Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 1309659764] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0090 geometric_solution 3.62910416 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 1 -1 0 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 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 -2.779980574570 0.328933085203 0 0 2 2 0132 2310 3201 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124084442459 0.029780793290 1 3 1 3 2310 0132 0132 2310 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 0 -1 1 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 0 0 0 -3.194862673732 1.457947540834 2 2 5 4 3201 0132 0132 0132 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 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 0.516903776660 0.369553567310 5 6 3 5 1230 0132 0132 1302 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.796578777382 0.406128062470 6 4 4 3 3201 3012 2031 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796578777382 0.406128062470 6 4 6 5 2310 0132 3201 2310 0 0 0 0 0 0 -1 1 1 0 -1 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985949149126 1.968435802696 ==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_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], '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_0011_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 20*c_0101_5^4 + 43*c_0101_5^3 + 99*c_0101_5^2 - 3*c_0101_5 - 29, c_0011_0 - 1, c_0011_2 + c_0101_5^4 - 2*c_0101_5^3 - 6*c_0101_5^2 + c_0101_5 + 3, c_0011_4 - 1, c_0101_0 - c_0101_5, c_0101_1 - c_0101_5^4 + 3*c_0101_5^3 + 3*c_0101_5^2 - 3*c_0101_5 - 1, c_0101_4 - c_0101_5^4 + 2*c_0101_5^3 + 6*c_0101_5^2 - c_0101_5 - 3, c_0101_5^5 - 3*c_0101_5^4 - 3*c_0101_5^3 + 4*c_0101_5^2 + c_0101_5 - 1 ], 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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 48737091/585178*c_0101_5^9 - 590889291/585178*c_0101_5^8 + 2265207053/585178*c_0101_5^7 - 1923953653/585178*c_0101_5^6 - 2560096329/292589*c_0101_5^5 + 7570355553/585178*c_0101_5^4 + 1226348890/292589*c_0101_5^3 - 2623047543/292589*c_0101_5^2 + 27900833/292589*c_0101_5 + 249874337/292589, c_0011_0 - 1, c_0011_2 + 3311/53198*c_0101_5^9 - 41027/53198*c_0101_5^8 + 167797/53198*c_0101_5^7 - 206995/53198*c_0101_5^6 - 100549/26599*c_0101_5^5 + 577439/53198*c_0101_5^4 - 121673/26599*c_0101_5^3 - 119592/26599*c_0101_5^2 + 99501/26599*c_0101_5 - 6335/26599, c_0011_4 + 1025/26599*c_0101_5^9 - 14163/26599*c_0101_5^8 + 134989/53198*c_0101_5^7 - 110257/26599*c_0101_5^6 - 119601/53198*c_0101_5^5 + 592509/53198*c_0101_5^4 - 103459/26599*c_0101_5^3 - 147568/26599*c_0101_5^2 + 140765/53198*c_0101_5 + 27527/53198, c_0101_0 + 14411/53198*c_0101_5^9 - 87794/26599*c_0101_5^8 + 680731/53198*c_0101_5^7 - 307677/26599*c_0101_5^6 - 1443603/53198*c_0101_5^5 + 2246809/53198*c_0101_5^4 + 289971/26599*c_0101_5^3 - 1388947/53198*c_0101_5^2 + 86021/53198*c_0101_5 + 34454/26599, c_0101_1 + 1872/26599*c_0101_5^9 - 41275/53198*c_0101_5^8 + 64335/26599*c_0101_5^7 - 7849/53198*c_0101_5^6 - 387031/53198*c_0101_5^5 + 43440/26599*c_0101_5^4 + 216573/26599*c_0101_5^3 + 21065/53198*c_0101_5^2 - 190427/53198*c_0101_5 - 1540/26599, c_0101_4 + 1639/26599*c_0101_5^9 - 43711/53198*c_0101_5^8 + 99764/26599*c_0101_5^7 - 151599/26599*c_0101_5^6 - 221451/53198*c_0101_5^5 + 458161/26599*c_0101_5^4 - 147943/26599*c_0101_5^3 - 291161/26599*c_0101_5^2 + 116890/26599*c_0101_5 + 49933/53198, c_0101_5^10 - 12*c_0101_5^9 + 45*c_0101_5^8 - 34*c_0101_5^7 - 109*c_0101_5^6 + 142*c_0101_5^5 + 67*c_0101_5^4 - 100*c_0101_5^3 - 10*c_0101_5^2 + 10*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB