Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 290491868] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0355 geometric_solution 4.38111057 oriented_manifold CS_known -0.0000000000000001 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 0 1 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014753225627 1.076863947697 0 1 1 3 0132 3201 2310 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.343784401039 1.089627685626 4 0 4 0 0132 0132 1023 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 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708032554874 0.238193662937 5 5 1 0 0132 2310 1230 0132 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 1 -1 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 -0.012719903079 0.928448150334 2 6 2 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785577328064 0.099164986752 3 6 6 3 0132 2031 3120 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.268770225195 0.426834931932 5 4 5 4 1302 0132 3120 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785577328064 0.099164986752 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0101_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(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_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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' : negation(d['c_0110_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : 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' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 671379/53401*c_0110_6^9 + 359129/53401*c_0110_6^8 + 3886775/53401*c_0110_6^7 - 3934283/53401*c_0110_6^6 - 6588647/53401*c_0110_6^5 + 3630004/53401*c_0110_6^4 + 1143943/53401*c_0110_6^3 - 3804017/53401*c_0110_6^2 - 2989086/53401*c_0110_6 - 996317/53401, c_0011_0 - 1, c_0011_3 + 13917/106802*c_0110_6^9 - 29630/53401*c_0110_6^8 - 2655/53401*c_0110_6^7 + 153820/53401*c_0110_6^6 - 182814/53401*c_0110_6^5 - 126567/106802*c_0110_6^4 + 131769/53401*c_0110_6^3 + 11965/53401*c_0110_6^2 - 209841/106802*c_0110_6 - 13181/53401, c_0101_0 + 20352/53401*c_0110_6^9 - 29818/53401*c_0110_6^8 - 88874/53401*c_0110_6^7 + 398101/106802*c_0110_6^6 + 43065/106802*c_0110_6^5 - 240343/106802*c_0110_6^4 + 15869/53401*c_0110_6^3 + 169919/53401*c_0110_6^2 + 13181/53401*c_0110_6 - 4639/106802, c_0101_1 - 26013/106802*c_0110_6^9 + 107209/106802*c_0110_6^8 + 7403/53401*c_0110_6^7 - 571285/106802*c_0110_6^6 + 657871/106802*c_0110_6^5 + 119524/53401*c_0110_6^4 - 473979/106802*c_0110_6^3 + 35526/53401*c_0110_6^2 + 137019/106802*c_0110_6 + 23820/53401, c_0101_2 + c_0110_6, c_0101_4 - 13917/106802*c_0110_6^9 + 29630/53401*c_0110_6^8 + 2655/53401*c_0110_6^7 - 153820/53401*c_0110_6^6 + 182814/53401*c_0110_6^5 + 126567/106802*c_0110_6^4 - 131769/53401*c_0110_6^3 - 11965/53401*c_0110_6^2 + 209841/106802*c_0110_6 + 13181/53401, c_0110_6^10 - 4/3*c_0110_6^9 - 14/3*c_0110_6^8 + 28/3*c_0110_6^7 + 7/3*c_0110_6^6 - 6*c_0110_6^5 + 5/3*c_0110_6^4 + 4*c_0110_6^3 + 5/3*c_0110_6^2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB