Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 1292685439] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2751 geometric_solution 5.99164133 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 -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 1.517676361330 0.458176885819 0 2 3 0 3201 0132 0132 0132 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 -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 0.846854827739 0.426489658287 4 1 3 4 0132 0132 1302 2103 0 1 0 0 0 0 0 0 1 0 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 1 -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 0.622646971600 0.617796549201 2 5 5 1 2031 0132 1302 0132 0 0 0 1 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 -1 1 0 0 0 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 0.622646971600 0.617796549201 2 6 5 2 0132 0132 1230 2103 0 1 0 0 0 0 0 0 -1 0 0 1 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 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 0.622646971600 0.617796549201 3 3 6 4 2031 0132 3120 3012 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.190696822500 0.802998702510 6 4 5 6 3012 0132 3120 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 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 1.190696822500 0.802998702510 ==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_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' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_4, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 49319139961/577929036200*c_1001_1^8 + 2173997875837/3756538735300*c_1001_1^7 + 284017510851/300523098824*c_1001_1^6 + 9028606172823/3756538735300*c_1001_1^5 - 104275094563717/7513077470600*c_1001_1^4 + 80844265418193/7513077470600*c_1001_1^3 + 73555025801671/7513077470600*c_1001_1^2 - 23169285990221/3756538735300*c_1001_1 - 49442680581089/3756538735300, c_0011_0 - 1, c_0011_1 - 13048129/4899833133*c_1001_1^8 - 36222553/1633277711*c_1001_1^7 - 275984297/4899833133*c_1001_1^6 - 550016530/4899833133*c_1001_1^5 + 1694077895/4899833133*c_1001_1^4 + 736897548/1633277711*c_1001_1^3 - 316136678/376910241*c_1001_1^2 - 2388007753/4899833133*c_1001_1 + 2331074522/4899833133, c_0011_3 + 1, c_0101_0 - 14353816/4899833133*c_1001_1^8 - 41180870/1633277711*c_1001_1^7 - 349811606/4899833133*c_1001_1^6 - 792662413/4899833133*c_1001_1^5 + 1311387365/4899833133*c_1001_1^4 + 467102219/1633277711*c_1001_1^3 - 4287666473/4899833133*c_1001_1^2 - 4681488340/4899833133*c_1001_1 + 4429262585/4899833133, c_0101_4 - 13048129/4899833133*c_1001_1^8 - 36222553/1633277711*c_1001_1^7 - 275984297/4899833133*c_1001_1^6 - 550016530/4899833133*c_1001_1^5 + 1694077895/4899833133*c_1001_1^4 + 736897548/1633277711*c_1001_1^3 - 316136678/376910241*c_1001_1^2 + 2511825380/4899833133*c_1001_1 + 2331074522/4899833133, c_0101_6 + 5759112/1633277711*c_1001_1^8 + 30926240/1633277711*c_1001_1^7 - 2819335/1633277711*c_1001_1^6 - 29411573/1633277711*c_1001_1^5 - 1482463143/1633277711*c_1001_1^4 + 1310601471/1633277711*c_1001_1^3 + 359654783/1633277711*c_1001_1^2 - 927066695/1633277711*c_1001_1 - 82691541/1633277711, c_1001_1^9 + 8*c_1001_1^8 + 20*c_1001_1^7 + 47*c_1001_1^6 - 114*c_1001_1^5 - 34*c_1001_1^4 + 212*c_1001_1^3 + 86*c_1001_1^2 - 156*c_1001_1 - 115 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB