Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2884253576] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s316 geometric_solution 4.49391626 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 -1 1 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 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 -0.151798732649 1.232187885723 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432270055684 0.102015806808 3 0 3 4 3201 0132 3012 0132 0 0 0 0 0 1 0 -1 -1 0 1 0 -1 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285480013906 1.174420844067 4 2 0 2 3201 1230 0132 2310 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0.285480013906 1.174420844067 5 5 2 3 0132 3201 0132 2310 0 0 0 0 0 -1 1 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 1 -1 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 0.298871644898 0.840994412486 4 5 4 5 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 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 1 0 -1 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 -0.864756138565 0.610423739491 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_1'], '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_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_2']), '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_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : 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_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0011_4, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5016326/41681*c_0101_2^13 + 11287955/41681*c_0101_2^12 - 71588279/41681*c_0101_2^11 - 190715248/41681*c_0101_2^10 + 31825649/41681*c_0101_2^9 + 502614814/41681*c_0101_2^8 + 507442316/41681*c_0101_2^7 - 57455263/41681*c_0101_2^6 - 450755491/41681*c_0101_2^5 - 310833599/41681*c_0101_2^4 - 5155730/41681*c_0101_2^3 + 104188315/41681*c_0101_2^2 + 56249142/41681*c_0101_2 + 10057492/41681, c_0011_0 - 1, c_0011_3 - 13025775/41681*c_0101_2^13 + 15021541/41681*c_0101_2^12 + 125819207/41681*c_0101_2^11 + 74878148/41681*c_0101_2^10 - 244267008/41681*c_0101_2^9 - 406612232/41681*c_0101_2^8 - 120342980/41681*c_0101_2^7 + 239672144/41681*c_0101_2^6 + 273601469/41681*c_0101_2^5 + 79069967/41681*c_0101_2^4 - 52557561/41681*c_0101_2^3 - 53097699/41681*c_0101_2^2 - 17795823/41681*c_0101_2 - 2208670/41681, c_0011_4 + 863415/41681*c_0101_2^13 - 164669/41681*c_0101_2^12 - 9711153/41681*c_0101_2^11 - 12243473/41681*c_0101_2^10 + 14893735/41681*c_0101_2^9 + 42682265/41681*c_0101_2^8 + 26209729/41681*c_0101_2^7 - 16271645/41681*c_0101_2^6 - 32430436/41681*c_0101_2^5 - 15660202/41681*c_0101_2^4 + 3246987/41681*c_0101_2^3 + 6769510/41681*c_0101_2^2 + 2871579/41681*c_0101_2 + 401726/41681, c_0101_0 + 3205783/41681*c_0101_2^13 + 231571/41681*c_0101_2^12 - 36699887/41681*c_0101_2^11 - 54730626/41681*c_0101_2^10 + 48862419/41681*c_0101_2^9 + 178179194/41681*c_0101_2^8 + 128251420/41681*c_0101_2^7 - 55179828/41681*c_0101_2^6 - 142631714/41681*c_0101_2^5 - 78251476/41681*c_0101_2^4 + 8788708/41681*c_0101_2^3 + 30957624/41681*c_0101_2^2 + 14683759/41681*c_0101_2 + 2413450/41681, c_0101_1 + 2434915/41681*c_0101_2^13 - 4630244/41681*c_0101_2^12 - 20392162/41681*c_0101_2^11 + 1917055/41681*c_0101_2^10 + 47060800/41681*c_0101_2^9 + 40434470/41681*c_0101_2^8 - 14543772/41681*c_0101_2^7 - 39695076/41681*c_0101_2^6 - 19015857/41681*c_0101_2^5 + 5910246/41681*c_0101_2^4 + 8843046/41681*c_0101_2^3 + 2569570/41681*c_0101_2^2 - 216082/41681*c_0101_2 - 126463/41681, c_0101_2^14 - 3/7*c_0101_2^13 - 73/7*c_0101_2^12 - 90/7*c_0101_2^11 + 14*c_0101_2^10 + 313/7*c_0101_2^9 + 232/7*c_0101_2^8 - 72/7*c_0101_2^7 - 241/7*c_0101_2^6 - 157/7*c_0101_2^5 - 8/7*c_0101_2^4 + 7*c_0101_2^3 + 32/7*c_0101_2^2 + 9/7*c_0101_2 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB