Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 880126600] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m238 geometric_solution 4.18623155 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 2310 0132 0132 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 1 0 -1 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 -0.536579194245 0.794058060985 0 1 1 0 0132 3201 2310 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.479180854206 0.902130665062 3 3 4 0 1023 2031 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304824368418 0.609542294032 2 2 0 4 1302 1023 0132 2310 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 0.304824368418 0.609542294032 3 4 4 2 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 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 0.869442043212 1.220929184392 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 128528/16993*c_0101_4^8 - 657168/16993*c_0101_4^7 - 1212402/16993*c_0101_4^6 - 488191/16993*c_0101_4^5 - 150364/16993*c_0101_4^4 - 337113/16993*c_0101_4^3 + 1278683/16993*c_0101_4^2 + 846703/16993*c_0101_4 - 487804/16993, c_0011_0 - 1, c_0011_2 - 22864/16993*c_0101_4^8 - 91490/16993*c_0101_4^7 - 114989/16993*c_0101_4^6 + 37420/16993*c_0101_4^5 - 70717/16993*c_0101_4^4 + 26855/16993*c_0101_4^3 + 206249/16993*c_0101_4^2 - 66347/16993*c_0101_4 - 7493/16993, c_0011_4 - 51892/16993*c_0101_4^8 - 230138/16993*c_0101_4^7 - 358700/16993*c_0101_4^6 - 65464/16993*c_0101_4^5 - 189868/16993*c_0101_4^4 - 42658/16993*c_0101_4^3 + 435159/16993*c_0101_4^2 + 11153/16993*c_0101_4 - 21070/16993, c_0101_0 + 3376/16993*c_0101_4^8 + 7920/16993*c_0101_4^7 - 9028/16993*c_0101_4^6 - 47764/16993*c_0101_4^5 + 988/16993*c_0101_4^4 - 22635/16993*c_0101_4^3 - 46662/16993*c_0101_4^2 + 58968/16993*c_0101_4 + 4876/16993, c_0101_4^9 + 11/2*c_0101_4^8 + 23/2*c_0101_4^7 + 8*c_0101_4^6 + 4*c_0101_4^5 + 9/2*c_0101_4^4 - 8*c_0101_4^3 - 19/2*c_0101_4^2 + c_0101_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB