Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 2648441329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s801 geometric_solution 5.34937425 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 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 -1 0 1 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 0.595165245972 0.429391067795 0 4 5 2 0132 0132 0132 3012 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 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 0.873481233806 0.537792753077 5 0 1 0 2310 0132 1230 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 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 1.162423502679 1.232933348926 4 4 0 5 2031 3012 0132 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 -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 0.862723165306 1.616527299052 3 1 3 5 1230 0132 1302 1230 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 0 0 0.743042275874 0.481474466499 4 3 2 1 3012 1302 3201 0132 0 0 0 0 0 1 0 -1 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 -1 0 0 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 0.320294161845 0.715511766725 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_4' : 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_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_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' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 153/368*c_0101_5^8 + 17/184*c_0101_5^7 - 431/368*c_0101_5^6 - 313/184*c_0101_5^5 + 1075/368*c_0101_5^4 + 351/368*c_0101_5^3 - 627/368*c_0101_5^2 - 127/92*c_0101_5 + 181/92, c_0011_0 - 1, c_0011_3 - 49/46*c_0101_5^8 - 31/23*c_0101_5^7 + 77/46*c_0101_5^6 + 150/23*c_0101_5^5 + 15/46*c_0101_5^4 - 61/46*c_0101_5^3 - 31/46*c_0101_5^2 - 55/23*c_0101_5 - 169/23, c_0101_0 + 24/23*c_0101_5^8 + 49/46*c_0101_5^7 - 41/23*c_0101_5^6 - 269/46*c_0101_5^5 + 18/23*c_0101_5^4 + 33/46*c_0101_5^3 + 13/46*c_0101_5^2 + 81/46*c_0101_5 + 151/23, c_0101_1 - 57/92*c_0101_5^8 - 37/46*c_0101_5^7 + 83/92*c_0101_5^6 + 159/46*c_0101_5^5 + 9/92*c_0101_5^4 - 55/92*c_0101_5^3 + 55/92*c_0101_5^2 - 28/23*c_0101_5 - 76/23, c_0101_2 + 57/92*c_0101_5^8 + 37/46*c_0101_5^7 - 83/92*c_0101_5^6 - 159/46*c_0101_5^5 - 9/92*c_0101_5^4 + 55/92*c_0101_5^3 - 55/92*c_0101_5^2 + 28/23*c_0101_5 + 76/23, c_0101_5^9 - 3*c_0101_5^7 - 4*c_0101_5^6 + 7*c_0101_5^5 + c_0101_5^4 - c_0101_5^3 + 2*c_0101_5^2 + 4*c_0101_5 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB