Magma V2.19-8 Tue Aug 20 2013 23:56:59 on localhost [Seed = 3330321972] Type ? for help. Type -D to quit. Loading file "L14n25902__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25902 geometric_solution 10.33670135 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 1 -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 1 -5 4 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 1.039541593593 1.651798980449 0 5 6 3 0132 0132 0132 2031 1 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 0 0 0 0 0 0 -5 0 5 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 0.727089010128 0.433647001335 7 0 9 8 0132 0132 0132 0132 1 0 1 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 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 0.427374162608 0.497950932579 3 1 3 0 2031 1302 1302 0132 1 1 1 1 0 0 1 -1 -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 0 -5 5 5 0 -5 0 5 -5 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263072964606 0.452433600269 5 6 0 5 0321 1023 0132 3012 1 1 0 0 0 0 1 -1 1 0 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 -4 4 -5 0 0 5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625680287269 0.661322476739 4 1 4 7 0321 0132 1230 3201 1 0 0 1 0 -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 5 -5 0 0 0 0 0 0 0 0 0 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648214568739 1.145221182525 4 7 9 1 1023 3201 3012 0132 1 1 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 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914992172653 0.411359919153 2 5 6 10 0132 2310 2310 0132 0 0 0 1 0 0 0 0 0 0 1 -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 -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 0.562829291867 0.300606271993 9 11 2 10 0213 0132 0132 2310 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 0 0 0 0 0 0 -1 1 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 0.586477145467 0.471923482849 8 6 11 2 0213 1230 0132 0132 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 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 -0.230819127441 0.647617439070 8 11 7 11 3201 3201 0132 3120 0 0 1 0 0 0 0 0 0 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 -1 1 -1 0 1 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 0.265492339369 1.695290021340 10 8 10 9 3120 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265492339369 1.695290021340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], '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' : negation(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_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_11']), '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_4'], '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_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_9'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 29595722177663/24336441000*c_1001_1^12 + 103656385262227/24336441000*c_1001_1^11 + 7418471976603/2704049000*c_1001_1^10 + 4615131632297/2028036750*c_1001_1^9 + 489259256374021/12168220500*c_1001_1^8 + 2206337277001183/24336441000*c_1001_1^7 + 264964441030469/8112147000*c_1001_1^6 - 1938865840751201/24336441000*c_1001_1^5 + 15661840805757/1352024500*c_1001_1^4 + 3542970251152111/12168220500*c_1001_1^3 + 662754694021361/1622429400*c_1001_1^2 + 5930454143026759/24336441000*c_1001_1 + 58763829511837/973457640, c_0011_0 - 1, c_0011_10 + 5564627/94641715*c_1001_1^12 + 16419153/94641715*c_1001_1^11 - 1362127/94641715*c_1001_1^10 + 380633/13520245*c_1001_1^9 + 192626583/94641715*c_1001_1^8 + 291126707/94641715*c_1001_1^7 - 151938452/94641715*c_1001_1^6 - 376113209/94641715*c_1001_1^5 + 446911939/94641715*c_1001_1^4 + 1162167858/94641715*c_1001_1^3 + 157793463/18928343*c_1001_1^2 + 93051586/94641715*c_1001_1 - 7999868/18928343, c_0011_11 - 14104961/94641715*c_1001_1^12 - 54613549/94641715*c_1001_1^11 - 41239204/94641715*c_1001_1^10 - 2856329/13520245*c_1001_1^9 - 480179774/94641715*c_1001_1^8 - 1202351221/94641715*c_1001_1^7 - 516254254/94641715*c_1001_1^6 + 1095034387/94641715*c_1001_1^5 + 21890103/94641715*c_1001_1^4 - 3812278634/94641715*c_1001_1^3 - 1090619660/18928343*c_1001_1^2 - 3189729378/94641715*c_1001_1 - 143623007/18928343, c_0011_3 + 6867794/94641715*c_1001_1^12 + 17824216/94641715*c_1001_1^11 + 1603601/94641715*c_1001_1^10 + 2565551/13520245*c_1001_1^9 + 422269247/189283430*c_1001_1^8 + 648953993/189283430*c_1001_1^7 - 33874619/94641715*c_1001_1^6 - 604910941/189283430*c_1001_1^5 + 624098971/189283430*c_1001_1^4 + 2505793107/189283430*c_1001_1^3 + 258454172/18928343*c_1001_1^2 + 1173379549/189283430*c_1001_1 + 72190495/37856686, c_0011_4 + 5558332/94641715*c_1001_1^12 + 16086718/94641715*c_1001_1^11 + 2081848/94641715*c_1001_1^10 + 1260433/13520245*c_1001_1^9 + 178715268/94641715*c_1001_1^8 + 297872877/94641715*c_1001_1^7 - 41590397/94641715*c_1001_1^6 - 335106554/94641715*c_1001_1^5 + 221591394/94641715*c_1001_1^4 + 1159357713/94641715*c_1001_1^3 + 240426680/18928343*c_1001_1^2 + 431364461/94641715*c_1001_1 - 3512555/18928343, c_0011_9 + 1229322/18928343*c_1001_1^12 + 4030296/18928343*c_1001_1^11 + 1570393/18928343*c_1001_1^10 + 293372/2704049*c_1001_1^9 + 41587067/18928343*c_1001_1^8 + 79464729/18928343*c_1001_1^7 + 9214658/18928343*c_1001_1^6 - 69886606/18928343*c_1001_1^5 + 39375059/18928343*c_1001_1^4 + 265381532/18928343*c_1001_1^3 + 341748686/18928343*c_1001_1^2 + 189190858/18928343*c_1001_1 + 46720003/18928343, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 2299928/94641715*c_1001_1^12 - 7481767/94641715*c_1001_1^11 - 5450272/94641715*c_1001_1^10 - 1523372/13520245*c_1001_1^9 - 75137537/94641715*c_1001_1^8 - 149464663/94641715*c_1001_1^7 - 103927667/94641715*c_1001_1^6 + 25512181/94641715*c_1001_1^5 + 705984/94641715*c_1001_1^4 - 311851772/94641715*c_1001_1^3 - 160942711/18928343*c_1001_1^2 - 866794349/94641715*c_1001_1 - 66219511/18928343, c_0101_6 - c_1001_1, c_1001_0 - 6867794/94641715*c_1001_1^12 - 17824216/94641715*c_1001_1^11 - 1603601/94641715*c_1001_1^10 - 2565551/13520245*c_1001_1^9 - 422269247/189283430*c_1001_1^8 - 648953993/189283430*c_1001_1^7 + 33874619/94641715*c_1001_1^6 + 604910941/189283430*c_1001_1^5 - 624098971/189283430*c_1001_1^4 - 2505793107/189283430*c_1001_1^3 - 258454172/18928343*c_1001_1^2 - 1362662979/189283430*c_1001_1 - 72190495/37856686, c_1001_1^13 + 4*c_1001_1^12 + 4*c_1001_1^11 + 3*c_1001_1^10 + 34*c_1001_1^9 + 91*c_1001_1^8 + 64*c_1001_1^7 - 52*c_1001_1^6 - 23*c_1001_1^5 + 244*c_1001_1^4 + 455*c_1001_1^3 + 368*c_1001_1^2 + 150*c_1001_1 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB