Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 1048552206] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2671 geometric_solution 5.93631353 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 1 0 -1 0 0 -1 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 0.011838710274 1.254456020161 0 4 0 5 0132 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992477627519 0.797087286235 4 5 6 0 3012 1302 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 0 0 -1 0 0 1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.067942922763 0.346509791388 4 6 0 5 0213 2031 0132 3201 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 -2 1 1 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 0.264486160451 1.079619641501 3 1 6 2 0213 0132 3012 1230 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 -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 0 0 0.344043301968 0.379546556582 6 3 1 2 2310 2310 0132 2031 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197230941693 0.581394401171 3 4 5 2 1302 1230 3201 0132 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 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588611977214 1.407834902522 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), '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' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], '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_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_2, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4309571/17939*c_0101_2^8 + 6067555/35878*c_0101_2^7 + 2350963/35878*c_0101_2^6 - 987563/17939*c_0101_2^5 - 5835553/35878*c_0101_2^4 + 1441379/17939*c_0101_2^3 + 7808343/35878*c_0101_2^2 - 8280001/35878*c_0101_2 + 4655741/35878, c_0011_0 - 1, c_0011_2 + 52710/17939*c_0101_2^8 - 21904/17939*c_0101_2^7 - 42820/17939*c_0101_2^6 + 8283/17939*c_0101_2^5 + 52109/17939*c_0101_2^4 + 11354/17939*c_0101_2^3 - 70020/17939*c_0101_2^2 + 38454/17939*c_0101_2 + 2336/17939, c_0011_3 + 41958/17939*c_0101_2^8 - 7230/17939*c_0101_2^7 - 32656/17939*c_0101_2^6 - 4170/17939*c_0101_2^5 + 42423/17939*c_0101_2^4 + 3692/17939*c_0101_2^3 - 34296/17939*c_0101_2^2 + 12185/17939*c_0101_2 + 14281/17939, c_0011_5 - 5985/17939*c_0101_2^8 - 8019/17939*c_0101_2^7 - 26156/17939*c_0101_2^6 + 8029/17939*c_0101_2^5 + 8413/17939*c_0101_2^4 + 4214/17939*c_0101_2^3 - 26784/17939*c_0101_2^2 - 3866/17939*c_0101_2 + 7525/17939, c_0011_6 - 5985/17939*c_0101_2^8 - 8019/17939*c_0101_2^7 - 26156/17939*c_0101_2^6 + 8029/17939*c_0101_2^5 + 8413/17939*c_0101_2^4 + 4214/17939*c_0101_2^3 - 26784/17939*c_0101_2^2 - 3866/17939*c_0101_2 + 7525/17939, c_0101_0 - 52675/17939*c_0101_2^8 + 28560/17939*c_0101_2^7 + 30594/17939*c_0101_2^6 + 18631/17939*c_0101_2^5 - 45654/17939*c_0101_2^4 - 888/17939*c_0101_2^3 + 48461/17939*c_0101_2^2 - 10841/17939*c_0101_2 + 977/17939, c_0101_2^9 - 3/7*c_0101_2^8 - 3/7*c_0101_2^7 + 1/7*c_0101_2^6 + 5/7*c_0101_2^5 - 1/7*c_0101_2^4 - c_0101_2^3 + 5/7*c_0101_2^2 - 2/7*c_0101_2 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB