Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 3137021562] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0415 geometric_solution 4.47552902 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 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 -0.692055727925 0.047977898212 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.058073764696 0.286736786843 3 1 1 3 0132 3201 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.516085052356 0.620003875283 2 4 5 2 0132 0132 0132 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 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 0.071116778536 0.355143667888 5 3 5 6 2310 0132 2103 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 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300363861092 1.130094515278 4 6 4 3 2103 2310 3201 0132 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 -1 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 0.300363861092 1.130094515278 6 6 4 5 1230 3012 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 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 0.780328517610 0.826496025554 ==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_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), '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_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 74807/829*c_0101_4^11 + 96661/829*c_0101_4^10 + 343047/829*c_0101_4^9 - 543796/829*c_0101_4^8 - 803708/829*c_0101_4^7 + 1404887/829*c_0101_4^6 + 1219164/829*c_0101_4^5 - 2386182/829*c_0101_4^4 - 486443/829*c_0101_4^3 + 1760344/829*c_0101_4^2 + 40033/829*c_0101_4 - 332224/829, c_0011_0 - 1, c_0011_2 - 393/829*c_0101_4^11 + 537/829*c_0101_4^10 + 1648/829*c_0101_4^9 - 2772/829*c_0101_4^8 - 3644/829*c_0101_4^7 + 6636/829*c_0101_4^6 + 5164/829*c_0101_4^5 - 10599/829*c_0101_4^4 - 1240/829*c_0101_4^3 + 5785/829*c_0101_4^2 + 1011/829*c_0101_4 - 399/829, c_0011_5 + 46/829*c_0101_1*c_0101_4^11 + 532/829*c_0101_1*c_0101_4^10 - 754/829*c_0101_1*c_0101_4^9 - 2422/829*c_0101_1*c_0101_4^8 + 3289/829*c_0101_1*c_0101_4^7 + 5773/829*c_0101_1*c_0101_4^6 - 7228/829*c_0101_1*c_0101_4^5 - 8796/829*c_0101_1*c_0101_4^4 + 10129/829*c_0101_1*c_0101_4^3 + 3451/829*c_0101_1*c_0101_4^2 - 4681/829*c_0101_1*c_0101_4 - 738/829*c_0101_1, c_0011_6 - 116/829*c_0101_1*c_0101_4^11 - 44/829*c_0101_1*c_0101_4^10 + 748/829*c_0101_1*c_0101_4^9 - 236/829*c_0101_1*c_0101_4^8 - 2491/829*c_0101_1*c_0101_4^7 + 1193/829*c_0101_1*c_0101_4^6 + 4855/829*c_0101_1*c_0101_4^5 - 2869/829*c_0101_1*c_0101_4^4 - 5899/829*c_0101_1*c_0101_4^3 + 4165/829*c_0101_1*c_0101_4^2 + 3298/829*c_0101_1*c_0101_4 + 167/829*c_0101_1, c_0101_0 - 439/829*c_0101_1*c_0101_4^11 + 5/829*c_0101_1*c_0101_4^10 + 2402/829*c_0101_1*c_0101_4^9 - 350/829*c_0101_1*c_0101_4^8 - 6933/829*c_0101_1*c_0101_4^7 + 863/829*c_0101_1*c_0101_4^6 + 12392/829*c_0101_1*c_0101_4^5 - 1803/829*c_0101_1*c_0101_4^4 - 11369/829*c_0101_1*c_0101_4^3 + 2334/829*c_0101_1*c_0101_4^2 + 5692/829*c_0101_1*c_0101_4 + 339/829*c_0101_1, c_0101_1^2 - 807/3316*c_0101_4^11 + 388/829*c_0101_4^10 + 2631/3316*c_0101_4^9 - 8331/3316*c_0101_4^8 - 2115/1658*c_0101_4^7 + 10085/1658*c_0101_4^6 + 974/829*c_0101_4^5 - 7936/829*c_0101_4^4 + 1977/829*c_0101_4^3 + 17005/3316*c_0101_4^2 - 813/1658*c_0101_4 - 3705/3316, c_0101_4^12 - c_0101_4^11 - 5*c_0101_4^10 + 6*c_0101_4^9 + 13*c_0101_4^8 - 16*c_0101_4^7 - 22*c_0101_4^6 + 28*c_0101_4^5 + 16*c_0101_4^4 - 23*c_0101_4^3 - 7*c_0101_4^2 + 5*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB