Magma V2.19-8 Wed Aug 21 2013 00:08:35 on localhost [Seed = 1191258121] Type ? for help. Type -D to quit. Loading file "K13n2357__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2357 geometric_solution 11.49955728 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.555433471937 0.251970047183 0 3 4 5 0132 1023 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.792300686335 1.276191516473 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187575308121 1.082741012897 1 9 10 0 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624440117019 0.464686949904 10 11 0 1 1302 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.605713412750 0.609410355837 8 8 1 12 1023 0213 0132 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 11 -10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939168568241 1.143018442573 2 9 8 7 0132 1023 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1.216853084295 0.888950042038 6 9 2 12 3201 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632787667343 0.814396971882 6 5 5 2 2310 1023 0213 0132 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 0 -1 1 0 0 0 0 1 0 0 -1 1 -11 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046429415884 0.872405549215 6 3 7 11 1023 0132 0213 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413263734977 0.739121118679 11 4 12 3 2103 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1.295964121648 0.718988566457 9 4 10 12 3120 0132 2103 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579533094944 0.949632298045 11 7 5 10 3012 0321 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326523713813 0.961455611039 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0110_4']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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_0101_10'], '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_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_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_0110_4'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1001_12'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_1001_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_0110_4'], '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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0011_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_12']), '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_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0110_4, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 85760853219948/70255647180157711*c_1001_12^9 + 5299081933385662/1194346002062681087*c_1001_12^8 - 16715077353394/7909576172600537*c_1001_12^7 - 48049921169275/31638304690402148*c_1001_12^6 + 159976416662635925/2388692004125362174*c_1001_12^5 + 9136166447172241/4777384008250724348*c_1001_12^4 - 474426739185468341/2388692004125362174*c_1001_12^3 + 422765354819532747/1194346002062681087*c_1001_12^2 + 2247152354085338783/4777384008250724348*c_1001_12 - 434427853991724097/2388692004125362174, c_0011_0 - 1, c_0011_10 + 29039346484/4117426430297*c_1001_12^9 + 112125545514/4117426430297*c_1001_12^8 + 13446726191/4117426430297*c_1001_12^7 + 66392264411/4117426430297*c_1001_12^6 + 1466989157080/4117426430297*c_1001_12^5 + 397948095957/4117426430297*c_1001_12^4 - 3086170356446/4117426430297*c_1001_12^3 + 6451821241413/4117426430297*c_1001_12^2 + 6650202886059/4117426430297*c_1001_12 + 6396458843480/4117426430297, c_0011_11 - 23723853034/4117426430297*c_1001_12^9 - 86531757317/4117426430297*c_1001_12^8 + 25636432334/4117426430297*c_1001_12^7 - 18487738147/4117426430297*c_1001_12^6 - 1241472658820/4117426430297*c_1001_12^5 + 14044609650/4117426430297*c_1001_12^4 + 3401076889308/4117426430297*c_1001_12^3 - 6278911819322/4117426430297*c_1001_12^2 - 6574632878186/4117426430297*c_1001_12 - 562464036149/4117426430297, c_0011_12 - 6273538008/4117426430297*c_1001_12^9 - 32302374753/4117426430297*c_1001_12^8 - 29781106680/4117426430297*c_1001_12^7 + 27956409146/4117426430297*c_1001_12^6 - 252066232704/4117426430297*c_1001_12^5 - 492284473161/4117426430297*c_1001_12^4 + 1104198075336/4117426430297*c_1001_12^3 + 146760031820/4117426430297*c_1001_12^2 - 5511442654204/4117426430297*c_1001_12 - 1470823243843/4117426430297, c_0011_5 + 15254333182/4117426430297*c_1001_12^9 + 55147985048/4117426430297*c_1001_12^8 - 28395593480/4117426430297*c_1001_12^7 - 8544224375/4117426430297*c_1001_12^6 + 797806857390/4117426430297*c_1001_12^5 - 41848446280/4117426430297*c_1001_12^4 - 2016868327272/4117426430297*c_1001_12^3 + 3854998080619/4117426430297*c_1001_12^2 + 3478046802194/4117426430297*c_1001_12 + 3221927656244/4117426430297, c_0101_0 + 32468338336/4117426430297*c_1001_12^9 + 106845116295/4117426430297*c_1001_12^8 - 71322752157/4117426430297*c_1001_12^7 + 23528106251/4117426430297*c_1001_12^6 + 1727715161475/4117426430297*c_1001_12^5 - 117371384976/4117426430297*c_1001_12^4 - 4021218445385/4117426430297*c_1001_12^3 + 9940142189613/4117426430297*c_1001_12^2 + 9614855637866/4117426430297*c_1001_12 + 1139802427784/4117426430297, c_0101_10 - 18408359584/4117426430297*c_1001_12^9 - 60937969120/4117426430297*c_1001_12^8 + 64719590859/4117426430297*c_1001_12^7 + 29416788117/4117426430297*c_1001_12^6 - 1015956160560/4117426430297*c_1001_12^5 + 426037315257/4117426430297*c_1001_12^4 + 3715983422170/4117426430297*c_1001_12^3 - 6106002397231/4117426430297*c_1001_12^2 - 6499062870313/4117426430297*c_1001_12 + 5271530771182/4117426430297, c_0101_12 + 22765808476/4117426430297*c_1001_12^9 + 79823170761/4117426430297*c_1001_12^8 - 16334380489/4117426430297*c_1001_12^7 + 94348673557/4117426430297*c_1001_12^6 + 1214922924376/4117426430297*c_1001_12^5 - 94336377204/4117426430297*c_1001_12^4 - 1981972281110/4117426430297*c_1001_12^3 + 6598581273233/4117426430297*c_1001_12^2 + 1138760231855/4117426430297*c_1001_12 + 4925635599637/4117426430297, c_0101_2 + 8345706458/4117426430297*c_1001_12^9 + 22306502363/4117426430297*c_1001_12^8 - 22079592534/4117426430297*c_1001_12^7 + 61601935393/4117426430297*c_1001_12^6 + 360882312700/4117426430297*c_1001_12^5 - 395300492769/4117426430297*c_1001_12^4 - 541015676780/4117426430297*c_1001_12^3 + 3227495269994/4117426430297*c_1001_12^2 - 523686188418/4117426430297*c_1001_12 + 2924964587037/4117426430297, c_0101_3 - 23723853034/4117426430297*c_1001_12^9 - 86531757317/4117426430297*c_1001_12^8 + 25636432334/4117426430297*c_1001_12^7 - 18487738147/4117426430297*c_1001_12^6 - 1241472658820/4117426430297*c_1001_12^5 + 14044609650/4117426430297*c_1001_12^4 + 3401076889308/4117426430297*c_1001_12^3 - 6278911819322/4117426430297*c_1001_12^2 - 6574632878186/4117426430297*c_1001_12 - 562464036149/4117426430297, c_0110_4 - 47447706068/4117426430297*c_1001_12^9 - 173063514634/4117426430297*c_1001_12^8 + 51272864668/4117426430297*c_1001_12^7 - 36975476294/4117426430297*c_1001_12^6 - 2482945317640/4117426430297*c_1001_12^5 + 28089219300/4117426430297*c_1001_12^4 + 6802153778616/4117426430297*c_1001_12^3 - 12557823638644/4117426430297*c_1001_12^2 - 13149265756372/4117426430297*c_1001_12 - 1124928072298/4117426430297, c_1001_0 - 32468338336/4117426430297*c_1001_12^9 - 106845116295/4117426430297*c_1001_12^8 + 71322752157/4117426430297*c_1001_12^7 - 23528106251/4117426430297*c_1001_12^6 - 1727715161475/4117426430297*c_1001_12^5 + 117371384976/4117426430297*c_1001_12^4 + 4021218445385/4117426430297*c_1001_12^3 - 9940142189613/4117426430297*c_1001_12^2 - 9614855637866/4117426430297*c_1001_12 - 5257228858081/4117426430297, c_1001_12^10 + 4*c_1001_12^9 + 55*c_1001_12^6 + 22*c_1001_12^5 - 138*c_1001_12^4 + 242*c_1001_12^3 + 422*c_1001_12^2 + 104*c_1001_12 + 151 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.970 Total time: 9.179 seconds, Total memory usage: 82.31MB