Magma V2.19-8 Tue Aug 20 2013 23:59:41 on localhost [Seed = 4206662588] Type ? for help. Type -D to quit. Loading file "L14n4666__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4666 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 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 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 0.530932461197 0.536717428631 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 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 -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 0.167587316229 0.663872764614 3 0 2 2 1230 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454799280529 0.865118072139 8 2 5 0 0132 3012 2103 0132 1 0 1 1 0 0 0 0 -1 0 -1 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 -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 0.228595426644 0.617921120848 9 8 0 10 0132 2103 0132 0132 1 0 1 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 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 0 0 0.529161079749 0.552004555911 3 1 6 11 2103 0132 0132 0132 0 0 1 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 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 -0.552773153294 0.524322111638 8 8 1 5 2103 1302 0132 0132 0 0 1 1 0 1 -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 0 0 0 0 0 0 0 0 0 0 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904564939226 1.806537645212 9 10 11 1 3120 1023 0132 0132 0 0 1 1 0 -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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547509365930 0.472024306157 3 4 6 6 0132 2103 2103 2031 1 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 0 0 0 1 5 -6 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 0.904564939226 1.806537645212 4 10 11 7 0132 2103 3012 3120 1 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 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 0.547509365930 0.472024306157 7 9 4 11 1023 2103 0132 3120 1 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 0 0 0 0 1 -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 0.058322159497 1.104009111822 10 9 5 7 3120 1230 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952282469613 0.903268822606 ==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' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 's_1_7' : 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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], '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_0101_10'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 44524053345788673421/266872520526099066729832*c_1100_1^6 - 1714749204489008525345/133436260263049533364916*c_1100_1^5 - 7013855510191628128271/266872520526099066729832*c_1100_1^4 - 68170376400960064286463/133436260263049533364916*c_1100_1^3 - 42583870599200021181511/24261138229645369702712*c_1100_1^2 + 212032848355996962071797/266872520526099066729832*c_1100_1 - 329114538713848071364183/33359065065762383341229, c_0011_0 - 1, c_0011_10 - 9820652711318393/331248579624443268968*c_1100_1^6 + 100463302940669244/41406072453055408621*c_1100_1^5 - 2297812608115379131/331248579624443268968*c_1100_1^4 + 39105368873670746141/331248579624443268968*c_1100_1^3 - 34593470206042324745/165624289812221634484*c_1100_1^2 + 230558239622313891939/331248579624443268968*c_1100_1 - 20537415606675516977/331248579624443268968, c_0011_3 - 2126444682810170/41406072453055408621*c_1100_1^6 + 175670656498148917/41406072453055408621*c_1100_1^5 - 626598390724849686/41406072453055408621*c_1100_1^4 + 8404304164891273484/41406072453055408621*c_1100_1^3 - 21248658791060077407/41406072453055408621*c_1100_1^2 + 38601702038253428509/41406072453055408621*c_1100_1 - 13971291456674884351/41406072453055408621, c_0011_4 - 12998714070452125/165624289812221634484*c_1100_1^6 + 257760934429246170/41406072453055408621*c_1100_1^5 - 364023607878809287/165624289812221634484*c_1100_1^4 + 44564239790657068509/165624289812221634484*c_1100_1^3 + 9857881380708256163/82812144906110817242*c_1100_1^2 + 72806053106335806487/165624289812221634484*c_1100_1 + 99069882437593434439/165624289812221634484, c_0101_0 - 1, c_0101_1 - 278441712545/128192174777261327*c_1100_1^6 + 11222035802775/128192174777261327*c_1100_1^5 + 885657338701946/128192174777261327*c_1100_1^4 - 1773782411291731/128192174777261327*c_1100_1^3 + 31371339024332831/128192174777261327*c_1100_1^2 - 144935933794267558/128192174777261327*c_1100_1 + 14334927712171627/128192174777261327, c_0101_10 - 12242992377327/128192174777261327*c_1100_1^6 + 964895788157130/128192174777261327*c_1100_1^5 + 168702900483153/128192174777261327*c_1100_1^4 + 40360301847787461/128192174777261327*c_1100_1^3 + 32732263316153268/128192174777261327*c_1100_1^2 - 23271213304582279/128192174777261327*c_1100_1 + 69081178383883833/128192174777261327, c_0101_11 + 834742863521/4420419819905563*c_1100_1^6 - 66157570362465/4420419819905563*c_1100_1^5 + 18905225439160/4420419819905563*c_1100_1^4 - 2844634003685057/4420419819905563*c_1100_1^3 - 1175627158895645/4420419819905563*c_1100_1^2 - 3392879558107000/4420419819905563*c_1100_1 - 4269911346744691/4420419819905563, c_0101_2 - 3392448777068197/41406072453055408621*c_1100_1^6 + 279738585407565741/41406072453055408621*c_1100_1^5 - 948323994725546654/41406072453055408621*c_1100_1^4 + 12600750756961129133/41406072453055408621*c_1100_1^3 - 32618567970257281382/41406072453055408621*c_1100_1^2 + 33346492613260722462/41406072453055408621*c_1100_1 - 39309719407234324114/41406072453055408621, c_0101_3 - 10345928462969/128192174777261327*c_1100_1^6 + 840204541979648/128192174777261327*c_1100_1^5 - 1840649631776335/128192174777261327*c_1100_1^4 + 35845131386788501/128192174777261327*c_1100_1^3 - 49980171981537799/128192174777261327*c_1100_1^2 + 43122636055798230/128192174777261327*c_1100_1 - 42174203570490107/128192174777261327, c_0101_7 + 12242992377327/128192174777261327*c_1100_1^6 - 964895788157130/128192174777261327*c_1100_1^5 - 168702900483153/128192174777261327*c_1100_1^4 - 40360301847787461/128192174777261327*c_1100_1^3 - 32732263316153268/128192174777261327*c_1100_1^2 + 23271213304582279/128192174777261327*c_1100_1 - 69081178383883833/128192174777261327, c_1100_1^7 - 80*c_1100_1^6 + 83*c_1100_1^5 - 3525*c_1100_1^4 + 882*c_1100_1^3 - 7563*c_1100_1^2 - 4599*c_1100_1 - 5168 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB