Magma V2.19-8 Tue Aug 20 2013 16:18:00 on localhost [Seed = 2749513581] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2237 geometric_solution 5.67154671 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 1 0 -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 1 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 0.540757881837 0.318377855267 0 3 2 4 0132 0213 2031 0132 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 -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 0.870932692483 0.868212943982 4 0 0 1 1023 0132 2031 1302 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 1 -1 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 0.653786061152 0.428400820019 4 5 1 0 0321 0132 0213 0132 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 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 -0.129067307517 0.868212943982 3 2 1 5 0321 1023 0132 3012 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556578285246 0.427989074144 6 3 4 6 0132 0132 1230 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486156903143 0.661708991168 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.805992120212 0.608853460176 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_1, c_0101_2, c_0101_5, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2100463/95760*c_1001_0^13 + 4472687/27360*c_1001_0^12 - 10427011/27360*c_1001_0^11 + 519001/27360*c_1001_0^10 + 89511577/95760*c_1001_0^9 + 28419/760*c_1001_0^8 - 29140603/10080*c_1001_0^7 + 25058937/21280*c_1001_0^6 + 10986381/3040*c_1001_0^5 - 7693853/13680*c_1001_0^4 - 8985401/2128*c_1001_0^3 - 566357/6840*c_1001_0^2 + 415161689/191520*c_1001_0 + 27733379/27360, c_0011_0 - 1, c_0011_3 - 1/16*c_1001_0^12 + 7/16*c_1001_0^11 - 15/16*c_1001_0^10 + 2*c_1001_0^8 + 1/16*c_1001_0^7 - 83/16*c_1001_0^6 + 47/16*c_1001_0^5 + 33/8*c_1001_0^4 - 5/2*c_1001_0^3 - 27/8*c_1001_0^2 + 33/16*c_1001_0 + 23/16, c_0101_1 + 1/8*c_1001_0^13 - 15/16*c_1001_0^12 + 35/16*c_1001_0^11 - 1/16*c_1001_0^10 - 11/2*c_1001_0^9 + 259/16*c_1001_0^7 - 109/16*c_1001_0^6 - 315/16*c_1001_0^5 + 17/4*c_1001_0^4 + 169/8*c_1001_0^3 - 5/8*c_1001_0^2 - 167/16*c_1001_0 - 61/16, c_0101_2 + 3/16*c_1001_0^13 - 11/8*c_1001_0^12 + 25/8*c_1001_0^11 + 1/16*c_1001_0^10 - 65/8*c_1001_0^9 + 3/16*c_1001_0^8 + 95/4*c_1001_0^7 - 43/4*c_1001_0^6 - 481/16*c_1001_0^5 + 69/8*c_1001_0^4 + 265/8*c_1001_0^3 - 37/16*c_1001_0^2 - 18*c_1001_0 - 103/16, c_0101_5 + c_1001_0^2 - c_1001_0 - 1, c_0101_6 + 1/16*c_1001_0^11 - 3/8*c_1001_0^10 + 9/16*c_1001_0^9 + 9/16*c_1001_0^8 - 19/16*c_1001_0^7 - 5/2*c_1001_0^6 + 63/16*c_1001_0^5 + 3*c_1001_0^4 - 27/8*c_1001_0^3 - 35/8*c_1001_0^2 + 2*c_1001_0 + 27/16, c_1001_0^14 - 7*c_1001_0^13 + 14*c_1001_0^12 + 7*c_1001_0^11 - 43*c_1001_0^10 - 21*c_1001_0^9 + 131*c_1001_0^8 + 6*c_1001_0^7 - 189*c_1001_0^6 - 49*c_1001_0^5 + 204*c_1001_0^4 + 91*c_1001_0^3 - 97*c_1001_0^2 - 91*c_1001_0 - 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB