Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 1983375965] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0017 geometric_solution 3.57388254 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 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 -0.481717067257 0.089570408879 0 0 1 1 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.737257812723 0.107380349582 0 0 3 3 2310 0132 2310 0132 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 1.439269952561 0.490529324747 4 2 2 5 0132 3201 0132 0132 0 0 0 0 0 0 -1 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 0 -1 1 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 0.981728646729 0.140754760565 3 5 6 5 0132 0321 0132 2031 0 0 0 0 0 -1 0 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 -1 0 1 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 1.002321718105 0.523065769959 6 4 3 4 0132 1302 0132 0321 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 0 0 0 0 0 -1 1 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 1.002321718105 0.523065769959 5 6 6 4 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215862027334 0.409205672209 ==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' : negation(d['1']), 's_1_6' : negation(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_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), '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_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), '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_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_5']), '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_0']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], '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' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 23951/4536*c_0101_4^9 - 5977/432*c_0101_4^8 - 144325/4536*c_0101_4^7 + 851219/9072*c_0101_4^6 + 68836/567*c_0101_4^5 - 1406231/4536*c_0101_4^4 - 133927/504*c_0101_4^3 + 3990275/9072*c_0101_4^2 + 464161/1512*c_0101_4 - 243557/1134, c_0011_0 - 1, c_0011_3 - 1/16*c_0101_4^8 + 1/8*c_0101_4^7 + 5/16*c_0101_4^6 - 5/8*c_0101_4^5 - c_0101_4^4 + 5/4*c_0101_4^3 + 23/16*c_0101_4^2 - 3/4*c_0101_4 - 1/8, c_0011_5 - 1/16*c_0101_4^9 + 1/8*c_0101_4^8 + 3/8*c_0101_4^7 - 3/4*c_0101_4^6 - 23/16*c_0101_4^5 + 17/8*c_0101_4^4 + 41/16*c_0101_4^3 - 2*c_0101_4^2 - 29/16*c_0101_4 + 1, c_0101_0 + 1/8*c_0101_4^6 - 1/4*c_0101_4^5 - 3/8*c_0101_4^4 + c_0101_4^3 + c_0101_4^2 - 3/2*c_0101_4 - 1/8, c_0101_1 - 1/16*c_0101_4^7 + 1/8*c_0101_4^6 + 3/16*c_0101_4^5 - 3/8*c_0101_4^4 - 5/8*c_0101_4^3 + 1/4*c_0101_4^2 + 7/16*c_0101_4 + 3/4, c_0101_2 + 1/16*c_0101_4^7 - 1/8*c_0101_4^6 - 3/16*c_0101_4^5 + 5/8*c_0101_4^4 + 3/8*c_0101_4^3 - 5/4*c_0101_4^2 + 5/16*c_0101_4 + 3/4, c_0101_4^10 - 3*c_0101_4^9 - 5*c_0101_4^8 + 20*c_0101_4^7 + 16*c_0101_4^6 - 67*c_0101_4^5 - 27*c_0101_4^4 + 101*c_0101_4^3 + 24*c_0101_4^2 - 61*c_0101_4 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB