Magma V2.19-8 Tue Aug 20 2013 23:59:11 on localhost [Seed = 3987440774] Type ? for help. Type -D to quit. Loading file "L14n426__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n426 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 1 -1 1 0 -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 -0.028453387106 0.577991518116 0 2 3 5 0132 3201 2310 0132 1 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 0 0 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 -0.028453387106 0.577991518116 2 0 1 2 3012 0132 2310 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588760877363 1.652135254216 4 1 5 0 0132 3201 3201 0132 1 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 0 0 0 0 0 0 0 1 0 -1 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 1.056637362672 1.432656587725 3 6 0 7 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1 1 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 0.276357825564 1.188874669050 3 7 1 6 2310 2310 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.276357825564 1.188874669050 5 4 8 9 3201 0132 0132 0132 1 1 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 1 -1 0 1 0 3 -4 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328107455517 0.562936925028 10 11 4 5 0132 0132 0132 3201 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328107455517 0.562936925028 10 11 10 6 3120 0321 2310 0132 1 1 1 0 0 0 0 0 0 0 -1 1 0 0 0 0 2 -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 3 -3 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617214264470 1.074143736100 10 11 6 11 2103 0213 0132 2310 1 1 0 1 0 0 0 0 0 0 -1 1 -1 1 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 4 -4 1 -1 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617214264470 1.074143736100 7 8 9 8 0132 3201 2103 3120 0 1 1 1 0 1 1 -2 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 -1 1 0 0 0 0 0 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617214264470 1.074143736100 9 7 9 8 3201 0132 0213 0321 1 0 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617214264470 1.074143736100 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_9'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_1001_11']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_6'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_10'], '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_3, c_0011_5, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_1001_11, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 20462293/150525*c_1001_6^3 - 37327679/301050*c_1001_6^2 + 227932927/60210*c_1001_6 - 235659842/150525, c_0011_0 - 1, c_0011_10 - 8/223*c_1001_6^3 + 42/223*c_1001_6^2 - 68/223*c_1001_6 + 178/223, c_0011_3 + 7/223*c_1001_6^3 + 19/223*c_1001_6^2 + 171/223*c_1001_6 - 100/223, c_0011_5 - 7/223*c_1001_6^3 - 19/223*c_1001_6^2 - 171/223*c_1001_6 + 100/223, c_0011_8 - 1, c_0011_9 - 1, c_0101_0 - 22/223*c_1001_6^3 + 4/223*c_1001_6^2 - 633/223*c_1001_6 + 155/223, c_0101_10 - c_1001_6, c_0101_2 - 7/223*c_1001_6^3 - 19/223*c_1001_6^2 - 171/223*c_1001_6 - 123/223, c_0101_3 + 8/223*c_1001_6^3 - 42/223*c_1001_6^2 + 291/223*c_1001_6 - 178/223, c_1001_11 + 8/223*c_1001_6^3 - 42/223*c_1001_6^2 + 291/223*c_1001_6 - 178/223, c_1001_6^4 - c_1001_6^3 + 28*c_1001_6^2 - 14*c_1001_6 + 3 ], 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_5, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_1001_11, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 1304776/118825*c_1001_6^4 + 268658/118825*c_1001_6^3 - 819022/23765*c_1001_6^2 + 797033/9506*c_1001_6 - 5904267/237650, c_0011_0 - 1, c_0011_10 - 20/97*c_1001_6^4 + 2/97*c_1001_6^3 + 22/97*c_1001_6^2 - 36/97*c_1001_6 + 78/97, c_0011_3 - c_1001_6 + 1, c_0011_5 + c_1001_6 - 1, c_0011_8 - 1, c_0011_9 - 1, c_0101_0 + 30/97*c_1001_6^4 - 3/97*c_1001_6^3 - 130/97*c_1001_6^2 + 248/97*c_1001_6 - 117/97, c_0101_10 - c_1001_6, c_0101_2 - 28/97*c_1001_6^4 - 36/97*c_1001_6^3 + 89/97*c_1001_6^2 - 128/97*c_1001_6 - 46/97, c_0101_3 + 20/97*c_1001_6^4 - 2/97*c_1001_6^3 - 22/97*c_1001_6^2 + 133/97*c_1001_6 - 78/97, c_1001_11 + 20/97*c_1001_6^4 - 2/97*c_1001_6^3 - 22/97*c_1001_6^2 + 133/97*c_1001_6 - 78/97, c_1001_6^5 - 1/2*c_1001_6^4 - 3*c_1001_6^3 + 10*c_1001_6^2 - 17/2*c_1001_6 + 7/2 ], 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_5, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_1001_11, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 26898788918689/2610092950038*c_1001_6^7 - 23129423488223/2610092950038*c_1001_6^6 - 45533655721/9255648759*c_1001_6^5 - 1591086077230921/2610092950038*c_1001_6^4 + 3453667950656170/1305046475019*c_1001_6^3 - 79016543815813/17755734354*c_1001_6^2 + 9012720608023129/2610092950038*c_1001_6 - 904692149551321/870030983346, c_0011_0 - 1, c_0011_10 - 25374/78803*c_1001_6^7 - 14914/78803*c_1001_6^6 - 8338/78803*c_1001_6^5 + 1502486/78803*c_1001_6^4 - 4318810/78803*c_1001_6^3 + 4676118/78803*c_1001_6^2 - 2336222/78803*c_1001_6 + 390286/78803, c_0011_3 + 21602/78803*c_1001_6^7 + 11082/78803*c_1001_6^6 + 17577/78803*c_1001_6^5 - 1248026/78803*c_1001_6^4 + 3835206/78803*c_1001_6^3 - 4802537/78803*c_1001_6^2 + 2951720/78803*c_1001_6 - 736817/78803, c_0011_5 - 21602/78803*c_1001_6^7 - 11082/78803*c_1001_6^6 - 17577/78803*c_1001_6^5 + 1248026/78803*c_1001_6^4 - 3835206/78803*c_1001_6^3 + 4802537/78803*c_1001_6^2 - 2951720/78803*c_1001_6 + 736817/78803, c_0011_8 - 1, c_0011_9 + 1, c_0101_0 + 22870/78803*c_1001_6^7 + 5852/78803*c_1001_6^6 + 1602/78803*c_1001_6^5 - 1349861/78803*c_1001_6^4 + 4369227/78803*c_1001_6^3 - 5341494/78803*c_1001_6^2 + 2879773/78803*c_1001_6 - 590410/78803, c_0101_10 - c_1001_6, c_0101_2 - 19161/78803*c_1001_6^7 + 11788/78803*c_1001_6^6 + 11145/78803*c_1001_6^5 + 1134331/78803*c_1001_6^4 - 4651897/78803*c_1001_6^3 + 7161424/78803*c_1001_6^2 - 4801703/78803*c_1001_6 + 1212500/78803, c_0101_3 + 25374/78803*c_1001_6^7 + 14914/78803*c_1001_6^6 + 8338/78803*c_1001_6^5 - 1502486/78803*c_1001_6^4 + 4318810/78803*c_1001_6^3 - 4676118/78803*c_1001_6^2 + 2257419/78803*c_1001_6 - 390286/78803, c_1001_11 + 25374/78803*c_1001_6^7 + 14914/78803*c_1001_6^6 + 8338/78803*c_1001_6^5 - 1502486/78803*c_1001_6^4 + 4318810/78803*c_1001_6^3 - 4676118/78803*c_1001_6^2 + 2257419/78803*c_1001_6 - 390286/78803, c_1001_6^8 - c_1001_6^7 - 59*c_1001_6^5 + 265*c_1001_6^4 - 489*c_1001_6^3 + 464*c_1001_6^2 - 227*c_1001_6 + 47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB