Magma V2.19-8 Wed Aug 21 2013 00:54:43 on localhost [Seed = 3170543344] Type ? for help. Type -D to quit. Loading file "L12n579__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n579 geometric_solution 12.02534786 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 1 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 0 0 0 -1 0 1 -1 0 0 1 0 -8 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431251916785 0.820130470841 0 4 6 5 0132 0132 0132 0132 1 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 1 0 0 -1 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408014722649 0.674056366924 7 0 0 5 0132 0132 0321 2031 1 1 1 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 1 0 -1 -1 0 1 0 1 -1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431251916785 0.820130470841 4 8 0 9 2031 0132 0132 0132 1 1 1 1 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 8 -1 -7 0 0 -1 1 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559790359315 1.430177809783 10 1 3 6 0132 0132 1302 3012 1 1 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 -8 8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.410046343863 1.113388408558 11 2 1 12 0132 1302 0132 0132 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 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 0.327347615674 0.749898214315 6 6 4 1 1230 3012 1230 0132 1 1 1 1 0 1 -1 0 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 8 -8 0 0 0 0 0 -8 0 0 8 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976954113248 0.979322411515 2 10 9 11 0132 0132 2103 0213 0 1 1 1 0 1 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 1 0 -1 1 0 -1 0 8 0 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139413074015 0.916162517759 10 3 11 9 3012 0132 1023 0213 1 0 1 1 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 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.300803323718 0.694326397243 7 12 3 8 2103 1023 0132 0213 1 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 0 0 0 0 0 0 -7 7 0 1 0 -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 0.699196676282 0.694326397243 4 7 12 8 0132 0132 2031 1230 0 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483306937816 0.744744175109 5 12 8 7 0132 2103 1023 0213 0 1 1 1 0 0 -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 0 0 0 0 0 0 -1 0 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755529678144 0.560040302831 9 11 5 10 1023 2103 0132 1302 1 1 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 0 0 7 0 1 -8 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.345304768652 1.499796428630 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0110_8']), 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : 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' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : 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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : d['c_0110_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_12']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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'], 'c_1100_12' : d['c_0101_10'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_8']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_6']})} 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_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0110_12, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 229442369426692118/100549169461125*c_1001_2^7 - 190861797464345347/100549169461125*c_1001_2^6 + 2077271644838128307/201098338922250*c_1001_2^5 - 73017209866694896/3046944529125*c_1001_2^4 + 76293415920069311/6703277964075*c_1001_2^3 - 96075225381125243/6093889058250*c_1001_2^2 + 687912602537461/383044455090*c_1001_2 - 1039529132468389247/201098338922250, c_0011_0 - 1, c_0011_11 + 2564/11221*c_1001_2^7 + 730/11221*c_1001_2^6 + 8779/11221*c_1001_2^5 - 12921/11221*c_1001_2^4 - 19900/11221*c_1001_2^3 + 2203/11221*c_1001_2^2 - 10835/11221*c_1001_2 - 1294/11221, c_0011_12 - 1, c_0011_3 - 16/229*c_1001_2^7 - 56/229*c_1001_2^6 - 212/1603*c_1001_2^5 - 108/229*c_1001_2^4 + 4594/1603*c_1001_2^3 + 186/1603*c_1001_2^2 - 1149/1603*c_1001_2 + 1124/1603, c_0011_6 - 5972/11221*c_1001_2^7 + 5662/11221*c_1001_2^6 - 24259/11221*c_1001_2^5 + 64571/11221*c_1001_2^4 - 21123/11221*c_1001_2^3 + 14645/11221*c_1001_2^2 - 3910/11221*c_1001_2 - 1635/11221, c_0101_0 - 1780/11221*c_1001_2^7 + 2014/11221*c_1001_2^6 - 7295/11221*c_1001_2^5 + 18213/11221*c_1001_2^4 - 12258/11221*c_1001_2^3 - 3505/11221*c_1001_2^2 + 7657/11221*c_1001_2 - 6574/11221, c_0101_10 + 3348/11221*c_1001_2^7 + 3474/11221*c_1001_2^6 + 10263/11221*c_1001_2^5 - 7629/11221*c_1001_2^4 - 52058/11221*c_1001_2^3 + 901/11221*c_1001_2^2 - 14013/11221*c_1001_2 - 9162/11221, c_0101_11 + 8144/11221*c_1001_2^7 - 6304/11221*c_1001_2^6 + 32296/11221*c_1001_2^5 - 80138/11221*c_1001_2^4 + 17302/11221*c_1001_2^3 - 23012/11221*c_1001_2^2 - 5336/11221*c_1001_2 - 6946/11221, c_0101_6 + 1168/11221*c_1001_2^7 - 1408/11221*c_1001_2^6 + 6660/11221*c_1001_2^5 - 12268/11221*c_1001_2^4 + 9243/11221*c_1001_2^3 - 8777/11221*c_1001_2^2 - 18540/11221*c_1001_2 - 8712/11221, c_0101_7 - 16/229*c_1001_2^7 - 56/229*c_1001_2^6 - 212/1603*c_1001_2^5 - 108/229*c_1001_2^4 + 4594/1603*c_1001_2^3 + 186/1603*c_1001_2^2 + 2057/1603*c_1001_2 + 1124/1603, c_0110_12 + 1, c_0110_8 - 2564/11221*c_1001_2^7 - 730/11221*c_1001_2^6 - 8779/11221*c_1001_2^5 + 12921/11221*c_1001_2^4 + 19900/11221*c_1001_2^3 - 2203/11221*c_1001_2^2 + 22056/11221*c_1001_2 + 1294/11221, c_1001_2^8 - 1/2*c_1001_2^7 + 17/4*c_1001_2^6 - 9*c_1001_2^5 + 3/2*c_1001_2^4 - 21/4*c_1001_2^3 - 3/2*c_1001_2^2 - 2*c_1001_2 - 3/4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0110_12, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 135438910530168076/145234576025*c_1001_2^8 - 556673392663247456/145234576025*c_1001_2^7 - 8790021151186216/20747796575*c_1001_2^6 + 18851124915119571/290469152050*c_1001_2^5 - 162230421600902302/29046915205*c_1001_2^4 - 902291841758286801/145234576025*c_1001_2^3 - 1250533923459899543/290469152050*c_1001_2^2 - 883953618016671229/290469152050*c_1001_2 - 43078113327753871/41495593150, c_0011_0 - 1, c_0011_11 - 1811768/1342465*c_1001_2^8 - 7339368/1342465*c_1001_2^7 + 211824/1342465*c_1001_2^6 + 1966839/1342465*c_1001_2^5 - 2487763/268493*c_1001_2^4 - 9210438/1342465*c_1001_2^3 - 6231507/1342465*c_1001_2^2 - 4346651/1342465*c_1001_2 - 215988/1342465, c_0011_12 - 1, c_0011_3 - 1311616/1342465*c_1001_2^8 - 3491136/1342465*c_1001_2^7 + 5382768/1342465*c_1001_2^6 - 5164752/1342465*c_1001_2^5 - 861064/268493*c_1001_2^4 - 1070046/1342465*c_1001_2^3 - 2323994/1342465*c_1001_2^2 + 2057163/1342465*c_1001_2 - 757556/1342465, c_0011_6 + 2652168/1342465*c_1001_2^8 + 8661288/1342465*c_1001_2^7 - 6383944/1342465*c_1001_2^6 + 3751951/1342465*c_1001_2^5 + 2254227/268493*c_1001_2^4 + 8167273/1342465*c_1001_2^3 + 4779617/1342465*c_1001_2^2 + 1703626/1342465*c_1001_2 - 294757/1342465, c_0101_0 - 3123384/1342465*c_1001_2^8 - 10830504/1342465*c_1001_2^7 + 5594592/1342465*c_1001_2^6 - 3197913/1342465*c_1001_2^5 - 3348827/268493*c_1001_2^4 - 10280484/1342465*c_1001_2^3 - 8555501/1342465*c_1001_2^2 - 3631953/1342465*c_1001_2 - 973544/1342465, c_0101_10 + 500152/1342465*c_1001_2^8 + 3848232/1342465*c_1001_2^7 + 5170944/1342465*c_1001_2^6 - 7131591/1342465*c_1001_2^5 + 1626699/268493*c_1001_2^4 + 8140392/1342465*c_1001_2^3 + 3907513/1342465*c_1001_2^2 + 5061349/1342465*c_1001_2 - 541568/1342465, c_0101_11 + 5418944/1342465*c_1001_2^8 + 17767024/1342465*c_1001_2^7 - 13733712/1342465*c_1001_2^6 + 5841208/1342465*c_1001_2^5 + 5820354/268493*c_1001_2^4 + 10709534/1342465*c_1001_2^3 + 9892036/1342465*c_1001_2^2 + 4892528/1342465*c_1001_2 - 2166126/1342465, c_0101_6 + 2858208/1342465*c_1001_2^8 + 10628288/1342465*c_1001_2^7 - 3490344/1342465*c_1001_2^6 - 1042404/1342465*c_1001_2^5 + 3705976/268493*c_1001_2^4 + 11017593/1342465*c_1001_2^3 + 4877707/1342465*c_1001_2^2 + 4081456/1342465*c_1001_2 - 476652/1342465, c_0101_7 - 1311616/1342465*c_1001_2^8 - 3491136/1342465*c_1001_2^7 + 5382768/1342465*c_1001_2^6 - 5164752/1342465*c_1001_2^5 - 861064/268493*c_1001_2^4 - 1070046/1342465*c_1001_2^3 - 2323994/1342465*c_1001_2^2 - 627767/1342465*c_1001_2 - 757556/1342465, c_0110_12 - 1, c_0110_8 - 1811768/1342465*c_1001_2^8 - 7339368/1342465*c_1001_2^7 + 211824/1342465*c_1001_2^6 + 1966839/1342465*c_1001_2^5 - 2487763/268493*c_1001_2^4 - 9210438/1342465*c_1001_2^3 - 6231507/1342465*c_1001_2^2 - 3004186/1342465*c_1001_2 - 215988/1342465, c_1001_2^9 + 4*c_1001_2^8 - 1/8*c_1001_2^6 + 6*c_1001_2^5 + 6*c_1001_2^4 + 31/8*c_1001_2^3 + 11/4*c_1001_2^2 + 3/4*c_1001_2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB