Magma V2.19-8 Tue Aug 20 2013 23:42:15 on localhost [Seed = 1460744714] Type ? for help. Type -D to quit. Loading file "K12n809__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n809 geometric_solution 11.43931112 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 -1 0 0 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 5 0 -5 5 0 -1 -4 -1 0 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364488331679 0.813920064639 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 1 0 -5 0 5 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 7 0 6 5 0132 0132 3201 0132 0 0 0 0 0 1 -1 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 -5 4 1 -5 0 0 5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 4 8 9 0 1302 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 0 0 -1 0 0 1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.539717422768 1.079728047529 6 3 0 10 3201 2031 0132 0132 0 0 0 0 0 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 -5 5 0 -4 0 4 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 0.460282577232 1.079728047529 11 1 2 9 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 0 0 0 -5 5 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 2 8 1 4 2310 0213 0132 2310 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 0 0 0 0 0 0 0 0 -4 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370130876122 1.136597273019 2 11 9 1 0132 0132 2103 0132 0 0 0 0 0 0 0 0 -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 0 1 -1 5 0 0 -5 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 10 3 6 11 1230 0132 0213 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 -0.539717422768 1.079728047529 7 5 10 3 2103 0321 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 0 0 0 0 -1 1 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373015174202 0.673104957396 11 8 4 9 3120 3012 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665898457074 0.783733350913 5 7 8 10 0132 0132 0132 3120 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 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364488331679 0.813920064639 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_1']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_0011_10']), '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' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), '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_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0011_6'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 24057/8575*c_1100_0^3 + 72171/8575*c_1100_0^2 + 192456/8575*c_1100_0 + 24786/1715, c_0011_0 - 1, c_0011_10 - 9/35*c_1100_0^3 - 32/35*c_1100_0^2 - 97/35*c_1100_0 - 43/21, c_0011_3 - 3/35*c_1100_0^3 - 9/35*c_1100_0^2 - 24/35*c_1100_0 + 2/7, c_0011_4 - 6/35*c_1100_0^3 - 18/35*c_1100_0^2 - 48/35*c_1100_0 - 3/7, c_0011_6 + 6/35*c_1100_0^3 + 18/35*c_1100_0^2 + 48/35*c_1100_0 + 3/7, c_0101_0 - 3/35*c_1100_0^3 - 4/35*c_1100_0^2 + 1/35*c_1100_0 + 4/21, c_0101_1 + 6/35*c_1100_0^3 + 8/35*c_1100_0^2 + 33/35*c_1100_0 - 8/21, c_0101_10 - 3/5*c_1100_0^3 - 9/5*c_1100_0^2 - 29/5*c_1100_0 - 3, c_0101_5 + 3/35*c_1100_0^3 - 1/35*c_1100_0^2 + 9/35*c_1100_0 - 23/21, c_1001_0 + 6/35*c_1100_0^3 + 8/35*c_1100_0^2 + 33/35*c_1100_0 - 8/21, c_1001_1 + 3/35*c_1100_0^3 - 1/35*c_1100_0^2 + 9/35*c_1100_0 - 23/21, c_1100_0^4 + 3*c_1100_0^3 + 29/3*c_1100_0^2 + 5*c_1100_0 + 25/9 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/1680*c_1001_1 - 1/3360*c_1100_0, c_0011_0 - 1, c_0011_10 + c_1100_0 - 1, c_0011_3 + 2*c_1001_1 - c_1100_0 - 2, c_0011_4 + c_1001_1*c_1100_0 - c_1001_1 - c_1100_0 + 3, c_0011_6 + c_1001_1*c_1100_0 - c_1001_1 - c_1100_0 + 2, c_0101_0 - c_1100_0 + 1, c_0101_1 - c_1001_1 + 2, c_0101_10 - c_1100_0 + 2, c_0101_5 + c_1001_1 - c_1100_0 - 1, c_1001_0 + c_1001_1 - c_1100_0 + 1, c_1001_1^2 - c_1001_1*c_1100_0 - c_1001_1 + c_1100_0 + 1, c_1100_0^2 - 2*c_1100_0 + 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/20*c_1100_0 + 1/10, c_0011_0 - 1, c_0011_10 + c_1100_0 - 1, c_0011_3 + c_1100_0 - 2, c_0011_4 - c_1001_1*c_1100_0 + c_1001_1 - c_1100_0 + 1, c_0011_6 - c_1001_1*c_1100_0 + c_1001_1 + c_1100_0, c_0101_0 + c_1100_0 - 1, c_0101_1 + c_1001_1, c_0101_10 + c_1100_0, c_0101_5 + c_1001_1 + c_1100_0 - 1, c_1001_0 - c_1001_1 - c_1100_0 + 1, c_1001_1^2 + c_1001_1*c_1100_0 - c_1001_1 - c_1100_0 + 1, c_1100_0^2 - 2*c_1100_0 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1458904/9575*c_1100_0^8 + 4828892/9575*c_1100_0^7 + 8233922/9575*c_1100_0^6 + 5581043/9575*c_1100_0^5 - 4982394/9575*c_1100_0^4 - 35779859/19150*c_1100_0^3 - 52974583/19150*c_1100_0^2 - 37310903/19150*c_1100_0 - 8200173/9575, c_0011_0 - 1, c_0011_10 + 608/383*c_1100_0^8 + 2852/383*c_1100_0^7 + 7112/383*c_1100_0^6 + 11521/383*c_1100_0^5 + 12949/383*c_1100_0^4 + 10474/383*c_1100_0^3 + 4799/383*c_1100_0^2 + 891/383*c_1100_0 - 121/383, c_0011_3 + 64/383*c_1100_0^8 + 18/383*c_1100_0^7 - 98/383*c_1100_0^6 - 699/766*c_1100_0^5 - 431/383*c_1100_0^4 - 355/766*c_1100_0^3 + 102/383*c_1100_0^2 + 1135/766*c_1100_0 - 174/383, c_0011_4 + 24/383*c_1100_0^8 + 294/383*c_1100_0^7 + 1208/383*c_1100_0^6 + 5435/766*c_1100_0^5 + 4195/383*c_1100_0^4 + 9011/766*c_1100_0^3 + 3198/383*c_1100_0^2 + 2197/766*c_1100_0 - 161/383, c_0011_6 - 24/383*c_1100_0^8 - 294/383*c_1100_0^7 - 1208/383*c_1100_0^6 - 5435/766*c_1100_0^5 - 4195/383*c_1100_0^4 - 9011/766*c_1100_0^3 - 3198/383*c_1100_0^2 - 2197/766*c_1100_0 + 161/383, c_0101_0 + 608/383*c_1100_0^8 + 2852/383*c_1100_0^7 + 7112/383*c_1100_0^6 + 11521/383*c_1100_0^5 + 12949/383*c_1100_0^4 + 10474/383*c_1100_0^3 + 4799/383*c_1100_0^2 + 891/383*c_1100_0 - 121/383, c_0101_1 + 20/383*c_1100_0^8 - 138/383*c_1100_0^7 - 653/383*c_1100_0^6 - 3067/766*c_1100_0^5 - 2313/383*c_1100_0^4 - 4683/766*c_1100_0^3 - 1931/383*c_1100_0^2 - 1297/766*c_1100_0 - 198/383, c_0101_10 + c_1100_0, c_0101_5 - 20/383*c_1100_0^8 + 138/383*c_1100_0^7 + 653/383*c_1100_0^6 + 3067/766*c_1100_0^5 + 2313/383*c_1100_0^4 + 4683/766*c_1100_0^3 + 1931/383*c_1100_0^2 + 1297/766*c_1100_0 + 198/383, c_1001_0 + 20/383*c_1100_0^8 - 138/383*c_1100_0^7 - 653/383*c_1100_0^6 - 3067/766*c_1100_0^5 - 2313/383*c_1100_0^4 - 4683/766*c_1100_0^3 - 1931/383*c_1100_0^2 - 1297/766*c_1100_0 - 198/383, c_1001_1 - 20/383*c_1100_0^8 + 138/383*c_1100_0^7 + 653/383*c_1100_0^6 + 3067/766*c_1100_0^5 + 2313/383*c_1100_0^4 + 4683/766*c_1100_0^3 + 1931/383*c_1100_0^2 + 1297/766*c_1100_0 + 198/383, c_1100_0^9 + 9/2*c_1100_0^8 + 45/4*c_1100_0^7 + 147/8*c_1100_0^6 + 171/8*c_1100_0^5 + 18*c_1100_0^4 + 71/8*c_1100_0^3 + 5/2*c_1100_0^2 - 3/8*c_1100_0 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.030 Total time: 1.240 seconds, Total memory usage: 64.12MB