Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 3869735831] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2940 geometric_solution 6.13670300 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 0 0 0 0 0 0 -1 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 -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 1.271980177637 1.305287168517 0 0 5 4 0132 2103 0132 0132 0 0 0 0 0 0 0 0 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 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 0.571507676609 0.651750598017 4 5 4 0 0132 1230 2031 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396572641470 0.544863010170 4 3 0 3 1302 2310 0132 3201 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137066496073 0.802562026944 2 3 1 2 0132 2031 0132 1302 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137066496073 0.802562026944 6 6 2 1 0132 2310 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245367169179 0.922797317632 5 6 6 5 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.204688675320 0.718122493557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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' : 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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} 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_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 18/7*c_0110_3^7 + 9*c_0110_3^5 + 87/7*c_0110_3^3 - 5/7*c_0110_3, c_0011_0 - 1, c_0011_2 - 6/7*c_0110_3^7 + 4*c_0110_3^5 + 1/7*c_0110_3^3 - 25/7*c_0110_3, c_0011_3 - 3/7*c_0110_3^7 + 2*c_0110_3^5 + 4/7*c_0110_3^3 - 16/7*c_0110_3, c_0011_5 - 3/7*c_0110_3^6 + 2*c_0110_3^4 + 4/7*c_0110_3^2 - 16/7, c_0101_0 + 3/7*c_0110_3^6 - 2*c_0110_3^4 + 3/7*c_0110_3^2 + 9/7, c_0101_2 - 1/7*c_0110_3^6 + c_0110_3^4 - 8/7*c_0110_3^2 - 3/7, c_0110_3^8 - 5*c_0110_3^6 + c_0110_3^4 + 5*c_0110_3^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 114300/1817*c_0110_3^9 + 214320/1817*c_0110_3^7 - 498675/1817*c_0110_3^5 - 17483/1817*c_0110_3^3 - 183541/1817*c_0110_3, c_0011_0 - 1, c_0011_2 - 3130/1817*c_0110_3^9 + 4815/1817*c_0110_3^7 - 11493/1817*c_0110_3^5 - 4765/1817*c_0110_3^3 - 3896/1817*c_0110_3, c_0011_3 - 845/1817*c_0110_3^9 + 850/1817*c_0110_3^7 - 2827/1817*c_0110_3^5 - 2311/1817*c_0110_3^3 - 3101/1817*c_0110_3, c_0011_5 + 5/1817*c_0110_3^8 + 210/1817*c_0110_3^6 + 178/1817*c_0110_3^4 - 1255/1817*c_0110_3^2 + 1115/1817, c_0101_0 + 2285/1817*c_0110_3^8 - 3965/1817*c_0110_3^6 + 8666/1817*c_0110_3^4 + 2454/1817*c_0110_3^2 + 795/1817, c_0101_2 - 840/1817*c_0110_3^8 + 1060/1817*c_0110_3^6 - 2649/1817*c_0110_3^4 - 3566/1817*c_0110_3^2 - 169/1817, c_0110_3^10 - 2*c_0110_3^8 + 23/5*c_0110_3^6 - 2/5*c_0110_3^4 + 8/5*c_0110_3^2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB