{ "cells": [ { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/barr001/anaconda3/envs/python3.7/lib/python3.7/site-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n", " import pandas.util.testing as tm\n" ] } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "from datetime import datetime, timedelta \n", "import os\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import glob" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bring in original data and create mean_df to use for predictions\n", "\n", "### Change the data sources below as needed:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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release_monthmonth_end_datemonth_short_nameisrc_countstreamsmonths_after_release
02014-10-312015-03-31MAR 2015111110985425
12014-10-312014-11-30NOV 201419357621
22015-04-302015-04-30APR 2015241140041950
42015-04-302015-09-30SEP 2015784736945
82016-02-292016-02-29FEB 20168123541700
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" ], "text/plain": [ " release_month month_end_date month_short_name isrc_count streams \\\n", "0 2014-10-31 2015-03-31 MAR 2015 1111 1098542 \n", "1 2014-10-31 2014-11-30 NOV 2014 193 5762 \n", "2 2015-04-30 2015-04-30 APR 2015 241 14004195 \n", "4 2015-04-30 2015-09-30 SEP 2015 78 473694 \n", "8 2016-02-29 2016-02-29 FEB 2016 812 354170 \n", "\n", " months_after_release \n", "0 5 \n", "1 1 \n", "2 0 \n", "4 5 \n", "8 0 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Bring in streaming data and filter for relevant fields\n", "# Here I'm using the full US data but it may be necessary to re-run this at the label or country level\n", "df = pd.read_csv('/Users/barr001/OneDrive - Sony Music Entertainment/Desktop/Finance Market Share Trending/original_label_multi_partner_4_21.csv')\n", "# df = pd.read_excel('columbia_level.xlsx')\n", "# df = pd.read_csv('uk_data.csv')\n", "df = df[df['partner_name']=='Spotify']\n", "df = df[['release_month','month_end_date','month_short_name','isrc_count','streams','months_after_release']]\n", "# df = df.rename(columns={'original_label':'fin_label_parent_name'})\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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release_monthmonth_end_datemonth_short_nameisrc_countstreamsmonths_after_release
\n", "
" ], "text/plain": [ "Empty DataFrame\n", "Columns: [release_month, month_end_date, month_short_name, isrc_count, streams, months_after_release]\n", "Index: []" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fix date fields and check data quality (no negative months)\n", "df['release_month'] = pd.to_datetime(df['release_month'])\n", "df['month_end_date'] = pd.to_datetime(df['month_end_date'])\n", "df[df['months_after_release']<0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Below I bring in the market share data, we likely want to use the full US market share as I am below, but you may want to switch it out for testing or for predicting next year" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Unnamed: 0Industry StreamsSME StreamsUnnamed: 3Industry Streams.1SME Streams.1Unnamed: 6Industry Streams.2SME Streams.2
822020-11-01377973117635999125743NaN286793637484574919422NaN91179480151424206321
832020-12-01406408848306439229595NaN310540184924953508377NaN95868663381485721218
842021-01-01398744077656086509811NaN305439338924666705537NaN93304738731419804274
852021-02-01372929263305753272231NaN286023539664426311525NaN86905723641326960706
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" ], "text/plain": [ " Unnamed: 0 Industry Streams SME Streams Unnamed: 3 Industry Streams.1 \\\n", "82 2020-11-01 37797311763 5999125743 NaN 28679363748 \n", "83 2020-12-01 40640884830 6439229595 NaN 31054018492 \n", "84 2021-01-01 39874407765 6086509811 NaN 30543933892 \n", "85 2021-02-01 37292926330 5753272231 NaN 28602353966 \n", "86 2021-03-01 42792643914 6643458054 NaN 32972058638 \n", "\n", " SME Streams.1 Unnamed: 6 Industry Streams.2 SME Streams.2 \n", "82 4574919422 NaN 9117948015 1424206321 \n", "83 4953508377 NaN 9586866338 1485721218 \n", "84 4666705537 NaN 9330473873 1419804274 \n", "85 4426311525 NaN 8690572364 1326960706 \n", "86 5134246315 NaN 9820585276 1509211739 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Bring in market share data - the file will change based on what country you want to run this on\n", "ms = pd.read_excel('/Users/barr001/OneDrive - Sony Music Entertainment/Desktop/Finance Market Share Trending/Spotify US Streams (1).xlsx', skiprows=2)\n", "# ms = pd.read_excel(\"Spotify Streams thru Jul'21.xlsx\", skiprows=2, sheet_name='UK')\n", "ms.tail()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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report_monthIndustry StreamsSME Streams
02014-01-313667154310760387361
12014-02-283776915779775957473
22014-03-314272373773853643684
32014-04-304446857946876173071
42014-05-314766570840954313225
............
822020-11-30377973117635999125743
832020-12-31406408848306439229595
842021-01-31398744077656086509811
852021-02-28372929263305753272231
862021-03-31427926439146643458054
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87 rows × 3 columns

\n", "
" ], "text/plain": [ " report_month Industry Streams SME Streams\n", "0 2014-01-31 3667154310 760387361\n", "1 2014-02-28 3776915779 775957473\n", "2 2014-03-31 4272373773 853643684\n", "3 2014-04-30 4446857946 876173071\n", "4 2014-05-31 4766570840 954313225\n", ".. ... ... ...\n", "82 2020-11-30 37797311763 5999125743\n", "83 2020-12-31 40640884830 6439229595\n", "84 2021-01-31 39874407765 6086509811\n", "85 2021-02-28 37292926330 5753272231\n", "86 2021-03-31 42792643914 6643458054\n", "\n", "[87 rows x 3 columns]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Filter for only combined market share (I look at free and paid together for this project)\n", "ms = ms.rename(columns={'Unnamed: 0': 'report_month'})\n", "ms = ms[['report_month','Industry Streams', 'SME Streams']]\n", "ms['report_month'] = ms['report_month']-pd.offsets.MonthEnd(0)\n", "ms = ms[ms['report_month']<='2021-03-31']\n", "ms" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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release_monthmonth_end_datemonth_short_nameisrc_countstreamsmonths_after_releasereport_monthIndustry StreamsSME Streams
02014-10-312015-03-31MAR 20151111109854252015-03-3180511261991636131233
12014-10-312015-03-31MAR 20153722160152015-03-3180511261991636131233
22014-12-312015-03-31MAR 2015101663932015-03-3180511261991636131233
32015-03-312015-03-31MAR 20151102015-03-3180511261991636131233
42015-01-312015-03-31MAR 201578589986622015-03-3180511261991636131233
..............................
551742014-10-312014-12-31DEC 2014551892222014-12-3165271119151405770188
551752014-12-312014-12-31DEC 201438804134802014-12-3165271119151405770188
551762014-11-302014-12-31DEC 20141112014-12-3165271119151405770188
551772014-12-312014-12-31DEC 20143734139802014-12-3165271119151405770188
551782014-12-312014-12-31DEC 201450364802014-12-3165271119151405770188
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55179 rows × 9 columns

\n", "
" ], "text/plain": [ " release_month month_end_date month_short_name isrc_count streams \\\n", "0 2014-10-31 2015-03-31 MAR 2015 1111 1098542 \n", "1 2014-10-31 2015-03-31 MAR 2015 37 221601 \n", "2 2014-12-31 2015-03-31 MAR 2015 101 6639 \n", "3 2015-03-31 2015-03-31 MAR 2015 1 1 \n", "4 2015-01-31 2015-03-31 MAR 2015 78 5899866 \n", "... ... ... ... ... ... \n", "55174 2014-10-31 2014-12-31 DEC 2014 55 18922 \n", "55175 2014-12-31 2014-12-31 DEC 2014 38 8041348 \n", "55176 2014-11-30 2014-12-31 DEC 2014 1 1 \n", "55177 2014-12-31 2014-12-31 DEC 2014 37 341398 \n", "55178 2014-12-31 2014-12-31 DEC 2014 50 3648 \n", "\n", " months_after_release report_month Industry Streams SME Streams \n", "0 5 2015-03-31 8051126199 1636131233 \n", "1 5 2015-03-31 8051126199 1636131233 \n", "2 3 2015-03-31 8051126199 1636131233 \n", "3 0 2015-03-31 8051126199 1636131233 \n", "4 2 2015-03-31 8051126199 1636131233 \n", "... ... ... ... ... \n", "55174 2 2014-12-31 6527111915 1405770188 \n", "55175 0 2014-12-31 6527111915 1405770188 \n", "55176 1 2014-12-31 6527111915 1405770188 \n", "55177 0 2014-12-31 6527111915 1405770188 \n", "55178 0 2014-12-31 6527111915 1405770188 \n", "\n", "[55179 rows x 9 columns]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Combine streaming and market share data\n", "spotify = df.merge(ms, left_on='month_end_date', right_on='report_month')\n", "spotify" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_daterelease_monthmonths_after_releaseisrc_countstreamsIndustry StreamsSME Streamsmarket_share
02014-10-312014-10-310229325675856620973617612283575850.004135
12014-11-302014-10-311292850297552605936286612380873050.008301
22014-11-302014-11-300268143233438605936286612380873050.007135
32014-12-312014-10-312314168652242652711191514057701880.010518
42014-12-312014-11-301295794212210652711191514057701880.014434
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30762021-03-312020-11-30452421417958384279264391466434580540.003314
30772021-03-312020-12-31334554825620644279264391466434580540.001929
30782021-03-312021-01-3125220896691424279264391466434580540.002095
30792021-03-312021-02-28155761717990334279264391466434580540.004015
30802021-03-312021-03-31045721203461424279264391466434580540.002812
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3081 rows × 8 columns

\n", "
" ], "text/plain": [ " month_end_date release_month months_after_release isrc_count \\\n", "0 2014-10-31 2014-10-31 0 2293 \n", "1 2014-11-30 2014-10-31 1 2928 \n", "2 2014-11-30 2014-11-30 0 2681 \n", "3 2014-12-31 2014-10-31 2 3141 \n", "4 2014-12-31 2014-11-30 1 2957 \n", "... ... ... ... ... \n", "3076 2021-03-31 2020-11-30 4 5242 \n", "3077 2021-03-31 2020-12-31 3 34554 \n", "3078 2021-03-31 2021-01-31 2 5220 \n", "3079 2021-03-31 2021-02-28 1 5576 \n", "3080 2021-03-31 2021-03-31 0 4572 \n", "\n", " streams Industry Streams SME Streams market_share \n", "0 25675856 6209736176 1228357585 0.004135 \n", "1 50297552 6059362866 1238087305 0.008301 \n", "2 43233438 6059362866 1238087305 0.007135 \n", "3 68652242 6527111915 1405770188 0.010518 \n", "4 94212210 6527111915 1405770188 0.014434 \n", "... ... ... ... ... \n", "3076 141795838 42792643914 6643458054 0.003314 \n", "3077 82562064 42792643914 6643458054 0.001929 \n", "3078 89669142 42792643914 6643458054 0.002095 \n", "3079 171799033 42792643914 6643458054 0.004015 \n", "3080 120346142 42792643914 6643458054 0.002812 \n", "\n", "[3081 rows x 8 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Group data up to the month level and calculate market share\n", "spot_group = spotify.groupby(['month_end_date','release_month','months_after_release']).agg({'isrc_count':'sum','streams':'sum','Industry Streams':'mean','SME Streams':'mean'})\n", "spot_group['market_share'] = spot_group['streams']/spot_group['Industry Streams']\n", "spot_group = spot_group.reset_index()\n", "spot_group" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_daterelease_monthmonths_after_releaseisrc_countstreamsIndustry StreamsSME Streamsmarket_sharesix_month_segment
02014-10-312014-10-310229325675856620973617612283575850.0041350.0
12014-11-302014-10-311292850297552605936286612380873050.0083010.0
22014-11-302014-11-300268143233438605936286612380873050.0071350.0
32014-12-312014-10-312314168652242652711191514057701880.0105180.0
42014-12-312014-11-301295794212210652711191514057701880.0144340.0
..............................
30762021-03-312020-11-30452421417958384279264391466434580540.0033140.0
30772021-03-312020-12-31334554825620644279264391466434580540.0019290.0
30782021-03-312021-01-3125220896691424279264391466434580540.0020950.0
30792021-03-312021-02-28155761717990334279264391466434580540.0040150.0
30802021-03-312021-03-31045721203461424279264391466434580540.0028120.0
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3081 rows × 9 columns

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" ], "text/plain": [ " month_end_date release_month months_after_release isrc_count \\\n", "0 2014-10-31 2014-10-31 0 2293 \n", "1 2014-11-30 2014-10-31 1 2928 \n", "2 2014-11-30 2014-11-30 0 2681 \n", "3 2014-12-31 2014-10-31 2 3141 \n", "4 2014-12-31 2014-11-30 1 2957 \n", "... ... ... ... ... \n", "3076 2021-03-31 2020-11-30 4 5242 \n", "3077 2021-03-31 2020-12-31 3 34554 \n", "3078 2021-03-31 2021-01-31 2 5220 \n", "3079 2021-03-31 2021-02-28 1 5576 \n", "3080 2021-03-31 2021-03-31 0 4572 \n", "\n", " streams Industry Streams SME Streams market_share \\\n", "0 25675856 6209736176 1228357585 0.004135 \n", "1 50297552 6059362866 1238087305 0.008301 \n", "2 43233438 6059362866 1238087305 0.007135 \n", "3 68652242 6527111915 1405770188 0.010518 \n", "4 94212210 6527111915 1405770188 0.014434 \n", "... ... ... ... ... \n", "3076 141795838 42792643914 6643458054 0.003314 \n", "3077 82562064 42792643914 6643458054 0.001929 \n", "3078 89669142 42792643914 6643458054 0.002095 \n", "3079 171799033 42792643914 6643458054 0.004015 \n", "3080 120346142 42792643914 6643458054 0.002812 \n", "\n", " six_month_segment \n", "0 0.0 \n", "1 0.0 \n", "2 0.0 \n", "3 0.0 \n", "4 0.0 \n", "... ... \n", "3076 0.0 \n", "3077 0.0 \n", "3078 0.0 \n", "3079 0.0 \n", "3080 0.0 \n", "\n", "[3081 rows x 9 columns]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Add six_month_segment field to use to roll up the predictions at the very end\n", "spot_group['six_month_segment']=np.floor(spot_group['months_after_release']/6)\n", "spot_group" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "66" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(set(spot_group['month_end_date']))-12" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_date2014-10-312014-11-302014-12-312015-01-312015-02-282015-03-312015-04-302015-05-312015-06-302015-07-31...2020-06-302020-07-312020-08-312020-09-302020-10-312020-11-302020-12-312021-01-312021-02-282021-03-31
release_month
2014-10-310.0041350.0083010.0105180.0083240.0065830.0059510.0051730.0047660.0043960.003774...0.0004780.0004590.0005060.0005320.0005550.0007690.0010700.0004850.0005150.000513
2014-11-300.0000000.0071350.0144340.0160090.0138360.0119040.0103550.0092820.0085740.007946...0.0009690.0010810.0009930.0009610.0009700.0009590.0009560.0009670.0009850.000992
2014-12-310.0000000.0000000.0076700.0066890.0053450.0048290.0047490.0046180.0045770.004341...0.0008070.0007480.0007520.0007390.0007520.0007570.0007570.0008170.0008210.000828
2015-01-310.0000000.0000000.0000000.0042450.0086990.0084080.0075930.0074550.0070140.006353...0.0004050.0003950.0003940.0003860.0003870.0003690.0003320.0003750.0003900.000395
2015-02-280.0000000.0000000.0000000.0000000.0024470.0059920.0046880.0046560.0047030.005239...0.0003280.0003160.0003110.0003050.0003080.0002940.0002520.0002820.0002890.000309
..................................................................
2020-11-300.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.000000...0.0000000.0000000.0000000.0000000.0000000.0045850.0061490.0047020.0039780.003314
2020-12-310.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.000000...0.0000000.0000000.0000000.0000000.0000000.0000000.0017900.0026910.0022240.001929
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2021-03-310.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.000000...0.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.002812
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78 rows × 78 columns

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" ], "text/plain": [ "month_end_date 2014-10-31 2014-11-30 2014-12-31 2015-01-31 2015-02-28 \\\n", "release_month \n", "2014-10-31 0.004135 0.008301 0.010518 0.008324 0.006583 \n", "2014-11-30 0.000000 0.007135 0.014434 0.016009 0.013836 \n", "2014-12-31 0.000000 0.000000 0.007670 0.006689 0.005345 \n", "2015-01-31 0.000000 0.000000 0.000000 0.004245 0.008699 \n", "2015-02-28 0.000000 0.000000 0.000000 0.000000 0.002447 \n", "... ... ... ... ... ... \n", "2020-11-30 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2020-12-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2021-01-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2021-02-28 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2021-03-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "\n", "month_end_date 2015-03-31 2015-04-30 2015-05-31 2015-06-30 2015-07-31 \\\n", "release_month \n", "2014-10-31 0.005951 0.005173 0.004766 0.004396 0.003774 \n", "2014-11-30 0.011904 0.010355 0.009282 0.008574 0.007946 \n", "2014-12-31 0.004829 0.004749 0.004618 0.004577 0.004341 \n", "2015-01-31 0.008408 0.007593 0.007455 0.007014 0.006353 \n", "2015-02-28 0.005992 0.004688 0.004656 0.004703 0.005239 \n", "... ... ... ... ... ... \n", "2020-11-30 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2020-12-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2021-01-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2021-02-28 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "2021-03-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "\n", "month_end_date ... 2020-06-30 2020-07-31 2020-08-31 2020-09-30 \\\n", "release_month ... \n", "2014-10-31 ... 0.000478 0.000459 0.000506 0.000532 \n", "2014-11-30 ... 0.000969 0.001081 0.000993 0.000961 \n", "2014-12-31 ... 0.000807 0.000748 0.000752 0.000739 \n", "2015-01-31 ... 0.000405 0.000395 0.000394 0.000386 \n", "2015-02-28 ... 0.000328 0.000316 0.000311 0.000305 \n", "... ... ... ... ... ... \n", "2020-11-30 ... 0.000000 0.000000 0.000000 0.000000 \n", "2020-12-31 ... 0.000000 0.000000 0.000000 0.000000 \n", "2021-01-31 ... 0.000000 0.000000 0.000000 0.000000 \n", "2021-02-28 ... 0.000000 0.000000 0.000000 0.000000 \n", "2021-03-31 ... 0.000000 0.000000 0.000000 0.000000 \n", "\n", "month_end_date 2020-10-31 2020-11-30 2020-12-31 2021-01-31 2021-02-28 \\\n", "release_month \n", "2014-10-31 0.000555 0.000769 0.001070 0.000485 0.000515 \n", "2014-11-30 0.000970 0.000959 0.000956 0.000967 0.000985 \n", "2014-12-31 0.000752 0.000757 0.000757 0.000817 0.000821 \n", "2015-01-31 0.000387 0.000369 0.000332 0.000375 0.000390 \n", "2015-02-28 0.000308 0.000294 0.000252 0.000282 0.000289 \n", "... ... ... ... ... ... \n", "2020-11-30 0.000000 0.004585 0.006149 0.004702 0.003978 \n", "2020-12-31 0.000000 0.000000 0.001790 0.002691 0.002224 \n", "2021-01-31 0.000000 0.000000 0.000000 0.001949 0.002404 \n", "2021-02-28 0.000000 0.000000 0.000000 0.000000 0.003488 \n", "2021-03-31 0.000000 0.000000 0.000000 0.000000 0.000000 \n", "\n", "month_end_date 2021-03-31 \n", "release_month \n", "2014-10-31 0.000513 \n", "2014-11-30 0.000992 \n", "2014-12-31 0.000828 \n", "2015-01-31 0.000395 \n", "2015-02-28 0.000309 \n", "... ... \n", "2020-11-30 0.003314 \n", "2020-12-31 0.001929 \n", "2021-01-31 0.002095 \n", "2021-02-28 0.004015 \n", "2021-03-31 0.002812 \n", "\n", "[78 rows x 78 columns]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Separating out date_pivot so you can see what the data looks like\n", "# Each row represents a release month and each column the market share in that month for releases from that release month\n", "date_pivot = pd.pivot_table(spot_group.reset_index(), values='market_share', index=[\n", " 'release_month'],\n", " columns='month_end_date', aggfunc=np.sum, fill_value=0)\n", "date_pivot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What I am getting out of this is the decay for each of the following 12 months for releases of all ages\n", "\n", "- So for tracks released in March 2020 I calculate what % of March 2020 April 2020 is (April 2020 market share/March 2020 market share) \n", "- If March market share is 1.5 and april is .75, then the result for April is .5 and in the future we would expect april market share to be 1/2 of march market share\n", "- Then I do that for the rest of the 12 months (may 2020/march 2020, jun 2020/march 2020, july 2020/march 2020, etc.)\n", "\n", "First step:\n", "- The most inner for loop does this calculation for all 12 months after the month we are looking at (e.g. March 2020)\n", "\n", "### A key here is that we are always looking at the most recent month of data before our calculations, regardless of release age\n", "So if we are calculating decay for April 2020-March 2021 decay, we are always comparing each month to March 2020 market share. HOWEVER, what changes with each run is the age of the release. \n", "- This runs from oldest to youngest tracks, so we start with tracks released in October 2014\n", "- We calculate (April 2020 Market share for tracks released in Oct 2014)/(March 2020 market share for tracks released in Oct 2014)\n", "- Then (April 2020 Market share for tracks released in Nov 2014)/(March 2020 market share for tracks released in Now 2014)\n", "- We then repeat this process for all months until we get to (April 2020 Market share for March 2020 releases)/(March 2020 market share for March 2020 releases)\n", "\n", "Second step:\n", "- The above explains the second step, where the middle for loop iterates through all rows - going from oldest releases to youngest\n", "\n", "Third step:\n", "- The outer for loop iterates through all columns - we can only use months that have at least 12 months of actuals after (March 2020 here), so that is why we subtract 12 from k\n", "- So for the first iteration, our results look at April 2020-March 2021, then March 2020-February 2021, until we get all the way back to Nov 2014-Oct 2015\n", "- So the final result looks at the oldest month of data and calculates the decay for the next 12 months (here October 2014 releases, decay for November 2014-October 2015)\n", "\n", "### res_list3 \n", "- We end up with a set of lists of varying sizes based on the amount of data we have (each row always has 12 months of decay results but the number of rows depends on how many months of data we had prior to the month we're looking at\n", "- So we have 66 rows of 12 in the first list because we are calculating April 2020/March 2020 market share for October 2014 releases, April 2020/March 2020 market share for November 2014 releases, all the way to April 2020/March 2020 market share for march 2020 releases\n", "- We only have one row of 12 in the last list because we only have October 2014 market share for October 2014 releases" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "66" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Pivot the data to be able to compare a specific month's market share to the next 12 months of market share\n", "# For loop allows you to go through all of the data\n", "# I updated the numbers here to be based on the number of months in the data instead \n", "# (len(set(spot_group['month_end_date']))-12 instead of 66)\n", "\n", "res_list3 = []\n", "# I broke this out in a separate cell above so you can see what the data looks like, but can recombine if you want\n", "# date_pivot = pd.pivot_table(spot_group.reset_index(), values='market_share', index=[\n", "# 'release_month'],\n", "# columns='month_end_date', aggfunc=np.sum, fill_value=0)\n", "\n", "for k in range(len(set(spot_group['month_end_date']))-12):\n", " results=pd.DataFrame(columns=list(range(12)), index=list(range(len(set(spot_group['month_end_date']))-12-k)))\n", " for i in range(len(set(spot_group['month_end_date']))-12-k):\n", " for j in range(len(set(spot_group['month_end_date']))-12-k,len(set(spot_group['month_end_date']))-k):\n", " results.iloc[i,j-(len(set(spot_group['month_end_date']))-12)+k] = date_pivot.iloc[i,j]/date_pivot.iloc[i,len(set(spot_group['month_end_date']))-13-k] \n", " res_list3.append(results)\n", "\n", "results\n", "\n", "len(res_list3)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[ 0 1 2 3 4 5 6 \\\n", " 0 1.02478 1.02506 0.977746 0.938156 1.03469 1.08766 1.13591 \n", " 1 1.08899 1.06517 1.076 1.20069 1.10265 1.06675 1.07676 \n", " 2 0.968131 0.981303 1.03777 0.961558 0.96686 0.950123 0.967056 \n", " 3 0.987883 0.960419 0.943764 0.920339 0.918516 0.899673 0.903114 \n", " 4 1.00538 1.01202 0.992918 0.95609 0.942168 0.924067 0.932965 \n", " .. ... ... ... ... ... ... ... \n", " 61 0.87727 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1.03544 1.01228 0.961721 0.950067 0.923655 0.907638 0.885109 \n", " 4 1.02053 1.00364 0.962301 0.967483 0.973864 0.955487 0.920047 \n", " .. ... ... ... ... ... ... ... \n", " 58 1.12831 1.02942 0.918435 0.842128 0.804283 0.758628 0.717082 \n", " 59 0.995001 0.797083 0.702751 0.652355 0.63025 0.582981 0.530642 \n", " 60 0.883413 0.786235 0.66843 0.639089 0.601686 0.546478 0.520057 \n", " 61 0.951072 0.869809 0.900666 0.790127 0.719484 0.653534 0.587911 \n", " 62 1.17582 0.923221 0.747337 0.650179 0.574497 0.532043 0.473896 \n", " \n", " 7 8 9 10 11 \n", " 0 0.384758 0.404456 0.422398 0.585127 0.813583 \n", " 1 0.909936 0.880314 0.888569 0.878831 0.875612 \n", " 2 0.873309 0.858191 0.873486 0.879015 0.878989 \n", " 3 0.883356 0.865234 0.868543 0.827571 0.745707 \n", " 4 0.906649 0.889231 0.897793 0.857155 0.733779 \n", " .. ... ... ... ... ... \n", " 58 0.691253 0.655372 0.614361 0.568238 0.533598 \n", " 59 0.507501 0.493384 0.468914 0.435335 0.390423 \n", " 60 0.582068 0.568008 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0.59593 0.622366 0.862133 \n", " 1 1.05618 0.969937 0.938361 0.947161 0.936781 \n", " 2 0.85431 0.85902 0.84415 0.859195 0.864633 \n", " 3 0.762531 0.76102 0.745408 0.748259 0.712961 \n", " 4 0.813911 0.802059 0.78665 0.794225 0.758274 \n", " .. ... ... ... ... ... \n", " 57 0.592677 0.722398 0.615953 0.538008 0.510408 \n", " 58 0.591374 0.570073 0.540482 0.50666 0.468623 \n", " 59 0.451895 0.432189 0.420167 0.399327 0.370732 \n", " 60 0.374024 0.418622 0.40851 0.380324 0.364314 \n", " 61 0.714518 0.675198 0.662349 0.638051 0.579224 \n", " \n", " [62 rows x 12 columns],\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.4596 2.15059 0.860808 0.811175 0.799715 0.819535 0.819754 \n", " 1 1.07042 1.141 0.974504 0.953218 0.941588 1.02538 1.00295 \n", " 2 0.99424 0.977973 0.985267 0.955496 0.883346 0.855195 0.866831 \n", " 3 0.966263 0.832445 0.861949 0.842666 0.80058 0.790879 0.768892 \n", " 4 0.968412 0.856696 0.874287 0.859813 0.8244 0.828839 0.834306 \n", " .. ... ... ... ... ... ... ... \n", " 56 0.845283 0.707751 0.675089 0.601583 0.545975 0.511362 0.491386 \n", " 57 0.899362 0.767977 0.764088 0.693928 0.643053 0.613185 0.609967 \n", " 58 0.856599 0.706432 0.797075 0.727214 0.648812 0.594907 0.568172 \n", " 59 0.783022 0.666822 0.663489 0.531513 0.46861 0.435005 0.420265 \n", " 60 1.29563 0.931813 0.823176 0.732624 0.622852 0.595512 0.560659 \n", " \n", " 7 8 9 10 11 \n", " 0 0.781918 0.750257 0.827456 0.869818 0.908405 \n", " 1 1.01315 1.13055 1.03824 1.00444 1.01386 \n", " 2 0.916713 0.849389 0.854072 0.839288 0.854246 \n", " 3 0.755559 0.736805 0.735346 0.72026 0.723015 \n", " 4 0.818562 0.788201 0.776723 0.761801 0.769136 \n", " .. ... ... ... ... ... \n", " 56 0.472801 0.467441 0.460732 0.441954 0.42133 \n", " 57 0.580586 0.533031 0.649697 0.553965 0.483864 \n", " 58 0.535919 0.50657 0.488324 0.462976 0.434005 \n", " 59 0.388745 0.353844 0.338413 0.329 0.312682 \n", " 60 0.509216 0.484596 0.542379 0.529277 0.492759 \n", " \n", " [61 rows x 12 columns],\n", " 0 1 2 3 4 5 6 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0.999354 0.967708 0.922734 0.941335 0.922401 0.915327 0.92863 \n", " 15 0.988669 0.943749 0.892945 0.922692 0.895867 0.862661 0.867659 \n", " 16 0.979529 0.915507 0.862971 0.929443 0.891185 0.866805 0.86875 \n", " 17 0.967547 0.927451 0.86191 0.875987 0.855011 0.834783 0.856118 \n", " 18 0.976466 0.912065 0.821336 0.857969 0.861542 0.824763 0.814151 \n", " 19 0.966729 0.920078 0.844727 0.900279 0.899214 0.860055 0.887719 \n", " 20 0.992489 0.960079 0.906327 0.93064 0.905869 0.880243 0.924513 \n", " 21 0.994573 0.951038 0.923009 0.925511 0.858026 0.827976 0.8074 \n", " 22 0.961738 0.927905 0.907677 0.896078 0.865259 0.826934 0.837182 \n", " 23 0.994263 0.916302 0.846262 0.879221 0.871256 0.843236 0.963556 \n", " 24 1.02317 1.08049 1.26998 0.840336 0.849987 0.833698 0.857409 \n", " 25 0.976853 0.894704 0.800338 0.823338 0.800603 0.765006 0.754708 \n", " 26 1.03084 0.959186 0.897125 0.891887 0.872346 0.879162 0.881671 \n", " 27 0.931437 0.852315 0.789904 0.811312 0.771861 0.739628 0.726813 \n", " 28 0.965838 0.925965 0.864955 0.886926 0.850597 0.809571 0.799618 \n", " 29 0.959155 0.911375 0.845658 0.858432 0.823034 0.802448 0.78207 \n", " 30 0.979205 0.940702 0.934228 0.90234 0.88688 0.841557 0.847218 \n", " 31 1.04094 1.02111 0.984483 0.92689 0.909477 0.879968 0.919887 \n", " 32 0.971794 0.920607 0.868694 0.873853 0.860374 0.823433 0.845704 \n", " 33 0.980128 0.957025 0.897024 0.922337 0.894448 0.837662 0.832007 \n", " 34 0.951843 0.907342 0.83377 0.8341 0.7909 0.734476 0.714858 \n", " 35 1.0159 0.932597 0.854334 0.878967 0.841333 0.804255 0.793715 \n", " 36 0.98623 0.967289 0.991627 0.857736 0.822075 0.786525 0.767831 \n", " 37 0.9672 1.0089 1.22661 0.80689 0.784929 0.740855 0.725084 \n", " 38 0.946142 0.889922 0.85266 0.813817 0.776444 0.730937 0.716388 \n", " 39 0.960757 0.898958 0.824734 0.828327 0.805534 0.785379 0.766374 \n", " 40 0.944856 0.845553 0.798951 0.866012 0.825891 0.7914 0.804935 \n", " 41 0.963538 1.08758 0.977983 0.97778 0.933983 0.910128 0.880602 \n", " 42 0.970198 0.916825 0.845213 0.84845 0.817987 0.755281 0.739502 \n", " 43 0.970601 0.908155 0.836729 0.830885 0.805109 0.778569 0.779101 \n", " 44 0.969263 0.917514 0.836146 0.864433 0.879106 0.837703 0.831161 \n", " 45 0.939037 0.876655 0.80852 0.816666 0.773801 0.717424 0.692508 \n", " 46 0.941621 0.844719 0.775798 0.764481 0.717163 0.641197 0.746429 \n", " 47 0.95259 0.907035 0.8573 0.850813 0.808555 0.752462 0.703165 \n", " 48 0.954659 0.929945 1.15253 0.849094 0.78369 0.732266 0.713663 \n", " 49 0.965923 0.938689 0.903452 0.850218 0.824033 0.806453 0.802389 \n", " 50 0.93798 0.878914 0.854969 0.847404 0.797383 0.748867 0.743646 \n", " 51 1.00905 0.958656 0.872444 0.840835 0.781256 0.714607 0.658413 \n", " 52 0.946327 0.884051 0.831224 0.81898 0.773267 0.717194 0.673905 \n", " 53 0.866579 0.819861 0.769773 0.761864 0.704606 0.632278 0.600594 \n", " 54 0.893194 0.82669 0.788706 0.77572 0.728296 0.659126 0.619727 \n", " 55 0.894473 0.798626 0.710438 0.720504 0.691577 0.621455 0.591644 \n", " 56 0.845848 0.714981 0.59865 0.571023 0.508848 0.461812 0.432534 \n", " 57 0.907251 0.815947 0.696747 0.693219 0.629567 0.58341 0.556312 \n", " 58 0.708744 0.607109 0.50068 0.564922 0.515409 0.459842 0.421637 \n", " 59 1.25794 0.984997 0.838824 0.834631 0.668613 0.589485 0.547211 \n", " \n", " 7 8 9 10 11 \n", " 0 0.881986 0.841279 0.807214 0.890274 0.935852 \n", " 1 1.03401 1.04453 1.16556 1.07039 1.03554 \n", " 2 0.877207 0.927686 0.859556 0.864296 0.849334 \n", " 3 0.749196 0.736204 0.717931 0.716509 0.701809 \n", " 4 0.817957 0.802521 0.772755 0.761502 0.746872 \n", " 5 0.93526 0.935178 0.92583 0.912042 0.901355 \n", " 6 0.955246 0.936015 0.903697 0.914282 0.928404 \n", " 7 0.812867 0.807649 0.78075 0.774681 0.775067 \n", " 8 0.975666 1.00234 0.98455 0.972348 0.950454 \n", " 9 0.913923 0.891303 0.888848 0.858639 0.848427 \n", " 10 0.936444 0.909881 0.871603 0.865822 0.88689 \n", " 11 0.925002 0.885256 0.853711 0.838814 0.867877 \n", " 12 0.878398 0.875417 0.875591 0.869988 0.92061 \n", " 13 0.975762 0.966865 1.0612 0.975069 0.938309 \n", " 14 0.925099 0.895587 0.867346 0.853281 0.866468 \n", " 15 0.860408 0.837743 0.811437 0.806971 0.813958 \n", " 16 0.83397 0.817645 0.780625 0.773303 0.758589 \n", " 17 0.850956 0.840656 0.850806 0.859698 0.859894 \n", " 18 0.824951 0.821078 0.786212 0.763835 0.73044 \n", " 19 0.914658 0.92392 0.887571 0.861388 0.835736 \n", " 20 0.935541 0.918707 0.878441 0.852912 0.844143 \n", " 21 0.810691 0.836488 0.880439 0.820913 0.779943 \n", " 22 0.80231 0.777956 0.73761 0.708495 0.680054 \n", " 23 0.986668 0.939265 0.832567 0.790982 0.78501 \n", " 24 0.830345 0.631539 0.587071 0.586077 0.642172 \n", " 25 0.731473 0.722518 0.682855 0.669738 0.656925 \n", " 26 0.842673 0.828589 0.778844 0.756692 0.731738 \n", " 27 0.740595 0.723869 0.681138 0.643058 0.618535 \n", " 28 0.795171 0.789098 0.743088 0.714348 0.694682 \n", " 29 0.768282 0.767613 0.728791 0.700159 0.68187 \n", " 30 0.83671 0.831036 0.800762 0.802124 0.79934 \n", " 31 0.909832 0.900602 0.885462 0.888621 0.874284 \n", " 32 0.855575 0.841297 0.820313 0.838054 0.853883 \n", " 33 0.823855 0.817587 0.779356 0.764019 0.746345 \n", " 34 0.705661 0.66117 0.633296 0.612327 0.612159 \n", " 35 0.776819 0.761257 0.717132 0.712249 0.707311 \n", " 36 0.745849 0.728163 0.687356 0.669987 0.657528 \n", " 37 0.712767 0.700482 0.669889 0.70199 0.66618 \n", " 38 0.714204 0.714163 0.665631 0.667689 0.648359 \n", " 39 0.730881 0.706055 0.688667 0.661665 0.638255 \n", " 40 0.782733 0.689467 0.6458 0.613969 0.591403 \n", " 41 0.844498 0.77455 0.716416 0.70838 0.686649 \n", " 42 0.701045 0.68025 0.636877 0.613326 0.59855 \n", " 43 0.779678 0.815978 0.702925 0.677966 0.672546 \n", " 44 0.785903 0.742742 0.737545 0.720557 0.709344 \n", " 45 0.674972 0.676987 0.643196 0.623786 0.596418 \n", " 46 0.748086 0.675065 0.598936 0.576685 0.561192 \n", " 47 0.665268 0.650172 0.608884 0.581265 0.564568 \n", " 48 0.678405 0.657346 0.626047 0.599646 0.573189 \n", " 49 0.750541 0.721328 0.691537 0.692146 0.693566 \n", " 50 0.694742 0.67615 0.616758 0.598466 0.584721 \n", " 51 0.602932 0.572989 0.531297 0.519378 0.497722 \n", " 52 0.656719 0.630835 0.592264 0.583502 0.577544 \n", " 53 0.586341 0.566149 0.51383 0.495859 0.476083 \n", " 54 0.600523 0.595728 0.534201 0.516627 0.497784 \n", " 55 0.568192 0.536516 0.490505 0.461352 0.443536 \n", " 56 0.415638 0.399918 0.395384 0.389709 0.373826 \n", " 57 0.553393 0.526737 0.483593 0.589438 0.502585 \n", " 58 0.402688 0.37983 0.359028 0.346097 0.328131 \n", " 59 0.528669 0.489019 0.445115 0.425705 0.413863 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.998012 1.07378 1.56728 2.30925 0.924317 0.871022 0.858716 \n", " 1 0.965308 0.9952 1.06528 1.13553 0.969827 0.948643 0.937069 \n", " 2 1.01563 1.02779 1.02187 1.00515 1.01265 0.982047 0.907893 \n", " 3 0.97701 0.951982 0.919865 0.792473 0.82056 0.802203 0.762138 \n", " 4 0.955309 0.936588 0.907003 0.802372 0.818847 0.805291 0.772123 \n", " 5 0.956805 0.950609 0.938268 0.877109 0.92076 0.89921 0.866622 \n", " 6 0.984383 0.982195 0.953465 0.887061 0.929103 0.924668 0.901541 \n", " 7 0.99852 1.01571 0.975852 0.878838 0.880451 0.844387 0.823156 \n", " 8 0.961094 0.950272 0.900144 0.843014 0.891106 0.888517 0.873999 \n", " 9 0.997902 0.996512 0.980572 0.979826 1.0234 0.961896 0.899819 \n", " 10 0.979973 0.982595 0.951324 0.919429 0.969556 0.932533 0.927663 \n", " 11 1.08048 1.10124 1.03043 0.969474 0.983205 0.961299 0.953531 \n", " 12 0.982628 0.988605 1.00122 1.01334 0.932055 0.903515 0.87767 \n", " 13 0.976096 0.991281 0.971755 0.891941 0.929395 0.931603 0.932562 \n", " 14 0.962439 0.961817 0.93136 0.888075 0.905977 0.887754 0.880946 \n", " 15 0.993674 0.982415 0.93778 0.887296 0.916855 0.890201 0.857204 \n", " 16 0.973769 0.953835 0.891493 0.840335 0.905063 0.867808 0.844068 \n", " 17 0.977742 0.946011 0.906808 0.842725 0.856489 0.835979 0.816202 \n", " 18 0.931742 0.909814 0.849809 0.765273 0.799405 0.802734 0.768467 \n", " 19 0.943366 0.911979 0.86797 0.796887 0.849292 0.848288 0.811346 \n", " 20 0.984368 0.976974 0.94507 0.892159 0.916092 0.891708 0.866482 \n", " 21 0.95061 0.945451 0.904066 0.877422 0.8798 0.815648 0.787083 \n", " 22 0.964398 0.927498 0.89487 0.875362 0.864176 0.834454 0.797494 \n", " 23 1.06086 1.05477 0.972067 0.897765 0.932729 0.924279 0.894554 \n", " 24 0.985383 1.00822 1.0647 1.25142 0.828053 0.837563 0.821512 \n", " 25 0.970715 0.948246 0.868503 0.7769 0.799226 0.777158 0.742603 \n", " 26 0.966846 0.996667 0.927385 0.867382 0.862318 0.843425 0.850015 \n", " 27 0.94381 0.879099 0.804423 0.74552 0.765724 0.72849 0.698068 \n", " 28 0.956386 0.923714 0.88558 0.827231 0.848244 0.8135 0.774263 \n", " 29 0.929495 0.891529 0.847118 0.786035 0.797908 0.765005 0.745871 \n", " 30 0.952013 0.932217 0.895561 0.889398 0.85904 0.844321 0.801173 \n", " 31 1.023 1.06488 1.0446 1.00712 0.948206 0.930392 0.900205 \n", " 32 0.962245 0.935103 0.885849 0.835896 0.840861 0.82789 0.792344 \n", " 33 0.976111 0.956714 0.934162 0.875595 0.900303 0.873081 0.817651 \n", " 34 0.952994 0.907101 0.864692 0.794578 0.794893 0.753723 0.699951 \n", " 35 0.957437 0.972657 0.892903 0.817971 0.841556 0.805523 0.770024 \n", " 36 0.981536 0.96802 0.949429 0.973318 0.841898 0.806896 0.772003 \n", " 37 0.962499 0.930929 0.971069 1.18061 0.776631 0.755494 0.713073 \n", " 38 0.957654 0.906076 0.852238 0.816553 0.779355 0.743564 0.699985 \n", " 39 0.978637 0.940232 0.879753 0.807116 0.810631 0.788325 0.768601 \n", " 40 0.938997 0.887217 0.793971 0.750212 0.813183 0.775509 0.743122 \n", " 41 0.954533 0.919729 1.03813 0.933517 0.933323 0.891518 0.868748 \n", " 42 0.95509 0.926626 0.87565 0.807254 0.810346 0.781251 0.721361 \n", " 43 0.954147 0.926097 0.866514 0.798362 0.792787 0.768193 0.74287 \n", " 44 0.976893 0.946866 0.896314 0.816826 0.844458 0.858793 0.818347 \n", " 45 0.899837 0.84498 0.788847 0.727537 0.734867 0.696295 0.645565 \n", " 46 1.08948 1.02588 0.920304 0.845216 0.832885 0.781333 0.69857 \n", " 47 0.96186 0.916258 0.872441 0.824602 0.818362 0.777717 0.723763 \n", " 48 0.943171 0.900406 0.877097 1.08704 0.80084 0.739153 0.690652 \n", " 49 0.960317 0.927592 0.901439 0.8676 0.816478 0.791333 0.77445 \n", " 50 0.956845 0.897502 0.840984 0.818073 0.810835 0.762972 0.71655 \n", " 51 0.975719 0.984548 0.935379 0.85126 0.820419 0.762286 0.697256 \n", " 52 0.905445 0.856848 0.800459 0.752628 0.741542 0.700151 0.64938 \n", " 53 0.860425 0.745626 0.705429 0.662331 0.655526 0.606261 0.544028 \n", " 54 0.845156 0.754888 0.698681 0.666579 0.655604 0.615524 0.557064 \n", " 55 0.876132 0.783677 0.699702 0.622438 0.631257 0.605913 0.544477 \n", " 56 0.890859 0.753532 0.636948 0.533313 0.508701 0.453312 0.41141 \n", " 57 0.743974 0.674971 0.607043 0.518362 0.515737 0.468381 0.434042 \n", " 58 1.0768 0.763176 0.653736 0.539133 0.608309 0.554993 0.495158 \n", " \n", " 7 8 9 10 11 \n", " 0 0.879999 0.880233 0.839607 0.80561 0.888504 \n", " 1 1.02046 0.998138 1.00829 1.12513 1.03326 \n", " 2 0.878959 0.890918 0.942186 0.872992 0.877805 \n", " 3 0.752903 0.731972 0.719278 0.701425 0.700036 \n", " 4 0.776281 0.781401 0.766656 0.73822 0.72747 \n", " 5 0.882888 0.894861 0.894782 0.885838 0.872646 \n", " 6 0.946362 0.940328 0.921397 0.889585 0.900004 \n", " 7 0.826611 0.811664 0.806454 0.779595 0.773535 \n", " 8 0.908182 0.937707 0.963342 0.946246 0.934519 \n", " 9 0.921746 0.912006 0.889433 0.886984 0.856838 \n", " 10 0.931786 0.917689 0.891658 0.854147 0.848481 \n", " 11 1.04011 0.999451 0.956505 0.922422 0.906326 \n", " 12 0.885227 0.863138 0.860209 0.86038 0.854874 \n", " 13 0.989127 0.952437 0.943753 1.03583 0.951761 \n", " 14 0.893749 0.890351 0.861947 0.834767 0.821231 \n", " 15 0.862171 0.854966 0.832444 0.806305 0.801867 \n", " 16 0.845962 0.812094 0.796198 0.760149 0.753018 \n", " 17 0.837062 0.832015 0.821945 0.831869 0.840562 \n", " 18 0.758578 0.768642 0.765032 0.732547 0.711697 \n", " 19 0.837443 0.862858 0.871595 0.837305 0.812604 \n", " 20 0.910061 0.920916 0.904346 0.864708 0.839579 \n", " 21 0.767523 0.770651 0.795174 0.836954 0.780369 \n", " 22 0.807377 0.773746 0.750259 0.71135 0.683272 \n", " 23 1.0222 1.04672 0.996428 0.883236 0.83912 \n", " 24 0.844877 0.818208 0.622308 0.57849 0.577511 \n", " 25 0.732606 0.710051 0.701359 0.662858 0.650124 \n", " 26 0.85244 0.814735 0.801118 0.753022 0.731604 \n", " 27 0.685973 0.698981 0.683195 0.642865 0.606925 \n", " 28 0.764744 0.760491 0.754682 0.710679 0.683192 \n", " 29 0.72693 0.714114 0.713492 0.677407 0.650794 \n", " 30 0.806563 0.796559 0.791157 0.762336 0.763633 \n", " 31 0.941042 0.930755 0.921314 0.905825 0.909056 \n", " 32 0.813774 0.823272 0.809533 0.789341 0.806412 \n", " 33 0.812131 0.804173 0.798056 0.760738 0.745767 \n", " 34 0.681255 0.672491 0.630091 0.603527 0.583544 \n", " 35 0.759932 0.743755 0.728855 0.686609 0.681933 \n", " 36 0.753653 0.732078 0.714718 0.674665 0.657616 \n", " 37 0.697893 0.686038 0.674214 0.644768 0.675665 \n", " 38 0.686051 0.68396 0.683921 0.637444 0.639415 \n", " 39 0.750002 0.715267 0.690971 0.673955 0.647529 \n", " 40 0.755831 0.734984 0.647407 0.606405 0.576515 \n", " 41 0.840564 0.806101 0.739334 0.683843 0.676173 \n", " 42 0.706291 0.669561 0.6497 0.608275 0.585781 \n", " 43 0.743377 0.743927 0.778563 0.670694 0.64688 \n", " 44 0.811956 0.767744 0.72558 0.720503 0.703907 \n", " 45 0.623145 0.607365 0.609178 0.578772 0.561306 \n", " 46 0.813219 0.815024 0.735469 0.652529 0.628286 \n", " 47 0.676346 0.639895 0.625375 0.585661 0.559095 \n", " 48 0.673106 0.639852 0.619989 0.590469 0.565568 \n", " 49 0.770547 0.720757 0.692704 0.664095 0.66468 \n", " 50 0.711555 0.66476 0.646971 0.590142 0.572639 \n", " 51 0.642427 0.588293 0.559077 0.518397 0.506767 \n", " 52 0.610184 0.594623 0.571187 0.536263 0.52833 \n", " 53 0.516766 0.504502 0.487129 0.442112 0.42665 \n", " 54 0.523766 0.507535 0.503483 0.451483 0.43663 \n", " 55 0.518359 0.497811 0.470059 0.429747 0.404205 \n", " 56 0.385327 0.370275 0.356271 0.352232 0.347176 \n", " 57 0.413882 0.41171 0.391879 0.35978 0.438527 \n", " 58 0.454019 0.433615 0.409001 0.386602 0.372677 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.999266 0.99728 1.07299 1.56613 2.30756 0.923638 0.870383 \n", " 1 0.950321 0.917353 0.94576 1.01236 1.07911 0.921647 0.901515 \n", " 2 0.981742 0.997088 1.00902 1.00321 0.986797 0.994157 0.964117 \n", " 3 0.980724 0.958177 0.933631 0.902134 0.777197 0.804743 0.78674 \n", " 4 0.977144 0.933474 0.915181 0.886272 0.784032 0.800131 0.786885 \n", " 5 0.951063 0.909981 0.904089 0.892352 0.834185 0.8757 0.855206 \n", " 6 0.965563 0.950484 0.948371 0.920631 0.856514 0.897108 0.892825 \n", " 7 0.989185 0.987722 1.00473 0.965298 0.869334 0.870929 0.835255 \n", " 8 0.968504 0.930823 0.920342 0.871793 0.816462 0.863039 0.860532 \n", " 9 0.963592 0.961571 0.960232 0.944872 0.944153 0.986142 0.926875 \n", " 10 0.988525 0.968727 0.97132 0.940408 0.908879 0.95843 0.921832 \n", " 11 0.998056 1.07838 1.0991 1.02843 0.967589 0.981293 0.95943 \n", " 12 0.971311 0.954438 0.960243 0.972495 0.984266 0.905316 0.877594 \n", " 13 0.970997 0.947786 0.962531 0.943571 0.866072 0.902439 0.904583 \n", " 14 0.973839 0.937261 0.936655 0.906995 0.864843 0.882276 0.86453 \n", " 15 0.977625 0.971441 0.960434 0.916797 0.867443 0.896341 0.870282 \n", " 16 0.958403 0.933263 0.914159 0.854409 0.805379 0.867415 0.83171 \n", " 17 0.974746 0.953049 0.92212 0.883907 0.821442 0.834859 0.814867 \n", " 18 0.956907 0.891591 0.870608 0.813189 0.732295 0.764957 0.768142 \n", " 19 0.955617 0.901496 0.871503 0.829447 0.761518 0.811598 0.810638 \n", " 20 0.977592 0.96231 0.955083 0.923894 0.872168 0.895564 0.871727 \n", " 21 0.952391 0.905353 0.900439 0.861024 0.835649 0.837914 0.776816 \n", " 22 0.96426 0.92993 0.894349 0.862887 0.844076 0.83329 0.804631 \n", " 23 0.983633 1.0435 1.03751 0.956158 0.883071 0.917464 0.909152 \n", " 24 0.975263 0.961008 0.983279 1.03836 1.22047 0.80757 0.816844 \n", " 25 0.974182 0.945654 0.923765 0.84608 0.756843 0.778592 0.757093 \n", " 26 0.96591 0.933887 0.962691 0.89577 0.837813 0.832921 0.814673 \n", " 27 0.959258 0.905357 0.843283 0.771649 0.715146 0.734527 0.69881 \n", " 28 0.960006 0.918136 0.88677 0.850162 0.794146 0.814319 0.780964 \n", " 29 0.962974 0.895079 0.858519 0.815752 0.756931 0.768364 0.73668 \n", " 30 0.945784 0.900399 0.881675 0.847007 0.841178 0.812466 0.798545 \n", " 31 0.962308 0.984439 1.02474 1.00522 0.969163 0.912467 0.895324 \n", " 32 0.944971 0.909293 0.883645 0.837101 0.789897 0.794589 0.782332 \n", " 33 0.957767 0.934886 0.916309 0.89471 0.838616 0.86228 0.836207 \n", " 34 0.957937 0.912909 0.868946 0.82832 0.761156 0.761458 0.722019 \n", " 35 0.956039 0.915347 0.929898 0.85365 0.782012 0.80456 0.770112 \n", " 36 0.948113 0.930606 0.917792 0.900166 0.922815 0.798214 0.765029 \n", " 37 0.969005 0.932667 0.902075 0.940971 1.14402 0.752559 0.732077 \n", " 38 0.996106 0.953924 0.902547 0.848919 0.813373 0.77632 0.740669 \n", " 39 0.952 0.931663 0.895101 0.837525 0.768374 0.771721 0.750486 \n", " 40 0.951421 0.893381 0.844116 0.755401 0.713768 0.773679 0.737835 \n", " 41 0.972988 0.92875 0.894885 1.01009 0.908301 0.908113 0.867437 \n", " 42 0.966673 0.92326 0.895744 0.846468 0.78035 0.783339 0.755215 \n", " 43 0.944441 0.901136 0.874643 0.818371 0.754006 0.74874 0.725513 \n", " 44 0.978777 0.956161 0.926771 0.877291 0.79949 0.826536 0.840566 \n", " 45 0.957333 0.861444 0.808927 0.755189 0.696495 0.703512 0.666586 \n", " 46 0.996844 1.08604 1.02264 0.917399 0.842549 0.830257 0.778868 \n", " 47 0.960979 0.924327 0.880505 0.838398 0.792426 0.78643 0.74737 \n", " 48 0.947906 0.894038 0.853501 0.831406 1.03041 0.759122 0.700648 \n", " 49 0.966363 0.928015 0.89639 0.871117 0.838416 0.789014 0.764715 \n", " 50 0.928075 0.888024 0.832949 0.780496 0.759233 0.752515 0.708095 \n", " 51 0.909877 0.887785 0.895818 0.85108 0.774543 0.746481 0.693587 \n", " 52 0.946201 0.856734 0.81075 0.757396 0.712137 0.701648 0.662484 \n", " 53 0.838684 0.721625 0.625345 0.591632 0.555487 0.54978 0.508461 \n", " 54 0.831012 0.702334 0.627321 0.580613 0.553935 0.544815 0.511508 \n", " 55 0.79732 0.698558 0.624841 0.557886 0.496282 0.503314 0.483107 \n", " 56 0.745009 0.663698 0.561388 0.474532 0.397323 0.378987 0.337721 \n", " 57 1.18601 0.88236 0.800522 0.719959 0.614782 0.611669 0.555505 \n", " \n", " 7 8 9 10 11 \n", " 0 0.858086 0.879353 0.879587 0.83899 0.805018 \n", " 1 0.890516 0.969761 0.948551 0.958199 1.06923 \n", " 2 0.891317 0.862911 0.874652 0.924984 0.857053 \n", " 3 0.747447 0.73839 0.717862 0.705413 0.687905 \n", " 4 0.754476 0.758538 0.763541 0.749133 0.721347 \n", " 5 0.824212 0.839682 0.851069 0.850994 0.842488 \n", " 6 0.870494 0.913772 0.907946 0.889667 0.85895 \n", " 7 0.814254 0.817672 0.802886 0.797732 0.771164 \n", " 8 0.846472 0.879578 0.908173 0.933 0.916443 \n", " 9 0.867059 0.888187 0.878802 0.857051 0.854691 \n", " 10 0.917018 0.921094 0.907159 0.881427 0.844346 \n", " 11 0.951677 1.03809 0.997508 0.954646 0.920629 \n", " 12 0.852491 0.859831 0.838376 0.835531 0.835697 \n", " 13 0.905515 0.96044 0.924813 0.916381 1.00579 \n", " 14 0.8579 0.870368 0.867059 0.839398 0.812929 \n", " 15 0.838024 0.84288 0.835836 0.813818 0.788263 \n", " 16 0.808957 0.810772 0.778313 0.763078 0.728529 \n", " 17 0.795589 0.815923 0.811003 0.801187 0.81086 \n", " 18 0.735351 0.725889 0.735519 0.732065 0.700979 \n", " 19 0.775336 0.800275 0.824561 0.83291 0.800142 \n", " 20 0.847067 0.889668 0.900281 0.884081 0.845332 \n", " 21 0.749611 0.730982 0.733961 0.757317 0.797108 \n", " 22 0.768991 0.778521 0.746092 0.723444 0.685926 \n", " 23 0.879913 1.00547 1.02958 0.98012 0.868781 \n", " 24 0.801191 0.823978 0.797968 0.606914 0.56418 \n", " 25 0.723431 0.713692 0.69172 0.683252 0.645744 \n", " 26 0.821038 0.823381 0.786961 0.773808 0.727352 \n", " 27 0.669627 0.658025 0.670503 0.65536 0.616673 \n", " 28 0.743296 0.734158 0.730075 0.724499 0.682256 \n", " 29 0.718254 0.700014 0.687673 0.687074 0.652325 \n", " 30 0.757736 0.762834 0.753372 0.748263 0.721005 \n", " 31 0.866275 0.905573 0.895674 0.886588 0.871683 \n", " 32 0.748742 0.768993 0.777968 0.764985 0.745904 \n", " 33 0.783119 0.777832 0.77021 0.764351 0.728609 \n", " 34 0.670509 0.6526 0.644204 0.603588 0.578141 \n", " 35 0.736172 0.726524 0.711059 0.696814 0.656425 \n", " 36 0.731945 0.714548 0.694092 0.677633 0.639658 \n", " 37 0.690971 0.676262 0.664774 0.653317 0.624783 \n", " 38 0.697259 0.683379 0.681297 0.681257 0.634962 \n", " 39 0.731708 0.714002 0.680934 0.657805 0.641605 \n", " 40 0.707021 0.719114 0.699279 0.615957 0.576946 \n", " 41 0.845282 0.817859 0.784327 0.719364 0.665371 \n", " 42 0.697321 0.682752 0.647246 0.628047 0.588003 \n", " 43 0.701596 0.702076 0.702595 0.735307 0.633431 \n", " 44 0.800979 0.794723 0.75145 0.710181 0.705211 \n", " 45 0.61802 0.596557 0.58145 0.583186 0.554078 \n", " 46 0.696366 0.810652 0.812452 0.733148 0.650469 \n", " 47 0.695521 0.649955 0.614926 0.600972 0.562808 \n", " 48 0.654673 0.638042 0.60652 0.587692 0.559709 \n", " 49 0.7484 0.744628 0.696513 0.669403 0.641756 \n", " 50 0.665012 0.660376 0.616947 0.600437 0.547696 \n", " 51 0.634417 0.58453 0.535274 0.508691 0.471678 \n", " 52 0.614444 0.577357 0.562633 0.540458 0.507413 \n", " 53 0.456268 0.433404 0.423118 0.408547 0.370792 \n", " 54 0.462927 0.435256 0.421768 0.4184 0.375188 \n", " 55 0.434122 0.413298 0.396915 0.374788 0.342646 \n", " 56 0.306504 0.287072 0.275858 0.265425 0.262416 \n", " 57 0.514778 0.490868 0.488292 0.464772 0.426703 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.988038 0.987313 0.985351 1.06015 1.5474 2.27996 0.91259 \n", " 1 1.00735 0.957303 0.924092 0.952708 1.0198 1.08704 0.928418 \n", " 2 0.944492 0.927248 0.941741 0.953013 0.947524 0.932021 0.938973 \n", " 3 0.969405 0.950719 0.928862 0.905067 0.874533 0.753419 0.780122 \n", " 4 0.973993 0.951731 0.909196 0.89138 0.863223 0.763642 0.779322 \n", " 5 1.00374 0.954623 0.913387 0.907473 0.895692 0.837308 0.878978 \n", " 6 0.971338 0.937888 0.923242 0.921189 0.894244 0.831964 0.871395 \n", " 7 1.00754 0.996643 0.995168 1.0123 0.972576 0.875888 0.877495 \n", " 8 0.991859 0.960619 0.923245 0.91285 0.864696 0.809815 0.856013 \n", " 9 0.987746 0.951785 0.949788 0.948465 0.933294 0.932584 0.974058 \n", " 10 0.977527 0.96631 0.946957 0.949491 0.919274 0.888453 0.936891 \n", " 11 0.986611 0.984693 1.06395 1.08439 1.01466 0.954634 0.968155 \n", " 12 0.979718 0.951612 0.93508 0.940768 0.952771 0.964303 0.886954 \n", " 13 1.00324 0.974138 0.950852 0.965645 0.946624 0.868874 0.905359 \n", " 14 1.00685 0.980513 0.943684 0.943074 0.913211 0.87077 0.888323 \n", " 15 0.954551 0.933193 0.92729 0.916783 0.875129 0.828019 0.855603 \n", " 16 1.00354 0.961798 0.936569 0.917396 0.857436 0.808232 0.870487 \n", " 17 1.00167 0.976372 0.954639 0.923658 0.885382 0.822813 0.836252 \n", " 18 0.997584 0.954596 0.889437 0.868505 0.811224 0.730526 0.763109 \n", " 19 0.99038 0.946423 0.892823 0.863118 0.821467 0.754192 0.80379 \n", " 20 0.976649 0.954765 0.93984 0.932781 0.90232 0.851802 0.874652 \n", " 21 0.964125 0.918224 0.872873 0.868136 0.830135 0.80567 0.807854 \n", " 22 0.944832 0.911063 0.878627 0.845009 0.815283 0.79751 0.787319 \n", " 23 0.963893 0.948117 1.00582 1.00005 0.921634 0.851186 0.884337 \n", " 24 0.955345 0.931713 0.918095 0.939371 0.991991 1.16597 0.771508 \n", " 25 0.941858 0.917541 0.890671 0.870055 0.796887 0.712838 0.733323 \n", " 26 0.984566 0.951002 0.919473 0.947832 0.881945 0.824882 0.820066 \n", " 27 0.9679 0.928465 0.876295 0.816213 0.746879 0.692189 0.710948 \n", " 28 0.96959 0.930812 0.890216 0.859804 0.824309 0.769996 0.789556 \n", " 29 0.972671 0.936657 0.870617 0.835057 0.793459 0.736245 0.747366 \n", " 30 0.959528 0.907506 0.863957 0.845992 0.812726 0.807133 0.779583 \n", " 31 0.954919 0.918927 0.940059 0.978543 0.959907 0.925472 0.871332 \n", " 32 0.959341 0.906549 0.872322 0.847717 0.803066 0.757781 0.762282 \n", " 33 0.936052 0.896519 0.875102 0.857712 0.837495 0.784988 0.807139 \n", " 34 0.940479 0.90092 0.858572 0.817225 0.779018 0.715852 0.716135 \n", " 35 0.952944 0.911051 0.872274 0.886141 0.813481 0.745214 0.7667 \n", " 36 0.952405 0.902987 0.886314 0.87411 0.857322 0.878894 0.760223 \n", " 37 0.96593 0.935991 0.90089 0.871341 0.908912 1.10504 0.726919 \n", " 38 1.02846 1.02445 0.981071 0.928232 0.873077 0.836519 0.798412 \n", " 39 0.980813 0.933734 0.913787 0.877927 0.821456 0.753632 0.756914 \n", " 40 0.947842 0.901797 0.846784 0.800089 0.716001 0.676539 0.733325 \n", " 41 0.952613 0.926881 0.884739 0.852479 0.962226 0.86526 0.86508 \n", " 42 0.973093 0.940663 0.898418 0.871643 0.823692 0.759354 0.762262 \n", " 43 0.936166 0.884153 0.843612 0.818811 0.766131 0.705874 0.700945 \n", " 44 0.977693 0.956943 0.934832 0.906098 0.857721 0.781656 0.808099 \n", " 45 0.964033 0.9229 0.83046 0.779832 0.728027 0.671443 0.678208 \n", " 46 0.940217 0.937249 1.02111 0.961502 0.862554 0.792178 0.780621 \n", " 47 0.924645 0.888565 0.854674 0.814155 0.77522 0.732712 0.727168 \n", " 48 0.926213 0.877963 0.828069 0.790523 0.770059 0.954378 0.703108 \n", " 49 0.972236 0.939533 0.902249 0.871503 0.846931 0.815138 0.767108 \n", " 50 0.858371 0.796633 0.762254 0.714979 0.669956 0.651704 0.645937 \n", " 51 0.877763 0.798656 0.779265 0.786316 0.747047 0.679865 0.655233 \n", " 52 0.912494 0.863403 0.781764 0.739805 0.691119 0.649821 0.64025 \n", " 53 0.821428 0.688919 0.592763 0.513676 0.485983 0.456293 0.451604 \n", " 54 0.813301 0.675863 0.571209 0.510201 0.472213 0.450516 0.443098 \n", " 55 0.672801 0.536437 0.46999 0.420394 0.375346 0.333899 0.33863 \n", " 56 1.56155 1.16336 1.03639 0.876633 0.741003 0.620437 0.591805 \n", " \n", " 7 8 9 10 11 \n", " 0 0.859971 0.847822 0.868834 0.869066 0.828955 \n", " 1 0.908138 0.897058 0.976885 0.95552 0.965239 \n", " 2 0.9106 0.841841 0.815013 0.826101 0.87364 \n", " 3 0.76267 0.724579 0.715799 0.695899 0.683831 \n", " 4 0.76642 0.734854 0.73881 0.743683 0.72965 \n", " 5 0.858406 0.827297 0.842825 0.854255 0.854179 \n", " 6 0.867235 0.845544 0.887582 0.881923 0.864168 \n", " 7 0.841553 0.820393 0.823836 0.808939 0.803746 \n", " 8 0.853526 0.83958 0.872417 0.900779 0.925404 \n", " 9 0.915518 0.856434 0.877304 0.868033 0.846549 \n", " 10 0.901116 0.896409 0.900394 0.886772 0.861618 \n", " 11 0.946584 0.938935 1.02419 0.984152 0.941864 \n", " 12 0.859795 0.835201 0.842392 0.821372 0.818585 \n", " 13 0.90751 0.908445 0.963547 0.927805 0.919346 \n", " 14 0.870455 0.863779 0.876333 0.873001 0.845151 \n", " 15 0.830729 0.799937 0.804572 0.797848 0.776831 \n", " 16 0.834656 0.811823 0.813644 0.78107 0.765781 \n", " 17 0.816227 0.796917 0.817284 0.812356 0.802524 \n", " 18 0.766287 0.733575 0.724135 0.733742 0.730296 \n", " 19 0.802839 0.767877 0.792576 0.816629 0.824897 \n", " 20 0.851371 0.827287 0.868894 0.879259 0.863437 \n", " 21 0.748947 0.722718 0.704758 0.70763 0.730148 \n", " 22 0.76024 0.726567 0.735571 0.704932 0.683533 \n", " 23 0.876325 0.848142 0.969163 0.992409 0.944731 \n", " 24 0.780368 0.765414 0.787183 0.762335 0.579812 \n", " 25 0.713074 0.681369 0.672196 0.651501 0.643526 \n", " 26 0.802099 0.808366 0.810672 0.774815 0.761865 \n", " 27 0.676378 0.648132 0.636903 0.64898 0.634323 \n", " 28 0.757215 0.720693 0.711833 0.707874 0.702467 \n", " 29 0.716547 0.698625 0.680884 0.66888 0.668297 \n", " 30 0.766226 0.727069 0.73196 0.722882 0.717979 \n", " 31 0.854962 0.827222 0.864749 0.855296 0.84662 \n", " 32 0.750523 0.718299 0.737726 0.746337 0.733882 \n", " 33 0.782734 0.73304 0.728091 0.720957 0.715472 \n", " 34 0.679044 0.6306 0.613756 0.60586 0.567662 \n", " 35 0.733873 0.701531 0.692337 0.677599 0.664025 \n", " 36 0.728617 0.697109 0.680539 0.661057 0.645382 \n", " 37 0.707135 0.667429 0.653221 0.642125 0.631058 \n", " 38 0.761746 0.717101 0.702827 0.700685 0.700644 \n", " 39 0.736086 0.717669 0.700303 0.667869 0.645184 \n", " 40 0.699351 0.670145 0.681606 0.662806 0.58383 \n", " 41 0.826331 0.805226 0.779103 0.74716 0.685275 \n", " 42 0.734894 0.678558 0.664382 0.629831 0.611148 \n", " 43 0.6792 0.65681 0.657259 0.657746 0.688369 \n", " 44 0.821816 0.783112 0.776996 0.734687 0.694339 \n", " 45 0.642611 0.595792 0.5751 0.560537 0.562211 \n", " 46 0.732304 0.654735 0.762189 0.763881 0.689318 \n", " 47 0.691051 0.64311 0.600977 0.568588 0.555686 \n", " 48 0.648949 0.606367 0.590962 0.561766 0.544327 \n", " 49 0.743483 0.727622 0.723954 0.677175 0.650818 \n", " 50 0.607809 0.570827 0.566848 0.52957 0.515398 \n", " 51 0.608805 0.556868 0.513078 0.469844 0.44651 \n", " 52 0.604513 0.560677 0.526835 0.5134 0.493164 \n", " 53 0.417665 0.374791 0.35601 0.347561 0.335592 \n", " 54 0.41601 0.376499 0.353994 0.343024 0.340285 \n", " 55 0.325035 0.292078 0.278067 0.267045 0.252157 \n", " 56 0.527367 0.478619 0.448276 0.430765 0.414473 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.968332 0.956749 0.956047 0.954147 1.02658 1.4984 2.20776 \n", " 1 0.966303 0.973402 0.925044 0.892953 0.920604 0.985433 1.05041 \n", " 2 0.931895 0.880167 0.864097 0.877603 0.888108 0.882993 0.868546 \n", " 3 0.967466 0.937866 0.919788 0.898642 0.875622 0.846081 0.728907 \n", " 4 0.985656 0.960022 0.938079 0.896155 0.878594 0.850841 0.752688 \n", " 5 1.00663 1.0104 0.960956 0.919447 0.913494 0.901634 0.842863 \n", " 6 0.940154 0.913207 0.881759 0.867989 0.866059 0.840727 0.782174 \n", " 7 0.952502 0.959683 0.949305 0.9479 0.964222 0.926381 0.834285 \n", " 8 0.993212 0.985126 0.954099 0.916979 0.906654 0.858826 0.804319 \n", " 9 0.973236 0.96131 0.926311 0.924368 0.923081 0.908315 0.907624 \n", " 10 0.968483 0.946718 0.935854 0.917112 0.919566 0.890301 0.860452 \n", " 11 0.945582 0.932921 0.931108 1.00605 1.02538 0.959442 0.902685 \n", " 12 0.964936 0.945366 0.918245 0.902293 0.907781 0.919364 0.930491 \n", " 13 0.976188 0.979346 0.950942 0.92821 0.942651 0.924083 0.848184 \n", " 14 0.983801 0.990544 0.96463 0.928397 0.927797 0.898418 0.856664 \n", " 15 0.956757 0.913273 0.892839 0.887191 0.877139 0.837286 0.792212 \n", " 16 0.978155 0.981619 0.940787 0.916109 0.897356 0.838704 0.790576 \n", " 17 0.942802 0.944376 0.920526 0.900036 0.870827 0.83474 0.77575 \n", " 18 0.989829 0.987438 0.944887 0.88039 0.859671 0.802973 0.723096 \n", " 19 0.995459 0.985882 0.942126 0.888769 0.859199 0.817737 0.750767 \n", " 20 0.959943 0.937528 0.91652 0.902193 0.895417 0.866176 0.817682 \n", " 21 0.98134 0.946134 0.901089 0.856585 0.851936 0.814644 0.790636 \n", " 22 0.940578 0.888688 0.856926 0.826418 0.794797 0.766837 0.75012 \n", " 23 0.941884 0.907875 0.893016 0.947364 0.941929 0.868072 0.801719 \n", " 24 0.99034 0.946117 0.922713 0.909226 0.930297 0.982409 1.1547 \n", " 25 0.974663 0.917994 0.894294 0.868104 0.84801 0.776696 0.694777 \n", " 26 0.967482 0.95255 0.920078 0.889574 0.917011 0.853266 0.798059 \n", " 27 0.949167 0.918698 0.881268 0.83175 0.774722 0.708913 0.657003 \n", " 28 0.968305 0.938859 0.901309 0.862 0.832552 0.798182 0.745591 \n", " 29 0.961637 0.935356 0.900723 0.837217 0.803021 0.763019 0.708 \n", " 30 0.958807 0.920002 0.870122 0.828368 0.811143 0.779248 0.773885 \n", " 31 0.949341 0.906544 0.872375 0.892437 0.928972 0.91128 0.878589 \n", " 32 0.980208 0.940354 0.888607 0.855057 0.830939 0.787172 0.742783 \n", " 33 0.912698 0.854333 0.818251 0.798704 0.782832 0.76438 0.716457 \n", " 34 0.94411 0.887916 0.850568 0.810586 0.771551 0.735479 0.675843 \n", " 35 0.935126 0.891122 0.851948 0.815686 0.828653 0.760707 0.696869 \n", " 36 0.924768 0.880754 0.835054 0.819635 0.808349 0.792825 0.812773 \n", " 37 0.937742 0.905793 0.877718 0.844802 0.817093 0.852325 1.03624 \n", " 38 0.932817 0.959363 0.955627 0.91516 0.865871 0.814421 0.78032 \n", " 39 0.926519 0.908742 0.865123 0.846641 0.813416 0.761094 0.698254 \n", " 40 0.943266 0.894067 0.850634 0.798742 0.754697 0.675379 0.638156 \n", " 41 0.918141 0.874633 0.851007 0.812315 0.782696 0.883459 0.79443 \n", " 42 0.922566 0.897743 0.867824 0.828849 0.804148 0.75991 0.700554 \n", " 43 0.923478 0.864528 0.816496 0.779057 0.756154 0.707505 0.65186 \n", " 44 0.922896 0.902309 0.883159 0.862753 0.836234 0.791588 0.721388 \n", " 45 0.936857 0.903161 0.864625 0.778022 0.730591 0.682057 0.629046 \n", " 46 0.900878 0.847021 0.844348 0.919899 0.866196 0.777056 0.713656 \n", " 47 0.892312 0.825072 0.792877 0.762636 0.72648 0.691738 0.653808 \n", " 48 0.864977 0.801152 0.759417 0.71626 0.683784 0.666083 0.825515 \n", " 49 0.970676 0.943726 0.911982 0.875792 0.845947 0.822096 0.791236 \n", " 50 0.877772 0.753454 0.699262 0.669085 0.627589 0.588068 0.572047 \n", " 51 0.916564 0.804526 0.73202 0.714246 0.720709 0.684716 0.62314 \n", " 52 0.81644 0.744997 0.704917 0.638264 0.604007 0.564258 0.53054 \n", " 53 0.753112 0.618628 0.518833 0.446417 0.386855 0.366 0.34364 \n", " 54 0.68894 0.560316 0.465629 0.393529 0.351498 0.325326 0.310379 \n", " 55 1.15144 0.774688 0.617674 0.541164 0.484057 0.432188 0.384463 \n", " \n", " 7 8 9 10 11 \n", " 0 0.88369 0.832738 0.820973 0.84132 0.841545 \n", " 1 0.897133 0.877536 0.86683 0.943967 0.923321 \n", " 2 0.875024 0.848583 0.784507 0.759506 0.769839 \n", " 3 0.754741 0.737857 0.701005 0.692511 0.673259 \n", " 4 0.768144 0.755427 0.724313 0.728213 0.733016 \n", " 5 0.88481 0.864102 0.832785 0.848417 0.859922 \n", " 6 0.819245 0.815334 0.794942 0.834463 0.829143 \n", " 7 0.835816 0.801581 0.781426 0.784706 0.770517 \n", " 8 0.850203 0.847732 0.833881 0.866496 0.894665 \n", " 9 0.947988 0.891015 0.833512 0.853823 0.844801 \n", " 10 0.907363 0.872715 0.868157 0.872016 0.858823 \n", " 11 0.915469 0.895072 0.88784 0.968454 0.930596 \n", " 12 0.855855 0.829648 0.805916 0.812855 0.792572 \n", " 13 0.883801 0.8859 0.886813 0.940603 0.905712 \n", " 14 0.873933 0.856354 0.849787 0.862138 0.85886 \n", " 15 0.818604 0.794806 0.765345 0.76978 0.763347 \n", " 16 0.851471 0.816422 0.794088 0.79587 0.764007 \n", " 17 0.78842 0.769541 0.751335 0.770537 0.765891 \n", " 18 0.755347 0.758493 0.726114 0.71677 0.726279 \n", " 19 0.80014 0.799193 0.76439 0.788977 0.81292 \n", " 20 0.839616 0.817268 0.794148 0.834089 0.844038 \n", " 21 0.792779 0.734972 0.709232 0.691607 0.694426 \n", " 22 0.740535 0.715066 0.683393 0.691863 0.663043 \n", " 23 0.832942 0.825396 0.798851 0.912838 0.934733 \n", " 24 0.764056 0.77283 0.75802 0.779579 0.754971 \n", " 25 0.714743 0.695007 0.664105 0.655165 0.634994 \n", " 26 0.793399 0.776016 0.78208 0.784311 0.74962 \n", " 27 0.674808 0.641995 0.615185 0.604527 0.61599 \n", " 28 0.76453 0.733215 0.69785 0.689271 0.685437 \n", " 29 0.718694 0.689058 0.671824 0.654763 0.643219 \n", " 30 0.74747 0.734663 0.697119 0.701808 0.693104 \n", " 31 0.827191 0.811651 0.785316 0.820942 0.811968 \n", " 32 0.747195 0.735669 0.704082 0.723125 0.731565 \n", " 33 0.736674 0.714399 0.669044 0.664527 0.658016 \n", " 34 0.676111 0.641093 0.595356 0.579454 0.571999 \n", " 35 0.716961 0.686264 0.65602 0.647422 0.63364 \n", " 36 0.70303 0.673802 0.644664 0.629341 0.611325 \n", " 37 0.681663 0.66311 0.625876 0.612553 0.602147 \n", " 38 0.744773 0.71057 0.668924 0.655609 0.653611 \n", " 39 0.701295 0.681998 0.664934 0.648844 0.618794 \n", " 40 0.691721 0.659674 0.632124 0.642936 0.625202 \n", " 41 0.794265 0.758689 0.739311 0.715327 0.685998 \n", " 42 0.703237 0.677988 0.626014 0.612936 0.581061 \n", " 43 0.647307 0.627226 0.60655 0.606964 0.607414 \n", " 44 0.745791 0.758451 0.722731 0.717086 0.67804 \n", " 45 0.635384 0.602034 0.558172 0.538787 0.525143 \n", " 46 0.703245 0.659717 0.589836 0.686639 0.688164 \n", " 47 0.648861 0.616634 0.573855 0.536259 0.507358 \n", " 48 0.608172 0.561326 0.524493 0.511168 0.485915 \n", " 49 0.744614 0.721682 0.706285 0.702725 0.657317 \n", " 50 0.566985 0.533517 0.501056 0.497563 0.464841 \n", " 51 0.600563 0.558009 0.510405 0.470269 0.430642 \n", " 52 0.522726 0.493549 0.457759 0.430129 0.41916 \n", " 53 0.340109 0.314548 0.28226 0.268115 0.261752 \n", " 54 0.305268 0.286606 0.259385 0.243881 0.236323 \n", " 55 0.389911 0.374257 0.336309 0.320177 0.307485 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.957226 0.926913 0.915825 0.915153 0.913334 0.982671 1.4343 \n", " 1 0.949917 0.917907 0.924651 0.878715 0.848231 0.874498 0.936079 \n", " 2 0.937232 0.873401 0.82492 0.809859 0.822518 0.832363 0.827569 \n", " 3 0.963494 0.932147 0.903628 0.88621 0.865836 0.843656 0.815194 \n", " 4 0.98904 0.974854 0.9495 0.927798 0.886334 0.868965 0.841516 \n", " 5 1.0019 1.00854 1.01232 0.962778 0.92119 0.915225 0.903343 \n", " 6 1.09271 1.02731 0.997868 0.963505 0.948458 0.946349 0.918668 \n", " 7 0.986293 0.939447 0.946529 0.936293 0.934907 0.951005 0.913683 \n", " 8 0.995388 0.988632 0.980583 0.949698 0.912749 0.902472 0.854865 \n", " 9 0.976465 0.950331 0.938686 0.904511 0.902613 0.901356 0.886938 \n", " 10 0.971741 0.941114 0.919964 0.909408 0.891195 0.89358 0.865142 \n", " 11 0.967583 0.914929 0.902679 0.900924 0.973434 0.992137 0.92834 \n", " 12 0.9843 0.949787 0.930524 0.903828 0.888127 0.893529 0.90493 \n", " 13 0.971534 0.9484 0.951468 0.923872 0.901788 0.915817 0.897778 \n", " 14 0.979164 0.963303 0.969904 0.944531 0.909053 0.908466 0.879698 \n", " 15 0.969929 0.927986 0.88581 0.86599 0.860512 0.850762 0.812108 \n", " 16 0.964233 0.943169 0.94651 0.907138 0.883343 0.86526 0.808707 \n", " 17 0.991397 0.934692 0.936251 0.912607 0.892294 0.863336 0.827559 \n", " 18 0.974436 0.964525 0.962195 0.920731 0.857884 0.837694 0.782446 \n", " 19 1.01387 1.00927 0.999561 0.955197 0.9011 0.87112 0.829082 \n", " 20 0.993554 0.953755 0.931484 0.910612 0.896377 0.889645 0.860592 \n", " 21 0.974087 0.955911 0.921617 0.87774 0.834388 0.82986 0.793535 \n", " 22 0.964944 0.907605 0.857534 0.826886 0.797447 0.766935 0.739955 \n", " 23 0.968993 0.912678 0.879724 0.865326 0.917989 0.912723 0.841155 \n", " 24 0.999792 0.990135 0.945921 0.922522 0.909037 0.930104 0.982205 \n", " 25 0.972923 0.948272 0.893137 0.870079 0.844599 0.825049 0.755666 \n", " 26 0.928697 0.898498 0.88463 0.854473 0.826144 0.851625 0.792426 \n", " 27 0.948579 0.900359 0.871458 0.835953 0.78898 0.734885 0.67246 \n", " 28 0.962019 0.931528 0.9032 0.867077 0.82926 0.800931 0.767866 \n", " 29 0.925845 0.890327 0.865995 0.83393 0.775134 0.743473 0.706437 \n", " 30 0.971635 0.93161 0.893905 0.845441 0.804871 0.788134 0.757144 \n", " 31 0.979046 0.929449 0.887549 0.854095 0.873737 0.909506 0.892185 \n", " 32 1.02191 1.00169 0.960958 0.908077 0.873792 0.849146 0.804419 \n", " 33 1.057 0.964718 0.903027 0.864889 0.844227 0.827451 0.807946 \n", " 34 0.948644 0.895625 0.842316 0.806886 0.768958 0.731927 0.697708 \n", " 35 0.93497 0.874314 0.833173 0.796545 0.762642 0.774766 0.711238 \n", " 36 0.944656 0.873588 0.832009 0.788839 0.774273 0.763612 0.748946 \n", " 37 0.950509 0.891333 0.860965 0.834279 0.802993 0.776655 0.810143 \n", " 38 0.94755 0.883891 0.909044 0.905504 0.867159 0.820455 0.771704 \n", " 39 0.921453 0.853744 0.837364 0.79717 0.78014 0.749525 0.701313 \n", " 40 0.951345 0.897371 0.850566 0.809246 0.759879 0.717976 0.642518 \n", " 41 0.964755 0.885781 0.843807 0.821014 0.783685 0.75511 0.852321 \n", " 42 0.9425 0.869518 0.846122 0.817924 0.78119 0.757909 0.716215 \n", " 43 0.956857 0.883637 0.82723 0.78127 0.745447 0.723532 0.676981 \n", " 44 0.937456 0.865174 0.845875 0.827923 0.808792 0.783932 0.742079 \n", " 45 0.98599 0.923731 0.890507 0.852512 0.767122 0.720355 0.672501 \n", " 46 0.904242 0.814612 0.765911 0.763494 0.831811 0.783251 0.702647 \n", " 47 0.844179 0.753271 0.696508 0.66933 0.643802 0.613279 0.583951 \n", " 48 0.943236 0.815877 0.755675 0.716309 0.675602 0.64497 0.628273 \n", " 49 0.927875 0.900667 0.87566 0.846206 0.812626 0.784934 0.762803 \n", " 50 0.917055 0.804965 0.690959 0.641261 0.613588 0.575533 0.53929 \n", " 51 0.949613 0.870382 0.763988 0.695136 0.678258 0.684395 0.650216 \n", " 52 0.877613 0.716519 0.653819 0.618645 0.560149 0.530084 0.4952 \n", " 53 0.613701 0.462185 0.379652 0.318408 0.273966 0.237413 0.224614 \n", " 54 0.92843 0.639633 0.520214 0.432304 0.365364 0.326341 0.302043 \n", " \n", " 7 8 9 10 11 \n", " 0 2.11332 0.845891 0.797118 0.785857 0.805333 \n", " 1 0.997804 0.852201 0.833587 0.823416 0.89669 \n", " 2 0.814029 0.8201 0.795319 0.735265 0.711833 \n", " 3 0.702298 0.727188 0.71092 0.675414 0.66723 \n", " 4 0.744439 0.759725 0.747148 0.716375 0.720232 \n", " 5 0.84446 0.886487 0.865739 0.834364 0.850025 \n", " 6 0.854688 0.895195 0.890922 0.868639 0.911824 \n", " 7 0.82285 0.82436 0.790594 0.770715 0.77395 \n", " 8 0.800609 0.846281 0.843822 0.830035 0.862499 \n", " 9 0.886263 0.925677 0.870045 0.813896 0.833729 \n", " 10 0.836136 0.881722 0.848053 0.843623 0.847373 \n", " 11 0.873422 0.885793 0.866057 0.859059 0.937059 \n", " 12 0.915882 0.842418 0.816622 0.793263 0.800093 \n", " 13 0.82404 0.858642 0.860682 0.861569 0.913828 \n", " 14 0.838815 0.855724 0.838511 0.832081 0.844174 \n", " 15 0.76839 0.793988 0.770905 0.74233 0.746632 \n", " 16 0.7623 0.821017 0.787222 0.765686 0.767404 \n", " 17 0.769076 0.781637 0.76292 0.744871 0.763908 \n", " 18 0.704611 0.736037 0.739103 0.707551 0.698447 \n", " 19 0.761184 0.811241 0.810282 0.774996 0.799923 \n", " 20 0.812411 0.834204 0.812 0.789029 0.828712 \n", " 21 0.770148 0.772236 0.715927 0.690854 0.673685 \n", " 22 0.723824 0.714575 0.689998 0.659436 0.667608 \n", " 23 0.776859 0.807115 0.799803 0.774081 0.884534 \n", " 24 1.15446 0.763897 0.77267 0.757863 0.779417 \n", " 25 0.675964 0.69539 0.676189 0.646123 0.637425 \n", " 26 0.741155 0.736827 0.720684 0.726315 0.728387 \n", " 27 0.623219 0.640109 0.608983 0.583552 0.573441 \n", " 28 0.717273 0.735493 0.705367 0.671345 0.663092 \n", " 29 0.655498 0.6654 0.637961 0.622005 0.606209 \n", " 30 0.751933 0.726268 0.713824 0.677345 0.681901 \n", " 31 0.86018 0.809859 0.794644 0.768861 0.80374 \n", " 32 0.759058 0.763566 0.751788 0.719509 0.73897 \n", " 33 0.757292 0.778662 0.755117 0.707177 0.702403 \n", " 34 0.641134 0.641388 0.608169 0.564781 0.549695 \n", " 35 0.651551 0.670337 0.641636 0.613359 0.60532 \n", " 36 0.767791 0.664122 0.636511 0.608985 0.594511 \n", " 37 0.984961 0.647927 0.630293 0.594902 0.582237 \n", " 38 0.739391 0.705709 0.6733 0.633839 0.621222 \n", " 39 0.643409 0.646211 0.628429 0.612706 0.59788 \n", " 40 0.607106 0.658065 0.627577 0.601368 0.611653 \n", " 41 0.766431 0.766272 0.731949 0.713254 0.690115 \n", " 42 0.660272 0.662801 0.639004 0.590018 0.577692 \n", " 43 0.623737 0.619381 0.600166 0.580382 0.580778 \n", " 44 0.676269 0.699147 0.711014 0.677528 0.672237 \n", " 45 0.620233 0.626482 0.5936 0.550352 0.531238 \n", " 46 0.645318 0.635903 0.596544 0.533355 0.620888 \n", " 47 0.551931 0.547755 0.520549 0.484436 0.452699 \n", " 48 0.778655 0.57365 0.529462 0.49472 0.482152 \n", " 49 0.734168 0.690909 0.66963 0.655344 0.652042 \n", " 50 0.524599 0.519957 0.489264 0.459496 0.456292 \n", " 51 0.591742 0.570303 0.529893 0.484687 0.446574 \n", " 52 0.465609 0.458751 0.433145 0.401736 0.377487 \n", " 53 0.210892 0.208725 0.193038 0.173223 0.164543 \n", " 54 0.288165 0.28342 0.266093 0.240821 0.226426 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.93779 0.897676 0.869249 0.858851 0.858221 0.856515 0.921538 \n", " 1 1.00725 0.956806 0.924564 0.931357 0.885088 0.854383 0.88084 \n", " 2 0.915005 0.857572 0.799167 0.754806 0.741025 0.752608 0.761617 \n", " 3 0.985798 0.94981 0.918909 0.890795 0.873624 0.853539 0.831674 \n", " 4 0.985507 0.974706 0.960725 0.935739 0.914352 0.873488 0.856371 \n", " 5 0.99592 0.997807 1.00443 1.00819 0.958849 0.917431 0.911491 \n", " 6 1.01036 1.10402 1.03795 1.0082 0.973483 0.95828 0.95615 \n", " 7 0.969425 0.956138 0.910723 0.917589 0.907666 0.906323 0.921929 \n", " 8 1.00933 1.00467 0.997853 0.989729 0.958557 0.921263 0.91089 \n", " 9 0.968543 0.945748 0.920436 0.909157 0.876057 0.874219 0.873002 \n", " 10 0.977729 0.950099 0.920155 0.899476 0.889154 0.871347 0.873679 \n", " 11 0.952751 0.921866 0.871699 0.860028 0.858356 0.927441 0.945259 \n", " 12 0.976777 0.961442 0.92773 0.908914 0.882839 0.867502 0.872779 \n", " 13 0.970818 0.943183 0.920724 0.923702 0.896912 0.875472 0.889092 \n", " 14 0.979584 0.959173 0.943636 0.950103 0.925247 0.890494 0.889918 \n", " 15 0.970551 0.941365 0.900658 0.859724 0.840487 0.835171 0.825708 \n", " 16 0.976198 0.941283 0.92072 0.923981 0.885546 0.862318 0.844665 \n", " 17 0.991495 0.982965 0.926742 0.928288 0.904845 0.884705 0.855993 \n", " 18 0.997782 0.972274 0.962385 0.96006 0.918689 0.855981 0.835836 \n", " 19 0.984355 0.998012 0.99348 0.983923 0.940253 0.887002 0.857491 \n", " 20 0.968875 0.96263 0.92407 0.902492 0.88227 0.868478 0.861955 \n", " 21 0.972719 0.947513 0.929832 0.896474 0.853794 0.811625 0.80722 \n", " 22 1.00646 0.971177 0.913468 0.863074 0.832227 0.802598 0.771889 \n", " 23 0.914373 0.886021 0.834528 0.804396 0.791231 0.839384 0.834569 \n", " 24 1.01386 1.01365 1.00386 0.959028 0.935305 0.921634 0.942993 \n", " 25 0.977096 0.950639 0.926553 0.872681 0.85015 0.825254 0.806152 \n", " 26 0.985708 0.915423 0.885656 0.871987 0.842261 0.814337 0.839454 \n", " 27 0.992732 0.941685 0.893815 0.865124 0.829877 0.783246 0.729544 \n", " 28 0.98167 0.944385 0.914453 0.886644 0.851184 0.81406 0.78625 \n", " 29 0.992552 0.91895 0.883696 0.859545 0.827719 0.769361 0.737936 \n", " 30 0.97219 0.944614 0.905702 0.869046 0.82193 0.782488 0.766216 \n", " 31 0.958403 0.938321 0.890787 0.850629 0.818567 0.837392 0.871673 \n", " 32 0.970403 0.991665 0.972038 0.932516 0.881201 0.84793 0.824014 \n", " 33 0.972131 1.02754 0.937833 0.87786 0.840785 0.820699 0.804391 \n", " 34 0.951961 0.903072 0.8526 0.801852 0.768124 0.732018 0.696766 \n", " 35 0.970398 0.907293 0.848433 0.808509 0.772966 0.740066 0.751831 \n", " 36 0.923255 0.872158 0.806544 0.768157 0.728299 0.714851 0.705008 \n", " 37 0.937472 0.891076 0.8356 0.80713 0.782113 0.752784 0.728092 \n", " 38 0.909437 0.861736 0.803842 0.826718 0.823498 0.788626 0.746152 \n", " 39 0.912893 0.841189 0.779377 0.764424 0.727731 0.712185 0.684237 \n", " 40 1.0012 0.952482 0.898444 0.851583 0.810214 0.760788 0.718835 \n", " 41 0.965481 0.931453 0.855205 0.814679 0.792673 0.756633 0.729045 \n", " 42 0.946726 0.892289 0.823196 0.801046 0.77435 0.739574 0.717532 \n", " 43 0.976266 0.934148 0.862665 0.807597 0.762728 0.727755 0.70636 \n", " 44 0.995609 0.933339 0.861375 0.842161 0.824288 0.805241 0.78049 \n", " 45 0.970877 0.957274 0.896829 0.864572 0.827683 0.74478 0.699376 \n", " 46 0.858285 0.776097 0.699169 0.65737 0.655295 0.713931 0.672252 \n", " 47 0.926305 0.781967 0.697758 0.645179 0.620003 0.596356 0.568083 \n", " 48 0.998922 0.942219 0.814997 0.754861 0.715537 0.674874 0.644274 \n", " 49 0.916377 0.850284 0.825351 0.802435 0.775444 0.744672 0.719295 \n", " 50 0.845951 0.775783 0.68096 0.584517 0.542475 0.519065 0.486873 \n", " 51 0.888686 0.843908 0.773496 0.678946 0.617758 0.602758 0.608212 \n", " 52 0.852827 0.748452 0.611067 0.557595 0.527597 0.47771 0.45207 \n", " 53 1.48949 0.914103 0.688422 0.56549 0.474267 0.408071 0.353626 \n", " \n", " 7 8 9 10 11 \n", " 0 1.34508 1.98185 0.793268 0.747529 0.736968 \n", " 1 0.942868 1.00504 0.858382 0.839632 0.829388 \n", " 2 0.75723 0.74484 0.750396 0.727721 0.672771 \n", " 3 0.803616 0.692324 0.716861 0.700824 0.665822 \n", " 4 0.82932 0.73365 0.748714 0.736319 0.705992 \n", " 5 0.899657 0.841015 0.882869 0.862207 0.830959 \n", " 6 0.928182 0.863539 0.904466 0.900148 0.877634 \n", " 7 0.885747 0.797691 0.799155 0.766421 0.747151 \n", " 8 0.862839 0.808077 0.854175 0.851693 0.837778 \n", " 9 0.859037 0.858384 0.896558 0.842675 0.788292 \n", " 10 0.845874 0.817515 0.862085 0.829166 0.824835 \n", " 11 0.884477 0.832154 0.84394 0.825136 0.818469 \n", " 12 0.883915 0.894613 0.822854 0.797658 0.774841 \n", " 13 0.871579 0.799993 0.833585 0.835566 0.836426 \n", " 14 0.861738 0.821689 0.838253 0.821392 0.815093 \n", " 15 0.788192 0.745761 0.770605 0.748202 0.720469 \n", " 16 0.789458 0.744156 0.801475 0.768484 0.747461 \n", " 17 0.82052 0.762535 0.77499 0.756432 0.738536 \n", " 18 0.78071 0.703047 0.734404 0.737463 0.705981 \n", " 19 0.816111 0.749275 0.79855 0.797605 0.762871 \n", " 20 0.833807 0.787125 0.80824 0.786727 0.764471 \n", " 21 0.771886 0.749138 0.751168 0.696395 0.672006 \n", " 22 0.744735 0.7285 0.719191 0.694455 0.663696 \n", " 23 0.76913 0.710339 0.738004 0.731318 0.707799 \n", " 24 0.995815 1.17046 0.774482 0.783377 0.768364 \n", " 25 0.738358 0.660482 0.679463 0.660701 0.631324 \n", " 26 0.7811 0.730562 0.726296 0.710384 0.715934 \n", " 27 0.667572 0.618689 0.635457 0.604557 0.57931 \n", " 28 0.753791 0.704125 0.722011 0.692437 0.65904 \n", " 29 0.701176 0.650616 0.660444 0.63321 0.617372 \n", " 30 0.736088 0.731022 0.70607 0.693973 0.658508 \n", " 31 0.855073 0.824398 0.776171 0.761589 0.736879 \n", " 32 0.780611 0.736592 0.740967 0.729537 0.698214 \n", " 33 0.78543 0.736187 0.756961 0.734073 0.687469 \n", " 34 0.66419 0.610335 0.610576 0.578953 0.537649 \n", " 35 0.690184 0.632264 0.650494 0.622642 0.595202 \n", " 36 0.691468 0.708866 0.613154 0.587662 0.562249 \n", " 37 0.759486 0.923373 0.607413 0.590882 0.557704 \n", " 38 0.701816 0.67243 0.641798 0.612324 0.576436 \n", " 39 0.640224 0.587363 0.589922 0.573689 0.559335 \n", " 40 0.643286 0.607832 0.658852 0.628328 0.602087 \n", " 41 0.8229 0.739974 0.739821 0.706683 0.688633 \n", " 42 0.67806 0.625097 0.627491 0.604962 0.558586 \n", " 43 0.660914 0.608933 0.604681 0.585922 0.566607 \n", " 44 0.73882 0.673299 0.696077 0.707892 0.674553 \n", " 45 0.652916 0.60217 0.608237 0.576312 0.534323 \n", " 46 0.603071 0.553866 0.545786 0.512004 0.45777 \n", " 47 0.540916 0.511256 0.507388 0.482187 0.448735 \n", " 48 0.627596 0.777815 0.573031 0.528891 0.494187 \n", " 49 0.699015 0.672775 0.633133 0.613634 0.600543 \n", " 50 0.456213 0.443785 0.439858 0.413894 0.388711 \n", " 51 0.577838 0.525873 0.50682 0.470908 0.430735 \n", " 52 0.42232 0.397084 0.391235 0.369398 0.342611 \n", " 53 0.334562 0.314122 0.310895 0.28753 0.258015 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.995805 0.933855 0.89391 0.865602 0.855248 0.85462 0.852922 \n", " 1 0.979296 0.986398 0.936996 0.905422 0.912074 0.866763 0.836693 \n", " 2 0.937463 0.857784 0.803942 0.749189 0.707603 0.694684 0.705542 \n", " 3 0.982939 0.968979 0.933605 0.903231 0.875597 0.858719 0.838977 \n", " 4 0.987483 0.973172 0.962506 0.9487 0.924027 0.902907 0.862555 \n", " 5 0.997628 0.993557 0.99544 1.00204 1.0058 0.956575 0.915255 \n", " 6 0.997777 1.00811 1.10157 1.03564 1.00596 0.971318 0.956149 \n", " 7 0.983322 0.953257 0.940191 0.895534 0.902286 0.892528 0.891207 \n", " 8 1.00322 1.01257 1.0079 1.00106 0.992913 0.96164 0.924226 \n", " 9 0.944579 0.914865 0.893333 0.869424 0.858771 0.827505 0.825769 \n", " 10 1.00103 0.978737 0.951079 0.921104 0.900403 0.890071 0.872246 \n", " 11 0.937237 0.892953 0.864006 0.816989 0.80605 0.804483 0.869231 \n", " 12 0.994903 0.971798 0.956541 0.923001 0.904281 0.878339 0.86308 \n", " 13 0.998914 0.969764 0.942159 0.919724 0.922699 0.895938 0.874521 \n", " 14 0.985284 0.965168 0.945058 0.929749 0.936121 0.911631 0.877389 \n", " 15 0.993406 0.964151 0.935158 0.894719 0.854055 0.834945 0.829664 \n", " 16 0.969513 0.946437 0.912586 0.89265 0.895812 0.858549 0.836028 \n", " 17 0.991816 0.98338 0.97492 0.919157 0.920691 0.897439 0.877464 \n", " 18 0.982334 0.980155 0.955098 0.945384 0.9431 0.902459 0.840859 \n", " 19 0.974144 0.958904 0.972208 0.967793 0.958482 0.915942 0.864068 \n", " 20 0.998657 0.967574 0.961337 0.922828 0.90128 0.881084 0.867311 \n", " 21 0.962645 0.936383 0.912119 0.895098 0.862986 0.821901 0.781307 \n", " 22 0.979419 0.985746 0.95119 0.894668 0.845311 0.815099 0.78608 \n", " 23 0.962995 0.880536 0.853233 0.803647 0.774629 0.761951 0.808323 \n", " 24 0.991409 1.00515 1.00494 0.995231 0.950789 0.92727 0.913716 \n", " 25 0.953269 0.931435 0.906215 0.883254 0.8319 0.810422 0.786689 \n", " 26 0.971776 0.957887 0.889586 0.860659 0.847376 0.818489 0.791353 \n", " 27 0.966088 0.959066 0.90975 0.863504 0.835785 0.801734 0.756684 \n", " 28 0.973855 0.956005 0.919695 0.890545 0.863463 0.828929 0.792777 \n", " 29 0.979939 0.97264 0.900515 0.865968 0.842302 0.811114 0.753926 \n", " 30 0.958083 0.931439 0.905018 0.867737 0.832618 0.787477 0.749688 \n", " 31 0.94548 0.906151 0.887163 0.842221 0.804253 0.773939 0.791738 \n", " 32 0.960519 0.93209 0.952513 0.933661 0.895699 0.84641 0.814453 \n", " 33 0.944658 0.918332 0.970673 0.885931 0.829278 0.794255 0.77528 \n", " 34 0.948519 0.902953 0.856581 0.808707 0.760572 0.728581 0.694333 \n", " 35 0.943385 0.915459 0.855927 0.800399 0.762735 0.729205 0.698167 \n", " 36 0.92542 0.854399 0.807113 0.746392 0.710868 0.673983 0.661538 \n", " 37 0.940422 0.88162 0.837988 0.785816 0.759043 0.735517 0.707934 \n", " 38 0.944612 0.859064 0.814006 0.759319 0.780927 0.777886 0.744946 \n", " 39 0.905099 0.826259 0.761359 0.705414 0.691879 0.658669 0.644598 \n", " 40 0.912515 0.913606 0.869154 0.819843 0.777082 0.739332 0.69423 \n", " 41 0.966514 0.933151 0.900262 0.826568 0.787399 0.76613 0.731297 \n", " 42 0.920488 0.871451 0.821342 0.757742 0.737354 0.71278 0.680769 \n", " 43 0.932598 0.910464 0.871184 0.80452 0.753164 0.711319 0.678703 \n", " 44 0.934233 0.93013 0.871956 0.804725 0.786774 0.770076 0.752282 \n", " 45 0.925509 0.898555 0.885966 0.830023 0.800169 0.766028 0.689301 \n", " 46 0.838938 0.720047 0.651097 0.586559 0.551492 0.549752 0.598943 \n", " 47 0.89727 0.831145 0.701635 0.626077 0.578899 0.55631 0.535092 \n", " 48 0.853903 0.852982 0.804564 0.695929 0.644578 0.610999 0.576277 \n", " 49 0.878353 0.804903 0.746849 0.724949 0.704821 0.681113 0.654085 \n", " 50 0.778441 0.658523 0.603901 0.530087 0.455012 0.422285 0.404061 \n", " 51 0.74059 0.658153 0.62499 0.572844 0.502821 0.457505 0.446397 \n", " 52 1.57876 1.34641 1.18163 0.964727 0.880307 0.832948 0.754189 \n", " \n", " 7 8 9 10 11 \n", " 0 0.917672 1.33943 1.97353 0.78994 0.744393 \n", " 1 0.862603 0.923347 0.984232 0.84061 0.822248 \n", " 2 0.713988 0.709875 0.698261 0.703469 0.682212 \n", " 3 0.817485 0.789906 0.680511 0.70463 0.688867 \n", " 4 0.845652 0.818939 0.724467 0.739343 0.727103 \n", " 5 0.909329 0.897523 0.83902 0.880775 0.860162 \n", " 6 0.954024 0.926118 0.861619 0.902455 0.898147 \n", " 7 0.906553 0.870975 0.784388 0.785827 0.753639 \n", " 8 0.913819 0.865614 0.810676 0.856922 0.854433 \n", " 9 0.824619 0.811428 0.810811 0.84687 0.795973 \n", " 10 0.87458 0.846747 0.818358 0.862974 0.830021 \n", " 11 0.885932 0.828964 0.779925 0.790971 0.773348 \n", " 12 0.86833 0.879409 0.890053 0.81866 0.793592 \n", " 13 0.888127 0.870633 0.799124 0.83268 0.834658 \n", " 14 0.876822 0.849057 0.809597 0.825917 0.809304 \n", " 15 0.820263 0.782995 0.740844 0.765524 0.743269 \n", " 16 0.818914 0.76539 0.721468 0.77704 0.745055 \n", " 17 0.848987 0.813805 0.756295 0.768647 0.750241 \n", " 18 0.82107 0.766918 0.690628 0.721431 0.724435 \n", " 19 0.83532 0.79501 0.729902 0.777902 0.776982 \n", " 20 0.860797 0.832687 0.786068 0.807154 0.78567 \n", " 21 0.777067 0.743052 0.721154 0.723108 0.670381 \n", " 22 0.756003 0.729408 0.713507 0.704389 0.680163 \n", " 23 0.803685 0.740668 0.684053 0.710694 0.704256 \n", " 24 0.934892 0.98726 1.16041 0.767829 0.776647 \n", " 25 0.76848 0.703854 0.629617 0.647711 0.629826 \n", " 26 0.815761 0.759054 0.709942 0.705797 0.690334 \n", " 27 0.704803 0.644933 0.597708 0.613907 0.584055 \n", " 28 0.765694 0.734083 0.685716 0.703134 0.674334 \n", " 29 0.723132 0.68711 0.637564 0.647195 0.620507 \n", " 30 0.734099 0.705233 0.70038 0.676474 0.664883 \n", " 31 0.82415 0.808454 0.779452 0.733854 0.720067 \n", " 32 0.79148 0.749791 0.70751 0.711712 0.700734 \n", " 33 0.759874 0.741963 0.695445 0.715069 0.693448 \n", " 34 0.660896 0.629997 0.578914 0.579144 0.549148 \n", " 35 0.709266 0.651109 0.596469 0.613666 0.587391 \n", " 36 0.652429 0.639899 0.655999 0.567425 0.543834 \n", " 37 0.684714 0.714238 0.868361 0.571225 0.555678 \n", " 38 0.704824 0.662944 0.635185 0.60625 0.578408 \n", " 39 0.619302 0.579466 0.531622 0.533938 0.519245 \n", " 40 0.655948 0.587008 0.554656 0.601212 0.573358 \n", " 41 0.704632 0.795344 0.715195 0.715047 0.683019 \n", " 42 0.66048 0.624146 0.575394 0.577598 0.55686 \n", " 43 0.65875 0.616367 0.56789 0.563924 0.54643 \n", " 44 0.729159 0.69023 0.629018 0.650297 0.661336 \n", " 45 0.647279 0.604279 0.557314 0.562929 0.533382 \n", " 46 0.563978 0.505939 0.464659 0.45788 0.42954 \n", " 47 0.509724 0.485348 0.458735 0.455263 0.432652 \n", " 48 0.550148 0.535906 0.664179 0.489313 0.451622 \n", " 49 0.631795 0.613982 0.590934 0.556114 0.538987 \n", " 50 0.379002 0.355135 0.34546 0.342403 0.322192 \n", " 51 0.450436 0.427941 0.389456 0.375346 0.34875 \n", " 52 0.71371 0.666741 0.6269 0.617666 0.58319 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.922551 0.91868 0.861529 0.824678 0.798562 0.78901 0.788431 \n", " 1 1.03357 1.01217 1.01951 0.968449 0.935815 0.94269 0.895858 \n", " 2 1.09264 1.02431 0.937252 0.878423 0.818597 0.773158 0.759042 \n", " 3 0.986324 0.969496 0.955727 0.920837 0.890879 0.863622 0.846975 \n", " 4 0.992112 0.979694 0.965495 0.954914 0.941217 0.916738 0.895785 \n", " 5 0.969288 0.966989 0.963043 0.964868 0.97127 0.974905 0.927196 \n", " 6 0.963297 0.961156 0.971109 1.06114 0.997633 0.969039 0.935668 \n", " 7 1.0089 0.992075 0.961743 0.94856 0.903506 0.910317 0.900473 \n", " 8 0.990257 0.993442 1.00271 0.998083 0.991309 0.983238 0.95227 \n", " 9 0.975386 0.921329 0.892346 0.871345 0.848024 0.837633 0.807137 \n", " 10 0.961371 0.962362 0.94093 0.91434 0.885522 0.865622 0.855689 \n", " 11 0.965889 0.905266 0.862493 0.834534 0.78912 0.778554 0.777041 \n", " 12 0.958802 0.953915 0.931762 0.917134 0.884976 0.867027 0.842153 \n", " 13 0.989431 0.988357 0.959514 0.932201 0.910003 0.912947 0.886469 \n", " 14 0.981429 0.966986 0.947244 0.927507 0.912482 0.918736 0.894701 \n", " 15 0.987706 0.981193 0.952298 0.923661 0.883719 0.843555 0.82468 \n", " 16 0.946301 0.917451 0.895614 0.863581 0.844716 0.847708 0.812445 \n", " 17 0.954175 0.946365 0.938317 0.930244 0.877037 0.8785 0.856314 \n", " 18 0.942032 0.925391 0.923338 0.899733 0.890582 0.888431 0.850146 \n", " 19 0.952949 0.928309 0.913786 0.926464 0.922257 0.913384 0.872845 \n", " 20 0.962048 0.960756 0.930853 0.924852 0.887806 0.867075 0.847646 \n", " 21 0.943095 0.907866 0.883098 0.860215 0.844163 0.813878 0.77513 \n", " 22 0.969652 0.949696 0.955831 0.922323 0.867517 0.819658 0.790363 \n", " 23 0.992367 0.955644 0.873815 0.84672 0.797512 0.768716 0.756135 \n", " 24 0.956663 0.948444 0.961587 0.961387 0.9521 0.909585 0.887084 \n", " 25 0.968359 0.923107 0.901964 0.877541 0.855307 0.805578 0.78478 \n", " 26 0.970115 0.942734 0.92926 0.863001 0.834938 0.822052 0.794028 \n", " 27 0.97542 0.942341 0.935492 0.887388 0.842279 0.815242 0.782027 \n", " 28 0.964159 0.938952 0.921741 0.886732 0.858627 0.832516 0.79922 \n", " 29 0.96906 0.94962 0.942547 0.872653 0.839175 0.816241 0.786019 \n", " 30 0.943875 0.90431 0.879161 0.854224 0.819036 0.785887 0.743279 \n", " 31 0.946427 0.894827 0.857605 0.839635 0.7971 0.761166 0.732477 \n", " 32 0.969823 0.931533 0.903963 0.923769 0.905486 0.86867 0.820868 \n", " 33 0.933837 0.882156 0.857572 0.90645 0.827315 0.77441 0.741704 \n", " 34 0.96843 0.918574 0.874447 0.829539 0.783176 0.736561 0.705579 \n", " 35 0.94469 0.891207 0.864825 0.808586 0.756129 0.720549 0.688872 \n", " 36 0.954529 0.883341 0.815549 0.770413 0.712453 0.678544 0.643336 \n", " 37 0.934368 0.8787 0.823757 0.782989 0.734242 0.709226 0.687243 \n", " 38 0.896719 0.847052 0.77034 0.729935 0.680896 0.700273 0.697546 \n", " 39 0.919454 0.832196 0.759707 0.700034 0.648595 0.636151 0.605616 \n", " 40 0.895342 0.817013 0.81799 0.778191 0.73404 0.695754 0.661955 \n", " 41 0.943376 0.911786 0.880312 0.849286 0.779764 0.742813 0.722748 \n", " 42 0.900212 0.828634 0.78449 0.739382 0.682128 0.663774 0.641653 \n", " 43 0.943453 0.879863 0.85898 0.821922 0.759027 0.710575 0.671096 \n", " 44 0.922329 0.86167 0.857886 0.80423 0.742221 0.725665 0.710264 \n", " 45 0.87515 0.809959 0.786371 0.775353 0.726395 0.700269 0.67039 \n", " 46 0.857069 0.719027 0.61713 0.558035 0.502721 0.472667 0.471175 \n", " 47 0.880857 0.790367 0.73212 0.61804 0.551485 0.509928 0.49003 \n", " 48 0.866156 0.739614 0.738816 0.696878 0.602783 0.558305 0.529221 \n", " 49 0.921036 0.808995 0.741344 0.687875 0.667704 0.649166 0.62733 \n", " 50 0.839941 0.653845 0.553121 0.507242 0.445242 0.382183 0.354695 \n", " 51 1.08458 0.803232 0.713822 0.677855 0.621297 0.545352 0.496203 \n", " \n", " 7 8 9 10 11 \n", " 0 0.786864 0.846599 1.23569 1.82069 0.72876 \n", " 1 0.864779 0.891558 0.954342 1.01727 0.868827 \n", " 2 0.770907 0.780134 0.775641 0.76295 0.768641 \n", " 3 0.827503 0.806305 0.779103 0.671205 0.694994 \n", " 4 0.855751 0.838982 0.81248 0.718753 0.733511 \n", " 5 0.887146 0.881401 0.869958 0.813252 0.853725 \n", " 6 0.921056 0.919008 0.892127 0.829995 0.869332 \n", " 7 0.89914 0.914622 0.878728 0.79137 0.792822 \n", " 8 0.915221 0.904916 0.85718 0.802777 0.848573 \n", " 9 0.805443 0.804322 0.791456 0.790854 0.826025 \n", " 10 0.838552 0.840796 0.814038 0.786745 0.829638 \n", " 11 0.839581 0.855711 0.800687 0.753321 0.76399 \n", " 12 0.827523 0.832557 0.84318 0.853385 0.784933 \n", " 13 0.865279 0.87874 0.861431 0.790678 0.82388 \n", " 14 0.861095 0.860538 0.833288 0.794562 0.810579 \n", " 15 0.819464 0.810179 0.773368 0.731736 0.756113 \n", " 16 0.791134 0.774939 0.724289 0.682726 0.735314 \n", " 17 0.837254 0.810082 0.776512 0.721637 0.733423 \n", " 18 0.792117 0.773475 0.722462 0.650594 0.679611 \n", " 19 0.823412 0.796017 0.757604 0.695559 0.741301 \n", " 20 0.834395 0.828128 0.801085 0.756235 0.776521 \n", " 21 0.736847 0.732848 0.700769 0.680116 0.68196 \n", " 22 0.762224 0.73306 0.707272 0.691853 0.683013 \n", " 23 0.802152 0.797551 0.735014 0.678831 0.705269 \n", " 24 0.874118 0.894376 0.944475 1.11012 0.734553 \n", " 25 0.761797 0.744164 0.681583 0.609695 0.627216 \n", " 26 0.767703 0.791382 0.73637 0.688725 0.684704 \n", " 27 0.738085 0.68748 0.629081 0.583017 0.598817 \n", " 28 0.764363 0.738251 0.707774 0.66114 0.677934 \n", " 29 0.7306 0.700759 0.665851 0.617838 0.627171 \n", " 30 0.707612 0.692897 0.665652 0.661071 0.638506 \n", " 31 0.749322 0.779997 0.765142 0.737694 0.694539 \n", " 32 0.789876 0.767596 0.727165 0.68616 0.690235 \n", " 33 0.723985 0.709598 0.692872 0.649432 0.667758 \n", " 34 0.672413 0.640031 0.610108 0.560638 0.56086 \n", " 35 0.659552 0.670037 0.615096 0.563478 0.579725 \n", " 36 0.631458 0.622763 0.610802 0.626171 0.541624 \n", " 37 0.661471 0.639775 0.667361 0.811368 0.533734 \n", " 38 0.668007 0.632029 0.594475 0.569583 0.543636 \n", " 39 0.592678 0.569419 0.532792 0.488802 0.490931 \n", " 40 0.621574 0.587298 0.525574 0.496607 0.53829 \n", " 41 0.689887 0.664732 0.750309 0.674698 0.674558 \n", " 42 0.612836 0.594572 0.561864 0.517977 0.519961 \n", " 43 0.640324 0.621499 0.581514 0.535777 0.532036 \n", " 44 0.693852 0.672525 0.636619 0.580162 0.599788 \n", " 45 0.603242 0.566466 0.528835 0.487733 0.492647 \n", " 46 0.513336 0.483368 0.433624 0.398245 0.392435 \n", " 47 0.47134 0.448994 0.427522 0.40408 0.401022 \n", " 48 0.499146 0.476514 0.464178 0.575283 0.423822 \n", " 49 0.602435 0.581906 0.5655 0.544271 0.512201 \n", " 50 0.339388 0.318339 0.298293 0.290166 0.287599 \n", " 51 0.484155 0.488536 0.464138 0.422398 0.407095 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.472287 0.435709 0.433881 0.406889 0.389485 0.37715 0.372639 \n", " 1 0.898731 0.9289 0.909668 0.916265 0.870376 0.841046 0.847225 \n", " 2 1.13749 1.24288 1.16515 1.06612 0.9992 0.931149 0.879463 \n", " 3 1.08361 1.0688 1.05056 1.03564 0.997833 0.965369 0.935834 \n", " 4 1.07916 1.07065 1.05724 1.04192 1.0305 1.01572 0.989305 \n", " 5 1.03328 1.00154 0.999168 0.995092 0.996977 1.00359 1.00735 \n", " 6 1.04188 1.00364 1.0014 1.01178 1.10557 1.03941 1.00962 \n", " 7 1.07435 1.08391 1.06583 1.03325 1.01908 0.970679 0.977997 \n", " 8 1.05111 1.04086 1.04421 1.05395 1.04909 1.04197 1.03349 \n", " 9 1.11081 1.08347 1.02342 0.991228 0.967899 0.941994 0.930451 \n", " 10 1.08184 1.04005 1.04112 1.01793 0.989166 0.957991 0.936462 \n", " 11 1.06308 1.02682 0.96237 0.916899 0.887176 0.838898 0.827665 \n", " 12 0.931484 0.893109 0.888556 0.867922 0.854295 0.824341 0.807622 \n", " 13 1.05533 1.04418 1.04305 1.01261 0.983784 0.960358 0.963465 \n", " 14 1.04437 1.02498 1.00989 0.989274 0.968662 0.952971 0.959501 \n", " 15 1.07462 1.06141 1.05441 1.02336 0.992588 0.949665 0.906504 \n", " 16 1.08113 1.02308 0.991886 0.968277 0.933645 0.913249 0.916484 \n", " 17 1.02348 0.976574 0.968582 0.960344 0.952082 0.897625 0.899123 \n", " 18 1.07534 1.013 0.995108 0.9929 0.967517 0.957677 0.955363 \n", " 19 1.07302 1.02253 0.996092 0.980508 0.994112 0.989597 0.980077 \n", " 20 1.03027 0.991173 0.989842 0.959033 0.952851 0.914683 0.893324 \n", " 21 1.02411 0.965832 0.929754 0.904389 0.880954 0.864515 0.8335 \n", " 22 1.02594 0.9948 0.974327 0.980621 0.946244 0.890016 0.840916 \n", " 23 1.04569 1.03771 0.999309 0.913741 0.885408 0.833951 0.80384 \n", " 24 0.689004 0.659144 0.653482 0.662537 0.6624 0.656001 0.626707 \n", " 25 1.03245 0.999781 0.95306 0.931231 0.906016 0.883061 0.831717 \n", " 26 1.01497 0.984638 0.956848 0.943172 0.875921 0.847438 0.834358 \n", " 27 1.03047 1.00514 0.971057 0.963999 0.914429 0.867946 0.840084 \n", " 28 1.05909 1.02113 0.99443 0.976202 0.939125 0.909359 0.881706 \n", " 29 1.05695 1.02425 1.0037 0.996224 0.922349 0.886965 0.862725 \n", " 30 1.00575 0.949305 0.909512 0.884219 0.859138 0.823747 0.790408 \n", " 31 1.03026 0.975064 0.921904 0.883555 0.865041 0.821219 0.784198 \n", " 32 1.0303 0.999207 0.959757 0.931351 0.951758 0.932921 0.894989 \n", " 33 0.999799 0.933649 0.881979 0.857399 0.906268 0.827149 0.774254 \n", " 34 1.01676 0.984661 0.93397 0.889103 0.843442 0.796302 0.748906 \n", " 35 1.04288 0.985203 0.929426 0.901913 0.843262 0.788556 0.75145 \n", " 36 0.935469 0.892932 0.826338 0.762921 0.720697 0.666478 0.634757 \n", " 37 0.717218 0.670146 0.63022 0.590814 0.561574 0.526612 0.50867 \n", " 38 0.94111 0.843911 0.797168 0.724974 0.686949 0.640798 0.659033 \n", " 39 1.01073 0.929319 0.841126 0.767858 0.707545 0.655554 0.642976 \n", " 40 1.10409 0.988534 0.902052 0.903131 0.859189 0.810443 0.768172 \n", " 41 1.03274 0.974261 0.941637 0.909132 0.87709 0.805292 0.767132 \n", " 42 1.01754 0.916003 0.84317 0.798251 0.752351 0.694094 0.675418 \n", " 43 1.02363 0.965743 0.90065 0.879274 0.84134 0.776959 0.727363 \n", " 44 1.06276 0.980212 0.915746 0.911725 0.854702 0.788801 0.771206 \n", " 45 0.984207 0.861329 0.797168 0.773952 0.763108 0.714923 0.689209 \n", " 46 0.958528 0.821524 0.689208 0.591536 0.534892 0.481872 0.453064 \n", " 47 1.0177 0.896453 0.80436 0.745082 0.628983 0.561249 0.518956 \n", " 48 0.898069 0.777868 0.664224 0.663508 0.625844 0.541341 0.501396 \n", " 49 0.769684 0.708907 0.62267 0.570601 0.529446 0.513921 0.499653 \n", " 50 1.49919 1.25923 0.98024 0.829235 0.760454 0.667505 0.572967 \n", " \n", " 7 8 9 10 11 \n", " 0 0.372366 0.371625 0.399838 0.583603 0.859887 \n", " 1 0.805136 0.777204 0.801272 0.857697 0.914253 \n", " 2 0.863406 0.876901 0.887398 0.882287 0.867851 \n", " 3 0.917795 0.896694 0.873724 0.844248 0.727328 \n", " 4 0.966694 0.923491 0.905394 0.876794 0.775648 \n", " 5 0.958052 0.916668 0.910733 0.898909 0.840315 \n", " 6 0.97485 0.959626 0.957493 0.929486 0.864752 \n", " 7 0.96742 0.965988 0.982622 0.944059 0.850206 \n", " 8 1.00094 0.961994 0.951162 0.900987 0.843803 \n", " 9 0.896576 0.894695 0.893449 0.879157 0.878489 \n", " 10 0.925716 0.907176 0.909604 0.880656 0.85113 \n", " 11 0.826056 0.892541 0.90969 0.851194 0.80084 \n", " 12 0.784452 0.770824 0.775513 0.785408 0.794914 \n", " 13 0.935521 0.913158 0.927364 0.909098 0.83443 \n", " 14 0.9344 0.899303 0.898722 0.870263 0.829818 \n", " 15 0.886221 0.880615 0.870637 0.83108 0.78634 \n", " 16 0.878361 0.855321 0.837811 0.783052 0.738117 \n", " 17 0.876416 0.856908 0.829099 0.794741 0.738578 \n", " 18 0.914194 0.851793 0.831747 0.77689 0.699608 \n", " 19 0.936578 0.883536 0.85414 0.812922 0.746347 \n", " 20 0.873307 0.859655 0.853199 0.825337 0.779129 \n", " 21 0.793818 0.754611 0.750516 0.717664 0.696513 \n", " 22 0.810861 0.781993 0.752072 0.725615 0.709797 \n", " 23 0.790684 0.838804 0.833992 0.768598 0.709848 \n", " 24 0.611205 0.602271 0.616229 0.650747 0.764875 \n", " 25 0.810245 0.786517 0.768311 0.7037 0.629479 \n", " 26 0.805915 0.779196 0.803229 0.747394 0.699036 \n", " 27 0.805858 0.760576 0.708429 0.648251 0.600783 \n", " 28 0.846442 0.809526 0.78187 0.749593 0.700203 \n", " 29 0.830782 0.772207 0.740666 0.70377 0.653023 \n", " 30 0.747555 0.711682 0.696883 0.669481 0.664874 \n", " 31 0.75464 0.771995 0.803599 0.788295 0.760016 \n", " 32 0.845738 0.813807 0.790853 0.749197 0.706949 \n", " 33 0.741555 0.72384 0.709456 0.692733 0.649302 \n", " 34 0.717405 0.683682 0.650758 0.620334 0.570034 \n", " 35 0.718415 0.687837 0.698771 0.641475 0.587643 \n", " 36 0.601821 0.590709 0.582575 0.571387 0.585763 \n", " 37 0.492904 0.474419 0.458858 0.478644 0.581928 \n", " 38 0.656467 0.628668 0.594809 0.559466 0.53604 \n", " 39 0.612114 0.599037 0.575529 0.538509 0.494047 \n", " 40 0.730855 0.686271 0.648427 0.580278 0.548297 \n", " 41 0.74641 0.712474 0.686495 0.774873 0.696787 \n", " 42 0.652908 0.623586 0.605002 0.571719 0.527063 \n", " 43 0.686951 0.655452 0.636183 0.595252 0.548436 \n", " 44 0.754838 0.737396 0.714731 0.676572 0.616571 \n", " 45 0.659803 0.593715 0.55752 0.520483 0.480031 \n", " 46 0.451635 0.492047 0.463321 0.415641 0.381729 \n", " 47 0.498706 0.479685 0.456943 0.435091 0.411234 \n", " 48 0.475277 0.448267 0.427942 0.416864 0.516644 \n", " 49 0.482846 0.463685 0.447884 0.435256 0.418917 \n", " 50 0.531756 0.508808 0.477252 0.447198 0.435015 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.29902 0.613511 0.565995 0.56362 0.528557 0.505948 0.489926 \n", " 1 1.07498 0.966117 0.998547 0.977873 0.984965 0.935635 0.904106 \n", " 2 0.961183 1.09334 1.19463 1.11992 1.02474 0.960415 0.895005 \n", " 3 0.930071 1.00784 0.994055 0.977095 0.963219 0.928055 0.897862 \n", " 4 0.93988 1.01428 1.00628 0.993684 0.979282 0.968549 0.954657 \n", " 5 0.925565 0.956366 0.926994 0.924795 0.921022 0.922767 0.92889 \n", " 6 0.901416 0.939163 0.904693 0.902682 0.91203 0.996582 0.93694 \n", " 7 0.923707 0.992382 1.00121 0.984517 0.954416 0.941334 0.896623 \n", " 8 0.946724 0.995107 0.985412 0.988581 0.997802 0.9932 0.986459 \n", " 9 0.947941 1.05298 1.02706 0.970143 0.939625 0.917511 0.892955 \n", " 10 0.92978 1.00587 0.967015 0.968012 0.946453 0.919707 0.890721 \n", " 11 0.938531 0.997733 0.963699 0.903214 0.860538 0.832642 0.787331 \n", " 12 0.994729 0.926574 0.888401 0.883873 0.863347 0.849793 0.819996 \n", " 13 0.921871 0.972882 0.9626 0.961555 0.933494 0.906922 0.885326 \n", " 14 0.957964 1.00047 0.981891 0.967441 0.94769 0.927943 0.912912 \n", " 15 0.923159 0.992048 0.979851 0.97339 0.944725 0.916316 0.876691 \n", " 16 0.895598 0.968259 0.916265 0.888331 0.867187 0.83617 0.817904 \n", " 17 0.946521 0.968741 0.924348 0.916783 0.908986 0.901166 0.849622 \n", " 18 0.954485 1.02639 0.966896 0.949816 0.947709 0.923481 0.914089 \n", " 19 0.929535 0.997407 0.950477 0.925902 0.911416 0.924061 0.919865 \n", " 20 0.929845 0.957994 0.921637 0.920399 0.891752 0.886003 0.850513 \n", " 21 0.911497 0.933473 0.880353 0.847468 0.824348 0.802987 0.788003 \n", " 22 0.916785 0.940562 0.912018 0.893248 0.899019 0.867502 0.815954 \n", " 23 0.935897 0.978659 0.971189 0.93525 0.855167 0.828651 0.780492 \n", " 24 1.15772 0.797671 0.763102 0.756546 0.76703 0.76687 0.759463 \n", " 25 0.918549 0.948355 0.918348 0.875433 0.855382 0.83222 0.811135 \n", " 26 0.965202 0.979652 0.950374 0.923551 0.910351 0.84544 0.817949 \n", " 27 0.927174 0.955427 0.931943 0.900339 0.893795 0.847835 0.804737 \n", " 28 0.935692 0.990978 0.95546 0.93048 0.913424 0.878732 0.85088 \n", " 29 0.94274 0.996428 0.965599 0.946228 0.93918 0.869536 0.836177 \n", " 30 0.949733 0.955197 0.901586 0.863794 0.839772 0.815952 0.78234 \n", " 31 0.957221 0.986185 0.933352 0.882465 0.845757 0.828036 0.786088 \n", " 32 0.946091 0.974756 0.945341 0.908018 0.881143 0.900449 0.882628 \n", " 33 0.951939 0.951748 0.888777 0.839591 0.816192 0.862712 0.787395 \n", " 34 0.944154 0.959978 0.929671 0.881811 0.839449 0.796339 0.751832 \n", " 35 0.963442 1.00476 0.949186 0.895448 0.868941 0.812434 0.759728 \n", " 36 1.01797 0.952279 0.908979 0.841188 0.77663 0.733648 0.678455 \n", " 37 1.13961 0.817349 0.763705 0.718205 0.673297 0.639975 0.600132 \n", " 38 0.99475 0.936169 0.839481 0.792983 0.721168 0.683342 0.637434 \n", " 39 1.04443 1.05563 0.970606 0.878495 0.801972 0.73898 0.684679 \n", " 40 0.962851 1.06307 0.951811 0.868542 0.86958 0.827271 0.780336 \n", " 41 0.921826 0.952005 0.898099 0.868025 0.838061 0.808524 0.742339 \n", " 42 0.93873 0.955197 0.859879 0.791509 0.749342 0.706255 0.651567 \n", " 43 0.936282 0.958402 0.904208 0.843262 0.823249 0.787732 0.727453 \n", " 44 0.890988 0.946904 0.873357 0.815918 0.812336 0.761529 0.702812 \n", " 45 0.840014 0.826747 0.723528 0.669632 0.65013 0.641021 0.600545 \n", " 46 0.890676 0.853738 0.731713 0.613861 0.526868 0.476416 0.429192 \n", " 47 0.798144 0.812275 0.715498 0.641995 0.594683 0.502019 0.447957 \n", " 48 0.733523 0.658754 0.570584 0.487223 0.486698 0.459071 0.397086 \n", " 49 0.99534 0.766097 0.705603 0.619768 0.567942 0.526979 0.511526 \n", " \n", " 7 8 9 10 11 \n", " 0 0.484066 0.483711 0.482749 0.519398 0.758112 \n", " 1 0.910748 0.865503 0.835478 0.861349 0.922005 \n", " 2 0.845325 0.829891 0.842863 0.852952 0.848039 \n", " 3 0.870392 0.853614 0.833989 0.812625 0.78521 \n", " 4 0.929829 0.908576 0.867971 0.850962 0.824081 \n", " 5 0.932366 0.886739 0.848436 0.842942 0.831999 \n", " 6 0.910086 0.878745 0.865022 0.863099 0.837853 \n", " 7 0.903382 0.893612 0.89229 0.907654 0.872033 \n", " 8 0.978428 0.947611 0.910744 0.900488 0.852987 \n", " 9 0.882013 0.849901 0.848118 0.846937 0.833389 \n", " 10 0.870703 0.860712 0.843474 0.845731 0.818816 \n", " 11 0.776789 0.775279 0.837677 0.853772 0.798872 \n", " 12 0.803365 0.780317 0.766762 0.771426 0.781268 \n", " 13 0.88819 0.86243 0.841814 0.85491 0.838071 \n", " 14 0.919168 0.895122 0.8615 0.860943 0.833681 \n", " 15 0.836847 0.818122 0.812947 0.803736 0.767218 \n", " 16 0.820801 0.786658 0.766023 0.750342 0.7013 \n", " 17 0.851039 0.829547 0.811082 0.78476 0.752239 \n", " 18 0.91188 0.872585 0.813024 0.79389 0.741531 \n", " 19 0.911016 0.870582 0.821277 0.793953 0.755639 \n", " 20 0.830653 0.81204 0.799346 0.793342 0.767435 \n", " 21 0.759733 0.723563 0.687826 0.684093 0.654149 \n", " 22 0.770939 0.743385 0.716919 0.689489 0.665233 \n", " 23 0.752311 0.739998 0.785034 0.78053 0.719328 \n", " 24 0.725549 0.707601 0.697259 0.713417 0.75338 \n", " 25 0.763973 0.744249 0.722454 0.705732 0.646383 \n", " 26 0.805324 0.777871 0.752081 0.775278 0.721386 \n", " 27 0.778904 0.74717 0.705187 0.656837 0.601041 \n", " 28 0.825005 0.792009 0.757467 0.73159 0.701388 \n", " 29 0.813326 0.783211 0.727991 0.698256 0.663472 \n", " 30 0.750677 0.709978 0.675908 0.661853 0.635828 \n", " 31 0.750651 0.722358 0.73897 0.769221 0.754572 \n", " 32 0.846741 0.800146 0.769936 0.748219 0.708808 \n", " 33 0.737043 0.705915 0.689051 0.675359 0.659439 \n", " 34 0.707082 0.67734 0.645501 0.614416 0.58569 \n", " 35 0.723978 0.692151 0.662691 0.673226 0.618024 \n", " 36 0.646164 0.612636 0.601324 0.593044 0.581655 \n", " 37 0.579685 0.561718 0.540653 0.52292 0.545467 \n", " 38 0.655573 0.65302 0.625367 0.591686 0.556528 \n", " 39 0.671542 0.639308 0.625651 0.601098 0.562433 \n", " 40 0.739635 0.703704 0.660776 0.624338 0.558721 \n", " 41 0.707162 0.68806 0.656776 0.632829 0.714298 \n", " 42 0.634035 0.612905 0.585379 0.567933 0.53669 \n", " 43 0.681016 0.64318 0.613688 0.595646 0.557324 \n", " 44 0.687135 0.672551 0.657011 0.636816 0.602817 \n", " 45 0.578945 0.554243 0.498729 0.468325 0.437213 \n", " 46 0.403534 0.40226 0.438254 0.41267 0.370202 \n", " 47 0.414201 0.398039 0.382858 0.364707 0.347265 \n", " 48 0.367786 0.348626 0.328814 0.313905 0.305779 \n", " 49 0.497324 0.480595 0.461524 0.445796 0.433227 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.54017 2.00072 0.944914 0.871731 0.868074 0.814071 0.779249 \n", " 1 1.02621 1.10315 0.991437 1.02472 1.0035 1.01078 0.960156 \n", " 2 0.965491 0.928014 1.05561 1.15341 1.08128 0.989373 0.927272 \n", " 3 0.954945 0.888166 0.96243 0.949268 0.933072 0.919821 0.886242 \n", " 4 0.928167 0.872366 0.94142 0.933995 0.922304 0.908937 0.898975 \n", " 5 0.999139 0.924768 0.955542 0.926196 0.923999 0.920229 0.921973 \n", " 6 0.958745 0.864228 0.900418 0.86737 0.865442 0.874404 0.955468 \n", " 7 0.944402 0.872351 0.937207 0.945549 0.92978 0.901352 0.888997 \n", " 8 0.94416 0.89386 0.939541 0.930387 0.933379 0.942085 0.93774 \n", " 9 0.953692 0.904043 1.00422 0.979503 0.925217 0.896113 0.875022 \n", " 10 0.968954 0.900915 0.974642 0.936993 0.937959 0.91707 0.891154 \n", " 11 0.994011 0.93291 0.991758 0.957927 0.897805 0.855384 0.827655 \n", " 12 1.001 0.995728 0.927505 0.889293 0.884761 0.864214 0.850646 \n", " 13 0.944399 0.870614 0.918788 0.909078 0.908091 0.881591 0.856495 \n", " 14 0.989296 0.94771 0.989762 0.97138 0.957085 0.937545 0.918011 \n", " 15 0.960237 0.886451 0.952601 0.940889 0.934685 0.90716 0.87988 \n", " 16 0.945245 0.846559 0.915242 0.866095 0.83969 0.819704 0.790386 \n", " 17 0.933021 0.883125 0.903856 0.862437 0.855378 0.848103 0.840807 \n", " 18 0.942621 0.899719 0.967501 0.911417 0.895317 0.89333 0.870493 \n", " 19 0.91444 0.850003 0.912068 0.869154 0.846681 0.833435 0.844998 \n", " 20 0.946393 0.879998 0.906639 0.872231 0.871059 0.843948 0.838507 \n", " 21 0.95435 0.869887 0.89086 0.840165 0.808781 0.786716 0.76633 \n", " 22 0.936898 0.858934 0.881211 0.854468 0.836883 0.842289 0.812761 \n", " 23 0.956023 0.894738 0.93562 0.928478 0.89412 0.817559 0.792209 \n", " 24 1.15948 1.34235 0.924881 0.884799 0.877198 0.889354 0.889169 \n", " 25 0.960727 0.882475 0.91111 0.882282 0.841052 0.821789 0.799537 \n", " 26 0.957564 0.924242 0.938079 0.910044 0.884359 0.871719 0.809563 \n", " 27 0.919485 0.852522 0.878501 0.856907 0.827847 0.821831 0.779571 \n", " 28 0.912018 0.853368 0.903789 0.871397 0.848614 0.833059 0.801419 \n", " 29 0.907497 0.855534 0.904256 0.876279 0.858699 0.852304 0.789102 \n", " 30 0.923949 0.877505 0.882553 0.83302 0.798102 0.775907 0.753898 \n", " 31 0.931884 0.892019 0.919011 0.869776 0.822356 0.788148 0.771633 \n", " 32 0.911747 0.862595 0.88873 0.861911 0.827882 0.803379 0.820982 \n", " 33 0.937891 0.892815 0.892636 0.833576 0.787444 0.765499 0.80913 \n", " 34 0.88939 0.839721 0.853794 0.82684 0.784274 0.746598 0.708256 \n", " 35 0.899111 0.866241 0.90339 0.853423 0.805107 0.781274 0.730468 \n", " 36 0.969241 0.986658 0.922988 0.881019 0.815313 0.752742 0.711082 \n", " 37 1.04278 1.18837 0.852317 0.796378 0.748932 0.702103 0.667355 \n", " 38 0.901998 0.897263 0.844423 0.75721 0.71527 0.650492 0.616374 \n", " 39 0.931051 0.972415 0.982849 0.903684 0.817924 0.746677 0.688028 \n", " 40 0.916793 0.882735 0.974614 0.872614 0.796273 0.797225 0.758436 \n", " 41 0.871039 0.802946 0.829234 0.782279 0.756084 0.729984 0.704256 \n", " 42 0.854051 0.801723 0.815787 0.734381 0.675989 0.639976 0.603178 \n", " 43 0.895399 0.838346 0.858152 0.809626 0.755056 0.737136 0.705334 \n", " 44 0.900586 0.802411 0.852769 0.786533 0.734805 0.731578 0.685822 \n", " 45 0.785878 0.660148 0.649723 0.568605 0.526249 0.510923 0.503765 \n", " 46 0.846298 0.753778 0.722517 0.619247 0.51951 0.445887 0.40319 \n", " 47 0.765575 0.611039 0.621857 0.547768 0.491495 0.455274 0.384333 \n", " 48 1.21437 0.890765 0.799969 0.692898 0.591668 0.59103 0.55748 \n", " \n", " 7 8 9 10 11 \n", " 0 0.754572 0.745546 0.744999 0.743518 0.799963 \n", " 1 0.927801 0.934617 0.888187 0.857374 0.883924 \n", " 2 0.864119 0.816153 0.801252 0.813776 0.823517 \n", " 3 0.857408 0.831176 0.815154 0.796414 0.776012 \n", " 4 0.886081 0.863036 0.84331 0.805622 0.789835 \n", " 5 0.92809 0.931563 0.885975 0.847705 0.842216 \n", " 6 0.898287 0.87254 0.842493 0.829336 0.827492 \n", " 7 0.846772 0.853156 0.843929 0.842681 0.857191 \n", " 8 0.931375 0.923792 0.894697 0.859888 0.850205 \n", " 9 0.851603 0.841168 0.810543 0.808843 0.807716 \n", " 10 0.863068 0.843672 0.833991 0.817288 0.819475 \n", " 11 0.782616 0.772137 0.770636 0.83266 0.848658 \n", " 12 0.820819 0.804172 0.781101 0.767531 0.7722 \n", " 13 0.8361 0.838806 0.814477 0.795008 0.807376 \n", " 14 0.90314 0.909329 0.885541 0.852279 0.851728 \n", " 15 0.841831 0.803571 0.785591 0.780622 0.771777 \n", " 16 0.773119 0.775858 0.743584 0.72408 0.709257 \n", " 17 0.792715 0.794038 0.773985 0.756757 0.732198 \n", " 18 0.861639 0.859558 0.822517 0.766374 0.748338 \n", " 19 0.841161 0.833069 0.796094 0.751008 0.726022 \n", " 20 0.804919 0.786124 0.768509 0.756495 0.750813 \n", " 21 0.75203 0.725051 0.690532 0.656427 0.652865 \n", " 22 0.764466 0.722291 0.696476 0.67168 0.64598 \n", " 23 0.746168 0.719227 0.707455 0.75051 0.746205 \n", " 24 0.88058 0.841258 0.820448 0.808456 0.827191 \n", " 25 0.779279 0.73397 0.715021 0.694081 0.678016 \n", " 26 0.783238 0.771149 0.744861 0.720166 0.742378 \n", " 27 0.739943 0.71619 0.687011 0.648408 0.603951 \n", " 28 0.776018 0.752419 0.722326 0.690823 0.667223 \n", " 29 0.758829 0.738091 0.710762 0.66065 0.633665 \n", " 30 0.722843 0.693587 0.655984 0.624505 0.611519 \n", " 31 0.732544 0.69952 0.673154 0.688634 0.716826 \n", " 32 0.804733 0.772014 0.72953 0.701986 0.682186 \n", " 33 0.738491 0.691266 0.662071 0.646255 0.633413 \n", " 34 0.668672 0.628872 0.60242 0.574102 0.546455 \n", " 35 0.683079 0.650936 0.62232 0.595832 0.605304 \n", " 36 0.657586 0.626288 0.593792 0.582828 0.574803 \n", " 37 0.625807 0.604485 0.585749 0.563783 0.545291 \n", " 38 0.574964 0.591326 0.589023 0.56408 0.5337 \n", " 39 0.637471 0.62524 0.595229 0.582513 0.559653 \n", " 40 0.715406 0.678092 0.645151 0.605795 0.572389 \n", " 41 0.646607 0.615966 0.599327 0.572078 0.551219 \n", " 42 0.556471 0.541498 0.523452 0.499944 0.485044 \n", " 43 0.65136 0.609781 0.575902 0.549496 0.533341 \n", " 44 0.632943 0.618824 0.60569 0.591695 0.573508 \n", " 45 0.471956 0.45498 0.435568 0.39194 0.368046 \n", " 46 0.363225 0.34151 0.340432 0.370894 0.349242 \n", " 47 0.342945 0.317102 0.304729 0.293106 0.27921 \n", " 48 0.482207 0.446627 0.42336 0.399301 0.381196 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.00703 1.551 2.01478 0.951556 0.877859 0.874176 0.819793 \n", " 1 0.957184 0.98227 1.05592 0.948987 0.980842 0.960535 0.967501 \n", " 2 0.963041 0.929808 0.893715 1.0166 1.11078 1.04131 0.952807 \n", " 3 0.941163 0.898759 0.835909 0.905803 0.893416 0.878173 0.865701 \n", " 4 0.939682 0.872181 0.819746 0.884635 0.877658 0.866672 0.854111 \n", " 5 0.939326 0.938517 0.868658 0.897565 0.869999 0.867936 0.864394 \n", " 6 0.96653 0.926656 0.835302 0.870281 0.83834 0.836476 0.845138 \n", " 7 1.03014 0.972863 0.898641 0.965452 0.974045 0.957801 0.928516 \n", " 8 0.963431 0.909634 0.861172 0.905183 0.896364 0.899246 0.907634 \n", " 9 0.929904 0.886842 0.840673 0.933829 0.910843 0.860364 0.833299 \n", " 10 0.96685 0.936834 0.871049 0.942333 0.905932 0.906866 0.886669 \n", " 11 0.988383 0.982463 0.922072 0.980236 0.946799 0.887375 0.845447 \n", " 12 0.968076 0.969049 0.963941 0.897895 0.860904 0.856516 0.836625 \n", " 13 0.97793 0.923555 0.851399 0.898511 0.889014 0.888049 0.862134 \n", " 14 0.951608 0.941422 0.901848 0.941865 0.924373 0.91077 0.892175 \n", " 15 0.976784 0.937944 0.865871 0.930485 0.919046 0.912986 0.886099 \n", " 16 0.971547 0.918349 0.822472 0.8892 0.841451 0.815798 0.79638 \n", " 17 0.937526 0.874731 0.827952 0.847388 0.808557 0.801939 0.795119 \n", " 18 0.94518 0.890947 0.850396 0.914463 0.861454 0.846236 0.844358 \n", " 19 0.949378 0.868149 0.806974 0.865898 0.825156 0.803821 0.791245 \n", " 20 0.984547 0.931769 0.8664 0.892629 0.858753 0.857599 0.830906 \n", " 21 0.977145 0.932538 0.850006 0.870499 0.820963 0.790296 0.768736 \n", " 22 0.968862 0.907725 0.832189 0.853772 0.827862 0.810824 0.816062 \n", " 23 0.952699 0.910801 0.852416 0.891364 0.88456 0.851827 0.778887 \n", " 24 0.96867 1.12315 1.30029 0.895905 0.857079 0.849716 0.86149 \n", " 25 0.973275 0.935052 0.858891 0.886761 0.858703 0.818575 0.799826 \n", " 26 0.954383 0.913883 0.882081 0.895287 0.868531 0.844017 0.831954 \n", " 27 0.980016 0.90111 0.835485 0.860945 0.839783 0.811304 0.805407 \n", " 28 0.94837 0.864931 0.809308 0.857127 0.826407 0.8048 0.790049 \n", " 29 0.976416 0.886095 0.835358 0.88293 0.855612 0.838448 0.832203 \n", " 30 0.92588 0.855466 0.812465 0.817139 0.771277 0.738947 0.718397 \n", " 31 0.914584 0.852287 0.815827 0.840513 0.795484 0.752114 0.720828 \n", " 32 0.918294 0.837251 0.792116 0.816116 0.791488 0.760239 0.737738 \n", " 33 0.906755 0.850437 0.809564 0.809402 0.755849 0.714019 0.69412 \n", " 34 0.923331 0.821201 0.77534 0.788335 0.763447 0.724144 0.689357 \n", " 35 0.93838 0.843708 0.812864 0.847723 0.800836 0.755496 0.733132 \n", " 36 0.928762 0.900194 0.916371 0.857237 0.818257 0.757232 0.699118 \n", " 37 0.91304 0.952102 1.08502 0.7782 0.727125 0.683804 0.641047 \n", " 38 0.913296 0.823792 0.819467 0.771208 0.691557 0.653253 0.594092 \n", " 39 0.951463 0.885861 0.925217 0.935145 0.859822 0.778224 0.710436 \n", " 40 0.948788 0.869842 0.837528 0.924703 0.827925 0.755494 0.756398 \n", " 41 0.838481 0.73035 0.673255 0.695297 0.655926 0.633962 0.612078 \n", " 42 0.858427 0.73314 0.688221 0.700293 0.630412 0.580287 0.549373 \n", " 43 0.842862 0.754698 0.70661 0.723304 0.682404 0.636409 0.621304 \n", " 44 0.888887 0.800519 0.713253 0.758015 0.699139 0.653158 0.65029 \n", " 45 0.684805 0.538173 0.452073 0.444933 0.389384 0.360378 0.349883 \n", " 46 0.774265 0.655259 0.583624 0.55942 0.479461 0.402238 0.345235 \n", " 47 1.32599 1.01514 0.81023 0.824575 0.726333 0.651716 0.603688 \n", " \n", " 7 8 9 10 11 \n", " 0 0.784727 0.759877 0.750787 0.750236 0.748745 \n", " 1 0.919045 0.888076 0.8946 0.850158 0.820664 \n", " 2 0.893001 0.832183 0.785989 0.771639 0.7837 \n", " 3 0.834097 0.806961 0.782272 0.767193 0.749555 \n", " 4 0.844751 0.832634 0.810979 0.792443 0.757028 \n", " 5 0.866032 0.871778 0.875041 0.832219 0.796271 \n", " 6 0.923489 0.868221 0.843336 0.814294 0.801578 \n", " 7 0.915789 0.872291 0.878868 0.869363 0.868076 \n", " 8 0.903448 0.897316 0.890011 0.861979 0.828443 \n", " 9 0.813687 0.791909 0.782206 0.753727 0.752146 \n", " 10 0.861613 0.834457 0.815704 0.806344 0.790195 \n", " 11 0.81804 0.773524 0.763167 0.761684 0.822987 \n", " 12 0.82349 0.794616 0.7785 0.756166 0.743029 \n", " 13 0.837592 0.817648 0.820293 0.796502 0.777462 \n", " 14 0.873586 0.859435 0.865325 0.842687 0.811035 \n", " 15 0.859453 0.822288 0.784916 0.767353 0.762499 \n", " 16 0.767897 0.751122 0.753782 0.722427 0.703477 \n", " 17 0.788278 0.743191 0.744431 0.725631 0.709479 \n", " 18 0.822773 0.814405 0.812437 0.777427 0.724361 \n", " 19 0.802223 0.79858 0.790897 0.755795 0.712991 \n", " 20 0.82555 0.792481 0.773976 0.756633 0.744805 \n", " 21 0.748816 0.734843 0.70848 0.67475 0.641424 \n", " 22 0.787454 0.740662 0.699801 0.67479 0.650766 \n", " 23 0.754736 0.710874 0.685206 0.673992 0.71501 \n", " 24 0.861311 0.852991 0.814901 0.794743 0.783127 \n", " 25 0.778169 0.758453 0.714355 0.695912 0.675532 \n", " 26 0.772633 0.747509 0.735972 0.710883 0.687314 \n", " 27 0.763992 0.725156 0.701878 0.673282 0.635451 \n", " 28 0.760042 0.735952 0.713572 0.685033 0.655156 \n", " 29 0.770492 0.740933 0.720684 0.694 0.645069 \n", " 30 0.698019 0.669266 0.642179 0.607362 0.578217 \n", " 31 0.705724 0.669973 0.63977 0.615656 0.629814 \n", " 32 0.753903 0.738981 0.708935 0.669923 0.64463 \n", " 33 0.733682 0.66963 0.626809 0.600336 0.585995 \n", " 34 0.653954 0.617405 0.580656 0.556232 0.530086 \n", " 35 0.685457 0.640988 0.610826 0.583973 0.559118 \n", " 36 0.660426 0.610741 0.581673 0.551492 0.541309 \n", " 37 0.609322 0.571387 0.551919 0.534812 0.514756 \n", " 38 0.562932 0.525112 0.540056 0.537953 0.515172 \n", " 39 0.654633 0.60653 0.594893 0.566338 0.554239 \n", " 40 0.719595 0.678769 0.643366 0.612112 0.574771 \n", " 41 0.590506 0.542167 0.516476 0.502525 0.479677 \n", " 42 0.517784 0.47769 0.464837 0.449345 0.429165 \n", " 43 0.5945 0.549007 0.513962 0.485406 0.463149 \n", " 44 0.609619 0.562615 0.550065 0.53839 0.52595 \n", " 45 0.344981 0.323198 0.311573 0.298279 0.268403 \n", " 46 0.312176 0.281232 0.264419 0.263585 0.28717 \n", " 47 0.509621 0.454741 0.420473 0.404066 0.388655 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.980624 0.987518 1.52095 1.97575 0.933119 0.86085 0.857238 \n", " 1 0.970982 0.929408 0.953767 1.02528 0.92145 0.952381 0.932662 \n", " 2 1.02208 0.984301 0.950334 0.913445 1.03904 1.1353 1.0643 \n", " 3 0.956431 0.900157 0.859601 0.799489 0.866339 0.854491 0.839912 \n", " 4 0.989305 0.929632 0.862853 0.810979 0.875175 0.868271 0.857403 \n", " 5 0.938447 0.881508 0.880749 0.81519 0.842318 0.816449 0.814512 \n", " 6 1.0018 0.968266 0.92832 0.836802 0.871844 0.839845 0.837978 \n", " 7 0.986125 1.01584 0.959365 0.886172 0.952056 0.96053 0.944511 \n", " 8 0.940592 0.906196 0.855594 0.810012 0.851408 0.843112 0.845824 \n", " 9 0.922235 0.85759 0.817877 0.775299 0.86121 0.840012 0.793458 \n", " 10 0.954625 0.922979 0.894325 0.831525 0.899575 0.864825 0.865717 \n", " 11 0.959958 0.948807 0.943124 0.885151 0.940986 0.908888 0.851843 \n", " 12 0.983029 0.951648 0.952603 0.947582 0.882657 0.846294 0.84198 \n", " 13 0.993147 0.971228 0.917226 0.845564 0.892353 0.882922 0.881963 \n", " 14 0.960265 0.913796 0.904014 0.866014 0.90444 0.887643 0.87458 \n", " 15 0.979253 0.956519 0.918485 0.847907 0.911181 0.899979 0.894044 \n", " 16 0.966252 0.938759 0.887357 0.794715 0.859192 0.813054 0.788266 \n", " 17 0.917155 0.859857 0.802265 0.759361 0.777187 0.741572 0.735503 \n", " 18 0.916535 0.86629 0.816584 0.779418 0.838137 0.789552 0.775604 \n", " 19 0.923193 0.876459 0.801469 0.744993 0.799391 0.761778 0.742082 \n", " 20 0.97516 0.960091 0.908624 0.844879 0.870456 0.837421 0.836296 \n", " 21 0.998774 0.975947 0.931395 0.848964 0.869432 0.819956 0.789327 \n", " 22 0.981002 0.950456 0.89048 0.816379 0.837552 0.812134 0.79542 \n", " 23 0.914118 0.870879 0.83258 0.779209 0.814812 0.808592 0.77867 \n", " 24 0.971449 0.941014 1.09108 1.26317 0.870326 0.832609 0.825456 \n", " 25 0.939791 0.914675 0.878753 0.807178 0.83337 0.807001 0.769289 \n", " 26 0.935322 0.892656 0.854775 0.82503 0.837382 0.812356 0.789428 \n", " 27 0.95778 0.938639 0.863064 0.800211 0.824595 0.804327 0.77705 \n", " 28 0.940624 0.89206 0.813575 0.761255 0.806234 0.777338 0.757015 \n", " 29 0.94425 0.921981 0.836695 0.788786 0.833706 0.807912 0.791704 \n", " 30 0.93023 0.861282 0.79578 0.755779 0.760127 0.717465 0.687391 \n", " 31 0.842774 0.770788 0.718285 0.687558 0.708362 0.670413 0.633862 \n", " 32 0.922495 0.847122 0.77236 0.730723 0.752863 0.730144 0.701317 \n", " 33 0.950847 0.862185 0.808635 0.769771 0.769617 0.718696 0.678922 \n", " 34 0.908348 0.838705 0.745936 0.704278 0.716082 0.693475 0.657775 \n", " 35 0.938024 0.880223 0.791418 0.762485 0.795184 0.751203 0.708673 \n", " 36 0.931017 0.864693 0.838096 0.853157 0.798102 0.761811 0.704996 \n", " 37 0.917921 0.838098 0.873954 0.995966 0.714325 0.667443 0.627678 \n", " 38 0.955558 0.872708 0.787181 0.783048 0.736934 0.660823 0.624221 \n", " 39 0.89001 0.846812 0.788425 0.823453 0.832288 0.76525 0.692627 \n", " 40 0.955211 0.906293 0.830883 0.800016 0.883286 0.790844 0.721657 \n", " 41 0.912381 0.765014 0.666357 0.614265 0.634376 0.598455 0.578415 \n", " 42 0.854999 0.733954 0.626834 0.588428 0.59875 0.539002 0.496145 \n", " 43 0.851253 0.717489 0.642439 0.601504 0.615715 0.580898 0.541744 \n", " 44 0.840028 0.74669 0.672459 0.599153 0.636754 0.587297 0.548672 \n", " 45 0.764503 0.523535 0.411435 0.345611 0.340153 0.297685 0.27551 \n", " 46 0.716945 0.555105 0.469785 0.418426 0.401073 0.343747 0.288383 \n", " \n", " 7 8 9 10 11 \n", " 0 0.803909 0.769522 0.745153 0.73624 0.735699 \n", " 1 0.939426 0.892377 0.862306 0.868641 0.825488 \n", " 2 0.973841 0.912714 0.850554 0.803341 0.788674 \n", " 3 0.827984 0.797757 0.771803 0.748189 0.733767 \n", " 4 0.844977 0.835716 0.823729 0.802306 0.783968 \n", " 5 0.811189 0.812726 0.818118 0.82118 0.780994 \n", " 6 0.846656 0.925147 0.86978 0.844851 0.815757 \n", " 7 0.915633 0.903082 0.860188 0.866673 0.8573 \n", " 8 0.853714 0.849776 0.844008 0.837137 0.81077 \n", " 9 0.768498 0.750411 0.730327 0.721378 0.695114 \n", " 10 0.846437 0.822517 0.796594 0.778691 0.769756 \n", " 11 0.811594 0.785285 0.742551 0.732609 0.731185 \n", " 12 0.822427 0.809515 0.781131 0.765288 0.743333 \n", " 13 0.856226 0.831853 0.812044 0.814672 0.791043 \n", " 14 0.856725 0.838874 0.825285 0.830941 0.809203 \n", " 15 0.867716 0.841622 0.805228 0.768631 0.751433 \n", " 16 0.769504 0.741982 0.725773 0.728343 0.698046 \n", " 17 0.729247 0.722974 0.681621 0.682759 0.665516 \n", " 18 0.773884 0.7541 0.74643 0.744627 0.712539 \n", " 19 0.730472 0.740607 0.737244 0.730151 0.697744 \n", " 20 0.810267 0.805044 0.772796 0.754751 0.737839 \n", " 21 0.767793 0.747898 0.733942 0.707611 0.673923 \n", " 22 0.800558 0.772493 0.726591 0.686506 0.66197 \n", " 23 0.711995 0.689918 0.649822 0.626359 0.616108 \n", " 24 0.836894 0.83672 0.828638 0.791635 0.772053 \n", " 25 0.751669 0.731316 0.712787 0.671344 0.654012 \n", " 26 0.778146 0.722661 0.699162 0.688371 0.664905 \n", " 27 0.771403 0.731736 0.69454 0.672245 0.644856 \n", " 28 0.743139 0.714914 0.692254 0.671203 0.644359 \n", " 29 0.785808 0.727536 0.699626 0.680506 0.655309 \n", " 30 0.668274 0.649319 0.622571 0.597374 0.564987 \n", " 31 0.607495 0.594766 0.564636 0.539181 0.518859 \n", " 32 0.68056 0.695471 0.681707 0.653989 0.618001 \n", " 33 0.660002 0.697619 0.636716 0.595999 0.570828 \n", " 34 0.626176 0.594018 0.560818 0.527438 0.505252 \n", " 35 0.687696 0.642975 0.601262 0.572969 0.547781 \n", " 36 0.650891 0.614868 0.56861 0.541547 0.513448 \n", " 37 0.588431 0.559309 0.524488 0.506618 0.490915 \n", " 38 0.56769 0.537914 0.501776 0.516055 0.514045 \n", " 39 0.632295 0.58263 0.539818 0.529461 0.504047 \n", " 40 0.72252 0.687365 0.648368 0.61455 0.584696 \n", " 41 0.558448 0.538766 0.494663 0.471222 0.458494 \n", " 42 0.469714 0.442705 0.408424 0.397435 0.38419 \n", " 43 0.528887 0.506069 0.467344 0.437511 0.413204 \n", " 44 0.546262 0.512097 0.472612 0.46207 0.452263 \n", " 45 0.267486 0.263739 0.247085 0.238198 0.228035 \n", " 46 0.247514 0.223813 0.201628 0.189574 0.188976 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.06139 1.04083 1.04815 1.61433 2.09704 0.990407 0.913701 \n", " 1 0.951031 0.923434 0.883896 0.907061 0.975071 0.876327 0.905743 \n", " 2 1.0245 1.04711 1.00841 0.973613 0.93582 1.06449 1.16311 \n", " 3 0.981336 0.938581 0.883357 0.843558 0.784568 0.85017 0.838543 \n", " 4 0.9834 0.972883 0.9142 0.84853 0.797517 0.860646 0.853858 \n", " 5 0.939182 0.881373 0.827896 0.827183 0.765612 0.79109 0.766794 \n", " 6 0.988401 0.990176 0.957035 0.917553 0.827096 0.861732 0.830104 \n", " 7 0.949684 0.936507 0.96473 0.911093 0.841583 0.904152 0.9122 \n", " 8 0.99308 0.934083 0.899925 0.849673 0.804407 0.845516 0.837278 \n", " 9 0.975329 0.899483 0.836433 0.797699 0.756171 0.839963 0.819288 \n", " 10 0.977261 0.932917 0.901991 0.873989 0.812617 0.879119 0.84516 \n", " 11 1.11559 1.07092 1.05848 1.05214 0.987469 1.04976 1.01395 \n", " 12 0.987762 0.970999 0.940001 0.940945 0.935986 0.871855 0.835937 \n", " 13 0.984775 0.978026 0.956441 0.903261 0.83269 0.878767 0.869479 \n", " 14 0.967777 0.929323 0.884351 0.874885 0.838108 0.875296 0.859041 \n", " 15 1.00316 0.982351 0.959545 0.92139 0.85059 0.914063 0.902826 \n", " 16 0.967556 0.934903 0.908302 0.858568 0.768931 0.831316 0.786675 \n", " 17 0.923841 0.847306 0.794371 0.741165 0.701529 0.717997 0.685095 \n", " 18 0.962563 0.882223 0.833859 0.786014 0.750239 0.80676 0.759994 \n", " 19 0.930753 0.859265 0.815767 0.74597 0.693405 0.744035 0.709027 \n", " 20 0.988194 0.963647 0.948757 0.897896 0.834904 0.86018 0.827535 \n", " 21 0.948219 0.947056 0.925411 0.883166 0.805003 0.824411 0.777498 \n", " 22 0.943453 0.925529 0.896711 0.840126 0.770215 0.790191 0.766211 \n", " 23 1.0174 0.930022 0.886031 0.847066 0.792766 0.828988 0.82266 \n", " 24 0.957983 0.930632 0.901476 1.04524 1.21009 0.833758 0.797625 \n", " 25 0.9615 0.903609 0.87946 0.844922 0.776102 0.801285 0.775932 \n", " 26 0.930285 0.870117 0.830425 0.795185 0.767514 0.779004 0.755723 \n", " 27 0.939933 0.900249 0.882258 0.811223 0.752145 0.775065 0.756014 \n", " 28 0.919423 0.864832 0.820181 0.748019 0.699916 0.74127 0.714703 \n", " 29 0.930034 0.878185 0.857474 0.778155 0.733598 0.775375 0.751386 \n", " 30 0.934388 0.869196 0.804771 0.743568 0.706191 0.710254 0.67039 \n", " 31 1.04639 0.881867 0.806542 0.751604 0.719451 0.74122 0.701511 \n", " 32 0.949865 0.876246 0.804651 0.733638 0.694089 0.715118 0.693538 \n", " 33 0.997381 0.948356 0.859926 0.806517 0.767755 0.767601 0.716814 \n", " 34 0.910708 0.82724 0.763816 0.67933 0.641392 0.652142 0.631554 \n", " 35 0.9552 0.896 0.840789 0.755962 0.728326 0.75956 0.717549 \n", " 36 0.907155 0.844576 0.784411 0.760283 0.773945 0.724002 0.691081 \n", " 37 0.93337 0.85676 0.782256 0.815723 0.929605 0.66673 0.622971 \n", " 38 0.937951 0.896266 0.818557 0.738337 0.73446 0.691208 0.619819 \n", " 39 0.887926 0.790264 0.751907 0.700064 0.731165 0.739011 0.679486 \n", " 40 0.910035 0.869275 0.824758 0.756132 0.728042 0.803821 0.719695 \n", " 41 1.08582 0.990678 0.830665 0.723542 0.666979 0.688816 0.649812 \n", " 42 0.813915 0.695896 0.597376 0.51019 0.47893 0.487332 0.438702 \n", " 43 0.838957 0.714164 0.601942 0.538979 0.504636 0.516558 0.487348 \n", " 44 0.744258 0.625198 0.55573 0.500483 0.445924 0.473909 0.4371 \n", " 45 1.22764 0.938533 0.642712 0.505094 0.424286 0.417585 0.36545 \n", " \n", " 7 8 9 10 11 \n", " 0 0.909867 0.853264 0.816766 0.790901 0.781441 \n", " 1 0.886991 0.893424 0.848678 0.82008 0.826105 \n", " 2 1.09037 0.997695 0.935072 0.871388 0.823019 \n", " 3 0.824236 0.81253 0.782868 0.757398 0.734226 \n", " 4 0.84317 0.83095 0.821843 0.810055 0.788988 \n", " 5 0.764975 0.761854 0.763297 0.768362 0.771238 \n", " 6 0.828258 0.836836 0.914417 0.859692 0.835052 \n", " 7 0.896987 0.869562 0.857643 0.816907 0.823066 \n", " 8 0.839971 0.847806 0.843896 0.838168 0.831344 \n", " 9 0.773882 0.749538 0.731897 0.712309 0.703581 \n", " 10 0.846031 0.827189 0.803814 0.77848 0.760985 \n", " 11 0.950311 0.905409 0.876059 0.828385 0.817294 \n", " 12 0.831676 0.812362 0.799608 0.771571 0.755922 \n", " 13 0.868535 0.84319 0.819187 0.799681 0.802268 \n", " 14 0.846399 0.829119 0.811843 0.798692 0.804166 \n", " 15 0.896873 0.87046 0.844285 0.807775 0.771063 \n", " 16 0.762692 0.744538 0.717909 0.702226 0.704713 \n", " 17 0.679488 0.673709 0.667913 0.62971 0.630761 \n", " 18 0.746568 0.744912 0.725869 0.718486 0.71675 \n", " 19 0.690695 0.679889 0.689322 0.686192 0.67959 \n", " 20 0.826423 0.800701 0.795539 0.763672 0.74584 \n", " 21 0.748455 0.728036 0.709171 0.695937 0.67097 \n", " 22 0.750442 0.755289 0.728812 0.685504 0.647686 \n", " 23 0.792218 0.724383 0.701921 0.661128 0.637257 \n", " 24 0.790773 0.801731 0.801564 0.793821 0.758373 \n", " 25 0.739672 0.72273 0.703161 0.685345 0.645497 \n", " 26 0.734394 0.723897 0.672281 0.65042 0.640382 \n", " 27 0.730375 0.725067 0.687783 0.652821 0.631865 \n", " 28 0.696017 0.683259 0.657308 0.636475 0.617119 \n", " 29 0.736312 0.730828 0.676634 0.650676 0.632894 \n", " 30 0.642289 0.624428 0.606715 0.581723 0.558179 \n", " 31 0.663264 0.635674 0.622355 0.590827 0.564192 \n", " 32 0.666156 0.64644 0.660604 0.647529 0.621202 \n", " 33 0.677144 0.658273 0.695792 0.635048 0.594438 \n", " 34 0.599041 0.570263 0.540977 0.510742 0.480342 \n", " 35 0.676925 0.656887 0.614169 0.574326 0.5473 \n", " 36 0.639541 0.590459 0.55778 0.515818 0.491267 \n", " 37 0.585856 0.549224 0.522042 0.489541 0.472862 \n", " 38 0.585489 0.532465 0.504537 0.470641 0.484034 \n", " 39 0.615002 0.561431 0.517333 0.479319 0.470122 \n", " 40 0.656732 0.657518 0.625526 0.590037 0.559262 \n", " 41 0.628052 0.606373 0.585001 0.537113 0.511661 \n", " 42 0.40382 0.382307 0.360324 0.332423 0.323478 \n", " 43 0.4545 0.443713 0.42457 0.392081 0.367053 \n", " 44 0.408353 0.40656 0.381132 0.351745 0.343899 \n", " 45 0.338227 0.328376 0.323776 0.303332 0.292422 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.973838 1.03363 1.0136 1.02072 1.57209 2.04218 0.964496 \n", " 1 1.01932 0.969404 0.941274 0.900972 0.924585 0.993909 0.893257 \n", " 2 0.925807 0.948485 0.969423 0.933595 0.901377 0.866389 0.985512 \n", " 3 1.00365 0.984919 0.942007 0.886582 0.846637 0.787432 0.853273 \n", " 4 0.971087 0.954967 0.944754 0.887768 0.823997 0.774458 0.835763 \n", " 5 1.02221 0.960039 0.900946 0.846282 0.845553 0.782614 0.808658 \n", " 6 0.994199 0.982667 0.984432 0.951483 0.91223 0.822298 0.856733 \n", " 7 0.92596 0.87937 0.867168 0.893302 0.843636 0.779273 0.837209 \n", " 8 0.974394 0.967651 0.910165 0.876882 0.827917 0.783809 0.823866 \n", " 9 0.992527 0.96804 0.892761 0.830182 0.791738 0.75052 0.833686 \n", " 10 0.99687 0.974202 0.929997 0.899168 0.871253 0.810074 0.876367 \n", " 11 1.03594 1.15569 1.10941 1.09653 1.08996 1.02296 1.08749 \n", " 12 0.97414 0.962218 0.945889 0.915693 0.916612 0.911781 0.849309 \n", " 13 1.02053 1.00499 0.998106 0.976077 0.921806 0.849786 0.896808 \n", " 14 1.01155 0.978958 0.940059 0.894568 0.884992 0.847791 0.885409 \n", " 15 0.97796 0.981053 0.9607 0.938396 0.901083 0.831842 0.893917 \n", " 16 0.976943 0.945247 0.913347 0.887359 0.838771 0.751202 0.812148 \n", " 17 0.944657 0.872713 0.800414 0.750409 0.700147 0.662704 0.678261 \n", " 18 0.947736 0.912256 0.836114 0.790278 0.744933 0.711028 0.764595 \n", " 19 0.980669 0.91276 0.842654 0.799997 0.731549 0.68 0.729652 \n", " 20 0.951171 0.939941 0.916593 0.90243 0.854053 0.794137 0.818178 \n", " 21 0.972394 0.922042 0.920912 0.899864 0.858785 0.78278 0.801652 \n", " 22 0.95112 0.897337 0.88029 0.852879 0.799061 0.732567 0.751567 \n", " 23 0.961237 0.977961 0.893972 0.851686 0.814231 0.762036 0.796854 \n", " 24 0.919384 0.880754 0.855608 0.828802 0.960977 1.11254 0.766543 \n", " 25 0.95015 0.913569 0.858564 0.835619 0.802802 0.737413 0.761341 \n", " 26 0.92237 0.858068 0.80257 0.765959 0.733455 0.707932 0.71853 \n", " 27 0.910239 0.855564 0.819441 0.803066 0.738407 0.684631 0.705494 \n", " 28 0.925835 0.851234 0.800691 0.759352 0.692542 0.648006 0.686294 \n", " 29 0.919703 0.855355 0.807669 0.788621 0.715672 0.674692 0.713115 \n", " 30 0.938014 0.876469 0.815318 0.754887 0.697477 0.662417 0.666228 \n", " 31 0.913836 0.956225 0.805882 0.737047 0.686843 0.65746 0.677354 \n", " 32 0.923222 0.876936 0.808969 0.742872 0.677311 0.640798 0.660213 \n", " 33 0.943908 0.941435 0.895161 0.811691 0.761278 0.72469 0.724545 \n", " 34 0.916727 0.834871 0.758353 0.700211 0.62276 0.587981 0.597836 \n", " 35 0.93605 0.894115 0.838701 0.78702 0.707619 0.681749 0.710986 \n", " 36 0.882248 0.800336 0.745126 0.692045 0.670758 0.682812 0.638749 \n", " 37 0.89889 0.838997 0.770132 0.703161 0.733244 0.835613 0.599317 \n", " 38 0.891546 0.836226 0.799062 0.72978 0.658261 0.654805 0.616243 \n", " 39 0.857722 0.761594 0.677826 0.644927 0.60046 0.627137 0.633866 \n", " 40 0.872589 0.794086 0.75852 0.719675 0.659793 0.635282 0.701406 \n", " 41 0.880645 0.956219 0.872436 0.731521 0.637183 0.587372 0.606602 \n", " 42 0.830972 0.676341 0.578271 0.496403 0.423954 0.397978 0.404959 \n", " 43 0.692387 0.580883 0.494478 0.416777 0.373182 0.349403 0.357658 \n", " 44 1.40441 1.04524 0.878034 0.780473 0.702883 0.62626 0.665563 \n", " \n", " 7 8 9 10 11 \n", " 0 0.889796 0.886063 0.830941 0.795398 0.77021 \n", " 1 0.923242 0.904127 0.910684 0.865074 0.835923 \n", " 2 1.07681 1.00947 0.923673 0.865696 0.806737 \n", " 3 0.841604 0.827245 0.815496 0.785726 0.760163 \n", " 4 0.82917 0.818792 0.806925 0.798081 0.786634 \n", " 5 0.783823 0.781963 0.778773 0.780249 0.785425 \n", " 6 0.825289 0.823453 0.831981 0.909112 0.854705 \n", " 7 0.844661 0.830574 0.80518 0.794143 0.756423 \n", " 8 0.815839 0.818463 0.826097 0.822287 0.816706 \n", " 9 0.813166 0.768099 0.743937 0.726428 0.706986 \n", " 10 0.842514 0.843383 0.8246 0.801298 0.776043 \n", " 11 1.05039 0.984467 0.937951 0.907546 0.858159 \n", " 12 0.814319 0.810169 0.791354 0.77893 0.751618 \n", " 13 0.88733 0.886367 0.860501 0.836006 0.816099 \n", " 14 0.868965 0.856177 0.838698 0.821222 0.80792 \n", " 15 0.882927 0.877105 0.851275 0.825676 0.789971 \n", " 16 0.768537 0.745106 0.727371 0.701356 0.686034 \n", " 17 0.64718 0.641883 0.636424 0.630949 0.59486 \n", " 18 0.720273 0.707549 0.70598 0.687932 0.680935 \n", " 19 0.695321 0.677343 0.666746 0.675996 0.672927 \n", " 20 0.787127 0.786069 0.761603 0.756694 0.726383 \n", " 21 0.756034 0.727793 0.707938 0.689593 0.676725 \n", " 22 0.728758 0.71376 0.718371 0.693187 0.651997 \n", " 23 0.790772 0.761509 0.696303 0.674713 0.635501 \n", " 24 0.733323 0.727024 0.737098 0.736945 0.729826 \n", " 25 0.737251 0.702799 0.686702 0.668108 0.651181 \n", " 26 0.697057 0.677383 0.667701 0.620092 0.599928 \n", " 27 0.688153 0.664816 0.659984 0.626047 0.594223 \n", " 28 0.661697 0.644397 0.632585 0.608559 0.58927 \n", " 29 0.691052 0.677188 0.672145 0.622302 0.598428 \n", " 30 0.628836 0.602477 0.585722 0.569108 0.545664 \n", " 31 0.641066 0.606115 0.580902 0.56873 0.539919 \n", " 32 0.64029 0.61501 0.596808 0.609884 0.597813 \n", " 33 0.676606 0.639162 0.621349 0.656764 0.599427 \n", " 34 0.578962 0.549157 0.522776 0.495928 0.468211 \n", " 35 0.671662 0.633635 0.614879 0.574893 0.537597 \n", " 36 0.609705 0.564233 0.520931 0.492101 0.455079 \n", " 37 0.559982 0.52662 0.493691 0.469258 0.440043 \n", " 38 0.552597 0.52199 0.474717 0.449818 0.419598 \n", " 39 0.58281 0.527501 0.481552 0.443728 0.411122 \n", " 40 0.627998 0.573058 0.573743 0.545827 0.51486 \n", " 41 0.572254 0.553091 0.533999 0.515178 0.473006 \n", " 42 0.364549 0.335563 0.317686 0.299419 0.276234 \n", " 43 0.337434 0.31469 0.307221 0.293967 0.271472 \n", " 44 0.613868 0.573496 0.570977 0.535266 0.493995 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.953958 0.929 0.986035 0.96693 0.973727 1.49971 1.94815 \n", " 1 0.969073 0.987795 0.939423 0.912164 0.873108 0.895991 0.96317 \n", " 2 0.82772 0.766309 0.78508 0.802411 0.772755 0.746088 0.717127 \n", " 3 0.948111 0.951572 0.933813 0.893128 0.840578 0.802706 0.746573 \n", " 4 0.919808 0.893214 0.878387 0.868993 0.816576 0.757919 0.712353 \n", " 5 0.952394 0.973544 0.914335 0.858056 0.805994 0.805299 0.745357 \n", " 6 0.933524 0.928109 0.917344 0.918991 0.888233 0.851589 0.767636 \n", " 7 0.889304 0.82346 0.782027 0.771176 0.794417 0.750249 0.69301 \n", " 8 0.942687 0.918548 0.912192 0.858001 0.826625 0.780466 0.738886 \n", " 9 0.956661 0.949512 0.926086 0.85407 0.794203 0.757424 0.717993 \n", " 10 0.925248 0.922352 0.901378 0.860478 0.831953 0.806125 0.749519 \n", " 11 0.924124 0.957339 1.068 1.02524 1.01333 1.00726 0.945342 \n", " 12 0.917816 0.894081 0.88314 0.868152 0.840438 0.841282 0.836847 \n", " 13 0.961026 0.980756 0.965824 0.959205 0.938035 0.885879 0.816666 \n", " 14 0.943336 0.954234 0.923486 0.886791 0.843878 0.834845 0.799751 \n", " 15 0.924063 0.903697 0.906555 0.887747 0.867138 0.832657 0.768675 \n", " 16 0.949081 0.927198 0.897116 0.86684 0.842175 0.796062 0.712951 \n", " 17 0.901894 0.851981 0.787095 0.721888 0.676789 0.631458 0.597689 \n", " 18 0.945185 0.895786 0.862251 0.790283 0.74696 0.7041 0.672053 \n", " 19 0.96643 0.947748 0.882119 0.814366 0.773141 0.706991 0.657173 \n", " 20 0.916836 0.872068 0.861772 0.840366 0.82738 0.783027 0.728093 \n", " 21 0.944991 0.918904 0.871322 0.870254 0.850364 0.811545 0.739721 \n", " 22 0.888043 0.844636 0.796875 0.781735 0.757394 0.709601 0.650552 \n", " 23 0.907155 0.871991 0.887162 0.810971 0.772611 0.738634 0.691285 \n", " 24 0.961038 0.883562 0.846438 0.822272 0.79651 0.923536 1.06919 \n", " 25 0.911472 0.866034 0.832692 0.782557 0.761643 0.731731 0.672131 \n", " 26 0.907237 0.836808 0.778471 0.728121 0.694906 0.665417 0.642262 \n", " 27 0.890298 0.810384 0.761707 0.729547 0.714968 0.657402 0.609526 \n", " 28 0.928242 0.859399 0.790151 0.743235 0.704862 0.642847 0.601507 \n", " 29 0.902671 0.830189 0.772104 0.729059 0.711865 0.646016 0.609025 \n", " 30 0.91327 0.85666 0.800453 0.744606 0.689415 0.636985 0.604966 \n", " 31 0.914005 0.835251 0.873994 0.73658 0.673665 0.627777 0.600922 \n", " 32 0.900658 0.831507 0.78982 0.728605 0.669073 0.610025 0.57714 \n", " 33 0.88754 0.837756 0.835561 0.794491 0.720408 0.675664 0.643191 \n", " 34 0.892744 0.818403 0.745326 0.677015 0.625109 0.555966 0.524917 \n", " 35 0.913523 0.855103 0.816795 0.766173 0.718961 0.646426 0.622794 \n", " 36 0.858033 0.756998 0.686715 0.639343 0.593797 0.575533 0.585875 \n", " 37 0.872531 0.784309 0.732051 0.671964 0.61353 0.639778 0.729098 \n", " 38 0.816572 0.728011 0.682838 0.652492 0.595918 0.537517 0.534695 \n", " 39 0.818974 0.702452 0.623726 0.555122 0.528178 0.491761 0.513609 \n", " 40 0.805355 0.702744 0.639522 0.610878 0.579594 0.531368 0.511628 \n", " 41 0.789506 0.695275 0.754941 0.688793 0.57754 0.50306 0.463734 \n", " 42 0.789646 0.656174 0.53407 0.456629 0.391983 0.334773 0.314262 \n", " 43 1.08371 0.750349 0.629511 0.535873 0.451667 0.404422 0.378653 \n", " \n", " 7 8 9 10 11 \n", " 0 0.920088 0.848828 0.845267 0.792683 0.758776 \n", " 1 0.865631 0.894689 0.876165 0.882519 0.83832 \n", " 2 0.815728 0.8913 0.835561 0.764543 0.716554 \n", " 3 0.808998 0.797934 0.78432 0.773181 0.744956 \n", " 4 0.768742 0.762678 0.753132 0.742216 0.734082 \n", " 5 0.770161 0.746508 0.744737 0.741698 0.743104 \n", " 6 0.799781 0.770427 0.768714 0.776675 0.848678 \n", " 7 0.744533 0.751161 0.738633 0.716049 0.706235 \n", " 8 0.776648 0.769081 0.771554 0.778751 0.775159 \n", " 9 0.797555 0.777924 0.73481 0.711695 0.694945 \n", " 10 0.810857 0.779534 0.780338 0.762959 0.741399 \n", " 11 1.00497 0.970693 0.909769 0.866783 0.838685 \n", " 12 0.77951 0.747396 0.743586 0.726318 0.714915 \n", " 13 0.861856 0.852747 0.851821 0.826963 0.803423 \n", " 14 0.835238 0.819726 0.807663 0.791174 0.774689 \n", " 15 0.826036 0.81588 0.810501 0.786632 0.762977 \n", " 16 0.770794 0.729404 0.707166 0.690334 0.665643 \n", " 17 0.61172 0.583688 0.57891 0.573987 0.569049 \n", " 18 0.722684 0.680792 0.668765 0.667282 0.650223 \n", " 19 0.705158 0.671979 0.654604 0.644363 0.653303 \n", " 20 0.750135 0.721666 0.720697 0.698265 0.693764 \n", " 21 0.757555 0.714446 0.687758 0.668995 0.65166 \n", " 22 0.667424 0.647169 0.63385 0.637944 0.61558 \n", " 23 0.722871 0.717353 0.690807 0.631655 0.612069 \n", " 24 0.736677 0.704752 0.698697 0.708379 0.708232 \n", " 25 0.693941 0.671984 0.640581 0.625909 0.608962 \n", " 26 0.651877 0.632396 0.614547 0.605763 0.562571 \n", " 27 0.6281 0.612661 0.591885 0.587583 0.557369 \n", " 28 0.637047 0.614215 0.598156 0.587192 0.56489 \n", " 29 0.643708 0.623792 0.611278 0.606725 0.561734 \n", " 30 0.608446 0.574297 0.550224 0.534922 0.519749 \n", " 31 0.619105 0.585937 0.553992 0.530947 0.519822 \n", " 32 0.594626 0.576682 0.553914 0.53752 0.549297 \n", " 33 0.643062 0.600515 0.567281 0.551472 0.582904 \n", " 34 0.533714 0.516865 0.490256 0.466705 0.442737 \n", " 35 0.649502 0.613579 0.578841 0.561706 0.525178 \n", " 36 0.548068 0.523147 0.484131 0.446976 0.422239 \n", " 37 0.522922 0.488602 0.459492 0.430761 0.409442 \n", " 38 0.503207 0.451235 0.426242 0.38764 0.367308 \n", " 39 0.519119 0.477306 0.432009 0.394378 0.363401 \n", " 40 0.564881 0.505762 0.461515 0.462067 0.439585 \n", " 41 0.478916 0.451798 0.436669 0.421595 0.406736 \n", " 42 0.319774 0.287865 0.264976 0.25086 0.236435 \n", " 43 0.387599 0.365681 0.341034 0.33294 0.318576 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.951387 0.907583 0.883839 0.938101 0.919925 0.926391 1.4268 \n", " 1 0.945655 0.916409 0.934113 0.888371 0.862592 0.825659 0.847298 \n", " 2 0.937642 0.776105 0.718524 0.736124 0.752374 0.724568 0.699564 \n", " 3 0.955179 0.905617 0.908922 0.891959 0.853097 0.802903 0.766728 \n", " 4 0.983694 0.90481 0.87865 0.864064 0.854823 0.803261 0.74556 \n", " 5 0.97147 0.925222 0.945769 0.888249 0.833575 0.782999 0.782324 \n", " 6 0.993033 0.92702 0.921643 0.910953 0.912589 0.882044 0.845656 \n", " 7 0.972282 0.864655 0.800636 0.760351 0.749801 0.772398 0.729454 \n", " 8 1.00374 0.946215 0.921986 0.915606 0.861212 0.829719 0.783387 \n", " 9 0.988091 0.945268 0.938204 0.915058 0.843899 0.784745 0.748404 \n", " 10 0.965582 0.893402 0.890606 0.870354 0.830862 0.803319 0.778379 \n", " 11 0.988141 0.913165 0.945985 1.05534 1.01308 1.00131 0.995312 \n", " 12 0.957669 0.878964 0.856234 0.845755 0.831402 0.804861 0.805669 \n", " 13 0.953779 0.916606 0.935425 0.921183 0.91487 0.894678 0.844933 \n", " 14 0.963159 0.908582 0.919079 0.889464 0.854121 0.812788 0.804088 \n", " 15 0.956157 0.883549 0.864075 0.866809 0.848826 0.829119 0.796151 \n", " 16 0.954677 0.906065 0.885174 0.856456 0.827552 0.804005 0.759982 \n", " 17 0.95485 0.861173 0.813513 0.751557 0.689295 0.646231 0.602948 \n", " 18 0.98145 0.927652 0.879169 0.846256 0.775623 0.733103 0.691039 \n", " 19 0.98438 0.951334 0.932943 0.86834 0.801645 0.761064 0.695948 \n", " 20 0.962704 0.882642 0.839543 0.829631 0.809023 0.796522 0.753823 \n", " 21 0.949673 0.897433 0.872658 0.827471 0.826456 0.807567 0.770702 \n", " 22 0.940761 0.835436 0.7946 0.749668 0.735426 0.712527 0.667565 \n", " 23 0.970085 0.880018 0.845905 0.860623 0.786711 0.749498 0.716537 \n", " 24 0.983971 0.945633 0.8694 0.83287 0.809091 0.783742 0.908732 \n", " 25 0.929626 0.847328 0.805088 0.774093 0.727485 0.708043 0.680236 \n", " 26 0.973648 0.883329 0.814756 0.757956 0.708933 0.676594 0.647882 \n", " 27 0.927701 0.82593 0.751794 0.706636 0.676802 0.663277 0.609873 \n", " 28 0.963813 0.894651 0.828299 0.761558 0.716339 0.679355 0.619584 \n", " 29 0.971456 0.876905 0.806492 0.750065 0.708249 0.691546 0.627576 \n", " 30 0.929851 0.849205 0.796566 0.744302 0.692372 0.641054 0.592301 \n", " 31 0.950879 0.869108 0.794222 0.831063 0.700398 0.640573 0.59694 \n", " 32 0.952014 0.85744 0.791607 0.75192 0.693642 0.636968 0.580753 \n", " 33 0.937452 0.832026 0.785356 0.783299 0.744797 0.675348 0.633403 \n", " 34 0.909803 0.812221 0.744585 0.6781 0.61595 0.568726 0.505819 \n", " 35 0.886932 0.810233 0.758419 0.724441 0.679543 0.63767 0.573336 \n", " 36 0.913195 0.783551 0.691287 0.627104 0.583844 0.542253 0.525573 \n", " 37 0.873786 0.762405 0.685318 0.639656 0.587153 0.536094 0.559029 \n", " 38 0.803195 0.655866 0.584734 0.548452 0.524078 0.478638 0.431731 \n", " 39 0.762552 0.624511 0.535656 0.475623 0.42331 0.402764 0.374994 \n", " 40 0.813519 0.655172 0.571696 0.520263 0.496961 0.471511 0.432278 \n", " 41 0.672761 0.531149 0.467754 0.507895 0.463393 0.388547 0.338439 \n", " 42 1.26087 0.995639 0.827349 0.673391 0.575749 0.494238 0.422105 \n", " \n", " 7 8 9 10 11 \n", " 0 1.85345 0.87536 0.807564 0.804176 0.754148 \n", " 1 0.910827 0.818589 0.846067 0.82855 0.834559 \n", " 2 0.672409 0.764861 0.83572 0.783457 0.716867 \n", " 3 0.713112 0.772738 0.76217 0.749167 0.738527 \n", " 4 0.700738 0.756207 0.750242 0.740851 0.730114 \n", " 5 0.724092 0.748188 0.72521 0.72349 0.720538 \n", " 6 0.762287 0.794209 0.765059 0.763358 0.771263 \n", " 7 0.673801 0.723896 0.73034 0.71816 0.696202 \n", " 8 0.741652 0.779555 0.771959 0.774442 0.781666 \n", " 9 0.709443 0.788057 0.768659 0.72606 0.70322 \n", " 10 0.723722 0.782949 0.752704 0.75348 0.7367 \n", " 11 0.934131 0.993056 0.959181 0.89898 0.856504 \n", " 12 0.801423 0.746512 0.715758 0.712109 0.695572 \n", " 13 0.778919 0.82202 0.813332 0.812449 0.78874 \n", " 14 0.770287 0.804466 0.789526 0.777907 0.762026 \n", " 15 0.734974 0.78982 0.780109 0.774966 0.752144 \n", " 16 0.680638 0.73586 0.696345 0.675115 0.659046 \n", " 17 0.570703 0.5841 0.557334 0.552772 0.548071 \n", " 18 0.659587 0.709278 0.668163 0.65636 0.654903 \n", " 19 0.646907 0.694143 0.661482 0.644379 0.634298 \n", " 20 0.700938 0.722158 0.694751 0.693818 0.672223 \n", " 21 0.702493 0.719429 0.67849 0.653145 0.635326 \n", " 22 0.612013 0.627886 0.608831 0.596301 0.600153 \n", " 23 0.670605 0.701246 0.695893 0.670141 0.612759 \n", " 24 1.05205 0.724869 0.693455 0.687498 0.697024 \n", " 25 0.624831 0.645105 0.624694 0.595501 0.581862 \n", " 26 0.625337 0.634699 0.61573 0.598352 0.5898 \n", " 27 0.565458 0.582689 0.568367 0.549092 0.545101 \n", " 28 0.57974 0.613994 0.591988 0.57651 0.565943 \n", " 29 0.591641 0.625334 0.605987 0.59383 0.589407 \n", " 30 0.562528 0.565764 0.534011 0.511626 0.497398 \n", " 31 0.571404 0.588694 0.557155 0.526779 0.504867 \n", " 32 0.549445 0.566092 0.54901 0.527334 0.511726 \n", " 33 0.602961 0.60284 0.562954 0.531799 0.516978 \n", " 34 0.477571 0.485575 0.470245 0.446037 0.42461 \n", " 35 0.552376 0.576065 0.544203 0.513392 0.498195 \n", " 36 0.535018 0.500493 0.477735 0.442106 0.408176 \n", " 37 0.637075 0.456922 0.426934 0.401498 0.376393 \n", " 38 0.429464 0.404173 0.36243 0.342355 0.31135 \n", " 39 0.391653 0.395856 0.363971 0.32943 0.300734 \n", " 40 0.416219 0.459541 0.411447 0.375451 0.3759 \n", " 41 0.311982 0.322196 0.303952 0.293774 0.283633 \n", " 42 0.396243 0.403193 0.362959 0.3341 0.316301 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.927025 0.881959 0.841352 0.81934 0.869643 0.852793 0.858788 \n", " 1 0.962009 0.909729 0.881594 0.898626 0.854621 0.829822 0.794292 \n", " 2 1.12577 1.05557 0.873717 0.808893 0.828708 0.847002 0.815698 \n", " 3 0.927717 0.886137 0.840156 0.843223 0.827486 0.791433 0.744867 \n", " 4 0.944097 0.928703 0.854229 0.82953 0.81576 0.807036 0.758357 \n", " 5 0.95947 0.932096 0.887723 0.907437 0.852248 0.79979 0.751264 \n", " 6 0.970679 0.963916 0.899839 0.894619 0.884243 0.885831 0.856182 \n", " 7 0.970537 0.943636 0.839179 0.777046 0.737949 0.727709 0.74964 \n", " 8 0.949872 0.953427 0.898783 0.875769 0.869708 0.818041 0.788126 \n", " 9 0.929332 0.918265 0.878468 0.871903 0.850392 0.784262 0.729288 \n", " 10 0.931749 0.89968 0.832427 0.829822 0.810952 0.774155 0.748492 \n", " 11 0.929222 0.918203 0.848533 0.879031 0.980641 0.941375 0.930439 \n", " 12 0.939231 0.899472 0.82555 0.804202 0.79436 0.780879 0.755951 \n", " 13 0.9418 0.898269 0.86326 0.880983 0.86757 0.861624 0.842608 \n", " 14 0.953301 0.91818 0.866152 0.876159 0.847926 0.814234 0.774831 \n", " 15 0.954503 0.912655 0.843351 0.824763 0.827372 0.810207 0.791397 \n", " 16 0.932364 0.890107 0.844783 0.825305 0.798529 0.77158 0.749626 \n", " 17 0.948915 0.906071 0.81718 0.771955 0.713164 0.654082 0.613219 \n", " 18 0.932651 0.91535 0.865175 0.819957 0.789261 0.723385 0.683729 \n", " 19 0.935441 0.920829 0.889916 0.872713 0.81228 0.749892 0.711931 \n", " 20 0.924938 0.890442 0.816389 0.776525 0.767358 0.748297 0.736733 \n", " 21 0.925523 0.878944 0.830595 0.807665 0.765843 0.764904 0.747422 \n", " 22 0.894506 0.841516 0.747303 0.710775 0.670583 0.657843 0.637359 \n", " 23 0.925034 0.897362 0.814046 0.782491 0.796105 0.727734 0.693312 \n", " 24 0.926314 0.911466 0.875953 0.805337 0.7715 0.749473 0.725992 \n", " 25 0.910412 0.846343 0.771417 0.732962 0.704743 0.662311 0.644611 \n", " 26 0.936113 0.911444 0.826896 0.762704 0.709532 0.663641 0.633368 \n", " 27 0.888387 0.824158 0.733746 0.667884 0.627766 0.601262 0.589246 \n", " 28 0.889046 0.856874 0.795386 0.736396 0.67706 0.636859 0.603978 \n", " 29 0.902485 0.876725 0.791394 0.727847 0.676923 0.639184 0.62411 \n", " 30 0.894149 0.831426 0.759316 0.712249 0.665517 0.619084 0.573198 \n", " 31 0.904955 0.860502 0.786503 0.718735 0.752074 0.633829 0.57969 \n", " 32 0.917051 0.873046 0.786316 0.725944 0.689549 0.636105 0.584132 \n", " 33 0.893017 0.837161 0.743013 0.701336 0.699499 0.665116 0.603098 \n", " 34 0.840689 0.764861 0.682825 0.625964 0.570071 0.517822 0.478121 \n", " 35 0.879894 0.780406 0.712919 0.667328 0.637432 0.597926 0.561082 \n", " 36 0.870643 0.795066 0.682193 0.601864 0.545984 0.50832 0.472108 \n", " 37 0.834747 0.72939 0.636416 0.572067 0.533951 0.490124 0.447503 \n", " 38 0.80224 0.644355 0.526162 0.469097 0.43999 0.420436 0.383983 \n", " 39 0.752771 0.574027 0.470113 0.403226 0.358035 0.318655 0.303189 \n", " 40 0.846509 0.688651 0.554609 0.483946 0.440407 0.420682 0.399138 \n", " 41 1.56208 1.05091 0.829698 0.73067 0.793373 0.723859 0.606942 \n", " \n", " 7 8 9 10 11 \n", " 0 1.32268 1.71819 0.81148 0.748632 0.745491 \n", " 1 0.815109 0.876224 0.78749 0.813924 0.797073 \n", " 2 0.787549 0.756979 0.861058 0.94083 0.881994 \n", " 3 0.711307 0.661566 0.716883 0.707079 0.695015 \n", " 4 0.703881 0.661564 0.713932 0.708301 0.699436 \n", " 5 0.750617 0.694744 0.717864 0.695817 0.694167 \n", " 6 0.82086 0.739936 0.770922 0.742627 0.740976 \n", " 7 0.707962 0.653949 0.702568 0.708822 0.697 \n", " 8 0.744117 0.704474 0.740477 0.733262 0.73562 \n", " 9 0.695516 0.659308 0.732366 0.71434 0.67475 \n", " 10 0.725255 0.674327 0.729512 0.701332 0.702055 \n", " 11 0.924866 0.868015 0.92277 0.891293 0.835352 \n", " 12 0.75671 0.752721 0.701148 0.672262 0.668835 \n", " 13 0.795758 0.733586 0.774179 0.765996 0.765165 \n", " 14 0.766538 0.734316 0.766898 0.752656 0.74158 \n", " 15 0.759929 0.701535 0.753885 0.744617 0.739707 \n", " 16 0.70858 0.634603 0.686089 0.649247 0.629453 \n", " 17 0.572146 0.541549 0.554262 0.528863 0.524534 \n", " 18 0.644498 0.615164 0.661509 0.623163 0.612154 \n", " 19 0.651018 0.605143 0.649329 0.618778 0.602778 \n", " 20 0.697239 0.648324 0.667951 0.642602 0.641738 \n", " 21 0.713302 0.650173 0.665848 0.627958 0.604501 \n", " 22 0.597141 0.54745 0.561648 0.544603 0.533395 \n", " 23 0.662822 0.620333 0.648676 0.643725 0.619904 \n", " 24 0.841771 0.974532 0.671456 0.642357 0.636839 \n", " 25 0.619295 0.568853 0.587312 0.568729 0.542151 \n", " 26 0.606491 0.585386 0.594149 0.576393 0.560125 \n", " 27 0.541803 0.502345 0.517653 0.50493 0.487806 \n", " 28 0.550839 0.515415 0.545869 0.526304 0.512544 \n", " 29 0.566378 0.533947 0.564355 0.546894 0.535923 \n", " 30 0.529606 0.502984 0.505878 0.477485 0.45747 \n", " 31 0.540204 0.517095 0.532741 0.5042 0.476711 \n", " 32 0.53258 0.503869 0.519136 0.50347 0.483592 \n", " 33 0.56564 0.538454 0.538346 0.502727 0.474906 \n", " 34 0.425236 0.401488 0.408217 0.39533 0.374978 \n", " 35 0.504475 0.486032 0.506876 0.478841 0.451731 \n", " 36 0.457587 0.46581 0.43575 0.415937 0.384916 \n", " 37 0.466648 0.531797 0.381414 0.356381 0.335149 \n", " 38 0.346352 0.344534 0.324244 0.290756 0.274651 \n", " 39 0.282284 0.294825 0.297989 0.273987 0.247985 \n", " 40 0.365927 0.352333 0.389006 0.348293 0.317823 \n", " 41 0.52867 0.487342 0.503297 0.474798 0.458899 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.949768 0.880458 0.837657 0.799089 0.778183 0.825959 0.809955 \n", " 1 0.970356 0.933491 0.882761 0.85546 0.871987 0.829286 0.805222 \n", " 2 0.94495 1.0638 0.997461 0.825619 0.764364 0.783087 0.800374 \n", " 3 0.977089 0.906463 0.865834 0.820908 0.823904 0.808527 0.773301 \n", " 4 0.993476 0.937938 0.922644 0.848656 0.824119 0.810438 0.801771 \n", " 5 0.998464 0.957997 0.930665 0.88636 0.906044 0.85094 0.798562 \n", " 6 0.98216 0.953362 0.94672 0.883786 0.878659 0.868468 0.870028 \n", " 7 0.958446 0.930207 0.904424 0.804308 0.744757 0.707284 0.69747 \n", " 8 0.993867 0.944046 0.947579 0.89327 0.870397 0.864374 0.813023 \n", " 9 0.955157 0.887657 0.877086 0.839074 0.832804 0.812258 0.749093 \n", " 10 0.98145 0.914466 0.882992 0.816986 0.814429 0.795909 0.759795 \n", " 11 0.953754 0.886249 0.875739 0.809291 0.838379 0.93529 0.89784 \n", " 12 0.964661 0.906039 0.867686 0.796376 0.775782 0.766288 0.753283 \n", " 13 0.977237 0.920361 0.877822 0.843609 0.860929 0.847821 0.842011 \n", " 14 0.963062 0.918087 0.884264 0.834158 0.843795 0.816605 0.784158 \n", " 15 0.966666 0.922685 0.882232 0.815238 0.79727 0.799792 0.783199 \n", " 16 0.941548 0.877866 0.838078 0.795404 0.777064 0.751853 0.72648 \n", " 17 0.956372 0.907516 0.866541 0.781528 0.738276 0.68205 0.625546 \n", " 18 0.912249 0.850809 0.835026 0.789255 0.748005 0.720002 0.659907 \n", " 19 0.965417 0.90309 0.888983 0.85914 0.842532 0.784189 0.723958 \n", " 20 0.930141 0.860323 0.828237 0.759357 0.722278 0.713751 0.696022 \n", " 21 0.954955 0.883833 0.839352 0.793181 0.771284 0.731346 0.730449 \n", " 22 0.930422 0.832268 0.782965 0.695307 0.66132 0.623925 0.612072 \n", " 23 0.927178 0.857671 0.832014 0.754766 0.725508 0.738131 0.674739 \n", " 24 0.947507 0.877689 0.863621 0.829972 0.763063 0.731001 0.710131 \n", " 25 0.930899 0.847502 0.78786 0.718112 0.682314 0.656045 0.616545 \n", " 26 0.927474 0.86822 0.84534 0.766924 0.707388 0.658073 0.61551 \n", " 27 0.91809 0.815619 0.756651 0.673645 0.613178 0.576346 0.552013 \n", " 28 0.927104 0.824238 0.794411 0.737406 0.682716 0.627705 0.590434 \n", " 29 0.914655 0.825462 0.801901 0.723852 0.665729 0.619151 0.584633 \n", " 30 0.910589 0.814203 0.757088 0.691425 0.648567 0.606013 0.563732 \n", " 31 0.953054 0.862471 0.820105 0.74958 0.684994 0.716768 0.604073 \n", " 32 0.9099 0.834425 0.794384 0.715469 0.660536 0.62742 0.578792 \n", " 33 0.904262 0.807521 0.757013 0.671879 0.634192 0.63253 0.601439 \n", " 34 0.849709 0.714341 0.64991 0.580203 0.531888 0.484394 0.439999 \n", " 35 0.8625 0.758909 0.673101 0.614893 0.575571 0.549785 0.515711 \n", " 36 0.911505 0.793595 0.724707 0.621822 0.548602 0.497667 0.463336 \n", " 37 0.802414 0.669812 0.585273 0.510668 0.459034 0.428449 0.393282 \n", " 38 0.849624 0.681602 0.547459 0.44704 0.398556 0.373826 0.357213 \n", " 39 0.685178 0.515782 0.393311 0.322111 0.276282 0.245318 0.218335 \n", " 40 1.14342 0.967912 0.787415 0.634149 0.553352 0.503569 0.481015 \n", " \n", " 7 8 9 10 11 \n", " 0 0.815649 1.25624 1.63188 0.770718 0.711027 \n", " 1 0.770746 0.790945 0.850249 0.764146 0.789796 \n", " 2 0.770794 0.744194 0.715307 0.813657 0.889037 \n", " 3 0.727802 0.695011 0.646409 0.700458 0.690879 \n", " 4 0.753409 0.699289 0.657248 0.709275 0.70368 \n", " 5 0.75011 0.749464 0.693677 0.716762 0.694749 \n", " 6 0.840908 0.806217 0.726736 0.757169 0.729379 \n", " 7 0.71849 0.678543 0.626775 0.673374 0.679368 \n", " 8 0.783292 0.739553 0.700153 0.735935 0.728765 \n", " 9 0.696584 0.664327 0.629742 0.699524 0.682306 \n", " 10 0.734608 0.711801 0.661819 0.71598 0.688322 \n", " 11 0.887409 0.882094 0.827873 0.880095 0.850074 \n", " 12 0.729236 0.729968 0.72612 0.676369 0.648505 \n", " 13 0.823428 0.777644 0.716887 0.756556 0.74856 \n", " 14 0.74621 0.738223 0.707191 0.73857 0.724854 \n", " 15 0.765016 0.734597 0.67815 0.728755 0.719796 \n", " 16 0.705809 0.667162 0.597509 0.645986 0.611297 \n", " 17 0.586465 0.547185 0.517922 0.53008 0.505789 \n", " 18 0.623731 0.587942 0.561182 0.60346 0.568479 \n", " 19 0.68731 0.628503 0.584216 0.626873 0.597378 \n", " 20 0.685266 0.648531 0.603033 0.621289 0.59771 \n", " 21 0.713755 0.681172 0.620886 0.635855 0.599672 \n", " 22 0.593013 0.555593 0.509359 0.52257 0.506711 \n", " 23 0.642823 0.614553 0.575158 0.601438 0.596847 \n", " 24 0.687882 0.797584 0.923376 0.63621 0.608638 \n", " 25 0.600068 0.576502 0.529545 0.546728 0.529429 \n", " 26 0.587432 0.562504 0.54293 0.551058 0.53459 \n", " 27 0.540981 0.497424 0.461198 0.475252 0.463571 \n", " 28 0.55995 0.510685 0.477843 0.506077 0.487939 \n", " 29 0.570845 0.51804 0.488377 0.51619 0.500219 \n", " 30 0.521948 0.482253 0.458012 0.460647 0.434793 \n", " 31 0.552476 0.514844 0.492819 0.507731 0.48053 \n", " 32 0.531501 0.484595 0.458471 0.472361 0.458107 \n", " 33 0.545358 0.511486 0.486904 0.486806 0.454597 \n", " 34 0.406264 0.361327 0.341149 0.346866 0.335915 \n", " 35 0.483933 0.43511 0.419203 0.43718 0.413 \n", " 36 0.430329 0.417092 0.424588 0.397189 0.379128 \n", " 37 0.359082 0.374445 0.426721 0.306052 0.285965 \n", " 38 0.326241 0.294269 0.292724 0.275485 0.247033 \n", " 39 0.207738 0.193415 0.202008 0.204175 0.18773 \n", " 40 0.456381 0.418407 0.402863 0.444796 0.398244 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.958902 0.910734 0.844273 0.803231 0.766248 0.746201 0.792014 \n", " 1 0.974894 0.945994 0.910055 0.860598 0.833982 0.850094 0.808466 \n", " 2 0.978452 0.924588 1.04088 0.975968 0.807829 0.747893 0.766213 \n", " 3 0.97669 0.954314 0.885333 0.845652 0.801773 0.804699 0.789681 \n", " 4 0.968335 0.962017 0.908238 0.893428 0.821782 0.798023 0.784775 \n", " 5 0.993691 0.992165 0.951953 0.924793 0.880767 0.900327 0.845571 \n", " 6 0.990881 0.973204 0.944669 0.938088 0.875728 0.870647 0.860549 \n", " 7 0.970318 0.929998 0.902597 0.877579 0.780434 0.722651 0.68629 \n", " 8 0.973635 0.967663 0.919156 0.922596 0.869719 0.847449 0.841585 \n", " 9 0.943288 0.900988 0.837317 0.827345 0.791489 0.785574 0.766193 \n", " 10 0.968946 0.950972 0.886068 0.855571 0.791615 0.789137 0.771193 \n", " 11 0.974885 0.9298 0.863991 0.853745 0.788966 0.817323 0.9118 \n", " 12 0.96358 0.929527 0.873041 0.836084 0.767372 0.747527 0.738379 \n", " 13 0.959324 0.937487 0.882925 0.842116 0.809295 0.82591 0.813335 \n", " 14 0.954648 0.919385 0.87645 0.844161 0.796327 0.805527 0.77957 \n", " 15 0.968462 0.936179 0.893586 0.854408 0.789527 0.772125 0.774568 \n", " 16 0.947337 0.891963 0.831634 0.793942 0.753515 0.736141 0.712258 \n", " 17 0.976497 0.933894 0.886186 0.846175 0.76316 0.720924 0.66602 \n", " 18 0.927129 0.845772 0.78881 0.774177 0.731741 0.693497 0.667535 \n", " 19 0.98172 0.947769 0.886582 0.872733 0.843435 0.827131 0.769854 \n", " 20 0.922188 0.857765 0.79338 0.76379 0.70027 0.666077 0.658213 \n", " 21 0.926438 0.884707 0.818817 0.777608 0.734833 0.714547 0.677547 \n", " 22 0.900562 0.837902 0.749509 0.705108 0.626167 0.59556 0.561883 \n", " 23 0.922628 0.85544 0.791311 0.767639 0.696368 0.669374 0.68102 \n", " 24 0.959007 0.908666 0.84171 0.828218 0.795949 0.731782 0.701035 \n", " 25 0.95236 0.886552 0.807127 0.750327 0.683901 0.649809 0.624791 \n", " 26 0.947408 0.878696 0.822559 0.800882 0.72659 0.670185 0.623463 \n", " 27 0.930152 0.853963 0.75865 0.7038 0.626592 0.570348 0.53609 \n", " 28 0.895642 0.830353 0.738222 0.711508 0.660451 0.611469 0.562198 \n", " 29 0.902594 0.825561 0.745057 0.72379 0.653344 0.600883 0.558841 \n", " 30 0.884571 0.805481 0.72022 0.669697 0.611615 0.573703 0.536061 \n", " 31 0.875267 0.834177 0.754892 0.717811 0.656083 0.599552 0.627363 \n", " 32 0.894218 0.813649 0.746158 0.710353 0.639785 0.590664 0.561051 \n", " 33 0.938805 0.848926 0.758105 0.710687 0.630763 0.595383 0.593823 \n", " 34 0.841296 0.714857 0.600972 0.546766 0.488122 0.447475 0.407519 \n", " 35 0.828517 0.714596 0.628769 0.557675 0.509449 0.47687 0.455506 \n", " 36 0.862022 0.785738 0.684097 0.624713 0.536025 0.472907 0.429 \n", " 37 0.812559 0.652008 0.544262 0.475568 0.414948 0.372993 0.34814 \n", " 38 0.768164 0.652651 0.523583 0.420539 0.3434 0.306157 0.28716 \n", " 39 1.17087 0.802256 0.603914 0.460516 0.377151 0.323491 0.287236 \n", " \n", " 7 8 9 10 11 \n", " 0 0.776668 0.782128 1.20461 1.56482 0.739043 \n", " 1 0.785006 0.751395 0.771088 0.828902 0.744961 \n", " 2 0.783128 0.754185 0.728158 0.699893 0.796124 \n", " 3 0.755275 0.710837 0.67881 0.631341 0.684131 \n", " 4 0.776382 0.729552 0.677146 0.636436 0.686815 \n", " 5 0.793524 0.745377 0.744736 0.689301 0.71224 \n", " 6 0.862094 0.83324 0.798865 0.720109 0.750265 \n", " 7 0.676768 0.697164 0.658403 0.608171 0.653387 \n", " 8 0.791588 0.762641 0.720055 0.681694 0.716532 \n", " 9 0.70661 0.65708 0.626651 0.594028 0.659853 \n", " 10 0.7362 0.711795 0.689697 0.641267 0.693746 \n", " 11 0.87529 0.865122 0.859941 0.807081 0.857991 \n", " 12 0.725848 0.702677 0.703382 0.699675 0.651736 \n", " 13 0.807762 0.789934 0.746013 0.687727 0.725782 \n", " 14 0.748594 0.712368 0.704743 0.675119 0.705075 \n", " 15 0.758498 0.740889 0.711429 0.656762 0.705771 \n", " 16 0.688221 0.668639 0.632027 0.566042 0.611966 \n", " 17 0.610844 0.572681 0.534324 0.505749 0.517622 \n", " 18 0.611819 0.578279 0.545098 0.520288 0.559486 \n", " 19 0.710724 0.674746 0.617014 0.573536 0.615414 \n", " 20 0.641863 0.631945 0.598068 0.55611 0.572946 \n", " 21 0.676716 0.66125 0.631064 0.575213 0.589081 \n", " 22 0.551208 0.534045 0.500345 0.458709 0.470606 \n", " 23 0.622533 0.593086 0.567004 0.530657 0.554904 \n", " 24 0.68102 0.659684 0.764889 0.885524 0.610129 \n", " 25 0.587173 0.571481 0.549037 0.504318 0.520682 \n", " 26 0.583139 0.556538 0.532921 0.514376 0.522077 \n", " 27 0.513456 0.503195 0.46268 0.428985 0.442057 \n", " 28 0.528818 0.501515 0.45739 0.427976 0.453264 \n", " 29 0.527686 0.515241 0.46758 0.440806 0.46591 \n", " 30 0.498661 0.4617 0.426587 0.405144 0.407475 \n", " 31 0.528725 0.483564 0.450626 0.431348 0.4444 \n", " 32 0.517566 0.475278 0.433333 0.409973 0.422394 \n", " 33 0.564635 0.511985 0.480186 0.457108 0.457016 \n", " 34 0.370169 0.341788 0.303983 0.287007 0.291817 \n", " 35 0.427276 0.400947 0.360496 0.347317 0.362211 \n", " 36 0.399406 0.370953 0.359543 0.366004 0.342385 \n", " 37 0.319565 0.291776 0.304258 0.346736 0.248685 \n", " 38 0.274398 0.250607 0.226047 0.22486 0.211618 \n", " 39 0.255643 0.243235 0.226464 0.236525 0.239063 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.450509 0.431994 0.410294 0.380352 0.361862 0.345201 0.33617 \n", " 1 0.930779 0.907411 0.880511 0.84706 0.801027 0.776253 0.79125 \n", " 2 0.975124 0.954112 0.901588 1.01498 0.95169 0.787733 0.729289 \n", " 3 1.03619 1.01204 0.988849 0.917373 0.876256 0.830788 0.833821 \n", " 4 1.05494 1.02153 1.01487 0.958133 0.94251 0.866928 0.841863 \n", " 5 1.04238 1.03581 1.03421 0.992298 0.963988 0.918096 0.938485 \n", " 6 1.03871 1.02924 1.01088 0.981235 0.974399 0.909625 0.904348 \n", " 7 1.02536 0.994924 0.953581 0.925485 0.899833 0.800225 0.740977 \n", " 8 1.00659 0.980052 0.97404 0.925213 0.928676 0.875451 0.853034 \n", " 9 0.996614 0.940094 0.897937 0.834482 0.824544 0.788809 0.782914 \n", " 10 1.03479 1.00265 0.984055 0.916893 0.885335 0.819154 0.81659 \n", " 11 1.0079 0.982591 0.937149 0.87082 0.860493 0.795202 0.823783 \n", " 12 0.906831 0.873804 0.842924 0.791701 0.758187 0.695876 0.677881 \n", " 13 1.01921 0.977757 0.9555 0.89989 0.858296 0.824845 0.841779 \n", " 14 1.00183 0.956391 0.921063 0.87805 0.845702 0.797781 0.806997 \n", " 15 1.04068 1.00786 0.974264 0.929938 0.889166 0.821646 0.803537 \n", " 16 1.06849 1.01222 0.953054 0.888594 0.84832 0.805124 0.78656 \n", " 17 1.03066 1.00644 0.962529 0.913358 0.87212 0.786559 0.743029 \n", " 18 1.05894 0.981778 0.895626 0.835306 0.819811 0.774873 0.734375 \n", " 19 1.04362 1.02455 0.989114 0.925257 0.910805 0.880229 0.863213 \n", " 20 1.01972 0.940376 0.874682 0.809027 0.778853 0.714081 0.679213 \n", " 21 0.991487 0.918551 0.877175 0.811846 0.770988 0.728577 0.708464 \n", " 22 0.985203 0.887236 0.825504 0.738418 0.694675 0.616901 0.586747 \n", " 23 0.984284 0.908128 0.841996 0.778875 0.755575 0.685424 0.658855 \n", " 24 0.695317 0.666813 0.63181 0.585255 0.575874 0.553436 0.50882 \n", " 25 0.991622 0.944381 0.879124 0.800365 0.74404 0.678172 0.644365 \n", " 26 0.995411 0.94306 0.874663 0.818783 0.797207 0.723255 0.667109 \n", " 27 1.02003 0.948781 0.871066 0.773844 0.717896 0.639141 0.581771 \n", " 28 0.943603 0.845131 0.783524 0.696589 0.671381 0.623204 0.576984 \n", " 29 0.985075 0.889122 0.81324 0.733937 0.712988 0.643593 0.591914 \n", " 30 0.953708 0.843622 0.768194 0.68688 0.638696 0.583302 0.547146 \n", " 31 0.955476 0.836296 0.797036 0.721281 0.685851 0.626871 0.572858 \n", " 32 0.985688 0.88142 0.802004 0.735479 0.700187 0.630629 0.58221 \n", " 33 0.961763 0.902908 0.816466 0.729118 0.683513 0.606645 0.572617 \n", " 34 0.97506 0.820314 0.697029 0.585984 0.53313 0.475949 0.436315 \n", " 35 1.01828 0.843664 0.72766 0.640264 0.567871 0.518763 0.485588 \n", " 36 0.844925 0.728345 0.66389 0.578011 0.527836 0.452901 0.399571 \n", " 37 0.697194 0.566512 0.454577 0.379456 0.331564 0.2893 0.260048 \n", " 38 1.34852 1.03588 0.88011 0.706059 0.567103 0.46308 0.412857 \n", " \n", " 7 8 9 10 11 \n", " 0 0.356809 0.349896 0.352355 0.542689 0.704964 \n", " 1 0.752503 0.730667 0.699383 0.717712 0.771525 \n", " 2 0.747153 0.763647 0.735423 0.710045 0.682483 \n", " 3 0.818258 0.782608 0.736561 0.703376 0.654189 \n", " 4 0.827888 0.819034 0.769631 0.714346 0.6714 \n", " 5 0.881408 0.827155 0.776968 0.776299 0.718515 \n", " 6 0.893859 0.895464 0.865493 0.829787 0.747983 \n", " 7 0.703694 0.69393 0.714843 0.675099 0.623593 \n", " 8 0.847131 0.796805 0.767667 0.7248 0.686186 \n", " 9 0.763599 0.704218 0.654855 0.62453 0.592017 \n", " 10 0.798022 0.761811 0.736557 0.71369 0.663575 \n", " 11 0.919007 0.882209 0.87196 0.866738 0.81346 \n", " 12 0.669585 0.658222 0.637209 0.637849 0.634487 \n", " 13 0.828963 0.823282 0.805112 0.760347 0.700942 \n", " 14 0.780994 0.749961 0.713669 0.70603 0.676351 \n", " 15 0.806078 0.789355 0.77103 0.740371 0.68348 \n", " 16 0.761041 0.735358 0.714434 0.675315 0.604811 \n", " 17 0.686441 0.629573 0.590241 0.550707 0.521256 \n", " 18 0.706882 0.647882 0.612365 0.577229 0.550956 \n", " 19 0.803438 0.741728 0.704181 0.643931 0.598556 \n", " 20 0.671194 0.654522 0.644408 0.609863 0.567078 \n", " 21 0.671779 0.670955 0.65562 0.625691 0.570316 \n", " 22 0.553569 0.543052 0.526143 0.492942 0.451922 \n", " 23 0.670318 0.61275 0.583766 0.558093 0.522318 \n", " 24 0.487441 0.473525 0.458689 0.53184 0.615719 \n", " 25 0.619557 0.582254 0.566693 0.544437 0.500093 \n", " 26 0.620602 0.580463 0.553984 0.530475 0.512015 \n", " 27 0.546826 0.523739 0.513273 0.471946 0.437576 \n", " 28 0.530492 0.498994 0.473231 0.431595 0.40384 \n", " 29 0.550501 0.51981 0.507551 0.460601 0.434227 \n", " 30 0.511246 0.475577 0.440327 0.40684 0.386389 \n", " 31 0.59943 0.505184 0.462034 0.430562 0.412143 \n", " 32 0.553021 0.510159 0.468476 0.427132 0.404105 \n", " 33 0.571117 0.543045 0.492408 0.461825 0.43963 \n", " 34 0.397356 0.360937 0.333264 0.296402 0.279849 \n", " 35 0.463834 0.435087 0.408277 0.367086 0.353666 \n", " 36 0.362473 0.337468 0.313428 0.303787 0.309246 \n", " 37 0.242721 0.222799 0.203424 0.212127 0.241742 \n", " 38 0.38724 0.37003 0.337947 0.304828 0.303227 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.26161 0.568367 0.545008 0.517631 0.479857 0.45653 0.43551 \n", " 1 1.00572 0.936106 0.912604 0.88555 0.851908 0.805611 0.780696 \n", " 2 0.968379 0.94429 0.923942 0.873079 0.982888 0.921597 0.762824 \n", " 3 0.891833 0.924108 0.902567 0.881889 0.818143 0.781474 0.740924 \n", " 4 0.91642 0.966765 0.936152 0.930045 0.878052 0.863735 0.794471 \n", " 5 0.911584 0.950219 0.944224 0.942774 0.904563 0.878756 0.836922 \n", " 6 0.870237 0.903922 0.895679 0.879701 0.853907 0.847958 0.791589 \n", " 7 0.912821 0.935968 0.908187 0.870448 0.844802 0.821386 0.730462 \n", " 8 0.918303 0.924355 0.899985 0.894465 0.849627 0.852807 0.803929 \n", " 9 0.903658 0.900599 0.849524 0.811428 0.754086 0.745106 0.712814 \n", " 10 0.908338 0.939937 0.910749 0.893854 0.832848 0.804183 0.744069 \n", " 11 0.92728 0.93461 0.911137 0.869 0.807494 0.797918 0.737375 \n", " 12 0.996713 0.90385 0.870932 0.840153 0.789098 0.755695 0.693589 \n", " 13 0.925088 0.942863 0.904511 0.883922 0.832477 0.794 0.763054 \n", " 14 0.956389 0.958135 0.914682 0.880895 0.839758 0.80882 0.762989 \n", " 15 0.907363 0.944276 0.914496 0.884011 0.843792 0.806797 0.745532 \n", " 16 0.904056 0.965975 0.915104 0.861614 0.803338 0.766929 0.727877 \n", " 17 0.916269 0.944363 0.922167 0.881935 0.836882 0.799096 0.7207 \n", " 18 0.912426 0.966208 0.8958 0.817192 0.762155 0.748017 0.707014 \n", " 19 0.867489 0.905332 0.888783 0.858046 0.802651 0.790113 0.763589 \n", " 20 0.904032 0.921862 0.85013 0.790741 0.731386 0.704109 0.645552 \n", " 21 0.909164 0.901424 0.835114 0.797496 0.738101 0.700955 0.662396 \n", " 22 0.929477 0.915723 0.824665 0.767286 0.686343 0.645684 0.573396 \n", " 23 0.911591 0.897265 0.827841 0.767556 0.710016 0.688775 0.624826 \n", " 24 1.13163 0.786845 0.754589 0.714979 0.662295 0.651679 0.626288 \n", " 25 0.924084 0.916342 0.872688 0.812384 0.739605 0.687556 0.626687 \n", " 26 0.928703 0.924441 0.875822 0.812302 0.760407 0.740368 0.671689 \n", " 27 0.968769 0.988171 0.919149 0.843862 0.749676 0.695475 0.61918 \n", " 28 0.954369 0.900546 0.806566 0.747771 0.664802 0.640745 0.594766 \n", " 29 0.89003 0.876746 0.791345 0.723807 0.653225 0.63458 0.572817 \n", " 30 0.889235 0.848071 0.750179 0.683105 0.610798 0.567951 0.518693 \n", " 31 0.902617 0.862429 0.754855 0.719418 0.651041 0.619061 0.565824 \n", " 32 0.889191 0.876465 0.783751 0.713135 0.653981 0.622599 0.560749 \n", " 33 0.857957 0.825152 0.774657 0.700493 0.625552 0.586425 0.520475 \n", " 34 0.824866 0.804295 0.676649 0.574955 0.483358 0.439761 0.392594 \n", " 35 0.809294 0.824089 0.682772 0.588891 0.518162 0.459574 0.419832 \n", " 36 0.703647 0.594529 0.512497 0.467144 0.406715 0.37141 0.318682 \n", " 37 2.24609 1.56596 1.27244 1.02102 0.852294 0.744722 0.649793 \n", " \n", " 7 8 9 10 11 \n", " 0 0.424116 0.450154 0.441432 0.444535 0.684662 \n", " 1 0.795778 0.75681 0.734849 0.703385 0.72182 \n", " 2 0.706228 0.723527 0.7395 0.712169 0.687593 \n", " 3 0.743629 0.72975 0.697956 0.65689 0.627294 \n", " 4 0.7715 0.758693 0.750579 0.705305 0.654641 \n", " 5 0.855508 0.803478 0.754022 0.708272 0.707662 \n", " 6 0.786997 0.777869 0.779266 0.753184 0.722111 \n", " 7 0.676379 0.642346 0.633433 0.652523 0.616244 \n", " 8 0.783344 0.777923 0.731709 0.704951 0.665587 \n", " 9 0.707487 0.690032 0.636372 0.591765 0.564361 \n", " 10 0.74174 0.724873 0.691982 0.669043 0.648272 \n", " 11 0.763878 0.852177 0.818055 0.808551 0.803709 \n", " 12 0.675653 0.667384 0.656058 0.635114 0.635752 \n", " 13 0.77872 0.766864 0.761609 0.7448 0.703388 \n", " 14 0.771803 0.746934 0.717254 0.682545 0.675239 \n", " 15 0.7291 0.731406 0.716232 0.699604 0.671786 \n", " 16 0.711094 0.688024 0.664804 0.645888 0.610523 \n", " 17 0.680814 0.628964 0.576858 0.540819 0.504596 \n", " 18 0.670063 0.644978 0.591144 0.558738 0.526679 \n", " 19 0.748828 0.696974 0.643441 0.610869 0.558603 \n", " 20 0.61403 0.606781 0.591709 0.582565 0.551336 \n", " 21 0.64411 0.610757 0.610008 0.596066 0.568856 \n", " 22 0.545368 0.514529 0.504754 0.489037 0.458178 \n", " 23 0.600606 0.611055 0.558577 0.532155 0.508753 \n", " 24 0.575799 0.551606 0.535857 0.519069 0.601848 \n", " 25 0.595447 0.572522 0.538051 0.523672 0.503106 \n", " 26 0.619546 0.576355 0.539077 0.514486 0.492654 \n", " 27 0.563602 0.529748 0.507382 0.497242 0.457207 \n", " 28 0.550655 0.506285 0.476224 0.451637 0.411901 \n", " 29 0.526821 0.489962 0.462646 0.451735 0.409949 \n", " 30 0.486541 0.454618 0.4229 0.391554 0.361776 \n", " 31 0.517071 0.541056 0.455988 0.417039 0.388632 \n", " 32 0.517696 0.491741 0.453629 0.416565 0.379802 \n", " 33 0.491281 0.489994 0.465909 0.422465 0.396226 \n", " 34 0.359901 0.327765 0.297725 0.274898 0.244492 \n", " 35 0.392983 0.375378 0.352113 0.330416 0.297081 \n", " 36 0.281157 0.255053 0.237458 0.220542 0.213759 \n", " 37 0.584092 0.545174 0.500427 0.456909 0.476457 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.4091 1.77774 0.800888 0.767973 0.729396 0.676168 0.643298 \n", " 1 0.997316 1.00302 0.933593 0.910154 0.883173 0.849621 0.803449 \n", " 2 0.964279 0.933788 0.910559 0.890938 0.841892 0.947778 0.888677 \n", " 3 0.916969 0.817784 0.847379 0.827627 0.808665 0.750213 0.716588 \n", " 4 0.90334 0.827839 0.873317 0.845663 0.840146 0.79318 0.780246 \n", " 5 0.929648 0.847453 0.883369 0.877796 0.876448 0.840926 0.816934 \n", " 6 0.973927 0.847547 0.880354 0.872326 0.856764 0.831643 0.825849 \n", " 7 0.972734 0.887932 0.910448 0.883424 0.846715 0.821768 0.79899 \n", " 8 1.01308 0.930315 0.936446 0.911757 0.906165 0.86074 0.863962 \n", " 9 0.935838 0.845677 0.842814 0.795016 0.759365 0.705702 0.697298 \n", " 10 0.944703 0.85811 0.887962 0.860387 0.844427 0.786794 0.759714 \n", " 11 0.922222 0.855158 0.861917 0.84027 0.801411 0.744689 0.735857 \n", " 12 1.01879 1.01544 0.92083 0.887293 0.855937 0.803923 0.769891 \n", " 13 0.947021 0.876078 0.892911 0.856591 0.837092 0.788373 0.751934 \n", " 14 0.959964 0.918099 0.919775 0.878061 0.845627 0.806137 0.776438 \n", " 15 0.941064 0.853887 0.888625 0.860599 0.831912 0.794062 0.759248 \n", " 16 0.931105 0.841771 0.899425 0.852058 0.802254 0.747993 0.714091 \n", " 17 0.950042 0.870493 0.897184 0.876097 0.837875 0.795072 0.759174 \n", " 18 0.920297 0.839703 0.889199 0.824402 0.752059 0.701409 0.688397 \n", " 19 0.919097 0.797307 0.832088 0.816878 0.788627 0.737714 0.726191 \n", " 20 0.92572 0.836881 0.853386 0.786982 0.732005 0.677059 0.651807 \n", " 21 0.928868 0.844494 0.837304 0.775711 0.740769 0.685599 0.651095 \n", " 22 0.915646 0.851071 0.838478 0.755101 0.702562 0.628447 0.591218 \n", " 23 0.89564 0.816457 0.803626 0.741448 0.687454 0.635918 0.616895 \n", " 24 1.04805 1.18601 0.824651 0.790845 0.749332 0.694117 0.68299 \n", " 25 0.943885 0.872229 0.864921 0.823716 0.766797 0.698101 0.648973 \n", " 26 0.898202 0.834163 0.830335 0.786666 0.729612 0.682999 0.665 \n", " 27 0.915694 0.887095 0.904862 0.841659 0.772719 0.686473 0.636842 \n", " 28 0.86471 0.825252 0.778711 0.697446 0.646605 0.574861 0.554059 \n", " 29 0.900954 0.801876 0.789908 0.712966 0.652117 0.588526 0.571727 \n", " 30 0.829207 0.73736 0.703226 0.622053 0.566435 0.506478 0.470949 \n", " 31 0.909059 0.820532 0.783998 0.686208 0.653993 0.591834 0.562763 \n", " 32 0.843829 0.750325 0.739587 0.661352 0.601764 0.551848 0.525368 \n", " 33 0.854811 0.733391 0.705349 0.662185 0.598789 0.534729 0.501282 \n", " 34 0.94733 0.781421 0.761933 0.64101 0.544673 0.4579 0.416599 \n", " 35 0.906319 0.733478 0.746888 0.618809 0.533723 0.46962 0.416521 \n", " 36 2.47236 1.73967 1.46989 1.26708 1.15495 1.00555 0.918259 \n", " \n", " 7 8 9 10 11 \n", " 0 0.613679 0.597624 0.634314 0.622024 0.626396 \n", " 1 0.7786 0.793642 0.754778 0.732876 0.701497 \n", " 2 0.735576 0.681001 0.697682 0.713084 0.68673 \n", " 3 0.679405 0.681885 0.669159 0.640004 0.602348 \n", " 4 0.717677 0.696927 0.685358 0.678028 0.63713 \n", " 5 0.778043 0.795321 0.746951 0.700975 0.658443 \n", " 6 0.77095 0.766478 0.757587 0.758948 0.733546 \n", " 7 0.710545 0.657937 0.624832 0.616162 0.634732 \n", " 8 0.814445 0.793591 0.788099 0.74128 0.714172 \n", " 9 0.667078 0.662093 0.645758 0.595541 0.553796 \n", " 10 0.702924 0.700724 0.68479 0.653717 0.632047 \n", " 11 0.680023 0.704464 0.785896 0.754428 0.745663 \n", " 12 0.706619 0.688346 0.679922 0.668383 0.647046 \n", " 13 0.722628 0.737464 0.726236 0.721259 0.705341 \n", " 14 0.732442 0.740904 0.71703 0.688539 0.655219 \n", " 15 0.701593 0.68613 0.6883 0.67402 0.658372 \n", " 16 0.67773 0.662104 0.640623 0.619003 0.60139 \n", " 17 0.684695 0.646802 0.597542 0.548039 0.513801 \n", " 18 0.650663 0.616657 0.593571 0.544028 0.514205 \n", " 19 0.701812 0.688245 0.640586 0.591385 0.561448 \n", " 20 0.5976 0.56842 0.561709 0.547757 0.539292 \n", " 21 0.615279 0.598294 0.567313 0.566618 0.553667 \n", " 22 0.525027 0.499364 0.471126 0.462176 0.447785 \n", " 23 0.559619 0.537927 0.547286 0.500284 0.47662 \n", " 24 0.65638 0.603465 0.578109 0.561604 0.544009 \n", " 25 0.591521 0.562033 0.540395 0.507858 0.494286 \n", " 26 0.603313 0.556478 0.517683 0.484201 0.462113 \n", " 27 0.566979 0.516086 0.485087 0.464606 0.455322 \n", " 28 0.514301 0.476157 0.43779 0.411796 0.390535 \n", " 29 0.516082 0.474642 0.441433 0.416823 0.406993 \n", " 30 0.430103 0.403443 0.376972 0.350671 0.324679 \n", " 31 0.514368 0.470048 0.491851 0.41452 0.379113 \n", " 32 0.473177 0.436847 0.414946 0.382785 0.35151 \n", " 33 0.444908 0.419952 0.418852 0.398264 0.361128 \n", " 34 0.371916 0.340946 0.310502 0.282044 0.26042 \n", " 35 0.380501 0.356168 0.340212 0.319127 0.299462 \n", " 36 0.787897 0.69512 0.630582 0.587082 0.54526 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.01649 1.43234 1.80706 0.814095 0.780637 0.741424 0.687318 \n", " 1 0.984323 0.981681 0.987299 0.918958 0.895886 0.869328 0.836302 \n", " 2 0.954763 0.920659 0.891547 0.869369 0.850635 0.803808 0.904904 \n", " 3 0.955051 0.875753 0.781025 0.80929 0.790426 0.772316 0.716491 \n", " 4 0.961889 0.868912 0.796289 0.840034 0.813434 0.808127 0.76295 \n", " 5 0.943967 0.877557 0.799967 0.833871 0.82861 0.827338 0.793806 \n", " 6 0.950103 0.925331 0.805257 0.836427 0.8288 0.814014 0.790147 \n", " 7 0.991694 0.964655 0.880557 0.902886 0.876087 0.839682 0.814943 \n", " 8 0.955837 0.968339 0.889229 0.89509 0.871491 0.866145 0.822727 \n", " 9 0.921494 0.862368 0.779286 0.776648 0.732603 0.69975 0.6503 \n", " 10 0.977084 0.923054 0.838445 0.867613 0.84067 0.825076 0.768764 \n", " 11 0.91462 0.843482 0.782144 0.788327 0.768528 0.732986 0.681107 \n", " 12 0.962313 0.980391 0.977169 0.886127 0.853854 0.823679 0.773625 \n", " 13 0.950855 0.900479 0.833023 0.849028 0.814494 0.795953 0.749629 \n", " 14 0.948738 0.910754 0.871036 0.872626 0.83305 0.802279 0.764813 \n", " 15 0.930756 0.875901 0.79476 0.827093 0.801007 0.774306 0.739078 \n", " 16 0.939321 0.874607 0.790694 0.844849 0.800356 0.753574 0.702606 \n", " 17 0.925456 0.879222 0.805603 0.830305 0.81079 0.775416 0.735805 \n", " 18 0.928176 0.854197 0.779392 0.825333 0.76519 0.698043 0.65103 \n", " 19 0.908977 0.835438 0.724734 0.756349 0.742523 0.716844 0.670565 \n", " 20 0.938486 0.868776 0.785401 0.800891 0.738572 0.686976 0.635411 \n", " 21 0.979124 0.909478 0.826865 0.819825 0.759517 0.725305 0.671287 \n", " 22 0.892458 0.817176 0.759546 0.748307 0.673896 0.627008 0.560862 \n", " 23 0.924047 0.827613 0.754445 0.742588 0.685132 0.635239 0.587618 \n", " 24 0.913679 0.957579 1.08363 0.753466 0.722579 0.684649 0.6342 \n", " 25 0.898832 0.848394 0.783987 0.777418 0.740383 0.689222 0.627476 \n", " 26 1.02853 0.923831 0.857964 0.854027 0.809112 0.75043 0.702487 \n", " 27 0.898325 0.822591 0.7969 0.81286 0.756083 0.694153 0.616676 \n", " 28 0.859008 0.742793 0.708898 0.668919 0.599112 0.555439 0.49381 \n", " 29 0.875221 0.788533 0.701818 0.691343 0.624002 0.570746 0.51509 \n", " 30 0.803262 0.66607 0.592293 0.564875 0.499672 0.454996 0.406834 \n", " 31 0.895166 0.813759 0.734512 0.701809 0.61427 0.585432 0.52979 \n", " 32 0.784407 0.661905 0.58856 0.580137 0.518769 0.472028 0.432874 \n", " 33 0.831194 0.710514 0.60959 0.586282 0.550404 0.49771 0.444463 \n", " 34 0.857404 0.812245 0.669993 0.653284 0.549605 0.467005 0.392605 \n", " 35 1.52347 1.38075 1.11743 1.13786 0.942735 0.81311 0.71545 \n", " \n", " 7 8 9 10 11 \n", " 0 0.653906 0.623799 0.607479 0.644774 0.632281 \n", " 1 0.790853 0.766395 0.781201 0.742946 0.721387 \n", " 2 0.848476 0.702301 0.650195 0.666122 0.680827 \n", " 3 0.684378 0.648866 0.651235 0.639081 0.611237 \n", " 4 0.75051 0.690325 0.670366 0.659238 0.652187 \n", " 5 0.771159 0.734447 0.750757 0.705098 0.661697 \n", " 6 0.784642 0.732482 0.728233 0.719786 0.721079 \n", " 7 0.792354 0.704644 0.652472 0.619642 0.611045 \n", " 8 0.825806 0.778476 0.758543 0.753294 0.708542 \n", " 9 0.642556 0.614708 0.610114 0.595062 0.548787 \n", " 10 0.742305 0.686816 0.684666 0.669097 0.638737 \n", " 11 0.67303 0.621963 0.644317 0.718796 0.690015 \n", " 12 0.740877 0.679989 0.662404 0.654298 0.643194 \n", " 13 0.71498 0.687114 0.701221 0.690545 0.685813 \n", " 14 0.736636 0.694895 0.702923 0.680273 0.653243 \n", " 15 0.706674 0.653012 0.638619 0.640639 0.627348 \n", " 16 0.670761 0.636607 0.621928 0.601751 0.581443 \n", " 17 0.702583 0.633655 0.598587 0.552999 0.507186 \n", " 18 0.638954 0.60393 0.572366 0.550938 0.504954 \n", " 19 0.660091 0.637932 0.625599 0.582279 0.537556 \n", " 20 0.611712 0.56084 0.533455 0.527157 0.514062 \n", " 21 0.637503 0.602435 0.585804 0.55547 0.554789 \n", " 22 0.527637 0.468565 0.445661 0.420461 0.412473 \n", " 23 0.570039 0.517114 0.497069 0.505718 0.462286 \n", " 24 0.624034 0.59972 0.551373 0.528206 0.513126 \n", " 25 0.583318 0.531678 0.505173 0.485724 0.456479 \n", " 26 0.683975 0.620527 0.572356 0.532454 0.498016 \n", " 27 0.572091 0.509332 0.463614 0.435766 0.417368 \n", " 28 0.475941 0.441788 0.409023 0.376065 0.353736 \n", " 29 0.500388 0.451685 0.415416 0.386351 0.364812 \n", " 30 0.378295 0.345486 0.324071 0.302808 0.281681 \n", " 31 0.503766 0.460444 0.420771 0.440289 0.371064 \n", " 32 0.412102 0.371163 0.342666 0.325486 0.300259 \n", " 33 0.416663 0.369805 0.349062 0.348147 0.331035 \n", " 34 0.357193 0.318882 0.292328 0.266226 0.241825 \n", " 35 0.634556 0.579681 0.542611 0.518302 0.486179 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.957006 0.972787 1.37076 1.72936 0.779094 0.747074 0.709547 \n", " 1 0.978906 0.96356 0.960974 0.966474 0.899574 0.876989 0.850991 \n", " 2 0.99503 0.950018 0.916083 0.887116 0.865048 0.846408 0.799813 \n", " 3 0.969286 0.925717 0.848855 0.757037 0.784433 0.766148 0.748595 \n", " 4 0.977071 0.939834 0.848989 0.778031 0.820773 0.794783 0.789598 \n", " 5 0.939122 0.8865 0.824133 0.751267 0.783107 0.778166 0.776971 \n", " 6 0.921558 0.875576 0.852747 0.742092 0.770816 0.763788 0.750162 \n", " 7 0.998072 0.989782 0.962795 0.878859 0.901145 0.874398 0.838063 \n", " 8 0.944794 0.903069 0.914881 0.840139 0.845675 0.823379 0.818329 \n", " 9 0.974388 0.897893 0.840282 0.759328 0.756757 0.71384 0.681829 \n", " 10 0.967396 0.945227 0.892959 0.811108 0.839325 0.813261 0.798175 \n", " 11 0.929609 0.850239 0.784108 0.727088 0.732835 0.71443 0.68139 \n", " 12 0.956472 0.920425 0.937717 0.934634 0.847555 0.816687 0.787826 \n", " 13 0.93676 0.890723 0.843533 0.780342 0.795336 0.762985 0.745617 \n", " 14 0.943135 0.894788 0.858965 0.821505 0.823004 0.785679 0.756658 \n", " 15 0.941179 0.876008 0.82438 0.748012 0.778442 0.753891 0.728761 \n", " 16 0.935425 0.878665 0.81813 0.739635 0.790293 0.748674 0.704912 \n", " 17 0.969636 0.897356 0.852525 0.781142 0.805093 0.786171 0.751872 \n", " 18 0.93291 0.865905 0.796889 0.727103 0.769961 0.713853 0.651212 \n", " 19 0.877928 0.798016 0.733454 0.636264 0.66402 0.651882 0.629337 \n", " 20 0.891276 0.83645 0.774318 0.700009 0.713814 0.658271 0.612285 \n", " 21 0.937175 0.917611 0.85234 0.774917 0.76832 0.711801 0.679738 \n", " 22 0.895831 0.799492 0.732051 0.680424 0.670356 0.603697 0.561693 \n", " 23 0.928667 0.858132 0.768577 0.700628 0.689617 0.63626 0.589926 \n", " 24 0.872906 0.797555 0.835876 0.945907 0.657704 0.630743 0.597633 \n", " 25 0.867509 0.779745 0.735989 0.680116 0.674418 0.642289 0.597906 \n", " 26 0.983572 1.01164 0.908654 0.843869 0.839996 0.795819 0.738101 \n", " 27 0.930491 0.835884 0.765414 0.741509 0.756359 0.703529 0.645903 \n", " 28 0.80217 0.68907 0.595846 0.568657 0.536586 0.480589 0.445556 \n", " 29 1.00513 0.879714 0.792582 0.705422 0.694893 0.627206 0.573677 \n", " 30 0.815556 0.655105 0.543218 0.483048 0.460687 0.40751 0.371075 \n", " 31 0.858003 0.768055 0.698207 0.630214 0.602154 0.527045 0.502303 \n", " 32 0.847946 0.665134 0.56126 0.499067 0.491925 0.439888 0.400254 \n", " 33 0.763852 0.634909 0.542727 0.465637 0.447832 0.420427 0.380176 \n", " 34 1.47589 1.26543 1.19878 0.988833 0.964172 0.811154 0.689245 \n", " \n", " 7 8 9 10 11 \n", " 0 0.657768 0.625792 0.596979 0.581361 0.617053 \n", " 1 0.818661 0.774171 0.750229 0.764722 0.727275 \n", " 2 0.900407 0.844259 0.69881 0.646963 0.662811 \n", " 3 0.694485 0.663358 0.628937 0.631233 0.619452 \n", " 4 0.745457 0.733302 0.674497 0.654995 0.644122 \n", " 5 0.745481 0.724212 0.689735 0.705053 0.662173 \n", " 6 0.728166 0.723093 0.675025 0.671109 0.663325 \n", " 7 0.813371 0.790826 0.703285 0.651214 0.618447 \n", " 8 0.777308 0.780217 0.7355 0.716667 0.711708 \n", " 9 0.633645 0.626099 0.598964 0.594488 0.579822 \n", " 10 0.743699 0.718102 0.664423 0.662343 0.647282 \n", " 11 0.633163 0.625654 0.578182 0.598963 0.668199 \n", " 12 0.739951 0.708628 0.65039 0.633571 0.625817 \n", " 13 0.702222 0.669765 0.643661 0.656876 0.646875 \n", " 14 0.721322 0.694748 0.65538 0.662952 0.64159 \n", " 15 0.695605 0.665107 0.614601 0.601055 0.602956 \n", " 16 0.657235 0.627447 0.595498 0.581767 0.562893 \n", " 17 0.713463 0.681249 0.614415 0.580411 0.536208 \n", " 18 0.607353 0.596086 0.563412 0.533966 0.513976 \n", " 19 0.588708 0.579512 0.560058 0.549231 0.511199 \n", " 20 0.566326 0.545204 0.499863 0.475455 0.469842 \n", " 21 0.629113 0.597452 0.564587 0.549001 0.520573 \n", " 22 0.502438 0.472674 0.419755 0.399237 0.376662 \n", " 23 0.545702 0.529377 0.480227 0.461612 0.469643 \n", " 24 0.553596 0.544723 0.523499 0.481296 0.461074 \n", " 25 0.544341 0.506034 0.461235 0.438243 0.42137 \n", " 26 0.690946 0.672738 0.610333 0.562953 0.523707 \n", " 27 0.573812 0.532326 0.473929 0.431388 0.405476 \n", " 28 0.39612 0.381785 0.354389 0.328106 0.301668 \n", " 29 0.517735 0.502957 0.454004 0.417549 0.388335 \n", " 30 0.331796 0.308521 0.281763 0.264298 0.246957 \n", " 31 0.454561 0.432233 0.395063 0.361023 0.377769 \n", " 32 0.367053 0.34944 0.314726 0.290562 0.275995 \n", " 33 0.339504 0.318269 0.282476 0.266632 0.265933 \n", " 34 0.579441 0.527177 0.470634 0.431443 0.392918 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.986869 0.944439 0.960013 1.35276 1.70666 0.768863 0.737264 \n", " 1 0.975083 0.954516 0.939552 0.93703 0.942393 0.877159 0.855137 \n", " 2 0.978652 0.973788 0.929737 0.896526 0.868178 0.846581 0.828339 \n", " 3 0.991805 0.961343 0.918131 0.841899 0.750833 0.778005 0.75987 \n", " 4 0.944959 0.923292 0.888104 0.80226 0.735207 0.775596 0.751037 \n", " 5 0.962124 0.903552 0.852923 0.792919 0.722812 0.753446 0.748693 \n", " 6 0.923212 0.850794 0.808342 0.787266 0.685108 0.711627 0.705138 \n", " 7 0.961645 0.95979 0.951819 0.925867 0.84515 0.866582 0.84086 \n", " 8 0.953325 0.900696 0.860918 0.87218 0.800926 0.806204 0.784948 \n", " 9 0.957414 0.932893 0.859655 0.804498 0.726991 0.72453 0.68344 \n", " 10 0.971008 0.939349 0.917823 0.86707 0.787592 0.814991 0.789683 \n", " 11 0.975077 0.90644 0.829048 0.764566 0.708967 0.714571 0.696624 \n", " 12 0.96222 0.920336 0.885651 0.902289 0.899324 0.815534 0.785832 \n", " 13 0.959323 0.898656 0.854491 0.809221 0.7486 0.762984 0.731949 \n", " 14 0.952931 0.898743 0.852672 0.818535 0.782837 0.784267 0.748698 \n", " 15 0.959217 0.902795 0.840281 0.790759 0.717506 0.746695 0.723145 \n", " 16 0.926129 0.866325 0.813758 0.757694 0.684998 0.731914 0.693369 \n", " 17 0.971875 0.942365 0.872117 0.828548 0.759172 0.78245 0.76406 \n", " 18 0.961422 0.896921 0.8325 0.766147 0.699053 0.740258 0.686314 \n", " 19 0.911807 0.800501 0.727637 0.668769 0.58015 0.605458 0.59439 \n", " 20 0.950309 0.846987 0.794886 0.735842 0.665225 0.678344 0.625561 \n", " 21 0.922597 0.864635 0.846585 0.786366 0.714936 0.70885 0.656705 \n", " 22 0.896586 0.803189 0.716813 0.656346 0.610059 0.601032 0.541266 \n", " 23 0.930004 0.863664 0.798066 0.71478 0.651587 0.641347 0.591725 \n", " 24 0.971341 0.847889 0.774698 0.811921 0.918798 0.638855 0.612666 \n", " 25 0.90156 0.782112 0.702987 0.663539 0.613165 0.608028 0.579062 \n", " 26 1.02734 1.01046 1.03929 0.933497 0.866941 0.862962 0.817577 \n", " 27 0.939614 0.874303 0.785408 0.719193 0.696732 0.710686 0.661046 \n", " 28 0.787185 0.631456 0.542426 0.469041 0.447638 0.422393 0.378313 \n", " 29 1.01946 1.02469 0.89683 0.808003 0.719147 0.708413 0.639409 \n", " 30 0.895654 0.730456 0.586748 0.486535 0.432644 0.412616 0.364988 \n", " 31 0.837865 0.718891 0.643527 0.585004 0.528034 0.504524 0.441593 \n", " 32 0.836779 0.709544 0.556571 0.469651 0.417609 0.411632 0.368089 \n", " 33 1.14427 0.87405 0.726505 0.621024 0.532812 0.512439 0.481081 \n", " \n", " 7 8 9 10 11 \n", " 0 0.70023 0.649131 0.617574 0.58914 0.573727 \n", " 1 0.829787 0.798263 0.754882 0.731535 0.745668 \n", " 2 0.782739 0.881185 0.826236 0.683892 0.633152 \n", " 3 0.742461 0.688794 0.657922 0.623783 0.62606 \n", " 4 0.746137 0.704426 0.69294 0.637372 0.618943 \n", " 5 0.747543 0.717245 0.696782 0.663611 0.678348 \n", " 6 0.692558 0.672252 0.667568 0.623191 0.619576 \n", " 7 0.805919 0.782174 0.760494 0.67631 0.626236 \n", " 8 0.780134 0.741027 0.743801 0.701171 0.683217 \n", " 9 0.652792 0.606661 0.599436 0.573457 0.569172 \n", " 10 0.775034 0.722138 0.697283 0.64516 0.64314 \n", " 11 0.664408 0.617383 0.610061 0.563772 0.584035 \n", " 12 0.758062 0.711995 0.681855 0.625818 0.609634 \n", " 13 0.715288 0.673658 0.642521 0.617479 0.630156 \n", " 14 0.721043 0.687371 0.662047 0.624533 0.631748 \n", " 15 0.69904 0.667236 0.637982 0.589536 0.576542 \n", " 16 0.65284 0.608685 0.581097 0.551508 0.538792 \n", " 17 0.730725 0.693396 0.662089 0.597134 0.564087 \n", " 18 0.626089 0.583923 0.573091 0.541677 0.513367 \n", " 19 0.573834 0.536788 0.528403 0.510665 0.500793 \n", " 20 0.58186 0.538185 0.518113 0.475024 0.451829 \n", " 21 0.627124 0.580418 0.551207 0.520886 0.506507 \n", " 22 0.503606 0.450478 0.423792 0.376346 0.35795 \n", " 23 0.548634 0.507505 0.492323 0.446613 0.429301 \n", " 24 0.580506 0.537731 0.529111 0.508496 0.467503 \n", " 25 0.539048 0.490756 0.45622 0.415831 0.395102 \n", " 26 0.758281 0.709837 0.691131 0.62702 0.578344 \n", " 27 0.6069 0.539162 0.500181 0.44531 0.405339 \n", " 28 0.350735 0.31182 0.300536 0.27897 0.25828 \n", " 29 0.584839 0.527808 0.512743 0.462838 0.425673 \n", " 30 0.332355 0.297175 0.276328 0.252362 0.236719 \n", " 31 0.420862 0.380861 0.362153 0.331009 0.302488 \n", " 32 0.334924 0.307143 0.292404 0.263356 0.243136 \n", " 33 0.435023 0.388483 0.364184 0.323228 0.305097 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.983481 0.970567 0.928839 0.944155 1.33041 1.67846 0.756162 \n", " 1 1.00035 0.975423 0.954848 0.939879 0.937356 0.94272 0.877464 \n", " 2 0.974719 0.953911 0.94917 0.906233 0.873861 0.846229 0.825178 \n", " 3 0.958213 0.950361 0.921171 0.879766 0.806718 0.719458 0.745495 \n", " 4 0.951092 0.898742 0.878135 0.844668 0.763022 0.699249 0.737663 \n", " 5 0.960997 0.924599 0.868311 0.819657 0.761993 0.694621 0.72406 \n", " 6 1.06424 0.98252 0.90545 0.860271 0.837841 0.72912 0.757343 \n", " 7 0.956736 0.920041 0.918267 0.91064 0.88581 0.808586 0.82909 \n", " 8 0.973057 0.92764 0.876429 0.837723 0.848681 0.779346 0.784482 \n", " 9 0.929986 0.890382 0.867578 0.799467 0.748172 0.676092 0.673802 \n", " 10 0.955744 0.928034 0.897777 0.877203 0.828696 0.752736 0.778923 \n", " 11 0.967549 0.943435 0.877025 0.802145 0.739756 0.685961 0.691383 \n", " 12 0.938089 0.902647 0.863357 0.83082 0.846427 0.843645 0.765044 \n", " 13 0.987866 0.947683 0.887752 0.844123 0.799402 0.739517 0.753726 \n", " 14 0.958255 0.913151 0.861226 0.817077 0.784365 0.750158 0.751528 \n", " 15 0.939042 0.900745 0.847762 0.789059 0.742556 0.673768 0.701178 \n", " 16 0.950361 0.880158 0.823322 0.773364 0.720083 0.650995 0.695583 \n", " 17 0.949081 0.922388 0.894381 0.82771 0.786359 0.720516 0.742608 \n", " 18 0.933721 0.8977 0.837474 0.777323 0.715368 0.65272 0.691194 \n", " 19 0.93243 0.850196 0.746411 0.678471 0.62358 0.540949 0.564547 \n", " 20 0.956435 0.908909 0.810088 0.760257 0.703785 0.636244 0.648792 \n", " 21 0.943935 0.870872 0.816159 0.799121 0.742279 0.674853 0.669108 \n", " 22 0.919139 0.824087 0.738242 0.658851 0.603274 0.560729 0.552432 \n", " 23 0.95519 0.888331 0.824964 0.762305 0.682751 0.62239 0.612608 \n", " 24 0.945036 0.917952 0.801286 0.732118 0.767294 0.868297 0.603741 \n", " 25 0.925644 0.834523 0.723957 0.650715 0.6142 0.567573 0.562817 \n", " 26 0.964807 0.991186 0.974902 1.00272 0.900644 0.836431 0.832592 \n", " 27 0.920199 0.864632 0.804533 0.722732 0.661801 0.641132 0.653972 \n", " 28 0.881763 0.69411 0.556794 0.478291 0.413583 0.39471 0.37245 \n", " 29 1.00564 1.0252 1.03047 0.901886 0.812558 0.723201 0.712407 \n", " 30 0.908693 0.813875 0.66376 0.533174 0.442111 0.393141 0.374942 \n", " 31 0.813193 0.681346 0.584597 0.523311 0.475721 0.429394 0.410275 \n", " 32 1.53608 1.28536 1.08991 0.854935 0.72142 0.64148 0.632299 \n", " \n", " 7 8 9 10 11 \n", " 0 0.725086 0.688663 0.638408 0.607373 0.579408 \n", " 1 0.855434 0.830076 0.798541 0.755144 0.73179 \n", " 2 0.807398 0.76295 0.858908 0.805348 0.666603 \n", " 3 0.728117 0.711436 0.660011 0.630429 0.597717 \n", " 4 0.714305 0.709645 0.669974 0.659049 0.606199 \n", " 5 0.719492 0.718387 0.689271 0.669606 0.637728 \n", " 6 0.750437 0.737049 0.715438 0.710454 0.663226 \n", " 7 0.804481 0.771052 0.748334 0.727592 0.647051 \n", " 8 0.7638 0.759115 0.721062 0.72376 0.682279 \n", " 9 0.63559 0.607088 0.564186 0.557467 0.533307 \n", " 10 0.754734 0.740734 0.690179 0.666424 0.616607 \n", " 11 0.674018 0.642847 0.597348 0.590264 0.545477 \n", " 12 0.73718 0.711129 0.667915 0.639641 0.587073 \n", " 13 0.723068 0.706609 0.665484 0.634725 0.609987 \n", " 14 0.717444 0.690943 0.658676 0.63441 0.598462 \n", " 15 0.679064 0.656428 0.626562 0.599092 0.553599 \n", " 16 0.658951 0.620434 0.57847 0.552252 0.524132 \n", " 17 0.725155 0.693517 0.658089 0.628376 0.566729 \n", " 18 0.640826 0.584593 0.545221 0.535107 0.505775 \n", " 19 0.554228 0.535061 0.500517 0.492699 0.476159 \n", " 20 0.598309 0.556512 0.514739 0.495541 0.45433 \n", " 21 0.619887 0.591965 0.547877 0.520304 0.491683 \n", " 22 0.497499 0.462884 0.414052 0.389524 0.345915 \n", " 23 0.56521 0.52405 0.484764 0.470262 0.426601 \n", " 24 0.578992 0.548599 0.508175 0.500029 0.480547 \n", " 25 0.536005 0.498967 0.454265 0.422297 0.384912 \n", " 26 0.788804 0.731595 0.684856 0.666808 0.604953 \n", " 27 0.608294 0.558468 0.496136 0.460266 0.409774 \n", " 28 0.333582 0.309265 0.274951 0.265001 0.245985 \n", " 29 0.643014 0.588136 0.530784 0.515633 0.465447 \n", " 30 0.331662 0.302008 0.270041 0.251097 0.22932 \n", " 31 0.3591 0.342242 0.309714 0.2945 0.269174 \n", " 32 0.565413 0.51447 0.471795 0.449155 0.404536 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.956917 0.94111 0.928752 0.888821 0.903478 1.27309 1.60615 \n", " 1 0.944703 0.945031 0.921484 0.902047 0.887906 0.885523 0.89059 \n", " 2 0.931302 0.907758 0.888379 0.883964 0.843976 0.813829 0.788095 \n", " 3 0.933673 0.894658 0.887326 0.860073 0.821413 0.753211 0.671739 \n", " 4 0.913622 0.868939 0.821111 0.802284 0.771708 0.697114 0.63885 \n", " 5 0.92347 0.887452 0.853839 0.801859 0.756929 0.703677 0.641461 \n", " 6 0.957493 1.019 0.940756 0.866962 0.823703 0.802227 0.698127 \n", " 7 0.919753 0.879961 0.84621 0.844578 0.837563 0.814727 0.743699 \n", " 8 0.942618 0.917221 0.874411 0.826138 0.789653 0.799982 0.734626 \n", " 9 0.95836 0.891261 0.853306 0.831452 0.766178 0.717018 0.647939 \n", " 10 0.946131 0.904259 0.878042 0.849414 0.829949 0.784055 0.712187 \n", " 11 0.891733 0.862796 0.841293 0.782073 0.715299 0.659665 0.611694 \n", " 12 0.940725 0.882483 0.849143 0.812181 0.781572 0.796255 0.793638 \n", " 13 0.953112 0.941547 0.903248 0.846127 0.804543 0.761919 0.704843 \n", " 14 0.952644 0.912876 0.869908 0.820442 0.778384 0.747221 0.714634 \n", " 15 0.946635 0.88893 0.852676 0.802521 0.746951 0.702929 0.637812 \n", " 16 0.938802 0.892201 0.826294 0.772936 0.726036 0.676016 0.611156 \n", " 17 0.940221 0.892346 0.867249 0.840916 0.77823 0.739351 0.677444 \n", " 18 0.951517 0.888452 0.854177 0.796871 0.739636 0.680685 0.621074 \n", " 19 0.943351 0.879609 0.802034 0.704128 0.640036 0.588255 0.510305 \n", " 20 0.983868 0.941006 0.894247 0.79702 0.747993 0.692432 0.625981 \n", " 21 0.914037 0.862791 0.796009 0.746 0.730426 0.67847 0.616841 \n", " 22 0.933608 0.858116 0.769375 0.689229 0.615109 0.563221 0.523501 \n", " 23 0.937943 0.895914 0.833203 0.773769 0.714998 0.640381 0.583766 \n", " 24 1.01539 0.95958 0.932079 0.813617 0.743385 0.779103 0.88166 \n", " 25 0.845358 0.7825 0.705471 0.612003 0.550088 0.519219 0.479802 \n", " 26 0.9536 0.92004 0.945194 0.929666 0.956192 0.858854 0.79762 \n", " 27 0.826644 0.760678 0.714743 0.665062 0.597442 0.547074 0.529988 \n", " 28 0.7919 0.698268 0.549666 0.440926 0.378759 0.327516 0.312571 \n", " 29 0.818345 0.822958 0.83897 0.843278 0.738054 0.664953 0.591828 \n", " 30 0.827881 0.752289 0.673791 0.549514 0.441404 0.366015 0.325474 \n", " 31 1.20718 0.981674 0.822511 0.705717 0.631734 0.574283 0.518358 \n", " \n", " 7 8 9 10 11 \n", " 0 0.723585 0.693847 0.658993 0.610903 0.581205 \n", " 1 0.828943 0.808131 0.784175 0.754383 0.713387 \n", " 2 0.76849 0.751931 0.710537 0.799902 0.750022 \n", " 3 0.696048 0.679824 0.664248 0.616235 0.588615 \n", " 4 0.673946 0.652605 0.648347 0.612103 0.602122 \n", " 5 0.668647 0.664429 0.663408 0.636521 0.618361 \n", " 6 0.72515 0.718538 0.705719 0.685027 0.680254 \n", " 7 0.762558 0.739924 0.709178 0.688283 0.669205 \n", " 8 0.739468 0.719971 0.715556 0.679686 0.68223 \n", " 9 0.645745 0.609124 0.581809 0.540693 0.534254 \n", " 10 0.736963 0.714077 0.700831 0.652999 0.630524 \n", " 11 0.616529 0.601045 0.573248 0.532675 0.526358 \n", " 12 0.719695 0.693484 0.668977 0.628324 0.601726 \n", " 13 0.718386 0.689165 0.673477 0.634281 0.604964 \n", " 14 0.715938 0.683469 0.658223 0.627484 0.604367 \n", " 15 0.663759 0.642825 0.621397 0.593126 0.567121 \n", " 16 0.653015 0.618625 0.582465 0.543069 0.518456 \n", " 17 0.698216 0.681806 0.65206 0.618749 0.590813 \n", " 18 0.657683 0.609757 0.55625 0.518787 0.509163 \n", " 19 0.532566 0.522831 0.50475 0.472164 0.464788 \n", " 20 0.638326 0.588657 0.547534 0.506435 0.487547 \n", " 21 0.611589 0.5666 0.541077 0.50078 0.475577 \n", " 22 0.515755 0.464469 0.432152 0.386563 0.363663 \n", " 23 0.574591 0.530134 0.491528 0.454681 0.441079 \n", " 24 0.613033 0.587902 0.557042 0.515996 0.507725 \n", " 25 0.475782 0.453116 0.421805 0.384017 0.356992 \n", " 26 0.79396 0.752204 0.697649 0.653078 0.635868 \n", " 27 0.540603 0.502843 0.461655 0.410128 0.380476 \n", " 28 0.294943 0.264164 0.244907 0.217734 0.209855 \n", " 29 0.582995 0.526207 0.481298 0.434364 0.421966 \n", " 30 0.310407 0.274577 0.250027 0.223561 0.207879 \n", " 31 0.495278 0.4335 0.413149 0.373882 0.355516 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.981919 0.939615 0.924094 0.91196 0.872751 0.887143 1.25008 \n", " 1 0.937399 0.885563 0.885871 0.863798 0.845578 0.832322 0.830088 \n", " 2 0.962092 0.895998 0.873347 0.854703 0.850455 0.811983 0.782978 \n", " 3 0.916122 0.855358 0.819615 0.812899 0.787931 0.752514 0.690033 \n", " 4 0.953651 0.871277 0.828664 0.783053 0.765099 0.73594 0.664804 \n", " 5 0.953086 0.880146 0.845818 0.813782 0.76424 0.721418 0.670665 \n", " 6 0.989912 0.947834 1.00872 0.931266 0.858216 0.815394 0.794134 \n", " 7 0.980846 0.902136 0.863106 0.830002 0.828401 0.821521 0.799121 \n", " 8 0.950998 0.896428 0.872276 0.831562 0.785655 0.750958 0.760781 \n", " 9 0.966379 0.926139 0.861296 0.824617 0.803498 0.740418 0.692911 \n", " 10 0.984444 0.931412 0.890192 0.864383 0.836201 0.817038 0.771858 \n", " 11 0.949342 0.84656 0.819088 0.798674 0.742454 0.679064 0.626247 \n", " 12 0.985589 0.927168 0.869766 0.836906 0.800477 0.770309 0.78478 \n", " 13 0.8925 0.850652 0.840331 0.806149 0.755168 0.718055 0.680013 \n", " 14 0.926218 0.882356 0.845523 0.805725 0.759908 0.720953 0.692089 \n", " 15 0.957363 0.906273 0.851029 0.816321 0.768304 0.715103 0.672958 \n", " 16 0.933991 0.876833 0.833308 0.771751 0.721916 0.678111 0.631393 \n", " 17 0.968492 0.910596 0.864229 0.839923 0.81442 0.75371 0.716055 \n", " 18 0.947874 0.901919 0.842141 0.809653 0.755333 0.701082 0.645204 \n", " 19 0.954094 0.900045 0.83923 0.765215 0.671804 0.610654 0.561251 \n", " 20 0.91794 0.903133 0.863788 0.820865 0.731617 0.686613 0.635611 \n", " 21 0.959915 0.877397 0.828206 0.7641 0.716096 0.701147 0.651273 \n", " 22 0.975497 0.910732 0.83709 0.750523 0.672341 0.600037 0.549421 \n", " 23 0.95118 0.892152 0.852175 0.792526 0.735993 0.680092 0.609118 \n", " 24 0.938831 0.953279 0.900883 0.875065 0.763849 0.697913 0.731446 \n", " 25 0.830968 0.702466 0.650233 0.586224 0.508555 0.457105 0.431455 \n", " 26 0.904035 0.862088 0.831748 0.854489 0.840451 0.864431 0.776434 \n", " 27 0.787485 0.65097 0.599022 0.56285 0.523727 0.470477 0.430813 \n", " 28 0.819747 0.649158 0.572403 0.450587 0.361448 0.310486 0.268481 \n", " 29 0.826126 0.676056 0.679867 0.693095 0.696654 0.609725 0.549335 \n", " 30 1.88368 1.55946 1.41707 1.26921 1.03511 0.831465 0.689457 \n", " \n", " 7 8 9 10 11 \n", " 0 1.57711 0.710502 0.681302 0.647078 0.599858 \n", " 1 0.834838 0.77705 0.757541 0.735085 0.707158 \n", " 2 0.75822 0.739358 0.723427 0.683602 0.76958 \n", " 3 0.615394 0.637665 0.622801 0.608532 0.564546 \n", " 4 0.60924 0.642709 0.622357 0.618297 0.583733 \n", " 5 0.611367 0.637278 0.633258 0.632285 0.606659 \n", " 6 0.691085 0.717835 0.711289 0.6986 0.678117 \n", " 7 0.729454 0.747952 0.725751 0.695594 0.675099 \n", " 8 0.698628 0.703232 0.684691 0.680492 0.64638 \n", " 9 0.626155 0.624035 0.588644 0.562248 0.522515 \n", " 10 0.701108 0.725498 0.702969 0.689929 0.642841 \n", " 11 0.580707 0.585297 0.570597 0.544209 0.505691 \n", " 12 0.782201 0.709324 0.68349 0.659336 0.619269 \n", " 13 0.629072 0.641159 0.61508 0.601079 0.566096 \n", " 14 0.661907 0.663115 0.633041 0.609658 0.581187 \n", " 15 0.610618 0.635459 0.615417 0.594903 0.567837 \n", " 16 0.570814 0.60991 0.57779 0.544017 0.507222 \n", " 17 0.656099 0.676216 0.660323 0.631514 0.599254 \n", " 18 0.588701 0.623401 0.577973 0.527255 0.491745 \n", " 19 0.486879 0.508118 0.49883 0.481579 0.450488 \n", " 20 0.574613 0.585946 0.540352 0.502604 0.464877 \n", " 21 0.592114 0.587073 0.543887 0.519388 0.480706 \n", " 22 0.510674 0.503118 0.453088 0.421563 0.377091 \n", " 23 0.555266 0.54654 0.504253 0.467532 0.432483 \n", " 24 0.82773 0.575534 0.551941 0.522968 0.484433 \n", " 25 0.3987 0.39536 0.376525 0.350507 0.319106 \n", " 26 0.721077 0.717767 0.680019 0.630699 0.590406 \n", " 27 0.417358 0.425717 0.395981 0.363546 0.32297 \n", " 28 0.256229 0.241779 0.216547 0.200762 0.178487 \n", " 29 0.488924 0.481627 0.434713 0.397612 0.358839 \n", " 30 0.613089 0.584708 0.517216 0.470971 0.421119 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.944711 0.92763 0.887665 0.873002 0.861538 0.824498 0.838094 \n", " 1 0.948365 0.888997 0.839837 0.840129 0.819196 0.801917 0.789345 \n", " 2 0.951318 0.915255 0.852379 0.83083 0.813094 0.809053 0.772454 \n", " 3 0.95496 0.874859 0.816833 0.7827 0.776286 0.752443 0.718621 \n", " 4 0.958176 0.913766 0.834837 0.794006 0.750303 0.7331 0.70516 \n", " 5 0.946597 0.902188 0.833143 0.800648 0.770323 0.723427 0.682892 \n", " 6 1.03989 1.0294 0.985645 1.04896 0.968416 0.892452 0.847921 \n", " 7 0.958188 0.939834 0.864415 0.827018 0.795297 0.793764 0.787171 \n", " 8 0.963267 0.916065 0.8635 0.840234 0.801017 0.756796 0.723373 \n", " 9 0.957688 0.92549 0.886952 0.824853 0.789726 0.7695 0.709089 \n", " 10 0.932858 0.918346 0.868876 0.830422 0.806346 0.780056 0.76218 \n", " 11 0.932712 0.885463 0.789596 0.763974 0.744933 0.692496 0.633371 \n", " 12 0.925318 0.911984 0.857926 0.80481 0.774404 0.740696 0.712781 \n", " 13 0.920443 0.821496 0.782977 0.773477 0.742014 0.695089 0.660929 \n", " 14 0.914335 0.846874 0.806769 0.773091 0.736703 0.69481 0.659193 \n", " 15 0.923305 0.883938 0.836767 0.785759 0.753713 0.709379 0.660259 \n", " 16 0.927785 0.866543 0.813512 0.77313 0.716019 0.669782 0.629141 \n", " 17 0.936406 0.906901 0.852688 0.80927 0.786509 0.762627 0.705778 \n", " 18 0.948035 0.898618 0.855051 0.798379 0.767579 0.716083 0.66465 \n", " 19 0.900825 0.859471 0.810783 0.755999 0.689325 0.605177 0.550093 \n", " 20 0.877003 0.805037 0.79205 0.757545 0.719902 0.641631 0.602162 \n", " 21 0.922091 0.885129 0.80904 0.763681 0.70457 0.660306 0.646521 \n", " 22 1.04043 1.01494 0.947553 0.870933 0.780866 0.699524 0.624296 \n", " 23 0.92353 0.878444 0.82393 0.78701 0.731922 0.679712 0.628086 \n", " 24 0.923684 0.867183 0.880528 0.832131 0.808283 0.705555 0.64465 \n", " 25 0.869438 0.722476 0.610751 0.565338 0.509686 0.442157 0.397425 \n", " 26 0.84058 0.759914 0.724654 0.699151 0.718266 0.706466 0.726624 \n", " 27 0.818914 0.644883 0.533089 0.490548 0.460926 0.428887 0.38528 \n", " 28 0.835087 0.68456 0.542104 0.478007 0.37628 0.30184 0.259283 \n", " 29 1.78982 1.47862 1.21002 1.21684 1.24052 1.24688 1.0913 \n", " \n", " 7 8 9 10 11 \n", " 0 1.18096 1.48991 0.671219 0.643633 0.611302 \n", " 1 0.787227 0.791732 0.736927 0.718426 0.697129 \n", " 2 0.744861 0.721308 0.703365 0.688209 0.650323 \n", " 3 0.658954 0.587677 0.608944 0.59475 0.581124 \n", " 4 0.636999 0.583759 0.615829 0.596328 0.592438 \n", " 5 0.634849 0.578718 0.603245 0.599439 0.598519 \n", " 6 0.825814 0.718653 0.746471 0.739664 0.726469 \n", " 7 0.765708 0.698954 0.716679 0.695406 0.666509 \n", " 8 0.732835 0.672965 0.6774 0.659541 0.655495 \n", " 9 0.663592 0.599661 0.59763 0.563738 0.538458 \n", " 10 0.720034 0.654034 0.676787 0.65577 0.643606 \n", " 11 0.584108 0.541632 0.545913 0.532203 0.50759 \n", " 12 0.726172 0.723785 0.65635 0.632446 0.610096 \n", " 13 0.625913 0.579025 0.590151 0.566146 0.553259 \n", " 14 0.632802 0.605205 0.60631 0.578812 0.557432 \n", " 15 0.621346 0.563787 0.586722 0.568218 0.549277 \n", " 16 0.585796 0.529592 0.565865 0.536065 0.50473 \n", " 17 0.670519 0.614375 0.633213 0.61833 0.591354 \n", " 18 0.611676 0.558109 0.591006 0.547939 0.499857 \n", " 19 0.505588 0.438593 0.457725 0.449358 0.433818 \n", " 20 0.557433 0.503938 0.513876 0.473891 0.440785 \n", " 21 0.600533 0.545983 0.541335 0.501514 0.478923 \n", " 22 0.571634 0.531321 0.523459 0.471407 0.438607 \n", " 23 0.562539 0.512805 0.504746 0.465693 0.43178 \n", " 24 0.675624 0.76456 0.531611 0.509819 0.483057 \n", " 25 0.375123 0.346645 0.343741 0.327365 0.304744 \n", " 26 0.652655 0.606123 0.603341 0.57161 0.530153 \n", " 27 0.352799 0.34178 0.348625 0.324275 0.297713 \n", " 28 0.224205 0.213974 0.201907 0.180836 0.167654 \n", " 29 0.98321 0.875086 0.862025 0.778059 0.711655 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.94931 0.896824 0.880609 0.842669 0.82875 0.817867 0.782704 \n", " 1 0.930985 0.882914 0.827642 0.781876 0.782148 0.762659 0.746572 \n", " 2 0.946013 0.899959 0.865844 0.806362 0.785976 0.769197 0.765374 \n", " 3 0.949766 0.906989 0.830912 0.7758 0.743382 0.73729 0.714645 \n", " 4 0.980995 0.939966 0.896399 0.81897 0.778916 0.736043 0.719167 \n", " 5 0.94377 0.893369 0.851457 0.786295 0.755627 0.727007 0.682749 \n", " 6 1.03058 1.07169 1.06088 1.01579 1.08104 0.998031 0.919744 \n", " 7 0.982815 0.941721 0.923683 0.84956 0.812805 0.78163 0.780123 \n", " 8 0.99288 0.956409 0.909542 0.857351 0.834252 0.795313 0.751408 \n", " 9 0.902454 0.864269 0.835212 0.800433 0.744392 0.712691 0.694438 \n", " 10 0.943693 0.880331 0.866637 0.819952 0.783664 0.760943 0.736134 \n", " 11 0.899489 0.838964 0.796464 0.710233 0.687186 0.670059 0.622893 \n", " 12 0.926591 0.857392 0.845036 0.794946 0.74573 0.717556 0.686322 \n", " 13 0.918895 0.84579 0.754868 0.719474 0.710744 0.681833 0.638714 \n", " 14 0.847594 0.774985 0.717805 0.683813 0.655267 0.624425 0.588917 \n", " 15 0.935433 0.86369 0.826865 0.782739 0.735025 0.705049 0.663577 \n", " 16 0.92026 0.853803 0.797444 0.748643 0.711481 0.658923 0.616374 \n", " 17 0.947733 0.887463 0.859501 0.808121 0.766972 0.745401 0.722767 \n", " 18 0.928372 0.880129 0.834252 0.793805 0.741192 0.712599 0.664791 \n", " 19 0.928317 0.836251 0.797862 0.752664 0.701806 0.639912 0.561796 \n", " 20 0.848056 0.743748 0.682716 0.671703 0.64244 0.610517 0.544139 \n", " 21 0.921965 0.850136 0.816058 0.745907 0.704087 0.649589 0.608779 \n", " 22 1.0871 1.13105 1.10334 1.03009 0.946795 0.848883 0.760455 \n", " 23 0.930528 0.859371 0.817417 0.76669 0.732335 0.681074 0.632492 \n", " 24 0.926622 0.855906 0.803551 0.815917 0.771072 0.748973 0.653783 \n", " 25 0.769945 0.66942 0.556267 0.470245 0.435279 0.39243 0.340437 \n", " 26 0.869402 0.730802 0.660671 0.630015 0.607843 0.624462 0.614203 \n", " 27 0.896287 0.733982 0.578 0.477801 0.439672 0.413122 0.384406 \n", " 28 1.92932 1.61115 1.32074 1.04589 0.922227 0.725964 0.582346 \n", " \n", " 7 8 9 10 11 \n", " 0 0.795611 1.1211 1.41439 0.637195 0.611007 \n", " 1 0.734868 0.732896 0.73709 0.686068 0.668844 \n", " 2 0.730751 0.704648 0.682367 0.665392 0.651055 \n", " 3 0.682522 0.625852 0.558156 0.578355 0.564874 \n", " 4 0.691758 0.624893 0.572664 0.604125 0.584995 \n", " 5 0.644492 0.599151 0.546177 0.569325 0.565733 \n", " 6 0.873852 0.851068 0.740631 0.769299 0.762284 \n", " 7 0.773643 0.752549 0.686943 0.704362 0.683455 \n", " 8 0.718223 0.727617 0.668174 0.672577 0.654845 \n", " 9 0.639921 0.598862 0.541166 0.539334 0.508747 \n", " 10 0.719264 0.679491 0.617207 0.638679 0.618846 \n", " 11 0.56971 0.525399 0.487192 0.491043 0.47871 \n", " 12 0.660457 0.672864 0.670653 0.608168 0.586019 \n", " 13 0.607324 0.575149 0.532063 0.542286 0.520228 \n", " 14 0.558728 0.536359 0.512968 0.513904 0.490598 \n", " 15 0.617628 0.581228 0.527385 0.548839 0.53153 \n", " 16 0.578973 0.539085 0.487363 0.520743 0.493319 \n", " 17 0.668889 0.635473 0.582264 0.600117 0.586012 \n", " 18 0.617043 0.567862 0.518133 0.548674 0.508691 \n", " 19 0.51066 0.469346 0.407153 0.424914 0.417147 \n", " 20 0.510667 0.472734 0.427367 0.435796 0.401886 \n", " 21 0.59607 0.553671 0.503377 0.499092 0.462378 \n", " 22 0.678674 0.621425 0.5776 0.569054 0.512468 \n", " 23 0.584452 0.523458 0.47718 0.469681 0.433341 \n", " 24 0.597348 0.626049 0.708459 0.492603 0.47241 \n", " 25 0.305995 0.288824 0.266898 0.264662 0.252053 \n", " 26 0.631728 0.567419 0.526964 0.524546 0.496959 \n", " 27 0.345322 0.316209 0.306333 0.312468 0.290643 \n", " 28 0.50024 0.432563 0.412824 0.389542 0.34889 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.971089 0.921864 0.870895 0.855149 0.818307 0.804789 0.794221 \n", " 1 0.971075 0.904056 0.857375 0.803703 0.75926 0.759524 0.740599 \n", " 2 0.902542 0.853816 0.812251 0.78146 0.727775 0.709376 0.694233 \n", " 3 0.961676 0.913367 0.872229 0.799068 0.746068 0.714892 0.709034 \n", " 4 0.937834 0.92001 0.881532 0.840674 0.768058 0.730494 0.690286 \n", " 5 0.97019 0.915635 0.866737 0.826075 0.762855 0.733102 0.705335 \n", " 6 1.00608 1.03685 1.07821 1.06733 1.02196 1.08762 1.0041 \n", " 7 0.959595 0.943104 0.903671 0.886362 0.815234 0.779964 0.750048 \n", " 8 0.93332 0.926675 0.892636 0.848894 0.800183 0.778624 0.742282 \n", " 9 1.01054 0.911963 0.873376 0.844012 0.808867 0.752235 0.720201 \n", " 10 0.899639 0.848983 0.791981 0.77966 0.737661 0.705015 0.684575 \n", " 11 0.885643 0.796626 0.743023 0.705382 0.629013 0.608601 0.593433 \n", " 12 0.921673 0.854014 0.790235 0.778847 0.73268 0.687319 0.661352 \n", " 13 0.970646 0.891921 0.820963 0.73271 0.698354 0.689881 0.661818 \n", " 14 0.908383 0.76994 0.703983 0.652042 0.621164 0.595234 0.567217 \n", " 15 0.91208 0.853189 0.787754 0.754167 0.71392 0.670401 0.64306 \n", " 16 0.923053 0.849449 0.788105 0.736084 0.691037 0.656735 0.608221 \n", " 17 1.0197 0.9664 0.904943 0.876429 0.824037 0.782078 0.760082 \n", " 18 0.879941 0.816913 0.774462 0.734093 0.698502 0.652206 0.627045 \n", " 19 0.90358 0.838808 0.755619 0.720932 0.680092 0.634138 0.578211 \n", " 20 0.870442 0.738183 0.647389 0.594264 0.584678 0.559207 0.531419 \n", " 21 0.854026 0.787382 0.726038 0.696935 0.637024 0.601309 0.554766 \n", " 22 0.964221 1.04821 1.09059 1.06386 0.993233 0.912919 0.818511 \n", " 23 0.95177 0.885649 0.817924 0.777993 0.729713 0.697015 0.648226 \n", " 24 0.947285 0.877776 0.810787 0.761192 0.772906 0.730425 0.709491 \n", " 25 0.892198 0.686944 0.597255 0.4963 0.419551 0.388355 0.350125 \n", " 26 0.833992 0.725074 0.609483 0.550994 0.525428 0.506936 0.520796 \n", " 27 1.66589 1.49311 1.22273 0.962884 0.795962 0.732444 0.688215 \n", " \n", " 7 8 9 10 11 \n", " 0 0.760075 0.772608 1.08869 1.3735 0.618773 \n", " 1 0.724977 0.713612 0.711697 0.71577 0.666223 \n", " 2 0.690782 0.659534 0.635975 0.615865 0.600544 \n", " 3 0.687256 0.656365 0.601867 0.536765 0.55619 \n", " 4 0.674459 0.648754 0.586046 0.537064 0.566568 \n", " 5 0.662396 0.62528 0.58129 0.529895 0.552353 \n", " 6 0.925337 0.879166 0.856243 0.745134 0.773977 \n", " 7 0.748602 0.742384 0.722143 0.659187 0.675903 \n", " 8 0.701304 0.670332 0.6791 0.62362 0.62773 \n", " 9 0.701755 0.646663 0.605172 0.546868 0.545017 \n", " 10 0.662255 0.647078 0.611297 0.555264 0.574581 \n", " 11 0.55166 0.50456 0.465316 0.431478 0.434889 \n", " 12 0.632564 0.608725 0.620161 0.618122 0.560532 \n", " 13 0.619965 0.589497 0.558266 0.516445 0.526368 \n", " 14 0.534963 0.507539 0.487219 0.465971 0.466822 \n", " 15 0.605235 0.563326 0.530126 0.481017 0.500585 \n", " 16 0.568946 0.534423 0.497604 0.449862 0.480673 \n", " 17 0.737003 0.682064 0.647989 0.593732 0.611937 \n", " 18 0.584977 0.542961 0.499686 0.455926 0.482801 \n", " 19 0.507628 0.461422 0.424092 0.367895 0.383944 \n", " 20 0.473641 0.444506 0.411488 0.371998 0.379335 \n", " 21 0.519913 0.509059 0.472849 0.429897 0.426238 \n", " 22 0.733247 0.654392 0.599191 0.556935 0.548694 \n", " 23 0.601987 0.556264 0.498212 0.454166 0.447028 \n", " 24 0.619319 0.565859 0.593047 0.671113 0.466636 \n", " 25 0.303737 0.273009 0.257689 0.238126 0.236131 \n", " 26 0.51224 0.526856 0.473223 0.439484 0.437467 \n", " 27 0.640378 0.575268 0.526769 0.510317 0.520538 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.528179 0.512909 0.486909 0.459989 0.451672 0.432213 0.425073 \n", " 1 0.969243 0.941207 0.87625 0.831005 0.778983 0.735907 0.736163 \n", " 2 0.803703 0.725376 0.686215 0.652809 0.628062 0.584915 0.570128 \n", " 3 1.06946 1.02847 0.976805 0.93281 0.854568 0.797887 0.764545 \n", " 4 1.02815 0.964238 0.945912 0.906351 0.864342 0.789682 0.75106 \n", " 5 1.012 0.981832 0.926623 0.877138 0.835988 0.772009 0.741899 \n", " 6 1.04243 1.04877 1.08084 1.12396 1.11262 1.06533 1.13377 \n", " 7 1.04395 1.00177 0.984556 0.94339 0.92532 0.851065 0.814245 \n", " 8 1.04746 0.977613 0.970652 0.934997 0.88918 0.838158 0.815575 \n", " 9 1.02087 1.03162 0.930992 0.8916 0.861624 0.825745 0.767932 \n", " 10 1.00483 0.903986 0.853085 0.795808 0.783428 0.741225 0.708421 \n", " 11 1.00958 0.894127 0.804257 0.75014 0.71214 0.635038 0.614431 \n", " 12 0.901875 0.831234 0.770214 0.712693 0.702422 0.660786 0.619876 \n", " 13 1.01203 0.982322 0.90265 0.830838 0.741523 0.706755 0.698179 \n", " 14 1.11835 1.01589 0.861059 0.787297 0.729209 0.694676 0.665677 \n", " 15 0.925419 0.844056 0.789558 0.729003 0.69792 0.660676 0.620402 \n", " 16 1.00041 0.923436 0.849801 0.788432 0.736388 0.691323 0.657007 \n", " 17 1.02238 1.04252 0.988032 0.925199 0.896047 0.842482 0.799584 \n", " 18 0.97928 0.861709 0.799986 0.758415 0.718882 0.684029 0.638692 \n", " 19 1.00547 0.908527 0.843401 0.759756 0.724879 0.683815 0.63761 \n", " 20 0.967692 0.84232 0.714334 0.626473 0.575065 0.565788 0.54114 \n", " 21 0.880861 0.752279 0.693575 0.639539 0.613903 0.56113 0.52967 \n", " 22 1.13809 1.09737 1.19296 1.24119 1.21078 1.13039 1.03899 \n", " 23 1.04361 0.993279 0.924274 0.853595 0.811923 0.761537 0.727413 \n", " 24 0.730663 0.692147 0.641359 0.592413 0.556175 0.564734 0.533695 \n", " 25 0.972213 0.867407 0.667856 0.580659 0.48251 0.407893 0.377564 \n", " 26 1.22273 1.01975 0.886573 0.745235 0.673719 0.642458 0.619848 \n", " \n", " 7 8 9 10 11 \n", " 0 0.419491 0.401456 0.408076 0.575021 0.725453 \n", " 1 0.717821 0.702679 0.691664 0.689807 0.693755 \n", " 2 0.557957 0.555184 0.530069 0.511135 0.494972 \n", " 3 0.75828 0.73499 0.701953 0.64367 0.574046 \n", " 4 0.709721 0.693448 0.66702 0.602545 0.552185 \n", " 5 0.713799 0.670344 0.632783 0.588266 0.536254 \n", " 6 1.04671 0.964601 0.916471 0.892575 0.776752 \n", " 7 0.783015 0.781505 0.775014 0.753883 0.68816 \n", " 8 0.777509 0.734586 0.702144 0.711328 0.653215 \n", " 9 0.735229 0.716398 0.660157 0.617799 0.55828 \n", " 10 0.687882 0.665455 0.650205 0.614251 0.557947 \n", " 11 0.599118 0.556945 0.509393 0.469773 0.435611 \n", " 12 0.596457 0.570494 0.548994 0.559307 0.557469 \n", " 13 0.669779 0.627423 0.596588 0.564981 0.522657 \n", " 14 0.634345 0.598273 0.567604 0.54488 0.521117 \n", " 15 0.5951 0.560096 0.521312 0.490589 0.445142 \n", " 16 0.608473 0.569181 0.534644 0.49781 0.450048 \n", " 17 0.777096 0.7535 0.697331 0.662494 0.607022 \n", " 18 0.614053 0.572856 0.531711 0.489332 0.446479 \n", " 19 0.581377 0.510407 0.463948 0.426414 0.369909 \n", " 20 0.51425 0.458339 0.430145 0.398193 0.35998 \n", " 21 0.488672 0.457971 0.448411 0.416515 0.37868 \n", " 22 0.931541 0.834503 0.744759 0.681935 0.633843 \n", " 23 0.676497 0.62824 0.580523 0.51994 0.473973 \n", " 24 0.518399 0.452514 0.413452 0.433318 0.490357 \n", " 25 0.340396 0.295297 0.265422 0.250528 0.231509 \n", " 26 0.636795 0.626334 0.644205 0.578626 0.537372 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.33673 0.706033 0.68562 0.650866 0.614881 0.603763 0.577751 \n", " 1 0.903281 0.875499 0.850175 0.7915 0.750631 0.703641 0.664731 \n", " 2 1.2622 1.01443 0.915566 0.866138 0.823972 0.792737 0.738278 \n", " 3 0.919507 0.983372 0.945685 0.89818 0.857726 0.785781 0.733662 \n", " 4 0.865555 0.889924 0.834601 0.818739 0.784496 0.748136 0.683513 \n", " 5 0.877651 0.888183 0.861706 0.813252 0.769822 0.733706 0.677555 \n", " 6 0.875054 0.912184 0.917731 0.945796 0.983526 0.973604 0.932219 \n", " 7 0.915603 0.955846 0.917225 0.901463 0.86377 0.847226 0.779238 \n", " 8 0.915545 0.958994 0.895048 0.888675 0.856032 0.814084 0.767371 \n", " 9 0.894636 0.913304 0.922927 0.832899 0.797658 0.77084 0.738742 \n", " 10 0.87417 0.878394 0.790238 0.745742 0.695671 0.684849 0.647957 \n", " 11 0.944235 0.95328 0.844266 0.759408 0.708309 0.672427 0.599626 \n", " 12 0.998898 0.900881 0.830317 0.769365 0.711907 0.701648 0.660058 \n", " 13 0.920251 0.931321 0.903983 0.830665 0.76458 0.682388 0.650392 \n", " 14 0.930858 1.04102 0.945646 0.801524 0.732862 0.67879 0.646645 \n", " 15 1.10205 1.01986 0.930194 0.870134 0.803399 0.769145 0.728099 \n", " 16 0.862146 0.862503 0.796136 0.732652 0.679743 0.634874 0.596021 \n", " 17 0.885684 0.905509 0.923344 0.875084 0.819434 0.793614 0.746173 \n", " 18 0.828952 0.811777 0.714316 0.663151 0.62869 0.595919 0.567028 \n", " 19 0.831411 0.835963 0.755359 0.701213 0.63167 0.602672 0.568531 \n", " 20 0.789417 0.763913 0.664942 0.563907 0.494549 0.453966 0.446643 \n", " 21 0.79928 0.704054 0.601281 0.55436 0.51117 0.49068 0.448499 \n", " 22 0.906636 1.03184 0.994918 1.08158 1.12531 1.09773 1.02485 \n", " 23 0.743676 0.776109 0.738677 0.68736 0.634798 0.603807 0.566337 \n", " 24 0.98774 0.721705 0.683661 0.633495 0.585149 0.549356 0.557811 \n", " 25 0.920386 0.894811 0.798348 0.614685 0.53443 0.444095 0.375419 \n", " \n", " 7 8 9 10 11 \n", " 0 0.568208 0.560746 0.536638 0.545487 0.768648 \n", " 1 0.664963 0.648394 0.634717 0.624767 0.62309 \n", " 2 0.719613 0.704251 0.700751 0.669051 0.645152 \n", " 3 0.703005 0.697244 0.675829 0.645451 0.591859 \n", " 4 0.650084 0.614302 0.600217 0.577342 0.521536 \n", " 5 0.651129 0.626467 0.588329 0.555363 0.516292 \n", " 6 0.992106 0.915924 0.844078 0.801961 0.781051 \n", " 7 0.745526 0.716931 0.715548 0.709605 0.690257 \n", " 8 0.746696 0.711844 0.672546 0.642844 0.651253 \n", " 9 0.68702 0.657762 0.640916 0.5906 0.552706 \n", " 10 0.619281 0.601326 0.581721 0.56839 0.53696 \n", " 11 0.580167 0.565708 0.525887 0.480987 0.443576 \n", " 12 0.619192 0.595799 0.569865 0.548389 0.558691 \n", " 13 0.6425 0.616365 0.577386 0.54901 0.519924 \n", " 14 0.619651 0.590485 0.556908 0.528359 0.507206 \n", " 15 0.683716 0.655832 0.617255 0.574514 0.540654 \n", " 16 0.566436 0.524593 0.490717 0.460941 0.429185 \n", " 17 0.708179 0.688261 0.667363 0.617615 0.58676 \n", " 18 0.529445 0.509021 0.474871 0.440763 0.405633 \n", " 19 0.530116 0.483363 0.424358 0.385732 0.354525 \n", " 20 0.427185 0.405958 0.36182 0.339564 0.314341 \n", " 21 0.423354 0.390585 0.366047 0.358405 0.332912 \n", " 22 0.941983 0.844569 0.75659 0.675225 0.618267 \n", " 23 0.540959 0.503094 0.467207 0.431721 0.386667 \n", " 24 0.527151 0.512044 0.446966 0.408383 0.428005 \n", " 25 0.347504 0.313296 0.271787 0.244291 0.230583 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.2605 1.68494 0.889953 0.864223 0.820416 0.775056 0.761042 \n", " 1 0.948182 0.856475 0.830132 0.806121 0.750486 0.711735 0.66718 \n", " 2 0.941237 1.18803 0.95482 0.861765 0.815241 0.775553 0.746153 \n", " 3 0.912282 0.83885 0.897113 0.862731 0.819393 0.782488 0.716854 \n", " 4 0.932852 0.807434 0.830167 0.778559 0.763762 0.731819 0.6979 \n", " 5 0.883297 0.775226 0.784529 0.761142 0.718343 0.679981 0.64808 \n", " 6 0.92723 0.811376 0.845804 0.850948 0.876971 0.911955 0.902755 \n", " 7 0.907577 0.83098 0.867504 0.832452 0.818147 0.783938 0.768922 \n", " 8 0.898762 0.822857 0.861907 0.804436 0.798708 0.769369 0.731668 \n", " 9 0.874544 0.782399 0.798725 0.807141 0.728407 0.697587 0.674134 \n", " 10 0.914628 0.79954 0.803403 0.722773 0.682076 0.63628 0.626382 \n", " 11 1.02305 0.965999 0.975253 0.863725 0.776912 0.724635 0.687926 \n", " 12 0.942555 0.941516 0.849129 0.78262 0.725168 0.671012 0.661342 \n", " 13 0.937707 0.862926 0.873306 0.847671 0.77892 0.716952 0.63988 \n", " 14 0.864523 0.804749 0.899987 0.817533 0.692936 0.633576 0.58683 \n", " 15 0.897288 0.988858 0.915108 0.834652 0.780761 0.72088 0.690144 \n", " 16 0.80469 0.69376 0.694047 0.640643 0.589558 0.546983 0.510877 \n", " 17 0.804147 0.71222 0.728163 0.742505 0.703696 0.658945 0.638183 \n", " 18 0.73549 0.609686 0.597054 0.525372 0.487741 0.462395 0.438293 \n", " 19 0.76664 0.637393 0.640883 0.579089 0.537578 0.484263 0.462033 \n", " 20 0.931681 0.735485 0.711723 0.619513 0.525382 0.460762 0.422952 \n", " 21 0.789742 0.631225 0.556021 0.474857 0.437801 0.403693 0.387511 \n", " 22 0.92213 0.836037 0.951487 0.917444 0.997356 1.03768 1.01225 \n", " 23 0.842377 0.626455 0.653776 0.622245 0.579017 0.534739 0.508633 \n", " 24 2.10521 2.0794 1.51934 1.43925 1.33364 1.23186 1.15651 \n", " \n", " 7 8 9 10 11 \n", " 0 0.728254 0.716225 0.70682 0.676431 0.687585 \n", " 1 0.630286 0.630505 0.614795 0.601827 0.592393 \n", " 2 0.694894 0.677326 0.662867 0.659573 0.629736 \n", " 3 0.669307 0.641339 0.636083 0.616546 0.588833 \n", " 4 0.637617 0.606432 0.573053 0.559914 0.538575 \n", " 5 0.598482 0.57514 0.553356 0.519669 0.49055 \n", " 6 0.864381 0.919911 0.849272 0.782654 0.743602 \n", " 7 0.707219 0.676622 0.65067 0.649415 0.644021 \n", " 8 0.689684 0.671102 0.639779 0.604459 0.577764 \n", " 9 0.646063 0.600829 0.575242 0.56051 0.516506 \n", " 10 0.592639 0.566411 0.54999 0.532058 0.519865 \n", " 11 0.613447 0.59354 0.578747 0.538008 0.492073 \n", " 12 0.62214 0.583623 0.561573 0.537129 0.516886 \n", " 13 0.609877 0.602477 0.57797 0.541419 0.514811 \n", " 14 0.55904 0.535703 0.510488 0.481459 0.456779 \n", " 15 0.653315 0.61349 0.58847 0.553855 0.515504 \n", " 16 0.479612 0.455805 0.422135 0.394875 0.370915 \n", " 17 0.600033 0.56948 0.553463 0.536658 0.496653 \n", " 18 0.417043 0.389402 0.37438 0.349263 0.324177 \n", " 19 0.435859 0.406408 0.370566 0.32533 0.295718 \n", " 20 0.416129 0.398 0.378223 0.337101 0.316365 \n", " 21 0.354199 0.334341 0.308462 0.289083 0.283048 \n", " 22 0.945048 0.868631 0.778802 0.697675 0.622646 \n", " 23 0.477069 0.455692 0.423795 0.393565 0.363672 \n", " 24 1.17431 1.10976 1.07796 0.940957 0.859732 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.987447 1.24468 1.66379 0.878782 0.853375 0.810117 0.765327 \n", " 1 0.966154 0.91609 0.827487 0.802036 0.778836 0.725085 0.687645 \n", " 2 0.956933 0.9007 1.13686 0.913698 0.824651 0.78013 0.742152 \n", " 3 0.936535 0.854384 0.785613 0.840178 0.807978 0.767391 0.732827 \n", " 4 0.908871 0.847842 0.733854 0.754515 0.70761 0.694161 0.665129 \n", " 5 0.911939 0.805513 0.706959 0.715443 0.694115 0.655085 0.620101 \n", " 6 0.949423 0.880333 0.770339 0.803026 0.807909 0.832616 0.865831 \n", " 7 0.945601 0.858206 0.785776 0.820313 0.787168 0.77364 0.741293 \n", " 8 0.909279 0.817226 0.748207 0.783714 0.731457 0.726249 0.699571 \n", " 9 0.887237 0.775928 0.694173 0.708658 0.716125 0.64627 0.618925 \n", " 10 0.93792 0.857847 0.749905 0.753528 0.677904 0.639733 0.59678 \n", " 11 0.938505 0.960136 0.906595 0.915279 0.81061 0.729135 0.680073 \n", " 12 0.932589 0.879016 0.878047 0.791888 0.729862 0.676284 0.625778 \n", " 13 0.934522 0.876308 0.806423 0.816124 0.792167 0.727918 0.670007 \n", " 14 0.924413 0.799176 0.74392 0.83196 0.755738 0.640559 0.585686 \n", " 15 0.990985 0.889199 0.979944 0.906859 0.827127 0.773722 0.714382 \n", " 16 0.846684 0.681318 0.587396 0.587639 0.542422 0.499169 0.463121 \n", " 17 0.884806 0.711514 0.630177 0.644282 0.656972 0.622635 0.583039 \n", " 18 0.7734 0.568828 0.471532 0.461762 0.406323 0.377219 0.357617 \n", " 19 0.76902 0.589562 0.490168 0.492852 0.445331 0.413408 0.372408 \n", " 20 0.953264 0.888138 0.701112 0.67846 0.59056 0.500828 0.439228 \n", " 21 0.800025 0.631814 0.504996 0.444831 0.379897 0.350252 0.322964 \n", " 22 0.800614 0.73827 0.669342 0.761774 0.734518 0.798497 0.83078 \n", " 23 2.10228 1.77092 1.31699 1.37442 1.30814 1.21726 1.12417 \n", " \n", " 7 8 9 10 11 \n", " 0 0.751489 0.719113 0.707234 0.697947 0.66794 \n", " 1 0.644598 0.608953 0.609165 0.593987 0.581458 \n", " 2 0.714019 0.664967 0.648156 0.634319 0.631167 \n", " 3 0.671359 0.62683 0.600636 0.595714 0.577418 \n", " 4 0.634301 0.579511 0.551169 0.520831 0.508889 \n", " 5 0.591009 0.545779 0.524492 0.504627 0.473906 \n", " 6 0.857096 0.820663 0.873384 0.806318 0.74307 \n", " 7 0.727094 0.668747 0.639814 0.615274 0.614088 \n", " 8 0.665291 0.627115 0.610219 0.581737 0.549622 \n", " 9 0.598116 0.57321 0.533078 0.510376 0.497305 \n", " 10 0.587496 0.555848 0.531248 0.515846 0.499028 \n", " 11 0.645622 0.575722 0.55704 0.543157 0.504923 \n", " 12 0.61676 0.580201 0.54428 0.523717 0.50092 \n", " 13 0.597982 0.569943 0.563028 0.540126 0.505968 \n", " 14 0.542473 0.516784 0.495211 0.471902 0.445067 \n", " 15 0.683923 0.647425 0.607959 0.583165 0.548863 \n", " 16 0.432551 0.40608 0.385923 0.357415 0.334335 \n", " 17 0.564668 0.530913 0.503879 0.489708 0.474838 \n", " 18 0.338976 0.322541 0.301164 0.289545 0.27012 \n", " 19 0.355313 0.335184 0.312536 0.284973 0.250185 \n", " 20 0.403185 0.396681 0.379399 0.360547 0.321347 \n", " 21 0.310018 0.283368 0.267481 0.246777 0.231273 \n", " 22 0.810424 0.756619 0.695438 0.62352 0.558568 \n", " 23 1.06929 1.00293 0.957994 0.890938 0.827385 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.981755 0.969432 1.22197 1.63344 0.862748 0.837805 0.795337 \n", " 1 0.955775 0.923426 0.875576 0.790891 0.766566 0.744393 0.693018 \n", " 2 0.999839 0.956779 0.900555 1.13668 0.913551 0.824518 0.780005 \n", " 3 0.918149 0.859879 0.784452 0.72131 0.771409 0.741845 0.704579 \n", " 4 0.918219 0.834543 0.778505 0.673839 0.69281 0.649741 0.637392 \n", " 5 0.860567 0.784784 0.693197 0.608385 0.615686 0.597332 0.563744 \n", " 6 0.926321 0.879471 0.815471 0.713581 0.74386 0.748383 0.77127 \n", " 7 0.929678 0.879104 0.797855 0.730518 0.762626 0.731812 0.719236 \n", " 8 0.89102 0.810186 0.728165 0.666667 0.698305 0.651743 0.647102 \n", " 9 0.962471 0.853939 0.746808 0.668121 0.682063 0.689249 0.622016 \n", " 10 0.890312 0.835042 0.763752 0.667649 0.670875 0.603546 0.569562 \n", " 11 0.919598 0.863047 0.88294 0.833703 0.841689 0.745436 0.670511 \n", " 12 0.918329 0.856423 0.807225 0.806336 0.727214 0.670253 0.621051 \n", " 13 0.902174 0.843101 0.790582 0.727534 0.736286 0.714673 0.656709 \n", " 14 0.867042 0.801504 0.692919 0.64501 0.721344 0.655256 0.555392 \n", " 15 0.91176 0.903541 0.810736 0.893474 0.826838 0.754142 0.705449 \n", " 16 0.849733 0.719455 0.578938 0.499129 0.499336 0.460914 0.42416 \n", " 17 0.847885 0.750214 0.603282 0.534318 0.546278 0.557037 0.527923 \n", " 18 0.771213 0.596456 0.438688 0.363651 0.356116 0.313362 0.290916 \n", " 19 0.829373 0.637805 0.488967 0.406533 0.408758 0.369346 0.34287 \n", " 20 0.934093 0.890437 0.829604 0.654903 0.633745 0.551638 0.46782 \n", " 21 1.08048 0.864408 0.682659 0.545635 0.480629 0.41047 0.378439 \n", " 22 1.22994 0.984709 0.90803 0.823253 0.936938 0.903415 0.982106 \n", " \n", " 7 8 9 10 11 \n", " 0 0.751364 0.737779 0.705993 0.694331 0.685213 \n", " 1 0.657235 0.616091 0.582023 0.582225 0.567718 \n", " 2 0.742033 0.713904 0.66486 0.648052 0.634217 \n", " 3 0.672845 0.616408 0.575523 0.551474 0.546955 \n", " 4 0.610734 0.582427 0.532119 0.506094 0.478238 \n", " 5 0.533638 0.508603 0.469679 0.451361 0.434265 \n", " 6 0.802037 0.793946 0.760198 0.809034 0.74691 \n", " 7 0.689163 0.675963 0.621719 0.594821 0.572007 \n", " 8 0.623332 0.592788 0.558772 0.543718 0.51834 \n", " 9 0.595697 0.575669 0.551698 0.513072 0.491222 \n", " 10 0.53132 0.523055 0.494878 0.472977 0.459264 \n", " 11 0.625394 0.593713 0.529433 0.512253 0.499486 \n", " 12 0.57467 0.566388 0.532815 0.499828 0.480944 \n", " 13 0.604463 0.539483 0.514188 0.507949 0.487287 \n", " 14 0.507814 0.470347 0.448073 0.429368 0.409158 \n", " 15 0.651345 0.623574 0.590297 0.554313 0.531707 \n", " 16 0.393529 0.367553 0.34506 0.327931 0.303707 \n", " 17 0.49435 0.478774 0.450153 0.427232 0.415216 \n", " 18 0.275799 0.261422 0.248748 0.232261 0.223301 \n", " 19 0.308866 0.294687 0.277993 0.259209 0.236349 \n", " 20 0.410279 0.376612 0.370537 0.354394 0.336784 \n", " 21 0.348955 0.334967 0.306172 0.289007 0.266637 \n", " 22 1.02181 0.996775 0.930597 0.855349 0.766893 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.958261 0.940778 0.928969 1.17096 1.56526 0.826738 0.802836 \n", " 1 0.92429 0.883414 0.853514 0.809287 0.731013 0.70853 0.688035 \n", " 2 0.957093 0.95694 0.915727 0.861916 1.08791 0.874354 0.789141 \n", " 3 0.930549 0.854383 0.80016 0.729972 0.671214 0.717834 0.690323 \n", " 4 0.921825 0.846437 0.769303 0.717645 0.621161 0.63865 0.598947 \n", " 5 1.11256 0.95743 0.873117 0.771222 0.676864 0.684986 0.664566 \n", " 6 0.963311 0.892336 0.847204 0.785553 0.687401 0.716569 0.720926 \n", " 7 0.922342 0.857481 0.810835 0.735895 0.673787 0.703402 0.674981 \n", " 8 0.920123 0.819848 0.745471 0.670001 0.613416 0.642527 0.599683 \n", " 9 0.933809 0.898764 0.797416 0.697376 0.623898 0.636917 0.643627 \n", " 10 0.85292 0.759365 0.712224 0.651419 0.569451 0.572203 0.514776 \n", " 11 0.811173 0.745953 0.700081 0.716217 0.676277 0.682756 0.604677 \n", " 12 0.882976 0.810862 0.756201 0.712761 0.711975 0.642113 0.591818 \n", " 13 0.949126 0.856277 0.80021 0.750363 0.690522 0.698828 0.678315 \n", " 14 0.879775 0.762802 0.705143 0.609613 0.567463 0.63462 0.576478 \n", " 15 0.87022 0.793432 0.786279 0.705519 0.777519 0.719531 0.656269 \n", " 16 0.868144 0.73769 0.624591 0.502602 0.433316 0.433496 0.400139 \n", " 17 0.835826 0.708684 0.627048 0.504239 0.446596 0.456593 0.465586 \n", " 18 0.825783 0.636855 0.492544 0.362261 0.300297 0.294075 0.258769 \n", " 19 0.930634 0.771843 0.593563 0.455049 0.378333 0.380404 0.343726 \n", " 20 0.975972 0.911649 0.869042 0.80967 0.639168 0.618518 0.538383 \n", " 21 3.15637 3.41038 2.72839 2.15473 1.72223 1.51705 1.2956 \n", " \n", " 7 8 9 10 11 \n", " 0 0.76214 0.720003 0.706984 0.676525 0.66535 \n", " 1 0.64055 0.607476 0.569447 0.537958 0.538145 \n", " 2 0.746538 0.710195 0.683273 0.636333 0.620246 \n", " 3 0.655646 0.626115 0.573598 0.535553 0.513174 \n", " 4 0.587564 0.56299 0.536896 0.49052 0.46653 \n", " 5 0.627197 0.593703 0.56585 0.522545 0.502164 \n", " 6 0.742973 0.772611 0.764817 0.732307 0.779352 \n", " 7 0.663381 0.635644 0.623469 0.573437 0.548628 \n", " 8 0.595413 0.573542 0.545437 0.514139 0.500287 \n", " 9 0.580844 0.556267 0.537565 0.515181 0.479111 \n", " 10 0.485791 0.453174 0.446124 0.422092 0.403411 \n", " 11 0.543901 0.507303 0.481604 0.429462 0.415526 \n", " 12 0.548373 0.50742 0.500107 0.470463 0.441336 \n", " 13 0.6233 0.573712 0.512038 0.488029 0.482108 \n", " 14 0.488619 0.446762 0.413799 0.394203 0.377747 \n", " 15 0.613896 0.566813 0.542646 0.513688 0.482374 \n", " 16 0.368232 0.34164 0.319089 0.299561 0.284692 \n", " 17 0.441251 0.41319 0.400171 0.37625 0.357091 \n", " 18 0.240234 0.22775 0.215878 0.205412 0.191797 \n", " 19 0.319086 0.287441 0.274246 0.25871 0.241229 \n", " 20 0.456579 0.400421 0.367563 0.361634 0.345879 \n", " 21 1.19449 1.10143 1.05728 0.966394 0.912213 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.95111 0.911411 0.894783 0.883551 1.11371 1.48873 0.786319 \n", " 1 0.96648 0.893308 0.853802 0.824904 0.782159 0.70651 0.68478 \n", " 2 0.946477 0.905867 0.905722 0.866715 0.815784 1.02968 0.827556 \n", " 3 0.961766 0.894971 0.821717 0.769567 0.702062 0.645551 0.690388 \n", " 4 0.992244 0.914675 0.839872 0.763335 0.712079 0.616343 0.633696 \n", " 5 0.95836 1.06623 0.917562 0.836761 0.739108 0.648679 0.656463 \n", " 6 0.967661 0.932159 0.863479 0.819806 0.760149 0.665171 0.693396 \n", " 7 0.945138 0.871741 0.810438 0.766351 0.695522 0.636822 0.664812 \n", " 8 0.892276 0.821004 0.731531 0.665166 0.597826 0.547336 0.573311 \n", " 9 0.918274 0.857493 0.825312 0.732247 0.640383 0.57291 0.584864 \n", " 10 0.961193 0.819821 0.729896 0.684584 0.62614 0.547353 0.549997 \n", " 11 0.899299 0.729487 0.670835 0.629582 0.644093 0.608175 0.614001 \n", " 12 0.881075 0.777968 0.714431 0.66627 0.627996 0.627304 0.565749 \n", " 13 0.967828 0.918591 0.828729 0.774466 0.726222 0.668307 0.676346 \n", " 14 0.925464 0.8142 0.705945 0.652585 0.564174 0.525167 0.587318 \n", " 15 0.868192 0.755518 0.688851 0.682642 0.612526 0.675036 0.624691 \n", " 16 0.899462 0.780862 0.663524 0.561795 0.452071 0.389751 0.389913 \n", " 17 0.821352 0.686507 0.582079 0.515027 0.414158 0.366813 0.375023 \n", " 18 0.980665 0.809817 0.624541 0.48302 0.355257 0.294491 0.288389 \n", " 19 1.08581 1.01049 0.838073 0.644495 0.494096 0.410797 0.413046 \n", " 20 2.18415 2.13167 1.99118 1.89812 1.76844 1.39604 1.35094 \n", " \n", " 7 8 9 10 11 \n", " 0 0.763585 0.724879 0.684801 0.67242 0.64345 \n", " 1 0.664972 0.619079 0.587113 0.550359 0.519926 \n", " 2 0.746904 0.706581 0.672183 0.646702 0.602275 \n", " 3 0.663929 0.630578 0.602176 0.551667 0.515076 \n", " 4 0.594302 0.583007 0.558623 0.532732 0.486715 \n", " 5 0.636894 0.601081 0.568981 0.542288 0.500786 \n", " 6 0.697612 0.718946 0.747626 0.740084 0.708625 \n", " 7 0.637951 0.626987 0.600772 0.589264 0.541978 \n", " 8 0.535083 0.531273 0.511758 0.486681 0.458754 \n", " 9 0.591027 0.533374 0.510806 0.493632 0.473077 \n", " 10 0.494799 0.466939 0.435587 0.428811 0.405712 \n", " 11 0.543786 0.489129 0.456217 0.433106 0.386215 \n", " 12 0.521436 0.483158 0.447075 0.440632 0.414513 \n", " 13 0.656492 0.603247 0.555255 0.495565 0.472329 \n", " 14 0.53351 0.4522 0.413462 0.382956 0.364821 \n", " 15 0.569768 0.53298 0.492103 0.471121 0.44598 \n", " 16 0.35991 0.331211 0.307292 0.287008 0.269444 \n", " 17 0.38241 0.362423 0.339375 0.328681 0.309033 \n", " 18 0.253765 0.235589 0.223346 0.211704 0.20144 \n", " 19 0.37322 0.346466 0.312105 0.297778 0.280909 \n", " 20 1.17591 0.997238 0.874581 0.802814 0.789863 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.953616 0.906994 0.869137 0.85328 0.842569 1.06206 1.41968 \n", " 1 0.936575 0.905181 0.83665 0.79965 0.772585 0.732551 0.6617 \n", " 2 0.900361 0.852171 0.815608 0.815477 0.780356 0.7345 0.927083 \n", " 3 0.906883 0.872209 0.811634 0.745201 0.697907 0.636688 0.585439 \n", " 4 0.927657 0.920462 0.848504 0.779113 0.708114 0.660565 0.571755 \n", " 5 0.918213 0.879978 0.979026 0.842517 0.768324 0.678658 0.595625 \n", " 6 0.941099 0.910665 0.877254 0.812619 0.771519 0.715375 0.625992 \n", " 7 0.91892 0.868507 0.80106 0.744728 0.704215 0.639129 0.585189 \n", " 8 0.891592 0.795546 0.732 0.652227 0.593056 0.533017 0.488001 \n", " 9 0.888314 0.815716 0.761723 0.733137 0.650466 0.568861 0.508924 \n", " 10 0.956454 0.919337 0.784121 0.698112 0.654773 0.598874 0.523518 \n", " 11 0.883082 0.794154 0.644197 0.592402 0.555972 0.568787 0.537069 \n", " 12 0.830121 0.731398 0.645808 0.593063 0.553084 0.521312 0.520738 \n", " 13 0.878777 0.850505 0.807237 0.728268 0.680583 0.638187 0.587292 \n", " 14 0.929354 0.860083 0.75668 0.656073 0.606482 0.524318 0.488066 \n", " 15 0.767908 0.666692 0.580168 0.528974 0.524206 0.470364 0.518365 \n", " 16 0.86856 0.781237 0.678226 0.576311 0.487953 0.392651 0.338522 \n", " 17 0.796192 0.653953 0.546591 0.463446 0.41006 0.329749 0.292053 \n", " 18 1.13347 1.11156 0.917905 0.7079 0.54749 0.402674 0.333797 \n", " 19 1.57048 1.70524 1.58696 1.31618 1.01217 0.775969 0.64515 \n", " \n", " 7 8 9 10 11 \n", " 0 0.749846 0.728167 0.691257 0.653038 0.641231 \n", " 1 0.641348 0.622796 0.579814 0.549875 0.515453 \n", " 2 0.7451 0.672483 0.636178 0.605208 0.582266 \n", " 3 0.626101 0.602106 0.57186 0.546104 0.500297 \n", " 4 0.587853 0.551308 0.54083 0.518211 0.494192 \n", " 5 0.602773 0.584804 0.55192 0.522446 0.497936 \n", " 6 0.652554 0.656522 0.676599 0.70359 0.696492 \n", " 7 0.610909 0.586226 0.576151 0.552061 0.541487 \n", " 8 0.51116 0.477076 0.473679 0.456279 0.433921 \n", " 9 0.519543 0.525017 0.473804 0.453756 0.438501 \n", " 10 0.526047 0.473253 0.446605 0.416619 0.410138 \n", " 11 0.542213 0.480207 0.431941 0.402877 0.382468 \n", " 12 0.46964 0.432855 0.401079 0.371126 0.365778 \n", " 13 0.594357 0.57691 0.53012 0.487945 0.435491 \n", " 14 0.545826 0.495819 0.420254 0.384253 0.355902 \n", " 15 0.479705 0.437529 0.409279 0.37789 0.361778 \n", " 16 0.338663 0.312604 0.287677 0.266902 0.249284 \n", " 17 0.29859 0.304471 0.288558 0.270207 0.261693 \n", " 18 0.326881 0.287636 0.267033 0.253157 0.239961 \n", " 19 0.648682 0.586136 0.54412 0.490156 0.467655 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.96545 0.920669 0.875657 0.839108 0.823799 0.813458 1.02536 \n", " 1 0.970226 0.908689 0.87823 0.811739 0.775841 0.749581 0.71074 \n", " 2 0.914766 0.82362 0.779538 0.746091 0.745971 0.713844 0.671896 \n", " 3 0.92129 0.835503 0.803558 0.74775 0.686546 0.642975 0.586574 \n", " 4 0.923262 0.856471 0.849828 0.783392 0.719326 0.653775 0.609875 \n", " 5 0.958684 0.880276 0.843621 0.938577 0.807708 0.73658 0.650619 \n", " 6 0.930576 0.875764 0.847443 0.816351 0.756204 0.717957 0.665711 \n", " 7 0.887971 0.815975 0.771209 0.711318 0.661297 0.625323 0.567529 \n", " 8 0.918647 0.819058 0.730826 0.67245 0.599166 0.544809 0.489654 \n", " 9 0.907462 0.806112 0.740232 0.691235 0.665294 0.590273 0.51622 \n", " 10 0.940156 0.899216 0.86432 0.737196 0.656334 0.615589 0.563035 \n", " 11 0.933131 0.824031 0.74105 0.60112 0.552789 0.518795 0.530753 \n", " 12 0.901685 0.748508 0.659491 0.582315 0.534757 0.498708 0.47006 \n", " 13 0.912534 0.801913 0.776114 0.736631 0.664569 0.621054 0.582367 \n", " 14 0.962941 0.894913 0.82821 0.728638 0.631759 0.584006 0.504887 \n", " 15 0.850433 0.653054 0.566977 0.493394 0.449857 0.445802 0.400013 \n", " 16 0.931301 0.808891 0.727566 0.631632 0.536719 0.454431 0.365676 \n", " 17 0.751533 0.598364 0.491468 0.410781 0.348295 0.308174 0.247817 \n", " 18 2.47365 2.80382 2.74961 2.27058 1.7511 1.3543 0.996076 \n", " \n", " 7 8 9 10 11 \n", " 0 1.37063 0.723939 0.703009 0.667374 0.630475 \n", " 1 0.641998 0.622252 0.604253 0.56255 0.533503 \n", " 2 0.848064 0.681592 0.615165 0.581954 0.553624 \n", " 3 0.539359 0.576821 0.554715 0.526849 0.50312 \n", " 4 0.52788 0.542742 0.509002 0.499328 0.478444 \n", " 5 0.571017 0.577869 0.560642 0.529117 0.50086 \n", " 6 0.582533 0.607251 0.610944 0.629627 0.654744 \n", " 7 0.519631 0.54247 0.520552 0.511606 0.490214 \n", " 8 0.4483 0.469575 0.438264 0.435144 0.41916 \n", " 9 0.461829 0.471466 0.476434 0.429959 0.411767 \n", " 10 0.492188 0.494566 0.444931 0.419879 0.391687 \n", " 11 0.501155 0.505956 0.448096 0.403058 0.375937 \n", " 12 0.469541 0.423468 0.390299 0.361647 0.334639 \n", " 13 0.535924 0.542371 0.52645 0.483752 0.445266 \n", " 14 0.469978 0.525598 0.477445 0.404679 0.370013 \n", " 15 0.440835 0.407957 0.372089 0.348065 0.32137 \n", " 16 0.315266 0.315397 0.291128 0.267913 0.248566 \n", " 17 0.219488 0.224401 0.22882 0.216861 0.20307 \n", " 18 0.825699 0.808591 0.711512 0.660548 0.626223 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.937762 0.905362 0.863368 0.821158 0.786884 0.772527 0.76283 \n", " 1 0.926625 0.899035 0.842014 0.81379 0.752178 0.718913 0.694581 \n", " 2 0.907767 0.830395 0.747655 0.707639 0.677277 0.677168 0.648004 \n", " 3 0.920136 0.847712 0.768776 0.739382 0.688032 0.631716 0.591624 \n", " 4 0.895947 0.827194 0.767353 0.761401 0.701878 0.644478 0.585747 \n", " 5 0.967623 0.927645 0.851776 0.816307 0.908189 0.781557 0.712732 \n", " 6 0.938846 0.873668 0.822208 0.795619 0.766429 0.709959 0.674051 \n", " 7 0.902801 0.801661 0.736662 0.696248 0.642179 0.597019 0.564542 \n", " 8 0.875465 0.804244 0.717057 0.639813 0.588706 0.524549 0.476962 \n", " 9 0.863155 0.78328 0.695799 0.638935 0.596643 0.574251 0.509497 \n", " 10 0.959445 0.902028 0.862748 0.829267 0.707299 0.629717 0.590624 \n", " 11 0.962313 0.897964 0.792976 0.713122 0.578466 0.531956 0.499243 \n", " 12 0.910584 0.821061 0.681579 0.600522 0.530247 0.486941 0.454116 \n", " 13 0.921487 0.840888 0.738953 0.715179 0.678795 0.612392 0.572293 \n", " 14 0.943324 0.908365 0.844193 0.78127 0.687342 0.595954 0.550907 \n", " 15 0.840928 0.715153 0.549172 0.476787 0.414909 0.378298 0.374887 \n", " 16 0.974472 0.907527 0.788242 0.708993 0.615508 0.523018 0.442831 \n", " 17 1.62797 1.22347 0.97412 0.800095 0.66874 0.567015 0.501698 \n", " \n", " 7 8 9 10 11 \n", " 0 0.961545 1.28533 0.678883 0.659255 0.625838 \n", " 1 0.658589 0.594891 0.576594 0.559916 0.521273 \n", " 2 0.609925 0.769845 0.618727 0.558427 0.528279 \n", " 3 0.539728 0.496284 0.530754 0.510413 0.484773 \n", " 4 0.546416 0.472953 0.486268 0.456039 0.447372 \n", " 5 0.629554 0.552529 0.559159 0.54249 0.511986 \n", " 6 0.625001 0.546909 0.570115 0.573582 0.591123 \n", " 7 0.512365 0.469123 0.489742 0.469954 0.461878 \n", " 8 0.428675 0.392471 0.411097 0.383685 0.380953 \n", " 9 0.445578 0.39863 0.406948 0.411236 0.371121 \n", " 10 0.540201 0.472227 0.474509 0.426887 0.40285 \n", " 11 0.51075 0.482268 0.486888 0.431209 0.387868 \n", " 12 0.428029 0.427557 0.385603 0.3554 0.32931 \n", " 13 0.536644 0.493847 0.499787 0.485117 0.445771 \n", " 14 0.476272 0.443342 0.49581 0.450385 0.381744 \n", " 15 0.336382 0.37071 0.343063 0.3129 0.292697 \n", " 16 0.356341 0.307218 0.307345 0.283696 0.261074 \n", " 17 0.403439 0.35732 0.365318 0.372513 0.353043 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.939886 0.881389 0.850937 0.811468 0.771795 0.739581 0.726087 \n", " 1 0.900704 0.834615 0.809765 0.758405 0.732984 0.67749 0.647528 \n", " 2 0.90503 0.821557 0.751532 0.676651 0.640435 0.612956 0.612857 \n", " 3 0.955181 0.878896 0.809718 0.73432 0.706243 0.657194 0.603403 \n", " 4 0.978965 0.877101 0.809794 0.751211 0.745385 0.687114 0.630921 \n", " 5 0.985777 0.953861 0.914451 0.839661 0.804697 0.895272 0.770441 \n", " 6 0.948157 0.890174 0.828375 0.779582 0.754372 0.726695 0.673153 \n", " 7 0.903779 0.815932 0.724524 0.66578 0.629254 0.580387 0.539573 \n", " 8 0.918975 0.804531 0.73908 0.658957 0.587972 0.541006 0.482048 \n", " 9 0.857064 0.739779 0.671321 0.596344 0.547608 0.511361 0.49217 \n", " 10 0.942231 0.904018 0.849918 0.812908 0.781361 0.666439 0.593338 \n", " 11 1.04383 1.00449 0.937318 0.827729 0.744376 0.603817 0.555269 \n", " 12 0.927439 0.844512 0.761484 0.632123 0.556948 0.491772 0.451608 \n", " 13 0.893328 0.82319 0.751189 0.660127 0.63889 0.606387 0.547067 \n", " 14 0.985594 0.929735 0.89528 0.832032 0.770015 0.67744 0.587369 \n", " 15 0.76817 0.645975 0.549359 0.421857 0.366253 0.318721 0.290597 \n", " 16 1.83034 1.78361 1.66108 1.44275 1.2977 1.12659 0.957299 \n", " \n", " 7 8 9 10 11 \n", " 0 0.716973 0.903743 1.20806 0.638072 0.619625 \n", " 1 0.625612 0.593194 0.535821 0.519341 0.504318 \n", " 2 0.586463 0.552001 0.696733 0.559966 0.505393 \n", " 3 0.565108 0.515538 0.474041 0.506965 0.487536 \n", " 4 0.573426 0.534922 0.463004 0.47604 0.446446 \n", " 5 0.702595 0.6206 0.54467 0.551206 0.534775 \n", " 6 0.639106 0.592599 0.518556 0.540559 0.543846 \n", " 7 0.510221 0.463065 0.423983 0.442619 0.424735 \n", " 8 0.438316 0.393942 0.360671 0.377788 0.352597 \n", " 9 0.436671 0.381889 0.341651 0.348781 0.352455 \n", " 10 0.556504 0.508994 0.444947 0.447097 0.402226 \n", " 11 0.521123 0.533134 0.503404 0.508227 0.450107 \n", " 12 0.421165 0.396971 0.396533 0.357623 0.329612 \n", " 13 0.511246 0.479399 0.441167 0.446474 0.433368 \n", " 14 0.542971 0.469411 0.436955 0.488667 0.443897 \n", " 15 0.287977 0.258398 0.284769 0.26353 0.240361 \n", " 16 0.810529 0.652225 0.562313 0.562546 0.51926 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.935947 0.879683 0.824934 0.796432 0.759491 0.722359 0.692209 \n", " 1 0.969651 0.873368 0.809285 0.785189 0.735388 0.710738 0.656928 \n", " 2 0.951293 0.860948 0.781541 0.714927 0.643693 0.609241 0.5831 \n", " 3 0.855642 0.817292 0.75202 0.692829 0.628315 0.604291 0.562323 \n", " 4 0.911128 0.891962 0.799151 0.737826 0.684449 0.67914 0.626048 \n", " 5 0.914941 0.901928 0.872727 0.836669 0.768241 0.736251 0.819121 \n", " 6 0.925034 0.877078 0.823441 0.766275 0.72114 0.69782 0.672217 \n", " 7 0.919703 0.831208 0.750415 0.666347 0.612319 0.578727 0.533784 \n", " 8 0.985914 0.90603 0.793198 0.728669 0.649675 0.57969 0.533386 \n", " 9 0.842758 0.722298 0.623454 0.565761 0.502574 0.461501 0.430954 \n", " 10 0.935991 0.881919 0.846153 0.795516 0.760874 0.731347 0.62378 \n", " 11 0.963094 1.0053 0.967416 0.902726 0.797181 0.716904 0.581533 \n", " 12 0.926899 0.859643 0.782777 0.705819 0.585915 0.516235 0.455823 \n", " 13 0.919384 0.821312 0.756828 0.690631 0.606911 0.587385 0.557503 \n", " 14 0.931031 0.917619 0.865612 0.833533 0.774647 0.716908 0.630718 \n", " 15 2.56933 1.97368 1.65972 1.41148 1.08389 0.941025 0.818898 \n", " \n", " 7 8 9 10 11 \n", " 0 0.679579 0.671049 0.845856 1.13068 0.597202 \n", " 1 0.627876 0.606625 0.575191 0.519559 0.503579 \n", " 2 0.583006 0.557898 0.525114 0.662797 0.532692 \n", " 3 0.516296 0.48353 0.441116 0.405609 0.433781 \n", " 4 0.57485 0.522464 0.487382 0.421856 0.433733 \n", " 5 0.704908 0.642834 0.567813 0.498341 0.504322 \n", " 6 0.622689 0.591195 0.548174 0.479682 0.500036 \n", " 7 0.496247 0.469252 0.425882 0.389939 0.407078 \n", " 8 0.475258 0.432142 0.388393 0.355591 0.372466 \n", " 9 0.41478 0.368008 0.32184 0.287929 0.293938 \n", " 10 0.555359 0.520882 0.476413 0.416467 0.418479 \n", " 11 0.534777 0.50189 0.513459 0.484826 0.48947 \n", " 12 0.418596 0.390377 0.367952 0.367546 0.331481 \n", " 13 0.502965 0.470032 0.440752 0.405602 0.410481 \n", " 14 0.546859 0.505523 0.437036 0.406819 0.454964 \n", " 15 0.746639 0.739908 0.663911 0.731664 0.677096 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.558917 0.523117 0.49167 0.46107 0.44514 0.424492 0.403739 \n", " 1 0.959053 0.929946 0.837606 0.776147 0.753037 0.705276 0.681635 \n", " 2 1.07457 1.02223 0.925153 0.839823 0.768242 0.691695 0.654674 \n", " 3 0.980326 0.838808 0.801213 0.737225 0.679198 0.615953 0.592403 \n", " 4 0.948639 0.864331 0.84615 0.758106 0.69993 0.649295 0.644259 \n", " 5 0.98862 0.90453 0.891665 0.862796 0.827148 0.759498 0.727873 \n", " 6 1.00877 0.933145 0.884768 0.830662 0.772994 0.727464 0.703938 \n", " 7 1.10817 1.01919 0.921118 0.831586 0.738425 0.678553 0.641327 \n", " 8 1.11401 1.09831 1.00932 0.883627 0.811741 0.723742 0.645778 \n", " 9 0.970055 0.817521 0.700668 0.604785 0.54882 0.487524 0.447681 \n", " 10 1.07349 1.00478 0.946736 0.908341 0.853982 0.816794 0.785097 \n", " 11 0.996239 0.959472 1.00152 0.963778 0.899331 0.794183 0.714207 \n", " 12 0.9894 0.917075 0.850531 0.77448 0.698338 0.579704 0.510763 \n", " 13 0.859319 0.790045 0.705769 0.650357 0.593473 0.52153 0.504752 \n", " 14 1.30172 1.21194 1.19448 1.12678 1.08503 1.00837 0.933213 \n", " \n", " 7 8 9 10 11 \n", " 0 0.386887 0.379829 0.375061 0.472763 0.631957 \n", " 1 0.630029 0.602166 0.581785 0.551638 0.498285 \n", " 2 0.626584 0.626483 0.599502 0.564274 0.712224 \n", " 3 0.55126 0.506139 0.474017 0.432437 0.397629 \n", " 4 0.593894 0.545325 0.49563 0.462349 0.400189 \n", " 5 0.8098 0.696887 0.635518 0.561351 0.492671 \n", " 6 0.678112 0.628149 0.596379 0.552981 0.483888 \n", " 7 0.591522 0.549925 0.52001 0.471949 0.432118 \n", " 8 0.594195 0.529439 0.481408 0.432672 0.39613 \n", " 9 0.418049 0.40236 0.356988 0.312202 0.279307 \n", " 10 0.669625 0.596175 0.559165 0.511427 0.447075 \n", " 11 0.579346 0.532765 0.500003 0.511527 0.483002 \n", " 12 0.450992 0.414159 0.38624 0.364052 0.363651 \n", " 13 0.479073 0.432207 0.403907 0.378747 0.348542 \n", " 14 0.821018 0.711857 0.658049 0.568899 0.529564 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.3684 0.764822 0.715833 0.672801 0.630927 0.609129 0.580875 \n", " 1 0.945604 0.906884 0.879361 0.792044 0.733928 0.712075 0.666912 \n", " 2 1.01565 1.0914 1.03824 0.939635 0.85297 0.780268 0.702523 \n", " 3 0.908053 0.890188 0.761682 0.727544 0.669439 0.616748 0.559318 \n", " 4 0.884546 0.839114 0.76454 0.748458 0.670579 0.61912 0.574331 \n", " 5 0.899101 0.88887 0.813264 0.801697 0.775741 0.74369 0.682866 \n", " 6 0.910695 0.918681 0.849811 0.805754 0.75648 0.703962 0.662498 \n", " 7 0.980217 1.08625 0.999024 0.902896 0.815135 0.723817 0.66513 \n", " 8 0.991063 1.10405 1.0885 1.0003 0.87573 0.804487 0.717274 \n", " 9 0.874834 0.848637 0.715195 0.612968 0.529086 0.480126 0.426503 \n", " 10 1.00552 1.07942 1.01032 0.951958 0.913351 0.858692 0.821299 \n", " 11 0.833446 0.830311 0.799668 0.834714 0.803256 0.749543 0.661908 \n", " 12 0.897423 0.887911 0.823004 0.763286 0.695036 0.626704 0.52024 \n", " 13 0.887617 0.762747 0.701257 0.626453 0.577268 0.526777 0.462919 \n", " \n", " 7 8 9 10 11 \n", " 0 0.552476 0.529416 0.519757 0.513233 0.646929 \n", " 1 0.644557 0.595758 0.569411 0.550139 0.521631 \n", " 2 0.664922 0.636393 0.63629 0.608887 0.573107 \n", " 3 0.537933 0.500573 0.459601 0.430433 0.392676 \n", " 4 0.569877 0.525326 0.482365 0.438407 0.408969 \n", " 5 0.654431 0.728092 0.626572 0.571395 0.504712 \n", " 6 0.641073 0.617553 0.572053 0.54312 0.503597 \n", " 7 0.62864 0.579821 0.539046 0.509723 0.462612 \n", " 8 0.640006 0.588884 0.524708 0.477106 0.428805 \n", " 9 0.391647 0.365723 0.351998 0.312305 0.273125 \n", " 10 0.789427 0.673318 0.599463 0.562249 0.514248 \n", " 11 0.595253 0.482853 0.444031 0.416725 0.42633 \n", " 12 0.458371 0.40473 0.371675 0.34662 0.326709 \n", " 13 0.448026 0.425234 0.383635 0.358515 0.336182 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.14295 1.56402 0.874155 0.818163 0.76898 0.72112 0.696205 \n", " 1 0.906514 0.857204 0.822104 0.797153 0.717999 0.665316 0.645507 \n", " 2 0.967431 0.982575 1.05585 1.00442 0.909031 0.825189 0.754855 \n", " 3 0.979328 0.889282 0.871787 0.745937 0.712505 0.655601 0.603999 \n", " 4 0.834236 0.73792 0.70002 0.637807 0.624391 0.559421 0.516492 \n", " 5 0.833297 0.749218 0.740692 0.67769 0.668052 0.646422 0.619715 \n", " 6 0.90201 0.821457 0.82866 0.766538 0.726799 0.682352 0.634981 \n", " 7 0.934797 0.916304 1.01542 0.933884 0.844024 0.761985 0.676621 \n", " 8 0.9978 0.988882 1.10162 1.0861 0.998101 0.873803 0.802716 \n", " 9 0.943122 0.825075 0.800368 0.674517 0.578104 0.498993 0.452817 \n", " 10 0.91819 0.923255 0.991109 0.927669 0.874078 0.83863 0.788443 \n", " 11 0.836539 0.69721 0.694587 0.668953 0.698271 0.671955 0.627022 \n", " 12 1.77355 1.59162 1.57475 1.45964 1.35372 1.23268 1.11149 \n", " \n", " 7 8 9 10 11 \n", " 0 0.663913 0.631454 0.605098 0.594058 0.586601 \n", " 1 0.604566 0.5843 0.540063 0.516179 0.498709 \n", " 2 0.679642 0.643266 0.615666 0.615567 0.589056 \n", " 3 0.547756 0.526813 0.490226 0.4501 0.421535 \n", " 4 0.479128 0.475412 0.438246 0.402406 0.365735 \n", " 5 0.56903 0.545335 0.606717 0.52212 0.476142 \n", " 6 0.59758 0.578255 0.557039 0.515997 0.4899 \n", " 7 0.621761 0.58765 0.542014 0.503898 0.476487 \n", " 8 0.715695 0.638598 0.587588 0.523553 0.476056 \n", " 9 0.402244 0.369371 0.344922 0.331977 0.294542 \n", " 10 0.754109 0.724845 0.618234 0.550422 0.516251 \n", " 11 0.553712 0.497952 0.403925 0.371449 0.348607 \n", " 12 0.92267 0.812941 0.717808 0.659184 0.614747 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.960849 1.0982 1.50278 0.839931 0.786131 0.738873 0.692887 \n", " 1 0.922098 0.835895 0.790426 0.75806 0.735054 0.662066 0.613487 \n", " 2 0.987787 0.955615 0.970574 1.04295 0.992154 0.897929 0.815111 \n", " 3 0.935114 0.915783 0.83158 0.815219 0.697536 0.666273 0.613061 \n", " 4 0.864875 0.72151 0.638208 0.605429 0.551623 0.54002 0.483829 \n", " 5 0.832427 0.693659 0.62367 0.616573 0.564128 0.556104 0.538099 \n", " 6 0.937936 0.846028 0.770474 0.77723 0.718964 0.681691 0.640003 \n", " 7 0.893777 0.8355 0.818971 0.907558 0.834684 0.754369 0.681045 \n", " 8 0.983132 0.980969 0.972202 1.08304 1.06778 0.981265 0.859063 \n", " 9 0.918648 0.866397 0.757954 0.735256 0.619643 0.531074 0.458399 \n", " 10 0.810776 0.744447 0.748553 0.803568 0.752132 0.708682 0.679941 \n", " 11 1.24246 1.03936 0.866252 0.862994 0.831144 0.86757 0.834874 \n", " \n", " 7 8 9 10 11 \n", " 0 0.668948 0.63792 0.606732 0.581407 0.5708 \n", " 1 0.59522 0.557469 0.538782 0.497991 0.475968 \n", " 2 0.745636 0.671342 0.63541 0.608146 0.608049 \n", " 3 0.564807 0.512214 0.49263 0.458417 0.420895 \n", " 4 0.446701 0.414386 0.411172 0.379028 0.348031 \n", " 5 0.515867 0.473676 0.453952 0.505048 0.434627 \n", " 6 0.595572 0.560492 0.542366 0.522467 0.483973 \n", " 7 0.604749 0.555716 0.525228 0.48444 0.450373 \n", " 8 0.789176 0.703623 0.627826 0.577677 0.514722 \n", " 9 0.41598 0.369521 0.339321 0.316862 0.30497 \n", " 10 0.639251 0.611414 0.587687 0.50125 0.446269 \n", " 11 0.779047 0.687962 0.618684 0.501859 0.461509 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.918552 0.88259 1.00876 1.38038 0.77152 0.722102 0.678693 \n", " 1 0.848208 0.782131 0.709013 0.670446 0.642993 0.623478 0.561569 \n", " 2 0.951286 0.939668 0.909063 0.923294 0.992147 0.943822 0.854187 \n", " 3 0.876781 0.81989 0.802941 0.729113 0.714769 0.611586 0.584175 \n", " 4 0.88707 0.767205 0.64003 0.566135 0.537058 0.489328 0.479035 \n", " 5 0.832253 0.69279 0.5773 0.519051 0.513145 0.469497 0.46282 \n", " 6 0.892681 0.837277 0.755233 0.687787 0.693818 0.641805 0.608532 \n", " 7 0.913572 0.816529 0.763289 0.748189 0.82912 0.762544 0.689171 \n", " 8 1.0066 0.989617 0.98744 0.978615 1.09018 1.07483 0.987738 \n", " 9 0.896172 0.823267 0.776441 0.679257 0.658917 0.555307 0.475934 \n", " 10 2.12311 1.72137 1.58054 1.58926 1.70606 1.59686 1.50461 \n", " \n", " 7 8 9 10 11 \n", " 0 0.636453 0.614463 0.585962 0.557315 0.534053 \n", " 1 0.520364 0.504871 0.472849 0.456999 0.4224 \n", " 2 0.775403 0.709313 0.638638 0.604456 0.578521 \n", " 3 0.53752 0.495212 0.4491 0.431929 0.401931 \n", " 4 0.42919 0.396255 0.367589 0.364738 0.336224 \n", " 5 0.447835 0.429332 0.394218 0.377803 0.420328 \n", " 6 0.571318 0.531655 0.50034 0.48416 0.466396 \n", " 7 0.622183 0.552481 0.507686 0.479834 0.442571 \n", " 8 0.86473 0.794382 0.708264 0.631967 0.581488 \n", " 9 0.410804 0.37279 0.331154 0.304091 0.283963 \n", " 10 1.44359 1.3572 1.2981 1.24772 1.06421 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.907989 0.834035 0.801381 0.915941 1.25337 0.700531 0.65566 \n", " 1 0.840171 0.71264 0.657124 0.595692 0.563289 0.540224 0.523828 \n", " 2 1.02893 0.978809 0.966855 0.935365 0.950007 1.02085 0.97113 \n", " 3 0.886163 0.776971 0.726556 0.711537 0.646113 0.633402 0.541965 \n", " 4 1.0049 0.891421 0.770967 0.643169 0.568912 0.539692 0.491728 \n", " 5 0.816915 0.67988 0.565951 0.471605 0.424021 0.419196 0.383539 \n", " 6 0.869051 0.775785 0.727637 0.656336 0.597722 0.602963 0.557761 \n", " 7 0.866543 0.791649 0.707558 0.661423 0.648338 0.718468 0.660777 \n", " 8 0.837634 0.84316 0.828937 0.827113 0.819721 0.913174 0.900311 \n", " 9 1.92552 1.7256 1.58521 1.49505 1.30792 1.26876 1.06925 \n", " \n", " 7 8 9 10 11 \n", " 0 0.616246 0.577892 0.557926 0.532047 0.506035 \n", " 1 0.471814 0.437195 0.424178 0.397274 0.383958 \n", " 2 0.878902 0.797838 0.729836 0.657116 0.621945 \n", " 3 0.517675 0.476331 0.438839 0.397976 0.382759 \n", " 4 0.481385 0.431295 0.398199 0.369392 0.366527 \n", " 5 0.378084 0.365843 0.350728 0.322043 0.308633 \n", " 6 0.528845 0.496505 0.462035 0.434821 0.420759 \n", " 7 0.597196 0.539149 0.478749 0.439932 0.415796 \n", " 8 0.827363 0.724328 0.665402 0.593266 0.529358 \n", " 9 0.916419 0.791011 0.717813 0.637643 0.585532 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.858541 0.779545 0.716053 0.688019 0.786372 1.07607 0.601435 \n", " 1 0.926784 0.778657 0.660463 0.609012 0.552078 0.522047 0.500671 \n", " 2 0.948515 0.975958 0.928415 0.917077 0.887208 0.901096 0.968294 \n", " 3 0.905747 0.80264 0.703739 0.658076 0.644472 0.585215 0.573702 \n", " 4 1.11388 1.11934 0.992936 0.858766 0.716413 0.6337 0.601153 \n", " 5 1.0431 0.852122 0.709181 0.590342 0.49193 0.442295 0.437262 \n", " 6 0.962371 0.836349 0.746593 0.700256 0.631638 0.57523 0.580274 \n", " 7 0.74296 0.643807 0.588164 0.525687 0.49141 0.481689 0.533793 \n", " 8 2.17469 1.82159 1.83361 1.80268 1.79871 1.78264 1.98587 \n", " \n", " 7 8 9 10 11 \n", " 0 0.562911 0.529072 0.496144 0.479002 0.456784 \n", " 1 0.485476 0.43727 0.405185 0.393121 0.368187 \n", " 2 0.921131 0.833651 0.756761 0.69226 0.623284 \n", " 3 0.490883 0.468882 0.431435 0.397477 0.360465 \n", " 4 0.547727 0.536205 0.480412 0.443546 0.411459 \n", " 5 0.400069 0.394379 0.38161 0.365843 0.335922 \n", " 6 0.536773 0.508945 0.477821 0.444649 0.418459 \n", " 7 0.490931 0.443693 0.400566 0.355691 0.326852 \n", " 8 1.9579 1.79926 1.57519 1.44704 1.29017 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.922419 0.791935 0.719068 0.660501 0.634642 0.725365 0.992589 \n", " 1 0.923768 0.856133 0.719298 0.610114 0.562585 0.509992 0.48225 \n", " 2 0.991125 0.940096 0.967296 0.920175 0.908937 0.879334 0.893099 \n", " 3 0.940944 0.852257 0.755238 0.662179 0.619212 0.606412 0.550654 \n", " 4 1.00999 1.125 1.13052 1.00285 0.867341 0.723567 0.640028 \n", " 5 1.02121 1.06523 0.870199 0.724226 0.602866 0.502366 0.451678 \n", " 6 0.840157 0.808542 0.702665 0.627255 0.588325 0.530675 0.483284 \n", " 7 1.61278 1.19823 1.03832 0.948578 0.847817 0.792537 0.776858 \n", " \n", " 7 8 9 10 11 \n", " 0 0.554775 0.51924 0.488026 0.457653 0.441841 \n", " 1 0.462503 0.448467 0.403936 0.374297 0.363153 \n", " 2 0.9597 0.912956 0.826252 0.750045 0.686116 \n", " 3 0.539821 0.461893 0.441192 0.405956 0.374003 \n", " 4 0.607156 0.553196 0.54156 0.485209 0.447975 \n", " 5 0.446538 0.408556 0.402745 0.389706 0.373605 \n", " 6 0.487521 0.450974 0.427594 0.401445 0.373575 \n", " 7 0.86089 0.791763 0.715578 0.646024 0.573651 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.92133 0.849852 0.729633 0.662499 0.608539 0.584714 0.668301 \n", " 1 0.896338 0.828008 0.767385 0.644734 0.546869 0.504267 0.457125 \n", " 2 0.972412 0.963781 0.914161 0.940611 0.89479 0.883861 0.855074 \n", " 3 0.981793 0.923812 0.83674 0.741488 0.650123 0.607939 0.595371 \n", " 4 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0.462584 0.395806 \n", " 4 1.65061 1.377 1.21802 1.15546 1.05277 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.790811 0.714834 0.621383 0.572499 0.528084 0.453382 0.411665 \n", " 1 0.864255 0.743534 0.6468 0.579752 0.535556 0.496345 0.417015 \n", " 2 0.799146 0.722 0.709974 0.690387 0.68426 0.649031 0.667809 \n", " 3 2.04916 1.98048 1.78854 1.75597 1.65227 1.49654 1.32618 \n", " \n", " 7 8 9 10 11 \n", " 0 0.378136 0.363332 0.415271 0.568256 0.317608 \n", " 1 0.353715 0.32616 0.295669 0.279586 0.268137 \n", " 2 0.635278 0.627519 0.607081 0.616584 0.662565 \n", " 3 1.16277 1.08732 1.06484 0.966935 0.947911 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.791441 0.62588 0.565749 0.491788 0.453099 0.417947 0.358825 \n", " 1 1.10915 0.958587 0.82469 0.717398 0.643031 0.594011 0.55052 \n", " 2 0.872125 0.696956 0.629674 0.619186 0.602104 0.59676 0.566036 \n", " \n", " 7 8 9 10 11 \n", " 0 0.325809 0.299273 0.287556 0.328662 0.449741 \n", " 1 0.462531 0.392323 0.36176 0.327941 0.310102 \n", " 2 0.582413 0.554042 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0.856489 0.835979 0.816202 \n", " 18 0.931742 0.909814 0.849809 0.765273 0.799405 0.802734 0.768467 \n", " 19 0.943366 0.911979 0.86797 0.796887 0.849292 0.848288 0.811346 \n", " 20 0.984368 0.976974 0.94507 0.892159 0.916092 0.891708 0.866482 \n", " 21 0.95061 0.945451 0.904066 0.877422 0.8798 0.815648 0.787083 \n", " 22 0.964398 0.927498 0.89487 0.875362 0.864176 0.834454 0.797494 \n", " 23 1.06086 1.05477 0.972067 0.897765 0.932729 0.924279 0.894554 \n", " 24 0.985383 1.00822 1.0647 1.25142 0.828053 0.837563 0.821512 \n", " 25 0.970715 0.948246 0.868503 0.7769 0.799226 0.777158 0.742603 \n", " 26 0.966846 0.996667 0.927385 0.867382 0.862318 0.843425 0.850015 \n", " 27 0.94381 0.879099 0.804423 0.74552 0.765724 0.72849 0.698068 \n", " 28 0.956386 0.923714 0.88558 0.827231 0.848244 0.8135 0.774263 \n", " 29 0.929495 0.891529 0.847118 0.786035 0.797908 0.765005 0.745871 \n", " 30 0.952013 0.932217 0.895561 0.889398 0.85904 0.844321 0.801173 \n", " 31 1.023 1.06488 1.0446 1.00712 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0.768642 0.765032 0.732547 0.711697 \n", " 19 0.837443 0.862858 0.871595 0.837305 0.812604 \n", " 20 0.910061 0.920916 0.904346 0.864708 0.839579 \n", " 21 0.767523 0.770651 0.795174 0.836954 0.780369 \n", " 22 0.807377 0.773746 0.750259 0.71135 0.683272 \n", " 23 1.0222 1.04672 0.996428 0.883236 0.83912 \n", " 24 0.844877 0.818208 0.622308 0.57849 0.577511 \n", " 25 0.732606 0.710051 0.701359 0.662858 0.650124 \n", " 26 0.85244 0.814735 0.801118 0.753022 0.731604 \n", " 27 0.685973 0.698981 0.683195 0.642865 0.606925 \n", " 28 0.764744 0.760491 0.754682 0.710679 0.683192 \n", " 29 0.72693 0.714114 0.713492 0.677407 0.650794 \n", " 30 0.806563 0.796559 0.791157 0.762336 0.763633 \n", " 31 0.941042 0.930755 0.921314 0.905825 0.909056 \n", " 32 0.813774 0.823272 0.809533 0.789341 0.806412 \n", " 33 0.812131 0.804173 0.798056 0.760738 0.745767 \n", " 34 0.681255 0.672491 0.630091 0.603527 0.583544 \n", " 35 0.759932 0.743755 0.728855 0.686609 0.681933 \n", " 36 0.753653 0.732078 0.714718 0.674665 0.657616 \n", " 37 0.697893 0.686038 0.674214 0.644768 0.675665 \n", " 38 0.686051 0.68396 0.683921 0.637444 0.639415 \n", " 39 0.750002 0.715267 0.690971 0.673955 0.647529 \n", " 40 0.755831 0.734984 0.647407 0.606405 0.576515 \n", " 41 0.840564 0.806101 0.739334 0.683843 0.676173 \n", " 42 0.706291 0.669561 0.6497 0.608275 0.585781 \n", " 43 0.743377 0.743927 0.778563 0.670694 0.64688 \n", " 44 0.811956 0.767744 0.72558 0.720503 0.703907 \n", " 45 0.623145 0.607365 0.609178 0.578772 0.561306 \n", " 46 0.813219 0.815024 0.735469 0.652529 0.628286 \n", " 47 0.676346 0.639895 0.625375 0.585661 0.559095 \n", " 48 0.673106 0.639852 0.619989 0.590469 0.565568 \n", " 49 0.770547 0.720757 0.692704 0.664095 0.66468 \n", " 50 0.711555 0.66476 0.646971 0.590142 0.572639 \n", " 51 0.642427 0.588293 0.559077 0.518397 0.506767 \n", " 52 0.610184 0.594623 0.571187 0.536263 0.52833 \n", " 53 0.516766 0.504502 0.487129 0.442112 0.42665 \n", " 54 0.523766 0.507535 0.503483 0.451483 0.43663 \n", " 55 0.518359 0.497811 0.470059 0.429747 0.404205 \n", " 56 0.385327 0.370275 0.356271 0.352232 0.347176 \n", " 57 0.413882 0.41171 0.391879 0.35978 0.438527 \n", " 58 0.454019 0.433615 0.409001 0.386602 0.372677 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.999266 0.99728 1.07299 1.56613 2.30756 0.923638 0.870383 \n", " 1 0.950321 0.917353 0.94576 1.01236 1.07911 0.921647 0.901515 \n", " 2 0.981742 0.997088 1.00902 1.00321 0.986797 0.994157 0.964117 \n", " 3 0.980724 0.958177 0.933631 0.902134 0.777197 0.804743 0.78674 \n", " 4 0.977144 0.933474 0.915181 0.886272 0.784032 0.800131 0.786885 \n", " 5 0.951063 0.909981 0.904089 0.892352 0.834185 0.8757 0.855206 \n", " 6 0.965563 0.950484 0.948371 0.920631 0.856514 0.897108 0.892825 \n", " 7 0.989185 0.987722 1.00473 0.965298 0.869334 0.870929 0.835255 \n", " 8 0.968504 0.930823 0.920342 0.871793 0.816462 0.863039 0.860532 \n", " 9 0.963592 0.961571 0.960232 0.944872 0.944153 0.986142 0.926875 \n", " 10 0.988525 0.968727 0.97132 0.940408 0.908879 0.95843 0.921832 \n", " 11 0.998056 1.07838 1.0991 1.02843 0.967589 0.981293 0.95943 \n", " 12 0.971311 0.954438 0.960243 0.972495 0.984266 0.905316 0.877594 \n", " 13 0.970997 0.947786 0.962531 0.943571 0.866072 0.902439 0.904583 \n", " 14 0.973839 0.937261 0.936655 0.906995 0.864843 0.882276 0.86453 \n", " 15 0.977625 0.971441 0.960434 0.916797 0.867443 0.896341 0.870282 \n", " 16 0.958403 0.933263 0.914159 0.854409 0.805379 0.867415 0.83171 \n", " 17 0.974746 0.953049 0.92212 0.883907 0.821442 0.834859 0.814867 \n", " 18 0.956907 0.891591 0.870608 0.813189 0.732295 0.764957 0.768142 \n", " 19 0.955617 0.901496 0.871503 0.829447 0.761518 0.811598 0.810638 \n", " 20 0.977592 0.96231 0.955083 0.923894 0.872168 0.895564 0.871727 \n", " 21 0.952391 0.905353 0.900439 0.861024 0.835649 0.837914 0.776816 \n", " 22 0.96426 0.92993 0.894349 0.862887 0.844076 0.83329 0.804631 \n", " 23 0.983633 1.0435 1.03751 0.956158 0.883071 0.917464 0.909152 \n", " 24 0.975263 0.961008 0.983279 1.03836 1.22047 0.80757 0.816844 \n", " 25 0.974182 0.945654 0.923765 0.84608 0.756843 0.778592 0.757093 \n", " 26 0.96591 0.933887 0.962691 0.89577 0.837813 0.832921 0.814673 \n", " 27 0.959258 0.905357 0.843283 0.771649 0.715146 0.734527 0.69881 \n", " 28 0.960006 0.918136 0.88677 0.850162 0.794146 0.814319 0.780964 \n", " 29 0.962974 0.895079 0.858519 0.815752 0.756931 0.768364 0.73668 \n", " 30 0.945784 0.900399 0.881675 0.847007 0.841178 0.812466 0.798545 \n", " 31 0.962308 0.984439 1.02474 1.00522 0.969163 0.912467 0.895324 \n", " 32 0.944971 0.909293 0.883645 0.837101 0.789897 0.794589 0.782332 \n", " 33 0.957767 0.934886 0.916309 0.89471 0.838616 0.86228 0.836207 \n", " 34 0.957937 0.912909 0.868946 0.82832 0.761156 0.761458 0.722019 \n", " 35 0.956039 0.915347 0.929898 0.85365 0.782012 0.80456 0.770112 \n", " 36 0.948113 0.930606 0.917792 0.900166 0.922815 0.798214 0.765029 \n", " 37 0.969005 0.932667 0.902075 0.940971 1.14402 0.752559 0.732077 \n", " 38 0.996106 0.953924 0.902547 0.848919 0.813373 0.77632 0.740669 \n", " 39 0.952 0.931663 0.895101 0.837525 0.768374 0.771721 0.750486 \n", " 40 0.951421 0.893381 0.844116 0.755401 0.713768 0.773679 0.737835 \n", " 41 0.972988 0.92875 0.894885 1.01009 0.908301 0.908113 0.867437 \n", " 42 0.966673 0.92326 0.895744 0.846468 0.78035 0.783339 0.755215 \n", " 43 0.944441 0.901136 0.874643 0.818371 0.754006 0.74874 0.725513 \n", " 44 0.978777 0.956161 0.926771 0.877291 0.79949 0.826536 0.840566 \n", " 45 0.957333 0.861444 0.808927 0.755189 0.696495 0.703512 0.666586 \n", " 46 0.996844 1.08604 1.02264 0.917399 0.842549 0.830257 0.778868 \n", " 47 0.960979 0.924327 0.880505 0.838398 0.792426 0.78643 0.74737 \n", " 48 0.947906 0.894038 0.853501 0.831406 1.03041 0.759122 0.700648 \n", " 49 0.966363 0.928015 0.89639 0.871117 0.838416 0.789014 0.764715 \n", " 50 0.928075 0.888024 0.832949 0.780496 0.759233 0.752515 0.708095 \n", " 51 0.909877 0.887785 0.895818 0.85108 0.774543 0.746481 0.693587 \n", " 52 0.946201 0.856734 0.81075 0.757396 0.712137 0.701648 0.662484 \n", " 53 0.838684 0.721625 0.625345 0.591632 0.555487 0.54978 0.508461 \n", " 54 0.831012 0.702334 0.627321 0.580613 0.553935 0.544815 0.511508 \n", " 55 0.79732 0.698558 0.624841 0.557886 0.496282 0.503314 0.483107 \n", " 56 0.745009 0.663698 0.561388 0.474532 0.397323 0.378987 0.337721 \n", " 57 1.18601 0.88236 0.800522 0.719959 0.614782 0.611669 0.555505 \n", " \n", " 7 8 9 10 11 \n", " 0 0.858086 0.879353 0.879587 0.83899 0.805018 \n", " 1 0.890516 0.969761 0.948551 0.958199 1.06923 \n", " 2 0.891317 0.862911 0.874652 0.924984 0.857053 \n", " 3 0.747447 0.73839 0.717862 0.705413 0.687905 \n", " 4 0.754476 0.758538 0.763541 0.749133 0.721347 \n", " 5 0.824212 0.839682 0.851069 0.850994 0.842488 \n", " 6 0.870494 0.913772 0.907946 0.889667 0.85895 \n", " 7 0.814254 0.817672 0.802886 0.797732 0.771164 \n", " 8 0.846472 0.879578 0.908173 0.933 0.916443 \n", " 9 0.867059 0.888187 0.878802 0.857051 0.854691 \n", " 10 0.917018 0.921094 0.907159 0.881427 0.844346 \n", " 11 0.951677 1.03809 0.997508 0.954646 0.920629 \n", " 12 0.852491 0.859831 0.838376 0.835531 0.835697 \n", " 13 0.905515 0.96044 0.924813 0.916381 1.00579 \n", " 14 0.8579 0.870368 0.867059 0.839398 0.812929 \n", " 15 0.838024 0.84288 0.835836 0.813818 0.788263 \n", " 16 0.808957 0.810772 0.778313 0.763078 0.728529 \n", " 17 0.795589 0.815923 0.811003 0.801187 0.81086 \n", " 18 0.735351 0.725889 0.735519 0.732065 0.700979 \n", " 19 0.775336 0.800275 0.824561 0.83291 0.800142 \n", " 20 0.847067 0.889668 0.900281 0.884081 0.845332 \n", " 21 0.749611 0.730982 0.733961 0.757317 0.797108 \n", " 22 0.768991 0.778521 0.746092 0.723444 0.685926 \n", " 23 0.879913 1.00547 1.02958 0.98012 0.868781 \n", " 24 0.801191 0.823978 0.797968 0.606914 0.56418 \n", " 25 0.723431 0.713692 0.69172 0.683252 0.645744 \n", " 26 0.821038 0.823381 0.786961 0.773808 0.727352 \n", " 27 0.669627 0.658025 0.670503 0.65536 0.616673 \n", " 28 0.743296 0.734158 0.730075 0.724499 0.682256 \n", " 29 0.718254 0.700014 0.687673 0.687074 0.652325 \n", " 30 0.757736 0.762834 0.753372 0.748263 0.721005 \n", " 31 0.866275 0.905573 0.895674 0.886588 0.871683 \n", " 32 0.748742 0.768993 0.777968 0.764985 0.745904 \n", " 33 0.783119 0.777832 0.77021 0.764351 0.728609 \n", " 34 0.670509 0.6526 0.644204 0.603588 0.578141 \n", " 35 0.736172 0.726524 0.711059 0.696814 0.656425 \n", " 36 0.731945 0.714548 0.694092 0.677633 0.639658 \n", " 37 0.690971 0.676262 0.664774 0.653317 0.624783 \n", " 38 0.697259 0.683379 0.681297 0.681257 0.634962 \n", " 39 0.731708 0.714002 0.680934 0.657805 0.641605 \n", " 40 0.707021 0.719114 0.699279 0.615957 0.576946 \n", " 41 0.845282 0.817859 0.784327 0.719364 0.665371 \n", " 42 0.697321 0.682752 0.647246 0.628047 0.588003 \n", " 43 0.701596 0.702076 0.702595 0.735307 0.633431 \n", " 44 0.800979 0.794723 0.75145 0.710181 0.705211 \n", " 45 0.61802 0.596557 0.58145 0.583186 0.554078 \n", " 46 0.696366 0.810652 0.812452 0.733148 0.650469 \n", " 47 0.695521 0.649955 0.614926 0.600972 0.562808 \n", " 48 0.654673 0.638042 0.60652 0.587692 0.559709 \n", " 49 0.7484 0.744628 0.696513 0.669403 0.641756 \n", " 50 0.665012 0.660376 0.616947 0.600437 0.547696 \n", " 51 0.634417 0.58453 0.535274 0.508691 0.471678 \n", " 52 0.614444 0.577357 0.562633 0.540458 0.507413 \n", " 53 0.456268 0.433404 0.423118 0.408547 0.370792 \n", " 54 0.462927 0.435256 0.421768 0.4184 0.375188 \n", " 55 0.434122 0.413298 0.396915 0.374788 0.342646 \n", " 56 0.306504 0.287072 0.275858 0.265425 0.262416 \n", " 57 0.514778 0.490868 0.488292 0.464772 0.426703 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.988038 0.987313 0.985351 1.06015 1.5474 2.27996 0.91259 \n", " 1 1.00735 0.957303 0.924092 0.952708 1.0198 1.08704 0.928418 \n", " 2 0.944492 0.927248 0.941741 0.953013 0.947524 0.932021 0.938973 \n", " 3 0.969405 0.950719 0.928862 0.905067 0.874533 0.753419 0.780122 \n", " 4 0.973993 0.951731 0.909196 0.89138 0.863223 0.763642 0.779322 \n", " 5 1.00374 0.954623 0.913387 0.907473 0.895692 0.837308 0.878978 \n", " 6 0.971338 0.937888 0.923242 0.921189 0.894244 0.831964 0.871395 \n", " 7 1.00754 0.996643 0.995168 1.0123 0.972576 0.875888 0.877495 \n", " 8 0.991859 0.960619 0.923245 0.91285 0.864696 0.809815 0.856013 \n", " 9 0.987746 0.951785 0.949788 0.948465 0.933294 0.932584 0.974058 \n", " 10 0.977527 0.96631 0.946957 0.949491 0.919274 0.888453 0.936891 \n", " 11 0.986611 0.984693 1.06395 1.08439 1.01466 0.954634 0.968155 \n", " 12 0.979718 0.951612 0.93508 0.940768 0.952771 0.964303 0.886954 \n", " 13 1.00324 0.974138 0.950852 0.965645 0.946624 0.868874 0.905359 \n", " 14 1.00685 0.980513 0.943684 0.943074 0.913211 0.87077 0.888323 \n", " 15 0.954551 0.933193 0.92729 0.916783 0.875129 0.828019 0.855603 \n", " 16 1.00354 0.961798 0.936569 0.917396 0.857436 0.808232 0.870487 \n", " 17 1.00167 0.976372 0.954639 0.923658 0.885382 0.822813 0.836252 \n", " 18 0.997584 0.954596 0.889437 0.868505 0.811224 0.730526 0.763109 \n", " 19 0.99038 0.946423 0.892823 0.863118 0.821467 0.754192 0.80379 \n", " 20 0.976649 0.954765 0.93984 0.932781 0.90232 0.851802 0.874652 \n", " 21 0.964125 0.918224 0.872873 0.868136 0.830135 0.80567 0.807854 \n", " 22 0.944832 0.911063 0.878627 0.845009 0.815283 0.79751 0.787319 \n", " 23 0.963893 0.948117 1.00582 1.00005 0.921634 0.851186 0.884337 \n", " 24 0.955345 0.931713 0.918095 0.939371 0.991991 1.16597 0.771508 \n", " 25 0.941858 0.917541 0.890671 0.870055 0.796887 0.712838 0.733323 \n", " 26 0.984566 0.951002 0.919473 0.947832 0.881945 0.824882 0.820066 \n", " 27 0.9679 0.928465 0.876295 0.816213 0.746879 0.692189 0.710948 \n", " 28 0.96959 0.930812 0.890216 0.859804 0.824309 0.769996 0.789556 \n", " 29 0.972671 0.936657 0.870617 0.835057 0.793459 0.736245 0.747366 \n", " 30 0.959528 0.907506 0.863957 0.845992 0.812726 0.807133 0.779583 \n", " 31 0.954919 0.918927 0.940059 0.978543 0.959907 0.925472 0.871332 \n", " 32 0.959341 0.906549 0.872322 0.847717 0.803066 0.757781 0.762282 \n", " 33 0.936052 0.896519 0.875102 0.857712 0.837495 0.784988 0.807139 \n", " 34 0.940479 0.90092 0.858572 0.817225 0.779018 0.715852 0.716135 \n", " 35 0.952944 0.911051 0.872274 0.886141 0.813481 0.745214 0.7667 \n", " 36 0.952405 0.902987 0.886314 0.87411 0.857322 0.878894 0.760223 \n", " 37 0.96593 0.935991 0.90089 0.871341 0.908912 1.10504 0.726919 \n", " 38 1.02846 1.02445 0.981071 0.928232 0.873077 0.836519 0.798412 \n", " 39 0.980813 0.933734 0.913787 0.877927 0.821456 0.753632 0.756914 \n", " 40 0.947842 0.901797 0.846784 0.800089 0.716001 0.676539 0.733325 \n", " 41 0.952613 0.926881 0.884739 0.852479 0.962226 0.86526 0.86508 \n", " 42 0.973093 0.940663 0.898418 0.871643 0.823692 0.759354 0.762262 \n", " 43 0.936166 0.884153 0.843612 0.818811 0.766131 0.705874 0.700945 \n", " 44 0.977693 0.956943 0.934832 0.906098 0.857721 0.781656 0.808099 \n", " 45 0.964033 0.9229 0.83046 0.779832 0.728027 0.671443 0.678208 \n", " 46 0.940217 0.937249 1.02111 0.961502 0.862554 0.792178 0.780621 \n", " 47 0.924645 0.888565 0.854674 0.814155 0.77522 0.732712 0.727168 \n", " 48 0.926213 0.877963 0.828069 0.790523 0.770059 0.954378 0.703108 \n", " 49 0.972236 0.939533 0.902249 0.871503 0.846931 0.815138 0.767108 \n", " 50 0.858371 0.796633 0.762254 0.714979 0.669956 0.651704 0.645937 \n", " 51 0.877763 0.798656 0.779265 0.786316 0.747047 0.679865 0.655233 \n", " 52 0.912494 0.863403 0.781764 0.739805 0.691119 0.649821 0.64025 \n", " 53 0.821428 0.688919 0.592763 0.513676 0.485983 0.456293 0.451604 \n", " 54 0.813301 0.675863 0.571209 0.510201 0.472213 0.450516 0.443098 \n", " 55 0.672801 0.536437 0.46999 0.420394 0.375346 0.333899 0.33863 \n", " 56 1.56155 1.16336 1.03639 0.876633 0.741003 0.620437 0.591805 \n", " \n", " 7 8 9 10 11 \n", " 0 0.859971 0.847822 0.868834 0.869066 0.828955 \n", " 1 0.908138 0.897058 0.976885 0.95552 0.965239 \n", " 2 0.9106 0.841841 0.815013 0.826101 0.87364 \n", " 3 0.76267 0.724579 0.715799 0.695899 0.683831 \n", " 4 0.76642 0.734854 0.73881 0.743683 0.72965 \n", " 5 0.858406 0.827297 0.842825 0.854255 0.854179 \n", " 6 0.867235 0.845544 0.887582 0.881923 0.864168 \n", " 7 0.841553 0.820393 0.823836 0.808939 0.803746 \n", " 8 0.853526 0.83958 0.872417 0.900779 0.925404 \n", " 9 0.915518 0.856434 0.877304 0.868033 0.846549 \n", " 10 0.901116 0.896409 0.900394 0.886772 0.861618 \n", " 11 0.946584 0.938935 1.02419 0.984152 0.941864 \n", " 12 0.859795 0.835201 0.842392 0.821372 0.818585 \n", " 13 0.90751 0.908445 0.963547 0.927805 0.919346 \n", " 14 0.870455 0.863779 0.876333 0.873001 0.845151 \n", " 15 0.830729 0.799937 0.804572 0.797848 0.776831 \n", " 16 0.834656 0.811823 0.813644 0.78107 0.765781 \n", " 17 0.816227 0.796917 0.817284 0.812356 0.802524 \n", " 18 0.766287 0.733575 0.724135 0.733742 0.730296 \n", " 19 0.802839 0.767877 0.792576 0.816629 0.824897 \n", " 20 0.851371 0.827287 0.868894 0.879259 0.863437 \n", " 21 0.748947 0.722718 0.704758 0.70763 0.730148 \n", " 22 0.76024 0.726567 0.735571 0.704932 0.683533 \n", " 23 0.876325 0.848142 0.969163 0.992409 0.944731 \n", " 24 0.780368 0.765414 0.787183 0.762335 0.579812 \n", " 25 0.713074 0.681369 0.672196 0.651501 0.643526 \n", " 26 0.802099 0.808366 0.810672 0.774815 0.761865 \n", " 27 0.676378 0.648132 0.636903 0.64898 0.634323 \n", " 28 0.757215 0.720693 0.711833 0.707874 0.702467 \n", " 29 0.716547 0.698625 0.680884 0.66888 0.668297 \n", " 30 0.766226 0.727069 0.73196 0.722882 0.717979 \n", " 31 0.854962 0.827222 0.864749 0.855296 0.84662 \n", " 32 0.750523 0.718299 0.737726 0.746337 0.733882 \n", " 33 0.782734 0.73304 0.728091 0.720957 0.715472 \n", " 34 0.679044 0.6306 0.613756 0.60586 0.567662 \n", " 35 0.733873 0.701531 0.692337 0.677599 0.664025 \n", " 36 0.728617 0.697109 0.680539 0.661057 0.645382 \n", " 37 0.707135 0.667429 0.653221 0.642125 0.631058 \n", " 38 0.761746 0.717101 0.702827 0.700685 0.700644 \n", " 39 0.736086 0.717669 0.700303 0.667869 0.645184 \n", " 40 0.699351 0.670145 0.681606 0.662806 0.58383 \n", " 41 0.826331 0.805226 0.779103 0.74716 0.685275 \n", " 42 0.734894 0.678558 0.664382 0.629831 0.611148 \n", " 43 0.6792 0.65681 0.657259 0.657746 0.688369 \n", " 44 0.821816 0.783112 0.776996 0.734687 0.694339 \n", " 45 0.642611 0.595792 0.5751 0.560537 0.562211 \n", " 46 0.732304 0.654735 0.762189 0.763881 0.689318 \n", " 47 0.691051 0.64311 0.600977 0.568588 0.555686 \n", " 48 0.648949 0.606367 0.590962 0.561766 0.544327 \n", " 49 0.743483 0.727622 0.723954 0.677175 0.650818 \n", " 50 0.607809 0.570827 0.566848 0.52957 0.515398 \n", " 51 0.608805 0.556868 0.513078 0.469844 0.44651 \n", " 52 0.604513 0.560677 0.526835 0.5134 0.493164 \n", " 53 0.417665 0.374791 0.35601 0.347561 0.335592 \n", " 54 0.41601 0.376499 0.353994 0.343024 0.340285 \n", " 55 0.325035 0.292078 0.278067 0.267045 0.252157 \n", " 56 0.527367 0.478619 0.448276 0.430765 0.414473 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.968332 0.956749 0.956047 0.954147 1.02658 1.4984 2.20776 \n", " 1 0.966303 0.973402 0.925044 0.892953 0.920604 0.985433 1.05041 \n", " 2 0.931895 0.880167 0.864097 0.877603 0.888108 0.882993 0.868546 \n", " 3 0.967466 0.937866 0.919788 0.898642 0.875622 0.846081 0.728907 \n", " 4 0.985656 0.960022 0.938079 0.896155 0.878594 0.850841 0.752688 \n", " 5 1.00663 1.0104 0.960956 0.919447 0.913494 0.901634 0.842863 \n", " 6 0.940154 0.913207 0.881759 0.867989 0.866059 0.840727 0.782174 \n", " 7 0.952502 0.959683 0.949305 0.9479 0.964222 0.926381 0.834285 \n", " 8 0.993212 0.985126 0.954099 0.916979 0.906654 0.858826 0.804319 \n", " 9 0.973236 0.96131 0.926311 0.924368 0.923081 0.908315 0.907624 \n", " 10 0.968483 0.946718 0.935854 0.917112 0.919566 0.890301 0.860452 \n", " 11 0.945582 0.932921 0.931108 1.00605 1.02538 0.959442 0.902685 \n", " 12 0.964936 0.945366 0.918245 0.902293 0.907781 0.919364 0.930491 \n", " 13 0.976188 0.979346 0.950942 0.92821 0.942651 0.924083 0.848184 \n", " 14 0.983801 0.990544 0.96463 0.928397 0.927797 0.898418 0.856664 \n", " 15 0.956757 0.913273 0.892839 0.887191 0.877139 0.837286 0.792212 \n", " 16 0.978155 0.981619 0.940787 0.916109 0.897356 0.838704 0.790576 \n", " 17 0.942802 0.944376 0.920526 0.900036 0.870827 0.83474 0.77575 \n", " 18 0.989829 0.987438 0.944887 0.88039 0.859671 0.802973 0.723096 \n", " 19 0.995459 0.985882 0.942126 0.888769 0.859199 0.817737 0.750767 \n", " 20 0.959943 0.937528 0.91652 0.902193 0.895417 0.866176 0.817682 \n", " 21 0.98134 0.946134 0.901089 0.856585 0.851936 0.814644 0.790636 \n", " 22 0.940578 0.888688 0.856926 0.826418 0.794797 0.766837 0.75012 \n", " 23 0.941884 0.907875 0.893016 0.947364 0.941929 0.868072 0.801719 \n", " 24 0.99034 0.946117 0.922713 0.909226 0.930297 0.982409 1.1547 \n", " 25 0.974663 0.917994 0.894294 0.868104 0.84801 0.776696 0.694777 \n", " 26 0.967482 0.95255 0.920078 0.889574 0.917011 0.853266 0.798059 \n", " 27 0.949167 0.918698 0.881268 0.83175 0.774722 0.708913 0.657003 \n", " 28 0.968305 0.938859 0.901309 0.862 0.832552 0.798182 0.745591 \n", " 29 0.961637 0.935356 0.900723 0.837217 0.803021 0.763019 0.708 \n", " 30 0.958807 0.920002 0.870122 0.828368 0.811143 0.779248 0.773885 \n", " 31 0.949341 0.906544 0.872375 0.892437 0.928972 0.91128 0.878589 \n", " 32 0.980208 0.940354 0.888607 0.855057 0.830939 0.787172 0.742783 \n", " 33 0.912698 0.854333 0.818251 0.798704 0.782832 0.76438 0.716457 \n", " 34 0.94411 0.887916 0.850568 0.810586 0.771551 0.735479 0.675843 \n", " 35 0.935126 0.891122 0.851948 0.815686 0.828653 0.760707 0.696869 \n", " 36 0.924768 0.880754 0.835054 0.819635 0.808349 0.792825 0.812773 \n", " 37 0.937742 0.905793 0.877718 0.844802 0.817093 0.852325 1.03624 \n", " 38 0.932817 0.959363 0.955627 0.91516 0.865871 0.814421 0.78032 \n", " 39 0.926519 0.908742 0.865123 0.846641 0.813416 0.761094 0.698254 \n", " 40 0.943266 0.894067 0.850634 0.798742 0.754697 0.675379 0.638156 \n", " 41 0.918141 0.874633 0.851007 0.812315 0.782696 0.883459 0.79443 \n", " 42 0.922566 0.897743 0.867824 0.828849 0.804148 0.75991 0.700554 \n", " 43 0.923478 0.864528 0.816496 0.779057 0.756154 0.707505 0.65186 \n", " 44 0.922896 0.902309 0.883159 0.862753 0.836234 0.791588 0.721388 \n", " 45 0.936857 0.903161 0.864625 0.778022 0.730591 0.682057 0.629046 \n", " 46 0.900878 0.847021 0.844348 0.919899 0.866196 0.777056 0.713656 \n", " 47 0.892312 0.825072 0.792877 0.762636 0.72648 0.691738 0.653808 \n", " 48 0.864977 0.801152 0.759417 0.71626 0.683784 0.666083 0.825515 \n", " 49 0.970676 0.943726 0.911982 0.875792 0.845947 0.822096 0.791236 \n", " 50 0.877772 0.753454 0.699262 0.669085 0.627589 0.588068 0.572047 \n", " 51 0.916564 0.804526 0.73202 0.714246 0.720709 0.684716 0.62314 \n", " 52 0.81644 0.744997 0.704917 0.638264 0.604007 0.564258 0.53054 \n", " 53 0.753112 0.618628 0.518833 0.446417 0.386855 0.366 0.34364 \n", " 54 0.68894 0.560316 0.465629 0.393529 0.351498 0.325326 0.310379 \n", " 55 1.15144 0.774688 0.617674 0.541164 0.484057 0.432188 0.384463 \n", " \n", " 7 8 9 10 11 \n", " 0 0.88369 0.832738 0.820973 0.84132 0.841545 \n", " 1 0.897133 0.877536 0.86683 0.943967 0.923321 \n", " 2 0.875024 0.848583 0.784507 0.759506 0.769839 \n", " 3 0.754741 0.737857 0.701005 0.692511 0.673259 \n", " 4 0.768144 0.755427 0.724313 0.728213 0.733016 \n", " 5 0.88481 0.864102 0.832785 0.848417 0.859922 \n", " 6 0.819245 0.815334 0.794942 0.834463 0.829143 \n", " 7 0.835816 0.801581 0.781426 0.784706 0.770517 \n", " 8 0.850203 0.847732 0.833881 0.866496 0.894665 \n", " 9 0.947988 0.891015 0.833512 0.853823 0.844801 \n", " 10 0.907363 0.872715 0.868157 0.872016 0.858823 \n", " 11 0.915469 0.895072 0.88784 0.968454 0.930596 \n", " 12 0.855855 0.829648 0.805916 0.812855 0.792572 \n", " 13 0.883801 0.8859 0.886813 0.940603 0.905712 \n", " 14 0.873933 0.856354 0.849787 0.862138 0.85886 \n", " 15 0.818604 0.794806 0.765345 0.76978 0.763347 \n", " 16 0.851471 0.816422 0.794088 0.79587 0.764007 \n", " 17 0.78842 0.769541 0.751335 0.770537 0.765891 \n", " 18 0.755347 0.758493 0.726114 0.71677 0.726279 \n", " 19 0.80014 0.799193 0.76439 0.788977 0.81292 \n", " 20 0.839616 0.817268 0.794148 0.834089 0.844038 \n", " 21 0.792779 0.734972 0.709232 0.691607 0.694426 \n", " 22 0.740535 0.715066 0.683393 0.691863 0.663043 \n", " 23 0.832942 0.825396 0.798851 0.912838 0.934733 \n", " 24 0.764056 0.77283 0.75802 0.779579 0.754971 \n", " 25 0.714743 0.695007 0.664105 0.655165 0.634994 \n", " 26 0.793399 0.776016 0.78208 0.784311 0.74962 \n", " 27 0.674808 0.641995 0.615185 0.604527 0.61599 \n", " 28 0.76453 0.733215 0.69785 0.689271 0.685437 \n", " 29 0.718694 0.689058 0.671824 0.654763 0.643219 \n", " 30 0.74747 0.734663 0.697119 0.701808 0.693104 \n", " 31 0.827191 0.811651 0.785316 0.820942 0.811968 \n", " 32 0.747195 0.735669 0.704082 0.723125 0.731565 \n", " 33 0.736674 0.714399 0.669044 0.664527 0.658016 \n", " 34 0.676111 0.641093 0.595356 0.579454 0.571999 \n", " 35 0.716961 0.686264 0.65602 0.647422 0.63364 \n", " 36 0.70303 0.673802 0.644664 0.629341 0.611325 \n", " 37 0.681663 0.66311 0.625876 0.612553 0.602147 \n", " 38 0.744773 0.71057 0.668924 0.655609 0.653611 \n", " 39 0.701295 0.681998 0.664934 0.648844 0.618794 \n", " 40 0.691721 0.659674 0.632124 0.642936 0.625202 \n", " 41 0.794265 0.758689 0.739311 0.715327 0.685998 \n", " 42 0.703237 0.677988 0.626014 0.612936 0.581061 \n", " 43 0.647307 0.627226 0.60655 0.606964 0.607414 \n", " 44 0.745791 0.758451 0.722731 0.717086 0.67804 \n", " 45 0.635384 0.602034 0.558172 0.538787 0.525143 \n", " 46 0.703245 0.659717 0.589836 0.686639 0.688164 \n", " 47 0.648861 0.616634 0.573855 0.536259 0.507358 \n", " 48 0.608172 0.561326 0.524493 0.511168 0.485915 \n", " 49 0.744614 0.721682 0.706285 0.702725 0.657317 \n", " 50 0.566985 0.533517 0.501056 0.497563 0.464841 \n", " 51 0.600563 0.558009 0.510405 0.470269 0.430642 \n", " 52 0.522726 0.493549 0.457759 0.430129 0.41916 \n", " 53 0.340109 0.314548 0.28226 0.268115 0.261752 \n", " 54 0.305268 0.286606 0.259385 0.243881 0.236323 \n", " 55 0.389911 0.374257 0.336309 0.320177 0.307485 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.957226 0.926913 0.915825 0.915153 0.913334 0.982671 1.4343 \n", " 1 0.949917 0.917907 0.924651 0.878715 0.848231 0.874498 0.936079 \n", " 2 0.937232 0.873401 0.82492 0.809859 0.822518 0.832363 0.827569 \n", " 3 0.963494 0.932147 0.903628 0.88621 0.865836 0.843656 0.815194 \n", " 4 0.98904 0.974854 0.9495 0.927798 0.886334 0.868965 0.841516 \n", " 5 1.0019 1.00854 1.01232 0.962778 0.92119 0.915225 0.903343 \n", " 6 1.09271 1.02731 0.997868 0.963505 0.948458 0.946349 0.918668 \n", " 7 0.986293 0.939447 0.946529 0.936293 0.934907 0.951005 0.913683 \n", " 8 0.995388 0.988632 0.980583 0.949698 0.912749 0.902472 0.854865 \n", " 9 0.976465 0.950331 0.938686 0.904511 0.902613 0.901356 0.886938 \n", " 10 0.971741 0.941114 0.919964 0.909408 0.891195 0.89358 0.865142 \n", " 11 0.967583 0.914929 0.902679 0.900924 0.973434 0.992137 0.92834 \n", " 12 0.9843 0.949787 0.930524 0.903828 0.888127 0.893529 0.90493 \n", " 13 0.971534 0.9484 0.951468 0.923872 0.901788 0.915817 0.897778 \n", " 14 0.979164 0.963303 0.969904 0.944531 0.909053 0.908466 0.879698 \n", " 15 0.969929 0.927986 0.88581 0.86599 0.860512 0.850762 0.812108 \n", " 16 0.964233 0.943169 0.94651 0.907138 0.883343 0.86526 0.808707 \n", " 17 0.991397 0.934692 0.936251 0.912607 0.892294 0.863336 0.827559 \n", " 18 0.974436 0.964525 0.962195 0.920731 0.857884 0.837694 0.782446 \n", " 19 1.01387 1.00927 0.999561 0.955197 0.9011 0.87112 0.829082 \n", " 20 0.993554 0.953755 0.931484 0.910612 0.896377 0.889645 0.860592 \n", " 21 0.974087 0.955911 0.921617 0.87774 0.834388 0.82986 0.793535 \n", " 22 0.964944 0.907605 0.857534 0.826886 0.797447 0.766935 0.739955 \n", " 23 0.968993 0.912678 0.879724 0.865326 0.917989 0.912723 0.841155 \n", " 24 0.999792 0.990135 0.945921 0.922522 0.909037 0.930104 0.982205 \n", " 25 0.972923 0.948272 0.893137 0.870079 0.844599 0.825049 0.755666 \n", " 26 0.928697 0.898498 0.88463 0.854473 0.826144 0.851625 0.792426 \n", " 27 0.948579 0.900359 0.871458 0.835953 0.78898 0.734885 0.67246 \n", " 28 0.962019 0.931528 0.9032 0.867077 0.82926 0.800931 0.767866 \n", " 29 0.925845 0.890327 0.865995 0.83393 0.775134 0.743473 0.706437 \n", " 30 0.971635 0.93161 0.893905 0.845441 0.804871 0.788134 0.757144 \n", " 31 0.979046 0.929449 0.887549 0.854095 0.873737 0.909506 0.892185 \n", " 32 1.02191 1.00169 0.960958 0.908077 0.873792 0.849146 0.804419 \n", " 33 1.057 0.964718 0.903027 0.864889 0.844227 0.827451 0.807946 \n", " 34 0.948644 0.895625 0.842316 0.806886 0.768958 0.731927 0.697708 \n", " 35 0.93497 0.874314 0.833173 0.796545 0.762642 0.774766 0.711238 \n", " 36 0.944656 0.873588 0.832009 0.788839 0.774273 0.763612 0.748946 \n", " 37 0.950509 0.891333 0.860965 0.834279 0.802993 0.776655 0.810143 \n", " 38 0.94755 0.883891 0.909044 0.905504 0.867159 0.820455 0.771704 \n", " 39 0.921453 0.853744 0.837364 0.79717 0.78014 0.749525 0.701313 \n", " 40 0.951345 0.897371 0.850566 0.809246 0.759879 0.717976 0.642518 \n", " 41 0.964755 0.885781 0.843807 0.821014 0.783685 0.75511 0.852321 \n", " 42 0.9425 0.869518 0.846122 0.817924 0.78119 0.757909 0.716215 \n", " 43 0.956857 0.883637 0.82723 0.78127 0.745447 0.723532 0.676981 \n", " 44 0.937456 0.865174 0.845875 0.827923 0.808792 0.783932 0.742079 \n", " 45 0.98599 0.923731 0.890507 0.852512 0.767122 0.720355 0.672501 \n", " 46 0.904242 0.814612 0.765911 0.763494 0.831811 0.783251 0.702647 \n", " 47 0.844179 0.753271 0.696508 0.66933 0.643802 0.613279 0.583951 \n", " 48 0.943236 0.815877 0.755675 0.716309 0.675602 0.64497 0.628273 \n", " 49 0.927875 0.900667 0.87566 0.846206 0.812626 0.784934 0.762803 \n", " 50 0.917055 0.804965 0.690959 0.641261 0.613588 0.575533 0.53929 \n", " 51 0.949613 0.870382 0.763988 0.695136 0.678258 0.684395 0.650216 \n", " 52 0.877613 0.716519 0.653819 0.618645 0.560149 0.530084 0.4952 \n", " 53 0.613701 0.462185 0.379652 0.318408 0.273966 0.237413 0.224614 \n", " 54 0.92843 0.639633 0.520214 0.432304 0.365364 0.326341 0.302043 \n", " \n", " 7 8 9 10 11 \n", " 0 2.11332 0.845891 0.797118 0.785857 0.805333 \n", " 1 0.997804 0.852201 0.833587 0.823416 0.89669 \n", " 2 0.814029 0.8201 0.795319 0.735265 0.711833 \n", " 3 0.702298 0.727188 0.71092 0.675414 0.66723 \n", " 4 0.744439 0.759725 0.747148 0.716375 0.720232 \n", " 5 0.84446 0.886487 0.865739 0.834364 0.850025 \n", " 6 0.854688 0.895195 0.890922 0.868639 0.911824 \n", " 7 0.82285 0.82436 0.790594 0.770715 0.77395 \n", " 8 0.800609 0.846281 0.843822 0.830035 0.862499 \n", " 9 0.886263 0.925677 0.870045 0.813896 0.833729 \n", " 10 0.836136 0.881722 0.848053 0.843623 0.847373 \n", " 11 0.873422 0.885793 0.866057 0.859059 0.937059 \n", " 12 0.915882 0.842418 0.816622 0.793263 0.800093 \n", " 13 0.82404 0.858642 0.860682 0.861569 0.913828 \n", " 14 0.838815 0.855724 0.838511 0.832081 0.844174 \n", " 15 0.76839 0.793988 0.770905 0.74233 0.746632 \n", " 16 0.7623 0.821017 0.787222 0.765686 0.767404 \n", " 17 0.769076 0.781637 0.76292 0.744871 0.763908 \n", " 18 0.704611 0.736037 0.739103 0.707551 0.698447 \n", " 19 0.761184 0.811241 0.810282 0.774996 0.799923 \n", " 20 0.812411 0.834204 0.812 0.789029 0.828712 \n", " 21 0.770148 0.772236 0.715927 0.690854 0.673685 \n", " 22 0.723824 0.714575 0.689998 0.659436 0.667608 \n", " 23 0.776859 0.807115 0.799803 0.774081 0.884534 \n", " 24 1.15446 0.763897 0.77267 0.757863 0.779417 \n", " 25 0.675964 0.69539 0.676189 0.646123 0.637425 \n", " 26 0.741155 0.736827 0.720684 0.726315 0.728387 \n", " 27 0.623219 0.640109 0.608983 0.583552 0.573441 \n", " 28 0.717273 0.735493 0.705367 0.671345 0.663092 \n", " 29 0.655498 0.6654 0.637961 0.622005 0.606209 \n", " 30 0.751933 0.726268 0.713824 0.677345 0.681901 \n", " 31 0.86018 0.809859 0.794644 0.768861 0.80374 \n", " 32 0.759058 0.763566 0.751788 0.719509 0.73897 \n", " 33 0.757292 0.778662 0.755117 0.707177 0.702403 \n", " 34 0.641134 0.641388 0.608169 0.564781 0.549695 \n", " 35 0.651551 0.670337 0.641636 0.613359 0.60532 \n", " 36 0.767791 0.664122 0.636511 0.608985 0.594511 \n", " 37 0.984961 0.647927 0.630293 0.594902 0.582237 \n", " 38 0.739391 0.705709 0.6733 0.633839 0.621222 \n", " 39 0.643409 0.646211 0.628429 0.612706 0.59788 \n", " 40 0.607106 0.658065 0.627577 0.601368 0.611653 \n", " 41 0.766431 0.766272 0.731949 0.713254 0.690115 \n", " 42 0.660272 0.662801 0.639004 0.590018 0.577692 \n", " 43 0.623737 0.619381 0.600166 0.580382 0.580778 \n", " 44 0.676269 0.699147 0.711014 0.677528 0.672237 \n", " 45 0.620233 0.626482 0.5936 0.550352 0.531238 \n", " 46 0.645318 0.635903 0.596544 0.533355 0.620888 \n", " 47 0.551931 0.547755 0.520549 0.484436 0.452699 \n", " 48 0.778655 0.57365 0.529462 0.49472 0.482152 \n", " 49 0.734168 0.690909 0.66963 0.655344 0.652042 \n", " 50 0.524599 0.519957 0.489264 0.459496 0.456292 \n", " 51 0.591742 0.570303 0.529893 0.484687 0.446574 \n", " 52 0.465609 0.458751 0.433145 0.401736 0.377487 \n", " 53 0.210892 0.208725 0.193038 0.173223 0.164543 \n", " 54 0.288165 0.28342 0.266093 0.240821 0.226426 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.93779 0.897676 0.869249 0.858851 0.858221 0.856515 0.921538 \n", " 1 1.00725 0.956806 0.924564 0.931357 0.885088 0.854383 0.88084 \n", " 2 0.915005 0.857572 0.799167 0.754806 0.741025 0.752608 0.761617 \n", " 3 0.985798 0.94981 0.918909 0.890795 0.873624 0.853539 0.831674 \n", " 4 0.985507 0.974706 0.960725 0.935739 0.914352 0.873488 0.856371 \n", " 5 0.99592 0.997807 1.00443 1.00819 0.958849 0.917431 0.911491 \n", " 6 1.01036 1.10402 1.03795 1.0082 0.973483 0.95828 0.95615 \n", " 7 0.969425 0.956138 0.910723 0.917589 0.907666 0.906323 0.921929 \n", " 8 1.00933 1.00467 0.997853 0.989729 0.958557 0.921263 0.91089 \n", " 9 0.968543 0.945748 0.920436 0.909157 0.876057 0.874219 0.873002 \n", " 10 0.977729 0.950099 0.920155 0.899476 0.889154 0.871347 0.873679 \n", " 11 0.952751 0.921866 0.871699 0.860028 0.858356 0.927441 0.945259 \n", " 12 0.976777 0.961442 0.92773 0.908914 0.882839 0.867502 0.872779 \n", " 13 0.970818 0.943183 0.920724 0.923702 0.896912 0.875472 0.889092 \n", " 14 0.979584 0.959173 0.943636 0.950103 0.925247 0.890494 0.889918 \n", " 15 0.970551 0.941365 0.900658 0.859724 0.840487 0.835171 0.825708 \n", " 16 0.976198 0.941283 0.92072 0.923981 0.885546 0.862318 0.844665 \n", " 17 0.991495 0.982965 0.926742 0.928288 0.904845 0.884705 0.855993 \n", " 18 0.997782 0.972274 0.962385 0.96006 0.918689 0.855981 0.835836 \n", " 19 0.984355 0.998012 0.99348 0.983923 0.940253 0.887002 0.857491 \n", " 20 0.968875 0.96263 0.92407 0.902492 0.88227 0.868478 0.861955 \n", " 21 0.972719 0.947513 0.929832 0.896474 0.853794 0.811625 0.80722 \n", " 22 1.00646 0.971177 0.913468 0.863074 0.832227 0.802598 0.771889 \n", " 23 0.914373 0.886021 0.834528 0.804396 0.791231 0.839384 0.834569 \n", " 24 1.01386 1.01365 1.00386 0.959028 0.935305 0.921634 0.942993 \n", " 25 0.977096 0.950639 0.926553 0.872681 0.85015 0.825254 0.806152 \n", " 26 0.985708 0.915423 0.885656 0.871987 0.842261 0.814337 0.839454 \n", " 27 0.992732 0.941685 0.893815 0.865124 0.829877 0.783246 0.729544 \n", " 28 0.98167 0.944385 0.914453 0.886644 0.851184 0.81406 0.78625 \n", " 29 0.992552 0.91895 0.883696 0.859545 0.827719 0.769361 0.737936 \n", " 30 0.97219 0.944614 0.905702 0.869046 0.82193 0.782488 0.766216 \n", " 31 0.958403 0.938321 0.890787 0.850629 0.818567 0.837392 0.871673 \n", " 32 0.970403 0.991665 0.972038 0.932516 0.881201 0.84793 0.824014 \n", " 33 0.972131 1.02754 0.937833 0.87786 0.840785 0.820699 0.804391 \n", " 34 0.951961 0.903072 0.8526 0.801852 0.768124 0.732018 0.696766 \n", " 35 0.970398 0.907293 0.848433 0.808509 0.772966 0.740066 0.751831 \n", " 36 0.923255 0.872158 0.806544 0.768157 0.728299 0.714851 0.705008 \n", " 37 0.937472 0.891076 0.8356 0.80713 0.782113 0.752784 0.728092 \n", " 38 0.909437 0.861736 0.803842 0.826718 0.823498 0.788626 0.746152 \n", " 39 0.912893 0.841189 0.779377 0.764424 0.727731 0.712185 0.684237 \n", " 40 1.0012 0.952482 0.898444 0.851583 0.810214 0.760788 0.718835 \n", " 41 0.965481 0.931453 0.855205 0.814679 0.792673 0.756633 0.729045 \n", " 42 0.946726 0.892289 0.823196 0.801046 0.77435 0.739574 0.717532 \n", " 43 0.976266 0.934148 0.862665 0.807597 0.762728 0.727755 0.70636 \n", " 44 0.995609 0.933339 0.861375 0.842161 0.824288 0.805241 0.78049 \n", " 45 0.970877 0.957274 0.896829 0.864572 0.827683 0.74478 0.699376 \n", " 46 0.858285 0.776097 0.699169 0.65737 0.655295 0.713931 0.672252 \n", " 47 0.926305 0.781967 0.697758 0.645179 0.620003 0.596356 0.568083 \n", " 48 0.998922 0.942219 0.814997 0.754861 0.715537 0.674874 0.644274 \n", " 49 0.916377 0.850284 0.825351 0.802435 0.775444 0.744672 0.719295 \n", " 50 0.845951 0.775783 0.68096 0.584517 0.542475 0.519065 0.486873 \n", " 51 0.888686 0.843908 0.773496 0.678946 0.617758 0.602758 0.608212 \n", " 52 0.852827 0.748452 0.611067 0.557595 0.527597 0.47771 0.45207 \n", " 53 1.48949 0.914103 0.688422 0.56549 0.474267 0.408071 0.353626 \n", " \n", " 7 8 9 10 11 \n", " 0 1.34508 1.98185 0.793268 0.747529 0.736968 \n", " 1 0.942868 1.00504 0.858382 0.839632 0.829388 \n", " 2 0.75723 0.74484 0.750396 0.727721 0.672771 \n", " 3 0.803616 0.692324 0.716861 0.700824 0.665822 \n", " 4 0.82932 0.73365 0.748714 0.736319 0.705992 \n", " 5 0.899657 0.841015 0.882869 0.862207 0.830959 \n", " 6 0.928182 0.863539 0.904466 0.900148 0.877634 \n", " 7 0.885747 0.797691 0.799155 0.766421 0.747151 \n", " 8 0.862839 0.808077 0.854175 0.851693 0.837778 \n", " 9 0.859037 0.858384 0.896558 0.842675 0.788292 \n", " 10 0.845874 0.817515 0.862085 0.829166 0.824835 \n", " 11 0.884477 0.832154 0.84394 0.825136 0.818469 \n", " 12 0.883915 0.894613 0.822854 0.797658 0.774841 \n", " 13 0.871579 0.799993 0.833585 0.835566 0.836426 \n", " 14 0.861738 0.821689 0.838253 0.821392 0.815093 \n", " 15 0.788192 0.745761 0.770605 0.748202 0.720469 \n", " 16 0.789458 0.744156 0.801475 0.768484 0.747461 \n", " 17 0.82052 0.762535 0.77499 0.756432 0.738536 \n", " 18 0.78071 0.703047 0.734404 0.737463 0.705981 \n", " 19 0.816111 0.749275 0.79855 0.797605 0.762871 \n", " 20 0.833807 0.787125 0.80824 0.786727 0.764471 \n", " 21 0.771886 0.749138 0.751168 0.696395 0.672006 \n", " 22 0.744735 0.7285 0.719191 0.694455 0.663696 \n", " 23 0.76913 0.710339 0.738004 0.731318 0.707799 \n", " 24 0.995815 1.17046 0.774482 0.783377 0.768364 \n", " 25 0.738358 0.660482 0.679463 0.660701 0.631324 \n", " 26 0.7811 0.730562 0.726296 0.710384 0.715934 \n", " 27 0.667572 0.618689 0.635457 0.604557 0.57931 \n", " 28 0.753791 0.704125 0.722011 0.692437 0.65904 \n", " 29 0.701176 0.650616 0.660444 0.63321 0.617372 \n", " 30 0.736088 0.731022 0.70607 0.693973 0.658508 \n", " 31 0.855073 0.824398 0.776171 0.761589 0.736879 \n", " 32 0.780611 0.736592 0.740967 0.729537 0.698214 \n", " 33 0.78543 0.736187 0.756961 0.734073 0.687469 \n", " 34 0.66419 0.610335 0.610576 0.578953 0.537649 \n", " 35 0.690184 0.632264 0.650494 0.622642 0.595202 \n", " 36 0.691468 0.708866 0.613154 0.587662 0.562249 \n", " 37 0.759486 0.923373 0.607413 0.590882 0.557704 \n", " 38 0.701816 0.67243 0.641798 0.612324 0.576436 \n", " 39 0.640224 0.587363 0.589922 0.573689 0.559335 \n", " 40 0.643286 0.607832 0.658852 0.628328 0.602087 \n", " 41 0.8229 0.739974 0.739821 0.706683 0.688633 \n", " 42 0.67806 0.625097 0.627491 0.604962 0.558586 \n", " 43 0.660914 0.608933 0.604681 0.585922 0.566607 \n", " 44 0.73882 0.673299 0.696077 0.707892 0.674553 \n", " 45 0.652916 0.60217 0.608237 0.576312 0.534323 \n", " 46 0.603071 0.553866 0.545786 0.512004 0.45777 \n", " 47 0.540916 0.511256 0.507388 0.482187 0.448735 \n", " 48 0.627596 0.777815 0.573031 0.528891 0.494187 \n", " 49 0.699015 0.672775 0.633133 0.613634 0.600543 \n", " 50 0.456213 0.443785 0.439858 0.413894 0.388711 \n", " 51 0.577838 0.525873 0.50682 0.470908 0.430735 \n", " 52 0.42232 0.397084 0.391235 0.369398 0.342611 \n", " 53 0.334562 0.314122 0.310895 0.28753 0.258015 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.995805 0.933855 0.89391 0.865602 0.855248 0.85462 0.852922 \n", " 1 0.979296 0.986398 0.936996 0.905422 0.912074 0.866763 0.836693 \n", " 2 0.937463 0.857784 0.803942 0.749189 0.707603 0.694684 0.705542 \n", " 3 0.982939 0.968979 0.933605 0.903231 0.875597 0.858719 0.838977 \n", " 4 0.987483 0.973172 0.962506 0.9487 0.924027 0.902907 0.862555 \n", " 5 0.997628 0.993557 0.99544 1.00204 1.0058 0.956575 0.915255 \n", " 6 0.997777 1.00811 1.10157 1.03564 1.00596 0.971318 0.956149 \n", " 7 0.983322 0.953257 0.940191 0.895534 0.902286 0.892528 0.891207 \n", " 8 1.00322 1.01257 1.0079 1.00106 0.992913 0.96164 0.924226 \n", " 9 0.944579 0.914865 0.893333 0.869424 0.858771 0.827505 0.825769 \n", " 10 1.00103 0.978737 0.951079 0.921104 0.900403 0.890071 0.872246 \n", " 11 0.937237 0.892953 0.864006 0.816989 0.80605 0.804483 0.869231 \n", " 12 0.994903 0.971798 0.956541 0.923001 0.904281 0.878339 0.86308 \n", " 13 0.998914 0.969764 0.942159 0.919724 0.922699 0.895938 0.874521 \n", " 14 0.985284 0.965168 0.945058 0.929749 0.936121 0.911631 0.877389 \n", " 15 0.993406 0.964151 0.935158 0.894719 0.854055 0.834945 0.829664 \n", " 16 0.969513 0.946437 0.912586 0.89265 0.895812 0.858549 0.836028 \n", " 17 0.991816 0.98338 0.97492 0.919157 0.920691 0.897439 0.877464 \n", " 18 0.982334 0.980155 0.955098 0.945384 0.9431 0.902459 0.840859 \n", " 19 0.974144 0.958904 0.972208 0.967793 0.958482 0.915942 0.864068 \n", " 20 0.998657 0.967574 0.961337 0.922828 0.90128 0.881084 0.867311 \n", " 21 0.962645 0.936383 0.912119 0.895098 0.862986 0.821901 0.781307 \n", " 22 0.979419 0.985746 0.95119 0.894668 0.845311 0.815099 0.78608 \n", " 23 0.962995 0.880536 0.853233 0.803647 0.774629 0.761951 0.808323 \n", " 24 0.991409 1.00515 1.00494 0.995231 0.950789 0.92727 0.913716 \n", " 25 0.953269 0.931435 0.906215 0.883254 0.8319 0.810422 0.786689 \n", " 26 0.971776 0.957887 0.889586 0.860659 0.847376 0.818489 0.791353 \n", " 27 0.966088 0.959066 0.90975 0.863504 0.835785 0.801734 0.756684 \n", " 28 0.973855 0.956005 0.919695 0.890545 0.863463 0.828929 0.792777 \n", " 29 0.979939 0.97264 0.900515 0.865968 0.842302 0.811114 0.753926 \n", " 30 0.958083 0.931439 0.905018 0.867737 0.832618 0.787477 0.749688 \n", " 31 0.94548 0.906151 0.887163 0.842221 0.804253 0.773939 0.791738 \n", " 32 0.960519 0.93209 0.952513 0.933661 0.895699 0.84641 0.814453 \n", " 33 0.944658 0.918332 0.970673 0.885931 0.829278 0.794255 0.77528 \n", " 34 0.948519 0.902953 0.856581 0.808707 0.760572 0.728581 0.694333 \n", " 35 0.943385 0.915459 0.855927 0.800399 0.762735 0.729205 0.698167 \n", " 36 0.92542 0.854399 0.807113 0.746392 0.710868 0.673983 0.661538 \n", " 37 0.940422 0.88162 0.837988 0.785816 0.759043 0.735517 0.707934 \n", " 38 0.944612 0.859064 0.814006 0.759319 0.780927 0.777886 0.744946 \n", " 39 0.905099 0.826259 0.761359 0.705414 0.691879 0.658669 0.644598 \n", " 40 0.912515 0.913606 0.869154 0.819843 0.777082 0.739332 0.69423 \n", " 41 0.966514 0.933151 0.900262 0.826568 0.787399 0.76613 0.731297 \n", " 42 0.920488 0.871451 0.821342 0.757742 0.737354 0.71278 0.680769 \n", " 43 0.932598 0.910464 0.871184 0.80452 0.753164 0.711319 0.678703 \n", " 44 0.934233 0.93013 0.871956 0.804725 0.786774 0.770076 0.752282 \n", " 45 0.925509 0.898555 0.885966 0.830023 0.800169 0.766028 0.689301 \n", " 46 0.838938 0.720047 0.651097 0.586559 0.551492 0.549752 0.598943 \n", " 47 0.89727 0.831145 0.701635 0.626077 0.578899 0.55631 0.535092 \n", " 48 0.853903 0.852982 0.804564 0.695929 0.644578 0.610999 0.576277 \n", " 49 0.878353 0.804903 0.746849 0.724949 0.704821 0.681113 0.654085 \n", " 50 0.778441 0.658523 0.603901 0.530087 0.455012 0.422285 0.404061 \n", " 51 0.74059 0.658153 0.62499 0.572844 0.502821 0.457505 0.446397 \n", " 52 1.57876 1.34641 1.18163 0.964727 0.880307 0.832948 0.754189 \n", " \n", " 7 8 9 10 11 \n", " 0 0.917672 1.33943 1.97353 0.78994 0.744393 \n", " 1 0.862603 0.923347 0.984232 0.84061 0.822248 \n", " 2 0.713988 0.709875 0.698261 0.703469 0.682212 \n", " 3 0.817485 0.789906 0.680511 0.70463 0.688867 \n", " 4 0.845652 0.818939 0.724467 0.739343 0.727103 \n", " 5 0.909329 0.897523 0.83902 0.880775 0.860162 \n", " 6 0.954024 0.926118 0.861619 0.902455 0.898147 \n", " 7 0.906553 0.870975 0.784388 0.785827 0.753639 \n", " 8 0.913819 0.865614 0.810676 0.856922 0.854433 \n", " 9 0.824619 0.811428 0.810811 0.84687 0.795973 \n", " 10 0.87458 0.846747 0.818358 0.862974 0.830021 \n", " 11 0.885932 0.828964 0.779925 0.790971 0.773348 \n", " 12 0.86833 0.879409 0.890053 0.81866 0.793592 \n", " 13 0.888127 0.870633 0.799124 0.83268 0.834658 \n", " 14 0.876822 0.849057 0.809597 0.825917 0.809304 \n", " 15 0.820263 0.782995 0.740844 0.765524 0.743269 \n", " 16 0.818914 0.76539 0.721468 0.77704 0.745055 \n", " 17 0.848987 0.813805 0.756295 0.768647 0.750241 \n", " 18 0.82107 0.766918 0.690628 0.721431 0.724435 \n", " 19 0.83532 0.79501 0.729902 0.777902 0.776982 \n", " 20 0.860797 0.832687 0.786068 0.807154 0.78567 \n", " 21 0.777067 0.743052 0.721154 0.723108 0.670381 \n", " 22 0.756003 0.729408 0.713507 0.704389 0.680163 \n", " 23 0.803685 0.740668 0.684053 0.710694 0.704256 \n", " 24 0.934892 0.98726 1.16041 0.767829 0.776647 \n", " 25 0.76848 0.703854 0.629617 0.647711 0.629826 \n", " 26 0.815761 0.759054 0.709942 0.705797 0.690334 \n", " 27 0.704803 0.644933 0.597708 0.613907 0.584055 \n", " 28 0.765694 0.734083 0.685716 0.703134 0.674334 \n", " 29 0.723132 0.68711 0.637564 0.647195 0.620507 \n", " 30 0.734099 0.705233 0.70038 0.676474 0.664883 \n", " 31 0.82415 0.808454 0.779452 0.733854 0.720067 \n", " 32 0.79148 0.749791 0.70751 0.711712 0.700734 \n", " 33 0.759874 0.741963 0.695445 0.715069 0.693448 \n", " 34 0.660896 0.629997 0.578914 0.579144 0.549148 \n", " 35 0.709266 0.651109 0.596469 0.613666 0.587391 \n", " 36 0.652429 0.639899 0.655999 0.567425 0.543834 \n", " 37 0.684714 0.714238 0.868361 0.571225 0.555678 \n", " 38 0.704824 0.662944 0.635185 0.60625 0.578408 \n", " 39 0.619302 0.579466 0.531622 0.533938 0.519245 \n", " 40 0.655948 0.587008 0.554656 0.601212 0.573358 \n", " 41 0.704632 0.795344 0.715195 0.715047 0.683019 \n", " 42 0.66048 0.624146 0.575394 0.577598 0.55686 \n", " 43 0.65875 0.616367 0.56789 0.563924 0.54643 \n", " 44 0.729159 0.69023 0.629018 0.650297 0.661336 \n", " 45 0.647279 0.604279 0.557314 0.562929 0.533382 \n", " 46 0.563978 0.505939 0.464659 0.45788 0.42954 \n", " 47 0.509724 0.485348 0.458735 0.455263 0.432652 \n", " 48 0.550148 0.535906 0.664179 0.489313 0.451622 \n", " 49 0.631795 0.613982 0.590934 0.556114 0.538987 \n", " 50 0.379002 0.355135 0.34546 0.342403 0.322192 \n", " 51 0.450436 0.427941 0.389456 0.375346 0.34875 \n", " 52 0.71371 0.666741 0.6269 0.617666 0.58319 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.922551 0.91868 0.861529 0.824678 0.798562 0.78901 0.788431 \n", " 1 1.03357 1.01217 1.01951 0.968449 0.935815 0.94269 0.895858 \n", " 2 1.09264 1.02431 0.937252 0.878423 0.818597 0.773158 0.759042 \n", " 3 0.986324 0.969496 0.955727 0.920837 0.890879 0.863622 0.846975 \n", " 4 0.992112 0.979694 0.965495 0.954914 0.941217 0.916738 0.895785 \n", " 5 0.969288 0.966989 0.963043 0.964868 0.97127 0.974905 0.927196 \n", " 6 0.963297 0.961156 0.971109 1.06114 0.997633 0.969039 0.935668 \n", " 7 1.0089 0.992075 0.961743 0.94856 0.903506 0.910317 0.900473 \n", " 8 0.990257 0.993442 1.00271 0.998083 0.991309 0.983238 0.95227 \n", " 9 0.975386 0.921329 0.892346 0.871345 0.848024 0.837633 0.807137 \n", " 10 0.961371 0.962362 0.94093 0.91434 0.885522 0.865622 0.855689 \n", " 11 0.965889 0.905266 0.862493 0.834534 0.78912 0.778554 0.777041 \n", " 12 0.958802 0.953915 0.931762 0.917134 0.884976 0.867027 0.842153 \n", " 13 0.989431 0.988357 0.959514 0.932201 0.910003 0.912947 0.886469 \n", " 14 0.981429 0.966986 0.947244 0.927507 0.912482 0.918736 0.894701 \n", " 15 0.987706 0.981193 0.952298 0.923661 0.883719 0.843555 0.82468 \n", " 16 0.946301 0.917451 0.895614 0.863581 0.844716 0.847708 0.812445 \n", " 17 0.954175 0.946365 0.938317 0.930244 0.877037 0.8785 0.856314 \n", " 18 0.942032 0.925391 0.923338 0.899733 0.890582 0.888431 0.850146 \n", " 19 0.952949 0.928309 0.913786 0.926464 0.922257 0.913384 0.872845 \n", " 20 0.962048 0.960756 0.930853 0.924852 0.887806 0.867075 0.847646 \n", " 21 0.943095 0.907866 0.883098 0.860215 0.844163 0.813878 0.77513 \n", " 22 0.969652 0.949696 0.955831 0.922323 0.867517 0.819658 0.790363 \n", " 23 0.992367 0.955644 0.873815 0.84672 0.797512 0.768716 0.756135 \n", " 24 0.956663 0.948444 0.961587 0.961387 0.9521 0.909585 0.887084 \n", " 25 0.968359 0.923107 0.901964 0.877541 0.855307 0.805578 0.78478 \n", " 26 0.970115 0.942734 0.92926 0.863001 0.834938 0.822052 0.794028 \n", " 27 0.97542 0.942341 0.935492 0.887388 0.842279 0.815242 0.782027 \n", " 28 0.964159 0.938952 0.921741 0.886732 0.858627 0.832516 0.79922 \n", " 29 0.96906 0.94962 0.942547 0.872653 0.839175 0.816241 0.786019 \n", " 30 0.943875 0.90431 0.879161 0.854224 0.819036 0.785887 0.743279 \n", " 31 0.946427 0.894827 0.857605 0.839635 0.7971 0.761166 0.732477 \n", " 32 0.969823 0.931533 0.903963 0.923769 0.905486 0.86867 0.820868 \n", " 33 0.933837 0.882156 0.857572 0.90645 0.827315 0.77441 0.741704 \n", " 34 0.96843 0.918574 0.874447 0.829539 0.783176 0.736561 0.705579 \n", " 35 0.94469 0.891207 0.864825 0.808586 0.756129 0.720549 0.688872 \n", " 36 0.954529 0.883341 0.815549 0.770413 0.712453 0.678544 0.643336 \n", " 37 0.934368 0.8787 0.823757 0.782989 0.734242 0.709226 0.687243 \n", " 38 0.896719 0.847052 0.77034 0.729935 0.680896 0.700273 0.697546 \n", " 39 0.919454 0.832196 0.759707 0.700034 0.648595 0.636151 0.605616 \n", " 40 0.895342 0.817013 0.81799 0.778191 0.73404 0.695754 0.661955 \n", " 41 0.943376 0.911786 0.880312 0.849286 0.779764 0.742813 0.722748 \n", " 42 0.900212 0.828634 0.78449 0.739382 0.682128 0.663774 0.641653 \n", " 43 0.943453 0.879863 0.85898 0.821922 0.759027 0.710575 0.671096 \n", " 44 0.922329 0.86167 0.857886 0.80423 0.742221 0.725665 0.710264 \n", " 45 0.87515 0.809959 0.786371 0.775353 0.726395 0.700269 0.67039 \n", " 46 0.857069 0.719027 0.61713 0.558035 0.502721 0.472667 0.471175 \n", " 47 0.880857 0.790367 0.73212 0.61804 0.551485 0.509928 0.49003 \n", " 48 0.866156 0.739614 0.738816 0.696878 0.602783 0.558305 0.529221 \n", " 49 0.921036 0.808995 0.741344 0.687875 0.667704 0.649166 0.62733 \n", " 50 0.839941 0.653845 0.553121 0.507242 0.445242 0.382183 0.354695 \n", " 51 1.08458 0.803232 0.713822 0.677855 0.621297 0.545352 0.496203 \n", " \n", " 7 8 9 10 11 \n", " 0 0.786864 0.846599 1.23569 1.82069 0.72876 \n", " 1 0.864779 0.891558 0.954342 1.01727 0.868827 \n", " 2 0.770907 0.780134 0.775641 0.76295 0.768641 \n", " 3 0.827503 0.806305 0.779103 0.671205 0.694994 \n", " 4 0.855751 0.838982 0.81248 0.718753 0.733511 \n", " 5 0.887146 0.881401 0.869958 0.813252 0.853725 \n", " 6 0.921056 0.919008 0.892127 0.829995 0.869332 \n", " 7 0.89914 0.914622 0.878728 0.79137 0.792822 \n", " 8 0.915221 0.904916 0.85718 0.802777 0.848573 \n", " 9 0.805443 0.804322 0.791456 0.790854 0.826025 \n", " 10 0.838552 0.840796 0.814038 0.786745 0.829638 \n", " 11 0.839581 0.855711 0.800687 0.753321 0.76399 \n", " 12 0.827523 0.832557 0.84318 0.853385 0.784933 \n", " 13 0.865279 0.87874 0.861431 0.790678 0.82388 \n", " 14 0.861095 0.860538 0.833288 0.794562 0.810579 \n", " 15 0.819464 0.810179 0.773368 0.731736 0.756113 \n", " 16 0.791134 0.774939 0.724289 0.682726 0.735314 \n", " 17 0.837254 0.810082 0.776512 0.721637 0.733423 \n", " 18 0.792117 0.773475 0.722462 0.650594 0.679611 \n", " 19 0.823412 0.796017 0.757604 0.695559 0.741301 \n", " 20 0.834395 0.828128 0.801085 0.756235 0.776521 \n", " 21 0.736847 0.732848 0.700769 0.680116 0.68196 \n", " 22 0.762224 0.73306 0.707272 0.691853 0.683013 \n", " 23 0.802152 0.797551 0.735014 0.678831 0.705269 \n", " 24 0.874118 0.894376 0.944475 1.11012 0.734553 \n", " 25 0.761797 0.744164 0.681583 0.609695 0.627216 \n", " 26 0.767703 0.791382 0.73637 0.688725 0.684704 \n", " 27 0.738085 0.68748 0.629081 0.583017 0.598817 \n", " 28 0.764363 0.738251 0.707774 0.66114 0.677934 \n", " 29 0.7306 0.700759 0.665851 0.617838 0.627171 \n", " 30 0.707612 0.692897 0.665652 0.661071 0.638506 \n", " 31 0.749322 0.779997 0.765142 0.737694 0.694539 \n", " 32 0.789876 0.767596 0.727165 0.68616 0.690235 \n", " 33 0.723985 0.709598 0.692872 0.649432 0.667758 \n", " 34 0.672413 0.640031 0.610108 0.560638 0.56086 \n", " 35 0.659552 0.670037 0.615096 0.563478 0.579725 \n", " 36 0.631458 0.622763 0.610802 0.626171 0.541624 \n", " 37 0.661471 0.639775 0.667361 0.811368 0.533734 \n", " 38 0.668007 0.632029 0.594475 0.569583 0.543636 \n", " 39 0.592678 0.569419 0.532792 0.488802 0.490931 \n", " 40 0.621574 0.587298 0.525574 0.496607 0.53829 \n", " 41 0.689887 0.664732 0.750309 0.674698 0.674558 \n", " 42 0.612836 0.594572 0.561864 0.517977 0.519961 \n", " 43 0.640324 0.621499 0.581514 0.535777 0.532036 \n", " 44 0.693852 0.672525 0.636619 0.580162 0.599788 \n", " 45 0.603242 0.566466 0.528835 0.487733 0.492647 \n", " 46 0.513336 0.483368 0.433624 0.398245 0.392435 \n", " 47 0.47134 0.448994 0.427522 0.40408 0.401022 \n", " 48 0.499146 0.476514 0.464178 0.575283 0.423822 \n", " 49 0.602435 0.581906 0.5655 0.544271 0.512201 \n", " 50 0.339388 0.318339 0.298293 0.290166 0.287599 \n", " 51 0.484155 0.488536 0.464138 0.422398 0.407095 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.472287 0.435709 0.433881 0.406889 0.389485 0.37715 0.372639 \n", " 1 0.898731 0.9289 0.909668 0.916265 0.870376 0.841046 0.847225 \n", " 2 1.13749 1.24288 1.16515 1.06612 0.9992 0.931149 0.879463 \n", " 3 1.08361 1.0688 1.05056 1.03564 0.997833 0.965369 0.935834 \n", " 4 1.07916 1.07065 1.05724 1.04192 1.0305 1.01572 0.989305 \n", " 5 1.03328 1.00154 0.999168 0.995092 0.996977 1.00359 1.00735 \n", " 6 1.04188 1.00364 1.0014 1.01178 1.10557 1.03941 1.00962 \n", " 7 1.07435 1.08391 1.06583 1.03325 1.01908 0.970679 0.977997 \n", " 8 1.05111 1.04086 1.04421 1.05395 1.04909 1.04197 1.03349 \n", " 9 1.11081 1.08347 1.02342 0.991228 0.967899 0.941994 0.930451 \n", " 10 1.08184 1.04005 1.04112 1.01793 0.989166 0.957991 0.936462 \n", " 11 1.06308 1.02682 0.96237 0.916899 0.887176 0.838898 0.827665 \n", " 12 0.931484 0.893109 0.888556 0.867922 0.854295 0.824341 0.807622 \n", " 13 1.05533 1.04418 1.04305 1.01261 0.983784 0.960358 0.963465 \n", " 14 1.04437 1.02498 1.00989 0.989274 0.968662 0.952971 0.959501 \n", " 15 1.07462 1.06141 1.05441 1.02336 0.992588 0.949665 0.906504 \n", " 16 1.08113 1.02308 0.991886 0.968277 0.933645 0.913249 0.916484 \n", " 17 1.02348 0.976574 0.968582 0.960344 0.952082 0.897625 0.899123 \n", " 18 1.07534 1.013 0.995108 0.9929 0.967517 0.957677 0.955363 \n", " 19 1.07302 1.02253 0.996092 0.980508 0.994112 0.989597 0.980077 \n", " 20 1.03027 0.991173 0.989842 0.959033 0.952851 0.914683 0.893324 \n", " 21 1.02411 0.965832 0.929754 0.904389 0.880954 0.864515 0.8335 \n", " 22 1.02594 0.9948 0.974327 0.980621 0.946244 0.890016 0.840916 \n", " 23 1.04569 1.03771 0.999309 0.913741 0.885408 0.833951 0.80384 \n", " 24 0.689004 0.659144 0.653482 0.662537 0.6624 0.656001 0.626707 \n", " 25 1.03245 0.999781 0.95306 0.931231 0.906016 0.883061 0.831717 \n", " 26 1.01497 0.984638 0.956848 0.943172 0.875921 0.847438 0.834358 \n", " 27 1.03047 1.00514 0.971057 0.963999 0.914429 0.867946 0.840084 \n", " 28 1.05909 1.02113 0.99443 0.976202 0.939125 0.909359 0.881706 \n", " 29 1.05695 1.02425 1.0037 0.996224 0.922349 0.886965 0.862725 \n", " 30 1.00575 0.949305 0.909512 0.884219 0.859138 0.823747 0.790408 \n", " 31 1.03026 0.975064 0.921904 0.883555 0.865041 0.821219 0.784198 \n", " 32 1.0303 0.999207 0.959757 0.931351 0.951758 0.932921 0.894989 \n", " 33 0.999799 0.933649 0.881979 0.857399 0.906268 0.827149 0.774254 \n", " 34 1.01676 0.984661 0.93397 0.889103 0.843442 0.796302 0.748906 \n", " 35 1.04288 0.985203 0.929426 0.901913 0.843262 0.788556 0.75145 \n", " 36 0.935469 0.892932 0.826338 0.762921 0.720697 0.666478 0.634757 \n", " 37 0.717218 0.670146 0.63022 0.590814 0.561574 0.526612 0.50867 \n", " 38 0.94111 0.843911 0.797168 0.724974 0.686949 0.640798 0.659033 \n", " 39 1.01073 0.929319 0.841126 0.767858 0.707545 0.655554 0.642976 \n", " 40 1.10409 0.988534 0.902052 0.903131 0.859189 0.810443 0.768172 \n", " 41 1.03274 0.974261 0.941637 0.909132 0.87709 0.805292 0.767132 \n", " 42 1.01754 0.916003 0.84317 0.798251 0.752351 0.694094 0.675418 \n", " 43 1.02363 0.965743 0.90065 0.879274 0.84134 0.776959 0.727363 \n", " 44 1.06276 0.980212 0.915746 0.911725 0.854702 0.788801 0.771206 \n", " 45 0.984207 0.861329 0.797168 0.773952 0.763108 0.714923 0.689209 \n", " 46 0.958528 0.821524 0.689208 0.591536 0.534892 0.481872 0.453064 \n", " 47 1.0177 0.896453 0.80436 0.745082 0.628983 0.561249 0.518956 \n", " 48 0.898069 0.777868 0.664224 0.663508 0.625844 0.541341 0.501396 \n", " 49 0.769684 0.708907 0.62267 0.570601 0.529446 0.513921 0.499653 \n", " 50 1.49919 1.25923 0.98024 0.829235 0.760454 0.667505 0.572967 \n", " \n", " 7 8 9 10 11 \n", " 0 0.372366 0.371625 0.399838 0.583603 0.859887 \n", " 1 0.805136 0.777204 0.801272 0.857697 0.914253 \n", " 2 0.863406 0.876901 0.887398 0.882287 0.867851 \n", " 3 0.917795 0.896694 0.873724 0.844248 0.727328 \n", " 4 0.966694 0.923491 0.905394 0.876794 0.775648 \n", " 5 0.958052 0.916668 0.910733 0.898909 0.840315 \n", " 6 0.97485 0.959626 0.957493 0.929486 0.864752 \n", " 7 0.96742 0.965988 0.982622 0.944059 0.850206 \n", " 8 1.00094 0.961994 0.951162 0.900987 0.843803 \n", " 9 0.896576 0.894695 0.893449 0.879157 0.878489 \n", " 10 0.925716 0.907176 0.909604 0.880656 0.85113 \n", " 11 0.826056 0.892541 0.90969 0.851194 0.80084 \n", " 12 0.784452 0.770824 0.775513 0.785408 0.794914 \n", " 13 0.935521 0.913158 0.927364 0.909098 0.83443 \n", " 14 0.9344 0.899303 0.898722 0.870263 0.829818 \n", " 15 0.886221 0.880615 0.870637 0.83108 0.78634 \n", " 16 0.878361 0.855321 0.837811 0.783052 0.738117 \n", " 17 0.876416 0.856908 0.829099 0.794741 0.738578 \n", " 18 0.914194 0.851793 0.831747 0.77689 0.699608 \n", " 19 0.936578 0.883536 0.85414 0.812922 0.746347 \n", " 20 0.873307 0.859655 0.853199 0.825337 0.779129 \n", " 21 0.793818 0.754611 0.750516 0.717664 0.696513 \n", " 22 0.810861 0.781993 0.752072 0.725615 0.709797 \n", " 23 0.790684 0.838804 0.833992 0.768598 0.709848 \n", " 24 0.611205 0.602271 0.616229 0.650747 0.764875 \n", " 25 0.810245 0.786517 0.768311 0.7037 0.629479 \n", " 26 0.805915 0.779196 0.803229 0.747394 0.699036 \n", " 27 0.805858 0.760576 0.708429 0.648251 0.600783 \n", " 28 0.846442 0.809526 0.78187 0.749593 0.700203 \n", " 29 0.830782 0.772207 0.740666 0.70377 0.653023 \n", " 30 0.747555 0.711682 0.696883 0.669481 0.664874 \n", " 31 0.75464 0.771995 0.803599 0.788295 0.760016 \n", " 32 0.845738 0.813807 0.790853 0.749197 0.706949 \n", " 33 0.741555 0.72384 0.709456 0.692733 0.649302 \n", " 34 0.717405 0.683682 0.650758 0.620334 0.570034 \n", " 35 0.718415 0.687837 0.698771 0.641475 0.587643 \n", " 36 0.601821 0.590709 0.582575 0.571387 0.585763 \n", " 37 0.492904 0.474419 0.458858 0.478644 0.581928 \n", " 38 0.656467 0.628668 0.594809 0.559466 0.53604 \n", " 39 0.612114 0.599037 0.575529 0.538509 0.494047 \n", " 40 0.730855 0.686271 0.648427 0.580278 0.548297 \n", " 41 0.74641 0.712474 0.686495 0.774873 0.696787 \n", " 42 0.652908 0.623586 0.605002 0.571719 0.527063 \n", " 43 0.686951 0.655452 0.636183 0.595252 0.548436 \n", " 44 0.754838 0.737396 0.714731 0.676572 0.616571 \n", " 45 0.659803 0.593715 0.55752 0.520483 0.480031 \n", " 46 0.451635 0.492047 0.463321 0.415641 0.381729 \n", " 47 0.498706 0.479685 0.456943 0.435091 0.411234 \n", " 48 0.475277 0.448267 0.427942 0.416864 0.516644 \n", " 49 0.482846 0.463685 0.447884 0.435256 0.418917 \n", " 50 0.531756 0.508808 0.477252 0.447198 0.435015 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.29902 0.613511 0.565995 0.56362 0.528557 0.505948 0.489926 \n", " 1 1.07498 0.966117 0.998547 0.977873 0.984965 0.935635 0.904106 \n", " 2 0.961183 1.09334 1.19463 1.11992 1.02474 0.960415 0.895005 \n", " 3 0.930071 1.00784 0.994055 0.977095 0.963219 0.928055 0.897862 \n", " 4 0.93988 1.01428 1.00628 0.993684 0.979282 0.968549 0.954657 \n", " 5 0.925565 0.956366 0.926994 0.924795 0.921022 0.922767 0.92889 \n", " 6 0.901416 0.939163 0.904693 0.902682 0.91203 0.996582 0.93694 \n", " 7 0.923707 0.992382 1.00121 0.984517 0.954416 0.941334 0.896623 \n", " 8 0.946724 0.995107 0.985412 0.988581 0.997802 0.9932 0.986459 \n", " 9 0.947941 1.05298 1.02706 0.970143 0.939625 0.917511 0.892955 \n", " 10 0.92978 1.00587 0.967015 0.968012 0.946453 0.919707 0.890721 \n", " 11 0.938531 0.997733 0.963699 0.903214 0.860538 0.832642 0.787331 \n", " 12 0.994729 0.926574 0.888401 0.883873 0.863347 0.849793 0.819996 \n", " 13 0.921871 0.972882 0.9626 0.961555 0.933494 0.906922 0.885326 \n", " 14 0.957964 1.00047 0.981891 0.967441 0.94769 0.927943 0.912912 \n", " 15 0.923159 0.992048 0.979851 0.97339 0.944725 0.916316 0.876691 \n", " 16 0.895598 0.968259 0.916265 0.888331 0.867187 0.83617 0.817904 \n", " 17 0.946521 0.968741 0.924348 0.916783 0.908986 0.901166 0.849622 \n", " 18 0.954485 1.02639 0.966896 0.949816 0.947709 0.923481 0.914089 \n", " 19 0.929535 0.997407 0.950477 0.925902 0.911416 0.924061 0.919865 \n", " 20 0.929845 0.957994 0.921637 0.920399 0.891752 0.886003 0.850513 \n", " 21 0.911497 0.933473 0.880353 0.847468 0.824348 0.802987 0.788003 \n", " 22 0.916785 0.940562 0.912018 0.893248 0.899019 0.867502 0.815954 \n", " 23 0.935897 0.978659 0.971189 0.93525 0.855167 0.828651 0.780492 \n", " 24 1.15772 0.797671 0.763102 0.756546 0.76703 0.76687 0.759463 \n", " 25 0.918549 0.948355 0.918348 0.875433 0.855382 0.83222 0.811135 \n", " 26 0.965202 0.979652 0.950374 0.923551 0.910351 0.84544 0.817949 \n", " 27 0.927174 0.955427 0.931943 0.900339 0.893795 0.847835 0.804737 \n", " 28 0.935692 0.990978 0.95546 0.93048 0.913424 0.878732 0.85088 \n", " 29 0.94274 0.996428 0.965599 0.946228 0.93918 0.869536 0.836177 \n", " 30 0.949733 0.955197 0.901586 0.863794 0.839772 0.815952 0.78234 \n", " 31 0.957221 0.986185 0.933352 0.882465 0.845757 0.828036 0.786088 \n", " 32 0.946091 0.974756 0.945341 0.908018 0.881143 0.900449 0.882628 \n", " 33 0.951939 0.951748 0.888777 0.839591 0.816192 0.862712 0.787395 \n", " 34 0.944154 0.959978 0.929671 0.881811 0.839449 0.796339 0.751832 \n", " 35 0.963442 1.00476 0.949186 0.895448 0.868941 0.812434 0.759728 \n", " 36 1.01797 0.952279 0.908979 0.841188 0.77663 0.733648 0.678455 \n", " 37 1.13961 0.817349 0.763705 0.718205 0.673297 0.639975 0.600132 \n", " 38 0.99475 0.936169 0.839481 0.792983 0.721168 0.683342 0.637434 \n", " 39 1.04443 1.05563 0.970606 0.878495 0.801972 0.73898 0.684679 \n", " 40 0.962851 1.06307 0.951811 0.868542 0.86958 0.827271 0.780336 \n", " 41 0.921826 0.952005 0.898099 0.868025 0.838061 0.808524 0.742339 \n", " 42 0.93873 0.955197 0.859879 0.791509 0.749342 0.706255 0.651567 \n", " 43 0.936282 0.958402 0.904208 0.843262 0.823249 0.787732 0.727453 \n", " 44 0.890988 0.946904 0.873357 0.815918 0.812336 0.761529 0.702812 \n", " 45 0.840014 0.826747 0.723528 0.669632 0.65013 0.641021 0.600545 \n", " 46 0.890676 0.853738 0.731713 0.613861 0.526868 0.476416 0.429192 \n", " 47 0.798144 0.812275 0.715498 0.641995 0.594683 0.502019 0.447957 \n", " 48 0.733523 0.658754 0.570584 0.487223 0.486698 0.459071 0.397086 \n", " 49 0.99534 0.766097 0.705603 0.619768 0.567942 0.526979 0.511526 \n", " \n", " 7 8 9 10 11 \n", " 0 0.484066 0.483711 0.482749 0.519398 0.758112 \n", " 1 0.910748 0.865503 0.835478 0.861349 0.922005 \n", " 2 0.845325 0.829891 0.842863 0.852952 0.848039 \n", " 3 0.870392 0.853614 0.833989 0.812625 0.78521 \n", " 4 0.929829 0.908576 0.867971 0.850962 0.824081 \n", " 5 0.932366 0.886739 0.848436 0.842942 0.831999 \n", " 6 0.910086 0.878745 0.865022 0.863099 0.837853 \n", " 7 0.903382 0.893612 0.89229 0.907654 0.872033 \n", " 8 0.978428 0.947611 0.910744 0.900488 0.852987 \n", " 9 0.882013 0.849901 0.848118 0.846937 0.833389 \n", " 10 0.870703 0.860712 0.843474 0.845731 0.818816 \n", " 11 0.776789 0.775279 0.837677 0.853772 0.798872 \n", " 12 0.803365 0.780317 0.766762 0.771426 0.781268 \n", " 13 0.88819 0.86243 0.841814 0.85491 0.838071 \n", " 14 0.919168 0.895122 0.8615 0.860943 0.833681 \n", " 15 0.836847 0.818122 0.812947 0.803736 0.767218 \n", " 16 0.820801 0.786658 0.766023 0.750342 0.7013 \n", " 17 0.851039 0.829547 0.811082 0.78476 0.752239 \n", " 18 0.91188 0.872585 0.813024 0.79389 0.741531 \n", " 19 0.911016 0.870582 0.821277 0.793953 0.755639 \n", " 20 0.830653 0.81204 0.799346 0.793342 0.767435 \n", " 21 0.759733 0.723563 0.687826 0.684093 0.654149 \n", " 22 0.770939 0.743385 0.716919 0.689489 0.665233 \n", " 23 0.752311 0.739998 0.785034 0.78053 0.719328 \n", " 24 0.725549 0.707601 0.697259 0.713417 0.75338 \n", " 25 0.763973 0.744249 0.722454 0.705732 0.646383 \n", " 26 0.805324 0.777871 0.752081 0.775278 0.721386 \n", " 27 0.778904 0.74717 0.705187 0.656837 0.601041 \n", " 28 0.825005 0.792009 0.757467 0.73159 0.701388 \n", " 29 0.813326 0.783211 0.727991 0.698256 0.663472 \n", " 30 0.750677 0.709978 0.675908 0.661853 0.635828 \n", " 31 0.750651 0.722358 0.73897 0.769221 0.754572 \n", " 32 0.846741 0.800146 0.769936 0.748219 0.708808 \n", " 33 0.737043 0.705915 0.689051 0.675359 0.659439 \n", " 34 0.707082 0.67734 0.645501 0.614416 0.58569 \n", " 35 0.723978 0.692151 0.662691 0.673226 0.618024 \n", " 36 0.646164 0.612636 0.601324 0.593044 0.581655 \n", " 37 0.579685 0.561718 0.540653 0.52292 0.545467 \n", " 38 0.655573 0.65302 0.625367 0.591686 0.556528 \n", " 39 0.671542 0.639308 0.625651 0.601098 0.562433 \n", " 40 0.739635 0.703704 0.660776 0.624338 0.558721 \n", " 41 0.707162 0.68806 0.656776 0.632829 0.714298 \n", " 42 0.634035 0.612905 0.585379 0.567933 0.53669 \n", " 43 0.681016 0.64318 0.613688 0.595646 0.557324 \n", " 44 0.687135 0.672551 0.657011 0.636816 0.602817 \n", " 45 0.578945 0.554243 0.498729 0.468325 0.437213 \n", " 46 0.403534 0.40226 0.438254 0.41267 0.370202 \n", " 47 0.414201 0.398039 0.382858 0.364707 0.347265 \n", " 48 0.367786 0.348626 0.328814 0.313905 0.305779 \n", " 49 0.497324 0.480595 0.461524 0.445796 0.433227 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.54017 2.00072 0.944914 0.871731 0.868074 0.814071 0.779249 \n", " 1 1.02621 1.10315 0.991437 1.02472 1.0035 1.01078 0.960156 \n", " 2 0.965491 0.928014 1.05561 1.15341 1.08128 0.989373 0.927272 \n", " 3 0.954945 0.888166 0.96243 0.949268 0.933072 0.919821 0.886242 \n", " 4 0.928167 0.872366 0.94142 0.933995 0.922304 0.908937 0.898975 \n", " 5 0.999139 0.924768 0.955542 0.926196 0.923999 0.920229 0.921973 \n", " 6 0.958745 0.864228 0.900418 0.86737 0.865442 0.874404 0.955468 \n", " 7 0.944402 0.872351 0.937207 0.945549 0.92978 0.901352 0.888997 \n", " 8 0.94416 0.89386 0.939541 0.930387 0.933379 0.942085 0.93774 \n", " 9 0.953692 0.904043 1.00422 0.979503 0.925217 0.896113 0.875022 \n", " 10 0.968954 0.900915 0.974642 0.936993 0.937959 0.91707 0.891154 \n", " 11 0.994011 0.93291 0.991758 0.957927 0.897805 0.855384 0.827655 \n", " 12 1.001 0.995728 0.927505 0.889293 0.884761 0.864214 0.850646 \n", " 13 0.944399 0.870614 0.918788 0.909078 0.908091 0.881591 0.856495 \n", " 14 0.989296 0.94771 0.989762 0.97138 0.957085 0.937545 0.918011 \n", " 15 0.960237 0.886451 0.952601 0.940889 0.934685 0.90716 0.87988 \n", " 16 0.945245 0.846559 0.915242 0.866095 0.83969 0.819704 0.790386 \n", " 17 0.933021 0.883125 0.903856 0.862437 0.855378 0.848103 0.840807 \n", " 18 0.942621 0.899719 0.967501 0.911417 0.895317 0.89333 0.870493 \n", " 19 0.91444 0.850003 0.912068 0.869154 0.846681 0.833435 0.844998 \n", " 20 0.946393 0.879998 0.906639 0.872231 0.871059 0.843948 0.838507 \n", " 21 0.95435 0.869887 0.89086 0.840165 0.808781 0.786716 0.76633 \n", " 22 0.936898 0.858934 0.881211 0.854468 0.836883 0.842289 0.812761 \n", " 23 0.956023 0.894738 0.93562 0.928478 0.89412 0.817559 0.792209 \n", " 24 1.15948 1.34235 0.924881 0.884799 0.877198 0.889354 0.889169 \n", " 25 0.960727 0.882475 0.91111 0.882282 0.841052 0.821789 0.799537 \n", " 26 0.957564 0.924242 0.938079 0.910044 0.884359 0.871719 0.809563 \n", " 27 0.919485 0.852522 0.878501 0.856907 0.827847 0.821831 0.779571 \n", " 28 0.912018 0.853368 0.903789 0.871397 0.848614 0.833059 0.801419 \n", " 29 0.907497 0.855534 0.904256 0.876279 0.858699 0.852304 0.789102 \n", " 30 0.923949 0.877505 0.882553 0.83302 0.798102 0.775907 0.753898 \n", " 31 0.931884 0.892019 0.919011 0.869776 0.822356 0.788148 0.771633 \n", " 32 0.911747 0.862595 0.88873 0.861911 0.827882 0.803379 0.820982 \n", " 33 0.937891 0.892815 0.892636 0.833576 0.787444 0.765499 0.80913 \n", " 34 0.88939 0.839721 0.853794 0.82684 0.784274 0.746598 0.708256 \n", " 35 0.899111 0.866241 0.90339 0.853423 0.805107 0.781274 0.730468 \n", " 36 0.969241 0.986658 0.922988 0.881019 0.815313 0.752742 0.711082 \n", " 37 1.04278 1.18837 0.852317 0.796378 0.748932 0.702103 0.667355 \n", " 38 0.901998 0.897263 0.844423 0.75721 0.71527 0.650492 0.616374 \n", " 39 0.931051 0.972415 0.982849 0.903684 0.817924 0.746677 0.688028 \n", " 40 0.916793 0.882735 0.974614 0.872614 0.796273 0.797225 0.758436 \n", " 41 0.871039 0.802946 0.829234 0.782279 0.756084 0.729984 0.704256 \n", " 42 0.854051 0.801723 0.815787 0.734381 0.675989 0.639976 0.603178 \n", " 43 0.895399 0.838346 0.858152 0.809626 0.755056 0.737136 0.705334 \n", " 44 0.900586 0.802411 0.852769 0.786533 0.734805 0.731578 0.685822 \n", " 45 0.785878 0.660148 0.649723 0.568605 0.526249 0.510923 0.503765 \n", " 46 0.846298 0.753778 0.722517 0.619247 0.51951 0.445887 0.40319 \n", " 47 0.765575 0.611039 0.621857 0.547768 0.491495 0.455274 0.384333 \n", " 48 1.21437 0.890765 0.799969 0.692898 0.591668 0.59103 0.55748 \n", " \n", " 7 8 9 10 11 \n", " 0 0.754572 0.745546 0.744999 0.743518 0.799963 \n", " 1 0.927801 0.934617 0.888187 0.857374 0.883924 \n", " 2 0.864119 0.816153 0.801252 0.813776 0.823517 \n", " 3 0.857408 0.831176 0.815154 0.796414 0.776012 \n", " 4 0.886081 0.863036 0.84331 0.805622 0.789835 \n", " 5 0.92809 0.931563 0.885975 0.847705 0.842216 \n", " 6 0.898287 0.87254 0.842493 0.829336 0.827492 \n", " 7 0.846772 0.853156 0.843929 0.842681 0.857191 \n", " 8 0.931375 0.923792 0.894697 0.859888 0.850205 \n", " 9 0.851603 0.841168 0.810543 0.808843 0.807716 \n", " 10 0.863068 0.843672 0.833991 0.817288 0.819475 \n", " 11 0.782616 0.772137 0.770636 0.83266 0.848658 \n", " 12 0.820819 0.804172 0.781101 0.767531 0.7722 \n", " 13 0.8361 0.838806 0.814477 0.795008 0.807376 \n", " 14 0.90314 0.909329 0.885541 0.852279 0.851728 \n", " 15 0.841831 0.803571 0.785591 0.780622 0.771777 \n", " 16 0.773119 0.775858 0.743584 0.72408 0.709257 \n", " 17 0.792715 0.794038 0.773985 0.756757 0.732198 \n", " 18 0.861639 0.859558 0.822517 0.766374 0.748338 \n", " 19 0.841161 0.833069 0.796094 0.751008 0.726022 \n", " 20 0.804919 0.786124 0.768509 0.756495 0.750813 \n", " 21 0.75203 0.725051 0.690532 0.656427 0.652865 \n", " 22 0.764466 0.722291 0.696476 0.67168 0.64598 \n", " 23 0.746168 0.719227 0.707455 0.75051 0.746205 \n", " 24 0.88058 0.841258 0.820448 0.808456 0.827191 \n", " 25 0.779279 0.73397 0.715021 0.694081 0.678016 \n", " 26 0.783238 0.771149 0.744861 0.720166 0.742378 \n", " 27 0.739943 0.71619 0.687011 0.648408 0.603951 \n", " 28 0.776018 0.752419 0.722326 0.690823 0.667223 \n", " 29 0.758829 0.738091 0.710762 0.66065 0.633665 \n", " 30 0.722843 0.693587 0.655984 0.624505 0.611519 \n", " 31 0.732544 0.69952 0.673154 0.688634 0.716826 \n", " 32 0.804733 0.772014 0.72953 0.701986 0.682186 \n", " 33 0.738491 0.691266 0.662071 0.646255 0.633413 \n", " 34 0.668672 0.628872 0.60242 0.574102 0.546455 \n", " 35 0.683079 0.650936 0.62232 0.595832 0.605304 \n", " 36 0.657586 0.626288 0.593792 0.582828 0.574803 \n", " 37 0.625807 0.604485 0.585749 0.563783 0.545291 \n", " 38 0.574964 0.591326 0.589023 0.56408 0.5337 \n", " 39 0.637471 0.62524 0.595229 0.582513 0.559653 \n", " 40 0.715406 0.678092 0.645151 0.605795 0.572389 \n", " 41 0.646607 0.615966 0.599327 0.572078 0.551219 \n", " 42 0.556471 0.541498 0.523452 0.499944 0.485044 \n", " 43 0.65136 0.609781 0.575902 0.549496 0.533341 \n", " 44 0.632943 0.618824 0.60569 0.591695 0.573508 \n", " 45 0.471956 0.45498 0.435568 0.39194 0.368046 \n", " 46 0.363225 0.34151 0.340432 0.370894 0.349242 \n", " 47 0.342945 0.317102 0.304729 0.293106 0.27921 \n", " 48 0.482207 0.446627 0.42336 0.399301 0.381196 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.00703 1.551 2.01478 0.951556 0.877859 0.874176 0.819793 \n", " 1 0.957184 0.98227 1.05592 0.948987 0.980842 0.960535 0.967501 \n", " 2 0.963041 0.929808 0.893715 1.0166 1.11078 1.04131 0.952807 \n", " 3 0.941163 0.898759 0.835909 0.905803 0.893416 0.878173 0.865701 \n", " 4 0.939682 0.872181 0.819746 0.884635 0.877658 0.866672 0.854111 \n", " 5 0.939326 0.938517 0.868658 0.897565 0.869999 0.867936 0.864394 \n", " 6 0.96653 0.926656 0.835302 0.870281 0.83834 0.836476 0.845138 \n", " 7 1.03014 0.972863 0.898641 0.965452 0.974045 0.957801 0.928516 \n", " 8 0.963431 0.909634 0.861172 0.905183 0.896364 0.899246 0.907634 \n", " 9 0.929904 0.886842 0.840673 0.933829 0.910843 0.860364 0.833299 \n", " 10 0.96685 0.936834 0.871049 0.942333 0.905932 0.906866 0.886669 \n", " 11 0.988383 0.982463 0.922072 0.980236 0.946799 0.887375 0.845447 \n", " 12 0.968076 0.969049 0.963941 0.897895 0.860904 0.856516 0.836625 \n", " 13 0.97793 0.923555 0.851399 0.898511 0.889014 0.888049 0.862134 \n", " 14 0.951608 0.941422 0.901848 0.941865 0.924373 0.91077 0.892175 \n", " 15 0.976784 0.937944 0.865871 0.930485 0.919046 0.912986 0.886099 \n", " 16 0.971547 0.918349 0.822472 0.8892 0.841451 0.815798 0.79638 \n", " 17 0.937526 0.874731 0.827952 0.847388 0.808557 0.801939 0.795119 \n", " 18 0.94518 0.890947 0.850396 0.914463 0.861454 0.846236 0.844358 \n", " 19 0.949378 0.868149 0.806974 0.865898 0.825156 0.803821 0.791245 \n", " 20 0.984547 0.931769 0.8664 0.892629 0.858753 0.857599 0.830906 \n", " 21 0.977145 0.932538 0.850006 0.870499 0.820963 0.790296 0.768736 \n", " 22 0.968862 0.907725 0.832189 0.853772 0.827862 0.810824 0.816062 \n", " 23 0.952699 0.910801 0.852416 0.891364 0.88456 0.851827 0.778887 \n", " 24 0.96867 1.12315 1.30029 0.895905 0.857079 0.849716 0.86149 \n", " 25 0.973275 0.935052 0.858891 0.886761 0.858703 0.818575 0.799826 \n", " 26 0.954383 0.913883 0.882081 0.895287 0.868531 0.844017 0.831954 \n", " 27 0.980016 0.90111 0.835485 0.860945 0.839783 0.811304 0.805407 \n", " 28 0.94837 0.864931 0.809308 0.857127 0.826407 0.8048 0.790049 \n", " 29 0.976416 0.886095 0.835358 0.88293 0.855612 0.838448 0.832203 \n", " 30 0.92588 0.855466 0.812465 0.817139 0.771277 0.738947 0.718397 \n", " 31 0.914584 0.852287 0.815827 0.840513 0.795484 0.752114 0.720828 \n", " 32 0.918294 0.837251 0.792116 0.816116 0.791488 0.760239 0.737738 \n", " 33 0.906755 0.850437 0.809564 0.809402 0.755849 0.714019 0.69412 \n", " 34 0.923331 0.821201 0.77534 0.788335 0.763447 0.724144 0.689357 \n", " 35 0.93838 0.843708 0.812864 0.847723 0.800836 0.755496 0.733132 \n", " 36 0.928762 0.900194 0.916371 0.857237 0.818257 0.757232 0.699118 \n", " 37 0.91304 0.952102 1.08502 0.7782 0.727125 0.683804 0.641047 \n", " 38 0.913296 0.823792 0.819467 0.771208 0.691557 0.653253 0.594092 \n", " 39 0.951463 0.885861 0.925217 0.935145 0.859822 0.778224 0.710436 \n", " 40 0.948788 0.869842 0.837528 0.924703 0.827925 0.755494 0.756398 \n", " 41 0.838481 0.73035 0.673255 0.695297 0.655926 0.633962 0.612078 \n", " 42 0.858427 0.73314 0.688221 0.700293 0.630412 0.580287 0.549373 \n", " 43 0.842862 0.754698 0.70661 0.723304 0.682404 0.636409 0.621304 \n", " 44 0.888887 0.800519 0.713253 0.758015 0.699139 0.653158 0.65029 \n", " 45 0.684805 0.538173 0.452073 0.444933 0.389384 0.360378 0.349883 \n", " 46 0.774265 0.655259 0.583624 0.55942 0.479461 0.402238 0.345235 \n", " 47 1.32599 1.01514 0.81023 0.824575 0.726333 0.651716 0.603688 \n", " \n", " 7 8 9 10 11 \n", " 0 0.784727 0.759877 0.750787 0.750236 0.748745 \n", " 1 0.919045 0.888076 0.8946 0.850158 0.820664 \n", " 2 0.893001 0.832183 0.785989 0.771639 0.7837 \n", " 3 0.834097 0.806961 0.782272 0.767193 0.749555 \n", " 4 0.844751 0.832634 0.810979 0.792443 0.757028 \n", " 5 0.866032 0.871778 0.875041 0.832219 0.796271 \n", " 6 0.923489 0.868221 0.843336 0.814294 0.801578 \n", " 7 0.915789 0.872291 0.878868 0.869363 0.868076 \n", " 8 0.903448 0.897316 0.890011 0.861979 0.828443 \n", " 9 0.813687 0.791909 0.782206 0.753727 0.752146 \n", " 10 0.861613 0.834457 0.815704 0.806344 0.790195 \n", " 11 0.81804 0.773524 0.763167 0.761684 0.822987 \n", " 12 0.82349 0.794616 0.7785 0.756166 0.743029 \n", " 13 0.837592 0.817648 0.820293 0.796502 0.777462 \n", " 14 0.873586 0.859435 0.865325 0.842687 0.811035 \n", " 15 0.859453 0.822288 0.784916 0.767353 0.762499 \n", " 16 0.767897 0.751122 0.753782 0.722427 0.703477 \n", " 17 0.788278 0.743191 0.744431 0.725631 0.709479 \n", " 18 0.822773 0.814405 0.812437 0.777427 0.724361 \n", " 19 0.802223 0.79858 0.790897 0.755795 0.712991 \n", " 20 0.82555 0.792481 0.773976 0.756633 0.744805 \n", " 21 0.748816 0.734843 0.70848 0.67475 0.641424 \n", " 22 0.787454 0.740662 0.699801 0.67479 0.650766 \n", " 23 0.754736 0.710874 0.685206 0.673992 0.71501 \n", " 24 0.861311 0.852991 0.814901 0.794743 0.783127 \n", " 25 0.778169 0.758453 0.714355 0.695912 0.675532 \n", " 26 0.772633 0.747509 0.735972 0.710883 0.687314 \n", " 27 0.763992 0.725156 0.701878 0.673282 0.635451 \n", " 28 0.760042 0.735952 0.713572 0.685033 0.655156 \n", " 29 0.770492 0.740933 0.720684 0.694 0.645069 \n", " 30 0.698019 0.669266 0.642179 0.607362 0.578217 \n", " 31 0.705724 0.669973 0.63977 0.615656 0.629814 \n", " 32 0.753903 0.738981 0.708935 0.669923 0.64463 \n", " 33 0.733682 0.66963 0.626809 0.600336 0.585995 \n", " 34 0.653954 0.617405 0.580656 0.556232 0.530086 \n", " 35 0.685457 0.640988 0.610826 0.583973 0.559118 \n", " 36 0.660426 0.610741 0.581673 0.551492 0.541309 \n", " 37 0.609322 0.571387 0.551919 0.534812 0.514756 \n", " 38 0.562932 0.525112 0.540056 0.537953 0.515172 \n", " 39 0.654633 0.60653 0.594893 0.566338 0.554239 \n", " 40 0.719595 0.678769 0.643366 0.612112 0.574771 \n", " 41 0.590506 0.542167 0.516476 0.502525 0.479677 \n", " 42 0.517784 0.47769 0.464837 0.449345 0.429165 \n", " 43 0.5945 0.549007 0.513962 0.485406 0.463149 \n", " 44 0.609619 0.562615 0.550065 0.53839 0.52595 \n", " 45 0.344981 0.323198 0.311573 0.298279 0.268403 \n", " 46 0.312176 0.281232 0.264419 0.263585 0.28717 \n", " 47 0.509621 0.454741 0.420473 0.404066 0.388655 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.980624 0.987518 1.52095 1.97575 0.933119 0.86085 0.857238 \n", " 1 0.970982 0.929408 0.953767 1.02528 0.92145 0.952381 0.932662 \n", " 2 1.02208 0.984301 0.950334 0.913445 1.03904 1.1353 1.0643 \n", " 3 0.956431 0.900157 0.859601 0.799489 0.866339 0.854491 0.839912 \n", " 4 0.989305 0.929632 0.862853 0.810979 0.875175 0.868271 0.857403 \n", " 5 0.938447 0.881508 0.880749 0.81519 0.842318 0.816449 0.814512 \n", " 6 1.0018 0.968266 0.92832 0.836802 0.871844 0.839845 0.837978 \n", " 7 0.986125 1.01584 0.959365 0.886172 0.952056 0.96053 0.944511 \n", " 8 0.940592 0.906196 0.855594 0.810012 0.851408 0.843112 0.845824 \n", " 9 0.922235 0.85759 0.817877 0.775299 0.86121 0.840012 0.793458 \n", " 10 0.954625 0.922979 0.894325 0.831525 0.899575 0.864825 0.865717 \n", " 11 0.959958 0.948807 0.943124 0.885151 0.940986 0.908888 0.851843 \n", " 12 0.983029 0.951648 0.952603 0.947582 0.882657 0.846294 0.84198 \n", " 13 0.993147 0.971228 0.917226 0.845564 0.892353 0.882922 0.881963 \n", " 14 0.960265 0.913796 0.904014 0.866014 0.90444 0.887643 0.87458 \n", " 15 0.979253 0.956519 0.918485 0.847907 0.911181 0.899979 0.894044 \n", " 16 0.966252 0.938759 0.887357 0.794715 0.859192 0.813054 0.788266 \n", " 17 0.917155 0.859857 0.802265 0.759361 0.777187 0.741572 0.735503 \n", " 18 0.916535 0.86629 0.816584 0.779418 0.838137 0.789552 0.775604 \n", " 19 0.923193 0.876459 0.801469 0.744993 0.799391 0.761778 0.742082 \n", " 20 0.97516 0.960091 0.908624 0.844879 0.870456 0.837421 0.836296 \n", " 21 0.998774 0.975947 0.931395 0.848964 0.869432 0.819956 0.789327 \n", " 22 0.981002 0.950456 0.89048 0.816379 0.837552 0.812134 0.79542 \n", " 23 0.914118 0.870879 0.83258 0.779209 0.814812 0.808592 0.77867 \n", " 24 0.971449 0.941014 1.09108 1.26317 0.870326 0.832609 0.825456 \n", " 25 0.939791 0.914675 0.878753 0.807178 0.83337 0.807001 0.769289 \n", " 26 0.935322 0.892656 0.854775 0.82503 0.837382 0.812356 0.789428 \n", " 27 0.95778 0.938639 0.863064 0.800211 0.824595 0.804327 0.77705 \n", " 28 0.940624 0.89206 0.813575 0.761255 0.806234 0.777338 0.757015 \n", " 29 0.94425 0.921981 0.836695 0.788786 0.833706 0.807912 0.791704 \n", " 30 0.93023 0.861282 0.79578 0.755779 0.760127 0.717465 0.687391 \n", " 31 0.842774 0.770788 0.718285 0.687558 0.708362 0.670413 0.633862 \n", " 32 0.922495 0.847122 0.77236 0.730723 0.752863 0.730144 0.701317 \n", " 33 0.950847 0.862185 0.808635 0.769771 0.769617 0.718696 0.678922 \n", " 34 0.908348 0.838705 0.745936 0.704278 0.716082 0.693475 0.657775 \n", " 35 0.938024 0.880223 0.791418 0.762485 0.795184 0.751203 0.708673 \n", " 36 0.931017 0.864693 0.838096 0.853157 0.798102 0.761811 0.704996 \n", " 37 0.917921 0.838098 0.873954 0.995966 0.714325 0.667443 0.627678 \n", " 38 0.955558 0.872708 0.787181 0.783048 0.736934 0.660823 0.624221 \n", " 39 0.89001 0.846812 0.788425 0.823453 0.832288 0.76525 0.692627 \n", " 40 0.955211 0.906293 0.830883 0.800016 0.883286 0.790844 0.721657 \n", " 41 0.912381 0.765014 0.666357 0.614265 0.634376 0.598455 0.578415 \n", " 42 0.854999 0.733954 0.626834 0.588428 0.59875 0.539002 0.496145 \n", " 43 0.851253 0.717489 0.642439 0.601504 0.615715 0.580898 0.541744 \n", " 44 0.840028 0.74669 0.672459 0.599153 0.636754 0.587297 0.548672 \n", " 45 0.764503 0.523535 0.411435 0.345611 0.340153 0.297685 0.27551 \n", " 46 0.716945 0.555105 0.469785 0.418426 0.401073 0.343747 0.288383 \n", " \n", " 7 8 9 10 11 \n", " 0 0.803909 0.769522 0.745153 0.73624 0.735699 \n", " 1 0.939426 0.892377 0.862306 0.868641 0.825488 \n", " 2 0.973841 0.912714 0.850554 0.803341 0.788674 \n", " 3 0.827984 0.797757 0.771803 0.748189 0.733767 \n", " 4 0.844977 0.835716 0.823729 0.802306 0.783968 \n", " 5 0.811189 0.812726 0.818118 0.82118 0.780994 \n", " 6 0.846656 0.925147 0.86978 0.844851 0.815757 \n", " 7 0.915633 0.903082 0.860188 0.866673 0.8573 \n", " 8 0.853714 0.849776 0.844008 0.837137 0.81077 \n", " 9 0.768498 0.750411 0.730327 0.721378 0.695114 \n", " 10 0.846437 0.822517 0.796594 0.778691 0.769756 \n", " 11 0.811594 0.785285 0.742551 0.732609 0.731185 \n", " 12 0.822427 0.809515 0.781131 0.765288 0.743333 \n", " 13 0.856226 0.831853 0.812044 0.814672 0.791043 \n", " 14 0.856725 0.838874 0.825285 0.830941 0.809203 \n", " 15 0.867716 0.841622 0.805228 0.768631 0.751433 \n", " 16 0.769504 0.741982 0.725773 0.728343 0.698046 \n", " 17 0.729247 0.722974 0.681621 0.682759 0.665516 \n", " 18 0.773884 0.7541 0.74643 0.744627 0.712539 \n", " 19 0.730472 0.740607 0.737244 0.730151 0.697744 \n", " 20 0.810267 0.805044 0.772796 0.754751 0.737839 \n", " 21 0.767793 0.747898 0.733942 0.707611 0.673923 \n", " 22 0.800558 0.772493 0.726591 0.686506 0.66197 \n", " 23 0.711995 0.689918 0.649822 0.626359 0.616108 \n", " 24 0.836894 0.83672 0.828638 0.791635 0.772053 \n", " 25 0.751669 0.731316 0.712787 0.671344 0.654012 \n", " 26 0.778146 0.722661 0.699162 0.688371 0.664905 \n", " 27 0.771403 0.731736 0.69454 0.672245 0.644856 \n", " 28 0.743139 0.714914 0.692254 0.671203 0.644359 \n", " 29 0.785808 0.727536 0.699626 0.680506 0.655309 \n", " 30 0.668274 0.649319 0.622571 0.597374 0.564987 \n", " 31 0.607495 0.594766 0.564636 0.539181 0.518859 \n", " 32 0.68056 0.695471 0.681707 0.653989 0.618001 \n", " 33 0.660002 0.697619 0.636716 0.595999 0.570828 \n", " 34 0.626176 0.594018 0.560818 0.527438 0.505252 \n", " 35 0.687696 0.642975 0.601262 0.572969 0.547781 \n", " 36 0.650891 0.614868 0.56861 0.541547 0.513448 \n", " 37 0.588431 0.559309 0.524488 0.506618 0.490915 \n", " 38 0.56769 0.537914 0.501776 0.516055 0.514045 \n", " 39 0.632295 0.58263 0.539818 0.529461 0.504047 \n", " 40 0.72252 0.687365 0.648368 0.61455 0.584696 \n", " 41 0.558448 0.538766 0.494663 0.471222 0.458494 \n", " 42 0.469714 0.442705 0.408424 0.397435 0.38419 \n", " 43 0.528887 0.506069 0.467344 0.437511 0.413204 \n", " 44 0.546262 0.512097 0.472612 0.46207 0.452263 \n", " 45 0.267486 0.263739 0.247085 0.238198 0.228035 \n", " 46 0.247514 0.223813 0.201628 0.189574 0.188976 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.06139 1.04083 1.04815 1.61433 2.09704 0.990407 0.913701 \n", " 1 0.951031 0.923434 0.883896 0.907061 0.975071 0.876327 0.905743 \n", " 2 1.0245 1.04711 1.00841 0.973613 0.93582 1.06449 1.16311 \n", " 3 0.981336 0.938581 0.883357 0.843558 0.784568 0.85017 0.838543 \n", " 4 0.9834 0.972883 0.9142 0.84853 0.797517 0.860646 0.853858 \n", " 5 0.939182 0.881373 0.827896 0.827183 0.765612 0.79109 0.766794 \n", " 6 0.988401 0.990176 0.957035 0.917553 0.827096 0.861732 0.830104 \n", " 7 0.949684 0.936507 0.96473 0.911093 0.841583 0.904152 0.9122 \n", " 8 0.99308 0.934083 0.899925 0.849673 0.804407 0.845516 0.837278 \n", " 9 0.975329 0.899483 0.836433 0.797699 0.756171 0.839963 0.819288 \n", " 10 0.977261 0.932917 0.901991 0.873989 0.812617 0.879119 0.84516 \n", " 11 1.11559 1.07092 1.05848 1.05214 0.987469 1.04976 1.01395 \n", " 12 0.987762 0.970999 0.940001 0.940945 0.935986 0.871855 0.835937 \n", " 13 0.984775 0.978026 0.956441 0.903261 0.83269 0.878767 0.869479 \n", " 14 0.967777 0.929323 0.884351 0.874885 0.838108 0.875296 0.859041 \n", " 15 1.00316 0.982351 0.959545 0.92139 0.85059 0.914063 0.902826 \n", " 16 0.967556 0.934903 0.908302 0.858568 0.768931 0.831316 0.786675 \n", " 17 0.923841 0.847306 0.794371 0.741165 0.701529 0.717997 0.685095 \n", " 18 0.962563 0.882223 0.833859 0.786014 0.750239 0.80676 0.759994 \n", " 19 0.930753 0.859265 0.815767 0.74597 0.693405 0.744035 0.709027 \n", " 20 0.988194 0.963647 0.948757 0.897896 0.834904 0.86018 0.827535 \n", " 21 0.948219 0.947056 0.925411 0.883166 0.805003 0.824411 0.777498 \n", " 22 0.943453 0.925529 0.896711 0.840126 0.770215 0.790191 0.766211 \n", " 23 1.0174 0.930022 0.886031 0.847066 0.792766 0.828988 0.82266 \n", " 24 0.957983 0.930632 0.901476 1.04524 1.21009 0.833758 0.797625 \n", " 25 0.9615 0.903609 0.87946 0.844922 0.776102 0.801285 0.775932 \n", " 26 0.930285 0.870117 0.830425 0.795185 0.767514 0.779004 0.755723 \n", " 27 0.939933 0.900249 0.882258 0.811223 0.752145 0.775065 0.756014 \n", " 28 0.919423 0.864832 0.820181 0.748019 0.699916 0.74127 0.714703 \n", " 29 0.930034 0.878185 0.857474 0.778155 0.733598 0.775375 0.751386 \n", " 30 0.934388 0.869196 0.804771 0.743568 0.706191 0.710254 0.67039 \n", " 31 1.04639 0.881867 0.806542 0.751604 0.719451 0.74122 0.701511 \n", " 32 0.949865 0.876246 0.804651 0.733638 0.694089 0.715118 0.693538 \n", " 33 0.997381 0.948356 0.859926 0.806517 0.767755 0.767601 0.716814 \n", " 34 0.910708 0.82724 0.763816 0.67933 0.641392 0.652142 0.631554 \n", " 35 0.9552 0.896 0.840789 0.755962 0.728326 0.75956 0.717549 \n", " 36 0.907155 0.844576 0.784411 0.760283 0.773945 0.724002 0.691081 \n", " 37 0.93337 0.85676 0.782256 0.815723 0.929605 0.66673 0.622971 \n", " 38 0.937951 0.896266 0.818557 0.738337 0.73446 0.691208 0.619819 \n", " 39 0.887926 0.790264 0.751907 0.700064 0.731165 0.739011 0.679486 \n", " 40 0.910035 0.869275 0.824758 0.756132 0.728042 0.803821 0.719695 \n", " 41 1.08582 0.990678 0.830665 0.723542 0.666979 0.688816 0.649812 \n", " 42 0.813915 0.695896 0.597376 0.51019 0.47893 0.487332 0.438702 \n", " 43 0.838957 0.714164 0.601942 0.538979 0.504636 0.516558 0.487348 \n", " 44 0.744258 0.625198 0.55573 0.500483 0.445924 0.473909 0.4371 \n", " 45 1.22764 0.938533 0.642712 0.505094 0.424286 0.417585 0.36545 \n", " \n", " 7 8 9 10 11 \n", " 0 0.909867 0.853264 0.816766 0.790901 0.781441 \n", " 1 0.886991 0.893424 0.848678 0.82008 0.826105 \n", " 2 1.09037 0.997695 0.935072 0.871388 0.823019 \n", " 3 0.824236 0.81253 0.782868 0.757398 0.734226 \n", " 4 0.84317 0.83095 0.821843 0.810055 0.788988 \n", " 5 0.764975 0.761854 0.763297 0.768362 0.771238 \n", " 6 0.828258 0.836836 0.914417 0.859692 0.835052 \n", " 7 0.896987 0.869562 0.857643 0.816907 0.823066 \n", " 8 0.839971 0.847806 0.843896 0.838168 0.831344 \n", " 9 0.773882 0.749538 0.731897 0.712309 0.703581 \n", " 10 0.846031 0.827189 0.803814 0.77848 0.760985 \n", " 11 0.950311 0.905409 0.876059 0.828385 0.817294 \n", " 12 0.831676 0.812362 0.799608 0.771571 0.755922 \n", " 13 0.868535 0.84319 0.819187 0.799681 0.802268 \n", " 14 0.846399 0.829119 0.811843 0.798692 0.804166 \n", " 15 0.896873 0.87046 0.844285 0.807775 0.771063 \n", " 16 0.762692 0.744538 0.717909 0.702226 0.704713 \n", " 17 0.679488 0.673709 0.667913 0.62971 0.630761 \n", " 18 0.746568 0.744912 0.725869 0.718486 0.71675 \n", " 19 0.690695 0.679889 0.689322 0.686192 0.67959 \n", " 20 0.826423 0.800701 0.795539 0.763672 0.74584 \n", " 21 0.748455 0.728036 0.709171 0.695937 0.67097 \n", " 22 0.750442 0.755289 0.728812 0.685504 0.647686 \n", " 23 0.792218 0.724383 0.701921 0.661128 0.637257 \n", " 24 0.790773 0.801731 0.801564 0.793821 0.758373 \n", " 25 0.739672 0.72273 0.703161 0.685345 0.645497 \n", " 26 0.734394 0.723897 0.672281 0.65042 0.640382 \n", " 27 0.730375 0.725067 0.687783 0.652821 0.631865 \n", " 28 0.696017 0.683259 0.657308 0.636475 0.617119 \n", " 29 0.736312 0.730828 0.676634 0.650676 0.632894 \n", " 30 0.642289 0.624428 0.606715 0.581723 0.558179 \n", " 31 0.663264 0.635674 0.622355 0.590827 0.564192 \n", " 32 0.666156 0.64644 0.660604 0.647529 0.621202 \n", " 33 0.677144 0.658273 0.695792 0.635048 0.594438 \n", " 34 0.599041 0.570263 0.540977 0.510742 0.480342 \n", " 35 0.676925 0.656887 0.614169 0.574326 0.5473 \n", " 36 0.639541 0.590459 0.55778 0.515818 0.491267 \n", " 37 0.585856 0.549224 0.522042 0.489541 0.472862 \n", " 38 0.585489 0.532465 0.504537 0.470641 0.484034 \n", " 39 0.615002 0.561431 0.517333 0.479319 0.470122 \n", " 40 0.656732 0.657518 0.625526 0.590037 0.559262 \n", " 41 0.628052 0.606373 0.585001 0.537113 0.511661 \n", " 42 0.40382 0.382307 0.360324 0.332423 0.323478 \n", " 43 0.4545 0.443713 0.42457 0.392081 0.367053 \n", " 44 0.408353 0.40656 0.381132 0.351745 0.343899 \n", " 45 0.338227 0.328376 0.323776 0.303332 0.292422 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.973838 1.03363 1.0136 1.02072 1.57209 2.04218 0.964496 \n", " 1 1.01932 0.969404 0.941274 0.900972 0.924585 0.993909 0.893257 \n", " 2 0.925807 0.948485 0.969423 0.933595 0.901377 0.866389 0.985512 \n", " 3 1.00365 0.984919 0.942007 0.886582 0.846637 0.787432 0.853273 \n", " 4 0.971087 0.954967 0.944754 0.887768 0.823997 0.774458 0.835763 \n", " 5 1.02221 0.960039 0.900946 0.846282 0.845553 0.782614 0.808658 \n", " 6 0.994199 0.982667 0.984432 0.951483 0.91223 0.822298 0.856733 \n", " 7 0.92596 0.87937 0.867168 0.893302 0.843636 0.779273 0.837209 \n", " 8 0.974394 0.967651 0.910165 0.876882 0.827917 0.783809 0.823866 \n", " 9 0.992527 0.96804 0.892761 0.830182 0.791738 0.75052 0.833686 \n", " 10 0.99687 0.974202 0.929997 0.899168 0.871253 0.810074 0.876367 \n", " 11 1.03594 1.15569 1.10941 1.09653 1.08996 1.02296 1.08749 \n", " 12 0.97414 0.962218 0.945889 0.915693 0.916612 0.911781 0.849309 \n", " 13 1.02053 1.00499 0.998106 0.976077 0.921806 0.849786 0.896808 \n", " 14 1.01155 0.978958 0.940059 0.894568 0.884992 0.847791 0.885409 \n", " 15 0.97796 0.981053 0.9607 0.938396 0.901083 0.831842 0.893917 \n", " 16 0.976943 0.945247 0.913347 0.887359 0.838771 0.751202 0.812148 \n", " 17 0.944657 0.872713 0.800414 0.750409 0.700147 0.662704 0.678261 \n", " 18 0.947736 0.912256 0.836114 0.790278 0.744933 0.711028 0.764595 \n", " 19 0.980669 0.91276 0.842654 0.799997 0.731549 0.68 0.729652 \n", " 20 0.951171 0.939941 0.916593 0.90243 0.854053 0.794137 0.818178 \n", " 21 0.972394 0.922042 0.920912 0.899864 0.858785 0.78278 0.801652 \n", " 22 0.95112 0.897337 0.88029 0.852879 0.799061 0.732567 0.751567 \n", " 23 0.961237 0.977961 0.893972 0.851686 0.814231 0.762036 0.796854 \n", " 24 0.919384 0.880754 0.855608 0.828802 0.960977 1.11254 0.766543 \n", " 25 0.95015 0.913569 0.858564 0.835619 0.802802 0.737413 0.761341 \n", " 26 0.92237 0.858068 0.80257 0.765959 0.733455 0.707932 0.71853 \n", " 27 0.910239 0.855564 0.819441 0.803066 0.738407 0.684631 0.705494 \n", " 28 0.925835 0.851234 0.800691 0.759352 0.692542 0.648006 0.686294 \n", " 29 0.919703 0.855355 0.807669 0.788621 0.715672 0.674692 0.713115 \n", " 30 0.938014 0.876469 0.815318 0.754887 0.697477 0.662417 0.666228 \n", " 31 0.913836 0.956225 0.805882 0.737047 0.686843 0.65746 0.677354 \n", " 32 0.923222 0.876936 0.808969 0.742872 0.677311 0.640798 0.660213 \n", " 33 0.943908 0.941435 0.895161 0.811691 0.761278 0.72469 0.724545 \n", " 34 0.916727 0.834871 0.758353 0.700211 0.62276 0.587981 0.597836 \n", " 35 0.93605 0.894115 0.838701 0.78702 0.707619 0.681749 0.710986 \n", " 36 0.882248 0.800336 0.745126 0.692045 0.670758 0.682812 0.638749 \n", " 37 0.89889 0.838997 0.770132 0.703161 0.733244 0.835613 0.599317 \n", " 38 0.891546 0.836226 0.799062 0.72978 0.658261 0.654805 0.616243 \n", " 39 0.857722 0.761594 0.677826 0.644927 0.60046 0.627137 0.633866 \n", " 40 0.872589 0.794086 0.75852 0.719675 0.659793 0.635282 0.701406 \n", " 41 0.880645 0.956219 0.872436 0.731521 0.637183 0.587372 0.606602 \n", " 42 0.830972 0.676341 0.578271 0.496403 0.423954 0.397978 0.404959 \n", " 43 0.692387 0.580883 0.494478 0.416777 0.373182 0.349403 0.357658 \n", " 44 1.40441 1.04524 0.878034 0.780473 0.702883 0.62626 0.665563 \n", " \n", " 7 8 9 10 11 \n", " 0 0.889796 0.886063 0.830941 0.795398 0.77021 \n", " 1 0.923242 0.904127 0.910684 0.865074 0.835923 \n", " 2 1.07681 1.00947 0.923673 0.865696 0.806737 \n", " 3 0.841604 0.827245 0.815496 0.785726 0.760163 \n", " 4 0.82917 0.818792 0.806925 0.798081 0.786634 \n", " 5 0.783823 0.781963 0.778773 0.780249 0.785425 \n", " 6 0.825289 0.823453 0.831981 0.909112 0.854705 \n", " 7 0.844661 0.830574 0.80518 0.794143 0.756423 \n", " 8 0.815839 0.818463 0.826097 0.822287 0.816706 \n", " 9 0.813166 0.768099 0.743937 0.726428 0.706986 \n", " 10 0.842514 0.843383 0.8246 0.801298 0.776043 \n", " 11 1.05039 0.984467 0.937951 0.907546 0.858159 \n", " 12 0.814319 0.810169 0.791354 0.77893 0.751618 \n", " 13 0.88733 0.886367 0.860501 0.836006 0.816099 \n", " 14 0.868965 0.856177 0.838698 0.821222 0.80792 \n", " 15 0.882927 0.877105 0.851275 0.825676 0.789971 \n", " 16 0.768537 0.745106 0.727371 0.701356 0.686034 \n", " 17 0.64718 0.641883 0.636424 0.630949 0.59486 \n", " 18 0.720273 0.707549 0.70598 0.687932 0.680935 \n", " 19 0.695321 0.677343 0.666746 0.675996 0.672927 \n", " 20 0.787127 0.786069 0.761603 0.756694 0.726383 \n", " 21 0.756034 0.727793 0.707938 0.689593 0.676725 \n", " 22 0.728758 0.71376 0.718371 0.693187 0.651997 \n", " 23 0.790772 0.761509 0.696303 0.674713 0.635501 \n", " 24 0.733323 0.727024 0.737098 0.736945 0.729826 \n", " 25 0.737251 0.702799 0.686702 0.668108 0.651181 \n", " 26 0.697057 0.677383 0.667701 0.620092 0.599928 \n", " 27 0.688153 0.664816 0.659984 0.626047 0.594223 \n", " 28 0.661697 0.644397 0.632585 0.608559 0.58927 \n", " 29 0.691052 0.677188 0.672145 0.622302 0.598428 \n", " 30 0.628836 0.602477 0.585722 0.569108 0.545664 \n", " 31 0.641066 0.606115 0.580902 0.56873 0.539919 \n", " 32 0.64029 0.61501 0.596808 0.609884 0.597813 \n", " 33 0.676606 0.639162 0.621349 0.656764 0.599427 \n", " 34 0.578962 0.549157 0.522776 0.495928 0.468211 \n", " 35 0.671662 0.633635 0.614879 0.574893 0.537597 \n", " 36 0.609705 0.564233 0.520931 0.492101 0.455079 \n", " 37 0.559982 0.52662 0.493691 0.469258 0.440043 \n", " 38 0.552597 0.52199 0.474717 0.449818 0.419598 \n", " 39 0.58281 0.527501 0.481552 0.443728 0.411122 \n", " 40 0.627998 0.573058 0.573743 0.545827 0.51486 \n", " 41 0.572254 0.553091 0.533999 0.515178 0.473006 \n", " 42 0.364549 0.335563 0.317686 0.299419 0.276234 \n", " 43 0.337434 0.31469 0.307221 0.293967 0.271472 \n", " 44 0.613868 0.573496 0.570977 0.535266 0.493995 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.953958 0.929 0.986035 0.96693 0.973727 1.49971 1.94815 \n", " 1 0.969073 0.987795 0.939423 0.912164 0.873108 0.895991 0.96317 \n", " 2 0.82772 0.766309 0.78508 0.802411 0.772755 0.746088 0.717127 \n", " 3 0.948111 0.951572 0.933813 0.893128 0.840578 0.802706 0.746573 \n", " 4 0.919808 0.893214 0.878387 0.868993 0.816576 0.757919 0.712353 \n", " 5 0.952394 0.973544 0.914335 0.858056 0.805994 0.805299 0.745357 \n", " 6 0.933524 0.928109 0.917344 0.918991 0.888233 0.851589 0.767636 \n", " 7 0.889304 0.82346 0.782027 0.771176 0.794417 0.750249 0.69301 \n", " 8 0.942687 0.918548 0.912192 0.858001 0.826625 0.780466 0.738886 \n", " 9 0.956661 0.949512 0.926086 0.85407 0.794203 0.757424 0.717993 \n", " 10 0.925248 0.922352 0.901378 0.860478 0.831953 0.806125 0.749519 \n", " 11 0.924124 0.957339 1.068 1.02524 1.01333 1.00726 0.945342 \n", " 12 0.917816 0.894081 0.88314 0.868152 0.840438 0.841282 0.836847 \n", " 13 0.961026 0.980756 0.965824 0.959205 0.938035 0.885879 0.816666 \n", " 14 0.943336 0.954234 0.923486 0.886791 0.843878 0.834845 0.799751 \n", " 15 0.924063 0.903697 0.906555 0.887747 0.867138 0.832657 0.768675 \n", " 16 0.949081 0.927198 0.897116 0.86684 0.842175 0.796062 0.712951 \n", " 17 0.901894 0.851981 0.787095 0.721888 0.676789 0.631458 0.597689 \n", " 18 0.945185 0.895786 0.862251 0.790283 0.74696 0.7041 0.672053 \n", " 19 0.96643 0.947748 0.882119 0.814366 0.773141 0.706991 0.657173 \n", " 20 0.916836 0.872068 0.861772 0.840366 0.82738 0.783027 0.728093 \n", " 21 0.944991 0.918904 0.871322 0.870254 0.850364 0.811545 0.739721 \n", " 22 0.888043 0.844636 0.796875 0.781735 0.757394 0.709601 0.650552 \n", " 23 0.907155 0.871991 0.887162 0.810971 0.772611 0.738634 0.691285 \n", " 24 0.961038 0.883562 0.846438 0.822272 0.79651 0.923536 1.06919 \n", " 25 0.911472 0.866034 0.832692 0.782557 0.761643 0.731731 0.672131 \n", " 26 0.907237 0.836808 0.778471 0.728121 0.694906 0.665417 0.642262 \n", " 27 0.890298 0.810384 0.761707 0.729547 0.714968 0.657402 0.609526 \n", " 28 0.928242 0.859399 0.790151 0.743235 0.704862 0.642847 0.601507 \n", " 29 0.902671 0.830189 0.772104 0.729059 0.711865 0.646016 0.609025 \n", " 30 0.91327 0.85666 0.800453 0.744606 0.689415 0.636985 0.604966 \n", " 31 0.914005 0.835251 0.873994 0.73658 0.673665 0.627777 0.600922 \n", " 32 0.900658 0.831507 0.78982 0.728605 0.669073 0.610025 0.57714 \n", " 33 0.88754 0.837756 0.835561 0.794491 0.720408 0.675664 0.643191 \n", " 34 0.892744 0.818403 0.745326 0.677015 0.625109 0.555966 0.524917 \n", " 35 0.913523 0.855103 0.816795 0.766173 0.718961 0.646426 0.622794 \n", " 36 0.858033 0.756998 0.686715 0.639343 0.593797 0.575533 0.585875 \n", " 37 0.872531 0.784309 0.732051 0.671964 0.61353 0.639778 0.729098 \n", " 38 0.816572 0.728011 0.682838 0.652492 0.595918 0.537517 0.534695 \n", " 39 0.818974 0.702452 0.623726 0.555122 0.528178 0.491761 0.513609 \n", " 40 0.805355 0.702744 0.639522 0.610878 0.579594 0.531368 0.511628 \n", " 41 0.789506 0.695275 0.754941 0.688793 0.57754 0.50306 0.463734 \n", " 42 0.789646 0.656174 0.53407 0.456629 0.391983 0.334773 0.314262 \n", " 43 1.08371 0.750349 0.629511 0.535873 0.451667 0.404422 0.378653 \n", " \n", " 7 8 9 10 11 \n", " 0 0.920088 0.848828 0.845267 0.792683 0.758776 \n", " 1 0.865631 0.894689 0.876165 0.882519 0.83832 \n", " 2 0.815728 0.8913 0.835561 0.764543 0.716554 \n", " 3 0.808998 0.797934 0.78432 0.773181 0.744956 \n", " 4 0.768742 0.762678 0.753132 0.742216 0.734082 \n", " 5 0.770161 0.746508 0.744737 0.741698 0.743104 \n", " 6 0.799781 0.770427 0.768714 0.776675 0.848678 \n", " 7 0.744533 0.751161 0.738633 0.716049 0.706235 \n", " 8 0.776648 0.769081 0.771554 0.778751 0.775159 \n", " 9 0.797555 0.777924 0.73481 0.711695 0.694945 \n", " 10 0.810857 0.779534 0.780338 0.762959 0.741399 \n", " 11 1.00497 0.970693 0.909769 0.866783 0.838685 \n", " 12 0.77951 0.747396 0.743586 0.726318 0.714915 \n", " 13 0.861856 0.852747 0.851821 0.826963 0.803423 \n", " 14 0.835238 0.819726 0.807663 0.791174 0.774689 \n", " 15 0.826036 0.81588 0.810501 0.786632 0.762977 \n", " 16 0.770794 0.729404 0.707166 0.690334 0.665643 \n", " 17 0.61172 0.583688 0.57891 0.573987 0.569049 \n", " 18 0.722684 0.680792 0.668765 0.667282 0.650223 \n", " 19 0.705158 0.671979 0.654604 0.644363 0.653303 \n", " 20 0.750135 0.721666 0.720697 0.698265 0.693764 \n", " 21 0.757555 0.714446 0.687758 0.668995 0.65166 \n", " 22 0.667424 0.647169 0.63385 0.637944 0.61558 \n", " 23 0.722871 0.717353 0.690807 0.631655 0.612069 \n", " 24 0.736677 0.704752 0.698697 0.708379 0.708232 \n", " 25 0.693941 0.671984 0.640581 0.625909 0.608962 \n", " 26 0.651877 0.632396 0.614547 0.605763 0.562571 \n", " 27 0.6281 0.612661 0.591885 0.587583 0.557369 \n", " 28 0.637047 0.614215 0.598156 0.587192 0.56489 \n", " 29 0.643708 0.623792 0.611278 0.606725 0.561734 \n", " 30 0.608446 0.574297 0.550224 0.534922 0.519749 \n", " 31 0.619105 0.585937 0.553992 0.530947 0.519822 \n", " 32 0.594626 0.576682 0.553914 0.53752 0.549297 \n", " 33 0.643062 0.600515 0.567281 0.551472 0.582904 \n", " 34 0.533714 0.516865 0.490256 0.466705 0.442737 \n", " 35 0.649502 0.613579 0.578841 0.561706 0.525178 \n", " 36 0.548068 0.523147 0.484131 0.446976 0.422239 \n", " 37 0.522922 0.488602 0.459492 0.430761 0.409442 \n", " 38 0.503207 0.451235 0.426242 0.38764 0.367308 \n", " 39 0.519119 0.477306 0.432009 0.394378 0.363401 \n", " 40 0.564881 0.505762 0.461515 0.462067 0.439585 \n", " 41 0.478916 0.451798 0.436669 0.421595 0.406736 \n", " 42 0.319774 0.287865 0.264976 0.25086 0.236435 \n", " 43 0.387599 0.365681 0.341034 0.33294 0.318576 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.951387 0.907583 0.883839 0.938101 0.919925 0.926391 1.4268 \n", " 1 0.945655 0.916409 0.934113 0.888371 0.862592 0.825659 0.847298 \n", " 2 0.937642 0.776105 0.718524 0.736124 0.752374 0.724568 0.699564 \n", " 3 0.955179 0.905617 0.908922 0.891959 0.853097 0.802903 0.766728 \n", " 4 0.983694 0.90481 0.87865 0.864064 0.854823 0.803261 0.74556 \n", " 5 0.97147 0.925222 0.945769 0.888249 0.833575 0.782999 0.782324 \n", " 6 0.993033 0.92702 0.921643 0.910953 0.912589 0.882044 0.845656 \n", " 7 0.972282 0.864655 0.800636 0.760351 0.749801 0.772398 0.729454 \n", " 8 1.00374 0.946215 0.921986 0.915606 0.861212 0.829719 0.783387 \n", " 9 0.988091 0.945268 0.938204 0.915058 0.843899 0.784745 0.748404 \n", " 10 0.965582 0.893402 0.890606 0.870354 0.830862 0.803319 0.778379 \n", " 11 0.988141 0.913165 0.945985 1.05534 1.01308 1.00131 0.995312 \n", " 12 0.957669 0.878964 0.856234 0.845755 0.831402 0.804861 0.805669 \n", " 13 0.953779 0.916606 0.935425 0.921183 0.91487 0.894678 0.844933 \n", " 14 0.963159 0.908582 0.919079 0.889464 0.854121 0.812788 0.804088 \n", " 15 0.956157 0.883549 0.864075 0.866809 0.848826 0.829119 0.796151 \n", " 16 0.954677 0.906065 0.885174 0.856456 0.827552 0.804005 0.759982 \n", " 17 0.95485 0.861173 0.813513 0.751557 0.689295 0.646231 0.602948 \n", " 18 0.98145 0.927652 0.879169 0.846256 0.775623 0.733103 0.691039 \n", " 19 0.98438 0.951334 0.932943 0.86834 0.801645 0.761064 0.695948 \n", " 20 0.962704 0.882642 0.839543 0.829631 0.809023 0.796522 0.753823 \n", " 21 0.949673 0.897433 0.872658 0.827471 0.826456 0.807567 0.770702 \n", " 22 0.940761 0.835436 0.7946 0.749668 0.735426 0.712527 0.667565 \n", " 23 0.970085 0.880018 0.845905 0.860623 0.786711 0.749498 0.716537 \n", " 24 0.983971 0.945633 0.8694 0.83287 0.809091 0.783742 0.908732 \n", " 25 0.929626 0.847328 0.805088 0.774093 0.727485 0.708043 0.680236 \n", " 26 0.973648 0.883329 0.814756 0.757956 0.708933 0.676594 0.647882 \n", " 27 0.927701 0.82593 0.751794 0.706636 0.676802 0.663277 0.609873 \n", " 28 0.963813 0.894651 0.828299 0.761558 0.716339 0.679355 0.619584 \n", " 29 0.971456 0.876905 0.806492 0.750065 0.708249 0.691546 0.627576 \n", " 30 0.929851 0.849205 0.796566 0.744302 0.692372 0.641054 0.592301 \n", " 31 0.950879 0.869108 0.794222 0.831063 0.700398 0.640573 0.59694 \n", " 32 0.952014 0.85744 0.791607 0.75192 0.693642 0.636968 0.580753 \n", " 33 0.937452 0.832026 0.785356 0.783299 0.744797 0.675348 0.633403 \n", " 34 0.909803 0.812221 0.744585 0.6781 0.61595 0.568726 0.505819 \n", " 35 0.886932 0.810233 0.758419 0.724441 0.679543 0.63767 0.573336 \n", " 36 0.913195 0.783551 0.691287 0.627104 0.583844 0.542253 0.525573 \n", " 37 0.873786 0.762405 0.685318 0.639656 0.587153 0.536094 0.559029 \n", " 38 0.803195 0.655866 0.584734 0.548452 0.524078 0.478638 0.431731 \n", " 39 0.762552 0.624511 0.535656 0.475623 0.42331 0.402764 0.374994 \n", " 40 0.813519 0.655172 0.571696 0.520263 0.496961 0.471511 0.432278 \n", " 41 0.672761 0.531149 0.467754 0.507895 0.463393 0.388547 0.338439 \n", " 42 1.26087 0.995639 0.827349 0.673391 0.575749 0.494238 0.422105 \n", " \n", " 7 8 9 10 11 \n", " 0 1.85345 0.87536 0.807564 0.804176 0.754148 \n", " 1 0.910827 0.818589 0.846067 0.82855 0.834559 \n", " 2 0.672409 0.764861 0.83572 0.783457 0.716867 \n", " 3 0.713112 0.772738 0.76217 0.749167 0.738527 \n", " 4 0.700738 0.756207 0.750242 0.740851 0.730114 \n", " 5 0.724092 0.748188 0.72521 0.72349 0.720538 \n", " 6 0.762287 0.794209 0.765059 0.763358 0.771263 \n", " 7 0.673801 0.723896 0.73034 0.71816 0.696202 \n", " 8 0.741652 0.779555 0.771959 0.774442 0.781666 \n", " 9 0.709443 0.788057 0.768659 0.72606 0.70322 \n", " 10 0.723722 0.782949 0.752704 0.75348 0.7367 \n", " 11 0.934131 0.993056 0.959181 0.89898 0.856504 \n", " 12 0.801423 0.746512 0.715758 0.712109 0.695572 \n", " 13 0.778919 0.82202 0.813332 0.812449 0.78874 \n", " 14 0.770287 0.804466 0.789526 0.777907 0.762026 \n", " 15 0.734974 0.78982 0.780109 0.774966 0.752144 \n", " 16 0.680638 0.73586 0.696345 0.675115 0.659046 \n", " 17 0.570703 0.5841 0.557334 0.552772 0.548071 \n", " 18 0.659587 0.709278 0.668163 0.65636 0.654903 \n", " 19 0.646907 0.694143 0.661482 0.644379 0.634298 \n", " 20 0.700938 0.722158 0.694751 0.693818 0.672223 \n", " 21 0.702493 0.719429 0.67849 0.653145 0.635326 \n", " 22 0.612013 0.627886 0.608831 0.596301 0.600153 \n", " 23 0.670605 0.701246 0.695893 0.670141 0.612759 \n", " 24 1.05205 0.724869 0.693455 0.687498 0.697024 \n", " 25 0.624831 0.645105 0.624694 0.595501 0.581862 \n", " 26 0.625337 0.634699 0.61573 0.598352 0.5898 \n", " 27 0.565458 0.582689 0.568367 0.549092 0.545101 \n", " 28 0.57974 0.613994 0.591988 0.57651 0.565943 \n", " 29 0.591641 0.625334 0.605987 0.59383 0.589407 \n", " 30 0.562528 0.565764 0.534011 0.511626 0.497398 \n", " 31 0.571404 0.588694 0.557155 0.526779 0.504867 \n", " 32 0.549445 0.566092 0.54901 0.527334 0.511726 \n", " 33 0.602961 0.60284 0.562954 0.531799 0.516978 \n", " 34 0.477571 0.485575 0.470245 0.446037 0.42461 \n", " 35 0.552376 0.576065 0.544203 0.513392 0.498195 \n", " 36 0.535018 0.500493 0.477735 0.442106 0.408176 \n", " 37 0.637075 0.456922 0.426934 0.401498 0.376393 \n", " 38 0.429464 0.404173 0.36243 0.342355 0.31135 \n", " 39 0.391653 0.395856 0.363971 0.32943 0.300734 \n", " 40 0.416219 0.459541 0.411447 0.375451 0.3759 \n", " 41 0.311982 0.322196 0.303952 0.293774 0.283633 \n", " 42 0.396243 0.403193 0.362959 0.3341 0.316301 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.927025 0.881959 0.841352 0.81934 0.869643 0.852793 0.858788 \n", " 1 0.962009 0.909729 0.881594 0.898626 0.854621 0.829822 0.794292 \n", " 2 1.12577 1.05557 0.873717 0.808893 0.828708 0.847002 0.815698 \n", " 3 0.927717 0.886137 0.840156 0.843223 0.827486 0.791433 0.744867 \n", " 4 0.944097 0.928703 0.854229 0.82953 0.81576 0.807036 0.758357 \n", " 5 0.95947 0.932096 0.887723 0.907437 0.852248 0.79979 0.751264 \n", " 6 0.970679 0.963916 0.899839 0.894619 0.884243 0.885831 0.856182 \n", " 7 0.970537 0.943636 0.839179 0.777046 0.737949 0.727709 0.74964 \n", " 8 0.949872 0.953427 0.898783 0.875769 0.869708 0.818041 0.788126 \n", " 9 0.929332 0.918265 0.878468 0.871903 0.850392 0.784262 0.729288 \n", " 10 0.931749 0.89968 0.832427 0.829822 0.810952 0.774155 0.748492 \n", " 11 0.929222 0.918203 0.848533 0.879031 0.980641 0.941375 0.930439 \n", " 12 0.939231 0.899472 0.82555 0.804202 0.79436 0.780879 0.755951 \n", " 13 0.9418 0.898269 0.86326 0.880983 0.86757 0.861624 0.842608 \n", " 14 0.953301 0.91818 0.866152 0.876159 0.847926 0.814234 0.774831 \n", " 15 0.954503 0.912655 0.843351 0.824763 0.827372 0.810207 0.791397 \n", " 16 0.932364 0.890107 0.844783 0.825305 0.798529 0.77158 0.749626 \n", " 17 0.948915 0.906071 0.81718 0.771955 0.713164 0.654082 0.613219 \n", " 18 0.932651 0.91535 0.865175 0.819957 0.789261 0.723385 0.683729 \n", " 19 0.935441 0.920829 0.889916 0.872713 0.81228 0.749892 0.711931 \n", " 20 0.924938 0.890442 0.816389 0.776525 0.767358 0.748297 0.736733 \n", " 21 0.925523 0.878944 0.830595 0.807665 0.765843 0.764904 0.747422 \n", " 22 0.894506 0.841516 0.747303 0.710775 0.670583 0.657843 0.637359 \n", " 23 0.925034 0.897362 0.814046 0.782491 0.796105 0.727734 0.693312 \n", " 24 0.926314 0.911466 0.875953 0.805337 0.7715 0.749473 0.725992 \n", " 25 0.910412 0.846343 0.771417 0.732962 0.704743 0.662311 0.644611 \n", " 26 0.936113 0.911444 0.826896 0.762704 0.709532 0.663641 0.633368 \n", " 27 0.888387 0.824158 0.733746 0.667884 0.627766 0.601262 0.589246 \n", " 28 0.889046 0.856874 0.795386 0.736396 0.67706 0.636859 0.603978 \n", " 29 0.902485 0.876725 0.791394 0.727847 0.676923 0.639184 0.62411 \n", " 30 0.894149 0.831426 0.759316 0.712249 0.665517 0.619084 0.573198 \n", " 31 0.904955 0.860502 0.786503 0.718735 0.752074 0.633829 0.57969 \n", " 32 0.917051 0.873046 0.786316 0.725944 0.689549 0.636105 0.584132 \n", " 33 0.893017 0.837161 0.743013 0.701336 0.699499 0.665116 0.603098 \n", " 34 0.840689 0.764861 0.682825 0.625964 0.570071 0.517822 0.478121 \n", " 35 0.879894 0.780406 0.712919 0.667328 0.637432 0.597926 0.561082 \n", " 36 0.870643 0.795066 0.682193 0.601864 0.545984 0.50832 0.472108 \n", " 37 0.834747 0.72939 0.636416 0.572067 0.533951 0.490124 0.447503 \n", " 38 0.80224 0.644355 0.526162 0.469097 0.43999 0.420436 0.383983 \n", " 39 0.752771 0.574027 0.470113 0.403226 0.358035 0.318655 0.303189 \n", " 40 0.846509 0.688651 0.554609 0.483946 0.440407 0.420682 0.399138 \n", " 41 1.56208 1.05091 0.829698 0.73067 0.793373 0.723859 0.606942 \n", " \n", " 7 8 9 10 11 \n", " 0 1.32268 1.71819 0.81148 0.748632 0.745491 \n", " 1 0.815109 0.876224 0.78749 0.813924 0.797073 \n", " 2 0.787549 0.756979 0.861058 0.94083 0.881994 \n", " 3 0.711307 0.661566 0.716883 0.707079 0.695015 \n", " 4 0.703881 0.661564 0.713932 0.708301 0.699436 \n", " 5 0.750617 0.694744 0.717864 0.695817 0.694167 \n", " 6 0.82086 0.739936 0.770922 0.742627 0.740976 \n", " 7 0.707962 0.653949 0.702568 0.708822 0.697 \n", " 8 0.744117 0.704474 0.740477 0.733262 0.73562 \n", " 9 0.695516 0.659308 0.732366 0.71434 0.67475 \n", " 10 0.725255 0.674327 0.729512 0.701332 0.702055 \n", " 11 0.924866 0.868015 0.92277 0.891293 0.835352 \n", " 12 0.75671 0.752721 0.701148 0.672262 0.668835 \n", " 13 0.795758 0.733586 0.774179 0.765996 0.765165 \n", " 14 0.766538 0.734316 0.766898 0.752656 0.74158 \n", " 15 0.759929 0.701535 0.753885 0.744617 0.739707 \n", " 16 0.70858 0.634603 0.686089 0.649247 0.629453 \n", " 17 0.572146 0.541549 0.554262 0.528863 0.524534 \n", " 18 0.644498 0.615164 0.661509 0.623163 0.612154 \n", " 19 0.651018 0.605143 0.649329 0.618778 0.602778 \n", " 20 0.697239 0.648324 0.667951 0.642602 0.641738 \n", " 21 0.713302 0.650173 0.665848 0.627958 0.604501 \n", " 22 0.597141 0.54745 0.561648 0.544603 0.533395 \n", " 23 0.662822 0.620333 0.648676 0.643725 0.619904 \n", " 24 0.841771 0.974532 0.671456 0.642357 0.636839 \n", " 25 0.619295 0.568853 0.587312 0.568729 0.542151 \n", " 26 0.606491 0.585386 0.594149 0.576393 0.560125 \n", " 27 0.541803 0.502345 0.517653 0.50493 0.487806 \n", " 28 0.550839 0.515415 0.545869 0.526304 0.512544 \n", " 29 0.566378 0.533947 0.564355 0.546894 0.535923 \n", " 30 0.529606 0.502984 0.505878 0.477485 0.45747 \n", " 31 0.540204 0.517095 0.532741 0.5042 0.476711 \n", " 32 0.53258 0.503869 0.519136 0.50347 0.483592 \n", " 33 0.56564 0.538454 0.538346 0.502727 0.474906 \n", " 34 0.425236 0.401488 0.408217 0.39533 0.374978 \n", " 35 0.504475 0.486032 0.506876 0.478841 0.451731 \n", " 36 0.457587 0.46581 0.43575 0.415937 0.384916 \n", " 37 0.466648 0.531797 0.381414 0.356381 0.335149 \n", " 38 0.346352 0.344534 0.324244 0.290756 0.274651 \n", " 39 0.282284 0.294825 0.297989 0.273987 0.247985 \n", " 40 0.365927 0.352333 0.389006 0.348293 0.317823 \n", " 41 0.52867 0.487342 0.503297 0.474798 0.458899 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.949768 0.880458 0.837657 0.799089 0.778183 0.825959 0.809955 \n", " 1 0.970356 0.933491 0.882761 0.85546 0.871987 0.829286 0.805222 \n", " 2 0.94495 1.0638 0.997461 0.825619 0.764364 0.783087 0.800374 \n", " 3 0.977089 0.906463 0.865834 0.820908 0.823904 0.808527 0.773301 \n", " 4 0.993476 0.937938 0.922644 0.848656 0.824119 0.810438 0.801771 \n", " 5 0.998464 0.957997 0.930665 0.88636 0.906044 0.85094 0.798562 \n", " 6 0.98216 0.953362 0.94672 0.883786 0.878659 0.868468 0.870028 \n", " 7 0.958446 0.930207 0.904424 0.804308 0.744757 0.707284 0.69747 \n", " 8 0.993867 0.944046 0.947579 0.89327 0.870397 0.864374 0.813023 \n", " 9 0.955157 0.887657 0.877086 0.839074 0.832804 0.812258 0.749093 \n", " 10 0.98145 0.914466 0.882992 0.816986 0.814429 0.795909 0.759795 \n", " 11 0.953754 0.886249 0.875739 0.809291 0.838379 0.93529 0.89784 \n", " 12 0.964661 0.906039 0.867686 0.796376 0.775782 0.766288 0.753283 \n", " 13 0.977237 0.920361 0.877822 0.843609 0.860929 0.847821 0.842011 \n", " 14 0.963062 0.918087 0.884264 0.834158 0.843795 0.816605 0.784158 \n", " 15 0.966666 0.922685 0.882232 0.815238 0.79727 0.799792 0.783199 \n", " 16 0.941548 0.877866 0.838078 0.795404 0.777064 0.751853 0.72648 \n", " 17 0.956372 0.907516 0.866541 0.781528 0.738276 0.68205 0.625546 \n", " 18 0.912249 0.850809 0.835026 0.789255 0.748005 0.720002 0.659907 \n", " 19 0.965417 0.90309 0.888983 0.85914 0.842532 0.784189 0.723958 \n", " 20 0.930141 0.860323 0.828237 0.759357 0.722278 0.713751 0.696022 \n", " 21 0.954955 0.883833 0.839352 0.793181 0.771284 0.731346 0.730449 \n", " 22 0.930422 0.832268 0.782965 0.695307 0.66132 0.623925 0.612072 \n", " 23 0.927178 0.857671 0.832014 0.754766 0.725508 0.738131 0.674739 \n", " 24 0.947507 0.877689 0.863621 0.829972 0.763063 0.731001 0.710131 \n", " 25 0.930899 0.847502 0.78786 0.718112 0.682314 0.656045 0.616545 \n", " 26 0.927474 0.86822 0.84534 0.766924 0.707388 0.658073 0.61551 \n", " 27 0.91809 0.815619 0.756651 0.673645 0.613178 0.576346 0.552013 \n", " 28 0.927104 0.824238 0.794411 0.737406 0.682716 0.627705 0.590434 \n", " 29 0.914655 0.825462 0.801901 0.723852 0.665729 0.619151 0.584633 \n", " 30 0.910589 0.814203 0.757088 0.691425 0.648567 0.606013 0.563732 \n", " 31 0.953054 0.862471 0.820105 0.74958 0.684994 0.716768 0.604073 \n", " 32 0.9099 0.834425 0.794384 0.715469 0.660536 0.62742 0.578792 \n", " 33 0.904262 0.807521 0.757013 0.671879 0.634192 0.63253 0.601439 \n", " 34 0.849709 0.714341 0.64991 0.580203 0.531888 0.484394 0.439999 \n", " 35 0.8625 0.758909 0.673101 0.614893 0.575571 0.549785 0.515711 \n", " 36 0.911505 0.793595 0.724707 0.621822 0.548602 0.497667 0.463336 \n", " 37 0.802414 0.669812 0.585273 0.510668 0.459034 0.428449 0.393282 \n", " 38 0.849624 0.681602 0.547459 0.44704 0.398556 0.373826 0.357213 \n", " 39 0.685178 0.515782 0.393311 0.322111 0.276282 0.245318 0.218335 \n", " 40 1.14342 0.967912 0.787415 0.634149 0.553352 0.503569 0.481015 \n", " \n", " 7 8 9 10 11 \n", " 0 0.815649 1.25624 1.63188 0.770718 0.711027 \n", " 1 0.770746 0.790945 0.850249 0.764146 0.789796 \n", " 2 0.770794 0.744194 0.715307 0.813657 0.889037 \n", " 3 0.727802 0.695011 0.646409 0.700458 0.690879 \n", " 4 0.753409 0.699289 0.657248 0.709275 0.70368 \n", " 5 0.75011 0.749464 0.693677 0.716762 0.694749 \n", " 6 0.840908 0.806217 0.726736 0.757169 0.729379 \n", " 7 0.71849 0.678543 0.626775 0.673374 0.679368 \n", " 8 0.783292 0.739553 0.700153 0.735935 0.728765 \n", " 9 0.696584 0.664327 0.629742 0.699524 0.682306 \n", " 10 0.734608 0.711801 0.661819 0.71598 0.688322 \n", " 11 0.887409 0.882094 0.827873 0.880095 0.850074 \n", " 12 0.729236 0.729968 0.72612 0.676369 0.648505 \n", " 13 0.823428 0.777644 0.716887 0.756556 0.74856 \n", " 14 0.74621 0.738223 0.707191 0.73857 0.724854 \n", " 15 0.765016 0.734597 0.67815 0.728755 0.719796 \n", " 16 0.705809 0.667162 0.597509 0.645986 0.611297 \n", " 17 0.586465 0.547185 0.517922 0.53008 0.505789 \n", " 18 0.623731 0.587942 0.561182 0.60346 0.568479 \n", " 19 0.68731 0.628503 0.584216 0.626873 0.597378 \n", " 20 0.685266 0.648531 0.603033 0.621289 0.59771 \n", " 21 0.713755 0.681172 0.620886 0.635855 0.599672 \n", " 22 0.593013 0.555593 0.509359 0.52257 0.506711 \n", " 23 0.642823 0.614553 0.575158 0.601438 0.596847 \n", " 24 0.687882 0.797584 0.923376 0.63621 0.608638 \n", " 25 0.600068 0.576502 0.529545 0.546728 0.529429 \n", " 26 0.587432 0.562504 0.54293 0.551058 0.53459 \n", " 27 0.540981 0.497424 0.461198 0.475252 0.463571 \n", " 28 0.55995 0.510685 0.477843 0.506077 0.487939 \n", " 29 0.570845 0.51804 0.488377 0.51619 0.500219 \n", " 30 0.521948 0.482253 0.458012 0.460647 0.434793 \n", " 31 0.552476 0.514844 0.492819 0.507731 0.48053 \n", " 32 0.531501 0.484595 0.458471 0.472361 0.458107 \n", " 33 0.545358 0.511486 0.486904 0.486806 0.454597 \n", " 34 0.406264 0.361327 0.341149 0.346866 0.335915 \n", " 35 0.483933 0.43511 0.419203 0.43718 0.413 \n", " 36 0.430329 0.417092 0.424588 0.397189 0.379128 \n", " 37 0.359082 0.374445 0.426721 0.306052 0.285965 \n", " 38 0.326241 0.294269 0.292724 0.275485 0.247033 \n", " 39 0.207738 0.193415 0.202008 0.204175 0.18773 \n", " 40 0.456381 0.418407 0.402863 0.444796 0.398244 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.958902 0.910734 0.844273 0.803231 0.766248 0.746201 0.792014 \n", " 1 0.974894 0.945994 0.910055 0.860598 0.833982 0.850094 0.808466 \n", " 2 0.978452 0.924588 1.04088 0.975968 0.807829 0.747893 0.766213 \n", " 3 0.97669 0.954314 0.885333 0.845652 0.801773 0.804699 0.789681 \n", " 4 0.968335 0.962017 0.908238 0.893428 0.821782 0.798023 0.784775 \n", " 5 0.993691 0.992165 0.951953 0.924793 0.880767 0.900327 0.845571 \n", " 6 0.990881 0.973204 0.944669 0.938088 0.875728 0.870647 0.860549 \n", " 7 0.970318 0.929998 0.902597 0.877579 0.780434 0.722651 0.68629 \n", " 8 0.973635 0.967663 0.919156 0.922596 0.869719 0.847449 0.841585 \n", " 9 0.943288 0.900988 0.837317 0.827345 0.791489 0.785574 0.766193 \n", " 10 0.968946 0.950972 0.886068 0.855571 0.791615 0.789137 0.771193 \n", " 11 0.974885 0.9298 0.863991 0.853745 0.788966 0.817323 0.9118 \n", " 12 0.96358 0.929527 0.873041 0.836084 0.767372 0.747527 0.738379 \n", " 13 0.959324 0.937487 0.882925 0.842116 0.809295 0.82591 0.813335 \n", " 14 0.954648 0.919385 0.87645 0.844161 0.796327 0.805527 0.77957 \n", " 15 0.968462 0.936179 0.893586 0.854408 0.789527 0.772125 0.774568 \n", " 16 0.947337 0.891963 0.831634 0.793942 0.753515 0.736141 0.712258 \n", " 17 0.976497 0.933894 0.886186 0.846175 0.76316 0.720924 0.66602 \n", " 18 0.927129 0.845772 0.78881 0.774177 0.731741 0.693497 0.667535 \n", " 19 0.98172 0.947769 0.886582 0.872733 0.843435 0.827131 0.769854 \n", " 20 0.922188 0.857765 0.79338 0.76379 0.70027 0.666077 0.658213 \n", " 21 0.926438 0.884707 0.818817 0.777608 0.734833 0.714547 0.677547 \n", " 22 0.900562 0.837902 0.749509 0.705108 0.626167 0.59556 0.561883 \n", " 23 0.922628 0.85544 0.791311 0.767639 0.696368 0.669374 0.68102 \n", " 24 0.959007 0.908666 0.84171 0.828218 0.795949 0.731782 0.701035 \n", " 25 0.95236 0.886552 0.807127 0.750327 0.683901 0.649809 0.624791 \n", " 26 0.947408 0.878696 0.822559 0.800882 0.72659 0.670185 0.623463 \n", " 27 0.930152 0.853963 0.75865 0.7038 0.626592 0.570348 0.53609 \n", " 28 0.895642 0.830353 0.738222 0.711508 0.660451 0.611469 0.562198 \n", " 29 0.902594 0.825561 0.745057 0.72379 0.653344 0.600883 0.558841 \n", " 30 0.884571 0.805481 0.72022 0.669697 0.611615 0.573703 0.536061 \n", " 31 0.875267 0.834177 0.754892 0.717811 0.656083 0.599552 0.627363 \n", " 32 0.894218 0.813649 0.746158 0.710353 0.639785 0.590664 0.561051 \n", " 33 0.938805 0.848926 0.758105 0.710687 0.630763 0.595383 0.593823 \n", " 34 0.841296 0.714857 0.600972 0.546766 0.488122 0.447475 0.407519 \n", " 35 0.828517 0.714596 0.628769 0.557675 0.509449 0.47687 0.455506 \n", " 36 0.862022 0.785738 0.684097 0.624713 0.536025 0.472907 0.429 \n", " 37 0.812559 0.652008 0.544262 0.475568 0.414948 0.372993 0.34814 \n", " 38 0.768164 0.652651 0.523583 0.420539 0.3434 0.306157 0.28716 \n", " 39 1.17087 0.802256 0.603914 0.460516 0.377151 0.323491 0.287236 \n", " \n", " 7 8 9 10 11 \n", " 0 0.776668 0.782128 1.20461 1.56482 0.739043 \n", " 1 0.785006 0.751395 0.771088 0.828902 0.744961 \n", " 2 0.783128 0.754185 0.728158 0.699893 0.796124 \n", " 3 0.755275 0.710837 0.67881 0.631341 0.684131 \n", " 4 0.776382 0.729552 0.677146 0.636436 0.686815 \n", " 5 0.793524 0.745377 0.744736 0.689301 0.71224 \n", " 6 0.862094 0.83324 0.798865 0.720109 0.750265 \n", " 7 0.676768 0.697164 0.658403 0.608171 0.653387 \n", " 8 0.791588 0.762641 0.720055 0.681694 0.716532 \n", " 9 0.70661 0.65708 0.626651 0.594028 0.659853 \n", " 10 0.7362 0.711795 0.689697 0.641267 0.693746 \n", " 11 0.87529 0.865122 0.859941 0.807081 0.857991 \n", " 12 0.725848 0.702677 0.703382 0.699675 0.651736 \n", " 13 0.807762 0.789934 0.746013 0.687727 0.725782 \n", " 14 0.748594 0.712368 0.704743 0.675119 0.705075 \n", " 15 0.758498 0.740889 0.711429 0.656762 0.705771 \n", " 16 0.688221 0.668639 0.632027 0.566042 0.611966 \n", " 17 0.610844 0.572681 0.534324 0.505749 0.517622 \n", " 18 0.611819 0.578279 0.545098 0.520288 0.559486 \n", " 19 0.710724 0.674746 0.617014 0.573536 0.615414 \n", " 20 0.641863 0.631945 0.598068 0.55611 0.572946 \n", " 21 0.676716 0.66125 0.631064 0.575213 0.589081 \n", " 22 0.551208 0.534045 0.500345 0.458709 0.470606 \n", " 23 0.622533 0.593086 0.567004 0.530657 0.554904 \n", " 24 0.68102 0.659684 0.764889 0.885524 0.610129 \n", " 25 0.587173 0.571481 0.549037 0.504318 0.520682 \n", " 26 0.583139 0.556538 0.532921 0.514376 0.522077 \n", " 27 0.513456 0.503195 0.46268 0.428985 0.442057 \n", " 28 0.528818 0.501515 0.45739 0.427976 0.453264 \n", " 29 0.527686 0.515241 0.46758 0.440806 0.46591 \n", " 30 0.498661 0.4617 0.426587 0.405144 0.407475 \n", " 31 0.528725 0.483564 0.450626 0.431348 0.4444 \n", " 32 0.517566 0.475278 0.433333 0.409973 0.422394 \n", " 33 0.564635 0.511985 0.480186 0.457108 0.457016 \n", " 34 0.370169 0.341788 0.303983 0.287007 0.291817 \n", " 35 0.427276 0.400947 0.360496 0.347317 0.362211 \n", " 36 0.399406 0.370953 0.359543 0.366004 0.342385 \n", " 37 0.319565 0.291776 0.304258 0.346736 0.248685 \n", " 38 0.274398 0.250607 0.226047 0.22486 0.211618 \n", " 39 0.255643 0.243235 0.226464 0.236525 0.239063 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.450509 0.431994 0.410294 0.380352 0.361862 0.345201 0.33617 \n", " 1 0.930779 0.907411 0.880511 0.84706 0.801027 0.776253 0.79125 \n", " 2 0.975124 0.954112 0.901588 1.01498 0.95169 0.787733 0.729289 \n", " 3 1.03619 1.01204 0.988849 0.917373 0.876256 0.830788 0.833821 \n", " 4 1.05494 1.02153 1.01487 0.958133 0.94251 0.866928 0.841863 \n", " 5 1.04238 1.03581 1.03421 0.992298 0.963988 0.918096 0.938485 \n", " 6 1.03871 1.02924 1.01088 0.981235 0.974399 0.909625 0.904348 \n", " 7 1.02536 0.994924 0.953581 0.925485 0.899833 0.800225 0.740977 \n", " 8 1.00659 0.980052 0.97404 0.925213 0.928676 0.875451 0.853034 \n", " 9 0.996614 0.940094 0.897937 0.834482 0.824544 0.788809 0.782914 \n", " 10 1.03479 1.00265 0.984055 0.916893 0.885335 0.819154 0.81659 \n", " 11 1.0079 0.982591 0.937149 0.87082 0.860493 0.795202 0.823783 \n", " 12 0.906831 0.873804 0.842924 0.791701 0.758187 0.695876 0.677881 \n", " 13 1.01921 0.977757 0.9555 0.89989 0.858296 0.824845 0.841779 \n", " 14 1.00183 0.956391 0.921063 0.87805 0.845702 0.797781 0.806997 \n", " 15 1.04068 1.00786 0.974264 0.929938 0.889166 0.821646 0.803537 \n", " 16 1.06849 1.01222 0.953054 0.888594 0.84832 0.805124 0.78656 \n", " 17 1.03066 1.00644 0.962529 0.913358 0.87212 0.786559 0.743029 \n", " 18 1.05894 0.981778 0.895626 0.835306 0.819811 0.774873 0.734375 \n", " 19 1.04362 1.02455 0.989114 0.925257 0.910805 0.880229 0.863213 \n", " 20 1.01972 0.940376 0.874682 0.809027 0.778853 0.714081 0.679213 \n", " 21 0.991487 0.918551 0.877175 0.811846 0.770988 0.728577 0.708464 \n", " 22 0.985203 0.887236 0.825504 0.738418 0.694675 0.616901 0.586747 \n", " 23 0.984284 0.908128 0.841996 0.778875 0.755575 0.685424 0.658855 \n", " 24 0.695317 0.666813 0.63181 0.585255 0.575874 0.553436 0.50882 \n", " 25 0.991622 0.944381 0.879124 0.800365 0.74404 0.678172 0.644365 \n", " 26 0.995411 0.94306 0.874663 0.818783 0.797207 0.723255 0.667109 \n", " 27 1.02003 0.948781 0.871066 0.773844 0.717896 0.639141 0.581771 \n", " 28 0.943603 0.845131 0.783524 0.696589 0.671381 0.623204 0.576984 \n", " 29 0.985075 0.889122 0.81324 0.733937 0.712988 0.643593 0.591914 \n", " 30 0.953708 0.843622 0.768194 0.68688 0.638696 0.583302 0.547146 \n", " 31 0.955476 0.836296 0.797036 0.721281 0.685851 0.626871 0.572858 \n", " 32 0.985688 0.88142 0.802004 0.735479 0.700187 0.630629 0.58221 \n", " 33 0.961763 0.902908 0.816466 0.729118 0.683513 0.606645 0.572617 \n", " 34 0.97506 0.820314 0.697029 0.585984 0.53313 0.475949 0.436315 \n", " 35 1.01828 0.843664 0.72766 0.640264 0.567871 0.518763 0.485588 \n", " 36 0.844925 0.728345 0.66389 0.578011 0.527836 0.452901 0.399571 \n", " 37 0.697194 0.566512 0.454577 0.379456 0.331564 0.2893 0.260048 \n", " 38 1.34852 1.03588 0.88011 0.706059 0.567103 0.46308 0.412857 \n", " \n", " 7 8 9 10 11 \n", " 0 0.356809 0.349896 0.352355 0.542689 0.704964 \n", " 1 0.752503 0.730667 0.699383 0.717712 0.771525 \n", " 2 0.747153 0.763647 0.735423 0.710045 0.682483 \n", " 3 0.818258 0.782608 0.736561 0.703376 0.654189 \n", " 4 0.827888 0.819034 0.769631 0.714346 0.6714 \n", " 5 0.881408 0.827155 0.776968 0.776299 0.718515 \n", " 6 0.893859 0.895464 0.865493 0.829787 0.747983 \n", " 7 0.703694 0.69393 0.714843 0.675099 0.623593 \n", " 8 0.847131 0.796805 0.767667 0.7248 0.686186 \n", " 9 0.763599 0.704218 0.654855 0.62453 0.592017 \n", " 10 0.798022 0.761811 0.736557 0.71369 0.663575 \n", " 11 0.919007 0.882209 0.87196 0.866738 0.81346 \n", " 12 0.669585 0.658222 0.637209 0.637849 0.634487 \n", " 13 0.828963 0.823282 0.805112 0.760347 0.700942 \n", " 14 0.780994 0.749961 0.713669 0.70603 0.676351 \n", " 15 0.806078 0.789355 0.77103 0.740371 0.68348 \n", " 16 0.761041 0.735358 0.714434 0.675315 0.604811 \n", " 17 0.686441 0.629573 0.590241 0.550707 0.521256 \n", " 18 0.706882 0.647882 0.612365 0.577229 0.550956 \n", " 19 0.803438 0.741728 0.704181 0.643931 0.598556 \n", " 20 0.671194 0.654522 0.644408 0.609863 0.567078 \n", " 21 0.671779 0.670955 0.65562 0.625691 0.570316 \n", " 22 0.553569 0.543052 0.526143 0.492942 0.451922 \n", " 23 0.670318 0.61275 0.583766 0.558093 0.522318 \n", " 24 0.487441 0.473525 0.458689 0.53184 0.615719 \n", " 25 0.619557 0.582254 0.566693 0.544437 0.500093 \n", " 26 0.620602 0.580463 0.553984 0.530475 0.512015 \n", " 27 0.546826 0.523739 0.513273 0.471946 0.437576 \n", " 28 0.530492 0.498994 0.473231 0.431595 0.40384 \n", " 29 0.550501 0.51981 0.507551 0.460601 0.434227 \n", " 30 0.511246 0.475577 0.440327 0.40684 0.386389 \n", " 31 0.59943 0.505184 0.462034 0.430562 0.412143 \n", " 32 0.553021 0.510159 0.468476 0.427132 0.404105 \n", " 33 0.571117 0.543045 0.492408 0.461825 0.43963 \n", " 34 0.397356 0.360937 0.333264 0.296402 0.279849 \n", " 35 0.463834 0.435087 0.408277 0.367086 0.353666 \n", " 36 0.362473 0.337468 0.313428 0.303787 0.309246 \n", " 37 0.242721 0.222799 0.203424 0.212127 0.241742 \n", " 38 0.38724 0.37003 0.337947 0.304828 0.303227 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.26161 0.568367 0.545008 0.517631 0.479857 0.45653 0.43551 \n", " 1 1.00572 0.936106 0.912604 0.88555 0.851908 0.805611 0.780696 \n", " 2 0.968379 0.94429 0.923942 0.873079 0.982888 0.921597 0.762824 \n", " 3 0.891833 0.924108 0.902567 0.881889 0.818143 0.781474 0.740924 \n", " 4 0.91642 0.966765 0.936152 0.930045 0.878052 0.863735 0.794471 \n", " 5 0.911584 0.950219 0.944224 0.942774 0.904563 0.878756 0.836922 \n", " 6 0.870237 0.903922 0.895679 0.879701 0.853907 0.847958 0.791589 \n", " 7 0.912821 0.935968 0.908187 0.870448 0.844802 0.821386 0.730462 \n", " 8 0.918303 0.924355 0.899985 0.894465 0.849627 0.852807 0.803929 \n", " 9 0.903658 0.900599 0.849524 0.811428 0.754086 0.745106 0.712814 \n", " 10 0.908338 0.939937 0.910749 0.893854 0.832848 0.804183 0.744069 \n", " 11 0.92728 0.93461 0.911137 0.869 0.807494 0.797918 0.737375 \n", " 12 0.996713 0.90385 0.870932 0.840153 0.789098 0.755695 0.693589 \n", " 13 0.925088 0.942863 0.904511 0.883922 0.832477 0.794 0.763054 \n", " 14 0.956389 0.958135 0.914682 0.880895 0.839758 0.80882 0.762989 \n", " 15 0.907363 0.944276 0.914496 0.884011 0.843792 0.806797 0.745532 \n", " 16 0.904056 0.965975 0.915104 0.861614 0.803338 0.766929 0.727877 \n", " 17 0.916269 0.944363 0.922167 0.881935 0.836882 0.799096 0.7207 \n", " 18 0.912426 0.966208 0.8958 0.817192 0.762155 0.748017 0.707014 \n", " 19 0.867489 0.905332 0.888783 0.858046 0.802651 0.790113 0.763589 \n", " 20 0.904032 0.921862 0.85013 0.790741 0.731386 0.704109 0.645552 \n", " 21 0.909164 0.901424 0.835114 0.797496 0.738101 0.700955 0.662396 \n", " 22 0.929477 0.915723 0.824665 0.767286 0.686343 0.645684 0.573396 \n", " 23 0.911591 0.897265 0.827841 0.767556 0.710016 0.688775 0.624826 \n", " 24 1.13163 0.786845 0.754589 0.714979 0.662295 0.651679 0.626288 \n", " 25 0.924084 0.916342 0.872688 0.812384 0.739605 0.687556 0.626687 \n", " 26 0.928703 0.924441 0.875822 0.812302 0.760407 0.740368 0.671689 \n", " 27 0.968769 0.988171 0.919149 0.843862 0.749676 0.695475 0.61918 \n", " 28 0.954369 0.900546 0.806566 0.747771 0.664802 0.640745 0.594766 \n", " 29 0.89003 0.876746 0.791345 0.723807 0.653225 0.63458 0.572817 \n", " 30 0.889235 0.848071 0.750179 0.683105 0.610798 0.567951 0.518693 \n", " 31 0.902617 0.862429 0.754855 0.719418 0.651041 0.619061 0.565824 \n", " 32 0.889191 0.876465 0.783751 0.713135 0.653981 0.622599 0.560749 \n", " 33 0.857957 0.825152 0.774657 0.700493 0.625552 0.586425 0.520475 \n", " 34 0.824866 0.804295 0.676649 0.574955 0.483358 0.439761 0.392594 \n", " 35 0.809294 0.824089 0.682772 0.588891 0.518162 0.459574 0.419832 \n", " 36 0.703647 0.594529 0.512497 0.467144 0.406715 0.37141 0.318682 \n", " 37 2.24609 1.56596 1.27244 1.02102 0.852294 0.744722 0.649793 \n", " \n", " 7 8 9 10 11 \n", " 0 0.424116 0.450154 0.441432 0.444535 0.684662 \n", " 1 0.795778 0.75681 0.734849 0.703385 0.72182 \n", " 2 0.706228 0.723527 0.7395 0.712169 0.687593 \n", " 3 0.743629 0.72975 0.697956 0.65689 0.627294 \n", " 4 0.7715 0.758693 0.750579 0.705305 0.654641 \n", " 5 0.855508 0.803478 0.754022 0.708272 0.707662 \n", " 6 0.786997 0.777869 0.779266 0.753184 0.722111 \n", " 7 0.676379 0.642346 0.633433 0.652523 0.616244 \n", " 8 0.783344 0.777923 0.731709 0.704951 0.665587 \n", " 9 0.707487 0.690032 0.636372 0.591765 0.564361 \n", " 10 0.74174 0.724873 0.691982 0.669043 0.648272 \n", " 11 0.763878 0.852177 0.818055 0.808551 0.803709 \n", " 12 0.675653 0.667384 0.656058 0.635114 0.635752 \n", " 13 0.77872 0.766864 0.761609 0.7448 0.703388 \n", " 14 0.771803 0.746934 0.717254 0.682545 0.675239 \n", " 15 0.7291 0.731406 0.716232 0.699604 0.671786 \n", " 16 0.711094 0.688024 0.664804 0.645888 0.610523 \n", " 17 0.680814 0.628964 0.576858 0.540819 0.504596 \n", " 18 0.670063 0.644978 0.591144 0.558738 0.526679 \n", " 19 0.748828 0.696974 0.643441 0.610869 0.558603 \n", " 20 0.61403 0.606781 0.591709 0.582565 0.551336 \n", " 21 0.64411 0.610757 0.610008 0.596066 0.568856 \n", " 22 0.545368 0.514529 0.504754 0.489037 0.458178 \n", " 23 0.600606 0.611055 0.558577 0.532155 0.508753 \n", " 24 0.575799 0.551606 0.535857 0.519069 0.601848 \n", " 25 0.595447 0.572522 0.538051 0.523672 0.503106 \n", " 26 0.619546 0.576355 0.539077 0.514486 0.492654 \n", " 27 0.563602 0.529748 0.507382 0.497242 0.457207 \n", " 28 0.550655 0.506285 0.476224 0.451637 0.411901 \n", " 29 0.526821 0.489962 0.462646 0.451735 0.409949 \n", " 30 0.486541 0.454618 0.4229 0.391554 0.361776 \n", " 31 0.517071 0.541056 0.455988 0.417039 0.388632 \n", " 32 0.517696 0.491741 0.453629 0.416565 0.379802 \n", " 33 0.491281 0.489994 0.465909 0.422465 0.396226 \n", " 34 0.359901 0.327765 0.297725 0.274898 0.244492 \n", " 35 0.392983 0.375378 0.352113 0.330416 0.297081 \n", " 36 0.281157 0.255053 0.237458 0.220542 0.213759 \n", " 37 0.584092 0.545174 0.500427 0.456909 0.476457 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.4091 1.77774 0.800888 0.767973 0.729396 0.676168 0.643298 \n", " 1 0.997316 1.00302 0.933593 0.910154 0.883173 0.849621 0.803449 \n", " 2 0.964279 0.933788 0.910559 0.890938 0.841892 0.947778 0.888677 \n", " 3 0.916969 0.817784 0.847379 0.827627 0.808665 0.750213 0.716588 \n", " 4 0.90334 0.827839 0.873317 0.845663 0.840146 0.79318 0.780246 \n", " 5 0.929648 0.847453 0.883369 0.877796 0.876448 0.840926 0.816934 \n", " 6 0.973927 0.847547 0.880354 0.872326 0.856764 0.831643 0.825849 \n", " 7 0.972734 0.887932 0.910448 0.883424 0.846715 0.821768 0.79899 \n", " 8 1.01308 0.930315 0.936446 0.911757 0.906165 0.86074 0.863962 \n", " 9 0.935838 0.845677 0.842814 0.795016 0.759365 0.705702 0.697298 \n", " 10 0.944703 0.85811 0.887962 0.860387 0.844427 0.786794 0.759714 \n", " 11 0.922222 0.855158 0.861917 0.84027 0.801411 0.744689 0.735857 \n", " 12 1.01879 1.01544 0.92083 0.887293 0.855937 0.803923 0.769891 \n", " 13 0.947021 0.876078 0.892911 0.856591 0.837092 0.788373 0.751934 \n", " 14 0.959964 0.918099 0.919775 0.878061 0.845627 0.806137 0.776438 \n", " 15 0.941064 0.853887 0.888625 0.860599 0.831912 0.794062 0.759248 \n", " 16 0.931105 0.841771 0.899425 0.852058 0.802254 0.747993 0.714091 \n", " 17 0.950042 0.870493 0.897184 0.876097 0.837875 0.795072 0.759174 \n", " 18 0.920297 0.839703 0.889199 0.824402 0.752059 0.701409 0.688397 \n", " 19 0.919097 0.797307 0.832088 0.816878 0.788627 0.737714 0.726191 \n", " 20 0.92572 0.836881 0.853386 0.786982 0.732005 0.677059 0.651807 \n", " 21 0.928868 0.844494 0.837304 0.775711 0.740769 0.685599 0.651095 \n", " 22 0.915646 0.851071 0.838478 0.755101 0.702562 0.628447 0.591218 \n", " 23 0.89564 0.816457 0.803626 0.741448 0.687454 0.635918 0.616895 \n", " 24 1.04805 1.18601 0.824651 0.790845 0.749332 0.694117 0.68299 \n", " 25 0.943885 0.872229 0.864921 0.823716 0.766797 0.698101 0.648973 \n", " 26 0.898202 0.834163 0.830335 0.786666 0.729612 0.682999 0.665 \n", " 27 0.915694 0.887095 0.904862 0.841659 0.772719 0.686473 0.636842 \n", " 28 0.86471 0.825252 0.778711 0.697446 0.646605 0.574861 0.554059 \n", " 29 0.900954 0.801876 0.789908 0.712966 0.652117 0.588526 0.571727 \n", " 30 0.829207 0.73736 0.703226 0.622053 0.566435 0.506478 0.470949 \n", " 31 0.909059 0.820532 0.783998 0.686208 0.653993 0.591834 0.562763 \n", " 32 0.843829 0.750325 0.739587 0.661352 0.601764 0.551848 0.525368 \n", " 33 0.854811 0.733391 0.705349 0.662185 0.598789 0.534729 0.501282 \n", " 34 0.94733 0.781421 0.761933 0.64101 0.544673 0.4579 0.416599 \n", " 35 0.906319 0.733478 0.746888 0.618809 0.533723 0.46962 0.416521 \n", " 36 2.47236 1.73967 1.46989 1.26708 1.15495 1.00555 0.918259 \n", " \n", " 7 8 9 10 11 \n", " 0 0.613679 0.597624 0.634314 0.622024 0.626396 \n", " 1 0.7786 0.793642 0.754778 0.732876 0.701497 \n", " 2 0.735576 0.681001 0.697682 0.713084 0.68673 \n", " 3 0.679405 0.681885 0.669159 0.640004 0.602348 \n", " 4 0.717677 0.696927 0.685358 0.678028 0.63713 \n", " 5 0.778043 0.795321 0.746951 0.700975 0.658443 \n", " 6 0.77095 0.766478 0.757587 0.758948 0.733546 \n", " 7 0.710545 0.657937 0.624832 0.616162 0.634732 \n", " 8 0.814445 0.793591 0.788099 0.74128 0.714172 \n", " 9 0.667078 0.662093 0.645758 0.595541 0.553796 \n", " 10 0.702924 0.700724 0.68479 0.653717 0.632047 \n", " 11 0.680023 0.704464 0.785896 0.754428 0.745663 \n", " 12 0.706619 0.688346 0.679922 0.668383 0.647046 \n", " 13 0.722628 0.737464 0.726236 0.721259 0.705341 \n", " 14 0.732442 0.740904 0.71703 0.688539 0.655219 \n", " 15 0.701593 0.68613 0.6883 0.67402 0.658372 \n", " 16 0.67773 0.662104 0.640623 0.619003 0.60139 \n", " 17 0.684695 0.646802 0.597542 0.548039 0.513801 \n", " 18 0.650663 0.616657 0.593571 0.544028 0.514205 \n", " 19 0.701812 0.688245 0.640586 0.591385 0.561448 \n", " 20 0.5976 0.56842 0.561709 0.547757 0.539292 \n", " 21 0.615279 0.598294 0.567313 0.566618 0.553667 \n", " 22 0.525027 0.499364 0.471126 0.462176 0.447785 \n", " 23 0.559619 0.537927 0.547286 0.500284 0.47662 \n", " 24 0.65638 0.603465 0.578109 0.561604 0.544009 \n", " 25 0.591521 0.562033 0.540395 0.507858 0.494286 \n", " 26 0.603313 0.556478 0.517683 0.484201 0.462113 \n", " 27 0.566979 0.516086 0.485087 0.464606 0.455322 \n", " 28 0.514301 0.476157 0.43779 0.411796 0.390535 \n", " 29 0.516082 0.474642 0.441433 0.416823 0.406993 \n", " 30 0.430103 0.403443 0.376972 0.350671 0.324679 \n", " 31 0.514368 0.470048 0.491851 0.41452 0.379113 \n", " 32 0.473177 0.436847 0.414946 0.382785 0.35151 \n", " 33 0.444908 0.419952 0.418852 0.398264 0.361128 \n", " 34 0.371916 0.340946 0.310502 0.282044 0.26042 \n", " 35 0.380501 0.356168 0.340212 0.319127 0.299462 \n", " 36 0.787897 0.69512 0.630582 0.587082 0.54526 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.01649 1.43234 1.80706 0.814095 0.780637 0.741424 0.687318 \n", " 1 0.984323 0.981681 0.987299 0.918958 0.895886 0.869328 0.836302 \n", " 2 0.954763 0.920659 0.891547 0.869369 0.850635 0.803808 0.904904 \n", " 3 0.955051 0.875753 0.781025 0.80929 0.790426 0.772316 0.716491 \n", " 4 0.961889 0.868912 0.796289 0.840034 0.813434 0.808127 0.76295 \n", " 5 0.943967 0.877557 0.799967 0.833871 0.82861 0.827338 0.793806 \n", " 6 0.950103 0.925331 0.805257 0.836427 0.8288 0.814014 0.790147 \n", " 7 0.991694 0.964655 0.880557 0.902886 0.876087 0.839682 0.814943 \n", " 8 0.955837 0.968339 0.889229 0.89509 0.871491 0.866145 0.822727 \n", " 9 0.921494 0.862368 0.779286 0.776648 0.732603 0.69975 0.6503 \n", " 10 0.977084 0.923054 0.838445 0.867613 0.84067 0.825076 0.768764 \n", " 11 0.91462 0.843482 0.782144 0.788327 0.768528 0.732986 0.681107 \n", " 12 0.962313 0.980391 0.977169 0.886127 0.853854 0.823679 0.773625 \n", " 13 0.950855 0.900479 0.833023 0.849028 0.814494 0.795953 0.749629 \n", " 14 0.948738 0.910754 0.871036 0.872626 0.83305 0.802279 0.764813 \n", " 15 0.930756 0.875901 0.79476 0.827093 0.801007 0.774306 0.739078 \n", " 16 0.939321 0.874607 0.790694 0.844849 0.800356 0.753574 0.702606 \n", " 17 0.925456 0.879222 0.805603 0.830305 0.81079 0.775416 0.735805 \n", " 18 0.928176 0.854197 0.779392 0.825333 0.76519 0.698043 0.65103 \n", " 19 0.908977 0.835438 0.724734 0.756349 0.742523 0.716844 0.670565 \n", " 20 0.938486 0.868776 0.785401 0.800891 0.738572 0.686976 0.635411 \n", " 21 0.979124 0.909478 0.826865 0.819825 0.759517 0.725305 0.671287 \n", " 22 0.892458 0.817176 0.759546 0.748307 0.673896 0.627008 0.560862 \n", " 23 0.924047 0.827613 0.754445 0.742588 0.685132 0.635239 0.587618 \n", " 24 0.913679 0.957579 1.08363 0.753466 0.722579 0.684649 0.6342 \n", " 25 0.898832 0.848394 0.783987 0.777418 0.740383 0.689222 0.627476 \n", " 26 1.02853 0.923831 0.857964 0.854027 0.809112 0.75043 0.702487 \n", " 27 0.898325 0.822591 0.7969 0.81286 0.756083 0.694153 0.616676 \n", " 28 0.859008 0.742793 0.708898 0.668919 0.599112 0.555439 0.49381 \n", " 29 0.875221 0.788533 0.701818 0.691343 0.624002 0.570746 0.51509 \n", " 30 0.803262 0.66607 0.592293 0.564875 0.499672 0.454996 0.406834 \n", " 31 0.895166 0.813759 0.734512 0.701809 0.61427 0.585432 0.52979 \n", " 32 0.784407 0.661905 0.58856 0.580137 0.518769 0.472028 0.432874 \n", " 33 0.831194 0.710514 0.60959 0.586282 0.550404 0.49771 0.444463 \n", " 34 0.857404 0.812245 0.669993 0.653284 0.549605 0.467005 0.392605 \n", " 35 1.52347 1.38075 1.11743 1.13786 0.942735 0.81311 0.71545 \n", " \n", " 7 8 9 10 11 \n", " 0 0.653906 0.623799 0.607479 0.644774 0.632281 \n", " 1 0.790853 0.766395 0.781201 0.742946 0.721387 \n", " 2 0.848476 0.702301 0.650195 0.666122 0.680827 \n", " 3 0.684378 0.648866 0.651235 0.639081 0.611237 \n", " 4 0.75051 0.690325 0.670366 0.659238 0.652187 \n", " 5 0.771159 0.734447 0.750757 0.705098 0.661697 \n", " 6 0.784642 0.732482 0.728233 0.719786 0.721079 \n", " 7 0.792354 0.704644 0.652472 0.619642 0.611045 \n", " 8 0.825806 0.778476 0.758543 0.753294 0.708542 \n", " 9 0.642556 0.614708 0.610114 0.595062 0.548787 \n", " 10 0.742305 0.686816 0.684666 0.669097 0.638737 \n", " 11 0.67303 0.621963 0.644317 0.718796 0.690015 \n", " 12 0.740877 0.679989 0.662404 0.654298 0.643194 \n", " 13 0.71498 0.687114 0.701221 0.690545 0.685813 \n", " 14 0.736636 0.694895 0.702923 0.680273 0.653243 \n", " 15 0.706674 0.653012 0.638619 0.640639 0.627348 \n", " 16 0.670761 0.636607 0.621928 0.601751 0.581443 \n", " 17 0.702583 0.633655 0.598587 0.552999 0.507186 \n", " 18 0.638954 0.60393 0.572366 0.550938 0.504954 \n", " 19 0.660091 0.637932 0.625599 0.582279 0.537556 \n", " 20 0.611712 0.56084 0.533455 0.527157 0.514062 \n", " 21 0.637503 0.602435 0.585804 0.55547 0.554789 \n", " 22 0.527637 0.468565 0.445661 0.420461 0.412473 \n", " 23 0.570039 0.517114 0.497069 0.505718 0.462286 \n", " 24 0.624034 0.59972 0.551373 0.528206 0.513126 \n", " 25 0.583318 0.531678 0.505173 0.485724 0.456479 \n", " 26 0.683975 0.620527 0.572356 0.532454 0.498016 \n", " 27 0.572091 0.509332 0.463614 0.435766 0.417368 \n", " 28 0.475941 0.441788 0.409023 0.376065 0.353736 \n", " 29 0.500388 0.451685 0.415416 0.386351 0.364812 \n", " 30 0.378295 0.345486 0.324071 0.302808 0.281681 \n", " 31 0.503766 0.460444 0.420771 0.440289 0.371064 \n", " 32 0.412102 0.371163 0.342666 0.325486 0.300259 \n", " 33 0.416663 0.369805 0.349062 0.348147 0.331035 \n", " 34 0.357193 0.318882 0.292328 0.266226 0.241825 \n", " 35 0.634556 0.579681 0.542611 0.518302 0.486179 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.957006 0.972787 1.37076 1.72936 0.779094 0.747074 0.709547 \n", " 1 0.978906 0.96356 0.960974 0.966474 0.899574 0.876989 0.850991 \n", " 2 0.99503 0.950018 0.916083 0.887116 0.865048 0.846408 0.799813 \n", " 3 0.969286 0.925717 0.848855 0.757037 0.784433 0.766148 0.748595 \n", " 4 0.977071 0.939834 0.848989 0.778031 0.820773 0.794783 0.789598 \n", " 5 0.939122 0.8865 0.824133 0.751267 0.783107 0.778166 0.776971 \n", " 6 0.921558 0.875576 0.852747 0.742092 0.770816 0.763788 0.750162 \n", " 7 0.998072 0.989782 0.962795 0.878859 0.901145 0.874398 0.838063 \n", " 8 0.944794 0.903069 0.914881 0.840139 0.845675 0.823379 0.818329 \n", " 9 0.974388 0.897893 0.840282 0.759328 0.756757 0.71384 0.681829 \n", " 10 0.967396 0.945227 0.892959 0.811108 0.839325 0.813261 0.798175 \n", " 11 0.929609 0.850239 0.784108 0.727088 0.732835 0.71443 0.68139 \n", " 12 0.956472 0.920425 0.937717 0.934634 0.847555 0.816687 0.787826 \n", " 13 0.93676 0.890723 0.843533 0.780342 0.795336 0.762985 0.745617 \n", " 14 0.943135 0.894788 0.858965 0.821505 0.823004 0.785679 0.756658 \n", " 15 0.941179 0.876008 0.82438 0.748012 0.778442 0.753891 0.728761 \n", " 16 0.935425 0.878665 0.81813 0.739635 0.790293 0.748674 0.704912 \n", " 17 0.969636 0.897356 0.852525 0.781142 0.805093 0.786171 0.751872 \n", " 18 0.93291 0.865905 0.796889 0.727103 0.769961 0.713853 0.651212 \n", " 19 0.877928 0.798016 0.733454 0.636264 0.66402 0.651882 0.629337 \n", " 20 0.891276 0.83645 0.774318 0.700009 0.713814 0.658271 0.612285 \n", " 21 0.937175 0.917611 0.85234 0.774917 0.76832 0.711801 0.679738 \n", " 22 0.895831 0.799492 0.732051 0.680424 0.670356 0.603697 0.561693 \n", " 23 0.928667 0.858132 0.768577 0.700628 0.689617 0.63626 0.589926 \n", " 24 0.872906 0.797555 0.835876 0.945907 0.657704 0.630743 0.597633 \n", " 25 0.867509 0.779745 0.735989 0.680116 0.674418 0.642289 0.597906 \n", " 26 0.983572 1.01164 0.908654 0.843869 0.839996 0.795819 0.738101 \n", " 27 0.930491 0.835884 0.765414 0.741509 0.756359 0.703529 0.645903 \n", " 28 0.80217 0.68907 0.595846 0.568657 0.536586 0.480589 0.445556 \n", " 29 1.00513 0.879714 0.792582 0.705422 0.694893 0.627206 0.573677 \n", " 30 0.815556 0.655105 0.543218 0.483048 0.460687 0.40751 0.371075 \n", " 31 0.858003 0.768055 0.698207 0.630214 0.602154 0.527045 0.502303 \n", " 32 0.847946 0.665134 0.56126 0.499067 0.491925 0.439888 0.400254 \n", " 33 0.763852 0.634909 0.542727 0.465637 0.447832 0.420427 0.380176 \n", " 34 1.47589 1.26543 1.19878 0.988833 0.964172 0.811154 0.689245 \n", " \n", " 7 8 9 10 11 \n", " 0 0.657768 0.625792 0.596979 0.581361 0.617053 \n", " 1 0.818661 0.774171 0.750229 0.764722 0.727275 \n", " 2 0.900407 0.844259 0.69881 0.646963 0.662811 \n", " 3 0.694485 0.663358 0.628937 0.631233 0.619452 \n", " 4 0.745457 0.733302 0.674497 0.654995 0.644122 \n", " 5 0.745481 0.724212 0.689735 0.705053 0.662173 \n", " 6 0.728166 0.723093 0.675025 0.671109 0.663325 \n", " 7 0.813371 0.790826 0.703285 0.651214 0.618447 \n", " 8 0.777308 0.780217 0.7355 0.716667 0.711708 \n", " 9 0.633645 0.626099 0.598964 0.594488 0.579822 \n", " 10 0.743699 0.718102 0.664423 0.662343 0.647282 \n", " 11 0.633163 0.625654 0.578182 0.598963 0.668199 \n", " 12 0.739951 0.708628 0.65039 0.633571 0.625817 \n", " 13 0.702222 0.669765 0.643661 0.656876 0.646875 \n", " 14 0.721322 0.694748 0.65538 0.662952 0.64159 \n", " 15 0.695605 0.665107 0.614601 0.601055 0.602956 \n", " 16 0.657235 0.627447 0.595498 0.581767 0.562893 \n", " 17 0.713463 0.681249 0.614415 0.580411 0.536208 \n", " 18 0.607353 0.596086 0.563412 0.533966 0.513976 \n", " 19 0.588708 0.579512 0.560058 0.549231 0.511199 \n", " 20 0.566326 0.545204 0.499863 0.475455 0.469842 \n", " 21 0.629113 0.597452 0.564587 0.549001 0.520573 \n", " 22 0.502438 0.472674 0.419755 0.399237 0.376662 \n", " 23 0.545702 0.529377 0.480227 0.461612 0.469643 \n", " 24 0.553596 0.544723 0.523499 0.481296 0.461074 \n", " 25 0.544341 0.506034 0.461235 0.438243 0.42137 \n", " 26 0.690946 0.672738 0.610333 0.562953 0.523707 \n", " 27 0.573812 0.532326 0.473929 0.431388 0.405476 \n", " 28 0.39612 0.381785 0.354389 0.328106 0.301668 \n", " 29 0.517735 0.502957 0.454004 0.417549 0.388335 \n", " 30 0.331796 0.308521 0.281763 0.264298 0.246957 \n", " 31 0.454561 0.432233 0.395063 0.361023 0.377769 \n", " 32 0.367053 0.34944 0.314726 0.290562 0.275995 \n", " 33 0.339504 0.318269 0.282476 0.266632 0.265933 \n", " 34 0.579441 0.527177 0.470634 0.431443 0.392918 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.986869 0.944439 0.960013 1.35276 1.70666 0.768863 0.737264 \n", " 1 0.975083 0.954516 0.939552 0.93703 0.942393 0.877159 0.855137 \n", " 2 0.978652 0.973788 0.929737 0.896526 0.868178 0.846581 0.828339 \n", " 3 0.991805 0.961343 0.918131 0.841899 0.750833 0.778005 0.75987 \n", " 4 0.944959 0.923292 0.888104 0.80226 0.735207 0.775596 0.751037 \n", " 5 0.962124 0.903552 0.852923 0.792919 0.722812 0.753446 0.748693 \n", " 6 0.923212 0.850794 0.808342 0.787266 0.685108 0.711627 0.705138 \n", " 7 0.961645 0.95979 0.951819 0.925867 0.84515 0.866582 0.84086 \n", " 8 0.953325 0.900696 0.860918 0.87218 0.800926 0.806204 0.784948 \n", " 9 0.957414 0.932893 0.859655 0.804498 0.726991 0.72453 0.68344 \n", " 10 0.971008 0.939349 0.917823 0.86707 0.787592 0.814991 0.789683 \n", " 11 0.975077 0.90644 0.829048 0.764566 0.708967 0.714571 0.696624 \n", " 12 0.96222 0.920336 0.885651 0.902289 0.899324 0.815534 0.785832 \n", " 13 0.959323 0.898656 0.854491 0.809221 0.7486 0.762984 0.731949 \n", " 14 0.952931 0.898743 0.852672 0.818535 0.782837 0.784267 0.748698 \n", " 15 0.959217 0.902795 0.840281 0.790759 0.717506 0.746695 0.723145 \n", " 16 0.926129 0.866325 0.813758 0.757694 0.684998 0.731914 0.693369 \n", " 17 0.971875 0.942365 0.872117 0.828548 0.759172 0.78245 0.76406 \n", " 18 0.961422 0.896921 0.8325 0.766147 0.699053 0.740258 0.686314 \n", " 19 0.911807 0.800501 0.727637 0.668769 0.58015 0.605458 0.59439 \n", " 20 0.950309 0.846987 0.794886 0.735842 0.665225 0.678344 0.625561 \n", " 21 0.922597 0.864635 0.846585 0.786366 0.714936 0.70885 0.656705 \n", " 22 0.896586 0.803189 0.716813 0.656346 0.610059 0.601032 0.541266 \n", " 23 0.930004 0.863664 0.798066 0.71478 0.651587 0.641347 0.591725 \n", " 24 0.971341 0.847889 0.774698 0.811921 0.918798 0.638855 0.612666 \n", " 25 0.90156 0.782112 0.702987 0.663539 0.613165 0.608028 0.579062 \n", " 26 1.02734 1.01046 1.03929 0.933497 0.866941 0.862962 0.817577 \n", " 27 0.939614 0.874303 0.785408 0.719193 0.696732 0.710686 0.661046 \n", " 28 0.787185 0.631456 0.542426 0.469041 0.447638 0.422393 0.378313 \n", " 29 1.01946 1.02469 0.89683 0.808003 0.719147 0.708413 0.639409 \n", " 30 0.895654 0.730456 0.586748 0.486535 0.432644 0.412616 0.364988 \n", " 31 0.837865 0.718891 0.643527 0.585004 0.528034 0.504524 0.441593 \n", " 32 0.836779 0.709544 0.556571 0.469651 0.417609 0.411632 0.368089 \n", " 33 1.14427 0.87405 0.726505 0.621024 0.532812 0.512439 0.481081 \n", " \n", " 7 8 9 10 11 \n", " 0 0.70023 0.649131 0.617574 0.58914 0.573727 \n", " 1 0.829787 0.798263 0.754882 0.731535 0.745668 \n", " 2 0.782739 0.881185 0.826236 0.683892 0.633152 \n", " 3 0.742461 0.688794 0.657922 0.623783 0.62606 \n", " 4 0.746137 0.704426 0.69294 0.637372 0.618943 \n", " 5 0.747543 0.717245 0.696782 0.663611 0.678348 \n", " 6 0.692558 0.672252 0.667568 0.623191 0.619576 \n", " 7 0.805919 0.782174 0.760494 0.67631 0.626236 \n", " 8 0.780134 0.741027 0.743801 0.701171 0.683217 \n", " 9 0.652792 0.606661 0.599436 0.573457 0.569172 \n", " 10 0.775034 0.722138 0.697283 0.64516 0.64314 \n", " 11 0.664408 0.617383 0.610061 0.563772 0.584035 \n", " 12 0.758062 0.711995 0.681855 0.625818 0.609634 \n", " 13 0.715288 0.673658 0.642521 0.617479 0.630156 \n", " 14 0.721043 0.687371 0.662047 0.624533 0.631748 \n", " 15 0.69904 0.667236 0.637982 0.589536 0.576542 \n", " 16 0.65284 0.608685 0.581097 0.551508 0.538792 \n", " 17 0.730725 0.693396 0.662089 0.597134 0.564087 \n", " 18 0.626089 0.583923 0.573091 0.541677 0.513367 \n", " 19 0.573834 0.536788 0.528403 0.510665 0.500793 \n", " 20 0.58186 0.538185 0.518113 0.475024 0.451829 \n", " 21 0.627124 0.580418 0.551207 0.520886 0.506507 \n", " 22 0.503606 0.450478 0.423792 0.376346 0.35795 \n", " 23 0.548634 0.507505 0.492323 0.446613 0.429301 \n", " 24 0.580506 0.537731 0.529111 0.508496 0.467503 \n", " 25 0.539048 0.490756 0.45622 0.415831 0.395102 \n", " 26 0.758281 0.709837 0.691131 0.62702 0.578344 \n", " 27 0.6069 0.539162 0.500181 0.44531 0.405339 \n", " 28 0.350735 0.31182 0.300536 0.27897 0.25828 \n", " 29 0.584839 0.527808 0.512743 0.462838 0.425673 \n", " 30 0.332355 0.297175 0.276328 0.252362 0.236719 \n", " 31 0.420862 0.380861 0.362153 0.331009 0.302488 \n", " 32 0.334924 0.307143 0.292404 0.263356 0.243136 \n", " 33 0.435023 0.388483 0.364184 0.323228 0.305097 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.983481 0.970567 0.928839 0.944155 1.33041 1.67846 0.756162 \n", " 1 1.00035 0.975423 0.954848 0.939879 0.937356 0.94272 0.877464 \n", " 2 0.974719 0.953911 0.94917 0.906233 0.873861 0.846229 0.825178 \n", " 3 0.958213 0.950361 0.921171 0.879766 0.806718 0.719458 0.745495 \n", " 4 0.951092 0.898742 0.878135 0.844668 0.763022 0.699249 0.737663 \n", " 5 0.960997 0.924599 0.868311 0.819657 0.761993 0.694621 0.72406 \n", " 6 1.06424 0.98252 0.90545 0.860271 0.837841 0.72912 0.757343 \n", " 7 0.956736 0.920041 0.918267 0.91064 0.88581 0.808586 0.82909 \n", " 8 0.973057 0.92764 0.876429 0.837723 0.848681 0.779346 0.784482 \n", " 9 0.929986 0.890382 0.867578 0.799467 0.748172 0.676092 0.673802 \n", " 10 0.955744 0.928034 0.897777 0.877203 0.828696 0.752736 0.778923 \n", " 11 0.967549 0.943435 0.877025 0.802145 0.739756 0.685961 0.691383 \n", " 12 0.938089 0.902647 0.863357 0.83082 0.846427 0.843645 0.765044 \n", " 13 0.987866 0.947683 0.887752 0.844123 0.799402 0.739517 0.753726 \n", " 14 0.958255 0.913151 0.861226 0.817077 0.784365 0.750158 0.751528 \n", " 15 0.939042 0.900745 0.847762 0.789059 0.742556 0.673768 0.701178 \n", " 16 0.950361 0.880158 0.823322 0.773364 0.720083 0.650995 0.695583 \n", " 17 0.949081 0.922388 0.894381 0.82771 0.786359 0.720516 0.742608 \n", " 18 0.933721 0.8977 0.837474 0.777323 0.715368 0.65272 0.691194 \n", " 19 0.93243 0.850196 0.746411 0.678471 0.62358 0.540949 0.564547 \n", " 20 0.956435 0.908909 0.810088 0.760257 0.703785 0.636244 0.648792 \n", " 21 0.943935 0.870872 0.816159 0.799121 0.742279 0.674853 0.669108 \n", " 22 0.919139 0.824087 0.738242 0.658851 0.603274 0.560729 0.552432 \n", " 23 0.95519 0.888331 0.824964 0.762305 0.682751 0.62239 0.612608 \n", " 24 0.945036 0.917952 0.801286 0.732118 0.767294 0.868297 0.603741 \n", " 25 0.925644 0.834523 0.723957 0.650715 0.6142 0.567573 0.562817 \n", " 26 0.964807 0.991186 0.974902 1.00272 0.900644 0.836431 0.832592 \n", " 27 0.920199 0.864632 0.804533 0.722732 0.661801 0.641132 0.653972 \n", " 28 0.881763 0.69411 0.556794 0.478291 0.413583 0.39471 0.37245 \n", " 29 1.00564 1.0252 1.03047 0.901886 0.812558 0.723201 0.712407 \n", " 30 0.908693 0.813875 0.66376 0.533174 0.442111 0.393141 0.374942 \n", " 31 0.813193 0.681346 0.584597 0.523311 0.475721 0.429394 0.410275 \n", " 32 1.53608 1.28536 1.08991 0.854935 0.72142 0.64148 0.632299 \n", " \n", " 7 8 9 10 11 \n", " 0 0.725086 0.688663 0.638408 0.607373 0.579408 \n", " 1 0.855434 0.830076 0.798541 0.755144 0.73179 \n", " 2 0.807398 0.76295 0.858908 0.805348 0.666603 \n", " 3 0.728117 0.711436 0.660011 0.630429 0.597717 \n", " 4 0.714305 0.709645 0.669974 0.659049 0.606199 \n", " 5 0.719492 0.718387 0.689271 0.669606 0.637728 \n", " 6 0.750437 0.737049 0.715438 0.710454 0.663226 \n", " 7 0.804481 0.771052 0.748334 0.727592 0.647051 \n", " 8 0.7638 0.759115 0.721062 0.72376 0.682279 \n", " 9 0.63559 0.607088 0.564186 0.557467 0.533307 \n", " 10 0.754734 0.740734 0.690179 0.666424 0.616607 \n", " 11 0.674018 0.642847 0.597348 0.590264 0.545477 \n", " 12 0.73718 0.711129 0.667915 0.639641 0.587073 \n", " 13 0.723068 0.706609 0.665484 0.634725 0.609987 \n", " 14 0.717444 0.690943 0.658676 0.63441 0.598462 \n", " 15 0.679064 0.656428 0.626562 0.599092 0.553599 \n", " 16 0.658951 0.620434 0.57847 0.552252 0.524132 \n", " 17 0.725155 0.693517 0.658089 0.628376 0.566729 \n", " 18 0.640826 0.584593 0.545221 0.535107 0.505775 \n", " 19 0.554228 0.535061 0.500517 0.492699 0.476159 \n", " 20 0.598309 0.556512 0.514739 0.495541 0.45433 \n", " 21 0.619887 0.591965 0.547877 0.520304 0.491683 \n", " 22 0.497499 0.462884 0.414052 0.389524 0.345915 \n", " 23 0.56521 0.52405 0.484764 0.470262 0.426601 \n", " 24 0.578992 0.548599 0.508175 0.500029 0.480547 \n", " 25 0.536005 0.498967 0.454265 0.422297 0.384912 \n", " 26 0.788804 0.731595 0.684856 0.666808 0.604953 \n", " 27 0.608294 0.558468 0.496136 0.460266 0.409774 \n", " 28 0.333582 0.309265 0.274951 0.265001 0.245985 \n", " 29 0.643014 0.588136 0.530784 0.515633 0.465447 \n", " 30 0.331662 0.302008 0.270041 0.251097 0.22932 \n", " 31 0.3591 0.342242 0.309714 0.2945 0.269174 \n", " 32 0.565413 0.51447 0.471795 0.449155 0.404536 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.956917 0.94111 0.928752 0.888821 0.903478 1.27309 1.60615 \n", " 1 0.944703 0.945031 0.921484 0.902047 0.887906 0.885523 0.89059 \n", " 2 0.931302 0.907758 0.888379 0.883964 0.843976 0.813829 0.788095 \n", " 3 0.933673 0.894658 0.887326 0.860073 0.821413 0.753211 0.671739 \n", " 4 0.913622 0.868939 0.821111 0.802284 0.771708 0.697114 0.63885 \n", " 5 0.92347 0.887452 0.853839 0.801859 0.756929 0.703677 0.641461 \n", " 6 0.957493 1.019 0.940756 0.866962 0.823703 0.802227 0.698127 \n", " 7 0.919753 0.879961 0.84621 0.844578 0.837563 0.814727 0.743699 \n", " 8 0.942618 0.917221 0.874411 0.826138 0.789653 0.799982 0.734626 \n", " 9 0.95836 0.891261 0.853306 0.831452 0.766178 0.717018 0.647939 \n", " 10 0.946131 0.904259 0.878042 0.849414 0.829949 0.784055 0.712187 \n", " 11 0.891733 0.862796 0.841293 0.782073 0.715299 0.659665 0.611694 \n", " 12 0.940725 0.882483 0.849143 0.812181 0.781572 0.796255 0.793638 \n", " 13 0.953112 0.941547 0.903248 0.846127 0.804543 0.761919 0.704843 \n", " 14 0.952644 0.912876 0.869908 0.820442 0.778384 0.747221 0.714634 \n", " 15 0.946635 0.88893 0.852676 0.802521 0.746951 0.702929 0.637812 \n", " 16 0.938802 0.892201 0.826294 0.772936 0.726036 0.676016 0.611156 \n", " 17 0.940221 0.892346 0.867249 0.840916 0.77823 0.739351 0.677444 \n", " 18 0.951517 0.888452 0.854177 0.796871 0.739636 0.680685 0.621074 \n", " 19 0.943351 0.879609 0.802034 0.704128 0.640036 0.588255 0.510305 \n", " 20 0.983868 0.941006 0.894247 0.79702 0.747993 0.692432 0.625981 \n", " 21 0.914037 0.862791 0.796009 0.746 0.730426 0.67847 0.616841 \n", " 22 0.933608 0.858116 0.769375 0.689229 0.615109 0.563221 0.523501 \n", " 23 0.937943 0.895914 0.833203 0.773769 0.714998 0.640381 0.583766 \n", " 24 1.01539 0.95958 0.932079 0.813617 0.743385 0.779103 0.88166 \n", " 25 0.845358 0.7825 0.705471 0.612003 0.550088 0.519219 0.479802 \n", " 26 0.9536 0.92004 0.945194 0.929666 0.956192 0.858854 0.79762 \n", " 27 0.826644 0.760678 0.714743 0.665062 0.597442 0.547074 0.529988 \n", " 28 0.7919 0.698268 0.549666 0.440926 0.378759 0.327516 0.312571 \n", " 29 0.818345 0.822958 0.83897 0.843278 0.738054 0.664953 0.591828 \n", " 30 0.827881 0.752289 0.673791 0.549514 0.441404 0.366015 0.325474 \n", " 31 1.20718 0.981674 0.822511 0.705717 0.631734 0.574283 0.518358 \n", " \n", " 7 8 9 10 11 \n", " 0 0.723585 0.693847 0.658993 0.610903 0.581205 \n", " 1 0.828943 0.808131 0.784175 0.754383 0.713387 \n", " 2 0.76849 0.751931 0.710537 0.799902 0.750022 \n", " 3 0.696048 0.679824 0.664248 0.616235 0.588615 \n", " 4 0.673946 0.652605 0.648347 0.612103 0.602122 \n", " 5 0.668647 0.664429 0.663408 0.636521 0.618361 \n", " 6 0.72515 0.718538 0.705719 0.685027 0.680254 \n", " 7 0.762558 0.739924 0.709178 0.688283 0.669205 \n", " 8 0.739468 0.719971 0.715556 0.679686 0.68223 \n", " 9 0.645745 0.609124 0.581809 0.540693 0.534254 \n", " 10 0.736963 0.714077 0.700831 0.652999 0.630524 \n", " 11 0.616529 0.601045 0.573248 0.532675 0.526358 \n", " 12 0.719695 0.693484 0.668977 0.628324 0.601726 \n", " 13 0.718386 0.689165 0.673477 0.634281 0.604964 \n", " 14 0.715938 0.683469 0.658223 0.627484 0.604367 \n", " 15 0.663759 0.642825 0.621397 0.593126 0.567121 \n", " 16 0.653015 0.618625 0.582465 0.543069 0.518456 \n", " 17 0.698216 0.681806 0.65206 0.618749 0.590813 \n", " 18 0.657683 0.609757 0.55625 0.518787 0.509163 \n", " 19 0.532566 0.522831 0.50475 0.472164 0.464788 \n", " 20 0.638326 0.588657 0.547534 0.506435 0.487547 \n", " 21 0.611589 0.5666 0.541077 0.50078 0.475577 \n", " 22 0.515755 0.464469 0.432152 0.386563 0.363663 \n", " 23 0.574591 0.530134 0.491528 0.454681 0.441079 \n", " 24 0.613033 0.587902 0.557042 0.515996 0.507725 \n", " 25 0.475782 0.453116 0.421805 0.384017 0.356992 \n", " 26 0.79396 0.752204 0.697649 0.653078 0.635868 \n", " 27 0.540603 0.502843 0.461655 0.410128 0.380476 \n", " 28 0.294943 0.264164 0.244907 0.217734 0.209855 \n", " 29 0.582995 0.526207 0.481298 0.434364 0.421966 \n", " 30 0.310407 0.274577 0.250027 0.223561 0.207879 \n", " 31 0.495278 0.4335 0.413149 0.373882 0.355516 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.981919 0.939615 0.924094 0.91196 0.872751 0.887143 1.25008 \n", " 1 0.937399 0.885563 0.885871 0.863798 0.845578 0.832322 0.830088 \n", " 2 0.962092 0.895998 0.873347 0.854703 0.850455 0.811983 0.782978 \n", " 3 0.916122 0.855358 0.819615 0.812899 0.787931 0.752514 0.690033 \n", " 4 0.953651 0.871277 0.828664 0.783053 0.765099 0.73594 0.664804 \n", " 5 0.953086 0.880146 0.845818 0.813782 0.76424 0.721418 0.670665 \n", " 6 0.989912 0.947834 1.00872 0.931266 0.858216 0.815394 0.794134 \n", " 7 0.980846 0.902136 0.863106 0.830002 0.828401 0.821521 0.799121 \n", " 8 0.950998 0.896428 0.872276 0.831562 0.785655 0.750958 0.760781 \n", " 9 0.966379 0.926139 0.861296 0.824617 0.803498 0.740418 0.692911 \n", " 10 0.984444 0.931412 0.890192 0.864383 0.836201 0.817038 0.771858 \n", " 11 0.949342 0.84656 0.819088 0.798674 0.742454 0.679064 0.626247 \n", " 12 0.985589 0.927168 0.869766 0.836906 0.800477 0.770309 0.78478 \n", " 13 0.8925 0.850652 0.840331 0.806149 0.755168 0.718055 0.680013 \n", " 14 0.926218 0.882356 0.845523 0.805725 0.759908 0.720953 0.692089 \n", " 15 0.957363 0.906273 0.851029 0.816321 0.768304 0.715103 0.672958 \n", " 16 0.933991 0.876833 0.833308 0.771751 0.721916 0.678111 0.631393 \n", " 17 0.968492 0.910596 0.864229 0.839923 0.81442 0.75371 0.716055 \n", " 18 0.947874 0.901919 0.842141 0.809653 0.755333 0.701082 0.645204 \n", " 19 0.954094 0.900045 0.83923 0.765215 0.671804 0.610654 0.561251 \n", " 20 0.91794 0.903133 0.863788 0.820865 0.731617 0.686613 0.635611 \n", " 21 0.959915 0.877397 0.828206 0.7641 0.716096 0.701147 0.651273 \n", " 22 0.975497 0.910732 0.83709 0.750523 0.672341 0.600037 0.549421 \n", " 23 0.95118 0.892152 0.852175 0.792526 0.735993 0.680092 0.609118 \n", " 24 0.938831 0.953279 0.900883 0.875065 0.763849 0.697913 0.731446 \n", " 25 0.830968 0.702466 0.650233 0.586224 0.508555 0.457105 0.431455 \n", " 26 0.904035 0.862088 0.831748 0.854489 0.840451 0.864431 0.776434 \n", " 27 0.787485 0.65097 0.599022 0.56285 0.523727 0.470477 0.430813 \n", " 28 0.819747 0.649158 0.572403 0.450587 0.361448 0.310486 0.268481 \n", " 29 0.826126 0.676056 0.679867 0.693095 0.696654 0.609725 0.549335 \n", " 30 1.88368 1.55946 1.41707 1.26921 1.03511 0.831465 0.689457 \n", " \n", " 7 8 9 10 11 \n", " 0 1.57711 0.710502 0.681302 0.647078 0.599858 \n", " 1 0.834838 0.77705 0.757541 0.735085 0.707158 \n", " 2 0.75822 0.739358 0.723427 0.683602 0.76958 \n", " 3 0.615394 0.637665 0.622801 0.608532 0.564546 \n", " 4 0.60924 0.642709 0.622357 0.618297 0.583733 \n", " 5 0.611367 0.637278 0.633258 0.632285 0.606659 \n", " 6 0.691085 0.717835 0.711289 0.6986 0.678117 \n", " 7 0.729454 0.747952 0.725751 0.695594 0.675099 \n", " 8 0.698628 0.703232 0.684691 0.680492 0.64638 \n", " 9 0.626155 0.624035 0.588644 0.562248 0.522515 \n", " 10 0.701108 0.725498 0.702969 0.689929 0.642841 \n", " 11 0.580707 0.585297 0.570597 0.544209 0.505691 \n", " 12 0.782201 0.709324 0.68349 0.659336 0.619269 \n", " 13 0.629072 0.641159 0.61508 0.601079 0.566096 \n", " 14 0.661907 0.663115 0.633041 0.609658 0.581187 \n", " 15 0.610618 0.635459 0.615417 0.594903 0.567837 \n", " 16 0.570814 0.60991 0.57779 0.544017 0.507222 \n", " 17 0.656099 0.676216 0.660323 0.631514 0.599254 \n", " 18 0.588701 0.623401 0.577973 0.527255 0.491745 \n", " 19 0.486879 0.508118 0.49883 0.481579 0.450488 \n", " 20 0.574613 0.585946 0.540352 0.502604 0.464877 \n", " 21 0.592114 0.587073 0.543887 0.519388 0.480706 \n", " 22 0.510674 0.503118 0.453088 0.421563 0.377091 \n", " 23 0.555266 0.54654 0.504253 0.467532 0.432483 \n", " 24 0.82773 0.575534 0.551941 0.522968 0.484433 \n", " 25 0.3987 0.39536 0.376525 0.350507 0.319106 \n", " 26 0.721077 0.717767 0.680019 0.630699 0.590406 \n", " 27 0.417358 0.425717 0.395981 0.363546 0.32297 \n", " 28 0.256229 0.241779 0.216547 0.200762 0.178487 \n", " 29 0.488924 0.481627 0.434713 0.397612 0.358839 \n", " 30 0.613089 0.584708 0.517216 0.470971 0.421119 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.944711 0.92763 0.887665 0.873002 0.861538 0.824498 0.838094 \n", " 1 0.948365 0.888997 0.839837 0.840129 0.819196 0.801917 0.789345 \n", " 2 0.951318 0.915255 0.852379 0.83083 0.813094 0.809053 0.772454 \n", " 3 0.95496 0.874859 0.816833 0.7827 0.776286 0.752443 0.718621 \n", " 4 0.958176 0.913766 0.834837 0.794006 0.750303 0.7331 0.70516 \n", " 5 0.946597 0.902188 0.833143 0.800648 0.770323 0.723427 0.682892 \n", " 6 1.03989 1.0294 0.985645 1.04896 0.968416 0.892452 0.847921 \n", " 7 0.958188 0.939834 0.864415 0.827018 0.795297 0.793764 0.787171 \n", " 8 0.963267 0.916065 0.8635 0.840234 0.801017 0.756796 0.723373 \n", " 9 0.957688 0.92549 0.886952 0.824853 0.789726 0.7695 0.709089 \n", " 10 0.932858 0.918346 0.868876 0.830422 0.806346 0.780056 0.76218 \n", " 11 0.932712 0.885463 0.789596 0.763974 0.744933 0.692496 0.633371 \n", " 12 0.925318 0.911984 0.857926 0.80481 0.774404 0.740696 0.712781 \n", " 13 0.920443 0.821496 0.782977 0.773477 0.742014 0.695089 0.660929 \n", " 14 0.914335 0.846874 0.806769 0.773091 0.736703 0.69481 0.659193 \n", " 15 0.923305 0.883938 0.836767 0.785759 0.753713 0.709379 0.660259 \n", " 16 0.927785 0.866543 0.813512 0.77313 0.716019 0.669782 0.629141 \n", " 17 0.936406 0.906901 0.852688 0.80927 0.786509 0.762627 0.705778 \n", " 18 0.948035 0.898618 0.855051 0.798379 0.767579 0.716083 0.66465 \n", " 19 0.900825 0.859471 0.810783 0.755999 0.689325 0.605177 0.550093 \n", " 20 0.877003 0.805037 0.79205 0.757545 0.719902 0.641631 0.602162 \n", " 21 0.922091 0.885129 0.80904 0.763681 0.70457 0.660306 0.646521 \n", " 22 1.04043 1.01494 0.947553 0.870933 0.780866 0.699524 0.624296 \n", " 23 0.92353 0.878444 0.82393 0.78701 0.731922 0.679712 0.628086 \n", " 24 0.923684 0.867183 0.880528 0.832131 0.808283 0.705555 0.64465 \n", " 25 0.869438 0.722476 0.610751 0.565338 0.509686 0.442157 0.397425 \n", " 26 0.84058 0.759914 0.724654 0.699151 0.718266 0.706466 0.726624 \n", " 27 0.818914 0.644883 0.533089 0.490548 0.460926 0.428887 0.38528 \n", " 28 0.835087 0.68456 0.542104 0.478007 0.37628 0.30184 0.259283 \n", " 29 1.78982 1.47862 1.21002 1.21684 1.24052 1.24688 1.0913 \n", " \n", " 7 8 9 10 11 \n", " 0 1.18096 1.48991 0.671219 0.643633 0.611302 \n", " 1 0.787227 0.791732 0.736927 0.718426 0.697129 \n", " 2 0.744861 0.721308 0.703365 0.688209 0.650323 \n", " 3 0.658954 0.587677 0.608944 0.59475 0.581124 \n", " 4 0.636999 0.583759 0.615829 0.596328 0.592438 \n", " 5 0.634849 0.578718 0.603245 0.599439 0.598519 \n", " 6 0.825814 0.718653 0.746471 0.739664 0.726469 \n", " 7 0.765708 0.698954 0.716679 0.695406 0.666509 \n", " 8 0.732835 0.672965 0.6774 0.659541 0.655495 \n", " 9 0.663592 0.599661 0.59763 0.563738 0.538458 \n", " 10 0.720034 0.654034 0.676787 0.65577 0.643606 \n", " 11 0.584108 0.541632 0.545913 0.532203 0.50759 \n", " 12 0.726172 0.723785 0.65635 0.632446 0.610096 \n", " 13 0.625913 0.579025 0.590151 0.566146 0.553259 \n", " 14 0.632802 0.605205 0.60631 0.578812 0.557432 \n", " 15 0.621346 0.563787 0.586722 0.568218 0.549277 \n", " 16 0.585796 0.529592 0.565865 0.536065 0.50473 \n", " 17 0.670519 0.614375 0.633213 0.61833 0.591354 \n", " 18 0.611676 0.558109 0.591006 0.547939 0.499857 \n", " 19 0.505588 0.438593 0.457725 0.449358 0.433818 \n", " 20 0.557433 0.503938 0.513876 0.473891 0.440785 \n", " 21 0.600533 0.545983 0.541335 0.501514 0.478923 \n", " 22 0.571634 0.531321 0.523459 0.471407 0.438607 \n", " 23 0.562539 0.512805 0.504746 0.465693 0.43178 \n", " 24 0.675624 0.76456 0.531611 0.509819 0.483057 \n", " 25 0.375123 0.346645 0.343741 0.327365 0.304744 \n", " 26 0.652655 0.606123 0.603341 0.57161 0.530153 \n", " 27 0.352799 0.34178 0.348625 0.324275 0.297713 \n", " 28 0.224205 0.213974 0.201907 0.180836 0.167654 \n", " 29 0.98321 0.875086 0.862025 0.778059 0.711655 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.94931 0.896824 0.880609 0.842669 0.82875 0.817867 0.782704 \n", " 1 0.930985 0.882914 0.827642 0.781876 0.782148 0.762659 0.746572 \n", " 2 0.946013 0.899959 0.865844 0.806362 0.785976 0.769197 0.765374 \n", " 3 0.949766 0.906989 0.830912 0.7758 0.743382 0.73729 0.714645 \n", " 4 0.980995 0.939966 0.896399 0.81897 0.778916 0.736043 0.719167 \n", " 5 0.94377 0.893369 0.851457 0.786295 0.755627 0.727007 0.682749 \n", " 6 1.03058 1.07169 1.06088 1.01579 1.08104 0.998031 0.919744 \n", " 7 0.982815 0.941721 0.923683 0.84956 0.812805 0.78163 0.780123 \n", " 8 0.99288 0.956409 0.909542 0.857351 0.834252 0.795313 0.751408 \n", " 9 0.902454 0.864269 0.835212 0.800433 0.744392 0.712691 0.694438 \n", " 10 0.943693 0.880331 0.866637 0.819952 0.783664 0.760943 0.736134 \n", " 11 0.899489 0.838964 0.796464 0.710233 0.687186 0.670059 0.622893 \n", " 12 0.926591 0.857392 0.845036 0.794946 0.74573 0.717556 0.686322 \n", " 13 0.918895 0.84579 0.754868 0.719474 0.710744 0.681833 0.638714 \n", " 14 0.847594 0.774985 0.717805 0.683813 0.655267 0.624425 0.588917 \n", " 15 0.935433 0.86369 0.826865 0.782739 0.735025 0.705049 0.663577 \n", " 16 0.92026 0.853803 0.797444 0.748643 0.711481 0.658923 0.616374 \n", " 17 0.947733 0.887463 0.859501 0.808121 0.766972 0.745401 0.722767 \n", " 18 0.928372 0.880129 0.834252 0.793805 0.741192 0.712599 0.664791 \n", " 19 0.928317 0.836251 0.797862 0.752664 0.701806 0.639912 0.561796 \n", " 20 0.848056 0.743748 0.682716 0.671703 0.64244 0.610517 0.544139 \n", " 21 0.921965 0.850136 0.816058 0.745907 0.704087 0.649589 0.608779 \n", " 22 1.0871 1.13105 1.10334 1.03009 0.946795 0.848883 0.760455 \n", " 23 0.930528 0.859371 0.817417 0.76669 0.732335 0.681074 0.632492 \n", " 24 0.926622 0.855906 0.803551 0.815917 0.771072 0.748973 0.653783 \n", " 25 0.769945 0.66942 0.556267 0.470245 0.435279 0.39243 0.340437 \n", " 26 0.869402 0.730802 0.660671 0.630015 0.607843 0.624462 0.614203 \n", " 27 0.896287 0.733982 0.578 0.477801 0.439672 0.413122 0.384406 \n", " 28 1.92932 1.61115 1.32074 1.04589 0.922227 0.725964 0.582346 \n", " \n", " 7 8 9 10 11 \n", " 0 0.795611 1.1211 1.41439 0.637195 0.611007 \n", " 1 0.734868 0.732896 0.73709 0.686068 0.668844 \n", " 2 0.730751 0.704648 0.682367 0.665392 0.651055 \n", " 3 0.682522 0.625852 0.558156 0.578355 0.564874 \n", " 4 0.691758 0.624893 0.572664 0.604125 0.584995 \n", " 5 0.644492 0.599151 0.546177 0.569325 0.565733 \n", " 6 0.873852 0.851068 0.740631 0.769299 0.762284 \n", " 7 0.773643 0.752549 0.686943 0.704362 0.683455 \n", " 8 0.718223 0.727617 0.668174 0.672577 0.654845 \n", " 9 0.639921 0.598862 0.541166 0.539334 0.508747 \n", " 10 0.719264 0.679491 0.617207 0.638679 0.618846 \n", " 11 0.56971 0.525399 0.487192 0.491043 0.47871 \n", " 12 0.660457 0.672864 0.670653 0.608168 0.586019 \n", " 13 0.607324 0.575149 0.532063 0.542286 0.520228 \n", " 14 0.558728 0.536359 0.512968 0.513904 0.490598 \n", " 15 0.617628 0.581228 0.527385 0.548839 0.53153 \n", " 16 0.578973 0.539085 0.487363 0.520743 0.493319 \n", " 17 0.668889 0.635473 0.582264 0.600117 0.586012 \n", " 18 0.617043 0.567862 0.518133 0.548674 0.508691 \n", " 19 0.51066 0.469346 0.407153 0.424914 0.417147 \n", " 20 0.510667 0.472734 0.427367 0.435796 0.401886 \n", " 21 0.59607 0.553671 0.503377 0.499092 0.462378 \n", " 22 0.678674 0.621425 0.5776 0.569054 0.512468 \n", " 23 0.584452 0.523458 0.47718 0.469681 0.433341 \n", " 24 0.597348 0.626049 0.708459 0.492603 0.47241 \n", " 25 0.305995 0.288824 0.266898 0.264662 0.252053 \n", " 26 0.631728 0.567419 0.526964 0.524546 0.496959 \n", " 27 0.345322 0.316209 0.306333 0.312468 0.290643 \n", " 28 0.50024 0.432563 0.412824 0.389542 0.34889 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.971089 0.921864 0.870895 0.855149 0.818307 0.804789 0.794221 \n", " 1 0.971075 0.904056 0.857375 0.803703 0.75926 0.759524 0.740599 \n", " 2 0.902542 0.853816 0.812251 0.78146 0.727775 0.709376 0.694233 \n", " 3 0.961676 0.913367 0.872229 0.799068 0.746068 0.714892 0.709034 \n", " 4 0.937834 0.92001 0.881532 0.840674 0.768058 0.730494 0.690286 \n", " 5 0.97019 0.915635 0.866737 0.826075 0.762855 0.733102 0.705335 \n", " 6 1.00608 1.03685 1.07821 1.06733 1.02196 1.08762 1.0041 \n", " 7 0.959595 0.943104 0.903671 0.886362 0.815234 0.779964 0.750048 \n", " 8 0.93332 0.926675 0.892636 0.848894 0.800183 0.778624 0.742282 \n", " 9 1.01054 0.911963 0.873376 0.844012 0.808867 0.752235 0.720201 \n", " 10 0.899639 0.848983 0.791981 0.77966 0.737661 0.705015 0.684575 \n", " 11 0.885643 0.796626 0.743023 0.705382 0.629013 0.608601 0.593433 \n", " 12 0.921673 0.854014 0.790235 0.778847 0.73268 0.687319 0.661352 \n", " 13 0.970646 0.891921 0.820963 0.73271 0.698354 0.689881 0.661818 \n", " 14 0.908383 0.76994 0.703983 0.652042 0.621164 0.595234 0.567217 \n", " 15 0.91208 0.853189 0.787754 0.754167 0.71392 0.670401 0.64306 \n", " 16 0.923053 0.849449 0.788105 0.736084 0.691037 0.656735 0.608221 \n", " 17 1.0197 0.9664 0.904943 0.876429 0.824037 0.782078 0.760082 \n", " 18 0.879941 0.816913 0.774462 0.734093 0.698502 0.652206 0.627045 \n", " 19 0.90358 0.838808 0.755619 0.720932 0.680092 0.634138 0.578211 \n", " 20 0.870442 0.738183 0.647389 0.594264 0.584678 0.559207 0.531419 \n", " 21 0.854026 0.787382 0.726038 0.696935 0.637024 0.601309 0.554766 \n", " 22 0.964221 1.04821 1.09059 1.06386 0.993233 0.912919 0.818511 \n", " 23 0.95177 0.885649 0.817924 0.777993 0.729713 0.697015 0.648226 \n", " 24 0.947285 0.877776 0.810787 0.761192 0.772906 0.730425 0.709491 \n", " 25 0.892198 0.686944 0.597255 0.4963 0.419551 0.388355 0.350125 \n", " 26 0.833992 0.725074 0.609483 0.550994 0.525428 0.506936 0.520796 \n", " 27 1.66589 1.49311 1.22273 0.962884 0.795962 0.732444 0.688215 \n", " \n", " 7 8 9 10 11 \n", " 0 0.760075 0.772608 1.08869 1.3735 0.618773 \n", " 1 0.724977 0.713612 0.711697 0.71577 0.666223 \n", " 2 0.690782 0.659534 0.635975 0.615865 0.600544 \n", " 3 0.687256 0.656365 0.601867 0.536765 0.55619 \n", " 4 0.674459 0.648754 0.586046 0.537064 0.566568 \n", " 5 0.662396 0.62528 0.58129 0.529895 0.552353 \n", " 6 0.925337 0.879166 0.856243 0.745134 0.773977 \n", " 7 0.748602 0.742384 0.722143 0.659187 0.675903 \n", " 8 0.701304 0.670332 0.6791 0.62362 0.62773 \n", " 9 0.701755 0.646663 0.605172 0.546868 0.545017 \n", " 10 0.662255 0.647078 0.611297 0.555264 0.574581 \n", " 11 0.55166 0.50456 0.465316 0.431478 0.434889 \n", " 12 0.632564 0.608725 0.620161 0.618122 0.560532 \n", " 13 0.619965 0.589497 0.558266 0.516445 0.526368 \n", " 14 0.534963 0.507539 0.487219 0.465971 0.466822 \n", " 15 0.605235 0.563326 0.530126 0.481017 0.500585 \n", " 16 0.568946 0.534423 0.497604 0.449862 0.480673 \n", " 17 0.737003 0.682064 0.647989 0.593732 0.611937 \n", " 18 0.584977 0.542961 0.499686 0.455926 0.482801 \n", " 19 0.507628 0.461422 0.424092 0.367895 0.383944 \n", " 20 0.473641 0.444506 0.411488 0.371998 0.379335 \n", " 21 0.519913 0.509059 0.472849 0.429897 0.426238 \n", " 22 0.733247 0.654392 0.599191 0.556935 0.548694 \n", " 23 0.601987 0.556264 0.498212 0.454166 0.447028 \n", " 24 0.619319 0.565859 0.593047 0.671113 0.466636 \n", " 25 0.303737 0.273009 0.257689 0.238126 0.236131 \n", " 26 0.51224 0.526856 0.473223 0.439484 0.437467 \n", " 27 0.640378 0.575268 0.526769 0.510317 0.520538 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.528179 0.512909 0.486909 0.459989 0.451672 0.432213 0.425073 \n", " 1 0.969243 0.941207 0.87625 0.831005 0.778983 0.735907 0.736163 \n", " 2 0.803703 0.725376 0.686215 0.652809 0.628062 0.584915 0.570128 \n", " 3 1.06946 1.02847 0.976805 0.93281 0.854568 0.797887 0.764545 \n", " 4 1.02815 0.964238 0.945912 0.906351 0.864342 0.789682 0.75106 \n", " 5 1.012 0.981832 0.926623 0.877138 0.835988 0.772009 0.741899 \n", " 6 1.04243 1.04877 1.08084 1.12396 1.11262 1.06533 1.13377 \n", " 7 1.04395 1.00177 0.984556 0.94339 0.92532 0.851065 0.814245 \n", " 8 1.04746 0.977613 0.970652 0.934997 0.88918 0.838158 0.815575 \n", " 9 1.02087 1.03162 0.930992 0.8916 0.861624 0.825745 0.767932 \n", " 10 1.00483 0.903986 0.853085 0.795808 0.783428 0.741225 0.708421 \n", " 11 1.00958 0.894127 0.804257 0.75014 0.71214 0.635038 0.614431 \n", " 12 0.901875 0.831234 0.770214 0.712693 0.702422 0.660786 0.619876 \n", " 13 1.01203 0.982322 0.90265 0.830838 0.741523 0.706755 0.698179 \n", " 14 1.11835 1.01589 0.861059 0.787297 0.729209 0.694676 0.665677 \n", " 15 0.925419 0.844056 0.789558 0.729003 0.69792 0.660676 0.620402 \n", " 16 1.00041 0.923436 0.849801 0.788432 0.736388 0.691323 0.657007 \n", " 17 1.02238 1.04252 0.988032 0.925199 0.896047 0.842482 0.799584 \n", " 18 0.97928 0.861709 0.799986 0.758415 0.718882 0.684029 0.638692 \n", " 19 1.00547 0.908527 0.843401 0.759756 0.724879 0.683815 0.63761 \n", " 20 0.967692 0.84232 0.714334 0.626473 0.575065 0.565788 0.54114 \n", " 21 0.880861 0.752279 0.693575 0.639539 0.613903 0.56113 0.52967 \n", " 22 1.13809 1.09737 1.19296 1.24119 1.21078 1.13039 1.03899 \n", " 23 1.04361 0.993279 0.924274 0.853595 0.811923 0.761537 0.727413 \n", " 24 0.730663 0.692147 0.641359 0.592413 0.556175 0.564734 0.533695 \n", " 25 0.972213 0.867407 0.667856 0.580659 0.48251 0.407893 0.377564 \n", " 26 1.22273 1.01975 0.886573 0.745235 0.673719 0.642458 0.619848 \n", " \n", " 7 8 9 10 11 \n", " 0 0.419491 0.401456 0.408076 0.575021 0.725453 \n", " 1 0.717821 0.702679 0.691664 0.689807 0.693755 \n", " 2 0.557957 0.555184 0.530069 0.511135 0.494972 \n", " 3 0.75828 0.73499 0.701953 0.64367 0.574046 \n", " 4 0.709721 0.693448 0.66702 0.602545 0.552185 \n", " 5 0.713799 0.670344 0.632783 0.588266 0.536254 \n", " 6 1.04671 0.964601 0.916471 0.892575 0.776752 \n", " 7 0.783015 0.781505 0.775014 0.753883 0.68816 \n", " 8 0.777509 0.734586 0.702144 0.711328 0.653215 \n", " 9 0.735229 0.716398 0.660157 0.617799 0.55828 \n", " 10 0.687882 0.665455 0.650205 0.614251 0.557947 \n", " 11 0.599118 0.556945 0.509393 0.469773 0.435611 \n", " 12 0.596457 0.570494 0.548994 0.559307 0.557469 \n", " 13 0.669779 0.627423 0.596588 0.564981 0.522657 \n", " 14 0.634345 0.598273 0.567604 0.54488 0.521117 \n", " 15 0.5951 0.560096 0.521312 0.490589 0.445142 \n", " 16 0.608473 0.569181 0.534644 0.49781 0.450048 \n", " 17 0.777096 0.7535 0.697331 0.662494 0.607022 \n", " 18 0.614053 0.572856 0.531711 0.489332 0.446479 \n", " 19 0.581377 0.510407 0.463948 0.426414 0.369909 \n", " 20 0.51425 0.458339 0.430145 0.398193 0.35998 \n", " 21 0.488672 0.457971 0.448411 0.416515 0.37868 \n", " 22 0.931541 0.834503 0.744759 0.681935 0.633843 \n", " 23 0.676497 0.62824 0.580523 0.51994 0.473973 \n", " 24 0.518399 0.452514 0.413452 0.433318 0.490357 \n", " 25 0.340396 0.295297 0.265422 0.250528 0.231509 \n", " 26 0.636795 0.626334 0.644205 0.578626 0.537372 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.33673 0.706033 0.68562 0.650866 0.614881 0.603763 0.577751 \n", " 1 0.903281 0.875499 0.850175 0.7915 0.750631 0.703641 0.664731 \n", " 2 1.2622 1.01443 0.915566 0.866138 0.823972 0.792737 0.738278 \n", " 3 0.919507 0.983372 0.945685 0.89818 0.857726 0.785781 0.733662 \n", " 4 0.865555 0.889924 0.834601 0.818739 0.784496 0.748136 0.683513 \n", " 5 0.877651 0.888183 0.861706 0.813252 0.769822 0.733706 0.677555 \n", " 6 0.875054 0.912184 0.917731 0.945796 0.983526 0.973604 0.932219 \n", " 7 0.915603 0.955846 0.917225 0.901463 0.86377 0.847226 0.779238 \n", " 8 0.915545 0.958994 0.895048 0.888675 0.856032 0.814084 0.767371 \n", " 9 0.894636 0.913304 0.922927 0.832899 0.797658 0.77084 0.738742 \n", " 10 0.87417 0.878394 0.790238 0.745742 0.695671 0.684849 0.647957 \n", " 11 0.944235 0.95328 0.844266 0.759408 0.708309 0.672427 0.599626 \n", " 12 0.998898 0.900881 0.830317 0.769365 0.711907 0.701648 0.660058 \n", " 13 0.920251 0.931321 0.903983 0.830665 0.76458 0.682388 0.650392 \n", " 14 0.930858 1.04102 0.945646 0.801524 0.732862 0.67879 0.646645 \n", " 15 1.10205 1.01986 0.930194 0.870134 0.803399 0.769145 0.728099 \n", " 16 0.862146 0.862503 0.796136 0.732652 0.679743 0.634874 0.596021 \n", " 17 0.885684 0.905509 0.923344 0.875084 0.819434 0.793614 0.746173 \n", " 18 0.828952 0.811777 0.714316 0.663151 0.62869 0.595919 0.567028 \n", " 19 0.831411 0.835963 0.755359 0.701213 0.63167 0.602672 0.568531 \n", " 20 0.789417 0.763913 0.664942 0.563907 0.494549 0.453966 0.446643 \n", " 21 0.79928 0.704054 0.601281 0.55436 0.51117 0.49068 0.448499 \n", " 22 0.906636 1.03184 0.994918 1.08158 1.12531 1.09773 1.02485 \n", " 23 0.743676 0.776109 0.738677 0.68736 0.634798 0.603807 0.566337 \n", " 24 0.98774 0.721705 0.683661 0.633495 0.585149 0.549356 0.557811 \n", " 25 0.920386 0.894811 0.798348 0.614685 0.53443 0.444095 0.375419 \n", " \n", " 7 8 9 10 11 \n", " 0 0.568208 0.560746 0.536638 0.545487 0.768648 \n", " 1 0.664963 0.648394 0.634717 0.624767 0.62309 \n", " 2 0.719613 0.704251 0.700751 0.669051 0.645152 \n", " 3 0.703005 0.697244 0.675829 0.645451 0.591859 \n", " 4 0.650084 0.614302 0.600217 0.577342 0.521536 \n", " 5 0.651129 0.626467 0.588329 0.555363 0.516292 \n", " 6 0.992106 0.915924 0.844078 0.801961 0.781051 \n", " 7 0.745526 0.716931 0.715548 0.709605 0.690257 \n", " 8 0.746696 0.711844 0.672546 0.642844 0.651253 \n", " 9 0.68702 0.657762 0.640916 0.5906 0.552706 \n", " 10 0.619281 0.601326 0.581721 0.56839 0.53696 \n", " 11 0.580167 0.565708 0.525887 0.480987 0.443576 \n", " 12 0.619192 0.595799 0.569865 0.548389 0.558691 \n", " 13 0.6425 0.616365 0.577386 0.54901 0.519924 \n", " 14 0.619651 0.590485 0.556908 0.528359 0.507206 \n", " 15 0.683716 0.655832 0.617255 0.574514 0.540654 \n", " 16 0.566436 0.524593 0.490717 0.460941 0.429185 \n", " 17 0.708179 0.688261 0.667363 0.617615 0.58676 \n", " 18 0.529445 0.509021 0.474871 0.440763 0.405633 \n", " 19 0.530116 0.483363 0.424358 0.385732 0.354525 \n", " 20 0.427185 0.405958 0.36182 0.339564 0.314341 \n", " 21 0.423354 0.390585 0.366047 0.358405 0.332912 \n", " 22 0.941983 0.844569 0.75659 0.675225 0.618267 \n", " 23 0.540959 0.503094 0.467207 0.431721 0.386667 \n", " 24 0.527151 0.512044 0.446966 0.408383 0.428005 \n", " 25 0.347504 0.313296 0.271787 0.244291 0.230583 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.2605 1.68494 0.889953 0.864223 0.820416 0.775056 0.761042 \n", " 1 0.948182 0.856475 0.830132 0.806121 0.750486 0.711735 0.66718 \n", " 2 0.941237 1.18803 0.95482 0.861765 0.815241 0.775553 0.746153 \n", " 3 0.912282 0.83885 0.897113 0.862731 0.819393 0.782488 0.716854 \n", " 4 0.932852 0.807434 0.830167 0.778559 0.763762 0.731819 0.6979 \n", " 5 0.883297 0.775226 0.784529 0.761142 0.718343 0.679981 0.64808 \n", " 6 0.92723 0.811376 0.845804 0.850948 0.876971 0.911955 0.902755 \n", " 7 0.907577 0.83098 0.867504 0.832452 0.818147 0.783938 0.768922 \n", " 8 0.898762 0.822857 0.861907 0.804436 0.798708 0.769369 0.731668 \n", " 9 0.874544 0.782399 0.798725 0.807141 0.728407 0.697587 0.674134 \n", " 10 0.914628 0.79954 0.803403 0.722773 0.682076 0.63628 0.626382 \n", " 11 1.02305 0.965999 0.975253 0.863725 0.776912 0.724635 0.687926 \n", " 12 0.942555 0.941516 0.849129 0.78262 0.725168 0.671012 0.661342 \n", " 13 0.937707 0.862926 0.873306 0.847671 0.77892 0.716952 0.63988 \n", " 14 0.864523 0.804749 0.899987 0.817533 0.692936 0.633576 0.58683 \n", " 15 0.897288 0.988858 0.915108 0.834652 0.780761 0.72088 0.690144 \n", " 16 0.80469 0.69376 0.694047 0.640643 0.589558 0.546983 0.510877 \n", " 17 0.804147 0.71222 0.728163 0.742505 0.703696 0.658945 0.638183 \n", " 18 0.73549 0.609686 0.597054 0.525372 0.487741 0.462395 0.438293 \n", " 19 0.76664 0.637393 0.640883 0.579089 0.537578 0.484263 0.462033 \n", " 20 0.931681 0.735485 0.711723 0.619513 0.525382 0.460762 0.422952 \n", " 21 0.789742 0.631225 0.556021 0.474857 0.437801 0.403693 0.387511 \n", " 22 0.92213 0.836037 0.951487 0.917444 0.997356 1.03768 1.01225 \n", " 23 0.842377 0.626455 0.653776 0.622245 0.579017 0.534739 0.508633 \n", " 24 2.10521 2.0794 1.51934 1.43925 1.33364 1.23186 1.15651 \n", " \n", " 7 8 9 10 11 \n", " 0 0.728254 0.716225 0.70682 0.676431 0.687585 \n", " 1 0.630286 0.630505 0.614795 0.601827 0.592393 \n", " 2 0.694894 0.677326 0.662867 0.659573 0.629736 \n", " 3 0.669307 0.641339 0.636083 0.616546 0.588833 \n", " 4 0.637617 0.606432 0.573053 0.559914 0.538575 \n", " 5 0.598482 0.57514 0.553356 0.519669 0.49055 \n", " 6 0.864381 0.919911 0.849272 0.782654 0.743602 \n", " 7 0.707219 0.676622 0.65067 0.649415 0.644021 \n", " 8 0.689684 0.671102 0.639779 0.604459 0.577764 \n", " 9 0.646063 0.600829 0.575242 0.56051 0.516506 \n", " 10 0.592639 0.566411 0.54999 0.532058 0.519865 \n", " 11 0.613447 0.59354 0.578747 0.538008 0.492073 \n", " 12 0.62214 0.583623 0.561573 0.537129 0.516886 \n", " 13 0.609877 0.602477 0.57797 0.541419 0.514811 \n", " 14 0.55904 0.535703 0.510488 0.481459 0.456779 \n", " 15 0.653315 0.61349 0.58847 0.553855 0.515504 \n", " 16 0.479612 0.455805 0.422135 0.394875 0.370915 \n", " 17 0.600033 0.56948 0.553463 0.536658 0.496653 \n", " 18 0.417043 0.389402 0.37438 0.349263 0.324177 \n", " 19 0.435859 0.406408 0.370566 0.32533 0.295718 \n", " 20 0.416129 0.398 0.378223 0.337101 0.316365 \n", " 21 0.354199 0.334341 0.308462 0.289083 0.283048 \n", " 22 0.945048 0.868631 0.778802 0.697675 0.622646 \n", " 23 0.477069 0.455692 0.423795 0.393565 0.363672 \n", " 24 1.17431 1.10976 1.07796 0.940957 0.859732 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.987447 1.24468 1.66379 0.878782 0.853375 0.810117 0.765327 \n", " 1 0.966154 0.91609 0.827487 0.802036 0.778836 0.725085 0.687645 \n", " 2 0.956933 0.9007 1.13686 0.913698 0.824651 0.78013 0.742152 \n", " 3 0.936535 0.854384 0.785613 0.840178 0.807978 0.767391 0.732827 \n", " 4 0.908871 0.847842 0.733854 0.754515 0.70761 0.694161 0.665129 \n", " 5 0.911939 0.805513 0.706959 0.715443 0.694115 0.655085 0.620101 \n", " 6 0.949423 0.880333 0.770339 0.803026 0.807909 0.832616 0.865831 \n", " 7 0.945601 0.858206 0.785776 0.820313 0.787168 0.77364 0.741293 \n", " 8 0.909279 0.817226 0.748207 0.783714 0.731457 0.726249 0.699571 \n", " 9 0.887237 0.775928 0.694173 0.708658 0.716125 0.64627 0.618925 \n", " 10 0.93792 0.857847 0.749905 0.753528 0.677904 0.639733 0.59678 \n", " 11 0.938505 0.960136 0.906595 0.915279 0.81061 0.729135 0.680073 \n", " 12 0.932589 0.879016 0.878047 0.791888 0.729862 0.676284 0.625778 \n", " 13 0.934522 0.876308 0.806423 0.816124 0.792167 0.727918 0.670007 \n", " 14 0.924413 0.799176 0.74392 0.83196 0.755738 0.640559 0.585686 \n", " 15 0.990985 0.889199 0.979944 0.906859 0.827127 0.773722 0.714382 \n", " 16 0.846684 0.681318 0.587396 0.587639 0.542422 0.499169 0.463121 \n", " 17 0.884806 0.711514 0.630177 0.644282 0.656972 0.622635 0.583039 \n", " 18 0.7734 0.568828 0.471532 0.461762 0.406323 0.377219 0.357617 \n", " 19 0.76902 0.589562 0.490168 0.492852 0.445331 0.413408 0.372408 \n", " 20 0.953264 0.888138 0.701112 0.67846 0.59056 0.500828 0.439228 \n", " 21 0.800025 0.631814 0.504996 0.444831 0.379897 0.350252 0.322964 \n", " 22 0.800614 0.73827 0.669342 0.761774 0.734518 0.798497 0.83078 \n", " 23 2.10228 1.77092 1.31699 1.37442 1.30814 1.21726 1.12417 \n", " \n", " 7 8 9 10 11 \n", " 0 0.751489 0.719113 0.707234 0.697947 0.66794 \n", " 1 0.644598 0.608953 0.609165 0.593987 0.581458 \n", " 2 0.714019 0.664967 0.648156 0.634319 0.631167 \n", " 3 0.671359 0.62683 0.600636 0.595714 0.577418 \n", " 4 0.634301 0.579511 0.551169 0.520831 0.508889 \n", " 5 0.591009 0.545779 0.524492 0.504627 0.473906 \n", " 6 0.857096 0.820663 0.873384 0.806318 0.74307 \n", " 7 0.727094 0.668747 0.639814 0.615274 0.614088 \n", " 8 0.665291 0.627115 0.610219 0.581737 0.549622 \n", " 9 0.598116 0.57321 0.533078 0.510376 0.497305 \n", " 10 0.587496 0.555848 0.531248 0.515846 0.499028 \n", " 11 0.645622 0.575722 0.55704 0.543157 0.504923 \n", " 12 0.61676 0.580201 0.54428 0.523717 0.50092 \n", " 13 0.597982 0.569943 0.563028 0.540126 0.505968 \n", " 14 0.542473 0.516784 0.495211 0.471902 0.445067 \n", " 15 0.683923 0.647425 0.607959 0.583165 0.548863 \n", " 16 0.432551 0.40608 0.385923 0.357415 0.334335 \n", " 17 0.564668 0.530913 0.503879 0.489708 0.474838 \n", " 18 0.338976 0.322541 0.301164 0.289545 0.27012 \n", " 19 0.355313 0.335184 0.312536 0.284973 0.250185 \n", " 20 0.403185 0.396681 0.379399 0.360547 0.321347 \n", " 21 0.310018 0.283368 0.267481 0.246777 0.231273 \n", " 22 0.810424 0.756619 0.695438 0.62352 0.558568 \n", " 23 1.06929 1.00293 0.957994 0.890938 0.827385 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.981755 0.969432 1.22197 1.63344 0.862748 0.837805 0.795337 \n", " 1 0.955775 0.923426 0.875576 0.790891 0.766566 0.744393 0.693018 \n", " 2 0.999839 0.956779 0.900555 1.13668 0.913551 0.824518 0.780005 \n", " 3 0.918149 0.859879 0.784452 0.72131 0.771409 0.741845 0.704579 \n", " 4 0.918219 0.834543 0.778505 0.673839 0.69281 0.649741 0.637392 \n", " 5 0.860567 0.784784 0.693197 0.608385 0.615686 0.597332 0.563744 \n", " 6 0.926321 0.879471 0.815471 0.713581 0.74386 0.748383 0.77127 \n", " 7 0.929678 0.879104 0.797855 0.730518 0.762626 0.731812 0.719236 \n", " 8 0.89102 0.810186 0.728165 0.666667 0.698305 0.651743 0.647102 \n", " 9 0.962471 0.853939 0.746808 0.668121 0.682063 0.689249 0.622016 \n", " 10 0.890312 0.835042 0.763752 0.667649 0.670875 0.603546 0.569562 \n", " 11 0.919598 0.863047 0.88294 0.833703 0.841689 0.745436 0.670511 \n", " 12 0.918329 0.856423 0.807225 0.806336 0.727214 0.670253 0.621051 \n", " 13 0.902174 0.843101 0.790582 0.727534 0.736286 0.714673 0.656709 \n", " 14 0.867042 0.801504 0.692919 0.64501 0.721344 0.655256 0.555392 \n", " 15 0.91176 0.903541 0.810736 0.893474 0.826838 0.754142 0.705449 \n", " 16 0.849733 0.719455 0.578938 0.499129 0.499336 0.460914 0.42416 \n", " 17 0.847885 0.750214 0.603282 0.534318 0.546278 0.557037 0.527923 \n", " 18 0.771213 0.596456 0.438688 0.363651 0.356116 0.313362 0.290916 \n", " 19 0.829373 0.637805 0.488967 0.406533 0.408758 0.369346 0.34287 \n", " 20 0.934093 0.890437 0.829604 0.654903 0.633745 0.551638 0.46782 \n", " 21 1.08048 0.864408 0.682659 0.545635 0.480629 0.41047 0.378439 \n", " 22 1.22994 0.984709 0.90803 0.823253 0.936938 0.903415 0.982106 \n", " \n", " 7 8 9 10 11 \n", " 0 0.751364 0.737779 0.705993 0.694331 0.685213 \n", " 1 0.657235 0.616091 0.582023 0.582225 0.567718 \n", " 2 0.742033 0.713904 0.66486 0.648052 0.634217 \n", " 3 0.672845 0.616408 0.575523 0.551474 0.546955 \n", " 4 0.610734 0.582427 0.532119 0.506094 0.478238 \n", " 5 0.533638 0.508603 0.469679 0.451361 0.434265 \n", " 6 0.802037 0.793946 0.760198 0.809034 0.74691 \n", " 7 0.689163 0.675963 0.621719 0.594821 0.572007 \n", " 8 0.623332 0.592788 0.558772 0.543718 0.51834 \n", " 9 0.595697 0.575669 0.551698 0.513072 0.491222 \n", " 10 0.53132 0.523055 0.494878 0.472977 0.459264 \n", " 11 0.625394 0.593713 0.529433 0.512253 0.499486 \n", " 12 0.57467 0.566388 0.532815 0.499828 0.480944 \n", " 13 0.604463 0.539483 0.514188 0.507949 0.487287 \n", " 14 0.507814 0.470347 0.448073 0.429368 0.409158 \n", " 15 0.651345 0.623574 0.590297 0.554313 0.531707 \n", " 16 0.393529 0.367553 0.34506 0.327931 0.303707 \n", " 17 0.49435 0.478774 0.450153 0.427232 0.415216 \n", " 18 0.275799 0.261422 0.248748 0.232261 0.223301 \n", " 19 0.308866 0.294687 0.277993 0.259209 0.236349 \n", " 20 0.410279 0.376612 0.370537 0.354394 0.336784 \n", " 21 0.348955 0.334967 0.306172 0.289007 0.266637 \n", " 22 1.02181 0.996775 0.930597 0.855349 0.766893 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.958261 0.940778 0.928969 1.17096 1.56526 0.826738 0.802836 \n", " 1 0.92429 0.883414 0.853514 0.809287 0.731013 0.70853 0.688035 \n", " 2 0.957093 0.95694 0.915727 0.861916 1.08791 0.874354 0.789141 \n", " 3 0.930549 0.854383 0.80016 0.729972 0.671214 0.717834 0.690323 \n", " 4 0.921825 0.846437 0.769303 0.717645 0.621161 0.63865 0.598947 \n", " 5 1.11256 0.95743 0.873117 0.771222 0.676864 0.684986 0.664566 \n", " 6 0.963311 0.892336 0.847204 0.785553 0.687401 0.716569 0.720926 \n", " 7 0.922342 0.857481 0.810835 0.735895 0.673787 0.703402 0.674981 \n", " 8 0.920123 0.819848 0.745471 0.670001 0.613416 0.642527 0.599683 \n", " 9 0.933809 0.898764 0.797416 0.697376 0.623898 0.636917 0.643627 \n", " 10 0.85292 0.759365 0.712224 0.651419 0.569451 0.572203 0.514776 \n", " 11 0.811173 0.745953 0.700081 0.716217 0.676277 0.682756 0.604677 \n", " 12 0.882976 0.810862 0.756201 0.712761 0.711975 0.642113 0.591818 \n", " 13 0.949126 0.856277 0.80021 0.750363 0.690522 0.698828 0.678315 \n", " 14 0.879775 0.762802 0.705143 0.609613 0.567463 0.63462 0.576478 \n", " 15 0.87022 0.793432 0.786279 0.705519 0.777519 0.719531 0.656269 \n", " 16 0.868144 0.73769 0.624591 0.502602 0.433316 0.433496 0.400139 \n", " 17 0.835826 0.708684 0.627048 0.504239 0.446596 0.456593 0.465586 \n", " 18 0.825783 0.636855 0.492544 0.362261 0.300297 0.294075 0.258769 \n", " 19 0.930634 0.771843 0.593563 0.455049 0.378333 0.380404 0.343726 \n", " 20 0.975972 0.911649 0.869042 0.80967 0.639168 0.618518 0.538383 \n", " 21 3.15637 3.41038 2.72839 2.15473 1.72223 1.51705 1.2956 \n", " \n", " 7 8 9 10 11 \n", " 0 0.76214 0.720003 0.706984 0.676525 0.66535 \n", " 1 0.64055 0.607476 0.569447 0.537958 0.538145 \n", " 2 0.746538 0.710195 0.683273 0.636333 0.620246 \n", " 3 0.655646 0.626115 0.573598 0.535553 0.513174 \n", " 4 0.587564 0.56299 0.536896 0.49052 0.46653 \n", " 5 0.627197 0.593703 0.56585 0.522545 0.502164 \n", " 6 0.742973 0.772611 0.764817 0.732307 0.779352 \n", " 7 0.663381 0.635644 0.623469 0.573437 0.548628 \n", " 8 0.595413 0.573542 0.545437 0.514139 0.500287 \n", " 9 0.580844 0.556267 0.537565 0.515181 0.479111 \n", " 10 0.485791 0.453174 0.446124 0.422092 0.403411 \n", " 11 0.543901 0.507303 0.481604 0.429462 0.415526 \n", " 12 0.548373 0.50742 0.500107 0.470463 0.441336 \n", " 13 0.6233 0.573712 0.512038 0.488029 0.482108 \n", " 14 0.488619 0.446762 0.413799 0.394203 0.377747 \n", " 15 0.613896 0.566813 0.542646 0.513688 0.482374 \n", " 16 0.368232 0.34164 0.319089 0.299561 0.284692 \n", " 17 0.441251 0.41319 0.400171 0.37625 0.357091 \n", " 18 0.240234 0.22775 0.215878 0.205412 0.191797 \n", " 19 0.319086 0.287441 0.274246 0.25871 0.241229 \n", " 20 0.456579 0.400421 0.367563 0.361634 0.345879 \n", " 21 1.19449 1.10143 1.05728 0.966394 0.912213 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.95111 0.911411 0.894783 0.883551 1.11371 1.48873 0.786319 \n", " 1 0.96648 0.893308 0.853802 0.824904 0.782159 0.70651 0.68478 \n", " 2 0.946477 0.905867 0.905722 0.866715 0.815784 1.02968 0.827556 \n", " 3 0.961766 0.894971 0.821717 0.769567 0.702062 0.645551 0.690388 \n", " 4 0.992244 0.914675 0.839872 0.763335 0.712079 0.616343 0.633696 \n", " 5 0.95836 1.06623 0.917562 0.836761 0.739108 0.648679 0.656463 \n", " 6 0.967661 0.932159 0.863479 0.819806 0.760149 0.665171 0.693396 \n", " 7 0.945138 0.871741 0.810438 0.766351 0.695522 0.636822 0.664812 \n", " 8 0.892276 0.821004 0.731531 0.665166 0.597826 0.547336 0.573311 \n", " 9 0.918274 0.857493 0.825312 0.732247 0.640383 0.57291 0.584864 \n", " 10 0.961193 0.819821 0.729896 0.684584 0.62614 0.547353 0.549997 \n", " 11 0.899299 0.729487 0.670835 0.629582 0.644093 0.608175 0.614001 \n", " 12 0.881075 0.777968 0.714431 0.66627 0.627996 0.627304 0.565749 \n", " 13 0.967828 0.918591 0.828729 0.774466 0.726222 0.668307 0.676346 \n", " 14 0.925464 0.8142 0.705945 0.652585 0.564174 0.525167 0.587318 \n", " 15 0.868192 0.755518 0.688851 0.682642 0.612526 0.675036 0.624691 \n", " 16 0.899462 0.780862 0.663524 0.561795 0.452071 0.389751 0.389913 \n", " 17 0.821352 0.686507 0.582079 0.515027 0.414158 0.366813 0.375023 \n", " 18 0.980665 0.809817 0.624541 0.48302 0.355257 0.294491 0.288389 \n", " 19 1.08581 1.01049 0.838073 0.644495 0.494096 0.410797 0.413046 \n", " 20 2.18415 2.13167 1.99118 1.89812 1.76844 1.39604 1.35094 \n", " \n", " 7 8 9 10 11 \n", " 0 0.763585 0.724879 0.684801 0.67242 0.64345 \n", " 1 0.664972 0.619079 0.587113 0.550359 0.519926 \n", " 2 0.746904 0.706581 0.672183 0.646702 0.602275 \n", " 3 0.663929 0.630578 0.602176 0.551667 0.515076 \n", " 4 0.594302 0.583007 0.558623 0.532732 0.486715 \n", " 5 0.636894 0.601081 0.568981 0.542288 0.500786 \n", " 6 0.697612 0.718946 0.747626 0.740084 0.708625 \n", " 7 0.637951 0.626987 0.600772 0.589264 0.541978 \n", " 8 0.535083 0.531273 0.511758 0.486681 0.458754 \n", " 9 0.591027 0.533374 0.510806 0.493632 0.473077 \n", " 10 0.494799 0.466939 0.435587 0.428811 0.405712 \n", " 11 0.543786 0.489129 0.456217 0.433106 0.386215 \n", " 12 0.521436 0.483158 0.447075 0.440632 0.414513 \n", " 13 0.656492 0.603247 0.555255 0.495565 0.472329 \n", " 14 0.53351 0.4522 0.413462 0.382956 0.364821 \n", " 15 0.569768 0.53298 0.492103 0.471121 0.44598 \n", " 16 0.35991 0.331211 0.307292 0.287008 0.269444 \n", " 17 0.38241 0.362423 0.339375 0.328681 0.309033 \n", " 18 0.253765 0.235589 0.223346 0.211704 0.20144 \n", " 19 0.37322 0.346466 0.312105 0.297778 0.280909 \n", " 20 1.17591 0.997238 0.874581 0.802814 0.789863 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.953616 0.906994 0.869137 0.85328 0.842569 1.06206 1.41968 \n", " 1 0.936575 0.905181 0.83665 0.79965 0.772585 0.732551 0.6617 \n", " 2 0.900361 0.852171 0.815608 0.815477 0.780356 0.7345 0.927083 \n", " 3 0.906883 0.872209 0.811634 0.745201 0.697907 0.636688 0.585439 \n", " 4 0.927657 0.920462 0.848504 0.779113 0.708114 0.660565 0.571755 \n", " 5 0.918213 0.879978 0.979026 0.842517 0.768324 0.678658 0.595625 \n", " 6 0.941099 0.910665 0.877254 0.812619 0.771519 0.715375 0.625992 \n", " 7 0.91892 0.868507 0.80106 0.744728 0.704215 0.639129 0.585189 \n", " 8 0.891592 0.795546 0.732 0.652227 0.593056 0.533017 0.488001 \n", " 9 0.888314 0.815716 0.761723 0.733137 0.650466 0.568861 0.508924 \n", " 10 0.956454 0.919337 0.784121 0.698112 0.654773 0.598874 0.523518 \n", " 11 0.883082 0.794154 0.644197 0.592402 0.555972 0.568787 0.537069 \n", " 12 0.830121 0.731398 0.645808 0.593063 0.553084 0.521312 0.520738 \n", " 13 0.878777 0.850505 0.807237 0.728268 0.680583 0.638187 0.587292 \n", " 14 0.929354 0.860083 0.75668 0.656073 0.606482 0.524318 0.488066 \n", " 15 0.767908 0.666692 0.580168 0.528974 0.524206 0.470364 0.518365 \n", " 16 0.86856 0.781237 0.678226 0.576311 0.487953 0.392651 0.338522 \n", " 17 0.796192 0.653953 0.546591 0.463446 0.41006 0.329749 0.292053 \n", " 18 1.13347 1.11156 0.917905 0.7079 0.54749 0.402674 0.333797 \n", " 19 1.57048 1.70524 1.58696 1.31618 1.01217 0.775969 0.64515 \n", " \n", " 7 8 9 10 11 \n", " 0 0.749846 0.728167 0.691257 0.653038 0.641231 \n", " 1 0.641348 0.622796 0.579814 0.549875 0.515453 \n", " 2 0.7451 0.672483 0.636178 0.605208 0.582266 \n", " 3 0.626101 0.602106 0.57186 0.546104 0.500297 \n", " 4 0.587853 0.551308 0.54083 0.518211 0.494192 \n", " 5 0.602773 0.584804 0.55192 0.522446 0.497936 \n", " 6 0.652554 0.656522 0.676599 0.70359 0.696492 \n", " 7 0.610909 0.586226 0.576151 0.552061 0.541487 \n", " 8 0.51116 0.477076 0.473679 0.456279 0.433921 \n", " 9 0.519543 0.525017 0.473804 0.453756 0.438501 \n", " 10 0.526047 0.473253 0.446605 0.416619 0.410138 \n", " 11 0.542213 0.480207 0.431941 0.402877 0.382468 \n", " 12 0.46964 0.432855 0.401079 0.371126 0.365778 \n", " 13 0.594357 0.57691 0.53012 0.487945 0.435491 \n", " 14 0.545826 0.495819 0.420254 0.384253 0.355902 \n", " 15 0.479705 0.437529 0.409279 0.37789 0.361778 \n", " 16 0.338663 0.312604 0.287677 0.266902 0.249284 \n", " 17 0.29859 0.304471 0.288558 0.270207 0.261693 \n", " 18 0.326881 0.287636 0.267033 0.253157 0.239961 \n", " 19 0.648682 0.586136 0.54412 0.490156 0.467655 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.96545 0.920669 0.875657 0.839108 0.823799 0.813458 1.02536 \n", " 1 0.970226 0.908689 0.87823 0.811739 0.775841 0.749581 0.71074 \n", " 2 0.914766 0.82362 0.779538 0.746091 0.745971 0.713844 0.671896 \n", " 3 0.92129 0.835503 0.803558 0.74775 0.686546 0.642975 0.586574 \n", " 4 0.923262 0.856471 0.849828 0.783392 0.719326 0.653775 0.609875 \n", " 5 0.958684 0.880276 0.843621 0.938577 0.807708 0.73658 0.650619 \n", " 6 0.930576 0.875764 0.847443 0.816351 0.756204 0.717957 0.665711 \n", " 7 0.887971 0.815975 0.771209 0.711318 0.661297 0.625323 0.567529 \n", " 8 0.918647 0.819058 0.730826 0.67245 0.599166 0.544809 0.489654 \n", " 9 0.907462 0.806112 0.740232 0.691235 0.665294 0.590273 0.51622 \n", " 10 0.940156 0.899216 0.86432 0.737196 0.656334 0.615589 0.563035 \n", " 11 0.933131 0.824031 0.74105 0.60112 0.552789 0.518795 0.530753 \n", " 12 0.901685 0.748508 0.659491 0.582315 0.534757 0.498708 0.47006 \n", " 13 0.912534 0.801913 0.776114 0.736631 0.664569 0.621054 0.582367 \n", " 14 0.962941 0.894913 0.82821 0.728638 0.631759 0.584006 0.504887 \n", " 15 0.850433 0.653054 0.566977 0.493394 0.449857 0.445802 0.400013 \n", " 16 0.931301 0.808891 0.727566 0.631632 0.536719 0.454431 0.365676 \n", " 17 0.751533 0.598364 0.491468 0.410781 0.348295 0.308174 0.247817 \n", " 18 2.47365 2.80382 2.74961 2.27058 1.7511 1.3543 0.996076 \n", " \n", " 7 8 9 10 11 \n", " 0 1.37063 0.723939 0.703009 0.667374 0.630475 \n", " 1 0.641998 0.622252 0.604253 0.56255 0.533503 \n", " 2 0.848064 0.681592 0.615165 0.581954 0.553624 \n", " 3 0.539359 0.576821 0.554715 0.526849 0.50312 \n", " 4 0.52788 0.542742 0.509002 0.499328 0.478444 \n", " 5 0.571017 0.577869 0.560642 0.529117 0.50086 \n", " 6 0.582533 0.607251 0.610944 0.629627 0.654744 \n", " 7 0.519631 0.54247 0.520552 0.511606 0.490214 \n", " 8 0.4483 0.469575 0.438264 0.435144 0.41916 \n", " 9 0.461829 0.471466 0.476434 0.429959 0.411767 \n", " 10 0.492188 0.494566 0.444931 0.419879 0.391687 \n", " 11 0.501155 0.505956 0.448096 0.403058 0.375937 \n", " 12 0.469541 0.423468 0.390299 0.361647 0.334639 \n", " 13 0.535924 0.542371 0.52645 0.483752 0.445266 \n", " 14 0.469978 0.525598 0.477445 0.404679 0.370013 \n", " 15 0.440835 0.407957 0.372089 0.348065 0.32137 \n", " 16 0.315266 0.315397 0.291128 0.267913 0.248566 \n", " 17 0.219488 0.224401 0.22882 0.216861 0.20307 \n", " 18 0.825699 0.808591 0.711512 0.660548 0.626223 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.937762 0.905362 0.863368 0.821158 0.786884 0.772527 0.76283 \n", " 1 0.926625 0.899035 0.842014 0.81379 0.752178 0.718913 0.694581 \n", " 2 0.907767 0.830395 0.747655 0.707639 0.677277 0.677168 0.648004 \n", " 3 0.920136 0.847712 0.768776 0.739382 0.688032 0.631716 0.591624 \n", " 4 0.895947 0.827194 0.767353 0.761401 0.701878 0.644478 0.585747 \n", " 5 0.967623 0.927645 0.851776 0.816307 0.908189 0.781557 0.712732 \n", " 6 0.938846 0.873668 0.822208 0.795619 0.766429 0.709959 0.674051 \n", " 7 0.902801 0.801661 0.736662 0.696248 0.642179 0.597019 0.564542 \n", " 8 0.875465 0.804244 0.717057 0.639813 0.588706 0.524549 0.476962 \n", " 9 0.863155 0.78328 0.695799 0.638935 0.596643 0.574251 0.509497 \n", " 10 0.959445 0.902028 0.862748 0.829267 0.707299 0.629717 0.590624 \n", " 11 0.962313 0.897964 0.792976 0.713122 0.578466 0.531956 0.499243 \n", " 12 0.910584 0.821061 0.681579 0.600522 0.530247 0.486941 0.454116 \n", " 13 0.921487 0.840888 0.738953 0.715179 0.678795 0.612392 0.572293 \n", " 14 0.943324 0.908365 0.844193 0.78127 0.687342 0.595954 0.550907 \n", " 15 0.840928 0.715153 0.549172 0.476787 0.414909 0.378298 0.374887 \n", " 16 0.974472 0.907527 0.788242 0.708993 0.615508 0.523018 0.442831 \n", " 17 1.62797 1.22347 0.97412 0.800095 0.66874 0.567015 0.501698 \n", " \n", " 7 8 9 10 11 \n", " 0 0.961545 1.28533 0.678883 0.659255 0.625838 \n", " 1 0.658589 0.594891 0.576594 0.559916 0.521273 \n", " 2 0.609925 0.769845 0.618727 0.558427 0.528279 \n", " 3 0.539728 0.496284 0.530754 0.510413 0.484773 \n", " 4 0.546416 0.472953 0.486268 0.456039 0.447372 \n", " 5 0.629554 0.552529 0.559159 0.54249 0.511986 \n", " 6 0.625001 0.546909 0.570115 0.573582 0.591123 \n", " 7 0.512365 0.469123 0.489742 0.469954 0.461878 \n", " 8 0.428675 0.392471 0.411097 0.383685 0.380953 \n", " 9 0.445578 0.39863 0.406948 0.411236 0.371121 \n", " 10 0.540201 0.472227 0.474509 0.426887 0.40285 \n", " 11 0.51075 0.482268 0.486888 0.431209 0.387868 \n", " 12 0.428029 0.427557 0.385603 0.3554 0.32931 \n", " 13 0.536644 0.493847 0.499787 0.485117 0.445771 \n", " 14 0.476272 0.443342 0.49581 0.450385 0.381744 \n", " 15 0.336382 0.37071 0.343063 0.3129 0.292697 \n", " 16 0.356341 0.307218 0.307345 0.283696 0.261074 \n", " 17 0.403439 0.35732 0.365318 0.372513 0.353043 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.939886 0.881389 0.850937 0.811468 0.771795 0.739581 0.726087 \n", " 1 0.900704 0.834615 0.809765 0.758405 0.732984 0.67749 0.647528 \n", " 2 0.90503 0.821557 0.751532 0.676651 0.640435 0.612956 0.612857 \n", " 3 0.955181 0.878896 0.809718 0.73432 0.706243 0.657194 0.603403 \n", " 4 0.978965 0.877101 0.809794 0.751211 0.745385 0.687114 0.630921 \n", " 5 0.985777 0.953861 0.914451 0.839661 0.804697 0.895272 0.770441 \n", " 6 0.948157 0.890174 0.828375 0.779582 0.754372 0.726695 0.673153 \n", " 7 0.903779 0.815932 0.724524 0.66578 0.629254 0.580387 0.539573 \n", " 8 0.918975 0.804531 0.73908 0.658957 0.587972 0.541006 0.482048 \n", " 9 0.857064 0.739779 0.671321 0.596344 0.547608 0.511361 0.49217 \n", " 10 0.942231 0.904018 0.849918 0.812908 0.781361 0.666439 0.593338 \n", " 11 1.04383 1.00449 0.937318 0.827729 0.744376 0.603817 0.555269 \n", " 12 0.927439 0.844512 0.761484 0.632123 0.556948 0.491772 0.451608 \n", " 13 0.893328 0.82319 0.751189 0.660127 0.63889 0.606387 0.547067 \n", " 14 0.985594 0.929735 0.89528 0.832032 0.770015 0.67744 0.587369 \n", " 15 0.76817 0.645975 0.549359 0.421857 0.366253 0.318721 0.290597 \n", " 16 1.83034 1.78361 1.66108 1.44275 1.2977 1.12659 0.957299 \n", " \n", " 7 8 9 10 11 \n", " 0 0.716973 0.903743 1.20806 0.638072 0.619625 \n", " 1 0.625612 0.593194 0.535821 0.519341 0.504318 \n", " 2 0.586463 0.552001 0.696733 0.559966 0.505393 \n", " 3 0.565108 0.515538 0.474041 0.506965 0.487536 \n", " 4 0.573426 0.534922 0.463004 0.47604 0.446446 \n", " 5 0.702595 0.6206 0.54467 0.551206 0.534775 \n", " 6 0.639106 0.592599 0.518556 0.540559 0.543846 \n", " 7 0.510221 0.463065 0.423983 0.442619 0.424735 \n", " 8 0.438316 0.393942 0.360671 0.377788 0.352597 \n", " 9 0.436671 0.381889 0.341651 0.348781 0.352455 \n", " 10 0.556504 0.508994 0.444947 0.447097 0.402226 \n", " 11 0.521123 0.533134 0.503404 0.508227 0.450107 \n", " 12 0.421165 0.396971 0.396533 0.357623 0.329612 \n", " 13 0.511246 0.479399 0.441167 0.446474 0.433368 \n", " 14 0.542971 0.469411 0.436955 0.488667 0.443897 \n", " 15 0.287977 0.258398 0.284769 0.26353 0.240361 \n", " 16 0.810529 0.652225 0.562313 0.562546 0.51926 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.935947 0.879683 0.824934 0.796432 0.759491 0.722359 0.692209 \n", " 1 0.969651 0.873368 0.809285 0.785189 0.735388 0.710738 0.656928 \n", " 2 0.951293 0.860948 0.781541 0.714927 0.643693 0.609241 0.5831 \n", " 3 0.855642 0.817292 0.75202 0.692829 0.628315 0.604291 0.562323 \n", " 4 0.911128 0.891962 0.799151 0.737826 0.684449 0.67914 0.626048 \n", " 5 0.914941 0.901928 0.872727 0.836669 0.768241 0.736251 0.819121 \n", " 6 0.925034 0.877078 0.823441 0.766275 0.72114 0.69782 0.672217 \n", " 7 0.919703 0.831208 0.750415 0.666347 0.612319 0.578727 0.533784 \n", " 8 0.985914 0.90603 0.793198 0.728669 0.649675 0.57969 0.533386 \n", " 9 0.842758 0.722298 0.623454 0.565761 0.502574 0.461501 0.430954 \n", " 10 0.935991 0.881919 0.846153 0.795516 0.760874 0.731347 0.62378 \n", " 11 0.963094 1.0053 0.967416 0.902726 0.797181 0.716904 0.581533 \n", " 12 0.926899 0.859643 0.782777 0.705819 0.585915 0.516235 0.455823 \n", " 13 0.919384 0.821312 0.756828 0.690631 0.606911 0.587385 0.557503 \n", " 14 0.931031 0.917619 0.865612 0.833533 0.774647 0.716908 0.630718 \n", " 15 2.56933 1.97368 1.65972 1.41148 1.08389 0.941025 0.818898 \n", " \n", " 7 8 9 10 11 \n", " 0 0.679579 0.671049 0.845856 1.13068 0.597202 \n", " 1 0.627876 0.606625 0.575191 0.519559 0.503579 \n", " 2 0.583006 0.557898 0.525114 0.662797 0.532692 \n", " 3 0.516296 0.48353 0.441116 0.405609 0.433781 \n", " 4 0.57485 0.522464 0.487382 0.421856 0.433733 \n", " 5 0.704908 0.642834 0.567813 0.498341 0.504322 \n", " 6 0.622689 0.591195 0.548174 0.479682 0.500036 \n", " 7 0.496247 0.469252 0.425882 0.389939 0.407078 \n", " 8 0.475258 0.432142 0.388393 0.355591 0.372466 \n", " 9 0.41478 0.368008 0.32184 0.287929 0.293938 \n", " 10 0.555359 0.520882 0.476413 0.416467 0.418479 \n", " 11 0.534777 0.50189 0.513459 0.484826 0.48947 \n", " 12 0.418596 0.390377 0.367952 0.367546 0.331481 \n", " 13 0.502965 0.470032 0.440752 0.405602 0.410481 \n", " 14 0.546859 0.505523 0.437036 0.406819 0.454964 \n", " 15 0.746639 0.739908 0.663911 0.731664 0.677096 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.558917 0.523117 0.49167 0.46107 0.44514 0.424492 0.403739 \n", " 1 0.959053 0.929946 0.837606 0.776147 0.753037 0.705276 0.681635 \n", " 2 1.07457 1.02223 0.925153 0.839823 0.768242 0.691695 0.654674 \n", " 3 0.980326 0.838808 0.801213 0.737225 0.679198 0.615953 0.592403 \n", " 4 0.948639 0.864331 0.84615 0.758106 0.69993 0.649295 0.644259 \n", " 5 0.98862 0.90453 0.891665 0.862796 0.827148 0.759498 0.727873 \n", " 6 1.00877 0.933145 0.884768 0.830662 0.772994 0.727464 0.703938 \n", " 7 1.10817 1.01919 0.921118 0.831586 0.738425 0.678553 0.641327 \n", " 8 1.11401 1.09831 1.00932 0.883627 0.811741 0.723742 0.645778 \n", " 9 0.970055 0.817521 0.700668 0.604785 0.54882 0.487524 0.447681 \n", " 10 1.07349 1.00478 0.946736 0.908341 0.853982 0.816794 0.785097 \n", " 11 0.996239 0.959472 1.00152 0.963778 0.899331 0.794183 0.714207 \n", " 12 0.9894 0.917075 0.850531 0.77448 0.698338 0.579704 0.510763 \n", " 13 0.859319 0.790045 0.705769 0.650357 0.593473 0.52153 0.504752 \n", " 14 1.30172 1.21194 1.19448 1.12678 1.08503 1.00837 0.933213 \n", " \n", " 7 8 9 10 11 \n", " 0 0.386887 0.379829 0.375061 0.472763 0.631957 \n", " 1 0.630029 0.602166 0.581785 0.551638 0.498285 \n", " 2 0.626584 0.626483 0.599502 0.564274 0.712224 \n", " 3 0.55126 0.506139 0.474017 0.432437 0.397629 \n", " 4 0.593894 0.545325 0.49563 0.462349 0.400189 \n", " 5 0.8098 0.696887 0.635518 0.561351 0.492671 \n", " 6 0.678112 0.628149 0.596379 0.552981 0.483888 \n", " 7 0.591522 0.549925 0.52001 0.471949 0.432118 \n", " 8 0.594195 0.529439 0.481408 0.432672 0.39613 \n", " 9 0.418049 0.40236 0.356988 0.312202 0.279307 \n", " 10 0.669625 0.596175 0.559165 0.511427 0.447075 \n", " 11 0.579346 0.532765 0.500003 0.511527 0.483002 \n", " 12 0.450992 0.414159 0.38624 0.364052 0.363651 \n", " 13 0.479073 0.432207 0.403907 0.378747 0.348542 \n", " 14 0.821018 0.711857 0.658049 0.568899 0.529564 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.3684 0.764822 0.715833 0.672801 0.630927 0.609129 0.580875 \n", " 1 0.945604 0.906884 0.879361 0.792044 0.733928 0.712075 0.666912 \n", " 2 1.01565 1.0914 1.03824 0.939635 0.85297 0.780268 0.702523 \n", " 3 0.908053 0.890188 0.761682 0.727544 0.669439 0.616748 0.559318 \n", " 4 0.884546 0.839114 0.76454 0.748458 0.670579 0.61912 0.574331 \n", " 5 0.899101 0.88887 0.813264 0.801697 0.775741 0.74369 0.682866 \n", " 6 0.910695 0.918681 0.849811 0.805754 0.75648 0.703962 0.662498 \n", " 7 0.980217 1.08625 0.999024 0.902896 0.815135 0.723817 0.66513 \n", " 8 0.991063 1.10405 1.0885 1.0003 0.87573 0.804487 0.717274 \n", " 9 0.874834 0.848637 0.715195 0.612968 0.529086 0.480126 0.426503 \n", " 10 1.00552 1.07942 1.01032 0.951958 0.913351 0.858692 0.821299 \n", " 11 0.833446 0.830311 0.799668 0.834714 0.803256 0.749543 0.661908 \n", " 12 0.897423 0.887911 0.823004 0.763286 0.695036 0.626704 0.52024 \n", " 13 0.887617 0.762747 0.701257 0.626453 0.577268 0.526777 0.462919 \n", " \n", " 7 8 9 10 11 \n", " 0 0.552476 0.529416 0.519757 0.513233 0.646929 \n", " 1 0.644557 0.595758 0.569411 0.550139 0.521631 \n", " 2 0.664922 0.636393 0.63629 0.608887 0.573107 \n", " 3 0.537933 0.500573 0.459601 0.430433 0.392676 \n", " 4 0.569877 0.525326 0.482365 0.438407 0.408969 \n", " 5 0.654431 0.728092 0.626572 0.571395 0.504712 \n", " 6 0.641073 0.617553 0.572053 0.54312 0.503597 \n", " 7 0.62864 0.579821 0.539046 0.509723 0.462612 \n", " 8 0.640006 0.588884 0.524708 0.477106 0.428805 \n", " 9 0.391647 0.365723 0.351998 0.312305 0.273125 \n", " 10 0.789427 0.673318 0.599463 0.562249 0.514248 \n", " 11 0.595253 0.482853 0.444031 0.416725 0.42633 \n", " 12 0.458371 0.40473 0.371675 0.34662 0.326709 \n", " 13 0.448026 0.425234 0.383635 0.358515 0.336182 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.14295 1.56402 0.874155 0.818163 0.76898 0.72112 0.696205 \n", " 1 0.906514 0.857204 0.822104 0.797153 0.717999 0.665316 0.645507 \n", " 2 0.967431 0.982575 1.05585 1.00442 0.909031 0.825189 0.754855 \n", " 3 0.979328 0.889282 0.871787 0.745937 0.712505 0.655601 0.603999 \n", " 4 0.834236 0.73792 0.70002 0.637807 0.624391 0.559421 0.516492 \n", " 5 0.833297 0.749218 0.740692 0.67769 0.668052 0.646422 0.619715 \n", " 6 0.90201 0.821457 0.82866 0.766538 0.726799 0.682352 0.634981 \n", " 7 0.934797 0.916304 1.01542 0.933884 0.844024 0.761985 0.676621 \n", " 8 0.9978 0.988882 1.10162 1.0861 0.998101 0.873803 0.802716 \n", " 9 0.943122 0.825075 0.800368 0.674517 0.578104 0.498993 0.452817 \n", " 10 0.91819 0.923255 0.991109 0.927669 0.874078 0.83863 0.788443 \n", " 11 0.836539 0.69721 0.694587 0.668953 0.698271 0.671955 0.627022 \n", " 12 1.77355 1.59162 1.57475 1.45964 1.35372 1.23268 1.11149 \n", " \n", " 7 8 9 10 11 \n", " 0 0.663913 0.631454 0.605098 0.594058 0.586601 \n", " 1 0.604566 0.5843 0.540063 0.516179 0.498709 \n", " 2 0.679642 0.643266 0.615666 0.615567 0.589056 \n", " 3 0.547756 0.526813 0.490226 0.4501 0.421535 \n", " 4 0.479128 0.475412 0.438246 0.402406 0.365735 \n", " 5 0.56903 0.545335 0.606717 0.52212 0.476142 \n", " 6 0.59758 0.578255 0.557039 0.515997 0.4899 \n", " 7 0.621761 0.58765 0.542014 0.503898 0.476487 \n", " 8 0.715695 0.638598 0.587588 0.523553 0.476056 \n", " 9 0.402244 0.369371 0.344922 0.331977 0.294542 \n", " 10 0.754109 0.724845 0.618234 0.550422 0.516251 \n", " 11 0.553712 0.497952 0.403925 0.371449 0.348607 \n", " 12 0.92267 0.812941 0.717808 0.659184 0.614747 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.960849 1.0982 1.50278 0.839931 0.786131 0.738873 0.692887 \n", " 1 0.922098 0.835895 0.790426 0.75806 0.735054 0.662066 0.613487 \n", " 2 0.987787 0.955615 0.970574 1.04295 0.992154 0.897929 0.815111 \n", " 3 0.935114 0.915783 0.83158 0.815219 0.697536 0.666273 0.613061 \n", " 4 0.864875 0.72151 0.638208 0.605429 0.551623 0.54002 0.483829 \n", " 5 0.832427 0.693659 0.62367 0.616573 0.564128 0.556104 0.538099 \n", " 6 0.937936 0.846028 0.770474 0.77723 0.718964 0.681691 0.640003 \n", " 7 0.893777 0.8355 0.818971 0.907558 0.834684 0.754369 0.681045 \n", " 8 0.983132 0.980969 0.972202 1.08304 1.06778 0.981265 0.859063 \n", " 9 0.918648 0.866397 0.757954 0.735256 0.619643 0.531074 0.458399 \n", " 10 0.810776 0.744447 0.748553 0.803568 0.752132 0.708682 0.679941 \n", " 11 1.24246 1.03936 0.866252 0.862994 0.831144 0.86757 0.834874 \n", " \n", " 7 8 9 10 11 \n", " 0 0.668948 0.63792 0.606732 0.581407 0.5708 \n", " 1 0.59522 0.557469 0.538782 0.497991 0.475968 \n", " 2 0.745636 0.671342 0.63541 0.608146 0.608049 \n", " 3 0.564807 0.512214 0.49263 0.458417 0.420895 \n", " 4 0.446701 0.414386 0.411172 0.379028 0.348031 \n", " 5 0.515867 0.473676 0.453952 0.505048 0.434627 \n", " 6 0.595572 0.560492 0.542366 0.522467 0.483973 \n", " 7 0.604749 0.555716 0.525228 0.48444 0.450373 \n", " 8 0.789176 0.703623 0.627826 0.577677 0.514722 \n", " 9 0.41598 0.369521 0.339321 0.316862 0.30497 \n", " 10 0.639251 0.611414 0.587687 0.50125 0.446269 \n", " 11 0.779047 0.687962 0.618684 0.501859 0.461509 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.918552 0.88259 1.00876 1.38038 0.77152 0.722102 0.678693 \n", " 1 0.848208 0.782131 0.709013 0.670446 0.642993 0.623478 0.561569 \n", " 2 0.951286 0.939668 0.909063 0.923294 0.992147 0.943822 0.854187 \n", " 3 0.876781 0.81989 0.802941 0.729113 0.714769 0.611586 0.584175 \n", " 4 0.88707 0.767205 0.64003 0.566135 0.537058 0.489328 0.479035 \n", " 5 0.832253 0.69279 0.5773 0.519051 0.513145 0.469497 0.46282 \n", " 6 0.892681 0.837277 0.755233 0.687787 0.693818 0.641805 0.608532 \n", " 7 0.913572 0.816529 0.763289 0.748189 0.82912 0.762544 0.689171 \n", " 8 1.0066 0.989617 0.98744 0.978615 1.09018 1.07483 0.987738 \n", " 9 0.896172 0.823267 0.776441 0.679257 0.658917 0.555307 0.475934 \n", " 10 2.12311 1.72137 1.58054 1.58926 1.70606 1.59686 1.50461 \n", " \n", " 7 8 9 10 11 \n", " 0 0.636453 0.614463 0.585962 0.557315 0.534053 \n", " 1 0.520364 0.504871 0.472849 0.456999 0.4224 \n", " 2 0.775403 0.709313 0.638638 0.604456 0.578521 \n", " 3 0.53752 0.495212 0.4491 0.431929 0.401931 \n", " 4 0.42919 0.396255 0.367589 0.364738 0.336224 \n", " 5 0.447835 0.429332 0.394218 0.377803 0.420328 \n", " 6 0.571318 0.531655 0.50034 0.48416 0.466396 \n", " 7 0.622183 0.552481 0.507686 0.479834 0.442571 \n", " 8 0.86473 0.794382 0.708264 0.631967 0.581488 \n", " 9 0.410804 0.37279 0.331154 0.304091 0.283963 \n", " 10 1.44359 1.3572 1.2981 1.24772 1.06421 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.907989 0.834035 0.801381 0.915941 1.25337 0.700531 0.65566 \n", " 1 0.840171 0.71264 0.657124 0.595692 0.563289 0.540224 0.523828 \n", " 2 1.02893 0.978809 0.966855 0.935365 0.950007 1.02085 0.97113 \n", " 3 0.886163 0.776971 0.726556 0.711537 0.646113 0.633402 0.541965 \n", " 4 1.0049 0.891421 0.770967 0.643169 0.568912 0.539692 0.491728 \n", " 5 0.816915 0.67988 0.565951 0.471605 0.424021 0.419196 0.383539 \n", " 6 0.869051 0.775785 0.727637 0.656336 0.597722 0.602963 0.557761 \n", " 7 0.866543 0.791649 0.707558 0.661423 0.648338 0.718468 0.660777 \n", " 8 0.837634 0.84316 0.828937 0.827113 0.819721 0.913174 0.900311 \n", " 9 1.92552 1.7256 1.58521 1.49505 1.30792 1.26876 1.06925 \n", " \n", " 7 8 9 10 11 \n", " 0 0.616246 0.577892 0.557926 0.532047 0.506035 \n", " 1 0.471814 0.437195 0.424178 0.397274 0.383958 \n", " 2 0.878902 0.797838 0.729836 0.657116 0.621945 \n", " 3 0.517675 0.476331 0.438839 0.397976 0.382759 \n", " 4 0.481385 0.431295 0.398199 0.369392 0.366527 \n", " 5 0.378084 0.365843 0.350728 0.322043 0.308633 \n", " 6 0.528845 0.496505 0.462035 0.434821 0.420759 \n", " 7 0.597196 0.539149 0.478749 0.439932 0.415796 \n", " 8 0.827363 0.724328 0.665402 0.593266 0.529358 \n", " 9 0.916419 0.791011 0.717813 0.637643 0.585532 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.858541 0.779545 0.716053 0.688019 0.786372 1.07607 0.601435 \n", " 1 0.926784 0.778657 0.660463 0.609012 0.552078 0.522047 0.500671 \n", " 2 0.948515 0.975958 0.928415 0.917077 0.887208 0.901096 0.968294 \n", " 3 0.905747 0.80264 0.703739 0.658076 0.644472 0.585215 0.573702 \n", " 4 1.11388 1.11934 0.992936 0.858766 0.716413 0.6337 0.601153 \n", " 5 1.0431 0.852122 0.709181 0.590342 0.49193 0.442295 0.437262 \n", " 6 0.962371 0.836349 0.746593 0.700256 0.631638 0.57523 0.580274 \n", " 7 0.74296 0.643807 0.588164 0.525687 0.49141 0.481689 0.533793 \n", " 8 2.17469 1.82159 1.83361 1.80268 1.79871 1.78264 1.98587 \n", " \n", " 7 8 9 10 11 \n", " 0 0.562911 0.529072 0.496144 0.479002 0.456784 \n", " 1 0.485476 0.43727 0.405185 0.393121 0.368187 \n", " 2 0.921131 0.833651 0.756761 0.69226 0.623284 \n", " 3 0.490883 0.468882 0.431435 0.397477 0.360465 \n", " 4 0.547727 0.536205 0.480412 0.443546 0.411459 \n", " 5 0.400069 0.394379 0.38161 0.365843 0.335922 \n", " 6 0.536773 0.508945 0.477821 0.444649 0.418459 \n", " 7 0.490931 0.443693 0.400566 0.355691 0.326852 \n", " 8 1.9579 1.79926 1.57519 1.44704 1.29017 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.922419 0.791935 0.719068 0.660501 0.634642 0.725365 0.992589 \n", " 1 0.923768 0.856133 0.719298 0.610114 0.562585 0.509992 0.48225 \n", " 2 0.991125 0.940096 0.967296 0.920175 0.908937 0.879334 0.893099 \n", " 3 0.940944 0.852257 0.755238 0.662179 0.619212 0.606412 0.550654 \n", " 4 1.00999 1.125 1.13052 1.00285 0.867341 0.723567 0.640028 \n", " 5 1.02121 1.06523 0.870199 0.724226 0.602866 0.502366 0.451678 \n", " 6 0.840157 0.808542 0.702665 0.627255 0.588325 0.530675 0.483284 \n", " 7 1.61278 1.19823 1.03832 0.948578 0.847817 0.792537 0.776858 \n", " \n", " 7 8 9 10 11 \n", " 0 0.554775 0.51924 0.488026 0.457653 0.441841 \n", " 1 0.462503 0.448467 0.403936 0.374297 0.363153 \n", " 2 0.9597 0.912956 0.826252 0.750045 0.686116 \n", " 3 0.539821 0.461893 0.441192 0.405956 0.374003 \n", " 4 0.607156 0.553196 0.54156 0.485209 0.447975 \n", " 5 0.446538 0.408556 0.402745 0.389706 0.373605 \n", " 6 0.487521 0.450974 0.427594 0.401445 0.373575 \n", " 7 0.86089 0.791763 0.715578 0.646024 0.573651 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.92133 0.849852 0.729633 0.662499 0.608539 0.584714 0.668301 \n", " 1 0.896338 0.828008 0.767385 0.644734 0.546869 0.504267 0.457125 \n", " 2 0.972412 0.963781 0.914161 0.940611 0.89479 0.883861 0.855074 \n", " 3 0.981793 0.923812 0.83674 0.741488 0.650123 0.607939 0.595371 \n", " 4 0.993341 1.00326 1.11751 1.12299 0.996173 0.861565 0.718749 \n", " 5 0.991473 1.01251 1.05614 0.862779 0.718051 0.597725 0.498082 \n", " 6 1.4172 1.19067 1.14587 0.995817 0.888947 0.833775 0.752074 \n", " \n", " 7 8 9 10 11 \n", " 0 0.914502 0.511131 0.478392 0.449633 0.421649 \n", " 1 0.432259 0.414559 0.401978 0.362063 0.335497 \n", " 2 0.86846 0.933224 0.887769 0.803458 0.729353 \n", " 3 0.540629 0.529993 0.453484 0.433159 0.398565 \n", " 4 0.635766 0.603113 0.549513 0.537954 0.481978 \n", " 5 0.447827 0.442731 0.405072 0.399311 0.386383 \n", " 6 0.68491 0.690916 0.639121 0.605987 0.568928 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.869269 0.800884 0.73875 0.634247 0.575889 0.528984 0.508274 \n", " 1 0.869901 0.779725 0.720285 0.667548 0.560855 0.475722 0.438662 \n", " 2 0.983344 0.956216 0.947729 0.898935 0.924944 0.879886 0.86914 \n", " 3 0.903082 0.88664 0.834278 0.755645 0.669624 0.587114 0.549018 \n", " 4 0.78227 0.777061 0.784821 0.874196 0.878484 0.779277 0.673977 \n", " 5 1.67519 1.6609 1.69614 1.76924 1.44532 1.20287 1.0013 \n", " \n", " 7 8 9 10 11 \n", " 0 0.580933 0.794948 0.44431 0.415851 0.390852 \n", " 1 0.397653 0.376023 0.360626 0.349681 0.314959 \n", " 2 0.840833 0.853995 0.917681 0.872983 0.790076 \n", " 3 0.537669 0.488232 0.478627 0.409533 0.391178 \n", " 4 0.562256 0.497341 0.471797 0.429867 0.420825 \n", " 5 0.834382 0.750194 0.741657 0.678572 0.668921 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.903926 0.785755 0.723939 0.667775 0.573313 0.520561 0.478163 \n", " 1 0.860318 0.748391 0.670811 0.619674 0.574304 0.482513 0.409272 \n", " 2 0.903464 0.888416 0.863906 0.856239 0.812155 0.835653 0.794945 \n", " 3 0.966482 0.872813 0.856922 0.806315 0.730317 0.64718 0.567435 \n", " 4 2.44906 1.91582 1.90307 1.92207 2.14096 2.15146 1.90849 \n", " \n", " 7 8 9 10 11 \n", " 0 0.459442 0.52512 0.718574 0.401624 0.375898 \n", " 1 0.377389 0.342108 0.323499 0.310253 0.300837 \n", " 2 0.785237 0.759662 0.771554 0.829091 0.788708 \n", " 3 0.530616 0.519648 0.471868 0.462584 0.395806 \n", " 4 1.65061 1.377 1.21802 1.15546 1.05277 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.790811 0.714834 0.621383 0.572499 0.528084 0.453382 0.411665 \n", " 1 0.864255 0.743534 0.6468 0.579752 0.535556 0.496345 0.417015 \n", " 2 0.799146 0.722 0.709974 0.690387 0.68426 0.649031 0.667809 \n", " 3 2.04916 1.98048 1.78854 1.75597 1.65227 1.49654 1.32618 \n", " \n", " 7 8 9 10 11 \n", " 0 0.378136 0.363332 0.415271 0.568256 0.317608 \n", " 1 0.353715 0.32616 0.295669 0.279586 0.268137 \n", " 2 0.635278 0.627519 0.607081 0.616584 0.662565 \n", " 3 1.16277 1.08732 1.06484 0.966935 0.947911 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 0.791441 0.62588 0.565749 0.491788 0.453099 0.417947 0.358825 \n", " 1 1.10915 0.958587 0.82469 0.717398 0.643031 0.594011 0.55052 \n", " 2 0.872125 0.696956 0.629674 0.619186 0.602104 0.59676 0.566036 \n", " \n", " 7 8 9 10 11 \n", " 0 0.325809 0.299273 0.287556 0.328662 0.449741 \n", " 1 0.462531 0.392323 0.36176 0.327941 0.310102 \n", " 2 0.582413 0.554042 0.547275 0.529451 0.537739 ,\n", " 0 1 2 3 4 5 6 \\\n", " 0 1.26711 1.00284 0.793058 0.716866 0.623149 0.574126 0.529585 \n", " 1 2.02299 2.2438 1.93921 1.66834 1.45129 1.30084 1.20168 \n", " \n", " 7 8 9 10 11 \n", " 0 0.45467 0.412835 0.379211 0.364364 0.416451 \n", " 1 1.1137 0.935695 0.793664 0.731836 0.66342 ,\n", " 0 1 2 3 4 5 6 7 \\\n", " 0 2.00756 2.54379 2.01326 1.59211 1.43915 1.25101 1.15259 1.06317 \n", " \n", " 8 9 10 11 \n", " 0 0.912777 0.828791 0.761288 0.731482 ]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_list3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### As mentioned at the for loop step, each row in each list in res_list3 has a release month associated with it, \n", "#### So for our first list, which calculates decay for April 2020-March 2021, we are comparing to March 2020 releases (1 month old) all the way back to October 2014 (66 months old)\n", "### The below for loop adds the release age (or months after release) to the \"month\" column. This will allow us to compare decay for all tracks that are 1 month old for example regardless of when they were released" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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01.024781.025060.9777460.9381561.034691.087661.135911.573522.187880.9913031.053581.0488366
11.088991.065171.0761.200691.102651.066751.076761.064951.061051.073391.093461.1018965
20.9681310.9813031.037770.9615580.966860.9501230.9670560.9731770.9731491.049921.055541.0642164
30.9878830.9604190.9437640.9203390.9185160.8996730.9031140.8605110.7753880.8744710.9096660.92092763
41.005381.012020.9929180.956090.9421680.9240670.9329650.8907350.7625250.8554790.8741940.93682262
..........................................
11.109150.9585870.824690.7173980.6430310.5940110.550520.4625310.3923230.361760.3279410.3101022
20.8721250.6969560.6296740.6191860.6021040.596760.5660360.5824130.5540420.5472750.5294510.5377391
01.267111.002840.7930580.7168660.6231490.5741260.5295850.454670.4128350.3792110.3643640.4164512
12.022992.24381.939211.668341.451291.300841.201681.11370.9356950.7936640.7318360.663421
02.007562.543792.013261.592111.439151.251011.152591.063170.9127770.8287910.7612880.7314821
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2211 rows × 13 columns

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0.830240 0.801510 0.775696 0.751594 \n", "mean 0.959918 0.923855 0.887686 0.857324 0.830083 0.804105 0.779306 \n", "mean 0.961380 0.922616 0.892084 0.862820 0.835759 0.809341 0.795611 \n", "mean 0.959065 0.926887 0.896645 0.866607 0.840031 0.825729 0.812755 \n", "mean 0.966330 0.934630 0.903944 0.876158 0.861332 0.845663 0.837238 \n", "mean 0.967016 0.934751 0.906898 0.891411 0.875009 0.866308 0.862078 \n", "mean 0.966222 0.938510 0.923171 0.906437 0.897371 0.892853 0.830325 \n", "mean 0.970872 0.954983 0.938670 0.929382 0.924936 0.858512 0.844689 \n", "mean 0.982760 0.966045 0.956603 0.950764 0.880117 0.866587 0.842865 \n", "mean 0.983446 0.974097 0.968755 0.893577 0.879737 0.855696 0.825749 \n", "mean 0.989689 0.983895 0.907939 0.893287 0.868213 0.837824 0.815542 \n", "mean 0.990053 0.921236 0.907664 0.882912 0.851811 0.829225 0.806024 \n", "mean 0.935175 0.921091 0.897318 0.865900 0.843215 0.820770 0.796667 \n", "mean 0.983696 0.957781 0.925178 0.901872 0.875776 0.850192 0.833255 \n", "mean 0.974668 0.941822 0.919340 0.892536 0.866602 0.849386 0.841289 \n", "mean 0.966104 0.942372 0.915732 0.888792 0.871420 0.862815 0.867402 \n", "\n", " 7 8 9 10 11 month \n", "mean 0.689092 0.632015 0.591305 0.554707 0.521678 1.0 \n", "mean 0.403263 0.377960 0.354578 0.334080 0.321628 2.0 \n", "mean 0.458870 0.430447 0.404860 0.388580 0.371375 3.0 \n", "mean 0.496573 0.466899 0.448379 0.428981 0.393020 4.0 \n", "mean 0.523405 0.502552 0.481135 0.440035 0.414358 5.0 \n", "mean 0.557476 0.532583 0.486322 0.458066 0.433905 6.0 \n", "mean 0.585018 0.533095 0.501450 0.474520 0.446163 7.0 \n", "mean 0.586586 0.550841 0.521123 0.490229 0.465226 8.0 \n", "mean 0.597067 0.564058 0.530662 0.503347 0.482373 9.0 \n", "mean 0.608765 0.571362 0.542149 0.519762 0.496022 10.0 \n", "mean 0.610458 0.578388 0.554379 0.528848 0.507462 11.0 \n", "mean 0.617820 0.591438 0.564077 0.541279 0.522211 12.0 \n", "mean 0.627621 0.597253 0.572912 0.552718 0.539818 13.0 \n", "mean 0.626293 0.599563 0.578640 0.564704 0.553358 14.0 \n", "mean 0.630134 0.606765 0.592085 0.579473 0.559292 15.0 \n", "mean 0.663309 0.646485 0.635174 0.616633 0.570442 16.0 \n", "mean 0.689097 0.675988 0.656662 0.606651 0.580691 17.0 \n", "mean 0.715669 0.695486 0.641689 0.614048 0.590789 18.0 \n", "mean 0.736924 0.683735 0.654450 0.629828 0.605769 19.0 \n", "mean 0.720943 0.688902 0.662753 0.637240 0.615409 20.0 \n", "mean 0.722760 0.693854 0.666983 0.644149 0.623204 21.0 \n", "mean 0.730767 0.701063 0.676876 0.654677 0.635124 22.0 \n", "mean 0.734363 0.707607 0.684320 0.663529 0.643965 23.0 \n", "mean 0.732520 0.707231 0.685801 0.665501 0.653661 24.0 \n", "mean 0.727970 0.703986 0.682923 0.671324 0.664044 25.0 \n", "mean 0.724040 0.700372 0.688653 0.680308 0.676700 26.0 \n", "mean 0.727906 0.714547 0.706405 0.702271 0.684634 27.0 \n", "mean 0.766871 0.757106 0.756838 0.743134 0.692000 28.0 \n", "mean 0.785383 0.784517 0.770234 0.716057 0.704192 29.0 \n", "mean 0.805737 0.800736 0.743144 0.730871 0.712110 30.0 \n", "mean 0.831871 0.773242 0.760443 0.740803 0.717008 31.0 \n", "mean 0.802253 0.786993 0.766382 0.741387 0.728013 32.0 \n", "mean 0.815900 0.791919 0.765724 0.751628 0.730462 33.0 \n", "mean 0.820460 0.790848 0.776311 0.754031 0.733088 34.0 \n", "mean 0.812151 0.789457 0.768534 0.748084 0.731862 35.0 \n", "mean 0.803634 0.778353 0.758181 0.741919 0.733243 36.0 \n", "mean 0.790838 0.764883 0.748784 0.740157 0.742682 37.0 \n", "mean 0.781767 0.762899 0.754269 0.756285 0.765090 38.0 \n", "mean 0.778281 0.766379 0.768117 0.774290 0.773234 39.0 \n", "mean 0.823912 0.824403 0.840857 0.848194 0.784950 40.0 \n", "mean 0.844541 0.860080 0.867864 0.801377 0.785683 41.0 \n", "mean 0.888737 0.897664 0.825307 0.808945 0.794252 42.0 " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create mean_df - this is what you'll use for the predictions so it's super important\n", "mean_df = pd.DataFrame()\n", "for i in range(1,43):\n", " x_df[x_df['month']==i].describe()\n", " mean_df = mean_df.append(x_df[x_df['month']==i].describe().loc['mean'])\n", " \n", "mean_df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### You can skip this step if you want, it's just for reference" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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01234567891011month
std0.4822060.5455900.4941290.4497630.4165170.3823910.3582830.3301840.2932590.2661650.2436970.2185260.0
std0.1265850.1377090.1417200.1410810.1377900.1388240.1358240.1247460.1172000.1064060.0962570.0960130.0
std0.0709650.1064480.1340700.1463270.1558540.1575600.1484490.1415470.1308590.1184750.1166220.1129570.0
std0.0782110.1201760.1412770.1539130.1608820.1536070.1498820.1382070.1255260.1247150.1238310.1099000.0
std0.0837990.1127350.1342790.1490150.1464390.1453300.1356640.1237070.1243510.1260560.1094570.1051280.0
std0.0610890.0967130.1212110.1245320.1287110.1235170.1148470.1203310.1252310.1073280.1053170.1036050.0
std0.0637900.0995880.1088260.1121700.1101020.1040130.1101910.1167180.0945170.0928570.0917580.0859370.0
std0.0616090.0836820.0927640.0949470.0940830.1050710.1118270.0888180.0879050.0884030.0847990.0804540.0
std0.0456890.0650180.0778390.0822890.0979110.1087270.0826560.0848600.0873140.0854250.0810340.0852500.0
std0.0422070.0627010.0702010.0861060.1132660.0771650.0796430.0835950.0795340.0761400.0834870.0796870.0
std0.0492020.0593790.0799720.1130750.0668000.0713070.0753230.0724090.0681010.0770300.0751780.0770240.0
std0.0374050.0794380.1210200.0607740.0664380.0707420.0665970.0626840.0736040.0731360.0768920.0702120.0
std0.0601510.1198460.0531440.0608540.0661290.0623840.0596210.0699840.0681420.0740650.0690780.0717900.0
std0.0878130.0561820.0635570.0668910.0631580.0620190.0680540.0641530.0715150.0692950.0691420.0725340.0
std0.0729110.0766310.0806960.0761370.0718640.0763430.0758090.0813390.0772750.0785370.0800940.0662730.0
std0.0344900.0520460.0501430.0510630.0602070.0600310.0689340.0636220.0669320.0866300.1088590.0677050.0
std0.0384310.0393810.0448930.0599470.0614030.0690100.0629940.0682350.0870160.1135060.0662610.0626250.0
std0.0318150.0472500.0620870.0651060.0717890.0662340.0743190.0923350.1219790.0705360.0667650.0642810.0
std0.0371460.0589860.0631770.0684230.0630490.0755140.0934240.1232350.0704820.0680560.0677180.0662470.0
std0.0544940.0628250.0661810.0592530.0768860.0944740.1231580.0700040.0669460.0669860.0665140.0654550.0
std0.0362420.0486850.0510330.0732030.0946000.1280000.0740710.0684630.0640860.0636640.0648000.0578400.0
std0.0367730.0492850.0645690.0921210.1342630.0661760.0621350.0587550.0602800.0618150.0568340.0588980.0
std0.0405100.0593980.0907450.1391120.0639910.0579090.0566000.0588140.0629560.0605980.0616180.0589970.0
std0.0562280.0862670.1384330.0561720.0518630.0507800.0568900.0623830.0607180.0644700.0626990.0604290.0
std0.0755820.1415680.0536790.0543170.0557080.0620740.0654330.0638670.0669200.0666710.0694550.0667640.0
std0.0863300.0690480.0681890.0691570.0722750.0700610.0700460.0704100.0708480.0768150.0675930.0669070.0
std0.0837970.0835170.0851320.0856040.0823220.0809700.0848190.0818040.0895630.0853750.0930320.0721990.0
std0.0316920.0470950.0539010.0541840.0595670.0634730.0631630.0740970.0758270.1145440.1441610.0808900.0
std0.0329610.0405810.0469020.0526100.0579850.0533710.0621110.0647710.1115640.1433490.0704170.0744150.0
std0.0270320.0366980.0433440.0494960.0510120.0562320.0558330.0938000.1495240.0711130.0750910.0676350.0
std0.0281100.0396630.0483230.0511260.0579220.0548180.0972270.1564890.0752950.0800370.0712100.0652860.0
std0.0349960.0424740.0487840.0588460.0570990.0976830.1567130.0741720.0813990.0735760.0669380.0919070.0
std0.0332800.0448740.0563950.0518280.1005040.1625770.0736970.0804920.0735720.0682670.0942430.0951370.0
std0.0371000.0568200.0544500.1029800.1665420.0735170.0828280.0760290.0704150.0999660.1010030.0992860.0
std0.0449950.0436050.0974230.1639450.0608340.0702100.0672030.0603100.0744510.0860330.0882770.0780510.0
std0.0363010.1015850.1741410.0515010.0608480.0561960.0537230.0699170.0777900.0852950.0747240.0709310.0
std0.0863960.1635660.0510500.0604990.0558370.0520780.0663430.0755330.0752720.0683650.0682990.0587670.0
std0.0710260.0841890.0909150.0888950.0835650.0909780.1017910.1003410.0933620.0934170.0846060.0543410.0
std0.1133320.1171080.1163310.1104810.1172460.1299430.1276220.1182040.1150660.1064280.0725470.0508210.0
std0.0427450.0446850.0456900.0695780.0799030.0769680.0643510.0589240.0595670.1015080.1699670.0474360.0
std0.0318280.0546250.0746720.0826950.0801930.0695470.0662550.0621240.1044110.1765930.0463290.0551420.0
std0.0470050.0682730.0758840.0736090.0658730.0608590.0585050.1089270.1885370.0439480.0530510.0613390.0
\n", "
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0.074672 0.082695 0.080193 0.069547 0.066255 \n", "std 0.047005 0.068273 0.075884 0.073609 0.065873 0.060859 0.058505 \n", "\n", " 7 8 9 10 11 month \n", "std 0.330184 0.293259 0.266165 0.243697 0.218526 0.0 \n", "std 0.124746 0.117200 0.106406 0.096257 0.096013 0.0 \n", "std 0.141547 0.130859 0.118475 0.116622 0.112957 0.0 \n", "std 0.138207 0.125526 0.124715 0.123831 0.109900 0.0 \n", "std 0.123707 0.124351 0.126056 0.109457 0.105128 0.0 \n", "std 0.120331 0.125231 0.107328 0.105317 0.103605 0.0 \n", "std 0.116718 0.094517 0.092857 0.091758 0.085937 0.0 \n", "std 0.088818 0.087905 0.088403 0.084799 0.080454 0.0 \n", "std 0.084860 0.087314 0.085425 0.081034 0.085250 0.0 \n", "std 0.083595 0.079534 0.076140 0.083487 0.079687 0.0 \n", "std 0.072409 0.068101 0.077030 0.075178 0.077024 0.0 \n", "std 0.062684 0.073604 0.073136 0.076892 0.070212 0.0 \n", "std 0.069984 0.068142 0.074065 0.069078 0.071790 0.0 \n", "std 0.064153 0.071515 0.069295 0.069142 0.072534 0.0 \n", "std 0.081339 0.077275 0.078537 0.080094 0.066273 0.0 \n", "std 0.063622 0.066932 0.086630 0.108859 0.067705 0.0 \n", "std 0.068235 0.087016 0.113506 0.066261 0.062625 0.0 \n", "std 0.092335 0.121979 0.070536 0.066765 0.064281 0.0 \n", "std 0.123235 0.070482 0.068056 0.067718 0.066247 0.0 \n", "std 0.070004 0.066946 0.066986 0.066514 0.065455 0.0 \n", "std 0.068463 0.064086 0.063664 0.064800 0.057840 0.0 \n", "std 0.058755 0.060280 0.061815 0.056834 0.058898 0.0 \n", "std 0.058814 0.062956 0.060598 0.061618 0.058997 0.0 \n", "std 0.062383 0.060718 0.064470 0.062699 0.060429 0.0 \n", "std 0.063867 0.066920 0.066671 0.069455 0.066764 0.0 \n", "std 0.070410 0.070848 0.076815 0.067593 0.066907 0.0 \n", "std 0.081804 0.089563 0.085375 0.093032 0.072199 0.0 \n", "std 0.074097 0.075827 0.114544 0.144161 0.080890 0.0 \n", "std 0.064771 0.111564 0.143349 0.070417 0.074415 0.0 \n", "std 0.093800 0.149524 0.071113 0.075091 0.067635 0.0 \n", "std 0.156489 0.075295 0.080037 0.071210 0.065286 0.0 \n", "std 0.074172 0.081399 0.073576 0.066938 0.091907 0.0 \n", "std 0.080492 0.073572 0.068267 0.094243 0.095137 0.0 \n", "std 0.076029 0.070415 0.099966 0.101003 0.099286 0.0 \n", "std 0.060310 0.074451 0.086033 0.088277 0.078051 0.0 \n", "std 0.069917 0.077790 0.085295 0.074724 0.070931 0.0 \n", "std 0.075533 0.075272 0.068365 0.068299 0.058767 0.0 \n", "std 0.100341 0.093362 0.093417 0.084606 0.054341 0.0 \n", "std 0.118204 0.115066 0.106428 0.072547 0.050821 0.0 \n", "std 0.058924 0.059567 0.101508 0.169967 0.047436 0.0 \n", "std 0.062124 0.104411 0.176593 0.046329 0.055142 0.0 \n", "std 0.108927 0.188537 0.043948 0.053051 0.061339 0.0 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a df with standard deviations for reference/to understand stability of data\n", "std_df = pd.DataFrame()\n", "for i in range(1,43):\n", " x_df[x_df['month']==i].describe()\n", " std_df = std_df.append(x_df[x_df['month']==i].describe().loc['std'])\n", " \n", "std_df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Now use the mean_df to predict on other data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Now use the 3 below cells to predict at the label level\n", "### Bring in label-level data below, works for any label\n", "### Only works for the US because we are joining to the US market share dataframe (df)" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "# Need to bring in new data and add market share and six month segment fields here\n", "# Note that it is called label but works for any label\n", "label = pd.read_csv('/Users/barr001/OneDrive - Sony Music Entertainment/Desktop/Finance Market Share Trending/columbia_level.csv')\n", "label['month_end_date'] = pd.to_datetime(label['month_end_date'])\n", "label_df = label.merge(ms, left_on='month_end_date', right_on='report_month')\n", "label_group = label_df.groupby(['month_end_date','release_month','months_after_release']).agg({'isrc_count':'sum','streams':'sum','Industry Streams':'mean','SME Streams':'mean'})\n", "label_group['market_share'] = label_group['streams']/label_group['Industry Streams']\n", "label_group = label_group.reset_index()\n", "label_group['six_month_segment']=np.floor(label_group['months_after_release']/6)" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/barr001/anaconda3/envs/python3.7/lib/python3.7/site-packages/ipykernel_launcher.py:3: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", " This is separate from the ipykernel package so we can avoid doing imports until\n" ] } ], "source": [ "# I want to predict using march 2021 data for the label, so I filter for the desired month\n", "march_21 = label_group[label_group['month_end_date']=='2021-03-31']\n", "march_21['adj_months_after_release']=march_21['months_after_release']+1\n", "march_21 = march_21[['month_end_date','adj_months_after_release','market_share','six_month_segment']]" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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01234567891011monthmonth_end_dateadj_months_after_releasemarket_sharesix_month_segment
00.0017500.0014800.0012850.0011430.0010260.0009240.0008400.0007720.0007080.0006620.0006210.0005841.02021-03-3110.0011200.0
10.0010850.0009400.0008340.0007500.0006780.0006180.0005710.0005260.0004930.0004620.0004360.0004192.02021-03-3120.0013040.0
20.0000940.0000830.0000750.0000680.0000620.0000570.0000530.0000500.0000470.0000440.0000420.0000403.02021-03-3130.0001090.0
30.0003000.0002700.0002440.0002230.0002060.0001910.0001790.0001680.0001580.0001520.0001450.0001334.02021-03-3140.0003380.0
40.0013820.0012480.0011370.0010520.0009730.0009140.0008560.0008050.0007730.0007400.0006770.0006385.02021-03-3150.0015390.0
50.0005540.0005040.0004660.0004310.0004050.0003790.0003570.0003430.0003280.0002990.0002820.0002676.02021-03-3160.0006160.0
60.0006050.0005590.0005170.0004830.0004530.0004270.0004100.0003910.0003560.0003350.0003170.0002987.02021-03-3170.0006681.0
70.0002270.0002090.0001960.0001830.0001730.0001660.0001580.0001440.0001360.0001280.0001210.0001148.02021-03-3180.0002461.0
80.0008120.0007590.0007110.0006700.0006440.0006140.0005600.0005260.0004970.0004670.0004430.0004259.02021-03-3190.0008811.0
90.0007790.0007290.0006880.0006580.0006290.0005740.0005390.0005090.0004770.0004530.0004340.00041410.02021-03-31100.0008351.0
100.0012600.0011880.0011350.0010850.0009880.0009270.0008760.0008220.0007790.0007470.0007120.00068411.02021-03-31110.0013471.0
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0.000298 0.000279 0.000265 0.000254 \n", "14 0.000354 0.000331 0.000312 0.000293 0.000278 0.000266 0.000254 \n", "15 0.001151 0.001086 0.001018 0.000966 0.000925 0.000882 0.000846 \n", "16 0.000730 0.000684 0.000650 0.000622 0.000594 0.000568 0.000548 \n", "17 0.000487 0.000462 0.000443 0.000422 0.000403 0.000389 0.000379 \n", "18 0.000347 0.000333 0.000317 0.000303 0.000292 0.000285 0.000279 \n", "19 0.000318 0.000303 0.000289 0.000279 0.000272 0.000266 0.000258 \n", "20 0.000306 0.000293 0.000283 0.000276 0.000270 0.000262 0.000243 \n", "21 0.000649 0.000627 0.000612 0.000599 0.000580 0.000538 0.000515 \n", "22 0.000732 0.000715 0.000699 0.000678 0.000628 0.000601 0.000579 \n", "23 0.000509 0.000497 0.000483 0.000447 0.000428 0.000412 0.000396 \n", "24 0.000185 0.000180 0.000166 0.000159 0.000153 0.000147 0.000142 \n", "25 0.000288 0.000268 0.000256 0.000247 0.000237 0.000229 0.000222 \n", "26 0.000436 0.000418 0.000403 0.000387 0.000373 0.000361 0.000350 \n", "27 0.000076 0.000073 0.000070 0.000068 0.000066 0.000064 0.000062 \n", "28 0.000426 0.000408 0.000395 0.000382 0.000370 0.000358 0.000352 \n", "29 0.000392 0.000379 0.000367 0.000354 0.000343 0.000338 0.000332 \n", "30 0.000475 0.000460 0.000444 0.000431 0.000424 0.000416 0.000412 \n", "31 0.000131 0.000127 0.000123 0.000121 0.000119 0.000118 0.000117 \n", "32 0.000092 0.000090 0.000088 0.000087 0.000086 0.000085 0.000079 \n", "33 0.000187 0.000184 0.000181 0.000179 0.000178 0.000166 0.000163 \n", "34 0.000128 0.000126 0.000125 0.000124 0.000115 0.000113 0.000110 \n", "35 0.000185 0.000184 0.000183 0.000169 0.000166 0.000161 0.000156 \n", "36 0.000230 0.000229 0.000211 0.000208 0.000202 0.000195 0.000189 \n", "37 0.000256 0.000238 0.000234 0.000228 0.000220 0.000214 0.000208 \n", "38 0.000064 0.000063 0.000061 0.000059 0.000058 0.000056 0.000055 \n", "39 0.000078 0.000076 0.000074 0.000072 0.000070 0.000068 0.000066 \n", "40 0.000105 0.000101 0.000099 0.000096 0.000093 0.000091 0.000090 \n", "41 0.000177 0.000173 0.000168 0.000163 0.000160 0.000158 0.000159 \n", "\n", " 7 8 9 10 11 month month_end_date \\\n", "0 0.000772 0.000708 0.000662 0.000621 0.000584 1.0 2021-03-31 \n", "1 0.000526 0.000493 0.000462 0.000436 0.000419 2.0 2021-03-31 \n", "2 0.000050 0.000047 0.000044 0.000042 0.000040 3.0 2021-03-31 \n", "3 0.000168 0.000158 0.000152 0.000145 0.000133 4.0 2021-03-31 \n", "4 0.000805 0.000773 0.000740 0.000677 0.000638 5.0 2021-03-31 \n", "5 0.000343 0.000328 0.000299 0.000282 0.000267 6.0 2021-03-31 \n", "6 0.000391 0.000356 0.000335 0.000317 0.000298 7.0 2021-03-31 \n", "7 0.000144 0.000136 0.000128 0.000121 0.000114 8.0 2021-03-31 \n", "8 0.000526 0.000497 0.000467 0.000443 0.000425 9.0 2021-03-31 \n", "9 0.000509 0.000477 0.000453 0.000434 0.000414 10.0 2021-03-31 \n", "10 0.000822 0.000779 0.000747 0.000712 0.000684 11.0 2021-03-31 \n", "11 0.000289 0.000277 0.000264 0.000253 0.000244 12.0 2021-03-31 \n", "12 0.000112 0.000107 0.000103 0.000099 0.000097 13.0 2021-03-31 \n", "13 0.000242 0.000232 0.000224 0.000218 0.000214 14.0 2021-03-31 \n", "14 0.000243 0.000234 0.000229 0.000224 0.000216 15.0 2021-03-31 \n", "15 0.000815 0.000794 0.000780 0.000757 0.000701 16.0 2021-03-31 \n", "16 0.000534 0.000524 0.000509 0.000470 0.000450 17.0 2021-03-31 \n", "17 0.000371 0.000361 0.000333 0.000319 0.000307 18.0 2021-03-31 \n", "18 0.000270 0.000250 0.000239 0.000230 0.000222 19.0 2021-03-31 \n", "19 0.000239 0.000228 0.000220 0.000211 0.000204 20.0 2021-03-31 \n", "20 0.000232 0.000223 0.000215 0.000207 0.000200 21.0 2021-03-31 \n", "21 0.000495 0.000475 0.000459 0.000444 0.000430 22.0 2021-03-31 \n", "22 0.000556 0.000536 0.000518 0.000502 0.000487 23.0 2021-03-31 \n", "23 0.000382 0.000369 0.000358 0.000347 0.000341 24.0 2021-03-31 \n", "24 0.000137 0.000133 0.000129 0.000127 0.000125 25.0 2021-03-31 \n", "25 0.000214 0.000207 0.000204 0.000201 0.000200 26.0 2021-03-31 \n", "26 0.000339 0.000333 0.000329 0.000327 0.000319 27.0 2021-03-31 \n", "27 0.000061 0.000060 0.000060 0.000059 0.000055 28.0 2021-03-31 \n", "28 0.000348 0.000347 0.000341 0.000317 0.000312 29.0 2021-03-31 \n", "29 0.000329 0.000327 0.000304 0.000299 0.000291 30.0 2021-03-31 \n", "30 0.000409 0.000380 0.000374 0.000364 0.000353 31.0 2021-03-31 \n", "31 0.000109 0.000107 0.000104 0.000101 0.000099 32.0 2021-03-31 \n", "32 0.000078 0.000076 0.000073 0.000072 0.000070 33.0 2021-03-31 \n", "33 0.000158 0.000152 0.000150 0.000145 0.000141 34.0 2021-03-31 \n", "34 0.000106 0.000103 0.000100 0.000098 0.000095 35.0 2021-03-31 \n", "35 0.000152 0.000147 0.000143 0.000140 0.000138 36.0 2021-03-31 \n", "36 0.000184 0.000178 0.000174 0.000172 0.000173 37.0 2021-03-31 \n", "37 0.000202 0.000197 0.000195 0.000195 0.000198 38.0 2021-03-31 \n", "38 0.000053 0.000053 0.000053 0.000053 0.000053 39.0 2021-03-31 \n", "39 0.000066 0.000066 0.000067 0.000068 0.000063 40.0 2021-03-31 \n", "40 0.000091 0.000092 0.000093 0.000086 0.000084 41.0 2021-03-31 \n", "41 0.000163 0.000165 0.000152 0.000149 0.000146 42.0 2021-03-31 \n", "\n", " adj_months_after_release market_share six_month_segment \n", "0 1 0.001120 0.0 \n", "1 2 0.001304 0.0 \n", "2 3 0.000109 0.0 \n", "3 4 0.000338 0.0 \n", "4 5 0.001539 0.0 \n", "5 6 0.000616 0.0 \n", "6 7 0.000668 1.0 \n", "7 8 0.000246 1.0 \n", "8 9 0.000881 1.0 \n", "9 10 0.000835 1.0 \n", "10 11 0.001347 1.0 \n", "11 12 0.000468 1.0 \n", "12 13 0.000179 2.0 \n", "13 14 0.000386 2.0 \n", "14 15 0.000386 2.0 \n", "15 16 0.001228 2.0 \n", "16 17 0.000775 2.0 \n", "17 18 0.000519 2.0 \n", "18 19 0.000366 3.0 \n", "19 20 0.000332 3.0 \n", "20 21 0.000322 3.0 \n", "21 22 0.000678 3.0 \n", "22 23 0.000757 3.0 \n", "23 24 0.000521 3.0 \n", "24 25 0.000189 4.0 \n", "25 26 0.000296 4.0 \n", "26 27 0.000466 4.0 \n", "27 28 0.000079 4.0 \n", "28 29 0.000443 4.0 \n", "29 30 0.000409 4.0 \n", "30 31 0.000492 5.0 \n", "31 32 0.000136 5.0 \n", "32 33 0.000096 5.0 \n", "33 34 0.000193 5.0 \n", "34 35 0.000130 5.0 \n", "35 36 0.000189 5.0 \n", "36 37 0.000232 6.0 \n", "37 38 0.000258 6.0 \n", "38 39 0.000069 6.0 \n", "39 40 0.000080 6.0 \n", "40 41 0.000107 6.0 \n", "41 42 0.000184 6.0 " ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# First I merge march_21 with mean_df so I have all the data in one place\n", "pred = mean_df.merge(march_21, left_on='month', right_on='adj_months_after_release')\n", "\n", "# Then I apply the mean values to the March market share\n", "# You can rename 6 month segments to 1-6 months, 7-12 months, etc\n", "for i in range(42):\n", " for j in range(12):\n", " pred.iloc[i,j] = pred.iloc[i,j]*pred.iloc[i,15]\n", " \n", "pred" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Now need to calculate actuals and compare\n", "## Start here for monthly monitoring (but make sure you'll be comparing to the correct predictions in pred first)\n", "### Bring in the file with the newest months of market share below\n", "#### There are still manual steps here that need to be generalized, especially the month_comp fields\n", "\n" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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report_monthIndustry StreamsSME Streams
02014-01-313667154310760387361
12014-02-283776915779775957473
22014-03-314272373773853643684
32014-04-304446857946876173071
42014-05-314766570840954313225
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872021-04-30413754231106562605907
882021-05-31428461594386764924095
892021-06-30413287435926644322340
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92 rows × 3 columns

\n", "
" ], "text/plain": [ " report_month Industry Streams SME Streams\n", "0 2014-01-31 3667154310 760387361\n", "1 2014-02-28 3776915779 775957473\n", "2 2014-03-31 4272373773 853643684\n", "3 2014-04-30 4446857946 876173071\n", "4 2014-05-31 4766570840 954313225\n", ".. ... ... ...\n", "87 2021-04-30 41375423110 6562605907\n", "88 2021-05-31 42846159438 6764924095\n", "89 2021-06-30 41328743592 6644322340\n", "90 2021-07-31 42164850395 6910170931\n", "91 2021-08-31 42393935395 6819080030\n", "\n", "[92 rows x 3 columns]" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Bringing in the newer market share data here\n", "new_ms = pd.read_excel(\"/Users/barr001/Downloads/Spotify Streams thru Aug'21 US GB BR MX.xlsx\", skiprows=2, sheet_name='USA')\n", "new_ms = new_ms.rename(columns={'Unnamed: 0': 'report_month'})\n", "new_ms = new_ms[['report_month','Industry Streams', 'SME Streams']]\n", "new_ms['report_month'] = new_ms['report_month']-pd.offsets.MonthEnd(0)\n", "new_ms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### new_data below should be the most updated data with the most recent month we are monitoring (August 2021 \n", "### So every month I will bring in the data that has been updated to include the most recent month\n", "### This is the data pulled from my final query in finance_label_level.sql" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_daterelease_monthmonths_after_releaseisrc_countstreamsIndustry StreamsSME Streamsmarket_sharesix_month_segment
30812021-04-302014-10-0178143128899914137542311065626059070.00031213.0
30822021-04-302014-11-0177165180738744137542311065626059070.00043712.0
30832021-04-302014-12-017649263079724137542311065626059070.00063612.0
30842021-04-302015-01-0175526775774137542311065626059070.00001612.0
30852021-04-302015-02-01744451214604137542311065626059070.00012412.0
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34702021-08-312021-03-01593405580494239393539568190800300.0009570.0
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390 rows × 9 columns

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" ], "text/plain": [ " month_end_date release_month months_after_release isrc_count streams \\\n", "3081 2021-04-30 2014-10-01 78 143 12889991 \n", "3082 2021-04-30 2014-11-01 77 165 18073874 \n", "3083 2021-04-30 2014-12-01 76 49 26307972 \n", "3084 2021-04-30 2015-01-01 75 52 677577 \n", "3085 2021-04-30 2015-02-01 74 44 5121460 \n", "... ... ... ... ... ... \n", "3466 2021-08-31 2020-11-01 9 120 46867954 \n", "3467 2021-08-31 2020-12-01 8 82 9583768 \n", "3468 2021-08-31 2021-01-01 7 41 3189780 \n", "3469 2021-08-31 2021-02-01 6 42 18362861 \n", "3470 2021-08-31 2021-03-01 5 93 40558049 \n", "\n", " Industry Streams SME Streams market_share six_month_segment \n", "3081 41375423110 6562605907 0.000312 13.0 \n", "3082 41375423110 6562605907 0.000437 12.0 \n", "3083 41375423110 6562605907 0.000636 12.0 \n", "3084 41375423110 6562605907 0.000016 12.0 \n", "3085 41375423110 6562605907 0.000124 12.0 \n", "... ... ... ... ... \n", "3466 42393935395 6819080030 0.001106 1.0 \n", "3467 42393935395 6819080030 0.000226 1.0 \n", "3468 42393935395 6819080030 0.000075 1.0 \n", "3469 42393935395 6819080030 0.000433 1.0 \n", "3470 42393935395 6819080030 0.000957 0.0 \n", "\n", "[390 rows x 9 columns]" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Bringing in and prepping the updated US label data (includes the newest month e.g. August 2021)\n", "new_data = pd.read_csv('/Users/barr001/OneDrive - Sony Music Entertainment/Desktop/Finance Market Share Trending/columbia_thru_aug_21.csv')\n", "new_data['month_end_date'] = pd.to_datetime(new_data['month_end_date'])\n", "\n", "# Now I'm combining the new stream data with the new market share data and grouping it\n", "temp = new_data.merge(new_ms, left_on='month_end_date', right_on='report_month')\n", "new_combo = temp.groupby(['month_end_date','release_month','months_after_release']).agg({'isrc_count':'sum','streams':'sum','Industry Streams':'mean','SME Streams':'mean'})\n", "new_combo['market_share'] = new_combo['streams']/new_combo['Industry Streams']\n", "new_combo = new_combo.reset_index()\n", "new_combo['six_month_segment']=np.floor(new_combo['months_after_release']/6)\n", "\n", "# Filter for only months after the month you used for prediction\n", "new_combo = new_combo[new_combo['month_end_date']>='2021-04-01']\n", "\n", "# Filter to make sure you are only incluidng releases you predicted on\n", "# In this case we do not want to accidentally include releases after March 2021 (our prediction month)\n", "new_combo = new_combo[new_combo['release_month']<'2021-04-01']\n", "\n", "new_combo" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_daterelease_monthmonths_after_releaseisrc_countstreamsIndustry StreamsSME Streamsmarket_sharesix_month_segmentprediction_monthmonths_after_predmatch_pred_month
30812021-04-302014-10-0178143128899914137542311065626059070.00031213.02021-03-3110
30822021-04-302014-11-0177165180738744137542311065626059070.00043712.02021-03-3110
30832021-04-302014-12-017649263079724137542311065626059070.00063612.02021-03-3110
30842021-04-302015-01-0175526775774137542311065626059070.00001612.02021-03-3110
30852021-04-302015-02-01744451214604137542311065626059070.00012412.02021-03-3110
.......................................
34662021-08-312020-11-019120468679544239393539568190800300.0011061.02021-03-3154
34672021-08-312020-12-0188295837684239393539568190800300.0002261.02021-03-3154
34682021-08-312021-01-0174131897804239393539568190800300.0000751.02021-03-3154
34692021-08-312021-02-01642183628614239393539568190800300.0004331.02021-03-3154
34702021-08-312021-03-01593405580494239393539568190800300.0009570.02021-03-3154
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390 rows × 12 columns

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" ], "text/plain": [ " month_end_date release_month months_after_release isrc_count streams \\\n", "3081 2021-04-30 2014-10-01 78 143 12889991 \n", "3082 2021-04-30 2014-11-01 77 165 18073874 \n", "3083 2021-04-30 2014-12-01 76 49 26307972 \n", "3084 2021-04-30 2015-01-01 75 52 677577 \n", "3085 2021-04-30 2015-02-01 74 44 5121460 \n", "... ... ... ... ... ... \n", "3466 2021-08-31 2020-11-01 9 120 46867954 \n", "3467 2021-08-31 2020-12-01 8 82 9583768 \n", "3468 2021-08-31 2021-01-01 7 41 3189780 \n", "3469 2021-08-31 2021-02-01 6 42 18362861 \n", "3470 2021-08-31 2021-03-01 5 93 40558049 \n", "\n", " Industry Streams SME Streams market_share six_month_segment \\\n", "3081 41375423110 6562605907 0.000312 13.0 \n", "3082 41375423110 6562605907 0.000437 12.0 \n", "3083 41375423110 6562605907 0.000636 12.0 \n", "3084 41375423110 6562605907 0.000016 12.0 \n", "3085 41375423110 6562605907 0.000124 12.0 \n", "... ... ... ... ... \n", "3466 42393935395 6819080030 0.001106 1.0 \n", "3467 42393935395 6819080030 0.000226 1.0 \n", "3468 42393935395 6819080030 0.000075 1.0 \n", "3469 42393935395 6819080030 0.000433 1.0 \n", "3470 42393935395 6819080030 0.000957 0.0 \n", "\n", " prediction_month months_after_pred match_pred_month \n", "3081 2021-03-31 1 0 \n", "3082 2021-03-31 1 0 \n", "3083 2021-03-31 1 0 \n", "3084 2021-03-31 1 0 \n", "3085 2021-03-31 1 0 \n", "... ... ... ... \n", "3466 2021-03-31 5 4 \n", "3467 2021-03-31 5 4 \n", "3468 2021-03-31 5 4 \n", "3469 2021-03-31 5 4 \n", "3470 2021-03-31 5 4 \n", "\n", "[390 rows x 12 columns]" ] }, "execution_count": 115, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new_combo['prediction_month'] = pred['month_end_date'][0]\n", "new_combo['months_after_pred'] = ((new_combo['month_end_date'].dt.to_period('M').astype(int))-(new_combo['prediction_month'].dt.to_period('M').astype(int)))\n", "new_combo['match_pred_month'] = new_combo['months_after_pred']-1\n", "new_combo" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_daterelease_monthmonths_after_releaseisrc_countstreamsIndustry StreamsSME Streamsmarket_sharesix_month_segmentprediction_monthmonths_after_predmatch_pred_monthadj_months_after_release
30812021-04-302014-10-0178143128899914137542311065626059070.00031213.02021-03-311078
30822021-04-302014-11-0177165180738744137542311065626059070.00043712.02021-03-311077
30832021-04-302014-12-017649263079724137542311065626059070.00063612.02021-03-311076
30842021-04-302015-01-0175526775774137542311065626059070.00001612.02021-03-311075
30852021-04-302015-02-01744451214604137542311065626059070.00012412.02021-03-311074
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34662021-08-312020-11-019120468679544239393539568190800300.0011061.02021-03-31545
34672021-08-312020-12-0188295837684239393539568190800300.0002261.02021-03-31544
34682021-08-312021-01-0174131897804239393539568190800300.0000751.02021-03-31543
34692021-08-312021-02-01642183628614239393539568190800300.0004331.02021-03-31542
34702021-08-312021-03-01593405580494239393539568190800300.0009570.02021-03-31541
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390 rows × 13 columns

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" ], "text/plain": [ " month_end_date release_month months_after_release isrc_count streams \\\n", "3081 2021-04-30 2014-10-01 78 143 12889991 \n", "3082 2021-04-30 2014-11-01 77 165 18073874 \n", "3083 2021-04-30 2014-12-01 76 49 26307972 \n", "3084 2021-04-30 2015-01-01 75 52 677577 \n", "3085 2021-04-30 2015-02-01 74 44 5121460 \n", "... ... ... ... ... ... \n", "3466 2021-08-31 2020-11-01 9 120 46867954 \n", "3467 2021-08-31 2020-12-01 8 82 9583768 \n", "3468 2021-08-31 2021-01-01 7 41 3189780 \n", "3469 2021-08-31 2021-02-01 6 42 18362861 \n", "3470 2021-08-31 2021-03-01 5 93 40558049 \n", "\n", " Industry Streams SME Streams market_share six_month_segment \\\n", "3081 41375423110 6562605907 0.000312 13.0 \n", "3082 41375423110 6562605907 0.000437 12.0 \n", "3083 41375423110 6562605907 0.000636 12.0 \n", "3084 41375423110 6562605907 0.000016 12.0 \n", "3085 41375423110 6562605907 0.000124 12.0 \n", "... ... ... ... ... \n", "3466 42393935395 6819080030 0.001106 1.0 \n", "3467 42393935395 6819080030 0.000226 1.0 \n", "3468 42393935395 6819080030 0.000075 1.0 \n", "3469 42393935395 6819080030 0.000433 1.0 \n", "3470 42393935395 6819080030 0.000957 0.0 \n", "\n", " prediction_month months_after_pred match_pred_month \\\n", "3081 2021-03-31 1 0 \n", "3082 2021-03-31 1 0 \n", "3083 2021-03-31 1 0 \n", "3084 2021-03-31 1 0 \n", "3085 2021-03-31 1 0 \n", "... ... ... ... \n", "3466 2021-03-31 5 4 \n", "3467 2021-03-31 5 4 \n", "3468 2021-03-31 5 4 \n", "3469 2021-03-31 5 4 \n", "3470 2021-03-31 5 4 \n", "\n", " adj_months_after_release \n", "3081 78 \n", "3082 77 \n", "3083 76 \n", "3084 75 \n", "3085 74 \n", "... ... \n", "3466 5 \n", "3467 4 \n", "3468 3 \n", "3469 2 \n", "3470 1 \n", "\n", "[390 rows x 13 columns]" ] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new_combo['adj_months_after_release'] = new_combo['months_after_release']-new_combo['months_after_pred']+1\n", "new_combo" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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month_end_dateadj_months_after_release2021-04-30 00:00:002021-05-31 00:00:002021-06-30 00:00:002021-07-31 00:00:002021-08-31 00:00:00
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78 rows × 6 columns

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" ], "text/plain": [ "month_end_date adj_months_after_release 2021-04-30 00:00:00 \\\n", "0 1 0.002423 \n", "1 2 0.001012 \n", "2 3 0.000095 \n", "3 4 0.000311 \n", "4 5 0.001429 \n", ".. ... ... \n", "73 74 0.000124 \n", "74 75 0.000016 \n", "75 76 0.000636 \n", "76 77 0.000437 \n", "77 78 0.000312 \n", "\n", "month_end_date 2021-05-31 00:00:00 2021-06-30 00:00:00 2021-07-31 00:00:00 \\\n", "0 0.001556 0.001285 0.001109 \n", "1 0.000713 0.000596 0.000474 \n", "2 0.000085 0.000080 0.000077 \n", "3 0.000273 0.000245 0.000229 \n", "4 0.001242 0.001112 0.001167 \n", ".. ... ... ... \n", "73 0.000125 0.000119 0.000117 \n", "74 0.000016 0.000016 0.000015 \n", "75 0.000791 0.000637 0.000605 \n", "76 0.000407 0.000377 0.000374 \n", "77 0.000294 0.000280 0.000271 \n", "\n", "month_end_date 2021-08-31 00:00:00 \n", "0 0.000957 \n", "1 0.000433 \n", "2 0.000075 \n", "3 0.000226 \n", "4 0.001106 \n", ".. ... \n", "73 0.000115 \n", "74 0.000015 \n", "75 0.000629 \n", "76 0.000361 \n", "77 0.000267 \n", "\n", "[78 rows x 6 columns]" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new_pivot = pd.pivot_table(new_combo, values='market_share', index=[\n", " 'adj_months_after_release'],\n", " columns='month_end_date', aggfunc=np.sum, fill_value=0)\n", "new_pivot = new_pivot.reset_index()\n", "new_pivot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The below needs manual updating each month (adding in aug_comp, sep_comp, etc)" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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42 rows × 26 columns

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2.582055e-05 4.289162e-05 \n", "18 0.000254 1.081967e-05 2.730795e-05 1.543420e-05 \n", "19 0.000234 2.574297e-06 1.376630e-05 2.794124e-05 \n", "20 0.000256 5.216340e-06 1.081874e-05 1.054019e-05 \n", "21 0.000550 -9.577679e-05 -4.593772e-05 1.099315e-05 \n", "22 0.000725 -1.129214e-05 -1.159761e-05 -7.504591e-05 \n", "23 0.000441 -2.347533e-05 -1.701832e-06 1.595396e-05 \n", "24 0.000175 -3.521533e-06 4.538438e-06 -8.265886e-07 \n", "25 0.000243 1.078187e-05 1.438274e-05 -8.480258e-06 \n", "26 0.000378 -4.632915e-05 -4.159011e-05 -2.546473e-05 \n", "27 0.000062 2.004599e-06 2.403824e-06 3.339743e-06 \n", "28 0.000366 -7.768248e-06 -9.427146e-07 1.415678e-05 \n", "29 0.000342 4.593016e-06 6.861798e-06 8.640625e-06 \n", "30 0.000401 3.627890e-06 1.256605e-05 9.680094e-06 \n", "31 0.000182 4.049423e-06 7.893766e-06 -3.645669e-05 \n", "32 0.000084 -1.688476e-06 -1.428575e-06 2.439265e-07 \n", "33 0.000175 -4.443273e-06 -2.532147e-06 -1.398843e-06 \n", "34 0.000109 4.331933e-06 7.776613e-06 1.043694e-05 \n", "35 0.000165 1.461627e-06 4.219574e-06 7.000264e-06 \n", "36 0.000221 -3.514792e-06 7.482840e-08 -1.382321e-05 \n", "37 0.000195 9.774529e-06 6.418187e-06 2.083708e-05 \n", "38 0.000058 -2.760467e-06 -1.368930e-06 1.118013e-07 \n", "39 0.000065 2.629673e-06 3.502396e-06 3.682537e-06 \n", "40 0.000127 1.492561e-06 2.288646e-06 5.163677e-06 \n", "41 0.000156 -7.049464e-07 -4.682807e-07 5.542225e-06 \n", "\n", " jul_comp \n", "0 3.340063e-05 \n", "1 2.767715e-04 \n", "2 -9.017115e-06 \n", "3 -5.865106e-06 \n", "4 -1.150535e-04 \n", "5 1.054963e-05 \n", "6 -4.721004e-07 \n", "7 -1.361782e-05 \n", "8 -1.375977e-04 \n", "9 2.972079e-05 \n", "10 1.867868e-05 \n", "11 2.862199e-05 \n", "12 1.241111e-05 \n", "13 1.096218e-05 \n", "14 -1.866366e-05 \n", "15 1.329042e-04 \n", "16 1.991841e-05 \n", "17 3.953928e-05 \n", "18 6.448792e-06 \n", "19 3.171547e-05 \n", "20 1.264836e-05 \n", "21 3.747980e-05 \n", "22 -4.987053e-05 \n", "23 -1.116876e-05 \n", "24 -4.632281e-06 \n", "25 -3.136734e-05 \n", "26 -1.203634e-05 \n", "27 3.204858e-06 \n", "28 2.990926e-06 \n", "29 -1.419616e-06 \n", "30 1.632042e-05 \n", "31 -1.020585e-04 \n", "32 9.904039e-07 \n", "33 3.538718e-06 \n", "34 1.016712e-05 \n", "35 -3.546030e-06 \n", "36 -1.505180e-05 \n", "37 2.777695e-05 \n", "38 1.653076e-07 \n", "39 4.629110e-06 \n", "40 -2.120819e-05 \n", "41 4.199690e-06 \n", "\n", "[42 rows x 26 columns]" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new_pivot.columns = new_pivot.columns.astype(\"str\")\n", "comp = pred.merge(new_pivot, on='adj_months_after_release')\n", "comp['apr_comp'] = comp[0]-comp['2021-04-30 00:00:00']\n", "comp['may_comp'] = comp[1]-comp['2021-05-31 00:00:00']\n", "comp['jun_comp'] = comp[2]-comp['2021-06-30 00:00:00']\n", "comp['jul_comp'] = comp[3]-comp['2021-07-31 00:00:00']\n", "# ADD AUGUST HERE\n", "comp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Renaming columns for clarity. HOWEVER, if you run this for different months (not April-March) you will need to change the labels below to match" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [], "source": [ "comp = comp.rename(columns={0:'apr_pred',1:'may_pred',2:'jun_pred',3:'jul_pred',4:'aug_pred',5:'sep_pred',\n", " 6:'oct_pred',7:'nov_pred',8:'dec_pred',9:'jan_pred',10:'feb_pred',11:'mar_pred',\n", " '2021-04-30 00:00:00':'apr_actual','2021-05-31 00:00:00':'may_actual',\n", " '2021-06-30 00:00:00':'jun_actual','2021-07-31 00:00:00':'jul_actual'})\n", "# NEED TO MANUALLY ADD NEXT MONTH RENAME" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [], "source": [ "comp.to_excel('epic_preds_v_actuals.xlsx')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Here are 6 month segment rolled-up results" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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apr_predmay_predjun_predjul_predaug_predsep_predoct_prednov_preddec_predjan_pred...market_shareapr_actualmay_actualjun_actualjul_actual2021-08-31 00:00:00apr_compmay_compjun_compjul_comp
six_month_segment
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7 rows × 24 columns

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" ], "text/plain": [ " apr_pred may_pred jun_pred jul_pred aug_pred sep_pred \\\n", "six_month_segment \n", "0.0 0.005164 0.004525 0.004042 0.003667 0.003351 0.003084 \n", "1.0 0.004124 0.003866 0.003649 0.003446 0.003230 0.003032 \n", "2.0 0.003262 0.003064 0.002887 0.002740 0.002611 0.002495 \n", "3.0 0.002861 0.002767 0.002683 0.002582 0.002471 0.002365 \n", "4.0 0.001802 0.001726 0.001657 0.001597 0.001543 0.001497 \n", "5.0 0.001200 0.001170 0.001144 0.001110 0.001087 0.001059 \n", "6.0 0.000910 0.000880 0.000847 0.000826 0.000802 0.000782 \n", "\n", " oct_pred nov_pred dec_pred jan_pred ... market_share \\\n", "six_month_segment ... \n", "0.0 0.002857 0.002664 0.002506 0.002360 ... 0.005025 \n", "1.0 0.002847 0.002680 0.002521 0.002394 ... 0.004444 \n", "2.0 0.002398 0.002318 0.002252 0.002177 ... 0.003473 \n", "3.0 0.002269 0.002174 0.002081 0.002008 ... 0.002975 \n", "4.0 0.001460 0.001429 0.001408 0.001367 ... 0.001881 \n", "5.0 0.001037 0.001012 0.000965 0.000944 ... 0.001235 \n", "6.0 0.000768 0.000759 0.000750 0.000733 ... 0.000930 \n", "\n", " apr_actual may_actual jun_actual jul_actual \\\n", "six_month_segment \n", "0.0 0.005828 0.004364 0.003756 0.003477 \n", "1.0 0.004242 0.003976 0.003660 0.003520 \n", "2.0 0.003182 0.002941 0.002759 0.002543 \n", "3.0 0.002973 0.002774 0.002678 0.002555 \n", "4.0 0.001842 0.001741 0.001666 0.001640 \n", "5.0 0.001192 0.001142 0.001155 0.001185 \n", "6.0 0.000903 0.000870 0.000826 0.000825 \n", "\n", " 2021-08-31 00:00:00 apr_comp may_comp jun_comp \\\n", "six_month_segment \n", "0.0 0.003191 -0.000664 0.000162 0.000286 \n", "1.0 0.003261 -0.000118 -0.000110 -0.000011 \n", "2.0 0.002381 0.000080 0.000123 0.000129 \n", "3.0 0.002460 -0.000112 -0.000007 0.000006 \n", "4.0 0.001566 -0.000040 -0.000014 -0.000009 \n", "5.0 0.001117 0.000007 0.000028 -0.000010 \n", "6.0 0.000822 0.000007 0.000010 0.000022 \n", "\n", " jul_comp \n", "six_month_segment \n", "0.0 1.907860e-04 \n", "1.0 -7.466617e-05 \n", "2.0 1.970715e-04 \n", "3.0 2.725312e-05 \n", "4.0 -4.325980e-05 \n", "5.0 -7.458783e-05 \n", "6.0 5.110590e-07 \n", "\n", "[7 rows x 24 columns]" ] }, "execution_count": 120, "metadata": {}, "output_type": "execute_result" } ], "source": [ "comp.groupby('six_month_segment').sum()" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [], "source": [ "comp.groupby('six_month_segment').sum().to_excel('columbia_preds_v_actuals_aug.xlsx')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Here is the total market share for the frontline label for each month" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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apr_predmay_predjun_predjul_predaug_predsep_predoct_prednov_preddec_predjan_pred...six_month_segmentapr_actualmay_actualjun_actualjul_actual2021-08-31 00:00:00apr_compmay_compjun_compjul_comp
month_end_date
2021-03-310.0166520.0155580.0146490.0138350.013120.0124870.0119340.011420.0109690.010537...126.00.0163450.0150850.0140460.0133440.0127280.0003070.0004740.0006030.000492
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1 rows × 25 columns

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" ], "text/plain": [ " apr_pred may_pred jun_pred jul_pred aug_pred sep_pred \\\n", "month_end_date \n", "2021-03-31 0.016652 0.015558 0.014649 0.013835 0.01312 0.012487 \n", "\n", " oct_pred nov_pred dec_pred jan_pred ... \\\n", "month_end_date ... \n", "2021-03-31 0.011934 0.01142 0.010969 0.010537 ... \n", "\n", " six_month_segment apr_actual may_actual jun_actual \\\n", "month_end_date \n", "2021-03-31 126.0 0.016345 0.015085 0.014046 \n", "\n", " jul_actual 2021-08-31 00:00:00 apr_comp may_comp jun_comp \\\n", "month_end_date \n", "2021-03-31 0.013344 0.012728 0.000307 0.000474 0.000603 \n", "\n", " jul_comp \n", "month_end_date \n", "2021-03-31 0.000492 \n", "\n", "[1 rows x 25 columns]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total = comp.groupby('month_end_date').sum()\n", "total" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The below is how Neil calculates accuracy¶\n", "### Repeat this for every month\n", "The result is a %, so present it as 96% accurate for example" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "total['apr_accuracy']=total['apr_pred']/total['apr_actual']\n", "total" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The below is how Chad calculates accuracy (variance)\n", "### Repeat this for every month\n", "The result is a %, so present it as 4% variance for example" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "total['apr_var']=(total['apr_actual']/total['apr_pred'])-1\n", "total" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }