Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 896838541] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m209 geometric_solution 4.07786568 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934600153515 0.439737044173 0 1 1 0 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.182093876697 0.302146192855 3 0 4 4 2103 0132 2310 0132 0 0 0 0 0 1 0 -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 -1 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 0.416233186462 0.864805727202 4 4 2 0 3201 1023 2103 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 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 0.416233186462 0.864805727202 3 2 2 3 1023 3201 0132 2310 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 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 -0.451867938878 0.938843884126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_3'], '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_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_0'], '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_0']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 174642323/178788488*c_0101_2^11 - 376631725/178788488*c_0101_2^10 - 294455185/178788488*c_0101_2^9 + 289529107/89394244*c_0101_2^8 - 603638167/178788488*c_0101_2^7 + 1120866893/178788488*c_0101_2^6 - 2263703729/178788488*c_0101_2^5 + 2783849071/178788488*c_0101_2^4 - 3891696399/178788488*c_0101_2^3 + 3709867745/178788488*c_0101_2^2 - 6860446549/178788488*c_0101_2 + 2011779879/178788488, c_0011_0 - 1, c_0011_3 + 658052/22348561*c_0101_2^11 + 81596/22348561*c_0101_2^10 - 3818025/22348561*c_0101_2^9 - 1838753/22348561*c_0101_2^8 + 2304972/22348561*c_0101_2^7 + 2559792/22348561*c_0101_2^6 - 2173542/22348561*c_0101_2^5 - 8937059/22348561*c_0101_2^4 + 3110549/22348561*c_0101_2^3 + 7259722/22348561*c_0101_2^2 - 8735253/22348561*c_0101_2 - 23755836/22348561, c_0101_0 + 658052/22348561*c_0101_2^11 + 81596/22348561*c_0101_2^10 - 3818025/22348561*c_0101_2^9 - 1838753/22348561*c_0101_2^8 + 2304972/22348561*c_0101_2^7 + 2559792/22348561*c_0101_2^6 - 2173542/22348561*c_0101_2^5 - 8937059/22348561*c_0101_2^4 + 3110549/22348561*c_0101_2^3 - 15088839/22348561*c_0101_2^2 - 8735253/22348561*c_0101_2 - 23755836/22348561, c_0101_1 - 4202675/22348561*c_0101_2^11 + 7160340/22348561*c_0101_2^10 + 10358772/22348561*c_0101_2^9 - 8962056/22348561*c_0101_2^8 + 8837618/22348561*c_0101_2^7 - 22194786/22348561*c_0101_2^6 + 50627082/22348561*c_0101_2^5 - 50071486/22348561*c_0101_2^4 + 68601548/22348561*c_0101_2^3 - 58350737/22348561*c_0101_2^2 + 143507596/22348561*c_0101_2 + 1607707/22348561, c_0101_2^12 - 2*c_0101_2^11 - 2*c_0101_2^10 + 3*c_0101_2^9 - 3*c_0101_2^8 + 6*c_0101_2^7 - 12*c_0101_2^6 + 14*c_0101_2^5 - 20*c_0101_2^4 + 18*c_0101_2^3 - 36*c_0101_2^2 + 6*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB