Magma V2.19-8 Wed Aug 21 2013 00:55:32 on localhost [Seed = 1443908692] Type ? for help. Type -D to quit. Loading file "L13n10327__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10327 geometric_solution 12.23951818 oriented_manifold CS_known 0.0000000000000011 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 0132 1 1 1 1 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 0 0 0 0 0 0 0 4 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475725472011 0.371410984488 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 1 -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 -4 4 -4 0 4 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 0.684349614539 1.006452291647 2 0 0 2 3012 0132 1023 1230 1 1 1 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 -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 0 0 0 0 0 0 1.615854894015 0.827816086486 7 5 0 8 0132 0132 0132 0132 1 1 1 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 -5 4 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 0.684349614539 1.006452291647 8 1 8 8 3201 0132 0213 1230 1 0 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 -1 0 -3 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691019744863 0.715438542839 9 3 1 10 0132 0132 0132 0132 1 1 1 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 5 -4 -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 0.187983362721 0.487607987654 7 7 11 1 3120 1230 0132 0132 1 1 1 2 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 0 -4 4 0 0 4 -4 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473308156523 0.979453449745 3 12 6 6 0132 0132 3012 3120 2 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 1 0 -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 0.473308156523 0.979453449745 4 4 3 4 3012 0213 0132 2310 1 1 0 1 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 -1 1 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691019744863 0.715438542839 5 11 11 10 0132 2031 2310 2031 2 1 1 1 0 -1 1 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 -3 4 -1 0 0 -1 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602689309223 1.090146746391 12 9 5 12 3201 1302 0132 1302 1 1 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 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 0.602689309223 1.090146746391 9 9 12 6 1302 3201 1302 0132 1 1 2 1 0 1 0 -1 -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 -4 0 4 4 0 0 -4 3 -4 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611582749619 0.702570620161 11 7 10 10 2031 0132 2031 2310 2 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 -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 0.611582749619 0.702570620161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_4'], 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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' : d['c_0011_12'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], '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_0'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0101_7, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 552613768289983469/75770932236853104*c_1001_4^10 - 7316396208169783933/303083728947412416*c_1001_4^9 + 9505602011812408969/202055819298274944*c_1001_4^8 - 26623867074756001979/151541864473706208*c_1001_4^7 + 39096102939290390503/101027909649137472*c_1001_4^6 - 203849618396093100061/303083728947412416*c_1001_4^5 + 112386802871995493525/101027909649137472*c_1001_4^4 - 18898897371789579473/12628488706142184*c_1001_4^3 + 567880918629852974057/303083728947412416*c_1001_4^2 - 53923558263774452575/37885466118426552*c_1001_4 + 424406772001234853251/606167457894824832, c_0011_0 - 1, c_0011_10 + 11727735/822094096*c_1001_4^10 - 67460993/3288376384*c_1001_4^9 + 78999377/1644188192*c_1001_4^8 - 237875463/822094096*c_1001_4^7 + 112967717/411047048*c_1001_4^6 - 583443111/822094096*c_1001_4^5 + 2197639625/1644188192*c_1001_4^4 - 101413249/102761762*c_1001_4^3 + 194288025/102761762*c_1001_4^2 - 1533898535/3288376384*c_1001_4 + 524315573/411047048, c_0011_12 + 237641/51380881*c_1001_4^10 - 1791777/411047048*c_1001_4^9 + 22290929/1644188192*c_1001_4^8 - 168832475/1644188192*c_1001_4^7 + 166818511/1644188192*c_1001_4^6 - 403432015/1644188192*c_1001_4^5 + 869396443/1644188192*c_1001_4^4 - 986575749/1644188192*c_1001_4^3 + 37499517/1644188192*c_1001_4^2 + 778828131/1644188192*c_1001_4 + 49489995/205523524, c_0011_6 - 1, c_0011_8 - 1, c_0101_0 + 9229351/411047048*c_1001_4^10 - 85955269/1644188192*c_1001_4^9 + 132660969/1644188192*c_1001_4^8 - 678018679/1644188192*c_1001_4^7 + 1193915757/1644188192*c_1001_4^6 - 1864092523/1644188192*c_1001_4^5 + 2812224347/1644188192*c_1001_4^4 - 3949232369/1644188192*c_1001_4^3 + 5058310659/1644188192*c_1001_4^2 - 327799979/205523524*c_1001_4 - 12671079/51380881, c_0101_1 + 237641/51380881*c_1001_4^10 - 1791777/411047048*c_1001_4^9 + 22290929/1644188192*c_1001_4^8 - 168832475/1644188192*c_1001_4^7 + 166818511/1644188192*c_1001_4^6 - 403432015/1644188192*c_1001_4^5 + 869396443/1644188192*c_1001_4^4 - 986575749/1644188192*c_1001_4^3 + 37499517/1644188192*c_1001_4^2 + 2423016323/1644188192*c_1001_4 - 156033529/205523524, c_0101_10 + 2588601/411047048*c_1001_4^10 + 30100645/1644188192*c_1001_4^9 - 5317361/1644188192*c_1001_4^8 - 242490699/1644188192*c_1001_4^7 - 264785821/1644188192*c_1001_4^6 - 286141019/1644188192*c_1001_4^5 + 930697233/1644188192*c_1001_4^4 - 748299465/1644188192*c_1001_4^3 + 318460777/1644188192*c_1001_4^2 + 658393125/822094096*c_1001_4 + 53605569/102761762, c_0101_12 - 237641/51380881*c_1001_4^10 + 1791777/411047048*c_1001_4^9 - 22290929/1644188192*c_1001_4^8 + 168832475/1644188192*c_1001_4^7 - 166818511/1644188192*c_1001_4^6 + 403432015/1644188192*c_1001_4^5 - 869396443/1644188192*c_1001_4^4 + 986575749/1644188192*c_1001_4^3 - 37499517/1644188192*c_1001_4^2 - 778828131/1644188192*c_1001_4 - 49489995/205523524, c_0101_2 + 21323927/822094096*c_1001_4^10 - 254237481/3288376384*c_1001_4^9 + 60973291/411047048*c_1001_4^8 - 921402173/1644188192*c_1001_4^7 + 1904441585/1644188192*c_1001_4^6 - 3313210741/1644188192*c_1001_4^5 + 2464222367/822094096*c_1001_4^4 - 6227379605/1644188192*c_1001_4^3 + 7064853803/1644188192*c_1001_4^2 - 9400167049/3288376384*c_1001_4 - 48365245/411047048, c_0101_6 - 1, c_0101_7 - c_1001_4 + 1, c_1001_4^11 - 11/4*c_1001_4^10 + 21/4*c_1001_4^9 - 43/2*c_1001_4^8 + 42*c_1001_4^7 - 74*c_1001_4^6 + 231/2*c_1001_4^5 - 309/2*c_1001_4^4 + 181*c_1001_4^3 - 469/4*c_1001_4^2 + 157/4*c_1001_4 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB