Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 3448525100] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1902 geometric_solution 5.51194582 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 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 0.187222301559 0.645193096247 0 0 4 2 0132 2310 0132 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 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 0.585173094101 1.429549009891 3 0 4 1 2310 0132 2103 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 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 1.585173094101 1.429549009891 4 5 2 0 1230 0132 3201 0132 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 1 -1 1 0 -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 -0.146357334058 0.655854626545 2 3 5 1 2103 3012 0321 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657209308390 0.376002972816 6 3 4 6 0132 0132 0321 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348314319046 0.990613413590 5 5 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.952188459299 0.471757071226 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_1001_0'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_4']})} 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_0101_1, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 99/1792*c_1001_0^10 + 279/1792*c_1001_0^9 + 849/1792*c_1001_0^8 - 1457/896*c_1001_0^7 - 2571/1792*c_1001_0^6 + 5133/896*c_1001_0^5 + 953/224*c_1001_0^4 - 535/56*c_1001_0^3 - 599/56*c_1001_0^2 + 29/56*c_1001_0 + 113/28, c_0011_0 - 1, c_0011_3 + 7/32*c_1001_0^10 - 9/32*c_1001_0^9 - 81/32*c_1001_0^8 + 43/16*c_1001_0^7 + 441/32*c_1001_0^6 - 59/8*c_1001_0^5 - 727/16*c_1001_0^4 - 69/8*c_1001_0^3 + 79*c_1001_0^2 + 90*c_1001_0 + 32, c_0011_4 - 7/64*c_1001_0^10 + 17/64*c_1001_0^9 + 59/64*c_1001_0^8 - 9/4*c_1001_0^7 - 263/64*c_1001_0^6 + 59/8*c_1001_0^5 + 27/2*c_1001_0^4 - 8*c_1001_0^3 - 109/4*c_1001_0^2 - 18*c_1001_0 - 3, c_0101_1 + 1, c_0101_2 - 1/64*c_1001_0^10 + 1/64*c_1001_0^9 + 11/64*c_1001_0^8 - 3/32*c_1001_0^7 - 61/64*c_1001_0^6 - 3/32*c_1001_0^5 + 49/16*c_1001_0^4 + 21/8*c_1001_0^3 - 17/4*c_1001_0^2 - 19/2*c_1001_0 - 6, c_0101_6 + 5/32*c_1001_0^10 - 9/32*c_1001_0^9 - 49/32*c_1001_0^8 + 9/4*c_1001_0^7 + 259/32*c_1001_0^6 - 101/16*c_1001_0^5 - 441/16*c_1001_0^4 - 11/8*c_1001_0^3 + 201/4*c_1001_0^2 + 103/2*c_1001_0 + 16, c_1001_0^11 - c_1001_0^10 - 11*c_1001_0^9 + 6*c_1001_0^8 + 61*c_1001_0^7 + 6*c_1001_0^6 - 196*c_1001_0^5 - 168*c_1001_0^4 + 272*c_1001_0^3 + 608*c_1001_0^2 + 448*c_1001_0 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB