Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 1360055670] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s097 geometric_solution 3.93531466 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.045912015306 0.454426677316 0 0 3 2 0132 3201 0132 0132 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 -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 1.329032083140 0.911538949764 4 3 1 5 0132 2031 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556436114247 0.511004768582 2 4 5 1 1302 2310 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.308837536795 0.277774295019 2 5 5 3 0132 1302 3201 3201 0 0 0 0 0 1 0 -1 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 0.270077672216 0.452902703526 4 3 2 4 2310 1230 0132 2031 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.482641963106 0.828775123905 ==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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 43388703/943865*c_0101_4^8 + 41598462/943865*c_0101_4^7 + 104183840/188773*c_0101_4^6 - 495863696/943865*c_0101_4^5 - 3348124683/943865*c_0101_4^4 - 494350962/188773*c_0101_4^3 + 356334994/188773*c_0101_4^2 + 2509882168/943865*c_0101_4 + 634722434/943865, c_0011_0 - 1, c_0011_2 - 9060/188773*c_0101_4^8 + 33028/188773*c_0101_4^7 + 65684/188773*c_0101_4^6 - 375330/188773*c_0101_4^5 - 155999/188773*c_0101_4^4 + 1001725/188773*c_0101_4^3 + 143786/188773*c_0101_4^2 - 705707/188773*c_0101_4 - 5567/188773, c_0011_3 - 38266/188773*c_0101_4^8 + 54154/188773*c_0101_4^7 + 444778/188773*c_0101_4^6 - 662639/188773*c_0101_4^5 - 2744593/188773*c_0101_4^4 - 674900/188773*c_0101_4^3 + 2266833/188773*c_0101_4^2 + 1153907/188773*c_0101_4 - 54475/188773, c_0101_0 - 75204/188773*c_0101_4^8 + 132387/188773*c_0101_4^7 + 777499/188773*c_0101_4^6 - 1436533/188773*c_0101_4^5 - 4487534/188773*c_0101_4^4 - 1147422/188773*c_0101_4^3 + 3187762/188773*c_0101_4^2 + 2025125/188773*c_0101_4 - 47960/188773, c_0101_1 - 56287/188773*c_0101_4^8 + 61592/188773*c_0101_4^7 + 688192/188773*c_0101_4^6 - 795998/188773*c_0101_4^5 - 4393737/188773*c_0101_4^4 - 2018740/188773*c_0101_4^3 + 3268296/188773*c_0101_4^2 + 2115055/188773*c_0101_4 - 27231/188773, c_0101_4^9 - c_0101_4^8 - 12*c_0101_4^7 + 12*c_0101_4^6 + 77*c_0101_4^5 + 53*c_0101_4^4 - 45*c_0101_4^3 - 56*c_0101_4^2 - 11*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB