Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 2160139452] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0166 geometric_solution 3.92459723 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 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 1.299328768344 0.162123575006 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 -1 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 1.056252822727 0.109445603663 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 1 -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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.299454956498 0.490287890682 2 5 6 1 2031 0132 0132 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 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 1.299454956498 0.490287890682 2 6 6 5 0132 0213 3012 1230 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 -1 1 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487593099563 0.297551673286 4 3 2 6 3012 0132 0132 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 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 -0.065470466409 0.393351908997 5 4 4 3 3012 1230 0213 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 1 -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 0.487593099563 0.297551673286 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_1001_1'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 83854/44459*c_1001_1^8 + 222845/44459*c_1001_1^7 + 1012263/44459*c_1001_1^6 - 1989602/44459*c_1001_1^5 - 3373963/44459*c_1001_1^4 - 1170807/44459*c_1001_1^3 + 1204636/44459*c_1001_1^2 + 35268/1933*c_1001_1 + 1023240/44459, c_0011_0 - 1, c_0011_1 - 3718/44459*c_1001_1^8 + 17352/44459*c_1001_1^7 + 20840/44459*c_1001_1^6 - 168390/44459*c_1001_1^5 + 87338/44459*c_1001_1^4 + 140059/44459*c_1001_1^3 - 91040/44459*c_1001_1^2 + 25924/44459*c_1001_1 - 38382/44459, c_0011_3 + 4824/44459*c_1001_1^8 - 16983/44459*c_1001_1^7 - 44820/44459*c_1001_1^6 + 159361/44459*c_1001_1^5 + 62861/44459*c_1001_1^4 - 38665/44459*c_1001_1^3 - 14885/44459*c_1001_1^2 - 88500/44459*c_1001_1 + 32623/44459, c_0011_6 + 4587/44459*c_1001_1^8 - 18857/44459*c_1001_1^7 - 36920/44459*c_1001_1^6 + 190705/44459*c_1001_1^5 + 714/44459*c_1001_1^4 - 208681/44459*c_1001_1^3 + 910/1933*c_1001_1^2 + 15484/44459*c_1001_1 + 22121/44459, c_0101_0 - 6931/44459*c_1001_1^8 + 26936/44459*c_1001_1^7 + 58352/44459*c_1001_1^6 - 262728/44459*c_1001_1^5 - 27620/44459*c_1001_1^4 + 174896/44459*c_1001_1^3 - 21019/44459*c_1001_1^2 + 116273/44459*c_1001_1 - 51026/44459, c_0101_3 - 4824/44459*c_1001_1^8 + 16983/44459*c_1001_1^7 + 44820/44459*c_1001_1^6 - 159361/44459*c_1001_1^5 - 62861/44459*c_1001_1^4 + 38665/44459*c_1001_1^3 + 14885/44459*c_1001_1^2 + 88500/44459*c_1001_1 - 32623/44459, c_1001_1^9 - 4*c_1001_1^8 - 8*c_1001_1^7 + 39*c_1001_1^6 - 28*c_1001_1^4 + 5*c_1001_1^3 - 11*c_1001_1^2 + 10*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB