Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1048552170] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1225 geometric_solution 5.12078530 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 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 0.511233789115 0.071278975982 2 0 3 0 0132 2310 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 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 0.227461854398 0.491574754910 1 4 3 5 0132 0132 3012 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 0 -1 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 0.801605794054 2.450945922795 6 2 4 1 0132 1230 3201 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 0 -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 0.801605794054 2.450945922795 3 2 6 5 2310 0132 2031 2031 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 -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 0.207371942701 0.971130182476 6 4 2 6 1023 1302 0132 0132 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 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 -0.212282730159 0.681702743418 3 5 5 4 0132 1023 0132 1302 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 -1 1 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 -0.212282730159 0.681702743418 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(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' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0101_1, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 461/156*c_0110_0^13 + 701/78*c_0110_0^12 + 1741/78*c_0110_0^11 - 3215/39*c_0110_0^10 - 54*c_0110_0^9 + 11144/39*c_0110_0^8 + 445/13*c_0110_0^7 - 72103/156*c_0110_0^6 + 3695/156*c_0110_0^5 + 52451/156*c_0110_0^4 + 212/39*c_0110_0^3 - 3749/52*c_0110_0^2 - 3533/78*c_0110_0 - 307/39, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 - 1/2*c_0110_0^13 + c_0110_0^12 + 9/2*c_0110_0^11 - 9*c_0110_0^10 - 15*c_0110_0^9 + 30*c_0110_0^8 + 22*c_0110_0^7 - 89/2*c_0110_0^6 - 23/2*c_0110_0^5 + 26*c_0110_0^4 - 3/2*c_0110_0^3 - 2*c_0110_0^2 + c_0110_0 + 1/2, c_0101_1 + c_0110_0^3 - 2*c_0110_0, c_0101_3 - c_0110_0^10 + c_0110_0^9 + 8*c_0110_0^8 - 7*c_0110_0^7 - 22*c_0110_0^6 + 16*c_0110_0^5 + 24*c_0110_0^4 - 12*c_0110_0^3 - 8*c_0110_0^2, c_0101_4 - 1/2*c_0110_0^13 + c_0110_0^12 + 9/2*c_0110_0^11 - 9*c_0110_0^10 - 15*c_0110_0^9 + 30*c_0110_0^8 + 22*c_0110_0^7 - 89/2*c_0110_0^6 - 23/2*c_0110_0^5 + 26*c_0110_0^4 - 3/2*c_0110_0^3 - 2*c_0110_0^2 + c_0110_0 + 1/2, c_0110_0^14 - 3*c_0110_0^13 - 8*c_0110_0^12 + 29*c_0110_0^11 + 20*c_0110_0^10 - 106*c_0110_0^9 - 8*c_0110_0^8 + 179*c_0110_0^7 - 30*c_0110_0^6 - 132*c_0110_0^5 + 24*c_0110_0^4 + 28*c_0110_0^3 + 8*c_0110_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB