Magma V2.19-8 Tue Aug 20 2013 23:30:22 on localhost [Seed = 2328685729] Type ? for help. Type -D to quit. Loading file "L13n414__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n414 geometric_solution 6.78475579 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.622378291359 1.605243545084 0 4 6 5 0132 1302 0132 0132 1 1 1 1 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 -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 0.122686612192 0.944936510355 2 0 2 4 2031 0132 1302 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312120410875 0.417104278197 7 5 5 0 0132 1302 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 2 -3 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055361412275 1.136708437301 7 2 0 1 2103 1302 0132 2031 1 1 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 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 0 0 0 0 0 0 0.514029275236 0.264847189589 6 3 1 3 0132 1230 0132 2031 1 1 0 1 0 0 1 -1 0 0 0 0 -2 -1 0 3 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 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432438094327 0.520364123188 5 7 7 1 0132 1302 3012 0132 1 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 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 1.055361412275 1.136708437301 3 6 4 6 0132 1230 2103 2031 1 1 0 1 0 0 0 0 0 0 -1 1 -2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.042744482463 0.877651271290 ==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_3_7' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_2_7' : d['1'], 's_1_7' : negation(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_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : 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_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0110_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_5']), '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_5'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_0'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0110_2, c_0110_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 198677/1602627*c_1001_5^5 - 31667/41093*c_1001_5^4 - 400285/246558*c_1001_5^3 - 3169804/1602627*c_1001_5^2 - 4406926/1602627*c_1001_5 - 168797/534209, c_0011_0 - 1, c_0011_3 - 1, c_0011_4 + 248/5559*c_1001_5^5 + 68/327*c_1001_5^4 + 1340/5559*c_1001_5^3 - 520/5559*c_1001_5^2 + 2016/1853*c_1001_5 - 2266/5559, c_0011_5 + 4/109*c_1001_5^5 + 70/327*c_1001_5^4 + 100/327*c_1001_5^3 + 119/327*c_1001_5^2 + 370/327*c_1001_5 - 26/109, c_0101_0 + 2/1853*c_1001_5^5 - 10/109*c_1001_5^4 - 2239/5559*c_1001_5^3 - 2284/5559*c_1001_5^2 - 1886/5559*c_1001_5 - 802/5559, c_0110_2 + 452/5559*c_1001_5^5 + 46/109*c_1001_5^4 + 3040/5559*c_1001_5^3 + 501/1853*c_1001_5^2 + 1220/5559*c_1001_5 - 3592/5559, c_0110_4 + 496/5559*c_1001_5^5 + 136/327*c_1001_5^4 + 2680/5559*c_1001_5^3 - 1040/5559*c_1001_5^2 + 2179/1853*c_1001_5 - 4532/5559, c_1001_5^6 + 5*c_1001_5^5 + 13/2*c_1001_5^4 + 6*c_1001_5^3 + 15*c_1001_5^2 - 11*c_1001_5 + 29/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB