Magma V2.19-8 Tue Aug 20 2013 23:44:51 on localhost [Seed = 4173241695] Type ? for help. Type -D to quit. Loading file "L14n478__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n478 geometric_solution 9.84554914 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 -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 -1 1 0 12 0 -12 0 -1 0 0 1 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.397048016848 0.788945282502 0 3 2 5 0132 1230 2103 0132 1 1 1 1 0 1 -1 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 0 0 0 0 12 -12 0 -12 0 -1 13 13 -13 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962813451770 0.629819815749 1 0 7 6 2103 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 1 -1 0 1 0 -1 0 12 -13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535632577612 0.830075308798 5 4 1 0 3201 0321 3012 0132 1 1 1 1 0 0 0 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 0 1 -1 0 0 -12 12 0 0 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962813451770 0.629819815749 8 9 0 3 0132 0132 0132 0321 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535632577612 0.830075308798 10 10 1 3 0132 2310 0132 2310 1 1 1 1 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545988418472 0.658428098848 8 9 2 8 2103 0213 0132 3201 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 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481359200649 0.883488226276 8 9 9 2 3120 0321 3201 0132 1 1 1 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 -1 1 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 0.481359200649 0.883488226276 4 6 6 7 0132 2310 2103 3120 0 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 1 -2 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 0.481359200649 0.883488226276 7 4 6 7 2310 0132 0213 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.481359200649 0.883488226276 5 10 10 5 0132 3201 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.978613388311 0.459806556597 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_7']), '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' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), '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_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 14357631/6520822*c_1001_2^5 + 42831763/6520822*c_1001_2^4 - 78355012/3260411*c_1001_2^3 + 19750420/3260411*c_1001_2^2 - 138450923/6520822*c_1001_2 + 173049006/3260411, c_0011_0 - 1, c_0011_10 - 723/6049*c_1001_2^5 + 1980/6049*c_1001_2^4 - 7837/6049*c_1001_2^3 + 1551/6049*c_1001_2^2 - 9962/6049*c_1001_2 + 16304/6049, c_0011_3 + c_1001_2, c_0011_4 - 280/6049*c_1001_2^5 + 1068/6049*c_1001_2^4 - 3604/6049*c_1001_2^3 + 4466/6049*c_1001_2^2 + 2032/6049*c_1001_2 + 6448/6049, c_0011_6 - 1, c_0011_7 - 1, c_0101_0 - 399/6049*c_1001_2^5 + 917/6049*c_1001_2^4 - 3321/6049*c_1001_2^3 - 2407/6049*c_1001_2^2 - 5573/6049*c_1001_2 + 11608/6049, c_0101_1 + 280/6049*c_1001_2^5 - 1068/6049*c_1001_2^4 + 3604/6049*c_1001_2^3 - 4466/6049*c_1001_2^2 + 4017/6049*c_1001_2 - 6448/6049, c_0101_10 - 490/6049*c_1001_2^5 + 1869/6049*c_1001_2^4 - 6307/6049*c_1001_2^3 + 4791/6049*c_1001_2^2 - 2493/6049*c_1001_2 + 11284/6049, c_1001_0 + 280/6049*c_1001_2^5 - 1068/6049*c_1001_2^4 + 3604/6049*c_1001_2^3 - 4466/6049*c_1001_2^2 + 4017/6049*c_1001_2 - 6448/6049, c_1001_2^6 - 3*c_1001_2^5 + 11*c_1001_2^4 - 3*c_1001_2^3 + 10*c_1001_2^2 - 24*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 257855779/88736768*c_1001_2^7 - 215438193/22184192*c_1001_2^6 + 511736521/44368384*c_1001_2^5 - 2042756339/44368384*c_1001_2^4 + 6949818847/88736768*c_1001_2^3 + 169579695/44368384*c_1001_2^2 + 6410691055/88736768*c_1001_2 - 5285373037/88736768, c_0011_0 - 1, c_0011_10 - 2366/86657*c_1001_2^7 - 198/86657*c_1001_2^6 + 16567/86657*c_1001_2^5 + 7470/86657*c_1001_2^4 + 43831/86657*c_1001_2^3 - 154583/86657*c_1001_2^2 - 118160/86657*c_1001_2 + 25084/86657, c_0011_3 + c_1001_2, c_0011_4 - 2935/86657*c_1001_2^7 + 13892/86657*c_1001_2^6 - 20946/86657*c_1001_2^5 + 58858/86657*c_1001_2^4 - 140295/86657*c_1001_2^3 + 81068/86657*c_1001_2^2 - 8643/86657*c_1001_2 + 119385/86657, c_0011_6 - 1, c_0011_7 + 1, c_0101_0 - 4091/86657*c_1001_2^7 + 13429/86657*c_1001_2^6 - 10654/86657*c_1001_2^5 + 52692/86657*c_1001_2^4 - 92509/86657*c_1001_2^3 - 83021/86657*c_1001_2^2 - 91500/86657*c_1001_2 + 150906/86657, c_0101_1 - 2935/86657*c_1001_2^7 + 13892/86657*c_1001_2^6 - 20946/86657*c_1001_2^5 + 58858/86657*c_1001_2^4 - 140295/86657*c_1001_2^3 + 81068/86657*c_1001_2^2 - 95300/86657*c_1001_2 + 119385/86657, c_0101_10 + 2801/86657*c_1001_2^7 - 15295/86657*c_1001_2^6 + 30235/86657*c_1001_2^5 - 61072/86657*c_1001_2^4 + 156329/86657*c_1001_2^3 - 131723/86657*c_1001_2^2 - 24200/86657*c_1001_2 - 114082/86657, c_1001_0 - 2935/86657*c_1001_2^7 + 13892/86657*c_1001_2^6 - 20946/86657*c_1001_2^5 + 58858/86657*c_1001_2^4 - 140295/86657*c_1001_2^3 + 81068/86657*c_1001_2^2 - 95300/86657*c_1001_2 + 119385/86657, c_1001_2^8 - 4*c_1001_2^7 + 6*c_1001_2^6 - 18*c_1001_2^5 + 37*c_1001_2^4 - 14*c_1001_2^3 + 21*c_1001_2^2 - 39*c_1001_2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB