Magma V2.19-8 Wed Aug 21 2013 01:04:15 on localhost [Seed = 4038518954] Type ? for help. Type -D to quit. Loading file "L14n24002__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24002 geometric_solution 12.23328472 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 0 1 0 -1 0 0 1 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718708686543 1.018319862722 0 5 7 6 0132 0132 0132 0132 1 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292668868584 0.862634694744 7 0 9 8 0132 0132 0132 0132 1 1 1 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 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 0.646278407664 0.342214330923 10 11 11 0 0132 0132 1302 0132 1 1 1 1 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 1 -1 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686778853291 0.906312377183 8 6 0 10 0132 3012 0132 3012 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 -1 0 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 0.180904898357 0.649070548422 12 1 11 8 0132 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287864195507 0.518264596727 4 9 1 12 1230 3120 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 -1 0 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 0.405402847823 0.505225109918 2 12 10 1 0132 0132 2031 0132 1 1 0 1 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 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 0.445336467408 1.739891769315 4 5 2 9 0132 0321 0132 3120 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 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 0.596518329561 0.816112550824 8 6 11 2 3120 3120 1230 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 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 0.669980709824 0.548396848053 3 12 4 7 0132 1302 1230 1302 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 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049844307167 1.197720039348 3 3 5 9 2031 0132 0321 3012 1 1 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 0 0 0 0 0 0 0 0 -2 1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468876180275 0.700901155193 5 7 6 10 0132 0132 0132 2031 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 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 0.396900755723 1.059242881344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1010_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_9, c_1001_0, c_1001_5, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 66072910006646999376/836673426599684075*c_1010_10^7 + 2338242531453893181787/836673426599684075*c_1010_10^6 - 23084247011554532453688/836673426599684075*c_1010_10^5 + 37306374342316732752026/836673426599684075*c_1010_10^4 - 1838601681702129914077/22612795313504975*c_1010_10^3 + 32188406304035984732361/836673426599684075*c_1010_10^2 + 642482240473891926163/836673426599684075*c_1010_10 + 1945443228675340755133/836673426599684075, c_0011_0 - 1, c_0011_10 + 27625320616/872238970627*c_1010_10^7 - 973025319908/872238970627*c_1010_10^6 + 9488087650018/872238970627*c_1010_10^5 - 13966985506660/872238970627*c_1010_10^4 + 25615366704332/872238970627*c_1010_10^3 - 8346078006662/872238970627*c_1010_10^2 - 2770718356953/872238970627*c_1010_10 - 643191409966/872238970627, c_0011_4 + 2179681160/872238970627*c_1010_10^7 - 77559621447/872238970627*c_1010_10^6 + 780001547402/872238970627*c_1010_10^5 - 1495098207861/872238970627*c_1010_10^4 + 3451222571452/872238970627*c_1010_10^3 - 1001022804957/872238970627*c_1010_10^2 + 361604971466/872238970627*c_1010_10 - 263963476878/872238970627, c_0011_6 - 3405762687/872238970627*c_1010_10^7 + 122541101515/872238970627*c_1010_10^6 - 1260852364836/872238970627*c_1010_10^5 + 2613321262917/872238970627*c_1010_10^4 - 4472401314471/872238970627*c_1010_10^3 + 2953241190854/872238970627*c_1010_10^2 + 1150242979445/872238970627*c_1010_10 - 331235404865/872238970627, c_0011_9 - 2086401331/872238970627*c_1010_10^7 + 77720934217/872238970627*c_1010_10^6 - 867238463253/872238970627*c_1010_10^5 + 2564798717647/872238970627*c_1010_10^4 - 4656019984206/872238970627*c_1010_10^3 + 5704732965343/872238970627*c_1010_10^2 - 1630448748177/872238970627*c_1010_10 + 92275682048/872238970627, c_0101_0 - 1, c_0101_1 - 26305959260/872238970627*c_1010_10^7 + 928205152610/872238970627*c_1010_10^6 - 9094473748435/872238970627*c_1010_10^5 + 13918462961390/872238970627*c_1010_10^4 - 25798985374067/872238970627*c_1010_10^3 + 11097569781151/872238970627*c_1010_10^2 - 9973370669/872238970627*c_1010_10 + 1066702496879/872238970627, c_0101_11 + 2910745415/872238970627*c_1010_10^7 - 98867082378/872238970627*c_1010_10^6 + 872902563081/872238970627*c_1010_10^5 - 282282943444/872238970627*c_1010_10^4 + 1444881889181/872238970627*c_1010_10^3 + 2128153060691/872238970627*c_1010_10^2 - 289770322243/872238970627*c_1010_10 - 570461103991/872238970627, c_0101_7 + 30571615447/872238970627*c_1010_10^7 - 1085422168750/872238970627*c_1010_10^6 + 10805102250637/872238970627*c_1010_10^5 - 18466882162390/872238970627*c_1010_10^4 + 33152299620141/872238970627*c_1010_10^3 - 17435707824859/872238970627*c_1010_10^2 + 92542238195/872238970627*c_1010_10 - 13571501576/872238970627, c_0101_9 - 9993867188/872238970627*c_1010_10^7 + 355112493666/872238970627*c_1010_10^6 - 3543670544215/872238970627*c_1010_10^5 + 6182685597674/872238970627*c_1010_10^4 - 11447875437190/872238970627*c_1010_10^3 + 6785542082712/872238970627*c_1010_10^2 - 1644110970378/872238970627*c_1010_10 + 788342388476/872238970627, c_1001_0 + 12922387311/872238970627*c_1010_10^7 - 460744459276/872238970627*c_1010_10^6 + 4638629126065/872238970627*c_1010_10^5 - 8573775397261/872238970627*c_1010_10^4 + 15938782839685/872238970627*c_1010_10^3 - 10266280461465/872238970627*c_1010_10^2 + 2494736621517/872238970627*c_1010_10 - 322643500963/872238970627, c_1001_5 + 9534399332/872238970627*c_1010_10^7 - 344968240993/872238970627*c_1010_10^6 + 3599832779998/872238970627*c_1010_10^5 - 8069260990487/872238970627*c_1010_10^4 + 14512407038528/872238970627*c_1010_10^3 - 12921930710055/872238970627*c_1010_10^2 + 4785375574344/872238970627*c_1010_10 - 489957884951/872238970627, c_1010_10^8 - 36*c_1010_10^7 + 371*c_1010_10^6 - 778*c_1010_10^5 + 1373*c_1010_10^4 - 1112*c_1010_10^3 + 281*c_1010_10^2 - 16*c_1010_10 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB