Magma V2.19-8 Tue Aug 20 2013 16:16:50 on localhost [Seed = 3650635023] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1104 geometric_solution 4.96983094 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959724781354 1.676271984101 0 4 2 3 0132 1302 3120 2031 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742767295713 0.449287112273 4 0 1 4 0213 0132 3120 2031 0 0 0 0 0 0 0 0 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 -1 1 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 0.534562745560 0.861380275205 5 1 5 0 0132 1302 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570124747186 0.638422215574 2 2 0 1 0213 1302 0132 2031 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 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 -0.465437254440 0.861380275205 3 3 6 6 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339385482787 0.156331851983 5 6 6 5 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.597962553789 0.350345501803 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0110_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_4, c_0011_6, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 549/7168*c_0101_3*c_0110_2^12 - 565/14336*c_0101_3*c_0110_2^11 + 607/3584*c_0101_3*c_0110_2^10 - 211/14336*c_0101_3*c_0110_2^9 - 635/1792*c_0101_3*c_0110_2^8 - 395/14336*c_0101_3*c_0110_2^7 + 261/3584*c_0101_3*c_0110_2^6 + 591/14336*c_0101_3*c_0110_2^5 - 2183/7168*c_0101_3*c_0110_2^4 + 347/3584*c_0101_3*c_0110_2^3 + 111/448*c_0101_3*c_0110_2^2 + 19/896*c_0101_3*c_0110_2 + 3/448*c_0101_3, c_0011_0 - 1, c_0011_3 + 1/8*c_0101_3*c_0110_2^12 - 1/16*c_0101_3*c_0110_2^11 - 5/16*c_0101_3*c_0110_2^10 - 1/16*c_0101_3*c_0110_2^9 + 7/16*c_0101_3*c_0110_2^8 + 3/16*c_0101_3*c_0110_2^7 - 7/16*c_0101_3*c_0110_2^6 - 19/16*c_0101_3*c_0110_2^5 + 19/16*c_0101_3*c_0110_2^4 - 7/8*c_0101_3*c_0110_2^3 + 1/2*c_0101_3*c_0110_2^2 - 3/2*c_0101_3*c_0110_2 + 2*c_0101_3, c_0011_4 - 1/8*c_0101_3*c_0110_2^11 - 1/16*c_0101_3*c_0110_2^10 + 1/2*c_0101_3*c_0110_2^9 + 3/16*c_0101_3*c_0110_2^8 - 3/4*c_0101_3*c_0110_2^7 + 1/16*c_0101_3*c_0110_2^6 + c_0101_3*c_0110_2^5 + 5/16*c_0101_3*c_0110_2^4 - 1/8*c_0101_3*c_0110_2^3 + 1/2*c_0101_3*c_0110_2^2 + 3/2*c_0101_3*c_0110_2, c_0011_6 + 3/16*c_0101_3*c_0110_2^12 + 3/32*c_0101_3*c_0110_2^11 - 1/2*c_0101_3*c_0110_2^10 - 13/32*c_0101_3*c_0110_2^9 + 3/4*c_0101_3*c_0110_2^8 + 21/32*c_0101_3*c_0110_2^7 - c_0101_3*c_0110_2^6 - 67/32*c_0101_3*c_0110_2^5 + 9/16*c_0101_3*c_0110_2^4 - 3/4*c_0101_3*c_0110_2^3 - c_0101_3*c_0110_2^2 - 5/2*c_0101_3*c_0110_2, c_0101_0 + 1/8*c_0101_3*c_0110_2^12 + 1/16*c_0101_3*c_0110_2^11 - 1/2*c_0101_3*c_0110_2^10 - 3/16*c_0101_3*c_0110_2^9 + c_0101_3*c_0110_2^8 + 1/16*c_0101_3*c_0110_2^7 - 5/4*c_0101_3*c_0110_2^6 - 5/16*c_0101_3*c_0110_2^5 + 7/8*c_0101_3*c_0110_2^4 - 5/8*c_0101_3*c_0110_2^3 - 5/4*c_0101_3*c_0110_2^2 + c_0101_3, c_0101_3^2 - 11/16*c_0110_2^12 - 11/32*c_0110_2^11 + 9/4*c_0110_2^10 + 41/32*c_0110_2^9 - 35/8*c_0110_2^8 - 53/32*c_0110_2^7 + 13/2*c_0110_2^6 + 191/32*c_0110_2^5 - 83/16*c_0110_2^4 + 5/4*c_0110_2^3 + 7*c_0110_2^2 + 8*c_0110_2, c_0110_2^13 - 1/2*c_0110_2^12 - 5/2*c_0110_2^11 + 3/2*c_0110_2^10 + 9/2*c_0110_2^9 - 9/2*c_0110_2^8 - 11/2*c_0110_2^7 + 1/2*c_0110_2^6 + 17/2*c_0110_2^5 - 17*c_0110_2^4 - 2*c_0110_2^3 - 8*c_0110_2^2 + 8*c_0110_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB