Magma V2.19-8 Wed Aug 21 2013 01:00:19 on localhost [Seed = 2851058348] Type ? for help. Type -D to quit. Loading file "L13n9333__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9333 geometric_solution 11.46787024 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 2 1 0 0 -1 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 -1 -1 2 0 0 1 -1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929778862528 0.982135408946 0 5 2 4 0132 0132 0321 0321 0 2 1 2 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072428693829 1.013011002018 6 0 1 3 0132 0132 0321 0132 0 2 1 2 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 1 0 -1 -10 0 0 10 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507222644855 0.465475126859 7 5 2 0 0132 0213 0132 0132 0 2 1 1 0 -1 0 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 -2 1 1 11 0 -10 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.016663597053 1.073912688160 8 1 0 5 0132 0321 0132 0213 0 2 1 2 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 -2 2 -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 0.507222644855 0.465475126859 9 1 3 4 0132 0132 0213 0213 0 1 2 1 0 0 1 -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 2 -2 -1 0 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014445289710 0.930950253717 2 10 11 8 0132 0132 0132 0213 2 2 2 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 0 0 0 0 0 0 0 0 -11 1 10 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536214346915 0.506505501009 3 12 8 10 0132 0132 0213 3012 2 2 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 0 0 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.151357472468 0.948329622897 4 7 11 6 0132 0213 1023 0213 2 2 2 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 10 -10 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 0.536214346915 0.506505501009 5 10 12 12 0132 1023 3120 2310 1 1 1 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 0 0 0 0 0 0 0 0 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 0.841144044550 0.746606247375 9 6 7 11 1023 0132 1230 1230 2 1 1 2 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497793107201 0.780646336838 10 12 8 6 3012 0321 1023 0132 2 2 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 1 -1 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164959040152 0.555704414463 9 7 9 11 3201 0132 3120 0321 2 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 -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 0.424941959347 0.162628516759 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_1']), 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_12'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_1001_10']), 's_3_1' : d['1'], 's_3_0' : 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_8'], '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' : negation(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_0']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : negation(d['c_0011_0'])})} 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_11, c_0011_12, c_0011_4, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_0, c_1001_1, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 153/448*c_1001_2^8 - 859/256*c_1001_2^7 + 1581/112*c_1001_2^6 - 29411/896*c_1001_2^5 + 40487/896*c_1001_2^4 - 66117/1792*c_1001_2^3 + 2031/128*c_1001_2^2 - 97/32*c_1001_2 + 37/224, c_0011_0 - 1, c_0011_11 - 73/2*c_1001_2^8 + 3053/8*c_1001_2^7 - 1754*c_1001_2^6 + 18379/4*c_1001_2^5 - 29777/4*c_1001_2^4 + 59385/8*c_1001_2^3 - 17051/4*c_1001_2^2 + 2089/2*c_1001_2 - 54, c_0011_12 - 5/2*c_1001_2^8 + 209/8*c_1001_2^7 - 483/4*c_1001_2^6 + 1285/4*c_1001_2^5 - 2151/4*c_1001_2^4 + 4585/8*c_1001_2^3 - 761/2*c_1001_2^2 + 279/2*c_1001_2 - 29, c_0011_4 - 1, c_0101_1 - 1, c_0101_10 - 2*c_1001_2^8 + 31/2*c_1001_2^7 - 161/4*c_1001_2^6 - c_1001_2^5 + 483/2*c_1001_2^4 - 1239/2*c_1001_2^3 + 3015/4*c_1001_2^2 - 477*c_1001_2 + 106, c_0101_11 + 325/2*c_1001_2^8 - 14033/8*c_1001_2^7 + 33531/4*c_1001_2^6 - 92317/4*c_1001_2^5 + 159833/4*c_1001_2^4 - 351581/8*c_1001_2^3 + 29592*c_1001_2^2 - 10452*c_1001_2 + 1438, c_0101_3 + 1/2*c_1001_2^8 - 45/8*c_1001_2^7 + 113/4*c_1001_2^6 - 331/4*c_1001_2^5 + 621/4*c_1001_2^4 - 1529/8*c_1001_2^3 + 305/2*c_1001_2^2 - 147/2*c_1001_2 + 18, c_0101_8 + 1/2*c_1001_2^8 - 45/8*c_1001_2^7 + 113/4*c_1001_2^6 - 331/4*c_1001_2^5 + 621/4*c_1001_2^4 - 1529/8*c_1001_2^3 + 305/2*c_1001_2^2 - 147/2*c_1001_2 + 18, c_1001_0 - 1, c_1001_1 - c_1001_2 + 1, c_1001_10 + 69*c_1001_2^8 - 2977/4*c_1001_2^7 + 7107/2*c_1001_2^6 - 39093/4*c_1001_2^5 + 67601/4*c_1001_2^4 - 18559*c_1001_2^3 + 49885/4*c_1001_2^2 - 8779/2*c_1001_2 + 601, c_1001_2^9 - 45/4*c_1001_2^8 + 113/2*c_1001_2^7 - 331/2*c_1001_2^6 + 621/2*c_1001_2^5 - 1529/4*c_1001_2^4 + 305*c_1001_2^3 - 147*c_1001_2^2 + 38*c_1001_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB