Magma V2.19-8 Tue Aug 20 2013 23:58:17 on localhost [Seed = 1309157111] Type ? for help. Type -D to quit. Loading file "L14n39337__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39337 geometric_solution 11.73315328 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482266073070 0.772070420918 0 5 2 4 0132 0132 3201 3201 1 0 0 1 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 -2 2 0 0 0 0 0 1 -4 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587542240207 1.031839859150 1 0 7 6 2310 0132 0132 0132 0 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 1 0 -1 1 0 -1 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439340193828 0.814181214381 8 8 9 0 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864238442925 0.951285011929 5 1 0 8 0132 2310 0132 2031 0 0 0 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 -3 -1 4 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482266073070 0.772070420918 4 1 7 6 0132 0132 2310 2310 1 0 1 0 0 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 2 0 -2 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 0.439340193828 0.814181214381 5 10 2 11 3201 0132 0132 0132 0 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 -1 1 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 0.187950406215 0.783915503661 11 5 9 2 0132 3201 2310 0132 0 1 1 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 0 -1 1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187950406215 0.783915503661 3 4 3 10 0132 1302 0213 0213 0 0 0 0 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 4 -4 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476806136379 0.575890235930 11 7 10 3 3201 3201 1023 0132 0 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 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 0.232068737792 0.822609862094 11 6 9 8 1023 0132 1023 0213 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232068737792 0.822609862094 7 10 6 9 0132 1023 0132 2310 0 1 0 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 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 0.631271092938 1.840800523056 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : 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' : 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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_1010_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_1010_8'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_1010_8']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2/5*c_1010_8 + 2/5, c_0011_0 - 1, c_0011_10 + c_1001_2*c_1010_8 - c_1001_2, c_0011_3 - 1, c_0011_9 - c_1001_2*c_1010_8 + c_1001_2 + 1, c_0101_1 + c_1001_2 + c_1010_8 - 1, c_0101_10 + c_1010_8 - 1, c_0101_11 + 1/2*c_1010_8, c_0101_3 - 1, c_0101_5 - c_1001_2*c_1010_8 - c_1010_8 + 1, c_1001_0 - c_1001_2*c_1010_8 + 1, c_1001_2^2 + c_1001_2*c_1010_8 - c_1001_2 - 1/2*c_1010_8 + 1, c_1010_8^2 - 2*c_1010_8 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 520084597700095/185268645584*c_1010_8^8 - 835824144042231/92634322792*c_1010_8^7 - 4878304961052581/92634322792*c_1010_8^6 - 725610970917257/23158580698*c_1010_8^5 - 566352879514517/185268645584*c_1010_8^4 - 17676998244164365/92634322792*c_1010_8^3 - 25841396940671281/92634322792*c_1010_8^2 - 5830433215583973/46317161396*c_1010_8 - 537945812014957/23158580698, c_0011_0 - 1, c_0011_10 + 1232205885/4210651036*c_1010_8^8 + 909710534/1052662759*c_1010_8^7 + 5665649950/1052662759*c_1010_8^6 + 4435004211/2105325518*c_1010_8^5 + 7143462413/4210651036*c_1010_8^4 + 39163791583/2105325518*c_1010_8^3 + 53034142289/2105325518*c_1010_8^2 + 14875699064/1052662759*c_1010_8 + 3223307751/1052662759, c_0011_3 - 1, c_0011_9 + 1232205885/4210651036*c_1010_8^8 + 909710534/1052662759*c_1010_8^7 + 5665649950/1052662759*c_1010_8^6 + 4435004211/2105325518*c_1010_8^5 + 7143462413/4210651036*c_1010_8^4 + 39163791583/2105325518*c_1010_8^3 + 53034142289/2105325518*c_1010_8^2 + 14875699064/1052662759*c_1010_8 + 3223307751/1052662759, c_0101_1 - 6356358545/8421302072*c_1010_8^8 - 10182381831/4210651036*c_1010_8^7 - 29810500145/2105325518*c_1010_8^6 - 8741969904/1052662759*c_1010_8^5 - 9348963527/8421302072*c_1010_8^4 - 213571140179/4210651036*c_1010_8^3 - 158276243059/2105325518*c_1010_8^2 - 35205302623/1052662759*c_1010_8 - 5647117440/1052662759, c_0101_10 - 2239922145/8421302072*c_1010_8^8 - 1827508963/2105325518*c_1010_8^7 - 5306200361/1052662759*c_1010_8^6 - 6840740455/2105325518*c_1010_8^5 - 4904647339/8421302072*c_1010_8^4 - 38275294073/2105325518*c_1010_8^3 - 56375193905/2105325518*c_1010_8^2 - 14402109145/1052662759*c_1010_8 - 2921833926/1052662759, c_0101_11 - 317483745/2105325518*c_1010_8^8 - 1560018249/4210651036*c_1010_8^7 - 2745199039/1052662759*c_1010_8^6 + 157733869/1052662759*c_1010_8^5 - 1359847488/1052662759*c_1010_8^4 - 38503479907/4210651036*c_1010_8^3 - 18323339505/2105325518*c_1010_8^2 - 4513905801/1052662759*c_1010_8 - 410839501/1052662759, c_0101_3 + 5435715/2105325518*c_1010_8^8 - 411274331/2105325518*c_1010_8^7 - 774513343/2105325518*c_1010_8^6 - 3437389315/1052662759*c_1010_8^5 + 1765614461/1052662759*c_1010_8^4 - 2809935347/2105325518*c_1010_8^3 - 12577486740/1052662759*c_1010_8^2 - 6718081061/1052662759*c_1010_8 - 668201657/1052662759, c_0101_5 - 1221334455/4210651036*c_1010_8^8 - 2230695399/2105325518*c_1010_8^7 - 12105813243/2105325518*c_1010_8^6 - 11309782841/2105325518*c_1010_8^5 - 81004569/4210651036*c_1010_8^4 - 20986863465/1052662759*c_1010_8^3 - 78189115769/2105325518*c_1010_8^2 - 20541117366/1052662759*c_1010_8 - 2838846649/1052662759, c_1001_0 + 1221334455/4210651036*c_1010_8^8 + 2230695399/2105325518*c_1010_8^7 + 12105813243/2105325518*c_1010_8^6 + 11309782841/2105325518*c_1010_8^5 + 81004569/4210651036*c_1010_8^4 + 20986863465/1052662759*c_1010_8^3 + 78189115769/2105325518*c_1010_8^2 + 20541117366/1052662759*c_1010_8 + 2838846649/1052662759, c_1001_2 - 6356358545/8421302072*c_1010_8^8 - 10182381831/4210651036*c_1010_8^7 - 29810500145/2105325518*c_1010_8^6 - 8741969904/1052662759*c_1010_8^5 - 9348963527/8421302072*c_1010_8^4 - 213571140179/4210651036*c_1010_8^3 - 158276243059/2105325518*c_1010_8^2 - 35205302623/1052662759*c_1010_8 - 5647117440/1052662759, c_1010_8^9 + 18/5*c_1010_8^8 + 20*c_1010_8^7 + 92/5*c_1010_8^6 + 27/5*c_1010_8^5 + 342/5*c_1010_8^4 + 628/5*c_1010_8^3 + 416/5*c_1010_8^2 + 128/5*c_1010_8 + 16/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB