Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 2118116007] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1738 geometric_solution 5.43821366 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 -0.248824446045 0.507877091700 0 1 1 4 0132 1230 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.310464019787 1.524115098974 4 0 6 5 3012 0132 0132 0132 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 0 0.110006855305 0.955879004572 5 6 6 0 3120 2103 3120 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703920120172 1.701358022351 1 5 0 2 3012 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.419600412816 0.891492194001 6 4 2 3 0321 3120 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.228465882627 0.916295574867 5 3 3 2 0321 2103 3120 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702246727572 0.937203920706 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : 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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0101_1, c_0101_3, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 12056245623/100224368*c_1001_0^12 - 15421419933/50112184*c_1001_0^11 + 170671834009/100224368*c_1001_0^10 - 436269494619/100224368*c_1001_0^9 + 220690192809/50112184*c_1001_0^8 + 16193742017/12528046*c_1001_0^7 - 345319332413/100224368*c_1001_0^6 + 88093054989/25056092*c_1001_0^5 - 302912429103/100224368*c_1001_0^4 + 270330686071/100224368*c_1001_0^3 - 183257499273/100224368*c_1001_0^2 + 56706152857/50112184*c_1001_0 - 32707303655/100224368, c_0011_0 - 1, c_0011_3 - 37206133/50112184*c_1001_0^12 - 67376595/25056092*c_1001_0^11 + 403534843/50112184*c_1001_0^10 - 853653105/50112184*c_1001_0^9 + 102741791/25056092*c_1001_0^8 + 149738564/6264023*c_1001_0^7 - 164816711/50112184*c_1001_0^6 + 105174659/12528046*c_1001_0^5 - 141846165/50112184*c_1001_0^4 + 315182029/50112184*c_1001_0^3 - 46796731/50112184*c_1001_0^2 + 28727847/25056092*c_1001_0 + 74350987/50112184, c_0011_5 + 23340203/25056092*c_1001_0^12 + 77574549/25056092*c_1001_0^11 - 69130682/6264023*c_1001_0^10 + 617543719/25056092*c_1001_0^9 - 308858159/25056092*c_1001_0^8 - 670661735/25056092*c_1001_0^7 + 160582309/12528046*c_1001_0^6 - 179927571/12528046*c_1001_0^5 + 185569465/25056092*c_1001_0^4 - 118012885/12528046*c_1001_0^3 + 60222147/25056092*c_1001_0^2 - 42280027/25056092*c_1001_0 - 10147703/6264023, c_0101_1 + 27106459/50112184*c_1001_0^12 + 11382547/6264023*c_1001_0^11 - 313122575/50112184*c_1001_0^10 + 721006311/50112184*c_1001_0^9 - 98039473/12528046*c_1001_0^8 - 328496781/25056092*c_1001_0^7 + 260106435/50112184*c_1001_0^6 - 130118499/12528046*c_1001_0^5 + 274028027/50112184*c_1001_0^4 - 356621957/50112184*c_1001_0^3 + 175736769/50112184*c_1001_0^2 - 25358769/12528046*c_1001_0 - 47714695/50112184, c_0101_3 + 8971697/12528046*c_1001_0^12 + 31616687/12528046*c_1001_0^11 - 99668871/12528046*c_1001_0^10 + 217547279/12528046*c_1001_0^9 - 81782211/12528046*c_1001_0^8 - 129415230/6264023*c_1001_0^7 + 26569443/6264023*c_1001_0^6 - 140786125/12528046*c_1001_0^5 + 39910095/6264023*c_1001_0^4 - 80711469/12528046*c_1001_0^3 + 24088861/12528046*c_1001_0^2 - 16484505/12528046*c_1001_0 - 19889049/12528046, c_0101_5 + 16437895/25056092*c_1001_0^12 + 59703139/25056092*c_1001_0^11 - 44339793/6264023*c_1001_0^10 + 376461479/25056092*c_1001_0^9 - 91387341/25056092*c_1001_0^8 - 527133235/25056092*c_1001_0^7 + 19017679/6264023*c_1001_0^6 - 52523688/6264023*c_1001_0^5 + 49973559/25056092*c_1001_0^4 - 40835513/12528046*c_1001_0^3 + 17023503/25056092*c_1001_0^2 - 28876545/25056092*c_1001_0 - 8039074/6264023, c_1001_0^13 + 3*c_1001_0^12 - 13*c_1001_0^11 + 30*c_1001_0^10 - 21*c_1001_0^9 - 26*c_1001_0^8 + 23*c_1001_0^7 - 17*c_1001_0^6 + 13*c_1001_0^5 - 12*c_1001_0^4 + 6*c_1001_0^3 - 3*c_1001_0^2 - c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB