Magma V2.19-8 Tue Aug 20 2013 16:16:50 on localhost [Seed = 3052677475] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1105 geometric_solution 4.96983094 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 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 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 0.378042100937 0.050980469046 2 0 2 0 0132 0132 2310 1023 0 0 0 0 0 1 -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 0 0 0 0 -1 1 0 -2 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 -1.430742352679 1.119677985538 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -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 0 0 2 0 -1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725680143633 1.077732021238 4 5 6 2 1302 0132 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 0 0 0 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742767295713 0.449287112273 5 3 2 6 2310 2031 0132 2310 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 -1 0 1 0 0 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742767295713 0.449287112273 6 3 4 6 1230 0132 3201 3012 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 0.507162560454 0.298108857662 4 5 5 3 3201 3012 1230 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 -1 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485534591425 0.898574224546 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} 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_3, c_0011_6, c_0101_1, c_0101_2, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 4785/224*c_0110_0^12 + 3797/224*c_0110_0^11 + 7479/32*c_0110_0^10 - 1725/14*c_0110_0^9 - 219001/224*c_0110_0^8 + 27481/112*c_0110_0^7 + 106373/56*c_0110_0^6 + 9/2*c_0110_0^5 - 180259/112*c_0110_0^4 - 61471/224*c_0110_0^3 + 13265/32*c_0110_0^2 + 14697/224*c_0110_0 - 9273/112, c_0011_0 - 1, c_0011_3 + 1/2*c_0101_5*c_0110_0^12 - 1/2*c_0101_5*c_0110_0^11 - 11/2*c_0101_5*c_0110_0^10 + 4*c_0101_5*c_0110_0^9 + 47/2*c_0101_5*c_0110_0^8 - 21/2*c_0101_5*c_0110_0^7 - 48*c_0101_5*c_0110_0^6 + 19/2*c_0101_5*c_0110_0^5 + 46*c_0101_5*c_0110_0^4 - 3/2*c_0101_5*c_0110_0^3 - 35/2*c_0101_5*c_0110_0^2 - c_0101_5*c_0110_0 + 3*c_0101_5, c_0011_6 - c_0110_0^6 + 5*c_0110_0^4 - 6*c_0110_0^2 + 1, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 + c_0110_0^2 - 1, c_0101_5^2 - 1/2*c_0110_0^12 + 5*c_0110_0^10 - 1/2*c_0110_0^9 - 37/2*c_0110_0^8 + 7/2*c_0110_0^7 + 31*c_0110_0^6 - 8*c_0110_0^5 - 23*c_0110_0^4 + 13/2*c_0110_0^3 + 6*c_0110_0^2 - c_0110_0 - 1/2, c_0110_0^13 - 2*c_0110_0^12 - 10*c_0110_0^11 + 19*c_0110_0^10 + 39*c_0110_0^9 - 67*c_0110_0^8 - 76*c_0110_0^7 + 108*c_0110_0^6 + 78*c_0110_0^5 - 79*c_0110_0^4 - 38*c_0110_0^3 + 20*c_0110_0^2 + 9*c_0110_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB