Magma V2.19-8 Tue Aug 20 2013 16:14:30 on localhost [Seed = 3137021626] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s490 geometric_solution 4.86964861 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114187944048 0.917396723040 3 2 4 0 0132 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941127476096 1.325017383502 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 -1 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 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 0.941127476096 1.325017383502 1 3 3 2 0132 3201 2310 3201 0 0 0 0 0 0 1 -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 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 0.606998163854 0.402262957167 2 5 5 1 3201 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134837202322 0.395203080283 4 4 5 5 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.119044134542 1.012697984782 ==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' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 72100723/54022925*c_0101_5^8 + 247566318/54022925*c_0101_5^7 - 219578536/10804585*c_0101_5^6 + 202244938/4911175*c_0101_5^5 - 2999703543/54022925*c_0101_5^4 + 279724843/10804585*c_0101_5^3 + 420997736/10804585*c_0101_5^2 - 2739910071/54022925*c_0101_5 + 1053101118/54022925, c_0011_0 - 1, c_0011_1 + 13756/31685*c_0101_5^8 - 27304/31685*c_0101_5^7 + 162157/31685*c_0101_5^6 - 168882/31685*c_0101_5^5 + 222947/31685*c_0101_5^4 + 213604/31685*c_0101_5^3 - 305652/31685*c_0101_5^2 + 50098/31685*c_0101_5 + 20336/6337, c_0011_4 + 5708/6337*c_0101_5^8 - 10307/6337*c_0101_5^7 + 66085/6337*c_0101_5^6 - 59745/6337*c_0101_5^5 + 90473/6337*c_0101_5^4 + 95102/6337*c_0101_5^3 - 93541/6337*c_0101_5^2 + 18199/6337*c_0101_5 + 27371/6337, c_0101_0 - 3682/6337*c_0101_5^8 + 7277/6337*c_0101_5^7 - 44092/6337*c_0101_5^6 + 46326/6337*c_0101_5^5 - 68239/6337*c_0101_5^4 - 49494/6337*c_0101_5^3 + 67034/6337*c_0101_5^2 - 25890/6337*c_0101_5 - 18644/6337, c_0101_1 + 4036/31685*c_0101_5^8 - 9264/31685*c_0101_5^7 + 51732/31685*c_0101_5^6 - 68032/31685*c_0101_5^5 + 103077/31685*c_0101_5^4 + 21349/31685*c_0101_5^3 - 47112/31685*c_0101_5^2 + 85808/31685*c_0101_5 + 4837/6337, c_0101_5^9 - c_0101_5^8 + 10*c_0101_5^7 - c_0101_5^6 + 6*c_0101_5^5 + 30*c_0101_5^4 - 5*c_0101_5^3 - 13*c_0101_5^2 + 9*c_0101_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB