Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 2395935671] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2454 geometric_solution 5.79685185 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.850135542765 0.412156591572 0 3 1 1 0132 2031 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 0.785681498643 0.345132703538 5 0 5 6 0132 0132 1230 0132 0 0 0 0 0 1 -1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.293394324949 1.176053903688 1 4 5 0 1302 2031 0321 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 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 0.047577624807 0.461746557049 3 6 0 6 1302 2103 0132 1230 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671895838018 1.263609978580 2 6 3 2 0132 1302 0321 3012 0 0 0 0 0 0 0 0 0 0 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576764948411 0.384837960858 4 4 2 5 3012 2103 0132 2031 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184557549598 0.443922093282 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(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_0101_2'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0110_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : d['c_0110_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0101_2']), '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_0011_6']})} 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_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2245/272*c_0110_6^14 + 79/136*c_0110_6^13 + 717/17*c_0110_6^12 - 11941/272*c_0110_6^11 - 7955/68*c_0110_6^10 + 2819/16*c_0110_6^9 + 1705/17*c_0110_6^8 - 53237/136*c_0110_6^7 + 6479/68*c_0110_6^6 + 2859/8*c_0110_6^5 - 50409/136*c_0110_6^4 - 13259/272*c_0110_6^3 + 64501/272*c_0110_6^2 - 46309/272*c_0110_6 + 4493/136, c_0011_0 - 1, c_0011_3 + c_0110_6^3 - c_0110_6 + 1, c_0011_4 - c_0110_6, c_0011_6 + 1/4*c_0110_6^14 - 1/4*c_0110_6^13 - 3/2*c_0110_6^12 + 11/4*c_0110_6^11 + 15/4*c_0110_6^10 - 41/4*c_0110_6^9 - 7/4*c_0110_6^8 + 41/2*c_0110_6^7 - 9*c_0110_6^6 - 19*c_0110_6^5 + 41/2*c_0110_6^4 + 11/4*c_0110_6^3 - 13*c_0110_6^2 + 15/2*c_0110_6 - 5/4, c_0101_0 - 1/4*c_0110_6^14 - 1/4*c_0110_6^13 + 5/4*c_0110_6^12 - 9/2*c_0110_6^10 + 7/4*c_0110_6^9 + 29/4*c_0110_6^8 - 31/4*c_0110_6^7 - 27/4*c_0110_6^6 + 43/4*c_0110_6^5 - 3/4*c_0110_6^4 - 15/2*c_0110_6^3 + 13/4*c_0110_6^2 - 1/2, c_0101_2 - 1/8*c_0110_6^14 + 1/8*c_0110_6^13 + 1/2*c_0110_6^12 - 13/8*c_0110_6^11 - 5/8*c_0110_6^10 + 45/8*c_0110_6^9 - 25/8*c_0110_6^8 - 21/2*c_0110_6^7 + 45/4*c_0110_6^6 + 29/4*c_0110_6^5 - 17*c_0110_6^4 + 23/8*c_0110_6^3 + 35/4*c_0110_6^2 - 27/4*c_0110_6 + 11/8, c_0110_6^15 - 5*c_0110_6^13 + 5*c_0110_6^12 + 14*c_0110_6^11 - 20*c_0110_6^10 - 12*c_0110_6^9 + 45*c_0110_6^8 - 10*c_0110_6^7 - 40*c_0110_6^6 + 42*c_0110_6^5 + 5*c_0110_6^4 - 25*c_0110_6^3 + 20*c_0110_6^2 - 5*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB