{ "Index":166, "Name":"10_82", "RolfsenName":"10_82", "DTname":"10a_83", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-12, 14, 18, 20, -2, -16, 8, -10, 4, 6}", "Acode":"{-7, 8, 10, 1, -2, -9, 5, -6, 3, 4}", "PDcode":[ "{1, 12, 2, 13}", "{3, 15, 4, 14}", "{5, 19, 6, 18}", "{7, 1, 8, 20}", "{9, 2, 10, 3}", "{11, 16, 12, 17}", "{13, 9, 14, 8}", "{15, 10, 16, 11}", "{17, 5, 18, 4}", "{19, 7, 20, 6}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{5, 1, 8}", [], [ "{5, 1, 4, 2}", "{8, 5, 7, 2}", "{1, -7, 2, 1}", "{5, -2, 6, 1}", "{1, 4, 10, 2}", "{4, 10, 3, 2}", "{10, 3, 9, 2}" ], "{2, 8}", "{6}", 6 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 + 2*a*b*u + b^2*u + a^2*b^2*u + a*b^3*u + u^2", "u + b^2*u + a*b^3*u + b^4*u + 2*u^2 - u^4", "a + b - 2*u + a*u^2 - 2*a*b^2*u^2 - a^3*b^2*u^2 - 2*b^3*u^2 - 4*a^2*b^3*u^2 - 5*a*b^4*u^2 - 2*b^5*u^2 + u^3 - a^3*u^4 - 2*a^2*b*u^4 - 2*a^4*b*u^4 - a*b^2*u^4 - 5*a^3*b^2*u^4 - a^5*b^2*u^4 - 3*a^2*b^3*u^4 - 2*a^4*b^3*u^4 + a*b^4*u^4 + 2*a^3*b^4*u^4 + a^5*b^4*u^4 + b^5*u^4 + 8*a^2*b^5*u^4 + 5*a^4*b^5*u^4 + 7*a*b^6*u^4 + 10*a^3*b^6*u^4 + 2*b^7*u^4 + 10*a^2*b^7*u^4 + 5*a*b^8*u^4 + b^9*u^4", "b - u - b*u^2 - 2*a*b^2*u^2 - 2*b^3*u^2 - a^2*b^3*u^2 - 2*a*b^4*u^2 - b^5*u^2 + 3*u^3 - a*u^4 - 3*a^2*b*u^4 - 2*a*b^2*u^4 - 3*a^3*b^2*u^4 + b^3*u^4 - 3*a^2*b^3*u^4 - a^4*b^3*u^4 + 3*a*b^4*u^4 + 3*b^5*u^4 + 6*a^2*b^5*u^4 + a^4*b^5*u^4 + 8*a*b^6*u^4 + 4*a^3*b^6*u^4 + 3*b^7*u^4 + 6*a^2*b^7*u^4 + 4*a*b^8*u^4 + b^9*u^4 - u^5" ], "TimingForPrimaryIdeals":0.131143 }, "v":{ "CheckEq":[ "-(b^4*v)", "-1 + v - b^2*v - a*b^3*v", "b - b^5*v^2 - b^7*v^4 + b^9*v^4", "a + b - v + 2*b^3*v^2 - a*b^4*v^2 - 2*b^5*v^2 + b^5*v^4 - a*b^6*v^4 - 2*b^7*v^4 + a*b^8*v^4 + b^9*v^4" ], "TimingForPrimaryIdeals":9.4787e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_82_0", "Generators":[ "1796669401 + 15215838414*b - 31605141198*u - 9872689058*u^2 + 79109093912*u^3 + 81658396332*u^4 + 155139464202*u^5 - 398763836856*u^6 - 567814372412*u^7 + 1209235596144*u^8 + 556613561106*u^9 - 2141726653684*u^10 + 719583409074*u^11 + 2156446999942*u^12 - 3749131939198*u^13 + 160560581888*u^14 + 7879463546984*u^15 - 4294405658059*u^16 - 10572088566018*u^17 + 7434965022202*u^18 + 10027303402456*u^19 - 7146123831800*u^20 - 6922512193262*u^21 + 4313045976510*u^22 + 3420307937656*u^23 - 1658325923461*u^24 - 1160794098948*u^25 + 394081777518*u^26 + 254380114136*u^27 - 52799906339*u^28 - 32240619298*u^29 + 3053908485*u^30 + 1790814371*u^31", "29865915991 + 5071946138*a - 46261636604*u + 7064725506*u^2 + 112951725308*u^3 - 231443573296*u^4 + 783613203046*u^5 - 737322348196*u^6 - 2862596731848*u^7 + 5644688083568*u^8 + 4190216038800*u^9 - 12542237000036*u^10 - 544380387154*u^11 + 15199588556142*u^12 - 13261631193232*u^13 - 5684280545664*u^14 + 36380397607884*u^15 - 14035371421777*u^16 - 54564030414194*u^17 + 30168049800998*u^18 + 54527630401724*u^19 - 30532408021012*u^20 - 38328081020286*u^21 + 18755806980118*u^22 + 18943637424496*u^23 - 7257999401363*u^24 - 6393404989476*u^25 + 1728298673222*u^26 + 1393647879380*u^27 - 231595911489*u^28 - 176146958742*u^29 + 13386015963*u^30 + 9786061617*u^31", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.0674e-2, "TimingZeroDimVars":0.11145, "TimingmagmaVCompNormalize":0.113022, "TimingNumberOfSols":0.32977, "TimingIsRadical":4.8976e-2, "TimingArcColoring":7.423199999999999e-2, "TimingObstruction":0.111465, "TimingComplexVolumeN":3.0296004e1, "TimingaCuspShapeN":0.217511, "TiminguValues":0.687549, "TiminguPolysN":0.144494, "TiminguPolys":1.003888, "TimingaCuspShape":0.159165, "TimingRepresentationsN":0.319393, "TiminguValues_ij":0.229742, "TiminguPoly_ij":3.005805, "TiminguPolys_ij_N":0.356243 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":32, "IsRadical":true, "ArcColoring":[ [ 0, "u" ], [ "(103553838 + 259128576*u + 551730796*u^2 - 16491584057*u^3 + 14539733788*u^4 - 5579492148*u^5 + 34562351800*u^6 + 126686200012*u^7 - 376119287064*u^8 - 260054075332*u^9 + 860853547536*u^10 + 157629526518*u^11 - 1020161273552*u^12 + 650711698600*u^13 + 282286770628*u^14 - 2334238396974*u^15 + 1214054403290*u^16 + 3896415787396*u^17 - 2449640036612*u^18 - 4143905622437*u^19 + 2466701622176*u^20 + 3027733284476*u^21 - 1519739312876*u^22 - 1531227912346*u^23 + 590359130374*u^24 + 523282533388*u^25 - 141048388752*u^26 - 114747659061*u^27 + 18951735558*u^28 + 14533373664*u^29 - 1097759282*u^30 - 807291134*u^31)\/362281867", "(-15206428399 + 19519053894*u - 23851457458*u^2 - 106707543146*u^3 + 264752709360*u^4 - 312698246106*u^5 - 63856371684*u^6 + 1586167977128*u^7 - 3595393619532*u^8 - 3292486099956*u^9 + 10422890869924*u^10 + 2670091338174*u^11 - 14850369931966*u^12 + 5210456739664*u^13 + 8057386525804*u^14 - 24873073196486*u^15 + 9603856408261*u^16 + 46804313449068*u^17 - 26420289889366*u^18 - 54866339357566*u^19 + 29275806739040*u^20 + 43774617624350*u^21 - 19057813769238*u^22 - 23888831515252*u^23 + 7683828771187*u^24 + 8692039157274*u^25 - 1885707834690*u^26 - 2004943300826*u^27 + 258506254565*u^28 + 264539576080*u^29 - 15206285331*u^30 - 15196289813*u^31)\/15215838414" ], [ "1 - u^2", "-2*u^2 + u^4" ], [ 1, "-u^2" ], "{1, 0}", [ "(94697532047 - 152393077014*u + 34543474382*u^2 + 478383306568*u^3 - 768805582896*u^4 + 2426000859204*u^5 - 2471682566052*u^6 - 9583900703356*u^7 + 18969501039180*u^8 + 14538980696376*u^9 - 42162346932656*u^10 - 2734919946114*u^11 + 51349571068598*u^12 - 43850210279336*u^13 - 19754564157188*u^14 + 123025671762262*u^15 - 46625079913241*u^16 - 186098249479926*u^17 + 101735022811238*u^18 + 186896156416688*u^19 - 103740522262096*u^20 - 131820755658826*u^21 + 64069201967058*u^22 + 65308770499472*u^23 - 24893071552571*u^24 - 22076016446928*u^25 + 5946043647942*u^26 + 4816476614092*u^27 - 798740411113*u^28 - 608995325054*u^29 + 46258296939*u^30 + 33833007385*u^31)\/15215838414", "-u + 3*u^3 - u^5" ], [ "(-45697208687 + 85195025505*u - 5660743730*u^2 - 208982134918*u^3 + 306336161778*u^4 - 1252989536670*u^5 + 1305365440722*u^6 + 4577802283978*u^7 - 9071649923424*u^8 - 6563630838753*u^9 + 19884218826896*u^10 + 456778876194*u^11 - 23877606334184*u^12 + 21767012759447*u^13 + 8446140527552*u^14 - 58510328185318*u^15 + 23200259961695*u^16 + 87132089904300*u^17 - 48969557212598*u^18 - 86805097303814*u^19 + 49371673947418*u^20 + 60953377627060*u^21 - 30290233458432*u^22 - 30125610105572*u^23 + 11716162063775*u^24 + 10170504533688*u^25 - 2789488898592*u^26 - 2217661876138*u^27 + 373793820403*u^28 + 280340747762*u^29 - 21605978187*u^30 - 15574499611*u^31)\/7607919207", "(-1796669401 + 31605141198*u + 9872689058*u^2 - 79109093912*u^3 - 81658396332*u^4 - 155139464202*u^5 + 398763836856*u^6 + 567814372412*u^7 - 1209235596144*u^8 - 556613561106*u^9 + 2141726653684*u^10 - 719583409074*u^11 - 2156446999942*u^12 + 3749131939198*u^13 - 160560581888*u^14 - 7879463546984*u^15 + 4294405658059*u^16 + 10572088566018*u^17 - 7434965022202*u^18 - 10027303402456*u^19 + 7146123831800*u^20 + 6922512193262*u^21 - 4313045976510*u^22 - 3420307937656*u^23 + 1658325923461*u^24 + 1160794098948*u^25 - 394081777518*u^26 - 254380114136*u^27 + 52799906339*u^28 + 32240619298*u^29 - 3053908485*u^30 - 1790814371*u^31)\/15215838414" ], [ "(-29865915991 + 46261636604*u - 7064725506*u^2 - 112951725308*u^3 + 231443573296*u^4 - 783613203046*u^5 + 737322348196*u^6 + 2862596731848*u^7 - 5644688083568*u^8 - 4190216038800*u^9 + 12542237000036*u^10 + 544380387154*u^11 - 15199588556142*u^12 + 13261631193232*u^13 + 5684280545664*u^14 - 36380397607884*u^15 + 14035371421777*u^16 + 54564030414194*u^17 - 30168049800998*u^18 - 54527630401724*u^19 + 30532408021012*u^20 + 38328081020286*u^21 - 18755806980118*u^22 - 18943637424496*u^23 + 7257999401363*u^24 + 6393404989476*u^25 - 1728298673222*u^26 - 1393647879380*u^27 + 231595911489*u^28 + 176146958742*u^29 - 13386015963*u^30 - 9786061617*u^31)\/5071946138", "(-1796669401 + 31605141198*u + 9872689058*u^2 - 79109093912*u^3 - 81658396332*u^4 - 155139464202*u^5 + 398763836856*u^6 + 567814372412*u^7 - 1209235596144*u^8 - 556613561106*u^9 + 2141726653684*u^10 - 719583409074*u^11 - 2156446999942*u^12 + 3749131939198*u^13 - 160560581888*u^14 - 7879463546984*u^15 + 4294405658059*u^16 + 10572088566018*u^17 - 7434965022202*u^18 - 10027303402456*u^19 + 7146123831800*u^20 + 6922512193262*u^21 - 4313045976510*u^22 - 3420307937656*u^23 + 1658325923461*u^24 + 1160794098948*u^25 - 394081777518*u^26 - 254380114136*u^27 + 52799906339*u^28 + 32240619298*u^29 - 3053908485*u^30 - 1790814371*u^31)\/15215838414" ], [ "2*u - u^3", "u - 3*u^3 + u^5" ], [ "u", "u - u^3" ] ], "Obstruction":-1, "ComplexVolumeN":[ "0.60537 - 9.6126*I", "0.60537 + 9.6126*I", "-2.75563 - 4.13382*I", "-2.75563 + 4.13382*I", "-1.27204 + 1.92248*I", "-1.27204 - 1.92248*I", "-0.800175 - 0.941991*I", "-0.800175 + 0.941991*I", -1.36694, "2.78249 + 5.16401*I", "2.78249 - 5.16401*I", "1.86601 - 2.61443*I", "1.86601 + 2.61443*I", "0.576409 + 0.313871*I", "0.576409 - 0.313871*I", "-0.227616 + 1.39437*I", "-0.227616 - 1.39437*I", -3.7339, "-5.46664 + 3.8179*I", "-5.46664 - 3.8179*I", "-7.09081 - 0.79638*I", "-7.09081 + 0.79638*I", "2.64104 + 0.25879*I", "2.64104 - 0.25879*I", "-8.99388 - 4.78654*I", "-8.99388 + 4.78654*I", "-11.1579 + 5.83644*I", "-11.1579 - 5.83644*I", "-7.8166 + 12.4315*I", "-7.8166 - 12.4315*I", "-10.5101 - 0.53898*I", "-10.5101 + 0.53898*I" ], "uPolysN":[ "8 + 12*u + 24*u^2 + 141*u^3 + 113*u^4 + 183*u^5 + 824*u^6 + 33*u^7 + 578*u^8 + 1196*u^9 - 1145*u^10 + 1823*u^11 - 2731*u^12 + 2368*u^13 - 4129*u^14 + 2332*u^15 - 3514*u^16 + 1095*u^17 - 1741*u^18 + 866*u^19 + 189*u^20 + 242*u^21 + 630*u^22 - 5*u^23 + 677*u^24 + 49*u^25 + 256*u^26 + 16*u^27 + 87*u^28 + 15*u^29 + 17*u^30 + 2*u^31 + u^32", "-1 + 13*u - 24*u^2 - 58*u^3 + 54*u^4 + 332*u^5 + 136*u^6 - 338*u^7 + 76*u^8 + 1566*u^9 + 1540*u^10 - 230*u^11 + 72*u^12 + 580*u^13 + 1566*u^14 + 732*u^15 + 85*u^16 + 9*u^17 + 464*u^18 - 1154*u^19 + 30*u^20 + 426*u^21 + 6*u^22 - 602*u^23 + 105*u^24 + 7*u^25 + 76*u^26 - 50*u^27 + 31*u^28 - 11*u^29 + 11*u^30 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "-1 + u + 2*u^2 - 10*u^3 - 2*u^4 + 22*u^5 + 24*u^6 - 44*u^7 - 118*u^8 + 158*u^9 + 214*u^10 - 392*u^11 - 184*u^12 + 568*u^13 + 96*u^14 - 602*u^15 + 25*u^16 + 483*u^17 - 28*u^18 - 364*u^19 + 118*u^20 + 118*u^21 + 22*u^22 - 98*u^23 + 9*u^24 + 39*u^25 + 10*u^26 - 26*u^27 + 5*u^28 + 7*u^29 - u^30 - 2*u^31 + u^32", "-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32", "2 - 6*u + u^2 - 27*u^3 + 70*u^4 + 91*u^5 - 227*u^6 - 262*u^7 + 410*u^8 + 785*u^9 - 867*u^10 - 1391*u^11 + 1512*u^12 + 1826*u^13 - 2280*u^14 - 1864*u^15 + 3414*u^16 + 279*u^17 - 2900*u^18 + 908*u^19 + 1664*u^20 - 1362*u^21 - 196*u^22 + 612*u^23 - 78*u^24 - 257*u^25 + 160*u^26 - 4*u^27 - 30*u^28 + 5*u^29 + 8*u^30 - 5*u^31 + u^32", "-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32" ], "uPolys":[ "8 + 12*u + 24*u^2 + 141*u^3 + 113*u^4 + 183*u^5 + 824*u^6 + 33*u^7 + 578*u^8 + 1196*u^9 - 1145*u^10 + 1823*u^11 - 2731*u^12 + 2368*u^13 - 4129*u^14 + 2332*u^15 - 3514*u^16 + 1095*u^17 - 1741*u^18 + 866*u^19 + 189*u^20 + 242*u^21 + 630*u^22 - 5*u^23 + 677*u^24 + 49*u^25 + 256*u^26 + 16*u^27 + 87*u^28 + 15*u^29 + 17*u^30 + 2*u^31 + u^32", "-1 + 13*u - 24*u^2 - 58*u^3 + 54*u^4 + 332*u^5 + 136*u^6 - 338*u^7 + 76*u^8 + 1566*u^9 + 1540*u^10 - 230*u^11 + 72*u^12 + 580*u^13 + 1566*u^14 + 732*u^15 + 85*u^16 + 9*u^17 + 464*u^18 - 1154*u^19 + 30*u^20 + 426*u^21 + 6*u^22 - 602*u^23 + 105*u^24 + 7*u^25 + 76*u^26 - 50*u^27 + 31*u^28 - 11*u^29 + 11*u^30 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "-1 + u + 2*u^2 - 10*u^3 - 2*u^4 + 22*u^5 + 24*u^6 - 44*u^7 - 118*u^8 + 158*u^9 + 214*u^10 - 392*u^11 - 184*u^12 + 568*u^13 + 96*u^14 - 602*u^15 + 25*u^16 + 483*u^17 - 28*u^18 - 364*u^19 + 118*u^20 + 118*u^21 + 22*u^22 - 98*u^23 + 9*u^24 + 39*u^25 + 10*u^26 - 26*u^27 + 5*u^28 + 7*u^29 - u^30 - 2*u^31 + u^32", "-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32", "2 - 6*u + u^2 - 27*u^3 + 70*u^4 + 91*u^5 - 227*u^6 - 262*u^7 + 410*u^8 + 785*u^9 - 867*u^10 - 1391*u^11 + 1512*u^12 + 1826*u^13 - 2280*u^14 - 1864*u^15 + 3414*u^16 + 279*u^17 - 2900*u^18 + 908*u^19 + 1664*u^20 - 1362*u^21 - 196*u^22 + 612*u^23 - 78*u^24 - 257*u^25 + 160*u^26 - 4*u^27 - 30*u^28 + 5*u^29 + 8*u^30 - 5*u^31 + u^32", "-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32" ], "aCuspShape":"-2 + (2*(23509306659 - 47441703221*u + 75494997435*u^2 + 106007586873*u^3 - 198351350751*u^4 + 600113465643*u^5 - 1154843227909*u^6 - 1451898494431*u^7 + 6279330007747*u^8 + 1070434362371*u^9 - 12393272630913*u^10 + 3105165925527*u^11 + 12124539780141*u^12 - 13816820579645*u^13 + 2822368714935*u^14 + 30454466759475*u^15 - 27274650613186*u^16 - 42930016701964*u^17 + 43827433423114*u^18 + 42383832138170*u^19 - 40405032776562*u^20 - 30331370120880*u^21 + 23760621197342*u^22 + 15506457590284*u^23 - 8986300169929*u^24 - 5434668285721*u^25 + 2112814104813*u^26 + 1227010414129*u^27 - 281082744258*u^28 - 159837343194*u^29 + 16179919463*u^30 + 9105289524*u^31))\/2535973069", "RepresentationsN":[ [ "u->0.820983 + 0.567595 I", "a->-1.27469 + 0.62091 I", "b->1.0888 + 0.850114 I" ], [ "u->0.820983 - 0.567595 I", "a->-1.27469 - 0.62091 I", "b->1.0888 - 0.850114 I" ], [ "u->0.795955 + 0.349102 I", "a->1.45784 - 0.39446 I", "b->-1.13645 - 0.835713 I" ], [ "u->0.795955 - 0.349102 I", "a->1.45784 + 0.39446 I", "b->-1.13645 + 0.835713 I" ], [ "u->-0.643643 + 0.57982 I", "a->0.109445 + 0.730653 I", "b->-0.758624 + 0.11029 I" ], [ "u->-0.643643 - 0.57982 I", "a->0.109445 - 0.730653 I", "b->-0.758624 - 0.11029 I" ], [ "u->-1.07616 + 0.444148 I", "a->-0.311615 - 0.602654 I", "b->0.691368 + 0.318391 I" ], [ "u->-1.07616 - 0.444148 I", "a->-0.311615 + 0.602654 I", "b->0.691368 - 0.318391 I" ], [ "u->-0.788048", "a->-0.997928", "b->0.333761" ], [ "u->0.102445 + 0.771273 I", "a->0.249085 - 0.151496 I", "b->0.853465 - 0.688304 I" ], [ "u->0.102445 - 0.771273 I", "a->0.249085 + 0.151496 I", "b->0.853465 + 0.688304 I" ], [ "u->0.560858 + 0.310184 I", "a->-0.155519 + 0.637386 I", "b->0.671965 - 1.14915 I" ], [ "u->0.560858 - 0.310184 I", "a->-0.155519 - 0.637386 I", "b->0.671965 + 1.14915 I" ], [ "u->-0.59875 + 0.11497 I", "a->0.25826 - 3.79474 I", "b->-0.135421 - 0.360183 I" ], [ "u->-0.59875 - 0.11497 I", "a->0.25826 + 3.79474 I", "b->-0.135421 + 0.360183 I" ], [ "u->-0.086458 + 0.449548 I", "a->-0.783456 + 0.459529 I", "b->-0.610958 + 0.536174 I" ], [ "u->-0.086458 - 0.449548 I", "a->-0.783456 - 0.459529 I", "b->-0.610958 - 0.536174 I" ], [ "u->-1.55208", "a->-2.62954", "b->1.76871" ], [ "u->-1.5785 + 0.06009 I", "a->-0.52697 - 1.39477 I", "b->0.5683 + 1.7036 I" ], [ "u->-1.5785 - 0.06009 I", "a->-0.52697 + 1.39477 I", "b->0.5683 - 1.7036 I" ], [ "u->1.60015 + 0.02565 I", "a->0.830347 + 1.07728 I", "b->-0.363802 + 0.595725 I" ], [ "u->1.60015 - 0.02565 I", "a->0.830347 - 1.07728 I", "b->-0.363802 - 0.595725 I" ], [ "u->0.269938 + 0.288721 I", "a->-2.52869 + 1.49962 I", "b->0.887931 + 0.459497 I" ], [ "u->0.269938 - 0.288721 I", "a->-2.52869 - 1.49962 I", "b->0.887931 - 0.459497 I" ], [ "u->1.61612 + 0.17777 I", "a->1.09235 - 0.316288 I", "b->-0.98594 - 0.438836 I" ], [ "u->1.61612 - 0.17777 I", "a->1.09235 + 0.316288 I", "b->-0.98594 + 0.438836 I" ], [ "u->-1.63927 + 0.0977 I", "a->2.05679 - 0.27434 I", "b->-1.51522 + 0.94459 I" ], [ "u->-1.63927 - 0.0977 I", "a->2.05679 + 0.27434 I", "b->-1.51522 - 0.94459 I" ], [ "u->-1.65031 + 0.16673 I", "a->-1.89221 + 0.0247 I", "b->1.30041 - 0.93941 I" ], [ "u->-1.65031 - 0.16673 I", "a->-1.89221 - 0.0247 I", "b->1.30041 + 0.93941 I" ], [ "u->1.67671 + 0.06666 I", "a->-1.26724 + 0.207888 I", "b->0.892941 + 0.200725 I" ], [ "u->1.67671 - 0.06666 I", "a->-1.26724 - 0.207888 I", "b->0.892941 - 0.200725 I" ] ], "Epsilon":0.593134, "uPolys_ij":[ "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "1 + 5*u + 32*u^2 + 116*u^3 - 368*u^4 - 3876*u^5 - 4104*u^6 + 69076*u^7 + 438418*u^8 + 1381418*u^9 + 2628048*u^10 + 2557992*u^11 - 1395766*u^12 - 9834318*u^13 - 17442410*u^14 - 12817564*u^15 + 14218955*u^16 + 61786349*u^17 + 112353100*u^18 + 142703464*u^19 + 140159414*u^20 + 110420814*u^21 + 70829842*u^22 + 37174672*u^23 + 15946515*u^24 + 5558905*u^25 + 1558634*u^26 + 345952*u^27 + 59347*u^28 + 7583*u^29 + 679*u^30 + 38*u^31 + u^32", "-288 + 288*u + 4525*u^2 - 10167*u^3 - 18174*u^4 + 66651*u^5 - 20573*u^6 - 1016*u^7 - 41010*u^8 - 650857*u^9 + 1458075*u^10 - 22225*u^11 - 1847460*u^12 + 927638*u^13 + 81916*u^14 + 269674*u^15 - 20546*u^16 - 502111*u^17 + 612126*u^18 - 385150*u^19 - 205904*u^20 + 358108*u^21 - 14490*u^22 - 114242*u^23 + 19388*u^24 + 19891*u^25 - 4594*u^26 - 2054*u^27 + 556*u^28 + 119*u^29 - 36*u^30 - 3*u^31 + u^32", "-937 + 1407*u - 2816*u^2 + 5456*u^3 + 39636*u^4 - 74548*u^5 - 196508*u^6 + 222140*u^7 + 497906*u^8 - 328174*u^9 - 862444*u^10 + 464404*u^11 + 922542*u^12 - 564930*u^13 - 550450*u^14 + 384846*u^15 + 235203*u^16 - 182997*u^17 - 70692*u^18 + 47556*u^19 + 40510*u^20 - 24970*u^21 - 11150*u^22 + 10422*u^23 + 743*u^24 - 2501*u^25 + 190*u^26 + 554*u^27 - 201*u^28 - 29*u^29 + 37*u^30 - 10*u^31 + u^32", "1 - 5*u + 28*u^2 - 200*u^3 + 864*u^4 - 2676*u^5 + 8152*u^6 - 25312*u^7 + 68982*u^8 - 157022*u^9 + 304112*u^10 - 514564*u^11 + 763918*u^12 - 998910*u^13 + 1154330*u^14 - 1183800*u^15 + 1082807*u^16 - 882485*u^17 + 655164*u^18 - 436588*u^19 + 275742*u^20 - 156822*u^21 + 89074*u^22 - 44288*u^23 + 22615*u^24 - 9617*u^25 + 4254*u^26 - 1488*u^27 + 543*u^28 - 143*u^29 + 39*u^30 - 6*u^31 + u^32", "-16 - 40*u + 88*u^2 - 294*u^3 - 1220*u^4 + 2845*u^5 - 12154*u^6 + 6581*u^7 - 18695*u^8 - 39208*u^9 + 33476*u^10 - 169672*u^11 + 162756*u^12 - 316366*u^13 + 312172*u^14 - 334298*u^15 + 358322*u^16 - 230566*u^17 + 262948*u^18 - 113408*u^19 + 130974*u^20 - 41111*u^21 + 45578*u^22 - 10607*u^23 + 11433*u^24 - 1770*u^25 + 2136*u^26 - 168*u^27 + 294*u^28 + u^29 + 26*u^30 + u^31 + u^32", "1 + 121*u + 1976*u^2 + 14860*u^3 + 43536*u^4 + 182188*u^5 + 364708*u^6 + 1015424*u^7 + 1616678*u^8 + 2490494*u^9 + 3452784*u^10 + 993972*u^11 + 3781918*u^12 + 599402*u^13 + 7366702*u^14 + 2366844*u^15 + 4966267*u^16 - 1388103*u^17 + 744012*u^18 - 11364*u^19 + 1337582*u^20 + 1272582*u^21 + 662794*u^22 + 443980*u^23 + 49815*u^24 + 32957*u^25 - 66*u^26 - 4688*u^27 + 1743*u^28 - 713*u^29 + 183*u^30 - 22*u^31 + u^32", "1439 - 8257*u + 25602*u^2 - 60652*u^3 + 84678*u^4 + 47730*u^5 - 429850*u^6 + 1305490*u^7 - 2928736*u^8 + 4242890*u^9 - 5929890*u^10 + 7632262*u^11 - 4850382*u^12 + 9264046*u^13 - 120174*u^14 + 7846868*u^15 + 3172327*u^16 + 4772893*u^17 + 3133196*u^18 + 2129546*u^19 + 1607516*u^20 + 664500*u^21 + 498380*u^22 + 139458*u^23 + 98053*u^24 + 19405*u^25 + 12450*u^26 + 1724*u^27 + 1001*u^28 + 89*u^29 + 47*u^30 + 2*u^31 + u^32", "-1 + 13*u - 24*u^2 - 58*u^3 + 54*u^4 + 332*u^5 + 136*u^6 - 338*u^7 + 76*u^8 + 1566*u^9 + 1540*u^10 - 230*u^11 + 72*u^12 + 580*u^13 + 1566*u^14 + 732*u^15 + 85*u^16 + 9*u^17 + 464*u^18 - 1154*u^19 + 30*u^20 + 426*u^21 + 6*u^22 - 602*u^23 + 105*u^24 + 7*u^25 + 76*u^26 - 50*u^27 + 31*u^28 - 11*u^29 + 11*u^30 + u^32", "-3833 + 16935*u - 74132*u^2 + 87376*u^3 - 166260*u^4 - 411658*u^5 + 766236*u^6 - 1720794*u^7 + 1296258*u^8 + 683604*u^9 + 836408*u^10 + 1749026*u^11 - 2024778*u^12 - 1333982*u^13 - 2381050*u^14 + 527332*u^15 + 2603785*u^16 + 92581*u^17 + 43172*u^18 - 763676*u^19 + 118164*u^20 - 285130*u^21 - 24470*u^22 - 23658*u^23 + 29499*u^24 - 6961*u^25 - 6634*u^26 - 658*u^27 + 543*u^28 + 75*u^29 + u^30 + 2*u^31 + u^32", "17200 + 143800*u + 528400*u^2 + 1199750*u^3 + 2262576*u^4 + 4058749*u^5 + 6481532*u^6 + 8395923*u^7 + 8570461*u^8 + 5490516*u^9 + 86456*u^10 - 2539272*u^11 + 2128732*u^12 + 8606238*u^13 + 13027672*u^14 + 18089734*u^15 + 17448302*u^16 + 14570718*u^17 + 12148472*u^18 + 7147104*u^19 + 4628390*u^20 + 4598353*u^21 + 2801412*u^22 + 654291*u^23 + 127049*u^24 + 144722*u^25 + 7320*u^26 - 9420*u^27 + 4362*u^28 - 335*u^29 + 28*u^30 + 15*u^31 + u^32", "50 + 350*u + 1465*u^2 + 4595*u^3 + 9694*u^4 + 9543*u^5 - 8949*u^6 - 32642*u^7 + 32552*u^8 + 327335*u^9 + 908859*u^10 + 1855661*u^11 + 2913132*u^12 + 2637640*u^13 + 227370*u^14 - 1837224*u^15 - 2289064*u^16 - 2067565*u^17 - 1159240*u^18 + 239216*u^19 + 654364*u^20 + 557508*u^21 + 659506*u^22 + 183920*u^23 + 186256*u^24 + 27405*u^25 + 25234*u^26 + 2122*u^27 + 1822*u^28 + 79*u^29 + 68*u^30 + u^31 + u^32", "576374 + 84890*u - 1571701*u^2 - 536839*u^3 + 13632726*u^4 - 9798279*u^5 - 24874069*u^6 + 52284602*u^7 - 14858990*u^8 - 30285669*u^9 + 24602385*u^10 - 4242687*u^11 - 409944*u^12 + 7645474*u^13 - 3251684*u^14 - 1571544*u^15 + 818268*u^16 + 1459111*u^17 + 577474*u^18 - 217342*u^19 + 18080*u^20 + 100736*u^21 + 69574*u^22 + 36028*u^23 + 15606*u^24 + 7205*u^25 + 2022*u^26 + 868*u^27 + 278*u^28 + 55*u^29 + 12*u^30 + 3*u^31 + u^32", "-976 + 4624*u - 33756*u^2 + 238702*u^3 - 911414*u^4 + 1750285*u^5 - 957150*u^6 - 2891919*u^7 + 7426921*u^8 - 9650832*u^9 + 12659684*u^10 - 19774352*u^11 + 23054928*u^12 - 12197342*u^13 - 6583444*u^14 + 15935566*u^15 - 9882666*u^16 - 1287982*u^17 + 6364288*u^18 - 4259660*u^19 + 488964*u^20 + 1045985*u^21 - 658906*u^22 + 63165*u^23 + 92549*u^24 - 40330*u^25 + 1676*u^26 + 3220*u^27 - 988*u^28 + 57*u^29 + 38*u^30 - 11*u^31 + u^32", "8 + 12*u + 24*u^2 + 141*u^3 + 113*u^4 + 183*u^5 + 824*u^6 + 33*u^7 + 578*u^8 + 1196*u^9 - 1145*u^10 + 1823*u^11 - 2731*u^12 + 2368*u^13 - 4129*u^14 + 2332*u^15 - 3514*u^16 + 1095*u^17 - 1741*u^18 + 866*u^19 + 189*u^20 + 242*u^21 + 630*u^22 - 5*u^23 + 677*u^24 + 49*u^25 + 256*u^26 + 16*u^27 + 87*u^28 + 15*u^29 + 17*u^30 + 2*u^31 + u^32", "1543 + 2137*u + 10052*u^2 - 41752*u^3 + 245714*u^4 - 191108*u^5 - 240232*u^6 + 1680866*u^7 - 105808*u^8 - 4014664*u^9 + 2116796*u^10 + 9093704*u^11 - 3998648*u^12 - 12375474*u^13 + 1845144*u^14 + 9261768*u^15 + 1669111*u^16 - 3433331*u^17 - 2059244*u^18 + 231902*u^19 + 738400*u^20 + 262428*u^21 - 56320*u^22 - 79038*u^23 - 22509*u^24 + 4787*u^25 + 4816*u^26 + 1010*u^27 - 211*u^28 - 151*u^29 - 13*u^30 + 6*u^31 + u^32", "-1 + u + 2*u^2 - 10*u^3 - 2*u^4 + 22*u^5 + 24*u^6 - 44*u^7 - 118*u^8 + 158*u^9 + 214*u^10 - 392*u^11 - 184*u^12 + 568*u^13 + 96*u^14 - 602*u^15 + 25*u^16 + 483*u^17 - 28*u^18 - 364*u^19 + 118*u^20 + 118*u^21 + 22*u^22 - 98*u^23 + 9*u^24 + 39*u^25 + 10*u^26 - 26*u^27 + 5*u^28 + 7*u^29 - u^30 - 2*u^31 + u^32", "2 + 22*u - 45*u^2 - 249*u^3 + 3346*u^4 - 8057*u^5 + 19755*u^6 + 6628*u^7 - 109910*u^8 + 31675*u^9 + 217805*u^10 - 6127*u^11 - 344264*u^12 - 81902*u^13 + 475816*u^14 + 40774*u^15 - 409968*u^16 + 62095*u^17 + 172658*u^18 - 52930*u^19 - 25836*u^20 + 8604*u^21 - 1730*u^22 + 2082*u^23 + 910*u^24 - 779*u^25 - 66*u^26 - 2*u^27 + 22*u^28 + 25*u^29 - 8*u^30 - 3*u^31 + u^32", "1 + 17*u + 132*u^2 + 968*u^3 + 8156*u^4 + 49442*u^5 + 168796*u^6 + 227510*u^7 - 377278*u^8 - 1670196*u^9 - 794096*u^10 + 2880740*u^11 + 1398720*u^12 - 1639034*u^13 - 3717954*u^14 + 6913092*u^15 - 3136205*u^16 + 1896729*u^17 + 1341356*u^18 + 1420104*u^19 + 127186*u^20 - 550812*u^21 - 194378*u^22 + 23424*u^23 + 57273*u^24 + 13563*u^25 - 4834*u^26 - 634*u^27 + 351*u^28 - 71*u^29 - 29*u^30 + 4*u^31 + u^32", "3904 + 16624*u - 104644*u^2 + 406329*u^3 - 639051*u^4 + 1847871*u^5 - 449852*u^6 + 2199427*u^7 + 1247066*u^8 - 1429228*u^9 - 1909541*u^10 - 5210367*u^11 - 8425031*u^12 - 3966430*u^13 - 2551745*u^14 + 5336284*u^15 + 12525882*u^16 + 16142979*u^17 + 17370723*u^18 + 14921906*u^19 + 10208777*u^20 + 6080648*u^21 + 2869458*u^22 + 1059125*u^23 + 308565*u^24 + 56323*u^25 + 5528*u^26 + 2820*u^27 + 1143*u^28 + 133*u^29 + u^30 + 4*u^31 + u^32", "211 + 1705*u - 12426*u^2 + 3960*u^3 + 45818*u^4 - 66418*u^5 + 383652*u^6 - 1272450*u^7 + 2408478*u^8 - 4722584*u^9 + 8365120*u^10 - 11388164*u^11 + 14672106*u^12 - 16911112*u^13 + 16744182*u^14 - 15514400*u^15 + 13105759*u^16 - 9564039*u^17 + 7025918*u^18 - 4073988*u^19 + 2661120*u^20 - 1171136*u^21 + 723132*u^22 - 223488*u^23 + 137359*u^24 - 27757*u^25 + 17390*u^26 - 2146*u^27 + 1369*u^28 - 95*u^29 + 59*u^30 - 2*u^31 + u^32", "1 - 81*u + 184*u^2 + 736*u^3 - 4380*u^4 + 8332*u^5 + 3244*u^6 - 72304*u^7 + 270146*u^8 - 634950*u^9 + 1020284*u^10 - 1047768*u^11 + 427062*u^12 + 571434*u^13 - 1167930*u^14 + 814000*u^15 + 200919*u^16 - 1046333*u^17 + 1180876*u^18 - 746680*u^19 + 232582*u^20 + 39106*u^21 - 68950*u^22 + 7464*u^23 + 35851*u^24 - 39641*u^25 + 25014*u^26 - 11148*u^27 + 3691*u^28 - 907*u^29 + 159*u^30 - 18*u^31 + u^32", "-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32", "2 - 6*u + u^2 - 27*u^3 + 70*u^4 + 91*u^5 - 227*u^6 - 262*u^7 + 410*u^8 + 785*u^9 - 867*u^10 - 1391*u^11 + 1512*u^12 + 1826*u^13 - 2280*u^14 - 1864*u^15 + 3414*u^16 + 279*u^17 - 2900*u^18 + 908*u^19 + 1664*u^20 - 1362*u^21 - 196*u^22 + 612*u^23 - 78*u^24 - 257*u^25 + 160*u^26 - 4*u^27 - 30*u^28 + 5*u^29 + 8*u^30 - 5*u^31 + u^32", "27509 + 239555*u + 973384*u^2 + 2243574*u^3 + 2312778*u^4 - 2092124*u^5 - 10009958*u^6 - 11847246*u^7 - 634140*u^8 + 20835666*u^9 + 35191386*u^10 + 30170890*u^11 + 3469880*u^12 - 17280804*u^13 - 8219610*u^14 + 9480444*u^15 + 1855553*u^16 - 20914619*u^17 - 26350918*u^18 - 11011216*u^19 + 4640056*u^20 + 8509676*u^21 + 5551830*u^22 + 2575640*u^23 + 1140313*u^24 + 460595*u^25 + 122518*u^26 + 16216*u^27 + 2627*u^28 + 595*u^29 - 33*u^30 - 12*u^31 + u^32", "4 + 32*u - 43*u^2 + 405*u^3 + 7856*u^4 + 47437*u^5 + 186625*u^6 + 578332*u^7 + 1523232*u^8 + 3496109*u^9 + 7011369*u^10 + 12241347*u^11 + 18509148*u^12 + 24179322*u^13 + 27312628*u^14 + 26787454*u^15 + 22950858*u^16 + 17316545*u^17 + 11599760*u^18 + 6957808*u^19 + 3749908*u^20 + 1818262*u^21 + 785468*u^22 + 301658*u^23 + 101334*u^24 + 30829*u^25 + 8676*u^26 + 2566*u^27 + 774*u^28 + 225*u^29 + 54*u^30 + 9*u^31 + u^32", "64 + 240*u - 1000*u^2 - 5665*u^3 + 9171*u^4 + 124149*u^5 + 317846*u^6 - 513121*u^7 - 3894396*u^8 - 10055316*u^9 - 15225301*u^10 - 14476807*u^11 - 4603017*u^12 + 12202876*u^13 + 24515867*u^14 + 25618504*u^15 + 15383154*u^16 - 363451*u^17 - 10875147*u^18 - 13835634*u^19 - 10314891*u^20 - 5042102*u^21 - 1192790*u^22 + 425489*u^23 + 709939*u^24 + 446223*u^25 + 202746*u^26 + 67116*u^27 + 16951*u^28 + 3181*u^29 + 403*u^30 + 30*u^31 + u^32" ], "GeometricComponent":"{29, 30}", "uPolys_ij_N":[ "1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32", "1 + 5*u + 32*u^2 + 116*u^3 - 368*u^4 - 3876*u^5 - 4104*u^6 + 69076*u^7 + 438418*u^8 + 1381418*u^9 + 2628048*u^10 + 2557992*u^11 - 1395766*u^12 - 9834318*u^13 - 17442410*u^14 - 12817564*u^15 + 14218955*u^16 + 61786349*u^17 + 112353100*u^18 + 142703464*u^19 + 140159414*u^20 + 110420814*u^21 + 70829842*u^22 + 37174672*u^23 + 15946515*u^24 + 5558905*u^25 + 1558634*u^26 + 345952*u^27 + 59347*u^28 + 7583*u^29 + 679*u^30 + 38*u^31 + u^32", "-288 + 288*u + 4525*u^2 - 10167*u^3 - 18174*u^4 + 66651*u^5 - 20573*u^6 - 1016*u^7 - 41010*u^8 - 650857*u^9 + 1458075*u^10 - 22225*u^11 - 1847460*u^12 + 927638*u^13 + 81916*u^14 + 269674*u^15 - 20546*u^16 - 502111*u^17 + 612126*u^18 - 385150*u^19 - 205904*u^20 + 358108*u^21 - 14490*u^22 - 114242*u^23 + 19388*u^24 + 19891*u^25 - 4594*u^26 - 2054*u^27 + 556*u^28 + 119*u^29 - 36*u^30 - 3*u^31 + u^32", "-937 + 1407*u - 2816*u^2 + 5456*u^3 + 39636*u^4 - 74548*u^5 - 196508*u^6 + 222140*u^7 + 497906*u^8 - 328174*u^9 - 862444*u^10 + 464404*u^11 + 922542*u^12 - 564930*u^13 - 550450*u^14 + 384846*u^15 + 235203*u^16 - 182997*u^17 - 70692*u^18 + 47556*u^19 + 40510*u^20 - 24970*u^21 - 11150*u^22 + 10422*u^23 + 743*u^24 - 2501*u^25 + 190*u^26 + 554*u^27 - 201*u^28 - 29*u^29 + 37*u^30 - 10*u^31 + u^32", "1 - 5*u + 28*u^2 - 200*u^3 + 864*u^4 - 2676*u^5 + 8152*u^6 - 25312*u^7 + 68982*u^8 - 157022*u^9 + 304112*u^10 - 514564*u^11 + 763918*u^12 - 998910*u^13 + 1154330*u^14 - 1183800*u^15 + 1082807*u^16 - 882485*u^17 + 655164*u^18 - 436588*u^19 + 275742*u^20 - 156822*u^21 + 89074*u^22 - 44288*u^23 + 22615*u^24 - 9617*u^25 + 4254*u^26 - 1488*u^27 + 543*u^28 - 143*u^29 + 39*u^30 - 6*u^31 + u^32", "-16 - 40*u + 88*u^2 - 294*u^3 - 1220*u^4 + 2845*u^5 - 12154*u^6 + 6581*u^7 - 18695*u^8 - 39208*u^9 + 33476*u^10 - 169672*u^11 + 162756*u^12 - 316366*u^13 + 312172*u^14 - 334298*u^15 + 358322*u^16 - 230566*u^17 + 262948*u^18 - 113408*u^19 + 130974*u^20 - 41111*u^21 + 45578*u^22 - 10607*u^23 + 11433*u^24 - 1770*u^25 + 2136*u^26 - 168*u^27 + 294*u^28 + u^29 + 26*u^30 + u^31 + u^32", "1 + 121*u + 1976*u^2 + 14860*u^3 + 43536*u^4 + 182188*u^5 + 364708*u^6 + 1015424*u^7 + 1616678*u^8 + 2490494*u^9 + 3452784*u^10 + 993972*u^11 + 3781918*u^12 + 599402*u^13 + 7366702*u^14 + 2366844*u^15 + 4966267*u^16 - 1388103*u^17 + 744012*u^18 - 11364*u^19 + 1337582*u^20 + 1272582*u^21 + 662794*u^22 + 443980*u^23 + 49815*u^24 + 32957*u^25 - 66*u^26 - 4688*u^27 + 1743*u^28 - 713*u^29 + 183*u^30 - 22*u^31 + u^32", "1439 - 8257*u + 25602*u^2 - 60652*u^3 + 84678*u^4 + 47730*u^5 - 429850*u^6 + 1305490*u^7 - 2928736*u^8 + 4242890*u^9 - 5929890*u^10 + 7632262*u^11 - 4850382*u^12 + 9264046*u^13 - 120174*u^14 + 7846868*u^15 + 3172327*u^16 + 4772893*u^17 + 3133196*u^18 + 2129546*u^19 + 1607516*u^20 + 664500*u^21 + 498380*u^22 + 139458*u^23 + 98053*u^24 + 19405*u^25 + 12450*u^26 + 1724*u^27 + 1001*u^28 + 89*u^29 + 47*u^30 + 2*u^31 + u^32", "-1 + 13*u - 24*u^2 - 58*u^3 + 54*u^4 + 332*u^5 + 136*u^6 - 338*u^7 + 76*u^8 + 1566*u^9 + 1540*u^10 - 230*u^11 + 72*u^12 + 580*u^13 + 1566*u^14 + 732*u^15 + 85*u^16 + 9*u^17 + 464*u^18 - 1154*u^19 + 30*u^20 + 426*u^21 + 6*u^22 - 602*u^23 + 105*u^24 + 7*u^25 + 76*u^26 - 50*u^27 + 31*u^28 - 11*u^29 + 11*u^30 + u^32", "-3833 + 16935*u - 74132*u^2 + 87376*u^3 - 166260*u^4 - 411658*u^5 + 766236*u^6 - 1720794*u^7 + 1296258*u^8 + 683604*u^9 + 836408*u^10 + 1749026*u^11 - 2024778*u^12 - 1333982*u^13 - 2381050*u^14 + 527332*u^15 + 2603785*u^16 + 92581*u^17 + 43172*u^18 - 763676*u^19 + 118164*u^20 - 285130*u^21 - 24470*u^22 - 23658*u^23 + 29499*u^24 - 6961*u^25 - 6634*u^26 - 658*u^27 + 543*u^28 + 75*u^29 + u^30 + 2*u^31 + u^32", "17200 + 143800*u + 528400*u^2 + 1199750*u^3 + 2262576*u^4 + 4058749*u^5 + 6481532*u^6 + 8395923*u^7 + 8570461*u^8 + 5490516*u^9 + 86456*u^10 - 2539272*u^11 + 2128732*u^12 + 8606238*u^13 + 13027672*u^14 + 18089734*u^15 + 17448302*u^16 + 14570718*u^17 + 12148472*u^18 + 7147104*u^19 + 4628390*u^20 + 4598353*u^21 + 2801412*u^22 + 654291*u^23 + 127049*u^24 + 144722*u^25 + 7320*u^26 - 9420*u^27 + 4362*u^28 - 335*u^29 + 28*u^30 + 15*u^31 + u^32", "50 + 350*u + 1465*u^2 + 4595*u^3 + 9694*u^4 + 9543*u^5 - 8949*u^6 - 32642*u^7 + 32552*u^8 + 327335*u^9 + 908859*u^10 + 1855661*u^11 + 2913132*u^12 + 2637640*u^13 + 227370*u^14 - 1837224*u^15 - 2289064*u^16 - 2067565*u^17 - 1159240*u^18 + 239216*u^19 + 654364*u^20 + 557508*u^21 + 659506*u^22 + 183920*u^23 + 186256*u^24 + 27405*u^25 + 25234*u^26 + 2122*u^27 + 1822*u^28 + 79*u^29 + 68*u^30 + u^31 + u^32", "576374 + 84890*u - 1571701*u^2 - 536839*u^3 + 13632726*u^4 - 9798279*u^5 - 24874069*u^6 + 52284602*u^7 - 14858990*u^8 - 30285669*u^9 + 24602385*u^10 - 4242687*u^11 - 409944*u^12 + 7645474*u^13 - 3251684*u^14 - 1571544*u^15 + 818268*u^16 + 1459111*u^17 + 577474*u^18 - 217342*u^19 + 18080*u^20 + 100736*u^21 + 69574*u^22 + 36028*u^23 + 15606*u^24 + 7205*u^25 + 2022*u^26 + 868*u^27 + 278*u^28 + 55*u^29 + 12*u^30 + 3*u^31 + u^32", "-976 + 4624*u - 33756*u^2 + 238702*u^3 - 911414*u^4 + 1750285*u^5 - 957150*u^6 - 2891919*u^7 + 7426921*u^8 - 9650832*u^9 + 12659684*u^10 - 19774352*u^11 + 23054928*u^12 - 12197342*u^13 - 6583444*u^14 + 15935566*u^15 - 9882666*u^16 - 1287982*u^17 + 6364288*u^18 - 4259660*u^19 + 488964*u^20 + 1045985*u^21 - 658906*u^22 + 63165*u^23 + 92549*u^24 - 40330*u^25 + 1676*u^26 + 3220*u^27 - 988*u^28 + 57*u^29 + 38*u^30 - 11*u^31 + u^32", "8 + 12*u + 24*u^2 + 141*u^3 + 113*u^4 + 183*u^5 + 824*u^6 + 33*u^7 + 578*u^8 + 1196*u^9 - 1145*u^10 + 1823*u^11 - 2731*u^12 + 2368*u^13 - 4129*u^14 + 2332*u^15 - 3514*u^16 + 1095*u^17 - 1741*u^18 + 866*u^19 + 189*u^20 + 242*u^21 + 630*u^22 - 5*u^23 + 677*u^24 + 49*u^25 + 256*u^26 + 16*u^27 + 87*u^28 + 15*u^29 + 17*u^30 + 2*u^31 + u^32", "1543 + 2137*u + 10052*u^2 - 41752*u^3 + 245714*u^4 - 191108*u^5 - 240232*u^6 + 1680866*u^7 - 105808*u^8 - 4014664*u^9 + 2116796*u^10 + 9093704*u^11 - 3998648*u^12 - 12375474*u^13 + 1845144*u^14 + 9261768*u^15 + 1669111*u^16 - 3433331*u^17 - 2059244*u^18 + 231902*u^19 + 738400*u^20 + 262428*u^21 - 56320*u^22 - 79038*u^23 - 22509*u^24 + 4787*u^25 + 4816*u^26 + 1010*u^27 - 211*u^28 - 151*u^29 - 13*u^30 + 6*u^31 + u^32", "-1 + u + 2*u^2 - 10*u^3 - 2*u^4 + 22*u^5 + 24*u^6 - 44*u^7 - 118*u^8 + 158*u^9 + 214*u^10 - 392*u^11 - 184*u^12 + 568*u^13 + 96*u^14 - 602*u^15 + 25*u^16 + 483*u^17 - 28*u^18 - 364*u^19 + 118*u^20 + 118*u^21 + 22*u^22 - 98*u^23 + 9*u^24 + 39*u^25 + 10*u^26 - 26*u^27 + 5*u^28 + 7*u^29 - u^30 - 2*u^31 + u^32", "2 + 22*u - 45*u^2 - 249*u^3 + 3346*u^4 - 8057*u^5 + 19755*u^6 + 6628*u^7 - 109910*u^8 + 31675*u^9 + 217805*u^10 - 6127*u^11 - 344264*u^12 - 81902*u^13 + 475816*u^14 + 40774*u^15 - 409968*u^16 + 62095*u^17 + 172658*u^18 - 52930*u^19 - 25836*u^20 + 8604*u^21 - 1730*u^22 + 2082*u^23 + 910*u^24 - 779*u^25 - 66*u^26 - 2*u^27 + 22*u^28 + 25*u^29 - 8*u^30 - 3*u^31 + u^32", "1 + 17*u + 132*u^2 + 968*u^3 + 8156*u^4 + 49442*u^5 + 168796*u^6 + 227510*u^7 - 377278*u^8 - 1670196*u^9 - 794096*u^10 + 2880740*u^11 + 1398720*u^12 - 1639034*u^13 - 3717954*u^14 + 6913092*u^15 - 3136205*u^16 + 1896729*u^17 + 1341356*u^18 + 1420104*u^19 + 127186*u^20 - 550812*u^21 - 194378*u^22 + 23424*u^23 + 57273*u^24 + 13563*u^25 - 4834*u^26 - 634*u^27 + 351*u^28 - 71*u^29 - 29*u^30 + 4*u^31 + u^32", "3904 + 16624*u - 104644*u^2 + 406329*u^3 - 639051*u^4 + 1847871*u^5 - 449852*u^6 + 2199427*u^7 + 1247066*u^8 - 1429228*u^9 - 1909541*u^10 - 5210367*u^11 - 8425031*u^12 - 3966430*u^13 - 2551745*u^14 + 5336284*u^15 + 12525882*u^16 + 16142979*u^17 + 17370723*u^18 + 14921906*u^19 + 10208777*u^20 + 6080648*u^21 + 2869458*u^22 + 1059125*u^23 + 308565*u^24 + 56323*u^25 + 5528*u^26 + 2820*u^27 + 1143*u^28 + 133*u^29 + u^30 + 4*u^31 + u^32", "211 + 1705*u - 12426*u^2 + 3960*u^3 + 45818*u^4 - 66418*u^5 + 383652*u^6 - 1272450*u^7 + 2408478*u^8 - 4722584*u^9 + 8365120*u^10 - 11388164*u^11 + 14672106*u^12 - 16911112*u^13 + 16744182*u^14 - 15514400*u^15 + 13105759*u^16 - 9564039*u^17 + 7025918*u^18 - 4073988*u^19 + 2661120*u^20 - 1171136*u^21 + 723132*u^22 - 223488*u^23 + 137359*u^24 - 27757*u^25 + 17390*u^26 - 2146*u^27 + 1369*u^28 - 95*u^29 + 59*u^30 - 2*u^31 + u^32", "1 - 81*u + 184*u^2 + 736*u^3 - 4380*u^4 + 8332*u^5 + 3244*u^6 - 72304*u^7 + 270146*u^8 - 634950*u^9 + 1020284*u^10 - 1047768*u^11 + 427062*u^12 + 571434*u^13 - 1167930*u^14 + 814000*u^15 + 200919*u^16 - 1046333*u^17 + 1180876*u^18 - 746680*u^19 + 232582*u^20 + 39106*u^21 - 68950*u^22 + 7464*u^23 + 35851*u^24 - 39641*u^25 + 25014*u^26 - 11148*u^27 + 3691*u^28 - 907*u^29 + 159*u^30 - 18*u^31 + u^32", "-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32", "2 - 6*u + u^2 - 27*u^3 + 70*u^4 + 91*u^5 - 227*u^6 - 262*u^7 + 410*u^8 + 785*u^9 - 867*u^10 - 1391*u^11 + 1512*u^12 + 1826*u^13 - 2280*u^14 - 1864*u^15 + 3414*u^16 + 279*u^17 - 2900*u^18 + 908*u^19 + 1664*u^20 - 1362*u^21 - 196*u^22 + 612*u^23 - 78*u^24 - 257*u^25 + 160*u^26 - 4*u^27 - 30*u^28 + 5*u^29 + 8*u^30 - 5*u^31 + u^32", "27509 + 239555*u + 973384*u^2 + 2243574*u^3 + 2312778*u^4 - 2092124*u^5 - 10009958*u^6 - 11847246*u^7 - 634140*u^8 + 20835666*u^9 + 35191386*u^10 + 30170890*u^11 + 3469880*u^12 - 17280804*u^13 - 8219610*u^14 + 9480444*u^15 + 1855553*u^16 - 20914619*u^17 - 26350918*u^18 - 11011216*u^19 + 4640056*u^20 + 8509676*u^21 + 5551830*u^22 + 2575640*u^23 + 1140313*u^24 + 460595*u^25 + 122518*u^26 + 16216*u^27 + 2627*u^28 + 595*u^29 - 33*u^30 - 12*u^31 + u^32", "4 + 32*u - 43*u^2 + 405*u^3 + 7856*u^4 + 47437*u^5 + 186625*u^6 + 578332*u^7 + 1523232*u^8 + 3496109*u^9 + 7011369*u^10 + 12241347*u^11 + 18509148*u^12 + 24179322*u^13 + 27312628*u^14 + 26787454*u^15 + 22950858*u^16 + 17316545*u^17 + 11599760*u^18 + 6957808*u^19 + 3749908*u^20 + 1818262*u^21 + 785468*u^22 + 301658*u^23 + 101334*u^24 + 30829*u^25 + 8676*u^26 + 2566*u^27 + 774*u^28 + 225*u^29 + 54*u^30 + 9*u^31 + u^32", "64 + 240*u - 1000*u^2 - 5665*u^3 + 9171*u^4 + 124149*u^5 + 317846*u^6 - 513121*u^7 - 3894396*u^8 - 10055316*u^9 - 15225301*u^10 - 14476807*u^11 - 4603017*u^12 + 12202876*u^13 + 24515867*u^14 + 25618504*u^15 + 15383154*u^16 - 363451*u^17 - 10875147*u^18 - 13835634*u^19 - 10314891*u^20 - 5042102*u^21 - 1192790*u^22 + 425489*u^23 + 709939*u^24 + 446223*u^25 + 202746*u^26 + 67116*u^27 + 16951*u^28 + 3181*u^29 + 403*u^30 + 30*u^31 + u^32" ], "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{1, 5}", "{3, 9}", "{3, 10}", "{4, 10}" ], [ "{1, 10}", "{3, 4}", "{4, 5}", "{9, 10}" ], [ "{1, 3}", "{4, 9}", "{5, 10}" ], [ "{1, 9}", "{3, 5}" ], [ "{5, 6}", "{5, 9}" ], [ "{3, 6}" ], [ "{2, 3}" ], [ "{3, 7}" ], [ "{2, 8}", "{3, 8}" ], [ "{6, 10}" ], [ "{2, 4}" ], [ "{7, 10}" ], [ "{1, 6}" ], [ "{8, 10}" ], [ "{1, 7}", "{2, 7}" ], [ "{1, 8}" ], [ "{2, 5}", "{2, 6}" ], [ "{2, 9}" ], [ "{4, 8}" ], [ "{4, 6}" ], [ "{4, 7}" ], [ "{6, 7}", "{8, 9}" ], [ "{6, 8}", "{6, 9}", "{7, 9}" ], [ "{5, 7}", "{5, 8}" ], [ "{2, 10}" ], [ "{7, 8}" ], [ "{1, 2}" ] ], "SortedReprnIndices":"{29, 30, 2, 1, 27, 28, 10, 11, 26, 25, 4, 3, 19, 20, 13, 12, 5, 6, 16, 17, 8, 7, 22, 21, 32, 31, 14, 15, 23, 24, 18, 9}", "aCuspShapeN":[ "-2.8798725860307485034`4.670701153333632 + 8.2024783965838786886`5.125272974834061*I", "-2.8798725860307485034`4.670701153333632 - 8.2024783965838786886`5.125272974834061*I", "-6.9344813122855575964`5.006167890877766 + 6.7374859396191628483`4.993651780633073*I", "-6.9344813122855575964`5.006167890877766 - 6.7374859396191628483`4.993651780633073*I", "-7.8021587740395788914`5.051904594424975 - 5.9151649956474972689`4.931656673659446*I", "-7.8021587740395788914`5.051904594424975 + 5.9151649956474972689`4.931656673659446*I", "-6.4054041356529797939`5.038897610560774 + 5.2508463248985719834`4.952580382802199*I", "-6.4054041356529797939`5.038897610560774 - 5.2508463248985719834`4.952580382802199*I", -7.379, "0.1752503267531531668`3.6589540558846267 - 5.4324271176779237386`5.1502891279723295*I", "0.1752503267531531668`3.6589540558846267 + 5.4324271176779237386`5.1502891279723295*I", "0.8236489603844642502`4.15342290196949 + 8.1399600874122223954`5.148303022796128*I", "0.8236489603844642502`4.15342290196949 - 8.1399600874122223954`5.148303022796128*I", "8.1378227838173778946`4.783562431902773 + 17.10651856281590384`5.106215836839525*I", "8.1378227838173778946`4.783562431902773 - 17.10651856281590384`5.106215836839525*I", "-2.6014623842090098242`4.883658066595308 - 4.0448699786028236937`5.075345081868197*I", "-2.6014623842090098242`4.883658066595308 + 4.0448699786028236937`5.075345081868197*I", 0, 0, 0, 0, 0, "3.8520290146118037235`5.049726592191706 + 2.9604490504417766326`4.9353946337340835*I", "3.8520290146118037235`5.049726592191706 - 2.9604490504417766326`4.9353946337340835*I", 0, 0, 0, 0, 0, 0, 0, 0 ], "Abelian":false }, { "IdealName":"J10_82_1", "Generators":[ "b", "1 + a", "1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.7036e-2, "TimingZeroDimVars":6.8014e-2, "TimingmagmaVCompNormalize":6.9391e-2, "TimingNumberOfSols":2.2176e-2, "TimingIsRadical":1.4730000000000001e-3, "TimingArcColoring":5.3230000000000006e-2, "TimingObstruction":3.64e-4, "TimingComplexVolumeN":0.642298, "TimingaCuspShapeN":4.8179999999999985e-3, "TiminguValues":0.636019, "TiminguPolysN":9.2e-5, "TiminguPolys":0.804466, "TimingaCuspShape":8.7469e-2, "TimingRepresentationsN":2.4039e-2, "TiminguValues_ij":0.151125, "TiminguPoly_ij":0.425465, "TiminguPolys_ij_N":8.800000000000001e-5 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{0, -1}", "{-1, -1}", "{0, -1}", "{1, -1}", "{1, 0}", "{0, -1}", "{-1, 0}", "{-1, 0}", "{-1, 1}", "{-1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "1 + u", "1 + u", "1 + u", "1 + u", "1 + u", "1 + u", "u", "-1 + u", "-1 + u", "-1 + u" ], "uPolys":[ "1 + u", "1 + u", "1 + u", "1 + u", "1 + u", "1 + u", "u", "-1 + u", "-1 + u", "-1 + u" ], "aCuspShape":0, "RepresentationsN":[ [ "u->-1.", "a->-1.", "b->0" ] ], "Epsilon":"Infinity", "uPolys_ij":[ "2 + u", "1 + u", "u", "-1 + u", "-2 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "2 + u", "1 + u", "u", "-1 + u", "-2 + u" ], "Multiplicity":1, "ij_list":[ [ "{2, 9}" ], [ "{1, 2}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 7}", "{2, 8}", "{2, 10}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 10}", "{5, 6}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 9}", "{8, 9}" ], [ "{1, 3}", "{1, 6}", "{3, 6}", "{4, 9}", "{5, 7}", "{5, 8}", "{5, 10}", "{7, 8}", "{7, 10}", "{8, 10}" ], [ "{1, 4}", "{1, 5}", "{2, 3}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 5}", "{4, 5}", "{5, 9}", "{9, 10}" ], [ "{2, 4}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":false }, { "IdealName":"abJ10_82_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":6.6592e-2, "TimingZeroDimVars":6.4335e-2, "TimingmagmaVCompNormalize":6.586299999999999e-2, "TimingNumberOfSols":2.3180000000000006e-2, "TimingIsRadical":1.5e-3, "TimingArcColoring":5.4833999999999994e-2, "TimingObstruction":4.2e-4, "TimingComplexVolumeN":0.43154, "TimingaCuspShapeN":4.3739999999999985e-3, "TiminguValues":0.625076, "TiminguPolysN":7.2e-5, "TiminguPolys":0.800204, "TimingaCuspShape":0.101025, "TimingRepresentationsN":2.3477e-2, "TiminguValues_ij":0.152042, "TiminguPoly_ij":0.145771, "TiminguPolys_ij_N":3.000000000000001e-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)*(8 + 12*u + 24*u^2 + 141*u^3 + 113*u^4 + 183*u^5 + 824*u^6 + 33*u^7 + 578*u^8 + 1196*u^9 - 1145*u^10 + 1823*u^11 - 2731*u^12 + 2368*u^13 - 4129*u^14 + 2332*u^15 - 3514*u^16 + 1095*u^17 - 1741*u^18 + 866*u^19 + 189*u^20 + 242*u^21 + 630*u^22 - 5*u^23 + 677*u^24 + 49*u^25 + 256*u^26 + 16*u^27 + 87*u^28 + 15*u^29 + 17*u^30 + 2*u^31 + u^32)", "(1 + u)*(-1 + 13*u - 24*u^2 - 58*u^3 + 54*u^4 + 332*u^5 + 136*u^6 - 338*u^7 + 76*u^8 + 1566*u^9 + 1540*u^10 - 230*u^11 + 72*u^12 + 580*u^13 + 1566*u^14 + 732*u^15 + 85*u^16 + 9*u^17 + 464*u^18 - 1154*u^19 + 30*u^20 + 426*u^21 + 6*u^22 - 602*u^23 + 105*u^24 + 7*u^25 + 76*u^26 - 50*u^27 + 31*u^28 - 11*u^29 + 11*u^30 + u^32)", "(1 + u)*(1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32)", "(1 + u)*(1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32)", "(1 + u)*(-1 + u + 2*u^2 - 10*u^3 - 2*u^4 + 22*u^5 + 24*u^6 - 44*u^7 - 118*u^8 + 158*u^9 + 214*u^10 - 392*u^11 - 184*u^12 + 568*u^13 + 96*u^14 - 602*u^15 + 25*u^16 + 483*u^17 - 28*u^18 - 364*u^19 + 118*u^20 + 118*u^21 + 22*u^22 - 98*u^23 + 9*u^24 + 39*u^25 + 10*u^26 - 26*u^27 + 5*u^28 + 7*u^29 - u^30 - 2*u^31 + u^32)", "(1 + u)*(-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32)", "u*(2 - 6*u + u^2 - 27*u^3 + 70*u^4 + 91*u^5 - 227*u^6 - 262*u^7 + 410*u^8 + 785*u^9 - 867*u^10 - 1391*u^11 + 1512*u^12 + 1826*u^13 - 2280*u^14 - 1864*u^15 + 3414*u^16 + 279*u^17 - 2900*u^18 + 908*u^19 + 1664*u^20 - 1362*u^21 - 196*u^22 + 612*u^23 - 78*u^24 - 257*u^25 + 160*u^26 - 4*u^27 - 30*u^28 + 5*u^29 + 8*u^30 - 5*u^31 + u^32)", "(-1 + u)*(-1 - 13*u - 44*u^2 - 68*u^3 - 8*u^4 + 216*u^5 + 480*u^6 + 268*u^7 - 726*u^8 - 1482*u^9 - 432*u^10 + 1724*u^11 + 2142*u^12 - 42*u^13 - 2234*u^14 - 1812*u^15 + 645*u^16 + 2027*u^17 + 772*u^18 - 1008*u^19 - 1022*u^20 + 66*u^21 + 582*u^22 + 256*u^23 - 171*u^24 - 197*u^25 + 6*u^26 + 80*u^27 + 17*u^28 - 19*u^29 - 7*u^30 + 2*u^31 + u^32)", "(-1 + u)*(1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32)", "(-1 + u)*(1 - u - 2*u^2 + 10*u^3 + 4*u^4 + 18*u^5 - 18*u^6 - 224*u^7 + 176*u^8 + 756*u^9 - 472*u^10 - 1166*u^11 + 832*u^12 + 502*u^13 - 1284*u^14 + 1950*u^15 + 2067*u^16 - 5063*u^17 - 2840*u^18 + 6630*u^19 + 3036*u^20 - 5586*u^21 - 2428*u^22 + 3130*u^23 + 1375*u^24 - 1151*u^25 - 522*u^26 + 266*u^27 + 125*u^28 - 35*u^29 - 17*u^30 + 2*u^31 + u^32)" ], "RileyPolyC":[ "(-1 + y)*(64 + 240*y - 1000*y^2 - 5665*y^3 + 9171*y^4 + 124149*y^5 + 317846*y^6 - 513121*y^7 - 3894396*y^8 - 10055316*y^9 - 15225301*y^10 - 14476807*y^11 - 4603017*y^12 + 12202876*y^13 + 24515867*y^14 + 25618504*y^15 + 15383154*y^16 - 363451*y^17 - 10875147*y^18 - 13835634*y^19 - 10314891*y^20 - 5042102*y^21 - 1192790*y^22 + 425489*y^23 + 709939*y^24 + 446223*y^25 + 202746*y^26 + 67116*y^27 + 16951*y^28 + 3181*y^29 + 403*y^30 + 30*y^31 + y^32)", "(-1 + y)*(1 - 121*y + 1976*y^2 - 14860*y^3 + 43536*y^4 - 182188*y^5 + 364708*y^6 - 1015424*y^7 + 1616678*y^8 - 2490494*y^9 + 3452784*y^10 - 993972*y^11 + 3781918*y^12 - 599402*y^13 + 7366702*y^14 - 2366844*y^15 + 4966267*y^16 + 1388103*y^17 + 744012*y^18 + 11364*y^19 + 1337582*y^20 - 1272582*y^21 + 662794*y^22 - 443980*y^23 + 49815*y^24 - 32957*y^25 - 66*y^26 + 4688*y^27 + 1743*y^28 + 713*y^29 + 183*y^30 + 22*y^31 + y^32)", "(-1 + y)*(1 - 5*y + 32*y^2 - 116*y^3 - 368*y^4 + 3876*y^5 - 4104*y^6 - 69076*y^7 + 438418*y^8 - 1381418*y^9 + 2628048*y^10 - 2557992*y^11 - 1395766*y^12 + 9834318*y^13 - 17442410*y^14 + 12817564*y^15 + 14218955*y^16 - 61786349*y^17 + 112353100*y^18 - 142703464*y^19 + 140159414*y^20 - 110420814*y^21 + 70829842*y^22 - 37174672*y^23 + 15946515*y^24 - 5558905*y^25 + 1558634*y^26 - 345952*y^27 + 59347*y^28 - 7583*y^29 + 679*y^30 - 38*y^31 + y^32)", "(-1 + y)*(1 - 5*y + 32*y^2 - 116*y^3 - 368*y^4 + 3876*y^5 - 4104*y^6 - 69076*y^7 + 438418*y^8 - 1381418*y^9 + 2628048*y^10 - 2557992*y^11 - 1395766*y^12 + 9834318*y^13 - 17442410*y^14 + 12817564*y^15 + 14218955*y^16 - 61786349*y^17 + 112353100*y^18 - 142703464*y^19 + 140159414*y^20 - 110420814*y^21 + 70829842*y^22 - 37174672*y^23 + 15946515*y^24 - 5558905*y^25 + 1558634*y^26 - 345952*y^27 + 59347*y^28 - 7583*y^29 + 679*y^30 - 38*y^31 + y^32)", "(-1 + y)*(1 - 5*y + 28*y^2 - 200*y^3 + 864*y^4 - 2676*y^5 + 8152*y^6 - 25312*y^7 + 68982*y^8 - 157022*y^9 + 304112*y^10 - 514564*y^11 + 763918*y^12 - 998910*y^13 + 1154330*y^14 - 1183800*y^15 + 1082807*y^16 - 882485*y^17 + 655164*y^18 - 436588*y^19 + 275742*y^20 - 156822*y^21 + 89074*y^22 - 44288*y^23 + 22615*y^24 - 9617*y^25 + 4254*y^26 - 1488*y^27 + 543*y^28 - 143*y^29 + 39*y^30 - 6*y^31 + y^32)", "(-1 + y)*(1 - 81*y + 184*y^2 + 736*y^3 - 4380*y^4 + 8332*y^5 + 3244*y^6 - 72304*y^7 + 270146*y^8 - 634950*y^9 + 1020284*y^10 - 1047768*y^11 + 427062*y^12 + 571434*y^13 - 1167930*y^14 + 814000*y^15 + 200919*y^16 - 1046333*y^17 + 1180876*y^18 - 746680*y^19 + 232582*y^20 + 39106*y^21 - 68950*y^22 + 7464*y^23 + 35851*y^24 - 39641*y^25 + 25014*y^26 - 11148*y^27 + 3691*y^28 - 907*y^29 + 159*y^30 - 18*y^31 + y^32)", "y*(4 - 32*y - 43*y^2 - 405*y^3 + 7856*y^4 - 47437*y^5 + 186625*y^6 - 578332*y^7 + 1523232*y^8 - 3496109*y^9 + 7011369*y^10 - 12241347*y^11 + 18509148*y^12 - 24179322*y^13 + 27312628*y^14 - 26787454*y^15 + 22950858*y^16 - 17316545*y^17 + 11599760*y^18 - 6957808*y^19 + 3749908*y^20 - 1818262*y^21 + 785468*y^22 - 301658*y^23 + 101334*y^24 - 30829*y^25 + 8676*y^26 - 2566*y^27 + 774*y^28 - 225*y^29 + 54*y^30 - 9*y^31 + y^32)", "(-1 + y)*(1 - 81*y + 184*y^2 + 736*y^3 - 4380*y^4 + 8332*y^5 + 3244*y^6 - 72304*y^7 + 270146*y^8 - 634950*y^9 + 1020284*y^10 - 1047768*y^11 + 427062*y^12 + 571434*y^13 - 1167930*y^14 + 814000*y^15 + 200919*y^16 - 1046333*y^17 + 1180876*y^18 - 746680*y^19 + 232582*y^20 + 39106*y^21 - 68950*y^22 + 7464*y^23 + 35851*y^24 - 39641*y^25 + 25014*y^26 - 11148*y^27 + 3691*y^28 - 907*y^29 + 159*y^30 - 18*y^31 + y^32)", "(-1 + y)*(1 - 5*y + 32*y^2 - 116*y^3 - 368*y^4 + 3876*y^5 - 4104*y^6 - 69076*y^7 + 438418*y^8 - 1381418*y^9 + 2628048*y^10 - 2557992*y^11 - 1395766*y^12 + 9834318*y^13 - 17442410*y^14 + 12817564*y^15 + 14218955*y^16 - 61786349*y^17 + 112353100*y^18 - 142703464*y^19 + 140159414*y^20 - 110420814*y^21 + 70829842*y^22 - 37174672*y^23 + 15946515*y^24 - 5558905*y^25 + 1558634*y^26 - 345952*y^27 + 59347*y^28 - 7583*y^29 + 679*y^30 - 38*y^31 + y^32)", "(-1 + y)*(1 - 5*y + 32*y^2 - 116*y^3 - 368*y^4 + 3876*y^5 - 4104*y^6 - 69076*y^7 + 438418*y^8 - 1381418*y^9 + 2628048*y^10 - 2557992*y^11 - 1395766*y^12 + 9834318*y^13 - 17442410*y^14 + 12817564*y^15 + 14218955*y^16 - 61786349*y^17 + 112353100*y^18 - 142703464*y^19 + 140159414*y^20 - 110420814*y^21 + 70829842*y^22 - 37174672*y^23 + 15946515*y^24 - 5558905*y^25 + 1558634*y^26 - 345952*y^27 + 59347*y^28 - 7583*y^29 + 679*y^30 - 38*y^31 + y^32)" ] }, "GeometricRepresentation":[ 1.24315e1, [ "J10_82_0", 1, "{29, 30}" ] ] } }