Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2378961247] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1283 geometric_solution 5.17753257 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.464215424197 0.418086671579 0 3 2 4 0132 0132 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 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810595864934 1.071213902150 3 0 4 1 3201 0132 2310 3012 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 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 0 0 0 0 0.810595864934 1.071213902150 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.261360919536 0.904825109927 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692689940641 0.479801670346 4 6 6 4 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.332036387625 0.383594174815 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.579983081649 0.172105245661 ==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' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : 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_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(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' : d['c_0101_0'], '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_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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: 18 Groebner basis: [ t + 13*c_0101_5*c_0101_6^8 - 39*c_0101_5*c_0101_6^7 + 38*c_0101_5*c_0101_6^6 - 101*c_0101_5*c_0101_6^5 + 114*c_0101_5*c_0101_6^4 + 255*c_0101_5*c_0101_6^3 - 243*c_0101_5*c_0101_6^2 - 188*c_0101_5*c_0101_6 + 18*c_0101_5, c_0011_0 - 1, c_0011_4 - 118/2833*c_0101_5*c_0101_6^8 + 928/2833*c_0101_5*c_0101_6^7 - 1555/2833*c_0101_5*c_0101_6^6 + 2410/2833*c_0101_5*c_0101_6^5 - 6495/2833*c_0101_5*c_0101_6^4 + 110/2833*c_0101_5*c_0101_6^3 + 7495/2833*c_0101_5*c_0101_6^2 + 1136/2833*c_0101_5*c_0101_6 + 2877/2833*c_0101_5, c_0101_0 - 274/2833*c_0101_6^8 - 246/2833*c_0101_6^7 + 1383/2833*c_0101_6^6 - 358/2833*c_0101_6^5 + 6478/2833*c_0101_6^4 - 9444/2833*c_0101_6^3 - 7085/2833*c_0101_6^2 + 5951/2833*c_0101_6 - 378/2833, c_0101_1 - 44/2833*c_0101_6^8 + 250/2833*c_0101_6^7 - 1060/2833*c_0101_6^6 + 1907/2833*c_0101_6^5 - 2806/2833*c_0101_6^4 + 5659/2833*c_0101_6^3 + 682/2833*c_0101_6^2 - 6923/2833*c_0101_6 - 1136/2833, c_0101_2 + 260/2833*c_0101_5*c_0101_6^8 + 68/2833*c_0101_5*c_0101_6^7 - 175/2833*c_0101_5*c_0101_6^6 - 1997/2833*c_0101_5*c_0101_6^5 - 2735/2833*c_0101_5*c_0101_6^4 + 814/2833*c_0101_5*c_0101_6^3 + 10135/2833*c_0101_5*c_0101_6^2 + 3307/2833*c_0101_5*c_0101_6 - 3074/2833*c_0101_5, c_0101_5^2 - 318/2833*c_0101_6^8 + 4/2833*c_0101_6^7 + 323/2833*c_0101_6^6 + 1549/2833*c_0101_6^5 + 3672/2833*c_0101_6^4 - 3785/2833*c_0101_6^3 - 9236/2833*c_0101_6^2 - 972/2833*c_0101_6 - 1514/2833, c_0101_6^9 - 3*c_0101_6^8 + 3*c_0101_6^7 - 8*c_0101_6^6 + 9*c_0101_6^5 + 19*c_0101_6^4 - 18*c_0101_6^3 - 13*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB