Magma V2.19-8 Tue Aug 20 2013 23:43:54 on localhost [Seed = 2378950802] Type ? for help. Type -D to quit. Loading file "L14n13206__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13206 geometric_solution 10.36486961 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 -2 2 0 0 0 0 2 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650223497358 1.019657943838 0 2 4 3 0132 3201 0132 0132 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -2 0 2 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 -2 0 2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045052087541 0.857353964074 5 6 1 0 0132 0132 2310 0132 0 0 0 1 0 -1 -1 2 0 0 0 0 0 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 -3 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 0.045052087541 0.857353964074 7 4 1 8 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 5 0 0 -5 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884721509242 0.917300690882 9 3 7 1 0132 0132 0213 0132 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 -2 0 0 0 0 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 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315238399975 0.495044932291 2 8 7 6 0132 0321 0132 1023 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 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -0.076597953528 1.023859228823 8 2 9 5 0321 0132 1023 1023 0 1 1 0 0 1 -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 0 0 0 0 -1 1 0 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.195302106826 1.188321375178 3 4 10 5 0132 0213 0132 0132 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857905178159 0.734998523223 6 10 3 5 0321 0132 0132 0321 1 0 1 1 0 1 0 -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 -4 -1 5 0 0 0 0 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536530947403 0.600978968564 4 10 6 10 0132 2031 1023 0132 1 0 1 0 0 1 0 -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 -4 0 4 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 0.385442236606 0.753227346348 9 8 9 7 1302 0132 0132 0132 1 0 1 1 0 -1 1 0 -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 4 -4 0 1 0 -1 0 4 0 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385442236606 0.753227346348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_4'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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_1100_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1100_10']), 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_1100_10'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_1001_5'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_4, c_1001_5, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 6813161001/1003945085*c_1100_10^10 + 35896279/1003945085*c_1100_10^9 - 35446305461/1003945085*c_1100_10^8 - 298204078/52839215*c_1100_10^7 - 54522548974/1003945085*c_1100_10^6 - 145862349486/1003945085*c_1100_10^5 + 47492242817/1003945085*c_1100_10^4 + 3567262706/1003945085*c_1100_10^3 - 160216968493/1003945085*c_1100_10^2 - 103121959467/1003945085*c_1100_10 - 18592705336/1003945085, c_0011_0 - 1, c_0011_10 + 823852/1404119*c_1100_10^10 - 557575/1404119*c_1100_10^9 + 4446277/1404119*c_1100_10^8 - 117191/73901*c_1100_10^7 + 7056266/1404119*c_1100_10^6 + 13067184/1404119*c_1100_10^5 - 15658665/1404119*c_1100_10^4 + 5637824/1404119*c_1100_10^3 + 19803922/1404119*c_1100_10^2 - 1690917/1404119*c_1100_10 - 1655367/1404119, c_0011_2 - 1564280/1404119*c_1100_10^10 + 450399/1404119*c_1100_10^9 - 7918769/1404119*c_1100_10^8 + 34169/73901*c_1100_10^7 - 10904322/1404119*c_1100_10^6 - 31515321/1404119*c_1100_10^5 + 22194718/1404119*c_1100_10^4 + 225410/1404119*c_1100_10^3 - 46647218/1404119*c_1100_10^2 - 6971204/1404119*c_1100_10 + 5259852/1404119, c_0011_3 - 557575/1404119*c_1100_10^10 + 327017/1404119*c_1100_10^9 - 3050481/1404119*c_1100_10^8 + 67858/73901*c_1100_10^7 - 5057560/1404119*c_1100_10^6 - 9067849/1404119*c_1100_10^5 + 8933232/1404119*c_1100_10^4 - 4087786/1404119*c_1100_10^3 - 13224845/1404119*c_1100_10^2 - 831515/1404119*c_1100_10 - 580267/1404119, c_0101_0 + 2662072/1404119*c_1100_10^10 - 947234/1404119*c_1100_10^9 + 13702698/1404119*c_1100_10^8 - 113201/73901*c_1100_10^7 + 19660960/1404119*c_1100_10^6 + 51809280/1404119*c_1100_10^5 - 39571606/1404119*c_1100_10^4 + 4724001/1404119*c_1100_10^3 + 75790192/1404119*c_1100_10^2 + 9510905/1404119*c_1100_10 - 5804569/1404119, c_0101_1 + 1097792/1404119*c_1100_10^10 - 496835/1404119*c_1100_10^9 + 5783929/1404119*c_1100_10^8 - 79032/73901*c_1100_10^7 + 8756638/1404119*c_1100_10^6 + 20293959/1404119*c_1100_10^5 - 17376888/1404119*c_1100_10^4 + 4949411/1404119*c_1100_10^3 + 29142974/1404119*c_1100_10^2 + 2539701/1404119*c_1100_10 - 544717/1404119, c_0101_2 + 1, c_0101_6 + 1124984/1404119*c_1100_10^10 - 540217/1404119*c_1100_10^9 + 5794738/1404119*c_1100_10^8 - 84656/73901*c_1100_10^7 + 8087194/1404119*c_1100_10^6 + 21050570/1404119*c_1100_10^5 - 20225982/1404119*c_1100_10^4 + 3943720/1404119*c_1100_10^3 + 31762911/1404119*c_1100_10^2 - 1572472/1404119*c_1100_10 - 2833170/1404119, c_1001_4 - 1177803/1404119*c_1100_10^10 + 301132/1404119*c_1100_10^9 - 5871657/1404119*c_1100_10^8 + 8982/73901*c_1100_10^7 - 7626456/1404119*c_1100_10^6 - 24880738/1404119*c_1100_10^5 + 17405810/1404119*c_1100_10^4 + 143895/1404119*c_1100_10^3 - 35850391/1404119*c_1100_10^2 - 4530253/1404119*c_1100_10 + 2700367/1404119, c_1001_5 + 1564280/1404119*c_1100_10^10 - 450399/1404119*c_1100_10^9 + 7918769/1404119*c_1100_10^8 - 34169/73901*c_1100_10^7 + 10904322/1404119*c_1100_10^6 + 31515321/1404119*c_1100_10^5 - 22194718/1404119*c_1100_10^4 - 225410/1404119*c_1100_10^3 + 46647218/1404119*c_1100_10^2 + 6971204/1404119*c_1100_10 - 5259852/1404119, c_1100_10^11 + 5*c_1100_10^9 + c_1100_10^8 + 7*c_1100_10^7 + 22*c_1100_10^6 - 8*c_1100_10^5 - 4*c_1100_10^4 + 29*c_1100_10^3 + 14*c_1100_10^2 - c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB