Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 3869735627] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0003 geometric_solution 3.47039573 oriented_manifold CS_known -0.0000000000000007 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 -0.433853097256 0.035222179054 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 5.208788028065 0.851357721923 3 1 1 3 0132 3201 0132 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 -0.196136409273 0.086371495653 2 2 4 4 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 3.239543946893 2.553966174819 5 3 3 6 0132 3201 0132 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 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 0.129231571275 0.459728053073 4 6 6 6 0132 2310 3201 0321 0 0 0 0 0 -1 0 1 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 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 0.061589331708 1.029164517337 5 5 4 5 2310 0321 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 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 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 0.061589331708 1.029164517337 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : 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' : negation(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_0011_4'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_5']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_6'])})} 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_4, c_0011_6, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 54182935/3187764*c_0101_5^9 + 200921491/6375528*c_0101_5^8 + 132335537/6375528*c_0101_5^7 - 127998145/1593882*c_0101_5^6 - 131459963/2125176*c_0101_5^5 + 195811465/1593882*c_0101_5^4 + 120591347/796941*c_0101_5^3 + 128508149/6375528*c_0101_5^2 + 410541929/6375528*c_0101_5 - 2697947/6375528, c_0011_0 - 1, c_0011_2 - 25001/88549*c_0101_5^9 + 97257/177098*c_0101_5^8 + 46929/177098*c_0101_5^7 - 120139/88549*c_0101_5^6 - 171685/177098*c_0101_5^5 + 225972/88549*c_0101_5^4 + 163707/88549*c_0101_5^3 - 108631/177098*c_0101_5^2 + 226341/177098*c_0101_5 + 151419/177098, c_0011_4 - 25679/88549*c_0101_5^9 + 127039/177098*c_0101_5^8 + 5459/177098*c_0101_5^7 - 139020/88549*c_0101_5^6 - 42191/177098*c_0101_5^5 + 252756/88549*c_0101_5^4 + 82176/88549*c_0101_5^3 - 147661/177098*c_0101_5^2 + 262705/177098*c_0101_5 + 2115/177098, c_0011_6 - 35677/88549*c_0101_5^9 + 120073/177098*c_0101_5^8 + 101799/177098*c_0101_5^7 - 146574/88549*c_0101_5^6 - 314751/177098*c_0101_5^5 + 203409/88549*c_0101_5^4 + 386011/88549*c_0101_5^3 + 362887/177098*c_0101_5^2 + 279139/177098*c_0101_5 + 835/177098, c_0101_1 - 54160/88549*c_0101_5^9 + 72604/88549*c_0101_5^8 + 106268/88549*c_0101_5^7 - 189943/88549*c_0101_5^6 - 343516/88549*c_0101_5^5 + 229879/88549*c_0101_5^4 + 684685/88549*c_0101_5^3 + 411122/88549*c_0101_5^2 + 219520/88549*c_0101_5 + 21934/88549, c_0101_3 - 11962/88549*c_0101_5^9 - 7887/88549*c_0101_5^8 + 69341/88549*c_0101_5^7 - 4521/88549*c_0101_5^6 - 214632/88549*c_0101_5^5 - 15643/88549*c_0101_5^4 + 355248/88549*c_0101_5^3 + 350766/88549*c_0101_5^2 + 44691/88549*c_0101_5 + 39355/88549, c_0101_5^10 - 3/2*c_0101_5^9 - 2*c_0101_5^8 + 9/2*c_0101_5^7 + 11/2*c_0101_5^6 - 13/2*c_0101_5^5 - 12*c_0101_5^4 - 7/2*c_0101_5^3 - 3*c_0101_5^2 - c_0101_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB