Magma V2.19-8 Wed Aug 21 2013 00:56:51 on localhost [Seed = 3002378349] Type ? for help. Type -D to quit. Loading file "L13n3016__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3016 geometric_solution 12.28115315 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 1 -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 1 -1 0 0 1 -1 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095585845470 0.942500526372 0 2 5 4 0132 0321 0132 0321 0 1 1 1 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 1 -1 0 0 0 0 0 1 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571287239304 0.493644183623 6 0 7 1 0132 0132 0132 0321 0 1 1 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 -9 0 0 9 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865083819808 0.906473404348 4 8 9 0 0321 0132 0132 0132 0 1 1 1 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 1 0 -1 -9 0 10 -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 0.467498907575 0.772868171674 3 1 0 10 0321 0321 0132 0132 0 1 1 1 0 0 1 -1 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 -2 -1 0 1 0 0 1 0 -1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331104110894 0.999410421276 11 6 7 1 0132 0321 0213 0132 0 1 1 1 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -10 10 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246179731982 1.052193743777 2 12 8 5 0132 0132 0132 0321 0 1 1 1 0 0 0 0 -1 0 0 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 1 -1 9 0 0 -9 0 10 0 -10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542669203524 0.477684144021 11 5 12 2 1230 0213 0321 0132 0 1 1 1 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 1 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496797936178 0.859406684568 12 3 10 6 0321 0132 0213 0132 0 1 1 1 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 -1 2 -1 -10 0 10 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 0.733120176211 1.184617665387 11 12 10 3 2310 0321 0132 0132 0 1 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 10 0 0 -10 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467498907575 0.772868171674 11 8 4 9 3120 0213 0132 0132 0 1 1 1 0 -1 1 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 -2 2 0 0 0 0 0 0 -10 0 10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046426861302 0.804198833078 5 7 9 10 0132 3012 3201 3120 1 1 1 1 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 0 1 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608052511708 0.695944092171 8 6 7 9 0321 0132 0321 0321 0 1 1 1 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 0 0 0 0 0 10 -10 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702895050661 0.779251089741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], '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_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_1001_5'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_4, c_0011_7, c_0101_1, c_1001_0, c_1001_1, c_1001_2, c_1001_3, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2765689/3062592*c_1100_0^13 - 6857479/3062592*c_1100_0^12 - 79739/47853*c_1100_0^11 + 14460649/3062592*c_1100_0^10 - 1528725/42536*c_1100_0^9 + 154543747/3062592*c_1100_0^8 - 29023843/255216*c_1100_0^7 + 102157511/1020864*c_1100_0^6 - 7012357/42536*c_1100_0^5 + 270518717/3062592*c_1100_0^4 - 363170203/3062592*c_1100_0^3 + 1096831/29448*c_1100_0^2 - 8007899/255216*c_1100_0 + 961553/191412, c_0011_0 - 1, c_0011_10 - 184225/255216*c_1100_0^13 + 492161/255216*c_1100_0^12 + 61939/42536*c_1100_0^11 - 1401145/255216*c_1100_0^10 + 3662909/127608*c_1100_0^9 - 10466747/255216*c_1100_0^8 + 10190029/127608*c_1100_0^7 - 16778597/255216*c_1100_0^6 + 12139753/127608*c_1100_0^5 - 846337/19632*c_1100_0^4 + 13232069/255216*c_1100_0^3 - 947987/127608*c_1100_0^2 + 563707/63804*c_1100_0 + 33521/10634, c_0011_11 + 17216/47853*c_1100_0^13 - 221147/191412*c_1100_0^12 - 7447/191412*c_1100_0^11 + 121040/47853*c_1100_0^10 - 1012703/63804*c_1100_0^9 + 1445363/47853*c_1100_0^8 - 1240947/21268*c_1100_0^7 + 2168713/31902*c_1100_0^6 - 5494543/63804*c_1100_0^5 + 258193/3681*c_1100_0^4 - 11490293/191412*c_1100_0^3 + 6946501/191412*c_1100_0^2 - 86500/5317*c_1100_0 + 293386/47853, c_0011_3 + 20001/42536*c_1100_0^13 - 95243/42536*c_1100_0^12 + 9730/5317*c_1100_0^11 + 223533/42536*c_1100_0^10 - 141870/5317*c_1100_0^9 + 2823975/42536*c_1100_0^8 - 1201537/10634*c_1100_0^7 + 6700253/42536*c_1100_0^6 - 887190/5317*c_1100_0^5 + 551621/3272*c_1100_0^4 - 4869379/42536*c_1100_0^3 + 448093/5317*c_1100_0^2 - 161543/5317*c_1100_0 + 69717/5317, c_0011_4 - 24353/95706*c_1100_0^13 + 27757/191412*c_1100_0^12 + 416987/191412*c_1100_0^11 - 119051/95706*c_1100_0^10 + 102473/21268*c_1100_0^9 + 384704/47853*c_1100_0^8 - 547733/63804*c_1100_0^7 + 1276619/31902*c_1100_0^6 - 583015/21268*c_1100_0^5 + 413651/7362*c_1100_0^4 - 5322215/191412*c_1100_0^3 + 6363661/191412*c_1100_0^2 - 297329/31902*c_1100_0 + 275482/47853, c_0011_7 + 197155/382824*c_1100_0^13 - 725773/382824*c_1100_0^12 + 29971/95706*c_1100_0^11 + 1915939/382824*c_1100_0^10 - 128032/5317*c_1100_0^9 + 18952621/382824*c_1100_0^8 - 1371410/15951*c_1100_0^7 + 13493777/127608*c_1100_0^6 - 1258207/10634*c_1100_0^5 + 3139535/29448*c_1100_0^4 - 29058553/382824*c_1100_0^3 + 2476537/47853*c_1100_0^2 - 302539/15951*c_1100_0 + 389401/47853, c_0101_1 - 424/47853*c_1100_0^13 + 70429/191412*c_1100_0^12 - 156043/191412*c_1100_0^11 - 113231/95706*c_1100_0^10 + 195305/63804*c_1100_0^9 - 592807/47853*c_1100_0^8 + 1030481/63804*c_1100_0^7 - 312577/10634*c_1100_0^6 + 1381735/63804*c_1100_0^5 - 117428/3681*c_1100_0^4 + 2781667/191412*c_1100_0^3 - 2786933/191412*c_1100_0^2 + 72814/15951*c_1100_0 - 100871/47853, c_1001_0 - 1, c_1001_1 - 8681/42536*c_1100_0^13 + 39061/42536*c_1100_0^12 - 13961/21268*c_1100_0^11 - 82237/42536*c_1100_0^10 + 226501/21268*c_1100_0^9 - 1171767/42536*c_1100_0^8 + 1023801/21268*c_1100_0^7 - 2988733/42536*c_1100_0^6 + 1633811/21268*c_1100_0^5 - 270625/3272*c_1100_0^4 + 2386713/42536*c_1100_0^3 - 1021701/21268*c_1100_0^2 + 88617/5317*c_1100_0 - 51063/5317, c_1001_2 - 59599/382824*c_1100_0^13 + 90745/382824*c_1100_0^12 + 33274/47853*c_1100_0^11 - 228187/382824*c_1100_0^10 + 83300/15951*c_1100_0^9 - 1017001/382824*c_1100_0^8 + 108573/10634*c_1100_0^7 + 291347/127608*c_1100_0^6 + 296555/31902*c_1100_0^5 + 370081/29448*c_1100_0^4 + 1500169/382824*c_1100_0^3 + 562202/47853*c_1100_0^2 - 2117/5317*c_1100_0 + 166181/47853, c_1001_3 - 7699/47853*c_1100_0^13 + 150205/191412*c_1100_0^12 - 116683/191412*c_1100_0^11 - 187865/95706*c_1100_0^10 + 572155/63804*c_1100_0^9 - 1104403/47853*c_1100_0^8 + 805803/21268*c_1100_0^7 - 861772/15951*c_1100_0^6 + 3467927/63804*c_1100_0^5 - 422065/7362*c_1100_0^4 + 6568507/191412*c_1100_0^3 - 5195657/191412*c_1100_0^2 + 86915/10634*c_1100_0 - 137990/47853, c_1001_5 - 32677/191412*c_1100_0^13 + 28048/47853*c_1100_0^12 - 21919/191412*c_1100_0^11 - 245707/191412*c_1100_0^10 + 513443/63804*c_1100_0^9 - 2982961/191412*c_1100_0^8 + 1945667/63804*c_1100_0^7 - 765735/21268*c_1100_0^6 + 2949415/63804*c_1100_0^5 - 543023/14724*c_1100_0^4 + 1619299/47853*c_1100_0^3 - 3134087/191412*c_1100_0^2 + 150667/15951*c_1100_0 - 71384/47853, c_1100_0^14 - 3*c_1100_0^13 + 5*c_1100_0^11 - 44*c_1100_0^10 + 79*c_1100_0^9 - 176*c_1100_0^8 + 201*c_1100_0^7 - 300*c_1100_0^6 + 233*c_1100_0^5 - 263*c_1100_0^4 + 136*c_1100_0^3 - 112*c_1100_0^2 + 32*c_1100_0 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB