Magma V2.19-8 Wed Aug 21 2013 00:56:58 on localhost [Seed = 4122210082] Type ? for help. Type -D to quit. Loading file "L13n3191__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3191 geometric_solution 11.91846510 oriented_manifold CS_known 0.0000000000000000 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 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 1 4 -5 -4 0 4 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 0.556421848511 1.031756182763 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 4 0 -4 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 0.103269651719 0.828322528485 6 0 9 8 0132 0132 0132 0132 1 1 0 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 0 0 0 -1 1 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 0.882410703334 0.978441484715 10 5 7 0 0132 1230 1302 0132 1 1 0 1 0 0 1 -1 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 4 -4 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797402392644 1.262027301743 10 7 0 9 3012 0132 0132 3120 1 1 1 1 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 0 5 -5 5 0 0 -5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266691451102 0.825168213633 11 1 3 9 0132 0132 3012 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634508430684 0.423783350040 2 12 1 8 0132 0132 0132 0213 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460134010365 0.777891456250 3 4 11 1 2031 0132 1023 0132 1 1 1 1 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 0 0 -4 0 0 4 -1 0 0 1 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332028280993 0.925562026289 10 11 2 6 2103 1302 0132 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473887963984 0.987692834481 4 5 12 2 3120 0321 0321 0132 1 1 1 1 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 1 0 -1 5 0 -5 0 1 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058619846522 0.989685145832 3 12 8 4 0132 1302 2103 1230 1 1 1 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 5 0 -5 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 0.328145097358 0.409864131831 5 12 7 8 0132 1023 1023 2031 1 1 0 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 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047529275678 1.085498100753 11 6 9 10 1023 0132 0321 2031 1 1 0 1 0 0 0 0 0 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 5 -5 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656266139591 0.353905230589 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : 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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], '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_12' : d['1'], 's_2_10' : 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' : 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_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_1010_8'], 'c_1100_6' : d['c_1010_8'], 'c_1100_1' : d['c_1010_8'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_8']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_1001_12'], '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'], 'c_1100_12' : negation(d['c_0101_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_5'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(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_0101_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_1001_1, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1671575122411860178717/494653765085844796575*c_1010_8^12 - 2301128572554926672801/54961529453982755175*c_1010_8^11 + 4915800823332514111207/329769176723896531050*c_1010_8^10 + 95831682818133095352851/494653765085844796575*c_1010_8^9 - 2815693811472028004521/65953835344779306210*c_1010_8^8 - 24259013883939821506306/54961529453982755175*c_1010_8^7 + 248879354540639436403/39572301206867583726*c_1010_8^6 + 30166449191634401614343/65953835344779306210*c_1010_8^5 + 155292867937927301358983/989307530171689593150*c_1010_8^4 - 487291381172446155040751/989307530171689593150*c_1010_8^3 + 249013204226393942866/3233031144351926775*c_1010_8^2 + 9965356508948066120231/65953835344779306210*c_1010_8 - 65951885956820921301223/989307530171689593150, c_0011_0 - 1, c_0011_10 + 2675020639663/46376634668846*c_1010_8^12 + 15400313213740/23188317334423*c_1010_8^11 - 44062912697579/46376634668846*c_1010_8^10 - 185671031015017/46376634668846*c_1010_8^9 + 75559496148148/23188317334423*c_1010_8^8 + 495984513427029/46376634668846*c_1010_8^7 - 219216559965577/46376634668846*c_1010_8^6 - 365998323777027/23188317334423*c_1010_8^5 - 46541052476020/23188317334423*c_1010_8^4 + 382736246556888/23188317334423*c_1010_8^3 + 2871843601341/46376634668846*c_1010_8^2 - 120470453118855/23188317334423*c_1010_8 + 21153353416369/46376634668846, c_0011_4 - 96026439147/23188317334423*c_1010_8^12 + 186788420599/23188317334423*c_1010_8^11 + 18506700711731/23188317334423*c_1010_8^10 + 12584957575731/23188317334423*c_1010_8^9 - 79530306353488/23188317334423*c_1010_8^8 - 55243087464392/23188317334423*c_1010_8^7 + 165216894396096/23188317334423*c_1010_8^6 + 145354050824112/23188317334423*c_1010_8^5 - 115553658826982/23188317334423*c_1010_8^4 - 213419597977388/23188317334423*c_1010_8^3 + 79548455536561/23188317334423*c_1010_8^2 + 89351972740877/23188317334423*c_1010_8 - 24402791267175/23188317334423, c_0011_8 + 1962702020689/23188317334423*c_1010_8^12 + 24462895766944/23188317334423*c_1010_8^11 - 7209907868543/23188317334423*c_1010_8^10 - 118148166207817/23188317334423*c_1010_8^9 + 10808346342544/23188317334423*c_1010_8^8 + 275082065662738/23188317334423*c_1010_8^7 + 40946677930404/23188317334423*c_1010_8^6 - 290405631003837/23188317334423*c_1010_8^5 - 167196804643221/23188317334423*c_1010_8^4 + 283311890717376/23188317334423*c_1010_8^3 + 35905826764550/23188317334423*c_1010_8^2 - 76299267373026/23188317334423*c_1010_8 + 16699586927323/23188317334423, c_0011_9 + 300509923370/23188317334423*c_1010_8^12 + 4273950225660/23188317334423*c_1010_8^11 + 5075719457114/23188317334423*c_1010_8^10 - 25817740141184/23188317334423*c_1010_8^9 - 38219602349524/23188317334423*c_1010_8^8 + 63940182257052/23188317334423*c_1010_8^7 + 114176673902484/23188317334423*c_1010_8^6 - 65522991046059/23188317334423*c_1010_8^5 - 175336874144190/23188317334423*c_1010_8^4 - 13396355799327/23188317334423*c_1010_8^3 + 129116002790721/23188317334423*c_1010_8^2 + 20596705847794/23188317334423*c_1010_8 - 31927541071824/23188317334423, c_0101_0 + 4400992111633/46376634668846*c_1010_8^12 + 28805689642425/23188317334423*c_1010_8^11 + 20446574430305/46376634668846*c_1010_8^10 - 245123049031801/46376634668846*c_1010_8^9 - 61133884942995/23188317334423*c_1010_8^8 + 523713769447503/46376634668846*c_1010_8^7 + 395536086138799/46376634668846*c_1010_8^6 - 202585191648841/23188317334423*c_1010_8^5 - 292866001659692/23188317334423*c_1010_8^4 + 159789488319018/23188317334423*c_1010_8^3 + 236369062351779/46376634668846*c_1010_8^2 - 35362748809645/23188317334423*c_1010_8 - 39423188017291/46376634668846, c_0101_1 - 1, c_0101_12 - 1168592785730/23188317334423*c_1010_8^12 - 16016090359811/23188317334423*c_1010_8^11 - 15179212450149/23188317334423*c_1010_8^10 + 57176706839765/23188317334423*c_1010_8^9 + 69808495862894/23188317334423*c_1010_8^8 - 101105445635764/23188317334423*c_1010_8^7 - 171549562015700/23188317334423*c_1010_8^6 + 10183084306394/23188317334423*c_1010_8^5 + 166584305223456/23188317334423*c_1010_8^4 + 18979458870505/23188317334423*c_1010_8^3 - 37235949307275/23188317334423*c_1010_8^2 - 9365260564687/23188317334423*c_1010_8 - 6653175132128/23188317334423, c_0101_2 - 330525433042/23188317334423*c_1010_8^12 - 4941313052405/23188317334423*c_1010_8^11 - 10090091703315/23188317334423*c_1010_8^10 + 8727304398804/23188317334423*c_1010_8^9 + 39314346868308/23188317334423*c_1010_8^8 + 9398824887294/23188317334423*c_1010_8^7 - 77826262552688/23188317334423*c_1010_8^6 - 87814295633097/23188317334423*c_1010_8^5 + 31978230713843/23188317334423*c_1010_8^4 + 93933853770500/23188317334423*c_1010_8^3 + 21419661458209/23188317334423*c_1010_8^2 - 18429747880743/23188317334423*c_1010_8 - 13729962780305/23188317334423, c_0101_5 + 5012206211123/46376634668846*c_1010_8^12 + 31416403573551/23188317334423*c_1010_8^11 - 13704487797281/46376634668846*c_1010_8^10 - 300024444694547/46376634668846*c_1010_8^9 + 5751000285254/23188317334423*c_1010_8^8 + 698195404698557/46376634668846*c_1010_8^7 + 123882564065823/46376634668846*c_1010_8^6 - 376181408083421/23188317334423*c_1010_8^5 - 213125357699476/23188317334423*c_1010_8^4 + 363756787686383/23188317334423*c_1010_8^3 + 77343742215891/46376634668846*c_1010_8^2 - 134293509888591/23188317334423*c_1010_8 + 34459703680625/46376634668846, c_1001_1 - 693399089006/23188317334423*c_1010_8^12 - 11103427668196/23188317334423*c_1010_8^11 - 29101024387512/23188317334423*c_1010_8^10 + 37828572322491/23188317334423*c_1010_8^9 + 136992028535241/23188317334423*c_1010_8^8 - 61609441906526/23188317334423*c_1010_8^7 - 327529709248220/23188317334423*c_1010_8^6 - 45536306987251/23188317334423*c_1010_8^5 + 344662261899932/23188317334423*c_1010_8^4 + 163859935083284/23188317334423*c_1010_8^3 - 270517570269340/23188317334423*c_1010_8^2 - 58147223301078/23188317334423*c_1010_8 + 77065727330638/23188317334423, c_1001_12 + 305607049745/23188317334423*c_1010_8^12 + 2610713931126/23188317334423*c_1010_8^11 - 17075531113793/23188317334423*c_1010_8^10 - 27450697831373/23188317334423*c_1010_8^9 + 66884885228249/23188317334423*c_1010_8^8 + 87240817625527/23188317334423*c_1010_8^7 - 135826761036488/23188317334423*c_1010_8^6 - 173596216434580/23188317334423*c_1010_8^5 + 79740643960216/23188317334423*c_1010_8^4 + 203967299367365/23188317334423*c_1010_8^3 - 79512660067944/23188317334423*c_1010_8^2 - 98930761078946/23188317334423*c_1010_8 + 13753128514535/23188317334423, c_1010_8^13 + 13*c_1010_8^12 + 3*c_1010_8^11 - 62*c_1010_8^10 - 23*c_1010_8^9 + 147*c_1010_8^8 + 82*c_1010_8^7 - 155*c_1010_8^6 - 142*c_1010_8^5 + 132*c_1010_8^4 + 85*c_1010_8^3 - 69*c_1010_8^2 - 13*c_1010_8 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.490 seconds, Total memory usage: 32.09MB