Magma V2.19-8 Tue Aug 20 2013 23:42:37 on localhost [Seed = 4256929949] Type ? for help. Type -D to quit. Loading file "L13n4517__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4517 geometric_solution 10.40037043 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 0 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 -1 1 -2 0 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 0.380606583021 0.732353400957 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 0 0 0 -1 0 0 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 2 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 0.350267201566 0.692139079199 7 0 8 6 2031 0132 0132 2031 1 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 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311032614025 1.307525843359 9 8 5 0 0132 3012 0132 0132 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 0 0 0 0 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 0.673261245201 0.796045209940 9 5 0 10 3201 3201 0132 0132 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 0 0 0 0 0 1 -1 0 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 0.429958755976 0.445549729458 7 1 4 3 0213 0132 2310 0132 1 0 0 1 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 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 0.417912892783 1.150222551816 10 2 1 9 0132 1302 0132 3201 1 0 1 1 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 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 0.497510027714 0.717961788019 5 8 2 1 0213 3120 1302 0132 1 0 0 1 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 1 -1 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 0.956855272149 1.052177490941 3 7 10 2 1230 3120 0213 0132 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 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 0.311032614025 1.307525843359 3 6 10 4 0132 2310 0132 2310 1 0 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 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 1.014362445919 0.872126008665 6 8 4 9 0132 0213 0132 0132 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 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 1.311032614025 1.307525843359 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_2']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0110_2'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0110_2']), 'c_1010_10' : d['c_1001_9'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_10' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1001_9'], 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_1001_9']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : d['c_1001_9'], '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' : negation(d['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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : d['c_0101_0'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_3'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7952628290582341692627715/20658196867071199490249728*c_1001_9^11 - 7886425100153778426077471/2582274608383899936281216*c_1001_9^10 - 862072862126129980631465967/20658196867071199490249728*c_1001_9^9 - 10750067143962450002581029/69791205631997295575168*c_1001_9^8 - 1761234153774078820194630833/10329098433535599745124864*c_1001_9^7 + 3499853831431791997069423037/5164549216767799872562432*c_1001_9^6 + 17486818532378087951151063525/20658196867071199490249728*c_1001_9^5 - 8542251940352874225716333403/5164549216767799872562432*c_1001_9^4 - 8905931622871076272155537041/2582274608383899936281216*c_1001_9^3 - 473700367656348075596518241/322784326047987492035152*c_1001_9^2 + 444683552075081506366099021/645568652095974984070304*c_1001_9 + 79374774767279492947745821/161392163023993746017576, c_0011_0 - 1, c_0011_10 - 793880711645146687/167767321230762729748*c_1001_9^11 - 44282764362762862895/1342138569846101837984*c_1001_9^10 - 161675828359415268605/335534642461525459496*c_1001_9^9 - 1925972319378922203155/1342138569846101837984*c_1001_9^8 - 262132796140548330067/335534642461525459496*c_1001_9^7 + 5937629006877235029175/671069284923050918992*c_1001_9^6 + 538235963288794350821/335534642461525459496*c_1001_9^5 - 28239977007645211246183/1342138569846101837984*c_1001_9^4 - 894481461993070403660/41941830307690682437*c_1001_9^3 + 24327459208222972549/41941830307690682437*c_1001_9^2 + 170916926757868329943/41941830307690682437*c_1001_9 - 53944113298744650012/41941830307690682437, c_0011_3 - 35848616149243667965/2684277139692203675968*c_1001_9^11 - 128818618107262347335/1342138569846101837984*c_1001_9^10 - 3699871807648522139865/2684277139692203675968*c_1001_9^9 - 5815717922480925063611/1342138569846101837984*c_1001_9^8 - 3937089323447153208931/1342138569846101837984*c_1001_9^7 + 8301070066053274926533/335534642461525459496*c_1001_9^6 + 25991012651167018340627/2684277139692203675968*c_1001_9^5 - 81777843915464991127317/1342138569846101837984*c_1001_9^4 - 23079425343541807372717/335534642461525459496*c_1001_9^3 - 1264910610657375592545/167767321230762729748*c_1001_9^2 + 376204283930873847904/41941830307690682437*c_1001_9 - 150089142583230556091/41941830307690682437, c_0011_4 - 18735256203465330785/2684277139692203675968*c_1001_9^11 - 33680559037546945331/671069284923050918992*c_1001_9^10 - 1933243325325553015941/2684277139692203675968*c_1001_9^9 - 1520355001084535284403/671069284923050918992*c_1001_9^8 - 2025964890790587551883/1342138569846101837984*c_1001_9^7 + 8713252818396873539257/671069284923050918992*c_1001_9^6 + 13668835343485453221543/2684277139692203675968*c_1001_9^5 - 10869204165708266526861/335534642461525459496*c_1001_9^4 - 11850663389520108601649/335534642461525459496*c_1001_9^3 - 292772995460662336719/83883660615381364874*c_1001_9^2 + 206261734749102369830/41941830307690682437*c_1001_9 - 79894667598875044313/41941830307690682437, c_0011_7 - 6360365124451257895/1342138569846101837984*c_1001_9^11 - 44785413375732062517/1342138569846101837984*c_1001_9^10 - 650281127420314575675/1342138569846101837984*c_1001_9^9 - 1971120501005679613241/1342138569846101837984*c_1001_9^8 - 571665512400854517577/671069284923050918992*c_1001_9^7 + 5942885162153304284467/671069284923050918992*c_1001_9^6 + 2962908564753981820989/1342138569846101837984*c_1001_9^5 - 28673970183019423950945/1342138569846101837984*c_1001_9^4 - 7320775530818805038611/335534642461525459496*c_1001_9^3 - 154565797451478093227/167767321230762729748*c_1001_9^2 + 284271151721780782077/83883660615381364874*c_1001_9 - 23656008442191624247/41941830307690682437, c_0011_8 - 2681785467835/170471543285312*c_1001_9^11 - 4820141729525/42617885821328*c_1001_9^10 - 276874233524471/170471543285312*c_1001_9^9 - 217773779512977/42617885821328*c_1001_9^8 - 297613271559793/85235771642656*c_1001_9^7 + 1239724109792863/42617885821328*c_1001_9^6 + 1959846958889885/170471543285312*c_1001_9^5 - 1520955042869101/21308942910664*c_1001_9^4 - 1745338480352369/21308942910664*c_1001_9^3 - 102919979566213/10654471455332*c_1001_9^2 + 55320189338767/5327235727666*c_1001_9 - 11148226057715/2663617863833, c_0101_0 - 8305964155723705245/671069284923050918992*c_1001_9^11 - 14661721781343444677/167767321230762729748*c_1001_9^10 - 850288517262618970887/671069284923050918992*c_1001_9^9 - 161898405189721450656/41941830307690682437*c_1001_9^8 - 384747698846468313353/167767321230762729748*c_1001_9^7 + 1937015783534520231757/83883660615381364874*c_1001_9^6 + 4133761380894436832175/671069284923050918992*c_1001_9^5 - 2348496811789029806931/41941830307690682437*c_1001_9^4 - 19429281220946173374527/335534642461525459496*c_1001_9^3 - 440406130835779836017/167767321230762729748*c_1001_9^2 + 760062288646394550017/83883660615381364874*c_1001_9 - 133354534220835614675/41941830307690682437, c_0101_1 - 1, c_0101_10 + 14192648739301599931/1342138569846101837984*c_1001_9^11 + 101324715534484693283/1342138569846101837984*c_1001_9^10 + 1458590797743351420431/1342138569846101837984*c_1001_9^9 + 4526440612402594695663/1342138569846101837984*c_1001_9^8 + 1382112470235813280861/671069284923050918992*c_1001_9^7 - 13395142944127545540633/671069284923050918992*c_1001_9^6 - 9124681693603899116785/1342138569846101837984*c_1001_9^5 + 67758065092805009037423/1342138569846101837984*c_1001_9^4 + 17354724426521848213193/335534642461525459496*c_1001_9^3 - 41478410665001389605/167767321230762729748*c_1001_9^2 - 832233213952809099717/83883660615381364874*c_1001_9 + 143225539393721553857/41941830307690682437, c_0110_2 + 4278339986444584295/671069284923050918992*c_1001_9^11 + 61457500032168456673/1342138569846101837984*c_1001_9^10 + 441657120580742280981/671069284923050918992*c_1001_9^9 + 2775007920311854494805/1342138569846101837984*c_1001_9^8 + 238890554082070707131/167767321230762729748*c_1001_9^7 - 7888887313709676313809/671069284923050918992*c_1001_9^6 - 3080544326920391279771/671069284923050918992*c_1001_9^5 + 38301027252631925019873/1342138569846101837984*c_1001_9^4 + 2807190488505424692767/83883660615381364874*c_1001_9^3 + 679364619736050919107/167767321230762729748*c_1001_9^2 - 169942549181771478074/41941830307690682437*c_1001_9 + 70194474984355511778/41941830307690682437, c_1001_9^12 + 8*c_1001_9^11 + 109*c_1001_9^10 + 408*c_1001_9^9 + 478*c_1001_9^8 - 1692*c_1001_9^7 - 2247*c_1001_9^6 + 4068*c_1001_9^5 + 8928*c_1001_9^4 + 4544*c_1001_9^3 - 544*c_1001_9^2 - 384*c_1001_9 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB