Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 3684321255] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0161 geometric_solution 3.86108645 oriented_manifold CS_known 0.0000000000000000 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 4.678228463269 0.895652422583 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 -0.456147672889 0.043272057802 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 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 -0.239566566166 0.138466553388 2 2 4 4 2310 0132 0132 2310 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 -1 1 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 1.791092139967 2.076214627888 3 5 6 3 3201 0132 0132 0132 0 0 0 0 0 -1 1 0 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 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 0.467973819255 0.319875421129 6 4 6 6 2031 0132 2103 3201 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565125214694 0.880782603627 5 5 5 4 2103 2310 1302 0132 0 0 0 0 0 1 0 -1 0 0 -1 1 1 0 0 -1 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 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 0.565125214694 0.880782603627 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(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' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_6']), '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_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 92432/13655*c_0110_5^10 + 554892/13655*c_0110_5^9 - 2445861/13655*c_0110_5^8 + 7257562/13655*c_0110_5^7 - 1933862/2731*c_0110_5^6 + 2370339/13655*c_0110_5^5 + 3305199/13655*c_0110_5^4 + 582347/13655*c_0110_5^3 - 836923/13655*c_0110_5^2 - 1340366/13655*c_0110_5 + 64532/13655, c_0011_0 - 1, c_0011_2 - 819/2731*c_0110_5^10 + 4280/2731*c_0110_5^9 - 17741/2731*c_0110_5^8 + 48515/2731*c_0110_5^7 - 37465/2731*c_0110_5^6 - 28464/2731*c_0110_5^5 + 18990/2731*c_0110_5^4 + 13350/2731*c_0110_5^3 + 12464/2731*c_0110_5^2 - 4177/2731*c_0110_5 - 3032/2731, c_0011_4 - 1611/2731*c_0110_5^10 + 5958/2731*c_0110_5^9 - 29075/2731*c_0110_5^8 + 61008/2731*c_0110_5^7 - 33030/2731*c_0110_5^6 - 16045/2731*c_0110_5^5 + 4702/2731*c_0110_5^4 + 4712/2731*c_0110_5^3 + 7861/2731*c_0110_5^2 - 4675/2731*c_0110_5 - 382/2731, c_0011_6 - 10874/2731*c_0110_5^10 + 40597/2731*c_0110_5^9 - 189420/2731*c_0110_5^8 + 397158/2731*c_0110_5^7 - 113982/2731*c_0110_5^6 - 273353/2731*c_0110_5^5 - 13884/2731*c_0110_5^4 + 103013/2731*c_0110_5^3 + 93717/2731*c_0110_5^2 + 2059/2731*c_0110_5 - 7381/2731, c_0101_0 + 4614/2731*c_0110_5^10 - 15279/2731*c_0110_5^9 + 74098/2731*c_0110_5^8 - 136939/2731*c_0110_5^7 - 8934/2731*c_0110_5^6 + 120413/2731*c_0110_5^5 + 37639/2731*c_0110_5^4 - 26352/2731*c_0110_5^3 - 49921/2731*c_0110_5^2 - 14602/2731*c_0110_5 + 2396/2731, c_0101_3 - 382/2731*c_0110_5^10 + 299/2731*c_0110_5^9 - 2446/2731*c_0110_5^8 - 6919/2731*c_0110_5^7 + 40380/2731*c_0110_5^6 - 39906/2731*c_0110_5^5 - 3057/2731*c_0110_5^4 + 9668/2731*c_0110_5^3 + 3566/2731*c_0110_5^2 + 546/2731*c_0110_5 - 2708/2731, c_0110_5^11 - 5*c_0110_5^10 + 22*c_0110_5^9 - 58*c_0110_5^8 + 54*c_0110_5^7 + 18*c_0110_5^6 - 34*c_0110_5^5 - 13*c_0110_5^4 + 3*c_0110_5^3 + 12*c_0110_5^2 + 2*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB