Magma V2.19-8 Tue Aug 20 2013 23:56:57 on localhost [Seed = 4105346052] Type ? for help. Type -D to quit. Loading file "L14n25125__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25125 geometric_solution 11.32159716 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 -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 0.236238366092 0.726615182594 0 5 3 6 0132 0132 2103 0132 0 1 0 1 0 0 0 0 0 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 1 -1 1 -3 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910538152996 1.125344174726 7 0 9 8 0132 0132 0132 0132 1 1 0 1 0 -1 0 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 2 0 -2 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 1.011722187333 1.149666584835 1 10 9 0 2103 0132 0321 0132 1 1 0 1 0 -1 0 1 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 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 0.632891295347 1.294664603722 8 6 0 11 0132 1302 0132 0132 1 1 0 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 1 -1 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236238366092 0.726615182594 10 1 7 11 3201 0132 3120 3120 0 1 1 0 0 0 0 0 -1 0 0 1 1 -1 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 2 0 0 -2 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662604927121 1.071984762405 11 10 1 4 1023 1023 0132 2031 0 1 1 0 0 0 0 0 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 0 0 0 0 0 1 -1 2 -2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565474982635 0.537034275230 2 10 5 8 0132 3201 3120 3201 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 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 0 0 0 0 0 0 0.282666639844 0.444161811425 4 7 2 9 0132 2310 0132 2310 1 1 1 0 0 0 -1 1 0 0 1 -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 0 2 -2 0 0 -1 1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.011722187333 1.149666584835 8 11 3 2 3201 0321 0321 0132 1 1 1 1 0 0 0 0 0 0 1 -1 -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 -1 1 2 -2 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598260506474 0.506900874028 6 3 7 5 1023 0132 2310 2310 1 0 1 0 0 1 0 -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 -1 0 1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267140624078 0.848769592237 5 6 4 9 3120 1023 0132 0321 1 1 1 0 0 0 0 0 -1 0 0 1 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 2 0 0 -2 0 -2 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632891295347 1.294664603722 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0110_6'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : 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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1001_9'], 'c_1100_3' : d['c_1001_9'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : d['c_0011_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' : 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' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_0, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 366303/1546240*c_1001_9^8 - 114249/386560*c_1001_9^7 - 46957/773120*c_1001_9^6 - 215321/96640*c_1001_9^5 - 850439/1546240*c_1001_9^4 + 1247949/193280*c_1001_9^3 + 495517/386560*c_1001_9^2 + 2306883/386560*c_1001_9 + 3537671/773120, c_0011_0 - 1, c_0011_10 + 961/4832*c_1001_9^8 - 2741/4832*c_1001_9^7 + 2561/4832*c_1001_9^6 - 10479/4832*c_1001_9^5 + 3597/1208*c_1001_9^4 + 9409/2416*c_1001_9^3 - 14021/2416*c_1001_9^2 + 11845/2416*c_1001_9 - 6377/1208, c_0011_4 + 1, c_0011_9 + 117/2416*c_1001_9^8 - 307/2416*c_1001_9^7 + 281/2416*c_1001_9^6 - 1569/2416*c_1001_9^5 + 217/302*c_1001_9^4 + 995/1208*c_1001_9^3 - 225/1208*c_1001_9^2 + 1971/1208*c_1001_9 - 651/604, c_0101_0 - 573/4832*c_1001_9^8 + 613/4832*c_1001_9^7 + 219/4832*c_1001_9^6 + 5663/4832*c_1001_9^5 + 457/1208*c_1001_9^4 - 7529/2416*c_1001_9^3 - 3823/2416*c_1001_9^2 - 5541/2416*c_1001_9 - 2271/1208, c_0101_1 - 1, c_0101_10 - 25/1208*c_1001_9^8 - 319/1208*c_1001_9^7 + 593/1208*c_1001_9^6 + 41/1208*c_1001_9^5 + 466/151*c_1001_9^4 - 845/604*c_1001_9^3 - 4389/604*c_1001_9^2 - 607/604*c_1001_9 - 2153/302, c_0101_11 + 573/4832*c_1001_9^8 - 613/4832*c_1001_9^7 - 219/4832*c_1001_9^6 - 5663/4832*c_1001_9^5 - 457/1208*c_1001_9^4 + 7529/2416*c_1001_9^3 + 3823/2416*c_1001_9^2 + 7957/2416*c_1001_9 + 2271/1208, c_0101_2 + 55/2416*c_1001_9^8 - 325/2416*c_1001_9^7 + 447/2416*c_1001_9^6 - 815/2416*c_1001_9^5 + 577/604*c_1001_9^4 + 349/1208*c_1001_9^3 - 2847/1208*c_1001_9^2 + 2181/1208*c_1001_9 - 1847/604, c_0110_6 + 1, c_1001_0 - 573/4832*c_1001_9^8 + 613/4832*c_1001_9^7 + 219/4832*c_1001_9^6 + 5663/4832*c_1001_9^5 + 457/1208*c_1001_9^4 - 7529/2416*c_1001_9^3 - 3823/2416*c_1001_9^2 - 7957/2416*c_1001_9 - 2271/1208, c_1001_9^9 - 2*c_1001_9^8 + 2*c_1001_9^7 - 12*c_1001_9^6 + 7*c_1001_9^5 + 14*c_1001_9^4 - 4*c_1001_9^3 + 44*c_1001_9^2 - 6*c_1001_9 + 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB