Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 2614757044] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2552 geometric_solution 5.86053930 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.452106028142 1.819461591239 3 0 5 4 0132 0132 0132 0132 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 0 -1 -1 0 1 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 0.266815720975 0.259677073609 5 4 3 0 1023 0321 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128627756616 0.517651276830 1 2 6 5 0132 3201 0132 1302 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 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 1.217274952719 0.755401063300 6 6 1 2 0132 0213 0132 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 -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 0.411507467341 1.520348491166 6 2 3 1 1023 1023 2031 0132 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 1 0 0 -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 0.335137062338 0.620699066428 4 5 4 3 0132 1023 0213 0132 0 0 0 0 0 -1 0 1 -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 1 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 0.834122939914 0.612846565460 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1001_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_1001_2']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_0']})} 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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 543632/323*c_1001_2^7 + 521712/323*c_1001_2^6 + 260884/323*c_1001_2^5 - 212378/323*c_1001_2^4 - 296855/323*c_1001_2^3 + 156770/323*c_1001_2^2 - 17640/323*c_1001_2 - 126891/323, c_0011_0 - 1, c_0011_2 + 48/17*c_1001_2^7 - 8/17*c_1001_2^6 + 16/17*c_1001_2^5 - 10/17*c_1001_2^4 + 26/17*c_1001_2^3 + 19/17*c_1001_2^2 - 20/17*c_1001_2 - 7/17, c_0101_0 + 208/17*c_1001_2^7 + 192/17*c_1001_2^6 + 92/17*c_1001_2^5 - 66/17*c_1001_2^4 - 97/17*c_1001_2^3 + 88/17*c_1001_2^2 - 13/17*c_1001_2 - 53/17, c_0101_1 - c_1001_2, c_0101_3 + 376/17*c_1001_2^7 + 300/17*c_1001_2^6 + 148/17*c_1001_2^5 - 203/17*c_1001_2^4 - 193/17*c_1001_2^3 + 129/17*c_1001_2^2 - 32/17*c_1001_2 - 69/17, c_0101_5 - 264/17*c_1001_2^7 - 228/17*c_1001_2^6 - 156/17*c_1001_2^5 + 89/17*c_1001_2^4 + 129/17*c_1001_2^3 - 62/17*c_1001_2^2 + 25/17*c_1001_2 + 47/17, c_1001_2^8 + 3/2*c_1001_2^7 + c_1001_2^6 - 1/8*c_1001_2^5 - 3/4*c_1001_2^4 + 1/8*c_1001_2^2 - 1/4*c_1001_2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB