{ "Index":171, "Name":"10_87", "RolfsenName":"10_87", "DTname":"10a_39", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-11, 13, -1, 15, 7, -19, 17, 9, 3, -5}", "Acode":"{-6, 7, -1, 8, 4, -10, 9, 5, 2, -3}", "PDcode":[ "{2, 11, 3, 12}", "{4, 14, 5, 13}", "{6, 1, 7, 2}", "{8, 16, 9, 15}", "{10, 8, 11, 7}", "{12, 19, 13, 20}", "{14, 18, 15, 17}", "{16, 10, 17, 9}", "{18, 4, 19, 3}", "{20, 5, 1, 6}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{4, 8, 1}", [], [ "{4, 8, 5, 1}", "{5, 4, 6, 1}", "{8, 5, 9, 1}", "{4, -1, 3, 2}", "{8, 9, 7, 2}", "{3, 7, 2, 2}", "{1, -3, 10, 2}" ], "{1, 6}", "{9}", 9 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a + b - a*b - a*u^2 - 2*b*u^2 + u^4 + a*u^4 + b*u^4 + a*b*u^4 - u^6 - a*b*u^6 - b^2*u^6 + u^8 + a*b*u^8", "b - b^2 + u^2 + b*u^2 + a*b*u^2 - 2*u^4 - a*u^4 - b*u^4 - 2*a*b*u^4 - b^2*u^4 + 3*u^6 + 3*a*b*u^6 + b^2*u^6 - 2*u^8 - 2*a*b*u^8 - b^2*u^8 + u^10 + a*b*u^10", "1 - a*b + b^2 + 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146*u^8 + 321*u^9 + 314*u^10 - 428*u^11 - 368*u^12 + 366*u^13 + 144*u^14 - 106*u^15 + 437*u^16 - 221*u^17 - 1222*u^18 + 456*u^19 + 1925*u^20 - 485*u^21 - 2263*u^22 + 366*u^23 + 2177*u^24 - 164*u^25 - 1746*u^26 + 10*u^27 + 1198*u^28 + 76*u^29 - 696*u^30 - 86*u^31 + 345*u^32 + 65*u^33 - 140*u^34 - 34*u^35 + 47*u^36 + 15*u^37 - 11*u^38 - 4*u^39 + 2*u^40 + u^41", "-2 + 6*u - 13*u^2 + 51*u^3 - 18*u^4 + 15*u^5 + 458*u^6 - 533*u^7 + 1051*u^8 + 244*u^9 - 905*u^10 + 3475*u^11 - 4238*u^12 + 5723*u^13 - 4031*u^14 + 1038*u^15 + 4788*u^16 - 8785*u^17 + 11896*u^18 - 8328*u^19 + 1674*u^20 + 12089*u^21 - 23404*u^22 + 34939*u^23 - 39155*u^24 + 41032*u^25 - 36908*u^26 + 32508*u^27 - 26524*u^28 + 21436*u^29 - 15660*u^30 + 10734*u^31 - 6688*u^32 + 4041*u^33 - 2244*u^34 + 1148*u^35 - 514*u^36 + 217*u^37 - 84*u^38 + 29*u^39 - 7*u^40 + u^41", "1 + 9*u - 30*u^2 + 72*u^3 + 45*u^4 - 171*u^5 + 117*u^6 + 766*u^7 - 624*u^8 - 1669*u^9 + 3148*u^10 - 1468*u^11 - 9864*u^12 + 8496*u^13 + 13688*u^14 - 7984*u^15 - 2313*u^16 - 4489*u^17 - 16818*u^18 + 16260*u^19 + 20421*u^20 - 16619*u^21 - 4503*u^22 + 9302*u^23 - 11227*u^24 - 2536*u^25 + 13084*u^26 - 876*u^27 - 6292*u^28 + 1932*u^29 + 748*u^30 - 1704*u^31 + 825*u^32 + 973*u^33 - 546*u^34 - 372*u^35 + 165*u^36 + 93*u^37 - 27*u^38 - 14*u^39 + 2*u^40 + u^41" ], "uPolys":[ "229 + 687*u - 1746*u^2 - 4972*u^3 + 7685*u^4 + 14901*u^5 - 23499*u^6 - 25008*u^7 + 50782*u^8 + 36079*u^9 - 81694*u^10 - 60500*u^11 + 90756*u^12 + 115444*u^13 - 50728*u^14 - 190144*u^15 - 43715*u^16 + 250999*u^17 + 155848*u^18 - 264500*u^19 - 231349*u^20 + 227955*u^21 + 235329*u^22 - 162912*u^23 - 179939*u^24 + 96926*u^25 + 104874*u^26 - 46824*u^27 - 46198*u^28 + 17362*u^29 + 14728*u^30 - 4230*u^31 - 3157*u^32 + 373*u^33 + 374*u^34 + 166*u^35 - 7*u^36 - 53*u^37 - 3*u^38 + 8*u^39 + u^41", "29 - 97*u + 284*u^2 - 592*u^3 + 1381*u^4 - 1585*u^5 + 3655*u^6 - 2058*u^7 + 4996*u^8 + 2619*u^9 + 1490*u^10 + 23306*u^11 - 8436*u^12 + 70356*u^13 - 21770*u^14 + 140976*u^15 - 28243*u^16 + 216367*u^17 - 16248*u^18 + 268290*u^19 + 10775*u^20 + 274237*u^21 + 36707*u^22 + 234122*u^23 + 47721*u^24 + 167350*u^25 + 41650*u^26 + 99670*u^27 + 27266*u^28 + 49322*u^29 + 13710*u^30 + 19720*u^31 + 5301*u^32 + 6329*u^33 + 1538*u^34 + 1516*u^35 + 315*u^36 + 263*u^37 + 41*u^38 + 26*u^39 + 2*u^40 + u^41", "1 + 9*u - 30*u^2 + 72*u^3 + 45*u^4 - 171*u^5 + 117*u^6 + 766*u^7 - 624*u^8 - 1669*u^9 + 3148*u^10 - 1468*u^11 - 9864*u^12 + 8496*u^13 + 13688*u^14 - 7984*u^15 - 2313*u^16 - 4489*u^17 - 16818*u^18 + 16260*u^19 + 20421*u^20 - 16619*u^21 - 4503*u^22 + 9302*u^23 - 11227*u^24 - 2536*u^25 + 13084*u^26 - 876*u^27 - 6292*u^28 + 1932*u^29 + 748*u^30 - 1704*u^31 + 825*u^32 + 973*u^33 - 546*u^34 - 372*u^35 + 165*u^36 + 93*u^37 - 27*u^38 - 14*u^39 + 2*u^40 + u^41", "1 - u - 2*u^2 + 4*u^3 - u^4 + 27*u^5 + 39*u^6 - 140*u^7 - 146*u^8 + 321*u^9 + 314*u^10 - 428*u^11 - 368*u^12 + 366*u^13 + 144*u^14 - 106*u^15 + 437*u^16 - 221*u^17 - 1222*u^18 + 456*u^19 + 1925*u^20 - 485*u^21 - 2263*u^22 + 366*u^23 + 2177*u^24 - 164*u^25 - 1746*u^26 + 10*u^27 + 1198*u^28 + 76*u^29 - 696*u^30 - 86*u^31 + 345*u^32 + 65*u^33 - 140*u^34 - 34*u^35 + 47*u^36 + 15*u^37 - 11*u^38 - 4*u^39 + 2*u^40 + u^41", "1 + 5*u + 10*u^2 - 120*u^3 - 943*u^4 - 2167*u^5 + 3957*u^6 + 43034*u^7 + 156694*u^8 + 367111*u^9 + 610808*u^10 + 689368*u^11 + 311948*u^12 - 735556*u^13 - 2360468*u^14 - 4025708*u^15 - 4847741*u^16 - 3943053*u^17 - 869558*u^18 + 4080160*u^19 + 9907905*u^20 + 15261301*u^21 + 18929969*u^22 + 20250418*u^23 + 19250955*u^24 + 16522072*u^25 + 12918436*u^26 + 9251288*u^27 + 6085464*u^28 + 3681084*u^29 + 2046888*u^30 + 1044528*u^31 + 487641*u^32 + 207309*u^33 + 79722*u^34 + 27480*u^35 + 8381*u^36 + 2221*u^37 + 497*u^38 + 90*u^39 + 12*u^40 + u^41", "1 + u - 2*u^2 + 10*u^3 + 19*u^4 - 11*u^5 + 15*u^6 + 38*u^7 - 118*u^8 + 73*u^9 + 658*u^10 - 198*u^11 - 1690*u^12 + 602*u^13 + 3836*u^14 - 172*u^15 - 6061*u^16 - 665*u^17 + 8604*u^18 + 3198*u^19 - 9199*u^20 - 5837*u^21 + 8093*u^22 + 8318*u^23 - 4113*u^24 - 7010*u^25 + 1890*u^26 + 6040*u^27 + 1132*u^28 - 2150*u^29 - 322*u^30 + 1412*u^31 + 687*u^32 - 175*u^33 - 112*u^34 + 128*u^35 + 93*u^36 + 7*u^37 - 7*u^38 + 4*u^39 + 4*u^40 + u^41", "1 + 5*u + 10*u^2 - 120*u^3 - 943*u^4 - 2167*u^5 + 3957*u^6 + 43034*u^7 + 156694*u^8 + 367111*u^9 + 610808*u^10 + 689368*u^11 + 311948*u^12 - 735556*u^13 - 2360468*u^14 - 4025708*u^15 - 4847741*u^16 - 3943053*u^17 - 869558*u^18 + 4080160*u^19 + 9907905*u^20 + 15261301*u^21 + 18929969*u^22 + 20250418*u^23 + 19250955*u^24 + 16522072*u^25 + 12918436*u^26 + 9251288*u^27 + 6085464*u^28 + 3681084*u^29 + 2046888*u^30 + 1044528*u^31 + 487641*u^32 + 207309*u^33 + 79722*u^34 + 27480*u^35 + 8381*u^36 + 2221*u^37 + 497*u^38 + 90*u^39 + 12*u^40 + u^41", "1 - u - 2*u^2 + 4*u^3 - u^4 + 27*u^5 + 39*u^6 - 140*u^7 - 146*u^8 + 321*u^9 + 314*u^10 - 428*u^11 - 368*u^12 + 366*u^13 + 144*u^14 - 106*u^15 + 437*u^16 - 221*u^17 - 1222*u^18 + 456*u^19 + 1925*u^20 - 485*u^21 - 2263*u^22 + 366*u^23 + 2177*u^24 - 164*u^25 - 1746*u^26 + 10*u^27 + 1198*u^28 + 76*u^29 - 696*u^30 - 86*u^31 + 345*u^32 + 65*u^33 - 140*u^34 - 34*u^35 + 47*u^36 + 15*u^37 - 11*u^38 - 4*u^39 + 2*u^40 + u^41", "-2 + 6*u - 13*u^2 + 51*u^3 - 18*u^4 + 15*u^5 + 458*u^6 - 533*u^7 + 1051*u^8 + 244*u^9 - 905*u^10 + 3475*u^11 - 4238*u^12 + 5723*u^13 - 4031*u^14 + 1038*u^15 + 4788*u^16 - 8785*u^17 + 11896*u^18 - 8328*u^19 + 1674*u^20 + 12089*u^21 - 23404*u^22 + 34939*u^23 - 39155*u^24 + 41032*u^25 - 36908*u^26 + 32508*u^27 - 26524*u^28 + 21436*u^29 - 15660*u^30 + 10734*u^31 - 6688*u^32 + 4041*u^33 - 2244*u^34 + 1148*u^35 - 514*u^36 + 217*u^37 - 84*u^38 + 29*u^39 - 7*u^40 + u^41", "1 + 9*u - 30*u^2 + 72*u^3 + 45*u^4 - 171*u^5 + 117*u^6 + 766*u^7 - 624*u^8 - 1669*u^9 + 3148*u^10 - 1468*u^11 - 9864*u^12 + 8496*u^13 + 13688*u^14 - 7984*u^15 - 2313*u^16 - 4489*u^17 - 16818*u^18 + 16260*u^19 + 20421*u^20 - 16619*u^21 - 4503*u^22 + 9302*u^23 - 11227*u^24 - 2536*u^25 + 13084*u^26 - 876*u^27 - 6292*u^28 + 1932*u^29 + 748*u^30 - 1704*u^31 + 825*u^32 + 973*u^33 - 546*u^34 - 372*u^35 + 165*u^36 + 93*u^37 - 27*u^38 - 14*u^39 + 2*u^40 + u^41" ], "aCuspShape":"-2 + (2*(21367639882699 + 43038759839397*u + 39472341404665*u^2 - 42408226685213*u^3 - 93487927230326*u^4 - 530251574187052*u^5 - 150751297115441*u^6 + 2010140213716990*u^7 + 798270207717675*u^8 - 4182443736131895*u^9 - 1443051205185781*u^10 + 5171856468349953*u^11 + 2074759007008063*u^12 - 3321738529306147*u^13 - 2699731865942381*u^14 - 2109603243052599*u^15 + 3726959075879750*u^16 + 9523739787695778*u^17 - 5133993154482316*u^18 - 16142007402920018*u^19 + 6735931366190293*u^20 + 19420272777140719*u^21 - 7529720028519782*u^22 - 18770947981398799*u^23 + 7429717002590151*u^24 + 15045143675655029*u^25 - 6177698318435921*u^26 - 10273030483603127*u^27 + 4476285594036987*u^28 + 5926570321859825*u^29 - 2742399014029253*u^30 - 2912015204629781*u^31 + 1448653383992066*u^32 + 1169717008955456*u^33 - 620953550321464*u^34 - 386919378409768*u^35 + 226156619323323*u^36 + 89540641133985*u^37 - 55350837239582*u^38 - 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8.3523298504514506152`5.149271854074397*I", "0``4.2274642169073235 - 8.3523298504514506152`5.149271854074397*I", "13.1815203814757886192`4.966880341182076 - 15.1990154732439842526`5.028730292818516*I", "13.1815203814757886192`4.966880341182076 + 15.1990154732439842526`5.028730292818516*I", "0``4.203323456359614 + 8.331396847313327363`5.124041277961158*I", "0``4.203323456359614 - 8.331396847313327363`5.124041277961158*I", "0``4.252961314906603 - 5.6522458200133929525`5.00518235625613*I", "0``4.252961314906603 + 5.6522458200133929525`5.00518235625613*I", "0.1872272969897696819`3.7945513407020717 + 4.2453244441784495219`5.150093059607269*I", "0.1872272969897696819`3.7945513407020717 - 4.2453244441784495219`5.150093059607269*I", "4.3833744037721670037`5.100547019956843 - 2.2296678178143557513`4.806978618122126*I", "4.3833744037721670037`5.100547019956843 + 2.2296678178143557513`4.806978618122126*I" ], "Abelian":false }, { "IdealName":"J10_87_1", "Generators":[ "-1 + b", "-1 + a", "-1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.332700000000001e-2, "TimingZeroDimVars":7.1422e-2, "TimingmagmaVCompNormalize":7.2851e-2, "TimingNumberOfSols":2.6167e-2, "TimingIsRadical":1.8700000000000001e-3, "TimingArcColoring":6.6293e-2, "TimingObstruction":3.82e-4, "TimingComplexVolumeN":0.607857, "TimingaCuspShapeN":4.657000000000001e-3, "TiminguValues":0.621326, "TiminguPolysN":8.6e-5, "TiminguPolys":0.810125, "TimingaCuspShape":8.9933e-2, "TimingRepresentationsN":2.3618e-2, "TiminguValues_ij":0.155153, "TiminguPoly_ij":0.352398, "TiminguPolys_ij_N":7.500000000000002e-5 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 1}", "{1, 0}", "{2, 1}", "{1, 0}", "{1, 1}", "{0, 1}", "{1, 1}", "{0, 1}", "{-1, 0}", "{-1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "-1 + u", "-1 + u", "-1 + u", "-1 + u", "1 + u", "-1 + u", "-1 + u", "1 + u", "u", "1 + u" ], "uPolys":[ "-1 + u", "-1 + u", "-1 + u", "-1 + u", "1 + u", "-1 + u", "-1 + u", "1 + u", "u", "1 + u" ], "aCuspShape":0, "RepresentationsN":[ [ "u->1.", "a->1.", "b->1." ] ], "Epsilon":"Infinity", "uPolys_ij":[ "1 + u", "u", "-1 + u", "-2 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + u", "u", "-1 + u", "-2 + u" ], "Multiplicity":1, "ij_list":[ [ "{1, 2}", "{1, 3}", "{1, 4}", "{3, 4}", "{6, 7}" ], [ "{1, 5}", "{1, 7}", "{2, 4}", "{2, 9}", "{2, 10}", "{4, 9}", "{4, 10}", "{5, 7}", "{6, 8}", "{9, 10}" ], [ "{1, 6}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 3}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{3, 5}", "{3, 7}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{5, 6}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{3, 6}", "{3, 8}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":false }, { "IdealName":"abJ10_87_2", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.8152e-2, "TimingZeroDimVars":6.7404e-2, "TimingmagmaVCompNormalize":6.8644e-2, "TimingNumberOfSols":2.7339000000000002e-2, "TimingIsRadical":1.778e-3, "TimingArcColoring":6.1199e-2, "TimingObstruction":4.07e-4, "TimingComplexVolumeN":0.296958, "TimingaCuspShapeN":4.4930000000000005e-3, "TiminguValues":0.632141, "TiminguPolysN":7.8e-5, "TiminguPolys":0.807844, "TimingaCuspShape":0.124333, "TimingRepresentationsN":2.343e-2, "TiminguValues_ij":0.15001, "TiminguPoly_ij":0.156378, "TiminguPolys_ij_N":3.000000000000001e-5 }, "ZeroDimensionalVars":[ "b", "a", "v" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "aCuspShape":0, "RepresentationsN":[ [ "v->1.", "a->1.", "b->0" ] ], "Epsilon":"Infinity", "uPolys_ij":[ "u" ], "GeometricComponent":0, "uPolys_ij_N":[ "u" ], "Multiplicity":1, "ij_list":[ [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{1, 6}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(-1 + u)*(229 + 687*u - 1746*u^2 - 4972*u^3 + 7685*u^4 + 14901*u^5 - 23499*u^6 - 25008*u^7 + 50782*u^8 + 36079*u^9 - 81694*u^10 - 60500*u^11 + 90756*u^12 + 115444*u^13 - 50728*u^14 - 190144*u^15 - 43715*u^16 + 250999*u^17 + 155848*u^18 - 264500*u^19 - 231349*u^20 + 227955*u^21 + 235329*u^22 - 162912*u^23 - 179939*u^24 + 96926*u^25 + 104874*u^26 - 46824*u^27 - 46198*u^28 + 17362*u^29 + 14728*u^30 - 4230*u^31 - 3157*u^32 + 373*u^33 + 374*u^34 + 166*u^35 - 7*u^36 - 53*u^37 - 3*u^38 + 8*u^39 + u^41)", "(-1 + u)*(29 - 97*u + 284*u^2 - 592*u^3 + 1381*u^4 - 1585*u^5 + 3655*u^6 - 2058*u^7 + 4996*u^8 + 2619*u^9 + 1490*u^10 + 23306*u^11 - 8436*u^12 + 70356*u^13 - 21770*u^14 + 140976*u^15 - 28243*u^16 + 216367*u^17 - 16248*u^18 + 268290*u^19 + 10775*u^20 + 274237*u^21 + 36707*u^22 + 234122*u^23 + 47721*u^24 + 167350*u^25 + 41650*u^26 + 99670*u^27 + 27266*u^28 + 49322*u^29 + 13710*u^30 + 19720*u^31 + 5301*u^32 + 6329*u^33 + 1538*u^34 + 1516*u^35 + 315*u^36 + 263*u^37 + 41*u^38 + 26*u^39 + 2*u^40 + u^41)", "(-1 + u)*(1 + 9*u - 30*u^2 + 72*u^3 + 45*u^4 - 171*u^5 + 117*u^6 + 766*u^7 - 624*u^8 - 1669*u^9 + 3148*u^10 - 1468*u^11 - 9864*u^12 + 8496*u^13 + 13688*u^14 - 7984*u^15 - 2313*u^16 - 4489*u^17 - 16818*u^18 + 16260*u^19 + 20421*u^20 - 16619*u^21 - 4503*u^22 + 9302*u^23 - 11227*u^24 - 2536*u^25 + 13084*u^26 - 876*u^27 - 6292*u^28 + 1932*u^29 + 748*u^30 - 1704*u^31 + 825*u^32 + 973*u^33 - 546*u^34 - 372*u^35 + 165*u^36 + 93*u^37 - 27*u^38 - 14*u^39 + 2*u^40 + u^41)", "(-1 + u)*(1 - u - 2*u^2 + 4*u^3 - u^4 + 27*u^5 + 39*u^6 - 140*u^7 - 146*u^8 + 321*u^9 + 314*u^10 - 428*u^11 - 368*u^12 + 366*u^13 + 144*u^14 - 106*u^15 + 437*u^16 - 221*u^17 - 1222*u^18 + 456*u^19 + 1925*u^20 - 485*u^21 - 2263*u^22 + 366*u^23 + 2177*u^24 - 164*u^25 - 1746*u^26 + 10*u^27 + 1198*u^28 + 76*u^29 - 696*u^30 - 86*u^31 + 345*u^32 + 65*u^33 - 140*u^34 - 34*u^35 + 47*u^36 + 15*u^37 - 11*u^38 - 4*u^39 + 2*u^40 + u^41)", "(1 + u)*(1 + 5*u + 10*u^2 - 120*u^3 - 943*u^4 - 2167*u^5 + 3957*u^6 + 43034*u^7 + 156694*u^8 + 367111*u^9 + 610808*u^10 + 689368*u^11 + 311948*u^12 - 735556*u^13 - 2360468*u^14 - 4025708*u^15 - 4847741*u^16 - 3943053*u^17 - 869558*u^18 + 4080160*u^19 + 9907905*u^20 + 15261301*u^21 + 18929969*u^22 + 20250418*u^23 + 19250955*u^24 + 16522072*u^25 + 12918436*u^26 + 9251288*u^27 + 6085464*u^28 + 3681084*u^29 + 2046888*u^30 + 1044528*u^31 + 487641*u^32 + 207309*u^33 + 79722*u^34 + 27480*u^35 + 8381*u^36 + 2221*u^37 + 497*u^38 + 90*u^39 + 12*u^40 + u^41)", "(-1 + u)*(1 + u - 2*u^2 + 10*u^3 + 19*u^4 - 11*u^5 + 15*u^6 + 38*u^7 - 118*u^8 + 73*u^9 + 658*u^10 - 198*u^11 - 1690*u^12 + 602*u^13 + 3836*u^14 - 172*u^15 - 6061*u^16 - 665*u^17 + 8604*u^18 + 3198*u^19 - 9199*u^20 - 5837*u^21 + 8093*u^22 + 8318*u^23 - 4113*u^24 - 7010*u^25 + 1890*u^26 + 6040*u^27 + 1132*u^28 - 2150*u^29 - 322*u^30 + 1412*u^31 + 687*u^32 - 175*u^33 - 112*u^34 + 128*u^35 + 93*u^36 + 7*u^37 - 7*u^38 + 4*u^39 + 4*u^40 + u^41)", "(-1 + u)*(1 + 5*u + 10*u^2 - 120*u^3 - 943*u^4 - 2167*u^5 + 3957*u^6 + 43034*u^7 + 156694*u^8 + 367111*u^9 + 610808*u^10 + 689368*u^11 + 311948*u^12 - 735556*u^13 - 2360468*u^14 - 4025708*u^15 - 4847741*u^16 - 3943053*u^17 - 869558*u^18 + 4080160*u^19 + 9907905*u^20 + 15261301*u^21 + 18929969*u^22 + 20250418*u^23 + 19250955*u^24 + 16522072*u^25 + 12918436*u^26 + 9251288*u^27 + 6085464*u^28 + 3681084*u^29 + 2046888*u^30 + 1044528*u^31 + 487641*u^32 + 207309*u^33 + 79722*u^34 + 27480*u^35 + 8381*u^36 + 2221*u^37 + 497*u^38 + 90*u^39 + 12*u^40 + u^41)", "(1 + u)*(1 - u - 2*u^2 + 4*u^3 - u^4 + 27*u^5 + 39*u^6 - 140*u^7 - 146*u^8 + 321*u^9 + 314*u^10 - 428*u^11 - 368*u^12 + 366*u^13 + 144*u^14 - 106*u^15 + 437*u^16 - 221*u^17 - 1222*u^18 + 456*u^19 + 1925*u^20 - 485*u^21 - 2263*u^22 + 366*u^23 + 2177*u^24 - 164*u^25 - 1746*u^26 + 10*u^27 + 1198*u^28 + 76*u^29 - 696*u^30 - 86*u^31 + 345*u^32 + 65*u^33 - 140*u^34 - 34*u^35 + 47*u^36 + 15*u^37 - 11*u^38 - 4*u^39 + 2*u^40 + u^41)", "u*(-2 + 6*u - 13*u^2 + 51*u^3 - 18*u^4 + 15*u^5 + 458*u^6 - 533*u^7 + 1051*u^8 + 244*u^9 - 905*u^10 + 3475*u^11 - 4238*u^12 + 5723*u^13 - 4031*u^14 + 1038*u^15 + 4788*u^16 - 8785*u^17 + 11896*u^18 - 8328*u^19 + 1674*u^20 + 12089*u^21 - 23404*u^22 + 34939*u^23 - 39155*u^24 + 41032*u^25 - 36908*u^26 + 32508*u^27 - 26524*u^28 + 21436*u^29 - 15660*u^30 + 10734*u^31 - 6688*u^32 + 4041*u^33 - 2244*u^34 + 1148*u^35 - 514*u^36 + 217*u^37 - 84*u^38 + 29*u^39 - 7*u^40 + u^41)", "(1 + u)*(1 + 9*u - 30*u^2 + 72*u^3 + 45*u^4 - 171*u^5 + 117*u^6 + 766*u^7 - 624*u^8 - 1669*u^9 + 3148*u^10 - 1468*u^11 - 9864*u^12 + 8496*u^13 + 13688*u^14 - 7984*u^15 - 2313*u^16 - 4489*u^17 - 16818*u^18 + 16260*u^19 + 20421*u^20 - 16619*u^21 - 4503*u^22 + 9302*u^23 - 11227*u^24 - 2536*u^25 + 13084*u^26 - 876*u^27 - 6292*u^28 + 1932*u^29 + 748*u^30 - 1704*u^31 + 825*u^32 + 973*u^33 - 546*u^34 - 372*u^35 + 165*u^36 + 93*u^37 - 27*u^38 - 14*u^39 + 2*u^40 + u^41)" ], "RileyPolyC":[ "(-1 + y)*(-52441 + 1271637*y - 13399774*y^2 + 82793320*y^3 - 346912425*y^4 + 1096218125*y^5 - 2846749029*y^6 + 6443301070*y^7 - 12987087818*y^8 + 23121966991*y^9 - 35619122604*y^10 + 46539398024*y^11 - 50916923720*y^12 + 47292608872*y^13 - 42108383476*y^14 + 49426151700*y^15 - 83971102227*y^16 + 150805967759*y^17 - 238595731118*y^18 + 322060618680*y^19 - 373295044985*y^20 + 375371856789*y^21 - 329898206909*y^22 + 254398996102*y^23 - 172274379423*y^24 + 102231673648*y^25 - 52888764612*y^26 + 23640261268*y^27 - 8997977616*y^28 + 2847380472*y^29 - 717407920*y^30 + 130811844*y^31 - 12203781*y^32 - 1370495*y^33 + 660654*y^34 - 58644*y^35 - 17893*y^36 + 6169*y^37 - 525*y^38 - 42*y^39 + 16*y^40 + y^41)", "(-1 + y)*(-841 - 7063*y - 45906*y^2 - 338444*y^3 - 1997077*y^4 - 8578447*y^5 - 28613409*y^6 - 79892066*y^7 - 193858902*y^8 - 397095409*y^9 - 594806984*y^10 - 239554360*y^11 + 2248011508*y^12 + 10040730620*y^13 + 27804146168*y^14 + 60257046968*y^15 + 109401418325*y^16 + 171618345155*y^17 + 236648629066*y^18 + 289954252240*y^19 + 317983001151*y^20 + 313733981053*y^21 + 279516300031*y^22 + 225461964306*y^23 + 164930455089*y^24 + 109514753064*y^25 + 66011889172*y^26 + 36092541824*y^27 + 17870118444*y^28 + 7990510380*y^29 + 3213961880*y^30 + 1156621548*y^31 + 369700603*y^32 + 103962605*y^33 + 25387974*y^34 + 5292932*y^35 + 919419*y^36 + 128677*y^37 + 13767*y^38 + 1038*y^39 + 48*y^40 + y^41)", "(-1 + y)*(-1 + 141*y + 306*y^2 + 4572*y^3 - 4593*y^4 + 55237*y^5 - 277653*y^6 + 342570*y^7 - 387482*y^8 + 1300271*y^9 - 5972072*y^10 + 47616920*y^11 - 197472404*y^12 + 401032796*y^13 - 304541764*y^14 - 391355996*y^15 + 1232188089*y^16 - 1180165673*y^17 - 85606070*y^18 + 1487030028*y^19 - 1703007709*y^20 + 697329689*y^21 + 403632787*y^22 - 708605834*y^23 + 334099145*y^24 + 96061004*y^25 - 225973664*y^26 + 130779248*y^27 - 14335368*y^28 - 30472760*y^29 + 23315944*y^30 - 6461388*y^31 - 1862721*y^32 + 2855269*y^33 - 1601510*y^34 + 592676*y^35 - 159853*y^36 + 32105*y^37 - 4737*y^38 + 490*y^39 - 32*y^40 + y^41)", "(-1 + y)*(-1 + 5*y - 10*y^2 - 120*y^3 + 943*y^4 - 2167*y^5 - 3957*y^6 + 43034*y^7 - 156694*y^8 + 367111*y^9 - 610808*y^10 + 689368*y^11 - 311948*y^12 - 735556*y^13 + 2360468*y^14 - 4025708*y^15 + 4847741*y^16 - 3943053*y^17 + 869558*y^18 + 4080160*y^19 - 9907905*y^20 + 15261301*y^21 - 18929969*y^22 + 20250418*y^23 - 19250955*y^24 + 16522072*y^25 - 12918436*y^26 + 9251288*y^27 - 6085464*y^28 + 3681084*y^29 - 2046888*y^30 + 1044528*y^31 - 487641*y^32 + 207309*y^33 - 79722*y^34 + 27480*y^35 - 8381*y^36 + 2221*y^37 - 497*y^38 + 90*y^39 - 12*y^40 + y^41)", "(-1 + y)*(-1 + 5*y + 586*y^2 + 3676*y^3 - 331357*y^4 + 1146245*y^5 - 695337*y^6 - 1548250*y^7 + 3359618*y^8 - 24152249*y^9 - 35822432*y^10 + 95467624*y^11 + 233444148*y^12 + 65137708*y^13 - 397519420*y^14 - 788612812*y^15 - 746521851*y^16 - 192884073*y^17 + 632762570*y^18 + 1578849164*y^19 + 2866745415*y^20 + 4547746529*y^21 + 5983373119*y^22 + 6377882650*y^23 + 5606181625*y^24 + 4204916756*y^25 + 2781394616*y^26 + 1656029304*y^27 + 894461112*y^28 + 441214104*y^29 + 201991472*y^30 + 87521652*y^31 + 35931011*y^32 + 13569533*y^33 + 4500178*y^34 + 1253556*y^35 + 282623*y^36 + 49817*y^37 + 6587*y^38 + 614*y^39 + 36*y^40 + y^41)", "(-1 + y)*(-1 + 5*y - 22*y^2 + 124*y^3 - 209*y^4 - 1331*y^5 + 10499*y^6 - 38814*y^7 + 79622*y^8 - 8965*y^9 - 650028*y^10 + 3112172*y^11 - 9687136*y^12 + 23777932*y^13 - 49007672*y^14 + 87667288*y^15 - 138662447*y^16 + 196597959*y^17 - 252538146*y^18 + 296858180*y^19 - 321503185*y^20 + 323230393*y^21 - 302452189*y^22 + 263958506*y^23 - 214175703*y^24 + 161325952*y^25 - 111506500*y^26 + 71142812*y^27 - 40854916*y^28 + 21712824*y^29 - 10187788*y^30 + 4471344*y^31 - 1694769*y^32 + 610805*y^33 - 184042*y^34 + 53956*y^35 - 12497*y^36 + 2921*y^37 - 481*y^38 + 86*y^39 - 8*y^40 + y^41)", "(-1 + y)*(-1 + 5*y + 586*y^2 + 3676*y^3 - 331357*y^4 + 1146245*y^5 - 695337*y^6 - 1548250*y^7 + 3359618*y^8 - 24152249*y^9 - 35822432*y^10 + 95467624*y^11 + 233444148*y^12 + 65137708*y^13 - 397519420*y^14 - 788612812*y^15 - 746521851*y^16 - 192884073*y^17 + 632762570*y^18 + 1578849164*y^19 + 2866745415*y^20 + 4547746529*y^21 + 5983373119*y^22 + 6377882650*y^23 + 5606181625*y^24 + 4204916756*y^25 + 2781394616*y^26 + 1656029304*y^27 + 894461112*y^28 + 441214104*y^29 + 201991472*y^30 + 87521652*y^31 + 35931011*y^32 + 13569533*y^33 + 4500178*y^34 + 1253556*y^35 + 282623*y^36 + 49817*y^37 + 6587*y^38 + 614*y^39 + 36*y^40 + y^41)", "(-1 + y)*(-1 + 5*y - 10*y^2 - 120*y^3 + 943*y^4 - 2167*y^5 - 3957*y^6 + 43034*y^7 - 156694*y^8 + 367111*y^9 - 610808*y^10 + 689368*y^11 - 311948*y^12 - 735556*y^13 + 2360468*y^14 - 4025708*y^15 + 4847741*y^16 - 3943053*y^17 + 869558*y^18 + 4080160*y^19 - 9907905*y^20 + 15261301*y^21 - 18929969*y^22 + 20250418*y^23 - 19250955*y^24 + 16522072*y^25 - 12918436*y^26 + 9251288*y^27 - 6085464*y^28 + 3681084*y^29 - 2046888*y^30 + 1044528*y^31 - 487641*y^32 + 207309*y^33 - 79722*y^34 + 27480*y^35 - 8381*y^36 + 2221*y^37 - 497*y^38 + 90*y^39 - 12*y^40 + y^41)", "y*(-4 - 16*y + 371*y^2 + 4145*y^3 + 10922*y^4 - 11019*y^5 - 161812*y^6 - 407073*y^7 - 73495*y^8 + 2338606*y^9 + 6900223*y^10 + 9588741*y^11 + 4125984*y^12 - 5071229*y^13 + 807709*y^14 + 41544728*y^15 + 106590196*y^16 + 159707383*y^17 + 175152516*y^18 + 171057026*y^19 + 186356610*y^20 + 241341719*y^21 + 315547670*y^22 + 369446083*y^23 + 372769037*y^24 + 325151576*y^25 + 246138104*y^26 + 164013452*y^27 + 96100352*y^28 + 50218176*y^29 + 23151704*y^30 + 9606412*y^31 + 3500640*y^32 + 1158729*y^33 + 331980*y^34 + 87486*y^35 + 19258*y^36 + 3987*y^37 + 630*y^38 + 99*y^39 + 9*y^40 + y^41)", "(-1 + y)*(-1 + 141*y + 306*y^2 + 4572*y^3 - 4593*y^4 + 55237*y^5 - 277653*y^6 + 342570*y^7 - 387482*y^8 + 1300271*y^9 - 5972072*y^10 + 47616920*y^11 - 197472404*y^12 + 401032796*y^13 - 304541764*y^14 - 391355996*y^15 + 1232188089*y^16 - 1180165673*y^17 - 85606070*y^18 + 1487030028*y^19 - 1703007709*y^20 + 697329689*y^21 + 403632787*y^22 - 708605834*y^23 + 334099145*y^24 + 96061004*y^25 - 225973664*y^26 + 130779248*y^27 - 14335368*y^28 - 30472760*y^29 + 23315944*y^30 - 6461388*y^31 - 1862721*y^32 + 2855269*y^33 - 1601510*y^34 + 592676*y^35 - 159853*y^36 + 32105*y^37 - 4737*y^38 + 490*y^39 - 32*y^40 + y^41)" ] }, "GeometricRepresentation":[ 1.42736e1, [ "J10_87_0", 1, "{34, 35}" ] ] } }