Magma V2.19-8 Tue Aug 20 2013 23:40:08 on localhost [Seed = 189624238] Type ? for help. Type -D to quit. Loading file "K14n4785__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4785 geometric_solution 10.75192171 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 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 0.617628317636 0.855469649853 0 5 6 2 0132 0132 0132 1302 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998399513915 0.876348963495 7 0 1 6 0132 0132 2031 3201 0 0 0 0 0 0 0 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 0 0 0 -9 0 9 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221716687073 0.705510843479 4 8 9 0 1302 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221716687073 0.705510843479 8 3 0 10 3201 2031 0132 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 -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 0.998399513915 0.876348963495 10 1 8 9 3012 0132 1023 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438571898905 0.617070085356 8 2 10 1 0213 2310 2310 0132 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572001566497 0.858920429991 2 10 9 9 0132 3012 2103 0321 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 1 -1 9 0 -1 -8 0 1 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583376951285 0.998427435301 6 3 5 4 0213 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572001566497 0.858920429991 7 7 5 3 2103 0321 1230 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 0 -1 1 0 -1 0 -1 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583376951285 0.998427435301 7 6 4 5 1230 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438571898905 0.617070085356 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : 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_0110_5'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0110_5'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), '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' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0011_4']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2830947104/129691171*c_0101_7^9 + 21899225325/518764684*c_0101_7^8 + 10885730223/259382342*c_0101_7^7 - 183781168861/518764684*c_0101_7^6 + 225866702207/259382342*c_0101_7^5 + 4706245897/518764684*c_0101_7^4 - 117863286254/129691171*c_0101_7^3 - 76503486222/129691171*c_0101_7^2 + 88371517486/129691171*c_0101_7 + 106413484845/518764684, c_0011_0 - 1, c_0011_10 - 16033707/129691171*c_0101_7^9 - 46618985/129691171*c_0101_7^8 - 77383738/129691171*c_0101_7^7 + 177728884/129691171*c_0101_7^6 - 479779521/129691171*c_0101_7^5 - 470684874/129691171*c_0101_7^4 + 220497127/129691171*c_0101_7^3 + 471917681/129691171*c_0101_7^2 - 4031930/129691171*c_0101_7 + 100445549/129691171, c_0011_3 + 45714603/129691171*c_0101_7^9 + 145911369/129691171*c_0101_7^8 + 256630434/129691171*c_0101_7^7 - 452064457/129691171*c_0101_7^6 + 1199282324/129691171*c_0101_7^5 + 1705735420/129691171*c_0101_7^4 - 365744852/129691171*c_0101_7^3 - 1647972501/129691171*c_0101_7^2 - 540710761/129691171*c_0101_7 - 319426693/129691171, c_0011_4 - 16033707/129691171*c_0101_7^9 - 46618985/129691171*c_0101_7^8 - 77383738/129691171*c_0101_7^7 + 177728884/129691171*c_0101_7^6 - 479779521/129691171*c_0101_7^5 - 470684874/129691171*c_0101_7^4 + 220497127/129691171*c_0101_7^3 + 471917681/129691171*c_0101_7^2 - 4031930/129691171*c_0101_7 + 100445549/129691171, c_0011_6 - 6956388/129691171*c_0101_7^9 - 19165604/129691171*c_0101_7^8 - 27581876/129691171*c_0101_7^7 + 91300505/129691171*c_0101_7^6 - 196660793/129691171*c_0101_7^5 - 179696535/129691171*c_0101_7^4 + 243485411/129691171*c_0101_7^3 + 251031820/129691171*c_0101_7^2 + 102555349/129691171*c_0101_7 + 53244783/129691171, c_0101_0 + 17586719/259382342*c_0101_7^9 + 51431203/259382342*c_0101_7^8 + 39744521/129691171*c_0101_7^7 - 108485006/129691171*c_0101_7^6 + 471148281/259382342*c_0101_7^5 + 553978557/259382342*c_0101_7^4 - 405643639/259382342*c_0101_7^3 - 809465153/259382342*c_0101_7^2 - 140078487/129691171*c_0101_7 + 16255140/129691171, c_0101_1 - 11180791/259382342*c_0101_7^9 - 17640518/129691171*c_0101_7^8 - 28748800/129691171*c_0101_7^7 + 59083120/129691171*c_0101_7^6 - 299752239/259382342*c_0101_7^5 - 246363861/129691171*c_0101_7^4 + 279682585/259382342*c_0101_7^3 + 189917317/129691171*c_0101_7^2 - 73677305/129691171*c_0101_7 - 19733911/129691171, c_0101_10 - 30506173/129691171*c_0101_7^9 - 86567221/129691171*c_0101_7^8 - 140215458/129691171*c_0101_7^7 + 353268622/129691171*c_0101_7^6 - 919152839/129691171*c_0101_7^5 - 799793149/129691171*c_0101_7^4 + 561862453/129691171*c_0101_7^3 + 975172691/129691171*c_0101_7^2 + 110997981/129691171*c_0101_7 + 316318390/129691171, c_0101_5 - 38422583/259382342*c_0101_7^9 - 61412678/129691171*c_0101_7^8 - 104207172/129691171*c_0101_7^7 + 202415050/129691171*c_0101_7^6 - 960421959/259382342*c_0101_7^5 - 753285480/129691171*c_0101_7^4 + 505098583/259382342*c_0101_7^3 + 848208368/129691171*c_0101_7^2 + 185033339/129691171*c_0101_7 + 98523419/129691171, c_0101_7^10 + 2*c_0101_7^9 + 2*c_0101_7^8 - 16*c_0101_7^7 + 39*c_0101_7^6 + 4*c_0101_7^5 - 47*c_0101_7^4 - 20*c_0101_7^3 + 28*c_0101_7^2 + 8, c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB