Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 2564359597] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2775 geometric_solution 6.00712400 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 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 -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 0.713018457545 0.667705276858 0 4 3 5 0132 0132 0321 0132 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451293216605 0.557084730084 6 0 0 5 0132 0132 2031 2103 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 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 0.916255211934 0.541196194376 5 6 1 0 0132 3201 0321 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 0.612221023097 0.317629425318 4 1 4 6 2031 0132 1302 1023 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 1 -1 -1 0 1 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 0.665819856469 0.424117067426 3 6 1 2 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122012944622 1.083803531198 2 5 3 4 0132 0132 2310 1023 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 -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 0.952774453940 0.415626903064 ==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' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(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' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 35103314/1947065*c_1001_0^10 + 73291574/1947065*c_1001_0^9 + 106730399/3894130*c_1001_0^8 - 329527697/3894130*c_1001_0^7 + 29011811/389413*c_1001_0^6 - 352588461/3894130*c_1001_0^5 - 92584353/3894130*c_1001_0^4 + 344421819/3894130*c_1001_0^3 - 118696069/3894130*c_1001_0^2 + 72623712/1947065*c_1001_0 - 496737/1947065, c_0011_0 - 1, c_0101_0 - 2300/16931*c_1001_0^10 - 28028/16931*c_1001_0^9 + 51273/16931*c_1001_0^8 + 44149/16931*c_1001_0^7 - 102578/16931*c_1001_0^6 + 124199/16931*c_1001_0^5 - 102005/16931*c_1001_0^4 - 65071/16931*c_1001_0^3 + 103564/16931*c_1001_0^2 - 59805/16931*c_1001_0 + 16901/16931, c_0101_1 - 1856/16931*c_1001_0^10 - 4008/16931*c_1001_0^9 + 8632/16931*c_1001_0^8 + 14838/16931*c_1001_0^7 - 15582/16931*c_1001_0^6 - 4484/16931*c_1001_0^5 + 12500/16931*c_1001_0^4 - 30455/16931*c_1001_0^3 + 12432/16931*c_1001_0^2 + 20789/16931*c_1001_0 - 9005/16931, c_0101_2 - 15044/16931*c_1001_0^10 - 16432/16931*c_1001_0^9 + 85439/16931*c_1001_0^8 + 32040/16931*c_1001_0^7 - 87404/16931*c_1001_0^6 + 49915/16931*c_1001_0^5 - 135568/16931*c_1001_0^4 - 39123/16931*c_1001_0^3 + 103688/16931*c_1001_0^2 - 4561/16931*c_1001_0 + 16882/16931, c_0101_6 + 34928/16931*c_1001_0^10 - 51848/16931*c_1001_0^9 - 58524/16931*c_1001_0^8 + 120978/16931*c_1001_0^7 - 143174/16931*c_1001_0^6 + 108905/16931*c_1001_0^5 + 79446/16931*c_1001_0^4 - 115639/16931*c_1001_0^3 + 83061/16931*c_1001_0^2 - 20351/16931*c_1001_0 - 17506/16931, c_0110_4 + 49208/16931*c_1001_0^10 - 97492/16931*c_1001_0^9 - 71810/16931*c_1001_0^8 + 216555/16931*c_1001_0^7 - 201500/16931*c_1001_0^6 + 227184/16931*c_1001_0^5 + 35524/16931*c_1001_0^4 - 203957/16931*c_1001_0^3 + 84325/16931*c_1001_0^2 - 61273/16931*c_1001_0 + 15070/16931, c_1001_0^11 - 3*c_1001_0^10 + 1/4*c_1001_0^9 + 25/4*c_1001_0^8 - 8*c_1001_0^7 + 33/4*c_1001_0^6 - 3*c_1001_0^5 - 25/4*c_1001_0^4 + 21/4*c_1001_0^3 - 11/4*c_1001_0^2 + 3/2*c_1001_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB