Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 2084430156] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2677 geometric_solution 5.93954012 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 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 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 0.527296989649 1.083167360840 0 0 2 3 0132 3201 1230 1230 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 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 0.132003133669 1.130740166443 4 0 5 1 0132 0132 0132 3012 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 0 0 0.856645569843 0.673100924252 1 5 0 4 3012 1023 0132 1023 0 0 0 0 0 0 -1 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 -1 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 0.856645569843 0.673100924252 2 6 6 3 0132 0132 3201 1023 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 -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 0.532934421075 0.187152263433 3 5 5 2 1023 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 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 0.928416050578 0.576644376292 4 4 6 6 2310 0132 1230 3012 0 0 0 0 0 1 -1 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 1 -1 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 1.331968300825 0.883520109530 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_0011_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_5']})} 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_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 153379/1083760*c_0101_6^12 + 187421/135470*c_0101_6^10 + 1627739/270940*c_0101_6^8 + 659643/47120*c_0101_6^6 + 4809823/216752*c_0101_6^4 + 4554143/216752*c_0101_6^2 + 4579113/541880, c_0011_0 - 1, c_0011_3 - 1319/5704*c_0101_6^13 - 1432/713*c_0101_6^11 - 5356/713*c_0101_6^9 - 3411/248*c_0101_6^7 - 101851/5704*c_0101_6^5 - 49103/5704*c_0101_6^3 + 12877/2852*c_0101_6, c_0101_1 - 1201/5704*c_0101_6^12 - 1332/713*c_0101_6^10 - 10191/1426*c_0101_6^8 - 3353/248*c_0101_6^6 - 102225/5704*c_0101_6^4 - 56849/5704*c_0101_6^2 + 8833/2852, c_0101_2 + 547/1426*c_0101_6^13 + 4639/1426*c_0101_6^11 + 16851/1426*c_0101_6^9 + 637/31*c_0101_6^7 + 37155/1426*c_0101_6^5 + 7237/713*c_0101_6^3 - 5864/713*c_0101_6, c_0101_4 + 831/1426*c_0101_6^12 + 7217/1426*c_0101_6^10 + 27039/1426*c_0101_6^8 + 1083/31*c_0101_6^6 + 65935/1426*c_0101_6^4 + 17517/713*c_0101_6^2 - 6183/713, c_0101_5 - 2909/5704*c_0101_6^13 - 3142/713*c_0101_6^11 - 11700/713*c_0101_6^9 - 7385/248*c_0101_6^7 - 220801/5704*c_0101_6^5 - 105021/5704*c_0101_6^3 + 27271/2852*c_0101_6, c_0101_6^14 + 10*c_0101_6^12 + 44*c_0101_6^10 + 103*c_0101_6^8 + 159*c_0101_6^6 + 147*c_0101_6^4 + 40*c_0101_6^2 - 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB