Magma V2.19-8 Tue Aug 20 2013 23:50:48 on localhost [Seed = 2210785458] Type ? for help. Type -D to quit. Loading file "L12n865__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n865 geometric_solution 10.80695283 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 0 1 -1 0 0 0 0 0 -1 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961060343049 0.709990405539 0 2 6 5 0132 0213 0132 0132 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750158169367 0.906957253436 7 0 1 8 0132 0132 0213 0132 1 1 1 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 -4 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326858150053 0.497288498569 7 4 9 0 2031 1302 0132 0132 1 1 1 1 0 0 0 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 1 0 -1 0 0 0 0 -5 1 0 4 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468039303410 0.616249383092 10 6 0 3 0132 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0 -1 0 -4 0 4 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658775173318 0.584120585008 11 8 1 9 0132 0321 0132 0321 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 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 0.416816782378 0.401683530276 10 4 8 1 3120 0132 3201 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 -1 0 1 0 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261472498048 0.964312144901 2 11 3 11 0132 1302 1302 3201 1 1 0 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 -5 5 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802662121022 0.929843200978 6 9 2 5 2310 1230 0132 0321 1 1 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 4 0 -4 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 -0.781597316973 1.029099182273 10 5 8 3 2103 0321 3012 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 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 0.385982689934 0.794518344801 4 11 9 6 0132 3201 2103 3120 1 1 0 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 0 0 0 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544243560671 0.308306875263 5 7 10 7 0132 2310 2310 2031 0 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 0 -1 1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802662121022 0.929843200978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), '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' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1001_5'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 809929123857105553/20242953244560896*c_1001_5^7 - 3396334437832929135/20242953244560896*c_1001_5^6 - 49145066469184935189/222672485690169856*c_1001_5^5 - 13480780665838091085/222672485690169856*c_1001_5^4 - 1163545611836826391/55668121422542464*c_1001_5^3 - 36165755862754751895/222672485690169856*c_1001_5^2 - 19304270295097932505/222672485690169856*c_1001_5 + 9393391496234748755/222672485690169856, c_0011_0 - 1, c_0011_10 + 2402721476771/919465536181*c_1001_5^7 + 9342609771264/919465536181*c_1001_5^6 + 11324432805725/919465536181*c_1001_5^5 + 3830322429289/919465536181*c_1001_5^4 + 2500057311922/919465536181*c_1001_5^3 + 5540339096632/919465536181*c_1001_5^2 + 1895444890003/919465536181*c_1001_5 - 430751072472/919465536181, c_0011_11 - 159446091035/919465536181*c_1001_5^7 + 254022353750/919465536181*c_1001_5^6 + 2333496265773/919465536181*c_1001_5^5 + 2435544579881/919465536181*c_1001_5^4 - 383446451680/919465536181*c_1001_5^3 + 326462877148/919465536181*c_1001_5^2 + 1657341437213/919465536181*c_1001_5 + 367119622929/919465536181, c_0011_3 + 155675904461/919465536181*c_1001_5^7 + 430357654397/919465536181*c_1001_5^6 + 692369650651/919465536181*c_1001_5^5 + 417421035851/919465536181*c_1001_5^4 - 49821999174/919465536181*c_1001_5^3 + 597241793237/919465536181*c_1001_5^2 + 449168528227/919465536181*c_1001_5 - 390724836946/919465536181, c_0011_8 - 543305495194/919465536181*c_1001_5^7 - 2758440284743/919465536181*c_1001_5^6 - 3809999615732/919465536181*c_1001_5^5 - 902331012438/919465536181*c_1001_5^4 - 410485441176/919465536181*c_1001_5^3 - 2556386221744/919465536181*c_1001_5^2 - 599606305472/919465536181*c_1001_5 - 124071165004/919465536181, c_0011_9 + 1425738331710/919465536181*c_1001_5^7 + 6281352456621/919465536181*c_1001_5^6 + 9483863513087/919465536181*c_1001_5^5 + 5455680879004/919465536181*c_1001_5^4 + 2267790609357/919465536181*c_1001_5^3 + 4159309354027/919465536181*c_1001_5^2 + 3602074465457/919465536181*c_1001_5 + 569990659975/919465536181, c_0101_0 - 1, c_0101_1 + 857913104048/919465536181*c_1001_5^7 + 1294203298069/919465536181*c_1001_5^6 - 2403599932483/919465536181*c_1001_5^5 - 3817841531678/919465536181*c_1001_5^4 + 1210026749672/919465536181*c_1001_5^3 + 33242398902/919465536181*c_1001_5^2 - 1916616631182/919465536181*c_1001_5 + 370714276351/919465536181, c_0101_10 + 109113458685/919465536181*c_1001_5^7 + 815050967522/919465536181*c_1001_5^6 + 1206957005733/919465536181*c_1001_5^5 + 727971474505/919465536181*c_1001_5^4 + 1054621035777/919465536181*c_1001_5^3 + 937819961952/919465536181*c_1001_5^2 - 241138913632/919465536181*c_1001_5 + 414440561315/919465536181, c_1001_0 + 608823104967/919465536181*c_1001_5^7 + 2379671200896/919465536181*c_1001_5^6 + 2714777283842/919465536181*c_1001_5^5 + 603864238526/919465536181*c_1001_5^4 + 1293068739456/919465536181*c_1001_5^3 + 1933141503202/919465536181*c_1001_5^2 - 460724357642/919465536181*c_1001_5 + 481570655056/919465536181, c_1001_1 - 2084379682385/919465536181*c_1001_5^7 - 5951378048924/919465536181*c_1001_5^6 - 4085714592330/919465536181*c_1001_5^5 - 193980063058/919465536181*c_1001_5^4 - 3355601620706/919465536181*c_1001_5^3 - 2034245279198/919465536181*c_1001_5^2 + 502367979615/919465536181*c_1001_5 - 355023165828/919465536181, c_1001_5^8 + 32/7*c_1001_5^7 + 566/77*c_1001_5^6 + 366/77*c_1001_5^5 + 207/77*c_1001_5^4 + 31/7*c_1001_5^3 + 240/77*c_1001_5^2 + 6/11*c_1001_5 + 43/77 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB