Magma V2.19-8 Tue Aug 20 2013 23:56:39 on localhost [Seed = 2749746095] Type ? for help. Type -D to quit. Loading file "L14n24238__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24238 geometric_solution 10.93864342 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 0321 0132 0132 0 1 1 1 0 1 0 -1 0 0 0 0 1 -1 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 1 0 7 -7 0 0 7 1 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598606890356 0.631733103734 0 4 5 0 0132 0132 0132 0321 0 1 1 1 0 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 -7 0 0 7 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716513491197 1.127685754405 3 4 6 0 1230 1230 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082551831070 1.251842553379 7 2 0 8 0132 3012 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719130968561 0.508779255748 7 1 2 9 1023 0132 3012 0132 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 -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 0.604767919832 0.457038935425 8 6 7 1 0321 2031 0321 0132 0 1 1 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 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 0.741149505234 0.635462931750 5 10 11 2 1302 0132 0132 0132 0 1 0 1 0 0 0 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 -1 0 1 0 0 1 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304794284621 0.874757953992 3 4 5 8 0132 1023 0321 0321 0 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 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.080011560891 0.984120826528 5 7 3 9 0321 0321 0132 1230 0 1 1 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 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.394412961102 0.890317700953 8 10 4 11 3012 3012 0132 3012 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556827212381 0.700640144714 9 6 11 11 1230 0132 0213 3120 0 1 1 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 1 0 -1 0 0 1 -1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319278002959 0.454168771950 10 10 9 6 3120 0213 1230 0132 0 1 1 0 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 1 0 0 -1 8 -1 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319278002959 0.454168771950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : d['c_0110_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0011_2']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : d['c_0110_9'], 's_3_1' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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_5']), '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_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), '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_2, c_0011_5, c_0011_8, c_0101_2, c_0101_4, c_0101_5, c_0101_9, c_0110_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1827/85*c_1001_10^5 + 728/17*c_1001_10^4 + 2077/85*c_1001_10^3 + 199/5*c_1001_10^2 + 8336/85*c_1001_10 + 2084/85, c_0011_0 - 1, c_0011_10 - 1/17*c_1001_10^5 - 4/17*c_1001_10^4 + 11/17*c_1001_10^3 + c_1001_10^2 + 22/17*c_1001_10 + 14/17, c_0011_11 + 2/17*c_1001_10^5 - 9/17*c_1001_10^4 + 12/17*c_1001_10^3 - 10/17*c_1001_10 + 6/17, c_0011_2 - 1, c_0011_5 + 2/17*c_1001_10^5 - 9/17*c_1001_10^4 + 12/17*c_1001_10^3 - 27/17*c_1001_10 + 6/17, c_0011_8 - 1/17*c_1001_10^5 - 4/17*c_1001_10^4 + 11/17*c_1001_10^3 + c_1001_10^2 + 22/17*c_1001_10 - 3/17, c_0101_2 + 1/17*c_1001_10^5 + 4/17*c_1001_10^4 - 11/17*c_1001_10^3 - c_1001_10^2 - 5/17*c_1001_10 - 14/17, c_0101_4 - 1, c_0101_5 + 5/17*c_1001_10^5 - 14/17*c_1001_10^4 - 4/17*c_1001_10^3 + c_1001_10^2 - 25/17*c_1001_10 - 2/17, c_0101_9 - 1/17*c_1001_10^5 - 4/17*c_1001_10^4 + 11/17*c_1001_10^3 + c_1001_10^2 + 5/17*c_1001_10 + 14/17, c_0110_9 + 1/17*c_1001_10^5 + 4/17*c_1001_10^4 - 11/17*c_1001_10^3 - c_1001_10^2 - 22/17*c_1001_10 - 14/17, c_1001_10^6 - 2*c_1001_10^5 - c_1001_10^4 - 2*c_1001_10^3 - 5*c_1001_10^2 - c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB