Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 779072040] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s633 geometric_solution 5.12154789 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 1 -1 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 0.341116975543 0.659803978975 3 2 4 0 0132 3012 0132 0132 0 0 0 0 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 -1 0 1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745052059972 1.051466709261 1 3 0 4 1230 0132 0132 2310 0 0 0 0 0 0 1 -1 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 -1 0 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745052059972 1.051466709261 1 2 3 3 0132 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937345898830 0.898206561295 2 5 5 1 3201 0132 3201 0132 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 1 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 0.053511829245 0.593598839892 4 4 5 5 2310 0132 1230 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.167022449654 0.715949910357 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_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_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 302315719508370/8333872547959*c_0101_5^16 - 51413343852174/8333872547959*c_0101_5^15 + 2442257492710338/8333872547959*c_0101_5^14 + 444177377692474/1190553221137*c_0101_5^13 + 9061562423747123/8333872547959*c_0101_5^12 + 810618838893252/1190553221137*c_0101_5^11 - 592796901775203/1190553221137*c_0101_5^10 - 1354534398242000/8333872547959*c_0101_5^9 + 21986382463924362/8333872547959*c_0101_5^8 + 3033890972798570/1190553221137*c_0101_5^7 - 7486716452055266/8333872547959*c_0101_5^6 - 10277295329465991/8333872547959*c_0101_5^5 + 8312216816062263/8333872547959*c_0101_5^4 + 10210594476749507/8333872547959*c_0101_5^3 + 792243220645789/8333872547959*c_0101_5^2 - 286213614362349/8333872547959*c_0101_5 + 294017695809113/8333872547959, c_0011_0 - 1, c_0011_1 + 4342280091357/1190553221137*c_0101_5^16 + 1031021528174/1190553221137*c_0101_5^15 - 35313416610538/1190553221137*c_0101_5^14 - 6705118923940/170079031591*c_0101_5^13 - 130929902294500/1190553221137*c_0101_5^12 - 1803384484396/24297004513*c_0101_5^11 + 1262732322294/24297004513*c_0101_5^10 + 24924678059170/1190553221137*c_0101_5^9 - 318884491501784/1190553221137*c_0101_5^8 - 46666848149111/170079031591*c_0101_5^7 + 106770684251240/1190553221137*c_0101_5^6 + 165923499008377/1190553221137*c_0101_5^5 - 120601848247211/1190553221137*c_0101_5^4 - 160453435383603/1190553221137*c_0101_5^3 - 13431661441787/1190553221137*c_0101_5^2 + 8652200676213/1190553221137*c_0101_5 - 5391886114266/1190553221137, c_0011_4 + 5008272671106/1190553221137*c_0101_5^16 - 52749433897/1190553221137*c_0101_5^15 - 40414307191842/1190553221137*c_0101_5^14 - 6313624859385/170079031591*c_0101_5^13 - 142442905010512/1190553221137*c_0101_5^12 - 9813130846485/170079031591*c_0101_5^11 + 11449411244185/170079031591*c_0101_5^10 + 7043610529740/1190553221137*c_0101_5^9 - 364526982087406/1190553221137*c_0101_5^8 - 40808250195070/170079031591*c_0101_5^7 + 173386181740578/1190553221137*c_0101_5^6 + 137206284517244/1190553221137*c_0101_5^5 - 160445517167637/1190553221137*c_0101_5^4 - 139131790129232/1190553221137*c_0101_5^3 + 11228062858732/1190553221137*c_0101_5^2 + 3236640911920/1190553221137*c_0101_5 - 5183601868887/1190553221137, c_0101_0 - 6447232256840/1190553221137*c_0101_5^16 - 1149411831230/1190553221137*c_0101_5^15 + 52506740518415/1190553221137*c_0101_5^14 + 9513675713687/170079031591*c_0101_5^13 + 190403313913111/1190553221137*c_0101_5^12 + 17120171666889/170079031591*c_0101_5^11 - 14190973224917/170079031591*c_0101_5^10 - 32155481671801/1190553221137*c_0101_5^9 + 475155220878419/1190553221137*c_0101_5^8 + 65016108787614/170079031591*c_0101_5^7 - 185348195782508/1190553221137*c_0101_5^6 - 235556481655135/1190553221137*c_0101_5^5 + 191556867137408/1190553221137*c_0101_5^4 + 224720309483772/1190553221137*c_0101_5^3 + 6383040057875/1190553221137*c_0101_5^2 - 12517738265943/1190553221137*c_0101_5 + 7648279287430/1190553221137, c_0101_1 + 2508466307993/1190553221137*c_0101_5^16 + 459336162683/1190553221137*c_0101_5^15 - 20407827239370/1190553221137*c_0101_5^14 - 3714010668608/170079031591*c_0101_5^13 - 74346189488031/1190553221137*c_0101_5^12 - 6748606722093/170079031591*c_0101_5^11 + 5374386107213/170079031591*c_0101_5^10 + 11907349806729/1190553221137*c_0101_5^9 - 184965558708492/1190553221137*c_0101_5^8 - 25427019969308/170079031591*c_0101_5^7 + 71257636789358/1190553221137*c_0101_5^6 + 90596476310153/1190553221137*c_0101_5^5 - 74217922475625/1190553221137*c_0101_5^4 - 87978376737848/1190553221137*c_0101_5^3 - 1155042696226/1190553221137*c_0101_5^2 + 6250219823908/1190553221137*c_0101_5 - 3062107157549/1190553221137, c_0101_5^17 + c_0101_5^16 - 8*c_0101_5^15 - 17*c_0101_5^14 - 38*c_0101_5^13 - 43*c_0101_5^12 + 17*c_0101_5^10 - 70*c_0101_5^9 - 131*c_0101_5^8 - 29*c_0101_5^7 + 59*c_0101_5^6 - c_0101_5^5 - 59*c_0101_5^4 - 29*c_0101_5^3 + c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB