Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 2050746122] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2929 geometric_solution 6.12739517 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 0132 0 0 0 0 0 -1 1 0 -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 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 1.515045726063 1.563689229679 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 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 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 0.138546941228 0.797669256063 0 0 3 6 2103 0132 1302 2031 0 0 0 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680402973917 0.329858313136 2 5 0 5 2031 2031 0132 0213 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0.032485732320 0.813491029072 6 1 4 4 0132 0132 1230 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 -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 0.313384502000 0.467568770842 3 6 1 3 1302 3201 0132 0213 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 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 0.245326765842 1.366854595673 4 2 5 1 0132 1302 2310 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 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 0.138546941228 0.797669256063 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0110_3']})} 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_1, c_0101_6, c_0110_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 4686771292/2165541545*c_0110_3^18 - 3588245981/433108309*c_0110_3^17 - 11113585896/2165541545*c_0110_3^16 + 127744199812/2165541545*c_0110_3^15 - 87776869701/2165541545*c_0110_3^14 - 319051607876/2165541545*c_0110_3^13 + 408118436148/2165541545*c_0110_3^12 + 67244189887/433108309*c_0110_3^11 - 631082844552/2165541545*c_0110_3^10 - 242260699267/2165541545*c_0110_3^9 + 103895329177/433108309*c_0110_3^8 + 70581487445/433108309*c_0110_3^7 - 472106714491/2165541545*c_0110_3^6 - 252478415182/2165541545*c_0110_3^5 + 278827787131/2165541545*c_0110_3^4 + 89806876766/2165541545*c_0110_3^3 - 40435970197/2165541545*c_0110_3^2 - 100789058201/2165541545*c_0110_3 + 15996164116/2165541545, c_0011_0 - 1, c_0011_3 + 520677579/2165541545*c_0110_3^18 - 2045964192/2165541545*c_0110_3^17 - 1183202736/2165541545*c_0110_3^16 + 15216508447/2165541545*c_0110_3^15 - 11936866258/2165541545*c_0110_3^14 - 39504129493/2165541545*c_0110_3^13 + 11896126849/433108309*c_0110_3^12 + 7617404861/433108309*c_0110_3^11 - 104473542269/2165541545*c_0110_3^10 - 5205730927/2165541545*c_0110_3^9 + 89866954331/2165541545*c_0110_3^8 + 2851109672/2165541545*c_0110_3^7 - 59935196593/2165541545*c_0110_3^6 - 2180814824/433108309*c_0110_3^5 + 37955482087/2165541545*c_0110_3^4 + 203423036/2165541545*c_0110_3^3 - 10154548887/2165541545*c_0110_3^2 + 413265639/2165541545*c_0110_3 - 399550651/433108309, c_0011_5 + 8015696/2165541545*c_0110_3^18 - 125983338/2165541545*c_0110_3^17 + 148807811/2165541545*c_0110_3^16 + 1120350458/2165541545*c_0110_3^15 - 2198863842/2165541545*c_0110_3^14 - 3260192647/2165541545*c_0110_3^13 + 1918451975/433108309*c_0110_3^12 + 472170192/433108309*c_0110_3^11 - 19044772211/2165541545*c_0110_3^10 + 4087765672/2165541545*c_0110_3^9 + 19481427494/2165541545*c_0110_3^8 - 5908141837/2165541545*c_0110_3^7 - 14402299867/2165541545*c_0110_3^6 + 245052062/433108309*c_0110_3^5 + 11073557653/2165541545*c_0110_3^4 - 2351583756/2165541545*c_0110_3^3 - 3679806123/2165541545*c_0110_3^2 + 1454658706/2165541545*c_0110_3 + 62777498/433108309, c_0101_1 + 36746124/2165541545*c_0110_3^18 - 178593702/2165541545*c_0110_3^17 + 258706234/2165541545*c_0110_3^16 + 442536982/2165541545*c_0110_3^15 - 2574739443/2165541545*c_0110_3^14 + 3180089202/2165541545*c_0110_3^13 + 928053802/433108309*c_0110_3^12 - 2894776428/433108309*c_0110_3^11 + 3463136806/2165541545*c_0110_3^10 + 19574436303/2165541545*c_0110_3^9 - 14120983599/2165541545*c_0110_3^8 - 9156515628/2165541545*c_0110_3^7 + 7897593732/2165541545*c_0110_3^6 + 1128663430/433108309*c_0110_3^5 - 2866661258/2165541545*c_0110_3^4 - 4630518554/2165541545*c_0110_3^3 + 4319683578/2165541545*c_0110_3^2 - 1369663736/2165541545*c_0110_3 - 121126928/433108309, c_0101_6 + 198416071/2165541545*c_0110_3^18 - 852287468/2165541545*c_0110_3^17 + 17222251/2165541545*c_0110_3^16 + 5265104248/2165541545*c_0110_3^15 - 7010587087/2165541545*c_0110_3^14 - 8797748787/2165541545*c_0110_3^13 + 4926217831/433108309*c_0110_3^12 - 684570866/433108309*c_0110_3^11 - 31694053541/2165541545*c_0110_3^10 + 18314557182/2165541545*c_0110_3^9 + 20790116174/2165541545*c_0110_3^8 - 11135256622/2165541545*c_0110_3^7 - 20356696482/2165541545*c_0110_3^6 + 1723015112/433108309*c_0110_3^5 + 13668814093/2165541545*c_0110_3^4 - 6214261686/2165541545*c_0110_3^3 - 2902678148/2165541545*c_0110_3^2 - 1303883194/2165541545*c_0110_3 - 18580880/433108309, c_0110_2 + 520677579/2165541545*c_0110_3^18 - 2045964192/2165541545*c_0110_3^17 - 1183202736/2165541545*c_0110_3^16 + 15216508447/2165541545*c_0110_3^15 - 11936866258/2165541545*c_0110_3^14 - 39504129493/2165541545*c_0110_3^13 + 11896126849/433108309*c_0110_3^12 + 7617404861/433108309*c_0110_3^11 - 104473542269/2165541545*c_0110_3^10 - 5205730927/2165541545*c_0110_3^9 + 89866954331/2165541545*c_0110_3^8 + 2851109672/2165541545*c_0110_3^7 - 59935196593/2165541545*c_0110_3^6 - 2180814824/433108309*c_0110_3^5 + 37955482087/2165541545*c_0110_3^4 + 203423036/2165541545*c_0110_3^3 - 10154548887/2165541545*c_0110_3^2 + 413265639/2165541545*c_0110_3 - 399550651/433108309, c_0110_3^19 - 5*c_0110_3^18 + 2*c_0110_3^17 + 31*c_0110_3^16 - 53*c_0110_3^15 - 48*c_0110_3^14 + 184*c_0110_3^13 - 50*c_0110_3^12 - 246*c_0110_3^11 + 184*c_0110_3^10 + 145*c_0110_3^9 - 140*c_0110_3^8 - 103*c_0110_3^7 + 79*c_0110_3^6 + 83*c_0110_3^5 - 67*c_0110_3^4 - 11*c_0110_3^3 + 12*c_0110_3^2 - 2*c_0110_3 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB