Magma V2.19-8 Wed Aug 21 2013 00:58:43 on localhost [Seed = 38017395] Type ? for help. Type -D to quit. Loading file "L13n5956__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5956 geometric_solution 12.48647059 oriented_manifold CS_known 0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 1 0 -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 0.624400651616 1.179620928505 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 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 0.527762512400 0.529497563511 6 0 8 7 0132 0132 0132 0132 0 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 -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 0.666036313945 0.578192212422 7 9 10 0 0321 0132 0132 0132 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647016314921 1.045246015777 11 1 0 12 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 0 0 0 -1 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133145198559 0.778563069349 7 8 1 9 1302 0132 0132 1302 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 0 0 0 1.001614499680 0.710723631152 2 11 10 1 0132 0132 3201 0132 0 1 1 1 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 0 0 0 0 0 -1 1 0 0 -1 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 0.705854100581 0.929000046914 3 5 2 12 0321 2031 0132 2310 0 1 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 -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 0.509022829787 0.898937890700 11 5 10 2 3120 0132 0213 0132 0 1 1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566256969262 0.752074306114 11 3 5 12 2031 0132 2031 2031 0 0 1 1 0 0 0 0 0 0 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 -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 0.269787176666 0.655708996351 6 8 12 3 2310 0213 0132 0132 0 1 1 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 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267870602025 0.586824224948 4 6 9 8 0132 0132 1302 3120 0 1 1 1 0 0 0 0 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 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 0.628374892942 1.060866392264 7 9 4 10 3201 1302 0132 0132 0 1 0 1 0 1 -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 -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 0.320028942556 1.152594976521 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_12'], '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' : d['c_0011_3'], 'c_0101_10' : negation(d['c_0011_5']), 's_2_0' : 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' : 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' : 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_1001_10']), 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_5']), 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_3, c_0011_5, c_0011_7, c_0101_1, c_0101_3, c_0110_5, c_0110_9, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 24705136527516182237910807647/23893903131251538174065607708*c_1100_\ 0^13 + 301237956418928082674091177149/23893903131251538174065607708\ *c_1100_0^12 - 54036715656645621186958298339/1405523713603031657297\ 976924*c_1100_0^11 - 3123931833125564567071150796017/23893903131251\ 538174065607708*c_1100_0^10 + 898608516207809477936454328199/132743\ 9062847307676336978206*c_1100_0^9 + 364499820015835792690525321739/1405523713603031657297976924*c_1100_\ 0^8 - 84352421809498081476322294162637/2389390313125153817406560770\ 8*c_1100_0^7 + 8704439400324032032244821905487/79646343770838460580\ 21869236*c_1100_0^6 + 169227655236962838576029492288443/23893903131\ 251538174065607708*c_1100_0^5 - 24224497275539982282866798200619/59\ 73475782812884543516401927*c_1100_0^4 - 129315433634986049686705629971027/23893903131251538174065607708*c_1\ 100_0^3 + 1918958449201801183718679353261/4594981371394526571935693\ 79*c_1100_0^2 + 22722052181627792813044605590963/238939031312515381\ 74065607708*c_1100_0 - 15785877174363259094626934719571/11946951565\ 625769087032803854, c_0011_0 - 1, c_0011_10 + 150345323987786951/4983718085135955618*c_1100_0^13 - 1810028609388929369/4983718085135955618*c_1100_0^12 + 5504305801576742179/4983718085135955618*c_1100_0^11 + 17546632481811229309/4983718085135955618*c_1100_0^10 - 14782519028021604602/830619680855992603*c_1100_0^9 - 29572014468440794327/4983718085135955618*c_1100_0^8 + 399190527949688682647/4983718085135955618*c_1100_0^7 - 43297497228807659895/1661239361711985206*c_1100_0^6 - 587286841303729183813/4983718085135955618*c_1100_0^5 + 164904987348850382929/2491859042567977809*c_1100_0^4 + 274463439524951056463/4983718085135955618*c_1100_0^3 - 103852261872613190791/2491859042567977809*c_1100_0^2 - 37324176484239023171/4983718085135955618*c_1100_0 + 18315555980759709353/2491859042567977809, c_0011_12 - 727979558123129555/14951154255407866854*c_1100_0^13 + 4368203871904704286/7475577127703933427*c_1100_0^12 - 13350762107046136922/7475577127703933427*c_1100_0^11 - 40977913151448784538/7475577127703933427*c_1100_0^10 + 139258175213701475497/4983718085135955618*c_1100_0^9 + 108453057135623518465/14951154255407866854*c_1100_0^8 - 897004585908165035533/7475577127703933427*c_1100_0^7 + 124465391017348420052/2491859042567977809*c_1100_0^6 + 1175171343944191786040/7475577127703933427*c_1100_0^5 - 1603604840093303292575/14951154255407866854*c_1100_0^4 - 795337122617472411563/14951154255407866854*c_1100_0^3 + 839182326849172208753/14951154255407866854*c_1100_0^2 + 80739787349429227619/14951154255407866854*c_1100_0 - 138080512494321392191/14951154255407866854, c_0011_3 + 680774652566676725/14951154255407866854*c_1100_0^13 - 7507668741747940985/14951154255407866854*c_1100_0^12 + 18043156164956867557/14951154255407866854*c_1100_0^11 + 91533584324394520087/14951154255407866854*c_1100_0^10 - 51042892322532141593/2491859042567977809*c_1100_0^9 - 325740715704515512861/14951154255407866854*c_1100_0^8 + 1404238899066129715205/14951154255407866854*c_1100_0^7 + 37325057850024195707/4983718085135955618*c_1100_0^6 - 2278204697554159965757/14951154255407866854*c_1100_0^5 + 364497322536231730939/7475577127703933427*c_1100_0^4 + 1331830724895535560731/14951154255407866854*c_1100_0^3 - 398643992845248179881/7475577127703933427*c_1100_0^2 - 218150349791491654283/14951154255407866854*c_1100_0 + 96716643691839494072/7475577127703933427, c_0011_5 - 901309639244062621/14951154255407866854*c_1100_0^13 + 11027886728121313663/14951154255407866854*c_1100_0^12 - 35329219512693178871/14951154255407866854*c_1100_0^11 - 96371376174180084335/14951154255407866854*c_1100_0^10 + 90930447586157174284/2491859042567977809*c_1100_0^9 + 50493293313506991263/14951154255407866854*c_1100_0^8 - 2326270245263946810277/14951154255407866854*c_1100_0^7 + 426542378076158880341/4983718085135955618*c_1100_0^6 + 2969890967957890685987/14951154255407866854*c_1100_0^5 - 1236437987075112705902/7475577127703933427*c_1100_0^4 - 858984470566755300397/14951154255407866854*c_1100_0^3 + 617833045248558990875/7475577127703933427*c_1100_0^2 + 11168032542957124243/14951154255407866854*c_1100_0 - 104256910665830499727/7475577127703933427, c_0011_7 + 341625781828285778/7475577127703933427*c_1100_0^13 - 8484169685482745401/14951154255407866854*c_1100_0^12 + 27235939856916676493/14951154255407866854*c_1100_0^11 + 78959877766239074387/14951154255407866854*c_1100_0^10 - 148857525028575759473/4983718085135955618*c_1100_0^9 - 55158382457428277575/7475577127703933427*c_1100_0^8 + 2085671220694274517613/14951154255407866854*c_1100_0^7 - 225755411795559225923/4983718085135955618*c_1100_0^6 - 3265591814222035166939/14951154255407866854*c_1100_0^5 + 1731854702554167250951/14951154255407866854*c_1100_0^4 + 856688630996783404913/7475577127703933427*c_1100_0^3 - 1274666920069774410673/14951154255407866854*c_1100_0^2 - 136993474569171741290/7475577127703933427*c_1100_0 + 271546417319475579551/14951154255407866854, c_0101_1 - 423247937699178853/14951154255407866854*c_1100_0^13 + 2376617078112955955/7475577127703933427*c_1100_0^12 - 6275057778627995569/7475577127703933427*c_1100_0^11 - 25317144638165638306/7475577127703933427*c_1100_0^10 + 64594344416377479749/4983718085135955618*c_1100_0^9 + 113213347215126190199/14951154255407866854*c_1100_0^8 - 394959258776717708243/7475577127703933427*c_1100_0^7 + 47897973912570481246/2491859042567977809*c_1100_0^6 + 489306205482282226795/7475577127703933427*c_1100_0^5 - 767587365334077870493/14951154255407866854*c_1100_0^4 - 274855754514425834803/14951154255407866854*c_1100_0^3 + 397226766703546792549/14951154255407866854*c_1100_0^2 + 2208117140444978209/14951154255407866854*c_1100_0 - 68465491017621902609/14951154255407866854, c_0101_3 + 15442293614203775/1661239361711985206*c_1100_0^13 - 85420699975759922/830619680855992603*c_1100_0^12 + 251830397757181329/830619680855992603*c_1100_0^11 + 577706761634957260/830619680855992603*c_1100_0^10 - 5244902074587832773/1661239361711985206*c_1100_0^9 + 4753276965789311479/1661239361711985206*c_1100_0^8 + 2081915121984980031/830619680855992603*c_1100_0^7 - 22205854240223117996/830619680855992603*c_1100_0^6 + 26800552440544978922/830619680855992603*c_1100_0^5 + 44133906155899134143/1661239361711985206*c_1100_0^4 - 89468180948840455577/1661239361711985206*c_1100_0^3 + 21855951050010811905/1661239361711985206*c_1100_0^2 + 24185227804347622987/1661239361711985206*c_1100_0 - 10405385578677669659/1661239361711985206, c_0110_5 + 1, c_0110_9 + 169942606931295400/2491859042567977809*c_1100_0^13 - 2086776188275767622/2491859042567977809*c_1100_0^12 + 6759096446255335904/2491859042567977809*c_1100_0^11 + 17840201662073918849/2491859042567977809*c_1100_0^10 - 34597443192139602776/830619680855992603*c_1100_0^9 - 3890282445326919719/2491859042567977809*c_1100_0^8 + 441238298746904878048/2491859042567977809*c_1100_0^7 - 89339698246714318423/830619680855992603*c_1100_0^6 - 563680658734521433340/2491859042567977809*c_1100_0^5 + 504710177980093963408/2491859042567977809*c_1100_0^4 + 166178947150150644514/2491859042567977809*c_1100_0^3 - 249511154527100322469/2491859042567977809*c_1100_0^2 - 4441137263080442014/2491859042567977809*c_1100_0 + 41143964870989083593/2491859042567977809, c_1001_10 - 799051004014437551/7475577127703933427*c_1100_0^13 + 19491072045984596821/14951154255407866854*c_1100_0^12 - 61577367264324417827/14951154255407866854*c_1100_0^11 - 176019708836654020265/14951154255407866854*c_1100_0^10 + 320990575966149587585/4983718085135955618*c_1100_0^9 + 86742043423122397861/7475577127703933427*c_1100_0^8 - 4160702297229486595387/14951154255407866854*c_1100_0^7 + 620687447819798000129/4983718085135955618*c_1100_0^6 + 5459802140733464983349/14951154255407866854*c_1100_0^5 - 3790834511949458150983/14951154255407866854*c_1100_0^4 - 901469143743100995515/7475577127703933427*c_1100_0^3 + 1971330310572558009019/14951154255407866854*c_1100_0^2 + 78131942267795332289/7475577127703933427*c_1100_0 - 313864728374395906127/14951154255407866854, c_1001_2 - 586355351027627317/4983718085135955618*c_1100_0^13 + 3571464036982347140/2491859042567977809*c_1100_0^12 - 11283317993454746728/2491859042567977809*c_1100_0^11 - 32127705310188223423/2491859042567977809*c_1100_0^10 + 117383147585445701293/1661239361711985206*c_1100_0^9 + 56394552635839723505/4983718085135955618*c_1100_0^8 - 760183155043349974328/2491859042567977809*c_1100_0^7 + 122125079487920854448/830619680855992603*c_1100_0^6 + 1003235297645967353527/2491859042567977809*c_1100_0^5 - 1492939255868806796755/4983718085135955618*c_1100_0^4 - 672582748631091782575/4983718085135955618*c_1100_0^3 + 791498170517812549111/4983718085135955618*c_1100_0^2 + 51117250229942639941/4983718085135955618*c_1100_0 - 132843089718164012693/4983718085135955618, c_1100_0^14 - 11*c_1100_0^13 + 24*c_1100_0^12 + 156*c_1100_0^11 - 473*c_1100_0^10 - 818*c_1100_0^9 + 2511*c_1100_0^8 + 1862*c_1100_0^7 - 5030*c_1100_0^6 - 1539*c_1100_0^5 + 4332*c_1100_0^4 - 2*c_1100_0^3 - 1746*c_1100_0^2 + 132*c_1100_0 + 277 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.460 seconds, Total memory usage: 32.09MB