Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 863153666] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2805 geometric_solution 6.03553746 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 1 0 0 -1 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 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 0.185103981742 1.598694856043 0 3 5 4 0132 0132 0132 0132 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 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 0.286582257548 1.080117366912 3 0 4 5 0132 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286582257548 1.080117366912 2 1 6 6 0132 0132 0132 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 -1 1 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 -0.294735676803 0.400884702361 4 2 1 4 3012 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765555704191 0.601464668161 5 5 2 1 1302 2031 0132 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 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 0.631894846262 1.106427165567 3 6 6 3 3201 3201 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 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 -0.640032294122 1.264958099452 ==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_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), '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_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_2'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 450783021647808/1087574591*c_0101_2^13 + 2049334616368959/1087574591*c_0101_2^11 - 3621942387049933/1087574591*c_0101_2^9 + 3006892108878527/1087574591*c_0101_2^7 - 1081493255528378/1087574591*c_0101_2^5 + 99048970983855/1087574591*c_0101_2^3 - 3093654268597/1087574591*c_0101_2, c_0011_0 - 1, c_0011_4 + 5352653402739/1087574591*c_0101_2^13 - 24414383883837/1087574591*c_0101_2^11 + 43371921034679/1087574591*c_0101_2^9 - 36341200086304/1087574591*c_0101_2^7 + 13352294849649/1087574591*c_0101_2^5 - 1339612722684/1087574591*c_0101_2^3 + 41431279179/1087574591*c_0101_2, c_0011_5 - 111965743791/1087574591*c_0101_2^13 + 505541327448/1087574591*c_0101_2^11 - 883876646072/1087574591*c_0101_2^9 + 730434267130/1087574591*c_0101_2^7 - 274693612636/1087574591*c_0101_2^5 + 39853088890/1087574591*c_0101_2^3 - 4852051658/1087574591*c_0101_2, c_0011_6 - 774395730/1087574591*c_0101_2^12 + 8345769234/1087574591*c_0101_2^10 - 22808723284/1087574591*c_0101_2^8 + 30185355599/1087574591*c_0101_2^6 - 21444407413/1087574591*c_0101_2^4 + 5774340736/1087574591*c_0101_2^2 + 259147637/1087574591, c_0101_0 + 1063041026139/1087574591*c_0101_2^12 - 4900299163218/1087574591*c_0101_2^10 + 8793173743347/1087574591*c_0101_2^8 - 7443412077238/1087574591*c_0101_2^6 + 2768091643040/1087574591*c_0101_2^4 - 284797079778/1087574591*c_0101_2^2 + 9141577873/1087574591, c_0101_1 + 1719695096496/1087574591*c_0101_2^12 - 7845208204299/1087574591*c_0101_2^10 + 13931514388516/1087574591*c_0101_2^8 - 11655663619805/1087574591*c_0101_2^6 + 4261271198402/1087574591*c_0101_2^4 - 416474997730/1087574591*c_0101_2^2 + 12155254479/1087574591, c_0101_2^14 - 235/51*c_0101_2^12 + 21622/2601*c_0101_2^10 - 18619/2601*c_0101_2^8 + 7286/2601*c_0101_2^6 - 944/2601*c_0101_2^4 + 1/51*c_0101_2^2 - 1/2601 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB