Magma V2.19-8 Tue Aug 20 2013 17:58:09 on localhost [Seed = 122073941] Type ? for help. Type -D to quit. Loading file "10^2_148__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_148 geometric_solution 11.79408628 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 0 -1 1 0 0 -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 0.261712740296 1.037429878713 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 1 -1 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 -0.417643772085 1.120251088120 5 0 9 8 0132 0132 0132 0132 0 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 -1 1 0 -3 0 3 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 0.081306224369 0.919253385906 8 9 7 0 0132 0132 3120 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081306224369 0.919253385906 10 11 0 12 0132 0132 0132 0132 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 2 1 -3 -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 0.261712740296 1.037429878713 2 1 6 11 0132 0132 2103 3012 1 0 1 1 0 0 0 0 -1 0 0 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 -1 1 0 3 0 -1 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018227449702 0.846916745866 5 11 1 10 2103 2031 0132 2031 1 0 1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974599436654 1.180206929889 12 11 3 1 3120 2310 3120 0132 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 -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 0.236243099495 0.605917482906 3 12 2 10 0132 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 -0.095470461740 1.079395161802 12 3 10 2 1023 0132 1023 0132 0 0 1 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 0 0 0 0 0 1 -1 3 0 0 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095470461740 1.079395161802 4 6 9 8 0132 1302 1023 1023 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 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 0.081306224369 0.919253385906 6 4 5 7 1302 0132 1230 3201 0 1 1 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 0 0 0 0 -2 2 0 -1 0 1 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 -0.417643772085 1.120251088120 8 9 4 7 1023 1023 0132 3120 0 0 1 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 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081306224369 0.919253385906 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_3'], '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' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], '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_0101_9']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1100_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : negation(d['c_1100_10']), '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_0101_7']), '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_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_9']})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_9, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 7602472065350590727/1056885133377296952*c_1100_10^7 + 63173973978928874783/4579835577968286792*c_1100_10^6 + 915619215393635138345/13739506733904860376*c_1100_10^5 - 139896418989621207053/13739506733904860376*c_1100_10^4 - 1567901461234021167289/6869753366952430188*c_1100_10^3 - 2312854141919810971751/6869753366952430188*c_1100_10^2 - 1043815227060601277521/4579835577968286792*c_1100_10 - 1086783098826391909055/13739506733904860376, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 2458983274241/3496701869226*c_1100_10^7 - 445079207347/1165567289742*c_1100_10^6 + 21841613694313/1748350934613*c_1100_10^5 + 11302537380707/1748350934613*c_1100_10^4 - 130574213721659/3496701869226*c_1100_10^3 - 123339594808163/1748350934613*c_1100_10^2 - 50548894092751/1165567289742*c_1100_10 - 15227793982801/1748350934613, c_0011_6 - 927010137872/1748350934613*c_1100_10^7 + 544500310946/582783644871*c_1100_10^6 + 8850785854916/1748350934613*c_1100_10^5 + 1122651081259/1748350934613*c_1100_10^4 - 33666504668864/1748350934613*c_1100_10^3 - 49561992287116/1748350934613*c_1100_10^2 - 9287412674740/582783644871*c_1100_10 - 2704801032548/1748350934613, c_0011_7 - 436965155822/582783644871*c_1100_10^7 + 454917200294/194261214957*c_1100_10^6 + 4565191147675/1165567289742*c_1100_10^5 - 2878766611646/582783644871*c_1100_10^4 - 20689250369287/1165567289742*c_1100_10^3 - 18775177120073/1165567289742*c_1100_10^2 - 2020656919835/388522429914*c_1100_10 + 386237123569/582783644871, c_0101_0 - 1, c_0101_1 + 1920113903708/1748350934613*c_1100_10^7 - 224092308299/64753738319*c_1100_10^6 - 21629932709833/3496701869226*c_1100_10^5 + 16650024358778/1748350934613*c_1100_10^4 + 92896738804849/3496701869226*c_1100_10^3 + 62457875717771/3496701869226*c_1100_10^2 + 1621739063005/1165567289742*c_1100_10 - 1488584762755/1748350934613, c_0101_10 + 275871892478/582783644871*c_1100_10^7 - 283391818025/194261214957*c_1100_10^6 - 1494337872890/582783644871*c_1100_10^5 + 3562360237621/1165567289742*c_1100_10^4 + 6408476996861/582783644871*c_1100_10^3 + 13384954908377/1165567289742*c_1100_10^2 + 681473393319/129507476638*c_1100_10 + 1342894404019/1165567289742, c_0101_3 - 586059370325/3496701869226*c_1100_10^7 + 40151260493/1165567289742*c_1100_10^6 + 5367677979073/1748350934613*c_1100_10^5 - 2331667613731/1748350934613*c_1100_10^4 - 29005684504205/3496701869226*c_1100_10^3 - 15482713210817/1748350934613*c_1100_10^2 + 281569402385/1165567289742*c_1100_10 + 712336073951/1748350934613, c_0101_7 + 1808874613351/3496701869226*c_1100_10^7 - 1100004258250/582783644871*c_1100_10^6 - 3006197215757/1748350934613*c_1100_10^5 + 7670981130890/1748350934613*c_1100_10^4 + 17133968574095/1748350934613*c_1100_10^3 + 9705686215468/1748350934613*c_1100_10^2 + 211165126945/194261214957*c_1100_10 - 382676039891/3496701869226, c_0101_9 - 3574649530361/3496701869226*c_1100_10^7 + 3022227680875/1165567289742*c_1100_10^6 + 13751770510339/1748350934613*c_1100_10^5 - 10823034967138/1748350934613*c_1100_10^4 - 102388207604501/3496701869226*c_1100_10^3 - 52467353734220/1748350934613*c_1100_10^2 - 4066054887005/388522429914*c_1100_10 - 2302264626517/1748350934613, c_1001_2 - 677117731355/1165567289742*c_1100_10^7 + 916826516441/582783644871*c_1100_10^6 + 5205846092773/1165567289742*c_1100_10^5 - 2993014409296/582783644871*c_1100_10^4 - 19542933885553/1165567289742*c_1100_10^3 - 14348834428945/1165567289742*c_1100_10^2 + 810818988407/1165567289742*c_1100_10 + 864831161873/1165567289742, c_1100_10^8 - 368/169*c_1100_10^7 - 106/13*c_1100_10^6 + 210/169*c_1100_10^5 + 5207/169*c_1100_10^4 + 7470/169*c_1100_10^3 + 347/13*c_1100_10^2 + 970/169*c_1100_10 + 97/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB