Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 2084430007] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1631 geometric_solution 5.37852735 oriented_manifold CS_known 0.0000000000000001 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 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 2.105653383057 1.403105641304 0 5 5 2 0132 0132 1023 2310 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 1 -1 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 0.601720971801 0.208830229941 1 0 3 6 3201 0132 3201 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0 0 0.625000100980 0.494351384881 2 6 4 0 2310 1023 3201 0132 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 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 -0.074885730776 0.882860748410 3 4 0 4 2310 2310 0132 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 -0.290014710616 0.601610044811 6 1 1 6 3012 0132 1023 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907369235249 0.631820161721 3 5 2 5 1023 0321 0132 1230 0 0 0 0 0 0 1 -1 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 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 0.227160249159 1.549425029002 ==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' : negation(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' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : 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_0011_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], '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_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_0101_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 11381/192*c_0101_5^11 + 1547/24*c_0101_5^10 - 1376/3*c_0101_5^9 + 13117/96*c_0101_5^8 - 40693/32*c_0101_5^7 + 31813/48*c_0101_5^6 - 413507/192*c_0101_5^5 + 63059/192*c_0101_5^4 - 66937/64*c_0101_5^3 + 6545/96*c_0101_5^2 - 10649/64*c_0101_5 + 447/64, c_0011_0 - 1, c_0011_3 - c_0101_5, c_0011_4 - 49/4*c_0101_5^11 + 23/2*c_0101_5^10 - 93*c_0101_5^9 + 14*c_0101_5^8 - 519/2*c_0101_5^7 + 191/2*c_0101_5^6 - 1707/4*c_0101_5^5 - 13/4*c_0101_5^4 - 825/4*c_0101_5^3 - 30*c_0101_5^2 - 125/4*c_0101_5 - 27/4, c_0101_0 - 6*c_0101_5^11 + 6*c_0101_5^10 - 47*c_0101_5^9 + 11*c_0101_5^8 - 136*c_0101_5^7 + 58*c_0101_5^6 - 234*c_0101_5^5 + 26*c_0101_5^4 - 137*c_0101_5^3 - 25*c_0101_5 - 1, c_0101_1 + c_0101_5^11 - c_0101_5^10 + 8*c_0101_5^9 - 2*c_0101_5^8 + 24*c_0101_5^7 - 10*c_0101_5^6 + 43*c_0101_5^5 - 6*c_0101_5^4 + 30*c_0101_5^3 - c_0101_5^2 + 8*c_0101_5, c_0101_3 - 1/4*c_0101_5^11 + c_0101_5^10 - 5/2*c_0101_5^9 + 13/2*c_0101_5^8 - 6*c_0101_5^7 + 22*c_0101_5^6 - 57/4*c_0101_5^5 + 143/4*c_0101_5^4 - 31/4*c_0101_5^3 + 30*c_0101_5^2 - 5/4*c_0101_5 + 27/4, c_0101_5^12 - c_0101_5^11 + 8*c_0101_5^10 - 2*c_0101_5^9 + 24*c_0101_5^8 - 10*c_0101_5^7 + 43*c_0101_5^6 - 6*c_0101_5^5 + 30*c_0101_5^4 - c_0101_5^3 + 9*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB