Magma V2.19-8 Tue Aug 20 2013 23:38:31 on localhost [Seed = 3499537647] Type ? for help. Type -D to quit. Loading file "K11n51__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n51 geometric_solution 9.50421539 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 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 -1 0 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 -0.987963354677 0.607564886938 0 4 4 0 0132 0132 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063011266602 0.811168462634 5 4 6 0 0132 1302 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 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 -0.014898116059 0.681915380275 7 8 0 6 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 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 0.338734825145 0.867786437818 1 1 5 2 2310 0132 0213 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.990800310504 0.845438219022 2 4 9 9 0132 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.553532931089 0.408649709300 8 7 3 2 2103 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 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 0.841723785971 1.064333826784 3 10 10 6 0132 0132 0321 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 5 -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 0.784128919210 0.701526561581 10 3 6 9 0321 0132 2103 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444334918876 1.942390459323 8 5 10 5 3201 0321 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 -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 -0.169287655636 0.863235109831 8 7 7 9 0321 0132 0321 0132 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 -5 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 0 0 0 0.784128919210 0.701526561581 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_10' : 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' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_1001_7'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_1001_0']), 'c_1010_8' : negation(d['c_0101_0']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 1657003/46280927*c_1100_0^4 + 1025285/46280927*c_1100_0^3 + 8874741/46280927*c_1100_0^2 - 10334376/46280927*c_1100_0 - 4513174/46280927, c_0011_0 - 1, c_0011_10 + 40/541*c_1100_0^4 + 45/541*c_1100_0^3 - 182/541*c_1100_0^2 - 638/541*c_1100_0 + 465/541, c_0011_2 - 29/541*c_1100_0^4 + 35/541*c_1100_0^3 + 159/541*c_1100_0^2 + 165/541*c_1100_0 - 1081/541, c_0011_6 + 88/541*c_1100_0^4 + 99/541*c_1100_0^3 - 184/541*c_1100_0^2 - 1079/541*c_1100_0 + 1023/541, c_0011_9 + 10/541*c_1100_0^4 - 124/541*c_1100_0^3 - 316/541*c_1100_0^2 - 430/541*c_1100_0 + 2145/541, c_0101_0 - 5/541*c_1100_0^4 + 62/541*c_1100_0^3 + 158/541*c_1100_0^2 + 215/541*c_1100_0 - 1343/541, c_0101_1 - 29/541*c_1100_0^4 + 35/541*c_1100_0^3 + 159/541*c_1100_0^2 + 165/541*c_1100_0 - 1622/541, c_0101_10 + 123/541*c_1100_0^4 + 206/541*c_1100_0^3 - 208/541*c_1100_0^2 - 1502/541*c_1100_0 + 1227/541, c_1001_0 + 29/541*c_1100_0^4 - 35/541*c_1100_0^3 - 159/541*c_1100_0^2 - 165/541*c_1100_0 + 1081/541, c_1001_7 - 5/541*c_1100_0^4 + 62/541*c_1100_0^3 + 158/541*c_1100_0^2 + 215/541*c_1100_0 - 802/541, c_1100_0^5 + c_1100_0^4 - 3*c_1100_0^3 - 12*c_1100_0^2 + 17*c_1100_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.740 seconds, Total memory usage: 32.09MB