Magma V2.19-8 Tue Aug 20 2013 23:41:13 on localhost [Seed = 1393899484] Type ? for help. Type -D to quit. Loading file "L12n1072__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1072 geometric_solution 9.96524606 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 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 0 0 0 -5 -1 6 -1 0 1 0 1 -6 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164630491808 0.689098610872 0 5 2 4 0132 0132 3201 3120 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.763490681894 0.440448153858 1 0 6 5 2310 0132 0132 1230 1 1 0 1 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 5 -5 0 0 0 0 0 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.264986464559 0.764686264658 7 8 9 0 0132 0132 0132 0132 1 0 0 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 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 0.960091752957 1.416375668242 1 10 0 7 3120 0132 0132 0132 1 0 0 1 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 6 -6 0 0 0 0 0 1 0 0 -1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317296840756 0.621285565378 2 1 8 9 3012 0132 1023 3201 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 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 0.686160689549 0.776117274525 9 8 10 2 2031 1023 2103 0132 1 1 1 0 0 0 1 -1 0 0 0 0 1 0 0 -1 1 0 -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 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162319343571 1.058840330293 3 9 4 10 0132 2031 0132 1302 1 0 1 0 0 0 0 0 -1 0 0 1 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 6 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532746186973 0.742362165696 6 3 5 10 1023 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.110253707912 0.710308319392 7 5 6 3 1302 2310 1302 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 1 0 0 -1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582097668806 1.129043727929 6 4 7 8 2103 0132 2031 1023 1 1 1 0 0 1 -1 0 0 0 0 0 -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 -6 6 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 0 0 0 0 -0.034268190813 0.926702813172 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0110_8'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : d['c_0110_8'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_0110_8'], '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' : d['1'], 's_0_4' : 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_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0110_8'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0110_10'], 'c_1100_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_10, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 113618969/517780*c_0110_8^8 - 98598671/517780*c_0110_8^7 - 252365506/129445*c_0110_8^6 - 558155793/258890*c_0110_8^5 - 644658501/129445*c_0110_8^4 - 1505306479/129445*c_0110_8^3 - 1133924781/517780*c_0110_8^2 - 8368266283/517780*c_0110_8 - 412446551/258890, c_0011_0 - 1, c_0011_10 - 24015/51778*c_0110_8^8 - 11291/25889*c_0110_8^7 - 214145/51778*c_0110_8^6 - 124362/25889*c_0110_8^5 - 276322/25889*c_0110_8^4 - 640299/25889*c_0110_8^3 - 276479/51778*c_0110_8^2 - 852781/25889*c_0110_8 - 224901/51778, c_0011_3 + 40455/51778*c_0110_8^8 + 33109/51778*c_0110_8^7 + 176450/25889*c_0110_8^6 + 189510/25889*c_0110_8^5 + 436054/25889*c_0110_8^4 + 1051237/25889*c_0110_8^3 + 315363/51778*c_0110_8^2 + 2909251/51778*c_0110_8 + 175872/25889, c_0011_9 - 11003/51778*c_0110_8^8 - 6303/25889*c_0110_8^7 - 105047/51778*c_0110_8^6 - 67545/25889*c_0110_8^5 - 148914/25889*c_0110_8^4 - 320692/25889*c_0110_8^3 - 221943/51778*c_0110_8^2 - 444690/25889*c_0110_8 - 105553/51778, c_0101_0 - 1, c_0101_10 + 6619/51778*c_0110_8^8 + 4621/51778*c_0110_8^7 + 29708/25889*c_0110_8^6 + 29461/25889*c_0110_8^5 + 75252/25889*c_0110_8^4 + 173138/25889*c_0110_8^3 + 28625/51778*c_0110_8^2 + 497633/51778*c_0110_8 + 12564/25889, c_0101_2 - 24015/51778*c_0110_8^8 - 11291/25889*c_0110_8^7 - 214145/51778*c_0110_8^6 - 124362/25889*c_0110_8^5 - 276322/25889*c_0110_8^4 - 640299/25889*c_0110_8^3 - 276479/51778*c_0110_8^2 - 852781/25889*c_0110_8 - 173123/51778, c_0101_3 + 5507/25889*c_0110_8^8 + 9821/51778*c_0110_8^7 + 95211/51778*c_0110_8^6 + 52641/25889*c_0110_8^5 + 115214/25889*c_0110_8^4 + 277658/25889*c_0110_8^3 + 53761/25889*c_0110_8^2 + 728787/51778*c_0110_8 + 112729/51778, c_0101_5 + 6619/51778*c_0110_8^8 + 4621/51778*c_0110_8^7 + 29708/25889*c_0110_8^6 + 29461/25889*c_0110_8^5 + 75252/25889*c_0110_8^4 + 173138/25889*c_0110_8^3 + 28625/51778*c_0110_8^2 + 549411/51778*c_0110_8 + 12564/25889, c_0110_10 - 9533/25889*c_0110_8^8 - 8216/25889*c_0110_8^7 - 85034/25889*c_0110_8^6 - 93960/25889*c_0110_8^5 - 222587/25889*c_0110_8^4 - 516684/25889*c_0110_8^3 - 115855/25889*c_0110_8^2 - 730776/25889*c_0110_8 - 80936/25889, c_0110_8^9 + c_0110_8^8 + 9*c_0110_8^7 + 11*c_0110_8^6 + 24*c_0110_8^5 + 56*c_0110_8^4 + 17*c_0110_8^3 + 75*c_0110_8^2 + 17*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB