Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 2530675387] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0005 geometric_solution 3.52012101 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 -1 0 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 1 0 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855717283213 0.172718559184 0 4 3 5 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548371090677 0.135126056986 6 0 6 0 0132 0132 2310 1023 0 0 0 0 0 1 0 -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 -1 -1 2 0 0 -1 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 0.970730940608 0.522068258534 5 1 5 0 0132 1230 2031 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746037967268 0.090562453196 6 1 6 5 3012 0132 0321 2031 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 1 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855717283213 0.172718559184 3 4 1 3 0132 1302 0132 1302 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 0 -2 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 -0.320949077767 0.160351609807 2 2 4 4 0132 3201 0321 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 1 0 -1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107051136537 1.909456661332 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : d['c_0110_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_4']), '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_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 71/32*c_0110_4^9 + 63/16*c_0110_4^8 - 287/16*c_0110_4^7 + 169/32*c_0110_4^6 - 247/8*c_0110_4^5 - 1153/32*c_0110_4^4 - 539/16*c_0110_4^3 - 823/16*c_0110_4^2 - 1415/32*c_0110_4 - 333/16, c_0011_0 - 1, c_0011_3 + 1/4*c_0110_4^9 - 3/4*c_0110_4^8 + 11/4*c_0110_4^7 - 4*c_0110_4^6 + 15/2*c_0110_4^5 - 23/4*c_0110_4^4 + 29/4*c_0110_4^3 - 9/4*c_0110_4^2 + 2*c_0110_4, c_0101_0 - 1/4*c_0110_4^9 + 3/4*c_0110_4^8 - 11/4*c_0110_4^7 + 4*c_0110_4^6 - 15/2*c_0110_4^5 + 23/4*c_0110_4^4 - 29/4*c_0110_4^3 + 9/4*c_0110_4^2 - 2*c_0110_4, c_0101_1 - c_0110_4, c_0101_3 - 1/16*c_0110_4^9 + 1/8*c_0110_4^8 - 5/8*c_0110_4^7 + 7/16*c_0110_4^6 - 7/4*c_0110_4^5 - 7/16*c_0110_4^4 - 13/8*c_0110_4^3 - 21/8*c_0110_4^2 - 9/16*c_0110_4 - 7/8, c_0101_4 - 1/8*c_0110_4^9 + 3/4*c_0110_4^8 - 11/4*c_0110_4^7 + 51/8*c_0110_4^6 - 21/2*c_0110_4^5 + 97/8*c_0110_4^4 - 39/4*c_0110_4^3 + 21/4*c_0110_4^2 - 13/8*c_0110_4 + 1/4, c_0110_4^10 - 3*c_0110_4^9 + 12*c_0110_4^8 - 17*c_0110_4^7 + 35*c_0110_4^6 - 21*c_0110_4^5 + 35*c_0110_4^4 + 15*c_0110_4^2 + 5*c_0110_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB