Magma V2.19-8 Tue Aug 20 2013 23:44:27 on localhost [Seed = 2547118623] Type ? for help. Type -D to quit. Loading file "L14n38223__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38223 geometric_solution 10.10384278 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 -1 0 0 1 -1 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.161024419273 0.707925211555 0 3 6 5 0132 3120 0132 0132 1 1 0 1 0 0 1 -1 0 0 0 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 0 0 -5 5 0 0 0 0 -6 5 0 1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476650594206 0.546670692275 7 0 8 7 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644824236910 0.654482789626 5 1 8 0 0132 3120 1023 0132 1 1 0 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 6 -5 -1 0 0 1 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689750419648 0.425460303498 9 8 0 6 0132 0132 0132 3012 1 1 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 1 0 -6 0 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815708453936 0.484226042708 3 7 1 10 0132 0213 0132 0132 1 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 0 0 0 0 0 5 -5 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 0.804507847670 0.913148908351 10 8 4 1 0321 3012 1230 0132 1 1 1 1 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 -5 5 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745123951945 1.082326259169 2 2 5 9 0132 1302 0213 2031 1 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 0 0 0 0 0 5 -5 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 0.236122397267 0.775319406053 6 4 3 2 1230 0132 1023 0132 1 1 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147318014301 0.591662916528 4 7 10 10 0132 1302 2031 0321 1 1 1 1 0 0 1 -1 -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 -6 6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625950415322 0.570833018171 6 9 5 9 0321 0321 0132 1302 1 1 1 1 0 1 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 -6 0 6 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366598627552 1.013031170325 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : negation(d['c_1001_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_4'], 'c_1100_10' : d['c_0101_9'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_10'], '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_2'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], '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' : 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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_10' : negation(d['c_0011_6']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_8, c_0101_9, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1711833286/2363199157*c_1001_2^7 + 124080417/214836287*c_1001_2^6 - 12167543975/2363199157*c_1001_2^5 + 3646040312/214836287*c_1001_2^4 - 107931574262/2363199157*c_1001_2^3 + 6558416899/214836287*c_1001_2^2 - 21131424168/2363199157*c_1001_2 + 2856620534/2363199157, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 136029/191647*c_1001_2^7 - 46015/191647*c_1001_2^6 - 953177/191647*c_1001_2^5 + 2126513/191647*c_1001_2^4 - 5700866/191647*c_1001_2^3 - 1764237/191647*c_1001_2^2 - 950155/191647*c_1001_2 + 45247/191647, c_0011_4 - 48/191647*c_1001_2^7 - 3537/191647*c_1001_2^6 - 9432/191647*c_1001_2^5 - 23392/191647*c_1001_2^4 - 1179/191647*c_1001_2^3 - 2888/191647*c_1001_2^2 - 309017/191647*c_1001_2 - 192134/191647, c_0011_6 - 45967/191647*c_1001_2^7 + 2563/191647*c_1001_2^6 - 312577/191647*c_1001_2^5 + 851918/191647*c_1001_2^4 - 2171145/191647*c_1001_2^3 + 140965/191647*c_1001_2^2 - 53823/191647*c_1001_2 + 328163/191647, c_0101_0 - 487/191647*c_1001_2^7 + 48/191647*c_1001_2^6 + 128/191647*c_1001_2^5 + 18198/191647*c_1001_2^4 + 16/191647*c_1001_2^3 + 2640/191647*c_1001_2^2 - 1008/191647*c_1001_2 + 310478/191647, c_0101_10 - 439/191647*c_1001_2^7 + 3585/191647*c_1001_2^6 + 9560/191647*c_1001_2^5 + 41590/191647*c_1001_2^4 + 1195/191647*c_1001_2^3 + 5528/191647*c_1001_2^2 + 499656/191647*c_1001_2 + 119318/191647, c_0101_8 + 128907/191647*c_1001_2^7 + 24286/191647*c_1001_2^6 + 895233/191647*c_1001_2^5 - 2147655/191647*c_1001_2^4 + 5693623/191647*c_1001_2^3 + 952436/191647*c_1001_2^2 + 639876/191647*c_1001_2 - 237285/191647, c_0101_9 + 73255/191647*c_1001_2^7 - 4072/191647*c_1001_2^6 + 500200/191647*c_1001_2^5 - 1352150/191647*c_1001_2^4 + 3512171/191647*c_1001_2^3 - 223960/191647*c_1001_2^2 + 85512/191647*c_1001_2 - 338774/191647, c_1001_10 - 10659/191647*c_1001_2^7 - 30825/191647*c_1001_2^6 - 82200/191647*c_1001_2^5 - 20017/191647*c_1001_2^4 - 10275/191647*c_1001_2^3 - 1312081/191647*c_1001_2^2 - 502557/191647*c_1001_2 - 191990/191647, c_1001_2^8 + 7*c_1001_2^6 - 18*c_1001_2^5 + 48*c_1001_2^4 - 3*c_1001_2^3 + 8*c_1001_2^2 - 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB