Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 1579139703] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0037 geometric_solution 3.60598644 oriented_manifold CS_known -0.0000000000000002 1 0 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 2.331862783650 0.072458828191 0 2 2 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 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 -1.223875826009 0.307335786482 1 1 3 3 2310 0132 0132 3201 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 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 0.241087144541 0.119745428625 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 -1 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 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 0.217232155283 0.952084614411 3 6 5 6 0132 0132 3012 1023 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 1 0 -1 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 1.948189370604 1.975410671701 6 4 6 3 2310 1230 3201 0132 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 0 -1 1 0 -1 0 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 1.948189370604 1.975410671701 5 4 5 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013267998998 0.505875862137 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_5' : negation(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_0011_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], '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' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_0011_5, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 8566246241/19777654320*c_0101_5^15 - 11836779785/1977765432*c_0101_5^13 - 980486672737/19777654320*c_0101_5^11 - 205154713197/824068930*c_0101_5^9 - 3503752320293/4944413580*c_0101_5^7 - 19989602966761/19777654320*c_0101_5^5 - 999548541503/1648137860*c_0101_5^3 - 121786032809/4944413580*c_0101_5, c_0011_0 - 1, c_0011_1 + 26553613/9229572016*c_0101_5^14 + 167384251/4614786008*c_0101_5^12 + 2656013505/9229572016*c_0101_5^10 + 3079600301/2307393004*c_0101_5^8 + 1908250378/576848251*c_0101_5^6 + 33137186965/9229572016*c_0101_5^4 + 169797415/164813786*c_0101_5^2 - 418550334/576848251, c_0011_3 + 9700121/2307393004*c_0101_5^14 + 129066773/2307393004*c_0101_5^12 + 1044549551/2307393004*c_0101_5^10 + 5031881835/2307393004*c_0101_5^8 + 3304217146/576848251*c_0101_5^6 + 15456361153/2307393004*c_0101_5^4 + 709560849/329627572*c_0101_5^2 - 199955685/576848251, c_0011_5 - 470363/576848251*c_0101_5^14 - 15397257/2307393004*c_0101_5^12 - 44107277/1153696502*c_0101_5^10 - 88217757/2307393004*c_0101_5^8 + 318063492/576848251*c_0101_5^6 + 1370972905/576848251*c_0101_5^4 + 745649989/329627572*c_0101_5^2 + 134250167/576848251, c_0101_0 - 94810369/18459144032*c_0101_5^15 - 620102891/9229572016*c_0101_5^13 - 9988905637/18459144032*c_0101_5^11 - 11967638135/4614786008*c_0101_5^9 - 7855739383/1153696502*c_0101_5^7 - 157310335257/18459144032*c_0101_5^5 - 384071220/82406893*c_0101_5^3 - 198806851/1153696502*c_0101_5, c_0101_2 + 158297917/18459144032*c_0101_5^15 + 1054978193/9229572016*c_0101_5^13 + 17181782281/18459144032*c_0101_5^11 + 2616297016/576848251*c_0101_5^9 + 7087436326/576848251*c_0101_5^7 + 297203157941/18459144032*c_0101_5^5 + 5894690575/659255144*c_0101_5^3 + 426587613/1153696502*c_0101_5, c_0101_5^16 + 14*c_0101_5^14 + 117*c_0101_5^12 + 596*c_0101_5^10 + 1744*c_0101_5^8 + 2649*c_0101_5^6 + 1880*c_0101_5^4 + 400*c_0101_5^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB