Magma V2.19-8 Tue Aug 20 2013 23:56:04 on localhost [Seed = 1410481268] Type ? for help. Type -D to quit. Loading file "L14n14076__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14076 geometric_solution 11.05976687 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 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 -0.406717830453 1.263639881587 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -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 0 0.230800501207 0.717078761192 5 0 7 8 0132 0132 2310 0132 1 0 1 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 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 0.230800501207 0.717078761192 6 9 10 0 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079271894071 1.082995618335 11 5 0 10 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 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 -0.025379194497 0.615854314516 2 1 9 4 0132 0132 0132 3201 1 0 1 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 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 -0.406717830453 1.263639881587 11 8 1 3 3120 2103 0132 2310 1 1 1 1 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 -1 0 -3 4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271433598955 0.725820140287 10 2 9 1 0213 3201 3201 0132 1 1 1 0 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 -3 0 0 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996005875314 1.057616334830 10 6 2 11 1302 2103 0132 1302 1 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 0 0 0 0 -1 1 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 0.271433598955 0.725820140287 7 3 11 5 2310 0132 2310 0132 1 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 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 0.079271894071 1.082995618335 7 8 4 3 0213 2031 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 3 1 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310504228169 1.081801917148 4 9 8 6 0132 3201 2031 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.310504228169 1.081801917148 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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_11'], 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(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' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), '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_2'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], '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_0011_10']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 96054746440103747211707328/59444351428083692983888099*c_1100_0^10 + 272715012161374760803232512/59444351428083692983888099*c_1100_0^9 - 404282574154311667442791520/59444351428083692983888099*c_1100_0^8 - 35245101568509428319700616/59444351428083692983888099*c_1100_0^7 + 1023011119025539281022624496/59444351428083692983888099*c_1100_0^6 - 1180154028379217725223726168/59444351428083692983888099*c_1100_0^5 - 1520442401016865416508601/248721135682358548049741*c_1100_0^4 + 1121594425311434990172172411/59444351428083692983888099*c_1100_0^3 - 2524299144191731239656676729/237777405712334771935552396*c_1100_0^2 - 2933218997820660367267024569/475554811424669543871104792*c_1100_0 + 2200481888120010420872488113/475554811424669543871104792, c_0011_0 - 1, c_0011_10 - 40201946819904/11702277728411*c_1100_0^10 + 108533329672960/11702277728411*c_1100_0^9 - 81211677157152/11702277728411*c_1100_0^8 - 71641224861272/11702277728411*c_1100_0^7 + 173509059467664/11702277728411*c_1100_0^6 - 125155108126760/11702277728411*c_1100_0^5 - 35797971416317/11702277728411*c_1100_0^4 + 53648173038345/11702277728411*c_1100_0^3 - 114978361598115/46809110913644*c_1100_0^2 - 128153654877011/93618221827288*c_1100_0 - 83033805211909/93618221827288, c_0011_11 + 31979641241792/11702277728411*c_1100_0^10 - 84872463997696/11702277728411*c_1100_0^9 + 64885076949472/11702277728411*c_1100_0^8 + 61944228619368/11702277728411*c_1100_0^7 - 156643335900464/11702277728411*c_1100_0^6 + 95638830665272/11702277728411*c_1100_0^5 + 80012195124939/11702277728411*c_1100_0^4 - 90890214422799/11702277728411*c_1100_0^3 + 182734227200149/46809110913644*c_1100_0^2 + 247734941848117/93618221827288*c_1100_0 + 4390426684675/93618221827288, c_0011_3 + 927586878592/11702277728411*c_1100_0^10 - 5895278886912/11702277728411*c_1100_0^9 + 8052658629056/11702277728411*c_1100_0^8 + 12084283994928/11702277728411*c_1100_0^7 - 40359647958336/11702277728411*c_1100_0^6 + 29701151201760/11702277728411*c_1100_0^5 + 11172115913034/11702277728411*c_1100_0^4 - 33053399811026/11702277728411*c_1100_0^3 + 38269869354315/23404555456822*c_1100_0^2 - 4441158710465/46809110913644*c_1100_0 - 32462268444115/46809110913644, c_0011_6 + 1505747437120/11702277728411*c_1100_0^10 - 9945777940736/11702277728411*c_1100_0^9 + 26793207506976/11702277728411*c_1100_0^8 - 33823647323720/11702277728411*c_1100_0^7 + 10382607322896/11702277728411*c_1100_0^6 + 25668483262392/11702277728411*c_1100_0^5 - 31932504133263/11702277728411*c_1100_0^4 + 9430559236115/11702277728411*c_1100_0^3 + 33440517731727/46809110913644*c_1100_0^2 + 31573739698319/93618221827288*c_1100_0 - 100469468875519/93618221827288, c_0011_7 - 27112972610368/11702277728411*c_1100_0^10 + 53190350342400/11702277728411*c_1100_0^9 + 4806655322592/11702277728411*c_1100_0^8 - 105422955276952/11702277728411*c_1100_0^7 + 96689254629584/11702277728411*c_1100_0^6 + 15100438263032/11702277728411*c_1100_0^5 - 121532971565397/11702277728411*c_1100_0^4 + 43644533272977/11702277728411*c_1100_0^3 + 37226285680565/46809110913644*c_1100_0^2 - 202352097293339/93618221827288*c_1100_0 - 147941994557597/93618221827288, c_0011_8 - 3360921194304/11702277728411*c_1100_0^10 + 21736335714560/11702277728411*c_1100_0^9 - 42898524765088/11702277728411*c_1100_0^8 + 9655079333864/11702277728411*c_1100_0^7 + 70336688593776/11702277728411*c_1100_0^6 - 85070785665912/11702277728411*c_1100_0^5 + 9588272307195/11702277728411*c_1100_0^4 + 56676240385937/11702277728411*c_1100_0^3 - 186519995148987/46809110913644*c_1100_0^2 - 13809104856459/93618221827288*c_1100_0 + 43082098997403/93618221827288, c_0101_0 + 4425325015680/11702277728411*c_1100_0^10 - 17760646204160/11702277728411*c_1100_0^9 + 21062523470144/11702277728411*c_1100_0^8 + 1212104677232/11702277728411*c_1100_0^7 - 22052218092096/11702277728411*c_1100_0^6 + 16287335869984/11702277728411*c_1100_0^5 + 3319564137074/11702277728411*c_1100_0^4 - 5290875753186/11702277728411*c_1100_0^3 - 10693022345701/23404555456822*c_1100_0^2 - 6191645858105/46809110913644*c_1100_0 + 5139349660973/46809110913644, c_0101_1 + 4003144789312/11702277728411*c_1100_0^10 + 1673024781568/11702277728411*c_1100_0^9 - 29620341917024/11702277728411*c_1100_0^8 + 46199791631320/11702277728411*c_1100_0^7 - 11762070938128/11702277728411*c_1100_0^6 - 37524534478152/11702277728411*c_1100_0^5 + 54263422396365/11702277728411*c_1100_0^4 - 11172273484601/11702277728411*c_1100_0^3 - 13342510095925/46809110913644*c_1100_0^2 + 69187998927659/93618221827288*c_1100_0 + 21089139841141/93618221827288, c_0101_2 - 1, c_1001_1 - 18413730028096/11702277728411*c_1100_0^10 + 47732939710720/11702277728411*c_1100_0^9 - 21510976864160/11702277728411*c_1100_0^8 - 66316419045496/11702277728411*c_1100_0^7 + 105883786831728/11702277728411*c_1100_0^6 - 52446798575656/11702277728411*c_1100_0^5 - 49545086632601/11702277728411*c_1100_0^4 + 58645370305065/11702277728411*c_1100_0^3 - 76203211830527/46809110913644*c_1100_0^2 - 47585017858047/93618221827288*c_1100_0 - 31454820562129/93618221827288, c_1100_0^11 - 3*c_1100_0^10 + 5/2*c_1100_0^9 + 19/8*c_1100_0^8 - 51/8*c_1100_0^7 + 35/8*c_1100_0^6 + 129/64*c_1100_0^5 - 59/16*c_1100_0^4 + 355/256*c_1100_0^3 + 389/512*c_1100_0^2 - 3/64*c_1100_0 - 239/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.380 seconds, Total memory usage: 32.09MB