Magma V2.19-8 Wed Aug 21 2013 00:45:31 on localhost [Seed = 4240108332] Type ? for help. Type -D to quit. Loading file "K14n6586__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6586 geometric_solution 11.42143578 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 -1 0 0 1 7 1 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529982442412 0.742263639733 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 0 0 0 0 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236058843229 0.549906541810 4 0 4 5 1023 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 0 0 1 0 -1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053008704791 1.416346674639 8 9 5 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236058843229 0.549906541810 5 2 0 2 0132 1023 0132 0132 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 -1 1 0 0 0 -1 1 0 1 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053008704791 1.416346674639 4 1 2 3 0132 0132 0132 0132 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529982442412 0.742263639733 8 10 1 11 2310 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 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 -0.773287979723 1.256436606620 12 9 11 1 0132 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 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 0.528632833909 1.610532559219 3 11 6 12 0132 1023 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.773287979723 1.256436606620 11 3 10 7 1023 0132 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 0.528632833909 1.610532559219 12 6 12 9 3201 0132 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 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 0.355272170085 0.577245439620 8 9 6 7 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.113658148826 0.658463522818 7 10 8 10 0132 3201 0132 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355272170085 0.577245439620 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_12'], 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0101_10']), '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'], 'c_1100_12' : d['c_0011_10'], '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_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], '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_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], '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_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_9, c_1001_0, c_1001_1, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 349/76*c_0101_9*c_1100_1^3 + 225/38*c_0101_9*c_1100_1^2 + 295/76*c_0101_9*c_1100_1 - 233/76*c_0101_9 + 185/76*c_1100_1^3 - 25/38*c_1100_1^2 - 341/76*c_1100_1 - 561/76, c_0011_0 - 1, c_0011_10 + c_0101_9*c_1100_1^3 + c_0101_9*c_1100_1^2 + c_0101_9*c_1100_1 + c_1100_1^2 + c_1100_1, c_0011_11 + c_1100_1, c_0011_12 + c_0101_9*c_1100_1, c_0101_0 + 1, c_0101_1 + c_1100_1^3 + c_1100_1^2, c_0101_10 + c_0101_9, c_0101_2 - c_1100_1, c_0101_9^2 + c_0101_9*c_1100_1 - c_1100_1^2, c_1001_0 + c_1100_1^3 + c_1100_1^2, c_1001_1 + 1, c_1100_0 + 1, c_1100_1^4 + c_1100_1^3 + c_1100_1^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_9, c_1001_0, c_1001_1, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 972/11*c_0101_9*c_1100_1^5 + 537/11*c_0101_9*c_1100_1^4 - 248*c_0101_9*c_1100_1^3 - 1707/11*c_0101_9*c_1100_1^2 - 1314/11*c_0101_9*c_1100_1 + 1180/11*c_0101_9 + 1589/11*c_1100_1^5 - 388/11*c_1100_1^4 + 403*c_1100_1^3 + 4177/11*c_1100_1^2 + 3617/11*c_1100_1 - 386/11, c_0011_0 - 1, c_0011_10 - 2*c_0101_9*c_1100_1^5 - c_0101_9*c_1100_1^4 - 5*c_0101_9*c_1100_1^3 - 10*c_0101_9*c_1100_1^2 - 8*c_0101_9*c_1100_1 - 3*c_0101_9 + c_1100_1^4 + 2*c_1100_1^2 + 3*c_1100_1 + 2, c_0011_11 + c_1100_1, c_0011_12 - 2*c_0101_9*c_1100_1^5 - 5*c_0101_9*c_1100_1^3 - 7*c_0101_9*c_1100_1^2 - 5*c_0101_9*c_1100_1, c_0101_0 - c_1100_1^5 - c_1100_1^4 - 2*c_1100_1^3 - 6*c_1100_1^2 - 5*c_1100_1 - 2, c_0101_1 + c_1100_1^4 + 3*c_1100_1^2 + 3*c_1100_1 + 2, c_0101_10 + c_0101_9, c_0101_2 + c_1100_1^5 + c_1100_1^4 + 3*c_1100_1^3 + 6*c_1100_1^2 + 7*c_1100_1 + 3, c_0101_9^2 + c_0101_9*c_1100_1 - c_1100_1^2, c_1001_0 + c_1100_1^4 + 3*c_1100_1^2 + 3*c_1100_1 + 2, c_1001_1 - c_1100_1^5 - c_1100_1^4 - 2*c_1100_1^3 - 6*c_1100_1^2 - 5*c_1100_1 - 2, c_1100_0 + 1, c_1100_1^6 + c_1100_1^5 + 3*c_1100_1^4 + 6*c_1100_1^3 + 7*c_1100_1^2 + 4*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 11.080 Total time: 11.279 seconds, Total memory usage: 64.12MB