{ "Index":260, "Name":"11a_11", "RolfsenName":"11a_11", "DTname":"11a_11", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-9, 1, 15, -3, 5, -21, 17, 7, 13, -11, -19}", "Acode":"{-5, 1, 8, -2, 3, -11, 9, 4, 7, -6, -10}", "PDcode":[ "{4, 2, 5, 1}", "{10, 6, 11, 5}", "{8, 3, 9, 4}", "{2, 9, 3, 10}", "{16, 8, 17, 7}", "{18, 14, 19, 13}", "{14, 18, 15, 17}", "{22, 19, 1, 20}", "{20, 11, 21, 12}", "{12, 21, 13, 22}", "{6, 16, 7, 15}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{6, 11, 3}", [], [ "{6, -11, 7, 1}", "{6, 3, 5, 2}", "{11, -6, 10, 2}", "{11, -10, 1, 1}", "{3, 1, 2, 2}", "{5, -2, 4, 2}", "{10, 7, 9, 2}", "{7, 9, 8, 1}" ], "{1, 3}", "{8}", 8 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-a + u - 2*a*b*u + a^2*b^2*u + 2*a*b*u^3 + b^2*u^3 - a^2*b^2*u^3 - a*b^3*u^3 + a*u^4 - a*u^6 - b*u^6", "-b + u - b^2*u + a*b^3*u + a*u^2 - u^3 + b^2*u^3 - a*b^3*u^3 - b^4*u^3 - 2*a*u^4 - b*u^4 + a*u^6 + b*u^6", "-1 + a - b + a^2*u^2 - a^3*b*u^2 - 2*a*u^4 - 2*a^2*u^4 + 2*b*u^4 + 2*a^3*b*u^4 + 2*a^2*b^2*u^4 + 2*a*u^6 - 2*b*u^6 - b^2*u^6 - 2*a^2*b^2*u^6 - a*b^3*u^6 + a*u^8 + 3*a^2*u^8 - b*u^8 + 2*a*b*u^8 - 3*a^3*b*u^8 - 3*a^2*b^2*u^8 - 4*a*u^10 - 3*a^2*u^10 + 2*b*u^10 - 4*a*b*u^10 + 3*a^3*b*u^10 - b^2*u^10 + 6*a^2*b^2*u^10 + 3*a*b^3*u^10 + 3*a*u^12 + a^2*u^12 - b*u^12 + 2*a*b*u^12 - a^3*b*u^12 + b^2*u^12 - 3*a^2*b^2*u^12 - 3*a*b^3*u^12 - b^4*u^12 - a*u^14", "b + 2*a*b*u^2 - a^2*b^2*u^2 - a^2*u^4 + 2*b*u^4 - 4*a*b*u^4 + a^3*b*u^4 - 2*b^2*u^4 + 2*a^2*b^2*u^4 + 2*a*b^3*u^4 + 4*a^2*u^6 - 2*b*u^6 + 4*a*b*u^6 - 4*a^3*b*u^6 + 2*b^2*u^6 - 4*a^2*b^2*u^6 - 2*a*b^3*u^6 - b^4*u^6 + 4*a*u^8 - 6*a^2*u^8 - b*u^8 - 6*a*b*u^8 + 6*a^3*b*u^8 - b^2*u^8 + 9*a^2*b^2*u^8 + 3*a*b^3*u^8 - 8*a*u^10 + 4*a^2*u^10 + 4*b*u^10 + 6*a*b*u^10 - 4*a^3*b*u^10 + 2*b^2*u^10 - 9*a^2*b^2*u^10 - 6*a*b^3*u^10 - b^4*u^10 + 8*a*u^12 - a^2*u^12 - 3*b*u^12 - 2*a*b*u^12 + a^3*b*u^12 - b^2*u^12 + 3*a^2*b^2*u^12 + 3*a*b^3*u^12 + b^4*u^12 - 4*a*u^14 + b*u^14 + a*u^16" ], "TimingForPrimaryIdeals":0.14789 }, "v":{ "CheckEq":[ "-b - b^4*v", "-a + v + b^2*v - a*b^3*v - b*v^2", "b - b^4*v^2", "-1 + a - b - b^2*v^2 - a*b^3*v^2 - b^4*v^4" ], "TimingForPrimaryIdeals":9.4954e-2 }, "PrimaryIdeals":[ { "IdealName":"J11a_11_0", "Generators":[ "7 + 2*b + 3*u + 10*u^2 + 72*u^3 + 141*u^4 - 121*u^5 - 863*u^6 - 1176*u^7 + 743*u^8 + 4890*u^9 + 6136*u^10 - 3004*u^11 - 19608*u^12 - 22474*u^13 + 9416*u^14 + 59058*u^15 + 63354*u^16 - 24252*u^17 - 143664*u^18 - 140700*u^19 + 58866*u^20 + 287266*u^21 + 247386*u^22 - 128336*u^23 - 481420*u^24 - 346378*u^25 + 253128*u^26 + 677708*u^27 + 362572*u^28 - 421948*u^29 - 781820*u^30 - 253344*u^31 + 576379*u^32 + 724835*u^33 + 30614*u^34 - 628216*u^35 - 479819*u^36 + 181415*u^37 + 499357*u^38 + 183224*u^39 - 255799*u^40 - 274636*u^41 + 30956*u^42 + 187828*u^43 + 57956*u^44 - 79914*u^45 - 52888*u^46 + 20374*u^47 + 25387*u^48 - 1619*u^49 - 7934*u^50 - 900*u^51 + 1635*u^52 + 385*u^53 - 205*u^54 - 68*u^55 + 12*u^56 + 5*u^57", "-17 + 2*a - 21*u - 42*u^2 - 192*u^3 - 307*u^4 + 453*u^5 + 2317*u^6 + 2774*u^7 - 2531*u^8 - 12940*u^9 - 15016*u^10 + 9480*u^11 + 51344*u^12 + 55736*u^13 - 28056*u^14 - 152618*u^15 - 157934*u^16 + 68054*u^17 + 367420*u^18 + 351640*u^19 - 157026*u^20 - 727758*u^21 - 618358*u^22 + 328448*u^23 + 1210824*u^24 + 868838*u^25 - 633744*u^26 - 1697680*u^27 - 913988*u^28 + 1044720*u^29 + 1954980*u^30 + 651872*u^31 - 1423085*u^32 - 1818997*u^33 - 102578*u^34 + 1556072*u^35 + 1214305*u^36 - 427995*u^37 - 1244095*u^38 - 478314*u^39 + 623879*u^40 + 694654*u^41 - 62000*u^42 - 468984*u^43 - 154392*u^44 + 196676*u^45 + 136340*u^46 - 48642*u^47 - 64745*u^48 + 3031*u^49 + 20110*u^50 + 2556*u^51 - 4125*u^52 - 1025*u^53 + 515*u^54 + 178*u^55 - 30*u^56 - 13*u^57", "1 + 2*u + 3*u^2 + 14*u^3 + 35*u^4 + 2*u^5 - 166*u^6 - 343*u^7 - 79*u^8 + 931*u^9 + 1860*u^10 + 612*u^11 - 3672*u^12 - 7108*u^13 - 2596*u^14 + 10940*u^15 + 20626*u^16 + 7904*u^17 - 26434*u^18 - 47920*u^19 - 17150*u^20 + 54040*u^21 + 90276*u^22 + 27046*u^23 - 94876*u^24 - 140786*u^25 - 28002*u^26 + 145756*u^27 + 179616*u^28 + 7712*u^29 - 191048*u^30 - 183636*u^31 + 33421*u^32 + 211158*u^33 + 141883*u^34 - 81722*u^35 - 186101*u^36 - 66438*u^37 + 103194*u^38 + 120601*u^39 + 335*u^40 - 86361*u^41 - 48654*u^42 + 31236*u^43 + 43996*u^44 + 532*u^45 - 22480*u^46 - 7556*u^47 + 7289*u^48 + 4726*u^49 - 1345*u^50 - 1666*u^51 + 33*u^52 + 370*u^53 + 50*u^54 - 49*u^55 - 12*u^56 + 3*u^57 + u^58" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.6081e-2, "TimingZeroDimVars":0.297796, "TimingmagmaVCompNormalize":0.298957, "TimingNumberOfSols":0.764509, "TimingIsRadical":0.217169, "TimingArcColoring":0.137431, "TimingObstruction":0.471924, "TimingComplexVolumeN":5.4301947000000006e1, "TimingaCuspShapeN":0.724698, "TiminguValues":0.765758, "TiminguPolysN":0.512923, "TiminguPolys":1.574083, "TimingaCuspShape":0.256293, "TimingRepresentationsN":0.743184, "TiminguValues_ij":0.329209, "TiminguPoly_ij":7.278798, "TiminguPolys_ij_N":1.259193 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":58, "IsRadical":true, "ArcColoring":[ [ "u^3", "u - u^3" ], [ "7 + 10*u + 18*u^2 + 80*u^3 + 129*u^4 - 186*u^5 - 979*u^6 - 1194*u^7 + 1028*u^8 + 5482*u^9 + 6514*u^10 - 3766*u^11 - 21812*u^12 - 24318*u^13 + 11000*u^14 + 64924*u^15 + 69126*u^16 - 26296*u^17 - 156512*u^18 - 154608*u^19 + 60996*u^20 + 310726*u^21 + 273332*u^22 - 129523*u^23 - 518430*u^24 - 387478*u^25 + 255252*u^26 + 730514*u^27 + 414516*u^28 - 429534*u^29 - 846828*u^30 - 307616*u^31 + 594831*u^32 + 796342*u^33 + 72230*u^34 - 661570*u^35 - 542001*u^36 + 163930*u^37 + 537847*u^38 + 223738*u^39 - 259370*u^40 - 307514*u^41 + 15654*u^42 + 202934*u^43 + 73866*u^44 - 82966*u^45 - 62102*u^46 + 19398*u^47 + 28993*u^48 - 568*u^49 - 8916*u^50 - 1332*u^51 + 1815*u^52 + 490*u^53 - 225*u^54 - 83*u^55 + 13*u^56 + 6*u^57", "(-11 - 7*u - 18*u^2 - 128*u^3 - 241*u^4 + 227*u^5 + 1507*u^6 + 2002*u^7 - 1331*u^8 - 8430*u^9 - 10504*u^10 + 5192*u^11 + 33584*u^12 + 38404*u^13 - 15864*u^14 - 100244*u^15 - 108098*u^16 + 39624*u^17 + 242384*u^18 + 239840*u^19 - 94898*u^20 - 481800*u^21 - 421586*u^22 + 204838*u^23 + 804140*u^24 + 593122*u^25 - 404776*u^26 - 1130348*u^27 - 627996*u^28 + 677268*u^29 + 1305516*u^30 + 456760*u^31 - 931215*u^32 - 1220171*u^33 - 91886*u^34 + 1026340*u^35 + 822887*u^36 - 266285*u^37 - 827817*u^38 - 333518*u^39 + 405811*u^40 + 468872*u^41 - 31116*u^42 - 312352*u^43 - 109260*u^44 + 129056*u^45 + 93640*u^46 - 30900*u^47 - 44015*u^48 + 1343*u^49 + 13590*u^50 + 1908*u^51 - 2775*u^52 - 725*u^53 + 345*u^54 + 124*u^55 - 20*u^56 - 9*u^57)\/2" ], [ "(17 + 21*u + 42*u^2 + 192*u^3 + 307*u^4 - 453*u^5 - 2317*u^6 - 2774*u^7 + 2531*u^8 + 12940*u^9 + 15016*u^10 - 9480*u^11 - 51344*u^12 - 55736*u^13 + 28056*u^14 + 152618*u^15 + 157934*u^16 - 68054*u^17 - 367420*u^18 - 351640*u^19 + 157026*u^20 + 727758*u^21 + 618358*u^22 - 328448*u^23 - 1210824*u^24 - 868838*u^25 + 633744*u^26 + 1697680*u^27 + 913988*u^28 - 1044720*u^29 - 1954980*u^30 - 651872*u^31 + 1423085*u^32 + 1818997*u^33 + 102578*u^34 - 1556072*u^35 - 1214305*u^36 + 427995*u^37 + 1244095*u^38 + 478314*u^39 - 623879*u^40 - 694654*u^41 + 62000*u^42 + 468984*u^43 + 154392*u^44 - 196676*u^45 - 136340*u^46 + 48642*u^47 + 64745*u^48 - 3031*u^49 - 20110*u^50 - 2556*u^51 + 4125*u^52 + 1025*u^53 - 515*u^54 - 178*u^55 + 30*u^56 + 13*u^57)\/2", "(-7 - 3*u - 10*u^2 - 72*u^3 - 141*u^4 + 121*u^5 + 863*u^6 + 1176*u^7 - 743*u^8 - 4890*u^9 - 6136*u^10 + 3004*u^11 + 19608*u^12 + 22474*u^13 - 9416*u^14 - 59058*u^15 - 63354*u^16 + 24252*u^17 + 143664*u^18 + 140700*u^19 - 58866*u^20 - 287266*u^21 - 247386*u^22 + 128336*u^23 + 481420*u^24 + 346378*u^25 - 253128*u^26 - 677708*u^27 - 362572*u^28 + 421948*u^29 + 781820*u^30 + 253344*u^31 - 576379*u^32 - 724835*u^33 - 30614*u^34 + 628216*u^35 + 479819*u^36 - 181415*u^37 - 499357*u^38 - 183224*u^39 + 255799*u^40 + 274636*u^41 - 30956*u^42 - 187828*u^43 - 57956*u^44 + 79914*u^45 + 52888*u^46 - 20374*u^47 - 25387*u^48 + 1619*u^49 + 7934*u^50 + 900*u^51 - 1635*u^52 - 385*u^53 + 205*u^54 + 68*u^55 - 12*u^56 - 5*u^57)\/2" ], [ "(11 + 13*u + 28*u^2 + 112*u^3 + 171*u^4 - 265*u^5 - 1349*u^6 - 1646*u^7 + 1421*u^8 + 7572*u^9 + 9030*u^10 - 5064*u^11 - 30010*u^12 - 33968*u^13 + 14280*u^14 + 89308*u^15 + 96994*u^16 - 33258*u^17 - 214872*u^18 - 217976*u^19 + 76022*u^20 + 426870*u^21 + 388062*u^22 - 163108*u^23 - 713204*u^24 - 554846*u^25 + 326828*u^26 + 1008988*u^27 + 605216*u^28 - 562628*u^29 - 1178080*u^30 - 466312*u^31 + 792795*u^32 + 1119265*u^33 + 145404*u^34 - 898524*u^35 - 779245*u^36 + 192875*u^37 + 744867*u^38 + 336922*u^39 - 341233*u^40 - 436438*u^41 + 2170*u^42 + 279988*u^43 + 114782*u^44 - 110532*u^45 - 91528*u^46 + 23680*u^47 + 41887*u^48 + 621*u^49 - 12724*u^50 - 2268*u^51 + 2565*u^52 + 765*u^53 - 315*u^54 - 126*u^55 + 18*u^56 + 9*u^57)\/2", "(-13 - 11*u - 20*u^2 - 148*u^3 - 299*u^4 + 247*u^5 + 1829*u^6 + 2492*u^7 - 1541*u^8 - 10260*u^9 - 12982*u^10 + 6028*u^11 + 40984*u^12 + 47440*u^13 - 18746*u^14 - 122444*u^15 - 132934*u^16 + 47066*u^17 + 295720*u^18 + 294600*u^19 - 113698*u^20 - 587818*u^21 - 516234*u^22 + 247156*u^23 + 979020*u^24 + 725098*u^25 - 489056*u^26 - 1375332*u^27 - 766612*u^28 + 820844*u^29 + 1584876*u^30 + 556168*u^31 - 1125869*u^32 - 1478667*u^33 - 114724*u^34 + 1240600*u^35 + 996005*u^36 - 320485*u^37 - 997411*u^38 - 402496*u^39 + 485301*u^40 + 563718*u^41 - 33498*u^42 - 374040*u^43 - 134108*u^44 + 153536*u^45 + 113826*u^46 - 36156*u^47 - 53301*u^48 + 1205*u^49 + 16416*u^50 + 2412*u^51 - 3345*u^52 - 895*u^53 + 415*u^54 + 152*u^55 - 24*u^56 - 11*u^57)\/2" ], [ "(3 + u - 2*u^2 - 20*u^3 - 31*u^4 + 17*u^5 + 161*u^6 + 214*u^7 - 115*u^8 - 830*u^9 - 1060*u^10 + 428*u^11 + 3252*u^12 + 3882*u^13 - 1276*u^14 - 9676*u^15 - 10958*u^16 + 3056*u^17 + 23380*u^18 + 24540*u^19 - 7390*u^20 - 46650*u^21 - 43626*u^22 + 16580*u^23 + 78296*u^24 + 62490*u^25 - 34488*u^26 - 111268*u^27 - 68348*u^28 + 60636*u^29 + 130412*u^30 + 53224*u^31 - 86645*u^32 - 124513*u^33 - 17370*u^34 + 99092*u^35 + 87009*u^36 - 20571*u^37 - 82623*u^38 - 37978*u^39 + 37643*u^40 + 48718*u^41 - 64*u^42 - 31172*u^43 - 12824*u^44 + 12292*u^45 + 10188*u^46 - 2632*u^47 - 4657*u^48 - 69*u^49 + 1414*u^50 + 252*u^51 - 285*u^52 - 85*u^53 + 35*u^54 + 14*u^55 - 2*u^56 - u^57)\/2", "(1 + 3*u + 2*u^2 + 10*u^3 + 15*u^4 - 25*u^5 - 137*u^6 - 174*u^7 + 123*u^8 + 794*u^9 + 1016*u^10 - 438*u^11 - 3208*u^12 - 3842*u^13 + 1256*u^14 + 9644*u^15 + 10962*u^16 - 3044*u^17 - 23380*u^18 - 24542*u^19 + 7390*u^20 + 46650*u^21 + 43626*u^22 - 16580*u^23 - 78296*u^24 - 62490*u^25 + 34488*u^26 + 111268*u^27 + 68348*u^28 - 60636*u^29 - 130412*u^30 - 53224*u^31 + 86645*u^32 + 124513*u^33 + 17370*u^34 - 99092*u^35 - 87009*u^36 + 20571*u^37 + 82623*u^38 + 37978*u^39 - 37643*u^40 - 48718*u^41 + 64*u^42 + 31172*u^43 + 12824*u^44 - 12292*u^45 - 10188*u^46 + 2632*u^47 + 4657*u^48 + 69*u^49 - 1414*u^50 - 252*u^51 + 285*u^52 + 85*u^53 - 35*u^54 - 14*u^55 + 2*u^56 + u^57)\/2" ], "{1, 0}", [ 1, "-u^2" ], [ "1 - u^4 + u^6", "-2*u^4 + 2*u^6 - u^8" ], [ "-u^3", "u - u^3 + u^5" ], [ "-u", "u" ], [ 0, "u" ] ], "Obstruction":-1, "ComplexVolumeN":[ "1.77616 + 0.94992*I", "1.77616 - 0.94992*I", "1.56865 - 3.63401*I", "1.56865 + 3.63401*I", "-0.11517 + 4.84774*I", "-0.11517 - 4.84774*I", "-4.33981 - 1.99854*I", "-4.33981 + 1.99854*I", "-0.45426 - 4.86179*I", "-0.45426 + 4.86179*I", "2.16202 + 0.77457*I", "2.16202 - 0.77457*I", "2.14956 + 9.66192*I", "2.14956 - 9.66192*I", "1.09083 + 1.19632*I", "1.09083 - 1.19632*I", "-5.05702 - 2.63543*I", "-5.05702 + 2.63543*I", "4.07167 + 4.42773*I", "4.07167 - 4.42773*I", "-2.89029 - 9.39325*I", "-2.89029 + 9.39325*I", "-4.36361 + 4.61978*I", "-4.36361 - 4.61978*I", "4.43701 + 1.53415*I", "4.43701 - 1.53415*I", "0.90066 - 2.8886*I", "0.90066 + 2.8886*I", "2.81999 - 3.64889*I", "2.81999 + 3.64889*I", "-1.07636 + 2.53447*I", "-1.07636 - 2.53447*I", "2.74272 + 1.35672*I", "2.74272 - 1.35672*I", "-0.81275 - 1.40752*I", "-0.81275 + 1.40752*I", "-1.79712 + 0.58239*I", "-1.79712 - 0.58239*I", "6.48025 - 0.70893*I", "6.48025 + 0.70893*I", "2.01751 - 7.25755*I", "2.01751 + 7.25755*I", "6.24695 + 8.22888*I", "6.24695 - 8.22888*I", "8.06195 + 2.97069*I", "8.06195 - 2.97069*I", "8.00524 - 6.08837*I", "8.00524 + 6.08837*I", "8.16003 - 0.02626*I", "8.16003 + 0.02626*I", "6.42683 - 5.27485*I", "6.42683 + 5.27485*I", "7.47129 - 9.35808*I", "7.47129 + 9.35808*I", "5.5002 - 14.7239*I", "5.5002 + 14.7239*I", "-0.32061 + 1.54716*I", "-0.32061 - 1.54716*I" ], "uPolysN":[ "1 + 3*u + 7*u^2 + 16*u^3 + 37*u^4 + 87*u^5 + 188*u^6 + 382*u^7 + 742*u^8 + 1337*u^9 + 2324*u^10 + 3816*u^11 + 6064*u^12 + 9232*u^13 + 13688*u^14 + 19520*u^15 + 27310*u^16 + 36794*u^17 + 48894*u^18 + 62608*u^19 + 79406*u^20 + 96958*u^21 + 117860*u^22 + 137500*u^23 + 160666*u^24 + 179324*u^25 + 201770*u^26 + 215576*u^27 + 233832*u^28 + 239020*u^29 + 250152*u^30 + 244240*u^31 + 246777*u^32 + 229587*u^33 + 223967*u^34 + 197888*u^35 + 186317*u^36 + 155599*u^37 + 141332*u^38 + 110782*u^39 + 97048*u^40 + 70711*u^41 + 59734*u^42 + 39960*u^43 + 32536*u^44 + 19688*u^45 + 15428*u^46 + 8296*u^47 + 6237*u^48 + 2915*u^49 + 2091*u^50 + 824*u^51 + 559*u^52 + 177*u^53 + 112*u^54 + 26*u^55 + 15*u^56 + 2*u^57 + u^58", "1 + 5*u + 27*u^2 + 116*u^3 + 409*u^4 + 1133*u^5 + 2768*u^6 + 7174*u^7 + 21380*u^8 + 67155*u^9 + 204140*u^10 + 583720*u^11 + 1566352*u^12 + 3962032*u^13 + 9496312*u^14 + 21653976*u^15 + 47082438*u^16 + 97709766*u^17 + 193600066*u^18 + 366281296*u^19 + 661822418*u^20 + 1142387378*u^21 + 1884550832*u^22 + 2972600492*u^23 + 4485642466*u^24 + 6478724376*u^25 + 8960298330*u^26 + 11870677552*u^27 + 15067849488*u^28 + 18327161392*u^29 + 21359382256*u^30 + 23847510844*u^31 + 25497295365*u^32 + 26091351105*u^33 + 25533925231*u^34 + 23874220260*u^35 + 21300982033*u^36 + 18108540645*u^37 + 14642337000*u^38 + 11237566662*u^39 + 8165977186*u^40 + 5602585289*u^41 + 3617423410*u^42 + 2189917544*u^43 + 1237789484*u^44 + 650126116*u^45 + 315618960*u^46 + 140774892*u^47 + 57292389*u^48 + 21106469*u^49 + 6972347*u^50 + 2041708*u^51 + 522371*u^52 + 114583*u^53 + 20996*u^54 + 3094*u^55 + 345*u^56 + 26*u^57 + u^58", "4 + 4*u - 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28002*u^26 + 145756*u^27 + 179616*u^28 + 7712*u^29 - 191048*u^30 - 183636*u^31 + 33421*u^32 + 211158*u^33 + 141883*u^34 - 81722*u^35 - 186101*u^36 - 66438*u^37 + 103194*u^38 + 120601*u^39 + 335*u^40 - 86361*u^41 - 48654*u^42 + 31236*u^43 + 43996*u^44 + 532*u^45 - 22480*u^46 - 7556*u^47 + 7289*u^48 + 4726*u^49 - 1345*u^50 - 1666*u^51 + 33*u^52 + 370*u^53 + 50*u^54 - 49*u^55 - 12*u^56 + 3*u^57 + u^58", "16 + 168*u + 969*u^2 + 4112*u^3 + 14718*u^4 + 46854*u^5 + 133817*u^6 + 338026*u^7 + 742961*u^8 + 1402449*u^9 + 2232912*u^10 + 2815544*u^11 + 2036692*u^12 - 2433356*u^13 - 14428076*u^14 - 38452800*u^15 - 76784104*u^16 - 124561468*u^17 - 164642590*u^18 - 165021892*u^19 - 80465476*u^20 + 142843636*u^21 + 563117802*u^22 + 1241404516*u^23 + 2240117494*u^24 + 3614592650*u^25 + 5391513318*u^26 + 7536122836*u^27 + 9921439148*u^28 + 12319041024*u^29 + 14426204808*u^30 + 15928767136*u^31 + 16581005424*u^32 + 16273394736*u^33 + 15062491489*u^34 + 13152642048*u^35 + 10838479226*u^36 + 8430799570*u^37 + 6190990441*u^38 + 4291501466*u^39 + 2807295281*u^40 + 1732044713*u^41 + 1007071794*u^42 + 551174080*u^43 + 283516872*u^44 + 136797048*u^45 + 61759724*u^46 + 26008600*u^47 + 10177272*u^48 + 3682484*u^49 + 1224589*u^50 + 371332*u^51 + 101630*u^52 + 24758*u^53 + 5267*u^54 + 950*u^55 + 139*u^56 + 15*u^57 + u^58", "4 + 4*u - 19*u^2 - 16*u^3 + 60*u^4 + 68*u^5 - 129*u^6 - 216*u^7 + 289*u^8 + 499*u^9 - 608*u^10 - 788*u^11 + 968*u^12 + 1012*u^13 - 736*u^14 - 1316*u^15 - 900*u^16 + 1838*u^17 + 4588*u^18 - 2198*u^19 - 10348*u^20 + 1164*u^21 + 17502*u^22 + 2888*u^23 - 24992*u^24 - 10784*u^25 + 31738*u^26 + 21464*u^27 - 36722*u^28 - 32182*u^29 + 39190*u^30 + 39588*u^31 - 38632*u^32 - 41536*u^33 + 35113*u^34 + 37880*u^35 - 29268*u^36 - 30380*u^37 + 22275*u^38 + 21532*u^39 - 15379*u^40 - 13525*u^41 + 9590*u^42 + 7508*u^43 - 5356*u^44 - 3672*u^45 + 2664*u^46 + 1564*u^47 - 1162*u^48 - 574*u^49 + 441*u^50 + 176*u^51 - 140*u^52 - 44*u^53 + 37*u^54 + 8*u^55 - 7*u^56 - u^57 + u^58", "16 + 168*u + 969*u^2 + 4112*u^3 + 14718*u^4 + 46854*u^5 + 133817*u^6 + 338026*u^7 + 742961*u^8 + 1402449*u^9 + 2232912*u^10 + 2815544*u^11 + 2036692*u^12 - 2433356*u^13 - 14428076*u^14 - 38452800*u^15 - 76784104*u^16 - 124561468*u^17 - 164642590*u^18 - 165021892*u^19 - 80465476*u^20 + 142843636*u^21 + 563117802*u^22 + 1241404516*u^23 + 2240117494*u^24 + 3614592650*u^25 + 5391513318*u^26 + 7536122836*u^27 + 9921439148*u^28 + 12319041024*u^29 + 14426204808*u^30 + 15928767136*u^31 + 16581005424*u^32 + 16273394736*u^33 + 15062491489*u^34 + 13152642048*u^35 + 10838479226*u^36 + 8430799570*u^37 + 6190990441*u^38 + 4291501466*u^39 + 2807295281*u^40 + 1732044713*u^41 + 1007071794*u^42 + 551174080*u^43 + 283516872*u^44 + 136797048*u^45 + 61759724*u^46 + 26008600*u^47 + 10177272*u^48 + 3682484*u^49 + 1224589*u^50 + 371332*u^51 + 101630*u^52 + 24758*u^53 + 5267*u^54 + 950*u^55 + 139*u^56 + 15*u^57 + u^58", "1 + 2*u + 3*u^2 + 14*u^3 + 35*u^4 + 2*u^5 - 166*u^6 - 343*u^7 - 79*u^8 + 931*u^9 + 1860*u^10 + 612*u^11 - 3672*u^12 - 7108*u^13 - 2596*u^14 + 10940*u^15 + 20626*u^16 + 7904*u^17 - 26434*u^18 - 47920*u^19 - 17150*u^20 + 54040*u^21 + 90276*u^22 + 27046*u^23 - 94876*u^24 - 140786*u^25 - 28002*u^26 + 145756*u^27 + 179616*u^28 + 7712*u^29 - 191048*u^30 - 183636*u^31 + 33421*u^32 + 211158*u^33 + 141883*u^34 - 81722*u^35 - 186101*u^36 - 66438*u^37 + 103194*u^38 + 120601*u^39 + 335*u^40 - 86361*u^41 - 48654*u^42 + 31236*u^43 + 43996*u^44 + 532*u^45 - 22480*u^46 - 7556*u^47 + 7289*u^48 + 4726*u^49 - 1345*u^50 - 1666*u^51 + 33*u^52 + 370*u^53 + 50*u^54 - 49*u^55 - 12*u^56 + 3*u^57 + u^58", "1 + 2*u + 23*u^2 - 326*u^3 + 1387*u^4 - 2498*u^5 - 1302*u^6 + 19127*u^7 - 51161*u^8 + 57959*u^9 + 63540*u^10 - 410856*u^11 + 817480*u^12 - 556720*u^13 - 1386816*u^14 + 4929736*u^15 - 7084194*u^16 + 2107700*u^17 + 14014570*u^18 - 35523468*u^19 + 41546478*u^20 - 3816292*u^21 - 86360276*u^22 + 183679918*u^23 - 183536672*u^24 - 14062486*u^25 + 381062034*u^26 - 678676936*u^27 + 555584264*u^28 + 150838600*u^29 - 1128242440*u^30 + 1654364020*u^31 - 1113118271*u^32 - 405449046*u^33 + 2002067395*u^34 - 2570891414*u^35 + 1650506547*u^36 + 211403678*u^37 - 1885800542*u^38 + 2483340503*u^39 - 1884768235*u^40 + 644032371*u^41 + 515775898*u^42 - 1153502312*u^43 + 1233800036*u^44 - 973606440*u^45 + 622471776*u^46 - 334007784*u^47 + 152727717*u^48 - 59849178*u^49 + 20092079*u^50 - 5748834*u^51 + 1388017*u^52 - 278366*u^53 + 45274*u^54 - 5755*u^55 + 538*u^56 - 33*u^57 + u^58" ], "uPolys":[ "1 + 3*u + 7*u^2 + 16*u^3 + 37*u^4 + 87*u^5 + 188*u^6 + 382*u^7 + 742*u^8 + 1337*u^9 + 2324*u^10 + 3816*u^11 + 6064*u^12 + 9232*u^13 + 13688*u^14 + 19520*u^15 + 27310*u^16 + 36794*u^17 + 48894*u^18 + 62608*u^19 + 79406*u^20 + 96958*u^21 + 117860*u^22 + 137500*u^23 + 160666*u^24 + 179324*u^25 + 201770*u^26 + 215576*u^27 + 233832*u^28 + 239020*u^29 + 250152*u^30 + 244240*u^31 + 246777*u^32 + 229587*u^33 + 223967*u^34 + 197888*u^35 + 186317*u^36 + 155599*u^37 + 141332*u^38 + 110782*u^39 + 97048*u^40 + 70711*u^41 + 59734*u^42 + 39960*u^43 + 32536*u^44 + 19688*u^45 + 15428*u^46 + 8296*u^47 + 6237*u^48 + 2915*u^49 + 2091*u^50 + 824*u^51 + 559*u^52 + 177*u^53 + 112*u^54 + 26*u^55 + 15*u^56 + 2*u^57 + u^58", "1 + 5*u + 27*u^2 + 116*u^3 + 409*u^4 + 1133*u^5 + 2768*u^6 + 7174*u^7 + 21380*u^8 + 67155*u^9 + 204140*u^10 + 583720*u^11 + 1566352*u^12 + 3962032*u^13 + 9496312*u^14 + 21653976*u^15 + 47082438*u^16 + 97709766*u^17 + 193600066*u^18 + 366281296*u^19 + 661822418*u^20 + 1142387378*u^21 + 1884550832*u^22 + 2972600492*u^23 + 4485642466*u^24 + 6478724376*u^25 + 8960298330*u^26 + 11870677552*u^27 + 15067849488*u^28 + 18327161392*u^29 + 21359382256*u^30 + 23847510844*u^31 + 25497295365*u^32 + 26091351105*u^33 + 25533925231*u^34 + 23874220260*u^35 + 21300982033*u^36 + 18108540645*u^37 + 14642337000*u^38 + 11237566662*u^39 + 8165977186*u^40 + 5602585289*u^41 + 3617423410*u^42 + 2189917544*u^43 + 1237789484*u^44 + 650126116*u^45 + 315618960*u^46 + 140774892*u^47 + 57292389*u^48 + 21106469*u^49 + 6972347*u^50 + 2041708*u^51 + 522371*u^52 + 114583*u^53 + 20996*u^54 + 3094*u^55 + 345*u^56 + 26*u^57 + u^58", "4 + 4*u - 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a" ], "{1, 0}", "{1, -1}", "{1, -1}", "{1, -1}", "{1, -1}", "{0, -1}" ], "Obstruction":1, "ComplexVolumeN":[ "1.64493 - 2.02988*I", "1.64493 + 2.02988*I" ], "uPolysN":[ "1 + u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2", "1 + u + u^2", "1 + 2*u + u^2", "u^2", "u^2", "u^2", "1 - 2*u + u^2", "1 - 2*u + u^2" ], "uPolys":[ "1 + u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2", "1 + u + u^2", "(1 + u)^2", "u^2", "u^2", "u^2", "(-1 + u)^2", "(-1 + u)^2" ], "aCuspShape":"-1 + 2*(1 + 2*a)", "RepresentationsN":[ [ "u->-1.", "a->0.5 + 0.866025 I", "b->-0.5 - 0.866025 I" ], [ "u->-1.", "a->0.5 - 0.866025 I", "b->-0.5 + 0.866025 I" ] ], "Epsilon":2.44949, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "1 + u + u^2", "1 + u + u^2", "1 - u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2}", 2.02988 ], "ij_list":[ [ "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{6, 11}", "{7, 11}", "{8, 11}", "{9, 11}", "{10, 11}" ], [ "{1, 6}", "{2, 11}", "{3, 4}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ], [ "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{1, 11}" ], [ "{1, 5}", "{2, 3}", "{2, 4}", "{2, 5}", "{5, 6}" ], [ "{3, 11}", "{4, 11}", "{5, 11}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 5}", "{3, 6}", "{4, 5}", "{4, 6}" ] ], "SortedReprnIndices":"{2, 1}", "aCuspShapeN":[ "3.`4.9665266051846935 + 3.464101615137754587`5.028995973488844*I", "3.`4.9665266051846935 - 3.464101615137754587`5.028995973488844*I" ], "Abelian":false }, { "IdealName":"abJ11a_11_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":8.9125e-2, "TimingZeroDimVars":7.1669e-2, "TimingmagmaVCompNormalize":7.2784e-2, "TimingNumberOfSols":3.2909e-2, "TimingIsRadical":2.202e-3, "TimingArcColoring":8.181100000000001e-2, "TimingObstruction":4.88e-4, "TimingComplexVolumeN":0.436327, "TimingaCuspShapeN":5.058e-3, "TiminguValues":0.697142, "TiminguPolysN":7.900000000000002e-5, "TiminguPolys":0.873053, "TimingaCuspShape":9.8955e-2, "TimingRepresentationsN":2.9951e-2, "TiminguValues_ij":0.205891, "TiminguPoly_ij":0.185629, "TiminguPolys_ij_N":3.1e-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}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "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}", "{1, 11}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{2, 11}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{3, 11}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{4, 11}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{5, 11}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{6, 11}", "{7, 8}", "{7, 9}", "{7, 10}", "{7, 11}", "{8, 9}", "{8, 10}", "{8, 11}", "{9, 10}", "{9, 11}", "{10, 11}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(1 + u + u^2)*(1 + 3*u + 7*u^2 + 16*u^3 + 37*u^4 + 87*u^5 + 188*u^6 + 382*u^7 + 742*u^8 + 1337*u^9 + 2324*u^10 + 3816*u^11 + 6064*u^12 + 9232*u^13 + 13688*u^14 + 19520*u^15 + 27310*u^16 + 36794*u^17 + 48894*u^18 + 62608*u^19 + 79406*u^20 + 96958*u^21 + 117860*u^22 + 137500*u^23 + 160666*u^24 + 179324*u^25 + 201770*u^26 + 215576*u^27 + 233832*u^28 + 239020*u^29 + 250152*u^30 + 244240*u^31 + 246777*u^32 + 229587*u^33 + 223967*u^34 + 197888*u^35 + 186317*u^36 + 155599*u^37 + 141332*u^38 + 110782*u^39 + 97048*u^40 + 70711*u^41 + 59734*u^42 + 39960*u^43 + 32536*u^44 + 19688*u^45 + 15428*u^46 + 8296*u^47 + 6237*u^48 + 2915*u^49 + 2091*u^50 + 824*u^51 + 559*u^52 + 177*u^53 + 112*u^54 + 26*u^55 + 15*u^56 + 2*u^57 + u^58)", "(1 + u + u^2)*(1 + 5*u + 27*u^2 + 116*u^3 + 409*u^4 + 1133*u^5 + 2768*u^6 + 7174*u^7 + 21380*u^8 + 67155*u^9 + 204140*u^10 + 583720*u^11 + 1566352*u^12 + 3962032*u^13 + 9496312*u^14 + 21653976*u^15 + 47082438*u^16 + 97709766*u^17 + 193600066*u^18 + 366281296*u^19 + 661822418*u^20 + 1142387378*u^21 + 1884550832*u^22 + 2972600492*u^23 + 4485642466*u^24 + 6478724376*u^25 + 8960298330*u^26 + 11870677552*u^27 + 15067849488*u^28 + 18327161392*u^29 + 21359382256*u^30 + 23847510844*u^31 + 25497295365*u^32 + 26091351105*u^33 + 25533925231*u^34 + 23874220260*u^35 + 21300982033*u^36 + 18108540645*u^37 + 14642337000*u^38 + 11237566662*u^39 + 8165977186*u^40 + 5602585289*u^41 + 3617423410*u^42 + 2189917544*u^43 + 1237789484*u^44 + 650126116*u^45 + 315618960*u^46 + 140774892*u^47 + 57292389*u^48 + 21106469*u^49 + 6972347*u^50 + 2041708*u^51 + 522371*u^52 + 114583*u^53 + 20996*u^54 + 3094*u^55 + 345*u^56 + 26*u^57 + u^58)", "u^2*(4 + 4*u - 19*u^2 - 16*u^3 + 60*u^4 + 68*u^5 - 129*u^6 - 216*u^7 + 289*u^8 + 499*u^9 - 608*u^10 - 788*u^11 + 968*u^12 + 1012*u^13 - 736*u^14 - 1316*u^15 - 900*u^16 + 1838*u^17 + 4588*u^18 - 2198*u^19 - 10348*u^20 + 1164*u^21 + 17502*u^22 + 2888*u^23 - 24992*u^24 - 10784*u^25 + 31738*u^26 + 21464*u^27 - 36722*u^28 - 32182*u^29 + 39190*u^30 + 39588*u^31 - 38632*u^32 - 41536*u^33 + 35113*u^34 + 37880*u^35 - 29268*u^36 - 30380*u^37 + 22275*u^38 + 21532*u^39 - 15379*u^40 - 13525*u^41 + 9590*u^42 + 7508*u^43 - 5356*u^44 - 3672*u^45 + 2664*u^46 + 1564*u^47 - 1162*u^48 - 574*u^49 + 441*u^50 + 176*u^51 - 140*u^52 - 44*u^53 + 37*u^54 + 8*u^55 - 7*u^56 - u^57 + u^58)", "(1 - u + u^2)*(1 + 3*u + 7*u^2 + 16*u^3 + 37*u^4 + 87*u^5 + 188*u^6 + 382*u^7 + 742*u^8 + 1337*u^9 + 2324*u^10 + 3816*u^11 + 6064*u^12 + 9232*u^13 + 13688*u^14 + 19520*u^15 + 27310*u^16 + 36794*u^17 + 48894*u^18 + 62608*u^19 + 79406*u^20 + 96958*u^21 + 117860*u^22 + 137500*u^23 + 160666*u^24 + 179324*u^25 + 201770*u^26 + 215576*u^27 + 233832*u^28 + 239020*u^29 + 250152*u^30 + 244240*u^31 + 246777*u^32 + 229587*u^33 + 223967*u^34 + 197888*u^35 + 186317*u^36 + 155599*u^37 + 141332*u^38 + 110782*u^39 + 97048*u^40 + 70711*u^41 + 59734*u^42 + 39960*u^43 + 32536*u^44 + 19688*u^45 + 15428*u^46 + 8296*u^47 + 6237*u^48 + 2915*u^49 + 2091*u^50 + 824*u^51 + 559*u^52 + 177*u^53 + 112*u^54 + 26*u^55 + 15*u^56 + 2*u^57 + u^58)", "(1 + u + u^2)*(1 - 5*u + 39*u^2 - 332*u^3 + 1829*u^4 - 5583*u^5 + 11386*u^6 - 15452*u^7 + 23294*u^8 - 33755*u^9 + 37652*u^10 - 48948*u^11 + 79464*u^12 - 85910*u^13 + 53882*u^14 - 276038*u^15 + 439574*u^16 + 59762*u^17 - 29722*u^18 - 866806*u^19 + 800710*u^20 - 104742*u^21 + 542116*u^22 - 1158420*u^23 + 831042*u^24 - 650992*u^25 + 1020426*u^26 - 1073228*u^27 + 884952*u^28 - 845932*u^29 + 930644*u^30 - 787234*u^31 + 638033*u^32 - 589649*u^33 + 551723*u^34 - 399162*u^35 + 308697*u^36 - 258883*u^37 + 211034*u^38 - 134614*u^39 + 94600*u^40 - 70957*u^41 + 51774*u^42 - 28384*u^43 + 17912*u^44 - 12108*u^45 + 7992*u^46 - 3634*u^47 + 2029*u^48 - 1245*u^49 + 763*u^50 - 262*u^51 + 123*u^52 - 73*u^53 + 42*u^54 - 8*u^55 + 3*u^56 - 2*u^57 + u^58)", "(1 + u)^2*(1 + 2*u + 3*u^2 + 14*u^3 + 35*u^4 + 2*u^5 - 166*u^6 - 343*u^7 - 79*u^8 + 931*u^9 + 1860*u^10 + 612*u^11 - 3672*u^12 - 7108*u^13 - 2596*u^14 + 10940*u^15 + 20626*u^16 + 7904*u^17 - 26434*u^18 - 47920*u^19 - 17150*u^20 + 54040*u^21 + 90276*u^22 + 27046*u^23 - 94876*u^24 - 140786*u^25 - 28002*u^26 + 145756*u^27 + 179616*u^28 + 7712*u^29 - 191048*u^30 - 183636*u^31 + 33421*u^32 + 211158*u^33 + 141883*u^34 - 81722*u^35 - 186101*u^36 - 66438*u^37 + 103194*u^38 + 120601*u^39 + 335*u^40 - 86361*u^41 - 48654*u^42 + 31236*u^43 + 43996*u^44 + 532*u^45 - 22480*u^46 - 7556*u^47 + 7289*u^48 + 4726*u^49 - 1345*u^50 - 1666*u^51 + 33*u^52 + 370*u^53 + 50*u^54 - 49*u^55 - 12*u^56 + 3*u^57 + u^58)", "u^2*(16 + 168*u + 969*u^2 + 4112*u^3 + 14718*u^4 + 46854*u^5 + 133817*u^6 + 338026*u^7 + 742961*u^8 + 1402449*u^9 + 2232912*u^10 + 2815544*u^11 + 2036692*u^12 - 2433356*u^13 - 14428076*u^14 - 38452800*u^15 - 76784104*u^16 - 124561468*u^17 - 164642590*u^18 - 165021892*u^19 - 80465476*u^20 + 142843636*u^21 + 563117802*u^22 + 1241404516*u^23 + 2240117494*u^24 + 3614592650*u^25 + 5391513318*u^26 + 7536122836*u^27 + 9921439148*u^28 + 12319041024*u^29 + 14426204808*u^30 + 15928767136*u^31 + 16581005424*u^32 + 16273394736*u^33 + 15062491489*u^34 + 13152642048*u^35 + 10838479226*u^36 + 8430799570*u^37 + 6190990441*u^38 + 4291501466*u^39 + 2807295281*u^40 + 1732044713*u^41 + 1007071794*u^42 + 551174080*u^43 + 283516872*u^44 + 136797048*u^45 + 61759724*u^46 + 26008600*u^47 + 10177272*u^48 + 3682484*u^49 + 1224589*u^50 + 371332*u^51 + 101630*u^52 + 24758*u^53 + 5267*u^54 + 950*u^55 + 139*u^56 + 15*u^57 + u^58)", "u^2*(4 + 4*u - 19*u^2 - 16*u^3 + 60*u^4 + 68*u^5 - 129*u^6 - 216*u^7 + 289*u^8 + 499*u^9 - 608*u^10 - 788*u^11 + 968*u^12 + 1012*u^13 - 736*u^14 - 1316*u^15 - 900*u^16 + 1838*u^17 + 4588*u^18 - 2198*u^19 - 10348*u^20 + 1164*u^21 + 17502*u^22 + 2888*u^23 - 24992*u^24 - 10784*u^25 + 31738*u^26 + 21464*u^27 - 36722*u^28 - 32182*u^29 + 39190*u^30 + 39588*u^31 - 38632*u^32 - 41536*u^33 + 35113*u^34 + 37880*u^35 - 29268*u^36 - 30380*u^37 + 22275*u^38 + 21532*u^39 - 15379*u^40 - 13525*u^41 + 9590*u^42 + 7508*u^43 - 5356*u^44 - 3672*u^45 + 2664*u^46 + 1564*u^47 - 1162*u^48 - 574*u^49 + 441*u^50 + 176*u^51 - 140*u^52 - 44*u^53 + 37*u^54 + 8*u^55 - 7*u^56 - u^57 + u^58)", "u^2*(16 + 168*u + 969*u^2 + 4112*u^3 + 14718*u^4 + 46854*u^5 + 133817*u^6 + 338026*u^7 + 742961*u^8 + 1402449*u^9 + 2232912*u^10 + 2815544*u^11 + 2036692*u^12 - 2433356*u^13 - 14428076*u^14 - 38452800*u^15 - 76784104*u^16 - 124561468*u^17 - 164642590*u^18 - 165021892*u^19 - 80465476*u^20 + 142843636*u^21 + 563117802*u^22 + 1241404516*u^23 + 2240117494*u^24 + 3614592650*u^25 + 5391513318*u^26 + 7536122836*u^27 + 9921439148*u^28 + 12319041024*u^29 + 14426204808*u^30 + 15928767136*u^31 + 16581005424*u^32 + 16273394736*u^33 + 15062491489*u^34 + 13152642048*u^35 + 10838479226*u^36 + 8430799570*u^37 + 6190990441*u^38 + 4291501466*u^39 + 2807295281*u^40 + 1732044713*u^41 + 1007071794*u^42 + 551174080*u^43 + 283516872*u^44 + 136797048*u^45 + 61759724*u^46 + 26008600*u^47 + 10177272*u^48 + 3682484*u^49 + 1224589*u^50 + 371332*u^51 + 101630*u^52 + 24758*u^53 + 5267*u^54 + 950*u^55 + 139*u^56 + 15*u^57 + u^58)", "(-1 + u)^2*(1 + 2*u + 3*u^2 + 14*u^3 + 35*u^4 + 2*u^5 - 166*u^6 - 343*u^7 - 79*u^8 + 931*u^9 + 1860*u^10 + 612*u^11 - 3672*u^12 - 7108*u^13 - 2596*u^14 + 10940*u^15 + 20626*u^16 + 7904*u^17 - 26434*u^18 - 47920*u^19 - 17150*u^20 + 54040*u^21 + 90276*u^22 + 27046*u^23 - 94876*u^24 - 140786*u^25 - 28002*u^26 + 145756*u^27 + 179616*u^28 + 7712*u^29 - 191048*u^30 - 183636*u^31 + 33421*u^32 + 211158*u^33 + 141883*u^34 - 81722*u^35 - 186101*u^36 - 66438*u^37 + 103194*u^38 + 120601*u^39 + 335*u^40 - 86361*u^41 - 48654*u^42 + 31236*u^43 + 43996*u^44 + 532*u^45 - 22480*u^46 - 7556*u^47 + 7289*u^48 + 4726*u^49 - 1345*u^50 - 1666*u^51 + 33*u^52 + 370*u^53 + 50*u^54 - 49*u^55 - 12*u^56 + 3*u^57 + u^58)", "(-1 + u)^2*(1 + 2*u + 23*u^2 - 326*u^3 + 1387*u^4 - 2498*u^5 - 1302*u^6 + 19127*u^7 - 51161*u^8 + 57959*u^9 + 63540*u^10 - 410856*u^11 + 817480*u^12 - 556720*u^13 - 1386816*u^14 + 4929736*u^15 - 7084194*u^16 + 2107700*u^17 + 14014570*u^18 - 35523468*u^19 + 41546478*u^20 - 3816292*u^21 - 86360276*u^22 + 183679918*u^23 - 183536672*u^24 - 14062486*u^25 + 381062034*u^26 - 678676936*u^27 + 555584264*u^28 + 150838600*u^29 - 1128242440*u^30 + 1654364020*u^31 - 1113118271*u^32 - 405449046*u^33 + 2002067395*u^34 - 2570891414*u^35 + 1650506547*u^36 + 211403678*u^37 - 1885800542*u^38 + 2483340503*u^39 - 1884768235*u^40 + 644032371*u^41 + 515775898*u^42 - 1153502312*u^43 + 1233800036*u^44 - 973606440*u^45 + 622471776*u^46 - 334007784*u^47 + 152727717*u^48 - 59849178*u^49 + 20092079*u^50 - 5748834*u^51 + 1388017*u^52 - 278366*u^53 + 45274*u^54 - 5755*u^55 + 538*u^56 - 33*u^57 + u^58)" ], "RileyPolyC":[ "(1 + y + y^2)*(1 + 5*y + 27*y^2 + 116*y^3 + 409*y^4 + 1133*y^5 + 2768*y^6 + 7174*y^7 + 21380*y^8 + 67155*y^9 + 204140*y^10 + 583720*y^11 + 1566352*y^12 + 3962032*y^13 + 9496312*y^14 + 21653976*y^15 + 47082438*y^16 + 97709766*y^17 + 193600066*y^18 + 366281296*y^19 + 661822418*y^20 + 1142387378*y^21 + 1884550832*y^22 + 2972600492*y^23 + 4485642466*y^24 + 6478724376*y^25 + 8960298330*y^26 + 11870677552*y^27 + 15067849488*y^28 + 18327161392*y^29 + 21359382256*y^30 + 23847510844*y^31 + 25497295365*y^32 + 26091351105*y^33 + 25533925231*y^34 + 23874220260*y^35 + 21300982033*y^36 + 18108540645*y^37 + 14642337000*y^38 + 11237566662*y^39 + 8165977186*y^40 + 5602585289*y^41 + 3617423410*y^42 + 2189917544*y^43 + 1237789484*y^44 + 650126116*y^45 + 315618960*y^46 + 140774892*y^47 + 57292389*y^48 + 21106469*y^49 + 6972347*y^50 + 2041708*y^51 + 522371*y^52 + 114583*y^53 + 20996*y^54 + 3094*y^55 + 345*y^56 + 26*y^57 + y^58)", "(1 + y + y^2)*(1 + 29*y + 387*y^2 + 2836*y^3 + 24917*y^4 + 207417*y^5 + 1633484*y^6 + 10238966*y^7 + 53484456*y^8 + 234192883*y^9 + 867360412*y^10 + 2720970496*y^11 + 7262462744*y^12 + 16549599512*y^13 + 32286337360*y^14 + 53885995480*y^15 + 76514048958*y^16 + 91043713798*y^17 + 87629096106*y^18 + 61858831720*y^19 + 19579878618*y^20 - 24230837014*y^21 - 52915827680*y^22 - 57427010092*y^23 - 40707876294*y^24 - 14719504056*y^25 + 7421218954*y^26 + 18089297984*y^27 + 17347592552*y^28 + 10141867160*y^29 + 2300225664*y^30 - 2726005636*y^31 - 4172522615*y^32 - 3278944363*y^33 - 1542978001*y^34 - 139968988*y^35 + 595634965*y^36 + 712906033*y^37 + 534850932*y^38 + 279351470*y^39 + 95957670*y^40 - 1157663*y^41 - 27963462*y^42 - 24293648*y^43 - 11673684*y^44 - 2659636*y^45 + 1616824*y^46 + 2379828*y^47 + 1815737*y^48 + 1026097*y^49 + 479875*y^50 + 187884*y^51 + 63111*y^52 + 17859*y^53 + 4280*y^54 + 830*y^55 + 129*y^56 + 14*y^57 + y^58)", "y^2*(16 - 168*y + 969*y^2 - 4112*y^3 + 14718*y^4 - 46854*y^5 + 133817*y^6 - 338026*y^7 + 742961*y^8 - 1402449*y^9 + 2232912*y^10 - 2815544*y^11 + 2036692*y^12 + 2433356*y^13 - 14428076*y^14 + 38452800*y^15 - 76784104*y^16 + 124561468*y^17 - 164642590*y^18 + 165021892*y^19 - 80465476*y^20 - 142843636*y^21 + 563117802*y^22 - 1241404516*y^23 + 2240117494*y^24 - 3614592650*y^25 + 5391513318*y^26 - 7536122836*y^27 + 9921439148*y^28 - 12319041024*y^29 + 14426204808*y^30 - 15928767136*y^31 + 16581005424*y^32 - 16273394736*y^33 + 15062491489*y^34 - 13152642048*y^35 + 10838479226*y^36 - 8430799570*y^37 + 6190990441*y^38 - 4291501466*y^39 + 2807295281*y^40 - 1732044713*y^41 + 1007071794*y^42 - 551174080*y^43 + 283516872*y^44 - 136797048*y^45 + 61759724*y^46 - 26008600*y^47 + 10177272*y^48 - 3682484*y^49 + 1224589*y^50 - 371332*y^51 + 101630*y^52 - 24758*y^53 + 5267*y^54 - 950*y^55 + 139*y^56 - 15*y^57 + y^58)", "(1 + y + y^2)*(1 + 5*y + 27*y^2 + 116*y^3 + 409*y^4 + 1133*y^5 + 2768*y^6 + 7174*y^7 + 21380*y^8 + 67155*y^9 + 204140*y^10 + 583720*y^11 + 1566352*y^12 + 3962032*y^13 + 9496312*y^14 + 21653976*y^15 + 47082438*y^16 + 97709766*y^17 + 193600066*y^18 + 366281296*y^19 + 661822418*y^20 + 1142387378*y^21 + 1884550832*y^22 + 2972600492*y^23 + 4485642466*y^24 + 6478724376*y^25 + 8960298330*y^26 + 11870677552*y^27 + 15067849488*y^28 + 18327161392*y^29 + 21359382256*y^30 + 23847510844*y^31 + 25497295365*y^32 + 26091351105*y^33 + 25533925231*y^34 + 23874220260*y^35 + 21300982033*y^36 + 18108540645*y^37 + 14642337000*y^38 + 11237566662*y^39 + 8165977186*y^40 + 5602585289*y^41 + 3617423410*y^42 + 2189917544*y^43 + 1237789484*y^44 + 650126116*y^45 + 315618960*y^46 + 140774892*y^47 + 57292389*y^48 + 21106469*y^49 + 6972347*y^50 + 2041708*y^51 + 522371*y^52 + 114583*y^53 + 20996*y^54 + 3094*y^55 + 345*y^56 + 26*y^57 + y^58)", "(1 + y + y^2)*(1 + 53*y + 1859*y^2 - 620*y^3 + 418305*y^4 + 1774657*y^5 + 22506400*y^6 + 25454734*y^7 + 46260528*y^8 + 961579*y^9 - 1056680884*y^10 + 1823334068*y^11 - 1811528712*y^12 + 1462006908*y^13 + 6584241984*y^14 - 50719059420*y^15 + 186294138450*y^16 - 420562772066*y^17 + 712190189426*y^18 - 876273990396*y^19 + 957909891718*y^20 - 770763757270*y^21 + 665392635168*y^22 - 342606811180*y^23 + 313296690970*y^24 + 4165800760*y^25 + 152248006986*y^26 + 163647247164*y^27 + 146525301768*y^28 + 187039374040*y^29 + 156331222104*y^30 + 148671309016*y^31 + 128225469705*y^32 + 93942597105*y^33 + 79634038519*y^34 + 48482227532*y^35 + 38699821725*y^36 + 20441644017*y^37 + 14987921744*y^38 + 7005533482*y^39 + 4670816378*y^40 + 1942623129*y^41 + 1174652746*y^42 + 432789664*y^43 + 237526780*y^44 + 76533868*y^45 + 38269176*y^46 + 10554480*y^47 + 4846585*y^48 + 1106757*y^49 + 473443*y^50 + 84920*y^51 + 34671*y^52 + 4467*y^53 + 1812*y^54 + 142*y^55 + 61*y^56 + 2*y^57 + y^58)", "(-1 + y)^2*(1 + 2*y + 23*y^2 - 326*y^3 + 1387*y^4 - 2498*y^5 - 1302*y^6 + 19127*y^7 - 51161*y^8 + 57959*y^9 + 63540*y^10 - 410856*y^11 + 817480*y^12 - 556720*y^13 - 1386816*y^14 + 4929736*y^15 - 7084194*y^16 + 2107700*y^17 + 14014570*y^18 - 35523468*y^19 + 41546478*y^20 - 3816292*y^21 - 86360276*y^22 + 183679918*y^23 - 183536672*y^24 - 14062486*y^25 + 381062034*y^26 - 678676936*y^27 + 555584264*y^28 + 150838600*y^29 - 1128242440*y^30 + 1654364020*y^31 - 1113118271*y^32 - 405449046*y^33 + 2002067395*y^34 - 2570891414*y^35 + 1650506547*y^36 + 211403678*y^37 - 1885800542*y^38 + 2483340503*y^39 - 1884768235*y^40 + 644032371*y^41 + 515775898*y^42 - 1153502312*y^43 + 1233800036*y^44 - 973606440*y^45 + 622471776*y^46 - 334007784*y^47 + 152727717*y^48 - 59849178*y^49 + 20092079*y^50 - 5748834*y^51 + 1388017*y^52 - 278366*y^53 + 45274*y^54 - 5755*y^55 + 538*y^56 - 33*y^57 + y^58)", "y^2*(256 + 2784*y + 28305*y^2 + 154140*y^3 + 827590*y^4 + 3902810*y^5 + 13843317*y^6 + 35338762*y^7 + 92192869*y^8 + 36144631*y^9 - 114055468*y^10 - 2195695056*y^11 - 9187153400*y^12 - 20853951384*y^13 - 26555328616*y^14 + 53162186784*y^15 + 418612197640*y^16 + 1325964090048*y^17 + 3094315851062*y^18 + 6164826418416*y^19 + 10788172389972*y^20 + 16762367505220*y^21 + 23887000498930*y^22 + 32121796983828*y^23 + 40563975998906*y^24 + 46849267041358*y^25 + 48429368471402*y^26 + 44381446607264*y^27 + 35881961792640*y^28 + 25372180898152*y^29 + 15404989695888*y^30 + 7792556577752*y^31 + 3268225832248*y^32 + 1604301038276*y^33 + 1943582047181*y^34 + 3182949796028*y^35 + 4356825512926*y^36 + 4908883564354*y^37 + 4733621859733*y^38 + 4022917181146*y^39 + 3066259344229*y^40 + 2113978220287*y^41 + 1321439570706*y^42 + 747728624656*y^43 + 381410213736*y^44 + 174384345432*y^45 + 70984411868*y^46 + 25534051624*y^47 + 8051093940*y^48 + 2205418784*y^49 + 519543685*y^50 + 103996996*y^51 + 17425578*y^52 + 2396822*y^53 + 263447*y^54 + 22246*y^55 + 1355*y^56 + 53*y^57 + y^58)", "y^2*(16 - 168*y + 969*y^2 - 4112*y^3 + 14718*y^4 - 46854*y^5 + 133817*y^6 - 338026*y^7 + 742961*y^8 - 1402449*y^9 + 2232912*y^10 - 2815544*y^11 + 2036692*y^12 + 2433356*y^13 - 14428076*y^14 + 38452800*y^15 - 76784104*y^16 + 124561468*y^17 - 164642590*y^18 + 165021892*y^19 - 80465476*y^20 - 142843636*y^21 + 563117802*y^22 - 1241404516*y^23 + 2240117494*y^24 - 3614592650*y^25 + 5391513318*y^26 - 7536122836*y^27 + 9921439148*y^28 - 12319041024*y^29 + 14426204808*y^30 - 15928767136*y^31 + 16581005424*y^32 - 16273394736*y^33 + 15062491489*y^34 - 13152642048*y^35 + 10838479226*y^36 - 8430799570*y^37 + 6190990441*y^38 - 4291501466*y^39 + 2807295281*y^40 - 1732044713*y^41 + 1007071794*y^42 - 551174080*y^43 + 283516872*y^44 - 136797048*y^45 + 61759724*y^46 - 26008600*y^47 + 10177272*y^48 - 3682484*y^49 + 1224589*y^50 - 371332*y^51 + 101630*y^52 - 24758*y^53 + 5267*y^54 - 950*y^55 + 139*y^56 - 15*y^57 + y^58)", "y^2*(256 + 2784*y + 28305*y^2 + 154140*y^3 + 827590*y^4 + 3902810*y^5 + 13843317*y^6 + 35338762*y^7 + 92192869*y^8 + 36144631*y^9 - 114055468*y^10 - 2195695056*y^11 - 9187153400*y^12 - 20853951384*y^13 - 26555328616*y^14 + 53162186784*y^15 + 418612197640*y^16 + 1325964090048*y^17 + 3094315851062*y^18 + 6164826418416*y^19 + 10788172389972*y^20 + 16762367505220*y^21 + 23887000498930*y^22 + 32121796983828*y^23 + 40563975998906*y^24 + 46849267041358*y^25 + 48429368471402*y^26 + 44381446607264*y^27 + 35881961792640*y^28 + 25372180898152*y^29 + 15404989695888*y^30 + 7792556577752*y^31 + 3268225832248*y^32 + 1604301038276*y^33 + 1943582047181*y^34 + 3182949796028*y^35 + 4356825512926*y^36 + 4908883564354*y^37 + 4733621859733*y^38 + 4022917181146*y^39 + 3066259344229*y^40 + 2113978220287*y^41 + 1321439570706*y^42 + 747728624656*y^43 + 381410213736*y^44 + 174384345432*y^45 + 70984411868*y^46 + 25534051624*y^47 + 8051093940*y^48 + 2205418784*y^49 + 519543685*y^50 + 103996996*y^51 + 17425578*y^52 + 2396822*y^53 + 263447*y^54 + 22246*y^55 + 1355*y^56 + 53*y^57 + y^58)", "(-1 + y)^2*(1 + 2*y + 23*y^2 - 326*y^3 + 1387*y^4 - 2498*y^5 - 1302*y^6 + 19127*y^7 - 51161*y^8 + 57959*y^9 + 63540*y^10 - 410856*y^11 + 817480*y^12 - 556720*y^13 - 1386816*y^14 + 4929736*y^15 - 7084194*y^16 + 2107700*y^17 + 14014570*y^18 - 35523468*y^19 + 41546478*y^20 - 3816292*y^21 - 86360276*y^22 + 183679918*y^23 - 183536672*y^24 - 14062486*y^25 + 381062034*y^26 - 678676936*y^27 + 555584264*y^28 + 150838600*y^29 - 1128242440*y^30 + 1654364020*y^31 - 1113118271*y^32 - 405449046*y^33 + 2002067395*y^34 - 2570891414*y^35 + 1650506547*y^36 + 211403678*y^37 - 1885800542*y^38 + 2483340503*y^39 - 1884768235*y^40 + 644032371*y^41 + 515775898*y^42 - 1153502312*y^43 + 1233800036*y^44 - 973606440*y^45 + 622471776*y^46 - 334007784*y^47 + 152727717*y^48 - 59849178*y^49 + 20092079*y^50 - 5748834*y^51 + 1388017*y^52 - 278366*y^53 + 45274*y^54 - 5755*y^55 + 538*y^56 - 33*y^57 + y^58)", "(-1 + y)^2*(1 + 42*y + 4607*y^2 - 35086*y^3 + 56351*y^4 + 160890*y^5 - 676426*y^6 + 2383455*y^7 - 10783189*y^8 + 6894527*y^9 + 146268940*y^10 - 617650544*y^11 + 1087428968*y^12 - 848082048*y^13 + 1025351200*y^14 - 6243930368*y^15 + 18574450958*y^16 - 23579149868*y^17 - 14188478926*y^18 + 129487025516*y^19 - 317855698746*y^20 + 502102072404*y^21 - 534869960252*y^22 + 262107836678*y^23 + 402481612216*y^24 - 1422984226566*y^25 + 2641269908202*y^26 - 3847394375624*y^27 + 4853017009248*y^28 - 5484852926136*y^29 + 5697720260720*y^30 - 5452448422764*y^31 + 4870772478381*y^32 - 4055391096130*y^33 + 3166886696539*y^34 - 2314214202902*y^35 + 1588779901159*y^36 - 1022307203446*y^37 + 618094188142*y^38 - 350375767401*y^39 + 186336668961*y^40 - 92801073109*y^41 + 43239932906*y^42 - 18817042072*y^43 + 7636106900*y^44 - 2882325336*y^45 + 1011006528*y^46 - 327831736*y^47 + 98398081*y^48 - 27038934*y^49 + 6844615*y^50 - 1560082*y^51 + 325613*y^52 - 59290*y^53 + 9822*y^54 - 1323*y^55 + 162*y^56 - 13*y^57 + y^58)" ] }, "GeometricRepresentation":[ 1.47239e1, [ "J11a_11_0", 1, "{55, 56}" ] ] } }