Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 3103335513] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1901 geometric_solution 5.51194582 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.843228499486 0.417773397070 0 0 3 2 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684108127770 0.898403277628 4 3 1 5 0132 2031 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 -1 0 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 0.657209308390 0.376002972816 2 4 6 1 1302 2310 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 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657209308390 0.376002972816 2 6 5 3 0132 1230 1230 3201 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 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 0.652098450031 0.313746377697 6 6 2 4 1302 2031 0132 3012 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 -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 0 0 0 0.585173094101 1.429549009891 5 5 4 3 1302 2031 3012 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 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 0.585173094101 1.429549009891 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(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_1001_4']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_6']), '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_5'], 'c_0011_4' : negation(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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], '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' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], '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_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 20305/53872*c_1001_4^10 + 92247/53872*c_1001_4^9 + 1415/6734*c_1001_4^8 - 487649/53872*c_1001_4^7 - 461919/26936*c_1001_4^6 - 337609/13468*c_1001_4^5 - 241749/6734*c_1001_4^4 - 17897/3367*c_1001_4^3 + 65439/3367*c_1001_4^2 - 107109/3367*c_1001_4 - 114525/3367, c_0011_0 - 1, c_0011_2 - 17/3848*c_1001_4^10 - 15/3848*c_1001_4^9 + 79/3848*c_1001_4^8 - 23/1924*c_1001_4^7 + 23/962*c_1001_4^6 + 1135/3848*c_1001_4^5 + 317/1924*c_1001_4^4 + 1149/1924*c_1001_4^3 + 991/962*c_1001_4^2 - 541/962*c_1001_4 + 161/481, c_0011_5 - 109/3848*c_1001_4^10 - 57/3848*c_1001_4^9 + 833/3848*c_1001_4^8 + 54/481*c_1001_4^7 - 34/481*c_1001_4^6 + 1575/3848*c_1001_4^5 - 474/481*c_1001_4^4 - 1835/1924*c_1001_4^3 + 66/37*c_1001_4^2 - 857/962*c_1001_4 + 79/481, c_0011_6 - 109/3848*c_1001_4^10 - 57/3848*c_1001_4^9 + 833/3848*c_1001_4^8 + 54/481*c_1001_4^7 - 34/481*c_1001_4^6 + 1575/3848*c_1001_4^5 - 474/481*c_1001_4^4 - 1835/1924*c_1001_4^3 + 66/37*c_1001_4^2 - 857/962*c_1001_4 + 79/481, c_0101_0 - 201/3848*c_1001_4^10 - 179/1924*c_1001_4^9 + 995/3848*c_1001_4^8 + 2057/3848*c_1001_4^7 + 2435/3848*c_1001_4^6 + 830/481*c_1001_4^5 + 314/481*c_1001_4^4 - 2377/1924*c_1001_4^3 + 1553/962*c_1001_4^2 - 1/37*c_1001_4 - 151/481, c_0101_1 + 245/3848*c_1001_4^10 + 109/962*c_1001_4^9 - 1169/3848*c_1001_4^8 - 2543/3848*c_1001_4^7 - 3387/3848*c_1001_4^6 - 1933/962*c_1001_4^5 - 1121/1924*c_1001_4^4 + 2337/1924*c_1001_4^3 - 1689/962*c_1001_4^2 - 164/481*c_1001_4 - 553/481, c_1001_4^11 + 4*c_1001_4^10 - c_1001_4^9 - 21*c_1001_4^8 - 35*c_1001_4^7 - 62*c_1001_4^6 - 84*c_1001_4^5 + 16*c_1001_4^3 - 64*c_1001_4^2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB