Magma V2.19-8 Wed Aug 21 2013 00:52:10 on localhost [Seed = 593835644] Type ? for help. Type -D to quit. Loading file "L11n83__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n83 geometric_solution 11.47162836 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3120 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 -1 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 -0.393075688879 1.136009824757 0 0 4 3 0132 3120 0132 3201 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 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 -0.393075688879 1.136009824757 5 6 7 0 0132 0132 0132 0132 1 1 1 0 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 6 0 -7 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 0.213848622243 1.272019649514 5 1 0 7 2103 2310 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 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 -0.000000000000 0.500000000000 7 8 5 1 1302 0132 3012 0132 1 1 1 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 1 -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 0.213848622243 1.272019649514 2 4 3 9 0132 1230 2103 0132 1 1 0 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 0 1 -6 0 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351577584254 0.568864481006 8 2 10 9 3120 0132 0132 2031 1 1 0 1 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 1 -1 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 0.250000000000 0.661437827766 11 4 3 2 0132 2031 0132 0132 1 1 0 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 0 0 0 -7 0 0 7 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 11 4 10 6 1230 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.250000000000 0.661437827766 11 6 5 12 2103 1302 0132 0132 1 1 1 0 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 1 -1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 12 8 12 6 0213 3201 2310 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 -1 1 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 0.750000000000 0.661437827766 7 8 9 12 0132 3012 2103 2103 1 1 1 0 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.250000000000 0.661437827766 10 10 9 11 0213 3201 0132 2103 1 1 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 0 0 -1 0 -6 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_1001_0'], '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_0011_12'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0011_2'], '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' : negation(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' : negation(d['c_0101_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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_11']})} 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_2, c_0011_3, c_0011_4, c_0101_0, c_0101_11, c_0101_7, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4/5*c_1100_0^3 - 8/5*c_1100_0^2 - 176/15*c_1100_0 - 172/15, c_0011_0 - 1, c_0011_10 - 2*c_1100_0^3 - 5*c_1100_0^2 - 4*c_1100_0 - 3, c_0011_11 + 4*c_1100_0^3 + 10*c_1100_0^2 + 10*c_1100_0 + 7, c_0011_12 - 4*c_1100_0^3 - 9*c_1100_0^2 - 8*c_1100_0 - 6, c_0011_2 - 1, c_0011_3 + c_1100_0, c_0011_4 + 4*c_1100_0^3 + 10*c_1100_0^2 + 10*c_1100_0 + 7, c_0101_0 - 2*c_1100_0^3 - 4*c_1100_0^2 - 3*c_1100_0 - 2, c_0101_11 + 1, c_0101_7 - 4*c_1100_0^3 - 10*c_1100_0^2 - 8*c_1100_0 - 6, c_0101_8 + 12*c_1100_0^3 + 27*c_1100_0^2 + 24*c_1100_0 + 18, c_1001_0 + 4*c_1100_0^3 + 10*c_1100_0^2 + 8*c_1100_0 + 6, c_1100_0^4 + 4*c_1100_0^3 + 6*c_1100_0^2 + 5*c_1100_0 + 5/2 ], 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_2, c_0011_3, c_0011_4, c_0101_0, c_0101_11, c_0101_7, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1/2*c_0101_8*c_1100_0^3 + 35/8*c_0101_8*c_1100_0^2 - 165/16*c_0101_8*c_1100_0 + 59/8*c_0101_8 - 51/80*c_1100_0^3 - 51/40*c_1100_0^2 + 187/20*c_1100_0 - 731/80, c_0011_0 - 1, c_0011_10 + 4*c_0101_8*c_1100_0^3 - 10*c_0101_8*c_1100_0^2 + 10*c_0101_8*c_1100_0 - 7*c_0101_8 + 4*c_1100_0^3 - 10*c_1100_0^2 + 8*c_1100_0 - 6, c_0011_11 + 4*c_1100_0^3 - 10*c_1100_0^2 + 10*c_1100_0 - 7, c_0011_12 - c_0101_8 - 16*c_1100_0^3 + 36*c_1100_0^2 - 32*c_1100_0 + 24, c_0011_2 - 1, c_0011_3 + c_1100_0, c_0011_4 - 4*c_1100_0^3 + 10*c_1100_0^2 - 10*c_1100_0 + 7, c_0101_0 - 2*c_1100_0^3 + 4*c_1100_0^2 - 3*c_1100_0 + 2, c_0101_11 - 1, c_0101_7 + 4*c_1100_0^3 - 10*c_1100_0^2 + 8*c_1100_0 - 6, c_0101_8^2 + 20*c_0101_8*c_1100_0^3 - 45*c_0101_8*c_1100_0^2 + 40*c_0101_8*c_1100_0 - 30*c_0101_8 + 32*c_1100_0^3 - 80*c_1100_0^2 + 72*c_1100_0 - 52, c_1001_0 - 4*c_1100_0^3 + 10*c_1100_0^2 - 8*c_1100_0 + 6, c_1100_0^4 - 4*c_1100_0^3 + 6*c_1100_0^2 - 5*c_1100_0 + 5/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB