Magma V2.19-8 Wed Aug 21 2013 00:07:25 on localhost [Seed = 256467455] Type ? for help. Type -D to quit. Loading file "K13n2296__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2296 geometric_solution 11.51486628 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 -0.038538517735 0.746812581317 0 5 6 3 0132 0132 0132 0321 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 -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 0.202543578007 1.206260278289 5 0 4 7 0132 0132 2103 0132 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 -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 -0.092397246252 1.459063409740 8 1 9 0 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788357256160 1.061110564386 2 7 0 6 2103 1023 0132 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 1 -1 0 0 0 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 0.630941048911 0.957359210516 2 1 7 10 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.038538517735 0.746812581317 10 11 4 1 0132 0132 2031 0132 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 1 -1 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 0.304375821677 0.876377803698 4 5 2 9 1023 0213 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 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 0.520059422625 0.728238451188 3 12 12 11 0132 0132 1302 3120 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 -1 1 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 0.821313679882 0.535426475740 11 7 10 3 3120 2310 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187597502898 0.344121424963 6 12 5 9 0132 1230 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.217257026812 0.470352314548 8 6 12 9 3120 0132 1230 3120 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 -1 1 0 0 0 -1 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 0.566560969956 0.344079702453 8 8 10 11 2031 0132 3012 3012 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 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 0.145566487794 0.557017781878 ==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_1001_1'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_0_11' : 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_11'], 'c_0101_10' : d['c_0101_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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_9']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_1001_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_9']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0110_7']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_11']), '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'], 'c_1100_12' : negation(d['c_1001_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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_12']), 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_12, c_0011_4, c_0011_9, c_0101_1, c_0101_11, c_0101_3, c_0101_6, c_0110_7, c_1001_0, c_1001_1, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2073721/18849976*c_1001_9^7 + 6673239/18849976*c_1001_9^6 - 8112185/9424988*c_1001_9^5 - 40734209/9424988*c_1001_9^4 - 38564893/18849976*c_1001_9^3 + 252576213/18849976*c_1001_9^2 + 8165525/309016*c_1001_9 + 303644095/18849976, c_0011_0 - 1, c_0011_10 + 4948/6527*c_1001_9^7 + 20333/6527*c_1001_9^6 - 33388/6527*c_1001_9^5 - 243392/6527*c_1001_9^4 - 167770/6527*c_1001_9^3 + 724001/6527*c_1001_9^2 + 24842/107*c_1001_9 + 936996/6527, c_0011_12 + 2656/6527*c_1001_9^7 + 11632/6527*c_1001_9^6 - 16508/6527*c_1001_9^5 - 138157/6527*c_1001_9^4 - 108988/6527*c_1001_9^3 + 401168/6527*c_1001_9^2 + 14580/107*c_1001_9 + 571304/6527, c_0011_4 - 20/61*c_1001_9^7 - 92/61*c_1001_9^6 + 121/61*c_1001_9^5 + 1095/61*c_1001_9^4 + 885/61*c_1001_9^3 - 3184/61*c_1001_9^2 - 115*c_1001_9 - 4460/61, c_0011_9 + 374/6527*c_1001_9^7 + 537/6527*c_1001_9^6 - 4782/6527*c_1001_9^5 - 7575/6527*c_1001_9^4 + 16482/6527*c_1001_9^3 + 35336/6527*c_1001_9^2 + 12/107*c_1001_9 - 38415/6527, c_0101_1 - 516/6527*c_1001_9^7 - 1788/6527*c_1001_9^6 + 3561/6527*c_1001_9^5 + 20992/6527*c_1001_9^4 + 14293/6527*c_1001_9^3 - 60480/6527*c_1001_9^2 - 2275/107*c_1001_9 - 94084/6527, c_0101_11 + 1918/6527*c_1001_9^7 + 8164/6527*c_1001_9^6 - 12098/6527*c_1001_9^5 - 97660/6527*c_1001_9^4 - 75264/6527*c_1001_9^3 + 287497/6527*c_1001_9^2 + 10250/107*c_1001_9 + 397580/6527, c_0101_3 - 374/6527*c_1001_9^7 - 537/6527*c_1001_9^6 + 4782/6527*c_1001_9^5 + 7575/6527*c_1001_9^4 - 16482/6527*c_1001_9^3 - 35336/6527*c_1001_9^2 - 12/107*c_1001_9 + 38415/6527, c_0101_6 - 748/6527*c_1001_9^7 - 1074/6527*c_1001_9^6 + 9564/6527*c_1001_9^5 + 15150/6527*c_1001_9^4 - 32964/6527*c_1001_9^3 - 70672/6527*c_1001_9^2 - 131/107*c_1001_9 + 50722/6527, c_0110_7 + 2, c_1001_0 + 4796/6527*c_1001_9^7 + 21476/6527*c_1001_9^6 - 29455/6527*c_1001_9^5 - 255322/6527*c_1001_9^4 - 203683/6527*c_1001_9^3 + 741856/6527*c_1001_9^2 + 26885/107*c_1001_9 + 1048524/6527, c_1001_1 + 2656/6527*c_1001_9^7 + 11632/6527*c_1001_9^6 - 16508/6527*c_1001_9^5 - 138157/6527*c_1001_9^4 - 108988/6527*c_1001_9^3 + 401168/6527*c_1001_9^2 + 14580/107*c_1001_9 + 571304/6527, c_1001_9^8 + 6*c_1001_9^7 + c_1001_9^6 - 62*c_1001_9^5 - 127*c_1001_9^4 + 82*c_1001_9^3 + 584*c_1001_9^2 + 772*c_1001_9 + 361 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.160 Total time: 6.379 seconds, Total memory usage: 87.75MB