Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 4273955379] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0363 geometric_solution 4.40770663 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 -1 0 1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401435790011 0.543004472030 0 3 1 1 0132 0132 1230 3012 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 1 0 -2 1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203909511677 0.480561728086 0 0 4 4 2310 0132 2310 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.343818785351 1.928397518120 5 1 0 5 0132 0132 0132 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401435790011 0.543004472030 6 2 2 6 0132 3201 0132 3201 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 -0.224762472114 0.144413351838 3 3 6 6 0132 2310 2031 1302 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 2.343818785351 1.928397518120 4 4 5 5 0132 2310 2031 1302 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 4.149107639004 2.023350184618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(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_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 330205/4271*c_0101_6^9 + 531076/4271*c_0101_6^8 - 1246613/4271*c_0101_6^7 - 2495978/4271*c_0101_6^6 + 2587417/4271*c_0101_6^5 + 3525498/4271*c_0101_6^4 - 2874115/4271*c_0101_6^3 - 1158585/4271*c_0101_6^2 + 539058/4271*c_0101_6 + 212947/4271, c_0011_0 - 1, c_0011_4 + c_0101_6, c_0101_0 - 6625/4271*c_0101_6^9 - 39720/4271*c_0101_6^8 - 51399/4271*c_0101_6^7 + 79536/4271*c_0101_6^6 + 195757/4271*c_0101_6^5 - 31997/4271*c_0101_6^4 - 190049/4271*c_0101_6^3 + 3015/4271*c_0101_6^2 + 38156/4271*c_0101_6 + 10120/4271, c_0101_1 - 11345/4271*c_0101_6^9 - 24809/4271*c_0101_6^8 + 35312/4271*c_0101_6^7 + 127405/4271*c_0101_6^6 - 10317/4271*c_0101_6^5 - 175242/4271*c_0101_6^4 - 26928/4271*c_0101_6^3 + 57511/4271*c_0101_6^2 + 13737/4271*c_0101_6 - 3477/4271, c_0101_2 + 735/4271*c_0101_6^9 + 732/4271*c_0101_6^8 - 8458/4271*c_0101_6^7 - 19213/4271*c_0101_6^6 + 4066/4271*c_0101_6^5 + 35368/4271*c_0101_6^4 + 8536/4271*c_0101_6^3 - 10875/4271*c_0101_6^2 + 1382/4271*c_0101_6 - 2122/4271, c_0101_5 - 735/4271*c_0101_6^9 - 732/4271*c_0101_6^8 + 8458/4271*c_0101_6^7 + 19213/4271*c_0101_6^6 - 4066/4271*c_0101_6^5 - 35368/4271*c_0101_6^4 - 8536/4271*c_0101_6^3 + 10875/4271*c_0101_6^2 - 1382/4271*c_0101_6 + 2122/4271, c_0101_6^10 + 11/5*c_0101_6^9 - 13/5*c_0101_6^8 - 47/5*c_0101_6^7 + 12/5*c_0101_6^6 + 64/5*c_0101_6^5 - 8/5*c_0101_6^4 - 26/5*c_0101_6^3 - 2/5*c_0101_6^2 + 4/5*c_0101_6 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB