Magma V2.19-8 Wed Aug 21 2013 00:52:09 on localhost [Seed = 3954048694] Type ? for help. Type -D to quit. Loading file "L11n78__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n78 geometric_solution 11.47162836 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 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 0 0 0 0 0 1 -1 5 0 -5 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 0.213848622243 1.272019649514 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 1 0 -1 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 -6 0 6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 8 0 7 9 0132 0132 3012 0132 1 1 1 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351577584254 0.568864481006 8 9 10 0 2031 2031 0132 0132 1 1 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 1 0 -1 -6 0 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 0.500000000000 8 11 0 10 3012 0132 0132 0132 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 -1 1 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213848622243 1.272019649514 8 1 6 11 1023 0132 2103 3120 1 1 0 1 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 6 -5 -1 6 0 -6 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 -0.500000000000 1.322875655532 5 12 1 12 2103 0132 0132 3012 1 1 1 1 0 -1 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 0 0 0 0 6 -6 0 6 0 0 -6 5 -5 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 11 2 12 1 3120 1230 1302 0132 1 1 0 1 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 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 0 0.250000000000 0.661437827766 2 5 3 4 0132 1023 1302 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 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 0.871467067939 0.764542756818 3 10 2 10 1302 2031 0132 0321 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.272019649514 0.786151377757 9 9 4 3 1302 0321 0132 0132 1 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 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 -0.393075688879 1.136009824757 5 4 12 7 3120 0132 2031 3120 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 0 0 0 0 0 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 1.250000000000 0.661437827766 7 6 6 11 2031 0132 1230 1302 1 1 1 1 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 -6 6 0 0 0 0 0 0 -1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0110_12'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0011_10'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_9']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_12']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0110_12']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(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' : d['c_0011_9'], '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_7'], 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2816/15*c_1100_0^3 - 1280/3*c_1100_0^2 - 1280/3*c_1100_0 - 2048/15, c_0011_0 - 1, c_0011_10 - 2*c_1100_0^2 - 2*c_1100_0 - 1, c_0011_11 + 8*c_1100_0^3 + 20*c_1100_0^2 + 20*c_1100_0 + 7, c_0011_12 - 1/2, c_0011_3 + c_1100_0, c_0011_7 - 1, c_0011_9 - 4*c_1100_0^3 - 8*c_1100_0^2 - 7*c_1100_0 - 2, c_0101_0 - 1, c_0101_1 + 8*c_1100_0^3 + 20*c_1100_0^2 + 20*c_1100_0 + 7, c_0101_11 + 12*c_1100_0^3 + 30*c_1100_0^2 + 30*c_1100_0 + 21/2, c_0101_12 - 4*c_1100_0^3 - 10*c_1100_0^2 - 10*c_1100_0 - 7/2, c_0110_12 + 1, c_1100_0^4 + 3*c_1100_0^3 + 4*c_1100_0^2 + 5/2*c_1100_0 + 5/8 ], 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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 24*c_0101_12*c_1100_0^3 + 80*c_0101_12*c_1100_0^2 - 100*c_0101_12*c_1100_0 + 52*c_0101_12 - 132/5*c_1100_0^3 + 60*c_1100_0^2 - 60*c_1100_0 + 96/5, c_0011_0 - 1, c_0011_10 - 2*c_1100_0^2 + 2*c_1100_0 - 1, c_0011_11 + 8*c_1100_0^3 - 20*c_1100_0^2 + 20*c_1100_0 - 7, c_0011_12 + 8*c_0101_12*c_1100_0^3 - 20*c_0101_12*c_1100_0^2 + 20*c_0101_12*c_1100_0 - 7*c_0101_12 + 1, c_0011_3 + c_1100_0, c_0011_7 + 1, c_0011_9 - 4*c_1100_0^3 + 8*c_1100_0^2 - 7*c_1100_0 + 2, c_0101_0 - 1, c_0101_1 - 8*c_1100_0^3 + 20*c_1100_0^2 - 20*c_1100_0 + 7, c_0101_11 - c_0101_12 + 16*c_1100_0^3 - 40*c_1100_0^2 + 40*c_1100_0 - 14, c_0101_12^2 - 12*c_0101_12*c_1100_0^3 + 30*c_0101_12*c_1100_0^2 - 30*c_0101_12*c_1100_0 + 21/2*c_0101_12 - 1, c_0110_12 + 1, c_1100_0^4 - 3*c_1100_0^3 + 4*c_1100_0^2 - 5/2*c_1100_0 + 5/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB