Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 2850567555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0036 geometric_solution 3.60598644 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.441238289513 0.060978367203 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571571970589 0.013312701413 3 0 3 0 0132 0132 2310 1023 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 -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 -2.327084742496 1.652527716978 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 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 0.515253213572 0.626705172521 5 6 5 3 1302 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -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 0.746912439077 0.256623856113 6 4 3 4 2310 2031 0132 1302 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 0 0 0 0 0 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746912439077 0.256623856113 6 4 5 6 3012 0132 3201 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 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 0.802514461524 0.411431568743 ==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' : negation(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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_4']), '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_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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_3']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 8566246241/19777654320*c_0101_6^15 - 11836779785/1977765432*c_0101_6^13 - 980486672737/19777654320*c_0101_6^11 - 205154713197/824068930*c_0101_6^9 - 3503752320293/4944413580*c_0101_6^7 - 19989602966761/19777654320*c_0101_6^5 - 999548541503/1648137860*c_0101_6^3 - 121786032809/4944413580*c_0101_6, c_0011_0 - 1, c_0011_4 + 470363/576848251*c_0101_6^14 + 15397257/2307393004*c_0101_6^12 + 44107277/1153696502*c_0101_6^10 + 88217757/2307393004*c_0101_6^8 - 318063492/576848251*c_0101_6^6 - 1370972905/576848251*c_0101_6^4 - 745649989/329627572*c_0101_6^2 - 134250167/576848251, c_0101_0 + 94810369/18459144032*c_0101_6^15 + 620102891/9229572016*c_0101_6^13 + 9988905637/18459144032*c_0101_6^11 + 11967638135/4614786008*c_0101_6^9 + 7855739383/1153696502*c_0101_6^7 + 157310335257/18459144032*c_0101_6^5 + 384071220/82406893*c_0101_6^3 + 198806851/1153696502*c_0101_6, c_0101_1 + 26553613/9229572016*c_0101_6^14 + 167384251/4614786008*c_0101_6^12 + 2656013505/9229572016*c_0101_6^10 + 3079600301/2307393004*c_0101_6^8 + 1908250378/576848251*c_0101_6^6 + 33137186965/9229572016*c_0101_6^4 + 169797415/164813786*c_0101_6^2 - 418550334/576848251, c_0101_2 - 9700121/2307393004*c_0101_6^14 - 129066773/2307393004*c_0101_6^12 - 1044549551/2307393004*c_0101_6^10 - 5031881835/2307393004*c_0101_6^8 - 3304217146/576848251*c_0101_6^6 - 15456361153/2307393004*c_0101_6^4 - 709560849/329627572*c_0101_6^2 + 199955685/576848251, c_0101_3 - 158297917/18459144032*c_0101_6^15 - 1054978193/9229572016*c_0101_6^13 - 17181782281/18459144032*c_0101_6^11 - 2616297016/576848251*c_0101_6^9 - 7087436326/576848251*c_0101_6^7 - 297203157941/18459144032*c_0101_6^5 - 5894690575/659255144*c_0101_6^3 - 426587613/1153696502*c_0101_6, c_0101_6^16 + 14*c_0101_6^14 + 117*c_0101_6^12 + 596*c_0101_6^10 + 1744*c_0101_6^8 + 2649*c_0101_6^6 + 1880*c_0101_6^4 + 400*c_0101_6^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB