Magma V2.19-8 Wed Aug 21 2013 01:03:26 on localhost [Seed = 54860555] Type ? for help. Type -D to quit. Loading file "L14n20195__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20195 geometric_solution 12.28774260 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823292362335 0.683009734599 0 5 7 6 0132 0132 0132 0132 1 1 0 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 0 0 0 0 0 -13 13 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414877009580 0.794191668686 8 0 7 9 0132 0132 3120 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 0 0 0 -1 0 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355028605718 1.372255308090 5 8 7 0 0132 0132 2310 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 1 -14 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760066611911 0.800000856472 10 5 0 11 0132 1302 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 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 0.931982941194 0.619812747718 3 1 6 4 0132 0132 2103 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 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 0.343956296991 1.146840522589 5 9 1 10 2103 1023 0132 3012 1 1 1 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 -13 14 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 1.156541968765 0.880130700542 12 3 2 1 0132 3201 3120 0132 1 1 1 1 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 -13 0 13 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 0.601292144754 0.816138178858 2 3 9 10 0132 0132 0213 2031 1 1 1 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 14 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256056301460 0.494757755275 6 8 2 11 1023 0213 0132 2310 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 1 0 -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 0.375819189045 0.656975553895 4 8 6 12 0132 1302 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821883080735 0.803868781256 9 12 4 12 3201 0321 0132 2031 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 -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 0.375819189045 0.656975553895 7 11 10 11 0132 1302 0132 0321 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 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 0.452451775534 0.416685269877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0110_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_0110_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_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' : d['c_0011_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_11, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3850962722155156112611/635491710268384374768*c_1001_0^14 - 29782239634703598997825/423661140178922916512*c_1001_0^13 + 262949806027347011919703/1270983420536768749536*c_1001_0^12 - 83389400883469417770149/423661140178922916512*c_1001_0^11 + 72496933031454591188303/317745855134192187384*c_1001_0^10 + 13087720320293520650179/1270983420536768749536*c_1001_0^9 - 109072824427359392664571/1270983420536768749536*c_1001_0^8 + 304038786690919082642269/635491710268384374768*c_1001_0^7 - 134488975299371789280553/317745855134192187384*c_1001_0^6 + 205547545099123886670157/635491710268384374768*c_1001_0^5 + 625260203283057514283/5251997605523837808*c_1001_0^4 + 38265672196863370303871/423661140178922916512*c_1001_0^3 - 22563228057999759620813/105915285044730729128*c_1001_0^2 + 17341987497820945299707/635491710268384374768*c_1001_0 - 109926426658010828305865/1270983420536768749536, c_0011_0 - 1, c_0011_10 - 121963727712467/4289318548108385*c_1001_0^14 + 1234794013068567/4289318548108385*c_1001_0^13 - 4038305846983143/8578637096216770*c_1001_0^12 - 1163586887891995/1715727419243354*c_1001_0^11 + 7718380499313323/8578637096216770*c_1001_0^10 - 3808407140982843/1715727419243354*c_1001_0^9 + 508107011253937/1715727419243354*c_1001_0^8 - 7598687973156227/4289318548108385*c_1001_0^7 - 8983053905096962/4289318548108385*c_1001_0^6 + 21728829384872103/8578637096216770*c_1001_0^5 - 3437137808616951/779876099656070*c_1001_0^4 - 17010705374459369/8578637096216770*c_1001_0^3 + 7064453177636841/8578637096216770*c_1001_0^2 + 3898918431588989/8578637096216770*c_1001_0 - 5231908604130608/4289318548108385, c_0011_11 + 239027750149393/4289318548108385*c_1001_0^14 - 2827666127349308/4289318548108385*c_1001_0^13 + 8874148936452401/4289318548108385*c_1001_0^12 - 2093829155716346/857863709621677*c_1001_0^11 + 12579427661558669/4289318548108385*c_1001_0^10 - 233749384488127/857863709621677*c_1001_0^9 - 830664373748692/857863709621677*c_1001_0^8 + 22762816996558343/4289318548108385*c_1001_0^7 - 26006727098938972/4289318548108385*c_1001_0^6 + 22524609859108184/4289318548108385*c_1001_0^5 + 219177830613487/389938049828035*c_1001_0^4 + 2456141418285118/4289318548108385*c_1001_0^3 - 4391568577751852/4289318548108385*c_1001_0^2 + 2369569151739387/4289318548108385*c_1001_0 - 2034101633375568/4289318548108385, c_0011_12 + 97767143048376/4289318548108385*c_1001_0^14 - 1143039878523156/4289318548108385*c_1001_0^13 + 3446478865673197/4289318548108385*c_1001_0^12 - 705412687394966/857863709621677*c_1001_0^11 + 3916994860167463/4289318548108385*c_1001_0^10 + 163945998926242/857863709621677*c_1001_0^9 - 690895101313623/857863709621677*c_1001_0^8 + 9542651338921946/4289318548108385*c_1001_0^7 - 7946965444234424/4289318548108385*c_1001_0^6 + 5957041714225193/4289318548108385*c_1001_0^5 + 93352066704404/389938049828035*c_1001_0^4 - 3142387994536254/4289318548108385*c_1001_0^3 - 572186601744764/4289318548108385*c_1001_0^2 + 2976703126562309/4289318548108385*c_1001_0 - 327391011264256/4289318548108385, c_0011_6 + 55001655398451/1715727419243354*c_1001_0^14 - 288916935855419/857863709621677*c_1001_0^13 + 1182544562964825/1715727419243354*c_1001_0^12 + 127544236664110/857863709621677*c_1001_0^11 + 6393871605823/1715727419243354*c_1001_0^10 + 2436428267998111/1715727419243354*c_1001_0^9 + 313815044136835/1715727419243354*c_1001_0^8 + 1723353049220199/857863709621677*c_1001_0^7 + 2388339692321889/1715727419243354*c_1001_0^6 - 427252910449406/857863709621677*c_1001_0^5 + 431897157863953/155975219931214*c_1001_0^4 + 2199383195098587/857863709621677*c_1001_0^3 - 975637705108387/857863709621677*c_1001_0^2 - 690335194699/857863709621677*c_1001_0 + 616359241341582/857863709621677, c_0101_0 - 62454099860573/1715727419243354*c_1001_0^14 + 377978102277812/857863709621677*c_1001_0^13 - 1234415114896257/857863709621677*c_1001_0^12 + 1367577775383356/857863709621677*c_1001_0^11 - 987459383951336/857863709621677*c_1001_0^10 - 908501706036355/1715727419243354*c_1001_0^9 + 1203470999168917/857863709621677*c_1001_0^8 - 5976456175875451/1715727419243354*c_1001_0^7 + 2925602742436419/857863709621677*c_1001_0^6 - 1200184550084435/857863709621677*c_1001_0^5 - 207590641430746/77987609965607*c_1001_0^4 + 1349070600618001/857863709621677*c_1001_0^3 + 3005766272959795/1715727419243354*c_1001_0^2 - 1384939421575109/857863709621677*c_1001_0 - 447252524636601/857863709621677, c_0101_1 - 1, c_0101_10 - 192182937830456/4289318548108385*c_1001_0^14 + 4254368750566697/8578637096216770*c_1001_0^13 - 5257136657804612/4289318548108385*c_1001_0^12 + 593561944641455/1715727419243354*c_1001_0^11 - 968849850939138/4289318548108385*c_1001_0^10 - 2266089694007393/1715727419243354*c_1001_0^9 + 2886787203155719/1715727419243354*c_1001_0^8 - 26078891396440327/8578637096216770*c_1001_0^7 + 6276127016148019/4289318548108385*c_1001_0^6 + 7411122622548399/8578637096216770*c_1001_0^5 - 1016512584711359/389938049828035*c_1001_0^4 + 8188047105195173/8578637096216770*c_1001_0^3 + 5658335049669164/4289318548108385*c_1001_0^2 + 6900630569375016/4289318548108385*c_1001_0 - 2982681491014109/4289318548108385, c_0101_2 + 108439501687039/4289318548108385*c_1001_0^14 - 1071702000541789/4289318548108385*c_1001_0^13 + 1469033842228138/4289318548108385*c_1001_0^12 + 750892690653254/857863709621677*c_1001_0^11 - 5159967290652728/4289318548108385*c_1001_0^10 + 2027934673683075/857863709621677*c_1001_0^9 - 80992926449750/857863709621677*c_1001_0^8 + 3754164685913844/4289318548108385*c_1001_0^7 + 12530740212033039/4289318548108385*c_1001_0^6 - 15478487002527053/4289318548108385*c_1001_0^5 + 1867452840050386/389938049828035*c_1001_0^4 + 10827557836598779/4289318548108385*c_1001_0^3 - 8073092760679636/4289318548108385*c_1001_0^2 - 4882639776333589/4289318548108385*c_1001_0 + 5213142709621646/4289318548108385, c_0101_3 + 180395549164948/4289318548108385*c_1001_0^14 - 4106107094107431/8578637096216770*c_1001_0^13 + 5640837027241446/4289318548108385*c_1001_0^12 - 1505242716855501/1715727419243354*c_1001_0^11 + 2755463306173434/4289318548108385*c_1001_0^10 + 2307538335449409/1715727419243354*c_1001_0^9 - 2668915273880315/1715727419243354*c_1001_0^8 + 33100167988091041/8578637096216770*c_1001_0^7 - 7205588467044067/4289318548108385*c_1001_0^6 + 5660477712651383/8578637096216770*c_1001_0^5 + 1638956194253342/389938049828035*c_1001_0^4 - 2786973742912749/8578637096216770*c_1001_0^3 - 2821702538177822/4289318548108385*c_1001_0^2 + 1782739796068037/4289318548108385*c_1001_0 + 4428022662107057/4289318548108385, c_0110_11 + 20843981692052/389938049828035*c_1001_0^14 - 456314050485549/779876099656070*c_1001_0^13 + 543270819612254/389938049828035*c_1001_0^12 - 38388753840897/155975219931214*c_1001_0^11 + 23202658142776/389938049828035*c_1001_0^10 + 300204050338117/155975219931214*c_1001_0^9 - 179487054912425/155975219931214*c_1001_0^8 + 2537198284543149/779876099656070*c_1001_0^7 + 190714264838257/389938049828035*c_1001_0^6 - 754561010182793/779876099656070*c_1001_0^5 + 1704468246030158/389938049828035*c_1001_0^4 + 1087038857317419/779876099656070*c_1001_0^3 - 891245030195088/389938049828035*c_1001_0^2 - 173547981543262/389938049828035*c_1001_0 + 472076750693253/389938049828035, c_0110_6 - 293919737885683/8578637096216770*c_1001_0^14 + 1741716102762699/4289318548108385*c_1001_0^13 - 11045236062999331/8578637096216770*c_1001_0^12 + 1403241447188643/857863709621677*c_1001_0^11 - 20653387609973109/8578637096216770*c_1001_0^10 + 2358712002192949/1715727419243354*c_1001_0^9 - 175609119711243/1715727419243354*c_1001_0^8 - 13576524321093909/4289318548108385*c_1001_0^7 + 32441230128287847/8578637096216770*c_1001_0^6 - 21722781668369262/4289318548108385*c_1001_0^5 + 2198762549371303/779876099656070*c_1001_0^4 - 7011649260499584/4289318548108385*c_1001_0^3 - 2493140915162009/4289318548108385*c_1001_0^2 - 3553767566096381/4289318548108385*c_1001_0 + 3081053119418914/4289318548108385, c_1001_0^15 - 11*c_1001_0^14 + 27*c_1001_0^13 - 10*c_1001_0^12 + 13*c_1001_0^11 + 25*c_1001_0^10 - 10*c_1001_0^9 + 66*c_1001_0^8 - 14*c_1001_0^7 + 8*c_1001_0^6 + 59*c_1001_0^5 + 46*c_1001_0^4 - 34*c_1001_0^3 - 11*c_1001_0^2 + 14*c_1001_0 + 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB