Magma V2.19-8 Wed Aug 21 2013 00:59:06 on localhost [Seed = 1831564812] Type ? for help. Type -D to quit. Loading file "L13n6576__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6576 geometric_solution 12.21651199 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 0 1 1 0 -1 0 5 -5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615028493107 0.540129539406 0 5 2 6 0132 0132 3120 0132 1 0 0 1 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 -1 0 0 1 -1 1 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082046979552 0.806163531751 6 0 1 4 0132 0132 3120 3120 1 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082046979552 0.806163531751 4 7 8 0 3120 0132 0132 0132 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 -1 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437524320188 0.613863117947 2 9 0 3 3120 0132 0132 3120 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 -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 1.082046979552 0.806163531751 10 1 8 11 0132 0132 3201 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 4 -4 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279598138678 0.620266082268 2 10 1 12 0132 0132 0132 0132 1 0 1 0 0 0 1 -1 0 0 0 0 0 -1 0 1 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 -1 1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811411061234 0.885541085354 12 3 9 11 0321 0132 2103 3120 1 1 1 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 -4 0 0 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333553984271 0.521140754524 5 12 10 3 2310 2103 1230 0132 1 0 1 1 0 0 0 0 -1 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 0 0 0 0 0 -1 0 0 1 -4 5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843136983917 0.788804628790 7 4 12 11 2103 0132 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279598138678 0.620266082268 5 6 11 8 0132 0132 1230 3012 1 1 0 1 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128751427658 1.361228346174 7 9 5 10 3120 2310 0132 3012 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433786454145 0.653310898835 7 8 6 9 0321 2103 0132 1302 1 0 1 1 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 -5 5 0 1 0 -1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367533125216 0.591710253378 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], '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_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 320140487/57967712*c_1001_1^5 - 4083916635/57967712*c_1001_1^4 + 2614374927/14491928*c_1001_1^3 - 13406952403/57967712*c_1001_1^2 + 5289571021/28983856*c_1001_1 - 417973639/5269792, c_0011_0 - 1, c_0011_11 + 1589/5444*c_1001_1^5 - 17261/5444*c_1001_1^4 + 4101/1361*c_1001_1^3 - 3377/5444*c_1001_1^2 - 2789/2722*c_1001_1 + 17193/5444, c_0011_12 - 269/1361*c_1001_1^5 + 2857/1361*c_1001_1^4 - 2019/1361*c_1001_1^3 - 630/1361*c_1001_1^2 + 1149/1361*c_1001_1 - 1177/1361, c_0011_3 - 111/5444*c_1001_1^5 + 1867/5444*c_1001_1^4 - 1907/1361*c_1001_1^3 - 93/5444*c_1001_1^2 + 1125/2722*c_1001_1 - 7063/5444, c_0011_4 + 513/5444*c_1001_1^5 - 5833/5444*c_1001_1^4 + 2082/1361*c_1001_1^3 - 5897/5444*c_1001_1^2 - 491/2722*c_1001_1 + 7041/5444, c_0011_8 + 57/5444*c_1001_1^5 - 1253/5444*c_1001_1^4 + 2046/1361*c_1001_1^3 - 12753/5444*c_1001_1^2 - 357/2722*c_1001_1 + 8041/5444, c_0101_0 - 1, c_0101_1 - 539/5444*c_1001_1^5 + 5927/5444*c_1001_1^4 - 1511/1361*c_1001_1^3 - 893/5444*c_1001_1^2 - 349/2722*c_1001_1 - 1731/5444, c_0101_10 - 155/1361*c_1001_1^5 + 1712/1361*c_1001_1^4 - 1983/1361*c_1001_1^3 + 1084/1361*c_1001_1^2 + 1082/1361*c_1001_1 - 66/1361, c_0101_12 - 311/2722*c_1001_1^5 + 3637/2722*c_1001_1^4 - 2986/1361*c_1001_1^3 + 2535/2722*c_1001_1^2 + 945/1361*c_1001_1 - 2231/2722, c_0101_3 - 537/5444*c_1001_1^5 + 5501/5444*c_1001_1^4 - 508/1361*c_1001_1^3 - 1627/5444*c_1001_1^2 + 2647/2722*c_1001_1 - 2977/5444, c_0101_8 + 85/5444*c_1001_1^5 - 1773/5444*c_1001_1^4 + 2478/1361*c_1001_1^3 - 6697/5444*c_1001_1^2 - 1965/2722*c_1001_1 + 6929/5444, c_1001_1^6 - 12*c_1001_1^5 + 23*c_1001_1^4 - 17*c_1001_1^3 + c_1001_1^2 + 11*c_1001_1 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.450 seconds, Total memory usage: 32.09MB