Magma V2.19-8 Tue Aug 20 2013 23:26:31 on localhost [Seed = 1242311527] Type ? for help. Type -D to quit. Loading file "K12n235__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n235 geometric_solution 4.85466334 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 0321 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 1 0 -1 0 0 9 0 -9 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316319749698 1.292101515494 0 2 3 4 0132 3201 1023 0132 0 0 0 0 0 -1 0 1 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 -9 1 8 -1 0 1 0 9 -1 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329262926946 0.183671156350 5 0 1 5 0132 0132 2310 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.156624001366 0.813900722534 4 0 1 0 3201 0321 1023 0132 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 1 -1 0 0 0 -1 1 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178753683614 0.730172256768 6 6 1 3 0132 2310 0132 2310 0 0 0 0 0 1 -1 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 8 -8 0 0 0 0 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296780461836 0.912320080828 2 2 6 6 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.623905035628 1.240584005508 4 5 5 4 0132 3201 0132 3201 0 0 0 0 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 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.395974553667 0.449816771636 ==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' : negation(d['1']), 's_2_0' : negation(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' : 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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_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_4, c_0101_0, c_0101_2, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 103/8*c_1001_0^8 - 91/8*c_1001_0^7 - 605/8*c_1001_0^6 + 73/8*c_1001_0^5 + 55/8*c_1001_0^4 - 1049/8*c_1001_0^3 + 479/4*c_1001_0^2 - 497/8*c_1001_0 + 95/8, c_0011_0 - 1, c_0011_3 + 11/4*c_1001_0^8 + 5/4*c_1001_0^7 + 65/4*c_1001_0^6 - 39/4*c_1001_0^5 + 29/4*c_1001_0^4 + 63/4*c_1001_0^3 - 37/2*c_1001_0^2 + 45/4*c_1001_0 - 9/4, c_0011_4 + 7/4*c_1001_0^8 - 3/4*c_1001_0^7 + 37/4*c_1001_0^6 - 63/4*c_1001_0^5 + 29/4*c_1001_0^4 + 23/4*c_1001_0^3 - 45/2*c_1001_0^2 + 61/4*c_1001_0 - 25/4, c_0101_0 - 1/2*c_1001_0^8 + 3/2*c_1001_0^7 - 3/2*c_1001_0^6 + 25/2*c_1001_0^5 - 7/2*c_1001_0^4 + 1/2*c_1001_0^3 + 14*c_1001_0^2 - 19/2*c_1001_0 + 9/2, c_0101_2 + 1/4*c_1001_0^8 + 1/4*c_1001_0^7 + 7/4*c_1001_0^6 + 1/4*c_1001_0^5 + 7/4*c_1001_0^4 + 11/4*c_1001_0^3 + 1/2*c_1001_0^2 + 7/4*c_1001_0 - 1/4, c_0101_5 - 3/4*c_1001_0^8 + 1/4*c_1001_0^7 - 17/4*c_1001_0^6 + 25/4*c_1001_0^5 - 17/4*c_1001_0^4 - 5/4*c_1001_0^3 + 19/2*c_1001_0^2 - 29/4*c_1001_0 + 15/4, c_1001_0^9 + 6*c_1001_0^7 - 6*c_1001_0^6 + 6*c_1001_0^5 + 4*c_1001_0^4 - 9*c_1001_0^3 + 9*c_1001_0^2 - 4*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB