Magma V2.19-8 Tue Aug 20 2013 23:29:42 on localhost [Seed = 2177361875] Type ? for help. Type -D to quit. Loading file "K12n474__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n474 geometric_solution 7.64480146 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958521692318 0.909247838198 0 5 5 4 0132 0132 1023 1230 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 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091221644478 0.978246886642 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 0 0 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 1 0 -1 0 16 -16 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.140519263778 0.559057276819 6 8 7 0 2103 1230 1230 0132 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 1 0 -1 0 0 0 0 0 -16 0 16 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138220523237 0.524484098348 1 6 0 7 3012 2310 0132 0321 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 15 1 -16 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 0.688381048035 0.508087512363 6 1 1 8 1023 0132 1023 3201 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 -15 0 15 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666841081832 0.811301141275 2 5 3 4 0132 1023 2103 3201 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 0 0 0 -1 0 0 1 15 0 0 -15 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.425866796444 0.739259623332 8 4 2 3 0132 0321 0132 3012 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 16 0 -16 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 -0.685738750174 0.978825154716 7 5 3 2 0132 2310 3012 0132 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 0 0 0 0 0 0 -1 1 0 15 0 -15 -1 -15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420021641223 0.657730514497 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_3']), 's_2_8' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : negation(d['c_1001_3']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_0110_5']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_2, c_0101_8, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 12865/836*c_0110_5*c_1001_3 + 33681/836*c_0110_5 + 17779/836*c_1001_3 + 23273/418, c_0011_0 - 1, c_0011_3 - c_0110_5 + 2*c_1001_3 + 2, c_0011_4 + 2*c_1001_3, c_0011_7 + 2*c_1001_3 + 1, c_0101_1 + c_0110_5*c_1001_3 + 2*c_0110_5 + 2*c_1001_3, c_0101_2 + c_1001_3 + 1, c_0101_8 + c_0110_5 - c_1001_3 - 1, c_0110_5^2 - 2*c_0110_5*c_1001_3 - 2*c_0110_5 - 7*c_1001_3 - 2, c_1001_3^2 + 3*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB