Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 1157945767] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2050 geometric_solution 5.57931278 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.410921934333 0.499361922029 0 4 3 0 0132 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.907905129571 0.333749049142 5 0 3 4 0132 0132 3120 0213 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 0 0 0 1 0 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 -1.868229963221 2.118286803939 1 6 2 0 2310 0132 3120 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811031776451 0.603501644043 5 1 6 2 1023 0132 0321 0213 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 0 0 0 0 0 0 0 -1 0 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 0.472511252832 1.509043756442 2 4 6 6 0132 1023 1302 2103 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 1 -1 0 -1 0 0 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 0.029684313032 0.356691384755 5 3 4 5 2031 0132 0321 2103 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 -1 0 1 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 0 0 0 0.410921934333 0.499361922029 ==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' : 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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_0, c_0101_2, c_0101_3, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 241/2*c_1001_0^7 + 1765/7*c_1001_0^6 + 89*c_1001_0^5 - 1964/7*c_1001_0^4 - 4299/14*c_1001_0^3 - 67/7*c_1001_0^2 + 1977/14*c_1001_0 + 408/7, c_0011_0 - 1, c_0011_3 - 35*c_1001_0^7 - 71*c_1001_0^6 - 28*c_1001_0^5 + 72*c_1001_0^4 + 80*c_1001_0^3 + 6*c_1001_0^2 - 34*c_1001_0 - 13, c_0101_0 + 7*c_1001_0^7 + 10*c_1001_0^6 + c_1001_0^5 - 13*c_1001_0^4 - 8*c_1001_0^3 + c_1001_0^2 + 5*c_1001_0 + 1, c_0101_2 - 35*c_1001_0^7 - 64*c_1001_0^6 - 18*c_1001_0^5 + 66*c_1001_0^4 + 64*c_1001_0^3 - 27*c_1001_0 - 10, c_0101_3 - 21*c_1001_0^7 - 51*c_1001_0^6 - 26*c_1001_0^5 + 46*c_1001_0^4 + 57*c_1001_0^3 + 5*c_1001_0^2 - 23*c_1001_0 - 8, c_0101_4 - 63*c_1001_0^7 - 125*c_1001_0^6 - 45*c_1001_0^5 + 125*c_1001_0^4 + 129*c_1001_0^3 + 4*c_1001_0^2 - 54*c_1001_0 - 18, c_1001_0^8 + 17/7*c_1001_0^7 + 11/7*c_1001_0^6 - 12/7*c_1001_0^5 - 3*c_1001_0^4 - c_1001_0^3 + 6/7*c_1001_0^2 + 5/7*c_1001_0 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB