{ "Index":141, "Name":"10_57", "RolfsenName":"10_57", "DTname":"10a_6", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-4, -16, -20, 12, 6, -18, 8, -2, -10, -14}", "Acode":"{-3, -9, -1, 7, 4, -10, 5, -2, -6, -8}", "PDcode":[ "{1, 4, 2, 5}", "{3, 16, 4, 17}", "{5, 20, 6, 1}", "{7, 13, 8, 12}", "{9, 7, 10, 6}", "{11, 18, 12, 19}", "{13, 9, 14, 8}", "{15, 2, 16, 3}", "{17, 10, 18, 11}", "{19, 14, 20, 15}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{3, 9, 5}", [], [ "{3, -9, 2, 2}", "{2, -3, 1, 2}", "{3, -1, 4, 1}", "{5, 4, 6, 1}", "{9, -2, 8, 2}", "{8, 5, 7, 2}", "{1, -8, 10, 2}" ], "{4, 9}", "{6}", 6 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a - 2*u^2 + a^2*u^2 + a^3*b*u^2 - b^2*u^2 + 2*a^2*b^2*u^2 + a*b^3*u^2 + 3*u^4 - 3*a^2*u^4 - 3*a^3*b*u^4 + b^2*u^4 - 4*a^2*b^2*u^4 - a*b^3*u^4 - u^6 + 2*a^2*u^6 + a^4*u^6 - 2*a*b*u^6 + 6*a^3*b*u^6 - b^2*u^6 + 5*a^2*b^2*u^6 + a*b^3*u^6 + u^8 - a^2*u^8 - 2*a^4*u^8 - 5*a^3*b*u^8 - 2*a^2*b^2*u^8 + a^2*u^10 + a^4*u^10 + a^3*b*u^10", "-b + u^2 + 2*a*b*u^2 + 2*b^2*u^2 + a^2*b^2*u^2 + 2*a*b^3*u^2 + b^4*u^2 - 4*u^4 - 6*a*b*u^4 - 4*b^2*u^4 - 3*a^2*b^2*u^4 - 4*a*b^3*u^4 - b^4*u^4 + 3*u^6 + a^2*u^6 + 8*a*b*u^6 + a^3*b*u^6 + 3*b^2*u^6 + 6*a^2*b^2*u^6 + 5*a*b^3*u^6 + b^4*u^6 - 2*u^8 - 2*a^2*u^8 - 6*a*b*u^8 - 2*a^3*b*u^8 - 2*b^2*u^8 - 5*a^2*b^2*u^8 - 2*a*b^3*u^8 + u^10 + a^2*u^10 + 2*a*b*u^10 + a^3*b*u^10 + a^2*b^2*u^10", "-1 + a^2*u - 2*a*b*u + b^2*u + 2*u^2 + 4*a*b*u^3 - 4*b^2*u^3 - u^4 - 2*a^2*u^5 - 4*a*b*u^5 + 10*b^2*u^5 + u^6 + 2*a^2*u^7 - 2*a*b*u^7 - 16*b^2*u^7 - a^2*u^9 + 10*a*b*u^9 + 19*b^2*u^9 - 2*a^2*u^11 - 14*a*b*u^11 - 16*b^2*u^11 + 3*a^2*u^13 + 12*a*b*u^13 + 10*b^2*u^13 - 2*a^2*u^15 - 6*a*b*u^15 - 4*b^2*u^15 + a^2*u^17 + 2*a*b*u^17 + b^2*u^17", "u + a*b*u - b^2*u - 2*u^2 + 2*b^2*u^3 + 2*u^4 - 4*b^2*u^5 - 2*u^6 + 5*b^2*u^7 + u^8 + a^2*u^9 - 2*a*b*u^9 - 7*b^2*u^9 + 4*a*b*u^11 + 7*b^2*u^11 - a^2*u^13 - 6*a*b*u^13 - 6*b^2*u^13 + a^2*u^15 + 4*a*b*u^15 + 3*b^2*u^15 - a^2*u^17 - 2*a*b*u^17 - b^2*u^17" ], "TimingForPrimaryIdeals":0.158834 }, "v":{ "CheckEq":[ "-(b^2*v)", "-1 + v - a*b*v + b^2*v", "1 - a - b^2*v^2 + a*b^3*v^2", "-b + b^4*v^2" ], "TimingForPrimaryIdeals":7.526e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_57_0", "Generators":[ "b + 2*u^2 - 5*u^3 - 4*u^4 + 28*u^5 - 18*u^6 - 59*u^7 + 93*u^8 + 70*u^9 - 252*u^10 + 8*u^11 + 474*u^12 - 246*u^13 - 670*u^14 + 640*u^15 + 740*u^16 - 1110*u^17 - 612*u^18 + 1497*u^19 + 318*u^20 - 1658*u^21 + 24*u^22 + 1551*u^23 - 289*u^24 - 1234*u^25 + 400*u^26 + 839*u^27 - 370*u^28 - 486*u^29 + 264*u^30 + 236*u^31 - 150*u^32 - 95*u^33 + 68*u^34 + 30*u^35 - 24*u^36 - 7*u^37 + 6*u^38 + u^39 - u^40", "a - 3*u + 4*u^2 + 4*u^3 - 14*u^4 + 3*u^5 + 24*u^6 - 20*u^7 - 34*u^8 + 46*u^9 + 34*u^10 - 68*u^11 - 26*u^12 + 76*u^13 + 16*u^14 - 68*u^15 - 6*u^16 + 49*u^17 + 2*u^18 - 28*u^19 + 13*u^21 - 4*u^23 + u^25", "-1 + 2*u - 3*u^2 + 11*u^3 - 19*u^4 - 12*u^5 + 92*u^6 - 78*u^7 - 159*u^8 + 322*u^9 + 99*u^10 - 730*u^11 + 296*u^12 + 1120*u^13 - 1112*u^14 - 1204*u^15 + 2185*u^16 + 790*u^17 - 3169*u^18 + 97*u^19 + 3657*u^20 - 1140*u^21 - 3472*u^22 + 1934*u^23 + 2740*u^24 - 2224*u^25 - 1778*u^26 + 1999*u^27 + 924*u^28 - 1472*u^29 - 352*u^30 + 900*u^31 + 67*u^32 - 454*u^33 + 25*u^34 + 187*u^35 - 31*u^36 - 60*u^37 + 16*u^38 + 14*u^39 - 5*u^40 - 2*u^41 + u^42" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.065200000000003e-2, "TimingZeroDimVars":0.1318, "TimingmagmaVCompNormalize":0.133074, "TimingNumberOfSols":0.504068, "TimingIsRadical":6.7582e-2, "TimingArcColoring":6.8119e-2, "TimingObstruction":0.157901, "TimingComplexVolumeN":3.5140279e1, "TimingaCuspShapeN":0.352795, "TiminguValues":0.669611, "TiminguPolysN":0.243101, "TiminguPolys":1.106279, "TimingaCuspShape":0.17074, "TimingRepresentationsN":0.443798, "TiminguValues_ij":0.206249, "TiminguPoly_ij":3.321414, "TiminguPolys_ij_N":0.421562 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":42, "IsRadical":true, "ArcColoring":[ [ "1 - u^2", "u^2" ], [ 1, "u^2" ], "{1, 0}", [ "1 - u^2 + u^4", "-u^4" ], [ "3*u - 4*u^2 - 4*u^3 + 14*u^4 - 3*u^5 - 24*u^6 + 20*u^7 + 34*u^8 - 46*u^9 - 34*u^10 + 68*u^11 + 26*u^12 - 76*u^13 - 16*u^14 + 68*u^15 + 6*u^16 - 49*u^17 - 2*u^18 + 28*u^19 - 13*u^21 + 4*u^23 - u^25", "-2*u^2 + 5*u^3 + 4*u^4 - 28*u^5 + 18*u^6 + 59*u^7 - 93*u^8 - 70*u^9 + 252*u^10 - 8*u^11 - 474*u^12 + 246*u^13 + 670*u^14 - 640*u^15 - 740*u^16 + 1110*u^17 + 612*u^18 - 1497*u^19 - 318*u^20 + 1658*u^21 - 24*u^22 - 1551*u^23 + 289*u^24 + 1234*u^25 - 400*u^26 - 839*u^27 + 370*u^28 + 486*u^29 - 264*u^30 - 236*u^31 + 150*u^32 + 95*u^33 - 68*u^34 - 30*u^35 + 24*u^36 + 7*u^37 - 6*u^38 - u^39 + u^40" ], [ "-1 + 4*u - 3*u^2 + u^3 - 5*u^4 + 4*u^5 + 38*u^6 - 63*u^7 - 57*u^8 + 215*u^9 - 20*u^10 - 476*u^11 + 338*u^12 + 746*u^13 - 970*u^14 - 866*u^15 + 1825*u^16 + 712*u^17 - 2671*u^18 - 277*u^19 + 3201*u^20 - 282*u^21 - 3236*u^22 + 749*u^23 + 2798*u^24 - 971*u^25 - 2077*u^26 + 923*u^27 + 1326*u^28 - 702*u^29 - 722*u^30 + 438*u^31 + 331*u^32 - 224*u^33 - 125*u^34 + 93*u^35 + 37*u^36 - 30*u^37 - 8*u^38 + 7*u^39 + u^40 - u^41", "-u - u^2 + 3*u^3 + 14*u^4 - 38*u^5 - 5*u^6 + 126*u^7 - 93*u^8 - 237*u^9 + 376*u^10 + 262*u^11 - 890*u^12 - 12*u^13 + 1532*u^14 - 616*u^15 - 2090*u^16 + 1551*u^17 + 2329*u^18 - 2525*u^19 - 2142*u^20 + 3182*u^21 + 1621*u^22 - 3306*u^23 - 981*u^24 + 2898*u^25 + 437*u^26 - 2167*u^27 - 100*u^28 + 1387*u^29 - 42*u^30 - 754*u^31 + 64*u^32 + 345*u^33 - 41*u^34 - 129*u^35 + 18*u^36 + 38*u^37 - 5*u^38 - 8*u^39 + u^40 + u^41" ], [ "-2*u + 2*u^2 + 10*u^3 - 29*u^4 + 90*u^6 - 87*u^7 - 149*u^8 + 311*u^9 + 108*u^10 - 692*u^11 + 186*u^12 + 1118*u^13 - 810*u^14 - 1394*u^15 + 1682*u^16 + 1346*u^17 - 2558*u^18 - 928*u^19 + 3127*u^20 + 294*u^21 - 3196*u^22 + 313*u^23 + 2781*u^24 - 689*u^25 - 2072*u^26 + 770*u^27 + 1325*u^28 - 634*u^29 - 722*u^30 + 414*u^31 + 331*u^32 - 218*u^33 - 125*u^34 + 92*u^35 + 37*u^36 - 30*u^37 - 8*u^38 + 7*u^39 + u^40 - u^41", "3*u^2 - 6*u^3 + u^4 + 18*u^5 - 31*u^6 - 6*u^7 + 79*u^8 - 59*u^9 - 116*u^10 + 218*u^11 + 60*u^12 - 448*u^13 + 170*u^14 + 654*u^15 - 572*u^16 - 734*u^17 + 1061*u^18 + 610*u^19 - 1469*u^20 - 318*u^21 + 1645*u^22 - 24*u^23 - 1547*u^24 + 289*u^25 + 1233*u^26 - 400*u^27 - 839*u^28 + 370*u^29 + 486*u^30 - 264*u^31 - 236*u^32 + 150*u^33 + 95*u^34 - 68*u^35 - 30*u^36 + 24*u^37 + 7*u^38 - 6*u^39 - u^40 + u^41" ], [ "-u", "u - u^3" ], [ 0, "u" ], [ "1 - 2*u^2 + u^4 - u^6", "2*u^2 - 2*u^4 + 2*u^6 - u^8" ] ], "Obstruction":-1, "ComplexVolumeN":[ "1.67988 + 2.03798*I", "1.67988 - 2.03798*I", "0.56632 - 2.39851*I", "0.56632 + 2.39851*I", "-3.91253 + 1.78828*I", "-3.91253 - 1.78828*I", "-2.0622 - 2.20756*I", "-2.0622 + 2.20756*I", "-4.59267 + 0.70618*I", "-4.59267 - 0.70618*I", 0.325164, "-1.7779 - 7.76497*I", "-1.7779 + 7.76497*I", "6.58974 - 1.93798*I", "6.58974 + 1.93798*I", "4.86295 - 7.5335*I", "4.86295 + 7.5335*I", "2.85726 - 1.06689*I", "2.85726 + 1.06689*I", "-1.62453 - 2.94974*I", "-1.62453 + 2.94974*I", "3.66366 + 4.35155*I", "3.66366 - 4.35155*I", "-4.73966 - 4.32552*I", "-4.73966 + 4.32552*I", "-3.92956 + 4.75718*I", "-3.92956 - 4.75718*I", "-4.47229 - 1.63203*I", "-4.47229 + 1.63203*I", "-3.05223 - 7.32917*I", "-3.05223 + 7.32917*I", "1.68665 + 7.98804*I", "1.68665 - 7.98804*I", "-0.6894 + 13.5886*I", "-0.6894 - 13.5886*I", "2.037 + 0.16365*I", "2.037 - 0.16365*I", "0.63189 + 5.08816*I", "0.63189 - 5.08816*I", 0.88312, "-1.72875 - 0.76607*I", "-1.72875 + 0.76607*I" ], "uPolysN":[ "1 + 2*u + 3*u^2 - 143*u^3 + 703*u^4 - 2456*u^5 + 7284*u^6 - 19346*u^7 + 47439*u^8 - 108890*u^9 + 237911*u^10 - 500930*u^11 + 1019388*u^12 - 1992872*u^13 + 3702928*u^14 - 6473620*u^15 + 10572923*u^16 - 16068754*u^17 + 22690453*u^18 - 29767861*u^19 + 36307451*u^20 - 41210712*u^21 + 43572168*u^22 - 42946962*u^23 + 39481604*u^24 - 33857836*u^25 + 27077968*u^26 - 20182055*u^27 + 14002224*u^28 - 9027448*u^29 + 5395784*u^30 - 2980812*u^31 + 1515977*u^32 - 706222*u^33 + 299419*u^34 - 114575*u^35 + 39139*u^36 - 11760*u^37 + 3044*u^38 - 658*u^39 + 113*u^40 - 14*u^41 + u^42", "-1 + 2*u - 3*u^2 + 11*u^3 - 19*u^4 - 12*u^5 + 92*u^6 - 78*u^7 - 159*u^8 + 322*u^9 + 99*u^10 - 730*u^11 + 296*u^12 + 1120*u^13 - 1112*u^14 - 1204*u^15 + 2185*u^16 + 790*u^17 - 3169*u^18 + 97*u^19 + 3657*u^20 - 1140*u^21 - 3472*u^22 + 1934*u^23 + 2740*u^24 - 2224*u^25 - 1778*u^26 + 1999*u^27 + 924*u^28 - 1472*u^29 - 352*u^30 + 900*u^31 + 67*u^32 - 454*u^33 + 25*u^34 + 187*u^35 - 31*u^36 - 60*u^37 + 16*u^38 + 14*u^39 - 5*u^40 - 2*u^41 + u^42", "1 + 2*u + 3*u^2 - 143*u^3 + 703*u^4 - 2456*u^5 + 7284*u^6 - 19346*u^7 + 47439*u^8 - 108890*u^9 + 237911*u^10 - 500930*u^11 + 1019388*u^12 - 1992872*u^13 + 3702928*u^14 - 6473620*u^15 + 10572923*u^16 - 16068754*u^17 + 22690453*u^18 - 29767861*u^19 + 36307451*u^20 - 41210712*u^21 + 43572168*u^22 - 42946962*u^23 + 39481604*u^24 - 33857836*u^25 + 27077968*u^26 - 20182055*u^27 + 14002224*u^28 - 9027448*u^29 + 5395784*u^30 - 2980812*u^31 + 1515977*u^32 - 706222*u^33 + 299419*u^34 - 114575*u^35 + 39139*u^36 - 11760*u^37 + 3044*u^38 - 658*u^39 + 113*u^40 - 14*u^41 + u^42", "-1 + 7*u - 5*u^2 - 19*u^3 + 15*u^4 + 73*u^5 - 76*u^6 - 201*u^7 + 328*u^8 + 342*u^9 - 969*u^10 - 218*u^11 + 2136*u^12 - 792*u^13 - 3476*u^14 + 3452*u^15 + 3565*u^16 - 7435*u^17 - 551*u^18 + 10255*u^19 - 5449*u^20 - 8751*u^21 + 10984*u^22 + 2731*u^23 - 11941*u^24 + 3925*u^25 + 7860*u^26 - 6933*u^27 - 2300*u^28 + 5660*u^29 - 1096*u^30 - 2728*u^31 + 1671*u^32 + 639*u^33 - 945*u^34 + 85*u^35 + 291*u^36 - 115*u^37 - 40*u^38 + 35*u^39 - 2*u^40 - 4*u^41 + u^42", "1 + 39*u + 261*u^2 + 1381*u^3 + 5917*u^4 + 21377*u^5 + 66428*u^6 + 180863*u^7 + 437470*u^8 + 952866*u^9 + 1892523*u^10 + 3466090*u^11 + 5908596*u^12 + 9446108*u^13 + 14245224*u^14 + 20350424*u^15 + 27620319*u^16 + 35685165*u^17 + 43948451*u^18 + 51643635*u^19 + 57938809*u^20 + 62070421*u^21 + 63480456*u^22 + 61928063*u^23 + 57547851*u^24 + 50837437*u^25 + 42573922*u^26 + 33676647*u^27 + 25046376*u^28 + 17416376*u^29 + 11248352*u^30 + 6696148*u^31 + 3642705*u^32 + 1793435*u^33 + 790413*u^34 + 307901*u^35 + 104401*u^36 + 30221*u^37 + 7276*u^38 + 1403*u^39 + 204*u^40 + 20*u^41 + u^42", "8 - 28*u + 59*u^3 + 20*u^4 - 88*u^5 - 78*u^6 + 125*u^7 + 106*u^8 - 309*u^9 + 149*u^10 + 508*u^11 - 534*u^12 - 404*u^13 + 512*u^14 - 62*u^15 + 110*u^16 + 358*u^17 - 694*u^18 - 65*u^19 + 666*u^20 - 502*u^21 - 328*u^22 + 827*u^23 + 214*u^24 - 879*u^25 - 265*u^26 + 887*u^27 + 146*u^28 - 866*u^29 + 128*u^30 + 704*u^31 - 296*u^32 - 432*u^33 + 262*u^34 + 191*u^35 - 140*u^36 - 58*u^37 + 48*u^38 + 11*u^39 - 10*u^40 - u^41 + u^42", "-1 + 7*u - 5*u^2 - 19*u^3 + 15*u^4 + 73*u^5 - 76*u^6 - 201*u^7 + 328*u^8 + 342*u^9 - 969*u^10 - 218*u^11 + 2136*u^12 - 792*u^13 - 3476*u^14 + 3452*u^15 + 3565*u^16 - 7435*u^17 - 551*u^18 + 10255*u^19 - 5449*u^20 - 8751*u^21 + 10984*u^22 + 2731*u^23 - 11941*u^24 + 3925*u^25 + 7860*u^26 - 6933*u^27 - 2300*u^28 + 5660*u^29 - 1096*u^30 - 2728*u^31 + 1671*u^32 + 639*u^33 - 945*u^34 + 85*u^35 + 291*u^36 - 115*u^37 - 40*u^38 + 35*u^39 - 2*u^40 - 4*u^41 + u^42", "-1 + 2*u - 3*u^2 + 11*u^3 - 19*u^4 - 12*u^5 + 92*u^6 - 78*u^7 - 159*u^8 + 322*u^9 + 99*u^10 - 730*u^11 + 296*u^12 + 1120*u^13 - 1112*u^14 - 1204*u^15 + 2185*u^16 + 790*u^17 - 3169*u^18 + 97*u^19 + 3657*u^20 - 1140*u^21 - 3472*u^22 + 1934*u^23 + 2740*u^24 - 2224*u^25 - 1778*u^26 + 1999*u^27 + 924*u^28 - 1472*u^29 - 352*u^30 + 900*u^31 + 67*u^32 - 454*u^33 + 25*u^34 + 187*u^35 - 31*u^36 - 60*u^37 + 16*u^38 + 14*u^39 - 5*u^40 - 2*u^41 + u^42", "8 - 28*u + 59*u^3 + 20*u^4 - 88*u^5 - 78*u^6 + 125*u^7 + 106*u^8 - 309*u^9 + 149*u^10 + 508*u^11 - 534*u^12 - 404*u^13 + 512*u^14 - 62*u^15 + 110*u^16 + 358*u^17 - 694*u^18 - 65*u^19 + 666*u^20 - 502*u^21 - 328*u^22 + 827*u^23 + 214*u^24 - 879*u^25 - 265*u^26 + 887*u^27 + 146*u^28 - 866*u^29 + 128*u^30 + 704*u^31 - 296*u^32 - 432*u^33 + 262*u^34 + 191*u^35 - 140*u^36 - 58*u^37 + 48*u^38 + 11*u^39 - 10*u^40 - u^41 + u^42", "-49 - 168*u - 215*u^2 + 587*u^3 + 2041*u^4 + 1342*u^5 - 2996*u^6 - 4304*u^7 + 6079*u^8 + 11036*u^9 - 5645*u^10 - 16422*u^11 - 76*u^12 + 24840*u^13 + 11464*u^14 - 32982*u^15 - 17427*u^16 + 39936*u^17 + 18325*u^18 - 40201*u^19 - 13103*u^20 + 34260*u^21 + 8376*u^22 - 21738*u^23 - 1462*u^24 + 13598*u^25 + 1266*u^26 - 4765*u^27 + 696*u^28 + 2104*u^29 + 232*u^30 - 36*u^31 + 181*u^32 + 70*u^33 + 89*u^34 + 63*u^35 + 7*u^36 + 16*u^37 + 18*u^38 - u^40 + 2*u^41 + u^42" ], "uPolys":[ "1 + 2*u + 3*u^2 - 143*u^3 + 703*u^4 - 2456*u^5 + 7284*u^6 - 19346*u^7 + 47439*u^8 - 108890*u^9 + 237911*u^10 - 500930*u^11 + 1019388*u^12 - 1992872*u^13 + 3702928*u^14 - 6473620*u^15 + 10572923*u^16 - 16068754*u^17 + 22690453*u^18 - 29767861*u^19 + 36307451*u^20 - 41210712*u^21 + 43572168*u^22 - 42946962*u^23 + 39481604*u^24 - 33857836*u^25 + 27077968*u^26 - 20182055*u^27 + 14002224*u^28 - 9027448*u^29 + 5395784*u^30 - 2980812*u^31 + 1515977*u^32 - 706222*u^33 + 299419*u^34 - 114575*u^35 + 39139*u^36 - 11760*u^37 + 3044*u^38 - 658*u^39 + 113*u^40 - 14*u^41 + u^42", "-1 + 2*u - 3*u^2 + 11*u^3 - 19*u^4 - 12*u^5 + 92*u^6 - 78*u^7 - 159*u^8 + 322*u^9 + 99*u^10 - 730*u^11 + 296*u^12 + 1120*u^13 - 1112*u^14 - 1204*u^15 + 2185*u^16 + 790*u^17 - 3169*u^18 + 97*u^19 + 3657*u^20 - 1140*u^21 - 3472*u^22 + 1934*u^23 + 2740*u^24 - 2224*u^25 - 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51668*u^33 + 34155*u^34 - 7831*u^35 + 4805*u^36 - 840*u^37 + 480*u^38 - 58*u^39 + 31*u^40 - 2*u^41 + u^42", "1 - 12*u + 417*u^2 - 1961*u^3 - 407*u^4 + 16398*u^5 - 41616*u^6 - 11508*u^7 + 567285*u^8 - 2133240*u^9 + 5253637*u^10 - 9704832*u^11 + 15340354*u^12 - 23181902*u^13 + 26710750*u^14 - 35144572*u^15 + 31487165*u^16 - 38063322*u^17 + 27633885*u^18 - 29871927*u^19 + 20086767*u^20 - 17384278*u^21 + 12369754*u^22 - 8119390*u^23 + 6233860*u^24 - 3344916*u^25 + 2560574*u^26 - 1244373*u^27 + 888864*u^28 - 391282*u^29 + 270268*u^30 - 95686*u^31 + 71423*u^32 - 17086*u^33 + 15589*u^34 - 2105*u^35 + 2627*u^36 - 162*u^37 + 318*u^38 - 6*u^39 + 25*u^40 + u^42", "-21519 + 44766*u - 69939*u^2 + 29827*u^3 + 246449*u^4 - 430118*u^5 + 1393180*u^6 - 1025042*u^7 + 3180459*u^8 - 1212434*u^9 + 6421275*u^10 - 2149384*u^11 + 12688130*u^12 - 4634886*u^13 + 20445540*u^14 - 6651494*u^15 + 25168629*u^16 - 5990956*u^17 + 24148851*u^18 - 3352353*u^19 + 18702517*u^20 - 925540*u^21 + 11933432*u^22 + 209880*u^23 + 6243808*u^24 + 371706*u^25 + 2611698*u^26 + 215539*u^27 + 847936*u^28 + 82822*u^29 + 211016*u^30 + 23958*u^31 + 41343*u^32 + 5060*u^33 + 6851*u^34 + 673*u^35 + 1017*u^36 + 48*u^37 + 124*u^38 + 11*u^40 + u^42", "-3617 + 27870*u + 37853*u^2 - 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24927*u^33 - 6320*u^34 + 5321*u^35 + 439*u^36 - 707*u^37 - 9*u^38 + 73*u^39 - 5*u^40 - 5*u^41 + u^42", "8 - 28*u + 59*u^3 + 20*u^4 - 88*u^5 - 78*u^6 + 125*u^7 + 106*u^8 - 309*u^9 + 149*u^10 + 508*u^11 - 534*u^12 - 404*u^13 + 512*u^14 - 62*u^15 + 110*u^16 + 358*u^17 - 694*u^18 - 65*u^19 + 666*u^20 - 502*u^21 - 328*u^22 + 827*u^23 + 214*u^24 - 879*u^25 - 265*u^26 + 887*u^27 + 146*u^28 - 866*u^29 + 128*u^30 + 704*u^31 - 296*u^32 - 432*u^33 + 262*u^34 + 191*u^35 - 140*u^36 - 58*u^37 + 48*u^38 + 11*u^39 - 10*u^40 - u^41 + u^42", "-2621 + 395*u - 16000*u^2 - 120801*u^3 + 40607*u^4 - 255405*u^5 - 1688325*u^6 + 1197335*u^7 + 300609*u^8 - 6271417*u^9 + 6706933*u^10 + 11871306*u^11 - 5546048*u^12 + 27321616*u^13 + 35350586*u^14 + 30780674*u^15 + 75832167*u^16 + 55503805*u^17 + 65565878*u^18 + 96369829*u^19 + 74388511*u^20 + 88950165*u^21 + 71698019*u^22 + 48410347*u^23 + 41084966*u^24 + 21846354*u^25 + 15418959*u^26 + 9233519*u^27 + 4441860*u^28 + 3125792*u^29 + 1155754*u^30 + 747560*u^31 + 287297*u^32 + 120381*u^33 + 59488*u^34 + 12875*u^35 + 8663*u^36 + 903*u^37 + 805*u^38 + 41*u^39 + 43*u^40 + u^41 + u^42", "392 - 2828*u + 7472*u^2 - 16445*u^3 + 44506*u^4 - 61640*u^5 + 17302*u^6 + 117*u^7 + 111438*u^8 - 231001*u^9 + 289705*u^10 - 340080*u^11 + 424478*u^12 - 459784*u^13 + 722224*u^14 - 853438*u^15 + 1015326*u^16 - 1144220*u^17 + 1207298*u^18 - 1280285*u^19 + 1579510*u^20 - 1397058*u^21 + 1819456*u^22 - 1266455*u^23 + 1534026*u^24 - 838855*u^25 + 908801*u^26 - 392781*u^27 + 387458*u^28 - 134452*u^29 + 124376*u^30 - 36272*u^31 + 32118*u^32 - 8544*u^33 + 7024*u^34 - 1813*u^35 + 1304*u^36 - 320*u^37 + 192*u^38 - 41*u^39 + 20*u^40 - 3*u^41 + u^42", "-1 - 25*u - 117*u^2 + 1061*u^3 + 3495*u^4 + 913*u^5 + 3740*u^6 + 30907*u^7 + 17204*u^8 - 55478*u^9 + 31411*u^10 + 126378*u^11 - 243440*u^12 - 164152*u^13 + 1024356*u^14 + 448190*u^15 - 2234375*u^16 - 663545*u^17 + 4037697*u^18 + 1052965*u^19 - 6044093*u^20 - 2488571*u^21 + 6176614*u^22 + 3741495*u^23 - 4085813*u^24 - 3316517*u^25 + 1860766*u^26 + 2080559*u^27 - 483836*u^28 - 931624*u^29 - 328*u^30 + 290340*u^31 + 54017*u^32 - 59729*u^33 - 22515*u^34 + 6689*u^35 + 4769*u^36 - 27*u^37 - 544*u^38 - 95*u^39 + 24*u^40 + 10*u^41 + u^42", "-110597 + 440167*u - 1061424*u^2 - 656209*u^3 + 6250031*u^4 - 3623957*u^5 + 8752845*u^6 + 27645691*u^7 - 8242561*u^8 + 24793143*u^9 + 17207601*u^10 - 40631322*u^11 + 202012*u^12 - 7198846*u^13 - 21947522*u^14 + 4261784*u^15 + 17513541*u^16 + 5214415*u^17 - 210214*u^18 + 14614325*u^19 - 2764315*u^20 - 1010759*u^21 + 268573*u^22 + 1559017*u^23 + 518494*u^24 + 1666862*u^25 + 1609357*u^26 - 414183*u^27 - 725986*u^28 - 207998*u^29 + 184228*u^30 + 104040*u^31 + 7079*u^32 - 9311*u^33 - 4860*u^34 - 701*u^35 + 241*u^36 + 271*u^37 + 159*u^38 + 15*u^39 + 3*u^40 + 3*u^41 + u^42", "1 + 999*u - 27763*u^2 + 353037*u^3 - 2589343*u^4 + 12589945*u^5 - 45374252*u^6 + 130985675*u^7 - 316492726*u^8 + 658512654*u^9 - 1204553645*u^10 + 1966376714*u^11 - 2896160228*u^12 + 3880371804*u^13 - 4753960976*u^14 + 5344061728*u^15 - 5515505109*u^16 + 5221480989*u^17 - 4518333001*u^18 + 3554407011*u^19 - 2520791491*u^20 + 1592632541*u^21 - 881057448*u^22 + 415253651*u^23 - 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539117*u^2 - 1094469*u^3 - 87595*u^4 + 7851444*u^5 + 8914770*u^6 + 3019094*u^7 - 10991597*u^8 - 9707640*u^9 - 11897673*u^10 - 387972*u^11 + 19101700*u^12 + 46239070*u^13 + 37002510*u^14 + 21955674*u^15 + 3711171*u^16 - 15889170*u^17 - 26846819*u^18 - 16520797*u^19 - 6813565*u^20 + 55012*u^21 + 14687108*u^22 + 9354468*u^23 + 14515034*u^24 + 8234024*u^25 + 7672024*u^26 + 4437533*u^27 + 3240646*u^28 + 1814616*u^29 + 1154304*u^30 + 565320*u^31 + 317505*u^32 + 128366*u^33 + 62941*u^34 + 20371*u^35 + 8621*u^36 + 2142*u^37 + 774*u^38 + 136*u^39 + 41*u^40 + 4*u^41 + u^42" ], "Multiplicity":1, "ij_list":[ [ "{2, 8}", "{2, 9}", "{3, 9}" ], [ "{1, 3}", "{1, 4}", "{2, 3}", "{8, 9}" ], [ "{1, 2}", "{3, 4}" ], [ "{1, 9}", "{3, 8}" ], [ "{1, 8}", "{4, 9}", "{8, 10}" ], [ "{2, 4}", "{2, 10}" ], [ "{4, 8}", "{6, 7}", "{9, 10}" ], [ "{3, 10}" ], [ "{1, 10}" ], [ "{4, 10}" ], [ "{5, 10}" ], [ "{1, 7}", "{5, 9}" ], [ "{2, 5}" ], [ "{3, 5}" ], [ "{2, 6}" ], [ "{3, 6}" ], [ "{6, 9}", "{6, 10}", "{7, 10}" ], [ "{2, 7}" ], [ "{1, 5}", "{7, 9}" ], [ "{6, 8}" ], [ "{3, 7}" ], [ "{5, 6}" ], [ "{4, 7}", "{5, 7}", "{5, 8}" ], [ "{4, 5}", "{4, 6}", "{7, 8}" ], [ "{1, 6}" ] ], "SortedReprnIndices":"{34, 35, 32, 33, 13, 12, 17, 16, 31, 30, 38, 39, 26, 27, 22, 23, 25, 24, 21, 20, 4, 3, 8, 7, 1, 2, 15, 14, 5, 6, 29, 28, 19, 18, 42, 41, 9, 10, 36, 37, 40, 11}", "aCuspShapeN":[ "8.1896390894762798036`5.110661880254069 - 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1.3017775361373791621`4.7350469022306205*I" ], "Abelian":false }, { "IdealName":"J10_57_1", "Generators":[ "-1 + b", "a - u", "-1 + u^2 + u^3" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.9185e-2, "TimingZeroDimVars":6.5028e-2, "TimingmagmaVCompNormalize":6.645100000000001e-2, "TimingNumberOfSols":3.1303000000000004e-2, "TimingIsRadical":1.9110000000000008e-3, "TimingArcColoring":6.1765999999999995e-2, "TimingObstruction":1.917e-3, "TimingComplexVolumeN":2.4823, "TimingaCuspShapeN":1.5396000000000003e-2, "TiminguValues":0.616711, "TiminguPolysN":5.55e-4, "TiminguPolys":0.815015, "TimingaCuspShape":0.104038, "TimingRepresentationsN":3.1783e-2, "TiminguValues_ij":0.145281, "TiminguPoly_ij":0.698882, "TiminguPolys_ij_N":6.05e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":3, "IsRadical":true, "ArcColoring":[ [ "1 - u^2", "u^2" ], [ 1, "u^2" ], "{1, 0}", [ "u", "1 - u - u^2" ], [ "u", 1 ], [ 0, "u + u^2" ], [ 0, "u + u^2" ], [ "-u", "-1 + u + u^2" ], [ 0, "u" ], [ 0, "u" ] ], "Obstruction":1, "ComplexVolumeN":[ "-4.66906 - 2.82812*I", "-4.66906 + 2.82812*I", -0.53148 ], "uPolysN":[ "1 + 2*u + u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "-1 + 3*u - 3*u^2 + u^3", "1 + 3*u + 3*u^2 + u^3", "u^3", "1 + 3*u + 3*u^2 + u^3", "1 - u^2 + u^3", "u^3", "-1 + 2*u - u^2 + u^3" ], "uPolys":[ "1 + 2*u + u^2 + u^3", "-1 + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "(-1 + u)^3", "(1 + u)^3", "u^3", "(1 + u)^3", "1 - u^2 + u^3", "u^3", "-1 + 2*u - u^2 + u^3" ], "aCuspShape":"2 + u - 2*u^2", "RepresentationsN":[ [ "u->-0.877439 + 0.744862 I", "a->-0.877439 + 0.744862 I", "b->1." ], [ "u->-0.877439 - 0.744862 I", "a->-0.877439 - 0.744862 I", "b->1." ], [ "u->0.754878", "a->0.754878", "b->1." ] ], "Epsilon":2.10679, "uPolys_ij":[ "u^3", "(-1 + u)^3", "1 - u^2 + u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - 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3.3591443239838351976`5.141479621821453*I", 1.6152 ], "Abelian":false }, { "IdealName":"abJ10_57_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":7.5831e-2, "TimingZeroDimVars":6.2541e-2, "TimingmagmaVCompNormalize":6.365e-2, "TimingNumberOfSols":2.5533e-2, "TimingIsRadical":1.7250000000000004e-3, "TimingArcColoring":5.7846e-2, "TimingObstruction":5.120000000000001e-4, "TimingComplexVolumeN":0.483157, "TimingaCuspShapeN":5.162e-3, "TiminguValues":0.62764, "TiminguPolysN":7.3e-5, "TiminguPolys":0.789546, "TimingaCuspShape":9.100300000000001e-2, "TimingRepresentationsN":2.5099999999999997e-2, "TiminguValues_ij":0.145769, "TiminguPoly_ij":0.143031, "TiminguPolys_ij_N":2.9e-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 + 2*u + u^2 + u^3)*(1 + 2*u + 3*u^2 - 143*u^3 + 703*u^4 - 2456*u^5 + 7284*u^6 - 19346*u^7 + 47439*u^8 - 108890*u^9 + 237911*u^10 - 500930*u^11 + 1019388*u^12 - 1992872*u^13 + 3702928*u^14 - 6473620*u^15 + 10572923*u^16 - 16068754*u^17 + 22690453*u^18 - 29767861*u^19 + 36307451*u^20 - 41210712*u^21 + 43572168*u^22 - 42946962*u^23 + 39481604*u^24 - 33857836*u^25 + 27077968*u^26 - 20182055*u^27 + 14002224*u^28 - 9027448*u^29 + 5395784*u^30 - 2980812*u^31 + 1515977*u^32 - 706222*u^33 + 299419*u^34 - 114575*u^35 + 39139*u^36 - 11760*u^37 + 3044*u^38 - 658*u^39 + 113*u^40 - 14*u^41 + u^42)", "(-1 + u^2 + u^3)*(-1 + 2*u - 3*u^2 + 11*u^3 - 19*u^4 - 12*u^5 + 92*u^6 - 78*u^7 - 159*u^8 + 322*u^9 + 99*u^10 - 730*u^11 + 296*u^12 + 1120*u^13 - 1112*u^14 - 1204*u^15 + 2185*u^16 + 790*u^17 - 3169*u^18 + 97*u^19 + 3657*u^20 - 1140*u^21 - 3472*u^22 + 1934*u^23 + 2740*u^24 - 2224*u^25 - 1778*u^26 + 1999*u^27 + 924*u^28 - 1472*u^29 - 352*u^30 + 900*u^31 + 67*u^32 - 454*u^33 + 25*u^34 + 187*u^35 - 31*u^36 - 60*u^37 + 16*u^38 + 14*u^39 - 5*u^40 - 2*u^41 + u^42)", "(-1 + 2*u - u^2 + u^3)*(1 + 2*u + 3*u^2 - 143*u^3 + 703*u^4 - 2456*u^5 + 7284*u^6 - 19346*u^7 + 47439*u^8 - 108890*u^9 + 237911*u^10 - 500930*u^11 + 1019388*u^12 - 1992872*u^13 + 3702928*u^14 - 6473620*u^15 + 10572923*u^16 - 16068754*u^17 + 22690453*u^18 - 29767861*u^19 + 36307451*u^20 - 41210712*u^21 + 43572168*u^22 - 42946962*u^23 + 39481604*u^24 - 33857836*u^25 + 27077968*u^26 - 20182055*u^27 + 14002224*u^28 - 9027448*u^29 + 5395784*u^30 - 2980812*u^31 + 1515977*u^32 - 706222*u^33 + 299419*u^34 - 114575*u^35 + 39139*u^36 - 11760*u^37 + 3044*u^38 - 658*u^39 + 113*u^40 - 14*u^41 + u^42)", "(-1 + u)^3*(-1 + 7*u - 5*u^2 - 19*u^3 + 15*u^4 + 73*u^5 - 76*u^6 - 201*u^7 + 328*u^8 + 342*u^9 - 969*u^10 - 218*u^11 + 2136*u^12 - 792*u^13 - 3476*u^14 + 3452*u^15 + 3565*u^16 - 7435*u^17 - 551*u^18 + 10255*u^19 - 5449*u^20 - 8751*u^21 + 10984*u^22 + 2731*u^23 - 11941*u^24 + 3925*u^25 + 7860*u^26 - 6933*u^27 - 2300*u^28 + 5660*u^29 - 1096*u^30 - 2728*u^31 + 1671*u^32 + 639*u^33 - 945*u^34 + 85*u^35 + 291*u^36 - 115*u^37 - 40*u^38 + 35*u^39 - 2*u^40 - 4*u^41 + u^42)", "(1 + u)^3*(1 + 39*u + 261*u^2 + 1381*u^3 + 5917*u^4 + 21377*u^5 + 66428*u^6 + 180863*u^7 + 437470*u^8 + 952866*u^9 + 1892523*u^10 + 3466090*u^11 + 5908596*u^12 + 9446108*u^13 + 14245224*u^14 + 20350424*u^15 + 27620319*u^16 + 35685165*u^17 + 43948451*u^18 + 51643635*u^19 + 57938809*u^20 + 62070421*u^21 + 63480456*u^22 + 61928063*u^23 + 57547851*u^24 + 50837437*u^25 + 42573922*u^26 + 33676647*u^27 + 25046376*u^28 + 17416376*u^29 + 11248352*u^30 + 6696148*u^31 + 3642705*u^32 + 1793435*u^33 + 790413*u^34 + 307901*u^35 + 104401*u^36 + 30221*u^37 + 7276*u^38 + 1403*u^39 + 204*u^40 + 20*u^41 + u^42)", "u^3*(8 - 28*u + 59*u^3 + 20*u^4 - 88*u^5 - 78*u^6 + 125*u^7 + 106*u^8 - 309*u^9 + 149*u^10 + 508*u^11 - 534*u^12 - 404*u^13 + 512*u^14 - 62*u^15 + 110*u^16 + 358*u^17 - 694*u^18 - 65*u^19 + 666*u^20 - 502*u^21 - 328*u^22 + 827*u^23 + 214*u^24 - 879*u^25 - 265*u^26 + 887*u^27 + 146*u^28 - 866*u^29 + 128*u^30 + 704*u^31 - 296*u^32 - 432*u^33 + 262*u^34 + 191*u^35 - 140*u^36 - 58*u^37 + 48*u^38 + 11*u^39 - 10*u^40 - u^41 + u^42)", "(1 + u)^3*(-1 + 7*u - 5*u^2 - 19*u^3 + 15*u^4 + 73*u^5 - 76*u^6 - 201*u^7 + 328*u^8 + 342*u^9 - 969*u^10 - 218*u^11 + 2136*u^12 - 792*u^13 - 3476*u^14 + 3452*u^15 + 3565*u^16 - 7435*u^17 - 551*u^18 + 10255*u^19 - 5449*u^20 - 8751*u^21 + 10984*u^22 + 2731*u^23 - 11941*u^24 + 3925*u^25 + 7860*u^26 - 6933*u^27 - 2300*u^28 + 5660*u^29 - 1096*u^30 - 2728*u^31 + 1671*u^32 + 639*u^33 - 945*u^34 + 85*u^35 + 291*u^36 - 115*u^37 - 40*u^38 + 35*u^39 - 2*u^40 - 4*u^41 + u^42)", "(1 - u^2 + u^3)*(-1 + 2*u - 3*u^2 + 11*u^3 - 19*u^4 - 12*u^5 + 92*u^6 - 78*u^7 - 159*u^8 + 322*u^9 + 99*u^10 - 730*u^11 + 296*u^12 + 1120*u^13 - 1112*u^14 - 1204*u^15 + 2185*u^16 + 790*u^17 - 3169*u^18 + 97*u^19 + 3657*u^20 - 1140*u^21 - 3472*u^22 + 1934*u^23 + 2740*u^24 - 2224*u^25 - 1778*u^26 + 1999*u^27 + 924*u^28 - 1472*u^29 - 352*u^30 + 900*u^31 + 67*u^32 - 454*u^33 + 25*u^34 + 187*u^35 - 31*u^36 - 60*u^37 + 16*u^38 + 14*u^39 - 5*u^40 - 2*u^41 + u^42)", "u^3*(8 - 28*u + 59*u^3 + 20*u^4 - 88*u^5 - 78*u^6 + 125*u^7 + 106*u^8 - 309*u^9 + 149*u^10 + 508*u^11 - 534*u^12 - 404*u^13 + 512*u^14 - 62*u^15 + 110*u^16 + 358*u^17 - 694*u^18 - 65*u^19 + 666*u^20 - 502*u^21 - 328*u^22 + 827*u^23 + 214*u^24 - 879*u^25 - 265*u^26 + 887*u^27 + 146*u^28 - 866*u^29 + 128*u^30 + 704*u^31 - 296*u^32 - 432*u^33 + 262*u^34 + 191*u^35 - 140*u^36 - 58*u^37 + 48*u^38 + 11*u^39 - 10*u^40 - u^41 + u^42)", "(-1 + 2*u - u^2 + u^3)*(-49 - 168*u - 215*u^2 + 587*u^3 + 2041*u^4 + 1342*u^5 - 2996*u^6 - 4304*u^7 + 6079*u^8 + 11036*u^9 - 5645*u^10 - 16422*u^11 - 76*u^12 + 24840*u^13 + 11464*u^14 - 32982*u^15 - 17427*u^16 + 39936*u^17 + 18325*u^18 - 40201*u^19 - 13103*u^20 + 34260*u^21 + 8376*u^22 - 21738*u^23 - 1462*u^24 + 13598*u^25 + 1266*u^26 - 4765*u^27 + 696*u^28 + 2104*u^29 + 232*u^30 - 36*u^31 + 181*u^32 + 70*u^33 + 89*u^34 + 63*u^35 + 7*u^36 + 16*u^37 + 18*u^38 - u^40 + 2*u^41 + u^42)" ], "RileyPolyC":[ "(-1 + 2*y + 3*y^2 + y^3)*(1 + 2*y + 1987*y^2 + 8161*y^3 + 7759*y^4 - 127572*y^5 - 944240*y^6 - 5313486*y^7 - 24837841*y^8 - 77083774*y^9 - 138071417*y^10 - 86571202*y^11 + 197337076*y^12 + 569880856*y^13 + 591766456*y^14 + 11452564*y^15 - 758698269*y^16 - 954492974*y^17 - 330421207*y^18 + 521318979*y^19 + 836274483*y^20 + 473764948*y^21 - 78268372*y^22 - 327676430*y^23 - 215573908*y^24 + 3702356*y^25 + 112758100*y^26 + 90049545*y^27 + 24989480*y^28 - 13150464*y^29 - 16147648*y^30 - 5443380*y^31 + 2415377*y^32 + 4174534*y^33 + 2888071*y^34 + 1350889*y^35 + 471675*y^36 + 126364*y^37 + 25928*y^38 + 3978*y^39 + 433*y^40 + 30*y^41 + y^42)", "(-1 + 2*y - y^2 + y^3)*(1 + 2*y + 3*y^2 - 143*y^3 + 703*y^4 - 2456*y^5 + 7284*y^6 - 19346*y^7 + 47439*y^8 - 108890*y^9 + 237911*y^10 - 500930*y^11 + 1019388*y^12 - 1992872*y^13 + 3702928*y^14 - 6473620*y^15 + 10572923*y^16 - 16068754*y^17 + 22690453*y^18 - 29767861*y^19 + 36307451*y^20 - 41210712*y^21 + 43572168*y^22 - 42946962*y^23 + 39481604*y^24 - 33857836*y^25 + 27077968*y^26 - 20182055*y^27 + 14002224*y^28 - 9027448*y^29 + 5395784*y^30 - 2980812*y^31 + 1515977*y^32 - 706222*y^33 + 299419*y^34 - 114575*y^35 + 39139*y^36 - 11760*y^37 + 3044*y^38 - 658*y^39 + 113*y^40 - 14*y^41 + y^42)", "(-1 + 2*y + 3*y^2 + y^3)*(1 + 2*y + 1987*y^2 + 8161*y^3 + 7759*y^4 - 127572*y^5 - 944240*y^6 - 5313486*y^7 - 24837841*y^8 - 77083774*y^9 - 138071417*y^10 - 86571202*y^11 + 197337076*y^12 + 569880856*y^13 + 591766456*y^14 + 11452564*y^15 - 758698269*y^16 - 954492974*y^17 - 330421207*y^18 + 521318979*y^19 + 836274483*y^20 + 473764948*y^21 - 78268372*y^22 - 327676430*y^23 - 215573908*y^24 + 3702356*y^25 + 112758100*y^26 + 90049545*y^27 + 24989480*y^28 - 13150464*y^29 - 16147648*y^30 - 5443380*y^31 + 2415377*y^32 + 4174534*y^33 + 2888071*y^34 + 1350889*y^35 + 471675*y^36 + 126364*y^37 + 25928*y^38 + 3978*y^39 + 433*y^40 + 30*y^41 + y^42)", "(-1 + y)^3*(1 - 39*y + 261*y^2 - 1381*y^3 + 5917*y^4 - 21377*y^5 + 66428*y^6 - 180863*y^7 + 437470*y^8 - 952866*y^9 + 1892523*y^10 - 3466090*y^11 + 5908596*y^12 - 9446108*y^13 + 14245224*y^14 - 20350424*y^15 + 27620319*y^16 - 35685165*y^17 + 43948451*y^18 - 51643635*y^19 + 57938809*y^20 - 62070421*y^21 + 63480456*y^22 - 61928063*y^23 + 57547851*y^24 - 50837437*y^25 + 42573922*y^26 - 33676647*y^27 + 25046376*y^28 - 17416376*y^29 + 11248352*y^30 - 6696148*y^31 + 3642705*y^32 - 1793435*y^33 + 790413*y^34 - 307901*y^35 + 104401*y^36 - 30221*y^37 + 7276*y^38 - 1403*y^39 + 204*y^40 - 20*y^41 + y^42)", "(-1 + y)^3*(1 - 999*y - 27763*y^2 - 353037*y^3 - 2589343*y^4 - 12589945*y^5 - 45374252*y^6 - 130985675*y^7 - 316492726*y^8 - 658512654*y^9 - 1204553645*y^10 - 1966376714*y^11 - 2896160228*y^12 - 3880371804*y^13 - 4753960976*y^14 - 5344061728*y^15 - 5515505109*y^16 - 5221480989*y^17 - 4518333001*y^18 - 3554407011*y^19 - 2520791491*y^20 - 1592632541*y^21 - 881057448*y^22 - 415253651*y^23 - 158576933*y^24 - 43787497*y^25 - 4991330*y^26 + 2564601*y^27 + 1983432*y^28 + 837480*y^29 + 446592*y^30 + 298068*y^31 + 195365*y^32 + 90989*y^33 + 33313*y^34 + 8355*y^35 + 2349*y^36 + 819*y^37 + 444*y^38 + 161*y^39 + 48*y^40 + 8*y^41 + y^42)", "y^3*(64 - 784*y + 3624*y^2 - 9657*y^3 + 19480*y^4 - 40534*y^5 + 88690*y^6 - 154961*y^7 + 179250*y^8 - 141953*y^9 + 202325*y^10 - 550426*y^11 + 976136*y^12 - 880312*y^13 + 111560*y^14 + 467436*y^15 + 110688*y^16 - 1532988*y^17 + 2477480*y^18 - 2333019*y^19 + 1861684*y^20 - 1934738*y^21 + 2396178*y^22 - 2606381*y^23 + 2495666*y^24 - 2510949*y^25 + 2828469*y^26 - 3126291*y^27 + 3065304*y^28 - 2654040*y^29 + 2113296*y^30 - 1600472*y^31 + 1146384*y^32 - 748480*y^33 + 427876*y^34 - 207857*y^35 + 83996*y^36 - 27702*y^37 + 7286*y^38 - 1477*y^39 + 218*y^40 - 21*y^41 + y^42)", "(-1 + y)^3*(1 - 39*y + 261*y^2 - 1381*y^3 + 5917*y^4 - 21377*y^5 + 66428*y^6 - 180863*y^7 + 437470*y^8 - 952866*y^9 + 1892523*y^10 - 3466090*y^11 + 5908596*y^12 - 9446108*y^13 + 14245224*y^14 - 20350424*y^15 + 27620319*y^16 - 35685165*y^17 + 43948451*y^18 - 51643635*y^19 + 57938809*y^20 - 62070421*y^21 + 63480456*y^22 - 61928063*y^23 + 57547851*y^24 - 50837437*y^25 + 42573922*y^26 - 33676647*y^27 + 25046376*y^28 - 17416376*y^29 + 11248352*y^30 - 6696148*y^31 + 3642705*y^32 - 1793435*y^33 + 790413*y^34 - 307901*y^35 + 104401*y^36 - 30221*y^37 + 7276*y^38 - 1403*y^39 + 204*y^40 - 20*y^41 + y^42)", "(-1 + 2*y - y^2 + y^3)*(1 + 2*y + 3*y^2 - 143*y^3 + 703*y^4 - 2456*y^5 + 7284*y^6 - 19346*y^7 + 47439*y^8 - 108890*y^9 + 237911*y^10 - 500930*y^11 + 1019388*y^12 - 1992872*y^13 + 3702928*y^14 - 6473620*y^15 + 10572923*y^16 - 16068754*y^17 + 22690453*y^18 - 29767861*y^19 + 36307451*y^20 - 41210712*y^21 + 43572168*y^22 - 42946962*y^23 + 39481604*y^24 - 33857836*y^25 + 27077968*y^26 - 20182055*y^27 + 14002224*y^28 - 9027448*y^29 + 5395784*y^30 - 2980812*y^31 + 1515977*y^32 - 706222*y^33 + 299419*y^34 - 114575*y^35 + 39139*y^36 - 11760*y^37 + 3044*y^38 - 658*y^39 + 113*y^40 - 14*y^41 + y^42)", "y^3*(64 - 784*y + 3624*y^2 - 9657*y^3 + 19480*y^4 - 40534*y^5 + 88690*y^6 - 154961*y^7 + 179250*y^8 - 141953*y^9 + 202325*y^10 - 550426*y^11 + 976136*y^12 - 880312*y^13 + 111560*y^14 + 467436*y^15 + 110688*y^16 - 1532988*y^17 + 2477480*y^18 - 2333019*y^19 + 1861684*y^20 - 1934738*y^21 + 2396178*y^22 - 2606381*y^23 + 2495666*y^24 - 2510949*y^25 + 2828469*y^26 - 3126291*y^27 + 3065304*y^28 - 2654040*y^29 + 2113296*y^30 - 1600472*y^31 + 1146384*y^32 - 748480*y^33 + 427876*y^34 - 207857*y^35 + 83996*y^36 - 27702*y^37 + 7286*y^38 - 1477*y^39 + 218*y^40 - 21*y^41 + y^42)", "(-1 + 2*y + 3*y^2 + y^3)*(2401 - 7154*y + 43439*y^2 - 477679*y^3 + 1836567*y^4 - 7330404*y^5 + 29303172*y^6 - 81078422*y^7 + 166077599*y^8 - 293367778*y^9 + 488937451*y^10 - 826064482*y^11 + 1439918528*y^12 - 2458656256*y^13 + 3884317208*y^14 - 5504675128*y^15 + 6972564463*y^16 - 7921246298*y^17 + 8098980697*y^18 - 7477155129*y^19 + 6252462355*y^20 - 4730914164*y^21 + 3239875672*y^22 - 1995543094*y^23 + 1100874492*y^24 - 535812960*y^25 + 227376748*y^26 - 81209351*y^27 + 23742660*y^28 - 5095640*y^29 + 836708*y^30 - 137636*y^31 + 128421*y^32 - 67018*y^33 + 31339*y^34 - 5935*y^35 + 1483*y^36 - 100*y^37 + 236*y^38 - 86*y^39 + 37*y^40 - 6*y^41 + y^42)" ] }, "GeometricRepresentation":[ 1.35886e1, [ "J10_57_0", 1, "{34, 35}" ] ] } }