Magma V2.19-8 Tue Aug 20 2013 23:56:39 on localhost [Seed = 2716322221] Type ? for help. Type -D to quit. Loading file "L14n24238__sl2_c2.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' : negation(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' : 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' : 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_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' : 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' : negation(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' : d['1'], 's_1_4' : 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' : 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: 8 Groebner basis: [ t - 31417377/676588*c_1001_10^7 + 133405627/676588*c_1001_10^6 + 249059395/676588*c_1001_10^5 - 777525939/676588*c_1001_10^4 - 1481314221/676588*c_1001_10^3 - 335568809/338294*c_1001_10^2 - 259741843/338294*c_1001_10 - 423668213/676588, c_0011_0 - 1, c_0011_10 - 957/15377*c_1001_10^7 + 2952/15377*c_1001_10^6 + 12760/15377*c_1001_10^5 - 16776/15377*c_1001_10^4 - 76392/15377*c_1001_10^3 - 62112/15377*c_1001_10^2 - 26681/15377*c_1001_10 - 12864/15377, c_0011_11 - 1090/15377*c_1001_10^7 + 5194/15377*c_1001_10^6 + 4282/15377*c_1001_10^5 - 20891/15377*c_1001_10^4 - 37648/15377*c_1001_10^3 - 39026/15377*c_1001_10^2 - 25890/15377*c_1001_10 - 7132/15377, c_0011_2 + 1, c_0011_5 - 233/15377*c_1001_10^7 + 1731/15377*c_1001_10^6 - 2019/15377*c_1001_10^5 - 8712/15377*c_1001_10^4 + 15963/15377*c_1001_10^3 + 4834/15377*c_1001_10^2 - 26131/15377*c_1001_10 + 1833/15377, c_0011_8 + 957/15377*c_1001_10^7 - 2952/15377*c_1001_10^6 - 12760/15377*c_1001_10^5 + 16776/15377*c_1001_10^4 + 76392/15377*c_1001_10^3 + 62112/15377*c_1001_10^2 + 26681/15377*c_1001_10 - 2513/15377, c_0101_2 - 957/15377*c_1001_10^7 + 2952/15377*c_1001_10^6 + 12760/15377*c_1001_10^5 - 16776/15377*c_1001_10^4 - 76392/15377*c_1001_10^3 - 62112/15377*c_1001_10^2 - 11304/15377*c_1001_10 - 12864/15377, c_0101_4 - 1, c_0101_5 + 876/15377*c_1001_10^7 - 5980/15377*c_1001_10^6 + 3697/15377*c_1001_10^5 + 34734/15377*c_1001_10^4 - 20022/15377*c_1001_10^3 - 67077/15377*c_1001_10^2 + 15023/15377*c_1001_10 + 1556/15377, c_0101_9 + 957/15377*c_1001_10^7 - 2952/15377*c_1001_10^6 - 12760/15377*c_1001_10^5 + 16776/15377*c_1001_10^4 + 76392/15377*c_1001_10^3 + 62112/15377*c_1001_10^2 + 11304/15377*c_1001_10 + 12864/15377, c_0110_9 + 957/15377*c_1001_10^7 - 2952/15377*c_1001_10^6 - 12760/15377*c_1001_10^5 + 16776/15377*c_1001_10^4 + 76392/15377*c_1001_10^3 + 62112/15377*c_1001_10^2 + 26681/15377*c_1001_10 + 12864/15377, c_1001_10^8 - 5*c_1001_10^7 - 4*c_1001_10^6 + 27*c_1001_10^5 + 26*c_1001_10^4 + 6*c_1001_10^3 + 17*c_1001_10^2 + 2*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB