Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 2665415345] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s185 geometric_solution 4.28591337 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 -1 1 -1 0 0 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 2.008343888249 0.579160835226 0 2 3 0 0132 0132 0132 3201 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 0 1 -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 0.217411815679 0.796856249843 4 1 3 3 0132 0132 2103 3201 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 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 0.465156278943 1.281479572333 2 2 4 1 2103 2310 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 -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 0.465156278943 1.281479572333 2 3 5 5 0132 3201 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219983956855 0.306543195027 4 5 4 5 2310 2310 0132 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 -1.448378141783 0.743338527199 ==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' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_3'], '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_5, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 18484188/353203*c_0101_4^11 - 98042009/2472421*c_0101_4^10 + 218375650/2472421*c_0101_4^9 - 27819129/2472421*c_0101_4^8 - 341948325/2472421*c_0101_4^7 + 726927771/2472421*c_0101_4^6 - 89944899/353203*c_0101_4^5 + 46937464/353203*c_0101_4^4 + 86297734/2472421*c_0101_4^3 - 234806835/2472421*c_0101_4^2 + 181461619/2472421*c_0101_4 - 56377547/2472421, c_0011_0 - 1, c_0011_3 + 3592834/353203*c_0101_4^11 - 2288049/353203*c_0101_4^10 + 5360417/353203*c_0101_4^9 + 36428/353203*c_0101_4^8 - 9765069/353203*c_0101_4^7 + 19022721/353203*c_0101_4^6 - 13575654/353203*c_0101_4^5 + 6044068/353203*c_0101_4^4 + 3513848/353203*c_0101_4^3 - 5910693/353203*c_0101_4^2 + 3701526/353203*c_0101_4 - 619505/353203, c_0011_5 + 929915/353203*c_0101_4^11 - 1938215/353203*c_0101_4^10 + 1385983/353203*c_0101_4^9 - 1892812/353203*c_0101_4^8 - 3851169/353203*c_0101_4^7 + 8052279/353203*c_0101_4^6 - 8578842/353203*c_0101_4^5 + 3511948/353203*c_0101_4^4 + 746675/353203*c_0101_4^3 - 3496081/353203*c_0101_4^2 + 2301931/353203*c_0101_4 - 708750/353203, c_0101_0 + 16683506/353203*c_0101_4^11 - 9676035/353203*c_0101_4^10 + 25697306/353203*c_0101_4^9 - 241320/353203*c_0101_4^8 - 45225353/353203*c_0101_4^7 + 83711189/353203*c_0101_4^6 - 65580135/353203*c_0101_4^5 + 31427973/353203*c_0101_4^4 + 13755162/353203*c_0101_4^3 - 27232686/353203*c_0101_4^2 + 18027419/353203*c_0101_4 - 4705136/353203, c_0101_2 + 743701/353203*c_0101_4^11 + 924843/353203*c_0101_4^10 + 405099/353203*c_0101_4^9 + 1606959/353203*c_0101_4^8 - 1969098/353203*c_0101_4^7 - 290560/353203*c_0101_4^6 + 3481640/353203*c_0101_4^5 - 2273582/353203*c_0101_4^4 + 1910715/353203*c_0101_4^3 + 131966/353203*c_0101_4^2 - 939149/353203*c_0101_4 + 604001/353203, c_0101_4^12 - 8/7*c_0101_4^11 + 13/7*c_0101_4^10 - 6/7*c_0101_4^9 - 19/7*c_0101_4^8 + 46/7*c_0101_4^7 - 47/7*c_0101_4^6 + 4*c_0101_4^5 - 1/7*c_0101_4^4 - 15/7*c_0101_4^3 + 2*c_0101_4^2 - 6/7*c_0101_4 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB