Magma V2.19-8 Tue Aug 20 2013 23:41:42 on localhost [Seed = 3869278799] Type ? for help. Type -D to quit. Loading file "L13n5937__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5937 geometric_solution 9.34724064 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 -5 0 0 0 0 -4 4 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680760638796 0.640896631151 0 0 5 4 0132 3120 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 4 -4 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680760638796 0.640896631151 6 6 7 0 0132 1302 0132 0132 0 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 1 -1 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 0.483051833394 0.837675985892 8 9 0 8 0132 0132 0132 2031 0 0 1 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 5 -4 0 0 0 0 0 -1 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680760638796 0.640896631151 6 9 1 5 2103 2310 0132 3201 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 4 -4 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.191936337922 1.091570225551 8 4 7 1 3120 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788745403718 0.357253934737 2 8 4 2 0132 1230 2103 2031 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 -1 1 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 0.533521222138 0.864531387514 9 9 5 2 0132 1230 1023 0132 0 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 0 0 0 0 0 1 0 -1 0 0 0 0 8 -7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907326762853 0.651071850751 3 3 6 5 0132 1302 3012 3120 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221261201676 0.733137381848 7 3 7 4 0132 0132 3012 3201 0 0 0 1 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 1 0 -1 0 0 -1 1 0 4 0 -4 -8 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272471915668 0.522053438444 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_2'], 's_2_8' : d['1'], 's_2_9' : 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' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_2'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2111/1064*c_0110_4^7 + 9321/1064*c_0110_4^6 - 1375/266*c_0110_4^5 - 14089/1064*c_0110_4^4 - 1457/266*c_0110_4^3 + 713/38*c_0110_4^2 + 6525/1064*c_0110_4 - 1905/532, c_0011_0 - 1, c_0011_2 - 1, c_0011_3 - 33/76*c_0110_4^7 + 153/76*c_0110_4^6 - 30/19*c_0110_4^5 - 203/76*c_0110_4^4 - 11/38*c_0110_4^3 + 163/38*c_0110_4^2 + 37/76*c_0110_4 - 73/38, c_0011_4 + 7/76*c_0110_4^7 - 12/19*c_0110_4^6 + 79/76*c_0110_4^5 + 35/76*c_0110_4^4 - 65/76*c_0110_4^3 - 53/38*c_0110_4^2 - 9/76*c_0110_4 - 41/76, c_0011_5 + 15/76*c_0110_4^7 - 27/38*c_0110_4^6 + 1/76*c_0110_4^5 + 75/76*c_0110_4^4 + 105/76*c_0110_4^3 - 5/38*c_0110_4^2 - 41/76*c_0110_4 + 37/76, c_0101_0 + 2/19*c_0110_4^7 - 25/76*c_0110_4^6 - 21/76*c_0110_4^5 + 39/38*c_0110_4^4 + 37/76*c_0110_4^3 + 5/19*c_0110_4^2 - 35/38*c_0110_4 + 21/76, c_0101_1 - 2/19*c_0110_4^7 + 25/76*c_0110_4^6 + 21/76*c_0110_4^5 - 39/38*c_0110_4^4 - 37/76*c_0110_4^3 - 5/19*c_0110_4^2 + 35/38*c_0110_4 - 21/76, c_0101_2 + 31/76*c_0110_4^7 - 123/76*c_0110_4^6 + 4/19*c_0110_4^5 + 269/76*c_0110_4^4 + 61/38*c_0110_4^3 - 137/38*c_0110_4^2 - 143/76*c_0110_4 + 49/38, c_0101_7 - 5/38*c_0110_4^7 + 17/76*c_0110_4^6 + 69/76*c_0110_4^5 - 22/19*c_0110_4^4 - 127/76*c_0110_4^3 - 3/38*c_0110_4^2 + 1/38*c_0110_4 - 69/76, c_0110_4^8 - 4*c_0110_4^7 + c_0110_4^6 + 7*c_0110_4^5 + 5*c_0110_4^4 - 6*c_0110_4^3 - 5*c_0110_4^2 - c_0110_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB