Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 357861845] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2145 geometric_solution 5.62710408 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453794844363 0.186546317175 2 0 3 0 0132 2310 0132 0132 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 1 0 0 -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 0.817130382795 1.371740793517 1 4 5 3 0132 0132 0132 1230 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 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 0 0 0 0.489975507011 0.597515282867 2 5 6 1 3012 3201 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 5 2 6 6 0132 0132 2103 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 4 6 3 2 0132 3201 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.148610964035 0.641628069506 4 4 5 3 2103 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 ==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' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], '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_0011_0'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : 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_1, c_0011_3, c_0011_6, c_0101_5, c_0110_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 614308/128313*c_1001_2^12 - 350441/128313*c_1001_2^11 + 4280906/128313*c_1001_2^10 + 659131/14257*c_1001_2^9 - 9433339/128313*c_1001_2^8 - 14372558/128313*c_1001_2^7 + 14665520/128313*c_1001_2^6 + 17531438/128313*c_1001_2^5 - 10968305/128313*c_1001_2^4 - 6020266/128313*c_1001_2^3 + 1976095/42771*c_1001_2^2 - 534214/128313*c_1001_2 - 344237/128313, c_0011_0 - 1, c_0011_1 + 4520/14257*c_1001_2^12 - 376/14257*c_1001_2^11 - 35043/14257*c_1001_2^10 - 24915/14257*c_1001_2^9 + 107827/14257*c_1001_2^8 + 83616/14257*c_1001_2^7 - 182801/14257*c_1001_2^6 - 94931/14257*c_1001_2^5 + 161695/14257*c_1001_2^4 + 33023/14257*c_1001_2^3 - 52765/14257*c_1001_2^2 + 23770/14257*c_1001_2 + 6782/14257, c_0011_3 + 7251/14257*c_1001_2^12 + 9137/14257*c_1001_2^11 - 51898/14257*c_1001_2^10 - 107516/14257*c_1001_2^9 + 90207/14257*c_1001_2^8 + 289551/14257*c_1001_2^7 - 103736/14257*c_1001_2^6 - 418147/14257*c_1001_2^5 + 38077/14257*c_1001_2^4 + 254627/14257*c_1001_2^3 - 28706/14257*c_1001_2^2 - 58229/14257*c_1001_2 + 8022/14257, c_0011_6 - 1886/14257*c_1001_2^12 + 1141/14257*c_1001_2^11 + 13253/14257*c_1001_2^10 + 4056/14257*c_1001_2^9 - 43017/14257*c_1001_2^8 - 12280/14257*c_1001_2^7 + 70099/14257*c_1001_2^6 + 12680/14257*c_1001_2^5 - 44348/14257*c_1001_2^4 - 298/14257*c_1001_2^3 - 14036/14257*c_1001_2^2 - 771/14257*c_1001_2 + 21508/14257, c_0101_5 + c_1001_2, c_0110_0 + 4863/14257*c_1001_2^12 + 13802/14257*c_1001_2^11 - 20679/14257*c_1001_2^10 - 120659/14257*c_1001_2^9 - 78709/14257*c_1001_2^8 + 218577/14257*c_1001_2^7 + 245291/14257*c_1001_2^6 - 242090/14257*c_1001_2^5 - 370403/14257*c_1001_2^4 + 35980/14257*c_1001_2^3 + 143444/14257*c_1001_2^2 - 2404/14257*c_1001_2 - 24933/14257, c_1001_2^13 + c_1001_2^12 - 7*c_1001_2^11 - 13*c_1001_2^10 + 13*c_1001_2^9 + 34*c_1001_2^8 - 16*c_1001_2^7 - 48*c_1001_2^6 + 7*c_1001_2^5 + 29*c_1001_2^4 - 4*c_1001_2^3 - 8*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB