Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 1932717578] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3298 geometric_solution 6.42818695 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 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 -1 0 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 0.732431472521 0.999668207789 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 -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 0.536603365735 0.725139346593 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 0 1 -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 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 0.536603365735 0.725139346593 4 1 4 2 1302 0132 2031 2310 0 0 0 0 0 -1 1 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 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 0.406519404344 0.823019823194 2 3 1 3 2310 2031 0132 1302 0 0 0 0 0 0 1 -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 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 0.734659704744 0.807277998292 2 6 6 1 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577961389327 0.503020430026 5 5 6 6 2310 0132 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 1.660487579454 0.648637247351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : 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' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 22073/190*c_0101_5*c_0101_6^9 - 6929/190*c_0101_5*c_0101_6^8 + 8078/95*c_0101_5*c_0101_6^7 + 6623/190*c_0101_5*c_0101_6^6 - 84133/190*c_0101_5*c_0101_6^5 - 26339/190*c_0101_5*c_0101_6^4 + 43717/190*c_0101_5*c_0101_6^3 + 19351/190*c_0101_5*c_0101_6^2 - 55401/190*c_0101_5*c_0101_6 - 19218/95*c_0101_5, c_0011_0 - 1, c_0011_4 - 5/8*c_0101_5*c_0101_6^9 - 1/8*c_0101_5*c_0101_6^8 + c_0101_5*c_0101_6^7 - 5/2*c_0101_5*c_0101_6^5 - 1/2*c_0101_5*c_0101_6^4 + 19/8*c_0101_5*c_0101_6^3 - 1/8*c_0101_5*c_0101_6^2 - 3/2*c_0101_5*c_0101_6 - 9/8*c_0101_5, c_0101_0 - 3/8*c_0101_6^9 + 1/8*c_0101_6^8 - 1/2*c_0101_6^5 + 1/2*c_0101_6^4 - 3/8*c_0101_6^3 + 1/8*c_0101_6^2 + 1/2*c_0101_6 - 7/8, c_0101_1 - 1/8*c_0101_6^9 + 3/8*c_0101_6^8 - 1/2*c_0101_6^5 + 1/2*c_0101_6^4 - 1/8*c_0101_6^3 + 3/8*c_0101_6^2 + 1/2*c_0101_6 - 5/8, c_0101_2 - c_0101_5*c_0101_6^9 - c_0101_5*c_0101_6^8 + c_0101_5*c_0101_6^7 - 4*c_0101_5*c_0101_6^5 - 3*c_0101_5*c_0101_6^4 + 3*c_0101_5*c_0101_6^3 - 3*c_0101_5*c_0101_6 - 2*c_0101_5, c_0101_5^2 - 1/61*c_0101_6^9 - 10/61*c_0101_6^8 - 38/61*c_0101_6^7 - 14/61*c_0101_6^6 + 39/61*c_0101_6^5 + 24/61*c_0101_6^4 - 62/61*c_0101_6^3 - 71/61*c_0101_6^2 + 19/61*c_0101_6 + 6/61, c_0101_6^10 - c_0101_6^8 + 4*c_0101_6^6 - 3*c_0101_6^4 + 3*c_0101_6^2 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB