Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 762098153] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2175 geometric_solution 5.64148885 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.319505173429 0.371672350387 0 5 5 4 0132 0132 1023 1230 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 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 0 0 0 0 0 0 0 0 0.832169792250 0.664407302421 4 0 5 3 3012 0132 1230 1230 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 0 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 1.131868754778 0.618203554224 2 6 6 0 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574031472526 0.913536598003 1 5 0 2 3012 3012 0132 1230 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 -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 -0.642613366392 1.414824496374 4 1 1 2 1230 0132 1023 3012 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832169792250 0.664407302421 6 3 3 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.461032162550 0.408302652524 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0101_1'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_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_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 101429734853/19578729744*c_0101_6^14 + 31608654205/13052486496*c_0101_6^13 - 1318678205323/19578729744*c_0101_6^12 + 42966001205/543853604*c_0101_6^11 - 4653134589869/13052486496*c_0101_6^10 + 1410985681307/3263121624*c_0101_6^9 - 3764964692171/5593922784*c_0101_6^8 + 6689309686771/9789364872*c_0101_6^7 - 170029216743/271926802*c_0101_6^6 + 20004743466833/39157459488*c_0101_6^5 - 879869958397/3263121624*c_0101_6^4 + 1838503715015/9789364872*c_0101_6^3 - 2210406369755/39157459488*c_0101_6^2 + 11707962167/466160232*c_0101_6 - 280231503673/39157459488, c_0011_0 - 1, c_0011_3 + 117703598/58270029*c_0101_6^14 + 23737871/19423343*c_0101_6^13 + 1623367234/58270029*c_0101_6^12 - 48778295/38846686*c_0101_6^11 + 2733525315/19423343*c_0101_6^10 - 481457787/19423343*c_0101_6^9 + 29004278699/116540058*c_0101_6^8 - 3821263273/116540058*c_0101_6^7 + 8374394795/38846686*c_0101_6^6 - 328557409/58270029*c_0101_6^5 + 3482371525/38846686*c_0101_6^4 + 302447123/58270029*c_0101_6^3 + 1384951469/116540058*c_0101_6^2 - 7340051/19423343*c_0101_6 - 73715092/58270029, c_0011_4 + 6077306/19423343*c_0101_6^14 + 50308443/19423343*c_0101_6^13 + 89094145/19423343*c_0101_6^12 + 611435403/19423343*c_0101_6^11 + 82910111/19423343*c_0101_6^10 + 3012251185/19423343*c_0101_6^9 - 1233653158/19423343*c_0101_6^8 + 5058942434/19423343*c_0101_6^7 - 1980636273/19423343*c_0101_6^6 + 4030026155/19423343*c_0101_6^5 - 1197319219/19423343*c_0101_6^4 + 1371364755/19423343*c_0101_6^3 - 390015010/19423343*c_0101_6^2 + 147358137/19423343*c_0101_6 - 87063816/19423343, c_0101_1 - 118862972/58270029*c_0101_6^14 + 19557768/19423343*c_0101_6^13 - 1560544129/58270029*c_0101_6^12 + 618643826/19423343*c_0101_6^11 - 2797933544/19423343*c_0101_6^10 + 3433309745/19423343*c_0101_6^9 - 16469059351/58270029*c_0101_6^8 + 16910741372/58270029*c_0101_6^7 - 5232391995/19423343*c_0101_6^6 + 13075409611/58270029*c_0101_6^5 - 2386391913/19423343*c_0101_6^4 + 5103937060/58270029*c_0101_6^3 - 1688860396/58270029*c_0101_6^2 + 282295482/19423343*c_0101_6 - 291218237/58270029, c_0101_2 + 118862972/58270029*c_0101_6^14 - 19557768/19423343*c_0101_6^13 + 1560544129/58270029*c_0101_6^12 - 618643826/19423343*c_0101_6^11 + 2797933544/19423343*c_0101_6^10 - 3433309745/19423343*c_0101_6^9 + 16469059351/58270029*c_0101_6^8 - 16910741372/58270029*c_0101_6^7 + 5232391995/19423343*c_0101_6^6 - 13075409611/58270029*c_0101_6^5 + 2386391913/19423343*c_0101_6^4 - 5103937060/58270029*c_0101_6^3 + 1688860396/58270029*c_0101_6^2 - 282295482/19423343*c_0101_6 + 291218237/58270029, c_0101_3 + 29146915/19423343*c_0101_6^14 + 61807891/38846686*c_0101_6^13 + 397430218/19423343*c_0101_6^12 + 153812226/19423343*c_0101_6^11 + 3704916237/38846686*c_0101_6^10 + 1066777777/38846686*c_0101_6^9 + 5265770599/38846686*c_0101_6^8 + 1108799243/19423343*c_0101_6^7 + 3520855297/38846686*c_0101_6^6 + 1210239290/19423343*c_0101_6^5 + 1026241353/38846686*c_0101_6^4 + 440714875/19423343*c_0101_6^3 - 17864477/19423343*c_0101_6^2 - 7933934/19423343*c_0101_6 - 35500386/19423343, c_0101_6^15 + 1/2*c_0101_6^14 + 14*c_0101_6^13 - 2*c_0101_6^12 + 147/2*c_0101_6^11 - 21*c_0101_6^10 + 289/2*c_0101_6^9 - 39*c_0101_6^8 + 148*c_0101_6^7 - 61/2*c_0101_6^6 + 83*c_0101_6^5 - 14*c_0101_6^4 + 47/2*c_0101_6^3 - 5*c_0101_6^2 + 5/2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB