Magma V2.19-8 Wed Aug 21 2013 00:53:10 on localhost [Seed = 1595493063] Type ? for help. Type -D to quit. Loading file "L12n1310__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1310 geometric_solution 11.77483481 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 -1 -1 0 1 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923257560048 1.105705573994 0 5 5 4 0132 0132 2103 3120 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 0 0 0 0 0 0 1 0 -1 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 0.689922963187 0.576196174997 6 0 8 7 0132 0132 0132 0132 1 1 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 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810123682855 0.741016257209 4 7 9 0 3120 2310 0132 0132 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 1 0 -1 0 0 1 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537983932312 0.243094403714 1 10 0 3 3120 0132 0132 3120 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 0 0 0 -1 1 0 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 0.129799618440 0.600029230822 1 1 11 6 2103 0132 0132 2031 1 0 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 0 0 0 1 0 1 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146130431202 0.713117849007 2 5 11 12 0132 1302 1302 0132 0 1 1 1 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 0 0 0 0 0 0 2 -1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.268016608626 0.757068706296 11 10 2 3 1302 1023 0132 3201 1 1 1 1 0 0 0 0 -1 0 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 0 0 2 0 0 -2 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.100595763539 1.029037452210 9 9 12 2 0321 3201 1230 0132 1 1 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 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 0.333737562528 0.806193297979 8 10 8 3 0321 2310 2310 0132 1 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 0 0 0 0 0 1 -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 0.561637835913 1.058929765346 7 4 12 9 1023 0132 1302 3201 1 1 1 1 0 0 1 -1 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 -2 1 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283102746907 0.682001627815 6 7 12 5 2031 2031 3012 0132 1 0 1 1 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 0 0 0 1 0 0 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.062345343853 1.190163212301 10 11 6 8 2031 1230 0132 3012 0 1 1 1 0 0 0 0 -1 0 1 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 1 -1 2 0 -2 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 0.547475970136 0.603392645654 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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_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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_3_4' : negation(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' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_9']), '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_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_9']), '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_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0110_10, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 141908/7385*c_1001_2^5 - 1039932/7385*c_1001_2^4 + 1770278/7385*c_1001_2^3 + 664015/1477*c_1001_2^2 + 863682/7385*c_1001_2 - 356217/7385, c_0011_0 - 1, c_0011_10 - 97/1055*c_1001_2^5 + 613/1055*c_1001_2^4 - 492/1055*c_1001_2^3 - 715/211*c_1001_2^2 - 2223/1055*c_1001_2 + 523/1055, c_0011_11 + 5/211*c_1001_2^5 - 49/211*c_1001_2^4 + 145/211*c_1001_2^3 - 55/211*c_1001_2^2 - 203/211*c_1001_2 - 164/211, c_0011_12 + 191/1055*c_1001_2^5 - 1281/1055*c_1001_2^4 + 306/211*c_1001_2^3 + 5706/1055*c_1001_2^2 + 3766/1055*c_1001_2 - 188/1055, c_0011_3 + 94/1055*c_1001_2^5 - 668/1055*c_1001_2^4 + 1038/1055*c_1001_2^3 + 2131/1055*c_1001_2^2 + 1543/1055*c_1001_2 + 67/211, c_0011_8 + 97/1055*c_1001_2^5 - 613/1055*c_1001_2^4 + 492/1055*c_1001_2^3 + 715/211*c_1001_2^2 + 2223/1055*c_1001_2 + 532/1055, c_0011_9 - 122/1055*c_1001_2^5 + 858/1055*c_1001_2^4 - 1217/1055*c_1001_2^3 - 660/211*c_1001_2^2 - 1208/1055*c_1001_2 + 288/1055, c_0101_0 - 1, c_0101_1 + 25/211*c_1001_2^5 - 803/1055*c_1001_2^4 + 671/1055*c_1001_2^3 + 4744/1055*c_1001_2^2 + 2943/1055*c_1001_2 - 1146/1055, c_0101_11 + 166/1055*c_1001_2^5 - 1247/1055*c_1001_2^4 + 2282/1055*c_1001_2^3 + 3449/1055*c_1001_2^2 + 772/1055*c_1001_2 - 169/211, c_0110_10 - 28/1055*c_1001_2^5 + 38/211*c_1001_2^4 - 179/1055*c_1001_2^3 - 1169/1055*c_1001_2^2 - 144/211*c_1001_2 + 623/1055, c_1001_12 - 1, c_1001_2^6 - 7*c_1001_2^5 + 10*c_1001_2^4 + 28*c_1001_2^3 + 13*c_1001_2^2 - 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.400 seconds, Total memory usage: 32.09MB