Magma V2.19-8 Tue Aug 20 2013 23:38:16 on localhost [Seed = 71458856] Type ? for help. Type -D to quit. Loading file "K12n293__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n293 geometric_solution 8.57314968 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 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 1 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 0.470941734263 0.407404192445 0 5 6 5 0132 0132 0132 1230 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 0 0 5 0 -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 0.270708358982 1.054031825833 7 0 8 4 0132 0132 0132 2031 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 -1 0 1 0 0 4 -4 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886075527477 0.431081111018 9 4 8 0 0132 2031 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -5 0 5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628840680170 2.552037421466 3 2 0 5 1302 1302 0132 0132 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 0 0 4 1 -5 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 -0.214505158551 1.050649066205 1 1 4 7 3012 0132 0132 1023 0 0 0 0 0 1 -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 0 0 0 0 -5 5 0 5 0 0 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443918746633 0.641587618339 9 8 9 1 1230 1023 0132 0132 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 0 0 0 0 0 0 0 0 -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 -0.228587441392 0.890029547367 2 9 8 5 0132 0213 3012 1023 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 -5 5 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 0.744614069672 0.408052151404 6 7 3 2 1023 1230 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 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 4 -4 0 -1 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660061441945 0.891330299227 3 6 7 6 0132 3012 0213 0132 0 0 0 0 0 0 0 0 -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 0 0 0 5 0 -1 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304800455235 0.320576621218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_8'], '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' : d['c_0110_5'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_7'], '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' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0011_6, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 9/14*c_1001_8^2 + 15/14*c_1001_8 + 5/7, c_0011_0 - 1, c_0011_3 + c_1001_8, c_0011_4 - c_1001_8^2 + 1, c_0011_6 + 1, c_0101_2 - 2*c_1001_8^2 - c_1001_8, c_0101_3 + 1, c_0101_5 + 1, c_0101_7 + c_1001_8^2 - 1, c_0110_5 - 2*c_1001_8^2 - 2*c_1001_8, c_1001_8^3 + c_1001_8^2 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 3/4*c_1001_8^5 + 1/2*c_1001_8^4 + 7/2*c_1001_8^3 + 11/4*c_1001_8^2 + 19/4*c_1001_8 + 11/4, c_0011_0 - 1, c_0011_3 - 1/4*c_1001_8^5 + 1/2*c_1001_8^4 - 3/2*c_1001_8^3 + 3/4*c_1001_8^2 - 5/4*c_1001_8 - 5/4, c_0011_4 + 1/2*c_1001_8^4 - 1/2*c_1001_8^3 + 3/2*c_1001_8^2 - 1/2, c_0011_6 - 3/4*c_1001_8^5 + c_1001_8^4 - 3*c_1001_8^3 + 7/4*c_1001_8^2 - 3/4*c_1001_8 - 5/4, c_0101_2 + 1/4*c_1001_8^5 + c_1001_8^3 - 1/4*c_1001_8^2 + 5/4*c_1001_8 - 1/4, c_0101_3 - 1/2*c_1001_8^5 + 1/2*c_1001_8^4 - 5/2*c_1001_8^3 + 2*c_1001_8^2 - 5/2*c_1001_8, c_0101_5 - 1/2*c_1001_8^4 + 1/2*c_1001_8^3 - 3/2*c_1001_8^2 - 1/2, c_0101_7 - 1/2*c_1001_8^4 + 1/2*c_1001_8^3 - 3/2*c_1001_8^2 + 1/2, c_0110_5 - c_1001_8^2 + c_1001_8 - 1, c_1001_8^6 - c_1001_8^5 + 4*c_1001_8^4 - c_1001_8^3 + 2*c_1001_8^2 + 2*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB