{ "Index":133, "Name":"10_49", "RolfsenName":"10_49", "DTname":"10a_13", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{6, 16, 8, 2, 14, 18, 20, 4, 10, 12}", "Acode":"{4, 9, 5, 2, 8, 10, 1, 3, 6, 7}", "PDcode":[ "{1, 7, 2, 6}", "{3, 17, 4, 16}", "{5, 9, 6, 8}", "{7, 3, 8, 2}", "{9, 15, 10, 14}", "{11, 19, 12, 18}", "{13, 1, 14, 20}", "{15, 5, 16, 4}", "{17, 11, 18, 10}", "{19, 13, 20, 12}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{9, 6, 3}", [], [ "{9, 6, 10, 1}", "{6, 10, 7, 1}", "{10, 7, 1, 1}", "{3, 9, 2, 2}", "{9, 3, 8, 2}", "{6, 8, 5, 2}", "{5, 2, 4, 2}" ], "{3, 7}", "{1}", 1 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "a - u - a^2*u + a*b*u - 2*a^2*b^2*u + b^4*u - a^2*b^4*u - a*b^5*u + a*u^2 - b*u^2 - 2*a^2*b*u^2 + 3*a*b^2*u^2 + a^3*b^2*u^2 - 3*a^2*b^3*u^2 + a^3*b^4*u^2", "b - u - a*b*u + b^2*u - 2*a*b^3*u + b^4*u - a*b^5*u + a*u^2 - b*u^2 + b^3*u^2 + a^2*b^3*u^2 - 2*a*b^4*u^2 + a^2*b^5*u^2", "-1 + a*b - 2*u + u^3", "b^2 + u - 3*u^3 + u^5" ], "TimingForPrimaryIdeals":0.118818 }, "v":{ "CheckEq":[ "b^2", "-1 + a*b + v", "a - v + a*b*v + 2*a*b^3*v + b^4*v + a*b^5*v + b^6*v - b*v^2 - 2*b^3*v^2 + a*b^4*v^2 - b^5*v^2 + a*b^6*v^2", "b + b^2*v + 2*b^4*v + b^6*v + b^5*v^2 + b^7*v^2" ], "TimingForPrimaryIdeals":7.496000000000001e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_49_0", "Generators":[ "-1 + b - 3*u + 4*u^2 + 8*u^3 - 24*u^4 - 37*u^5 + 110*u^6 + 20*u^7 - 374*u^8 + 198*u^9 + 754*u^10 - 976*u^11 - 928*u^12 + 2358*u^13 + 214*u^14 - 3598*u^15 + 1355*u^16 + 3563*u^17 - 2540*u^18 - 2280*u^19 + 2404*u^20 + 931*u^21 - 1412*u^22 - 234*u^23 + 533*u^24 + 33*u^25 - 126*u^26 - 2*u^27 + 17*u^28 - u^30", "1 + a + u - u^2 + 5*u^3 + 16*u^4 - 4*u^5 - 2*u^6 + 62*u^7 + 6*u^8 - 74*u^9 + 108*u^10 + 106*u^11 - 172*u^12 + 70*u^13 + 132*u^14 - 438*u^15 + 133*u^16 + 777*u^17 - 501*u^18 - 901*u^19 + 548*u^20 + 688*u^21 - 304*u^22 - 330*u^23 + 93*u^24 + 95*u^25 - 15*u^26 - 15*u^27 + u^28 + u^29", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.4391e-2, "TimingZeroDimVars":9.1541e-2, "TimingmagmaVCompNormalize":9.2841e-2, "TimingNumberOfSols":0.328803, "TimingIsRadical":2.7503000000000003e-2, "TimingArcColoring":6.7133e-2, "TimingObstruction":8.586e-2, "TimingComplexVolumeN":2.7001396e1, "TimingaCuspShapeN":0.170245, "TiminguValues":0.674325, "TiminguPolysN":0.113305, "TiminguPolys":0.95333, "TimingaCuspShape":0.130876, "TimingRepresentationsN":0.310721, "TiminguValues_ij":0.19352, "TiminguPoly_ij":2.367028, "TiminguPolys_ij_N":0.211393 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":31, "IsRadical":true, "ArcColoring":[ [ "1 - u^2", "2*u^2 - u^4" ], [ "2*u - 3*u^2 - 13*u^3 + 8*u^4 + 41*u^5 - 108*u^6 - 82*u^7 + 368*u^8 - 124*u^9 - 862*u^10 + 870*u^11 + 1100*u^12 - 2428*u^13 - 346*u^14 + 4036*u^15 - 1488*u^16 - 4340*u^17 + 3041*u^18 + 3181*u^19 - 2952*u^20 - 1619*u^21 + 1716*u^22 + 564*u^23 - 626*u^24 - 128*u^25 + 141*u^26 + 17*u^27 - 18*u^28 - u^29 + u^30", "1 + 3*u - 4*u^2 - 8*u^3 + 24*u^4 + 37*u^5 - 110*u^6 - 20*u^7 + 374*u^8 - 198*u^9 - 754*u^10 + 976*u^11 + 928*u^12 - 2358*u^13 - 214*u^14 + 3598*u^15 - 1355*u^16 - 3563*u^17 + 2540*u^18 + 2280*u^19 - 2404*u^20 - 931*u^21 + 1412*u^22 + 234*u^23 - 533*u^24 - 33*u^25 + 126*u^26 + 2*u^27 - 17*u^28 + u^30" ], [ "-1 - u + u^2 - 5*u^3 - 16*u^4 + 4*u^5 + 2*u^6 - 62*u^7 - 6*u^8 + 74*u^9 - 108*u^10 - 106*u^11 + 172*u^12 - 70*u^13 - 132*u^14 + 438*u^15 - 133*u^16 - 777*u^17 + 501*u^18 + 901*u^19 - 548*u^20 - 688*u^21 + 304*u^22 + 330*u^23 - 93*u^24 - 95*u^25 + 15*u^26 + 15*u^27 - u^28 - u^29", "1 + 3*u - 4*u^2 - 8*u^3 + 24*u^4 + 37*u^5 - 110*u^6 - 20*u^7 + 374*u^8 - 198*u^9 - 754*u^10 + 976*u^11 + 928*u^12 - 2358*u^13 - 214*u^14 + 3598*u^15 - 1355*u^16 - 3563*u^17 + 2540*u^18 + 2280*u^19 - 2404*u^20 - 931*u^21 + 1412*u^22 + 234*u^23 - 533*u^24 - 33*u^25 + 126*u^26 + 2*u^27 - 17*u^28 + u^30" ], [ "u - u^2 - 8*u^3 - 2*u^4 + 26*u^5 - 58*u^6 - 84*u^7 + 197*u^8 + 20*u^9 - 530*u^10 + 268*u^11 + 829*u^12 - 1022*u^13 - 797*u^14 + 1928*u^15 + 269*u^16 - 2297*u^17 + 361*u^18 + 1906*u^19 - 522*u^20 - 1112*u^21 + 302*u^22 + 440*u^23 - 93*u^24 - 111*u^25 + 15*u^26 + 16*u^27 - u^28 - u^29", "2*u + u^2 - 4*u^3 + 4*u^4 + 14*u^5 - 14*u^6 - 10*u^7 + 28*u^8 + 2*u^9 - 23*u^10 + 8*u^12 - u^14" ], [ "4*u^3 - 4*u^5 + u^7", "u - 2*u^3 + 7*u^5 - 5*u^7 + u^9" ], [ 0, "u" ], [ "-u", "u - u^3" ], [ "-2*u + u^3", "u - 3*u^3 + u^5" ], "{1, 0}", [ 1, "u^2" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-1.73768 - 1.98261*I", "-1.73768 + 1.98261*I", "0.71112 - 8.80296*I", "0.71112 + 8.80296*I", "2.7736 - 3.43811*I", "2.7736 + 3.43811*I", "-1.75392 + 3.16934*I", "-1.75392 - 3.16934*I", "2.12474 + 4.80226*I", "2.12474 - 4.80226*I", "3.57659 - 0.38668*I", "3.57659 + 0.38668*I", "-2.56499 - 0.98527*I", "-2.56499 + 0.98527*I", "-1.80597 + 2.68803*I", "-1.80597 - 2.68803*I", "-7.37189 - 0.63906*I", "-7.37189 + 0.63906*I", "-0.846644 - 0.285966*I", "-0.846644 + 0.285966*I", -0.703249, "-4.51872 + 5.93011*I", "-4.51872 - 5.93011*I", "-9.92171 + 2.45212*I", "-9.92171 - 2.45212*I", "-9.15652 - 5.11817*I", "-9.15652 + 5.11817*I", "-7.05058 + 11.4532*I", "-7.05058 - 11.4532*I", "-10.6314 + 1.14909*I", "-10.6314 - 1.14909*I" ], "uPolysN":[ "1 + 3*u - 10*u^2 - u^3 + 31*u^4 - 16*u^5 - 60*u^6 + 60*u^7 + 94*u^8 - 150*u^9 - 112*u^10 + 330*u^11 - 510*u^13 + 318*u^14 + 458*u^15 - 651*u^16 - 101*u^17 + 690*u^18 - 289*u^19 - 403*u^20 + 410*u^21 + 74*u^22 - 274*u^23 + 73*u^24 + 99*u^25 - 64*u^26 - 13*u^27 + 22*u^28 - 3*u^29 - 3*u^30 + u^31", "4 + 12*u + 19*u^2 + 39*u^3 + 43*u^4 + 56*u^5 + 44*u^6 + 16*u^7 + 20*u^8 - 22*u^9 + 20*u^10 + 34*u^11 + 56*u^12 + 136*u^13 + 52*u^14 + 152*u^15 - 4*u^16 + 96*u^17 - 33*u^18 + 75*u^19 - u^20 + 100*u^21 + 38*u^22 + 106*u^23 + 42*u^24 + 72*u^25 + 23*u^26 + 31*u^27 + 7*u^28 + 8*u^29 + u^30 + u^31", "1 + 29*u + 168*u^2 + 645*u^3 + 1957*u^4 + 5060*u^5 + 11308*u^6 + 22268*u^7 + 39406*u^8 + 63838*u^9 + 95804*u^10 + 134238*u^11 + 176596*u^12 + 219118*u^13 + 257198*u^14 + 286030*u^15 + 301521*u^16 + 301169*u^17 + 284436*u^18 + 252729*u^19 + 209419*u^20 + 159870*u^21 + 110810*u^22 + 68638*u^23 + 37365*u^24 + 17557*u^25 + 6974*u^26 + 2281*u^27 + 592*u^28 + 115*u^29 + 15*u^30 + u^31", "1 + 3*u - 10*u^2 - u^3 + 31*u^4 - 16*u^5 - 60*u^6 + 60*u^7 + 94*u^8 - 150*u^9 - 112*u^10 + 330*u^11 - 510*u^13 + 318*u^14 + 458*u^15 - 651*u^16 - 101*u^17 + 690*u^18 - 289*u^19 - 403*u^20 + 410*u^21 + 74*u^22 - 274*u^23 + 73*u^24 + 99*u^25 - 64*u^26 - 13*u^27 + 22*u^28 - 3*u^29 - 3*u^30 + u^31", "7 + 14*u + 57*u^2 + 122*u^3 + 35*u^4 + 384*u^5 - 688*u^6 + 1072*u^7 - 666*u^8 + 1488*u^9 - 2334*u^10 + 2772*u^11 - 1312*u^12 + 384*u^13 + 44*u^14 - 264*u^15 + 1609*u^16 - 2348*u^17 + 1977*u^18 - 1006*u^19 + 449*u^20 - 32*u^21 - 384*u^22 + 636*u^23 - 579*u^24 + 396*u^25 - 249*u^26 + 154*u^27 - 82*u^28 + 32*u^29 - 8*u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31", "4 + 12*u + 19*u^2 + 39*u^3 + 43*u^4 + 56*u^5 + 44*u^6 + 16*u^7 + 20*u^8 - 22*u^9 + 20*u^10 + 34*u^11 + 56*u^12 + 136*u^13 + 52*u^14 + 152*u^15 - 4*u^16 + 96*u^17 - 33*u^18 + 75*u^19 - u^20 + 100*u^21 + 38*u^22 + 106*u^23 + 42*u^24 + 72*u^25 + 23*u^26 + 31*u^27 + 7*u^28 + 8*u^29 + u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31" ], "uPolys":[ "1 + 3*u - 10*u^2 - u^3 + 31*u^4 - 16*u^5 - 60*u^6 + 60*u^7 + 94*u^8 - 150*u^9 - 112*u^10 + 330*u^11 - 510*u^13 + 318*u^14 + 458*u^15 - 651*u^16 - 101*u^17 + 690*u^18 - 289*u^19 - 403*u^20 + 410*u^21 + 74*u^22 - 274*u^23 + 73*u^24 + 99*u^25 - 64*u^26 - 13*u^27 + 22*u^28 - 3*u^29 - 3*u^30 + u^31", "4 + 12*u + 19*u^2 + 39*u^3 + 43*u^4 + 56*u^5 + 44*u^6 + 16*u^7 + 20*u^8 - 22*u^9 + 20*u^10 + 34*u^11 + 56*u^12 + 136*u^13 + 52*u^14 + 152*u^15 - 4*u^16 + 96*u^17 - 33*u^18 + 75*u^19 - u^20 + 100*u^21 + 38*u^22 + 106*u^23 + 42*u^24 + 72*u^25 + 23*u^26 + 31*u^27 + 7*u^28 + 8*u^29 + u^30 + u^31", "1 + 29*u + 168*u^2 + 645*u^3 + 1957*u^4 + 5060*u^5 + 11308*u^6 + 22268*u^7 + 39406*u^8 + 63838*u^9 + 95804*u^10 + 134238*u^11 + 176596*u^12 + 219118*u^13 + 257198*u^14 + 286030*u^15 + 301521*u^16 + 301169*u^17 + 284436*u^18 + 252729*u^19 + 209419*u^20 + 159870*u^21 + 110810*u^22 + 68638*u^23 + 37365*u^24 + 17557*u^25 + 6974*u^26 + 2281*u^27 + 592*u^28 + 115*u^29 + 15*u^30 + u^31", "1 + 3*u - 10*u^2 - u^3 + 31*u^4 - 16*u^5 - 60*u^6 + 60*u^7 + 94*u^8 - 150*u^9 - 112*u^10 + 330*u^11 - 510*u^13 + 318*u^14 + 458*u^15 - 651*u^16 - 101*u^17 + 690*u^18 - 289*u^19 - 403*u^20 + 410*u^21 + 74*u^22 - 274*u^23 + 73*u^24 + 99*u^25 - 64*u^26 - 13*u^27 + 22*u^28 - 3*u^29 - 3*u^30 + u^31", "7 + 14*u + 57*u^2 + 122*u^3 + 35*u^4 + 384*u^5 - 688*u^6 + 1072*u^7 - 666*u^8 + 1488*u^9 - 2334*u^10 + 2772*u^11 - 1312*u^12 + 384*u^13 + 44*u^14 - 264*u^15 + 1609*u^16 - 2348*u^17 + 1977*u^18 - 1006*u^19 + 449*u^20 - 32*u^21 - 384*u^22 + 636*u^23 - 579*u^24 + 396*u^25 - 249*u^26 + 154*u^27 - 82*u^28 + 32*u^29 - 8*u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31", "4 + 12*u + 19*u^2 + 39*u^3 + 43*u^4 + 56*u^5 + 44*u^6 + 16*u^7 + 20*u^8 - 22*u^9 + 20*u^10 + 34*u^11 + 56*u^12 + 136*u^13 + 52*u^14 + 152*u^15 - 4*u^16 + 96*u^17 - 33*u^18 + 75*u^19 - u^20 + 100*u^21 + 38*u^22 + 106*u^23 + 42*u^24 + 72*u^25 + 23*u^26 + 31*u^27 + 7*u^28 + 8*u^29 + u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31", "1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31" ], "aCuspShape":"-11 + 9*u + 13*u^2 - 6*u^3 - 32*u^4 + 142*u^5 + 86*u^6 - 384*u^7 + 292*u^8 + 852*u^9 - 1210*u^10 - 406*u^11 + 2636*u^12 - 1402*u^13 - 2258*u^14 + 3662*u^15 - 861*u^16 - 3741*u^17 + 4267*u^18 + 1434*u^19 - 5240*u^20 + 378*u^21 + 3678*u^22 - 582*u^23 - 1601*u^24 + 231*u^25 + 425*u^26 - 42*u^27 - 63*u^28 + 3*u^29 + 4*u^30", "RepresentationsN":[ [ "u->-0.942627 + 0.191065 I", "a->-0.160124 + 0.103064 I", "b->0.324783 + 0.95975 I" ], [ "u->-0.942627 - 0.191065 I", "a->-0.160124 - 0.103064 I", "b->0.324783 - 0.95975 I" ], [ "u->0.696545 + 0.545292 I", "a->1.23592 - 1.62736 I", "b->0.613275 + 1.17892 I" ], [ "u->0.696545 - 0.545292 I", "a->1.23592 + 1.62736 I", "b->0.613275 - 1.17892 I" ], [ "u->0.605327 + 0.533968 I", "a->-1.15171 + 1.76364 I", "b->-0.398966 - 1.16074 I" ], [ "u->0.605327 - 0.533968 I", "a->-1.15171 - 1.76364 I", "b->-0.398966 + 1.16074 I" ], [ "u->-0.605796 + 0.419305 I", "a->-0.106041 + 0.538372 I", "b->0.914628 + 0.393426 I" ], [ "u->-0.605796 - 0.419305 I", "a->-0.106041 - 0.538372 I", "b->0.914628 - 0.393426 I" ], [ "u->0.216063 + 0.636597 I", "a->0.537 - 1.6761 I", "b->-0.488198 + 1.16155 I" ], [ "u->0.216063 - 0.636597 I", "a->0.537 + 1.6761 I", "b->-0.488198 - 1.16155 I" ], [ "u->0.331449 + 0.58253 I", "a->-0.68223 + 1.81325 I", "b->0.208622 - 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u" ], "{1, 0}", "{1, 0}", [ 1, "1 + u" ] ], "Obstruction":1, "ComplexVolumeN":[ -2.63189, -1.05276e1 ], "uPolysN":[ "1 - 2*u + u^2", "u^2", "1 - 2*u + u^2", "1 + 2*u + u^2", "-1 + u + u^2", "-1 + u + u^2", "-1 + u + u^2", "u^2", "-1 - u + u^2", "-1 - u + u^2" ], "uPolys":[ "(-1 + u)^2", "u^2", "(-1 + u)^2", "(1 + u)^2", "-1 + u + u^2", "-1 + u + u^2", "-1 + u + u^2", "u^2", "-1 - u + u^2", "-1 - u + u^2" ], "aCuspShape":-15, "RepresentationsN":[ [ "u->-0.618034", "a->-1.61803", "b->0" ], [ "u->1.61803", "a->0.618034", "b->0" ] ], "Epsilon":3.16228, "uPolys_ij":[ "u^2", "(-1 + u)^2", "1 + 3*u + u^2", "-4 + 2*u + u^2", "-1 + u + u^2", "-1 - u + u^2", "1 - 3*u + u^2", "5 - 5*u + u^2", "-1 - 4*u + u^2" ], "GeometricComponent":0, "uPolys_ij_N":[ "u^2", "1 - 2*u + u^2", "1 + 3*u + u^2", "-4 + 2*u + u^2", "-1 + u + u^2", "-1 - u + u^2", "1 - 3*u + u^2", "5 - 5*u + u^2", "-1 - 4*u + u^2" ], "Multiplicity":1, "ij_list":[ [ "{1, 5}", "{2, 3}", "{2, 8}", "{2, 9}", "{3, 8}", "{3, 9}", "{8, 9}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{2, 4}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 5}", "{3, 6}", "{4, 5}" ], [ "{1, 6}", "{1, 10}" ], [ "{4, 7}" ], [ "{2, 7}", "{3, 7}", "{4, 8}", "{4, 9}", "{5, 7}", "{5, 8}", "{5, 9}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 10}" ], [ "{1, 7}", "{1, 8}", "{1, 9}", "{2, 10}", "{3, 10}" ], [ "{5, 6}", "{5, 10}", "{6, 7}", "{7, 8}", "{7, 9}", "{8, 10}", "{9, 10}" ], [ "{4, 6}" ], [ "{4, 10}" ] ], "SortedReprnIndices":"{2, 1}", "aCuspShapeN":[ -1.5e1, -1.5e1 ], "Abelian":false }, { "IdealName":"abJ10_49_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":6.1061e-2, "TimingZeroDimVars":6.662799999999999e-2, "TimingmagmaVCompNormalize":6.7986e-2, "TimingNumberOfSols":2.4820000000000002e-2, "TimingIsRadical":1.761e-3, "TimingArcColoring":5.9878e-2, "TimingObstruction":4.1900000000000005e-4, "TimingComplexVolumeN":0.404851, "TimingaCuspShapeN":4.315e-3, "TiminguValues":0.642481, "TiminguPolysN":7.6e-5, "TiminguPolys":0.804235, "TimingaCuspShape":9.591e-2, "TimingRepresentationsN":2.5470000000000003e-2, "TiminguValues_ij":0.14258, "TiminguPoly_ij":0.146736, "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 + u)^2*(1 + 3*u - 10*u^2 - u^3 + 31*u^4 - 16*u^5 - 60*u^6 + 60*u^7 + 94*u^8 - 150*u^9 - 112*u^10 + 330*u^11 - 510*u^13 + 318*u^14 + 458*u^15 - 651*u^16 - 101*u^17 + 690*u^18 - 289*u^19 - 403*u^20 + 410*u^21 + 74*u^22 - 274*u^23 + 73*u^24 + 99*u^25 - 64*u^26 - 13*u^27 + 22*u^28 - 3*u^29 - 3*u^30 + u^31)", "u^2*(4 + 12*u + 19*u^2 + 39*u^3 + 43*u^4 + 56*u^5 + 44*u^6 + 16*u^7 + 20*u^8 - 22*u^9 + 20*u^10 + 34*u^11 + 56*u^12 + 136*u^13 + 52*u^14 + 152*u^15 - 4*u^16 + 96*u^17 - 33*u^18 + 75*u^19 - u^20 + 100*u^21 + 38*u^22 + 106*u^23 + 42*u^24 + 72*u^25 + 23*u^26 + 31*u^27 + 7*u^28 + 8*u^29 + u^30 + u^31)", "(-1 + u)^2*(1 + 29*u + 168*u^2 + 645*u^3 + 1957*u^4 + 5060*u^5 + 11308*u^6 + 22268*u^7 + 39406*u^8 + 63838*u^9 + 95804*u^10 + 134238*u^11 + 176596*u^12 + 219118*u^13 + 257198*u^14 + 286030*u^15 + 301521*u^16 + 301169*u^17 + 284436*u^18 + 252729*u^19 + 209419*u^20 + 159870*u^21 + 110810*u^22 + 68638*u^23 + 37365*u^24 + 17557*u^25 + 6974*u^26 + 2281*u^27 + 592*u^28 + 115*u^29 + 15*u^30 + u^31)", "(1 + u)^2*(1 + 3*u - 10*u^2 - u^3 + 31*u^4 - 16*u^5 - 60*u^6 + 60*u^7 + 94*u^8 - 150*u^9 - 112*u^10 + 330*u^11 - 510*u^13 + 318*u^14 + 458*u^15 - 651*u^16 - 101*u^17 + 690*u^18 - 289*u^19 - 403*u^20 + 410*u^21 + 74*u^22 - 274*u^23 + 73*u^24 + 99*u^25 - 64*u^26 - 13*u^27 + 22*u^28 - 3*u^29 - 3*u^30 + u^31)", "(-1 + u + u^2)*(7 + 14*u + 57*u^2 + 122*u^3 + 35*u^4 + 384*u^5 - 688*u^6 + 1072*u^7 - 666*u^8 + 1488*u^9 - 2334*u^10 + 2772*u^11 - 1312*u^12 + 384*u^13 + 44*u^14 - 264*u^15 + 1609*u^16 - 2348*u^17 + 1977*u^18 - 1006*u^19 + 449*u^20 - 32*u^21 - 384*u^22 + 636*u^23 - 579*u^24 + 396*u^25 - 249*u^26 + 154*u^27 - 82*u^28 + 32*u^29 - 8*u^30 + u^31)", "(-1 + u + u^2)*(1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31)", "(-1 + u + u^2)*(1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31)", "u^2*(4 + 12*u + 19*u^2 + 39*u^3 + 43*u^4 + 56*u^5 + 44*u^6 + 16*u^7 + 20*u^8 - 22*u^9 + 20*u^10 + 34*u^11 + 56*u^12 + 136*u^13 + 52*u^14 + 152*u^15 - 4*u^16 + 96*u^17 - 33*u^18 + 75*u^19 - u^20 + 100*u^21 + 38*u^22 + 106*u^23 + 42*u^24 + 72*u^25 + 23*u^26 + 31*u^27 + 7*u^28 + 8*u^29 + u^30 + u^31)", "(-1 - u + u^2)*(1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31)", "(-1 - u + u^2)*(1 + 2*u - 3*u^2 - 6*u^3 + 17*u^4 + 32*u^5 - 80*u^6 - 36*u^7 + 322*u^8 - 92*u^9 - 718*u^10 + 764*u^11 + 1068*u^12 - 2112*u^13 - 596*u^14 + 3746*u^15 - 863*u^16 - 4494*u^17 + 2389*u^18 + 3842*u^19 - 2789*u^20 - 2496*u^21 + 1936*u^22 + 1250*u^23 - 835*u^24 - 458*u^25 + 219*u^26 + 112*u^27 - 32*u^28 - 16*u^29 + 2*u^30 + u^31)" ], "RileyPolyC":[ "(-1 + y)^2*(-1 + 29*y - 168*y^2 + 645*y^3 - 1957*y^4 + 5060*y^5 - 11308*y^6 + 22268*y^7 - 39406*y^8 + 63838*y^9 - 95804*y^10 + 134238*y^11 - 176596*y^12 + 219118*y^13 - 257198*y^14 + 286030*y^15 - 301521*y^16 + 301169*y^17 - 284436*y^18 + 252729*y^19 - 209419*y^20 + 159870*y^21 - 110810*y^22 + 68638*y^23 - 37365*y^24 + 17557*y^25 - 6974*y^26 + 2281*y^27 - 592*y^28 + 115*y^29 - 15*y^30 + y^31)", "y^2*(-16 - 8*y + 231*y^2 + 879*y^3 + 1071*y^4 - 848*y^5 - 3972*y^6 - 2316*y^7 + 8440*y^8 + 21180*y^9 + 23558*y^10 + 17642*y^11 + 20530*y^12 + 38900*y^13 + 57222*y^14 + 60666*y^15 + 55808*y^16 + 57504*y^17 + 66491*y^18 + 71395*y^19 + 65799*y^20 + 53584*y^21 + 40766*y^22 + 29450*y^23 + 19424*y^24 + 11044*y^25 + 5167*y^26 + 1919*y^27 + 545*y^28 + 112*y^29 + 15*y^30 + y^31)", "(-1 + y)^2*(-1 + 505*y + 5272*y^2 + 29337*y^3 + 110795*y^4 + 340388*y^5 + 839700*y^6 + 1746644*y^7 + 3075274*y^8 + 4681590*y^9 + 6177164*y^10 + 7142654*y^11 + 7191732*y^12 + 6345070*y^13 + 4857466*y^14 + 3208358*y^15 + 1809755*y^16 + 851601*y^17 + 348348*y^18 + 137213*y^19 + 72557*y^20 + 49566*y^21 + 30238*y^22 + 15486*y^23 + 5399*y^24 + 1733*y^25 + 378*y^26 + 181*y^27 + 60*y^28 + 27*y^29 + 5*y^30 + y^31)", "(-1 + y)^2*(-1 + 29*y - 168*y^2 + 645*y^3 - 1957*y^4 + 5060*y^5 - 11308*y^6 + 22268*y^7 - 39406*y^8 + 63838*y^9 - 95804*y^10 + 134238*y^11 - 176596*y^12 + 219118*y^13 - 257198*y^14 + 286030*y^15 - 301521*y^16 + 301169*y^17 - 284436*y^18 + 252729*y^19 - 209419*y^20 + 159870*y^21 - 110810*y^22 + 68638*y^23 - 37365*y^24 + 17557*y^25 - 6974*y^26 + 2281*y^27 - 592*y^28 + 115*y^29 - 15*y^30 + y^31)", "(1 - 3*y + y^2)*(-49 - 602*y - 323*y^2 + 31278*y^3 + 210243*y^4 + 607448*y^5 + 1121704*y^6 + 2375004*y^7 + 1814630*y^8 + 3193680*y^9 + 790046*y^10 + 2175104*y^11 - 1085448*y^12 + 654852*y^13 - 2104680*y^14 + 160806*y^15 - 1326797*y^16 + 523346*y^17 - 168855*y^18 + 546290*y^19 + 116653*y^20 + 232288*y^21 + 44844*y^22 + 47406*y^23 + 3571*y^24 + 4510*y^25 - 493*y^26 + 232*y^27 - 60*y^28 + 20*y^29 + y^31)", "(1 - 3*y + y^2)*(-1 + 10*y - 67*y^2 + 426*y^3 - 1941*y^4 + 7176*y^5 - 21936*y^6 + 61324*y^7 - 160878*y^8 + 398940*y^9 - 928894*y^10 + 2036448*y^11 - 4262348*y^12 + 8535888*y^13 - 16076808*y^14 + 27699662*y^15 - 42487005*y^16 + 56826922*y^17 - 65325595*y^18 + 63825646*y^19 - 52480987*y^20 + 35983952*y^21 - 20394980*y^22 + 9471794*y^23 - 3569281*y^24 + 1078110*y^25 - 256729*y^26 + 47056*y^27 - 6400*y^28 + 608*y^29 - 36*y^30 + y^31)", "(1 - 3*y + y^2)*(-1 + 10*y - 67*y^2 + 426*y^3 - 1941*y^4 + 7176*y^5 - 21936*y^6 + 61324*y^7 - 160878*y^8 + 398940*y^9 - 928894*y^10 + 2036448*y^11 - 4262348*y^12 + 8535888*y^13 - 16076808*y^14 + 27699662*y^15 - 42487005*y^16 + 56826922*y^17 - 65325595*y^18 + 63825646*y^19 - 52480987*y^20 + 35983952*y^21 - 20394980*y^22 + 9471794*y^23 - 3569281*y^24 + 1078110*y^25 - 256729*y^26 + 47056*y^27 - 6400*y^28 + 608*y^29 - 36*y^30 + y^31)", "y^2*(-16 - 8*y + 231*y^2 + 879*y^3 + 1071*y^4 - 848*y^5 - 3972*y^6 - 2316*y^7 + 8440*y^8 + 21180*y^9 + 23558*y^10 + 17642*y^11 + 20530*y^12 + 38900*y^13 + 57222*y^14 + 60666*y^15 + 55808*y^16 + 57504*y^17 + 66491*y^18 + 71395*y^19 + 65799*y^20 + 53584*y^21 + 40766*y^22 + 29450*y^23 + 19424*y^24 + 11044*y^25 + 5167*y^26 + 1919*y^27 + 545*y^28 + 112*y^29 + 15*y^30 + y^31)", "(1 - 3*y + y^2)*(-1 + 10*y - 67*y^2 + 426*y^3 - 1941*y^4 + 7176*y^5 - 21936*y^6 + 61324*y^7 - 160878*y^8 + 398940*y^9 - 928894*y^10 + 2036448*y^11 - 4262348*y^12 + 8535888*y^13 - 16076808*y^14 + 27699662*y^15 - 42487005*y^16 + 56826922*y^17 - 65325595*y^18 + 63825646*y^19 - 52480987*y^20 + 35983952*y^21 - 20394980*y^22 + 9471794*y^23 - 3569281*y^24 + 1078110*y^25 - 256729*y^26 + 47056*y^27 - 6400*y^28 + 608*y^29 - 36*y^30 + y^31)", "(1 - 3*y + y^2)*(-1 + 10*y - 67*y^2 + 426*y^3 - 1941*y^4 + 7176*y^5 - 21936*y^6 + 61324*y^7 - 160878*y^8 + 398940*y^9 - 928894*y^10 + 2036448*y^11 - 4262348*y^12 + 8535888*y^13 - 16076808*y^14 + 27699662*y^15 - 42487005*y^16 + 56826922*y^17 - 65325595*y^18 + 63825646*y^19 - 52480987*y^20 + 35983952*y^21 - 20394980*y^22 + 9471794*y^23 - 3569281*y^24 + 1078110*y^25 - 256729*y^26 + 47056*y^27 - 6400*y^28 + 608*y^29 - 36*y^30 + y^31)" ] }, "GeometricRepresentation":[ 1.1453199999999999e1, [ "J10_49_0", 1, "{28, 29}" ] ] } }