Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 812755988] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s278 geometric_solution 4.44891479 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.606807747934 0.262973110896 2 0 3 0 0132 2310 0132 0132 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 1 -1 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 1.005792443610 0.338286258202 1 3 3 4 0132 0213 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834603241305 0.653425887111 4 2 2 1 0132 1230 0213 0132 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 0 1 -1 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 0.834603241305 0.653425887111 3 5 2 5 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.870188696894 0.819276544917 5 4 5 4 2031 0132 1302 1023 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 0.467485881810 0.338580403383 ==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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 10948195501/650990450*c_0110_5^10 + 81916356667/650990450*c_0110_5^9 - 13154129843/325495225*c_0110_5^8 - 37069351611/59180950*c_0110_5^7 + 62425746154/65099045*c_0110_5^6 + 611721567803/650990450*c_0110_5^5 - 829162164399/325495225*c_0110_5^4 + 276065318079/130198090*c_0110_5^3 - 498012755164/325495225*c_0110_5^2 + 255299184768/325495225*c_0110_5 - 116477470273/650990450, c_0011_0 - 1, c_0011_1 - 4017834/13019809*c_0110_5^10 - 31044885/13019809*c_0110_5^9 + 1979749/13019809*c_0110_5^8 + 13602272/1183619*c_0110_5^7 - 191555966/13019809*c_0110_5^6 - 268859285/13019809*c_0110_5^5 + 534314552/13019809*c_0110_5^4 - 382337507/13019809*c_0110_5^3 + 287461408/13019809*c_0110_5^2 - 121619347/13019809*c_0110_5 + 11865077/13019809, c_0011_3 + 7216347/13019809*c_0110_5^10 + 53341586/13019809*c_0110_5^9 - 22506019/13019809*c_0110_5^8 - 24436101/1183619*c_0110_5^7 + 440016818/13019809*c_0110_5^6 + 374521859/13019809*c_0110_5^5 - 1152117975/13019809*c_0110_5^4 + 1012601147/13019809*c_0110_5^3 - 706614855/13019809*c_0110_5^2 + 373918942/13019809*c_0110_5 - 87756663/13019809, c_0101_0 - 2545403/13019809*c_0110_5^10 - 20062917/13019809*c_0110_5^9 - 2502925/13019809*c_0110_5^8 + 8097140/1183619*c_0110_5^7 - 110219070/13019809*c_0110_5^6 - 165060350/13019809*c_0110_5^5 + 292146254/13019809*c_0110_5^4 - 249015958/13019809*c_0110_5^3 + 206738835/13019809*c_0110_5^2 - 81248756/13019809*c_0110_5 + 20133297/13019809, c_0101_1 - 3415321/13019809*c_0110_5^10 - 27904629/13019809*c_0110_5^9 - 10429423/13019809*c_0110_5^8 + 11281520/1183619*c_0110_5^7 - 111529303/13019809*c_0110_5^6 - 285833368/13019809*c_0110_5^5 + 350637459/13019809*c_0110_5^4 - 161823130/13019809*c_0110_5^3 + 145942571/13019809*c_0110_5^2 - 19446113/13019809*c_0110_5 - 6278115/13019809, c_0110_5^11 + 7*c_0110_5^10 - 6*c_0110_5^9 - 36*c_0110_5^8 + 75*c_0110_5^7 + 28*c_0110_5^6 - 178*c_0110_5^5 + 200*c_0110_5^4 - 153*c_0110_5^3 + 91*c_0110_5^2 - 33*c_0110_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB