Magma V2.19-8 Tue Aug 20 2013 16:16:10 on localhost [Seed = 3069651570] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0435 geometric_solution 4.48603830 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 2.842288607806 0.972387114335 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 -0.569145046117 0.094663020083 0 3 4 0 3201 0132 0132 0132 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 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 -0.021018636378 0.823174946266 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 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 0.132565026107 0.688017428865 5 3 3 2 1023 1302 3201 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 -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 0.132565026107 0.688017428865 6 4 6 3 0132 1023 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 -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 1 0 -1 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.457801971199 0.618663843230 5 5 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 -1 0 0 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 0.545006004741 0.306093833508 ==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' : 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' : 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_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_4']), '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' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), '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' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : 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_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 551192/12125*c_0101_5^13 - 731346/12125*c_0101_5^12 - 783307/12125*c_0101_5^11 + 1316918/12125*c_0101_5^10 - 8854796/12125*c_0101_5^9 + 107516/97*c_0101_5^8 + 2113563/12125*c_0101_5^7 - 9652362/12125*c_0101_5^6 + 35798638/12125*c_0101_5^5 - 632227/125*c_0101_5^4 + 254449/125*c_0101_5^3 + 8919894/12125*c_0101_5^2 - 3985178/12125*c_0101_5 - 807866/12125, c_0011_0 - 1, c_0011_2 - 47501/12125*c_0101_5^13 + 18313/12125*c_0101_5^12 + 101846/12125*c_0101_5^11 - 31204/12125*c_0101_5^10 + 703413/12125*c_0101_5^9 - 3778/97*c_0101_5^8 - 891014/12125*c_0101_5^7 + 270886/12125*c_0101_5^6 - 2632239/12125*c_0101_5^5 + 27106/125*c_0101_5^4 + 14178/125*c_0101_5^3 - 836532/12125*c_0101_5^2 - 356891/12125*c_0101_5 - 15502/12125, c_0011_4 - 223879/12125*c_0101_5^13 + 64002/12125*c_0101_5^12 + 483134/12125*c_0101_5^11 - 98816/12125*c_0101_5^10 + 3309777/12125*c_0101_5^9 - 15176/97*c_0101_5^8 - 4336806/12125*c_0101_5^7 + 830919/12125*c_0101_5^6 - 12360956/12125*c_0101_5^5 + 115049/125*c_0101_5^4 + 76337/125*c_0101_5^3 - 3100628/12125*c_0101_5^2 - 1915814/12125*c_0101_5 - 221008/12125, c_0101_0 - 159877/12125*c_0101_5^13 + 35376/12125*c_0101_5^12 + 348942/12125*c_0101_5^11 - 48408/12125*c_0101_5^10 + 2356701/12125*c_0101_5^9 - 9620/97*c_0101_5^8 - 3198903/12125*c_0101_5^7 + 400147/12125*c_0101_5^6 - 8765478/12125*c_0101_5^5 + 76337/125*c_0101_5^4 + 60356/125*c_0101_5^3 - 1915814/12125*c_0101_5^2 - 1564282/12125*c_0101_5 - 236004/12125, c_0101_1 + 124501/12125*c_0101_5^13 - 29188/12125*c_0101_5^12 - 271346/12125*c_0101_5^11 + 41454/12125*c_0101_5^10 - 1835163/12125*c_0101_5^9 + 7685/97*c_0101_5^8 + 2477639/12125*c_0101_5^7 - 347511/12125*c_0101_5^6 + 6824364/12125*c_0101_5^5 - 60356/125*c_0101_5^4 - 46178/125*c_0101_5^3 + 1564282/12125*c_0101_5^2 + 1207391/12125*c_0101_5 + 159877/12125, c_0101_3 - 95293/12125*c_0101_5^13 + 30709/12125*c_0101_5^12 + 207378/12125*c_0101_5^11 - 49022/12125*c_0101_5^10 + 1405759/12125*c_0101_5^9 - 6877/97*c_0101_5^8 - 1858852/12125*c_0101_5^7 + 423723/12125*c_0101_5^6 - 5237027/12125*c_0101_5^5 + 51058/125*c_0101_5^4 + 32404/125*c_0101_5^3 - 1488376/12125*c_0101_5^2 - 815438/12125*c_0101_5 - 80086/12125, c_0101_5^14 - c_0101_5^13 - 2*c_0101_5^12 + 2*c_0101_5^11 - 15*c_0101_5^10 + 19*c_0101_5^9 + 14*c_0101_5^8 - 18*c_0101_5^7 + 57*c_0101_5^6 - 89*c_0101_5^5 + 40*c_0101_5^3 - 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB