Magnetic Model Comparison¶
This notebook compares the CHAOS-6-Core models evaluated by two different implementations:
- eoxmagmod (used by VirES)
- chaosmagpy (reference Python implementation)
This version of the notebook corrects the error caused by the different decimal year/MJD2000 conversions:
The
eoxmagmodlibrary converts the decimal year to MJD2000 so that a whole decimal year is always aligned with the midnight 1st of January.The
chaosmagpycalculates the MJD2000 as $t_\text{MJD200} = 365.25 \times (t_\text{decimal year} - 2000)$
This version redefines the eoxmagmod model to use the same conversion as the chaosmagpy package.
In addition this version also evaluates values between the interpolation nodes.
In [1]:
from numpy import asarray
def decimal_year_to_mjd2000(decimal_year):
return (asarray(decimal_year) - 2000) * 365.25
def mjd2000_to_decimal_year(mjd2000):
return 2000.0 + asarray(mjd2000) / 365.25
1) load SHC model file¶
In [2]:
from os.path import basename
from eoxmagmod.data import CHAOS6_CORE_LATEST
print(basename(CHAOS6_CORE_LATEST))
print(open(CHAOS6_CORE_LATEST).read())
CHAOS-6-x7_core.shc
# CHAOS-6-x7 core field model
# Based on model iteration_1 of CF_CHAOS_09d_18.mat
# extracted on 09-Oct-2018 12:11:25
1 20 221 6 5
1997.1020 1997.2019 1997.3018 1997.4018 1997.5017 1997.6016 1997.7016 1997.8015 1997.9014 1998.0014 1998.1013 1998.2012 1998.3012 1998.4011 1998.5010 1998.6010 1998.7009 1998.8008 1998.9008 1999.0007 1999.1006 1999.2005 1999.3005 1999.4004 1999.5003 1999.6003 1999.7008 1999.8012 1999.9017 2000.0022 2000.1027 2000.2026 2000.3025 2000.4025 2000.5024 2000.6023 2000.7023 2000.8022 2000.9021 2001.0021 2001.1020 2001.2019 2001.3018 2001.4018 2001.5017 2001.6016 2001.7016 2001.8015 2001.9014 2002.0014 2002.1013 2002.2012 2002.3012 2002.4011 2002.5010 2002.6010 2002.7009 2002.8008 2002.9008 2003.0007 2003.1006 2003.2005 2003.3005 2003.4004 2003.5003 2003.6003 2003.7008 2003.8012 2003.9017 2004.0022 2004.1027 2004.2026 2004.3025 2004.4025 2004.5024 2004.6023 2004.7023 2004.8022 2004.9021 2005.0021 2005.1020 2005.2019 2005.3018 2005.4018 2005.5017 2005.6016 2005.7016 2005.8015 2005.9014 2006.0014 2006.1013 2006.2012 2006.3012 2006.4011 2006.5010 2006.6010 2006.7009 2006.8008 2006.9008 2007.0007 2007.1006 2007.2005 2007.3005 2007.4004 2007.5003 2007.6003 2007.7008 2007.8012 2007.9017 2008.0022 2008.1027 2008.2026 2008.3025 2008.4025 2008.5024 2008.6023 2008.7023 2008.8022 2008.9021 2009.0021 2009.1020 2009.2019 2009.3018 2009.4018 2009.5017 2009.6016 2009.7016 2009.8015 2009.9014 2010.0014 2010.1013 2010.2012 2010.3012 2010.4011 2010.5010 2010.6010 2010.7009 2010.8008 2010.9008 2011.0007 2011.1006 2011.2005 2011.3005 2011.4004 2011.5003 2011.6003 2011.7008 2011.8012 2011.9017 2012.0022 2012.1027 2012.2026 2012.3025 2012.4025 2012.5024 2012.6023 2012.7023 2012.8022 2012.9021 2013.0021 2013.1020 2013.2019 2013.3018 2013.4018 2013.5017 2013.6016 2013.7016 2013.8015 2013.9014 2014.0014 2014.1013 2014.2012 2014.3012 2014.4011 2014.5010 2014.6010 2014.7009 2014.8008 2014.9008 2015.0007 2015.1006 2015.2005 2015.3005 2015.4004 2015.5003 2015.6003 2015.7008 2015.8012 2015.9017 2016.0022 2016.1027 2016.2026 2016.3025 2016.4025 2016.5024 2016.6023 2016.7023 2016.8022 2016.9021 2017.0021 2017.1020 2017.2019 2017.3018 2017.4018 2017.5017 2017.6016 2017.7016 2017.8015 2017.9014 2018.0014 2018.1013 2018.2012 2018.3012 2018.4011 2018.5010 2018.6010 2018.7009 2018.8008 2018.9008 2019.0007 2019.1006
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3 2 1251.64572608 1251.77560377 1251.89970399 1252.01778619 1252.12959423 1252.23486935 1252.33336300 1252.42484838 1252.50912859 1252.58604348 1252.65547640 1252.71736068 1252.77167763 1252.81843319 1252.85762603 1252.88921548 1252.91308956 1252.92903884 1252.93674486 1252.93577445 1252.92557409 1252.90546558 1252.87467168 1252.83241803 1252.77806515 1252.71124156 1252.63150717 1252.53971348 1252.43683282 1252.32420018 1252.20342145 1252.07698852 1251.94610708 1251.81262191 1251.67829489 1251.54472081 1251.41324376 1251.28489066 1251.16034818 1251.03995680 1250.92370547 1250.81122720 1250.70181852 1250.59451922 1250.48821600 1250.38174697 1250.27400598 1250.16404115 1250.05113893 1249.93490240 1249.81532933 1249.69288810 1249.56853622 1249.44359349 1249.31955775 1249.19791851 1249.07997228 1248.96668353 1248.85866131 1248.75618152 1248.65921088 1248.56743104 1248.48026515 1248.39691096 1248.31637633 1248.23751488 1248.15863033 1248.07878379 1247.99653489 1247.91039662 1247.81885435 1247.72094332 1247.61470224 1247.49872215 1247.37172218 1247.23260851 1247.08053262 1246.91493339 1246.73553793 1246.54234616 1246.33561483 1246.11584071 1245.88372423 1245.64008336 1245.38574792 1245.12145310 1244.84773476 1244.56487031 1244.27293527 1243.97190538 1243.66176051 1243.34258769 1243.01466155 1242.67846755 1242.33470262 1241.98427497 1241.62830330 1241.26810126 1240.90512449 1240.54090283 1240.17697209 1239.81480596 1239.45575579 1239.10100998 1238.75156103 1238.40817302 1238.06952279 1237.73774397 1237.41283272 1237.09460658 1236.78276518 1236.47860171 1236.18004715 1235.88679382 1235.59862079 1235.31543549 1235.03731474 1234.76453017 1234.49753390 1234.23692870 1233.98343742 1233.73787178 1233.50108093 1233.27384897 1233.05677236 1232.85013651 1232.65379455 1232.46710133 1232.28898780 1232.11809058 1231.95288380 1231.79180985 1231.63338621 1231.47625121 1231.31918575 1231.16113410 1231.00122446 1230.83878288 1230.67333032 1230.50457315 1230.33239336 1230.15683904 1229.97812292 1229.79664097 1229.61299906 1229.42803992 1229.24185582 1229.05683759 1228.87451867 1228.69644502 1228.52403273 1228.35930961 1228.20207793 1228.05271599 1227.91124482 1227.77735224 1227.65041765 1227.52955450 1227.41369740 1227.30170692 1227.19247506 1227.08502998 1226.97862171 1226.87275948 1226.76723004 1226.66211528 1226.55780922 1226.45502048 1226.35473792 1226.25818162 1226.16675342 1226.08198689 1226.00548536 1225.93882946 1225.88347259 1225.84063604 1225.81120529 1225.79566052 1225.79409380 1225.80626031 1225.83163099 1225.86944516 1225.91876572 1225.97854037 1226.04766530 1226.12504905 1226.21015785 1226.30168880 1226.39890251 1226.50124000 1226.60834129 1226.71944197 1226.83518384 1226.95579899 1227.08161224 1227.21297193 1227.35018199 1227.49347061 1227.64305144 1227.79922131 1227.96245939 1228.13352352 1228.31347502 1228.50352200 1228.70479098 1228.91809584 1229.14371067 1229.38124377 1229.62976841 1229.88805480 1230.15480593 1230.42889055 1230.70950168 1230.99612609 1231.28843935 1231.58619790 1231.88913268 1232.19687829 1232.50899294 1232.82501403 1233.14451520
3 -2 302.44971903 302.22059904 301.98610956 301.74602605 301.50012210 301.24819000 300.99006109 300.72562205 300.45482047 300.17766636 299.89423346 299.60466007 299.30913855 299.00787579 298.70104227 298.38872077 298.07085595 297.74723106 297.41751280 297.08132333 296.73831309 296.38823352 296.03100217 295.66674880 295.29585395 294.91898729 294.53504036 294.14739598 293.75758008 293.36713333 292.97743160 292.59161639 292.20811607 291.82702339 291.44801481 291.07039864 290.69316340 290.31503261 289.93453600 289.55008718 289.16006154 288.76287458 288.35707117 287.94144258 287.51515453 287.07787550 286.62990192 286.17219687 285.70620994 285.23361060 284.75601840 284.27473654 283.79057419 283.30389434 282.81475032 282.32302583 281.82857351 281.33131604 280.83125214 280.32842520 279.82289035 279.31468219 278.80379744 278.29021532 277.77393300 277.25500146 276.73069704 276.20410478 275.67554488 275.14535331 274.61382546 274.08406666 273.55326100 273.02141588 272.48854658 271.95475518 271.42030826 270.88568216 270.35152602 269.81859237 269.28766653 268.75949703 268.23475403 267.71405857 267.19803995 266.68739397 266.18294014 265.68564829 265.19658760 264.71684509 264.24744292 263.78925627 263.34294513 262.90892174 262.48733199 262.07803734 261.68059778 261.29428173 260.91814409 260.55113125 260.19218711 259.84035814 259.49487416 259.15516728 258.82086654 258.49179165 258.16618589 257.84602544 257.53153255 257.22287633 256.92005527 256.62438797 256.33359224 256.04681800 255.76313990 255.48171817 255.20195735 254.92361127 254.64675127 254.37168063 254.09884688 253.82875441 253.56188402 253.29862999 253.03924417 252.78378024 252.53203927 252.28354726 252.03761395 251.79342363 251.55012720 251.30693382 251.06319293 250.81845166 250.57250256 250.32543096 250.07766078 249.82996011 249.58334444 249.33893971 249.09784378 248.86098986 248.62906052 248.40253032 248.18175907 247.96708698 247.75780676 247.55566698 247.36132027 247.17544261 246.99865771 246.83234657 246.67582938 246.52922768 246.39248629 246.26538452 246.14754776 246.03846843 245.93755097 245.84416619 245.75770601 245.67763745 245.60353753 245.53507959 245.47200052 245.41406722 245.36104363 245.31267089 245.26868120 245.22882480 245.19289751 245.16076769 245.13238750 245.10776460 245.08691807 245.06983390 245.05642093 245.04648218 245.03972490 245.03578599 245.03425796 245.03471464 245.03672965 245.03987661 245.04372206 245.04781822 245.05171529 245.05488213 245.05676360 245.05674185 245.05411987 245.04814924 245.03795547 245.02263651 245.00133034 244.97328987 244.93795703 244.89501383 244.84437537 244.78615987 244.72065780 244.64830125 244.56963649 244.48530521 244.39602903 244.30259412 244.20583553 244.10661083 244.00574723 243.90397802 243.80187871 243.69980439 243.59786054 243.49595839 243.39390385 243.29148753 243.18857356 243.08515394 242.98131564 242.87717315 242.77279990
3 3 742.54343467 741.59965140 740.65164233 739.69923899 738.74226876 737.78055282 736.81390442 735.84213546 734.86508405 733.88265033 732.89483264 731.90176327 730.90373429 729.90119803 728.89475761 727.88515713 726.87327168 725.86009412 724.84671360 723.83429081 722.82403315 721.81717003 720.81493306 719.81854843 718.82923420 717.84819771 716.87133705 715.90523172 714.95096952 714.00947115 713.08141477 712.17210634 711.27645038 710.39411474 709.52448791 708.66673181 707.81983445 706.98265907 706.15398445 705.33254161 704.51705045 703.70625660 702.89897418 702.09414370 701.29089579 700.48861527 699.68700381 698.88610828 698.08626160 697.28798938 696.49191508 695.69866563 694.90878638 694.12267996 693.34055455 692.56237249 691.78779972 691.01617695 690.24654580 689.47769675 688.70821780 687.93654333 687.16100549 686.37989212 685.59150729 684.79423192 683.98212800 683.15823701 682.32153417 681.47134488 680.60741860 679.73481848 678.84964479 677.95316205 677.04706452 676.13341138 675.21456156 674.29310058 673.37174696 672.45325065 671.54029105 670.63537621 669.74076851 668.85847814 667.99028315 667.13775060 666.30225700 665.48499313 664.68692878 663.90876182 663.15086664 662.41324337 661.69548739 660.99681047 660.31608215 659.65187199 659.00249146 658.36603006 657.74037629 657.12323273 656.51213089 655.90444669 655.29743275 654.68829305 654.07427442 653.45275865 652.81786270 652.17083707 651.50985773 650.83339245 650.14018354 649.43315475 648.70782994 647.96369755 647.20047737 646.41811876 645.61679842 644.79690626 643.95900128 643.10375554 642.23189764 641.34415697 640.44122465 639.52375735 638.59239782 637.64779618 636.69063079 635.72161970 634.74150836 633.75104780 632.75097261 631.74197912 630.72471395 629.69978817 628.66780176 627.62936839 626.58513992 625.53582339 624.48217883 623.42500957 622.36515223 621.30346646 620.24081736 619.17803951 618.11589368 617.05502323 615.99011356 614.92728780 613.86669946 612.80840425 611.75241562 610.70449526 609.65895615 608.61591063 607.57548169 606.53777459 605.50284869 604.47069506 603.44122890 602.41428775 601.38962995 600.36693312 599.34579534 598.32574283 597.30624022 596.28670093 595.26649748 594.24497041 593.22143332 592.19517660 591.16547101 590.13157210 589.09274507 588.04834173 586.99789794 585.94123179 584.87853996 583.81044476 582.73791606 581.66214396 580.58440960 579.50595670 578.42788454 577.35109510 576.27626156 575.20379763 574.12797148 573.05448882 571.98291257 570.91261286 569.84283462 568.77859895 567.71328757 566.64619702 565.57678262 564.50473290 563.43004205 562.35302780 561.27421109 560.19414121 559.11321887 558.03152222 556.94870974 555.86411825 554.77693787 553.68638981 552.59190195 551.49322416 550.39039080 549.28362293 548.17322830 547.05950240 545.94265923 544.82283725 543.70013504 542.57464803 541.44650476 540.31588879 539.18302436 538.04814776 536.91147811
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7 -3 5.63277470 5.65754965 5.68224213 5.70684903 5.73136735 5.75579399 5.78012541 5.80435747 5.82848540 5.85250382 5.87640680 5.90018787 5.92384002 5.94735561 5.97072612 5.99394204 6.01699267 6.03986600 6.06254878 6.08502667 6.10728435 6.12930563 6.15107364 6.17257092 6.19377958 6.21468145 6.23537002 6.25571135 6.27568733 6.29528078 6.31447587 6.33315739 6.35141945 6.36925286 6.38665098 6.40360993 6.42012869 6.43620930 6.45185685 6.46707955 6.48188871 6.49629877 6.51032717 6.52399391 6.53732089 6.55033136 6.56304927 6.57549862 6.58770258 6.59968261 6.61145756 6.62304273 6.63444924 6.64568420 6.65675097 6.66764964 6.67837733 6.68892859 6.69929545 6.70946761 6.71943246 6.72917522 6.73867907 6.74792564 6.75689550 6.76556867 6.77397007 6.78203155 6.78973437 6.79706127 6.80399700 6.81049430 6.81658233 6.82225435 6.82750679 6.83233934 6.83675502 6.84076021 6.84436422 6.84757879 6.85041754 6.85289546 6.85502836 6.85683247 6.85832400 6.85951867 6.86043133 6.86107558 6.86146353 6.86160561 6.86151040 6.86118446 6.86063210 6.85985519 6.85885284 6.85762117 6.85615306 6.85443787 6.85246122 6.85020483 6.84764627 6.84475880 6.84151139 6.83786942 6.83379555 6.82925067 6.82416563 6.81852344 6.81228469 6.80541213 6.79787172 6.78968058 6.78077523 6.77113685 6.76075215 6.74961353 6.73771924 6.72507342 6.71168586 6.69757166 6.68275091 6.66724834 6.65109291 6.63431740 6.61695783 6.59905305 6.58064416 6.56177412 6.54248766 6.52283121 6.50285286 6.48260234 6.46213084 6.44149056 6.42073407 6.39991369 6.37908092 6.35828581 6.33757642 6.31699838 6.29659431 6.27640333 6.25646072 6.23679774 6.21744165 6.19841572 6.17963786 6.16122870 6.14319943 6.12555683 6.10830312 6.09152667 6.07512516 6.05908654 6.04339390 6.02802543 6.01295436 5.99814893 5.98357226 5.96918214 5.95493096 5.94076548 5.92662662 5.91244897 5.89816019 5.88368045 5.86892182 5.85378794 5.83817401 5.82196718 5.80504671 5.78728437 5.76854509 5.74868882 5.72757276 5.70505365 5.68098998 5.65524415 5.62768413 5.59818502 5.56663056 5.53291471 5.49694305 5.45863419 5.41792092 5.37475154 5.32883395 5.28038028 5.22939094 5.17588402 5.11989498 5.06180111 5.00137170 4.93868927 4.87384976 4.80696099 4.73814126 4.66751755 4.59522328 4.52139573 4.44617350 4.36969395 4.29209080 4.21349222 4.13401894 4.05378256 3.97288368 3.89141071 3.80943991 3.72703602 3.64425285 3.56113391 3.47771336 3.39401782 3.31006839 3.22588282 3.14147755 3.05686927 2.97207516 2.88711249 2.80199832
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7 -4 22.94580349 22.98652629 23.02708334 23.06746819 23.10767454 23.14769594 23.18752561 23.22715622 23.26658001 23.30578888 23.34477460 23.38352892 23.42204377 23.46031138 23.49832446 23.53607632 23.57356110 23.61077385 23.64771079 23.68436952 23.72074919 23.75685075 23.79267708 23.82823297 23.86352506 23.89856171 23.93354294 23.96828789 24.00280987 24.03712357 24.07124496 24.10500665 24.13861291 24.17208226 24.20543357 24.23868568 24.27185709 24.30496550 24.33802708 24.37105567 24.40406196 24.43705264 24.47002977 24.50299024 24.53592549 24.56882113 24.60165665 24.63440547 24.66703588 24.69951248 24.73179752 24.76385227 24.79563809 24.82711668 24.85825001 24.88900025 24.91932969 24.94920063 24.97857524 25.00741532 25.03568214 25.06333623 25.09033725 25.11664416 25.14221533 25.16700885 25.19111166 25.21434309 25.23666109 25.25802466 25.27839441 25.29763048 25.31581239 25.33290880 25.34889157 25.36373609 25.37742162 25.38993152 25.40125312 25.41137751 25.42029932 25.42801653 25.43453021 25.43984452 25.44396659 25.44690649 25.44867719 25.44929454 25.44877742 25.44714795 25.44443165 25.44065765 25.43585879 25.43007134 25.42333476 25.41569133 25.40718582 25.39786526 25.38777876 25.37697742 25.36551431 25.35344429 25.34082386 25.32771050 25.31416198 25.30023560 25.28590859 25.27131147 25.25649750 25.24151801 25.22642243 25.21134106 25.19623695 25.18115345 25.16613233 25.15121390 25.13643712 25.12183966 25.10745807 25.09332786 25.07948358 25.06595898 25.05278689 25.03999868 25.02762353 25.01568768 25.00421372 24.99322001 24.98272055 24.97272502 24.96323882 24.95426314 24.94579490 24.93782657 24.93034590 24.92333568 24.91677343 24.91063132 24.90487636 24.89947081 24.89437246 24.88953510 24.88490896 24.88044165 24.87607923 24.87176722 24.86742792 24.86303160 24.85852639 24.85386202 24.84898977 24.84389115 24.83849531 24.83275901 24.82664081 24.82010133 24.81310334 24.80561206 24.79759542 24.78902441 24.77987341 24.77012056 24.75974799 24.74874193 24.73709281 24.72479525 24.71184812 24.69825459 24.68402218 24.66916274 24.65369256 24.63763235 24.62100708 24.60384532 24.58617831 24.56803911 24.54946169 24.53048031 24.51112949 24.49144423 24.47146019 24.45121398 24.43074303 24.41008480 24.38927570 24.36834999 24.34722335 24.32603759 24.30481598 24.28357800 24.26233957 24.24122906 24.22014032 24.19908006 24.17805205 24.15705706 24.13609282 24.11515413 24.09423343 24.07332154 24.05240840 24.03148380 24.01053795 23.98956162 23.96854610 23.94748314 23.92636498 23.90518432 23.88393470 23.86261083 23.84120905 23.81972770 23.79816731 23.77653029 23.75482041 23.73304230 23.71120089 23.68930107 23.66734761 23.64534525 23.62329883
7 5 5.17744469 5.24043417 5.30321180 5.36576918 5.42809790 5.49018943 5.55203503 5.61362575 5.67495253 5.73600640 5.79677867 5.85726111 5.91744609 5.97732657 6.03689603 6.09614840 6.15507798 6.21367938 6.27194752 6.32987756 6.38746489 6.44470514 6.50159413 6.55812794 6.61430293 6.67011581 6.72586651 6.78124572 6.83625141 6.89088204 6.94513658 6.99872191 7.05193474 7.10477583 7.15724683 7.20935053 7.26109100 7.31247382 7.36350620 7.41419707 7.46455721 7.51459936 7.56433830 7.61379089 7.66297611 7.71191505 7.76063094 7.80914910 7.85749669 7.90570243 7.95379627 8.00180908 8.04977234 8.09771772 8.14567668 8.19368002 8.24175747 8.28993730 8.33824584 8.38670715 8.43534253 8.48417015 8.53320458 8.58245619 8.63193046 8.68162740 8.73181489 8.78220806 8.83278647 8.88352208 8.93437893 8.98503517 9.03571607 9.08636237 9.13690784 9.18727988 9.23740028 9.28718589 9.33654955 9.38540105 9.43364805 9.48119707 9.52795442 9.57382713 9.61872381 9.66255559 9.70523698 9.74668681 9.78682926 9.82559487 9.86292157 9.89875576 9.93305319 9.96577967 9.99691159 10.02643652 10.05435370 10.08067435 10.10542117 10.12862754 10.15033672 10.17060112 10.18948142 10.20704567 10.22336839 10.23852961 10.25268830 10.26584802 10.27810147 10.28954355 10.30027054 10.31032575 10.31986460 10.32898074 10.33776525 10.34630525 10.35468276 10.36297355 10.37124639 10.37956251 10.38797493 10.39652794 10.40525657 10.41418636 10.42333327 10.43270347 10.44229325 10.45208898 10.46206711 10.47219439 10.48242797 10.49271553 10.50299561 10.51319814 10.52324515 10.53305148 10.54252551 10.55156980 10.56008181 10.56795444 10.57507678 10.58133462 10.58661120 10.59078782 10.59374455 10.59536093 10.59551323 10.59406737 10.59090379 10.58590573 10.57896023 10.57001396 10.55893365 10.54562490 10.53000035 10.51198046 10.49149417 10.46847957 10.44288455 10.41466735 10.38379711 10.35025449 10.31403218 10.27513544 10.23358261 10.18940561 10.14265041 10.09337745 10.04166164 9.98759229 9.93127301 9.87282163 9.81236964 9.75006053 9.68604777 9.62049266 9.55356230 9.48542756 9.41626132 9.34623687 9.27552617 9.20429829 9.13271777 9.06094336 8.98912676 8.91741143 8.84554055 8.77403303 8.70300331 8.63255454 8.56277840 8.49412895 8.42629144 8.35932264 8.29326957 8.22817038 8.16405529 8.10094731 8.03886269 7.97781119 7.91779633 7.85881571 7.80086127 7.74391953 7.68797195 7.63299513 7.57896115 7.52583791 7.47358983 7.42217862 7.37156400 7.32170451 7.27255812 7.22408255 7.17623539 7.12897425 7.08225698 7.03604168 6.99028666 6.94495028 6.89999082
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9 -2 13.69038920 13.68117849 13.67193949 13.66267109 13.65337216 13.64404158 13.63467822 13.62528095 13.61584861 13.60638002 13.59687396 13.58732921 13.57774447 13.56811844 13.55844977 13.54873707 13.53897896 13.52917402 13.51932081 13.50941792 13.49946391 13.48945741 13.47939703 13.46928145 13.45910938 13.44887960 13.43853439 13.42812851 13.41766090 13.40713049 13.39653621 13.38593523 13.37526887 13.36453590 13.35373499 13.34286466 13.33192326 13.32090892 13.30981955 13.29865279 13.28740602 13.27607632 13.26466045 13.25315484 13.24155561 13.22985855 13.21805911 13.20615244 13.19413329 13.18199608 13.16973482 13.15734312 13.14481415 13.13214068 13.11931509 13.10632940 13.09317528 13.07984411 13.06632702 13.05261493 13.03869869 13.02456910 13.01021698 12.99563329 12.98080915 12.96573599 12.95032082 12.93463762 12.91867891 12.90243774 12.88590772 12.86917552 12.85214673 12.83481682 12.81718184 12.79923840 12.78098367 12.76241536 12.74353175 12.72433179 12.70481506 12.68498190 12.66483341 12.64437145 12.62359864 12.60251835 12.58113469 12.55945252 12.53747736 12.51521541 12.49267349 12.46985899 12.44677987 12.42344458 12.39986203 12.37604158 12.35199297 12.32772634 12.30325222 12.27858160 12.25372599 12.22869743 12.20350860 12.17817272 12.15270360 12.12711555 12.10128239 12.07535955 12.04936300 12.02330903 11.99721419 11.97123757 11.94525361 11.91927886 11.89332983 11.86742289 11.84157422 11.81579970 11.79011494 11.76453521 11.73907543 11.71375017 11.68857359 11.66355941 11.63872082 11.61407044 11.58962028 11.56538164 11.54136518 11.51758093 11.49403832 11.47074627 11.44771315 11.42494684 11.40245480 11.38024400 11.35832105 11.33669213 11.31536308 11.29433938 11.27362617 11.25322828 11.23315025 11.21339631 11.19397040 11.17487616 11.15601509 11.13749587 11.11932138 11.10149431 11.08401720 11.06698484 11.05030339 11.03397515 11.01800245 11.00238762 10.98713308 10.97224132 10.95771494 10.94355666 10.92976937 10.91635612 10.90332017 10.89066497 10.87839425 10.86651200 10.85502249 10.84393031 10.83324033 10.82295765 10.81308760 10.80363567 10.79460748 10.78600874 10.77784522 10.77012268 10.76284685 10.75602339 10.74965779 10.74375539 10.73832127 10.73336020 10.72887663 10.72487453 10.72135738 10.71832802 10.71577603 10.71372075 10.71216274 10.71110173 10.71053656 10.71046428 10.71087758 10.71177264 10.71314463 10.71498766 10.71729473 10.72005768 10.72326728 10.72691335 10.73098483 10.73546993 10.74035622 10.74563065 10.75127969 10.75728931 10.76364508 10.77033221 10.77733564 10.78464019 10.79223062 10.80009173 10.80820847 10.81656587 10.82514906 10.83394312 10.84293313 10.85210405 10.86144080 10.87092828 10.88055141
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9 -9 4.02439926 4.05180679 4.07918129 4.10652141 4.13382586 4.16109330 4.18832242 4.21551194 4.24266056 4.26976703 4.29683009 4.32384855 4.35082122 4.37774696 4.40462462 4.43145310 4.45823129 4.48495809 4.51163241 4.53825317 4.56481933 4.59132984 4.61778372 4.64417999 4.67051771 4.69679599 4.72315746 4.74945712 4.77569418 4.80186787 4.82797747 4.85388053 4.87971888 4.90549190 4.93119903 4.95683972 4.98241347 5.00791983 5.03335838 5.05872872 5.08403056 5.10926361 5.13442767 5.15952259 5.18454825 5.20950459 5.23439156 5.25920911 5.28395722 5.30863580 5.33324467 5.35778356 5.38225207 5.40664964 5.43097559 5.45522912 5.47940927 5.50351496 5.52754501 5.55149810 5.57537278 5.59916752 5.62288066 5.64651045 5.67005506 5.69351257 5.71700882 5.74041299 5.76372298 5.78693666 5.81005187 5.83294126 5.85572887 5.87841245 5.90098973 5.92345837 5.94581598 5.96806011 5.99018829 6.01219807 6.03408705 6.05585295 6.07749362 6.09900709 6.12039163 6.14164577 6.16276836 6.18375858 6.20461601 6.22534061 6.24593279 6.26639341 6.28672382 6.30692587 6.32700197 6.34695510 6.36678882 6.38650732 6.40611545 6.42561873 6.44502339 6.46433637 6.48356535 6.50271879 6.52180587 6.54083652 6.55992536 6.57897955 6.59801143 6.61703398 6.63606081 6.65500221 6.67397629 6.69299796 6.71208251 6.73124557 6.75050306 6.76987112 6.78936600 6.80900401 6.82880139 6.84877424 6.86893840 6.88930934 6.90990209 6.93073114 6.95181027 6.97315253 6.99477012 7.01667436 7.03887559 7.06138311 7.08420516 7.10734885 7.13082014 7.15462385 7.17876358 7.20324177 7.22805966 7.25321734 7.27871380 7.30454692 7.33071353 7.35720943 7.38402944 7.41116743 7.43876763 7.46667418 7.49487822 7.52337012 7.55213952 7.58101647 7.61014555 7.63951474 7.66911148 7.69892270 7.72893483 7.75913385 7.78950533 7.82003439 7.85070578 7.88150387 7.91241267 7.94341587 7.97449682 8.00563855 8.03682383 8.06803511 8.09925463 8.13046446 8.16164651 8.19278264 8.22385468 8.25484451 8.28573418 8.31650598 8.34714256 8.37762698 8.40794285 8.43807444 8.46800676 8.49772570 8.52721813 8.55647197 8.58547629 8.61422141 8.64285426 8.67120953 8.69928149 8.72706573 8.75455907 8.78161205 8.80837437 8.83484615 8.86102848 8.88692340 8.91253385 8.93786362 8.96291733 8.98770038 9.01221888 9.03647965 9.06049016 9.08425839 9.10779282 9.13110225 9.15419574 9.17708252 9.19977195 9.22227345 9.24459647 9.26675048 9.28874491 9.31058916 9.33229259 9.35386460 9.37531453 9.39665179 9.41788575 9.43902580 9.46008132
10 0 -2.89823223 -2.88792989 -2.87764849 -2.86738888 -2.85715189 -2.84693835 -2.83674909 -2.82658495 -2.81644677 -2.80633538 -2.79625162 -2.78619632 -2.77617031 -2.76617444 -2.75620954 -2.74627645 -2.73637600 -2.72650904 -2.71667639 -2.70687891 -2.69711742 -2.68739277 -2.67770580 -2.66805734 -2.65844824 -2.64887933 -2.63929937 -2.62976175 -2.62026733 -2.61081696 -2.60141151 -2.59210271 -2.58284003 -2.57362431 -2.56445640 -2.55533714 -2.54626740 -2.53724800 -2.52827981 -2.51936367 -2.51050044 -2.50169095 -2.49293607 -2.48423664 -2.47559351 -2.46700754 -2.45847957 -2.45001045 -2.44160105 -2.43325220 -2.42496475 -2.41673957 -2.40857749 -2.40047937 -2.39244606 -2.38447840 -2.37657723 -2.36874340 -2.36097775 -2.35328109 -2.34565427 -2.33809811 -2.33061341 -2.32320098 -2.31586164 -2.30859615 -2.30136613 -2.29421235 -2.28713560 -2.28013665 -2.27321623 -2.26641215 -2.25968721 -2.25304209 -2.24647748 -2.23999405 -2.23359246 -2.22727334 -2.22103730 -2.21488496 -2.20881690 -2.20283367 -2.19693584 -2.19112392 -2.18539842 -2.17975984 -2.17420863 -2.16874523 -2.16337008 -2.15808356 -2.15288606 -2.14777792 -2.14275947 -2.13783102 -2.13299283 -2.12824517 -2.12358825 -2.11902228 -2.11454742 -2.11016381 -2.10587157 -2.10167077 -2.09756147 -2.09354368 -2.08961741 -2.08578259 -2.08201891 -2.07834750 -2.07476823 -2.07128092 -2.06788534 -2.06459902 -2.06140290 -2.05829667 -2.05527999 -2.05235244 -2.04951361 -2.04676303 -2.04410020 -2.04152458 -2.03903559 -2.03663261 -2.03431499 -2.03208206 -2.02993307 -2.02786728 -2.02588387 -2.02398203 -2.02216087 -2.02041949 -2.01875695 -2.01717228 -2.01566447 -2.01423248 -2.01287524 -2.01159166 -2.01038060 -2.00924092 -2.00817142 -2.00717091 -2.00623815 -2.00537189 -2.00457087 -2.00383379 -2.00315934 -2.00254620 -2.00199018 -2.00149341 -2.00105451 -2.00067210 -2.00034477 -2.00007245 -1.99985182 -1.99968149 -1.99956005 -1.99948610 -1.99945825 -1.99947511 -1.99953527 -1.99963735 -1.99977998 -1.99996178 -2.00018139 -2.00043747 -2.00072867 -2.00105369 -2.00141120 -2.00179993 -2.00221862 -2.00266601 -2.00314089 -2.00364205 -2.00416832 -2.00471856 -2.00529165 -2.00588649 -2.00650204 -2.00713727 -2.00779117 -2.00846279 -2.00915120 -2.00985551 -2.01057486 -2.01130844 -2.01205545 -2.01281514 -2.01359107 -2.01437842 -2.01517652 -2.01598477 -2.01680257 -2.01762486 -2.01845554 -2.01929413 -2.02014019 -2.02099329 -2.02185304 -2.02271905 -2.02359098 -2.02446851 -2.02535133 -2.02623915 -2.02713171 -2.02802876 -2.02893006 -2.02983539 -2.03074455 -2.03165733 -2.03257355 -2.03349302 -2.03441557 -2.03534103 -2.03626923 -2.03720001 -2.03813320 -2.03906865 -2.04000619 -2.04094566 -2.04188690 -2.04282975 -2.04377405
10 1 -5.86929889 -5.87403111 -5.87873633 -5.88341347 -5.88806146 -5.89267922 -5.89726568 -5.90181974 -5.90634034 -5.91082637 -5.91527677 -5.91969049 -5.92406649 -5.92840376 -5.93270132 -5.93695822 -5.94117354 -5.94534640 -5.94947595 -5.95356140 -5.95760203 -5.96159717 -5.96554624 -5.96944873 -5.97330422 -5.97711239 -5.98089348 -5.98462634 -5.98831093 -5.99194730 -5.99553559 -5.99905688 -6.00253115 -6.00595880 -6.00934028 -6.01267613 -6.01596694 -6.01921335 -6.02241608 -6.02557588 -6.02869361 -6.03177016 -6.03480653 -6.03780376 -6.04076297 -6.04368530 -6.04657198 -6.04942425 -6.05224335 -6.05503054 -6.05778703 -6.06051398 -6.06321251 -6.06588362 -6.06852828 -6.07114738 -6.07374176 -6.07631221 -6.07885945 -6.08138415 -6.08388695 -6.08636843 -6.08882911 -6.09126951 -6.09369009 -6.09609134 -6.09848672 -6.10086350 -6.10322220 -6.10556335 -6.10788750 -6.11018273 -6.11246236 -6.11472705 -6.11697748 -6.11921435 -6.12143836 -6.12365023 -6.12585065 -6.12804036 -6.13022005 -6.13239044 -6.13455223 -6.13670612 -6.13885279 -6.14099293 -6.14312718 -6.14525619 -6.14738056 -6.14950086 -6.15161763 -6.15373135 -6.15584245 -6.15795130 -6.16005823 -6.16216353 -6.16426743 -6.16637014 -6.16847182 -6.17057257 -6.17267245 -6.17477142 -6.17686940 -6.17896623 -6.18106167 -6.18315540 -6.18525853 -6.18735911 -6.18945665 -6.19155059 -6.19364035 -6.19571396 -6.19778220 -6.19984445 -6.20190005 -6.20394835 -6.20598869 -6.20802040 -6.21004280 -6.21205519 -6.21405685 -6.21604704 -6.21802501 -6.21998995 -6.22194103 -6.22387737 -6.22579805 -6.22770210 -6.22958846 -6.23145605 -6.23330367 -6.23513005 -6.23693385 -6.23871362 -6.24046789 -6.24219511 -6.24389373 -6.24556218 -6.24719889 -6.24880230 -6.25037084 -6.25190296 -6.25339713 -6.25485183 -6.25626556 -6.25763682 -6.25897129 -6.26025984 -6.26150101 -6.26269334 -6.26383540 -6.26492001 -6.26595219 -6.26693064 -6.26785412 -6.26872145 -6.26953149 -6.27028320 -6.27097562 -6.27160785 -6.27217909 -6.27268862 -6.27313580 -6.27352012 -6.27384114 -6.27409856 -6.27429217 -6.27442192 -6.27448785 -6.27449014 -6.27442909 -6.27430509 -6.27411863 -6.27387035 -6.27356096 -6.27319132 -6.27276238 -6.27227524 -6.27173113 -6.27113140 -6.27047754 -6.26977118 -6.26901410 -6.26820820 -6.26735552 -6.26645823 -6.26551335 -6.26452811 -6.26350502 -6.26244665 -6.26135561 -6.26024068 -6.25909853 -6.25793166 -6.25674248 -6.25553332 -6.25430642 -6.25306392 -6.25180779 -6.25053989 -6.24926191 -6.24797535 -6.24668155 -6.24538167 -6.24407671 -6.24276754 -6.24145490 -6.24013939 -6.23882153 -6.23750174 -6.23618036 -6.23485763 -6.23353373 -6.23220878 -6.23088289 -6.22955609 -6.22822846 -6.22690006 -6.22557095 -6.22424120 -6.22291087
10 -1 1.55236026 1.55805573 1.56378468 1.56954845 1.57534838 1.58118579 1.58706202 1.59297841 1.59893629 1.60493702 1.61098196 1.61707246 1.62320993 1.62939575 1.63563135 1.64191817 1.64825766 1.65465128 1.66110053 1.66760689 1.67417186 1.68079691 1.68748353 1.69423317 1.70104726 1.70792721 1.71491265 1.72196741 1.72909279 1.73629004 1.74356034 1.75086456 1.75824313 1.76569697 1.77322688 1.78083357 1.78851761 1.79627946 1.80411943 1.81203771 1.82003436 1.82810931 1.83626237 1.84449322 1.85280148 1.86118664 1.86964816 1.87818543 1.88679782 1.89548467 1.90424532 1.91307910 1.92198541 1.93096363 1.94001324 1.94913374 1.95832473 1.96758587 1.97691689 1.98631765 1.99578804 2.00532808 2.01493787 2.02461756 2.03436741 2.04418772 2.05413324 2.06415077 2.07424073 2.08440356 2.09463971 2.10489321 2.11522002 2.12562049 2.13609488 2.14664340 2.15726616 2.16796317 2.17873436 2.18957954 2.20049840 2.21149053 2.22255542 2.23369241 2.24490075 2.25617954 2.26752776 2.27894425 2.29042773 2.30197677 2.31358981 2.32526515 2.33700096 2.34879528 2.36064600 2.37255090 2.38450762 2.39651365 2.40856640 2.42066316 2.43280117 2.44497758 2.45718950 2.46943401 2.48170816 2.49400896 2.50640101 2.51881389 2.53124454 2.54368989 2.55614688 2.56854453 2.58094776 2.59335367 2.60575944 2.61816230 2.63055958 2.64294872 2.65532722 2.66769275 2.68004304 2.69237597 2.70468953 2.71698184 2.72925110 2.74149557 2.75371360 2.76590357 2.77806390 2.79019304 2.80228949 2.81435172 2.82637828 2.83836767 2.85031841 2.86222900 2.87409793 2.88592365 2.89770454 2.90943899 2.92112530 2.93276174 2.94434650 2.95587774 2.96735353 2.97877191 2.99019291 3.00155167 3.01284599 3.02407363 3.03523228 3.04625931 3.05721336 3.06809194 3.07889254 3.08961255 3.10024931 3.11080005 3.12126193 3.13163200 3.14190722 3.15208443 3.16216035 3.17213158 3.18199455 3.19174558 3.20138080 3.21089618 3.22028751 3.22955037 3.23868016 3.24767208 3.25652109 3.26522196 3.27376926 3.28215737 3.29038049 3.29843267 3.30630786 3.31399998 3.32150299 3.32881094 3.33591809 3.34281891 3.34950814 3.35598088 3.36226626 3.36832407 3.37415065 3.37974286 3.38509810 3.39018710 3.39503829 3.39965085 3.40402452 3.40815969 3.41205730 3.41571889 3.41914661 3.42234320 3.42531196 3.42805681 3.43058223 3.43289328 3.43499548 3.43689489 3.43859797 3.44011159 3.44144302 3.44259986 3.44359001 3.44442165 3.44510322 3.44564331 3.44605068 3.44633416 3.44650262 3.44656488 3.44652979 3.44640617 3.44620286
10 2 1.52828473 1.53042983 1.53253441 1.53459685 1.53661553 1.53858884 1.54051517 1.54239292 1.54422051 1.54599635 1.54771886 1.54938649 1.55099765 1.55255079 1.55404435 1.55547676 1.55684648 1.55815196 1.55939165 1.56056400 1.56166748 1.56270054 1.56366161 1.56454917 1.56536164 1.56609748 1.56675852 1.56733896 1.56783722 1.56825174 1.56858096 1.56882221 1.56897596 1.56904065 1.56901468 1.56889642 1.56868421 1.56837633 1.56797102 1.56746644 1.56686070 1.56615180 1.56533770 1.56441624 1.56338523 1.56224243 1.56098557 1.55961235 1.55812046 1.55650757 1.55477134 1.55290942 1.55091945 1.54879906 1.54654589 1.54415758 1.54163178 1.53896617 1.53615844 1.53320629 1.53010744 1.52685964 1.52346061 1.51990812 1.51619994 1.51233386 1.50828517 1.50407241 1.49969342 1.49514607 1.49042831 1.48556530 1.48052997 1.47532058 1.46993551 1.46437324 1.45863238 1.45271163 1.44660980 1.44032582 1.43385876 1.42720777 1.42037215 1.41335131 1.40614475 1.39875211 1.39117312 1.38340761 1.37545551 1.36731683 1.35899168 1.35048023 1.34178273 1.33289951 1.32383098 1.31457764 1.30514009 1.29551903 1.28571526 1.27572970 1.26556338 1.25521744 1.24469318 1.23399197 1.22311535 1.21206493 1.20078046 1.18932388 1.17769712 1.16590220 1.15394117 1.14188267 1.12966405 1.11728747 1.10475511 1.09206918 1.07923200 1.06624589 1.05311329 1.03983669 1.02641866 1.01286184 0.99916897 0.98534289 0.97138657 0.95730312 0.94309585 0.92876823 0.91432398 0.89976703 0.88510155 0.87033199 0.85546306 0.84049976 0.82544736 0.81031145 0.79509788 0.77981278 0.76446259 0.74905399 0.73359390 0.71808946 0.70254804 0.68697718 0.67138457 0.65577806 0.64008005 0.62438420 0.60869873 0.59303193 0.57739208 0.56187240 0.54639570 0.53097003 0.51560342 0.50030379 0.48507899 0.46993677 0.45488477 0.43993048 0.42508128 0.41034441 0.39572694 0.38123578 0.36687771 0.35265934 0.33858715 0.32466746 0.31090646 0.29731016 0.28388443 0.27063499 0.25756736 0.24468692 0.23199880 0.21950794 0.20721904 0.19513651 0.18326453 0.17160697 0.16016740 0.14894911 0.13795504 0.12718780 0.11664963 0.10634241 0.09621300 0.08631956 0.07666266 0.06724240 0.05805838 0.04915785 0.04048872 0.03204913 0.02383670 0.01584861 0.00808157 0.00053186 -0.00680468 -0.01393257 -0.02085673 -0.02758242 -0.03411521 -0.04046097 -0.04662583 -0.05261615 -0.05843850 -0.06409961 -0.06960639 -0.07496584 -0.08018510 -0.08527137 -0.09023192 -0.09507406 -0.09980517 -0.10443261 -0.10896378 -0.11340607 -0.11776689 -0.12205363 -0.12627369
10 -2 -0.26557601 -0.25598220 -0.24645441 -0.23699526 -0.22760740 -0.21829344 -0.20905602 -0.19989775 -0.19082124 -0.18182907 -0.17292381 -0.16410804 -0.15538426 -0.14675501 -0.13822276 -0.12978996 -0.12145903 -0.11323236 -0.10511229 -0.09710113 -0.08920118 -0.08141468 -0.07374388 -0.06619098 -0.05875815 -0.05144755 -0.04422228 -0.03712486 -0.03015741 -0.02332198 -0.01662060 -0.01009066 -0.00369718 0.00255798 0.00867301 0.01464614 0.02047565 0.02615986 0.03169714 0.03708588 0.04232454 0.04741162 0.05234565 0.05712523 0.06174897 0.06621554 0.07052366 0.07467206 0.07865954 0.08248492 0.08614702 0.08964472 0.09297689 0.09614245 0.09914030 0.10196939 0.10462868 0.10711719 0.10943391 0.11157792 0.11354831 0.11534420 0.11696477 0.11840923 0.11967685 0.12076695 0.12168339 0.12241912 0.12297361 0.12334642 0.12353719 0.12354609 0.12337447 0.12302228 0.12248952 0.12177630 0.12088282 0.11980936 0.11855627 0.11712401 0.11551312 0.11372427 0.11175821 0.10961580 0.10729801 0.10480593 0.10214074 0.09930375 0.09629634 0.09311999 0.08977626 0.08626676 0.08259317 0.07875720 0.07476064 0.07060529 0.06629303 0.06182578 0.05720554 0.05243436 0.04751445 0.04244810 0.03723777 0.03188606 0.02639576 0.02076984 0.01497954 0.00905876 0.00301113 -0.00315951 -0.00944910 -0.01581821 -0.02229644 -0.02887926 -0.03556196 -0.04233969 -0.04920745 -0.05616011 -0.06319240 -0.07029895 -0.07747427 -0.08471278 -0.09200881 -0.09935660 -0.10675029 -0.11418397 -0.12165159 -0.12914705 -0.13666415 -0.14419660 -0.15173804 -0.15928202 -0.16682202 -0.17435145 -0.18186365 -0.18935190 -0.19680941 -0.20422937 -0.21160491 -0.21892913 -0.22619512 -0.23339597 -0.24052477 -0.24757464 -0.25453874 -0.26141025 -0.26821925 -0.27492106 -0.28150896 -0.28797635 -0.29431672 -0.30049020 -0.30652550 -0.31241655 -0.31815738 -0.32374216 -0.32916518 -0.33442086 -0.33950376 -0.34440857 -0.34913013 -0.35366342 -0.35800358 -0.36214588 -0.36608576 -0.36981878 -0.37334067 -0.37664729 -0.37973467 -0.38259899 -0.38523663 -0.38764417 -0.38981839 -0.39175632 -0.39345522 -0.39491259 -0.39612623 -0.39709422 -0.39781493 -0.39828707 -0.39850968 -0.39848218 -0.39820435 -0.39767638 -0.39689889 -0.39587293 -0.39459239 -0.39306425 -0.39129102 -0.38927563 -0.38702142 -0.38454626 -0.38184246 -0.37891425 -0.37576617 -0.37240305 -0.36883000 -0.36505238 -0.36107582 -0.35690620 -0.35254958 -0.34801225 -0.34330064 -0.33842134 -0.33338103 -0.32818644 -0.32284434 -0.31736147 -0.31174456 -0.30600026 -0.30013521 -0.29415595 -0.28806897 -0.28188069 -0.27559747 -0.26922566 -0.26277159 -0.25624157 -0.24964193 -0.24297900 -0.23625908
10 3 -3.35732123 -3.34800686 -3.33865702 -3.32927028 -3.31984524 -3.31038047 -3.30087457 -3.29132611 -3.28173367 -3.27209579 -3.26241105 -3.25267797 -3.24289508 -3.23306088 -3.22317386 -3.21323245 -3.20323506 -3.19318005 -3.18306574 -3.17289038 -3.16265219 -3.15234932 -3.14197984 -3.13154180 -3.12103313 -3.11045169 -3.09973664 -3.08894337 -3.07806939 -3.06711210 -3.05606877 -3.04499751 -3.03383546 -3.02257962 -3.01122688 -2.99977404 -2.98821776 -2.97655462 -2.96478111 -2.95289357 -2.94088827 -2.92876133 -2.91650877 -2.90412649 -2.89161028 -2.87895585 -2.86615880 -2.85321468 -2.84011895 -2.82686705 -2.81345439 -2.79987636 -2.78612836 -2.77220580 -2.75810414 -2.74381885 -2.72934547 -2.71467956 -2.69981679 -2.68475287 -2.66948362 -2.65400495 -2.63831290 -2.62240359 -2.60627329 -2.58991838 -2.57324389 -2.55633540 -2.53918966 -2.52180355 -2.50417411 -2.48639662 -2.46837305 -2.45010096 -2.43157808 -2.41280230 -2.39377173 -2.37448466 -2.35493957 -2.33513517 -2.31507037 -2.29474429 -2.27415628 -2.25330590 -2.23219292 -2.21081735 -2.18917941 -2.16727955 -2.14511844 -2.12269693 -2.10001612 -2.07707727 -2.05388183 -2.03043142 -2.00672780 -1.98277286 -1.95856857 -1.93411700 -1.90942027 -1.88448054 -1.85930002 -1.83388095 -1.80822555 -1.78233610 -1.75621488 -1.72986420 -1.70314020 -1.67618908 -1.64901336 -1.62161564 -1.59399857 -1.56631715 -1.53842422 -1.51032262 -1.48201531 -1.45350531 -1.42479576 -1.39588993 -1.36679120 -1.33750311 -1.30802932 -1.27837369 -1.24854021 -1.21853310 -1.18835673 -1.15801567 -1.12751472 -1.09685884 -1.06605324 -1.03510331 -1.00401468 -0.97279320 -0.94144491 -0.90997610 -0.87839324 -0.84670300 -0.81491222 -0.78302794 -0.75105734 -0.71900773 -0.68688655 -0.65470136 -0.62245980 -0.59016959 -0.55783854 -0.52547452 -0.49290797 -0.46032428 -0.42773167 -0.39513839 -0.36255278 -0.33016062 -0.29779257 -0.26545692 -0.23316198 -0.20091605 -0.16872740 -0.13660430 -0.10455494 -0.07258749 -0.04070999 -0.00893044 0.02274332 0.05430355 0.08574270 0.11705338 0.14822844 0.17926096 0.21014429 0.24087205 0.27143819 0.30183699 0.33206310 0.36211152 0.39197762 0.42165719 0.45114637 0.48044174 0.50954024 0.53843923 0.56713643 0.59562998 0.62391836 0.65200044 0.67987545 0.70754298 0.73515286 0.76255320 0.78974463 0.81672816 0.84350513 0.86993302 0.89616035 0.92218952 0.94802326 0.97366460 0.99911689 1.02438375 1.04946907 1.07437699 1.09911189 1.12367835 1.14808118 1.17232536 1.19641606 1.22035864 1.24415862 1.26782168 1.29135363 1.31476043 1.33804812 1.36122283 1.38429073 1.40725806 1.43013107 1.45291605 1.47561928 1.49824705 1.52080563 1.54330131 1.56574036
10 -3 3.77929403 3.78860068 3.79789101 3.80716438 3.81642013 3.82565761 3.83487618 3.84407518 3.85325401 3.86241203 3.87154866 3.88066332 3.88975546 3.89882455 3.90787010 3.91689166 3.92588879 3.93486110 3.94380823 3.95272985 3.96162569 3.97049548 3.97933899 3.98815605 3.99694648 4.00571017 4.01449480 4.02325222 4.03198238 4.04068526 4.04936089 4.05796224 4.06653673 4.07508445 4.08360551 4.09210006 4.10056826 4.10901030 4.11742640 4.12581680 4.13418180 4.14252172 4.15083693 4.15912783 4.16739490 4.17563862 4.18385957 4.19205835 4.20023561 4.20839203 4.21652829 4.22464509 4.23274308 4.24082292 4.24888522 4.25693053 4.26495933 4.27297206 4.28096903 4.28895047 4.29691650 4.30486711 4.31280217 4.32072138 4.32862431 4.33651034 4.34442174 4.35231428 4.36018677 4.36803785 4.37586597 4.38362694 4.39136160 4.39906792 4.40674369 4.41438657 4.42199410 4.42956367 4.43709259 4.44457808 4.45201728 4.45940729 4.46674518 4.47402800 4.48125281 4.48841666 4.49551666 4.50254996 4.50951375 4.51640532 4.52322201 4.52996126 4.53662060 4.54319766 4.54969018 4.55609597 4.56241297 4.56863920 4.57477279 4.58081196 4.58675506 4.59260053 4.59834691 4.60399287 4.60953716 4.61497865 4.62034524 4.62560585 4.63075960 4.63580564 4.64074316 4.64554538 4.65023873 4.65482243 4.65929569 4.66365763 4.66790732 4.67204375 4.67606580 4.67997222 4.68376163 4.68743250 4.69098314 4.69441167 4.69771600 4.70089384 4.70394261 4.70685952 4.70964146 4.71228505 4.71478658 4.71714201 4.71934699 4.72139678 4.72328635 4.72501034 4.72656307 4.72793859 4.72913065 4.73013275 4.73093816 4.73153996 4.73193103 4.73210410 4.73205175 4.73176643 4.73123696 4.73045639 4.72941682 4.72811027 4.72652878 4.72467528 4.72253405 4.72009727 4.71735719 4.71430611 4.71093646 4.70724078 4.70321178 4.69884232 4.69412548 4.68905454 4.68362304 4.67782480 4.67165393 4.66510489 4.65817251 4.65085200 4.64313900 4.63502962 4.62652039 4.61760838 4.60829115 4.59856679 4.58843395 4.57789180 4.56694009 4.55557914 4.54380981 4.53163346 4.51905199 4.50606774 4.49268348 4.47890243 4.46472818 4.45016474 4.43513346 4.41971783 4.40392295 4.38775422 4.37121739 4.35441155 4.33725384 4.31975080 4.30190925 4.28373627 4.26523920 4.24642564 4.22730341 4.20788058 4.18816544 4.16816650 4.14789249 4.12735235 4.10655520 4.08551039 4.06422743 4.04271602 4.02098603 3.99904745 3.97691041 3.95458515 3.93208197 3.90941125 3.88658342 3.86360893 3.84049826 3.81726187 3.79391022 3.77045377 3.74690299
10 4 -0.66669846 -0.65877698 -0.65087459 -0.64299205 -0.63513012 -0.62728955 -0.61947112 -0.61167559 -0.60390375 -0.59615636 -0.58843422 -0.58073809 -0.57306876 -0.56542700 -0.55781358 -0.55022924 -0.54267473 -0.53515078 -0.52765808 -0.52019730 -0.51276908 -0.50537398 -0.49801252 -0.49068517 -0.48339233 -0.47613433 -0.46887199 -0.46164541 -0.45445480 -0.44730031 -0.44018212 -0.43313889 -0.42613189 -0.41916134 -0.41222747 -0.40533053 -0.39847080 -0.39164861 -0.38486429 -0.37811819 -0.37141065 -0.36474199 -0.35811252 -0.35152253 -0.34497236 -0.33846236 -0.33199299 -0.32556477 -0.31917839 -0.31283467 -0.30653465 -0.30027957 -0.29407094 -0.28791052 -0.28180030 -0.27574253 -0.26973970 -0.26379449 -0.25790983 -0.25208885 -0.24633485 -0.24065133 -0.23504192 -0.22951041 -0.22406069 -0.21869672 -0.21339388 -0.20818591 -0.20307695 -0.19807113 -0.19317254 -0.18841107 -0.18376371 -0.17923439 -0.17482699 -0.17054535 -0.16639323 -0.16237432 -0.15849223 -0.15475051 -0.15115260 -0.14770185 -0.14440150 -0.14125471 -0.13826451 -0.13543383 -0.13276548 -0.13026215 -0.12792639 -0.12576063 -0.12376713 -0.12194802 -0.12030524 -0.11884056 -0.11755561 -0.11645185 -0.11553056 -0.11479289 -0.11423983 -0.11387225 -0.11369090 -0.11369642 -0.11388939 -0.11427028 -0.11483950 -0.11559742 -0.11655004 -0.11769398 -0.11902946 -0.12055661 -0.12227554 -0.12417531 -0.12626472 -0.12854361 -0.13101176 -0.13366887 -0.13651455 -0.13954831 -0.14276960 -0.14617774 -0.14977197 -0.15355143 -0.15751513 -0.16166196 -0.16599066 -0.17049980 -0.17518775 -0.18005268 -0.18509252 -0.19030499 -0.19568755 -0.20123739 -0.20695145 -0.21282641 -0.21885865 -0.22504432 -0.23137926 -0.23785906 -0.24447908 -0.25123440 -0.25811988 -0.26513018 -0.27225973 -0.27950280 -0.28685349 -0.29430579 -0.30189515 -0.30957470 -0.31733804 -0.32517870 -0.33309022 -0.34102246 -0.34901196 -0.35705235 -0.36513729 -0.37326046 -0.38141562 -0.38959656 -0.39779716 -0.40601139 -0.41423329 -0.42245702 -0.43067682 -0.43888710 -0.44708238 -0.45525739 -0.46340703 -0.47152642 -0.47961092 -0.48765614 -0.49565797 -0.50361259 -0.51151650 -0.51936654 -0.52715987 -0.53489401 -0.54256687 -0.55017670 -0.55772216 -0.56520228 -0.57261645 -0.57996446 -0.58724644 -0.59446287 -0.60161452 -0.60870243 -0.61576619 -0.62276826 -0.62971032 -0.63659420 -0.64342191 -0.65015883 -0.65684459 -0.66348154 -0.67007209 -0.67661863 -0.68312353 -0.68958909 -0.69601748 -0.70241079 -0.70877097 -0.71509983 -0.72139907 -0.72767023 -0.73391476 -0.74013399 -0.74632918 -0.75250154 -0.75865219 -0.76478223 -0.77089274 -0.77698477 -0.78305937 -0.78911758 -0.79516043 -0.80118897 -0.80720423 -0.81320721 -0.81919896 -0.82518047 -0.83115278
10 -4 4.95555820 4.95369821 4.95183317 4.94996288 4.94808714 4.94620575 4.94431851 4.94242520 4.94052557 4.93861939 4.93670638 4.93478626 4.93285874 4.93092350 4.92898021 4.92702853 4.92506808 4.92309850 4.92111937 4.91913032 4.91713094 4.91512086 4.91309972 4.91106716 4.90902287 4.90696654 4.90488648 4.90279365 4.90068775 4.89856846 4.89643546 4.89430011 4.89215041 4.88998587 4.88780596 4.88561006 4.88339748 4.88116744 4.87891908 4.87665143 4.87436345 4.87205398 4.86972177 4.86736543 4.86498350 4.86257436 4.86013627 4.85766736 4.85516562 4.85262893 4.85005502 4.84744153 4.84478598 4.84208579 4.83933831 4.83654080 4.83369051 4.83078461 4.82782027 4.82479464 4.82170487 4.81854812 4.81532158 4.81202245 4.80864800 4.80519555 4.80164287 4.79800606 4.79428261 4.79047014 4.78656635 4.78259119 4.77852169 4.77435613 4.77009301 4.76573108 4.76126934 4.75670712 4.75204403 4.74728001 4.74241524 4.73745026 4.73238584 4.72722306 4.72196327 4.71660808 4.71115934 4.70561917 4.69998990 4.69427412 4.68847463 4.68259446 4.67663684 4.67060524 4.66450330 4.65833489 4.65210406 4.64581504 4.63947226 4.63308028 4.62664379 4.62016761 4.61365665 4.60711592 4.60055049 4.59396550 4.58732997 4.58068528 4.57403681 4.56738998 4.56075026 4.55415922 4.54758608 4.54103630 4.53451533 4.52802865 4.52158175 4.51518010 4.50882917 4.50253439 4.49630120 4.49013499 4.48404111 4.47802490 4.47209163 4.46624656 4.46049490 4.45484182 4.44929249 4.44385200 4.43852542 4.43331780 4.42823413 4.42327935 4.41845836 4.41377598 4.40923694 4.40484589 4.40060739 4.39652590 4.39260578 4.38885132 4.38526667 4.38185593 4.37862307 4.37557199 4.37269130 4.37000200 4.36750776 4.36521213 4.36311854 4.36124001 4.35956768 4.35810448 4.35685320 4.35581647 4.35499675 4.35439633 4.35401732 4.35386166 4.35393113 4.35422730 4.35475157 4.35550515 4.35648904 4.35770404 4.35915073 4.36082946 4.36274037 4.36488333 4.36725801 4.36986381 4.37269988 4.37576516 4.37905831 4.38257782 4.38632193 4.39028870 4.39447601 4.39888159 4.40350306 4.40833795 4.41338372 4.41863778 4.42409749 4.42976018 4.43565579 4.44175107 4.44804316 4.45452910 4.46120586 4.46803231 4.47504101 4.48222849 4.48959111 4.49712506 4.50482639 4.51269100 4.52071462 4.52889290 4.53722131 4.54569527 4.55431005 4.56306086 4.57194283 4.58095100 4.59008036 4.59932585 4.60868235 4.61814468 4.62770766 4.63736604 4.64711456 4.65694791 4.66686081 4.67684794 4.68690400 4.69702368 4.70720169 4.71743275 4.72771154
10 5 4.15196987 4.13614717 4.12035161 4.10458428 4.08884626 4.07313864 4.05746248 4.04181885 4.02620882 4.01063344 3.99509374 3.97959076 3.96412551 3.94869901 3.93331225 3.91796618 3.90266177 3.88739995 3.87218162 3.85700765 3.84187890 3.82679619 3.81176029 3.79677195 3.78183188 3.76694073 3.75201794 3.73714583 3.72232491 3.70755566 3.69283853 3.67825364 3.66372099 3.64924084 3.63481341 3.62043887 3.60611737 3.59184898 3.57763377 3.56347178 3.54936304 3.53530759 3.52130548 3.50735676 3.49346146 3.47961960 3.46583117 3.45209609 3.43841421 3.42478532 3.41120911 3.39768516 3.38421293 3.37079176 3.35742089 3.34409946 3.33082650 3.31760098 3.30442178 3.29128776 3.27819776 3.26515063 3.25214527 3.23918064 3.22625574 3.21336970 3.20045143 3.18757099 3.17472783 3.16192151 3.14915172 3.13648757 3.12385927 3.11126684 3.09871039 3.08619008 3.07370618 3.06125899 3.04884888 3.03647626 3.02414158 3.01184532 2.99958800 2.98737014 2.97519224 2.96305478 2.95095822 2.93890291 2.92688916 2.91491719 2.90298710 2.89109890 2.87925246 2.86744753 2.85568369 2.84396035 2.83227675 2.82063191 2.80902463 2.79745349 2.78591685 2.77441277 2.76293908 2.75149335 2.74007288 2.72867475 2.71723347 2.70580811 2.69439499 2.68299022 2.67158975 2.66025149 2.64890899 2.63755780 2.62619337 2.61481101 2.60340596 2.59197337 2.58050832 2.56900585 2.55746100 2.54586881 2.53422436 2.52252277 2.51075927 2.49892918 2.48702798 2.47505131 2.46299497 2.45085499 2.43862755 2.42630908 2.41389619 2.40138574 2.38877477 2.37606057 2.36324063 2.35031265 2.33727455 2.32412443 2.31086061 2.29748156 2.28398595 2.27037261 2.25664052 2.24278879 2.22873976 2.21456834 2.20027399 2.18585628 2.17131489 2.15672989 2.14202231 2.12719220 2.11223970 2.09716507 2.08196862 2.06665072 2.05121182 2.03565240 2.01997298 2.00417409 1.98825626 1.97222003 1.95606590 1.93979430 1.92340561 1.90690011 1.89027797 1.87353919 1.85668363 1.83971094 1.82262054 1.80541170 1.78808347 1.77063479 1.75306447 1.73537123 1.71755373 1.69961057 1.68154037 1.66334172 1.64501329 1.62655376 1.60796192 1.58923665 1.57027325 1.55117308 1.53193545 1.51255987 1.49304606 1.47350145 1.45382029 1.43400307 1.41405058 1.39396388 1.37374437 1.35339376 1.33291406 1.31230760 1.29157700 1.27072517 1.24975528 1.22867076 1.20747526 1.18617261 1.16476683 1.14326206 1.12166257 1.09997271 1.07819690 1.05633961 1.03440535 1.01239861 0.99032392 0.96818581 0.94598882 0.92373746 0.90143626 0.87908975 0.85670245
10 -5 -5.45396014 -5.46953383 -5.48508781 -5.50062131 -5.51613352 -5.53162367 -5.54709098 -5.56253468 -5.57795402 -5.59334826 -5.60871669 -5.62405859 -5.63937326 -5.65465999 -5.66991811 -5.68514692 -5.70034573 -5.71551385 -5.73065057 -5.74575518 -5.76082699 -5.77586526 -5.79086930 -5.80583837 -5.82077178 -5.83566884 -5.85061021 -5.86551352 -5.88037816 -5.89520357 -5.90998919 -5.92465430 -5.93927912 -5.95386323 -5.96840624 -5.98290777 -5.99736745 -6.01178492 -6.02615983 -6.04049182 -6.05478051 -6.06902552 -6.08322646 -6.09738294 -6.11149456 -6.12556096 -6.13958179 -6.15355677 -6.16748563 -6.18136819 -6.19520430 -6.20899387 -6.22273689 -6.23643338 -6.25008346 -6.26368730 -6.27724513 -6.29075728 -6.30422411 -6.31764606 -6.33102365 -6.34435744 -6.35764804 -6.37089614 -6.38410247 -6.39726781 -6.41046481 -6.42362212 -6.43674068 -6.44982150 -6.46286563 -6.47580338 -6.48870708 -6.50157790 -6.51441710 -6.52722595 -6.54000578 -6.55275795 -6.56548387 -6.57818502 -6.59086294 -6.60351928 -6.61615575 -6.62877417 -6.64137645 -6.65396460 -6.66654072 -6.67910699 -6.69166567 -6.70421907 -6.71676957 -6.72931954 -6.74187139 -6.75442752 -6.76699032 -6.77956219 -6.79214546 -6.80474247 -6.81735551 -6.82998684 -6.84263868 -6.85531321 -6.86801257 -6.88073887 -6.89349413 -6.90628032 -6.91916965 -6.93209396 -6.94505496 -6.95805423 -6.97109321 -6.98410180 -6.99715205 -7.01024490 -7.02338113 -7.03656133 -7.04978594 -7.06305520 -7.07636922 -7.08972790 -7.10313100 -7.11657810 -7.13006864 -7.14360189 -7.15717700 -7.17079298 -7.18444872 -7.19814303 -7.21187460 -7.22564205 -7.23944391 -7.25327862 -7.26714459 -7.28104014 -7.29496360 -7.30891326 -7.32288742 -7.33688440 -7.35090256 -7.36494024 -7.37899583 -7.39306772 -7.40715429 -7.42125394 -7.43536505 -7.44948598 -7.46369252 -7.47790560 -7.49212348 -7.50634442 -7.52056666 -7.53471097 -7.54885319 -7.56299166 -7.57712477 -7.59125093 -7.60536860 -7.61947627 -7.63357247 -7.64765578 -7.66172479 -7.67577815 -7.68981454 -7.70383270 -7.71783142 -7.73180960 -7.74576626 -7.75970052 -7.77361166 -7.78749909 -7.80136236 -7.81520117 -7.82901538 -7.84280498 -7.85657012 -7.87031106 -7.88402821 -7.89772208 -7.91139329 -7.92504256 -7.93867068 -7.95227848 -7.96586688 -7.97943679 -7.99298917 -8.00652497 -8.02011919 -8.03369854 -8.04726395 -8.06081628 -8.07435637 -8.08781129 -8.10125555 -8.11468978 -8.12811453 -8.14153027 -8.15493741 -8.16833624 -8.18172702 -8.19510993 -8.20848510 -8.22185265 -8.23521267 -8.24856526 -8.26191053 -8.27524858 -8.28857957 -8.30190370 -8.31522119 -8.32853229 -8.34183727 -8.35513642 -8.36843003 -8.38171840 -8.39500183 -8.40828062 -8.42155511 -8.43482562 -8.44809247 -8.46135602 -8.47461659
10 6 1.55447108 1.53796391 1.52146186 1.50496513 1.48847393 1.47198847 1.45550893 1.43903552 1.42256843 1.40610785 1.38965398 1.37320701 1.35676712 1.34033453 1.32390943 1.30749202 1.29108250 1.27468109 1.25828798 1.24190338 1.22552750 1.20916052 1.19280265 1.17645406 1.16011493 1.14378544 1.12737635 1.11097732 1.09458851 1.07821005 1.06184208 1.04557384 1.02931624 1.01306940 0.99683343 0.98060847 0.96439465 0.94819215 0.93200113 0.91582179 0.89965436 0.88349911 0.86735635 0.85122641 0.83510966 0.81900650 0.80291733 0.78684259 0.77078270 0.75473812 0.73870930 0.72269670 0.70670080 0.69072207 0.67476103 0.65881822 0.64289425 0.62698977 0.61110549 0.59524223 0.57940089 0.56358251 0.54778824 0.53201939 0.51627740 0.50056386 0.48479469 0.46905801 0.45335596 0.43769079 0.42206496 0.40656585 0.39111087 0.37570283 0.36034466 0.34503938 0.32979011 0.31460004 0.29947245 0.28441065 0.26941803 0.25449802 0.23965409 0.22488973 0.21020844 0.19561370 0.18110898 0.16669772 0.15238330 0.13816901 0.12405810 0.11005370 0.09615884 0.08237642 0.06870925 0.05515995 0.04173103 0.02842482 0.01524350 0.00218909 -0.01073659 -0.02353188 -0.03619529 -0.04872551 -0.06112142 -0.07338203 -0.08557259 -0.09762486 -0.10953833 -0.12131260 -0.13294743 -0.14438045 -0.15567548 -0.16683266 -0.17785227 -0.18873474 -0.19948060 -0.21009053 -0.22056533 -0.23090593 -0.24111339 -0.25118890 -0.26113375 -0.27094939 -0.28063736 -0.29019934 -0.29963711 -0.30895257 -0.31814773 -0.32722467 -0.33618558 -0.34503272 -0.35376841 -0.36239502 -0.37091498 -0.37933077 -0.38764489 -0.39585987 -0.40397828 -0.41200267 -0.41993563 -0.42777975 -0.43553759 -0.44321171 -0.45080467 -0.45831898 -0.46579767 -0.47320183 -0.48053388 -0.48779616 -0.49499093 -0.50208165 -0.50910972 -0.51607702 -0.52298532 -0.52983629 -0.53663149 -0.54337236 -0.55006027 -0.55669646 -0.56328209 -0.56981820 -0.57630576 -0.58274561 -0.58913851 -0.59548510 -0.60178593 -0.60804141 -0.61425188 -0.62041757 -0.62653862 -0.63261514 -0.63864713 -0.64463455 -0.65057728 -0.65647510 -0.66232773 -0.66813476 -0.67389571 -0.67961005 -0.68527718 -0.69089650 -0.69646736 -0.70198917 -0.70746133 -0.71288333 -0.71828398 -0.72363309 -0.72893035 -0.73417559 -0.73936870 -0.74448177 -0.74954331 -0.75455342 -0.75951231 -0.76442019 -0.76927736 -0.77408416 -0.77884098 -0.78354827 -0.78820658 -0.79281655 -0.79737892 -0.80189455 -0.80636445 -0.81078972 -0.81517165 -0.81951163 -0.82381120 -0.82807202 -0.83229584 -0.83648446 -0.84063976 -0.84476365 -0.84885808 -0.85292500 -0.85696639 -0.86098421 -0.86498042 -0.86895698 -0.87291585
10 -6 -1.35606139 -1.35147985 -1.34690012 -1.34232226 -1.33774635 -1.33317244 -1.32860063 -1.32403099 -1.31946361 -1.31489858 -1.31033598 -1.30577589 -1.30121834 -1.29666340 -1.29211105 -1.28756129 -1.28301407 -1.27846931 -1.27392687 -1.26938660 -1.26484831 -1.26031174 -1.25577661 -1.25124263 -1.24670945 -1.24217672 -1.23761927 -1.23306158 -1.22850332 -1.22394419 -1.21938396 -1.21484730 -1.21030925 -1.20576979 -1.20122897 -1.19668697 -1.19214402 -1.18760050 -1.18305687 -1.17851374 -1.17397182 -1.16943196 -1.16489515 -1.16036252 -1.15583535 -1.15131507 -1.14680329 -1.14230177 -1.13781246 -1.13333748 -1.12887914 -1.12443992 -1.12002251 -1.11562976 -1.11126471 -1.10693055 -1.10263063 -1.09836843 -1.09414755 -1.08997172 -1.08584473 -1.08177047 -1.07775284 -1.07379581 -1.06990332 -1.06607929 -1.06230724 -1.05861214 -1.05499774 -1.05146762 -1.04802520 -1.04469172 -1.04145114 -1.03830618 -1.03525931 -1.03231271 -1.02946826 -1.02672754 -1.02409180 -1.02156195 -1.01913858 -1.01682193 -1.01461189 -1.01250800 -1.01050944 -1.00861500 -1.00682310 -1.00513174 -1.00353856 -1.00204073 -1.00063503 -0.99931777 -0.99808482 -0.99693160 -0.99585309 -0.99484383 -0.99389794 -0.99300913 -0.99217072 -0.99137570 -0.99061673 -0.98988620 -0.98917628 -0.98847893 -0.98778592 -0.98708888 -0.98637540 -0.98564059 -0.98487568 -0.98407194 -0.98322064 -0.98231824 -0.98135186 -0.98031324 -0.97919434 -0.97798735 -0.97668473 -0.97527929 -0.97376417 -0.97213288 -0.97037938 -0.96849804 -0.96648371 -0.96433169 -0.96203777 -0.95959820 -0.95700970 -0.95426945 -0.95137508 -0.94832464 -0.94511657 -0.94174970 -0.93822317 -0.93453650 -0.93068950 -0.92668229 -0.92251525 -0.91818906 -0.91370464 -0.90906315 -0.90426599 -0.89931478 -0.89421134 -0.88895769 -0.88355604 -0.87800875 -0.87228677 -0.86642280 -0.86041965 -0.85428026 -0.84800765 -0.84164018 -0.83514712 -0.82853166 -0.82179697 -0.81494627 -0.80798273 -0.80090953 -0.79372976 -0.78644645 -0.77906250 -0.77158068 -0.76400360 -0.75633367 -0.74857313 -0.74072398 -0.73278804 -0.72476686 -0.71666177 -0.70847382 -0.70020379 -0.69185218 -0.68341916 -0.67490463 -0.66630817 -0.65762906 -0.64886630 -0.64001861 -0.63108445 -0.62206209 -0.61294964 -0.60374507 -0.59444632 -0.58505126 -0.57555774 -0.56596366 -0.55621353 -0.54635761 -0.53639403 -0.52632106 -0.51613723 -0.50589772 -0.49554645 -0.48508282 -0.47450660 -0.46381782 -0.45301690 -0.44210456 -0.43108184 -0.41995012 -0.40871105 -0.39736662 -0.38591908 -0.37437096 -0.36272502 -0.35098425 -0.33915185 -0.32723119 -0.31522578 -0.30313929 -0.29097550 -0.27873828 -0.26643156 -0.25405937 -0.24162574 -0.22913475 -0.21659049 -0.20399707 -0.19135856 -0.17867906 -0.16596267
10 7 2.09145087 2.08992645 2.08842271 2.08694047 2.08548056 2.08404378 2.08263097 2.08124295 2.07988054 2.07854456 2.07723582 2.07595511 2.07470320 2.07348084 2.07228875 2.07112763 2.06999813 2.06890088 2.06783648 2.06680548 2.06580839 2.06484569 2.06391782 2.06302517 2.06216809 2.06134690 2.06055766 2.05980520 2.05908969 2.05841129 2.05777006 2.05716924 2.05660519 2.05607784 2.05558704 2.05513259 2.05471422 2.05433160 2.05398433 2.05367197 2.05339402 2.05314995 2.05293918 2.05276112 2.05261517 2.05250072 2.05241716 2.05236391 2.05234040 2.05234610 2.05238053 2.05244322 2.05253378 2.05265187 2.05279719 2.05296952 2.05316873 2.05339475 2.05364760 2.05392741 2.05423441 2.05456896 2.05493152 2.05532270 2.05574319 2.05619376 2.05667800 2.05719445 2.05774409 2.05832795 2.05894709 2.05959890 2.06028775 2.06101471 2.06178087 2.06258733 2.06343514 2.06432539 2.06525911 2.06623730 2.06726091 2.06833081 2.06944779 2.07061254 2.07182561 2.07308740 2.07439813 2.07575783 2.07716630 2.07862311 2.08012761 2.08167886 2.08327566 2.08491656 2.08659982 2.08832345 2.09008519 2.09188256 2.09371281 2.09557298 2.09745989 2.09937018 2.10130029 2.10324651 2.10520502 2.10717188 2.10915390 2.11113618 2.11311459 2.11508499 2.11704325 2.11897475 2.12088625 2.12277388 2.12463383 2.12646242 2.12825604 2.13001124 2.13172469 2.13339325 2.13501394 2.13658403 2.13810101 2.13956263 2.14096690 2.14231210 2.14359679 2.14481979 2.14598025 2.14707758 2.14811145 2.14908186 2.14998903 2.15083349 2.15161596 2.15233741 2.15299900 2.15360206 2.15414810 2.15463874 2.15507574 2.15546096 2.15579634 2.15608386 2.15632557 2.15652352 2.15668053 2.15679746 2.15687636 2.15691921 2.15692791 2.15690449 2.15685074 2.15676820 2.15665826 2.15652216 2.15636094 2.15617549 2.15596648 2.15573433 2.15547925 2.15520116 2.15489971 2.15457422 2.15422374 2.15384697 2.15344228 2.15300769 2.15254087 2.15203912 2.15149934 2.15091805 2.15029138 2.14961505 2.14888443 2.14809457 2.14724017 2.14631565 2.14531518 2.14423273 2.14306211 2.14179701 2.14043106 2.13895787 2.13737111 2.13566457 2.13382177 2.13184581 2.12973106 2.12747225 2.12506455 2.12251802 2.11981624 2.11695610 2.11393510 2.11075138 2.10740374 2.10389165 2.10021525 2.09637534 2.09237333 2.08821126 2.08389173 2.07941790 2.07479344 2.07002249 2.06510959 2.06005970 2.05487809 2.04957033 2.04414220 2.03859971 2.03294898 2.02719626 2.02134787 2.01541018 2.00938956 2.00329240 1.99712505 1.99089390 1.98460529
10 -7 -2.48009279 -2.49324228 -2.50638426 -2.51951845 -2.53264455 -2.54576225 -2.55887126 -2.57197126 -2.58506195 -2.59814298 -2.61121404 -2.62427478 -2.63732486 -2.65036393 -2.66339162 -2.67640758 -2.68941145 -2.70240286 -2.71538147 -2.72834693 -2.74129892 -2.75423715 -2.76716133 -2.78007124 -2.79296667 -2.80584745 -2.81878392 -2.83170537 -2.84461174 -2.85750300 -2.87037916 -2.88317017 -2.89594626 -2.90870747 -2.92145380 -2.93418530 -2.94690196 -2.95960381 -2.97229083 -2.98496300 -2.99762025 -3.01026247 -3.02288950 -3.03550115 -3.04809713 -3.06067711 -3.07324071 -3.08578744 -3.09831677 -3.11082807 -3.12332063 -3.13579363 -3.14824620 -3.16067733 -3.17308595 -3.18547089 -3.19783089 -3.21016461 -3.22247063 -3.23474747 -3.24699358 -3.25920736 -3.27138715 -3.28353127 -3.29563799 -3.30770557 -3.31979803 -3.33184735 -3.34385174 -3.35580941 -3.36771859 -3.37951304 -3.39125610 -3.40294609 -3.41458138 -3.42616040 -3.43768162 -3.44914357 -3.46054485 -3.47188410 -3.48316004 -3.49437142 -3.50551707 -3.51659585 -3.52760668 -3.53854853 -3.54942043 -3.56022146 -3.57095073 -3.58160743 -3.59219079 -3.60270010 -3.61313470 -3.62349399 -3.63377739 -3.64398436 -3.65411438 -3.66416693 -3.67414150 -3.68403757 -3.69385459 -3.70359198 -3.71324913 -3.72282537 -3.73231995 -3.74173211 -3.75111184 -3.76040641 -3.76961478 -3.77873587 -3.78776857 -3.79666319 -3.80546805 -3.81418195 -3.82280368 -3.83133203 -3.83976579 -3.84810375 -3.85634471 -3.86448746 -3.87253079 -3.88047348 -3.88831431 -3.89605204 -3.90368543 -3.91121325 -3.91863427 -3.92594728 -3.93315108 -3.94024453 -3.94722654 -3.95409610 -3.96085229 -3.96749426 -3.97402131 -3.98043283 -3.98672835 -3.99290752 -3.99897016 -4.00491620 -4.01074571 -4.01645889 -4.02205611 -4.02753783 -4.03290465 -4.03815731 -4.04332451 -4.04837815 -4.05331935 -4.05814935 -4.06286953 -4.06745655 -4.07193807 -4.07631584 -4.08059178 -4.08476797 -4.08884665 -4.09283023 -4.09672133 -4.10052268 -4.10423722 -4.10786802 -4.11141829 -4.11489138 -4.11829073 -4.12161987 -4.12488238 -4.12808188 -4.13122199 -4.13430630 -4.13733837 -4.14032165 -4.14325951 -4.14615519 -4.14901176 -4.15183214 -4.15461905 -4.15737503 -4.16010239 -4.16280324 -4.16547950 -4.16813289 -4.17076494 -4.17337699 -4.17597021 -4.17854558 -4.18111787 -4.18367359 -4.18621323 -4.18873711 -4.19124540 -4.19372458 -4.19618825 -4.19863615 -4.20106797 -4.20348329 -4.20588170 -4.20826274 -4.21062599 -4.21297106 -4.21529760 -4.21760536 -4.21989417 -4.22216398 -4.22441482 -4.22664685 -4.22886034 -4.23105564 -4.23323323 -4.23539368 -4.23753763 -4.23966581 -4.24177900 -4.24387803 -4.24596379 -4.24803716 -4.25009903 -4.25215030 -4.25419183 -4.25622452 -4.25824923
10 8 4.68156414 4.67147068 4.66135380 4.65121256 4.64104603 4.63085326 4.62063334 4.61038532 4.60010828 4.58980131 4.57946350 4.56909399 4.55869193 4.54825648 4.53778686 4.52728228 4.51674197 4.50616518 4.49555117 4.48489920 4.47420854 4.46347844 4.45270818 4.44189700 4.43104416 4.42014888 4.40915035 4.39810735 4.38701906 4.37588465 4.36470325 4.35353531 4.34231910 4.33105369 4.31973812 4.30837142 4.29695265 4.28548085 4.27395508 4.26237448 4.25073819 4.23904544 4.22729556 4.21548792 4.20362201 4.19169741 4.17971383 4.16767106 4.15556902 4.14340773 4.13118733 4.11890805 4.10657024 4.09417435 4.08172096 4.06921078 4.05664466 4.04402357 4.03134864 4.01862111 4.00584233 3.99301377 3.98013695 3.96721352 3.95424517 3.94123370 3.92810936 3.91494531 3.90174361 3.88850645 3.87523608 3.86200745 3.84875076 3.83546855 3.82216345 3.80883816 3.79549544 3.78213809 3.76876896 3.75539088 3.74200666 3.72861905 3.71523075 3.70184433 3.68846228 3.67508692 3.66172044 3.64836485 3.63502198 3.62169347 3.60838074 3.59508500 3.58180727 3.56854828 3.55530859 3.54208847 3.52888800 3.51570696 3.50254492 3.48940119 3.47627482 3.46316460 3.45006909 3.43698657 3.42391511 3.41085253 3.39772493 3.38460129 3.37147879 3.35835443 3.34522505 3.33215899 3.31908133 3.30598858 3.29287718 3.27974350 3.26658387 3.25339462 3.24017207 3.22691261 3.21361270 3.20026890 3.18687791 3.17343661 3.15994205 3.14639151 3.13278252 3.11911285 3.10538057 3.09158402 3.07772182 3.06379287 3.04979639 3.03573187 3.02159906 3.00739801 2.99312904 2.97879271 2.96438982 2.94992142 2.93538872 2.92079315 2.90613629 2.89141986 2.87664570 2.86181570 2.84685013 2.83183215 2.81676378 2.80164709 2.78648411 2.77135985 2.75619377 2.74098777 2.72574369 2.71046329 2.69514821 2.67979999 2.66442002 2.64900955 2.63356965 2.61810121 2.60260495 2.58708134 2.57153067 2.55595297 2.54034804 2.52471538 2.50905425 2.49336354 2.47764181 2.46188722 2.44609754 2.43027011 2.41440191 2.39848956 2.38252932 2.36651715 2.35044871 2.33431944 2.31812462 2.30185939 2.28551880 2.26909791 2.25259180 2.23599569 2.21921323 2.20233064 2.18534376 2.16824877 2.15104220 2.13381576 2.11647349 2.09901335 2.08143385 2.06373399 2.04591334 2.02797202 2.00991067 1.99173047 1.97343309 1.95502067 1.93649580 1.91786144 1.89912091 1.88027779 1.86133591 1.84229923 1.82317190 1.80395811 1.78466214 1.76528831 1.74584092 1.72632428 1.70674268 1.68710045 1.66740190 1.64765136 1.62785315 1.60801161 1.58813107
10 -8 0.77769764 0.75820199 0.73869359 0.71917194 0.69963652 0.68008684 0.66052237 0.64094261 0.62134702 0.60173506 0.58210619 0.56245984 0.54279543 0.52311235 0.50340998 0.48368766 0.46394471 0.44418043 0.42439408 0.40458491 0.38475214 0.36489498 0.34501264 0.32510432 0.30516919 0.28520645 0.26510566 0.24497528 0.22481448 0.20462240 0.18439816 0.16425137 0.14407097 0.12385604 0.10360558 0.08331858 0.06299400 0.04263071 0.02222758 0.00178342 -0.01870301 -0.03923300 -0.05980787 -0.08042901 -0.10109782 -0.12181572 -0.14258418 -0.16340463 -0.18427854 -0.20520731 -0.22619234 -0.24723491 -0.26833626 -0.28949752 -0.31071969 -0.33200370 -0.35335032 -0.37476019 -0.39623382 -0.41777159 -0.43937376 -0.46104048 -0.48277176 -0.50456751 -0.52642755 -0.54835156 -0.57045980 -0.59263176 -0.61486683 -0.63716425 -0.65952315 -0.68182020 -0.70417598 -0.72658926 -0.74905866 -0.77158266 -0.79415959 -0.81678760 -0.83946471 -0.86218878 -0.88495752 -0.90776852 -0.93061924 -0.95350701 -0.97642906 -0.99938250 -1.02236437 -1.04537158 -1.06840098 -1.09144932 -1.11451326 -1.13758940 -1.16067424 -1.18376418 -1.20685555 -1.22994459 -1.25302743 -1.27610010 -1.29915854 -1.32219858 -1.34521599 -1.36820643 -1.39116550 -1.41408872 -1.43697155 -1.45980938 -1.48272231 -1.50558028 -1.52837850 -1.55111216 -1.57377644 -1.59624362 -1.61863270 -1.64093901 -1.66315790 -1.68528483 -1.70731532 -1.72924498 -1.75106956 -1.77278493 -1.79438712 -1.81587235 -1.83723702 -1.85847776 -1.87959142 -1.90057512 -1.92142621 -1.94214235 -1.96272147 -1.98316180 -2.00346188 -2.02362055 -2.04363698 -2.06351064 -2.08324132 -2.10282915 -2.12227456 -2.14157830 -2.16074142 -2.17976524 -2.19865136 -2.21740164 -2.23601815 -2.25450318 -2.27285922 -2.29108892 -2.30929398 -2.32737718 -2.34534164 -2.36319060 -2.38092738 -2.39845960 -2.41588759 -2.43321478 -2.45044458 -2.46758041 -2.48462563 -2.50158356 -2.51845745 -2.53525042 -2.55196549 -2.56860551 -2.58517318 -2.60167099 -2.61810122 -2.63446592 -2.65076686 -2.66700554 -2.68318315 -2.69930055 -2.71535824 -2.73135633 -2.74729452 -2.76317212 -2.77898801 -2.79474071 -2.81042832 -2.82604858 -2.84159885 -2.85707624 -2.87247756 -2.88779941 -2.90303821 -2.91819026 -2.93325175 -2.94821882 -2.96316878 -2.97801546 -2.99275503 -3.00738381 -3.02189832 -3.03621723 -3.05041707 -3.06449534 -3.07844994 -3.09227919 -3.10598186 -3.11955725 -3.13300515 -3.14632586 -3.15952017 -3.17258936 -3.18553522 -3.19835998 -3.21106630 -3.22365724 -3.23613624 -3.24850703 -3.26077369 -3.27294050 -3.28501198 -3.29699284 -3.30888789 -3.32070207 -3.33244039 -3.34410789 -3.35570965 -3.36725071 -3.37873613 -3.39017094 -3.40156021
10 9 0.78767905 0.77626860 0.76484383 0.75340417 0.74194904 0.73047786 0.71899008 0.70748513 0.69596247 0.68442155 0.67286185 0.66128287 0.64968408 0.63806501 0.62642517 0.61476406 0.60308119 0.59137608 0.57964820 0.56789702 0.55612200 0.54432254 0.53249802 0.52064779 0.50877115 0.49686735 0.48487018 0.47284394 0.46078778 0.44870082 0.43658215 0.42449720 0.41237913 0.40022704 0.38804007 0.37581731 0.36355787 0.35126081 0.33892518 0.32655000 0.31413421 0.30167673 0.28917639 0.27663196 0.26404209 0.25140540 0.23872034 0.22598532 0.21319859 0.20035835 0.18746268 0.17450958 0.16149696 0.14842269 0.13528456 0.12208034 0.10880779 0.09546464 0.08204867 0.06855765 0.05498946 0.04134200 0.02761330 0.01380148 -0.00009520 -0.01407836 -0.02822677 -0.04246533 -0.05679513 -0.07121703 -0.08573169 -0.10025963 -0.11487985 -0.12959225 -0.14439644 -0.15929179 -0.17427738 -0.18935202 -0.20451426 -0.21976238 -0.23509446 -0.25050835 -0.26600169 -0.28157196 -0.29721645 -0.31293232 -0.32871660 -0.34456618 -0.36047790 -0.37644849 -0.39247468 -0.40855314 -0.42468058 -0.44085372 -0.45706932 -0.47332420 -0.48961529 -0.50593961 -0.52229428 -0.53867657 -0.55508388 -0.57151377 -0.58796393 -0.60443225 -0.62091678 -0.63741573 -0.65401801 -0.67063180 -0.68725583 -0.70388897 -0.72053026 -0.73708812 -0.75365255 -0.77022294 -0.78679884 -0.80337983 -0.81996558 -0.83655580 -0.85315026 -0.86974871 -0.88635088 -0.90295650 -0.91956522 -0.93617660 -0.95279013 -0.96940516 -0.98602090 -1.00263641 -1.01925056 -1.03586202 -1.05246929 -1.06907061 -1.08566400 -1.10224726 -1.11881795 -1.13537342 -1.15191083 -1.16842711 -1.18491903 -1.20138319 -1.21781606 -1.23421396 -1.25057311 -1.26688965 -1.28315962 -1.29937900 -1.31563215 -1.33182588 -1.34795600 -1.36401830 -1.38000861 -1.39583629 -1.41158466 -1.42724975 -1.44282770 -1.45831474 -1.47370720 -1.48900153 -1.50419433 -1.51928235 -1.53426252 -1.54913197 -1.56388803 -1.57852827 -1.59305051 -1.60745284 -1.62173363 -1.63589155 -1.64992558 -1.66383503 -1.67761956 -1.69127916 -1.70481418 -1.71822534 -1.73151371 -1.74468071 -1.75772813 -1.77065810 -1.78347308 -1.79617585 -1.80876947 -1.82125726 -1.83364282 -1.84592990 -1.85812247 -1.87022458 -1.88230602 -1.89430450 -1.90622431 -1.91806973 -1.92984495 -1.94149045 -1.95307452 -1.96460094 -1.97607335 -1.98749522 -1.99886987 -2.01020045 -2.02148993 -2.03274108 -2.04395653 -2.05513870 -2.06628985 -2.07741206 -2.08850723 -2.09957710 -2.11062327 -2.12164716 -2.13265007 -2.14363320 -2.15459767 -2.16554451 -2.17647475 -2.18738937 -2.19828933 -2.20917560 -2.22004914 -2.23091093 -2.24176194 -2.25260317 -2.26343558
10 -9 -1.99403911 -2.00066719 -2.00727653 -2.01386638 -2.02043599 -2.02698462 -2.03351152 -2.04001592 -2.04649708 -2.05295422 -2.05938656 -2.06579330 -2.07217362 -2.07852667 -2.08485158 -2.09114745 -2.09741334 -2.10364827 -2.10985121 -2.11602106 -2.12215667 -2.12825679 -2.13432010 -2.14034518 -2.14633050 -2.15227445 -2.15820748 -2.16409506 -2.16993518 -2.17572574 -2.18146456 -2.18711849 -2.19271661 -2.19825646 -2.20373549 -2.20915107 -2.21450044 -2.21978075 -2.22498905 -2.23012226 -2.23517719 -2.24015055 -2.24503890 -2.24983869 -2.25454625 -2.25915781 -2.26366947 -2.26807722 -2.27237696 -2.27656446 -2.28063543 -2.28458545 -2.28841004 -2.29210462 -2.29566456 -2.29908517 -2.30236171 -2.30548940 -2.30846346 -2.31127909 -2.31393150 -2.31641592 -2.31872762 -2.32086192 -2.32281416 -2.32457979 -2.32616237 -2.32754724 -2.32872997 -2.32970628 -2.33047201 -2.33102071 -2.33135333 -2.33146621 -2.33135587 -2.33101904 -2.33045258 -2.32965359 -2.32861937 -2.32734743 -2.32583550 -2.32408155 -2.32208380 -2.31984070 -2.31735096 -2.31461352 -2.31162760 -2.30839263 -2.30490832 -2.30117463 -2.29719174 -2.29296013 -2.28848047 -2.28375371 -2.27878100 -2.27356371 -2.26810341 -2.26240186 -2.25646097 -2.25028281 -2.24386955 -2.23722347 -2.23034691 -2.22324227 -2.21591200 -2.20835856 -2.20054121 -2.19250325 -2.18424716 -2.17577537 -2.16709028 -2.15824328 -2.14918980 -2.13993197 -2.13047179 -2.12081116 -2.11095183 -2.10089539 -2.09064332 -2.08019693 -2.06955738 -2.05872570 -2.04770277 -2.03648933 -2.02508601 -2.01349328 -2.00171151 -1.98974096 -1.97758177 -1.96523401 -1.95269764 -1.93997257 -1.92705865 -1.91395568 -1.90066341 -1.88718158 -1.87350988 -1.85964799 -1.84559560 -1.83135241 -1.81691814 -1.80229259 -1.78747558 -1.77246704 -1.75726697 -1.74187549 -1.72620690 -1.71034539 -1.69429144 -1.67804569 -1.66160888 -1.64507304 -1.62835014 -1.61144134 -1.59434794 -1.57707143 -1.55961343 -1.54197578 -1.52416048 -1.50616971 -1.48800586 -1.46967152 -1.45116947 -1.43250271 -1.41367444 -1.39468806 -1.37554717 -1.35625557 -1.33681729 -1.31723657 -1.29751790 -1.27766602 -1.25768591 -1.23758280 -1.21736213 -1.19702954 -1.17659081 -1.15605186 -1.13541875 -1.11469762 -1.09389471 -1.07301633 -1.05206884 -1.03105864 -1.00999206 -0.98887541 -0.96759881 -0.94628397 -0.92493685 -0.90356319 -0.88216847 -0.86087461 -0.83956988 -0.81825876 -0.79694543 -0.77563370 -0.75432703 -0.73302856 -0.71174105 -0.69046693 -0.66920827 -0.64796685 -0.62674408 -0.60554109 -0.58435869 -0.56319740 -0.54205744 -0.52093878 -0.49984113 -0.47876399 -0.45770672 -0.43666851 -0.41564849 -0.39464569 -0.37365907 -0.35268759 -0.33173016 -0.31078571 -0.28985315 -0.26893140 -0.24801939
10 10 -0.52936946 -0.55135928 -0.57332329 -0.59526046 -0.61716976 -0.63905017 -0.66090065 -0.68272018 -0.70450772 -0.72626223 -0.74798265 -0.76966790 -0.79131687 -0.81292842 -0.83450139 -0.85603455 -0.87752667 -0.89897644 -0.92038252 -0.94174355 -0.96305808 -0.98432466 -1.00554178 -1.02670789 -1.04782141 -1.06888071 -1.08999904 -1.11105912 -1.13205917 -1.15299737 -1.17387187 -1.19456757 -1.21519654 -1.23575688 -1.25624666 -1.27666397 -1.29700686 -1.31727338 -1.33746158 -1.35756950 -1.37759519 -1.39753673 -1.41739218 -1.43715966 -1.45683730 -1.47642324 -1.49591570 -1.51531289 -1.53461311 -1.55381464 -1.57291583 -1.59191504 -1.61081068 -1.62960119 -1.64828505 -1.66686083 -1.68532715 -1.70368276 -1.72192646 -1.74005719 -1.75807400 -1.77597605 -1.79376264 -1.81143320 -1.82898730 -1.84642466 -1.86383972 -1.88113663 -1.89831556 -1.91537686 -1.93232101 -1.94905729 -1.96567914 -1.98218755 -1.99858361 -2.01486862 -2.03104399 -2.04711130 -2.06307230 -2.07892887 -2.09468304 -2.11033700 -2.12589308 -2.14135379 -2.15672175 -2.17199978 -2.18719081 -2.20229797 -2.21732452 -2.23227388 -2.24714963 -2.26195547 -2.27669526 -2.29137301 -2.30599282 -2.32055894 -2.33507570 -2.34954755 -2.36397901 -2.37837466 -2.39273919 -2.40707728 -2.42139369 -2.43569319 -2.44998057 -2.46426060 -2.47861628 -2.49297417 -2.50733904 -2.52171557 -2.53610836 -2.55044330 -2.56480305 -2.57919174 -2.59361334 -2.60807168 -2.62257035 -2.63711280 -2.65170221 -2.66634159 -2.68103366 -2.69578091 -2.71058555 -2.72544951 -2.74037442 -2.75536163 -2.77041214 -2.78552665 -2.80070551 -2.81594875 -2.83125606 -2.84662680 -2.86205997 -2.87755424 -2.89310796 -2.90871914 -2.92438548 -2.94010438 -2.95587290 -2.97168784 -2.98754568 -3.00344263 -3.01937461 -3.03533727 -3.05132600 -3.06733593 -3.08344980 -3.09957447 -3.11570428 -3.13183331 -3.14795544 -3.16397660 -3.17997825 -3.19595380 -3.21189646 -3.22779931 -3.24365523 -3.25945697 -3.27519716 -3.29086826 -3.30646262 -3.32197245 -3.33738987 -3.35270687 -3.36791537 -3.38300719 -3.39797406 -3.41280766 -3.42749963 -3.44204153 -3.45642492 -3.47064129 -3.48468215 -3.49853901 -3.51220344 -3.52566705 -3.53892159 -3.55195893 -3.56477111 -3.57735040 -3.58968933 -3.60178071 -3.61361770 -3.62519386 -3.63650316 -3.64754006 -3.65835771 -3.66889037 -3.67913411 -3.68908572 -3.69874268 -3.70805303 -3.71706925 -3.72579119 -3.73421952 -3.74235569 -3.75020198 -3.75776146 -3.76503799 -3.77203619 -3.77876135 -3.78521947 -3.79141714 -3.79736155 -3.80306043 -3.80852196 -3.81375477 -3.81876785 -3.82357050 -3.82817229 -3.83258296 -3.83681241 -3.84087059 -3.84476752 -3.84851327 -3.85211790 -3.85559150 -3.85894414 -3.86218590 -3.86532682 -3.86837697
10 -10 -7.20238065 -7.21276354 -7.22312646 -7.23346859 -7.24378916 -7.25408737 -7.26436242 -7.27461350 -7.28483981 -7.29504056 -7.30521493 -7.31536215 -7.32548144 -7.33557203 -7.34563317 -7.35566414 -7.36566423 -7.37563276 -7.38556907 -7.39547252 -7.40534250 -7.41517838 -7.42497958 -7.43474550 -7.44447556 -7.45416920 -7.46387867 -7.47355017 -7.48318317 -7.49277711 -7.50233144 -7.51179390 -7.52121615 -7.53059768 -7.53993799 -7.54923660 -7.55849302 -7.56770679 -7.57687746 -7.58600456 -7.59508767 -7.60412633 -7.61312012 -7.62206858 -7.63097129 -7.63982779 -7.64863766 -7.65740043 -7.66611568 -7.67478298 -7.68340192 -7.69197212 -7.70049327 -7.70896508 -7.71738730 -7.72575977 -7.73408239 -7.74235511 -7.75057797 -7.75875110 -7.76687469 -7.77494905 -7.78297455 -7.79095169 -7.79888105 -7.80676333 -7.81464212 -7.82247502 -7.83026308 -7.83800745 -7.84570942 -7.85332877 -7.86090914 -7.86845219 -7.87595974 -7.88343374 -7.89087628 -7.89828957 -7.90567597 -7.91303798 -7.92037823 -7.92769950 -7.93500470 -7.94229688 -7.94957923 -7.95685504 -7.96412772 -7.97140079 -7.97867783 -7.98596253 -7.99325859 -8.00056977 -8.00789980 -8.01525246 -8.02263145 -8.03004048 -8.03748315 -8.04496301 -8.05248350 -8.06004796 -8.06765960 -8.07532149 -8.08303653 -8.09080746 -8.09863683 -8.10652699 -8.11452383 -8.12258623 -8.13071588 -8.13891423 -8.14718248 -8.15547591 -8.16384005 -8.17227528 -8.18078171 -8.18935921 -8.19800736 -8.20672548 -8.21551262 -8.22436759 -8.23328893 -8.24227494 -8.25132366 -8.26043292 -8.26960028 -8.27882307 -8.28809838 -8.29742309 -8.30679383 -8.31620701 -8.32565882 -8.33514527 -8.34466212 -8.35420496 -8.36376919 -8.37335004 -8.38294256 -8.39254165 -8.40214204 -8.41173836 -8.42132507 -8.43089653 -8.44044701 -8.44997065 -8.45946153 -8.46891363 -8.47837228 -8.48777935 -8.49712856 -8.50641358 -8.51562810 -8.52471617 -8.53372198 -8.54263930 -8.55146191 -8.56018363 -8.56879831 -8.57729982 -8.58568210 -8.59393913 -8.60206493 -8.61005362 -8.61789934 -8.62559635 -8.63313895 -8.64052157 -8.64773871 -8.65478499 -8.66165513 -8.66834399 -8.67484652 -8.68115783 -8.68727313 -8.69318781 -8.69889738 -8.70439758 -8.70968430 -8.71475368 -8.71960206 -8.72422610 -8.72862273 -8.73278921 -8.73672318 -8.74042262 -8.74388589 -8.74711175 -8.75011502 -8.75287688 -8.75539723 -8.75767640 -8.75971514 -8.76150547 -8.76306078 -8.76438311 -8.76547495 -8.76633922 -8.76697931 -8.76739904 -8.76760263 -8.76759473 -8.76738034 -8.76696484 -8.76635391 -8.76555356 -8.76457003 -8.76340981 -8.76207958 -8.76058617 -8.75893656 -8.75713786 -8.75519726 -8.75312207 -8.75091966 -8.74859743 -8.74616286 -8.74362342 -8.74098660 -8.73825988 -8.73545075 -8.73256669 -8.72961516
11 0 2.67381711 2.67796115 2.68209713 2.68622473 2.69034364 2.69445352 2.69855406 2.70264494 2.70672584 2.71079642 2.71485639 2.71890540 2.72294315 2.72696930 2.73098355 2.73498556 2.73897502 2.74295160 2.74691499 2.75086487 2.75480090 2.75872278 2.76263017 2.76652277 2.77040024 2.77426227 2.77812957 2.78198061 2.78581506 2.78963260 2.79343289 2.79719506 2.80093954 2.80466601 2.80837414 2.81206363 2.81573414 2.81938538 2.82301700 2.82662871 2.83022017 2.83379108 2.83734111 2.84086996 2.84437730 2.84786281 2.85132619 2.85476711 2.85818526 2.86158033 2.86495200 2.86829996 2.87162390 2.87492349 2.87819844 2.88144842 2.88467313 2.88787225 2.89104548 2.89419250 2.89731302 2.90040672 2.90347330 2.90651246 2.90952389 2.91250730 2.91547850 2.91842076 2.92133379 2.92421728 2.92707094 2.92987918 2.93265733 2.93540512 2.93812225 2.94080846 2.94346346 2.94608697 2.94867873 2.95123846 2.95376590 2.95626077 2.95872283 2.96115181 2.96354745 2.96590950 2.96823771 2.97053183 2.97279162 2.97501684 2.97720725 2.97936261 2.98148270 2.98356729 2.98561615 2.98762907 2.98960582 2.99154620 2.99344999 2.99531700 2.99714703 2.99893988 3.00069537 3.00241332 3.00409355 3.00573589 3.00734887 3.00892322 3.01045880 3.01195547 3.01341308 3.01482390 3.01619585 3.01752883 3.01882274 3.02007750 3.02129304 3.02246927 3.02360615 3.02470362 3.02576166 3.02678024 3.02775933 3.02869895 3.02959909 3.03045977 3.03128104 3.03206292 3.03280547 3.03350875 3.03417286 3.03479786 3.03538386 3.03593098 3.03643934 3.03690907 3.03734032 3.03773324 3.03808801 3.03840480 3.03868380 3.03892522 3.03912926 3.03929615 3.03942612 3.03951941 3.03957648 3.03959698 3.03958119 3.03952940 3.03944189 3.03931973 3.03916286 3.03897157 3.03874621 3.03848708 3.03819455 3.03786894 3.03751061 3.03711993 3.03669726 3.03624298 3.03575747 3.03524112 3.03469432 3.03411747 3.03351099 3.03287528 3.03221076 3.03151786 3.03079701 3.03004864 3.02927320 3.02847112 3.02764287 3.02678888 3.02590963 3.02500557 3.02407717 3.02312489 3.02214922 3.02115062 3.02012958 3.01908657 3.01802207 3.01693656 3.01582442 3.01469202 3.01353986 3.01236843 3.01117822 3.00997636 3.00875690 3.00752032 3.00626711 3.00499775 3.00371271 3.00241249 3.00109756 2.99976840 2.99842549 2.99706931 2.99570035 2.99431907 2.99292595 2.99152148 2.99010612 2.98868036 2.98724466 2.98579950 2.98434536 2.98288270 2.98141201 2.97993375 2.97844840 2.97695642 2.97545830 2.97395450 2.97244550 2.97093177 2.96941378
11 1 -1.66142408 -1.66215676 -1.66287422 -1.66357586 -1.66426105 -1.66492921 -1.66557972 -1.66621198 -1.66682537 -1.66741930 -1.66799315 -1.66854633 -1.66907824 -1.66958829 -1.67007588 -1.67054042 -1.67098135 -1.67139808 -1.67179003 -1.67215665 -1.67249736 -1.67281161 -1.67309883 -1.67335849 -1.67359003 -1.67379292 -1.67396747 -1.67411197 -1.67422586 -1.67430862 -1.67435970 -1.67437857 -1.67436507 -1.67431868 -1.67423889 -1.67412518 -1.67397703 -1.67379392 -1.67357531 -1.67332068 -1.67302949 -1.67270119 -1.67233523 -1.67193105 -1.67148809 -1.67100578 -1.67048355 -1.66992086 -1.66931712 -1.66867181 -1.66798437 -1.66725429 -1.66648105 -1.66566417 -1.66480317 -1.66389762 -1.66294708 -1.66195116 -1.66090949 -1.65982172 -1.65868755 -1.65750670 -1.65627892 -1.65500399 -1.65368177 -1.65231214 -1.65088715 -1.64941418 -1.64789333 -1.64632474 -1.64470867 -1.64305461 -1.64135431 -1.63960826 -1.63781705 -1.63598135 -1.63410191 -1.63217958 -1.63021528 -1.62821000 -1.62616482 -1.62408088 -1.62195939 -1.61980163 -1.61760893 -1.61538269 -1.61312432 -1.61083532 -1.60851720 -1.60617152 -1.60379986 -1.60140380 -1.59898499 -1.59654504 -1.59408559 -1.59160831 -1.58911484 -1.58660683 -1.58408593 -1.58155380 -1.57901207 -1.57646237 -1.57390631 -1.57134548 -1.56878147 -1.56621584 -1.56363605 -1.56105769 -1.55848225 -1.55591120 -1.55334595 -1.55080178 -1.54826601 -1.54573988 -1.54322458 -1.54072126 -1.53823100 -1.53575484 -1.53329375 -1.53084863 -1.52842034 -1.52600967 -1.52361735 -1.52124404 -1.51889036 -1.51655684 -1.51424398 -1.51195219 -1.50968185 -1.50743325 -1.50520663 -1.50300217 -1.50081999 -1.49866014 -1.49652262 -1.49440737 -1.49231429 -1.49024324 -1.48819402 -1.48616640 -1.48416010 -1.48217482 -1.48021023 -1.47826596 -1.47634159 -1.47443669 -1.47254052 -1.47066304 -1.46880373 -1.46696201 -1.46513727 -1.46333870 -1.46155569 -1.45978755 -1.45803360 -1.45629315 -1.45456546 -1.45284978 -1.45114536 -1.44945143 -1.44776718 -1.44609181 -1.44442453 -1.44276450 -1.44111092 -1.43946297 -1.43781984 -1.43618074 -1.43454488 -1.43291151 -1.43127988 -1.42964926 -1.42801897 -1.42638832 -1.42475670 -1.42312348 -1.42148810 -1.41985003 -1.41820877 -1.41656387 -1.41491491 -1.41326152 -1.41160338 -1.40994021 -1.40827176 -1.40659784 -1.40490907 -1.40321447 -1.40151396 -1.39980748 -1.39809499 -1.39638589 -1.39467089 -1.39295004 -1.39122342 -1.38949112 -1.38775328 -1.38601004 -1.38426155 -1.38250798 -1.38074953 -1.37898636 -1.37721868 -1.37544666 -1.37367048 -1.37189034 -1.37010640 -1.36831884 -1.36652784 -1.36473356 -1.36293617 -1.36113584 -1.35933273 -1.35752701 -1.35571883 -1.35390837 -1.35209578 -1.35028123 -1.34846488 -1.34664690 -1.34482745
11 -1 0.31252389 0.31347822 0.31442144 0.31535312 0.31627281 0.31718007 0.31807446 0.31895554 0.31982285 0.32067597 0.32151443 0.32233780 0.32314560 0.32393740 0.32471271 0.32547109 0.32621204 0.32693510 0.32763977 0.32832557 0.32899200 0.32963854 0.33026467 0.33086984 0.33145352 0.33201511 0.33255692 0.33307518 0.33356924 0.33403841 0.33448199 0.33489704 0.33528528 0.33564591 0.33597811 0.33628100 0.33655365 0.33679511 0.33700435 0.33718032 0.33732191 0.33742795 0.33749727 0.33752861 0.33752069 0.33747222 0.33738186 0.33724825 0.33707002 0.33684579 0.33657415 0.33625372 0.33588308 0.33546083 0.33498556 0.33445589 0.33387043 0.33322782 0.33252670 0.33176574 0.33094365 0.33005917 0.32911107 0.32809818 0.32701937 0.32587357 0.32465293 0.32336261 0.32200172 0.32056947 0.31906515 0.31749693 0.31585627 0.31414273 0.31235598 0.31049576 0.30856192 0.30655440 0.30447323 0.30231855 0.30009059 0.29778967 0.29541622 0.29297075 0.29045389 0.28786634 0.28520895 0.28248263 0.27968844 0.27682751 0.27390109 0.27091053 0.26785726 0.26474282 0.26156884 0.25833704 0.25504919 0.25170718 0.24831294 0.24486847 0.24137583 0.23783714 0.23425455 0.23063026 0.22696648 0.22326544 0.21950881 0.21571903 0.21189835 0.20804902 0.20417326 0.20029457 0.19639404 0.19247380 0.18853592 0.18458246 0.18061545 0.17663687 0.17264870 0.16865285 0.16465123 0.16064570 0.15663808 0.15263018 0.14862377 0.14462056 0.14062229 0.13663062 0.13264720 0.12867366 0.12471161 0.12076262 0.11682824 0.11291003 0.10900950 0.10512815 0.10126749 0.09742899 0.09361413 0.08982437 0.08606116 0.08232592 0.07862007 0.07494500 0.07130208 0.06769267 0.06409860 0.06054108 0.05702142 0.05354089 0.05010074 0.04672061 0.04338281 0.04008850 0.03683878 0.03363474 0.03047742 0.02736785 0.02430700 0.02129581 0.01833520 0.01542603 0.01256914 0.00976532 0.00701535 0.00431995 0.00167980 -0.00090444 -0.00343217 -0.00590281 -0.00831582 -0.01067072 -0.01296703 -0.01520437 -0.01738235 -0.01950066 -0.02155905 -0.02355731 -0.02549532 -0.02737300 -0.02919037 -0.03094754 -0.03264468 -0.03428208 -0.03586011 -0.03737920 -0.03884777 -0.04025794 -0.04161046 -0.04290611 -0.04414579 -0.04532416 -0.04644914 -0.04752182 -0.04854336 -0.04951497 -0.05043790 -0.05131347 -0.05214303 -0.05292797 -0.05366973 -0.05436980 -0.05502967 -0.05565089 -0.05623502 -0.05678363 -0.05729829 -0.05778055 -0.05823197 -0.05865409 -0.05904841 -0.05941645 -0.05975969 -0.06007961 -0.06037766 -0.06065531 -0.06091401 -0.06115520 -0.06138036 -0.06159094 -0.06178840
11 2 -1.82123085 -1.82035726 -1.81950312 -1.81866920 -1.81785629 -1.81706515 -1.81629657 -1.81555131 -1.81483014 -1.81413384 -1.81346316 -1.81281889 -1.81220179 -1.81161266 -1.81105227 -1.81052143 -1.81002094 -1.80955163 -1.80911432 -1.80870986 -1.80833911 -1.80800293 -1.80770223 -1.80743788 -1.80721082 -1.80702195 -1.80687151 -1.80676158 -1.80669312 -1.80666708 -1.80668443 -1.80674565 -1.80685165 -1.80700333 -1.80720159 -1.80744732 -1.80774138 -1.80808462 -1.80847787 -1.80892192 -1.80941758 -1.80996561 -1.81056675 -1.81122172 -1.81193120 -1.81269584 -1.81351623 -1.81439289 -1.81532630 -1.81631685 -1.81736485 -1.81847053 -1.81963402 -1.82085534 -1.82213444 -1.82347116 -1.82486524 -1.82631634 -1.82782401 -1.82938775 -1.83100696 -1.83268096 -1.83440902 -1.83619036 -1.83802412 -1.83990941 -1.84185605 -1.84385288 -1.84589889 -1.84799306 -1.85013433 -1.85230961 -1.85452938 -1.85679257 -1.85909812 -1.86144495 -1.86383199 -1.86625818 -1.86872249 -1.87122387 -1.87376132 -1.87633388 -1.87894062 -1.88158065 -1.88425311 -1.88695723 -1.88969227 -1.89245754 -1.89525244 -1.89807641 -1.90092895 -1.90380965 -1.90671814 -1.90965413 -1.91261739 -1.91560773 -1.91862505 -1.92166928 -1.92474042 -1.92783852 -1.93096365 -1.93411596 -1.93729563 -1.94050287 -1.94373795 -1.94700117 -1.95031098 -1.95364999 -1.95701862 -1.96041736 -1.96384674 -1.96728838 -1.97076152 -1.97426682 -1.97780499 -1.98137679 -1.98498301 -1.98862448 -1.99230207 -1.99601665 -1.99976916 -2.00356051 -2.00739166 -2.01126355 -2.01517714 -2.01913335 -2.02313311 -2.02717731 -2.03126683 -2.03540247 -2.03958504 -2.04381527 -2.04809385 -2.05242141 -2.05679854 -2.06122573 -2.06570346 -2.07023212 -2.07481203 -2.07944346 -2.08412662 -2.08886165 -2.09364864 -2.09848762 -2.10337856 -2.10832137 -2.11334344 -2.11841761 -2.12354362 -2.12872118 -2.13394992 -2.13920049 -2.14450078 -2.14985027 -2.15524837 -2.16069443 -2.16618776 -2.17172759 -2.17731310 -2.18294341 -2.18861758 -2.19433461 -2.20009342 -2.20589288 -2.21173176 -2.21760879 -2.22352259 -2.22947171 -2.23545461 -2.24146966 -2.24751513 -2.25358920 -2.25968997 -2.26581544 -2.27196352 -2.27813203 -2.28431872 -2.29052128 -2.29673732 -2.30296439 -2.30920002 -2.31544167 -2.32168682 -2.32793292 -2.33417743 -2.34041787 -2.34668595 -2.35294507 -2.35919295 -2.36542743 -2.37164646 -2.37781442 -2.38396355 -2.39009234 -2.39619945 -2.40228372 -2.40834418 -2.41438007 -2.42039080 -2.42637599 -2.43233542 -2.43826904 -2.44417697 -2.45005947 -2.45591696 -2.46174996 -2.46755913 -2.47334519 -2.47910897 -2.48485137 -2.49057335 -2.49627590 -2.50196005 -2.50762686 -2.51327740 -2.51891276 -2.52453402 -2.53014226 -2.53573858 -2.54132405 -2.54689974
11 -2 1.30368371 1.30571361 1.30774242 1.30977009 1.31179658 1.31382185 1.31584585 1.31786855 1.31988992 1.32190994 1.32392860 1.32594589 1.32796182 1.32997643 1.33198973 1.33400180 1.33601270 1.33802251 1.34003135 1.34203934 1.34404663 1.34605339 1.34805980 1.35006609 1.35207248 1.35407924 1.35609763 1.35811700 1.36013767 1.36216001 1.36418442 1.36620028 1.36821908 1.37024129 1.37226743 1.37429806 1.37633374 1.37837508 1.38042271 1.38247728 1.38453949 1.38661001 1.38868958 1.39077894 1.39287885 1.39499010 1.39711350 1.39924991 1.40140019 1.40356524 1.40574602 1.40794352 1.41015875 1.41239280 1.41464677 1.41692183 1.41921917 1.42154002 1.42388565 1.42625734 1.42865644 1.43108428 1.43354224 1.43603171 1.43855411 1.44111084 1.44371766 1.44636211 1.44904566 1.45176981 1.45453603 1.45733040 1.46016937 1.46305444 1.46598711 1.46896891 1.47200135 1.47508598 1.47822433 1.48141793 1.48466833 1.48797706 1.49134562 1.49477552 1.49826824 1.50182525 1.50544797 1.50913780 1.51289609 1.51672417 1.52062329 1.52459466 1.52863943 1.53275868 1.53695343 1.54122461 1.54557311 1.54999972 1.55450517 1.55909012 1.56375515 1.56850076 1.57332739 1.57823539 1.58322503 1.58829652 1.59347844 1.59874323 1.60409085 1.60952116 1.61503390 1.62059807 1.62624308 1.63196846 1.63777365 1.64365802 1.64962086 1.65566138 1.66177874 1.66797200 1.67424016 1.68058216 1.68699686 1.69348307 1.70003951 1.70666489 1.71335783 1.72011692 1.72694071 1.73382770 1.74077634 1.74778506 1.75485222 1.76197617 1.76915523 1.77638768 1.78367178 1.79100579 1.79838795 1.80581647 1.81328957 1.82080545 1.82836231 1.83595833 1.84359169 1.85126057 1.85900543 1.86678249 1.87458988 1.88242574 1.89028821 1.89813237 1.90599917 1.91388679 1.92179340 1.92971719 1.93765636 1.94560913 1.95357373 1.96154843 1.96953151 1.97752129 1.98551612 1.99351441 2.00151459 2.00951514 2.01751459 2.02551154 2.03350463 2.04149256 2.04947412 2.05744814 2.06541355 2.07336936 2.08131466 2.08924860 2.09717045 2.10507955 2.11297532 2.12085728 2.12872501 2.13657815 2.14441643 2.15223963 2.16004756 2.16784010 2.17565973 2.18346365 2.19125182 2.19902426 2.20678102 2.21448001 2.22216369 2.22983219 2.23748573 2.24512453 2.25274886 2.26035903 2.26795536 2.27553822 2.28310800 2.29066508 2.29820988 2.30574282 2.31326434 2.32077487 2.32827486 2.33576478 2.34324508 2.35071624 2.35817870 2.36563295 2.37307943 2.38051860 2.38795091 2.39537681 2.40279676 2.41021121 2.41762062 2.42502545 2.43242616
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12 1 -0.28375301 -0.28448260 -0.28520342 -0.28591513 -0.28661737 -0.28730979 -0.28799205 -0.28866380 -0.28932468 -0.28997436 -0.29061248 -0.29123869 -0.29185266 -0.29245403 -0.29304245 -0.29361759 -0.29417910 -0.29472664 -0.29525987 -0.29577844 -0.29628203 -0.29677029 -0.29724288 -0.29769948 -0.29813974 -0.29856333 -0.29897211 -0.29936337 -0.29973679 -0.30009203 -0.30042876 -0.30074500 -0.30104232 -0.30132041 -0.30157898 -0.30181772 -0.30203637 -0.30223463 -0.30241223 -0.30256892 -0.30270442 -0.30281849 -0.30291088 -0.30298137 -0.30302974 -0.30305578 -0.30305929 -0.30304011 -0.30299808 -0.30293306 -0.30284492 -0.30273356 -0.30259891 -0.30244089 -0.30225946 -0.30205458 -0.30182625 -0.30157447 -0.30129926 -0.30100066 -0.30067873 -0.30033352 -0.29996511 -0.29957361 -0.29915909 -0.29872169 -0.29825894 -0.29777331 -0.29726496 -0.29673404 -0.29618075 -0.29560847 -0.29501443 -0.29439887 -0.29376199 -0.29310406 -0.29242531 -0.29172601 -0.29100644 -0.29026687 -0.28950761 -0.28872897 -0.28793126 -0.28711483 -0.28628001 -0.28542717 -0.28455667 -0.28366889 -0.28276422 -0.28184305 -0.28090581 -0.27995289 -0.27898473 -0.27800175 -0.27700439 -0.27599308 -0.27496828 -0.27393042 -0.27287996 -0.27181734 -0.27074302 -0.26965746 -0.26856111 -0.26745446 -0.26633796 -0.26521209 -0.26407110 -0.26292161 -0.26176413 -0.26059916 -0.25942718 -0.25825515 -0.25707717 -0.25589374 -0.25470533 -0.25351242 -0.25231548 -0.25111496 -0.24991133 -0.24870502 -0.24749648 -0.24628611 -0.24507433 -0.24386155 -0.24264813 -0.24143446 -0.24022089 -0.23900775 -0.23779538 -0.23658408 -0.23537415 -0.23416588 -0.23295954 -0.23175539 -0.23055369 -0.22935466 -0.22815855 -0.22696557 -0.22577594 -0.22458986 -0.22340752 -0.22222910 -0.22105477 -0.21988469 -0.21871901 -0.21755787 -0.21639505 -0.21523705 -0.21408395 -0.21293586 -0.21179282 -0.21066109 -0.20953446 -0.20841297 -0.20729664 -0.20618547 -0.20507946 -0.20397860 -0.20288286 -0.20179221 -0.20070660 -0.19962597 -0.19855026 -0.19747940 -0.19641330 -0.19535188 -0.19429503 -0.19324265 -0.19219464 -0.19115088 -0.19011126 -0.18907567 -0.18804398 -0.18701609 -0.18599189 -0.18497126 -0.18395411 -0.18294035 -0.18192988 -0.18092262 -0.17991850 -0.17891744 -0.17791937 -0.17692421 -0.17593191 -0.17494240 -0.17395022 -0.17296072 -0.17197384 -0.17098952 -0.17000768 -0.16903358 -0.16806178 -0.16709219 -0.16612472 -0.16515929 -0.16419579 -0.16323412 -0.16227419 -0.16131590 -0.16035913 -0.15940381 -0.15844985 -0.15749714 -0.15654562 -0.15559521 -0.15464584 -0.15369745 -0.15274997 -0.15180334 -0.15085752 -0.14991245 -0.14896809 -0.14802439 -0.14708131 -0.14613881 -0.14519685 -0.14425538 -0.14331437 -0.14237376 -0.14143353
12 -1 -0.15135844 -0.15562320 -0.15989560 -0.16417595 -0.16846456 -0.17276172 -0.17706776 -0.18138296 -0.18570764 -0.19004210 -0.19438665 -0.19874160 -0.20310726 -0.20748395 -0.21187198 -0.21627167 -0.22068335 -0.22510734 -0.22954397 -0.23399359 -0.23845652 -0.24293311 -0.24742372 -0.25192868 -0.25644835 -0.26098311 -0.26555828 -0.27014945 -0.27475700 -0.27938131 -0.28402279 -0.28865639 -0.29330775 -0.29797728 -0.30266538 -0.30737246 -0.31209892 -0.31684517 -0.32161162 -0.32639868 -0.33120677 -0.33603628 -0.34088762 -0.34576119 -0.35065738 -0.35557658 -0.36051917 -0.36548551 -0.37047597 -0.37549088 -0.38053058 -0.38559539 -0.39068559 -0.39580149 -0.40094333 -0.40611136 -0.41130582 -0.41652690 -0.42177479 -0.42704965 -0.43235161 -0.43768079 -0.44303726 -0.44842106 -0.45383221 -0.45927070 -0.46476650 -0.47028979 -0.47584046 -0.48141835 -0.48702326 -0.49262419 -0.49825134 -0.50390441 -0.50958303 -0.51528681 -0.52101533 -0.52676810 -0.53254460 -0.53834427 -0.54416649 -0.55001063 -0.55587597 -0.56176179 -0.56766731 -0.57359170 -0.57953410 -0.58549361 -0.59146929 -0.59746015 -0.60346518 -0.60948332 -0.61551348 -0.62155454 -0.62760535 -0.63366472 -0.63973145 -0.64580432 -0.65188206 -0.65796341 -0.66404708 -0.67013178 -0.67621619 -0.68229898 -0.68837883 -0.69445440 -0.70055759 -0.70665374 -0.71274149 -0.71881949 -0.72488641 -0.73090794 -0.73691590 -0.74290901 -0.74888603 -0.75484571 -0.76078687 -0.76670833 -0.77260895 -0.77848760 -0.78434323 -0.79017477 -0.79598123 -0.80176163 -0.80751502 -0.81324050 -0.81893719 -0.82460425 -0.83024087 -0.83584627 -0.84141968 -0.84696038 -0.85246767 -0.85794087 -0.86337932 -0.86878242 -0.87414954 -0.87948012 -0.88477360 -0.89002946 -0.89524718 -0.90042629 -0.90556632 -0.91066685 -0.91572744 -0.92074772 -0.92575447 -0.93071973 -0.93564315 -0.94052440 -0.94536320 -0.95013322 -0.95486069 -0.95954536 -0.96418697 -0.96878532 -0.97334017 -0.97785131 -0.98231855 -0.98674170 -0.99112057 -0.99545498 -0.99974475 -1.00398972 -1.00818972 -1.01234459 -1.01645416 -1.02051827 -1.02453676 -1.02850948 -1.03243625 -1.03631692 -1.04015132 -1.04393928 -1.04768065 -1.05137527 -1.05502298 -1.05862366 -1.06217717 -1.06568341 -1.06914228 -1.07255373 -1.07591773 -1.07923428 -1.08250341 -1.08572522 -1.08891710 -1.09206146 -1.09515854 -1.09820865 -1.10121215 -1.10415348 -1.10704959 -1.10990105 -1.11270845 -1.11547245 -1.11819380 -1.12087327 -1.12351173 -1.12611008 -1.12866929 -1.13119039 -1.13367444 -1.13612257 -1.13853596 -1.14091581 -1.14326337 -1.14557994 -1.14786683 -1.15012538 -1.15235696 -1.15456296 -1.15674477 -1.15890381 -1.16104148 -1.16315922 -1.16525844 -1.16734056 -1.16940702 -1.17145923 -1.17349861
12 2 0.14470448 0.14525686 0.14581523 0.14637983 0.14695089 0.14752864 0.14811334 0.14870521 0.14930450 0.14991145 0.15052628 0.15114924 0.15178055 0.15242045 0.15306916 0.15372690 0.15439390 0.15507036 0.15575651 0.15645255 0.15715868 0.15787512 0.15860205 0.15933967 0.16008818 0.16084776 0.16162285 0.16240951 0.16320792 0.16401827 0.16484074 0.16567092 0.16651345 0.16736852 0.16823632 0.16911703 0.17001086 0.17091801 0.17183870 0.17277315 0.17372159 0.17468426 0.17566140 0.17665327 0.17766015 0.17868230 0.17972004 0.18077366 0.18184349 0.18292988 0.18403319 0.18515381 0.18629213 0.18744858 0.18862360 0.18981766 0.19103121 0.19226474 0.19351875 0.19479373 0.19609019 0.19740864 0.19874959 0.20011355 0.20150103 0.20291254 0.20435649 0.20582571 0.20732067 0.20884184 0.21038965 0.21195587 0.21354925 0.21517017 0.21681898 0.21849601 0.22020155 0.22193587 0.22369923 0.22549184 0.22731389 0.22916552 0.23104685 0.23295798 0.23489895 0.23686978 0.23887043 0.24090086 0.24296097 0.24505062 0.24716965 0.24931785 0.25149497 0.25370074 0.25593485 0.25819693 0.26048661 0.26280344 0.26514698 0.26751672 0.26991212 0.27233261 0.27477758 0.27724637 0.27973831 0.28225268 0.28480267 0.28737377 0.28996513 0.29257588 0.29520511 0.29783741 0.30048610 0.30315019 0.30582864 0.30852041 0.31122440 0.31393950 0.31666456 0.31939842 0.32213989 0.32488773 0.32764071 0.33039757 0.33315702 0.33591777 0.33867851 0.34143790 0.34419459 0.34694723 0.34969446 0.35243489 0.35516714 0.35788982 0.36060153 0.36330086 0.36598642 0.36865679 0.37131057 0.37394635 0.37656273 0.37915831 0.38173167 0.38428142 0.38680617 0.38930454 0.39178861 0.39424323 0.39666704 0.39905867 0.40141679 0.40372753 0.40600255 0.40824060 0.41044046 0.41260094 0.41472085 0.41679907 0.41883447 0.42082598 0.42277256 0.42467319 0.42652689 0.42833275 0.43008986 0.43179737 0.43345448 0.43506044 0.43661454 0.43811613 0.43956460 0.44095943 0.44230012 0.44358627 0.44481752 0.44599357 0.44711420 0.44817926 0.44918864 0.45014234 0.45104038 0.45188288 0.45267001 0.45340203 0.45407923 0.45470199 0.45527371 0.45579134 0.45625544 0.45666663 0.45702561 0.45733159 0.45758747 0.45779409 0.45795237 0.45806327 0.45812782 0.45814707 0.45812215 0.45805421 0.45794447 0.45779416 0.45760456 0.45737698 0.45711277 0.45681330 0.45647994 0.45611412 0.45571727 0.45529081 0.45483622 0.45435494 0.45384846 0.45331824 0.45276576 0.45219252 0.45159998 0.45098964 0.45036297 0.44972146 0.44906659
12 -2 0.18353613 0.18411335 0.18468884 0.18526252 0.18583432 0.18640418 0.18697203 0.18753779 0.18810140 0.18866280 0.18922193 0.18977872 0.19033311 0.19088505 0.19143449 0.19198138 0.19252568 0.19306735 0.19360634 0.19414265 0.19467624 0.19520709 0.19573520 0.19626056 0.19678317 0.19730303 0.19782299 0.19834022 0.19885473 0.19936656 0.19987576 0.20037963 0.20088100 0.20137994 0.20187653 0.20237086 0.20286302 0.20335313 0.20384131 0.20432769 0.20481242 0.20529566 0.20577758 0.20625839 0.20673828 0.20721747 0.20769622 0.20817478 0.20865342 0.20913245 0.20961217 0.21009292 0.21057503 0.21105888 0.21154485 0.21203332 0.21252471 0.21301944 0.21351793 0.21402062 0.21452797 0.21504044 0.21555847 0.21608254 0.21661311 0.21715064 0.21769862 0.21825459 0.21881900 0.21939233 0.21997504 0.22056431 0.22116374 0.22177375 0.22239477 0.22302721 0.22367147 0.22432796 0.22499706 0.22567914 0.22637456 0.22708370 0.22780689 0.22854447 0.22929678 0.23006412 0.23084682 0.23164517 0.23245946 0.23328997 0.23413697 0.23500072 0.23588147 0.23677945 0.23769490 0.23862804 0.23957906 0.24054818 0.24153558 0.24254143 0.24356590 0.24460915 0.24567131 0.24675253 0.24785292 0.24897259 0.25011793 0.25128294 0.25246770 0.25367226 0.25489667 0.25613412 0.25739125 0.25866807 0.25996455 0.26128068 0.26261642 0.26397171 0.26534649 0.26674067 0.26815418 0.26958690 0.27103872 0.27250952 0.27399918 0.27550754 0.27703447 0.27857979 0.28014336 0.28172500 0.28332453 0.28494178 0.28657656 0.28822868 0.28989795 0.29158417 0.29328716 0.29500671 0.29674263 0.29849471 0.30026276 0.30204657 0.30384592 0.30566062 0.30749043 0.30933515 0.31120477 0.31308900 0.31498760 0.31690033 0.31882696 0.32075661 0.32269951 0.32465540 0.32662402 0.32860511 0.33059840 0.33260362 0.33462050 0.33664875 0.33868811 0.34073828 0.34279900 0.34486999 0.34695096 0.34904164 0.35114176 0.35325105 0.35536925 0.35749608 0.35963131 0.36177469 0.36392598 0.36608498 0.36825148 0.37042528 0.37260622 0.37479413 0.37698887 0.37919032 0.38139835 0.38361286 0.38583376 0.38806096 0.39029438 0.39253395 0.39479192 0.39705599 0.39932608 0.40160214 0.40388410 0.40615942 0.40844044 0.41072709 0.41301929 0.41531696 0.41762001 0.41992834 0.42224185 0.42456043 0.42688398 0.42921237 0.43154548 0.43388319 0.43622536 0.43857186 0.44092255 0.44327729 0.44563590 0.44799824 0.45036415 0.45273343 0.45510593 0.45748146 0.45985982 0.46224084 0.46462432 0.46701008 0.46939791 0.47178765 0.47417909
12 3 0.77440174 0.77576037 0.77712402 0.77849290 0.77986721 0.78124716 0.78263294 0.78402476 0.78542281 0.78682729 0.78823841 0.78965637 0.79108136 0.79251360 0.79395329 0.79540063 0.79685583 0.79831910 0.79979064 0.80127067 0.80275939 0.80425701 0.80576375 0.80727980 0.80880540 0.81034073 0.81189452 0.81345860 0.81503317 0.81661848 0.81821472 0.81981335 0.82142326 0.82304467 0.82467781 0.82632292 0.82798023 0.82964996 0.83133236 0.83302766 0.83473610 0.83645791 0.83819333 0.83994260 0.84170596 0.84348364 0.84527589 0.84708297 0.84890511 0.85074259 0.85259568 0.85446463 0.85634975 0.85825131 0.86016961 0.86210496 0.86405768 0.86602807 0.86801647 0.87002320 0.87204858 0.87409295 0.87615661 0.87823988 0.88034308 0.88246651 0.88462225 0.88679904 0.88899713 0.89121681 0.89345833 0.89570954 0.89798283 0.90027843 0.90259655 0.90493739 0.90730112 0.90968792 0.91209794 0.91453131 0.91698815 0.91946854 0.92197258 0.92450030 0.92705174 0.92962692 0.93222581 0.93484838 0.93749459 0.94016434 0.94285752 0.94557403 0.94831370 0.95107636 0.95386181 0.95666984 0.95950021 0.96235264 0.96522684 0.96812251 0.97103931 0.97397689 0.97693486 0.97991282 0.98291037 0.98592705 0.98897909 0.99204953 0.99513787 0.99824357 1.00136609 1.00448773 1.00762489 1.01077698 1.01394340 1.01712354 1.02031676 1.02352242 1.02673988 1.02996845 1.03320748 1.03645628 1.03971417 1.04298044 1.04625440 1.04953535 1.05282258 1.05611537 1.05941302 1.06271479 1.06601997 1.06932782 1.07263762 1.07594863 1.07926012 1.08257134 1.08588156 1.08919004 1.09249605 1.09579886 1.09909774 1.10239197 1.10568082 1.10896358 1.11223954 1.11550800 1.11878610 1.12205519 1.12531458 1.12856358 1.13180150 1.13501014 1.13820650 1.14138997 1.14455991 1.14771573 1.15085682 1.15398263 1.15709258 1.16018613 1.16326277 1.16632199 1.16936330 1.17238624 1.17539034 1.17837519 1.18134039 1.18428555 1.18721033 1.19011439 1.19299744 1.19585921 1.19869946 1.20151797 1.20431457 1.20708911 1.20984147 1.21257158 1.21527938 1.21796486 1.22062803 1.22326894 1.22588768 1.22848437 1.23105915 1.23361219 1.23615753 1.23868134 1.24118390 1.24366550 1.24612645 1.24855385 1.25096152 1.25334984 1.25571920 1.25807002 1.26040272 1.26271774 1.26501555 1.26729660 1.26956140 1.27181042 1.27404417 1.27626317 1.27846794 1.28065902 1.28283695 1.28500228 1.28715556 1.28929737 1.29142825 1.29354879 1.29565955 1.29776111 1.29985404 1.30193891 1.30401631 1.30608680 1.30815097 1.31020937 1.31226260
12 -3 2.56549052 2.56364942 2.56179777 2.55993515 2.55806114 2.55617532 2.55427727 2.55236656 2.55044278 2.54850550 2.54655429 2.54458873 2.54260838 2.54061280 2.53860157 2.53657422 2.53453031 2.53246939 2.53039100 2.52829467 2.52617993 2.52404631 2.52189334 2.51972053 2.51752741 2.51531348 2.51306596 2.51079641 2.50850433 2.50618921 2.50385055 2.50150077 2.49912668 2.49672777 2.49430352 2.49185342 2.48937694 2.48687359 2.48434283 2.48178416 2.47919706 2.47658104 2.47393557 2.47126017 2.46855434 2.46581760 2.46304945 2.46024941 2.45741703 2.45455183 2.45165334 2.44872114 2.44575475 2.44275376 2.43971772 2.43664621 2.43353882 2.43039514 2.42721478 2.42399733 2.42074242 2.41744966 2.41411870 2.41074917 2.40734072 2.40389301 2.40038649 2.39683960 2.39325202 2.38962346 2.38595360 2.38226250 2.37853000 2.37475583 2.37093976 2.36708155 2.36318097 2.35923781 2.35525189 2.35122302 2.34715102 2.34303575 2.33887706 2.33467482 2.33042891 2.32613922 2.32180566 2.31742813 2.31300657 2.30854092 2.30403111 2.29947711 2.29487889 2.29023643 2.28554973 2.28081878 2.27604361 2.27122423 2.26636069 2.26145302 2.25650129 2.25150557 2.24646592 2.24138245 2.23625524 2.23108440 2.22584136 2.22055446 2.21522384 2.20984966 2.20443206 2.19900110 2.19352754 2.18801155 2.18245333 2.17685306 2.17121095 2.16552718 2.15980199 2.15403558 2.14822818 2.14238002 2.13649135 2.13056240 2.12459343 2.11858473 2.11253655 2.10644919 2.10032296 2.09415817 2.08795514 2.08171424 2.07543581 2.06912022 2.06276788 2.05637920 2.04995459 2.04349451 2.03699942 2.03046979 2.02390614 2.01730895 2.01067878 2.00401614 1.99732160 1.99059573 1.98380199 1.97697775 1.97012361 1.96324019 1.95632812 1.94942593 1.94249665 1.93554094 1.92855945 1.92155282 1.91452172 1.90746682 1.90038879 1.89328830 1.88616603 1.87902264 1.87185883 1.86467525 1.85747258 1.85025148 1.84301261 1.83575663 1.82848418 1.82119591 1.81389244 1.80657439 1.79924237 1.79189699 1.78453884 1.77716848 1.76978649 1.76239342 1.75498982 1.74757622 1.74015315 1.73272110 1.72528058 1.71783207 1.71037604 1.70291295 1.69540228 1.68788535 1.68036257 1.67283434 1.66530104 1.65780411 1.65030284 1.64279753 1.63528847 1.62777593 1.62026014 1.61274133 1.60521970 1.59769544 1.59016872 1.58263969 1.57510852 1.56757534 1.56004029 1.55250347 1.54496501 1.53742501 1.52988357 1.52234078 1.51479673 1.50725149 1.49970515 1.49215778 1.48460943 1.47706018 1.46951010 1.46195924 1.45440767 1.44685545 1.43930266
12 4 0.01332989 0.00854212 0.00375091 -0.00104386 -0.00584235 -0.01064468 -0.01545099 -0.02026141 -0.02507610 -0.02989517 -0.03471876 -0.03954701 -0.04438005 -0.04921799 -0.05406097 -0.05890909 -0.06376247 -0.06862121 -0.07348542 -0.07835517 -0.08323056 -0.08811166 -0.09299852 -0.09789122 -0.10278979 -0.10769428 -0.11263163 -0.11757502 -0.12252445 -0.12747991 -0.13244141 -0.13738184 -0.14232819 -0.14728041 -0.15223847 -0.15720230 -0.16217184 -0.16714701 -0.17212772 -0.17711387 -0.18210535 -0.18710205 -0.19210384 -0.19711057 -0.20212209 -0.20713824 -0.21215885 -0.21718374 -0.22221271 -0.22724556 -0.23228208 -0.23732206 -0.24236527 -0.24741149 -0.25246049 -0.25751203 -0.26256588 -0.26762177 -0.27267948 -0.27773875 -0.28279933 -0.28786095 -0.29292336 -0.29798629 -0.30304947 -0.30811263 -0.31320323 -0.31829325 -0.32338240 -0.32847040 -0.33355694 -0.33861405 -0.34366916 -0.34872201 -0.35377233 -0.35881987 -0.36386437 -0.36890562 -0.37394339 -0.37897750 -0.38400776 -0.38903401 -0.39405611 -0.39907393 -0.40408738 -0.40909635 -0.41410080 -0.41910067 -0.42409594 -0.42908662 -0.43407272 -0.43905429 -0.44403139 -0.44900411 -0.45397257 -0.45893688 -0.46389720 -0.46885370 -0.47380656 -0.47875598 -0.48370218 -0.48864540 -0.49358588 -0.49852388 -0.50345966 -0.50839351 -0.51335275 -0.51831064 -0.52326749 -0.52822363 -0.53317938 -0.53810807 -0.54303703 -0.54796659 -0.55289708 -0.55782882 -0.56276214 -0.56769735 -0.57263476 -0.57757469 -0.58251743 -0.58746330 -0.59241258 -0.59736557 -0.60232256 -0.60728384 -0.61224969 -0.61722041 -0.62219628 -0.62717759 -0.63216465 -0.63715774 -0.64215717 -0.64716322 -0.65217622 -0.65719646 -0.66222425 -0.66725991 -0.67230375 -0.67735609 -0.68241725 -0.68748754 -0.69256729 -0.69765682 -0.70275646 -0.70786652 -0.71301542 -0.71817552 -0.72334715 -0.72853062 -0.73372627 -0.73890598 -0.74409834 -0.74930366 -0.75452221 -0.75975428 -0.76500013 -0.77026001 -0.77553416 -0.78082281 -0.78612616 -0.79144442 -0.79677777 -0.80212636 -0.80749034 -0.81286984 -0.81826497 -0.82367581 -0.82910243 -0.83454489 -0.84000319 -0.84547734 -0.85096732 -0.85647309 -0.86199456 -0.86753167 -0.87308429 -0.87865230 -0.88423554 -0.88983387 -0.89544708 -0.90107497 -0.90671735 -0.91237396 -0.91804458 -0.92372894 -0.92945802 -0.93520044 -0.94095590 -0.94672409 -0.95250470 -0.95826581 -0.96403859 -0.96982270 -0.97561784 -0.98142367 -0.98723990 -0.99306619 -0.99890223 -1.00474771 -1.01060233 -1.01646576 -1.02233771 -1.02821786 -1.03410590 -1.04000154 -1.04590445 -1.05181434 -1.05773089 -1.06365379 -1.06958273 -1.07551740 -1.08145747 -1.08740264 -1.09335258 -1.09930698 -1.10526551 -1.11122786 -1.11719371 -1.12316275 -1.12913465
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12 5 0.86832393 0.86997680 0.87162040 0.87325435 0.87487829 0.87649185 0.87809465 0.87968633 0.88126652 0.88283485 0.88439097 0.88593451 0.88746512 0.88898246 0.89048617 0.89197593 0.89345141 0.89491228 0.89635825 0.89778901 0.89920427 0.90060376 0.90198720 0.90335435 0.90470496 0.90603879 0.90736280 0.90866942 0.90995844 0.91122967 0.91248295 0.91371143 0.91492183 0.91611401 0.91728784 0.91844320 0.91957999 0.92069808 0.92179740 0.92287784 0.92393934 0.92498182 0.92600523 0.92700952 0.92799464 0.92896057 0.92990726 0.93083469 0.93174282 0.93263164 0.93350110 0.93435117 0.93518178 0.93599288 0.93678440 0.93755626 0.93830836 0.93904061 0.93975290 0.94044511 0.94111712 0.94176881 0.94240005 0.94301070 0.94360064 0.94416973 0.94472079 0.94525050 0.94575872 0.94624533 0.94671018 0.94715079 0.94756961 0.94796650 0.94834132 0.94869394 0.94902422 0.94933200 0.94961715 0.94987952 0.95011897 0.95033538 0.95052860 0.95069851 0.95084499 0.95096791 0.95106716 0.95114263 0.95119420 0.95122177 0.95122524 0.95120448 0.95115940 0.95108987 0.95099580 0.95087706 0.95073353 0.95056511 0.95037167 0.95015310 0.94990928 0.94964010 0.94934544 0.94902520 0.94867927 0.94830754 0.94790768 0.94748154 0.94702904 0.94655007 0.94604457 0.94551541 0.94495984 0.94437779 0.94376921 0.94313401 0.94247215 0.94178358 0.94106823 0.94032606 0.93955702 0.93876106 0.93793812 0.93708817 0.93621115 0.93530701 0.93437570 0.93341718 0.93243140 0.93141829 0.93037783 0.92930995 0.92821462 0.92709177 0.92594137 0.92476338 0.92355775 0.92232444 0.92106342 0.91977466 0.91845812 0.91711380 0.91574168 0.91434173 0.91291395 0.91145835 0.90996672 0.90844698 0.90689914 0.90532321 0.90371925 0.90209625 0.90044560 0.89876735 0.89706158 0.89532835 0.89356776 0.89177991 0.88996491 0.88812288 0.88625396 0.88435830 0.88243606 0.88048743 0.87851259 0.87651176 0.87448516 0.87243304 0.87035565 0.86825329 0.86612625 0.86397484 0.86179941 0.85960033 0.85737796 0.85513272 0.85286501 0.85057527 0.84826396 0.84593154 0.84357848 0.84120526 0.83881239 0.83640036 0.83396966 0.83152081 0.82904076 0.82654339 0.82402923 0.82149881 0.81895264 0.81640526 0.81384334 0.81126740 0.80867793 0.80607545 0.80346045 0.80083341 0.79819483 0.79554516 0.79288489 0.79021446 0.78753432 0.78484490 0.78214661 0.77943989 0.77672512 0.77400269 0.77127299 0.76853638 0.76579324 0.76304391 0.76028876 0.75752812 0.75476235 0.75199179 0.74921677 0.74643765 0.74365475 0.74086843 0.73807903
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13 0 -0.22697959 -0.22604605 -0.22511114 -0.22417479 -0.22323696 -0.22229758 -0.22135661 -0.22041399 -0.21946967 -0.21852358 -0.21757568 -0.21662591 -0.21567422 -0.21472054 -0.21376483 -0.21280703 -0.21184709 -0.21088495 -0.20992055 -0.20895384 -0.20798477 -0.20701328 -0.20603931 -0.20506282 -0.20408374 -0.20310202 -0.20211220 -0.20111961 -0.20012417 -0.19912585 -0.19812457 -0.19712577 -0.19612394 -0.19511904 -0.19411099 -0.19309975 -0.19208526 -0.19106746 -0.19004631 -0.18902174 -0.18799370 -0.18696214 -0.18592699 -0.18488821 -0.18384574 -0.18279952 -0.18174950 -0.18069562 -0.17963782 -0.17857606 -0.17751028 -0.17644041 -0.17536641 -0.17428822 -0.17320579 -0.17211906 -0.17102797 -0.16993248 -0.16883253 -0.16772806 -0.16661901 -0.16550535 -0.16438701 -0.16326394 -0.16213608 -0.16100340 -0.15985958 -0.15871076 -0.15755691 -0.15639796 -0.15523386 -0.15407095 -0.15290286 -0.15172953 -0.15055091 -0.14936697 -0.14817764 -0.14698290 -0.14578268 -0.14457696 -0.14336567 -0.14214879 -0.14092627 -0.13969806 -0.13846414 -0.13722445 -0.13597897 -0.13472765 -0.13347046 -0.13220736 -0.13093832 -0.12966330 -0.12838228 -0.12709522 -0.12580210 -0.12450287 -0.12319753 -0.12188603 -0.12056836 -0.11924449 -0.11791440 -0.11657808 -0.11523548 -0.11388661 -0.11253145 -0.11116997 -0.10979465 -0.10841292 -0.10702477 -0.10563019 -0.10422917 -0.10282939 -0.10142323 -0.10001068 -0.09859174 -0.09716641 -0.09573469 -0.09429659 -0.09285210 -0.09140123 -0.08994398 -0.08848038 -0.08701041 -0.08553411 -0.08405147 -0.08256251 -0.08106726 -0.07956572 -0.07805791 -0.07654386 -0.07502359 -0.07349712 -0.07196447 -0.07042567 -0.06888075 -0.06732973 -0.06577265 -0.06420954 -0.06264043 -0.06106536 -0.05948436 -0.05789746 -0.05630471 -0.05470614 -0.05310179 -0.05149172 -0.04986708 -0.04823673 -0.04660071 -0.04495908 -0.04331188 -0.04166818 -0.04001907 -0.03836460 -0.03670482 -0.03503978 -0.03336953 -0.03169414 -0.03001365 -0.02832812 -0.02663760 -0.02494217 -0.02324186 -0.02153675 -0.01982690 -0.01811236 -0.01639319 -0.01466946 -0.01294124 -0.01120858 -0.00947156 -0.00773023 -0.00598466 -0.00423492 -0.00248108 -0.00072321 0.00103864 0.00280438 0.00457394 0.00634727 0.00812428 0.00990491 0.01168909 0.01347673 0.01526778 0.01706215 0.01886964 0.02068034 0.02249419 0.02431110 0.02613100 0.02794387 0.02975956 0.03157797 0.03339905 0.03522271 0.03704888 0.03887748 0.04070844 0.04254168 0.04437712 0.04621470 0.04805433 0.04989594 0.05173945 0.05358478 0.05543187 0.05728063 0.05913099 0.06098287 0.06283620 0.06469090 0.06654689 0.06840410 0.07026245 0.07212187 0.07398228 0.07584360 0.07770576 0.07956868 0.08143228
13 1 -0.81616469 -0.81722200 -0.81827691 -0.81932930 -0.82037908 -0.82142616 -0.82247044 -0.82351183 -0.82455022 -0.82558553 -0.82661765 -0.82764650 -0.82867197 -0.82969398 -0.83071241 -0.83172718 -0.83273818 -0.83374532 -0.83474851 -0.83574763 -0.83674259 -0.83773328 -0.83871962 -0.83970148 -0.84067878 -0.84165140 -0.84262452 -0.84359271 -0.84455584 -0.84551382 -0.84646653 -0.84740872 -0.84834549 -0.84927673 -0.85020233 -0.85112219 -0.85203621 -0.85294427 -0.85384628 -0.85474214 -0.85563173 -0.85651496 -0.85739172 -0.85826192 -0.85912546 -0.85998224 -0.86083216 -0.86167512 -0.86251105 -0.86333985 -0.86416143 -0.86497571 -0.86578263 -0.86658209 -0.86737404 -0.86815840 -0.86893513 -0.86970415 -0.87046542 -0.87121888 -0.87196450 -0.87270223 -0.87343203 -0.87415387 -0.87486770 -0.87557349 -0.87627503 -0.87696838 -0.87765352 -0.87833043 -0.87899907 -0.87965586 -0.88030444 -0.88094479 -0.88157689 -0.88220073 -0.88281630 -0.88342358 -0.88402256 -0.88461324 -0.88519560 -0.88576964 -0.88633534 -0.88689272 -0.88744176 -0.88798246 -0.88851481 -0.88903883 -0.88955450 -0.89006183 -0.89056082 -0.89105147 -0.89153379 -0.89200778 -0.89247346 -0.89293082 -0.89337989 -0.89382066 -0.89425316 -0.89467741 -0.89509342 -0.89550122 -0.89590084 -0.89629232 -0.89667569 -0.89705101 -0.89742030 -0.89778156 -0.89813483 -0.89848020 -0.89881773 -0.89914572 -0.89946611 -0.89977900 -0.90008447 -0.90038262 -0.90067355 -0.90095736 -0.90123416 -0.90150409 -0.90176724 -0.90202377 -0.90227379 -0.90251746 -0.90275493 -0.90298634 -0.90321186 -0.90343167 -0.90364593 -0.90385484 -0.90405858 -0.90425735 -0.90445136 -0.90464081 -0.90482593 -0.90500693 -0.90518405 -0.90535751 -0.90552756 -0.90569444 -0.90585839 -0.90601965 -0.90617849 -0.90633513 -0.90648985 -0.90664288 -0.90679530 -0.90694653 -0.90709682 -0.90724643 -0.90739559 -0.90754375 -0.90769195 -0.90784045 -0.90798945 -0.90813921 -0.90828993 -0.90844184 -0.90859514 -0.90875004 -0.90890674 -0.90906543 -0.90922629 -0.90938950 -0.90955522 -0.90972362 -0.90989484 -0.91006903 -0.91024632 -0.91042684 -0.91061070 -0.91079801 -0.91098887 -0.91118337 -0.91138158 -0.91158358 -0.91178943 -0.91199917 -0.91221286 -0.91243051 -0.91265214 -0.91287778 -0.91310742 -0.91334104 -0.91357862 -0.91382013 -0.91406689 -0.91431754 -0.91457200 -0.91483022 -0.91509212 -0.91535617 -0.91562369 -0.91589461 -0.91616884 -0.91644627 -0.91672682 -0.91701040 -0.91729689 -0.91758622 -0.91787826 -0.91817293 -0.91847013 -0.91876976 -0.91907171 -0.91937589 -0.91968220 -0.91999055 -0.92030083 -0.92061296 -0.92092685 -0.92124239 -0.92155949 -0.92187807 -0.92219802 -0.92251927 -0.92284171 -0.92316526 -0.92348982 -0.92381529 -0.92414160
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14 -1 0.40696623 0.40679521 0.40662457 0.40645434 0.40628453 0.40611517 0.40594625 0.40577780 0.40560984 0.40544238 0.40527543 0.40510902 0.40494315 0.40477784 0.40461311 0.40444898 0.40428545 0.40412255 0.40396029 0.40379868 0.40363774 0.40347749 0.40331794 0.40315910 0.40300099 0.40284363 0.40268618 0.40252951 0.40237365 0.40221860 0.40206439 0.40191187 0.40176021 0.40160943 0.40145954 0.40131057 0.40116253 0.40101545 0.40086935 0.40072424 0.40058015 0.40043710 0.40029512 0.40015424 0.40001447 0.39987585 0.39973841 0.39960217 0.39946718 0.39933346 0.39920106 0.39907000 0.39894033 0.39881209 0.39868533 0.39856007 0.39843638 0.39831430 0.39819387 0.39807515 0.39795818 0.39784302 0.39772972 0.39761833 0.39750890 0.39740149 0.39729559 0.39719185 0.39709031 0.39699104 0.39689410 0.39680005 0.39670841 0.39661925 0.39653261 0.39644856 0.39636715 0.39628844 0.39621248 0.39613933 0.39606904 0.39600168 0.39593729 0.39587592 0.39581764 0.39576249 0.39571052 0.39566179 0.39561634 0.39557424 0.39553551 0.39550023 0.39546843 0.39544016 0.39541547 0.39539440 0.39537702 0.39536336 0.39535346 0.39534739 0.39534518 0.39534689 0.39535255 0.39536222 0.39537594 0.39539377 0.39541588 0.39544223 0.39547288 0.39550787 0.39554725 0.39559083 0.39563885 0.39569137 0.39574843 0.39581010 0.39587641 0.39594742 0.39602320 0.39610378 0.39618922 0.39627959 0.39637492 0.39647529 0.39658074 0.39669132 0.39680711 0.39692815 0.39705450 0.39718622 0.39732336 0.39746599 0.39761417 0.39776794 0.39792737 0.39809251 0.39826342 0.39844017 0.39862279 0.39881136 0.39900591 0.39920651 0.39941321 0.39962605 0.39984510 0.40007038 0.40030325 0.40054252 0.40078823 0.40104044 0.40129918 0.40156301 0.40183338 0.40211030 0.40239380 0.40268392 0.40298068 0.40328409 0.40359416 0.40391092 0.40423438 0.40456453 0.40490138 0.40524493 0.40559517 0.40595209 0.40631568 0.40668591 0.40706277 0.40744622 0.40783624 0.40823278 0.40863580 0.40904526 0.40946110 0.40988327 0.41031171 0.41074634 0.41118711 0.41163394 0.41208675 0.41254546 0.41300998 0.41348022 0.41395609 0.41443750 0.41492701 0.41542191 0.41592209 0.41642743 0.41693783 0.41745033 0.41796760 0.41848951 0.41901594 0.41954678 0.42008189 0.42062115 0.42116443 0.42171162 0.42226257 0.42281717 0.42337528 0.42393677 0.42450152 0.42506939 0.42564025 0.42621398 0.42679044 0.42736951 0.42795106 0.42853494 0.42912105 0.42970924 0.43029938 0.43089135 0.43148501 0.43208023 0.43267690 0.43327486 0.43387400
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14 -2 -0.72590023 -0.72533920 -0.72477838 -0.72421779 -0.72365745 -0.72309735 -0.72253751 -0.72197793 -0.72141863 -0.72085961 -0.72030088 -0.71974245 -0.71918434 -0.71862654 -0.71806907 -0.71751194 -0.71695515 -0.71639871 -0.71584264 -0.71528694 -0.71473161 -0.71417668 -0.71362213 -0.71306799 -0.71251426 -0.71196094 -0.71140501 -0.71084951 -0.71029445 -0.70973984 -0.70918567 -0.70863497 -0.70808472 -0.70753492 -0.70698559 -0.70643672 -0.70588832 -0.70534039 -0.70479294 -0.70424597 -0.70369948 -0.70315347 -0.70260795 -0.70206293 -0.70151839 -0.70097435 -0.70043080 -0.69988775 -0.69934520 -0.69880315 -0.69826159 -0.69772054 -0.69717999 -0.69663994 -0.69610038 -0.69556133 -0.69502278 -0.69448472 -0.69394716 -0.69341010 -0.69287353 -0.69233745 -0.69180187 -0.69126678 -0.69073218 -0.69019807 -0.68966152 -0.68912546 -0.68858989 -0.68805481 -0.68752021 -0.68698901 -0.68645827 -0.68592801 -0.68539822 -0.68486889 -0.68434003 -0.68381163 -0.68328368 -0.68275619 -0.68222916 -0.68170258 -0.68117645 -0.68065076 -0.68012552 -0.67960072 -0.67907636 -0.67855244 -0.67802896 -0.67750590 -0.67698328 -0.67646107 -0.67593929 -0.67541791 -0.67489694 -0.67437636 -0.67385617 -0.67333636 -0.67281692 -0.67229784 -0.67177910 -0.67126071 -0.67074264 -0.67022489 -0.66970744 -0.66919030 -0.66867061 -0.66815120 -0.66763206 -0.66711319 -0.66659458 -0.66607904 -0.66556375 -0.66504869 -0.66453387 -0.66401928 -0.66350492 -0.66299078 -0.66247687 -0.66196319 -0.66144973 -0.66093650 -0.66042350 -0.65991074 -0.65939822 -0.65888595 -0.65837394 -0.65786219 -0.65735072 -0.65683953 -0.65632866 -0.65581811 -0.65530789 -0.65479804 -0.65428858 -0.65377952 -0.65327089 -0.65276273 -0.65225507 -0.65174792 -0.65124134 -0.65073535 -0.65022999 -0.64972530 -0.64922131 -0.64871807 -0.64821287 -0.64770851 -0.64720502 -0.64670246 -0.64620087 -0.64570302 -0.64520621 -0.64471049 -0.64421591 -0.64372249 -0.64323030 -0.64273936 -0.64224973 -0.64176144 -0.64127454 -0.64078907 -0.64030506 -0.63982255 -0.63934159 -0.63886221 -0.63838445 -0.63790835 -0.63743393 -0.63696123 -0.63649028 -0.63602112 -0.63555377 -0.63508826 -0.63462462 -0.63416286 -0.63370301 -0.63324510 -0.63278912 -0.63233511 -0.63188307 -0.63143301 -0.63098493 -0.63053884 -0.63009474 -0.62965262 -0.62921007 -0.62876952 -0.62833094 -0.62789432 -0.62745964 -0.62702924 -0.62660071 -0.62617402 -0.62574915 -0.62532606 -0.62490471 -0.62448508 -0.62406711 -0.62365077 -0.62323601 -0.62282279 -0.62241106 -0.62200077 -0.62159188 -0.62118432 -0.62077806 -0.62037304 -0.61996919 -0.61956648 -0.61916484 -0.61876422 -0.61836456 -0.61796581 -0.61756791 -0.61717080 -0.61677442 -0.61637873 -0.61598366 -0.61558915 -0.61519516
14 3 -0.12321197 -0.12375324 -0.12429286 -0.12483080 -0.12536696 -0.12590131 -0.12643375 -0.12696425 -0.12749272 -0.12801910 -0.12854333 -0.12906534 -0.12958507 -0.13010246 -0.13061745 -0.13112996 -0.13163995 -0.13214734 -0.13265207 -0.13315410 -0.13365335 -0.13414977 -0.13464329 -0.13513387 -0.13562145 -0.13610597 -0.13658999 -0.13707082 -0.13754838 -0.13802263 -0.13849351 -0.13895843 -0.13941991 -0.13987790 -0.14033236 -0.14078322 -0.14123044 -0.14167398 -0.14211377 -0.14254977 -0.14298193 -0.14341020 -0.14383454 -0.14425490 -0.14467122 -0.14508346 -0.14549157 -0.14589551 -0.14629523 -0.14669067 -0.14708180 -0.14746856 -0.14785090 -0.14822877 -0.14860212 -0.14897091 -0.14933508 -0.14969458 -0.15004937 -0.15039938 -0.15074458 -0.15108491 -0.15142032 -0.15175077 -0.15207619 -0.15239655 -0.15271350 -0.15302524 -0.15333169 -0.15363283 -0.15392860 -0.15421738 -0.15450076 -0.15477868 -0.15505110 -0.15531797 -0.15557924 -0.15583488 -0.15608483 -0.15632905 -0.15656749 -0.15680011 -0.15702687 -0.15724771 -0.15746261 -0.15767151 -0.15787437 -0.15807115 -0.15826181 -0.15844630 -0.15862459 -0.15879662 -0.15896237 -0.15912179 -0.15927483 -0.15942146 -0.15956165 -0.15969534 -0.15982250 -0.15994309 -0.16005708 -0.16016443 -0.16026510 -0.16035906 -0.16044628 -0.16052673 -0.16060075 -0.16066787 -0.16072805 -0.16078126 -0.16082748 -0.16086650 -0.16089856 -0.16092365 -0.16094174 -0.16095282 -0.16095688 -0.16095391 -0.16094389 -0.16092682 -0.16090269 -0.16087150 -0.16083324 -0.16078791 -0.16073552 -0.16067606 -0.16060955 -0.16053598 -0.16045537 -0.16036772 -0.16027305 -0.16017137 -0.16006270 -0.15994704 -0.15982444 -0.15969489 -0.15955844 -0.15941509 -0.15926489 -0.15910786 -0.15894404 -0.15877345 -0.15859613 -0.15841213 -0.15822149 -0.15802424 -0.15781930 -0.15760777 -0.15738971 -0.15716516 -0.15693419 -0.15669814 -0.15645585 -0.15620736 -0.15595273 -0.15569202 -0.15542529 -0.15515260 -0.15487403 -0.15458962 -0.15429945 -0.15400358 -0.15370208 -0.15339501 -0.15308246 -0.15276448 -0.15244114 -0.15211252 -0.15177870 -0.15143973 -0.15109570 -0.15074667 -0.15039272 -0.15003392 -0.14967035 -0.14930208 -0.14892918 -0.14855173 -0.14816980 -0.14778347 -0.14739281 -0.14699790 -0.14659881 -0.14619563 -0.14578844 -0.14537730 -0.14496002 -0.14453891 -0.14411407 -0.14368558 -0.14325351 -0.14282034 -0.14238381 -0.14194400 -0.14150099 -0.14105487 -0.14060573 -0.14015365 -0.13969872 -0.13924103 -0.13878067 -0.13831772 -0.13785228 -0.13738443 -0.13691426 -0.13644187 -0.13596735 -0.13549078 -0.13501226 -0.13453189 -0.13404974 -0.13356593 -0.13308053 -0.13259364 -0.13210536 -0.13161577 -0.13112497 -0.13063306 -0.13014012 -0.12964626 -0.12915155
14 -3 0.32632383 0.32674390 0.32716420 0.32758474 0.32800554 0.32842659 0.32884792 0.32926952 0.32969141 0.33011360 0.33053609 0.33095890 0.33138204 0.33180551 0.33222932 0.33265349 0.33307801 0.33350291 0.33392818 0.33435384 0.33477990 0.33520636 0.33563323 0.33606053 0.33648826 0.33691643 0.33734739 0.33777882 0.33821071 0.33864308 0.33907594 0.33950692 0.33993840 0.34037038 0.34080286 0.34123585 0.34166936 0.34210339 0.34253795 0.34297304 0.34340867 0.34384484 0.34428154 0.34471880 0.34515660 0.34559495 0.34603386 0.34647331 0.34691332 0.34735388 0.34779500 0.34823666 0.34867886 0.34912161 0.34956490 0.35000872 0.35045307 0.35089793 0.35134330 0.35178916 0.35223551 0.35268233 0.35312961 0.35357733 0.35402546 0.35447400 0.35492539 0.35537714 0.35582923 0.35628163 0.35673433 0.35718483 0.35763555 0.35808648 0.35853759 0.35898884 0.35944020 0.35989163 0.36034311 0.36079459 0.36124604 0.36169742 0.36214870 0.36259983 0.36305077 0.36350148 0.36395193 0.36440207 0.36485185 0.36530124 0.36575018 0.36619865 0.36664658 0.36709394 0.36754068 0.36798676 0.36843212 0.36887673 0.36932052 0.36976347 0.37020551 0.37064660 0.37108669 0.37152573 0.37196368 0.37240047 0.37283845 0.37327517 0.37371057 0.37414460 0.37457721 0.37500600 0.37543328 0.37585900 0.37628310 0.37670554 0.37712626 0.37754521 0.37796234 0.37837760 0.37879093 0.37920230 0.37961164 0.38001890 0.38042405 0.38082702 0.38122778 0.38162627 0.38202246 0.38241628 0.38280771 0.38319670 0.38358320 0.38396718 0.38434859 0.38472740 0.38510358 0.38547708 0.38584787 0.38621592 0.38658120 0.38694368 0.38730333 0.38766013 0.38801405 0.38836507 0.38871506 0.38906207 0.38940610 0.38974710 0.39008509 0.39041821 0.39074831 0.39107539 0.39139942 0.39172042 0.39203836 0.39235325 0.39266509 0.39297388 0.39327962 0.39358231 0.39388196 0.39417858 0.39447217 0.39476275 0.39505033 0.39533491 0.39561653 0.39589518 0.39617089 0.39644368 0.39671357 0.39698058 0.39724472 0.39750603 0.39776453 0.39802024 0.39827320 0.39852342 0.39877095 0.39901580 0.39925801 0.39949761 0.39973464 0.39996913 0.40020238 0.40043313 0.40066143 0.40088732 0.40111083 0.40133082 0.40154856 0.40176408 0.40197745 0.40218870 0.40239789 0.40260507 0.40281030 0.40301362 0.40321510 0.40341479 0.40361276 0.40380905 0.40400374 0.40419687 0.40438852 0.40457875 0.40476762 0.40495519 0.40514153 0.40532670 0.40551077 0.40569380 0.40587586 0.40605700 0.40623731 0.40641684 0.40659565 0.40677381 0.40695139
14 4 -0.09937673 -0.09952995 -0.09968305 -0.09983602 -0.09998886 -0.10014156 -0.10029412 -0.10044653 -0.10059880 -0.10075090 -0.10090284 -0.10105462 -0.10120622 -0.10135765 -0.10150889 -0.10165994 -0.10181079 -0.10196145 -0.10211189 -0.10226212 -0.10241213 -0.10256191 -0.10271146 -0.10286076 -0.10300981 -0.10315860 -0.10330794 -0.10345700 -0.10360578 -0.10375426 -0.10390243 -0.10404949 -0.10419623 -0.10434263 -0.10448869 -0.10463440 -0.10477975 -0.10492472 -0.10506929 -0.10521347 -0.10535724 -0.10550057 -0.10564346 -0.10578590 -0.10592786 -0.10606933 -0.10621029 -0.10635072 -0.10649060 -0.10662992 -0.10676864 -0.10690675 -0.10704422 -0.10718102 -0.10731712 -0.10745250 -0.10758712 -0.10772094 -0.10785394 -0.10798608 -0.10811731 -0.10824760 -0.10837691 -0.10850519 -0.10863239 -0.10875848 -0.10888409 -0.10900847 -0.10913157 -0.10925334 -0.10937373 -0.10949203 -0.10960884 -0.10972411 -0.10983779 -0.10994979 -0.11006007 -0.11016856 -0.11027518 -0.11037987 -0.11048256 -0.11058318 -0.11068164 -0.11077788 -0.11087181 -0.11096336 -0.11105245 -0.11113898 -0.11122288 -0.11130407 -0.11138245 -0.11145793 -0.11153042 -0.11159984 -0.11166608 -0.11172906 -0.11178868 -0.11184483 -0.11189743 -0.11194638 -0.11199156 -0.11203290 -0.11207027 -0.11210358 -0.11213274 -0.11215762 -0.11217824 -0.11219433 -0.11220579 -0.11221252 -0.11221442 -0.11221140 -0.11220339 -0.11219029 -0.11217200 -0.11214843 -0.11211947 -0.11208505 -0.11204506 -0.11199941 -0.11194803 -0.11189082 -0.11182771 -0.11175861 -0.11168346 -0.11160217 -0.11151468 -0.11142092 -0.11132083 -0.11121434 -0.11110141 -0.11098197 -0.11085597 -0.11072337 -0.11058412 -0.11043818 -0.11028552 -0.11012609 -0.10995988 -0.10978685 -0.10960698 -0.10942024 -0.10922663 -0.10902612 -0.10881870 -0.10860438 -0.10838191 -0.10815244 -0.10791598 -0.10767255 -0.10742213 -0.10716618 -0.10690335 -0.10663368 -0.10635717 -0.10607386 -0.10578378 -0.10548695 -0.10518341 -0.10487319 -0.10455634 -0.10423290 -0.10390291 -0.10356643 -0.10322350 -0.10287417 -0.10251850 -0.10215655 -0.10178838 -0.10141404 -0.10103361 -0.10064713 -0.10025469 -0.09985634 -0.09945215 -0.09904220 -0.09862655 -0.09820527 -0.09777844 -0.09734614 -0.09690843 -0.09646539 -0.09601710 -0.09556365 -0.09510511 -0.09464156 -0.09417051 -0.09369457 -0.09321384 -0.09272840 -0.09223834 -0.09174648 -0.09125024 -0.09074973 -0.09024504 -0.08973628 -0.08922356 -0.08870697 -0.08818664 -0.08766266 -0.08713515 -0.08660422 -0.08606999 -0.08553258 -0.08499209 -0.08444866 -0.08390240 -0.08335343 -0.08280187 -0.08224785 -0.08169148 -0.08113289 -0.08057220 -0.08000954 -0.07944502 -0.07887877 -0.07831091 -0.07774158 -0.07717088 -0.07659895 -0.07602590
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14 -14 -0.17909673 -0.18155314 -0.18400492 -0.18645186 -0.18889379 -0.19133052 -0.19376186 -0.19618763 -0.19860765 -0.20102172 -0.20342967 -0.20583131 -0.20822645 -0.21061491 -0.21299650 -0.21537103 -0.21773832 -0.22009818 -0.22245042 -0.22479486 -0.22713130 -0.22945957 -0.23177946 -0.23409079 -0.23639338 -0.23868702 -0.24098403 -0.24327161 -0.24554957 -0.24781772 -0.25007585 -0.25231156 -0.25453698 -0.25675191 -0.25895618 -0.26114957 -0.26333190 -0.26550298 -0.26766260 -0.26981058 -0.27194672 -0.27407083 -0.27618270 -0.27828215 -0.28036898 -0.28244300 -0.28450400 -0.28655180 -0.28858621 -0.29060701 -0.29261403 -0.29460707 -0.29658593 -0.29855042 -0.30050036 -0.30243554 -0.30435578 -0.30626090 -0.30815069 -0.31002497 -0.31188356 -0.31372627 -0.31555291 -0.31736329 -0.31915725 -0.32093458 -0.32270471 -0.32445768 -0.32619329 -0.32791137 -0.32961173 -0.33128508 -0.33294054 -0.33457795 -0.33619712 -0.33779789 -0.33938008 -0.34094351 -0.34248801 -0.34401342 -0.34551955 -0.34700624 -0.34847333 -0.34992063 -0.35134799 -0.35275524 -0.35414220 -0.35550872 -0.35685464 -0.35817978 -0.35948399 -0.36076711 -0.36202897 -0.36326942 -0.36448830 -0.36568545 -0.36686072 -0.36801396 -0.36914501 -0.37025373 -0.37133996 -0.37240356 -0.37344438 -0.37446228 -0.37545712 -0.37642877 -0.37738221 -0.37831192 -0.37921777 -0.38009963 -0.38095737 -0.38178639 -0.38259130 -0.38337200 -0.38412837 -0.38486029 -0.38556766 -0.38625038 -0.38690833 -0.38754144 -0.38814959 -0.38873271 -0.38929070 -0.38982349 -0.39033098 -0.39081312 -0.39126983 -0.39170104 -0.39210670 -0.39248674 -0.39284111 -0.39316976 -0.39347266 -0.39374975 -0.39400102 -0.39422642 -0.39442594 -0.39459955 -0.39474725 -0.39486902 -0.39496488 -0.39503481 -0.39507883 -0.39509696 -0.39508921 -0.39505563 -0.39499583 -0.39490998 -0.39479813 -0.39466033 -0.39449664 -0.39430822 -0.39409434 -0.39385507 -0.39359050 -0.39330072 -0.39298583 -0.39264595 -0.39228117 -0.39189163 -0.39147745 -0.39103878 -0.39057575 -0.39008851 -0.38957722 -0.38904206 -0.38848318 -0.38790078 -0.38729504 -0.38666616 -0.38601435 -0.38533982 -0.38464278 -0.38392348 -0.38318215 -0.38241903 -0.38163439 -0.38082849 -0.38000160 -0.37915400 -0.37828598 -0.37739785 -0.37648991 -0.37556247 -0.37461585 -0.37365040 -0.37266101 -0.37165326 -0.37062752 -0.36958416 -0.36852355 -0.36745199 -0.36636413 -0.36526036 -0.36414109 -0.36300670 -0.36185762 -0.36069426 -0.35951703 -0.35832637 -0.35712269 -0.35590643 -0.35467803 -0.35343792 -0.35218655 -0.35092435 -0.34965178 -0.34836928 -0.34707729 -0.34577627 -0.34446666 -0.34314893 -0.34182351 -0.34049086 -0.33915144 -0.33780568 -0.33645405 -0.33509700 -0.33373497 -0.33236842 -0.33099780
15 0 0.20367661 0.20359007 0.20350345 0.20341675 0.20332997 0.20324311 0.20315615 0.20306911 0.20298197 0.20289472 0.20280738 0.20271994 0.20263238 0.20254472 0.20245694 0.20236905 0.20228103 0.20219289 0.20210463 0.20201624 0.20192772 0.20183906 0.20175026 0.20166132 0.20157224 0.20148301 0.20139314 0.20130311 0.20121293 0.20112258 0.20103207 0.20094189 0.20085154 0.20076101 0.20067032 0.20057944 0.20048838 0.20039714 0.20030571 0.20021409 0.20012227 0.20003026 0.19993805 0.19984564 0.19975302 0.19966019 0.19956715 0.19947389 0.19938042 0.19928672 0.19919280 0.19909865 0.19900428 0.19890967 0.19881482 0.19871973 0.19862440 0.19852882 0.19843300 0.19833692 0.19824059 0.19814399 0.19804714 0.19795003 0.19785265 0.19775499 0.19765653 0.19755779 0.19745877 0.19735946 0.19725987 0.19716053 0.19706090 0.19696098 0.19686076 0.19676024 0.19665943 0.19655831 0.19645688 0.19635514 0.19625310 0.19615074 0.19604806 0.19594507 0.19584175 0.19573811 0.19563415 0.19552985 0.19542523 0.19532028 0.19521499 0.19510936 0.19500339 0.19489709 0.19479044 0.19468345 0.19457611 0.19446843 0.19436039 0.19425201 0.19414327 0.19403418 0.19392474 0.19381493 0.19370477 0.19359426 0.19348277 0.19337092 0.19325870 0.19314612 0.19303317 0.19292047 0.19280740 0.19269397 0.19258017 0.19246601 0.19235148 0.19223659 0.19212132 0.19200570 0.19188970 0.19177334 0.19165661 0.19153951 0.19142205 0.19130423 0.19118604 0.19106748 0.19094856 0.19082928 0.19070964 0.19058963 0.19046927 0.19034854 0.19022746 0.19010602 0.18998423 0.18986208 0.18973958 0.18961673 0.18949353 0.18936998 0.18924608 0.18912184 0.18899726 0.18887234 0.18874639 0.18862010 0.18849347 0.18836651 0.18823922 0.18811229 0.18798503 0.18785746 0.18772956 0.18760134 0.18747282 0.18734398 0.18721483 0.18708537 0.18695561 0.18682555 0.18669520 0.18656455 0.18643361 0.18630238 0.18617087 0.18603908 0.18590701 0.18577466 0.18564205 0.18550917 0.18537602 0.18524262 0.18510896 0.18497505 0.18484089 0.18470649 0.18457185 0.18443697 0.18430186 0.18416652 0.18403096 0.18389518 0.18375919 0.18362298 0.18348583 0.18334846 0.18321090 0.18307314 0.18293520 0.18279782 0.18266026 0.18252253 0.18238463 0.18224656 0.18210833 0.18196995 0.18183141 0.18169273 0.18155391 0.18141496 0.18127587 0.18113665 0.18099731 0.18085786 0.18071829 0.18057861 0.18043883 0.18029896 0.18015899 0.18001893 0.17987879 0.17973858 0.17959829 0.17945793 0.17931750 0.17917702 0.17903649 0.17889590 0.17875527
15 1 0.45920481 0.45900630 0.45880877 0.45861226 0.45841681 0.45822247 0.45802926 0.45783724 0.45764643 0.45745688 0.45726863 0.45708172 0.45689618 0.45671205 0.45652938 0.45634821 0.45616856 0.45599049 0.45581404 0.45563923 0.45546612 0.45529474 0.45512512 0.45495732 0.45479137 0.45462731 0.45446430 0.45430328 0.45414430 0.45398739 0.45383259 0.45368077 0.45353113 0.45338370 0.45323852 0.45309564 0.45295509 0.45281692 0.45268116 0.45254785 0.45241705 0.45228878 0.45216309 0.45204002 0.45191960 0.45180189 0.45168692 0.45157474 0.45146537 0.45135888 0.45125528 0.45115464 0.45105698 0.45096235 0.45087080 0.45078235 0.45069706 0.45061495 0.45053609 0.45046049 0.45038821 0.45031928 0.45025375 0.45019164 0.45013301 0.45007789 0.45002604 0.44997782 0.44993326 0.44989240 0.44985527 0.44982209 0.44979267 0.44976704 0.44974525 0.44972731 0.44971327 0.44970315 0.44969699 0.44969480 0.44969662 0.44970247 0.44971238 0.44972636 0.44974445 0.44976667 0.44979303 0.44982355 0.44985825 0.44989715 0.44994027 0.44998761 0.45003919 0.45009501 0.45015510 0.45021946 0.45028810 0.45036101 0.45043822 0.45051972 0.45060551 0.45069559 0.45078997 0.45088864 0.45099161 0.45109886 0.45121102 0.45132751 0.45144831 0.45157343 0.45170285 0.45183583 0.45197304 0.45211448 0.45226014 0.45241000 0.45256405 0.45272227 0.45288466 0.45305119 0.45322185 0.45339662 0.45357548 0.45375842 0.45394541 0.45413643 0.45433147 0.45453050 0.45473350 0.45494044 0.45515130 0.45536607 0.45558470 0.45580719 0.45603350 0.45626361 0.45649749 0.45673512 0.45697647 0.45722151 0.45747021 0.45772255 0.45797850 0.45823803 0.45850112 0.45876773 0.45903932 0.45931442 0.45959299 0.45987500 0.46016042 0.46044764 0.46073816 0.46103197 0.46132903 0.46162929 0.46193274 0.46223934 0.46254905 0.46286184 0.46317768 0.46349652 0.46381835 0.46414310 0.46447077 0.46480129 0.46513465 0.46547079 0.46580969 0.46615131 0.46649560 0.46684253 0.46719206 0.46754415 0.46789876 0.46825585 0.46861538 0.46897731 0.46934161 0.46970822 0.47007710 0.47044823 0.47082154 0.47119701 0.47157459 0.47195423 0.47233799 0.47272375 0.47311146 0.47350108 0.47389256 0.47428372 0.47467662 0.47507123 0.47546751 0.47586539 0.47626485 0.47666582 0.47706827 0.47747215 0.47787741 0.47828400 0.47869188 0.47910100 0.47951131 0.47992277 0.48033532 0.48074892 0.48116352 0.48157907 0.48199553 0.48241285 0.48283097 0.48324986 0.48366947 0.48408974 0.48451063 0.48493210 0.48535409 0.48577655 0.48619945
15 -1 0.58154718 0.58137849 0.58121008 0.58104198 0.58087418 0.58070670 0.58053955 0.58037274 0.58020629 0.58004020 0.57987449 0.57970916 0.57954423 0.57937972 0.57921562 0.57905196 0.57888873 0.57872596 0.57856366 0.57840183 0.57824049 0.57807964 0.57791930 0.57775948 0.57760019 0.57744144 0.57728237 0.57712386 0.57696593 0.57680859 0.57665184 0.57649655 0.57634188 0.57618782 0.57603439 0.57588159 0.57572945 0.57557797 0.57542715 0.57527702 0.57512756 0.57497881 0.57483075 0.57468342 0.57453680 0.57439092 0.57424577 0.57410138 0.57395774 0.57381487 0.57367277 0.57353145 0.57339093 0.57325121 0.57311229 0.57297419 0.57283691 0.57270046 0.57256485 0.57243009 0.57229618 0.57216313 0.57203094 0.57189962 0.57176918 0.57163962 0.57151025 0.57138178 0.57125421 0.57112755 0.57100181 0.57087766 0.57075442 0.57063209 0.57051067 0.57039016 0.57027058 0.57015190 0.57003414 0.56991730 0.56980137 0.56968635 0.56957224 0.56945904 0.56934674 0.56923534 0.56912484 0.56901524 0.56890652 0.56879868 0.56869172 0.56858563 0.56848041 0.56837605 0.56827253 0.56816986 0.56806803 0.56796703 0.56786684 0.56776747 0.56766889 0.56757111 0.56747411 0.56737788 0.56728241 0.56718770 0.56709321 0.56699945 0.56690642 0.56681409 0.56672247 0.56663202 0.56654223 0.56645310 0.56636459 0.56627672 0.56618944 0.56610276 0.56601666 0.56593111 0.56584611 0.56576164 0.56567768 0.56559421 0.56551122 0.56542869 0.56534661 0.56526494 0.56518369 0.56510281 0.56502231 0.56494216 0.56486234 0.56478283 0.56470361 0.56462467 0.56454599 0.56446754 0.56438931 0.56431127 0.56423342 0.56415573 0.56407819 0.56400077 0.56392346 0.56384624 0.56376867 0.56369117 0.56361370 0.56353625 0.56345881 0.56338179 0.56330474 0.56322766 0.56315052 0.56307331 0.56299602 0.56291864 0.56284115 0.56276353 0.56268578 0.56260788 0.56252983 0.56245160 0.56237319 0.56229459 0.56221579 0.56213678 0.56205754 0.56197807 0.56189837 0.56181842 0.56173821 0.56165774 0.56157700 0.56149598 0.56141468 0.56133309 0.56125121 0.56116903 0.56108654 0.56100375 0.56092064 0.56083722 0.56075348 0.56066942 0.56058458 0.56049941 0.56041391 0.56032808 0.56024193 0.56015592 0.56006959 0.55998295 0.55989599 0.55980872 0.55972114 0.55963325 0.55954508 0.55945661 0.55936785 0.55927882 0.55918952 0.55909996 0.55901014 0.55892008 0.55882978 0.55873925 0.55864851 0.55855756 0.55846641 0.55837508 0.55828357 0.55819189 0.55810006 0.55800808 0.55791596 0.55782372 0.55773137 0.55763891 0.55754636
15 2 -0.00687761 -0.00610217 -0.00532838 -0.00455633 -0.00378606 -0.00301766 -0.00225118 -0.00148669 -0.00072426 0.00003605 0.00079417 0.00155003 0.00230357 0.00305472 0.00380341 0.00454959 0.00529317 0.00603411 0.00677232 0.00750775 0.00824033 0.00896999 0.00969667 0.01042030 0.01114081 0.01185814 0.01257613 0.01329077 0.01400198 0.01470971 0.01541388 0.01611062 0.01680372 0.01749309 0.01817868 0.01886042 0.01953823 0.02021206 0.02088183 0.02154748 0.02220893 0.02286612 0.02351898 0.02416745 0.02481144 0.02545089 0.02608574 0.02671591 0.02734133 0.02796194 0.02857765 0.02918841 0.02979414 0.03039476 0.03099021 0.03158042 0.03216531 0.03274482 0.03331886 0.03388737 0.03445027 0.03500750 0.03555897 0.03610462 0.03664438 0.03717817 0.03770879 0.03823324 0.03875143 0.03926331 0.03976878 0.04026509 0.04075493 0.04123823 0.04171492 0.04218494 0.04264821 0.04310467 0.04355424 0.04399687 0.04443247 0.04486099 0.04528237 0.04569653 0.04610341 0.04650294 0.04689508 0.04727975 0.04765689 0.04802644 0.04838835 0.04874256 0.04908901 0.04942765 0.04975842 0.05008128 0.05039616 0.05070303 0.05100182 0.05129250 0.05157502 0.05184934 0.05211540 0.05237318 0.05262262 0.05286370 0.05309762 0.05332301 0.05353983 0.05374804 0.05394763 0.05413754 0.05431885 0.05449155 0.05465560 0.05481099 0.05495770 0.05509570 0.05522499 0.05534555 0.05545737 0.05556044 0.05565474 0.05574028 0.05581704 0.05588503 0.05594424 0.05599467 0.05603633 0.05606922 0.05609334 0.05610870 0.05611530 0.05611317 0.05610230 0.05608271 0.05605443 0.05601745 0.05597181 0.05591751 0.05585459 0.05578307 0.05570296 0.05561430 0.05551711 0.05541142 0.05529663 0.05517331 0.05504150 0.05490124 0.05475257 0.05459642 0.05443203 0.05425945 0.05407872 0.05388991 0.05369305 0.05348821 0.05327542 0.05305476 0.05282628 0.05259004 0.05234610 0.05209453 0.05183540 0.05156877 0.05129471 0.05101330 0.05072461 0.05042871 0.05012570 0.04981564 0.04949862 0.04917472 0.04884404 0.04850665 0.04816266 0.04781215 0.04745521 0.04709195 0.04672247 0.04634685 0.04596522 0.04557766 0.04518429 0.04478522 0.04437831 0.04396587 0.04354800 0.04312481 0.04269644 0.04226537 0.04182941 0.04138867 0.04094329 0.04049338 0.04003907 0.03958050 0.03911777 0.03865104 0.03818042 0.03770604 0.03722805 0.03674656 0.03626171 0.03577364 0.03528248 0.03478836 0.03429142 0.03379178 0.03328959 0.03278498 0.03227807 0.03176902 0.03125794 0.03074498 0.03023027 0.02971394 0.02919613 0.02867698 0.02815661
15 -2 0.03739115 0.03740461 0.03741814 0.03743175 0.03744545 0.03745924 0.03747312 0.03748709 0.03750116 0.03751533 0.03752960 0.03754398 0.03755847 0.03757307 0.03758779 0.03760262 0.03761758 0.03763265 0.03764786 0.03766319 0.03767866 0.03769426 0.03771000 0.03772588 0.03774190 0.03775807 0.03777447 0.03779103 0.03780774 0.03782461 0.03784163 0.03785873 0.03787599 0.03789341 0.03791099 0.03792875 0.03794667 0.03796477 0.03798304 0.03800148 0.03802010 0.03803889 0.03805786 0.03807701 0.03809634 0.03811585 0.03813553 0.03815540 0.03817544 0.03819566 0.03821606 0.03823663 0.03825738 0.03827830 0.03829938 0.03832064 0.03834206 0.03836364 0.03838538 0.03840727 0.03842932 0.03845151 0.03847383 0.03849630 0.03851889 0.03854161 0.03856457 0.03858764 0.03861082 0.03863410 0.03865747 0.03868079 0.03870419 0.03872766 0.03875119 0.03877476 0.03879838 0.03882202 0.03884569 0.03886936 0.03889303 0.03891669 0.03894033 0.03896392 0.03898747 0.03901095 0.03903436 0.03905767 0.03908089 0.03910398 0.03912694 0.03914976 0.03917241 0.03919489 0.03921718 0.03923926 0.03926111 0.03928273 0.03930410 0.03932519 0.03934600 0.03936650 0.03938669 0.03940654 0.03942604 0.03944517 0.03946402 0.03948246 0.03950048 0.03951806 0.03953518 0.03955174 0.03956782 0.03958339 0.03959844 0.03961297 0.03962694 0.03964035 0.03965318 0.03966541 0.03967704 0.03968804 0.03969841 0.03970812 0.03971717 0.03972555 0.03973323 0.03974020 0.03974646 0.03975199 0.03975677 0.03976080 0.03976407 0.03976656 0.03976827 0.03976917 0.03976927 0.03976855 0.03976701 0.03976463 0.03976140 0.03975733 0.03975239 0.03974659 0.03973992 0.03973237 0.03972389 0.03971450 0.03970422 0.03969302 0.03968091 0.03966796 0.03965411 0.03963934 0.03962366 0.03960707 0.03958957 0.03957115 0.03955183 0.03953159 0.03951044 0.03948839 0.03946543 0.03944158 0.03941683 0.03939118 0.03936465 0.03933724 0.03930895 0.03927979 0.03924976 0.03921888 0.03918715 0.03915457 0.03912116 0.03908692 0.03905186 0.03901600 0.03897933 0.03894187 0.03890363 0.03886461 0.03882484 0.03878431 0.03874304 0.03870104 0.03865809 0.03861442 0.03857005 0.03852500 0.03847927 0.03843313 0.03838636 0.03833896 0.03829095 0.03824234 0.03819315 0.03814341 0.03809311 0.03804228 0.03799094 0.03793910 0.03788678 0.03783400 0.03778077 0.03772712 0.03767305 0.03761860 0.03756377 0.03750858 0.03745305 0.03739721 0.03734106 0.03728463 0.03722793 0.03717098 0.03711380 0.03705641 0.03699882 0.03694105 0.03688312
15 3 0.47896851 0.47842972 0.47789159 0.47735416 0.47681743 0.47628145 0.47574624 0.47521182 0.47467822 0.47414547 0.47361359 0.47308262 0.47255257 0.47202347 0.47149535 0.47096823 0.47044214 0.46991711 0.46939315 0.46887030 0.46834858 0.46782802 0.46730863 0.46679045 0.46627349 0.46575779 0.46524054 0.46472461 0.46421001 0.46369678 0.46318492 0.46267726 0.46217101 0.46166619 0.46116283 0.46066096 0.46016059 0.45966175 0.45916445 0.45866872 0.45817459 0.45768207 0.45719118 0.45670196 0.45621441 0.45572855 0.45524442 0.45476204 0.45428141 0.45380258 0.45332554 0.45285034 0.45237699 0.45190551 0.45143592 0.45096824 0.45050251 0.45003873 0.44957693 0.44911714 0.44865937 0.44820364 0.44774999 0.44729843 0.44684898 0.44640167 0.44595410 0.44550873 0.44506560 0.44462474 0.44418616 0.44375227 0.44332069 0.44289145 0.44246458 0.44204010 0.44161805 0.44119846 0.44078134 0.44036673 0.43995467 0.43954517 0.43913828 0.43873402 0.43833243 0.43793354 0.43753738 0.43714398 0.43675339 0.43636562 0.43598073 0.43559873 0.43521968 0.43484360 0.43447052 0.43410049 0.43373354 0.43336971 0.43300902 0.43265152 0.43229723 0.43194620 0.43159846 0.43125403 0.43091297 0.43057529 0.43023920 0.42990661 0.42957753 0.42925201 0.42893006 0.42861345 0.42830043 0.42799104 0.42768530 0.42738322 0.42708485 0.42679019 0.42649927 0.42621211 0.42592872 0.42564913 0.42537335 0.42510139 0.42483327 0.42456900 0.42430860 0.42405206 0.42379940 0.42355062 0.42330573 0.42306473 0.42282763 0.42259442 0.42236510 0.42213968 0.42191814 0.42170048 0.42148670 0.42127679 0.42107073 0.42086852 0.42067014 0.42047558 0.42028483 0.42009786 0.41991368 0.41973328 0.41955666 0.41938379 0.41921465 0.41905011 0.41888920 0.41873190 0.41857820 0.41842805 0.41828142 0.41813830 0.41799864 0.41786241 0.41772959 0.41760013 0.41747401 0.41735117 0.41723160 0.41711524 0.41700207 0.41689204 0.41678511 0.41668124 0.41658038 0.41648250 0.41638755 0.41629549 0.41620627 0.41611984 0.41603617 0.41595519 0.41587686 0.41580115 0.41572798 0.41565732 0.41558912 0.41552332 0.41545988 0.41539874 0.41533954 0.41528256 0.41522775 0.41517506 0.41512443 0.41507607 0.41502965 0.41498512 0.41494242 0.41490150 0.41486231 0.41482479 0.41478889 0.41475457 0.41472176 0.41469042 0.41466050 0.41463193 0.41460468 0.41457867 0.41455388 0.41453023 0.41450768 0.41448618 0.41446567 0.41444611 0.41442743 0.41440959 0.41439253 0.41437621 0.41436056 0.41434555 0.41433110 0.41431719 0.41430374
15 -3 0.20625649 0.20635436 0.20645233 0.20655041 0.20664860 0.20674690 0.20684531 0.20694385 0.20704252 0.20714132 0.20724025 0.20733932 0.20743853 0.20753789 0.20763740 0.20773707 0.20783690 0.20793689 0.20803706 0.20813739 0.20823791 0.20833861 0.20843950 0.20854059 0.20864187 0.20874336 0.20884562 0.20894810 0.20905080 0.20915373 0.20925691 0.20935976 0.20946285 0.20956620 0.20966982 0.20977369 0.20987784 0.20998227 0.21008699 0.21019200 0.21029731 0.21040292 0.21050885 0.21061510 0.21072168 0.21082859 0.21093584 0.21104344 0.21115140 0.21125972 0.21136841 0.21147748 0.21158694 0.21169678 0.21180703 0.21191768 0.21202875 0.21214024 0.21225216 0.21236452 0.21247732 0.21259058 0.21270430 0.21281849 0.21293316 0.21304832 0.21316461 0.21328140 0.21339872 0.21351656 0.21363493 0.21375320 0.21387201 0.21399138 0.21411131 0.21423181 0.21435289 0.21447457 0.21459684 0.21471972 0.21484322 0.21496735 0.21509211 0.21521752 0.21534359 0.21547033 0.21559775 0.21572585 0.21585466 0.21598418 0.21611442 0.21624540 0.21637713 0.21650961 0.21664286 0.21677690 0.21691173 0.21704737 0.21718383 0.21732112 0.21745925 0.21759824 0.21773811 0.21787885 0.21802050 0.21816305 0.21830732 0.21845253 0.21859871 0.21874586 0.21889400 0.21904232 0.21919166 0.21934201 0.21949339 0.21964583 0.21979932 0.21995389 0.22010955 0.22026632 0.22042420 0.22058322 0.22074338 0.22090470 0.22106719 0.22123088 0.22139577 0.22156187 0.22172920 0.22189778 0.22206761 0.22223872 0.22241111 0.22258479 0.22275979 0.22293611 0.22311376 0.22329276 0.22347313 0.22365486 0.22383797 0.22402248 0.22420839 0.22439571 0.22458446 0.22477463 0.22496730 0.22516144 0.22535705 0.22555414 0.22575272 0.22595170 0.22615216 0.22635412 0.22655757 0.22676252 0.22696898 0.22717694 0.22738642 0.22759740 0.22780991 0.22802392 0.22823946 0.22845650 0.22867506 0.22889514 0.22911672 0.22933980 0.22956439 0.22979047 0.23001804 0.23024709 0.23047761 0.23070961 0.23094305 0.23117794 0.23141427 0.23165202 0.23189118 0.23213173 0.23237366 0.23261696 0.23286161 0.23310758 0.23335487 0.23360344 0.23385467 0.23410716 0.23436089 0.23461584 0.23487199 0.23512791 0.23538497 0.23564314 0.23590239 0.23616271 0.23642406 0.23668641 0.23694974 0.23721403 0.23747923 0.23774533 0.23801229 0.23828008 0.23854867 0.23881804 0.23908814 0.23935896 0.23963045 0.23990259 0.24017534 0.24044868 0.24072256 0.24099696 0.24127185 0.24154719 0.24182295 0.24209910 0.24237560 0.24265243 0.24292955
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/usr/local/conda/lib/python3.7/site-packages/spacepy/pycdf/__init__.py:1209: DeprecationWarning: Using or importing the ABCs from 'collections' instead of from 'collections.abc' is deprecated, and in 3.8 it will stop working class CDF(collections.MutableMapping):
2) generate times and locations¶
In [3]:
# generate random points
from math import pi
from numpy import sin, cos, dstack, linspace
from numpy.random import random, uniform
EARTH_RADIUS = 6371.2 # km
N_coords = 500
X = random((N_coords*2, 2))
X = X[X[..., 1] < sin(X[..., 0]*pi)][:N_coords, ...]
X[..., 0] = pi * (X[..., 0] - 0.5)
X[..., 1] = pi*(2.0*X[..., 1] / cos(X[..., 0]) - 1.0)
X *= 180./pi
lats = X[..., 0]
lons = X[..., 1]
rads = uniform(EARTH_RADIUS, 1.1*EARTH_RADIUS, N_coords)
coords = dstack((lats, lons, rads))[0]
In [4]:
#generate times
from eoxmagmod import load_model_shc
model_vires = load_model_shc(CHAOS6_CORE_LATEST)
N_times = 1000
start, end = model_vires.validity
times = linspace(start, end, num=N_times)
#times = decimal_year_to_mjd2000(model_vires.coefficients._times)
#N_times = len(times)
3) evaluate the VirES model¶
In [5]:
from numpy import empty
from eoxmagmod.magnetic_model.model import SphericalHarmomicGeomagneticModel
from eoxmagmod.magnetic_model.coefficients import (
SparseSHCoefficientsConstant,
SparseSHCoefficientsTimeDependent,
)
from eoxmagmod.magnetic_model.util import parse_file
from eoxmagmod.magnetic_model.parser_shc import parse_shc_file
def load_coeff_shc_mjd2000(path):
""" Load coefficients from an SHC file (interpolated in the MJD2000 time domain) """
data = parse_file(parse_shc_file, path)
options = {
key: decimal_year_to_mjd2000(data[key])
for key in ("validity_start", "validity_end") if key in data
}
times = data["t"]
if len(times) == 1:
return SparseSHCoefficientsConstant(
data["nm"], data["gh"][:, 0], **options
)
else:
return SparseSHCoefficientsTimeDependent(
data["nm"], data["gh"], decimal_year_to_mjd2000(times), **options
)
model_vires = SphericalHarmomicGeomagneticModel(
load_coeff_shc_mjd2000(CHAOS6_CORE_LATEST)
)
b_nec_vires = empty((N_times, N_coords, 3))
for idx, time in enumerate(times):
b_nec_vires[idx, ...] = model_vires.eval(time, coords, scale=[1, 1, -1])
4) evaluate the reference model¶
In [6]:
from chaosmagpy import load_CHAOS_shcfile
model_ref = load_CHAOS_shcfile(CHAOS6_CORE_LATEST)
b_nec_ref = empty((N_times, N_coords, 3))
for idx, time in enumerate(times):
a, b, c = model_ref(time, rads, 90.0 - lats, lons, source_list=['tdep'])
b_nec_ref[idx, :, 0] = -b
b_nec_ref[idx, :, 1] = c
b_nec_ref[idx, :, 2] = -a
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5) model comparison¶
In [7]:
from numpy import zeros, concatenate, isnan
from matplotlib import pyplot as plt
from eoxmagmod import vnorm
node_times = mjd2000_to_decimal_year(model_vires.coefficients._times)
node_val = zeros(node_times.shape)
delta_b_nec = b_nec_vires - b_nec_ref
delta_f = vnorm(b_nec_vires) - vnorm(b_nec_ref)
fig = plt.figure(figsize=(16, 16), dpi=100)
plt.title("eoxmagmod vs chaosmagpy (CHAOS-6-Core, x7)")
times_dy = mjd2000_to_decimal_year(times)
def plot(ax, x0, y0, label):
x, y = [], []
for idx in range(0, N_coords):
x.append(x0)
y.append(y0[:, idx])
x, y = concatenate(x), concatenate(y)
plt.plot(x, y, '.', markersize=2, color='#1f77b4', label='random samples')
plt.plot(node_times, node_val, '+r', markersize=2, label='interpolation nodes')
plt.ylabel(label)
plt.legend(loc='upper right')
plt.text(
0.01, 0.95, 'max: %g nT' % y[~isnan(y)].max(),
horizontalalignment='left', verticalalignment='top', transform=ax.transAxes
)
plt.text(
0.01, 0.05, 'min: %g nT' % y[~isnan(y)].min(),
horizontalalignment='left', verticalalignment='bottom', transform=ax.transAxes
)
plt.grid()
ax = plt.subplot(4, 1, 1)
plot(ax, times_dy, delta_b_nec[..., 0], "delta B_N / nT")
ax = plt.subplot(4, 1, 2)
plot(ax, times_dy, delta_b_nec[..., 1], "delta B_E / nT")
ax = plt.subplot(4, 1, 3)
plot(ax, times_dy, delta_b_nec[..., 2], "delta B_C / nT")
ax = plt.subplot(4, 1, 4)
plot(ax, times_dy, delta_f, "delta F / nT")
plt.show()
%matplotlib inline
6) plot locations¶
In [8]:
from cartopy.feature import LAND, OCEAN, COASTLINE
from cartopy.crs import Mollweide, PlateCarree
from matplotlib import pyplot as plt
from matplotlib.cm import winter as colormap
from matplotlib.colors import Normalize
from matplotlib.colorbar import ColorbarBase
from mpl_toolkits.mplot3d import Axes3D
from eoxmagmod import convert, GEOCENTRIC_SPHERICAL, GEOCENTRIC_CARTESIAN
%matplotlib inline
norm = Normalize(vmin=1,vmax=1.1)
#help(ccrs)
fig = plt.figure(figsize=(16, 16), dpi=100, facecolor='w', edgecolor='k')
ax = plt.subplot(2, 1, 1, projection=Mollweide())
gl = ax.gridlines(crs=PlateCarree(), draw_labels=False, linewidth=1, color='silver', alpha=0.5, linestyle='--')
ax.add_feature(LAND, facecolor=(1.0, 1.0, 0.9))
ax.add_feature(OCEAN, facecolor=(0.9, 1.0, 1.0))
ax.add_feature(COASTLINE, edgecolor='silver')
obj = ax.scatter(
lons, lats, c=rads/EARTH_RADIUS, s=1.5,
cmap=colormap, norm=norm, transform=PlateCarree(),
)
cb = plt.colorbar(obj)
cb.ax.set_ylabel("r/R (R = %g km)" % EARTH_RADIUS)
ax = plt.subplot(2, 1, 2, projection='3d')
cart_coords = convert(coords, GEOCENTRIC_SPHERICAL, GEOCENTRIC_CARTESIAN)/EARTH_RADIUS
obj = ax.scatter(
cart_coords[:, 0], cart_coords[:, 1], cart_coords[:, 2],
c=rads/EARTH_RADIUS, s=1.5,
cmap=colormap, norm=norm,
)
ax.set_aspect('equal','box')
ax.set_xlabel("x/R")
ax.set_ylabel("y/R")
ax.set_zlabel("z/R")
plt.show()
