Magma V2.19-8 Tue Aug 20 2013 17:55:27 on localhost [Seed = 256817351] Type ? for help. Type -D to quit. Loading file "10^2_182__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_182 geometric_solution 7.34941600 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 0 0 2 0132 3201 2310 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 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.009858799413 1.679225373844 0 2 4 3 0132 2310 0132 0132 1 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 -5 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 0.272437931131 0.189537436275 4 5 0 1 2103 0132 0132 3201 0 0 1 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 5 -1 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093877975155 0.779105798291 5 6 1 6 3012 0132 0132 0213 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 -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 0.029856365125 0.871385688798 7 5 2 1 0132 3201 2103 0132 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 0 0 0 0 0 0 0 -5 5 -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 0.400284174297 1.432765688736 8 2 4 3 0132 0132 2310 1230 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 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 0.565051925753 0.276671119938 8 3 7 3 2031 0132 0132 0213 1 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 1 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029856365125 0.871385688798 4 8 8 6 0132 2103 2031 0132 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 0 0 1 0 -1 1 0 -5 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123236015930 0.680043247276 5 7 6 7 0132 2103 1302 1302 0 0 1 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 -4 5 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 0.712136589881 0.552353527159 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : d['c_0011_2'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0011_4']), 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0110_2']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : d['c_1001_6'], 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_1001_1']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : negation(d['c_1001_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(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' : d['c_0011_2'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_3'], 'c_0110_8' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0110_2, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 38061/466*c_1001_6^7 - 246234/233*c_1001_6^6 + 1156229/233*c_1001_6^5 - 4338431/466*c_1001_6^4 + 4464341/466*c_1001_6^3 - 1413087/233*c_1001_6^2 + 584506/233*c_1001_6 - 218021/466, c_0011_0 - 1, c_0011_2 + 1201/466*c_1001_6^7 + 17411/466*c_1001_6^6 - 46599/466*c_1001_6^5 + 26800/233*c_1001_6^4 - 23287/466*c_1001_6^3 + 4933/466*c_1001_6^2 + 4541/466*c_1001_6 - 1282/233, c_0011_3 + 16331/4660*c_1001_6^7 + 236147/4660*c_1001_6^6 - 128379/932*c_1001_6^5 + 760479/4660*c_1001_6^4 - 71013/932*c_1001_6^3 + 71399/4660*c_1001_6^2 + 70549/4660*c_1001_6 - 34737/4660, c_0011_4 - 3257/1165*c_1001_6^7 - 47049/1165*c_1001_6^6 + 25753/233*c_1001_6^5 - 152523/1165*c_1001_6^4 + 14414/233*c_1001_6^3 - 15243/1165*c_1001_6^2 - 12838/1165*c_1001_6 + 7074/1165, c_0101_0 + 4041/4660*c_1001_6^7 + 57357/4660*c_1001_6^6 - 35079/932*c_1001_6^5 + 215599/4660*c_1001_6^4 - 20783/932*c_1001_6^3 + 9849/4660*c_1001_6^2 + 20369/4660*c_1001_6 - 11937/4660, c_0101_1 + 6441/4660*c_1001_6^7 + 93477/4660*c_1001_6^6 - 49667/932*c_1001_6^5 + 285389/4660*c_1001_6^4 - 24027/932*c_1001_6^3 + 23389/4660*c_1001_6^2 + 23309/4660*c_1001_6 - 11227/4660, c_0110_2 + 575/466*c_1001_6^7 + 4123/233*c_1001_6^6 - 11820/233*c_1001_6^5 + 14377/233*c_1001_6^4 - 13973/466*c_1001_6^3 + 1122/233*c_1001_6^2 + 1357/233*c_1001_6 - 762/233, c_1001_1 - 1, c_1001_6^8 + 14*c_1001_6^7 - 46*c_1001_6^6 + 64*c_1001_6^5 - 42*c_1001_6^4 + 14*c_1001_6^3 + 2*c_1001_6^2 - 4*c_1001_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB