Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 2193825363] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1347 geometric_solution 5.21882675 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735013959620 0.199044369221 0 0 1 1 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572854270846 0.101872339192 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 0 -1 0 1 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 0.784057572715 0.958264505572 2 5 4 6 0132 0132 3012 0132 1 0 0 0 0 1 -1 0 0 0 0 0 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 -1 0 1 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 1.461253696619 1.298619555172 5 3 6 2 2310 1230 2310 0132 0 0 0 1 0 0 0 0 0 0 1 -1 0 1 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 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 1.461253696619 1.298619555172 6 3 4 6 0132 0132 3201 0213 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 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.272553809888 0.656976586447 5 4 3 5 0132 3201 0132 0213 1 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 -1 1 -1 0 1 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 0.272553809888 0.656976586447 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 11/38*c_0101_4^10 - 159/304*c_0101_4^9 - 207/304*c_0101_4^8 + 1041/304*c_0101_4^7 - 587/152*c_0101_4^6 - 799/304*c_0101_4^5 + 421/38*c_0101_4^4 - 2999/304*c_0101_4^3 - 177/152*c_0101_4^2 + 717/76*c_0101_4 - 261/38, c_0011_0 - 1, c_0011_4 + 1, c_0101_0 + 9/80*c_0101_4^10 - 3/16*c_0101_4^9 - 7/16*c_0101_4^8 + 59/40*c_0101_4^7 - 83/80*c_0101_4^6 - 23/10*c_0101_4^5 + 429/80*c_0101_4^4 - 113/40*c_0101_4^3 - 31/10*c_0101_4^2 + 11/2*c_0101_4 - 12/5, c_0101_1 + 3/40*c_0101_4^10 - 1/4*c_0101_4^8 + 21/40*c_0101_4^7 - 1/40*c_0101_4^6 - 43/40*c_0101_4^5 + 73/40*c_0101_4^4 - 37/40*c_0101_4^3 - 7/5*c_0101_4^2 + 5/2*c_0101_4 - 8/5, c_0101_2 + 1/5*c_0101_4^10 - c_0101_4^8 + 7/5*c_0101_4^7 + 8/5*c_0101_4^6 - 26/5*c_0101_4^5 + 11/5*c_0101_4^4 + 31/5*c_0101_4^3 - 37/5*c_0101_4^2 - c_0101_4 + 27/5, c_0101_3 - 11/80*c_0101_4^10 - 1/16*c_0101_4^9 + 11/16*c_0101_4^8 - 13/20*c_0101_4^7 - 123/80*c_0101_4^6 + 123/40*c_0101_4^5 + 9/80*c_0101_4^4 - 99/20*c_0101_4^3 + 63/20*c_0101_4^2 + 3*c_0101_4 - 17/5, c_0101_4^11 - c_0101_4^10 - 5*c_0101_4^9 + 12*c_0101_4^8 + c_0101_4^7 - 34*c_0101_4^6 + 37*c_0101_4^5 + 20*c_0101_4^4 - 68*c_0101_4^3 + 32*c_0101_4^2 + 32*c_0101_4 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB