Magma V2.19-8 Mon Sep 9 2013 19:28:20 on localhost [Seed = 3701528367] Type ? for help. Type -D to quit. Loading file "10^2_46__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_46 geometric_solution 14.99298811 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 1 3 0132 0132 2310 0132 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 -1 1 0 9 0 1 -10 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624643793598 0.463052983087 0 0 2 3 0132 3201 2103 2103 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 -1 0 1 -9 0 9 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 1.056417888615 1.303235290550 1 0 5 4 2103 0132 0132 0132 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 1 -1 0 -9 0 0 9 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552326099700 0.816672757874 5 4 0 1 0132 0132 0132 2103 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 -10 0 10 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 0.552326099700 0.816672757874 6 3 2 7 0132 0132 0132 0132 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073525783462 0.847619622190 3 8 9 2 0132 0132 0132 0132 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 -1 0 1 10 0 -10 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073525783462 0.847619622190 4 8 10 9 0132 1023 0132 3120 1 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 -1 0 1 -9 0 -1 10 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462650527159 1.089573575135 11 8 4 9 0132 0213 0132 0132 0 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 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 0.462650527159 1.089573575135 6 5 7 12 1023 0132 0213 0132 0 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 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 0.462650527159 1.089573575135 6 13 7 5 3120 0132 0132 0132 0 0 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 0 0 0 0 0 0 0 -10 0 0 10 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462650527159 1.089573575135 11 14 15 6 3120 0132 0132 0132 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 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 0.375000000000 0.330718913883 7 12 15 10 0132 0321 3120 3120 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 14 13 8 11 2031 0213 0132 0321 0 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 -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 0.750000000000 0.661437827766 14 9 12 15 3201 0132 0213 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375000000000 0.330718913883 15 10 12 13 0132 0132 1302 2310 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 1 0 0 -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 0.500000000000 1.322875655532 14 13 11 10 0132 2310 3120 0132 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 -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 0.500000000000 1.322875655532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_1001_11']), 'c_1001_14' : negation(d['c_0011_11']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_13']), 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_2'], 'c_1010_13' : d['c_1001_11'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 'c_1010_15' : negation(d['c_0110_13']), 'c_1010_14' : negation(d['c_0110_13']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 'c_0101_15' : negation(d['c_0011_12']), 'c_0101_14' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : negation(d['1']), 's_2_15' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : d['c_0011_10'], 'c_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1100_2'], 'c_1100_14' : d['c_0011_13'], 'c_1100_15' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_11']), 'c_1100_13' : negation(d['c_0011_10']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_13'], 'c_1010_5' : d['c_1001_2'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_12'], 's_0_15' : d['1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_4'], '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_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : negation(d['c_0011_12']), 'c_1010_4' : d['c_1001_2'], 'c_0101_12' : d['c_0011_13'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_3'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_12'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_15' : d['1'], 's_1_14' : negation(d['1']), 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_13'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_0101_13' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0101_1, c_0101_11, c_0101_4, c_0101_6, c_0110_13, c_1001_0, c_1001_11, c_1001_12, c_1001_2, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 35921/15480400*c_0110_13*c_1100_2^7 + 517757/61921600*c_0110_13*c_1100_2^6 + 191781/12384320*c_0110_13*c_1100_2^5 + 706689/30960800*c_0110_13*c_1100_2^4 + 126569/3096080*c_0110_13*c_1100_2^3 + 2813047/61921600*c_0110_13*c_1100_2^2 + 2612659/61921600*c_0110_13*c_1100_2 - 259659/30960800*c_0110_13 - 35921/7740200*c_1100_2^7 - 517757/30960800*c_1100_2^6 - 191781/6192160*c_1100_2^5 - 706689/15480400*c_1100_2^4 - 126569/1548040*c_1100_2^3 - 2813047/30960800*c_1100_2^2 - 2612659/30960800*c_1100_2 + 259659/15480400, c_0011_0 - 1, c_0011_10 + 21/458*c_0110_13*c_1100_2^7 + 95/458*c_0110_13*c_1100_2^6 + 381/916*c_0110_13*c_1100_2^5 + 135/229*c_0110_13*c_1100_2^4 + 269/229*c_0110_13*c_1100_2^3 + 619/458*c_0110_13*c_1100_2^2 + 795/916*c_0110_13*c_1100_2 - 42/229*c_0110_13 + 21/458*c_1100_2^7 + 95/458*c_1100_2^6 + 381/916*c_1100_2^5 + 135/229*c_1100_2^4 + 269/229*c_1100_2^3 + 619/458*c_1100_2^2 + 795/916*c_1100_2 - 42/229, c_0011_11 + 1, c_0011_12 + 1/229*c_0110_13*c_1100_2^7 + 29/916*c_0110_13*c_1100_2^6 + 69/916*c_0110_13*c_1100_2^5 + 215/916*c_0110_13*c_1100_2^4 + 193/458*c_0110_13*c_1100_2^3 + 565/916*c_0110_13*c_1100_2^2 + 959/916*c_0110_13*c_1100_2 + 671/916*c_0110_13 - 1/229*c_1100_2^7 - 29/916*c_1100_2^6 - 69/916*c_1100_2^5 - 215/916*c_1100_2^4 - 193/458*c_1100_2^3 - 565/916*c_1100_2^2 - 959/916*c_1100_2 - 671/916, c_0011_13 + 4/229*c_1100_2^7 + 29/229*c_1100_2^6 + 69/229*c_1100_2^5 + 201/458*c_1100_2^4 + 157/229*c_1100_2^3 + 336/229*c_1100_2^2 + 272/229*c_1100_2 + 197/458, c_0011_3 - c_1100_2, c_0101_1 - 13/916*c_1100_2^7 - 37/916*c_1100_2^6 + 31/458*c_1100_2^5 + 40/229*c_1100_2^4 + 5/916*c_1100_2^3 + 53/916*c_1100_2^2 + 237/229*c_1100_2 + 255/458, c_0101_11 + 4/229*c_1100_2^7 + 29/229*c_1100_2^6 + 69/229*c_1100_2^5 + 201/458*c_1100_2^4 + 157/229*c_1100_2^3 + 336/229*c_1100_2^2 + 272/229*c_1100_2 + 197/458, c_0101_4 - 8/229*c_1100_2^7 - 58/229*c_1100_2^6 - 138/229*c_1100_2^5 - 201/229*c_1100_2^4 - 314/229*c_1100_2^3 - 443/229*c_1100_2^2 - 315/229*c_1100_2 + 32/229, c_0101_6 - 2/229*c_1100_2^7 - 29/458*c_1100_2^6 - 69/458*c_1100_2^5 - 215/458*c_1100_2^4 - 193/229*c_1100_2^3 - 565/458*c_1100_2^2 - 959/458*c_1100_2 - 671/458, c_0110_13^2 - c_0110_13 + 2, c_1001_0 + 13/916*c_1100_2^7 + 37/916*c_1100_2^6 - 31/458*c_1100_2^5 - 40/229*c_1100_2^4 - 5/916*c_1100_2^3 - 53/916*c_1100_2^2 - 237/229*c_1100_2 - 255/458, c_1001_11 - 1, c_1001_12 + 2/229*c_1100_2^7 + 29/458*c_1100_2^6 + 69/458*c_1100_2^5 + 215/458*c_1100_2^4 + 193/229*c_1100_2^3 + 565/458*c_1100_2^2 + 959/458*c_1100_2 + 671/458, c_1001_2 - 8/229*c_1100_2^7 - 58/229*c_1100_2^6 - 138/229*c_1100_2^5 - 201/229*c_1100_2^4 - 314/229*c_1100_2^3 - 443/229*c_1100_2^2 - 315/229*c_1100_2 + 32/229, c_1100_2^8 + 4*c_1100_2^7 + 8*c_1100_2^6 + 12*c_1100_2^5 + 22*c_1100_2^4 + 28*c_1100_2^3 + 24*c_1100_2^2 + 4*c_1100_2 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.410 seconds, Total memory usage: 32.09MB