Magma V2.19-8 Tue Aug 20 2013 16:19:08 on localhost [Seed = 2210537214] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3266 geometric_solution 6.39221120 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 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 0.270008472469 0.913041574775 0 5 1 1 0132 0132 2031 1302 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312840912951 0.468759229447 3 0 6 5 0213 0132 0132 1023 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 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 1.702158045742 1.007161310393 2 6 6 0 0213 2031 1023 0132 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 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 0.487357787781 0.982323818041 4 4 0 5 1302 2031 0132 0132 0 0 0 0 0 -1 1 0 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 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 0.312840912951 0.468759229447 6 1 4 2 1230 0132 0132 1023 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270008472469 0.913041574775 3 5 3 2 1302 3012 1023 0132 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 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 0.417541967903 0.800092950456 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3/2*c_0101_5^8 - 117/16*c_0101_5^7 + 8*c_0101_5^6 + 1/16*c_0101_5^5 + 107/16*c_0101_5^4 - 165/16*c_0101_5^3 + 39/4*c_0101_5^2 - 31/16*c_0101_5 - 39/16, c_0011_0 - 1, c_0011_3 + 1/8*c_0101_5^8 - 1/8*c_0101_5^7 - 9/8*c_0101_5^6 + 1/4*c_0101_5^5 + 2*c_0101_5^4 + 15/8*c_0101_5^3 + 7/8*c_0101_5^2 + c_0101_5 + 9/8, c_0011_4 - 1/4*c_0101_5^8 + c_0101_5^7 - 1/2*c_0101_5^6 - 9/4*c_0101_5^4 + 1/4*c_0101_5^3 - 5/4*c_0101_5^2 - 1/4*c_0101_5 - 3/4, c_0011_6 - 1/4*c_0101_5^8 + 5/4*c_0101_5^7 - 5/4*c_0101_5^6 - c_0101_5^5 + 7/4*c_0101_5^3 + 1/4*c_0101_5^2 + 5/4, c_0101_0 - c_0101_5, c_0101_5^9 - 4*c_0101_5^8 + 2*c_0101_5^7 + c_0101_5^6 + 6*c_0101_5^5 - c_0101_5^4 + 6*c_0101_5^3 + 3*c_0101_5^2 + c_0101_5 + 1, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2340093749161/822178192*c_1100_0^11 + 1312932313683423/26309702144*c_1100_0^10 - 2786116430110063/13154851072*c_1100_0^9 + 6595237839455597/26309702144*c_1100_0^8 + 11590704875681901/26309702144*c_1100_0^7 - 20976888934001387/13154851072*c_1100_0^6 + 46382954044173663/26309702144*c_1100_0^5 - 8978513634711243/13154851072*c_1100_0^4 - 5362347387836467/26309702144*c_1100_0^3 + 6755086358079757/26309702144*c_1100_0^2 - 908834669432143/13154851072*c_1100_0 + 108186496970271/26309702144, c_0011_0 - 1, c_0011_3 - 433217824/4671467*c_1100_0^11 + 7498022271/4671467*c_1100_0^10 - 30604255710/4671467*c_1100_0^9 + 32205721943/4671467*c_1100_0^8 + 70977410517/4671467*c_1100_0^7 - 224843278394/4671467*c_1100_0^6 + 228044776507/4671467*c_1100_0^5 - 74403884116/4671467*c_1100_0^4 - 32585669387/4671467*c_1100_0^3 + 31294763051/4671467*c_1100_0^2 - 7531393602/4671467*c_1100_0 + 436552725/4671467, c_0011_4 - 862750304/4671467*c_1100_0^11 + 15161215429/4671467*c_1100_0^10 - 64801441093/4671467*c_1100_0^9 + 78478632434/4671467*c_1100_0^8 + 131050089156/4671467*c_1100_0^7 - 489814375276/4671467*c_1100_0^6 + 552955029818/4671467*c_1100_0^5 - 223057119951/4671467*c_1100_0^4 - 59435520665/4671467*c_1100_0^3 + 81746664263/4671467*c_1100_0^2 - 22721849479/4671467*c_1100_0 + 1373273861/4671467, c_0011_6 + 3012660096/4671467*c_1100_0^11 - 52792458756/4671467*c_1100_0^10 + 223751474148/4671467*c_1100_0^9 - 264419822200/4671467*c_1100_0^8 - 465204607568/4671467*c_1100_0^7 + 1683173093086/4671467*c_1100_0^6 - 1863250211574/4671467*c_1100_0^5 + 724923307626/4671467*c_1100_0^4 + 213236595112/4671467*c_1100_0^3 - 271877114110/4671467*c_1100_0^2 + 73555827294/4671467*c_1100_0 - 4382141988/4671467, c_0101_0 + 1679313600/4671467*c_1100_0^11 - 29545540346/4671467*c_1100_0^10 + 126676357619/4671467*c_1100_0^9 - 154277437812/4671467*c_1100_0^8 - 255287157201/4671467*c_1100_0^7 + 959357921921/4671467*c_1100_0^6 - 1084240821240/4671467*c_1100_0^5 + 436719043235/4671467*c_1100_0^4 + 117303249116/4671467*c_1100_0^3 - 160199818641/4671467*c_1100_0^2 + 44318682421/4671467*c_1100_0 - 2656105948/4671467, c_0101_5 - 1049454304/4671467*c_1100_0^11 + 18479311681/4671467*c_1100_0^10 - 79409545338/4671467*c_1100_0^9 + 97169286051/4671467*c_1100_0^8 + 159379806979/4671467*c_1100_0^7 - 602157383010/4671467*c_1100_0^6 + 682018685665/4671467*c_1100_0^5 - 275421120266/4671467*c_1100_0^4 - 73487164509/4671467*c_1100_0^3 + 100841658346/4671467*c_1100_0^2 - 27938888702/4671467*c_1100_0 + 1674642133/4671467, c_1100_0^12 - 583/32*c_1100_0^11 + 1383/16*c_1100_0^10 - 4453/32*c_1100_0^9 - 3013/32*c_1100_0^8 + 10659/16*c_1100_0^7 - 32135/32*c_1100_0^6 + 10659/16*c_1100_0^5 - 3013/32*c_1100_0^4 - 4453/32*c_1100_0^3 + 1383/16*c_1100_0^2 - 583/32*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB