Magma V2.19-8 Tue Aug 20 2013 23:39:51 on localhost [Seed = 4020865873] Type ? for help. Type -D to quit. Loading file "K14n19947__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n19947 geometric_solution 9.93654872 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 -1 0 -1 0 0 1 16 -1 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832536359387 0.794073176390 0 3 6 5 0132 3120 0132 0132 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 -1 0 0 1 -16 15 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703111599059 0.689840509335 7 0 7 8 0132 0132 0321 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 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 0.368941409340 0.393939354309 9 1 9 0 0132 3120 0213 0132 0 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 1 0 -1 0 0 -1 1 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334470527414 0.442798857686 8 10 0 5 3201 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.086781520175 0.711188139911 6 9 1 4 2310 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447241482275 0.619227023946 10 9 5 1 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.868489148429 0.934238117732 2 8 2 10 0132 2103 0321 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586850354297 0.912796780627 10 7 2 4 0132 2103 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108092749436 1.125325598762 3 3 6 5 0132 0213 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371834797424 0.772368060192 8 4 6 7 0132 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.713884689961 0.975611756552 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_0011_0'], 'c_1010_10' : d['c_1001_2'], '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_0101_1']), '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_0011_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0011_10']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_10' : negation(d['c_0101_2']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), '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_0'], 'c_0101_8' : negation(d['c_0101_2']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 5037607340582007/21623217783595*c_1001_2^13 - 32537738926747057/21623217783595*c_1001_2^12 - 18182569136866933/4324643556719*c_1001_2^11 - 106751774567077263/21623217783595*c_1001_2^10 + 28469851068448073/21623217783595*c_1001_2^9 + 223094437228447566/21623217783595*c_1001_2^8 + 33001349411910762/4324643556719*c_1001_2^7 - 153478037470136227/21623217783595*c_1001_2^6 - 307508785217207189/21623217783595*c_1001_2^5 - 95413191816526041/21623217783595*c_1001_2^4 + 136879899423865716/21623217783595*c_1001_2^3 + 141679727671082391/21623217783595*c_1001_2^2 + 43653621367336987/21623217783595*c_1001_2 + 3269794343094363/21623217783595, c_0011_0 - 1, c_0011_10 + 5729/2083*c_1001_2^13 + 44658/2083*c_1001_2^12 + 150821/2083*c_1001_2^11 + 246697/2083*c_1001_2^10 + 95137/2083*c_1001_2^9 - 333303/2083*c_1001_2^8 - 504438/2083*c_1001_2^7 + 14957/2083*c_1001_2^6 + 628682/2083*c_1001_2^5 + 492336/2083*c_1001_2^4 - 121383/2083*c_1001_2^3 - 374106/2083*c_1001_2^2 - 201537/2083*c_1001_2 - 30063/2083, c_0011_3 - 12141/2083*c_1001_2^13 - 91459/2083*c_1001_2^12 - 297668/2083*c_1001_2^11 - 459613/2083*c_1001_2^10 - 126271/2083*c_1001_2^9 + 680608/2083*c_1001_2^8 + 901027/2083*c_1001_2^7 - 145972/2083*c_1001_2^6 - 1199288/2083*c_1001_2^5 - 820847/2083*c_1001_2^4 + 297815/2083*c_1001_2^3 + 674023/2083*c_1001_2^2 + 336316/2083*c_1001_2 + 46048/2083, c_0011_5 - 4356/2083*c_1001_2^13 - 31832/2083*c_1001_2^12 - 100196/2083*c_1001_2^11 - 145440/2083*c_1001_2^10 - 19116/2083*c_1001_2^9 + 246066/2083*c_1001_2^8 + 280115/2083*c_1001_2^7 - 98725/2083*c_1001_2^6 - 413055/2083*c_1001_2^5 - 224210/2083*c_1001_2^4 + 151090/2083*c_1001_2^3 + 219901/2083*c_1001_2^2 + 80864/2083*c_1001_2 - 1571/2083, c_0011_6 - 4547/2083*c_1001_2^13 - 37805/2083*c_1001_2^12 - 135557/2083*c_1001_2^11 - 240009/2083*c_1001_2^10 - 124810/2083*c_1001_2^9 + 288723/2083*c_1001_2^8 + 516262/2083*c_1001_2^7 + 52703/2083*c_1001_2^6 - 602717/2083*c_1001_2^5 - 532043/2083*c_1001_2^4 + 87001/2083*c_1001_2^3 + 376200/2083*c_1001_2^2 + 207563/2083*c_1001_2 + 30693/2083, c_0101_0 - 2472/2083*c_1001_2^13 - 18403/2083*c_1001_2^12 - 58473/2083*c_1001_2^11 - 85084/2083*c_1001_2^10 - 9230/2083*c_1001_2^9 + 148713/2083*c_1001_2^8 + 164518/2083*c_1001_2^7 - 66567/2083*c_1001_2^6 - 248677/2083*c_1001_2^5 - 124116/2083*c_1001_2^4 + 98625/2083*c_1001_2^3 + 131925/2083*c_1001_2^2 + 40995/2083*c_1001_2 - 6911/2083, c_0101_1 + 5729/2083*c_1001_2^13 + 42575/2083*c_1001_2^12 + 136240/2083*c_1001_2^11 + 202954/2083*c_1001_2^10 + 36813/2083*c_1001_2^9 - 331220/2083*c_1001_2^8 - 396122/2083*c_1001_2^7 + 117024/2083*c_1001_2^6 + 568275/2083*c_1001_2^5 + 327779/2083*c_1001_2^4 - 192205/2083*c_1001_2^3 - 307450/2083*c_1001_2^2 - 122383/2083*c_1001_2 - 901/2083, c_0101_2 + 8165/2083*c_1001_2^13 + 62884/2083*c_1001_2^12 + 210394/2083*c_1001_2^11 + 340512/2083*c_1001_2^10 + 126640/2083*c_1001_2^9 - 464248/2083*c_1001_2^8 - 693720/2083*c_1001_2^7 + 25982/2083*c_1001_2^6 + 870795/2083*c_1001_2^5 + 680532/2083*c_1001_2^4 - 171866/2083*c_1001_2^3 - 521067/2083*c_1001_2^2 - 277619/2083*c_1001_2 - 38228/2083, c_0101_6 - 3174/2083*c_1001_2^13 - 27062/2083*c_1001_2^12 - 99513/2083*c_1001_2^11 - 182495/2083*c_1001_2^10 - 107113/2083*c_1001_2^9 + 203569/2083*c_1001_2^8 + 400255/2083*c_1001_2^7 + 71002/2083*c_1001_2^6 - 447497/2083*c_1001_2^5 - 428474/2083*c_1001_2^4 + 45886/2083*c_1001_2^3 + 290734/2083*c_1001_2^2 + 168127/2083*c_1001_2 + 26138/2083, c_1001_1 - 11333/2083*c_1001_2^13 - 88875/2083*c_1001_2^12 - 301064/2083*c_1001_2^11 - 492870/2083*c_1001_2^10 - 187126/2083*c_1001_2^9 + 673882/2083*c_1001_2^8 + 1009922/2083*c_1001_2^7 - 45707/2083*c_1001_2^6 - 1273455/2083*c_1001_2^5 - 973876/2083*c_1001_2^4 + 265275/2083*c_1001_2^3 + 751817/2083*c_1001_2^2 + 387368/2083*c_1001_2 + 50909/2083, c_1001_2^14 + 8*c_1001_2^13 + 28*c_1001_2^12 + 49*c_1001_2^11 + 27*c_1001_2^10 - 53*c_1001_2^9 - 101*c_1001_2^8 - 20*c_1001_2^7 + 108*c_1001_2^6 + 113*c_1001_2^5 + 2*c_1001_2^4 - 70*c_1001_2^3 - 52*c_1001_2^2 - 14*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.920 seconds, Total memory usage: 32.09MB