Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 458917846] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0353 geometric_solution 4.37662570 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.369601803932 1.584075687606 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.505781104926 0.112956198028 0 3 3 0 3201 0132 3201 0132 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 1 0 -1 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 -0.072050783016 0.404587312954 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 0 -1 1 -1 0 0 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 -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 -1.117151583261 1.131826474406 5 5 6 3 1230 1023 0132 0132 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 0 0 0 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 0.232649883086 1.215797193721 4 4 3 6 1023 3012 0132 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 1 0 0 -1 0 -1 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232649883086 1.215797193721 6 6 5 4 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160084090679 0.377862357473 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_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_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' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_1100_3'], 'c_1100_5' : d['c_1100_3'], 'c_1100_4' : d['c_1100_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_1100_3'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1100_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2986752555731/53943191168*c_1100_3^12 - 33679276694913/53943191168*c_1100_3^11 + 35927874386021/13485797792*c_1100_3^10 - 128862515512941/26971595584*c_1100_3^9 + 40011100789569/26971595584*c_1100_3^8 + 163271739486205/26971595584*c_1100_3^7 - 309209192250941/53943191168*c_1100_3^6 - 149567451011767/53943191168*c_1100_3^5 - 34143900938277/26971595584*c_1100_3^4 + 247713196033353/53943191168*c_1100_3^3 + 124620151408775/53943191168*c_1100_3^2 - 25250358736865/13485797792*c_1100_3 + 12380211299975/53943191168, c_0011_0 - 1, c_0011_2 - 71297881/3031879*c_1100_3^12 + 710292778/3031879*c_1100_3^11 - 2402645413/3031879*c_1100_3^10 + 1955775425/3031879*c_1100_3^9 + 4907473550/3031879*c_1100_3^8 - 8263925183/3031879*c_1100_3^7 - 2958587566/3031879*c_1100_3^6 + 10120050147/3031879*c_1100_3^5 + 8260996114/3031879*c_1100_3^4 - 1727235948/3031879*c_1100_3^3 - 9447623186/3031879*c_1100_3^2 - 3427260575/3031879*c_1100_3 + 1059769631/3031879, c_0011_4 - 2802547170/421431181*c_1100_3^12 + 27709584319/421431181*c_1100_3^11 - 92135524094/421431181*c_1100_3^10 + 67470965799/421431181*c_1100_3^9 + 208126915829/421431181*c_1100_3^8 - 325709776836/421431181*c_1100_3^7 - 139596428650/421431181*c_1100_3^6 + 412252149807/421431181*c_1100_3^5 + 339897193789/421431181*c_1100_3^4 - 58304349566/421431181*c_1100_3^3 - 386256103797/421431181*c_1100_3^2 - 148035311122/421431181*c_1100_3 + 44637495513/421431181, c_0011_6 - 7481216737/421431181*c_1100_3^12 + 74380543470/421431181*c_1100_3^11 - 250456830289/421431181*c_1100_3^10 + 198430828373/421431181*c_1100_3^9 + 526164520944/421431181*c_1100_3^8 - 868455926099/421431181*c_1100_3^7 - 326783232668/421431181*c_1100_3^6 + 1072980095645/421431181*c_1100_3^5 + 876846611912/421431181*c_1100_3^4 - 174681078257/421431181*c_1100_3^3 - 1002311849537/421431181*c_1100_3^2 - 368653875922/421431181*c_1100_3 + 113928991831/421431181, c_0101_0 - 2488911021/421431181*c_1100_3^12 + 24673671943/421431181*c_1100_3^11 - 82537523400/421431181*c_1100_3^10 + 62815070835/421431181*c_1100_3^9 + 180227983310/421431181*c_1100_3^8 - 289326859003/421431181*c_1100_3^7 - 116199039217/421431181*c_1100_3^6 + 361254424745/421431181*c_1100_3^5 + 296922962820/421431181*c_1100_3^4 - 54224505790/421431181*c_1100_3^3 - 338551093511/421431181*c_1100_3^2 - 127323341228/421431181*c_1100_3 + 38434509048/421431181, c_0101_1 + 6423085710/421431181*c_1100_3^12 - 63917220951/421431181*c_1100_3^11 + 215662637913/421431181*c_1100_3^10 - 172970675413/421431181*c_1100_3^9 - 447396170197/421431181*c_1100_3^8 + 745091182184/421431181*c_1100_3^7 + 274050328927/421431181*c_1100_3^6 - 916515480830/421431181*c_1100_3^5 - 749128291752/421431181*c_1100_3^4 + 152091076649/421431181*c_1100_3^3 + 856287262815/421431181*c_1100_3^2 + 313068387781/421431181*c_1100_3 - 96566384895/421431181, c_1100_3^13 - 11*c_1100_3^12 + 44*c_1100_3^11 - 62*c_1100_3^10 - 42*c_1100_3^9 + 190*c_1100_3^8 - 79*c_1100_3^7 - 189*c_1100_3^6 + 34*c_1100_3^5 + 147*c_1100_3^4 + 109*c_1100_3^3 - 92*c_1100_3^2 - 67*c_1100_3 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB