Magma V2.19-8 Wed Aug 21 2013 00:51:09 on localhost [Seed = 2160498049] Type ? for help. Type -D to quit. Loading file "L11a147__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a147 geometric_solution 12.61744020 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 1 0 2 2310 0132 3201 0132 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 1 -3 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486926412889 0.949180791974 3 0 5 4 0132 0132 0132 0132 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642941513677 0.486390947315 4 6 0 7 1023 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693061212133 1.036414187025 1 7 8 7 0132 2310 0132 2031 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 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 0.312268849444 0.881296193388 9 2 1 9 0132 1023 0132 1302 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 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834777383419 0.757728761047 6 6 10 1 2031 0321 0132 0132 0 0 0 1 0 0 -1 1 -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 0 2 -2 3 0 -3 0 0 0 0 0 -8 9 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858353101139 0.762427920003 11 2 5 5 0132 0132 1302 0321 0 1 0 0 0 -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 3 -3 0 1 0 8 -9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858353101139 0.762427920003 12 3 2 3 0132 1302 0132 3201 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 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 0.312268849444 0.881296193388 9 11 11 3 3120 1302 1023 0132 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256418664696 0.718841395613 4 10 4 8 0132 1230 2031 3120 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 0 3 -2 -1 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603388055046 0.635393127087 12 12 9 5 2031 0132 3012 0132 0 0 1 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 0 2 -2 0 0 -3 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856244904022 0.870056936218 6 12 8 8 0132 1302 1023 2031 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 -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 0.559783801785 1.234097473644 7 10 10 11 0132 0132 1302 2031 0 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 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 0.184854879598 1.118807434916 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_5'], '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' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : negation(d['c_0011_8']), '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' : negation(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' : negation(d['c_0101_7']), 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_3']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_1001_3'], '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' : negation(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_0011_8']), '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' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), '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'], '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' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0101_9, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 164184888508005122265775718826819765834595/118431274903277138378969\ 86178520637*c_1001_1^17 - 22802563214540863143721085004222647237169\ 09/11843127490327713837896986178520637*c_1001_1^16 - 14997441490398863165164817957825586456753139/1184312749032771383789\ 6986178520637*c_1001_1^15 - 623969645296116060630254090598886427234\ 47633/11843127490327713837896986178520637*c_1001_1^14 - 184675252886753220249000800940888167924871423/118431274903277138378\ 96986178520637*c_1001_1^13 - 41379120043358906786151813799671906275\ 1344671/11843127490327713837896986178520637*c_1001_1^12 - 728389784935922216490796052671216520933941100/118431274903277138378\ 96986178520637*c_1001_1^11 - 10307324521895144759414774650900680533\ 24719518/11843127490327713837896986178520637*c_1001_1^10 - 1188898888545046138085960644119002080324328280/11843127490327713837\ 896986178520637*c_1001_1^9 - 11256507278122865513911397804252462377\ 70801167/11843127490327713837896986178520637*c_1001_1^8 - 875785356378344250267000100085412419637114955/118431274903277138378\ 96986178520637*c_1001_1^7 - 557259980493860842891981915200697512823\ 947568/11843127490327713837896986178520637*c_1001_1^6 - 286705257494500013568390217526472278715458712/118431274903277138378\ 96986178520637*c_1001_1^5 - 116888481009134010537502096361396929671\ 566238/11843127490327713837896986178520637*c_1001_1^4 - 36543224168527740392212701911285967447002262/1184312749032771383789\ 6986178520637*c_1001_1^3 - 8285515903321618227771866569211239452672\ 190/11843127490327713837896986178520637*c_1001_1^2 - 94335196210366502902349296080167124353960/9110098069482856798382297\ 06040049*c_1001_1 - 7043074220455445227422648005442366449113/911009\ 806948285679838229706040049, c_0011_0 - 1, c_0011_10 - 3170084076345831828566/133423456323343095039*c_1001_1^17 - 48522015493670756855995/133423456323343095039*c_1001_1^16 - 350782715786551891149629/133423456323343095039*c_1001_1^15 - 532580250416838127565032/44474485441114365013*c_1001_1^14 - 5153438086241330051991731/133423456323343095039*c_1001_1^13 - 12525881393907933792975638/133423456323343095039*c_1001_1^12 - 7936192210728031628119773/44474485441114365013*c_1001_1^11 - 12070887584081051289023814/44474485441114365013*c_1001_1^10 - 44687594548044054735055741/133423456323343095039*c_1001_1^9 - 15016270450526158526867511/44474485441114365013*c_1001_1^8 - 12374378119525007212710457/44474485441114365013*c_1001_1^7 - 8288718012867452241835399/44474485441114365013*c_1001_1^6 - 1027778316508590692162041/10263342794103315003*c_1001_1^5 - 5625698131324028795233375/133423456323343095039*c_1001_1^4 - 1784628013129473399586789/133423456323343095039*c_1001_1^3 - 398892706709465948227436/133423456323343095039*c_1001_1^2 - 18429106811956282077498/44474485441114365013*c_1001_1 - 263626367876513656418/10263342794103315003, c_0011_11 - 30381978569164530943728065/113673363673223615868227*c_1001_\ 1^17 - 427641920568693974102719075/113673363673223615868227*c_1001_\ 1^16 - 2851098568801555477595475517/113673363673223615868227*c_1001\ _1^15 - 12024245465394407615523158799/113673363673223615868227*c_10\ 01_1^14 - 36072488807484966445542004872/113673363673223615868227*c_\ 1001_1^13 - 81922668239514999759997732942/113673363673223615868227*\ c_1001_1^12 - 146165419387816270487749861957/1136733636732236158682\ 27*c_1001_1^11 - 209658807799764137611829670947/1136733636732236158\ 68227*c_1001_1^10 - 245166604496385139750714040332/1136733636732236\ 15868227*c_1001_1^9 - 235382493189582590282917209252/11367336367322\ 3615868227*c_1001_1^8 - 185770727448765034226271855645/113673363673\ 223615868227*c_1001_1^7 - 119965305437528993846226434940/1136733636\ 73223615868227*c_1001_1^6 - 62677447263804272397463663884/113673363\ 673223615868227*c_1001_1^5 - 25967917923310691282420938984/11367336\ 3673223615868227*c_1001_1^4 - 8255834638562432744890522540/11367336\ 3673223615868227*c_1001_1^3 - 1905253308062841924833491803/11367336\ 3673223615868227*c_1001_1^2 - 287143676330184349540511057/113673363\ 673223615868227*c_1001_1 - 21866164271302739260425433/1136733636732\ 23615868227, c_0011_5 + 4788872961057887766371/133423456323343095039*c_1001_1^17 + 69028173599607348864493/133423456323343095039*c_1001_1^16 + 470915088822873725801819/133423456323343095039*c_1001_1^15 + 676543859907567121396117/44474485441114365013*c_1001_1^14 + 6213237574788481073621768/133423456323343095039*c_1001_1^13 + 14376954420401049473438972/133423456323343095039*c_1001_1^12 + 8698811148119677255073713/44474485441114365013*c_1001_1^11 + 12676102033256639070945752/44474485441114365013*c_1001_1^10 + 45118021546410425793542650/133423456323343095039*c_1001_1^9 + 14633813079338482500581079/44474485441114365013*c_1001_1^8 + 11695633508953829585178349/44474485441114365013*c_1001_1^7 + 7645307848602684301236493/44474485441114365013*c_1001_1^6 + 933266503102165938356671/10263342794103315003*c_1001_1^5 + 5094462807294065903805376/133423456323343095039*c_1001_1^4 + 1644729973165810316477266/133423456323343095039*c_1001_1^3 + 386594733061402463602805/133423456323343095039*c_1001_1^2 + 19776750040201658609701/44474485441114365013*c_1001_1 + 351155461694310420611/10263342794103315003, c_0011_8 + 24748526053003356180128989/113673363673223615868227*c_1001_1\ ^17 + 346607132906935487577563935/113673363673223615868227*c_1001_1\ ^16 + 2300028930539077451385011878/113673363673223615868227*c_1001_\ 1^15 + 9659760518286519141819591344/113673363673223615868227*c_1001\ _1^14 + 28877265609482200534902453522/113673363673223615868227*c_10\ 01_1^13 + 65401652207930856631737131699/113673363673223615868227*c_\ 1001_1^12 + 116471780883540920378225555495/113673363673223615868227\ *c_1001_1^11 + 166929584536612911816044865634/113673363673223615868\ 227*c_1001_1^10 + 195282403211516806128895483503/113673363673223615\ 868227*c_1001_1^9 + 187849747559461977247886869587/1136733636732236\ 15868227*c_1001_1^8 + 148820894649322716667396360797/11367336367322\ 3615868227*c_1001_1^7 + 96703187665573256056431115690/1136733636732\ 23615868227*c_1001_1^6 + 51000996366041149513375545725/113673363673\ 223615868227*c_1001_1^5 + 21421507228569900531607836335/11367336367\ 3223615868227*c_1001_1^4 + 6945101869585542591822968469/11367336367\ 3223615868227*c_1001_1^3 + 1647601047143810660131667327/11367336367\ 3223615868227*c_1001_1^2 + 258158082671555508493451281/113673363673\ 223615868227*c_1001_1 + 20818929918776899213864361/1136733636732236\ 15868227, c_0101_0 + 654732684698537840137/3421114264701105001*c_1001_1^17 + 9172062490186435275278/3421114264701105001*c_1001_1^16 + 60827868962174846507485/3421114264701105001*c_1001_1^15 + 255037435443223415139299/3421114264701105001*c_1001_1^14 + 760146145707351767516499/3421114264701105001*c_1001_1^13 + 1713822909667748591896349/3421114264701105001*c_1001_1^12 + 3032796950437990456101139/3421114264701105001*c_1001_1^11 + 4309799363919294888023449/3421114264701105001*c_1001_1^10 + 4985949436594842565194602/3421114264701105001*c_1001_1^9 + 4727786235095868843893045/3421114264701105001*c_1001_1^8 + 3677265699378882198465003/3421114264701105001*c_1001_1^7 + 2333920375901588298426338/3421114264701105001*c_1001_1^6 + 1194316065852273487857250/3421114264701105001*c_1001_1^5 + 482506019664576625110994/3421114264701105001*c_1001_1^4 + 148765997939904168387421/3421114264701105001*c_1001_1^3 + 33079858699913428330616/3421114264701105001*c_1001_1^2 + 4770697465473449073452/3421114264701105001*c_1001_1 + 347316141318553357460/3421114264701105001, c_0101_1 + 9384171816172892452099463/113673363673223615868227*c_1001_1^\ 17 + 132492180074302521110688192/113673363673223615868227*c_1001_1^\ 16 + 886004180892325432457603029/113673363673223615868227*c_1001_1^\ 15 + 3747858060155762515232003487/113673363673223615868227*c_1001_1\ ^14 + 11277705070897636030759682953/113673363673223615868227*c_1001\ _1^13 + 25694028529207626130583390063/113673363673223615868227*c_10\ 01_1^12 + 46002163137368763473209865744/113673363673223615868227*c_\ 1001_1^11 + 66243521369258552891096993145/113673363673223615868227*\ c_1001_1^10 + 77814812965471339314530689190/11367336367322361586822\ 7*c_1001_1^9 + 75113611774091084472168919892/1136733636732236158682\ 27*c_1001_1^8 + 59670231492237596368872213173/113673363673223615868\ 227*c_1001_1^7 + 38842661054280601275816401672/11367336367322361586\ 8227*c_1001_1^6 + 20494762780348169538190176056/1136733636732236158\ 68227*c_1001_1^5 + 8594600533473200902052342796/1136733636732236158\ 68227*c_1001_1^4 + 2772399530667025123526568824/1136733636732236158\ 68227*c_1001_1^3 + 650321332696823383625771628/11367336367322361586\ 8227*c_1001_1^2 + 99355683501510969616326889/1136733636732236158682\ 27*c_1001_1 + 7627400505181932545008559/113673363673223615868227, c_0101_3 - 33154143310138149005820953/113673363673223615868227*c_1001_1\ ^17 - 465214867940867906062574983/113673363673223615868227*c_1001_1\ ^16 - 3092216928884040663084803820/113673363673223615868227*c_1001_\ 1^15 - 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782*c_1001_1^4 + 20057/89*c_1001_1^3 + 4194/89*c_1001_1^2 + 572/89*c_1001_1 + 39/89, c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.600 seconds, Total memory usage: 32.09MB