Magma V2.19-8 Tue Aug 20 2013 23:42:19 on localhost [Seed = 643842934] Type ? for help. Type -D to quit. Loading file "L14a28911__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a28911 geometric_solution 8.60561912 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 0 0 1 2 1230 3012 0132 0132 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 1 3 -4 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414643380874 1.244132876514 3 4 5 0 0132 0132 0132 0132 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342585364280 0.839409683267 6 7 0 5 0132 0132 0132 3201 0 0 0 0 0 -1 1 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 -3 4 -1 0 0 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342585364280 0.839409683267 1 7 7 7 0132 1023 1230 1302 1 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 -5 1 4 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508526505499 0.700008214533 6 1 6 6 1023 0132 2031 3012 0 2 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 6 0 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671793229521 1.083428275957 8 2 8 1 0132 2310 1023 0132 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 3 0 -3 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 1.059642476362 1.077536739324 2 4 4 4 0132 1023 1230 1302 2 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 -6 7 -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 0.671793229521 1.083428275957 3 2 3 3 1023 0132 2031 3012 0 1 0 0 0 1 0 -1 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 3 0 -3 5 0 -4 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508526505499 0.700008214533 5 9 5 9 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.625419190431 0.227677697690 9 8 9 8 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603494789803 0.065805137539 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0101_5'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_9' : negation(d['c_0011_5']), 'c_1100_8' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0110_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_5'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_0101_7' : d['c_0101_7'], '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_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0101_1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_4'], 'c_0110_7' : d['c_0101_7'], 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6, c_0101_7, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 225545723553/75250112*c_0110_9^7 - 99998974393/5375008*c_0110_9^6 + 2191060687877/75250112*c_0110_9^5 + 3610072507799/37625056*c_0110_9^4 + 1269772562885/75250112*c_0110_9^3 + 51006072647/5375008*c_0110_9^2 + 3982179742207/75250112*c_0110_9 + 1088995317735/37625056, c_0011_0 - 1, c_0011_1 - 293/1541*c_0110_9^7 - 1717/1541*c_0110_9^6 + 3316/1541*c_0110_9^5 + 7353/1541*c_0110_9^4 - 107/1541*c_0110_9^3 + 6360/1541*c_0110_9^2 + 4212/1541*c_0110_9 + 548/1541, c_0011_5 + 493/6164*c_0110_9^7 + 2321/6164*c_0110_9^6 - 2168/1541*c_0110_9^5 - 1151/1541*c_0110_9^4 + 12487/6164*c_0110_9^3 - 10675/6164*c_0110_9^2 - 499/1541*c_0110_9 + 817/3082, c_0101_0 + 294/1541*c_0110_9^7 + 7065/6164*c_0110_9^6 - 6439/3082*c_0110_9^5 - 17591/3082*c_0110_9^4 + 323/1541*c_0110_9^3 - 8113/6164*c_0110_9^2 - 9573/3082*c_0110_9 - 1105/3082, c_0101_1 + 1/1541*c_0110_9^7 + 197/6164*c_0110_9^6 + 193/3082*c_0110_9^5 - 2885/3082*c_0110_9^4 + 216/1541*c_0110_9^3 + 17327/6164*c_0110_9^2 - 1149/3082*c_0110_9 - 9/3082, c_0101_4 - 1, c_0101_5 - 1083/6164*c_0110_9^7 - 1488/1541*c_0110_9^6 + 7459/3082*c_0110_9^5 + 6270/1541*c_0110_9^4 - 13565/6164*c_0110_9^3 + 1517/1541*c_0110_9^2 + 3277/3082*c_0110_9 - 130/1541, c_0101_6 - 293/1541*c_0110_9^7 - 1717/1541*c_0110_9^6 + 3316/1541*c_0110_9^5 + 7353/1541*c_0110_9^4 - 107/1541*c_0110_9^3 + 6360/1541*c_0110_9^2 + 4212/1541*c_0110_9 - 993/1541, c_0101_7 - 1, c_0110_9^8 + 6*c_0110_9^7 - 11*c_0110_9^6 - 30*c_0110_9^5 + c_0110_9^4 - 2*c_0110_9^3 - 17*c_0110_9^2 - 6*c_0110_9 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB