{ "Index":138, "Name":"10_54", "RolfsenName":"10_54", "DTname":"10a_48", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{15, -9, -11, -19, -5, 17, 1, 13, -7, 3}", "Acode":"{8, -5, -6, -10, -3, 9, 1, 7, -4, 2}", "PDcode":[ "{2, 16, 3, 15}", "{4, 9, 5, 10}", "{6, 11, 7, 12}", "{8, 19, 9, 20}", "{10, 5, 11, 6}", "{12, 18, 13, 17}", "{14, 2, 15, 1}", "{16, 14, 17, 13}", "{18, 7, 19, 8}", "{20, 4, 1, 3}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{1, 8, 5}", [], [ "{1, 8, 2, 1}", "{2, -5, 3, 1}", "{8, 1, 7, 2}", "{8, 7, 9, 1}", "{7, 9, 6, 2}", "{1, 2, 10, 2}", "{5, -10, 4, 2}" ], "{5, 9}", "{3}", 3 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "a + b - a*b^2 - u - a*u^2 + 2*a^2*b*u^2 - a^3*u^4 - u^5", "b - b^3 - u + b*u^2 + 2*a*b^2*u^2 + u^3 - a*u^4 - a^2*b*u^4 - u^5", "-1 + a^2*u - 2*a*b*u + b^2*u + u^2 - u^3 - a^2*u^3 + 7*a*b*u^3 - 6*b^2*u^3 - 2*a^2*u^5 - 4*a*b*u^5 + 12*b^2*u^5 + 4*a^2*u^7 - 6*a*b*u^7 - 12*b^2*u^7 - a^2*u^9 + 12*a*b*u^9 + 8*b^2*u^9 - 2*a^2*u^11 - 10*a*b*u^11 - 4*b^2*u^11 + 3*a^2*u^13 + 6*a*b*u^13 + b^2*u^13 - 2*a^2*u^15 - 2*a*b*u^15 + a^2*u^17", "u + a*b*u - b^2*u - u^3 - a*b*u^3 + 4*b^2*u^3 + u^4 - 4*b^2*u^5 + 7*b^2*u^7 + a^2*u^9 - 2*a*b*u^9 - 8*b^2*u^9 - a^2*u^11 + 8*a*b*u^11 + 5*b^2*u^11 - a^2*u^13 - 6*a*b*u^13 - 3*b^2*u^13 + 2*a^2*u^15 + 4*a*b*u^15 + b^2*u^15 - a^2*u^17 - 2*a*b*u^17 + a^2*u^19" ], "TimingForPrimaryIdeals":0.165873 }, "v":{ "CheckEq":[ "b - b^3", "a + b - a*b^2 - v", "-(b^2*v)", "-1 + v - a*b*v + b^2*v" ], "TimingForPrimaryIdeals":7.434700000000001e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_54_0", "Generators":[ "b - 2*u + 4*u^3 - 4*u^4 - 6*u^5 + 8*u^6 + 2*u^7 - 10*u^8 - 2*u^9 + 8*u^10 - 6*u^12 + 2*u^14 - u^16", "2 + a - 2*u - 4*u^2 + 12*u^3 + 5*u^4 - 24*u^5 + 7*u^6 + 35*u^7 - 16*u^8 - 36*u^9 + 34*u^10 + 38*u^11 - 33*u^12 - 28*u^13 + 31*u^14 + 24*u^15 - 18*u^16 - 12*u^17 + 10*u^18 + 8*u^19 - 3*u^20 - 2*u^21 + u^22 + u^23", "-1 + 2*u + 5*u^2 - 9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.385e-2, "TimingZeroDimVars":8.9401e-2, "TimingmagmaVCompNormalize":9.055999999999999e-2, "TimingNumberOfSols":0.265756, "TimingIsRadical":2.7692e-2, "TimingArcColoring":6.273100000000001e-2, "TimingObstruction":5.9356e-2, "TimingComplexVolumeN":2.2081843e1, "TimingaCuspShapeN":0.148677, "TiminguValues":0.667208, "TiminguPolysN":7.7569e-2, "TiminguPolys":0.916956, "TimingaCuspShape":0.124726, "TimingRepresentationsN":0.243912, "TiminguValues_ij":0.191106, "TiminguPoly_ij":1.78305, "TiminguPolys_ij_N":0.108683 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":26, "IsRadical":true, "ArcColoring":[ "{1, 0}", [ 1, "u^2" ], [ "3 - 2*u - 7*u^2 + 15*u^3 + 11*u^4 - 36*u^5 - 4*u^6 + 57*u^7 - 12*u^8 - 71*u^9 + 39*u^10 + 73*u^11 - 58*u^12 - 66*u^13 + 58*u^14 + 52*u^15 - 47*u^16 - 36*u^17 + 27*u^18 + 20*u^19 - 13*u^20 - 10*u^21 + 4*u^22 + 3*u^23 - u^24 - u^25", "1 - 4*u - 3*u^2 + 15*u^3 - 3*u^4 - 37*u^5 + 16*u^6 + 48*u^7 - 47*u^8 - 57*u^9 + 73*u^10 + 41*u^11 - 96*u^12 - 37*u^13 + 86*u^14 + 22*u^15 - 71*u^16 - 19*u^17 + 39*u^18 + 10*u^19 - 21*u^20 - 7*u^21 + 6*u^22 + 2*u^23 - 2*u^24 - u^25" ], [ "-3 + 2*u + 10*u^2 - 16*u^3 - 19*u^4 + 48*u^5 + 19*u^6 - 86*u^7 + u^8 + 122*u^9 - 40*u^10 - 132*u^11 + 78*u^12 + 128*u^13 - 84*u^14 - 102*u^15 + 75*u^16 + 72*u^17 - 44*u^18 - 40*u^19 + 23*u^20 + 20*u^21 - 7*u^22 - 6*u^23 + 2*u^24 + 2*u^25", "-2 + 7*u + 8*u^2 - 28*u^3 - 2*u^4 + 75*u^5 - 16*u^6 - 111*u^7 + 74*u^8 + 143*u^9 - 130*u^10 - 122*u^11 + 180*u^12 + 114*u^13 - 168*u^14 - 76*u^15 + 140*u^16 + 57*u^17 - 78*u^18 - 30*u^19 + 42*u^20 + 17*u^21 - 12*u^22 - 5*u^23 + 4*u^24 + 2*u^25" ], [ "-2 + 2*u + 4*u^2 - 12*u^3 - 5*u^4 + 24*u^5 - 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9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26", "-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26", "-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26", "8 - 12*u - 8*u^2 - 29*u^3 + 42*u^4 + 6*u^5 + 120*u^6 + 67*u^7 - 456*u^8 + 103*u^9 + 401*u^10 - 585*u^11 + 242*u^12 + 742*u^13 - 672*u^14 - 362*u^15 + 454*u^16 - 18*u^17 - 78*u^18 + 103*u^19 - 60*u^20 - 50*u^21 + 40*u^22 + 11*u^23 - 10*u^24 - u^25 + u^26", "-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26", "-1 + 2*u + 5*u^2 - 9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26", "8 - 12*u - 8*u^2 - 29*u^3 + 42*u^4 + 6*u^5 + 120*u^6 + 67*u^7 - 456*u^8 + 103*u^9 + 401*u^10 - 585*u^11 + 242*u^12 + 742*u^13 - 672*u^14 - 362*u^15 + 454*u^16 - 18*u^17 - 78*u^18 + 103*u^19 - 60*u^20 - 50*u^21 + 40*u^22 + 11*u^23 - 10*u^24 - u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26" ], "uPolys":[ "-1 + 2*u + 5*u^2 - 9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26", "-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26", "-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26", "8 - 12*u - 8*u^2 - 29*u^3 + 42*u^4 + 6*u^5 + 120*u^6 + 67*u^7 - 456*u^8 + 103*u^9 + 401*u^10 - 585*u^11 + 242*u^12 + 742*u^13 - 672*u^14 - 362*u^15 + 454*u^16 - 18*u^17 - 78*u^18 + 103*u^19 - 60*u^20 - 50*u^21 + 40*u^22 + 11*u^23 - 10*u^24 - u^25 + u^26", "-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26", "-1 + 2*u + 5*u^2 - 9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26", "8 - 12*u - 8*u^2 - 29*u^3 + 42*u^4 + 6*u^5 + 120*u^6 + 67*u^7 - 456*u^8 + 103*u^9 + 401*u^10 - 585*u^11 + 242*u^12 + 742*u^13 - 672*u^14 - 362*u^15 + 454*u^16 - 18*u^17 - 78*u^18 + 103*u^19 - 60*u^20 - 50*u^21 + 40*u^22 + 11*u^23 - 10*u^24 - u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26" ], "aCuspShape":"3 + 27*u - 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9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26", "1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26", "1 + 38*u - 697*u^2 + 4323*u^3 - 13491*u^4 + 31308*u^5 - 68084*u^6 + 188026*u^7 - 555066*u^8 + 1426696*u^9 - 2883530*u^10 + 4472027*u^11 - 5251100*u^12 + 4450864*u^13 - 2282520*u^14 - 91132*u^15 + 1541877*u^16 - 1792622*u^17 + 1312611*u^18 - 704121*u^19 + 287219*u^20 - 89388*u^21 + 20912*u^22 - 3562*u^23 + 417*u^24 - 30*u^25 + u^26", "53 - 482*u - 283*u^2 + 7185*u^3 - 2983*u^4 - 40896*u^5 + 50798*u^6 + 70986*u^7 - 155812*u^8 - 8140*u^9 + 197592*u^10 - 96731*u^11 - 110736*u^12 + 107188*u^13 + 30848*u^14 - 57812*u^15 - 1393*u^16 + 20762*u^17 - 1499*u^18 - 5351*u^19 + 365*u^20 + 976*u^21 - 110*u^23 - 9*u^24 + 6*u^25 + u^26", "-25 + 90*u + 349*u^2 - 2349*u^3 - 2989*u^4 + 19780*u^5 + 25648*u^6 - 51710*u^7 - 102330*u^8 + 7460*u^9 + 167024*u^10 + 133931*u^11 + 14780*u^12 + 69854*u^13 - 23696*u^14 + 11802*u^15 + 20981*u^16 - 7402*u^17 + 16005*u^18 - 3825*u^19 + 4103*u^20 - 704*u^21 + 526*u^22 - 60*u^23 + 35*u^24 - 2*u^25 + u^26", "977 + 6840*u + 12537*u^2 + 92823*u^3 + 34493*u^4 + 410398*u^5 + 99034*u^6 + 701496*u^7 + 299118*u^8 + 703136*u^9 + 94268*u^10 + 896539*u^11 - 445820*u^12 + 838240*u^13 - 384692*u^14 + 342182*u^15 - 100707*u^16 + 59374*u^17 - 4041*u^18 + 1677*u^19 + 2831*u^20 - 962*u^21 + 594*u^22 - 142*u^23 + 45*u^24 - 6*u^25 + u^26", "64 - 272*u + 40*u^2 + 551*u^3 - 5496*u^4 + 30114*u^5 - 35318*u^6 - 112227*u^7 + 370086*u^8 - 335143*u^9 - 155905*u^10 + 469377*u^11 + 22264*u^12 - 883852*u^13 + 1173668*u^14 - 709828*u^15 + 96832*u^16 + 181768*u^17 - 156180*u^18 + 56643*u^19 - 3092*u^20 - 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3643*u^20 - 2531*u^21 + 719*u^22 + 155*u^23 - 47*u^24 - 3*u^25 + u^26", "1 + 9*u - 111*u^2 - 381*u^3 + 6951*u^4 - 32475*u^5 + 99336*u^6 - 251297*u^7 + 573375*u^8 - 1166713*u^9 + 2010580*u^10 - 2903659*u^11 + 3616716*u^12 - 3983796*u^13 + 3888280*u^14 - 3344824*u^15 + 2540649*u^16 - 1706683*u^17 + 1000793*u^18 - 497701*u^19 + 202689*u^20 - 65333*u^21 + 16108*u^22 - 2915*u^23 + 364*u^24 - 28*u^25 + u^26", "-392 + 1484*u + 3632*u^2 - 7107*u^3 - 29130*u^4 - 16412*u^5 + 48570*u^6 + 124805*u^7 + 206018*u^8 + 220247*u^9 + 180365*u^10 + 103255*u^11 + 195562*u^12 + 39364*u^13 + 90136*u^14 + 7078*u^15 + 45330*u^16 - 6566*u^17 + 20658*u^18 - 7283*u^19 + 7110*u^20 - 1562*u^21 + 946*u^22 - 119*u^23 + 52*u^24 - 3*u^25 + u^26", "-4019 + 43715*u - 172860*u^2 + 250327*u^3 + 27653*u^4 - 480041*u^5 + 180971*u^6 + 1039617*u^7 - 1923116*u^8 + 1606932*u^9 - 896021*u^10 + 431759*u^11 - 32422*u^12 - 53066*u^13 + 48482*u^14 + 113312*u^15 - 12455*u^16 + 63539*u^17 + 4344*u^18 + 8491*u^19 + 3747*u^20 + 245*u^21 + 589*u^22 - 13*u^23 + 39*u^24 - u^25 + u^26", "-1 - 21*u - 69*u^2 + 415*u^3 + 1263*u^4 - 4669*u^5 - 270*u^6 + 5125*u^7 - 187*u^8 + 1351*u^9 - 4940*u^10 - 2053*u^11 + 3772*u^12 - 2940*u^13 + 6004*u^14 - 9358*u^15 + 6869*u^16 - 5651*u^17 + 7497*u^18 - 1165*u^19 + 2745*u^20 - 99*u^21 + 446*u^22 - 3*u^23 + 34*u^24 + u^26", "1 - 4*u - 5*u^2 + 55*u^3 + 257*u^4 + 116*u^5 - 180*u^6 - 678*u^7 - 600*u^8 - 1118*u^9 + 1956*u^10 + 8117*u^11 + 3238*u^12 - 19328*u^13 - 23044*u^14 + 3738*u^15 + 22829*u^16 - 7338*u^17 + 7297*u^18 + 2031*u^19 - 3835*u^20 - 166*u^21 + 582*u^22 + 4*u^23 - 39*u^24 + u^26" ], "Multiplicity":1, "ij_list":[ [ "{1, 7}", "{1, 8}", "{2, 8}" ], [ "{1, 2}", "{2, 10}", "{6, 9}", "{7, 8}", "{7, 9}" ], [ "{1, 10}", "{6, 7}", "{8, 9}" ], [ "{1, 9}", "{2, 7}", "{8, 10}" ], [ "{1, 6}", "{2, 9}", "{7, 10}" ], [ "{6, 8}" ], [ "{2, 6}", "{4, 5}", "{9, 10}" ], [ "{3, 10}", "{6, 10}" ], [ "{1, 5}", "{3, 9}" ], [ "{5, 8}" ], [ "{5, 7}" ], [ "{4, 9}", "{4, 10}", "{5, 10}" ], [ "{2, 5}", "{3, 5}", "{3, 6}", "{4, 6}" ], [ "{3, 7}" ], [ "{2, 3}", "{3, 4}", "{5, 6}" ], [ "{1, 3}", "{5, 9}" ], [ "{3, 8}" ], [ "{2, 4}", "{4, 7}" ], [ "{1, 4}", "{4, 8}" ] ], "SortedReprnIndices":"{22, 23, 5, 4, 20, 21, 17, 16, 2, 1, 19, 18, 11, 10, 8, 9, 6, 7, 12, 13, 14, 15, 24, 25, 3, 26}", "aCuspShapeN":[ "0.6727912591333573131`4.083462252553129 + 7.8222665880309942112`5.148914524968576*I", "0.6727912591333573131`4.083462252553129 - 7.8222665880309942112`5.148914524968576*I", 2.1067, "4.3968404468062452375`4.923084620643874 + 5.9805181563673880252`5.056682727683206*I", "4.3968404468062452375`4.923084620643874 - 5.9805181563673880252`5.056682727683206*I", "8.3188568596812868274`5.149561466909471 - 0.5518624243214913104`3.9713286397948413*I", "8.3188568596812868274`5.149561466909471 + 0.5518624243214913104`3.9713286397948413*I", "3.1467214839271933801`4.981737120025526 - 3.4116662456135676664`5.016845353462069*I", "3.1467214839271933801`4.981737120025526 + 3.4116662456135676664`5.016845353462069*I", "-1.5791978524690096862`4.810352904180006 + 3.0743194481497482962`5.099665351874279*I", "-1.5791978524690096862`4.810352904180006 - 3.0743194481497482962`5.099665351874279*I", "-6.5449595949030866382`5.148438069490948 - 0.6416229063633763673`4.139810959852839*I", "-6.5449595949030866382`5.148438069490948 + 0.6416229063633763673`4.139810959852839*I", "5.675469270120290694`5.150104358183003 + 0.2469223553062324999`3.7886629925558353*I", "5.675469270120290694`5.150104358183003 - 0.2469223553062324999`3.7886629925558353*I", "7.5289612554850773386`5.146692998753861 + 1.0032680821824480996`4.271374932402406*I", "7.5289612554850773386`5.146692998753861 - 1.0032680821824480996`4.271374932402406*I", "6.2185462320084349149`5.119358033452573 + 2.4426092620049014642`4.713523165543381*I", "6.2185462320084349149`5.119358033452573 - 2.4426092620049014642`4.713523165543381*I", "5.1899566144348248925`4.999572555212555 - 5.200172822215011069`5.00042660503394*I", "5.1899566144348248925`4.999572555212555 + 5.200172822215011069`5.00042660503394*I", "6.799885497418623974`5.0352904876022775 - 5.6891939567788449391`4.9578396279222146*I", "6.799885497418623974`5.0352904876022775 + 5.6891939567788449391`4.9578396279222146*I", "6.5181612098347996005`5.1501254924668975 + 0.2761845902587473539`3.777199838479114*I", "6.5181612098347996005`5.1501254924668975 - 0.2761845902587473539`3.777199838479114*I", 1.0209e1 ], "Abelian":false }, { "IdealName":"J10_54_1", "Generators":[ "b + u^2", "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":6.0131e-2, "TimingZeroDimVars":6.4746e-2, "TimingmagmaVCompNormalize":6.6124e-2, "TimingNumberOfSols":4.4086e-2, "TimingIsRadical":1.841e-3, "TimingArcColoring":5.6260000000000004e-2, "TimingObstruction":2.043e-3, "TimingComplexVolumeN":2.734271, "TimingaCuspShapeN":1.3773e-2, "TiminguValues":0.633106, "TiminguPolysN":5.53e-4, "TiminguPolys":0.816227, "TimingaCuspShape":0.106336, "TimingRepresentationsN":4.3286e-2, "TiminguValues_ij":0.160971, "TiminguPoly_ij":0.713138, "TiminguPolys_ij_N":6.72e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":3, "IsRadical":true, "ArcColoring":[ "{1, 0}", [ 1, "u^2" ], [ "1 - u", 0 ], [ "-u", "-u^2" ], [ "-u", "-u^2" ], [ -1, "-u^2" ], [ "u", "u" ], [ 0, "u" ], [ "1 - u^2", "1 + u - u^2" ], [ "1 - u^2", "1 + u - u^2" ] ], "Obstruction":1, "ComplexVolumeN":[ "4.66906 - 2.82812*I", "4.66906 + 2.82812*I", 0.53148 ], "uPolysN":[ "1 - 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 + 2*u - u^2 + u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "u^3", "-1 + 2*u - u^2 + u^3" ], "uPolys":[ "1 - u^2 + u^3", "(1 + u)^3", "(1 + u)^3", "u^3", "(-1 + u)^3", "-1 + 2*u - u^2 + u^3", "-1 + u^2 + u^3", "1 + 2*u + u^2 + u^3", "u^3", "-1 + 2*u - u^2 + u^3" ], "aCuspShape":"2 + 7*u - 2*u^2", "RepresentationsN":[ [ "u->0.877439 + 0.744862 I", "a->-0.877439 - 0.744862 I", "b->-0.21508 - 1.30714 I" ], [ "u->0.877439 - 0.744862 I", "a->-0.877439 + 0.744862 I", "b->-0.21508 + 1.30714 I" ], [ "u->-0.754878", "a->0.754878", "b->-0.56984" ] ], "Epsilon":2.87629, "uPolys_ij":[ "(1 + u)^3", "u^3", "-1 + u^2 + u^3", "1 - u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u + u^3", "1 + 2*u - 3*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + 3*u + 3*u^2 + u^3", "u^3", "-1 + u^2 + u^3", "1 - u^2 + u^3", "1 + 2*u + u^2 + u^3", "-1 + 2*u - u^2 + u^3", "1 - u + u^3", "1 + 2*u - 3*u^2 + u^3", "-1 + 2*u + 3*u^2 + u^3" ], "Multiplicity":1, "ij_list":[ [ "{2, 3}", "{2, 4}", "{2, 5}", "{3, 4}", "{3, 5}", "{3, 6}", "{4, 6}", "{4, 7}", "{5, 6}", "{5, 7}" ], [ "{1, 3}", "{2, 6}", "{4, 5}", "{4, 9}", "{4, 10}", "{5, 9}", "{5, 10}", "{9, 10}" ], [ "{6, 8}" ], [ "{1, 7}", "{1, 8}", "{2, 8}" ], [ "{1, 4}", "{1, 5}", "{1, 6}", "{2, 9}", "{2, 10}", "{3, 9}", "{3, 10}", "{4, 8}", "{5, 8}" ], [ "{1, 2}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}" ], [ "{3, 7}", "{3, 8}" ], [ "{1, 9}", "{1, 10}", "{2, 7}" ], [ "{6, 7}", "{8, 9}", "{8, 10}" ] ], "SortedReprnIndices":"{2, 1, 3}", "aCuspShapeN":[ "7.7119121228614779261`5.127142192066846 + 2.5997498089741186951`4.654911674890769*I", "7.7119121228614779261`5.127142192066846 - 2.5997498089741186951`4.654911674890769*I", -4.4238 ], "Abelian":false }, { "IdealName":"abJ10_54_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":6.1133e-2, "TimingZeroDimVars":6.1128e-2, "TimingmagmaVCompNormalize":6.2345e-2, "TimingNumberOfSols":2.527e-2, "TimingIsRadical":1.666e-3, "TimingArcColoring":5.7212e-2, "TimingObstruction":5.01e-4, "TimingComplexVolumeN":0.31511, "TimingaCuspShapeN":4.5579999999999996e-3, "TiminguValues":0.645448, "TiminguPolysN":7.2e-5, "TiminguPolys":0.801353, "TimingaCuspShape":9.0007e-2, "TimingRepresentationsN":2.5412e-2, "TiminguValues_ij":0.145694, "TiminguPoly_ij":0.139805, "TiminguPolys_ij_N":2.8e-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 + u^3)*(-1 + 2*u + 5*u^2 - 9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26)", "(1 + u)^3*(-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26)", "(1 + u)^3*(-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26)", "u^3*(8 - 12*u - 8*u^2 - 29*u^3 + 42*u^4 + 6*u^5 + 120*u^6 + 67*u^7 - 456*u^8 + 103*u^9 + 401*u^10 - 585*u^11 + 242*u^12 + 742*u^13 - 672*u^14 - 362*u^15 + 454*u^16 - 18*u^17 - 78*u^18 + 103*u^19 - 60*u^20 - 50*u^21 + 40*u^22 + 11*u^23 - 10*u^24 - u^25 + u^26)", "(-1 + u)^3*(-1 - u - 5*u^2 - 3*u^3 + 65*u^4 - 69*u^5 - 208*u^6 + 505*u^7 - 25*u^8 - 1055*u^9 + 922*u^10 + 907*u^11 - 1684*u^12 - 28*u^13 + 1584*u^14 - 648*u^15 - 905*u^16 + 671*u^17 + 311*u^18 - 391*u^19 - 65*u^20 + 153*u^21 + 16*u^22 - 37*u^23 - 6*u^24 + 4*u^25 + u^26)", "(-1 + 2*u - u^2 + u^3)*(1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26)", "(-1 + u^2 + u^3)*(-1 + 2*u + 5*u^2 - 9*u^3 - 9*u^4 + 28*u^5 + 16*u^6 - 46*u^7 - 6*u^8 + 72*u^9 - 4*u^10 - 81*u^11 + 24*u^12 + 96*u^13 - 20*u^14 - 80*u^15 + 19*u^16 + 66*u^17 - 3*u^18 - 37*u^19 + u^20 + 20*u^21 + 4*u^22 - 6*u^23 - u^24 + 2*u^25 + u^26)", "(1 + 2*u + u^2 + u^3)*(1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26)", "u^3*(8 - 12*u - 8*u^2 - 29*u^3 + 42*u^4 + 6*u^5 + 120*u^6 + 67*u^7 - 456*u^8 + 103*u^9 + 401*u^10 - 585*u^11 + 242*u^12 + 742*u^13 - 672*u^14 - 362*u^15 + 454*u^16 - 18*u^17 - 78*u^18 + 103*u^19 - 60*u^20 - 50*u^21 + 40*u^22 + 11*u^23 - 10*u^24 - u^25 + u^26)", "(-1 + 2*u - u^2 + u^3)*(1 + 14*u + 79*u^2 + 315*u^3 + 941*u^4 + 2240*u^5 + 4472*u^6 + 7830*u^7 + 12446*u^8 + 18344*u^9 + 25026*u^10 + 31475*u^11 + 36036*u^12 + 37448*u^13 + 35072*u^14 + 29620*u^15 + 22493*u^16 + 15342*u^17 + 9391*u^18 + 5119*u^19 + 2491*u^20 + 1056*u^21 + 396*u^22 + 122*u^23 + 33*u^24 + 6*u^25 + u^26)" ], "RileyPolyC":[ "(-1 + 2*y - y^2 + y^3)*(1 - 14*y + 79*y^2 - 315*y^3 + 941*y^4 - 2240*y^5 + 4472*y^6 - 7830*y^7 + 12446*y^8 - 18344*y^9 + 25026*y^10 - 31475*y^11 + 36036*y^12 - 37448*y^13 + 35072*y^14 - 29620*y^15 + 22493*y^16 - 15342*y^17 + 9391*y^18 - 5119*y^19 + 2491*y^20 - 1056*y^21 + 396*y^22 - 122*y^23 + 33*y^24 - 6*y^25 + y^26)", "(-1 + y)^3*(1 + 9*y - 111*y^2 - 381*y^3 + 6951*y^4 - 32475*y^5 + 99336*y^6 - 251297*y^7 + 573375*y^8 - 1166713*y^9 + 2010580*y^10 - 2903659*y^11 + 3616716*y^12 - 3983796*y^13 + 3888280*y^14 - 3344824*y^15 + 2540649*y^16 - 1706683*y^17 + 1000793*y^18 - 497701*y^19 + 202689*y^20 - 65333*y^21 + 16108*y^22 - 2915*y^23 + 364*y^24 - 28*y^25 + y^26)", "(-1 + y)^3*(1 + 9*y - 111*y^2 - 381*y^3 + 6951*y^4 - 32475*y^5 + 99336*y^6 - 251297*y^7 + 573375*y^8 - 1166713*y^9 + 2010580*y^10 - 2903659*y^11 + 3616716*y^12 - 3983796*y^13 + 3888280*y^14 - 3344824*y^15 + 2540649*y^16 - 1706683*y^17 + 1000793*y^18 - 497701*y^19 + 202689*y^20 - 65333*y^21 + 16108*y^22 - 2915*y^23 + 364*y^24 - 28*y^25 + y^26)", "y^3*(64 - 272*y + 40*y^2 + 551*y^3 - 5496*y^4 + 30114*y^5 - 35318*y^6 - 112227*y^7 + 370086*y^8 - 335143*y^9 - 155905*y^10 + 469377*y^11 + 22264*y^12 - 883852*y^13 + 1173668*y^14 - 709828*y^15 + 96832*y^16 + 181768*y^17 - 156180*y^18 + 56643*y^19 - 3092*y^20 - 7134*y^21 + 3950*y^22 - 1141*y^23 + 202*y^24 - 21*y^25 + y^26)", "(-1 + y)^3*(1 + 9*y - 111*y^2 - 381*y^3 + 6951*y^4 - 32475*y^5 + 99336*y^6 - 251297*y^7 + 573375*y^8 - 1166713*y^9 + 2010580*y^10 - 2903659*y^11 + 3616716*y^12 - 3983796*y^13 + 3888280*y^14 - 3344824*y^15 + 2540649*y^16 - 1706683*y^17 + 1000793*y^18 - 497701*y^19 + 202689*y^20 - 65333*y^21 + 16108*y^22 - 2915*y^23 + 364*y^24 - 28*y^25 + y^26)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 38*y - 697*y^2 - 4323*y^3 - 13491*y^4 - 31308*y^5 - 68084*y^6 - 188026*y^7 - 555066*y^8 - 1426696*y^9 - 2883530*y^10 - 4472027*y^11 - 5251100*y^12 - 4450864*y^13 - 2282520*y^14 + 91132*y^15 + 1541877*y^16 + 1792622*y^17 + 1312611*y^18 + 704121*y^19 + 287219*y^20 + 89388*y^21 + 20912*y^22 + 3562*y^23 + 417*y^24 + 30*y^25 + y^26)", "(-1 + 2*y - y^2 + y^3)*(1 - 14*y + 79*y^2 - 315*y^3 + 941*y^4 - 2240*y^5 + 4472*y^6 - 7830*y^7 + 12446*y^8 - 18344*y^9 + 25026*y^10 - 31475*y^11 + 36036*y^12 - 37448*y^13 + 35072*y^14 - 29620*y^15 + 22493*y^16 - 15342*y^17 + 9391*y^18 - 5119*y^19 + 2491*y^20 - 1056*y^21 + 396*y^22 - 122*y^23 + 33*y^24 - 6*y^25 + y^26)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 38*y - 697*y^2 - 4323*y^3 - 13491*y^4 - 31308*y^5 - 68084*y^6 - 188026*y^7 - 555066*y^8 - 1426696*y^9 - 2883530*y^10 - 4472027*y^11 - 5251100*y^12 - 4450864*y^13 - 2282520*y^14 + 91132*y^15 + 1541877*y^16 + 1792622*y^17 + 1312611*y^18 + 704121*y^19 + 287219*y^20 + 89388*y^21 + 20912*y^22 + 3562*y^23 + 417*y^24 + 30*y^25 + y^26)", "y^3*(64 - 272*y + 40*y^2 + 551*y^3 - 5496*y^4 + 30114*y^5 - 35318*y^6 - 112227*y^7 + 370086*y^8 - 335143*y^9 - 155905*y^10 + 469377*y^11 + 22264*y^12 - 883852*y^13 + 1173668*y^14 - 709828*y^15 + 96832*y^16 + 181768*y^17 - 156180*y^18 + 56643*y^19 - 3092*y^20 - 7134*y^21 + 3950*y^22 - 1141*y^23 + 202*y^24 - 21*y^25 + y^26)", "(-1 + 2*y + 3*y^2 + y^3)*(1 - 38*y - 697*y^2 - 4323*y^3 - 13491*y^4 - 31308*y^5 - 68084*y^6 - 188026*y^7 - 555066*y^8 - 1426696*y^9 - 2883530*y^10 - 4472027*y^11 - 5251100*y^12 - 4450864*y^13 - 2282520*y^14 + 91132*y^15 + 1541877*y^16 + 1792622*y^17 + 1312611*y^18 + 704121*y^19 + 287219*y^20 + 89388*y^21 + 20912*y^22 + 3562*y^23 + 417*y^24 + 30*y^25 + y^26)" ] }, "GeometricRepresentation":[ 1.0591299999999999e1, [ "J10_54_0", 1, "{22, 23}" ] ] } }