Magma V2.19-8 Tue Aug 20 2013 23:55:12 on localhost [Seed = 1511797256] Type ? for help. Type -D to quit. Loading file "L13n9865__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9865 geometric_solution 11.56469352 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 1 2 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 -1 0 1 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627022875631 0.979549270927 0 4 5 5 0132 0132 2103 0132 1 2 1 1 0 0 0 0 0 0 -1 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 1 -1 0 1 0 2 -3 0 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627022875631 0.979549270927 6 0 8 7 0132 0132 0132 0132 1 0 1 1 0 0 1 -1 -1 0 2 -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 -3 2 1 0 -3 2 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350632637657 0.436479818755 0 9 5 0 3120 0132 0132 0132 1 2 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 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 0.339493334874 0.891610844026 7 1 10 8 3120 0132 0132 3120 1 0 1 1 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 -1 0 1 -2 0 0 2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701265275313 0.872959637511 1 11 1 3 2103 0132 0132 0132 1 2 1 1 0 0 0 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 -2 0 3 -1 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536456927494 0.724157437254 2 7 10 8 0132 3120 2103 0132 1 0 1 1 0 0 1 -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 -3 3 -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 0.881404292559 1.392467212714 10 6 2 4 2103 3120 0132 3120 1 0 1 1 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 -2 2 0 0 -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 0.881404292559 1.392467212714 4 9 6 2 3120 2031 0132 0132 1 0 1 1 0 0 1 -1 1 0 1 -2 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 -3 3 -2 0 -1 3 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350915524778 1.025441851893 8 3 11 11 1302 0132 1302 3012 1 1 1 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 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339493334874 0.891610844026 6 11 7 4 2103 0321 2103 0132 1 0 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 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060723959545 0.712977935850 9 5 9 10 2031 0132 1230 0321 1 1 1 1 0 0 0 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627022875631 0.979549270927 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 's_2_0' : negation(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' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 7/16*c_1001_4 - 5/8, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/2*c_1001_4 - 1/2, c_0011_3 + 1/2*c_1001_4 - 3/2, c_0011_7 - 1/2*c_1001_4 - 1/2, c_0101_0 - 1, c_0101_10 + c_1001_4, c_0101_11 + 1/4*c_1001_4 + 1/4, c_0101_2 - 1, c_0101_3 - 1/2*c_1001_4 + 1/2, c_0101_4 + c_1001_4, c_1001_4^2 - c_1001_4 + 2 ], 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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 41711/30816*c_1001_4^6 + 311227/30816*c_1001_4^5 + 2131/96*c_1001_4^4 + 34255/1926*c_1001_4^3 + 176831/15408*c_1001_4^2 + 110095/3424*c_1001_4 - 73135/15408, c_0011_0 - 1, c_0011_10 - 13/1284*c_1001_4^6 - 21/214*c_1001_4^5 - 1/4*c_1001_4^4 + 91/1284*c_1001_4^3 + 683/1284*c_1001_4^2 - 277/321*c_1001_4 + 22/107, c_0011_11 - 13/1284*c_1001_4^6 - 21/214*c_1001_4^5 - 1/4*c_1001_4^4 + 91/1284*c_1001_4^3 + 683/1284*c_1001_4^2 - 277/321*c_1001_4 + 22/107, c_0011_3 + c_1001_4, c_0011_7 + 1, c_0101_0 - 1, c_0101_10 - 265/2568*c_1001_4^6 - 601/856*c_1001_4^5 - 9/8*c_1001_4^4 + 125/1284*c_1001_4^3 + 52/321*c_1001_4^2 - 7351/2568*c_1001_4 + 971/428, c_0101_11 + 21/1712*c_1001_4^6 + 113/1712*c_1001_4^5 - 1/16*c_1001_4^4 - 56/107*c_1001_4^3 - 29/856*c_1001_4^2 + 761/1712*c_1001_4 - 419/856, c_0101_2 - 1, c_0101_3 + 13/1284*c_1001_4^6 + 21/214*c_1001_4^5 + 1/4*c_1001_4^4 - 91/1284*c_1001_4^3 - 683/1284*c_1001_4^2 - 44/321*c_1001_4 - 22/107, c_0101_4 + 239/2568*c_1001_4^6 + 517/856*c_1001_4^5 + 7/8*c_1001_4^4 - 17/642*c_1001_4^3 + 475/1284*c_1001_4^2 + 5135/2568*c_1001_4 - 883/428, c_1001_4^7 + 6*c_1001_4^6 + 6*c_1001_4^5 - 7*c_1001_4^4 - 2*c_1001_4^3 + 19*c_1001_4^2 - 33*c_1001_4 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB