Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 543276383] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2955 geometric_solution 6.14366459 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348337847079 0.614243021719 3 4 5 0 0132 0132 0132 0132 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 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 0.697828617125 1.021951620501 3 5 0 5 3012 3012 0132 1302 0 0 0 0 0 -1 1 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 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 -0.048556936428 1.167653614771 1 6 6 2 0132 0132 3201 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 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 0.386845746239 0.291829493521 5 1 6 6 1230 0132 3120 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078656747259 1.665777867130 2 4 2 1 1230 3012 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 -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 0.757110500287 0.564498649722 3 3 4 4 2310 0132 3120 0213 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 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 1.078656747259 1.665777867130 ==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' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 43/20*c_0101_6^5 - 37/5*c_0101_6^4 - 53/4*c_0101_6^3 + 31/20*c_0101_6^2 - 2/5*c_0101_6 + 15/4, c_0011_0 - 1, c_0011_1 - 1/2*c_0101_6^5 + 3/2*c_0101_6^4 + 4*c_0101_6^3 + 1/2*c_0101_6^2 - 1/2*c_0101_6, c_0011_2 - 3/2*c_0101_6^5 + 5*c_0101_6^4 + 19/2*c_0101_6^3 + 1/2*c_0101_6^2 + 3*c_0101_6 - 1/2, c_0101_2 - 1/2*c_0101_6^4 + 3/2*c_0101_6^3 + 4*c_0101_6^2 + 1/2*c_0101_6 + 1/2, c_0101_4 + c_0101_6, c_0101_5 + 1/2*c_0101_6^5 - 1/2*c_0101_6^4 - 7*c_0101_6^3 - 15/2*c_0101_6^2 - 5/2*c_0101_6 - 3, c_0101_6^6 - 3*c_0101_6^5 - 7*c_0101_6^4 - 4*c_0101_6^3 - 5*c_0101_6^2 - c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 2444/479*c_0101_6^8 - 129/958*c_0101_6^7 - 25659/958*c_0101_6^6 - 11105/958*c_0101_6^5 - 17069/958*c_0101_6^4 + 12503/958*c_0101_6^3 + 54589/958*c_0101_6^2 + 6140/479*c_0101_6 - 39509/958, c_0011_0 - 1, c_0011_1 + 485/1916*c_0101_6^8 + 263/958*c_0101_6^7 + 708/479*c_0101_6^6 + 1018/479*c_0101_6^5 + 2287/958*c_0101_6^4 + 598/479*c_0101_6^3 - 3655/1916*c_0101_6^2 - 5317/1916*c_0101_6 + 151/1916, c_0011_2 + 473/958*c_0101_6^8 + 216/479*c_0101_6^7 + 1458/479*c_0101_6^6 + 1796/479*c_0101_6^5 + 2503/479*c_0101_6^4 + 1678/479*c_0101_6^3 - 3051/958*c_0101_6^2 - 3305/958*c_0101_6 - 151/958, c_0101_2 - 41/1916*c_0101_6^8 + 39/958*c_0101_6^7 - 48/479*c_0101_6^6 + 69/479*c_0101_6^5 + 259/958*c_0101_6^4 + 65/479*c_0101_6^3 + 2383/1916*c_0101_6^2 - 151/1916*c_0101_6 + 485/1916, c_0101_4 + c_0101_6, c_0101_5 - 65/1916*c_0101_6^8 - 55/958*c_0101_6^7 - 6/479*c_0101_6^6 - 171/479*c_0101_6^5 + 691/958*c_0101_6^4 + 68/479*c_0101_6^3 + 3591/1916*c_0101_6^2 + 41/1916*c_0101_6 - 2035/1916, c_0101_6^9 + c_0101_6^8 + 6*c_0101_6^7 + 8*c_0101_6^6 + 10*c_0101_6^5 + 6*c_0101_6^4 - 7*c_0101_6^3 - 10*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB