Magma V2.19-8 Tue Aug 20 2013 16:19:08 on localhost [Seed = 3170705857] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3272 geometric_solution 6.39648416 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 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 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 0.193413942418 0.630639170666 0 5 5 4 0132 0132 3201 1230 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323694113638 0.801653148332 4 0 6 3 3012 0132 0132 1230 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 -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 0 0 0 0.990822945400 0.823929067454 2 3 3 0 3012 3201 2310 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 0.776147388285 1.256032619421 1 6 0 2 3012 3201 0132 1230 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 0 0 1 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.536937362240 0.945767042751 1 1 6 6 2310 0132 2103 0321 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 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 0.124268831508 0.940384635164 5 5 4 2 2103 0321 2310 0132 0 0 0 0 0 0 0 0 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 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 0.362160486855 0.595419914825 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(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_0011_4, c_0011_6, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 122468/2973*c_0101_5^16 - 77918/991*c_0101_5^14 + 80326/2973*c_0101_5^12 + 19865/2973*c_0101_5^10 + 94492/2973*c_0101_5^8 - 549381/15856*c_0101_5^6 + 56261/15856*c_0101_5^4 + 232001/47568*c_0101_5^2 - 3907/2973, c_0011_0 - 1, c_0011_3 + 51456/991*c_0101_5^16 - 199264/991*c_0101_5^14 + 258480/991*c_0101_5^12 - 148880/991*c_0101_5^10 + 79048/991*c_0101_5^8 - 121500/991*c_0101_5^6 + 225225/1982*c_0101_5^4 - 72549/1982*c_0101_5^2 - 2895/1982, c_0011_4 + 162624/991*c_0101_5^17 - 482208/991*c_0101_5^15 + 540320/991*c_0101_5^13 - 303152/991*c_0101_5^11 + 206016/991*c_0101_5^9 - 282587/991*c_0101_5^7 + 224885/991*c_0101_5^5 - 70069/991*c_0101_5^3 + 3026/991*c_0101_5, c_0011_6 + 56448/991*c_0101_5^17 - 161088/991*c_0101_5^15 + 158720/991*c_0101_5^13 - 66176/991*c_0101_5^11 + 47136/991*c_0101_5^9 - 85246/991*c_0101_5^7 + 60598/991*c_0101_5^5 - 6377/991*c_0101_5^3 - 5600/991*c_0101_5, c_0101_2 + 86976/991*c_0101_5^16 - 272800/991*c_0101_5^14 + 306688/991*c_0101_5^12 - 159888/991*c_0101_5^10 + 101104/991*c_0101_5^8 - 156265/991*c_0101_5^6 + 125588/991*c_0101_5^4 - 31557/991*c_0101_5^2 - 3532/991, c_0101_3 - 149152/991*c_0101_5^17 + 432976/991*c_0101_5^15 - 486224/991*c_0101_5^13 + 271736/991*c_0101_5^11 - 182416/991*c_0101_5^9 + 503091/1982*c_0101_5^7 - 406261/1982*c_0101_5^5 + 123401/1982*c_0101_5^3 - 603/991*c_0101_5, c_0101_5^18 - 7/2*c_0101_5^16 + 5*c_0101_5^14 - 15/4*c_0101_5^12 + 9/4*c_0101_5^10 - 151/64*c_0101_5^8 + 75/32*c_0101_5^6 - 77/64*c_0101_5^4 + 7/32*c_0101_5^2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB