Magma V2.19-8 Wed Aug 21 2013 00:12:47 on localhost [Seed = 1275732033] Type ? for help. Type -D to quit. Loading file "K13n3303__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3303 geometric_solution 11.78768046 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 -1 0 11 0 0 -11 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042507822232 0.703619750874 0 5 6 2 0132 0132 0132 2310 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 0 0 -11 0 0 11 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346179994464 1.061108894267 1 0 8 7 3201 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 -1 1 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195725992112 0.684922752365 8 4 9 0 0213 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871402240207 0.906011052273 10 7 0 3 0132 0132 0132 0321 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582445658082 0.644716191110 11 1 11 10 0132 0132 1230 0321 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 12 0 0 -12 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368189431948 0.226410219049 9 12 11 1 0132 0132 2310 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 12 0 -12 0 0 11 0 -11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425600096263 0.632456249038 11 4 2 8 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603614411723 0.813821309629 3 7 12 2 0213 0321 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 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 0.915694742597 0.711228428600 6 12 10 3 0132 0213 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -12 0 12 0 1 -12 0 11 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617248639450 0.511108449022 4 5 12 9 0132 0321 0132 0132 0 0 0 0 0 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 12 -12 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525047191873 0.820382465791 5 6 7 5 0132 3201 1302 3012 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 -1 0 1 0 0 0 0 -1 1 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601457003521 1.270407565497 8 6 9 10 2310 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 12 -12 0 0 0 0 -1 -11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709719173132 0.406812223969 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_5'], '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_1'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_1001_1'], '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_0011_10']), 'c_0101_10' : negation(d['c_0011_3']), '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_1001_3'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_1001_3'], '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' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], '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_1001_3'], '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_12'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_12']), '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_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0011_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0011_3'], '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_8'], 'c_0110_8' : negation(d['c_0101_0']), '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_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_1, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2760258616743/9756357800*c_1001_3^12 - 2004588988823/9756357800*c_1001_3^11 - 24398499308709/9756357800*c_1001_3^10 - 8135253799409/1219544725*c_1001_3^9 - 112843277871871/9756357800*c_1001_3^8 - 199968387334777/9756357800*c_1001_3^7 - 167291062662701/4878178900*c_1001_3^6 - 216343123624157/4878178900*c_1001_3^5 - 428295105857573/9756357800*c_1001_3^4 - 175367797204311/4878178900*c_1001_3^3 - 116361951557447/4878178900*c_1001_3^2 - 105745463539061/9756357800*c_1001_3 - 12178755058037/4878178900, c_0011_0 - 1, c_0011_10 - 142288/254261*c_1001_3^12 + 58946/254261*c_1001_3^11 - 1208378/254261*c_1001_3^10 - 1984405/254261*c_1001_3^9 - 2560981/254261*c_1001_3^8 - 5418261/254261*c_1001_3^7 - 8226480/254261*c_1001_3^6 - 7418672/254261*c_1001_3^5 - 4776461/254261*c_1001_3^4 - 3090907/254261*c_1001_3^3 - 608854/254261*c_1001_3^2 + 1204341/254261*c_1001_3 + 578978/254261, c_0011_12 - 47171/36323*c_1001_3^12 - 22468/36323*c_1001_3^11 - 402831/36323*c_1001_3^10 - 1019003/36323*c_1001_3^9 - 228202/5189*c_1001_3^8 - 2932297/36323*c_1001_3^7 - 4868347/36323*c_1001_3^6 - 5873818/36323*c_1001_3^5 - 5460155/36323*c_1001_3^4 - 4299455/36323*c_1001_3^3 - 378345/5189*c_1001_3^2 - 957496/36323*c_1001_3 - 131241/36323, c_0011_3 - 35887/254261*c_1001_3^12 - 128998/254261*c_1001_3^11 - 276856/254261*c_1001_3^10 - 1748046/254261*c_1001_3^9 - 2901590/254261*c_1001_3^8 - 4738164/254261*c_1001_3^7 - 8637593/254261*c_1001_3^6 - 12106168/254261*c_1001_3^5 - 12127648/254261*c_1001_3^4 - 9575505/254261*c_1001_3^3 - 6513187/254261*c_1001_3^2 - 2810798/254261*c_1001_3 - 246937/254261, c_0011_8 - 32975/254261*c_1001_3^12 - 42499/254261*c_1001_3^11 - 274476/254261*c_1001_3^10 - 951950/254261*c_1001_3^9 - 1519923/254261*c_1001_3^8 - 2710796/254261*c_1001_3^7 - 4678743/254261*c_1001_3^6 - 6174732/254261*c_1001_3^5 - 5911130/254261*c_1001_3^4 - 5178448/254261*c_1001_3^3 - 3511335/254261*c_1001_3^2 - 1756808/254261*c_1001_3 - 284996/254261, c_0101_0 - 106611/254261*c_1001_3^12 + 19475/254261*c_1001_3^11 - 963127/254261*c_1001_3^10 - 1682426/254261*c_1001_3^9 - 2843866/254261*c_1001_3^8 - 5569247/254261*c_1001_3^7 - 8601331/254261*c_1001_3^6 - 10004713/254261*c_1001_3^5 - 9484730/254261*c_1001_3^4 - 8168033/254261*c_1001_3^3 - 4838133/254261*c_1001_3^2 - 2085249/254261*c_1001_3 - 561219/254261, c_0101_1 - 129657/254261*c_1001_3^12 - 34353/254261*c_1001_3^11 - 1110590/254261*c_1001_3^10 - 2586687/254261*c_1001_3^9 - 3922602/254261*c_1001_3^8 - 7604836/254261*c_1001_3^7 - 12284417/254261*c_1001_3^6 - 14492675/254261*c_1001_3^5 - 13585427/254261*c_1001_3^4 - 10876996/254261*c_1001_3^3 - 6796745/254261*c_1001_3^2 - 2535261/254261*c_1001_3 - 483815/254261, c_0101_5 - 35887/254261*c_1001_3^12 - 128998/254261*c_1001_3^11 - 276856/254261*c_1001_3^10 - 1748046/254261*c_1001_3^9 - 2901590/254261*c_1001_3^8 - 4738164/254261*c_1001_3^7 - 8637593/254261*c_1001_3^6 - 12106168/254261*c_1001_3^5 - 12127648/254261*c_1001_3^4 - 9575505/254261*c_1001_3^3 - 6513187/254261*c_1001_3^2 - 3065059/254261*c_1001_3 - 246937/254261, c_0101_7 - 226666/254261*c_1001_3^12 + 16057/254261*c_1001_3^11 - 1920677/254261*c_1001_3^10 - 3836626/254261*c_1001_3^9 - 5365909/254261*c_1001_3^8 - 10688757/254261*c_1001_3^7 - 16690047/254261*c_1001_3^6 - 17835491/254261*c_1001_3^5 - 14125430/254261*c_1001_3^4 - 10492686/254261*c_1001_3^3 - 4679662/254261*c_1001_3^2 - 206733/254261*c_1001_3 + 292594/254261, c_1001_0 + 1, c_1001_1 + 47171/36323*c_1001_3^12 + 22468/36323*c_1001_3^11 + 402831/36323*c_1001_3^10 + 1019003/36323*c_1001_3^9 + 228202/5189*c_1001_3^8 + 2932297/36323*c_1001_3^7 + 4868347/36323*c_1001_3^6 + 5873818/36323*c_1001_3^5 + 5460155/36323*c_1001_3^4 + 4299455/36323*c_1001_3^3 + 378345/5189*c_1001_3^2 + 957496/36323*c_1001_3 + 131241/36323, c_1001_2 + 310757/254261*c_1001_3^12 + 139238/254261*c_1001_3^11 + 2680590/254261*c_1001_3^10 + 6605077/254261*c_1001_3^9 + 10617176/254261*c_1001_3^8 + 19290455/254261*c_1001_3^7 + 31891653/254261*c_1001_3^6 + 38905848/254261*c_1001_3^5 + 36230149/254261*c_1001_3^4 + 28461644/254261*c_1001_3^3 + 17693579/254261*c_1001_3^2 + 6787923/254261*c_1001_3 + 1061997/254261, c_1001_3^13 + c_1001_3^12 + 9*c_1001_3^11 + 26*c_1001_3^10 + 47*c_1001_3^9 + 83*c_1001_3^8 + 140*c_1001_3^7 + 188*c_1001_3^6 + 195*c_1001_3^5 + 166*c_1001_3^4 + 116*c_1001_3^3 + 59*c_1001_3^2 + 18*c_1001_3 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.270 Total time: 3.480 seconds, Total memory usage: 80.25MB