Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 3886447365] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2040 geometric_solution 5.57451582 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 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 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 0 0 1.168534047909 0.855320336671 0 4 5 5 0132 0132 1230 0132 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 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 0.261977649141 0.547840082190 6 0 3 0 0132 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.168534047909 0.855320336671 4 2 6 0 0213 3201 0213 0132 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 -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 0.855853317394 0.454553273249 3 1 6 5 0213 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572889400330 0.537074431914 4 6 1 1 3201 0321 0132 3012 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 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 0.278593839309 0.192215346030 2 3 4 5 0132 0213 0321 0321 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 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 -0.144146682606 0.454553273249 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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_1100_6' : d['c_1001_4'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_1001_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0110_5, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1648725312/1447595*c_1001_4^10 + 6009413024/1447595*c_1001_4^9 + 9741306368/1447595*c_1001_4^8 + 5688318488/1447595*c_1001_4^7 - 4020504592/1447595*c_1001_4^6 - 182559874/33665*c_1001_4^5 - 3387278629/1447595*c_1001_4^4 + 1264459381/1447595*c_1001_4^3 + 1941184674/1447595*c_1001_4^2 + 807398762/1447595*c_1001_4 + 159585753/1447595, c_0011_0 - 1, c_0011_3 + 20509824/2026633*c_1001_4^10 + 59920768/2026633*c_1001_4^9 + 69790304/2026633*c_1001_4^8 - 7871984/2026633*c_1001_4^7 - 84146856/2026633*c_1001_4^6 - 1110540/47131*c_1001_4^5 + 28040464/2026633*c_1001_4^4 + 33141375/2026633*c_1001_4^3 + 3090028/2026633*c_1001_4^2 - 5590395/2026633*c_1001_4 - 1487789/2026633, c_0011_5 + 41827264/2026633*c_1001_4^10 + 168190112/2026633*c_1001_4^9 + 288933664/2026633*c_1001_4^8 + 189112808/2026633*c_1001_4^7 - 111826216/2026633*c_1001_4^6 - 5898398/47131*c_1001_4^5 - 112593185/2026633*c_1001_4^4 + 43162242/2026633*c_1001_4^3 + 64032460/2026633*c_1001_4^2 + 24472067/2026633*c_1001_4 + 3638417/2026633, c_0101_0 - 41827264/2026633*c_1001_4^10 - 168190112/2026633*c_1001_4^9 - 288933664/2026633*c_1001_4^8 - 189112808/2026633*c_1001_4^7 + 111826216/2026633*c_1001_4^6 + 5898398/47131*c_1001_4^5 + 112593185/2026633*c_1001_4^4 - 43162242/2026633*c_1001_4^3 - 64032460/2026633*c_1001_4^2 - 24472067/2026633*c_1001_4 - 3638417/2026633, c_0110_5 + 19258688/2026633*c_1001_4^10 + 74957472/2026633*c_1001_4^9 + 124837696/2026633*c_1001_4^8 + 69058424/2026633*c_1001_4^7 - 69885456/2026633*c_1001_4^6 - 2801690/47131*c_1001_4^5 - 35137253/2026633*c_1001_4^4 + 36070355/2026633*c_1001_4^3 + 26890545/2026633*c_1001_4^2 + 4689691/2026633*c_1001_4 + 96721/2026633, c_1001_0 - 43589376/2026633*c_1001_4^10 - 161356800/2026633*c_1001_4^9 - 255486272/2026633*c_1001_4^8 - 133659552/2026633*c_1001_4^7 + 137490352/2026633*c_1001_4^6 + 5087384/47131*c_1001_4^5 + 69585480/2026633*c_1001_4^4 - 53615858/2026633*c_1001_4^3 - 50088200/2026633*c_1001_4^2 - 13674173/2026633*c_1001_4 - 741324/2026633, c_1001_4^11 + 9/2*c_1001_4^10 + 9*c_1001_4^9 + 67/8*c_1001_4^8 + 1/4*c_1001_4^7 - 227/32*c_1001_4^6 - 393/64*c_1001_4^5 - 53/64*c_1001_4^4 + 123/64*c_1001_4^3 + 47/32*c_1001_4^2 + 31/64*c_1001_4 + 5/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB