Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 1579139772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0577 geometric_solution 4.59753524 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 0.504589120770 0.425387045055 2 0 3 0 0132 2310 0132 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336938757261 0.551247235111 1 3 3 4 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156124296719 0.666127141897 4 2 2 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 0 -1 0 0 1 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156124296719 0.666127141897 5 5 2 3 0132 3201 0132 2310 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 -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 0.414363059917 0.764299732762 4 6 4 6 0132 0132 2310 2310 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.433511777077 0.971792105602 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380848657289 0.044953069733 ==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' : 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' : 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' : d['1'], 's_1_0' : 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' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], '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_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2130754706/27191673*c_0110_6^13 - 12644018390/27191673*c_0110_6^11 + 11949667070/27191673*c_0110_6^9 - 20333806114/9063891*c_0110_6^7 + 62056702598/3021297*c_0110_6^5 - 444694600430/27191673*c_0110_6^3 + 42945993091/27191673*c_0110_6, c_0011_0 - 1, c_0011_1 - 55006/9063891*c_0110_6^12 + 365008/9063891*c_0110_6^10 - 407539/9063891*c_0110_6^8 + 436616/3021297*c_0110_6^6 - 1725265/1007099*c_0110_6^4 + 18799225/9063891*c_0110_6^2 + 2365189/9063891, c_0011_4 + 191563/3021297*c_0110_6^12 - 1123528/3021297*c_0110_6^10 + 1005526/3021297*c_0110_6^8 - 1818291/1007099*c_0110_6^6 + 16749394/1007099*c_0110_6^4 - 37293751/3021297*c_0110_6^2 + 2813126/3021297, c_0101_0 - 3279983/9063891*c_0110_6^13 + 19400669/9063891*c_0110_6^11 - 18069221/9063891*c_0110_6^9 + 31246549/3021297*c_0110_6^7 - 95349421/1007099*c_0110_6^5 + 671433935/9063891*c_0110_6^3 - 62203396/9063891*c_0110_6, c_0101_1 + 83042/9063891*c_0110_6^12 - 576425/9063891*c_0110_6^10 + 878576/9063891*c_0110_6^8 - 772084/3021297*c_0110_6^6 + 2672834/1007099*c_0110_6^4 - 34130834/9063891*c_0110_6^2 + 6240961/9063891, c_0101_3 - 1913318/9063891*c_0110_6^13 + 11279918/9063891*c_0110_6^11 - 10307381/9063891*c_0110_6^9 + 18182977/3021297*c_0110_6^7 - 55575623/1007099*c_0110_6^5 + 379459844/9063891*c_0110_6^3 - 31018312/9063891*c_0110_6, c_0110_6^14 - 6*c_0110_6^12 + 6*c_0110_6^10 - 29*c_0110_6^8 + 264*c_0110_6^6 - 226*c_0110_6^4 + 34*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB