Magma V2.19-8 Wed Aug 21 2013 01:11:59 on localhost [Seed = 2664988863] Type ? for help. Type -D to quit. Loading file "L14n58455__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58455 geometric_solution 11.91255991 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 2 2 0 2 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 -1 1 0 0 0 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 0.737876551018 1.443982359906 0 4 5 0 0132 0132 0132 1302 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.719390225681 0.549137336827 3 0 5 6 0213 0132 3012 0132 2 2 2 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 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 0.556376837044 0.507248198815 2 4 0 7 0213 1302 0132 0132 2 2 2 0 0 1 0 -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 -1 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 0.121703133357 0.670436690789 5 1 8 3 0321 0132 0132 2031 2 2 0 2 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 1 -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 0.719390225681 0.549137336827 4 2 6 1 0321 1230 3012 0132 2 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 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 0.976923516563 1.117035212623 9 5 2 10 0132 1230 0132 0132 2 2 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 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 -0.162621478221 1.756605253712 9 11 3 8 3201 0132 0132 2031 2 2 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 0 0 0 0 0 1 -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 0.719390225681 0.549137336827 10 7 12 4 1302 1302 0132 0132 2 2 2 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 1 -1 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 0.121703133357 0.670436690789 6 10 11 7 0132 2310 3120 2310 1 2 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 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 0.556376837044 0.507248198815 12 8 6 9 1023 2031 0132 3201 2 2 1 2 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 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 0.556376837044 0.507248198815 12 7 9 12 0132 0132 3120 1302 2 2 2 1 0 1 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 0 0 0 0 0 0 0 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 0.719390225681 0.549137336827 11 10 11 8 0132 1023 2031 0132 2 2 1 2 0 0 0 0 -1 0 1 0 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 0 -1 1 0 0 0 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 0.737876551018 1.443982359906 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0011_8'], '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_1001_7']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_1001_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : negation(d['c_1001_7']), '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_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0110_10'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_4, c_0101_6, c_0110_10, c_1001_4, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 582849757469/10370014568*c_1001_7^5 + 4657737649235/10370014568*c_1001_7^4 + 14517750496429/10370014568*c_1001_7^3 + 58542771419641/10370014568*c_1001_7^2 + 91536205528057/10370014568*c_1001_7 + 3022727144281/280270664, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 334103/70067666*c_1001_7^5 - 2643173/70067666*c_1001_7^4 + 2623897/70067666*c_1001_7^3 - 18923363/70067666*c_1001_7^2 + 43734295/70067666*c_1001_7 + 40659275/70067666, c_0011_5 - 334103/70067666*c_1001_7^5 - 2643173/70067666*c_1001_7^4 + 2623897/70067666*c_1001_7^3 - 18923363/70067666*c_1001_7^2 + 43734295/70067666*c_1001_7 + 40659275/70067666, c_0011_6 - 3317433/70067666*c_1001_7^5 - 2270629/70067666*c_1001_7^4 - 30348113/70067666*c_1001_7^3 - 25286221/70067666*c_1001_7^2 - 9728491/70067666*c_1001_7 + 29324643/70067666, c_0011_8 - 912905/70067666*c_1001_7^5 - 6451505/70067666*c_1001_7^4 - 19871585/70067666*c_1001_7^3 - 58401999/70067666*c_1001_7^2 - 90590115/70067666*c_1001_7 + 60499007/70067666, c_0101_0 - 1, c_0101_10 + 1234989/70067666*c_1001_7^5 + 3481263/70067666*c_1001_7^4 + 14767153/70067666*c_1001_7^3 + 23688321/70067666*c_1001_7^2 + 53225173/70067666*c_1001_7 + 4741607/70067666, c_0101_4 + 1722896/35033833*c_1001_7^5 + 2829958/35033833*c_1001_7^4 + 22074035/35033833*c_1001_7^3 + 31191189/35033833*c_1001_7^2 + 30269667/35033833*c_1001_7 - 898575/35033833, c_0101_6 - 1722896/35033833*c_1001_7^5 - 2829958/35033833*c_1001_7^4 - 22074035/35033833*c_1001_7^3 - 31191189/35033833*c_1001_7^2 - 30269667/35033833*c_1001_7 + 898575/35033833, c_0110_10 - 912905/70067666*c_1001_7^5 - 6451505/70067666*c_1001_7^4 - 19871585/70067666*c_1001_7^3 - 58401999/70067666*c_1001_7^2 - 90590115/70067666*c_1001_7 + 60499007/70067666, c_1001_4 - 334103/70067666*c_1001_7^5 - 2643173/70067666*c_1001_7^4 + 2623897/70067666*c_1001_7^3 - 18923363/70067666*c_1001_7^2 + 43734295/70067666*c_1001_7 - 29408391/70067666, c_1001_7^6 + 12/7*c_1001_7^5 + 88/7*c_1001_7^4 + 122/7*c_1001_7^3 + 174/7*c_1001_7^2 - 74/7*c_1001_7 - 37/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB