Magma V2.19-8 Tue Aug 20 2013 23:48:44 on localhost [Seed = 1932859861] Type ? for help. Type -D to quit. Loading file "L12a1849__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1849 geometric_solution 11.22021479 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 2 2 1 0 0 -1 1 0 0 0 0 0 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 3 -3 1 0 -1 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 0.623624338256 0.261915735411 0 2 6 5 0132 0213 0132 0132 1 2 1 2 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 1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485912607402 1.031229438408 3 0 1 7 2031 0132 0213 0132 1 1 1 2 0 0 0 0 1 0 0 -1 -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 -3 0 1 2 2 -2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632613324010 0.503940647475 4 7 2 0 3120 2310 1302 0132 1 2 1 1 0 0 -1 1 0 0 0 0 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 0 3 -3 0 0 -1 1 0 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632613324010 0.503940647475 8 9 0 3 0132 0132 0132 3120 1 2 1 2 0 0 -1 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 3 -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 0 0 0 0 0.485912607402 1.031229438408 10 9 1 10 0132 0213 0132 2031 1 2 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 1 0 -1 0 0 0 0 3 -1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148979467194 0.842748330700 8 11 8 1 3120 0132 3012 0132 1 2 2 2 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148979467194 0.842748330700 7 7 2 3 1302 2031 0132 3201 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 0.728911741917 0.736654877558 4 6 10 6 0132 1230 0132 3120 2 2 2 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 -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 0.148979467194 0.842748330700 11 4 5 11 3120 0132 0213 0132 1 0 2 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 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 0.148979467194 0.842748330700 5 5 11 8 0132 1302 3201 0132 2 2 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 -1 1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796592744130 1.150635913561 10 6 9 9 2310 0132 0132 3120 1 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 0 0 0 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 0.796592744130 1.150635913561 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0110_7']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_1001_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0110_7']), 'c_1010_2' : negation(d['c_0110_7']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : 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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0110_7, c_1001_1, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3139365125226379/265048015462400*c_1001_8^10 - 6826331936611177/265048015462400*c_1001_8^9 + 7309172327361177/66262003865600*c_1001_8^8 + 149098407128813783/265048015462400*c_1001_8^7 - 228943867265858193/132524007731200*c_1001_8^6 - 423624420061602157/265048015462400*c_1001_8^5 + 26299419540656379/5300960309248*c_1001_8^4 - 218732998988480761/265048015462400*c_1001_8^3 - 46940604867193507/53009603092480*c_1001_8^2 + 18592347015200577/265048015462400*c_1001_8 + 13242104203547261/265048015462400, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 8434000339/331310019328*c_1001_8^10 - 18054893633/331310019328*c_1001_8^9 + 19688473265/82827504832*c_1001_8^8 + 402800717631/331310019328*c_1001_8^7 - 604871781257/165655009664*c_1001_8^6 - 1126147280805/331310019328*c_1001_8^5 + 1729900250891/165655009664*c_1001_8^4 - 631361435793/331310019328*c_1001_8^3 - 420981037463/331310019328*c_1001_8^2 + 40881382937/331310019328*c_1001_8 - 145158066379/331310019328, c_0011_3 + 335764385/10353438104*c_1001_8^10 - 445929035/10353438104*c_1001_8^9 + 753940959/2588359526*c_1001_8^8 + 17806302293/10353438104*c_1001_8^7 - 15546392855/5176719052*c_1001_8^6 - 60117447071/10353438104*c_1001_8^5 + 23191319113/5176719052*c_1001_8^4 + 469403757/10353438104*c_1001_8^3 + 98724105355/10353438104*c_1001_8^2 + 19373254827/10353438104*c_1001_8 - 437057345/10353438104, c_0011_4 - c_1001_8, c_0011_7 + 1490801037/5176719052*c_1001_8^10 - 3059740587/5176719052*c_1001_8^9 + 3383093849/1294179763*c_1001_8^8 + 72356479293/5176719052*c_1001_8^7 - 104216900545/2588359526*c_1001_8^6 - 225924772775/5176719052*c_1001_8^5 + 295033575353/2588359526*c_1001_8^4 - 35714625007/5176719052*c_1001_8^3 - 93118824349/5176719052*c_1001_8^2 - 154454925/5176719052*c_1001_8 + 4435903475/5176719052, c_0101_0 + 280780319/41413752416*c_1001_8^10 - 979546949/41413752416*c_1001_8^9 + 748475525/10353438104*c_1001_8^8 + 10011928027/41413752416*c_1001_8^7 - 30710589245/20706876208*c_1001_8^6 - 11270918681/41413752416*c_1001_8^5 + 92331904119/20706876208*c_1001_8^4 - 45731270293/41413752416*c_1001_8^3 - 22786779539/41413752416*c_1001_8^2 - 127749931555/41413752416*c_1001_8 - 5164099959/41413752416, c_0101_1 - 1, c_0101_10 + 261971746379/1325240077312*c_1001_8^10 - 553192037737/1325240077312*c_1001_8^9 + 606752809625/331310019328*c_1001_8^8 + 12558241769111/1325240077312*c_1001_8^7 - 18612230706737/662620038656*c_1001_8^6 - 36542847185261/1325240077312*c_1001_8^5 + 52468887152579/662620038656*c_1001_8^4 - 15304232718265/1325240077312*c_1001_8^3 - 13909353188143/1325240077312*c_1001_8^2 + 904885329025/1325240077312*c_1001_8 + 344783775101/1325240077312, c_0110_7 + 335764385/10353438104*c_1001_8^10 - 445929035/10353438104*c_1001_8^9 + 753940959/2588359526*c_1001_8^8 + 17806302293/10353438104*c_1001_8^7 - 15546392855/5176719052*c_1001_8^6 - 60117447071/10353438104*c_1001_8^5 + 23191319113/5176719052*c_1001_8^4 + 469403757/10353438104*c_1001_8^3 + 98724105355/10353438104*c_1001_8^2 + 9019816723/10353438104*c_1001_8 - 10790495449/10353438104, c_1001_1 + 280780319/41413752416*c_1001_8^10 - 979546949/41413752416*c_1001_8^9 + 748475525/10353438104*c_1001_8^8 + 10011928027/41413752416*c_1001_8^7 - 30710589245/20706876208*c_1001_8^6 - 11270918681/41413752416*c_1001_8^5 + 92331904119/20706876208*c_1001_8^4 - 45731270293/41413752416*c_1001_8^3 - 22786779539/41413752416*c_1001_8^2 - 127749931555/41413752416*c_1001_8 - 5164099959/41413752416, c_1001_8^11 - 2*c_1001_8^10 + 9*c_1001_8^9 + 49*c_1001_8^8 - 137*c_1001_8^7 - 157*c_1001_8^6 + 387*c_1001_8^5 - 9*c_1001_8^4 - 64*c_1001_8^3 - 2*c_1001_8^2 + 2*c_1001_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB