Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 4105529544] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0164 geometric_solution 3.90404982 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 3.012433776746 0.650907322969 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.566400907809 0.060494103782 0 3 3 0 3201 0132 3201 0132 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 1 0 -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 -0.428780938558 0.973150940355 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -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 -0.144540970340 0.247851362131 5 5 6 3 1230 3012 0132 0132 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949870275054 1.713997865523 4 4 3 6 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.949870275054 1.713997865523 6 6 5 4 1230 3012 0132 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 -1 0 1 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 -0.422452396407 0.803312935841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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' : negation(d['1']), 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_3'], 'c_1100_5' : d['c_1100_3'], 'c_1100_4' : d['c_1100_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_1100_3'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1100_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2258409/3076480*c_1100_3^8 + 28768371/3076480*c_1100_3^7 + 36018551/769120*c_1100_3^6 + 86565001/769120*c_1100_3^5 + 9144129/80960*c_1100_3^4 - 223701/12160*c_1100_3^3 - 151341141/1538240*c_1100_3^2 - 1166651/55936*c_1100_3 + 38534063/3076480, c_0011_0 - 1, c_0011_2 - 11/115*c_1100_3^8 - 1234/1265*c_1100_3^7 - 4311/1265*c_1100_3^6 - 4601/1265*c_1100_3^5 + 5232/1265*c_1100_3^4 + 439/55*c_1100_3^3 - 4762/1265*c_1100_3^2 - 720/253*c_1100_3 + 3303/1265, c_0011_4 - 504/24035*c_1100_3^8 - 6596/24035*c_1100_3^7 - 30464/24035*c_1100_3^6 - 53674/24035*c_1100_3^5 + 2/115*c_1100_3^4 + 3846/1045*c_1100_3^3 + 18937/24035*c_1100_3^2 - 8776/4807*c_1100_3 + 10767/24035, c_0011_6 + 252/24035*c_1100_3^8 + 3298/24035*c_1100_3^7 + 15232/24035*c_1100_3^6 + 26837/24035*c_1100_3^5 - 1/115*c_1100_3^4 - 1923/1045*c_1100_3^3 + 2549/24035*c_1100_3^2 + 4388/4807*c_1100_3 - 17401/24035, c_0101_0 - 118/2185*c_1100_3^8 - 12652/24035*c_1100_3^7 - 42283/24035*c_1100_3^6 - 41693/24035*c_1100_3^5 + 3294/1265*c_1100_3^4 + 5587/1045*c_1100_3^3 - 13771/24035*c_1100_3^2 - 14701/4807*c_1100_3 + 11784/24035, c_0101_1 + 1521/24035*c_1100_3^8 + 16004/24035*c_1100_3^7 + 56976/24035*c_1100_3^6 + 58271/24035*c_1100_3^5 - 4498/1265*c_1100_3^4 - 6989/1045*c_1100_3^3 + 56822/24035*c_1100_3^2 + 13125/4807*c_1100_3 - 25353/24035, c_1100_3^9 + 11*c_1100_3^8 + 44*c_1100_3^7 + 68*c_1100_3^6 - 10*c_1100_3^5 - 121*c_1100_3^4 - 42*c_1100_3^3 + 59*c_1100_3^2 + 7*c_1100_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB