Magma V2.19-8 Wed Aug 21 2013 00:58:02 on localhost [Seed = 391187899] Type ? for help. Type -D to quit. Loading file "L13n4664__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4664 geometric_solution 11.95496427 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 1 1 0 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 -3 -1 4 0 0 0 0 1 0 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226127099268 1.416897872042 0 0 5 4 0132 1230 0132 0132 1 1 0 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 -2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296903580029 0.543606127501 4 0 6 4 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 3 -3 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 0.539587147929 0.793576404025 7 8 0 6 0132 0132 0132 2310 1 1 1 1 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 0 0 0 0 0 4 -4 0 1 0 0 -1 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225596536625 1.155343268805 2 2 1 9 0132 1302 0132 0132 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 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 0.414076752152 0.861723385827 8 6 10 1 3120 3120 0132 0132 1 1 1 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 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 0.228172817751 0.976474185723 3 5 11 2 3201 3120 0132 0132 1 1 1 1 0 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 -3 3 0 0 0 0 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196481915637 0.474524618843 3 11 9 12 0132 1230 0213 0132 1 1 1 1 0 0 1 -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 0 -3 3 -1 0 0 1 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802122092458 0.745583365699 12 3 9 5 0132 0132 3201 3120 1 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 -4 4 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895535920278 0.744580492851 8 7 4 10 2310 0213 0132 0132 1 1 1 1 0 -1 0 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 3 0 -3 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278099229300 0.694757360920 11 12 9 5 0213 2103 0132 0132 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 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 0.028465758594 2.250108311359 10 12 7 6 0213 0321 3012 0132 1 1 1 1 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 -3 0 3 0 0 0 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409343364298 1.743546555869 8 10 7 11 0132 2103 0132 0321 1 1 1 1 0 0 1 -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 0 -3 3 0 0 -1 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718193316290 0.429610967997 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : 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_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_12' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_5']), 'c_1100_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : 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'], 'c_1100_12' : d['c_0011_12'], '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' : negation(d['1']), 's_1_0' : 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_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_1001_5, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1633190/208523*c_1100_1^8 - 3966770/208523*c_1100_1^7 - 9313102/208523*c_1100_1^6 + 1008893/29789*c_1100_1^5 + 46626112/208523*c_1100_1^4 + 120965997/208523*c_1100_1^3 + 154582509/208523*c_1100_1^2 + 101306525/208523*c_1100_1 + 4760785/208523, c_0011_0 - 1, c_0011_10 + 16819/29789*c_1100_1^8 + 50846/29789*c_1100_1^7 + 153259/29789*c_1100_1^6 + 139255/29789*c_1100_1^5 + 25355/29789*c_1100_1^4 - 393036/29789*c_1100_1^3 - 615506/29789*c_1100_1^2 - 340166/29789*c_1100_1 + 82328/29789, c_0011_11 + 6660/29789*c_1100_1^8 + 18540/29789*c_1100_1^7 + 60762/29789*c_1100_1^6 + 53024/29789*c_1100_1^5 + 29815/29789*c_1100_1^4 - 147769/29789*c_1100_1^3 - 223107/29789*c_1100_1^2 - 169497/29789*c_1100_1 + 13881/29789, c_0011_12 + 5938/29789*c_1100_1^8 + 15725/29789*c_1100_1^7 + 50042/29789*c_1100_1^6 + 35879/29789*c_1100_1^5 + 10257/29789*c_1100_1^4 - 131848/29789*c_1100_1^3 - 182845/29789*c_1100_1^2 - 94523/29789*c_1100_1 + 9773/29789, c_0011_5 + 16360/29789*c_1100_1^8 + 55204/29789*c_1100_1^7 + 165093/29789*c_1100_1^6 + 182941/29789*c_1100_1^5 + 57316/29789*c_1100_1^4 - 400202/29789*c_1100_1^3 - 727055/29789*c_1100_1^2 - 535518/29789*c_1100_1 + 103069/29789, c_0011_6 + 6846/29789*c_1100_1^8 + 20668/29789*c_1100_1^7 + 62781/29789*c_1100_1^6 + 58101/29789*c_1100_1^5 + 11996/29789*c_1100_1^4 - 154016/29789*c_1100_1^3 - 248580/29789*c_1100_1^2 - 135505/29789*c_1100_1 + 50257/29789, c_0011_9 + 4035/29789*c_1100_1^8 + 14453/29789*c_1100_1^7 + 40436/29789*c_1100_1^6 + 45275/29789*c_1100_1^5 + 3102/29789*c_1100_1^4 - 107172/29789*c_1100_1^3 - 184081/29789*c_1100_1^2 - 110138/29789*c_1100_1 + 52087/29789, c_0101_0 - 3460/29789*c_1100_1^8 - 10437/29789*c_1100_1^7 - 33714/29789*c_1100_1^6 - 31662/29789*c_1100_1^5 - 10301/29789*c_1100_1^4 + 90903/29789*c_1100_1^3 + 154822/29789*c_1100_1^2 + 88057/29789*c_1100_1 - 28681/29789, c_0101_1 - 1, c_0101_2 - 16156/29789*c_1100_1^8 - 53831/29789*c_1100_1^7 - 157113/29789*c_1100_1^6 - 172568/29789*c_1100_1^5 - 38422/29789*c_1100_1^4 + 370288/29789*c_1100_1^3 + 697195/29789*c_1100_1^2 + 446917/29789*c_1100_1 - 89118/29789, c_1001_5 + 3849/29789*c_1100_1^8 + 12325/29789*c_1100_1^7 + 38417/29789*c_1100_1^6 + 40198/29789*c_1100_1^5 + 20921/29789*c_1100_1^4 - 100925/29789*c_1100_1^3 - 158608/29789*c_1100_1^2 - 144130/29789*c_1100_1 + 45500/29789, c_1001_7 - 9310/29789*c_1100_1^8 - 33163/29789*c_1100_1^7 - 94332/29789*c_1100_1^6 - 114467/29789*c_1100_1^5 - 26426/29789*c_1100_1^4 + 216272/29789*c_1100_1^3 + 448615/29789*c_1100_1^2 + 311412/29789*c_1100_1 - 68650/29789, c_1100_1^9 + 3*c_1100_1^8 + 9*c_1100_1^7 + 8*c_1100_1^6 + c_1100_1^5 - 24*c_1100_1^4 - 36*c_1100_1^3 - 20*c_1100_1^2 + 10*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.800 Total time: 1.010 seconds, Total memory usage: 32.09MB