Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 4004475603] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s026 geometric_solution 3.56074850 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.291913879860 0.131750146196 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.205533417155 0.629734198989 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.145385078268 0.185232610582 4 2 5 2 0132 2310 0132 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 0 -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 0.932022059079 1.924440558350 3 5 5 5 0132 3201 2310 1230 0 0 0 0 0 -1 1 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 0.001596591110 0.963759008239 4 4 4 3 3012 3201 2310 0132 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 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 0.001596591110 0.963759008239 ==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_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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 22128/25505*c_0101_2^9 - 224344/25505*c_0101_2^8 - 364489/25505*c_0101_2^7 + 1412316/25505*c_0101_2^6 + 2248042/25505*c_0101_2^5 - 2508363/25505*c_0101_2^4 - 665504/5101*c_0101_2^3 + 2169457/25505*c_0101_2^2 + 1444086/25505*c_0101_2 - 1041939/25505, c_0011_0 - 1, c_0011_3 + 612/5101*c_0101_2^9 + 3018/5101*c_0101_2^8 - 7521/5101*c_0101_2^7 - 4748/5101*c_0101_2^6 + 15054/5101*c_0101_2^5 - 6922/5101*c_0101_2^4 - 13409/5101*c_0101_2^3 + 6652/5101*c_0101_2^2 + 2224/5101*c_0101_2 + 2048/5101, c_0011_5 - 1594/5101*c_0101_2^9 - 9861/5101*c_0101_2^8 + 9337/5101*c_0101_2^7 + 38605/5101*c_0101_2^6 + 2999/5101*c_0101_2^5 - 45917/5101*c_0101_2^4 - 11401/5101*c_0101_2^3 + 19915/5101*c_0101_2^2 + 542/5101*c_0101_2 - 2767/5101, c_0101_0 - 3053/5101*c_0101_2^9 - 17706/5101*c_0101_2^8 + 27442/5101*c_0101_2^7 + 77963/5101*c_0101_2^6 - 50543/5101*c_0101_2^5 - 104013/5101*c_0101_2^4 + 44979/5101*c_0101_2^3 + 44598/5101*c_0101_2^2 - 21830/5101*c_0101_2 - 3882/5101, c_0101_1 + 706/5101*c_0101_2^9 + 5782/5101*c_0101_2^8 + 2476/5101*c_0101_2^7 - 38117/5101*c_0101_2^6 - 19441/5101*c_0101_2^5 + 67763/5101*c_0101_2^4 + 24756/5101*c_0101_2^3 - 45270/5101*c_0101_2^2 - 3869/5101*c_0101_2 + 7997/5101, c_0101_2^10 + 6*c_0101_2^9 - 8*c_0101_2^8 - 28*c_0101_2^7 + 15*c_0101_2^6 + 39*c_0101_2^5 - 17*c_0101_2^4 - 19*c_0101_2^3 + 11*c_0101_2^2 + 2*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB