Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 1848636183] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3297 geometric_solution 6.42795092 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524096387129 0.343151651803 0 3 0 4 0132 0132 1023 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 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 0.664484668755 0.874427496887 5 0 4 0 0132 0132 2310 1023 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 -1 1 0 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664484668755 0.874427496887 6 1 4 5 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197139664796 0.745817696999 5 2 1 3 3120 3201 0132 1302 0 0 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995060742483 0.872591521004 2 6 3 4 0132 0132 2031 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197139664796 0.745817696999 3 5 6 6 0132 0132 2031 1302 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 0 0 0 0.729146316174 2.100979307381 ==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' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), '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_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_5']})} 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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 168629265/1698112*c_0101_6^9 + 667966759/1698112*c_0101_6^8 - 558158019/849056*c_0101_6^7 + 998319567/1698112*c_0101_6^6 - 240183741/849056*c_0101_6^5 + 29173745/424528*c_0101_6^4 - 28934235/1698112*c_0101_6^3 + 26045211/1698112*c_0101_6^2 - 3282005/849056*c_0101_6 + 2130325/1698112, c_0011_0 - 1, c_0011_4 + 7825797/424528*c_0101_6^9 - 24305893/424528*c_0101_6^8 + 12952691/212264*c_0101_6^7 - 8241139/424528*c_0101_6^6 - 417719/53066*c_0101_6^5 + 95671/212264*c_0101_6^4 + 2393301/424528*c_0101_6^3 - 280815/424528*c_0101_6^2 - 275617/106132*c_0101_6 - 96099/424528, c_0101_0 + c_0101_5, c_0101_1 + 10600443/424528*c_0101_5*c_0101_6^9 - 40185087/424528*c_0101_5*c_0101_6^8 + 30427565/212264*c_0101_5*c_0101_6^7 - 45222897/424528*c_0101_5*c_0101_6^6 + 876703/26533*c_0101_5*c_0101_6^5 + 977355/212264*c_0101_5*c_0101_6^4 - 2199801/424528*c_0101_5*c_0101_6^3 - 641629/424528*c_0101_5*c_0101_6^2 - 21763/53066*c_0101_5*c_0101_6 + 188219/424528*c_0101_5, c_0101_2 - 32799501/424528*c_0101_5*c_0101_6^9 + 91126117/424528*c_0101_5*c_0101_6^8 - 40006491/212264*c_0101_5*c_0101_6^7 + 8724691/424528*c_0101_5*c_0101_6^6 + 2679325/53066*c_0101_5*c_0101_6^5 - 108995/212264*c_0101_5*c_0101_6^4 - 8659317/424528*c_0101_5*c_0101_6^3 + 1352047/424528*c_0101_5*c_0101_6^2 + 1101207/106132*c_0101_5*c_0101_6 + 1500667/424528*c_0101_5, c_0101_5^2 - 38265129/849056*c_0101_6^9 + 108862425/849056*c_0101_6^8 - 46984179/424528*c_0101_6^7 - 2957137/849056*c_0101_6^6 + 1417296/26533*c_0101_6^5 - 5819291/424528*c_0101_6^4 - 9454129/849056*c_0101_6^3 + 3038963/849056*c_0101_6^2 + 1216563/212264*c_0101_6 + 1309543/849056, c_0101_6^10 - 160/63*c_0101_6^9 + 107/63*c_0101_6^8 + 11/21*c_0101_6^7 - 19/21*c_0101_6^6 - 2/21*c_0101_6^5 + 17/63*c_0101_6^4 + 2/63*c_0101_6^3 - 1/7*c_0101_6^2 - 5/63*c_0101_6 - 1/63 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB