Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 1360055730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2078 geometric_solution 5.59221775 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 -1 0 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 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 -0.156709561830 0.414838801843 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796899387079 2.109538071994 0 0 5 5 2310 0132 2310 0132 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 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 0.796899387079 2.109538071994 4 6 1 5 1023 0132 0132 2310 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 0 0 0 -1 0 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 0.063992817547 1.098861072158 6 3 5 1 3201 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 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 0.063992817547 1.098861072158 3 2 2 4 3201 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 0.367964124106 0.164039501858 6 3 6 4 2031 0132 1302 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 0.374970555871 0.857399962256 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : 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' : negation(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' : 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' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(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_0101_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_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_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 986124734464/11080477595*c_0101_4^12 - 12607464448/19005965*c_0101_4^10 - 13601123857408/11080477595*c_0101_4^8 - 2058316990016/2216095519*c_0101_4^6 - 3567508075936/11080477595*c_0101_4^4 - 5018382208/91574195*c_0101_4^2 + 10023309884/2216095519, c_0011_0 - 1, c_0011_3 - 979346176/91574195*c_0101_4^13 - 133532096/1727815*c_0101_4^11 - 11974495776/91574195*c_0101_4^9 - 7977440828/91574195*c_0101_4^7 - 2204055132/91574195*c_0101_4^5 + 34830957/91574195*c_0101_4^3 + 60346046/18314839*c_0101_4, c_0011_5 - 1108680704/91574195*c_0101_4^12 - 154174976/1727815*c_0101_4^10 - 14539207936/91574195*c_0101_4^8 - 9888086176/91574195*c_0101_4^6 - 2571014672/91574195*c_0101_4^4 - 5085054/18314839*c_0101_4^2 + 52415543/18314839, c_0101_0 + 454272128/91574195*c_0101_4^12 + 64411232/1727815*c_0101_4^10 + 6393719392/91574195*c_0101_4^8 + 4574412322/91574195*c_0101_4^6 + 1121578729/91574195*c_0101_4^4 - 30766513/36629678*c_0101_4^2 - 127297517/73259356, c_0101_1 - 223346688/91574195*c_0101_4^13 - 32528384/1727815*c_0101_4^11 - 3580821504/91574195*c_0101_4^9 - 3467879936/91574195*c_0101_4^7 - 1486032848/91574195*c_0101_4^5 - 161696628/91574195*c_0101_4^3 + 549741/18314839*c_0101_4, c_0101_2 + 223346688/91574195*c_0101_4^13 + 32528384/1727815*c_0101_4^11 + 3580821504/91574195*c_0101_4^9 + 3467879936/91574195*c_0101_4^7 + 1486032848/91574195*c_0101_4^5 + 161696628/91574195*c_0101_4^3 - 549741/18314839*c_0101_4, c_0101_4^14 + 33/4*c_0101_4^12 + 157/8*c_0101_4^10 + 1321/64*c_0101_4^8 + 667/64*c_0101_4^6 + 275/128*c_0101_4^4 - 75/256*c_0101_4^2 - 275/1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB