{ "Index":157, "Name":"10_73", "RolfsenName":"10_73", "DTname":"10a_3", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-15, -7, -13, 11, -17, -5, 19, -1, -9, 3}", "Acode":"{-8, -4, -7, 6, -9, -3, 10, -1, -5, 2}", "PDcode":[ "{2, 15, 3, 16}", "{4, 7, 5, 8}", "{6, 13, 7, 14}", "{8, 12, 9, 11}", "{10, 17, 11, 18}", "{12, 5, 13, 6}", "{14, 20, 15, 19}", "{16, 1, 17, 2}", "{18, 9, 19, 10}", "{20, 4, 1, 3}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{6, 3, 10}", [], [ "{6, -3, 7, 1}", "{3, -7, 4, 1}", "{4, 6, 5, 1}", "{7, 10, 8, 1}", "{3, -4, 2, 2}", "{2, -8, 1, 2}", "{10, -5, 9, 2}" ], "{5, 10}", "{8}", 8 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + a^2*u + u^3 - a^2*u^3 - a*b*u^3 + a^2*u^5 - 2*a^2*u^7 - 2*a*b*u^7 + a^2*u^9 + 2*a*b*u^9 + b^2*u^9", "u + a*b*u - u^3 + a^2*u^3 - a*b*u^3 - b^2*u^3 - 3*a^2*u^5 - 2*a*b*u^5 + 3*a^2*u^7 + 4*a*b*u^7 + b^2*u^7 - a^2*u^9 - 2*a*b*u^9 - b^2*u^9", "a + u + 2*a*b*u + a^2*b^2*u + 2*a^2*u^3 - 2*a*b*u^3 + 2*a^3*b*u^3 + b^2*u^3 - a^2*b^2*u^3 + a*b^3*u^3 - a*u^4 - 2*a^2*u^5 + a^4*u^5 + 2*a*b*u^5 - 2*a^3*b*u^5 + 3*a^2*b^2*u^5 + a*u^6 - b*u^6 + a^2*u^7 - a^4*u^7 + 3*a^3*b*u^7 - a*u^8 + a^4*u^9", "b - u + b^2*u + a*b^3*u + a*u^2 - b^2*u^3 + 2*a^2*b^2*u^3 - a*b^3*u^3 + b^4*u^3 - 2*a*u^4 + b*u^4 - a^2*u^5 + a^3*b*u^5 - b^2*u^5 - 2*a^2*b^2*u^5 + 3*a*b^3*u^5 + 3*a*u^6 - b*u^6 + a^2*u^7 - 2*a*b*u^7 - a^3*b*u^7 + 3*a^2*b^2*u^7 - 2*a*u^8 + b*u^8 - a^2*u^9 + a^3*b*u^9 + a*u^10" ], "TimingForPrimaryIdeals":0.129576 }, "v":{ "CheckEq":[ "-(b^2*v)", "b - b^4*v", "a - v - b^2*v - a*b^3*v - b*v^2", "-1 + v - a*b*v + b^2*v^3" ], "TimingForPrimaryIdeals":7.5464e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_73_0", "Generators":[ "b + u^2 + u^3 - 2*u^4 - 4*u^5 - 5*u^6 - u^7 - 2*u^8 + 11*u^9 + 41*u^10 + 34*u^11 - 104*u^12 - 224*u^13 + 4*u^14 + 548*u^15 + 570*u^16 - 510*u^17 - 1537*u^18 - 543*u^19 + 1892*u^20 + 2330*u^21 - 671*u^22 - 3335*u^23 - 1576*u^24 + 2479*u^25 + 3080*u^26 - 477*u^27 - 2860*u^28 - 1044*u^29 + 1580*u^30 + 1340*u^31 - 444*u^32 - 872*u^33 - 47*u^34 + 361*u^35 + 102*u^36 - 96*u^37 - 45*u^38 + 15*u^39 + 10*u^40 - u^41 - u^42", "15 + 2*a + 26*u + 11*u^2 - 28*u^3 - 127*u^4 - 152*u^5 + 50*u^6 + 431*u^7 + 617*u^8 + 146*u^9 - 1237*u^10 - 2668*u^11 - 1868*u^12 + 3344*u^13 + 9796*u^14 + 6868*u^15 - 10743*u^16 - 25726*u^17 - 10647*u^18 + 29384*u^19 + 44325*u^20 + 708*u^21 - 55114*u^22 - 44977*u^23 + 25864*u^24 + 63720*u^25 + 18088*u^26 - 44706*u^27 - 40700*u^28 + 12204*u^29 + 34404*u^30 + 7392*u^31 - 17005*u^32 - 9922*u^33 + 4719*u^34 + 5404*u^35 - 303*u^36 - 1720*u^37 - 270*u^38 + 315*u^39 + 95*u^40 - 26*u^41 - 11*u^42", "-1 - 3*u - 3*u^2 + u^3 + 11*u^4 + 21*u^5 + 10*u^6 - 31*u^7 - 76*u^8 - 65*u^9 + 61*u^10 + 279*u^11 + 364*u^12 - 44*u^13 - 940*u^14 - 1324*u^15 + 105*u^16 + 2651*u^17 + 2955*u^18 - 1025*u^19 - 5497*u^20 - 3899*u^21 + 3578*u^22 + 7753*u^23 + 2215*u^24 - 6420*u^25 - 6732*u^26 + 1324*u^27 + 6536*u^28 + 2776*u^29 - 3272*u^30 - 3492*u^31 + 427*u^32 + 2125*u^33 + 581*u^34 - 755*u^35 - 461*u^36 + 133*u^37 + 170*u^38 + 5*u^39 - 34*u^40 - 7*u^41 + 3*u^42 + u^43" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.975899999999999e-2, "TimingZeroDimVars":0.137871, "TimingmagmaVCompNormalize":0.139247, "TimingNumberOfSols":0.479109, "TimingIsRadical":7.7164e-2, "TimingArcColoring":7.6875e-2, "TimingObstruction":0.201811, "TimingComplexVolumeN":3.7602416e1, "TimingaCuspShapeN":0.380301, "TiminguValues":0.691686, "TiminguPolysN":0.261626, "TiminguPolys":1.088434, "TimingaCuspShape":0.182242, "TimingRepresentationsN":0.492215, "TiminguValues_ij":0.233974, "TiminguPoly_ij":3.525065, "TiminguPolys_ij_N":0.535683 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":43, "IsRadical":true, "ArcColoring":[ [ "-6 - 11*u - 5*u^2 + 11*u^3 + 52*u^4 + 65*u^5 - 17*u^6 - 179*u^7 - 260*u^8 - 71*u^9 + 507*u^10 + 1122*u^11 + 816*u^12 - 1356*u^13 - 4108*u^14 - 3002*u^15 + 4350*u^16 + 10845*u^17 + 4815*u^18 - 12041*u^19 - 18862*u^20 - 989*u^21 + 22893*u^22 + 19577*u^23 - 10044*u^24 - 26938*u^25 - 8556*u^26 + 18339*u^27 + 17712*u^28 - 4428*u^29 - 14608*u^30 - 3668*u^31 + 7046*u^32 + 4461*u^33 - 1857*u^34 - 2372*u^35 + 60*u^36 + 745*u^37 + 135*u^38 - 135*u^39 - 44*u^40 + 11*u^41 + 5*u^42", "(-3 - 4*u - 3*u^2 + 4*u^3 + 27*u^4 + 30*u^5 - 6*u^6 - 71*u^7 - 93*u^8 - 58*u^9 + 141*u^10 + 484*u^11 + 572*u^12 - 408*u^13 - 2100*u^14 - 1992*u^15 + 1863*u^16 + 5912*u^17 + 3259*u^18 - 6024*u^19 - 10545*u^20 - 1382*u^21 + 12078*u^22 + 11277*u^23 - 4592*u^24 - 14690*u^25 - 5520*u^26 + 9494*u^27 + 10116*u^28 - 1788*u^29 - 8028*u^30 - 2448*u^31 + 3729*u^32 + 2646*u^33 - 903*u^34 - 1362*u^35 - 21*u^36 + 420*u^37 + 90*u^38 - 75*u^39 - 27*u^40 + 6*u^41 + 3*u^42)\/2" ], [ "-u^3", "u - u^3 + u^5" ], [ 0, "u" ], [ "u", "u - u^3" ], [ "u^3", "u - u^3" ], "{1, 0}", [ 1, "-u^2" ], [ "(1 + 2*u + u^2 + 4*u^3 - 9*u^4 - 12*u^5 - 6*u^6 + 29*u^7 + 47*u^8 + 26*u^9 - 83*u^10 - 198*u^11 - 168*u^12 + 212*u^13 + 728*u^14 + 596*u^15 - 701*u^16 - 1950*u^17 - 1005*u^18 + 2030*u^19 + 3467*u^20 + 432*u^21 - 4010*u^22 - 3743*u^23 + 1528*u^24 + 4892*u^25 + 1840*u^26 - 3164*u^27 - 3372*u^28 + 596*u^29 + 2676*u^30 + 816*u^31 - 1243*u^32 - 882*u^33 + 301*u^34 + 454*u^35 + 7*u^36 - 140*u^37 - 30*u^38 + 25*u^39 + 9*u^40 - 2*u^41 - u^42)\/2", "u - u^3 - 4*u^4 - u^5 + 4*u^6 + 4*u^7 - 2*u^8 - 3*u^9 + u^11" ], [ "(-13 - 22*u - 11*u^2 + 22*u^3 + 109*u^4 + 132*u^5 - 32*u^6 - 367*u^7 - 537*u^8 - 150*u^9 + 1029*u^10 + 2264*u^11 + 1684*u^12 - 2640*u^13 - 8228*u^14 - 6268*u^15 + 8309*u^16 + 21786*u^17 + 10583*u^18 - 23262*u^19 - 38503*u^20 - 3920*u^21 + 45212*u^22 + 41181*u^23 - 17894*u^24 - 54588*u^25 - 19792*u^26 + 35740*u^27 + 37220*u^28 - 7172*u^29 - 29740*u^30 - 8720*u^31 + 13879*u^32 + 9638*u^33 - 3391*u^34 - 4986*u^35 - 59*u^36 + 1540*u^37 + 328*u^38 - 275*u^39 - 99*u^40 + 22*u^41 + 11*u^42)\/2", "-1 - u + 2*u^3 + 9*u^4 + 5*u^5 - 9*u^6 - 22*u^7 - 16*u^8 + 7*u^9 + 56*u^10 + 112*u^11 + 84*u^12 - 212*u^13 - 576*u^14 - 272*u^15 + 919*u^16 + 1561*u^17 + 8*u^18 - 2526*u^19 - 2277*u^20 + 1553*u^21 + 4069*u^22 + 1164*u^23 - 3573*u^24 - 3472*u^25 + 1244*u^26 + 3716*u^27 + 884*u^28 - 2356*u^29 - 1556*u^30 + 880*u^31 + 1127*u^32 - 113*u^33 - 504*u^34 - 66*u^35 + 145*u^36 + 41*u^37 - 25*u^38 - 10*u^39 + 2*u^40 + u^41" ], [ "(-15 - 26*u - 11*u^2 + 28*u^3 + 127*u^4 + 152*u^5 - 50*u^6 - 431*u^7 - 617*u^8 - 146*u^9 + 1237*u^10 + 2668*u^11 + 1868*u^12 - 3344*u^13 - 9796*u^14 - 6868*u^15 + 10743*u^16 + 25726*u^17 + 10647*u^18 - 29384*u^19 - 44325*u^20 - 708*u^21 + 55114*u^22 + 44977*u^23 - 25864*u^24 - 63720*u^25 - 18088*u^26 + 44706*u^27 + 40700*u^28 - 12204*u^29 - 34404*u^30 - 7392*u^31 + 17005*u^32 + 9922*u^33 - 4719*u^34 - 5404*u^35 + 303*u^36 + 1720*u^37 + 270*u^38 - 315*u^39 - 95*u^40 + 26*u^41 + 11*u^42)\/2", "-u^2 - u^3 + 2*u^4 + 4*u^5 + 5*u^6 + u^7 + 2*u^8 - 11*u^9 - 41*u^10 - 34*u^11 + 104*u^12 + 224*u^13 - 4*u^14 - 548*u^15 - 570*u^16 + 510*u^17 + 1537*u^18 + 543*u^19 - 1892*u^20 - 2330*u^21 + 671*u^22 + 3335*u^23 + 1576*u^24 - 2479*u^25 - 3080*u^26 + 477*u^27 + 2860*u^28 + 1044*u^29 - 1580*u^30 - 1340*u^31 + 444*u^32 + 872*u^33 + 47*u^34 - 361*u^35 - 102*u^36 + 96*u^37 + 45*u^38 - 15*u^39 - 10*u^40 + u^41 + u^42" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-5.7925 + 1.33127*I", "-5.7925 - 1.33127*I", "-2.37041 - 2.3134*I", "-2.37041 + 2.3134*I", "0.117899 + 0.694763*I", "0.117899 - 0.694763*I", "-5.3491 - 6.48185*I", "-5.3491 + 6.48185*I", "-1.69061 + 8.49752*I", "-1.69061 - 8.49752*I", "-4.05606 + 1.05891*I", "-4.05606 - 1.05891*I", "0.47003 + 3.49797*I", "0.47003 - 3.49797*I", "0.86535 + 1.34877*I", "0.86535 - 1.34877*I", "3.14686 - 0.23394*I", "3.14686 + 0.23394*I", "4.5103 + 2.45703*I", "4.5103 - 2.45703*I", "2.59778 + 7.42216*I", "2.59778 - 7.42216*I", "4.38701 - 5.48645*I", "4.38701 + 5.48645*I", 1.1221, "-1.77735 - 6.01104*I", "-1.77735 + 6.01104*I", "4.74199 + 0.21154*I", "4.74199 - 0.21154*I", "-1.01538 + 2.84865*I", "-1.01538 - 2.84865*I", "3.01994 - 4.67918*I", "3.01994 + 4.67918*I", "3.34693 - 8.44363*I", "3.34693 + 8.44363*I", "0.77235 - 2.35753*I", "0.77235 + 2.35753*I", "1.20075 - 13.7069*I", "1.20075 + 13.7069*I", "1.39154 + 1.44262*I", "1.39154 - 1.44262*I", "-0.03125 - 3.16118*I", "-0.03125 + 3.16118*I" ], "uPolysN":[ "-1 + 4*u^2 + 11*u^3 + 27*u^4 + 54*u^5 + 101*u^6 + 178*u^7 + 294*u^8 + 460*u^9 + 698*u^10 + 1007*u^11 + 1408*u^12 + 1912*u^13 + 2496*u^14 + 3204*u^15 + 3945*u^16 + 4792*u^17 + 5576*u^18 + 6433*u^19 + 7051*u^20 + 7742*u^21 + 7977*u^22 + 8326*u^23 + 8053*u^24 + 7968*u^25 + 7200*u^26 + 6748*u^27 + 5632*u^28 + 5008*u^29 + 3792*u^30 + 3208*u^31 + 2155*u^32 + 1736*u^33 + 1008*u^34 + 771*u^35 + 375*u^36 + 270*u^37 + 105*u^38 + 70*u^39 + 20*u^40 + 12*u^41 + 2*u^42 + u^43", "-1 + 3*u + 7*u^2 - 39*u^3 + 15*u^4 + 215*u^5 - 440*u^6 - 465*u^7 + 3170*u^8 - 4263*u^9 - 2865*u^10 + 18111*u^11 - 28284*u^12 + 24052*u^13 - 28104*u^14 + 87400*u^15 - 214603*u^16 + 352457*u^17 - 446887*u^18 + 577003*u^19 - 956197*u^20 + 1717931*u^21 - 2687372*u^22 + 3456655*u^23 - 3790455*u^24 + 3962980*u^25 - 4599156*u^26 + 6082556*u^27 - 8084728*u^28 + 9695272*u^29 - 10054384*u^30 + 8930908*u^31 - 6797157*u^32 + 4439323*u^33 - 2487785*u^34 + 1192929*u^35 - 486533*u^36 + 167091*u^37 - 47584*u^38 + 10979*u^39 - 1980*u^40 + 263*u^41 - 23*u^42 + u^43", "-1 - 3*u - 3*u^2 + u^3 + 11*u^4 + 21*u^5 + 10*u^6 - 31*u^7 - 76*u^8 - 65*u^9 + 61*u^10 + 279*u^11 + 364*u^12 - 44*u^13 - 940*u^14 - 1324*u^15 + 105*u^16 + 2651*u^17 + 2955*u^18 - 1025*u^19 - 5497*u^20 - 3899*u^21 + 3578*u^22 + 7753*u^23 + 2215*u^24 - 6420*u^25 - 6732*u^26 + 1324*u^27 + 6536*u^28 + 2776*u^29 - 3272*u^30 - 3492*u^31 + 427*u^32 + 2125*u^33 + 581*u^34 - 755*u^35 - 461*u^36 + 133*u^37 + 170*u^38 + 5*u^39 - 34*u^40 - 7*u^41 + 3*u^42 + u^43", "-16 - 136*u - 449*u^2 - 479*u^3 + 1850*u^4 + 10908*u^5 + 32357*u^6 + 69109*u^7 + 113621*u^8 + 140564*u^9 + 101677*u^10 - 66693*u^11 - 422068*u^12 - 977336*u^13 - 1657948*u^14 - 2274196*u^15 - 2528924*u^16 - 2074216*u^17 - 610191*u^18 + 1997935*u^19 + 5624590*u^20 + 9853988*u^21 + 14042893*u^22 + 17471701*u^23 + 19538209*u^24 + 19925036*u^25 + 18677136*u^26 + 16163036*u^27 + 12942192*u^28 + 9595840*u^29 + 6584872*u^30 + 4175704*u^31 + 2440532*u^32 + 1309620*u^33 + 641855*u^34 + 285325*u^35 + 113994*u^36 + 40440*u^37 + 12533*u^38 + 3317*u^39 + 725*u^40 + 124*u^41 + 15*u^42 + u^43", "-4 + 8*u - 25*u^2 + 33*u^3 - 44*u^4 + 46*u^5 - 13*u^6 + 51*u^7 + 73*u^8 + 52*u^9 + 261*u^10 + 51*u^11 + 514*u^12 + 90*u^13 + 794*u^14 + 208*u^15 + 996*u^16 + 476*u^17 + 1013*u^18 + 903*u^19 + 802*u^20 + 1408*u^21 + 413*u^22 + 1823*u^23 - 11*u^24 + 1996*u^25 - 332*u^26 + 1868*u^27 - 472*u^28 + 1504*u^29 - 444*u^30 + 1040*u^31 - 322*u^32 + 612*u^33 - 185*u^34 + 301*u^35 - 84*u^36 + 120*u^37 - 29*u^38 + 37*u^39 - 7*u^40 + 8*u^41 - u^42 + u^43", "-1 - 3*u - 3*u^2 + u^3 + 11*u^4 + 21*u^5 + 10*u^6 - 31*u^7 - 76*u^8 - 65*u^9 + 61*u^10 + 279*u^11 + 364*u^12 - 44*u^13 - 940*u^14 - 1324*u^15 + 105*u^16 + 2651*u^17 + 2955*u^18 - 1025*u^19 - 5497*u^20 - 3899*u^21 + 3578*u^22 + 7753*u^23 + 2215*u^24 - 6420*u^25 - 6732*u^26 + 1324*u^27 + 6536*u^28 + 2776*u^29 - 3272*u^30 - 3492*u^31 + 427*u^32 + 2125*u^33 + 581*u^34 - 755*u^35 - 461*u^36 + 133*u^37 + 170*u^38 + 5*u^39 - 34*u^40 - 7*u^41 + 3*u^42 + u^43", "-9 + 54*u - 22*u^2 - 445*u^3 + 733*u^4 + 1544*u^5 - 4967*u^6 + 1374*u^7 + 6894*u^8 - 1978*u^9 - 11624*u^10 + 5979*u^11 + 8190*u^12 - 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3.464101615137754587`4.705864146578835*I" ], "Abelian":false }, { "IdealName":"abJ10_73_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":8.1577e-2, "TimingZeroDimVars":5.7603999999999995e-2, "TimingmagmaVCompNormalize":5.8838999999999995e-2, "TimingNumberOfSols":2.3858999999999998e-2, "TimingIsRadical":1.569e-3, "TimingArcColoring":5.5573e-2, "TimingObstruction":4.09e-4, "TimingComplexVolumeN":0.56858, "TimingaCuspShapeN":4.902e-3, "TiminguValues":0.631254, "TiminguPolysN":7.900000000000002e-5, "TiminguPolys":0.8077, "TimingaCuspShape":8.9366e-2, "TimingRepresentationsN":2.6809e-2, "TiminguValues_ij":0.149372, "TiminguPoly_ij":0.153708, "TiminguPolys_ij_N":3.1e-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 + u^2)*(-1 + 4*u^2 + 11*u^3 + 27*u^4 + 54*u^5 + 101*u^6 + 178*u^7 + 294*u^8 + 460*u^9 + 698*u^10 + 1007*u^11 + 1408*u^12 + 1912*u^13 + 2496*u^14 + 3204*u^15 + 3945*u^16 + 4792*u^17 + 5576*u^18 + 6433*u^19 + 7051*u^20 + 7742*u^21 + 7977*u^22 + 8326*u^23 + 8053*u^24 + 7968*u^25 + 7200*u^26 + 6748*u^27 + 5632*u^28 + 5008*u^29 + 3792*u^30 + 3208*u^31 + 2155*u^32 + 1736*u^33 + 1008*u^34 + 771*u^35 + 375*u^36 + 270*u^37 + 105*u^38 + 70*u^39 + 20*u^40 + 12*u^41 + 2*u^42 + u^43)", "(1 + u)^2*(-1 + 3*u + 7*u^2 - 39*u^3 + 15*u^4 + 215*u^5 - 440*u^6 - 465*u^7 + 3170*u^8 - 4263*u^9 - 2865*u^10 + 18111*u^11 - 28284*u^12 + 24052*u^13 - 28104*u^14 + 87400*u^15 - 214603*u^16 + 352457*u^17 - 446887*u^18 + 577003*u^19 - 956197*u^20 + 1717931*u^21 - 2687372*u^22 + 3456655*u^23 - 3790455*u^24 + 3962980*u^25 - 4599156*u^26 + 6082556*u^27 - 8084728*u^28 + 9695272*u^29 - 10054384*u^30 + 8930908*u^31 - 6797157*u^32 + 4439323*u^33 - 2487785*u^34 + 1192929*u^35 - 486533*u^36 + 167091*u^37 - 47584*u^38 + 10979*u^39 - 1980*u^40 + 263*u^41 - 23*u^42 + u^43)", "(1 + u)^2*(-1 - 3*u - 3*u^2 + u^3 + 11*u^4 + 21*u^5 + 10*u^6 - 31*u^7 - 76*u^8 - 65*u^9 + 61*u^10 + 279*u^11 + 364*u^12 - 44*u^13 - 940*u^14 - 1324*u^15 + 105*u^16 + 2651*u^17 + 2955*u^18 - 1025*u^19 - 5497*u^20 - 3899*u^21 + 3578*u^22 + 7753*u^23 + 2215*u^24 - 6420*u^25 - 6732*u^26 + 1324*u^27 + 6536*u^28 + 2776*u^29 - 3272*u^30 - 3492*u^31 + 427*u^32 + 2125*u^33 + 581*u^34 - 755*u^35 - 461*u^36 + 133*u^37 + 170*u^38 + 5*u^39 - 34*u^40 - 7*u^41 + 3*u^42 + u^43)", "u^2*(-16 - 136*u - 449*u^2 - 479*u^3 + 1850*u^4 + 10908*u^5 + 32357*u^6 + 69109*u^7 + 113621*u^8 + 140564*u^9 + 101677*u^10 - 66693*u^11 - 422068*u^12 - 977336*u^13 - 1657948*u^14 - 2274196*u^15 - 2528924*u^16 - 2074216*u^17 - 610191*u^18 + 1997935*u^19 + 5624590*u^20 + 9853988*u^21 + 14042893*u^22 + 17471701*u^23 + 19538209*u^24 + 19925036*u^25 + 18677136*u^26 + 16163036*u^27 + 12942192*u^28 + 9595840*u^29 + 6584872*u^30 + 4175704*u^31 + 2440532*u^32 + 1309620*u^33 + 641855*u^34 + 285325*u^35 + 113994*u^36 + 40440*u^37 + 12533*u^38 + 3317*u^39 + 725*u^40 + 124*u^41 + 15*u^42 + u^43)", "u^2*(-4 + 8*u - 25*u^2 + 33*u^3 - 44*u^4 + 46*u^5 - 13*u^6 + 51*u^7 + 73*u^8 + 52*u^9 + 261*u^10 + 51*u^11 + 514*u^12 + 90*u^13 + 794*u^14 + 208*u^15 + 996*u^16 + 476*u^17 + 1013*u^18 + 903*u^19 + 802*u^20 + 1408*u^21 + 413*u^22 + 1823*u^23 - 11*u^24 + 1996*u^25 - 332*u^26 + 1868*u^27 - 472*u^28 + 1504*u^29 - 444*u^30 + 1040*u^31 - 322*u^32 + 612*u^33 - 185*u^34 + 301*u^35 - 84*u^36 + 120*u^37 - 29*u^38 + 37*u^39 - 7*u^40 + 8*u^41 - u^42 + u^43)", "(-1 + u)^2*(-1 - 3*u - 3*u^2 + u^3 + 11*u^4 + 21*u^5 + 10*u^6 - 31*u^7 - 76*u^8 - 65*u^9 + 61*u^10 + 279*u^11 + 364*u^12 - 44*u^13 - 940*u^14 - 1324*u^15 + 105*u^16 + 2651*u^17 + 2955*u^18 - 1025*u^19 - 5497*u^20 - 3899*u^21 + 3578*u^22 + 7753*u^23 + 2215*u^24 - 6420*u^25 - 6732*u^26 + 1324*u^27 + 6536*u^28 + 2776*u^29 - 3272*u^30 - 3492*u^31 + 427*u^32 + 2125*u^33 + 581*u^34 - 755*u^35 - 461*u^36 + 133*u^37 + 170*u^38 + 5*u^39 - 34*u^40 - 7*u^41 + 3*u^42 + u^43)", "(1 - u + u^2)*(-9 + 54*u - 22*u^2 - 445*u^3 + 733*u^4 + 1544*u^5 - 4967*u^6 + 1374*u^7 + 6894*u^8 - 1978*u^9 - 11624*u^10 + 5979*u^11 + 8190*u^12 - 644*u^13 - 9118*u^14 + 3710*u^15 + 5223*u^16 - 4804*u^17 - 4584*u^18 + 4163*u^19 + 4013*u^20 - 2344*u^21 - 4007*u^22 + 3654*u^23 + 485*u^24 + 256*u^25 - 3016*u^26 + 2236*u^27 - 416*u^28 + 640*u^29 - 1160*u^30 + 798*u^31 - 263*u^32 + 160*u^33 - 232*u^34 + 193*u^35 - 47*u^36 + 8*u^37 - 31*u^38 + 24*u^39 - 2*u^40 - 2*u^42 + u^43)", "(1 + u + u^2)*(-1 + 4*u^2 + 11*u^3 + 27*u^4 + 54*u^5 + 101*u^6 + 178*u^7 + 294*u^8 + 460*u^9 + 698*u^10 + 1007*u^11 + 1408*u^12 + 1912*u^13 + 2496*u^14 + 3204*u^15 + 3945*u^16 + 4792*u^17 + 5576*u^18 + 6433*u^19 + 7051*u^20 + 7742*u^21 + 7977*u^22 + 8326*u^23 + 8053*u^24 + 7968*u^25 + 7200*u^26 + 6748*u^27 + 5632*u^28 + 5008*u^29 + 3792*u^30 + 3208*u^31 + 2155*u^32 + 1736*u^33 + 1008*u^34 + 771*u^35 + 375*u^36 + 270*u^37 + 105*u^38 + 70*u^39 + 20*u^40 + 12*u^41 + 2*u^42 + u^43)", "u^2*(-4 + 8*u - 25*u^2 + 33*u^3 - 44*u^4 + 46*u^5 - 13*u^6 + 51*u^7 + 73*u^8 + 52*u^9 + 261*u^10 + 51*u^11 + 514*u^12 + 90*u^13 + 794*u^14 + 208*u^15 + 996*u^16 + 476*u^17 + 1013*u^18 + 903*u^19 + 802*u^20 + 1408*u^21 + 413*u^22 + 1823*u^23 - 11*u^24 + 1996*u^25 - 332*u^26 + 1868*u^27 - 472*u^28 + 1504*u^29 - 444*u^30 + 1040*u^31 - 322*u^32 + 612*u^33 - 185*u^34 + 301*u^35 - 84*u^36 + 120*u^37 - 29*u^38 + 37*u^39 - 7*u^40 + 8*u^41 - u^42 + u^43)", "(1 - u + u^2)*(-1 + 8*u + 38*u^2 + 107*u^3 + 239*u^4 + 422*u^5 + 499*u^6 + 166*u^7 - 962*u^8 - 2956*u^9 - 4268*u^10 + 1111*u^11 + 28132*u^12 + 106968*u^13 + 290428*u^14 + 659876*u^15 + 1325161*u^16 + 2414480*u^17 + 4051366*u^18 + 6318229*u^19 + 9211123*u^20 + 12598590*u^21 + 16202195*u^22 + 19613406*u^23 + 22352633*u^24 + 23964600*u^25 + 24129976*u^26 + 22760300*u^27 + 20040832*u^28 + 16399320*u^29 + 12403288*u^30 + 8615444*u^31 + 5456535*u^32 + 3125944*u^33 + 1605526*u^34 + 731931*u^35 + 292715*u^36 + 101230*u^37 + 29719*u^38 + 7222*u^39 + 1400*u^40 + 204*u^41 + 20*u^42 + u^43)" ], "RileyPolyC":[ "(1 + y + y^2)*(-1 + 8*y + 38*y^2 + 107*y^3 + 239*y^4 + 422*y^5 + 499*y^6 + 166*y^7 - 962*y^8 - 2956*y^9 - 4268*y^10 + 1111*y^11 + 28132*y^12 + 106968*y^13 + 290428*y^14 + 659876*y^15 + 1325161*y^16 + 2414480*y^17 + 4051366*y^18 + 6318229*y^19 + 9211123*y^20 + 12598590*y^21 + 16202195*y^22 + 19613406*y^23 + 22352633*y^24 + 23964600*y^25 + 24129976*y^26 + 22760300*y^27 + 20040832*y^28 + 16399320*y^29 + 12403288*y^30 + 8615444*y^31 + 5456535*y^32 + 3125944*y^33 + 1605526*y^34 + 731931*y^35 + 292715*y^36 + 101230*y^37 + 29719*y^38 + 7222*y^39 + 1400*y^40 + 204*y^41 + 20*y^42 + y^43)", "(-1 + y)^2*(-1 + 23*y - 253*y^2 + 1721*y^3 - 7285*y^4 + 20007*y^5 - 63928*y^6 + 330107*y^7 - 1356666*y^8 + 3197809*y^9 - 6067445*y^10 + 7196855*y^11 - 1863172*y^12 - 7653372*y^13 + 36702360*y^14 + 32071136*y^15 + 40444737*y^16 + 131054401*y^17 + 192710813*y^18 + 196131203*y^19 + 240159759*y^20 + 172821587*y^21 + 114552148*y^22 + 85988299*y^23 + 29408857*y^24 + 22784356*y^25 + 5968636*y^26 + 4991260*y^27 + 57544*y^28 + 2860904*y^29 - 1086848*y^30 + 1558332*y^31 - 582329*y^32 + 501507*y^33 - 155773*y^34 + 99561*y^35 - 24689*y^36 + 12611*y^37 - 2368*y^38 + 1007*y^39 - 128*y^40 + 47*y^41 - 3*y^42 + y^43)", "(-1 + y)^2*(-1 + 3*y + 7*y^2 - 39*y^3 + 15*y^4 + 215*y^5 - 440*y^6 - 465*y^7 + 3170*y^8 - 4263*y^9 - 2865*y^10 + 18111*y^11 - 28284*y^12 + 24052*y^13 - 28104*y^14 + 87400*y^15 - 214603*y^16 + 352457*y^17 - 446887*y^18 + 577003*y^19 - 956197*y^20 + 1717931*y^21 - 2687372*y^22 + 3456655*y^23 - 3790455*y^24 + 3962980*y^25 - 4599156*y^26 + 6082556*y^27 - 8084728*y^28 + 9695272*y^29 - 10054384*y^30 + 8930908*y^31 - 6797157*y^32 + 4439323*y^33 - 2487785*y^34 + 1192929*y^35 - 486533*y^36 + 167091*y^37 - 47584*y^38 + 10979*y^39 - 1980*y^40 + 263*y^41 - 23*y^42 + y^43)", "y^2*(-256 + 4128*y - 12113*y^2 - 40811*y^3 + 22446*y^4 + 109056*y^5 + 1588749*y^6 + 11179697*y^7 + 30601373*y^8 + 13700820*y^9 - 150031119*y^10 - 489399889*y^11 - 677327144*y^12 - 32148344*y^13 + 1848108724*y^14 + 4289273396*y^15 + 5708266932*y^16 + 4998122268*y^17 + 2704763021*y^18 + 534400143*y^19 - 277782730*y^20 + 113078488*y^21 + 734594937*y^22 + 888838557*y^23 + 579631949*y^24 + 173659272*y^25 - 63265388*y^26 - 109817844*y^27 - 68735344*y^28 - 25459648*y^29 - 5640952*y^30 - 1206216*y^31 - 957368*y^32 - 605044*y^33 - 66593*y^34 + 192941*y^35 + 184326*y^36 + 97504*y^37 + 35761*y^38 + 9589*y^39 + 1881*y^40 + 260*y^41 + 23*y^42 + y^43)", "y^2*(-16 - 136*y - 449*y^2 - 479*y^3 + 1850*y^4 + 10908*y^5 + 32357*y^6 + 69109*y^7 + 113621*y^8 + 140564*y^9 + 101677*y^10 - 66693*y^11 - 422068*y^12 - 977336*y^13 - 1657948*y^14 - 2274196*y^15 - 2528924*y^16 - 2074216*y^17 - 610191*y^18 + 1997935*y^19 + 5624590*y^20 + 9853988*y^21 + 14042893*y^22 + 17471701*y^23 + 19538209*y^24 + 19925036*y^25 + 18677136*y^26 + 16163036*y^27 + 12942192*y^28 + 9595840*y^29 + 6584872*y^30 + 4175704*y^31 + 2440532*y^32 + 1309620*y^33 + 641855*y^34 + 285325*y^35 + 113994*y^36 + 40440*y^37 + 12533*y^38 + 3317*y^39 + 725*y^40 + 124*y^41 + 15*y^42 + y^43)", "(-1 + y)^2*(-1 + 3*y + 7*y^2 - 39*y^3 + 15*y^4 + 215*y^5 - 440*y^6 - 465*y^7 + 3170*y^8 - 4263*y^9 - 2865*y^10 + 18111*y^11 - 28284*y^12 + 24052*y^13 - 28104*y^14 + 87400*y^15 - 214603*y^16 + 352457*y^17 - 446887*y^18 + 577003*y^19 - 956197*y^20 + 1717931*y^21 - 2687372*y^22 + 3456655*y^23 - 3790455*y^24 + 3962980*y^25 - 4599156*y^26 + 6082556*y^27 - 8084728*y^28 + 9695272*y^29 - 10054384*y^30 + 8930908*y^31 - 6797157*y^32 + 4439323*y^33 - 2487785*y^34 + 1192929*y^35 - 486533*y^36 + 167091*y^37 - 47584*y^38 + 10979*y^39 - 1980*y^40 + 263*y^41 - 23*y^42 + y^43)", "(1 + y + y^2)*(-81 + 2520*y - 35350*y^2 + 307623*y^3 - 1857513*y^4 + 8323178*y^5 - 28492665*y^6 + 76110966*y^7 - 161312322*y^8 + 269678832*y^9 - 355646680*y^10 + 404528187*y^11 - 422897148*y^12 + 444448572*y^13 - 445085132*y^14 + 415992020*y^15 - 382222831*y^16 + 344209000*y^17 - 283257818*y^18 + 234299601*y^19 - 181747829*y^20 + 134857362*y^21 - 96665273*y^22 + 67394398*y^23 - 43135727*y^24 + 28770180*y^25 - 16509968*y^26 + 10388628*y^27 - 5327000*y^28 + 3188568*y^29 - 1396848*y^30 + 835920*y^31 - 301817*y^32 + 191516*y^33 - 58434*y^34 + 38167*y^35 - 10237*y^36 + 6030*y^37 - 1373*y^38 + 650*y^39 - 112*y^40 + 40*y^41 - 4*y^42 + y^43)", "(1 + y + y^2)*(-1 + 8*y + 38*y^2 + 107*y^3 + 239*y^4 + 422*y^5 + 499*y^6 + 166*y^7 - 962*y^8 - 2956*y^9 - 4268*y^10 + 1111*y^11 + 28132*y^12 + 106968*y^13 + 290428*y^14 + 659876*y^15 + 1325161*y^16 + 2414480*y^17 + 4051366*y^18 + 6318229*y^19 + 9211123*y^20 + 12598590*y^21 + 16202195*y^22 + 19613406*y^23 + 22352633*y^24 + 23964600*y^25 + 24129976*y^26 + 22760300*y^27 + 20040832*y^28 + 16399320*y^29 + 12403288*y^30 + 8615444*y^31 + 5456535*y^32 + 3125944*y^33 + 1605526*y^34 + 731931*y^35 + 292715*y^36 + 101230*y^37 + 29719*y^38 + 7222*y^39 + 1400*y^40 + 204*y^41 + 20*y^42 + y^43)", "y^2*(-16 - 136*y - 449*y^2 - 479*y^3 + 1850*y^4 + 10908*y^5 + 32357*y^6 + 69109*y^7 + 113621*y^8 + 140564*y^9 + 101677*y^10 - 66693*y^11 - 422068*y^12 - 977336*y^13 - 1657948*y^14 - 2274196*y^15 - 2528924*y^16 - 2074216*y^17 - 610191*y^18 + 1997935*y^19 + 5624590*y^20 + 9853988*y^21 + 14042893*y^22 + 17471701*y^23 + 19538209*y^24 + 19925036*y^25 + 18677136*y^26 + 16163036*y^27 + 12942192*y^28 + 9595840*y^29 + 6584872*y^30 + 4175704*y^31 + 2440532*y^32 + 1309620*y^33 + 641855*y^34 + 285325*y^35 + 113994*y^36 + 40440*y^37 + 12533*y^38 + 3317*y^39 + 725*y^40 + 124*y^41 + 15*y^42 + y^43)", "(1 + y + y^2)*(-1 + 140*y + 746*y^2 + 1035*y^3 - 4005*y^4 - 7634*y^5 + 116763*y^6 + 924938*y^7 + 3870178*y^8 + 11511468*y^9 + 26825344*y^10 + 51631543*y^11 + 85053508*y^12 + 123427576*y^13 + 161105836*y^14 + 192677676*y^15 + 213183157*y^16 + 220759464*y^17 + 214983634*y^18 + 197117037*y^19 + 168702383*y^20 + 135742142*y^21 + 102034467*y^22 + 72990210*y^23 + 49332393*y^24 + 32551840*y^25 + 20298576*y^26 + 12576460*y^27 + 7212744*y^28 + 4189808*y^29 + 2224296*y^30 + 1235060*y^31 + 622691*y^32 + 330680*y^33 + 155138*y^34 + 74107*y^35 + 30055*y^36 + 11934*y^37 + 3855*y^38 + 1186*y^39 + 276*y^40 + 60*y^41 + 8*y^42 + y^43)" ] }, "GeometricRepresentation":[ 1.37069e1, [ "J10_73_0", 1, "{38, 39}" ] ] } }