Magma V2.19-8 Wed Aug 21 2013 01:01:40 on localhost [Seed = 3296911135] Type ? for help. Type -D to quit. Loading file "L14n13161__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13161 geometric_solution 12.16956244 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 1 -1 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 -6 5 1 0 0 6 -6 1 0 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971078385843 0.782757095101 0 5 7 6 0132 0132 0132 0132 1 1 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 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375794048345 0.503153653284 4 0 9 8 0213 0132 0132 0132 1 1 1 1 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 6 0 -6 -1 0 0 1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453209983189 0.752543182029 10 11 11 0 0132 0132 1230 0132 1 1 1 1 0 -1 0 1 -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 5 0 -5 6 0 0 -6 0 5 0 -5 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652923543870 0.820998689020 2 9 0 5 0213 0132 0132 1302 1 1 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 0 0 0 0 0 0 0 0 0 -1 1 -6 0 6 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 0.397833920631 0.332988566364 7 1 4 9 0321 0132 2031 1230 1 1 1 1 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 0 0 0 0 0 0 -1 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.271773352206 0.703271073879 10 8 1 10 2103 1023 0132 3201 1 1 0 1 0 0 0 0 0 0 0 0 2 -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 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436848403965 1.033351472338 5 9 11 1 0321 1230 3201 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 5 0 -5 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 0.631907616845 0.869689925032 6 12 2 12 1023 0132 0132 1230 1 1 0 1 0 1 -1 0 0 0 0 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 -6 6 0 0 0 -1 1 -1 1 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406620866332 0.746126396278 5 4 7 2 3012 0132 3012 0132 1 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122817256026 1.788802822273 3 6 6 12 0132 2310 2103 3012 0 1 1 1 0 1 -2 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 -2 3 -1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436848403965 1.033351472338 7 3 12 3 2310 0132 0132 3012 1 1 1 1 0 1 0 -1 0 0 0 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 -5 0 5 0 0 0 0 5 -5 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436848403965 1.033351472338 8 8 10 11 3012 0132 1230 0132 1 1 1 0 0 -1 1 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 6 -6 0 0 0 0 0 -1 6 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652923543870 0.820998689020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_12']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_12'], '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_0101_3'], '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' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_12, c_0011_4, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_8, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 9527354/20169*c_1001_2^13 + 249325808/60507*c_1001_2^12 - 1024119731/60507*c_1001_2^11 + 310486130/6723*c_1001_2^10 - 5832884210/60507*c_1001_2^9 + 9745891834/60507*c_1001_2^8 - 4430600654/20169*c_1001_2^7 + 15058725368/60507*c_1001_2^6 - 14176474391/60507*c_1001_2^5 + 10982815753/60507*c_1001_2^4 - 6910640654/60507*c_1001_2^3 + 40792774/729*c_1001_2^2 - 1201041427/60507*c_1001_2 + 9364184/2241, c_0011_0 - 1, c_0011_10 - 612/83*c_1001_2^13 + 3810/83*c_1001_2^12 - 13118/83*c_1001_2^11 + 33027/83*c_1001_2^10 - 64600/83*c_1001_2^9 + 102773/83*c_1001_2^8 - 135766/83*c_1001_2^7 + 149585/83*c_1001_2^6 - 138452/83*c_1001_2^5 + 106085/83*c_1001_2^4 - 66471/83*c_1001_2^3 + 32977/83*c_1001_2^2 - 11775/83*c_1001_2 + 2867/83, c_0011_12 + 1, c_0011_4 - 98/83*c_1001_2^13 + 2228/249*c_1001_2^12 - 8027/249*c_1001_2^11 + 6778/83*c_1001_2^10 - 40268/249*c_1001_2^9 + 63463/249*c_1001_2^8 - 27466/83*c_1001_2^7 + 88694/249*c_1001_2^6 - 78350/249*c_1001_2^5 + 56728/249*c_1001_2^4 - 32543/249*c_1001_2^3 + 14198/249*c_1001_2^2 - 4360/249*c_1001_2 + 243/83, c_0101_0 - 422/83*c_1001_2^13 + 9032/249*c_1001_2^12 - 33767/249*c_1001_2^11 + 29720/83*c_1001_2^10 - 181775/249*c_1001_2^9 + 298411/249*c_1001_2^8 - 134486/83*c_1001_2^7 + 453008/249*c_1001_2^6 - 423167/249*c_1001_2^5 + 325486/249*c_1001_2^4 - 202889/249*c_1001_2^3 + 98519/249*c_1001_2^2 - 34402/249*c_1001_2 + 2511/83, c_0101_11 + 422/83*c_1001_2^13 - 9032/249*c_1001_2^12 + 33767/249*c_1001_2^11 - 29720/83*c_1001_2^10 + 181775/249*c_1001_2^9 - 298411/249*c_1001_2^8 + 134486/83*c_1001_2^7 - 453008/249*c_1001_2^6 + 423167/249*c_1001_2^5 - 325486/249*c_1001_2^4 + 202889/249*c_1001_2^3 - 98519/249*c_1001_2^2 + 34402/249*c_1001_2 - 2511/83, c_0101_12 - 52/83*c_1001_2^13 + 244/249*c_1001_2^12 + 944/249*c_1001_2^11 - 1658/83*c_1001_2^10 + 14381/249*c_1001_2^9 - 29098/249*c_1001_2^8 + 14919/83*c_1001_2^7 - 56285/249*c_1001_2^6 + 56876/249*c_1001_2^5 - 46819/249*c_1001_2^4 + 31283/249*c_1001_2^3 - 15413/249*c_1001_2^2 + 5803/249*c_1001_2 - 340/83, c_0101_3 + 518/83*c_1001_2^13 - 9470/249*c_1001_2^12 + 31703/249*c_1001_2^11 - 26175/83*c_1001_2^10 + 152033/249*c_1001_2^9 - 239518/249*c_1001_2^8 + 104894/83*c_1001_2^7 - 345275/249*c_1001_2^6 + 318107/249*c_1001_2^5 - 243163/249*c_1001_2^4 + 150965/249*c_1001_2^3 - 73967/249*c_1001_2^2 + 25840/249*c_1001_2 - 1862/83, c_0101_5 + 528/83*c_1001_2^13 - 40*c_1001_2^12 + 11188/83*c_1001_2^11 - 328*c_1001_2^10 + 51326/83*c_1001_2^9 - 77954/83*c_1001_2^8 + 97572/83*c_1001_2^7 - 101022/83*c_1001_2^6 + 86728/83*c_1001_2^5 - 61111/83*c_1001_2^4 + 34604/83*c_1001_2^3 - 15256/83*c_1001_2^2 + 4791/83*c_1001_2 - 968/83, c_0101_8 + 528/83*c_1001_2^13 - 40*c_1001_2^12 + 11188/83*c_1001_2^11 - 328*c_1001_2^10 + 51326/83*c_1001_2^9 - 77954/83*c_1001_2^8 + 97572/83*c_1001_2^7 - 101022/83*c_1001_2^6 + 86728/83*c_1001_2^5 - 61111/83*c_1001_2^4 + 34604/83*c_1001_2^3 - 15256/83*c_1001_2^2 + 4791/83*c_1001_2 - 968/83, c_0101_9 + c_1001_2, c_1001_0 + 612/83*c_1001_2^13 - 3810/83*c_1001_2^12 + 13118/83*c_1001_2^11 - 33027/83*c_1001_2^10 + 64600/83*c_1001_2^9 - 102773/83*c_1001_2^8 + 135766/83*c_1001_2^7 - 149585/83*c_1001_2^6 + 138452/83*c_1001_2^5 - 106085/83*c_1001_2^4 + 66471/83*c_1001_2^3 - 32977/83*c_1001_2^2 + 11775/83*c_1001_2 - 2867/83, c_1001_2^14 - 22/3*c_1001_2^13 + 167/6*c_1001_2^12 - 75*c_1001_2^11 + 472/3*c_1001_2^10 - 1603/6*c_1001_2^9 + 755/2*c_1001_2^8 - 1345/3*c_1001_2^7 + 1348/3*c_1001_2^6 - 1139/3*c_1001_2^5 + 1601/6*c_1001_2^4 - 460/3*c_1001_2^3 + 415/6*c_1001_2^2 - 45/2*c_1001_2 + 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB