Magma V2.19-8 Tue Aug 20 2013 18:09:21 on localhost [Seed = 593664098] Type ? for help. Type -D to quit. Loading file "10^2_51__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_51 geometric_solution 13.32920880 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 0 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 -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 0.377021437212 1.336454368132 0 3 6 5 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815480459749 0.321299613966 7 0 8 5 0132 0132 0132 2031 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 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 0 0 0 0.526628999976 0.568698581834 7 1 9 0 2031 3120 0132 0132 0 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062570882640 0.889689650824 10 11 0 11 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306910101809 0.804475367237 7 2 1 6 1023 1302 0132 3120 0 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 1 0 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 0.938510718606 0.418227184066 5 9 12 1 3120 2103 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 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 0.672051016068 1.170226913279 2 5 3 10 0132 1023 1302 1023 0 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 -1 0 1 0 0 0 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 0.484706291450 0.792660711158 13 14 14 2 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029017688856 0.838337544132 13 6 14 3 1302 2103 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.367253268550 0.345215668809 4 12 12 7 0132 2031 0321 1023 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 -1 1 0 0 0 1 -1 0 -1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672051016068 1.670226913279 4 4 13 14 3012 0132 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 -1 1 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 0.614684317407 0.713469339651 10 13 10 6 1302 0213 0321 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 -1 0 -5 0 4 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113194817160 0.576495245688 8 9 12 11 0132 2031 0213 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.413602992322 0.469288349508 9 8 11 8 2031 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123101509916 0.952641050903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_13' : negation(d['c_0101_3']), 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_14'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_14'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_13' : d['c_0011_9'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_1001_14'], 'c_1010_10' : d['c_0011_12'], 'c_1010_14' : negation(d['c_0101_8']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0011_10'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_6'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : d['c_0101_14'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_14'], 'c_1100_3' : d['c_0101_14'], 'c_1100_2' : d['c_0011_6'], 'c_1100_14' : d['c_0101_8'], 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_0101_14'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1100_13' : d['c_0011_9'], 's_3_10' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_14'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_1001_14'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_6']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_14'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : d['c_0101_8'], 'c_0110_12' : d['c_0101_6'], 'c_0110_14' : d['c_0011_6'], 's_0_13' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 's_0_8' : d['1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_13']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], '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_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_1'], 'c_0101_13' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_14, c_0101_3, c_0101_6, c_0101_8, c_1001_1, c_1001_14 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1024/24375*c_1001_1 - 3072/1625, c_0011_0 - 1, c_0011_10 + 1/5*c_1001_1 + 1/2, c_0011_12 - 3/5*c_1001_1 + 1, c_0011_13 - 1/5*c_1001_1 + 1/2, c_0011_3 + 2, c_0011_6 - 3/5*c_1001_1, c_0011_9 + 1/5*c_1001_1, c_0101_0 - 2/5*c_1001_1, c_0101_1 - 1, c_0101_14 + 1/5*c_1001_1 + 1, c_0101_3 + 2/5*c_1001_1 - 1/2, c_0101_6 - 1/2, c_0101_8 + 1/5*c_1001_1, c_1001_1^2 + 25/4, c_1001_14 + 1/2 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_14, c_0101_3, c_0101_6, c_0101_8, c_1001_1, c_1001_14 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 9459282032/69260193*c_1001_14^7 + 38777997223/69260193*c_1001_14^6 + 18409342039/23086731*c_1001_14^5 + 26758821488/69260193*c_1001_14^4 - 267649390/23086731*c_1001_14^3 + 4557728865/123129232*c_1001_14^2 + 82856582549/1108163088*c_1001_14 + 59086168811/4432652352, c_0011_0 - 1, c_0011_10 - 448/27*c_1001_14^7 - 1568/27*c_1001_14^6 - 592/9*c_1001_14^5 - 520/27*c_1001_14^4 + 4/3*c_1001_14^3 - 70/9*c_1001_14^2 - 127/27*c_1001_14 + 5/27, c_0011_12 - 448/9*c_1001_14^7 - 512/3*c_1001_14^6 - 560/3*c_1001_14^5 - 472/9*c_1001_14^4 + 8/9*c_1001_14^3 - 178/9*c_1001_14^2 - 83/9*c_1001_14 - 5/3, c_0011_13 - 320/27*c_1001_14^7 - 928/27*c_1001_14^6 - 272/9*c_1001_14^5 - 176/27*c_1001_14^4 - 32/9*c_1001_14^3 - 40/9*c_1001_14^2 - 35/27*c_1001_14 - 20/27, c_0011_3 + 64/9*c_1001_14^6 + 64/3*c_1001_14^5 + 32/3*c_1001_14^4 - 128/9*c_1001_14^3 - 44/9*c_1001_14^2 + 52/9*c_1001_14 - 13/9, c_0011_6 - 128/3*c_1001_14^7 - 448/3*c_1001_14^6 - 176*c_1001_14^5 - 200/3*c_1001_14^4 - 4*c_1001_14^3 - 14*c_1001_14^2 - 32/3*c_1001_14 - 5/3, c_0011_9 - 448/27*c_1001_14^7 - 1568/27*c_1001_14^6 - 592/9*c_1001_14^5 - 520/27*c_1001_14^4 + 4/3*c_1001_14^3 - 70/9*c_1001_14^2 - 100/27*c_1001_14 + 5/27, c_0101_0 + 896/27*c_1001_14^7 + 3136/27*c_1001_14^6 + 1184/9*c_1001_14^5 + 1040/27*c_1001_14^4 - 8/3*c_1001_14^3 + 140/9*c_1001_14^2 + 254/27*c_1001_14 + 17/27, c_0101_1 - 1, c_0101_14 - 448/27*c_1001_14^7 - 1376/27*c_1001_14^6 - 400/9*c_1001_14^5 - 16/27*c_1001_14^4 + 28/9*c_1001_14^3 - 20/3*c_1001_14^2 - 25/27*c_1001_14 + 20/27, c_0101_3 + 832/27*c_1001_14^7 + 2624/27*c_1001_14^6 + 832/9*c_1001_14^5 + 472/27*c_1001_14^4 + 4*c_1001_14^3 + 124/9*c_1001_14^2 + 79/27*c_1001_14 + 28/27, c_0101_6 + 64/9*c_1001_14^6 + 64/3*c_1001_14^5 + 56/3*c_1001_14^4 + 16/9*c_1001_14^3 - 8/9*c_1001_14^2 + 16/9*c_1001_14 + 5/9, c_0101_8 - 64/27*c_1001_14^7 - 224/27*c_1001_14^6 - 64/9*c_1001_14^5 + 80/27*c_1001_14^4 + 16/3*c_1001_14^3 + 8/9*c_1001_14^2 + 32/27*c_1001_14 + 20/27, c_1001_1 - 2176/27*c_1001_14^7 - 7616/27*c_1001_14^6 - 2896/9*c_1001_14^5 - 2680/27*c_1001_14^4 + 28/3*c_1001_14^3 - 250/9*c_1001_14^2 - 532/27*c_1001_14 - 49/27, c_1001_14^8 + 4*c_1001_14^7 + 11/2*c_1001_14^6 + 5/2*c_1001_14^5 - 1/16*c_1001_14^4 + 3/8*c_1001_14^3 + 31/64*c_1001_14^2 + 3/64*c_1001_14 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.280 Total time: 5.490 seconds, Total memory usage: 64.12MB