Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2446331309] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0168 geometric_solution 3.93092781 oriented_manifold CS_known -0.0000000000000007 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.733670049673 0.563844497316 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 -0.513172088013 0.038530197607 0 3 3 0 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.485241535609 0.303460288451 2 2 4 5 2310 0132 0132 0132 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 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 0.458483866939 0.665961245262 6 5 5 3 0132 3012 1230 0132 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 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988209499792 0.586413016442 4 6 3 4 1230 3201 0132 3012 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 0 0 0 -1 0 1 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 0.988209499792 0.586413016442 4 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 -1 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.422689825153 0.835878323853 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : 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_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_4'], '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' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), '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_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 137505043223/6316728845*c_0101_4^10 - 609303686298/6316728845*c_0101_4^9 - 271741154364/1263345769*c_0101_4^8 + 3008516014568/6316728845*c_0101_4^7 + 2992402234077/6316728845*c_0101_4^6 + 9876436445118/6316728845*c_0101_4^5 - 46756466379/180477967*c_0101_4^4 - 27550012451154/6316728845*c_0101_4^3 + 1689628563099/6316728845*c_0101_4^2 + 2545171180534/6316728845*c_0101_4 + 40529824541/6316728845, c_0011_0 - 1, c_0011_2 + 1657619630/1263345769*c_0101_4^10 + 6988122893/1263345769*c_0101_4^9 + 14747014567/1263345769*c_0101_4^8 - 40029589766/1263345769*c_0101_4^7 - 28844651424/1263345769*c_0101_4^6 - 110521720471/1263345769*c_0101_4^5 + 46024864059/1263345769*c_0101_4^4 + 47336240613/180477967*c_0101_4^3 - 91222712247/1263345769*c_0101_4^2 - 33342204394/1263345769*c_0101_4 + 8036232374/1263345769, c_0011_4 - 486072054/1263345769*c_0101_4^10 - 2164064128/1263345769*c_0101_4^9 - 4842399332/1263345769*c_0101_4^8 + 10558826552/1263345769*c_0101_4^7 + 10856807433/1263345769*c_0101_4^6 + 35025633170/1263345769*c_0101_4^5 - 5033893722/1263345769*c_0101_4^4 - 13932001759/180477967*c_0101_4^3 + 4417026011/1263345769*c_0101_4^2 + 10081441026/1263345769*c_0101_4 - 829401327/1263345769, c_0101_0 - 927372819/1263345769*c_0101_4^10 - 3920201694/1263345769*c_0101_4^9 - 8307101367/1263345769*c_0101_4^8 + 22224631959/1263345769*c_0101_4^7 + 16138509038/1263345769*c_0101_4^6 + 61819346275/1263345769*c_0101_4^5 - 25091625103/1263345769*c_0101_4^4 - 26421285755/180477967*c_0101_4^3 + 50944664752/1263345769*c_0101_4^2 + 19856663325/1263345769*c_0101_4 - 4121122882/1263345769, c_0101_1 + 419300780/1263345769*c_0101_4^10 + 1735087012/1263345769*c_0101_4^9 + 3614484283/1263345769*c_0101_4^8 - 10307104679/1263345769*c_0101_4^7 - 6213845412/1263345769*c_0101_4^6 - 27599442981/1263345769*c_0101_4^5 + 13478680714/1263345769*c_0101_4^4 + 11586151342/180477967*c_0101_4^3 - 30464478439/1263345769*c_0101_4^2 - 4439915189/1263345769*c_0101_4 + 2606424145/1263345769, c_0101_3 - 1536130433/1263345769*c_0101_4^10 - 6503539760/1263345769*c_0101_4^9 - 13835068816/1263345769*c_0101_4^8 + 36587871840/1263345769*c_0101_4^7 + 26694946081/1263345769*c_0101_4^6 + 103428183858/1263345769*c_0101_4^5 - 40151325607/1263345769*c_0101_4^4 - 43452236679/180477967*c_0101_4^3 + 80874788034/1263345769*c_0101_4^2 + 26593657207/1263345769*c_0101_4 - 6339433126/1263345769, c_0101_4^11 + 4*c_0101_4^10 + 8*c_0101_4^9 - 26*c_0101_4^8 - 12*c_0101_4^7 - 63*c_0101_4^6 + 42*c_0101_4^5 + 193*c_0101_4^4 - 99*c_0101_4^3 - 7*c_0101_4^2 + 9*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB