Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 2311591336] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s161 geometric_solution 4.24998295 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 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 -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 1.239991141430 0.864101948331 0 2 3 3 0132 3012 2310 0132 0 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 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 0.030289790197 0.906507502100 1 0 4 4 1230 0132 2310 0132 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 1 0 -1 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 0.030289790197 0.906507502100 5 1 1 5 0132 3201 0132 3201 0 0 0 0 0 -1 1 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 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 -0.314699427165 0.487827916449 5 2 2 5 2310 3201 0132 1023 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 -1 1 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 -0.314699427165 0.487827916449 3 3 4 4 0132 2310 3201 1023 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 0 2.933793481434 1.447509874881 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2625359/46355840*c_0101_5^9 - 6247593/46355840*c_0101_5^8 + 184099/362155*c_0101_5^7 + 19623157/46355840*c_0101_5^6 + 1472331/1448620*c_0101_5^5 + 62689999/11588960*c_0101_5^4 + 2940363/1158896*c_0101_5^3 - 2273138/362155*c_0101_5^2 - 23290339/1448620*c_0101_5 + 1088047/724310, c_0011_0 - 1, c_0011_3 - 1927/4635584*c_0101_5^9 + 17825/4635584*c_0101_5^8 + 10821/2317792*c_0101_5^7 - 204255/4635584*c_0101_5^6 + 190165/2317792*c_0101_5^5 - 123901/579448*c_0101_5^4 - 9827/72431*c_0101_5^3 + 17711/144862*c_0101_5^2 + 55569/144862*c_0101_5 + 28018/72431, c_0011_4 + 1927/4635584*c_0101_5^9 - 17825/4635584*c_0101_5^8 - 10821/2317792*c_0101_5^7 + 204255/4635584*c_0101_5^6 - 190165/2317792*c_0101_5^5 + 123901/579448*c_0101_5^4 + 9827/72431*c_0101_5^3 - 17711/144862*c_0101_5^2 - 55569/144862*c_0101_5 - 28018/72431, c_0101_0 + 13369/4635584*c_0101_5^9 - 17067/4635584*c_0101_5^8 - 87477/2317792*c_0101_5^7 + 345673/4635584*c_0101_5^6 - 248597/2317792*c_0101_5^5 + 50033/579448*c_0101_5^4 + 166347/579448*c_0101_5^3 + 314643/289724*c_0101_5^2 - 28974/72431*c_0101_5 - 24486/72431, c_0101_1 + 12243/2317792*c_0101_5^9 - 563/1158896*c_0101_5^8 - 105363/2317792*c_0101_5^7 + 236169/2317792*c_0101_5^6 - 712963/2317792*c_0101_5^5 + 28223/1158896*c_0101_5^4 - 74519/289724*c_0101_5^3 + 102999/289724*c_0101_5^2 - 96323/144862*c_0101_5 + 33462/72431, c_0101_5^10 + c_0101_5^9 - 10*c_0101_5^8 + 5*c_0101_5^7 - 30*c_0101_5^6 - 36*c_0101_5^5 - 16*c_0101_5^4 + 176*c_0101_5^3 + 96*c_0101_5^2 - 64*c_0101_5 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB