Magma V2.19-8 Tue Aug 20 2013 23:39:38 on localhost [Seed = 1831536940] Type ? for help. Type -D to quit. Loading file "K14n12312__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12312 geometric_solution 10.38062448 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -6 7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513008772684 0.772193538474 0 5 3 6 0132 0132 1023 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 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513008772684 0.772193538474 7 0 3 6 0132 0132 2103 3120 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 0 1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019952157016 1.469754853188 2 8 1 0 2103 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429070611336 0.412278370553 8 5 0 9 3012 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.754432397027 0.753699339498 8 1 4 10 0213 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 6 0 -6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886608057658 0.853919699407 2 7 1 9 3120 1230 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 0 0 0 -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 -0.282845880000 1.369436380571 2 8 6 10 0132 0213 3012 2031 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 1 0 0 -1 -7 0 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666895139990 0.792284118893 5 3 7 4 0213 0132 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0.297532954133 1.449158243305 10 10 4 6 0213 2310 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 0 1 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719955089449 1.095932131817 9 7 5 9 0213 1302 0132 3201 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 -1 0 1 0 0 0 0 0 1 -7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218871884549 0.856536655343 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_7'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), '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_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_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_1'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0110_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0011_10'], 'c_0101_8' : d['c_0011_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1064047339742380472/13112656177496887*c_1100_0^11 - 1138965835983203208/13112656177496887*c_1100_0^10 - 4335826113997923553/13112656177496887*c_1100_0^9 + 2487337038129679929/1192059652499717*c_1100_0^8 + 35978436844578300187/13112656177496887*c_1100_0^7 + 178087612756502002525/13112656177496887*c_1100_0^6 + 15708782205092486529/13112656177496887*c_1100_0^5 - 95820824490723079236/13112656177496887*c_1100_0^4 + 145371018303854761128/13112656177496887*c_1100_0^3 - 235532666839042004532/13112656177496887*c_1100_0^2 + 204631672323181182609/13112656177496887*c_1100_0 - 14261452249791910022/13112656177496887, c_0011_0 - 1, c_0011_10 - 217426199514912/1192059652499717*c_1100_0^11 - 232196520290671/1192059652499717*c_1100_0^10 - 881150462702183/1192059652499717*c_1100_0^9 + 5598600882383803/1192059652499717*c_1100_0^8 + 7353053121224422/1192059652499717*c_1100_0^7 + 36262768328248853/1192059652499717*c_1100_0^6 + 2933547913770014/1192059652499717*c_1100_0^5 - 20299288656326808/1192059652499717*c_1100_0^4 + 29695851558820607/1192059652499717*c_1100_0^3 - 47172396501449928/1192059652499717*c_1100_0^2 + 42531219972637238/1192059652499717*c_1100_0 - 2446891187880953/1192059652499717, c_0011_3 - 1, c_0011_4 - 138843078279747/1192059652499717*c_1100_0^11 - 158606064138157/1192059652499717*c_1100_0^10 - 573435872402630/1192059652499717*c_1100_0^9 + 3529232114686136/1192059652499717*c_1100_0^8 + 4961475128219744/1192059652499717*c_1100_0^7 + 23477524315553789/1192059652499717*c_1100_0^6 + 3719622389655929/1192059652499717*c_1100_0^5 - 12794081681874597/1192059652499717*c_1100_0^4 + 18856275477385600/1192059652499717*c_1100_0^3 - 29476671767877859/1192059652499717*c_1100_0^2 + 24751354506256995/1192059652499717*c_1100_0 - 883140514290762/1192059652499717, c_0011_6 - 449984180239787/1192059652499717*c_1100_0^11 - 480223086443827/1192059652499717*c_1100_0^10 - 1828615702600843/1192059652499717*c_1100_0^9 + 11585899689239676/1192059652499717*c_1100_0^8 + 15201390189286790/1192059652499717*c_1100_0^7 + 75205409213736815/1192059652499717*c_1100_0^6 + 6174354721113818/1192059652499717*c_1100_0^5 - 41396098711577250/1192059652499717*c_1100_0^4 + 60393894149357964/1192059652499717*c_1100_0^3 - 100525688064431101/1192059652499717*c_1100_0^2 + 85826917962868027/1192059652499717*c_1100_0 - 5984158484610615/1192059652499717, c_0101_0 + 375486013183716/1192059652499717*c_1100_0^11 + 404354471052841/1192059652499717*c_1100_0^10 + 1532702770562175/1192059652499717*c_1100_0^9 - 9650985588249541/1192059652499717*c_1100_0^8 - 12767824185272974/1192059652499717*c_1100_0^7 - 62958038813845265/1192059652499717*c_1100_0^6 - 5803484013818712/1192059652499717*c_1100_0^5 + 34018048351201331/1192059652499717*c_1100_0^4 - 49898684986283937/1192059652499717*c_1100_0^3 + 83277275496633771/1192059652499717*c_1100_0^2 - 72021884089279437/1192059652499717*c_1100_0 + 4778925093990934/1192059652499717, c_0101_1 - 47019092942247/1192059652499717*c_1100_0^11 - 48781689833319/1192059652499717*c_1100_0^10 - 192338019626417/1192059652499717*c_1100_0^9 + 1208091951248251/1192059652499717*c_1100_0^8 + 1537674980116660/1192059652499717*c_1100_0^7 + 7856020886031708/1192059652499717*c_1100_0^6 + 656614194247404/1192059652499717*c_1100_0^5 - 3764377777353422/1192059652499717*c_1100_0^4 + 7454387800269017/1192059652499717*c_1100_0^3 - 11598709442568912/1192059652499717*c_1100_0^2 + 9614093215822917/1192059652499717*c_1100_0 - 1608955631652252/1192059652499717, c_0101_2 - 124277092088534/1192059652499717*c_1100_0^11 - 126242361308333/1192059652499717*c_1100_0^10 - 498365036247620/1192059652499717*c_1100_0^9 + 3218080324110108/1192059652499717*c_1100_0^8 + 4033369434405280/1192059652499717*c_1100_0^7 + 20536443952457873/1192059652499717*c_1100_0^6 + 865690078738175/1192059652499717*c_1100_0^5 - 11482599179638421/1192059652499717*c_1100_0^4 + 18329433171497730/1192059652499717*c_1100_0^3 - 29775150759645776/1192059652499717*c_1100_0^2 + 25393600813509468/1192059652499717*c_1100_0 - 2475835791044574/1192059652499717, c_0101_7 - 69148413905197/1192059652499717*c_1100_0^11 - 77047195739264/1192059652499717*c_1100_0^10 - 285432193636353/1192059652499717*c_1100_0^9 + 1766944041298949/1192059652499717*c_1100_0^8 + 2423177332326509/1192059652499717*c_1100_0^7 + 11696088665389862/1192059652499717*c_1100_0^6 + 1514648829233159/1192059652499717*c_1100_0^5 - 6360237489128151/1192059652499717*c_1100_0^4 + 8803377056359816/1192059652499717*c_1100_0^3 - 15988436609626731/1192059652499717*c_1100_0^2 + 13312520758689896/1192059652499717*c_1100_0 - 1096595413915117/1192059652499717, c_1001_5 + 312624030327298/1192059652499717*c_1100_0^11 + 336105226051508/1192059652499717*c_1100_0^10 + 1278184641674051/1192059652499717*c_1100_0^9 - 8031793198897146/1192059652499717*c_1100_0^8 - 10597659166167823/1192059652499717*c_1100_0^7 - 52445055492920427/1192059652499717*c_1100_0^6 - 4885900264978528/1192059652499717*c_1100_0^5 + 27712935155904285/1192059652499717*c_1100_0^4 - 42478469869118591/1192059652499717*c_1100_0^3 + 68558625581803443/1192059652499717*c_1100_0^2 - 60869048446705855/1192059652499717*c_1100_0 + 3654044981670086/1192059652499717, c_1100_0^12 + c_1100_0^11 + 4*c_1100_0^10 - 26*c_1100_0^9 - 32*c_1100_0^8 - 165*c_1100_0^7 - 3*c_1100_0^6 + 91*c_1100_0^5 - 143*c_1100_0^4 + 231*c_1100_0^3 - 208*c_1100_0^2 + 27*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.530 seconds, Total memory usage: 32.09MB