Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 172725775] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s456 geometric_solution 4.78075484 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341617693273 0.574175911524 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.234694174477 1.286292187486 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.234694174477 1.286292187486 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831642421951 0.665188112452 2 5 5 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139996499332 0.315591437695 5 4 4 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.113304381902 1.189093657032 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 221160386384139/173991169968952*c_0101_5^13 - 277079179325489/86995584984476*c_0101_5^12 - 2715833184429095/173991169968952*c_0101_5^11 - 189060260115961/24855881424136*c_0101_5^10 - 962909763789727/43497792492238*c_0101_5^9 - 12191310616404481/173991169968952*c_0101_5^8 - 1835393720919987/173991169968952*c_0101_5^7 + 6294011870252867/173991169968952*c_0101_5^6 - 93947649427813/1279346838007*c_0101_5^5 + 3615072015828445/86995584984476*c_0101_5^4 + 28937072217017/6213970356034*c_0101_5^3 + 1775302315833717/43497792492238*c_0101_5^2 - 2497663210421877/173991169968952*c_0101_5 + 3401783867917021/173991169968952, c_0011_0 - 1, c_0011_1 - 11235141897/417745906288*c_0101_5^13 + 1276911148/26109119143*c_0101_5^12 + 159166999259/417745906288*c_0101_5^11 + 165400406553/417745906288*c_0101_5^10 + 99663319393/208872953144*c_0101_5^9 + 646659201077/417745906288*c_0101_5^8 + 433556409093/417745906288*c_0101_5^7 - 542955620895/417745906288*c_0101_5^6 - 31760853653/104436476572*c_0101_5^5 - 17336205645/208872953144*c_0101_5^4 - 24152291873/26109119143*c_0101_5^3 - 68026349142/26109119143*c_0101_5^2 + 79768642707/417745906288*c_0101_5 - 73386207997/417745906288, c_0011_4 - 17401570061/417745906288*c_0101_5^13 + 14402733763/104436476572*c_0101_5^12 + 181370821287/417745906288*c_0101_5^11 - 81580024475/417745906288*c_0101_5^10 + 96231864319/208872953144*c_0101_5^9 + 801261371305/417745906288*c_0101_5^8 - 514314512079/417745906288*c_0101_5^7 - 529341471895/417745906288*c_0101_5^6 + 244556453513/52218238286*c_0101_5^5 - 312717567975/208872953144*c_0101_5^4 + 115702309329/104436476572*c_0101_5^3 - 65753811591/104436476572*c_0101_5^2 + 835097743411/417745906288*c_0101_5 - 435961533969/417745906288, c_0101_1 - 41702652825/417745906288*c_0101_5^13 + 7427361714/26109119143*c_0101_5^12 + 479118136619/417745906288*c_0101_5^11 + 51273332001/417745906288*c_0101_5^10 + 320132528997/208872953144*c_0101_5^9 + 2218596844125/417745906288*c_0101_5^8 - 409141317291/417745906288*c_0101_5^7 - 1255203915839/417745906288*c_0101_5^6 + 891106047883/104436476572*c_0101_5^5 - 1027584255329/208872953144*c_0101_5^4 - 24465823269/26109119143*c_0101_5^3 - 45267711029/52218238286*c_0101_5^2 + 858069943843/417745906288*c_0101_5 - 616784915733/417745906288, c_0101_2 + 25393991655/208872953144*c_0101_5^13 - 17514536969/52218238286*c_0101_5^12 - 301952678579/208872953144*c_0101_5^11 - 61330765267/208872953144*c_0101_5^10 - 159676999729/104436476572*c_0101_5^9 - 1194952513153/208872953144*c_0101_5^8 + 289968851829/208872953144*c_0101_5^7 + 1165727430129/208872953144*c_0101_5^6 - 688639700957/104436476572*c_0101_5^5 + 135217100781/26109119143*c_0101_5^4 + 16878439181/104436476572*c_0101_5^3 + 402019762991/104436476572*c_0101_5^2 - 468996786515/208872953144*c_0101_5 + 213986752925/208872953144, c_0101_5^14 - 3*c_0101_5^13 - 11*c_0101_5^12 - 15*c_0101_5^10 - 47*c_0101_5^9 + 18*c_0101_5^8 + 30*c_0101_5^7 - 73*c_0101_5^6 + 62*c_0101_5^5 - 14*c_0101_5^4 + 32*c_0101_5^3 - 27*c_0101_5^2 + 22*c_0101_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB