Magma V2.19-8 Tue Aug 20 2013 17:55:54 on localhost [Seed = 1326381226] Type ? for help. Type -D to quit. Loading file "10^2_160__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_160 geometric_solution 9.84296570 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 0 0 0 1 0 0 1 -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 1 5 -6 -1 0 0 1 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.366835801175 1.231855964745 0 4 5 0 0132 0132 0132 2031 0 0 1 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 -6 0 6 1 0 0 -1 -1 1 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.222050512706 0.745658541711 6 6 5 0 0132 1230 2103 0132 0 0 1 0 0 0 1 -1 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 5 -5 0 0 0 0 3 -4 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780541676698 0.588743569608 7 5 0 7 0132 1230 0132 2103 0 0 0 0 0 0 1 -1 0 0 0 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 0 6 -6 1 0 -1 0 -5 0 0 5 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363313734828 0.763637366832 8 1 8 9 0132 0132 3012 0132 0 0 0 1 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 6 0 -6 0 0 0 0 0 -5 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596292619880 0.363839858295 2 10 3 1 2103 0132 3012 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 0 0 0 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205985701027 1.389975162554 2 8 2 9 0132 1302 3012 0213 0 0 0 1 0 0 -1 1 0 0 0 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 0 -6 6 0 0 0 0 6 -1 0 -5 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183417900588 0.615927982373 3 9 8 3 0132 1023 1023 2103 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 -5 -1 0 1 0 -6 0 0 6 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363313734828 0.763637366832 4 4 7 6 0132 1230 1023 2031 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 0 0 0 -1 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 1.366835801175 1.231855964745 7 10 4 6 1023 2031 0132 0213 0 0 0 0 0 0 1 -1 -1 0 0 1 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 6 -6 -5 0 0 5 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895674974281 0.703976993837 9 5 10 10 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787827882214 0.939735389761 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0110_10']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : d['c_0110_10'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0110_10']), 'c_1010_4' : negation(d['c_0110_10']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_2']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_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_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_8, c_0110_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/40*c_1001_3 + 1/10, c_0011_0 - 1, c_0011_10 - 2*c_1001_3 + 1, c_0011_2 + c_1001_3 - 1, c_0011_3 - c_1001_3 + 2, c_0101_0 - c_1001_3 + 1, c_0101_1 - 1, c_0101_2 + 2*c_1001_3 - 2, c_0101_7 + 1, c_0101_8 + c_1001_3, c_0110_10 - 1, c_1001_3^2 - 2*c_1001_3 + 2 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_8, c_0110_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1/2*c_1001_3^3 + c_1001_3^2 + 1/2*c_1001_3, c_0011_0 - 1, c_0011_10 + 2*c_1001_3^7 - 9*c_1001_3^6 + 16*c_1001_3^5 - 7*c_1001_3^4 - 12*c_1001_3^3 + 14*c_1001_3^2 - 2, c_0011_2 - 1/2*c_1001_3^7 + 5/2*c_1001_3^6 - 11/2*c_1001_3^5 + 9/2*c_1001_3^4 + 3/2*c_1001_3^3 - 11/2*c_1001_3^2 + 3/2*c_1001_3 + 1/2, c_0011_3 - c_1001_3^5 + 4*c_1001_3^4 - 6*c_1001_3^3 + 2*c_1001_3^2 + 3*c_1001_3 - 2, c_0101_0 - 1/2*c_1001_3^7 + 3/2*c_1001_3^6 - 3/2*c_1001_3^5 - 3/2*c_1001_3^4 + 5/2*c_1001_3^3 - 1/2*c_1001_3^2 - 3/2*c_1001_3 - 1/2, c_0101_1 - 1, c_0101_2 - c_1001_3^7 + 4*c_1001_3^6 - 6*c_1001_3^5 + 8*c_1001_3^3 - 6*c_1001_3^2 - 2*c_1001_3 + 2, c_0101_7 - c_1001_3^6 + 4*c_1001_3^5 - 7*c_1001_3^4 + 4*c_1001_3^3 + 2*c_1001_3^2 - 4*c_1001_3 + 1, c_0101_8 + 2*c_1001_3^7 - 10*c_1001_3^6 + 21*c_1001_3^5 - 18*c_1001_3^4 - 2*c_1001_3^3 + 14*c_1001_3^2 - 8*c_1001_3 + 2, c_0110_10 + c_1001_3^2 - 2*c_1001_3 + 1, c_1001_3^8 - 4*c_1001_3^7 + 6*c_1001_3^6 - 8*c_1001_3^4 + 6*c_1001_3^3 + 2*c_1001_3^2 - 2*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB