Magma V2.19-8 Tue Aug 20 2013 23:56:30 on localhost [Seed = 1999708002] Type ? for help. Type -D to quit. Loading file "L14n2346__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2346 geometric_solution 10.84792502 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 1 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 0 -1 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366719499039 1.103361446972 0 4 0 5 0132 0132 3012 0132 1 1 1 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 -1 1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728735631176 0.816162345557 4 6 7 0 2103 0132 0132 0132 1 1 1 1 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 -1 0 1 -7 0 7 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092435491835 0.703429867114 4 4 0 5 0132 1302 0132 1230 1 1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 6 0 0 -6 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366719499039 1.103361446972 3 1 2 3 0132 0132 2103 2031 1 1 0 1 0 0 0 0 1 0 -1 0 -1 2 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 -6 0 7 -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 0.391288106906 0.681739310090 3 6 1 7 3012 3012 0132 3012 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 6 -6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688337895684 0.533512968097 5 2 8 9 1230 0132 0132 0132 1 1 1 1 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 -1 0 6 0 0 -6 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909937295516 1.153935182553 8 10 5 2 0132 0132 1230 0132 1 1 1 1 0 0 0 0 -1 0 0 1 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 7 0 0 -7 -7 0 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909937295516 1.153935182553 7 10 11 6 0132 0321 0132 0132 1 1 1 1 0 0 0 0 1 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 -1 1 -7 0 7 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557620061729 0.234745118223 11 10 6 11 0132 0213 0132 0321 1 1 1 1 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 6 -6 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530360779919 0.585416163386 11 7 9 8 2103 0132 0213 0321 1 1 1 1 0 0 0 0 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 -7 0 0 7 1 -1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700796484852 1.084208786975 9 9 10 8 0132 0321 2103 0132 1 1 1 1 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 -1 1 0 0 7 -7 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.762871196768 1.202222490703 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : negation(d['c_0011_11']), '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_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0110_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_8'], 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_0011_10'], '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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0011_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_0110_5, c_1001_0, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 837124096/22707*c_1001_8^5 + 362881024/22707*c_1001_8^4 + 527568896/22707*c_1001_8^3 - 87179264/22707*c_1001_8^2 + 51233792/7569*c_1001_8 - 44033024/22707, c_0011_0 - 1, c_0011_10 - 32/3*c_1001_8^5 - 8/3*c_1001_8^4 - 16/3*c_1001_8^3 + 4/3*c_1001_8^2 - 2*c_1001_8 + 1/3, c_0011_11 + 16/3*c_1001_8^5 + 16/3*c_1001_8^4 + 20/3*c_1001_8^3 + 4/3*c_1001_8^2 + c_1001_8 + 1/3, c_0011_2 - 32/3*c_1001_8^5 - 32/3*c_1001_8^4 - 28/3*c_1001_8^3 - 8/3*c_1001_8^2 - c_1001_8 + 1/3, c_0011_5 - 32/3*c_1001_8^5 - 32/3*c_1001_8^4 - 28/3*c_1001_8^3 - 8/3*c_1001_8^2 - c_1001_8 - 2/3, c_0101_0 - 1, c_0101_1 - 1, c_0101_6 - 16*c_1001_8^5 - 8*c_1001_8^4 - 8*c_1001_8^3 + 2*c_1001_8^2 - c_1001_8 + 1/2, c_0110_5 - 32/3*c_1001_8^5 - 32/3*c_1001_8^4 - 28/3*c_1001_8^3 - 8/3*c_1001_8^2 - c_1001_8 + 1/3, c_1001_0 + 32/3*c_1001_8^5 + 32/3*c_1001_8^4 + 28/3*c_1001_8^3 + 8/3*c_1001_8^2 + c_1001_8 + 2/3, c_1001_10 + 16*c_1001_8^5 + 8*c_1001_8^4 + 8*c_1001_8^3 - 2*c_1001_8^2 + c_1001_8 - 1/2, c_1001_8^6 + 1/2*c_1001_8^5 + 3/4*c_1001_8^4 + 1/4*c_1001_8^2 - 1/32*c_1001_8 + 1/64 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_0110_5, c_1001_0, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 922066355942/254129525*c_1001_8^6 + 121017368493/254129525*c_1001_8^5 - 811128121373/101651810*c_1001_8^4 - 48793692036/254129525*c_1001_8^3 - 1861102398608/254129525*c_1001_8^2 - 14057765728549/4066072400*c_1001_8 - 1317845999619/625549600, c_0011_0 - 1, c_0011_10 - 46464/60149*c_1001_8^6 - 5216/60149*c_1001_8^5 - 73272/60149*c_1001_8^4 - 32880/60149*c_1001_8^3 - 37500/60149*c_1001_8^2 - 39586/60149*c_1001_8 + 5221/60149, c_0011_11 - 13440/60149*c_1001_8^6 + 22352/60149*c_1001_8^5 - 9264/60149*c_1001_8^4 + 24292/60149*c_1001_8^3 + 44828/60149*c_1001_8^2 - 8965/60149*c_1001_8 + 5487/60149, c_0011_2 + 43456/60149*c_1001_8^6 - 40192/60149*c_1001_8^5 + 126192/60149*c_1001_8^4 - 86564/60149*c_1001_8^3 + 103672/60149*c_1001_8^2 - 41187/60149*c_1001_8 - 35786/60149, c_0011_5 - 43456/60149*c_1001_8^6 + 40192/60149*c_1001_8^5 - 126192/60149*c_1001_8^4 + 86564/60149*c_1001_8^3 - 103672/60149*c_1001_8^2 + 41187/60149*c_1001_8 - 24363/60149, c_0101_0 - 1, c_0101_1 + 1, c_0101_6 - 15200/60149*c_1001_8^6 + 36736/60149*c_1001_8^5 - 44848/60149*c_1001_8^4 + 110536/60149*c_1001_8^3 - 49550/60149*c_1001_8^2 + 97986/60149*c_1001_8 - 239/60149, c_0110_5 + 43456/60149*c_1001_8^6 - 40192/60149*c_1001_8^5 + 126192/60149*c_1001_8^4 - 86564/60149*c_1001_8^3 + 103672/60149*c_1001_8^2 - 41187/60149*c_1001_8 - 35786/60149, c_1001_0 + 43456/60149*c_1001_8^6 - 40192/60149*c_1001_8^5 + 126192/60149*c_1001_8^4 - 86564/60149*c_1001_8^3 + 103672/60149*c_1001_8^2 - 41187/60149*c_1001_8 + 24363/60149, c_1001_10 + 15200/60149*c_1001_8^6 - 36736/60149*c_1001_8^5 + 44848/60149*c_1001_8^4 - 110536/60149*c_1001_8^3 + 49550/60149*c_1001_8^2 - 97986/60149*c_1001_8 + 239/60149, c_1001_8^7 - 1/2*c_1001_8^6 + 9/4*c_1001_8^5 - 3/4*c_1001_8^4 + 2*c_1001_8^3 + 7/32*c_1001_8^2 + 15/64*c_1001_8 - 13/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB