Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 795783955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s032 geometric_solution 3.56959334 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 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 -1 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 2.413134460320 0.119001527514 0 2 2 0 0132 0132 3201 3201 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 1 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 -0.910840673909 0.311708574549 1 1 3 3 2310 0132 0132 3201 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 -1 0 0 1 -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 0.365999619332 0.255902875023 4 2 5 2 0132 2310 0132 0132 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 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986822303899 0.520289391146 3 5 5 5 0132 1230 3012 2310 0 0 0 0 0 0 -1 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 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 0.992481683965 0.967662759047 4 4 4 3 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 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 0.992481683965 0.967662759047 ==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' : 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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 12818057/1476247*c_0101_3^9 - 15647623/1476247*c_0101_3^8 - 163327155/1476247*c_0101_3^7 + 99926091/1476247*c_0101_3^6 + 826037831/1476247*c_0101_3^5 - 973010169/1476247*c_0101_3^4 + 641273241/1476247*c_0101_3^3 - 40455786/1476247*c_0101_3^2 - 201265265/1476247*c_0101_3 + 33470309/1476247, c_0011_0 - 1, c_0011_3 + 87954/1476247*c_0101_3^9 - 105341/1476247*c_0101_3^8 - 1028334/1476247*c_0101_3^7 + 716670/1476247*c_0101_3^6 + 4741530/1476247*c_0101_3^5 - 7239619/1476247*c_0101_3^4 + 7664934/1476247*c_0101_3^3 - 3813497/1476247*c_0101_3^2 + 707584/1476247*c_0101_3 + 932875/1476247, c_0101_0 + 100700/1476247*c_0101_3^9 + 45323/1476247*c_0101_3^8 - 1407671/1476247*c_0101_3^7 - 1443340/1476247*c_0101_3^6 + 6712052/1476247*c_0101_3^5 + 3465156/1476247*c_0101_3^4 - 2392467/1476247*c_0101_3^3 + 4007622/1476247*c_0101_3^2 + 1698216/1476247*c_0101_3 - 1466937/1476247, c_0101_1 + 478571/1476247*c_0101_3^9 - 352513/1476247*c_0101_3^8 - 6204591/1476247*c_0101_3^7 + 843188/1476247*c_0101_3^6 + 30630039/1476247*c_0101_3^5 - 22824960/1476247*c_0101_3^4 + 14872991/1476247*c_0101_3^3 + 6877644/1476247*c_0101_3^2 - 6545021/1476247*c_0101_3 - 699449/1476247, c_0101_2 - 253455/1476247*c_0101_3^9 + 162923/1476247*c_0101_3^8 + 3400591/1476247*c_0101_3^7 - 118668/1476247*c_0101_3^6 - 17402765/1476247*c_0101_3^5 + 9897037/1476247*c_0101_3^4 - 1634505/1476247*c_0101_3^3 - 5871763/1476247*c_0101_3^2 + 4100000/1476247*c_0101_3 + 603276/1476247, c_0101_3^10 - c_0101_3^9 - 13*c_0101_3^8 + 5*c_0101_3^7 + 66*c_0101_3^6 - 62*c_0101_3^5 + 34*c_0101_3^4 + 9*c_0101_3^3 - 17*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB