# m  q  x  a_m(q)  b_m(q)
0 1000.899999999999977263 -1938.776992382970547624 nan
0 100.2000000000000028422 -180.6332557666552816045 nan
0 10 -13.9369799566589271933 nan
0 2.5 -2.153078342041735204759 nan
0 1 -0.455138604107413580202 nan
0 0.001000000000010000051134 -4.999999453225126547267e-07 nan
0 1.000000000000000081803e-05 -4.999999999945313203914e-11 nan
0 4.999999999999999773741e-08 -1.249999999999999604094e-15 nan
0 1.000000000000000062282e-09 -5.000000000000000357712e-19 nan
0 -1000.899999999999977263 -1938.776992382970547624 nan
0 -100.2000000000000028422 -180.6332557666552816045 nan
0 -10 -13.9369799566589271933 nan
0 -2.5 -2.153078342041735204759 nan
0 -1 -0.455138604107413580202 nan
0 0.001000000000010000051134 -4.999999453225126547267e-07 nan
0 -1.000000000000000081803e-05 -4.999999999945313203914e-11 nan
0 -4.999999999999999773741e-08 -1.249999999999999604094e-15 nan
0 -1.000000000000000062282e-09 -5.000000000000000357712e-19 nan
0 0 0 nan
1 1000.899999999999977263 -1813.237048690185474698 -1938.776992382970547624
1 100.2000000000000028422 -141.6200546446913790533 -180.6332557666552816045
1 10 -2.399142400036263556018 -13.93655247925008744403
1 2.5 2.495930746446916259629 -2.076331505828794554702
1 1 1.859108072514363385608 -0.1102488169920951555092
1 0.001000000000010000051134 1.00099987498438447453 0.9989998750156143803025
1 1.000000000000000081803e-05 1.000009999987500064478 0.999989999987500044476
1 4.999999999999999773741e-08 1.000000049999999696126 0.9999999499999996377397
1 1.000000000000000062282e-09 1.00000000100000008274 0.9999999990000000282819
1 -1000.899999999999977263 -1938.776992382970547624 -1813.237048690185474698
1 -100.2000000000000028422 -180.6332557666552816045 -141.6200546446913790533
1 -10 -13.93655247925008744403 -2.399142400036263556018
1 -2.5 -2.076331505828794554702 2.495930746446916259629
1 -1 -0.1102488169920951555092 1.859108072514363385608
1 0.001000000000010000051134 1.00099987498438447453 0.9989998750156143803025
1 -1.000000000000000081803e-05 0.999989999987500044476 1.000009999987500064478
1 -4.999999999999999773741e-08 0.9999999499999996377397 1.000000049999999696126
1 -1.000000000000000062282e-09 0.9999999990000000282819 1.00000000100000008274
1 0 1 1
2 1000.899999999999977263 -1688.715546670354115122 -1813.237048690185474698
2 100.2000000000000028422 -103.6704239277319743451 -141.6200546446908958842
2 10 7.717369849779622370534 -2.382158235956955749657
2 2.5 5.613041084867152363813 3.492474366738956170764
2 1 4.371300982735085050024 3.917024772998471071617
2 0.001000000000010000051134 4.000000416666611435801 3.999999916666666877063
2 1.000000000000000081803e-05 4.000000000041667114203 3.999999999991666665977
2 4.999999999999999773741e-08 4.000000000000000888178 4
2 1.000000000000000062282e-09 4 4
2 -1000.899999999999977263 -1688.715546670354115122 -1813.237048690185474698
2 -100.2000000000000028422 -103.6704239277319743451 -141.6200546446908958842
2 -10 7.717369849779622370534 -2.382158235956955749657
2 -2.5 5.613041084867152363813 3.492474366738956170764
2 -1 4.371300982735085050024 3.917024772998471071617
2 0.001000000000010000051134 4.000000416666611435801 3.999999916666666877063
2 -1.000000000000000081803e-05 4.000000000041667114203 3.999999999991666665977
2 -4.999999999999999773741e-08 4.000000000000000888178 4
2 -1.000000000000000062282e-09 4 4
2 0 4 4
3 1000.899999999999977263 -1565.225351562717378329 -1688.715546670354115122
3 100.2000000000000028422 -66.83408783119688223451 -103.6704239276972288053
3 10 15.50278436973257534248 7.986069144681660070262
3 2.5 9.612147757658540569992 9.185709970139654956256
3 1 9.078368847203101665855 9.047739259809373990606
3 0.001000000000010000051134 9.000000062515626453319 9.0000000624843767838
3 1.000000000000000081803e-05 9.000000000006250999718 9.000000000006250999718
3 4.999999999999999773741e-08 9 9
3 1.000000000000000062282e-09 9 9
3 -1000.899999999999977263 -1688.715546670354115122 -1565.225351562717378329
3 -100.2000000000000028422 -103.6704239276972288053 -66.83408783119688223451
3 -10 7.986069144681660070262 15.50278436973257534248
3 -2.5 9.185709970139654956256 9.612147757658540569992
3 -1 9.047739259809373990606 9.078368847203101665855
3 0.001000000000010000051134 9.000000062515626453319 9.0000000624843767838
3 -1.000000000000000081803e-05 9.000000000006250999718 9.000000000006250999718
3 -4.999999999999999773741e-08 9 9
3 -1.000000000000000062282e-09 9 9
3 0 9 9
4 1000.899999999999977263 -1442.779884069085483134 -1565.225351562717378329
4 100.2000000000000028422 -31.1693555733489837678 -66.83408782961056715521
4 10 21.1046337086577935338 17.38138067862304225741
4 2.5 16.22731618736071723674 16.19483734691592857757
4 1 16.0338323403595133243 16.03297008140579293922
4 0.001000000000010000051134 16.00000003333333253863 16.00000003333333253863
4 1.000000000000000081803e-05 16.00000000000333599814 16.00000000000333599814
4 4.999999999999999773741e-08 16 16
4 1.000000000000000062282e-09 16 16
4 -1000.899999999999977263 -1442.779884069085483134 -1565.225351562717378329
4 -100.2000000000000028422 -31.1693555733489837678 -66.83408782961056715521
4 -10 21.1046337086577935338 17.38138067862304225741
4 -2.5 16.22731618736071723674 16.19483734691592857757
4 -1 16.0338323403595133243 16.03297008140579293922
4 0.001000000000010000051134 16.00000003333333253863 16.00000003333333253863
4 -1.000000000000000081803e-05 16.00000000000333599814 16.00000000000333599814
4 -4.999999999999999773741e-08 16 16
4 -1.000000000000000062282e-09 16 16
4 0 16 16
5 1000.899999999999977263 -1321.393161039279220859 -1442.779884069085483134
5 100.2000000000000028422 3.254108801951921758899 -31.16935552174029311345
5 10 27.70376873393927752431 26.76642636048006096416
5 2.5 25.13142358893405869935 25.13012420018553072509
5 1 25.02085434544858344452 25.02084082328976677445
5 0.001000000000010000051134 25.00000002083333328073 25.00000002083333328073
5 1.000000000000000081803e-05 25.00000000000208189022 25.00000000000208189022
5 4.999999999999999773741e-08 25 25
5 1.000000000000000062282e-09 25 25
5 -1000.899999999999977263 -1442.779884069085483134 -1321.393161039279220859
5 -100.2000000000000028422 -31.16935552174029311345 3.254108801951921758899
5 -10 26.76642636048006096416 27.70376873393927752431
5 -2.5 25.13012420018553072509 25.13142358893405869935
5 -1 25.02084082328976677445 25.02085434544858344452
5 0.001000000000010000051134 25.00000002083333328073 25.00000002083333328073
5 -1.000000000000000081803e-05 25.00000000000208189022 25.00000000000208189022
5 -4.999999999999999773741e-08 25 25
5 -1.000000000000000062282e-09 25 25
5 0 25 25
6 1000.899999999999977263 -1201.079840415021863009 -1321.393161039279220859
6 100.2000000000000028422 36.35107307781071739328 3.254110071342680932105
6 10 37.53360633803157497823 37.41985877672419036344
6 2.5 36.0894696558738701242 36.08943687970961633482
6 1 36.01429004604050021499 36.01428991062822149161
6 0.001000000000010000051134 36.00000001428571039241 36.00000001428571039241
6 1.000000000000000081803e-05 36.0000000000014281909 36.0000000000014281909
6 4.999999999999999773741e-08 36 36
6 1.000000000000000062282e-09 36 36
6 -1000.899999999999977263 -1201.079840415021863009 -1321.393161039279220859
6 -100.2000000000000028422 36.35107307781071739328 3.254110071342680932105
6 -10 37.53360633803157497823 37.41985877672419036344
6 -2.5 36.0894696558738701242 36.08943687970961633482
6 -1 36.01429004604050021499 36.01428991062822149161
6 0.001000000000010000051134 36.00000001428571039241 36.00000001428571039241
6 -1.000000000000000081803e-05 36.0000000000014281909 36.0000000000014281909
6 -4.999999999999999773741e-08 36 36
6 -1.000000000000000062282e-09 36 36
6 0 36 36
7 1000.899999999999977263 -1081.855271019110205089 -1201.079840415021863009
7 100.2000000000000028422 68.01383312364728794819 36.35109750391040250861
7 10 50.06267154731234825249 50.05415721355724656405
7 2.5 49.06516646939258663451 49.06516589800713035174
7 1 49.01041825036485022338 49.01041824942387137298
7 0.001000000000010000051134 49.00000001041666308765 49.00000001041666308765
7 1.000000000000000081803e-05 49.00000000000103739239 49.00000000000103739239
7 4.999999999999999773741e-08 49 49
7 1.000000000000000062282e-09 49 49
7 -1000.899999999999977263 -1201.079840415021863009 -1081.855271019110205089
7 -100.2000000000000028422 36.35109750391040250861 68.01383312364728794819
7 -10 50.05415721355724656405 50.06267154731234825249
7 -2.5 49.06516589800713035174 49.06516646939258663451
7 -1 49.01041824942387137298 49.01041825036485022338
7 0.001000000000010000051134 49.00000001041666308765 49.00000001041666308765
7 -1.000000000000000081803e-05 49.00000000000103739239 49.00000000000103739239
7 -4.999999999999999773741e-08 49 49
7 -1.000000000000000062282e-09 49 49
7 0 49 49
8 1000.899999999999977263 -963.7355478781613555839 -1081.855271019110205089
8 100.2000000000000028422 98.0988882321663595576 68.01420804958738131063
8 10 64.80089101050464250875 64.80044029302153774097
8 2.5 64.04962983201822623869 64.04962982471428745157
8 1 64.00793718925467601366 64.00793718924985853391
8 0.001000000000010000051134 64.00000000793650656306 64.00000000793650656306
8 1.000000000000000081803e-05 64.00000000000079580786 64.00000000000079580786
8 4.999999999999999773741e-08 64 64
8 1.000000000000000062282e-09 64 64
8 -1000.899999999999977263 -963.7355478781613555839 -1081.855271019110205089
8 -100.2000000000000028422 98.0988882321663595576 68.01420804958738131063
8 -10 64.80089101050464250875 64.80044029302153774097
8 -2.5 64.04962983201822623869 64.04962982471428745157
8 -1 64.00793718925467601366 64.00793718924985853391
8 0.001000000000010000051134 64.00000000793650656306 64.00000000793650656306
8 -1.000000000000000081803e-05 64.00000000000079580786 64.00000000000079580786
8 -4.999999999999999773741e-08 64 64
8 -1.000000000000000062282e-09 64 64
8 0 64 64
9 1000.899999999999977263 -846.7375738900269652731 -963.7355478781613555839
9 100.2000000000000028422 126.390455358817817455 98.10351818188500772067
9 10 81.62833115873905853732 81.62831318438313132901
9 2.5 81.0390752703925016931 81.0390752703210779373
9 1 81.00625032663259617038 81.00625032663256774867
9 0.001000000000010000051134 81.00000000624999074716 81.00000000624999074716
9 1.000000000000000081803e-05 81.00000000000062527761 81.00000000000062527761
9 4.999999999999999773741e-08 81 81
9 1.000000000000000062282e-09 81 81
9 -1000.899999999999977263 -963.7355478781613555839 -846.7375738900269652731
9 -100.2000000000000028422 98.10351818188500772067 126.390455358817817455
9 -10 81.62831318438313132901 81.62833115873905853732
9 -2.5 81.0390752703210779373 81.0390752703925016931
9 -1 81.00625032663256774867 81.00625032663259617038
9 0.001000000000010000051134 81.00000000624999074716 81.00000000624999074716
9 -1.000000000000000081803e-05 81.00000000000062527761 81.00000000000062527761
9 -4.999999999999999773741e-08 81 81
9 -1.000000000000000062282e-09 81 81
9 0 81 81
10 1000.899999999999977263 -730.8791287964256753185 -846.7375738900269652731
10 100.2000000000000028422 152.4592152295858227262 126.4363415854857350951
10 10 100.506770024681287623 100.5067694628784238375
10 2.5 100.031572305147761881 100.0315723051472076577
10 1 100.0050506751594667776 100.0050506751594667776
10 0.001000000000010000051134 100.0000000050504951332 100.0000000050504951332
10 1.000000000000000081803e-05 100.0000000000004973799 100.0000000000004973799
10 4.999999999999999773741e-08 100 100
10 1.000000000000000062282e-09 100 100
10 -1000.899999999999977263 -730.8791287964256753185 -846.7375738900269652731
10 -100.2000000000000028422 152.4592152295858227262 126.4363415854857350951
10 -10 100.506770024681287623 100.5067694628784238375
10 -2.5 100.031572305147761881 100.0315723051472076577
10 -1 100.0050506751594667776 100.0050506751594667776
10 0.001000000000010000051134 100.0000000050504951332 100.0000000050504951332
10 -1.000000000000000081803e-05 100.0000000000004973799 100.0000000000004973799
10 -4.999999999999999773741e-08 100 100
10 -1.000000000000000062282e-09 100 100
10 0 100 100
25 1000.899999999999977263 854.1924491136089727661 758.5255394366314476429
25 100.2000000000000028422 633.1118990566861839397 633.111899056684592324
25 10 625.0801346934009643519 625.0801346934009643519
25 2.5 625.0050080381596444568 625.0050080381596444568
25 1 625.0008012826999674871 625.0008012826999674871
25 0.001000000000010000051134 625.0000000008012648323 625.0000000008012648323
25 1.000000000000000081803e-05 625.0000000000001136868 625.0000000000001136868
25 4.999999999999999773741e-08 625 625
25 1.000000000000000062282e-09 625 625
25 -1000.899999999999977263 758.5255394366314476429 854.1924491136089727661
25 -100.2000000000000028422 633.111899056684592324 633.1118990566861839397
25 -10 625.0801346934009643519 625.0801346934009643519
25 -2.5 625.0050080381596444568 625.0050080381596444568
25 -1 625.0008012826999674871 625.0008012826999674871
25 0.001000000000010000051134 625.0000000008012648323 625.0000000008012648323
25 -1.000000000000000081803e-05 625.0000000000001136868 625.0000000000001136868
25 -4.999999999999999773741e-08 625 625
25 -1.000000000000000062282e-09 625 625
25 0 625 625
50 1000.899999999999977263 2712.378668546236440307 2712.378666738678930415
50 100.2000000000000028422 2502.009824417427353183 2502.009824417427353183
50 10 2500.020008103539112199 2500.020008103539112199
50 2.5 2500.00125050059205023 2500.00125050059205023
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50 0.001000000000010000051134 2500.000000000200088834 2500.000000000200088834
50 1.000000000000000081803e-05 2500 2500
50 4.999999999999999773741e-08 2500 2500
50 1.000000000000000062282e-09 2500 2500
50 -1000.899999999999977263 2712.378668546236440307 2712.378666738678930415
50 -100.2000000000000028422 2502.009824417427353183 2502.009824417427353183
50 -10 2500.020008103539112199 2500.020008103539112199
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50 -1 2500.000200080042304762 2500.000200080042304762
50 0.001000000000010000051134 2500.000000000200088834 2500.000000000200088834
50 -1.000000000000000081803e-05 2500 2500
50 -4.999999999999999773741e-08 2500 2500
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100 1.000000000000000081803e-05 10000 10000
100 4.999999999999999773741e-08 10000 10000
100 1.000000000000000062282e-09 10000 10000
100 -1000.899999999999977263 10050.25343081352366426 10050.25343081352366426
100 -100.2000000000000028422 10000.50206797026112326 10000.50206797026112326
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100 -1.000000000000000081803e-05 10000 10000
100 -4.999999999999999773741e-08 10000 10000
100 -1.000000000000000062282e-09 10000 10000
100 0 10000 10000
150 1000.899999999999977263 22522.27702631782813114 22522.27702631782813114
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20000 -2.5 400000000 400000000
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20000 -4.999999999999999773741e-08 400000000 400000000
20000 -1.000000000000000062282e-09 400000000 400000000
20000 0 400000000 400000000