Magma V2.19-8 Tue Aug 20 2013 23:42:04 on localhost [Seed = 3785852075] Type ? for help. Type -D to quit. Loading file "K12n689__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n689 geometric_solution 11.23209466 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.214170374091 0.543353768016 0 5 7 6 0132 0132 0132 0132 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 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558009512710 1.220921132047 8 0 7 6 0132 0132 0321 0321 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 1 -1 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812284637219 0.922202554071 5 9 7 0 2310 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.601322769467 1.579892604192 10 9 0 11 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216961555041 1.103523502010 8 1 3 11 1023 0132 3201 3201 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 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.309657259848 0.677528041420 10 2 1 9 2103 0321 0132 0132 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 1 0 0 -1 0 0 0 0 1 13 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386564680572 0.807744950787 10 3 2 1 3120 3201 0321 0132 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 -1 1 0 0 0 0 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720600574111 0.745616146907 2 5 11 9 0132 1023 3201 2310 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 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634984204653 1.240145368493 8 3 6 4 3201 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533203319434 0.638536743811 4 11 6 7 0132 1302 2103 3120 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 13 0 -13 1 0 -1 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347900601568 0.443891985193 8 5 4 10 2310 2310 0132 2031 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 -1 1 14 0 -1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308362171004 0.611826666532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_2']), 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], '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' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], '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_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], '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' : 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_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), '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' : negation(d['c_0101_2']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_11'])})} 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_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 408101227309222895429563748256/450466396303931255857*c_1001_2^14 + 30067757898526496105501543064/23708757700206908203*c_1001_2^13 + 193493616820342409289022411260/450466396303931255857*c_1001_2^12 + 55201083070035245889658148538/23708757700206908203*c_1001_2^11 + 4156311597689481830582815420768/450466396303931255857*c_1001_2^10 + 13463978741114756755643603088881/900932792607862511714*c_1001_2^9 + 5261302599250867199485098536306/450466396303931255857*c_1001_2^8 + 11568797683739403838183676693811/3603731170431450046856*c_1001_2^7 - 550985959582294467292881949466/450466396303931255857*c_1001_2^6 - 454549136551659578638443294619/3603731170431450046856*c_1001_2^5 + 7306850894725248270321062167/4438092574422968038*c_1001_2^4 + 2815665530218410789979610103163/1801865585215725023428*c_1001_2^3 + 1233278698963932221067326577349/1801865585215725023428*c_1001_2^2 + 9918091367092646746060727411/64352342329133036551*c_1001_2 + 12920993904112033749881850577/900932792607862511714, c_0011_0 - 1, c_0011_10 - 3280719450416799312/151089145993837*c_1001_2^14 - 4678446300953804472/151089145993837*c_1001_2^13 - 1674007372324500372/151089145993837*c_1001_2^12 - 8455460358362084764/151089145993837*c_1001_2^11 - 33623676868095612447/151089145993837*c_1001_2^10 - 54991833513919909123/151089145993837*c_1001_2^9 - 174629286830155260849/604356583975348*c_1001_2^8 - 25174370257589354245/302178291987674*c_1001_2^7 + 8565322120836102473/302178291987674*c_1001_2^6 + 1261653761012918659/302178291987674*c_1001_2^5 - 23888671056713517647/604356583975348*c_1001_2^4 - 5829974690191814466/151089145993837*c_1001_2^3 - 2609349362403335069/151089145993837*c_1001_2^2 - 1204120773469358781/302178291987674*c_1001_2 - 57921815600223892/151089145993837, c_0011_11 + 2277955198661879232/151089145993837*c_1001_2^14 + 2640649450200237600/151089145993837*c_1001_2^13 + 600098650783127184/151089145993837*c_1001_2^12 + 5838969540300980864/151089145993837*c_1001_2^11 + 21795158191135312108/151089145993837*c_1001_2^10 + 32731898922546816468/151089145993837*c_1001_2^9 + 22846678470433659421/151089145993837*c_1001_2^8 + 4366747478793318570/151089145993837*c_1001_2^7 - 6280698352767517257/302178291987674*c_1001_2^6 + 432601578524959153/151089145993837*c_1001_2^5 + 7664398787394610401/302178291987674*c_1001_2^4 + 3100742918547120405/151089145993837*c_1001_2^3 + 1202569999710675788/151089145993837*c_1001_2^2 + 236596725720205442/151089145993837*c_1001_2 + 18481235304169922/151089145993837, c_0011_6 + 9733388286129825456/151089145993837*c_1001_2^14 + 12861620991481096104/151089145993837*c_1001_2^13 + 4029213944534213052/151089145993837*c_1001_2^12 + 25032561943504172348/151089145993837*c_1001_2^11 + 97158327294681778569/151089145993837*c_1001_2^10 + 154028737276017912231/151089145993837*c_1001_2^9 + 468175240862748748247/604356583975348*c_1001_2^8 + 30052814154920737407/151089145993837*c_1001_2^7 - 25934496357200741975/302178291987674*c_1001_2^6 - 820269316042311159/302178291987674*c_1001_2^5 + 68749865253667860769/604356583975348*c_1001_2^4 + 31423161195710429863/302178291987674*c_1001_2^3 + 6725763142057533996/151089145993837*c_1001_2^2 + 2970173253459905725/302178291987674*c_1001_2 + 136006865422495030/151089145993837, c_0011_7 - 3725636516158930128/151089145993837*c_1001_2^14 - 4980216350850847944/151089145993837*c_1001_2^13 - 1574108530360711308/151089145993837*c_1001_2^12 - 9576957235874126864/151089145993837*c_1001_2^11 - 37341038475279841491/151089145993837*c_1001_2^10 - 59413191394684798582/151089145993837*c_1001_2^9 - 181382225152970389869/604356583975348*c_1001_2^8 - 47006868642228019935/604356583975348*c_1001_2^7 + 9982439488875990025/302178291987674*c_1001_2^6 + 826639053268754643/604356583975348*c_1001_2^5 - 26481964392947346077/604356583975348*c_1001_2^4 - 6081542537982535471/151089145993837*c_1001_2^3 - 5222703119533832423/302178291987674*c_1001_2^2 - 1157108307028295619/302178291987674*c_1001_2 - 53224547036786091/151089145993837, c_0101_0 - 2991392000376622128/151089145993837*c_1001_2^14 - 4005323561321002440/151089145993837*c_1001_2^13 - 1269817434369078876/151089145993837*c_1001_2^12 - 7695981243621038172/151089145993837*c_1001_2^11 - 29998184276353430709/151089145993837*c_1001_2^10 - 47761368154800496029/151089145993837*c_1001_2^9 - 146024405850744893147/604356583975348*c_1001_2^8 - 19039616705966769239/302178291987674*c_1001_2^7 + 15905663647929729427/604356583975348*c_1001_2^6 + 353081802785406673/302178291987674*c_1001_2^5 - 10620245132121015989/302178291987674*c_1001_2^4 - 9787026731512351657/302178291987674*c_1001_2^3 - 2109105180751330611/151089145993837*c_1001_2^2 - 469704418742108387/151089145993837*c_1001_2 - 43564386813114051/151089145993837, c_0101_1 - 3280719450416799312/151089145993837*c_1001_2^14 - 4678446300953804472/151089145993837*c_1001_2^13 - 1674007372324500372/151089145993837*c_1001_2^12 - 8455460358362084764/151089145993837*c_1001_2^11 - 33623676868095612447/151089145993837*c_1001_2^10 - 54991833513919909123/151089145993837*c_1001_2^9 - 174629286830155260849/604356583975348*c_1001_2^8 - 25174370257589354245/302178291987674*c_1001_2^7 + 8565322120836102473/302178291987674*c_1001_2^6 + 1261653761012918659/302178291987674*c_1001_2^5 - 23888671056713517647/604356583975348*c_1001_2^4 - 5829974690191814466/151089145993837*c_1001_2^3 - 2609349362403335069/151089145993837*c_1001_2^2 - 1204120773469358781/302178291987674*c_1001_2 - 57921815600223892/151089145993837, c_0101_2 - 1243787999018353200/151089145993837*c_1001_2^14 - 1864050555987755544/151089145993837*c_1001_2^13 - 722116154652965364/151089145993837*c_1001_2^12 - 3213108869072706928/151089145993837*c_1001_2^11 - 12977812313970654865/151089145993837*c_1001_2^10 - 21668270318854340608/151089145993837*c_1001_2^9 - 70777875682370275167/604356583975348*c_1001_2^8 - 21851104337976123963/604356583975348*c_1001_2^7 + 6323341645254986287/604356583975348*c_1001_2^6 + 1493247203345725609/604356583975348*c_1001_2^5 - 4610748192137989661/302178291987674*c_1001_2^4 - 4710094554459838691/302178291987674*c_1001_2^3 - 2170268860447255619/302178291987674*c_1001_2^2 - 257551699502178077/151089145993837*c_1001_2 - 25532299973055559/151089145993837, c_0101_3 - 4907850134573742048/151089145993837*c_1001_2^14 - 6502938328380302592/151089145993837*c_1001_2^13 - 2038448133444608784/151089145993837*c_1001_2^12 - 12621995158018652444/151089145993837*c_1001_2^11 - 49036331290514437434/151089145993837*c_1001_2^10 - 77798527455251926219/151089145993837*c_1001_2^9 - 118340244675447710507/302178291987674*c_1001_2^8 - 60871619756351598883/604356583975348*c_1001_2^7 + 26197274565977550125/604356583975348*c_1001_2^6 + 892239455775222499/604356583975348*c_1001_2^5 - 34717011209312060775/604356583975348*c_1001_2^4 - 7942286835286819970/151089145993837*c_1001_2^3 - 6803197870748079519/302178291987674*c_1001_2^2 - 1501886427120433569/302178291987674*c_1001_2 - 68632213503113073/151089145993837, c_1001_0 + 391692186526444272/151089145993837*c_1001_2^14 + 205313501495701800/151089145993837*c_1001_2^13 - 91822042098660324/151089145993837*c_1001_2^12 + 1009975413283443780/151089145993837*c_1001_2^11 + 3106655283729269477/151089145993837*c_1001_2^10 + 3488525057072434457/151089145993837*c_1001_2^9 + 4612113107311430107/604356583975348*c_1001_2^8 - 1432752624172481457/302178291987674*c_1001_2^7 - 485043190951124562/151089145993837*c_1001_2^6 + 386109007787858636/151089145993837*c_1001_2^5 + 1979028308021191317/604356583975348*c_1001_2^4 + 178954975583124928/151089145993837*c_1001_2^3 + 102339462004066/151089145993837*c_1001_2^2 - 31560462926990879/302178291987674*c_1001_2 - 2897745365813402/151089145993837, c_1001_1 - 1042956590078139984/151089145993837*c_1001_2^14 - 1305609396693869208/151089145993837*c_1001_2^13 - 365627150048316420/151089145993837*c_1001_2^12 - 2681066786625159364/151089145993837*c_1001_2^11 - 10227457792567597455/151089145993837*c_1001_2^10 - 15855460824569169045/151089145993837*c_1001_2^9 - 46653599990087352849/604356583975348*c_1001_2^8 - 2726681042299150170/151089145993837*c_1001_2^7 + 1383035994552294555/151089145993837*c_1001_2^6 - 133024516266459829/302178291987674*c_1001_2^5 - 7190693023419374423/604356583975348*c_1001_2^4 - 1568635883343739415/151089145993837*c_1001_2^3 - 652397711962015327/151089145993837*c_1001_2^2 - 282142378775277001/302178291987674*c_1001_2 - 12858359972657075/151089145993837, c_1001_2^15 + 11/6*c_1001_2^14 + 13/12*c_1001_2^13 + 25/9*c_1001_2^12 + 1627/144*c_1001_2^11 + 251/12*c_1001_2^10 + 11557/576*c_1001_2^9 + 1759/192*c_1001_2^8 + 13/64*c_1001_2^7 - 139/192*c_1001_2^6 + 505/288*c_1001_2^5 + 181/72*c_1001_2^4 + 217/144*c_1001_2^3 + 1/2*c_1001_2^2 + 13/144*c_1001_2 + 1/144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.280 Total time: 1.490 seconds, Total memory usage: 64.12MB