Magma V2.19-8 Tue Aug 20 2013 23:57:51 on localhost [Seed = 1545221249] Type ? for help. Type -D to quit. Loading file "L14n363__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n363 geometric_solution 11.12854463 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 1 0 -1 1 0 -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 -5 -1 6 1 0 -1 0 0 1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355657349585 0.740845956219 0 4 6 5 0132 2103 0132 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 1 -1 -1 0 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736684648461 0.548494537300 7 0 8 5 0132 0132 0132 3120 1 0 1 1 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 5 -5 0 0 0 0 0 0 -6 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670016580283 1.342740932460 8 6 9 0 2103 0132 0132 0132 1 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 -1 0 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 -0.320206315757 0.748708435528 10 1 0 9 0132 2103 0132 0132 1 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 6 -6 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 -0.288685300830 1.481691912438 2 11 1 9 3120 0132 0132 3120 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 0 0 -1 1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469426740394 0.980204738560 7 3 11 1 2103 0132 2103 0132 1 0 1 1 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177279508029 0.772034007311 2 8 6 10 0132 3120 2103 2103 1 0 1 1 0 -1 0 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 5 0 -5 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 0.526288515583 0.462785142598 11 7 3 2 2103 3120 2103 0132 1 0 1 1 0 1 0 -1 -1 0 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 -5 0 5 0 0 0 0 1 0 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204932961969 0.553957708209 5 10 4 3 3120 3120 0132 0132 1 0 1 1 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 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146938316986 0.978954833470 4 9 11 7 0132 3120 0132 2103 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 0 0 0 0 0 0 0 0 0 0 1 -6 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498874737859 0.607402609718 6 5 8 10 2103 0132 2103 0132 1 0 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507592365152 1.014834206805 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : d['c_0011_3'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : negation(d['1']), 's_0_11' : 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_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(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_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_2']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_0']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1711543/139580480*c_1100_0^7 + 1576621/8723780*c_1100_0^6 - 9696147/10736960*c_1100_0^5 + 10946001/6979024*c_1100_0^4 - 243867487/139580480*c_1100_0^3 + 191077/75205*c_1100_0^2 - 265297263/139580480*c_1100_0 + 44427277/17447560, c_0011_0 - 1, c_0011_10 + 7/130*c_1100_0^7 - 17/20*c_1100_0^6 + 613/130*c_1100_0^5 - 2593/260*c_1100_0^4 + 1359/130*c_1100_0^3 - 3561/260*c_1100_0^2 + 71/10*c_1100_0 - 2629/260, c_0011_11 + 23/1040*c_1100_0^7 - 27/80*c_1100_0^6 + 1891/1040*c_1100_0^5 - 811/208*c_1100_0^4 + 5347/1040*c_1100_0^3 - 4767/1040*c_1100_0^2 + 2883/1040*c_1100_0 - 2651/1040, c_0011_3 + 11/80*c_1100_0^7 - 1893/1040*c_1100_0^6 + 7823/1040*c_1100_0^5 - 8137/1040*c_1100_0^4 + 2623/208*c_1100_0^3 - 7357/1040*c_1100_0^2 + 9991/1040*c_1100_0 - 577/208, c_0011_8 + 3/104*c_1100_0^7 - 89/260*c_1100_0^6 + 543/520*c_1100_0^5 + 171/260*c_1100_0^4 - 73/520*c_1100_0^3 + 131/52*c_1100_0^2 - 113/520*c_1100_0 + 517/260, c_0101_0 - 1, c_0101_1 + 3/520*c_1100_0^7 - 41/520*c_1100_0^6 + 191/520*c_1100_0^5 - 73/104*c_1100_0^4 + 59/40*c_1100_0^3 - 217/520*c_1100_0^2 + 423/520*c_1100_0 + 119/520, c_0101_10 + 3/40*c_1100_0^7 - 523/520*c_1100_0^6 + 171/40*c_1100_0^5 - 519/104*c_1100_0^4 + 4011/520*c_1100_0^3 - 207/40*c_1100_0^2 + 243/40*c_1100_0 - 1383/520, c_0101_11 + 1/40*c_1100_0^7 - 49/130*c_1100_0^6 + 1021/520*c_1100_0^5 - 49/13*c_1100_0^4 + 169/40*c_1100_0^3 - 643/130*c_1100_0^2 + 1613/520*c_1100_0 - 419/130, c_0101_2 + 17/1040*c_1100_0^7 - 269/1040*c_1100_0^6 + 1509/1040*c_1100_0^5 - 665/208*c_1100_0^4 + 3813/1040*c_1100_0^3 - 4333/1040*c_1100_0^2 + 2037/1040*c_1100_0 - 2889/1040, c_1001_10 + 1/10*c_1100_0^7 - 651/520*c_1100_0^6 + 589/130*c_1100_0^5 - 987/520*c_1100_0^4 + 362/65*c_1100_0^3 + 597/520*c_1100_0^2 + 129/26*c_1100_0 + 1037/520, c_1100_0^8 - 14*c_1100_0^7 + 66*c_1100_0^6 - 114*c_1100_0^5 + 194*c_1100_0^4 - 162*c_1100_0^3 + 194*c_1100_0^2 - 94*c_1100_0 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB