{ "Index":68, "Name":"9_33", "RolfsenName":"9_33", "DTname":"9a_11", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{14, -16, -12, 4, -2, -6, 18, 10, -8}", "Acode":"{8, -9, -7, 3, -2, -4, 1, 6, -5}", "PDcode":[ "{1, 15, 2, 14}", "{3, 16, 4, 17}", "{5, 12, 6, 13}", "{7, 5, 8, 4}", "{9, 2, 10, 3}", "{11, 6, 12, 7}", "{13, 1, 14, 18}", "{15, 11, 16, 10}", "{17, 8, 18, 9}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{3, 7, 9}", [], [ "{3, -7, 4, 1}", "{4, 3, 5, 1}", "{9, -5, 1, 1}", "{3, -9, 2, 2}", "{7, -4, 6, 2}", "{9, 6, 8, 2}" ], "{5, 7}", "{1}", 1 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - b^2 - a*b^3 + u - 2*a*b*u^2 - b^2*u^2 - a^2*b^2*u^2 - a*b^3*u^2", "-b^4 - u - u^2 - b^2*u^2 - a*b^3*u^2 - b^4*u^2 - u^3", "-a - a^2*u - 2*a*b*u - b^2*u - a*u^2 - b*u^2 - 2*a^2*u^3 - 6*a*b*u^3 - 4*b^2*u^3 - a*u^4 - 3*a^2*u^5 - 8*a*b*u^5 - 6*b^2*u^5 - 2*a^2*u^7 - 6*a*b*u^7 - 4*b^2*u^7 - a^2*u^9 - 2*a*b*u^9 - b^2*u^9", "-b + u - a*b*u - b^2*u + a*u^2 + b*u^2 - b^2*u^3 + 2*a*u^4 + b*u^4 + a^2*u^5 + 2*a*b*u^5 + 2*b^2*u^5 + a*u^6 + a^2*u^7 + 4*a*b*u^7 + 3*b^2*u^7 + a^2*u^9 + 2*a*b*u^9 + b^2*u^9" ], "TimingForPrimaryIdeals":0.102207 }, "v":{ "CheckEq":[ "-b^4", "1 - b^2 - a*b^3 - v", "-b + b^2*v", "-a + v + a*b*v + b^2*v - b*v^2" ], "TimingForPrimaryIdeals":7.428e-2 }, "PrimaryIdeals":[ { "IdealName":"J9_33_0", "Generators":[ "-519170884 + 6282411349*b - 10008213955*u - 7295919754*u^2 - 12774240688*u^3 - 18102938972*u^4 - 18148171586*u^5 - 30640393794*u^6 - 21674161910*u^7 - 28888695876*u^8 - 31920971347*u^9 - 25874083624*u^10 - 37829125690*u^11 - 22858546192*u^12 - 27764290775*u^13 - 31962315656*u^14 - 9587876909*u^15 - 38326068910*u^16 + 10718401706*u^17 - 39019409380*u^18 + 23995135000*u^19 - 30336419850*u^20 + 25389493014*u^21 - 18517321470*u^22 + 18974438476*u^23 - 8716482726*u^24 + 9539692706*u^25 - 2750180000*u^26 + 3134441200*u^27 - 519151600*u^28 + 523552400*u^29", "20413019584 + 6282411349*a - 16806723876*u + 25414233856*u^2 - 6953403884*u^3 + 3406055474*u^4 + 16391442688*u^5 - 22955764222*u^6 + 5978827412*u^7 - 11575281566*u^8 - 89950592518*u^9 + 90073764080*u^10 - 224288470012*u^11 + 191324854470*u^12 - 317460123316*u^13 + 257981325922*u^14 - 348405242923*u^15 + 231789039180*u^16 - 299976230036*u^17 + 158405741604*u^18 - 214215041610*u^19 + 80911230672*u^20 - 117941623290*u^21 + 27683071918*u^22 - 49543749438*u^23 + 6003990940*u^24 - 15471679064*u^25 + 255602104*u^26 - 3428488708*u^27 + 47533644*u^28 - 571526124*u^29", "1 - 3*u + 6*u^2 - 6*u^3 + 12*u^4 - 2*u^5 + 14*u^6 + 12*u^7 + 12*u^8 + 24*u^9 + 32*u^10 + 6*u^11 + 84*u^12 - 42*u^13 + 152*u^14 - 102*u^15 + 201*u^16 - 133*u^17 + 208*u^18 - 126*u^19 + 176*u^20 - 90*u^21 + 120*u^22 - 50*u^23 + 65*u^24 - 21*u^25 + 26*u^26 - 6*u^27 + 7*u^28 - u^29 + u^30" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.6629e-2, "TimingZeroDimVars":8.9095e-2, "TimingmagmaVCompNormalize":9.033e-2, "TimingNumberOfSols":0.324022, "TimingIsRadical":3.8671000000000004e-2, "TimingArcColoring":6.1520000000000005e-2, "TimingObstruction":0.108455, "TimingComplexVolumeN":2.1276809e1, "TimingaCuspShapeN":0.224639, "TiminguValues":0.616241, "TiminguPolysN":0.117772, "TiminguPolys":0.931312, "TimingaCuspShape":0.154856, "TimingRepresentationsN":0.307648, "TiminguValues_ij":0.171247, "TiminguPoly_ij":2.450184, "TiminguPolys_ij_N":0.25837 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":30, "IsRadical":true, "ArcColoring":[ [ "(-20032141180 + 27227570827*u - 38835605146*u^2 + 58877885890*u^3 - 20639031554*u^4 + 64152911357*u^5 + 60398802736*u^6 + 54100446250*u^7 + 130532633590*u^8 + 150745104027*u^9 + 47459140014*u^10 + 417658003316*u^11 - 195736265788*u^12 + 768009740964*u^13 - 500686186584*u^14 + 1024657155616*u^15 - 660516867302*u^16 + 1065711351070*u^17 - 628553176470*u^18 + 903173436110*u^19 - 450155944620*u^20 + 615576048360*u^21 - 250587017740*u^22 + 332917021330*u^23 - 105420903454*u^24 + 133059979460*u^25 - 30165442196*u^26 + 35820184678*u^27 - 5027648534*u^28 + 5132381018*u^29)\/6282411349", "(137871684 + 11106382275*u + 5145733190*u^2 + 3268644937*u^3 + 29373282106*u^4 - 24056867629*u^5 + 31356296500*u^6 - 21880953240*u^7 - 14394587104*u^8 + 5696880675*u^9 - 63099062540*u^10 - 492427307*u^11 - 58004720218*u^12 - 115110382652*u^13 + 61200144744*u^14 - 266145399472*u^15 + 179816347844*u^16 - 369715829698*u^17 + 253028719208*u^18 - 392200819082*u^19 + 225127774968*u^20 - 319873628712*u^21 + 151330411500*u^22 - 208547281448*u^23 + 76309354518*u^24 - 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5*u + 10*u^2 + 10*u^3 - 66*u^4 + 30*u^5 + 158*u^6 - 118*u^7 - 232*u^8 + 180*u^9 + 250*u^10 - 242*u^11 - 112*u^12 + 352*u^13 - 212*u^14 - 362*u^15 + 463*u^16 + 161*u^17 - 392*u^18 + 84*u^19 + 126*u^20 - 170*u^21 + 54*u^22 + 116*u^23 - 75*u^24 - 45*u^25 + 36*u^26 + 10*u^27 - 9*u^28 - u^29 + u^30", "1 + u - 2*u^2 + 2*u^3 + 10*u^4 + 2*u^5 + 14*u^6 + 14*u^7 - 90*u^8 - 148*u^9 + 16*u^10 + 208*u^11 + 86*u^12 - 258*u^13 - 292*u^14 - 30*u^15 + 289*u^16 + 459*u^17 + 512*u^18 + 352*u^19 + 110*u^20 + 14*u^21 + 104*u^22 + 162*u^23 + 105*u^24 + 27*u^25 + 4*u^26 + 10*u^27 + 11*u^28 + 5*u^29 + u^30", "1 + 3*u + 6*u^2 + 6*u^3 + 12*u^4 + 2*u^5 + 14*u^6 - 12*u^7 + 12*u^8 - 24*u^9 + 32*u^10 - 6*u^11 + 84*u^12 + 42*u^13 + 152*u^14 + 102*u^15 + 201*u^16 + 133*u^17 + 208*u^18 + 126*u^19 + 176*u^20 + 90*u^21 + 120*u^22 + 50*u^23 + 65*u^24 + 21*u^25 + 26*u^26 + 6*u^27 + 7*u^28 + u^29 + u^30", "1 + 3*u + 24*u^2 + 124*u^3 + 384*u^4 + 828*u^5 + 1408*u^6 + 2188*u^7 + 3614*u^8 + 6686*u^9 + 12928*u^10 + 23840*u^11 + 39934*u^12 + 59814*u^13 + 80402*u^14 + 98016*u^15 + 109581*u^16 + 113079*u^17 + 107764*u^18 + 94396*u^19 + 75414*u^20 + 54434*u^21 + 35122*u^22 + 20008*u^23 + 9913*u^24 + 4191*u^25 + 1474*u^26 + 416*u^27 + 89*u^28 + 13*u^29 + u^30", "1 + u + 2*u^2 - 6*u^3 - 2*u^4 - 14*u^5 + 34*u^6 + 32*u^7 + 168*u^8 + 134*u^9 + 314*u^10 + 148*u^11 + 334*u^12 + 72*u^13 + 272*u^14 + 14*u^15 + 217*u^16 + 3*u^17 + 100*u^18 - 52*u^19 + 58*u^20 + 30*u^21 + 66*u^22 + 34*u^23 + 47*u^24 + 31*u^25 + 22*u^26 + 10*u^27 + 7*u^28 + 3*u^29 + u^30", "1 + 3*u + 6*u^2 + 6*u^3 + 12*u^4 + 2*u^5 + 14*u^6 - 12*u^7 + 12*u^8 - 24*u^9 + 32*u^10 - 6*u^11 + 84*u^12 + 42*u^13 + 152*u^14 + 102*u^15 + 201*u^16 + 133*u^17 + 208*u^18 + 126*u^19 + 176*u^20 + 90*u^21 + 120*u^22 + 50*u^23 + 65*u^24 + 21*u^25 + 26*u^26 + 6*u^27 + 7*u^28 + u^29 + u^30", "1 - 5*u + 10*u^2 + 10*u^3 - 66*u^4 + 30*u^5 + 158*u^6 - 118*u^7 - 232*u^8 + 180*u^9 + 250*u^10 - 242*u^11 - 112*u^12 + 352*u^13 - 212*u^14 - 362*u^15 + 463*u^16 + 161*u^17 - 392*u^18 + 84*u^19 + 126*u^20 - 170*u^21 + 54*u^22 + 116*u^23 - 75*u^24 - 45*u^25 + 36*u^26 + 10*u^27 - 9*u^28 - u^29 + u^30", "1 - 9*u + 46*u^2 - 146*u^3 + 224*u^4 - 22*u^5 - 256*u^6 - 110*u^7 + 508*u^8 + 168*u^9 - 126*u^10 - 674*u^11 + 270*u^12 + 550*u^13 + 22*u^14 - 852*u^15 - 179*u^16 + 537*u^17 + 564*u^18 - 274*u^19 - 380*u^20 - 56*u^21 + 326*u^22 + 118*u^23 - 115*u^24 - 53*u^25 + 38*u^26 + 22*u^27 - 9*u^28 - 3*u^29 + u^30", "1 + 11*u + 56*u^2 + 174*u^3 + 360*u^4 + 490*u^5 + 340*u^6 - 220*u^7 - 1010*u^8 - 1590*u^9 - 1454*u^10 - 568*u^11 + 446*u^12 + 652*u^13 + 378*u^14 + 372*u^15 + 637*u^16 + 721*u^17 + 740*u^18 + 726*u^19 + 752*u^20 + 616*u^21 + 334*u^22 + 56*u^23 - 5*u^24 + 43*u^25 + 34*u^26 - 4*u^27 - 11*u^28 - u^29 + u^30" ], "uPolys":[ "1 - 5*u + 10*u^2 + 10*u^3 - 66*u^4 + 30*u^5 + 158*u^6 - 118*u^7 - 232*u^8 + 180*u^9 + 250*u^10 - 242*u^11 - 112*u^12 + 352*u^13 - 212*u^14 - 362*u^15 + 463*u^16 + 161*u^17 - 392*u^18 + 84*u^19 + 126*u^20 - 170*u^21 + 54*u^22 + 116*u^23 - 75*u^24 - 45*u^25 + 36*u^26 + 10*u^27 - 9*u^28 - u^29 + u^30", "1 + u - 2*u^2 + 2*u^3 + 10*u^4 + 2*u^5 + 14*u^6 + 14*u^7 - 90*u^8 - 148*u^9 + 16*u^10 + 208*u^11 + 86*u^12 - 258*u^13 - 292*u^14 - 30*u^15 + 289*u^16 + 459*u^17 + 512*u^18 + 352*u^19 + 110*u^20 + 14*u^21 + 104*u^22 + 162*u^23 + 105*u^24 + 27*u^25 + 4*u^26 + 10*u^27 + 11*u^28 + 5*u^29 + u^30", "1 + 3*u + 6*u^2 + 6*u^3 + 12*u^4 + 2*u^5 + 14*u^6 - 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39*u + 600*u^2 - 904*u^3 + 3796*u^4 - 12348*u^5 + 33932*u^6 - 52800*u^7 + 55070*u^8 - 57018*u^9 + 210868*u^10 - 620064*u^11 + 1362362*u^12 - 2193162*u^13 + 2816578*u^14 - 2933644*u^15 + 2528701*u^16 - 1793611*u^17 + 1030188*u^18 - 452944*u^19 + 129730*u^20 - 2946*u^21 - 21018*u^22 + 12980*u^23 - 3995*u^24 + 353*u^25 + 314*u^26 - 176*u^27 + 53*u^28 - 9*u^29 + u^30", "17 - 45*u + 230*u^2 - 166*u^3 + 882*u^4 - 1812*u^5 + 3620*u^6 - 5462*u^7 + 9310*u^8 - 11462*u^9 + 14554*u^10 - 14856*u^11 + 15680*u^12 - 15004*u^13 + 13434*u^14 - 9452*u^15 + 7631*u^16 - 5213*u^17 + 3014*u^18 - 1402*u^19 + 1078*u^20 - 404*u^21 + 172*u^22 - 58*u^23 + 75*u^24 - 11*u^25 + 14*u^26 - 4*u^27 + 3*u^28 - u^29 + u^30", "1 + 3*u + 12*u^2 + 52*u^3 + 244*u^4 + 1084*u^5 + 4616*u^6 + 16408*u^7 + 46166*u^8 + 102946*u^9 + 185224*u^10 + 273168*u^11 + 335790*u^12 + 349866*u^13 + 316046*u^14 + 252116*u^15 + 186689*u^16 + 134619*u^17 + 101236*u^18 + 73176*u^19 + 53954*u^20 + 32818*u^21 + 18830*u^22 + 8596*u^23 + 3729*u^24 + 1287*u^25 + 450*u^26 + 116*u^27 + 33*u^28 + 5*u^29 + u^30", "1 + 5*u + 68*u^2 + 804*u^3 + 5272*u^4 + 21736*u^5 + 61424*u^6 + 125340*u^7 + 190634*u^8 + 216714*u^9 + 168304*u^10 + 40708*u^11 - 109658*u^12 - 162318*u^13 - 29114*u^14 + 211856*u^15 + 348925*u^16 + 256353*u^17 + 29328*u^18 - 138540*u^19 - 157554*u^20 - 83382*u^21 - 9910*u^22 + 21160*u^23 + 20469*u^24 + 10805*u^25 + 3886*u^26 + 988*u^27 + 173*u^28 + 19*u^29 + u^30", "1 - 13*u + 94*u^2 - 510*u^3 + 1622*u^4 + 1594*u^5 + 15106*u^6 + 16*u^7 + 15336*u^8 - 26404*u^9 + 10064*u^10 + 4132*u^11 + 92770*u^12 + 126788*u^13 + 184628*u^14 + 169616*u^15 + 143223*u^16 + 90571*u^17 + 48744*u^18 + 19492*u^19 + 4754*u^20 - 308*u^21 - 1340*u^22 - 922*u^23 - 331*u^24 - 141*u^25 + 14*u^26 - 2*u^27 + 11*u^28 + u^29 + u^30", "1 - 9*u + 46*u^2 - 146*u^3 + 224*u^4 - 22*u^5 - 256*u^6 - 110*u^7 + 508*u^8 + 168*u^9 - 126*u^10 - 674*u^11 + 270*u^12 + 550*u^13 + 22*u^14 - 852*u^15 - 179*u^16 + 537*u^17 + 564*u^18 - 274*u^19 - 380*u^20 - 56*u^21 + 326*u^22 + 118*u^23 - 115*u^24 - 53*u^25 + 38*u^26 + 22*u^27 - 9*u^28 - 3*u^29 + u^30", "1 + u + 2*u^2 - 6*u^3 - 2*u^4 - 14*u^5 + 34*u^6 + 32*u^7 + 168*u^8 + 134*u^9 + 314*u^10 + 148*u^11 + 334*u^12 + 72*u^13 + 272*u^14 + 14*u^15 + 217*u^16 + 3*u^17 + 100*u^18 - 52*u^19 + 58*u^20 + 30*u^21 + 66*u^22 + 34*u^23 + 47*u^24 + 31*u^25 + 22*u^26 + 10*u^27 + 7*u^28 + 3*u^29 + u^30", "1 - 9*u + 28*u^2 - 56*u^3 - 20*u^4 + 212*u^5 + 7860*u^6 + 10148*u^7 + 18070*u^8 + 23046*u^9 - 137540*u^10 - 68040*u^11 + 208782*u^12 - 273078*u^13 + 111366*u^14 - 11032*u^15 + 108049*u^16 + 84627*u^17 + 135188*u^18 + 74184*u^19 + 63342*u^20 + 12334*u^21 + 16182*u^22 - 16072*u^23 + 9237*u^24 - 6353*u^25 + 2390*u^26 - 688*u^27 + 181*u^28 - 23*u^29 + u^30", "1 - 11*u - 64*u^2 + 1616*u^3 + 19236*u^4 + 97784*u^5 + 314152*u^6 + 483276*u^7 + 597770*u^8 + 663162*u^9 + 711716*u^10 + 619580*u^11 + 575774*u^12 + 700554*u^13 + 891594*u^14 + 838404*u^15 + 719013*u^16 + 482033*u^17 + 376704*u^18 + 251500*u^19 + 273882*u^20 + 231702*u^21 + 195238*u^22 + 118952*u^23 + 59297*u^24 + 23705*u^25 + 7206*u^26 + 1716*u^27 + 289*u^28 + 27*u^29 + u^30", "59 - 305*u + 592*u^2 - 1752*u^3 + 2952*u^4 + 5318*u^5 - 17324*u^6 + 13346*u^7 + 19704*u^8 - 53440*u^9 + 55482*u^10 + 33986*u^11 - 161688*u^12 + 82264*u^13 + 183900*u^14 - 175234*u^15 - 122259*u^16 + 157873*u^17 + 61100*u^18 - 85358*u^19 - 26864*u^20 + 29562*u^21 + 9656*u^22 - 6494*u^23 - 2431*u^24 + 849*u^25 + 384*u^26 - 52*u^27 - 31*u^28 + u^29 + u^30", "1 + 11*u + 56*u^2 + 174*u^3 + 360*u^4 + 490*u^5 + 340*u^6 - 220*u^7 - 1010*u^8 - 1590*u^9 - 1454*u^10 - 568*u^11 + 446*u^12 + 652*u^13 + 378*u^14 + 372*u^15 + 637*u^16 + 721*u^17 + 740*u^18 + 726*u^19 + 752*u^20 + 616*u^21 + 334*u^22 + 56*u^23 - 5*u^24 + 43*u^25 + 34*u^26 - 4*u^27 - 11*u^28 - u^29 + u^30", "1 - 5*u + 10*u^2 + 10*u^3 - 66*u^4 + 30*u^5 + 158*u^6 - 118*u^7 - 232*u^8 + 180*u^9 + 250*u^10 - 242*u^11 - 112*u^12 + 352*u^13 - 212*u^14 - 362*u^15 + 463*u^16 + 161*u^17 - 392*u^18 + 84*u^19 + 126*u^20 - 170*u^21 + 54*u^22 + 116*u^23 - 75*u^24 - 45*u^25 + 36*u^26 + 10*u^27 - 9*u^28 - u^29 + u^30", "1 + u - 2*u^2 + 2*u^3 + 10*u^4 + 2*u^5 + 14*u^6 + 14*u^7 - 90*u^8 - 148*u^9 + 16*u^10 + 208*u^11 + 86*u^12 - 258*u^13 - 292*u^14 - 30*u^15 + 289*u^16 + 459*u^17 + 512*u^18 + 352*u^19 + 110*u^20 + 14*u^21 + 104*u^22 + 162*u^23 + 105*u^24 + 27*u^25 + 4*u^26 + 10*u^27 + 11*u^28 + 5*u^29 + u^30", "317 + 1025*u - 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u^29 + u^30", "10369 - 44921*u - 16080*u^2 + 419452*u^3 - 671392*u^4 - 992272*u^5 + 5361880*u^6 - 9924410*u^7 + 11360636*u^8 - 9389866*u^9 + 6293472*u^10 - 3670374*u^11 + 1674760*u^12 - 365200*u^13 - 161558*u^14 + 181624*u^15 - 61133*u^16 - 4633*u^17 + 15256*u^18 - 23722*u^19 + 21914*u^20 - 8716*u^21 + 3720*u^22 - 2754*u^23 + 699*u^24 - 145*u^25 + 166*u^26 - 18*u^27 + 7*u^28 - u^29 + u^30", "97 - 421*u + 278*u^2 + 460*u^3 + 866*u^4 - 2556*u^5 - 5880*u^6 - 9300*u^7 + 12848*u^8 + 65140*u^9 + 168596*u^10 + 292878*u^11 + 427162*u^12 + 512042*u^13 + 546044*u^14 + 501462*u^15 + 418763*u^16 + 301255*u^17 + 200514*u^18 + 113672*u^19 + 61168*u^20 + 27106*u^21 + 12078*u^22 + 4308*u^23 + 1843*u^24 + 595*u^25 + 234*u^26 + 46*u^27 + 13*u^28 + u^29 + u^30", "139 + 407*u + 526*u^2 + 2016*u^3 + 7734*u^4 + 11798*u^5 - 4488*u^6 - 30814*u^7 - 50186*u^8 - 76998*u^9 - 64506*u^10 + 18990*u^11 + 99772*u^12 + 201062*u^13 + 293698*u^14 + 112922*u^15 + 405465*u^16 + 279821*u^17 + 410918*u^18 + 211282*u^19 + 207044*u^20 + 66510*u^21 + 56670*u^22 + 10042*u^23 + 9075*u^24 + 659*u^25 + 860*u^26 + 4*u^27 + 45*u^28 - u^29 + u^30", "577 + 1047*u + 1092*u^2 + 7294*u^3 + 15140*u^4 + 21180*u^5 + 37628*u^6 + 14230*u^7 - 32312*u^8 - 58282*u^9 - 81466*u^10 - 39144*u^11 + 89626*u^12 + 73952*u^13 - 24920*u^14 - 36006*u^15 + 81439*u^16 + 138595*u^17 + 51160*u^18 - 47214*u^19 - 51944*u^20 - 4164*u^21 + 17692*u^22 + 4936*u^23 - 3483*u^24 - 1059*u^25 + 448*u^26 + 94*u^27 - 33*u^28 - 3*u^29 + u^30", "1 - 5*u + 20*u^2 - 20*u^3 - 172*u^4 + 908*u^5 - 1376*u^6 - 3048*u^7 + 16418*u^8 - 33938*u^9 + 46924*u^10 - 48652*u^11 + 46170*u^12 - 57222*u^13 + 33174*u^14 - 3972*u^15 + 38673*u^16 + 10515*u^17 + 34108*u^18 - 3492*u^19 + 25002*u^20 - 9390*u^21 + 11362*u^22 - 4068*u^23 + 2753*u^24 - 761*u^25 + 374*u^26 - 72*u^27 + 29*u^28 - 3*u^29 + u^30" ], "Multiplicity":1, "MinRepresentationVolume":[ "{21, 22}", 9.583e-2 ], "ij_list":[ [ "{3, 7}", "{4, 6}", "{4, 7}" ], [ "{3, 4}", "{3, 5}", "{6, 7}" ], [ "{4, 5}" ], [ "{3, 6}", "{5, 7}" ], [ "{5, 6}" ], [ "{1, 2}", "{7, 8}" ], [ "{5, 8}" ], [ "{6, 8}", "{6, 9}" ], [ "{2, 5}", "{2, 6}" ], [ "{1, 9}" ], [ "{8, 9}" ], [ "{1, 6}" ], [ "{1, 5}", "{5, 9}" ], [ "{1, 7}", "{1, 8}", "{2, 8}" ], [ "{2, 9}", "{3, 9}" ], [ "{7, 9}" ], [ "{4, 9}" ], [ "{4, 8}" ], [ "{3, 8}" ], [ "{1, 3}" ], [ "{1, 4}" ], [ "{2, 4}" ], [ "{2, 3}", "{2, 7}" ] ], "SortedReprnIndices":"{25, 26, 2, 1, 19, 20, 28, 27, 13, 14, 24, 23, 16, 15, 10, 9, 6, 5, 8, 7, 18, 17, 12, 11, 3, 4, 30, 29, 22, 21}", "aCuspShapeN":[ "1.0919073013265215299`4.484202553121595 + 4.9449335661525888043`5.140177244439762*I", "1.0919073013265215299`4.484202553121595 - 4.9449335661525888043`5.140177244439762*I", "-7.9741383981057531655`5.142900096362455 - 1.5064590560769300994`4.419173659929141*I", "-7.9741383981057531655`5.142900096362455 + 1.5064590560769300994`4.419173659929141*I", "7.1504982633214098417`4.822225545493306 - 13.4441097578590060656`5.096421289386732*I", "7.1504982633214098417`4.822225545493306 + 13.4441097578590060656`5.096421289386732*I", "4.7978844683464745258`5.1064936194127455 + 2.2745047788375037429`4.7823306869783195*I", "4.7978844683464745258`5.1064936194127455 - 2.2745047788375037429`4.7823306869783195*I", "2.7455881168620509305`5.080607964098699 + 1.6920340595461557431`4.87038167844604*I", "2.7455881168620509305`5.080607964098699 - 1.6920340595461557431`4.87038167844604*I", "-4.7299162709298820698`4.860844008396391 + 7.9092034104684143275`5.084123300436639*I", "-4.7299162709298820698`4.860844008396391 - 7.9092034104684143275`5.084123300436639*I", "-5.6206396876330550802`4.923399166348868 - 7.636583450507721942`5.056512522679682*I", "-5.6206396876330550802`4.923399166348868 + 7.636583450507721942`5.056512522679682*I", "5.7071687514629584592`4.94522983119221 + 7.1596507030632516188`5.043700952046721*I", "5.7071687514629584592`4.94522983119221 - 7.1596507030632516188`5.043700952046721*I", "-3.4091130423846989088`4.954596745159131 + 4.1264509613577901096`5.037532031302072*I", "-3.4091130423846989088`4.954596745159131 - 4.1264509613577901096`5.037532031302072*I", "1.4039449174949448036`4.40237584292616 - 7.7348246133801095545`5.143476244497404*I", "1.4039449174949448036`4.40237584292616 + 7.7348246133801095545`5.143476244497404*I", "7.7539836451052376196`5.148119857848973 - 0.816604641198160943`4.170606821121856*I", "7.7539836451052376196`5.148119857848973 + 0.816604641198160943`4.170606821121856*I", "-5.5554622180681603243`5.02328272719392 + 4.9585554406451958094`4.973917702189368*I", "-5.5554622180681603243`5.02328272719392 - 4.9585554406451958094`4.973917702189368*I", "-1.3493898037038787223`4.351994022811778 - 8.3771441850351603718`5.144952589068395*I", "-1.3493898037038787223`4.351994022811778 + 8.3771441850351603718`5.144952589068395*I", "-0.1299413130914646906`3.294568007318143 + 9.3250695889191681802`5.150472837648331*I", "-0.1299413130914646906`3.294568007318143 - 9.3250695889191681802`5.150472837648331*I", "-1.8823747300027117657`4.983995386072252 + 2.0212323950431727587`5.014905552285866*I", "-1.8823747300027117657`4.983995386072252 - 2.0212323950431727587`5.014905552285866*I" ], "Abelian":false }, { "IdealName":"abJ9_33_1", "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":4.9271e-2, "TimingZeroDimVars":4.7505e-2, "TimingmagmaVCompNormalize":4.868e-2, "TimingNumberOfSols":1.8831e-2, "TimingIsRadical":1.353e-3, "TimingArcColoring":4.2569e-2, "TimingObstruction":3.77e-4, "TimingComplexVolumeN":0.387111, "TimingaCuspShapeN":4.471e-3, "TiminguValues":0.573461, "TiminguPolysN":7.000000000000002e-5, "TiminguPolys":0.724238, "TimingaCuspShape":8.8202e-2, "TimingRepresentationsN":2.1240000000000002e-2, "TiminguValues_ij":0.101157, "TiminguPoly_ij":0.115686, "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}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "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}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{6, 7}", "{6, 8}", "{6, 9}", "{7, 8}", "{7, 9}", "{8, 9}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "1 - 5*u + 10*u^2 + 10*u^3 - 66*u^4 + 30*u^5 + 158*u^6 - 118*u^7 - 232*u^8 + 180*u^9 + 250*u^10 - 242*u^11 - 112*u^12 + 352*u^13 - 212*u^14 - 362*u^15 + 463*u^16 + 161*u^17 - 392*u^18 + 84*u^19 + 126*u^20 - 170*u^21 + 54*u^22 + 116*u^23 - 75*u^24 - 45*u^25 + 36*u^26 + 10*u^27 - 9*u^28 - u^29 + u^30", "1 + u - 2*u^2 + 2*u^3 + 10*u^4 + 2*u^5 + 14*u^6 + 14*u^7 - 90*u^8 - 148*u^9 + 16*u^10 + 208*u^11 + 86*u^12 - 258*u^13 - 292*u^14 - 30*u^15 + 289*u^16 + 459*u^17 + 512*u^18 + 352*u^19 + 110*u^20 + 14*u^21 + 104*u^22 + 162*u^23 + 105*u^24 + 27*u^25 + 4*u^26 + 10*u^27 + 11*u^28 + 5*u^29 + u^30", "1 + 3*u + 6*u^2 + 6*u^3 + 12*u^4 + 2*u^5 + 14*u^6 - 12*u^7 + 12*u^8 - 24*u^9 + 32*u^10 - 6*u^11 + 84*u^12 + 42*u^13 + 152*u^14 + 102*u^15 + 201*u^16 + 133*u^17 + 208*u^18 + 126*u^19 + 176*u^20 + 90*u^21 + 120*u^22 + 50*u^23 + 65*u^24 + 21*u^25 + 26*u^26 + 6*u^27 + 7*u^28 + u^29 + u^30", "1 + 3*u + 24*u^2 + 124*u^3 + 384*u^4 + 828*u^5 + 1408*u^6 + 2188*u^7 + 3614*u^8 + 6686*u^9 + 12928*u^10 + 23840*u^11 + 39934*u^12 + 59814*u^13 + 80402*u^14 + 98016*u^15 + 109581*u^16 + 113079*u^17 + 107764*u^18 + 94396*u^19 + 75414*u^20 + 54434*u^21 + 35122*u^22 + 20008*u^23 + 9913*u^24 + 4191*u^25 + 1474*u^26 + 416*u^27 + 89*u^28 + 13*u^29 + u^30", "1 + u + 2*u^2 - 6*u^3 - 2*u^4 - 14*u^5 + 34*u^6 + 32*u^7 + 168*u^8 + 134*u^9 + 314*u^10 + 148*u^11 + 334*u^12 + 72*u^13 + 272*u^14 + 14*u^15 + 217*u^16 + 3*u^17 + 100*u^18 - 52*u^19 + 58*u^20 + 30*u^21 + 66*u^22 + 34*u^23 + 47*u^24 + 31*u^25 + 22*u^26 + 10*u^27 + 7*u^28 + 3*u^29 + u^30", "1 + 3*u + 6*u^2 + 6*u^3 + 12*u^4 + 2*u^5 + 14*u^6 - 12*u^7 + 12*u^8 - 24*u^9 + 32*u^10 - 6*u^11 + 84*u^12 + 42*u^13 + 152*u^14 + 102*u^15 + 201*u^16 + 133*u^17 + 208*u^18 + 126*u^19 + 176*u^20 + 90*u^21 + 120*u^22 + 50*u^23 + 65*u^24 + 21*u^25 + 26*u^26 + 6*u^27 + 7*u^28 + u^29 + u^30", "1 - 5*u + 10*u^2 + 10*u^3 - 66*u^4 + 30*u^5 + 158*u^6 - 118*u^7 - 232*u^8 + 180*u^9 + 250*u^10 - 242*u^11 - 112*u^12 + 352*u^13 - 212*u^14 - 362*u^15 + 463*u^16 + 161*u^17 - 392*u^18 + 84*u^19 + 126*u^20 - 170*u^21 + 54*u^22 + 116*u^23 - 75*u^24 - 45*u^25 + 36*u^26 + 10*u^27 - 9*u^28 - u^29 + u^30", "1 - 9*u + 46*u^2 - 146*u^3 + 224*u^4 - 22*u^5 - 256*u^6 - 110*u^7 + 508*u^8 + 168*u^9 - 126*u^10 - 674*u^11 + 270*u^12 + 550*u^13 + 22*u^14 - 852*u^15 - 179*u^16 + 537*u^17 + 564*u^18 - 274*u^19 - 380*u^20 - 56*u^21 + 326*u^22 + 118*u^23 - 115*u^24 - 53*u^25 + 38*u^26 + 22*u^27 - 9*u^28 - 3*u^29 + u^30", "1 + 11*u + 56*u^2 + 174*u^3 + 360*u^4 + 490*u^5 + 340*u^6 - 220*u^7 - 1010*u^8 - 1590*u^9 - 1454*u^10 - 568*u^11 + 446*u^12 + 652*u^13 + 378*u^14 + 372*u^15 + 637*u^16 + 721*u^17 + 740*u^18 + 726*u^19 + 752*u^20 + 616*u^21 + 334*u^22 + 56*u^23 - 5*u^24 + 43*u^25 + 34*u^26 - 4*u^27 - 11*u^28 - u^29 + u^30" ], "RileyPolyC":[ "1 - 5*y + 68*y^2 - 804*y^3 + 5272*y^4 - 21736*y^5 + 61424*y^6 - 125340*y^7 + 190634*y^8 - 216714*y^9 + 168304*y^10 - 40708*y^11 - 109658*y^12 + 162318*y^13 - 29114*y^14 - 211856*y^15 + 348925*y^16 - 256353*y^17 + 29328*y^18 + 138540*y^19 - 157554*y^20 + 83382*y^21 - 9910*y^22 - 21160*y^23 + 20469*y^24 - 10805*y^25 + 3886*y^26 - 988*y^27 + 173*y^28 - 19*y^29 + y^30", "1 - 5*y + 20*y^2 - 20*y^3 - 172*y^4 + 908*y^5 - 1376*y^6 - 3048*y^7 + 16418*y^8 - 33938*y^9 + 46924*y^10 - 48652*y^11 + 46170*y^12 - 57222*y^13 + 33174*y^14 - 3972*y^15 + 38673*y^16 + 10515*y^17 + 34108*y^18 - 3492*y^19 + 25002*y^20 - 9390*y^21 + 11362*y^22 - 4068*y^23 + 2753*y^24 - 761*y^25 + 374*y^26 - 72*y^27 + 29*y^28 - 3*y^29 + y^30", "1 + 3*y + 24*y^2 + 124*y^3 + 384*y^4 + 828*y^5 + 1408*y^6 + 2188*y^7 + 3614*y^8 + 6686*y^9 + 12928*y^10 + 23840*y^11 + 39934*y^12 + 59814*y^13 + 80402*y^14 + 98016*y^15 + 109581*y^16 + 113079*y^17 + 107764*y^18 + 94396*y^19 + 75414*y^20 + 54434*y^21 + 35122*y^22 + 20008*y^23 + 9913*y^24 + 4191*y^25 + 1474*y^26 + 416*y^27 + 89*y^28 + 13*y^29 + y^30", "1 + 39*y + 600*y^2 + 904*y^3 + 3796*y^4 + 12348*y^5 + 33932*y^6 + 52800*y^7 + 55070*y^8 + 57018*y^9 + 210868*y^10 + 620064*y^11 + 1362362*y^12 + 2193162*y^13 + 2816578*y^14 + 2933644*y^15 + 2528701*y^16 + 1793611*y^17 + 1030188*y^18 + 452944*y^19 + 129730*y^20 + 2946*y^21 - 21018*y^22 - 12980*y^23 - 3995*y^24 - 353*y^25 + 314*y^26 + 176*y^27 + 53*y^28 + 9*y^29 + y^30", "1 + 3*y + 12*y^2 + 52*y^3 + 244*y^4 + 1084*y^5 + 4616*y^6 + 16408*y^7 + 46166*y^8 + 102946*y^9 + 185224*y^10 + 273168*y^11 + 335790*y^12 + 349866*y^13 + 316046*y^14 + 252116*y^15 + 186689*y^16 + 134619*y^17 + 101236*y^18 + 73176*y^19 + 53954*y^20 + 32818*y^21 + 18830*y^22 + 8596*y^23 + 3729*y^24 + 1287*y^25 + 450*y^26 + 116*y^27 + 33*y^28 + 5*y^29 + y^30", "1 + 3*y + 24*y^2 + 124*y^3 + 384*y^4 + 828*y^5 + 1408*y^6 + 2188*y^7 + 3614*y^8 + 6686*y^9 + 12928*y^10 + 23840*y^11 + 39934*y^12 + 59814*y^13 + 80402*y^14 + 98016*y^15 + 109581*y^16 + 113079*y^17 + 107764*y^18 + 94396*y^19 + 75414*y^20 + 54434*y^21 + 35122*y^22 + 20008*y^23 + 9913*y^24 + 4191*y^25 + 1474*y^26 + 416*y^27 + 89*y^28 + 13*y^29 + y^30", "1 - 5*y + 68*y^2 - 804*y^3 + 5272*y^4 - 21736*y^5 + 61424*y^6 - 125340*y^7 + 190634*y^8 - 216714*y^9 + 168304*y^10 - 40708*y^11 - 109658*y^12 + 162318*y^13 - 29114*y^14 - 211856*y^15 + 348925*y^16 - 256353*y^17 + 29328*y^18 + 138540*y^19 - 157554*y^20 + 83382*y^21 - 9910*y^22 - 21160*y^23 + 20469*y^24 - 10805*y^25 + 3886*y^26 - 988*y^27 + 173*y^28 - 19*y^29 + y^30", "1 + 11*y - 64*y^2 - 1616*y^3 + 19236*y^4 - 97784*y^5 + 314152*y^6 - 483276*y^7 + 597770*y^8 - 663162*y^9 + 711716*y^10 - 619580*y^11 + 575774*y^12 - 700554*y^13 + 891594*y^14 - 838404*y^15 + 719013*y^16 - 482033*y^17 + 376704*y^18 - 251500*y^19 + 273882*y^20 - 231702*y^21 + 195238*y^22 - 118952*y^23 + 59297*y^24 - 23705*y^25 + 7206*y^26 - 1716*y^27 + 289*y^28 - 27*y^29 + y^30", "1 - 9*y + 28*y^2 - 56*y^3 - 20*y^4 + 212*y^5 + 7860*y^6 + 10148*y^7 + 18070*y^8 + 23046*y^9 - 137540*y^10 - 68040*y^11 + 208782*y^12 - 273078*y^13 + 111366*y^14 - 11032*y^15 + 108049*y^16 + 84627*y^17 + 135188*y^18 + 74184*y^19 + 63342*y^20 + 12334*y^21 + 16182*y^22 - 16072*y^23 + 9237*y^24 - 6353*y^25 + 2390*y^26 - 688*y^27 + 181*y^28 - 23*y^29 + y^30" ] }, "GeometricRepresentation":[ 1.32805e1, [ "J9_33_0", 1, "{25, 26}" ] ] } }