Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 3583265037] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1748 geometric_solution 5.44275048 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.475544890408 0.580132006642 0 5 2 5 0132 0132 0321 2310 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 0 -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 0.808941956586 0.430513915917 4 0 1 3 3012 0132 0321 1230 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.857504416643 0.948538299720 2 3 3 0 3012 1230 3012 0132 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 -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 1.154881470453 1.030986386955 6 6 0 2 0132 3201 0132 1230 0 0 0 0 0 -1 0 1 0 0 0 0 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 -1 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.784969869021 0.772149661398 1 1 5 5 3201 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0.600887413811 0.142704537667 4 6 4 6 0132 1302 2310 2031 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 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 0.068048793382 1.160717928780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 137827417/20215621*c_0110_5^21 + 2944991482/20215621*c_0110_5^19 - 23355918098/20215621*c_0110_5^17 + 90447942612/20215621*c_0110_5^15 - 177481458281/20215621*c_0110_5^13 + 188381146611/20215621*c_0110_5^11 - 117333930545/20215621*c_0110_5^9 + 47051305471/20215621*c_0110_5^7 - 12962771926/20215621*c_0110_5^5 + 1791861910/20215621*c_0110_5^3 + 267329375/20215621*c_0110_5, c_0011_0 - 1, c_0011_3 + 44645142/20215621*c_0110_5^20 - 947194716/20215621*c_0110_5^18 + 7422937745/20215621*c_0110_5^16 - 28192218091/20215621*c_0110_5^14 + 53385805903/20215621*c_0110_5^12 - 53707937439/20215621*c_0110_5^10 + 31773767658/20215621*c_0110_5^8 - 12713075866/20215621*c_0110_5^6 + 3624017502/20215621*c_0110_5^4 - 517906877/20215621*c_0110_5^2 - 11600444/20215621, c_0011_4 - 112661242/20215621*c_0110_5^20 + 2422831696/20215621*c_0110_5^18 - 19419517805/20215621*c_0110_5^16 + 76484184706/20215621*c_0110_5^14 - 154715499134/20215621*c_0110_5^12 + 172453984720/20215621*c_0110_5^10 - 116111650013/20215621*c_0110_5^8 + 52875220210/20215621*c_0110_5^6 - 17453906135/20215621*c_0110_5^4 + 3579098338/20215621*c_0110_5^2 - 248470707/20215621, c_0101_0 - 28203080/20215621*c_0110_5^20 + 603390089/20215621*c_0110_5^18 - 4799183531/20215621*c_0110_5^16 + 18712051769/20215621*c_0110_5^14 - 37383881422/20215621*c_0110_5^12 + 41571074281/20215621*c_0110_5^10 - 28557517680/20215621*c_0110_5^8 + 13264819252/20215621*c_0110_5^6 - 4351445389/20215621*c_0110_5^4 + 929267890/20215621*c_0110_5^2 - 87005930/20215621, c_0101_1 + 66790309/20215621*c_0110_5^21 - 1441183718/20215621*c_0110_5^19 + 11619236458/20215621*c_0110_5^17 - 46228612545/20215621*c_0110_5^15 + 95365796003/20215621*c_0110_5^13 - 109955540232/20215621*c_0110_5^11 + 77315675739/20215621*c_0110_5^9 - 36229082050/20215621*c_0110_5^7 + 12115498168/20215621*c_0110_5^5 - 2661537056/20215621*c_0110_5^3 + 226382984/20215621*c_0110_5, c_0101_3 - 65619410/20215621*c_0110_5^21 + 1420095488/20215621*c_0110_5^19 - 11499963593/20215621*c_0110_5^17 + 46029705535/20215621*c_0110_5^15 - 95757064668/20215621*c_0110_5^13 + 111266546792/20215621*c_0110_5^11 - 78948137376/20215621*c_0110_5^9 + 37864989960/20215621*c_0110_5^7 - 12949320742/20215621*c_0110_5^5 + 2864008139/20215621*c_0110_5^3 - 274490336/20215621*c_0110_5, c_0110_5^22 - 22*c_0110_5^20 + 183*c_0110_5^18 - 764*c_0110_5^16 + 1708*c_0110_5^14 - 2206*c_0110_5^12 + 1780*c_0110_5^10 - 970*c_0110_5^8 + 380*c_0110_5^6 - 105*c_0110_5^4 + 17*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB