Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 307465920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1335 geometric_solution 5.21316708 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 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 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 1.710620439479 0.806532728691 0 0 1 1 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.738279689819 0.152716674962 3 0 0 4 0132 0132 1023 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 1 0 -1 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 0.025860617696 0.284940646059 2 4 5 5 0132 2310 0132 0321 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 -1 0 1 -1 0 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 0.536914575911 1.291901868848 6 6 2 3 0132 1230 0132 3201 0 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 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 -2 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536914575911 1.291901868848 6 3 6 3 3120 0321 3012 0132 1 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 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 0.725684386737 0.660046996913 4 5 4 5 0132 1230 3012 3120 0 0 0 1 0 0 -1 1 0 0 0 0 1 -1 0 0 -1 0 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725684386737 0.660046996913 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), '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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0011_5']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 135089643/322807606*c_0101_3^7 + 4855490/14673073*c_0101_3^6 - 2343098795/1291230424*c_0101_3^5 - 6624913315/1291230424*c_0101_3^4 - 5183264753/645615212*c_0101_3^3 + 9137084431/1291230424*c_0101_3^2 + 1670703428/161403803*c_0101_3 - 1642059855/1291230424, c_0011_0 - 1, c_0011_4 - 73069/4546586*c_0101_3^7 + 68534/2273293*c_0101_3^6 - 1765741/18186344*c_0101_3^5 - 1519773/18186344*c_0101_3^4 - 1979851/9093172*c_0101_3^3 + 12306329/18186344*c_0101_3^2 - 100709/206663*c_0101_3 - 7048689/18186344, c_0011_5 - 73069/4546586*c_0101_3^7 + 68534/2273293*c_0101_3^6 - 1765741/18186344*c_0101_3^5 - 1519773/18186344*c_0101_3^4 - 1979851/9093172*c_0101_3^3 + 12306329/18186344*c_0101_3^2 + 105954/206663*c_0101_3 - 7048689/18186344, c_0101_0 - 11015/239294*c_0101_3^7 + 4062/119647*c_0101_3^6 - 160999/957176*c_0101_3^5 - 570175/957176*c_0101_3^4 - 359561/478588*c_0101_3^3 + 83145/87016*c_0101_3^2 + 212966/119647*c_0101_3 - 12873/87016, c_0101_1 + 16261/206663*c_0101_3^7 - 66384/2273293*c_0101_3^6 + 3031911/9093172*c_0101_3^5 + 10077979/9093172*c_0101_3^4 + 8856229/4546586*c_0101_3^3 - 4535347/9093172*c_0101_3^2 - 4994766/2273293*c_0101_3 - 9411453/9093172, c_0101_3^8 - c_0101_3^7 + 17/4*c_0101_3^6 + 11*c_0101_3^5 + 65/4*c_0101_3^4 - 107/4*c_0101_3^3 - 127/4*c_0101_3^2 + 21/4*c_0101_3 + 71/4, c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB