Magma V2.19-8 Wed Aug 21 2013 00:56:54 on localhost [Seed = 391187916] Type ? for help. Type -D to quit. Loading file "L13n3100__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3100 geometric_solution 12.66854052 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 -1 1 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 7 -6 -1 0 0 1 -1 0 0 0 0 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447064716235 0.675430023111 0 5 7 6 0132 0132 0132 0132 0 0 1 0 0 1 -1 0 -1 0 0 1 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 -1 1 0 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 0.214419677256 0.875750713460 8 0 3 6 0132 0132 0321 2031 1 0 1 0 0 1 0 -1 -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 0 0 0 0 -7 0 7 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 0 0 0 0.431513855873 1.299539496296 9 10 2 0 0132 0132 0321 0132 1 0 1 0 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 -6 0 6 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 0.893519242832 0.532850235165 5 11 0 11 3201 0132 0132 0213 1 0 0 0 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 1 -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 0.280824756434 0.870502626705 8 1 10 4 1023 0132 1230 2310 0 0 0 1 0 -1 1 0 -1 0 0 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 1 -1 0 0 0 0 0 0 -1 0 1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204315430928 1.090135748743 10 2 1 8 2103 1302 0132 0132 0 0 1 1 0 -1 0 1 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 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392551059384 0.766364146860 12 9 12 1 0132 2103 3012 0132 0 0 0 1 0 0 -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 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 0.363020415180 1.138799802885 2 5 6 12 0132 1023 0132 3012 0 0 0 1 0 1 -1 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 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214419677256 0.875750713460 3 7 10 11 0132 2103 2103 2310 0 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 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 0.704154646106 1.089707933640 9 3 6 5 2103 0132 2103 3012 1 0 0 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 6 0 -6 -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 0.612347344815 0.591360072621 9 4 12 4 3201 0132 2031 0213 1 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 -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 0.280824756434 0.870502626705 7 7 8 11 0132 1230 1230 1302 0 0 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 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 0.374119933277 0.668856139858 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_8'], 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_5']), '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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_12']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0101_1']), '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'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0110_11']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_1001_12'])})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_11, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1237/100*c_1001_2^5 + 7891/150*c_1001_2^4 + 22501/150*c_1001_2^3 + 19109/150*c_1001_2^2 + 5001/25*c_1001_2 - 13667/300, c_0011_0 - 1, c_0011_10 - 21/25*c_1001_2^5 - 87/25*c_1001_2^4 - 247/25*c_1001_2^3 - 193/25*c_1001_2^2 - 322/25*c_1001_2 + 97/25, c_0011_11 - 394/25*c_1001_2^5 - 1653/25*c_1001_2^4 - 4658/25*c_1001_2^3 - 3672/25*c_1001_2^2 - 5848/25*c_1001_2 + 2018/25, c_0011_6 - 4/25*c_1001_2^5 - 13/25*c_1001_2^4 - 28/25*c_1001_2^3 - 7/25*c_1001_2^2 - 3/25*c_1001_2 + 3/25, c_0101_0 - 3/25*c_1001_2^5 - 16/25*c_1001_2^4 - 46/25*c_1001_2^3 - 49/25*c_1001_2^2 - 46/25*c_1001_2 - 4/25, c_0101_1 - 1, c_0101_11 - 94/25*c_1001_2^5 - 388/25*c_1001_2^4 - 1083/25*c_1001_2^3 - 792/25*c_1001_2^2 - 1313/25*c_1001_2 + 603/25, c_0101_5 + 12/25*c_1001_2^5 + 49/25*c_1001_2^4 + 134/25*c_1001_2^3 + 91/25*c_1001_2^2 + 174/25*c_1001_2 - 69/25, c_0101_7 - 4/5*c_1001_2^5 - 17/5*c_1001_2^4 - 48/5*c_1001_2^3 - 8*c_1001_2^2 - 59/5*c_1001_2 + 17/5, c_0101_8 - 12/25*c_1001_2^5 - 49/25*c_1001_2^4 - 134/25*c_1001_2^3 - 91/25*c_1001_2^2 - 149/25*c_1001_2 + 69/25, c_0110_11 + 309/25*c_1001_2^5 + 1293/25*c_1001_2^4 + 3638/25*c_1001_2^3 + 2837/25*c_1001_2^2 + 4543/25*c_1001_2 - 1633/25, c_1001_12 - 191/25*c_1001_2^5 - 797/25*c_1001_2^4 - 2237/25*c_1001_2^3 - 1718/25*c_1001_2^2 - 2767/25*c_1001_2 + 1032/25, c_1001_2^6 + 4*c_1001_2^5 + 11*c_1001_2^4 + 7*c_1001_2^3 + 13*c_1001_2^2 - 8*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB