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Loading file "m032__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m032 geometric_solution 3.16396323 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 4 1 1 2 3 0132 1230 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 -1 1 0 0 0 0 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895123382260 1.552491820062 0 2 0 3 0132 3120 3012 1230 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 -1 1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721273588423 0.483419920186 3 1 3 0 1230 3120 2031 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173849793837 1.069071899876 1 2 0 2 3012 3012 0132 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.504108364151 1.226851637747 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0012_0'], 'c_1020_3' : d['c_0201_2'], 'c_1020_0' : d['c_0021_2'], 'c_1020_1' : d['c_0021_2'], 'c_0201_0' : d['c_0021_3'], 'c_0201_1' : d['c_0012_2'], 'c_0201_2' : d['c_0201_2'], 'c_0201_3' : d['c_0012_2'], 'c_2100_0' : d['c_0201_2'], 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0201_2'], 'c_2100_3' : d['c_0201_2'], 'c_2010_2' : d['c_0012_1'], 'c_2010_3' : d['c_0102_2'], 'c_2010_0' : d['c_0012_2'], 'c_2010_1' : d['c_0012_2'], 'c_0102_0' : d['c_0012_3'], 'c_0102_1' : d['c_0021_2'], 'c_0102_2' : d['c_0102_2'], 'c_0102_3' : d['c_0021_2'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_0'], 'c_1101_2' : d['c_1101_2'], 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0102_2'], 'c_1200_3' : d['c_0102_2'], 'c_1200_0' : d['c_0102_2'], 'c_1200_1' : d['c_0012_1'], 'c_1110_2' : d['c_1101_0'], 'c_1110_3' : d['c_1101_2'], 'c_1110_0' : d['c_1101_3'], 'c_1110_1' : d['c_0111_3'], 'c_0120_0' : d['c_0021_2'], 'c_0120_1' : d['c_0012_3'], 'c_0120_2' : d['c_0012_3'], 'c_0120_3' : d['c_0012_1'], 'c_2001_0' : d['c_0012_1'], 'c_2001_1' : d['c_0012_0'], 'c_2001_2' : d['c_0012_1'], 'c_2001_3' : d['c_0012_2'], 'c_0012_2' : d['c_0012_2'], 'c_0012_3' : d['c_0012_3'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']), 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0021_3'], 'c_0210_3' : d['c_0012_0'], 'c_0210_0' : d['c_0012_2'], 'c_0210_1' : d['c_0021_3'], 'c_1002_2' : d['c_0012_0'], 'c_1002_3' : d['c_0021_2'], 'c_1002_0' : d['c_0012_0'], 'c_1002_1' : d['c_0012_1'], 'c_1011_2' : negation(d['c_1011_1']), 'c_1011_3' : d['c_0111_2'], 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0021_2'], 'c_0021_3' : d['c_0021_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 41.860 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 81376865091/366745600000*c_1101_3^3 - 8224003671/208762880000*c_1101_3^2 - 7813191843619/13569587200000*c_1101_3 + 268009889883/542783488000, c_0012_0 - 1, c_0012_1 - 333/15200*c_1101_3^3 - 1713/3040*c_1101_3^2 - 2819/15200*c_1101_3 + 685/608, c_0012_2 + 43623/55100*c_1101_3^3 + 43467/44080*c_1101_3^2 - 114997/110200*c_1101_3 - 3773/8816, c_0012_3 + 275391/220400*c_1101_3^3 + 28173/22040*c_1101_3^2 + 65563/220400*c_1101_3 - 1393/1102, c_0021_2 - 32967/44080*c_1101_3^3 + 621/4408*c_1101_3^2 + 62349/44080*c_1101_3 + 385/2204, c_0021_3 + 100899/220400*c_1101_3^3 + 12879/44080*c_1101_3^2 + 295557/220400*c_1101_3 + 10261/8816, c_0102_2 + 999/15200*c_1101_3^3 + 5139/3040*c_1101_3^2 + 8457/15200*c_1101_3 - 839/608, c_0111_0 - 1, c_0111_2 - 100899/220400*c_1101_3^3 - 12879/44080*c_1101_3^2 + 35043/220400*c_1101_3 + 2963/8816, c_0111_3 + 266067/440800*c_1101_3^3 + 40017/88160*c_1101_3^2 - 329719/440800*c_1101_3 - 3649/17632, c_0201_2 + 333/7600*c_1101_3^3 + 1713/1520*c_1101_3^2 + 2819/7600*c_1101_3 + 227/304, c_1011_0 - 3663/22040*c_1101_3^3 + 69/2204*c_1101_3^2 - 419/22040*c_1101_3 - 447/1102, c_1011_1 - 27639/220400*c_1101_3^3 - 15639/44080*c_1101_3^2 + 43423/220400*c_1101_3 + 1299/8816, c_1101_0 + 119547/440800*c_1101_3^3 + 45537/88160*c_1101_3^2 + 94321/440800*c_1101_3 - 321/17632, c_1101_2 - 26973/440800*c_1101_3^3 + 51057/88160*c_1101_3^2 + 77561/440800*c_1101_3 - 14625/17632, c_1101_3^4 + 80/111*c_1101_3^3 - 406/333*c_1101_3^2 - 200/333*c_1101_3 + 625/333 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1908*c_1101_3^3 + 3776*c_1101_3^2 + 4513*c_1101_3 + 1138, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 + 2*c_1101_3^3 + 5*c_1101_3^2 + 5*c_1101_3 + 2, c_0012_3 + 4*c_1101_3^3 + 8*c_1101_3^2 + 7*c_1101_3 + 2, c_0021_2 + 2*c_1101_3^3 + 5*c_1101_3^2 + 5*c_1101_3 + 2, c_0021_3 + 4*c_1101_3^3 + 8*c_1101_3^2 + 7*c_1101_3 + 2, c_0102_2 - 2*c_1101_3^3 - 5*c_1101_3^2 - 3*c_1101_3 - 1, c_0111_0 - 1, c_0111_2 + 2*c_1101_3^3 + 3*c_1101_3^2 + 2*c_1101_3, c_0111_3 - 1, c_0201_2 - 2*c_1101_3^3 - 5*c_1101_3^2 - 3*c_1101_3 - 1, c_1011_0 - 2*c_1101_3^3 - 5*c_1101_3^2 - 6*c_1101_3 - 3, c_1011_1 + 2*c_1101_3^3 + 5*c_1101_3^2 + 6*c_1101_3 + 3, c_1101_0 + 2*c_1101_3^3 + 5*c_1101_3^2 + 5*c_1101_3 + 2, c_1101_2 + 2*c_1101_3^3 + 3*c_1101_3^2 + 3*c_1101_3 + 1, c_1101_3^4 + 5/2*c_1101_3^3 + 7/2*c_1101_3^2 + 2*c_1101_3 + 1/2 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 850465708653/9634866176*c_1101_3^5 + 117267539468705/279411119104*c_1101_3^4 + 87585488838073/209558339328*c_1101_3^3 + 867352976209729/838233357312*c_1101_3^2 + 34962260097913/26194792416*c_1101_3 + 29521685350855/52389584832, c_0012_0 - 1, c_0012_1 - 1, c_0012_2 + 632519/13557504*c_1101_3^5 + 1242109/4519168*c_1101_3^4 + 569393/1129792*c_1101_3^3 + 14980853/13557504*c_1101_3^2 + 1221611/564896*c_1101_3 + 413293/847344, c_0012_3 + 812203/13557504*c_1101_3^5 + 4467931/13557504*c_1101_3^4 + 1650487/3389376*c_1101_3^3 + 1178123/4519168*c_1101_3^2 - 1285147/1694688*c_1101_3 - 702535/847344, c_0021_2 + 143869/3389376*c_1101_3^5 + 127423/1129792*c_1101_3^4 - 19713/282448*c_1101_3^3 + 1801111/3389376*c_1101_3^2 - 196761/141224*c_1101_3 - 86965/211836, c_0021_3 - 86449/211836*c_1101_3^5 - 1373983/847344*c_1101_3^4 - 617935/847344*c_1101_3^3 - 280853/70612*c_1101_3^2 - 586177/847344*c_1101_3 - 413429/211836, c_0102_2 - 768181/4519168*c_1101_3^5 - 2334997/4519168*c_1101_3^4 + 707331/1129792*c_1101_3^3 - 2006271/4519168*c_1101_3^2 + 49967/564896*c_1101_3 - 176899/282448, c_0111_0 - 1, c_0111_2 + 78909/4519168*c_1101_3^5 + 2938855/13557504*c_1101_3^4 + 1887043/3389376*c_1101_3^3 - 3670075/13557504*c_1101_3^2 + 1075985/1694688*c_1101_3 - 118225/282448, c_0111_3 - 249429/4519168*c_1101_3^5 - 1306351/13557504*c_1101_3^4 + 963653/3389376*c_1101_3^3 - 7013789/13557504*c_1101_3^2 + 2332351/1694688*c_1101_3 - 43271/282448, c_0201_2 - 768181/4519168*c_1101_3^5 - 2334997/4519168*c_1101_3^4 + 707331/1129792*c_1101_3^3 - 2006271/4519168*c_1101_3^2 + 49967/564896*c_1101_3 - 176899/282448, c_1011_0 - 143869/3389376*c_1101_3^5 - 127423/1129792*c_1101_3^4 + 19713/282448*c_1101_3^3 - 1801111/3389376*c_1101_3^2 + 55537/141224*c_1101_3 - 124871/211836, c_1011_1 + 143869/3389376*c_1101_3^5 + 127423/1129792*c_1101_3^4 - 19713/282448*c_1101_3^3 + 1801111/3389376*c_1101_3^2 - 55537/141224*c_1101_3 + 124871/211836, c_1101_0 - 172811/13557504*c_1101_3^5 + 222725/13557504*c_1101_3^4 + 727097/3389376*c_1101_3^3 + 190655/13557504*c_1101_3^2 - 28781/1694688*c_1101_3 + 369671/847344, c_1101_2 - 336487/3389376*c_1101_3^5 - 348793/1129792*c_1101_3^4 + 45047/211836*c_1101_3^3 - 1364693/3389376*c_1101_3^2 + 58207/847344*c_1101_3 + 2859/17653, c_1101_3^6 + 97/29*c_1101_3^5 - 8/29*c_1101_3^4 + 327/29*c_1101_3^3 - 12/29*c_1101_3^2 + 80/29*c_1101_3 - 64/29 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0012_2, c_0012_3, c_0021_2, c_0021_3, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_2, c_1011_0, c_1011_1, c_1101_0, c_1101_2, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 84680665995520611635018690455/1521939962078578345283584*c_1101_3^11 + 152478136783169506001041584140361/1961780611119287487070539776*c_\ 1101_3^10 - 395741285350810540703123708856227/588534183335786246121\ 1619328*c_1101_3^9 + 5644207126734164013385857692981/18984973655993\ 1047135858688*c_1101_3^8 + 770234713060439238046012331563/245222576\ 389910935883817472*c_1101_3^7 - 37803893893398244547026326649069/29\ 42670916678931230605809664*c_1101_3^6 - 29073302140915008900029453643857/5885341833357862461211619328*c_110\ 1_3^5 + 1144550423333913629941109881843/189849736559931047135858688\ *c_1101_3^4 - 708112843784177530875894441065/2452225763899109358838\ 17472*c_1101_3^3 + 145409291673843057892846191863/49044515277982187\ 1767634944*c_1101_3^2 - 155440603827676636687910389555/588534183335\ 7862461211619328*c_1101_3 - 302708420450550553843763425649/58853418\ 33357862461211619328, c_0012_0 - 1, c_0012_1 - 122782116954149284145/510066318636647648*c_1101_3^11 + 108689675441949573965/510066318636647648*c_1101_3^10 - 67821548119439904319/510066318636647648*c_1101_3^9 + 633430992554804783/16453752214085408*c_1101_3^8 + 2926950567274500605/127516579659161912*c_1101_3^7 - 4086775472342249859/255033159318323824*c_1101_3^6 - 26407418508911889413/510066318636647648*c_1101_3^5 + 39216460670607849/16453752214085408*c_1101_3^4 + 957485384065648969/127516579659161912*c_1101_3^3 + 113081596480802965/31879144914790478*c_1101_3^2 - 1010323245021024603/510066318636647648*c_1101_3 + 31263239080346025/510066318636647648, c_0012_2 + 13331016382203522743/510066318636647648*c_1101_3^11 + 53245951026398595453/510066318636647648*c_1101_3^10 - 57016368198437722071/510066318636647648*c_1101_3^9 + 1273336724648643519/16453752214085408*c_1101_3^8 - 2167665974984760053/127516579659161912*c_1101_3^7 - 6709601687180109291/255033159318323824*c_1101_3^6 + 13989944100320989627/510066318636647648*c_1101_3^5 + 366402947799049281/16453752214085408*c_1101_3^4 - 822987721899194045/127516579659161912*c_1101_3^3 - 27378537497199355/63758289829580956*c_1101_3^2 + 451981484303970469/510066318636647648*c_1101_3 + 24158911252724585/510066318636647648, c_0012_3 - 136625916100641852949/510066318636647648*c_1101_3^11 + 91106601574268894277/510066318636647648*c_1101_3^10 - 38020175269758585787/510066318636647648*c_1101_3^9 - 688900258756965433/16453752214085408*c_1101_3^8 + 8706356240710065265/127516579659161912*c_1101_3^7 - 5950451112046058935/255033159318323824*c_1101_3^6 - 37122711023248676345/510066318636647648*c_1101_3^5 + 58088176145494937/16453752214085408*c_1101_3^4 + 684343216050078815/127516579659161912*c_1101_3^3 - 132653711380302189/63758289829580956*c_1101_3^2 - 1059651342893914311/510066318636647648*c_1101_3 - 253382425004061503/510066318636647648, c_0021_2 + 13331016382203522743/510066318636647648*c_1101_3^11 + 53245951026398595453/510066318636647648*c_1101_3^10 - 57016368198437722071/510066318636647648*c_1101_3^9 + 1273336724648643519/16453752214085408*c_1101_3^8 - 2167665974984760053/127516579659161912*c_1101_3^7 - 6709601687180109291/255033159318323824*c_1101_3^6 + 13989944100320989627/510066318636647648*c_1101_3^5 + 366402947799049281/16453752214085408*c_1101_3^4 - 822987721899194045/127516579659161912*c_1101_3^3 - 27378537497199355/63758289829580956*c_1101_3^2 + 451981484303970469/510066318636647648*c_1101_3 + 24158911252724585/510066318636647648, c_0021_3 - 31382925939602025543/127516579659161912*c_1101_3^11 + 5468520610936612907/63758289829580956*c_1101_3^10 - 8167816096656350503/127516579659161912*c_1101_3^9 - 3843988008108933/514179756690169*c_1101_3^8 + 1871330251598008149/63758289829580956*c_1101_3^7 + 37892030678894139/63758289829580956*c_1101_3^6 - 7203651336030573543/127516579659161912*c_1101_3^5 - 26574607969786625/1028359513380338*c_1101_3^4 - 70334037078374275/63758289829580956*c_1101_3^3 + 126992975408957491/31879144914790478*c_1101_3^2 - 106479239137912557/127516579659161912*c_1101_3 - 35612404704989725/63758289829580956, c_0102_2 - 4663628601455099435/16453752214085408*c_1101_3^11 + 5033973363285982343/16453752214085408*c_1101_3^10 - 2394840986093394373/16453752214085408*c_1101_3^9 - 9207904394353307/530766200454368*c_1101_3^8 + 433953100409464703/4113438053521352*c_1101_3^7 - 548738346605860321/8226876107042704*c_1101_3^6 - 960480949044781119/16453752214085408*c_1101_3^5 + 17170329855419355/530766200454368*c_1101_3^4 + 35676348409451699/4113438053521352*c_1101_3^3 - 2582273620311686/514179756690169*c_1101_3^2 - 4288234115424401/16453752214085408*c_1101_3 + 5651919551518883/16453752214085408, c_0111_0 - 1, c_0111_2 - 11836242962449746521/255033159318323824*c_1101_3^11 + 13394002112592596205/255033159318323824*c_1101_3^10 - 9010030548159182743/255033159318323824*c_1101_3^9 - 2560460559166913/8226876107042704*c_1101_3^8 + 1380429950889288509/63758289829580956*c_1101_3^7 - 2053943308134901879/127516579659161912*c_1101_3^6 - 1176837780204094285/255033159318323824*c_1101_3^5 + 29305792057789905/8226876107042704*c_1101_3^4 + 18291276749212459/63758289829580956*c_1101_3^3 - 78092167395288837/31879144914790478*c_1101_3^2 + 344870423366862277/255033159318323824*c_1101_3 + 97722682635860881/255033159318323824, c_0111_3 - 56469840249098335167/255033159318323824*c_1101_3^11 + 47047833731673764001/255033159318323824*c_1101_3^10 - 15910037465319989217/255033159318323824*c_1101_3^9 - 516059016870146505/8226876107042704*c_1101_3^8 + 3346812470814573953/31879144914790478*c_1101_3^7 - 6793671216303840339/127516579659161912*c_1101_3^6 - 12962833652878074515/255033159318323824*c_1101_3^5 + 129173572151333137/8226876107042704*c_1101_3^4 + 121328839321197241/15939572457395239*c_1101_3^3 - 432288191134462135/63758289829580956*c_1101_3^2 + 194861671245757727/255033159318323824*c_1101_3 + 124554534069519901/255033159318323824, c_0201_2 + 71670761990483284747/255033159318323824*c_1101_3^11 - 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323/1289*c_1101_3^8 + 202/1289*c_1101_3^7 + 279/1289*c_1101_3^6 - 72/1289*c_1101_3^5 - 5/1289*c_1101_3^4 + 20/1289*c_1101_3^3 + 3/1289*c_1101_3^2 + 1/1289 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 41.860 Total time: 42.060 seconds, Total memory usage: 150.69MB