Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1831661936] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s685 geometric_solution 5.18293357 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 -1 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438330781096 0.319366984279 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 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 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 1.071402818633 0.766438317453 1 4 5 3 0132 0132 0132 2310 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 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 0.326944746683 0.830886538119 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.326944746683 0.830886538119 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.176871076826 0.886916213657 5 3 5 2 2310 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 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 -0.410082746574 1.042170694284 ==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' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 113/112*c_0101_4^5 + 1177/56*c_0101_4^3 - 507/16*c_0101_4, c_0011_0 - 1, c_0011_1 + 1/16*c_0101_4^4 - 11/8*c_0101_4^2 + 9/16, c_0011_3 + 1/16*c_0101_4^5 - 11/8*c_0101_4^3 + 41/16*c_0101_4, c_0101_0 - 1/8*c_0101_4^5 + 5/2*c_0101_4^3 - 19/8*c_0101_4, c_0101_1 + 1/4*c_0101_4^2 - 3/4, c_0101_4^6 - 21*c_0101_4^4 + 35*c_0101_4^2 - 7 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2107654/22683*c_0101_4^11 - 13456426/22683*c_0101_4^9 - 16478439/7561*c_0101_4^7 - 16901501/22683*c_0101_4^5 + 52521035/22683*c_0101_4^3 - 49340729/22683*c_0101_4, c_0011_0 - 1, c_0011_1 + 81/7561*c_0101_4^10 + 726/7561*c_0101_4^8 + 3012/7561*c_0101_4^6 + 5483/7561*c_0101_4^4 - 584/7561*c_0101_4^2 + 3743/7561, c_0011_3 + 3515/68049*c_0101_4^11 + 2816/7561*c_0101_4^9 + 33674/22683*c_0101_4^7 + 95863/68049*c_0101_4^5 - 82937/68049*c_0101_4^3 + 251/22683*c_0101_4, c_0101_0 + 7283/68049*c_0101_4^11 + 5355/7561*c_0101_4^9 + 60776/22683*c_0101_4^7 + 101131/68049*c_0101_4^5 - 149309/68049*c_0101_4^3 + 33554/22683*c_0101_4, c_0101_1 + 216/7561*c_0101_4^10 + 1936/7561*c_0101_4^8 + 8032/7561*c_0101_4^6 + 12101/7561*c_0101_4^4 - 6598/7561*c_0101_4^2 - 100/7561, c_0101_4^12 + 6*c_0101_4^10 + 21*c_0101_4^8 - c_0101_4^6 - 28*c_0101_4^4 + 33*c_0101_4^2 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB