Magma V2.19-8 Wed Aug 21 2013 00:56:59 on localhost [Seed = 2732898420] Type ? for help. Type -D to quit. Loading file "L13n3252__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3252 geometric_solution 12.53400854 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 -1 0 1 0 0 -2 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523025970767 1.030909782669 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329278697799 0.742816742115 8 0 10 9 0132 0132 0132 0132 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 1 0 -1 -1 0 0 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 0.523025970767 1.030909782669 5 11 10 0 2103 0132 0321 0132 1 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 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 1.028215444345 0.915058578889 9 6 0 7 0132 0132 0132 0132 1 1 1 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 -1 1 2 0 -2 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 0.606937948726 0.694314213508 8 1 3 6 1023 0132 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.228211191968 1.110257381283 5 4 1 10 3120 0132 0132 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867323346141 0.806661117217 12 11 4 1 0132 3012 0132 0132 1 1 0 1 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 1 -1 0 -3 0 0 3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672776980752 0.825130327765 2 5 12 11 0132 1023 0132 0213 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 1 0 0 -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 0.329278697799 0.742816742115 4 11 2 12 0132 0213 0132 0132 1 1 0 1 0 0 0 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 0 0 0 0 0 1 -1 -2 0 -1 3 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606937948726 0.694314213508 12 6 3 2 1230 0321 0321 0132 1 1 0 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 0 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028215444345 0.915058578889 7 3 9 8 1230 0132 0213 0213 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 0 0 0 0 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381786846398 0.574974160884 7 10 9 8 0132 3012 0132 0132 1 1 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672776980752 0.825130327765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(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_4']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_12' : negation(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' : negation(d['1']), 's_0_7' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_3'], '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' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_3'], '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' : negation(d['1']), 's_1_1' : negation(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_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_1001_0, c_1001_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 612285288539513229013/108860361965355*c_1001_3^11 - 790971094233928591091/36286787321785*c_1001_3^10 - 3636255788865746226353/108860361965355*c_1001_3^9 - 1140310022224843759024/36286787321785*c_1001_3^8 - 1643512059178778213059/21772072393071*c_1001_3^7 - 14694740347681702300313/108860361965355*c_1001_3^6 - 10800767158021596761458/108860361965355*c_1001_3^5 - 4879566619587170505989/108860361965355*c_1001_3^4 - 2510161782764465913431/36286787321785*c_1001_3^3 - 8501882904004499823248/108860361965355*c_1001_3^2 - 1303422406755702109263/36286787321785*c_1001_3 - 629994334510924394741/108860361965355, c_0011_0 - 1, c_0011_10 - 303489126974432/17337213245*c_1001_3^11 - 1174981257049211/17337213245*c_1001_3^10 - 359666596375332/3467442649*c_1001_3^9 - 338107780516290/3467442649*c_1001_3^8 - 4069009652988391/17337213245*c_1001_3^7 - 7269728083507851/17337213245*c_1001_3^6 - 5331801926597074/17337213245*c_1001_3^5 - 2408304642167013/17337213245*c_1001_3^4 - 3728185830561162/17337213245*c_1001_3^3 - 840320024356387/3467442649*c_1001_3^2 - 1927773860200104/17337213245*c_1001_3 - 309782511395477/17337213245, c_0011_11 + 226894714812444/7880551475*c_1001_3^11 + 878420186301474/7880551475*c_1001_3^10 + 1344362793584838/7880551475*c_1001_3^9 + 1263679470310183/7880551475*c_1001_3^8 + 121675774138043/315222059*c_1001_3^7 + 5434687113861406/7880551475*c_1001_3^6 + 3985371032735723/7880551475*c_1001_3^5 + 71992015903921/315222059*c_1001_3^4 + 2787132961370706/7880551475*c_1001_3^3 + 3140896226673464/7880551475*c_1001_3^2 + 1440690672215502/7880551475*c_1001_3 + 231396735048292/7880551475, c_0011_12 + 670511995000158/433430331125*c_1001_3^11 + 2524924110474168/433430331125*c_1001_3^10 + 3734822785472216/433430331125*c_1001_3^9 + 3437256301359131/433430331125*c_1001_3^8 + 349931140677804/17337213245*c_1001_3^7 + 15234135312372267/433430331125*c_1001_3^6 + 10505426714122961/433430331125*c_1001_3^5 + 189280586745476/17337213245*c_1001_3^4 + 7978918847189667/433430331125*c_1001_3^3 + 8543142116130098/433430331125*c_1001_3^2 + 3657751033166839/433430331125*c_1001_3 + 544932299288244/433430331125, c_0011_4 - 352257823906361/86686066225*c_1001_3^11 - 1367888574234616/86686066225*c_1001_3^10 - 2101143250493537/86686066225*c_1001_3^9 - 1979576902593617/86686066225*c_1001_3^8 - 947392651541388/17337213245*c_1001_3^7 - 8485743918133484/86686066225*c_1001_3^6 - 6262912945402137/86686066225*c_1001_3^5 - 565991308773364/17337213245*c_1001_3^4 - 4342111022230299/86686066225*c_1001_3^3 - 4919643016765461/86686066225*c_1001_3^2 - 2272816862977458/86686066225*c_1001_3 - 367764255744813/86686066225, c_0101_0 - 1, c_0101_1 - 3567423472269157/433430331125*c_1001_3^11 - 13685196345752847/433430331125*c_1001_3^10 - 20715865149368264/433430331125*c_1001_3^9 - 19344556768293049/433430331125*c_1001_3^8 - 379217715155186/3467442649*c_1001_3^7 - 83983511329062718/433430331125*c_1001_3^6 - 60417054753560394/433430331125*c_1001_3^5 - 1090809783748961/17337213245*c_1001_3^4 - 43365163856860918/433430331125*c_1001_3^3 - 48076874326279092/433430331125*c_1001_3^2 - 21597459433186106/433430331125*c_1001_3 - 3395173918158526/433430331125, c_0101_10 - 458013655076402/86686066225*c_1001_3^11 - 1768124557172642/86686066225*c_1001_3^10 - 2696946817613454/86686066225*c_1001_3^9 - 2530224019517589/86686066225*c_1001_3^8 - 244950343398752/3467442649*c_1001_3^7 - 10911918556900248/86686066225*c_1001_3^6 - 7956136319000284/86686066225*c_1001_3^5 - 143747773100088/3467442649*c_1001_3^4 - 5608175444055323/86686066225*c_1001_3^3 - 6287910338555287/86686066225*c_1001_3^2 - 2867110248448866/86686066225*c_1001_3 - 457992198672761/86686066225, c_0101_7 + 903046864623538/86686066225*c_1001_3^11 + 3483866179604298/86686066225*c_1001_3^10 + 5310647272120126/86686066225*c_1001_3^9 + 4981452101741216/86686066225*c_1001_3^8 + 482731444977514/3467442649*c_1001_3^7 + 21489656236048237/86686066225*c_1001_3^6 + 15654650711009921/86686066225*c_1001_3^5 + 283048705797841/3467442649*c_1001_3^4 + 11050171030590612/86686066225*c_1001_3^3 + 12376527344330178/86686066225*c_1001_3^2 + 5640881054447679/86686066225*c_1001_3 + 901208289830234/86686066225, c_1001_0 - 952375467071526/86686066225*c_1001_3^11 - 3720920694667821/86686066225*c_1001_3^10 - 5756111763734077/86686066225*c_1001_3^9 - 5445414668410407/86686066225*c_1001_3^8 - 515309467652412/3467442649*c_1001_3^7 - 23205165699589274/86686066225*c_1001_3^6 - 17332667172081717/86686066225*c_1001_3^5 - 313316804107687/3467442649*c_1001_3^4 - 11821627422172549/86686066225*c_1001_3^3 - 13534669534402031/86686066225*c_1001_3^2 - 6331903454849108/86686066225*c_1001_3 - 1037370008874968/86686066225, c_1001_10 - 1064333101641588/86686066225*c_1001_3^11 - 4112976868781923/86686066225*c_1001_3^10 - 6281602211986601/86686066225*c_1001_3^9 - 5898220792319916/86686066225*c_1001_3^8 - 569817631730634/3467442649*c_1001_3^7 - 25406680312609787/86686066225*c_1001_3^6 - 18567321087848746/86686066225*c_1001_3^5 - 335575118937318/3467442649*c_1001_3^4 - 13047720241619787/86686066225*c_1001_3^3 - 14656828101128478/86686066225*c_1001_3^2 - 6700948287717179/86686066225*c_1001_3 - 1073359555361409/86686066225, c_1001_2 + 3880239014857456/433430331125*c_1001_3^11 + 15042623295487776/433430331125*c_1001_3^10 + 23061348805875462/433430331125*c_1001_3^9 + 21703157360452617/433430331125*c_1001_3^8 + 2083876038944448/17337213245*c_1001_3^7 + 93182920064766019/433430331125*c_1001_3^6 + 68547134101653552/433430331125*c_1001_3^5 + 1239151615442022/17337213245*c_1001_3^4 + 47742483890257319/433430331125*c_1001_3^3 + 53931813616278786/433430331125*c_1001_3^2 + 24832705542606798/433430331125*c_1001_3 + 4006791724915383/433430331125, c_1001_3^12 + 189/43*c_1001_3^11 + 342/43*c_1001_3^10 + 373/43*c_1001_3^9 + 702/43*c_1001_3^8 + 1332/43*c_1001_3^7 + 1295/43*c_1001_3^6 + 737/43*c_1001_3^5 + 707/43*c_1001_3^4 + 872/43*c_1001_3^3 + 585/43*c_1001_3^2 + 187/43*c_1001_3 + 23/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB