Magma V2.19-8 Tue Aug 20 2013 23:52:38 on localhost [Seed = 4138769710] Type ? for help. Type -D to quit. Loading file "L13n3116__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3116 geometric_solution 11.41435518 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 -1 0 1 1 0 -1 0 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 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 0 0 0 0 -1 0 1 0 -1 1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 0 5 9 0132 0132 0132 0132 1 1 1 1 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 1 3 -4 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 0.363660575536 0.662426631042 8 10 9 0 3012 0132 1230 0132 1 0 1 1 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 0 0 -1 1 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 8 5 0 10 1023 1023 0132 3120 1 0 1 1 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 0 -1 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477971054952 0.922668179548 4 1 7 2 1023 0132 3012 0132 1 1 1 1 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 0 0 0 0 0 3 -3 0 0 0 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464508491980 0.821002759992 9 11 1 10 0213 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124051891103 0.638344431521 11 5 10 1 3120 1230 0132 0132 1 0 1 1 0 0 0 0 -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 0 0 0 1 0 0 -1 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.306852354313 0.628997486716 2 4 11 3 0132 1023 1302 1230 0 1 1 1 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 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 0.754191764002 0.785110414631 6 11 2 3 0213 0213 0132 3012 1 1 0 1 0 0 1 -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 0 4 -4 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 0.464508491980 0.821002759992 4 3 6 7 3120 0132 0132 0132 1 0 1 1 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 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 6 9 7 2031 0132 0213 3120 1 0 1 1 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 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 0.557341126612 0.854502072119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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_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' : negation(d['c_1001_3']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_3'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_11, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 15073/11*c_1100_1^5 + 2979*c_1100_1^4 + 54579/11*c_1100_1^3 + 5593/11*c_1100_1^2 - 5564*c_1100_1 + 86023/11, c_0011_0 - 1, c_0011_10 - 9/44*c_1100_1^5 + 13/44*c_1100_1^4 + 45/44*c_1100_1^3 + 13/22*c_1100_1^2 - 3/22*c_1100_1 + 5/4, c_0011_11 - 5/22*c_1100_1^5 + 1/2*c_1100_1^4 + 19/22*c_1100_1^3 - 1/11*c_1100_1^2 - 15/11*c_1100_1 + 29/22, c_0011_7 - 3/44*c_1100_1^5 + 7/44*c_1100_1^4 + 3/44*c_1100_1^3 + 5/22*c_1100_1^2 + 9/22*c_1100_1 + 25/44, c_0011_9 - 1, c_0101_1 - 1/44*c_1100_1^5 + 5/44*c_1100_1^4 - 1/4*c_1100_1^3 - 5/22*c_1100_1^2 - 9/22*c_1100_1 + 15/44, c_0101_10 + 1/44*c_1100_1^5 - 5/44*c_1100_1^4 + 1/4*c_1100_1^3 + 5/22*c_1100_1^2 + 9/22*c_1100_1 - 15/44, c_0101_3 + 5/44*c_1100_1^5 - 3/44*c_1100_1^4 - 3/4*c_1100_1^3 - 4/11*c_1100_1^2 + 6/11*c_1100_1 - 9/44, c_0101_5 + 1/44*c_1100_1^5 + 1/44*c_1100_1^4 - 5/44*c_1100_1^3 - 5/11*c_1100_1^2 - 9/11*c_1100_1 + 1/4, c_1001_0 - 3/44*c_1100_1^5 + 1/44*c_1100_1^4 + 19/44*c_1100_1^3 + 10/11*c_1100_1^2 - 4/11*c_1100_1 - 1/44, c_1001_3 + 3/44*c_1100_1^5 - 7/44*c_1100_1^4 - 3/44*c_1100_1^3 - 5/22*c_1100_1^2 - 9/22*c_1100_1 - 25/44, c_1100_1^6 - 2*c_1100_1^5 - 4*c_1100_1^4 - c_1100_1^3 + 4*c_1100_1^2 - 5*c_1100_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 24567331/415449*c_1100_1^6 - 300221156/415449*c_1100_1^5 - 1387374548/415449*c_1100_1^4 - 3045645137/415449*c_1100_1^3 - 3447951638/415449*c_1100_1^2 - 709015694/138483*c_1100_1 - 724577605/415449, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 22/223*c_1100_1^6 - 289/223*c_1100_1^5 - 1461/223*c_1100_1^4 - 3581/223*c_1100_1^3 - 4638/223*c_1100_1^2 - 3424/223*c_1100_1 - 1121/223, c_0011_7 + 83/223*c_1100_1^6 + 918/223*c_1100_1^5 + 3657/223*c_1100_1^4 + 6364/223*c_1100_1^3 + 5314/223*c_1100_1^2 + 2599/223*c_1100_1 + 793/223, c_0011_9 - 1, c_0101_1 + 31/223*c_1100_1^6 + 316/223*c_1100_1^5 + 1116/223*c_1100_1^4 + 1630/223*c_1100_1^3 + 1305/223*c_1100_1^2 + 831/223*c_1100_1 + 49/223, c_0101_10 + 3/223*c_1100_1^6 + 9/223*c_1100_1^5 - 115/223*c_1100_1^4 - 576/223*c_1100_1^3 - 665/223*c_1100_1^2 - 344/223*c_1100_1 - 283/223, c_0101_3 - 53/223*c_1100_1^6 - 605/223*c_1100_1^5 - 2577/223*c_1100_1^4 - 5211/223*c_1100_1^3 - 5720/223*c_1100_1^2 - 3586/223*c_1100_1 - 1170/223, c_0101_5 - 55/223*c_1100_1^6 - 611/223*c_1100_1^5 - 2426/223*c_1100_1^4 - 4158/223*c_1100_1^3 - 3344/223*c_1100_1^2 - 1424/223*c_1100_1 - 238/223, c_1001_0 + 53/223*c_1100_1^6 + 605/223*c_1100_1^5 + 2577/223*c_1100_1^4 + 5211/223*c_1100_1^3 + 5720/223*c_1100_1^2 + 3363/223*c_1100_1 + 724/223, c_1001_3 + 52/223*c_1100_1^6 + 602/223*c_1100_1^5 + 2541/223*c_1100_1^4 + 4734/223*c_1100_1^3 + 4009/223*c_1100_1^2 + 1768/223*c_1100_1 + 521/223, c_1100_1^7 + 13*c_1100_1^6 + 66*c_1100_1^5 + 168*c_1100_1^4 + 237*c_1100_1^3 + 196*c_1100_1^2 + 97*c_1100_1 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB