Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 1983376134] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2927 geometric_solution 6.12553579 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 1 0 -1 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014200346988 0.676045751574 0 5 2 6 0132 0132 2031 0132 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109139815803 0.576778492347 5 0 3 1 2310 0132 1302 1302 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 -1 1 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 0.109139815803 0.576778492347 2 4 6 0 2031 2310 3012 0132 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 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743263703166 0.558522933863 6 6 0 3 3012 1023 0132 3201 0 0 0 0 0 0 1 -1 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 -1 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 0.928648983396 1.291420157558 5 1 2 5 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.683271650220 1.673835517543 4 3 1 4 1023 1230 0132 1230 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042652191425 0.771984792824 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : negation(d['c_0011_4']), '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_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0011_3'], '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_4, c_0101_0, c_0101_1, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 41/16*c_0101_5*c_0110_4^8 - 133/32*c_0101_5*c_0110_4^7 - 447/16*c_0101_5*c_0110_4^6 + 213/32*c_0101_5*c_0110_4^5 + 2185/16*c_0101_5*c_0110_4^4 - 1419/32*c_0101_5*c_0110_4^3 + 1669/16*c_0101_5*c_0110_4^2 - 213/32*c_0101_5*c_0110_4 + 49/2*c_0101_5, c_0011_0 - 1, c_0011_3 - 1/8*c_0110_4^7 - 3/16*c_0110_4^6 + 5/8*c_0110_4^5 + 29/16*c_0110_4^4 + 3/8*c_0110_4^3 + 55/16*c_0110_4^2 + 1/8*c_0110_4 + 15/16, c_0011_4 + c_0101_5*c_0110_4^8 + 13/8*c_0101_5*c_0110_4^7 - 97/16*c_0101_5*c_0110_4^6 - 69/4*c_0101_5*c_0110_4^5 + 21/16*c_0101_5*c_0110_4^4 - 63/8*c_0101_5*c_0110_4^3 + 29/16*c_0101_5*c_0110_4^2 - 3/2*c_0101_5*c_0110_4 + 15/16*c_0101_5, c_0101_0 - c_0101_5*c_0110_4^8 - 3/2*c_0101_5*c_0110_4^7 + 6*c_0101_5*c_0110_4^6 + 16*c_0101_5*c_0110_4^5 - 2*c_0101_5*c_0110_4^4 + 13*c_0101_5*c_0110_4^3 - 2*c_0101_5*c_0110_4^2 + 7/2*c_0101_5*c_0110_4 - c_0101_5, c_0101_1 + c_0110_4, c_0101_5^2 - 1/8*c_0110_4^7 - 3/16*c_0110_4^6 + 5/8*c_0110_4^5 + 29/16*c_0110_4^4 + 3/8*c_0110_4^3 + 55/16*c_0110_4^2 + 1/8*c_0110_4 - 1/16, c_0110_4^9 + 3/2*c_0110_4^8 - 6*c_0110_4^7 - 16*c_0110_4^6 + 2*c_0110_4^5 - 13*c_0110_4^4 + 2*c_0110_4^3 - 4*c_0110_4^2 + c_0110_4 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB