Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 2033771966] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0242 geometric_solution 4.25840936 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 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 1 0 -1 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 -0.194790562293 0.193375661512 0 0 4 3 0132 2310 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 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814620489188 2.716613025836 0 0 5 5 2310 0132 2310 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 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 4.492657133223 1.311576168480 4 4 1 6 1023 2031 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 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 0.334499778918 0.611450985319 3 3 6 1 1302 1023 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334499778918 0.611450985319 5 2 2 5 3201 3201 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 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.457586744702 0.065427855581 4 6 3 6 2310 2310 0132 3201 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 -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 0.118168629913 0.843737608322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : 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_0011_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 184941458512345805228/5753859267530522511*c_0101_2^13 - 21248533297843087351/5753859267530522511*c_0101_2^12 + 728110239203729026681/5753859267530522511*c_0101_2^11 + 62954922832070396065/1917953089176840837*c_0101_2^10 - 18854322919169884483/94325561762795451*c_0101_2^9 - 396079643522603884300/1917953089176840837*c_0101_2^8 + 1038263637201906217907/5753859267530522511*c_0101_2^7 + 1102220326524216141245/1917953089176840837*c_0101_2^6 + 304369105025710753093/1917953089176840837*c_0101_2^5 - 632499319249722372511/1917953089176840837*c_0101_2^4 - 30274970512768981622/174359371743349167*c_0101_2^3 - 60556038500303040038/1917953089176840837*c_0101_2^2 - 18979224037815153481/639317696392280279*c_0101_2 - 60837324664226686888/5753859267530522511, c_0011_0 - 1, c_0011_3 + 203812056823930744/58119790581116389*c_0101_2^13 - 143666372214048870/58119790581116389*c_0101_2^12 - 705317837139887521/58119790581116389*c_0101_2^11 + 315887911745111092/58119790581116389*c_0101_2^10 + 18743428166408250/952783452149449*c_0101_2^9 + 515691440888863552/58119790581116389*c_0101_2^8 - 1776472766560009370/58119790581116389*c_0101_2^7 - 2496014184316286875/58119790581116389*c_0101_2^6 + 1012019955702838297/58119790581116389*c_0101_2^5 + 1998212236944833488/58119790581116389*c_0101_2^4 + 17812188054068242/58119790581116389*c_0101_2^3 - 156656897594237312/58119790581116389*c_0101_2^2 + 28267427336368899/58119790581116389*c_0101_2 - 35497193951225201/58119790581116389, c_0011_5 + 11906854776468428/58119790581116389*c_0101_2^13 - 13423157847199137/58119790581116389*c_0101_2^12 - 36907161205484869/58119790581116389*c_0101_2^11 + 40953544575069248/58119790581116389*c_0101_2^10 + 725636477435620/952783452149449*c_0101_2^9 - 9956576450193084/58119790581116389*c_0101_2^8 - 79002834966064782/58119790581116389*c_0101_2^7 - 85904311664356332/58119790581116389*c_0101_2^6 + 91741562110706029/58119790581116389*c_0101_2^5 + 19044384343858048/58119790581116389*c_0101_2^4 - 59293378926412488/58119790581116389*c_0101_2^3 + 131974555767657323/58119790581116389*c_0101_2^2 + 24072489428998991/58119790581116389*c_0101_2 - 37491559654526824/58119790581116389, c_0011_6 + 194596323646035472/58119790581116389*c_0101_2^13 - 42062714918828840/58119790581116389*c_0101_2^12 - 739896630873931795/58119790581116389*c_0101_2^11 + 382930121862198/58119790581116389*c_0101_2^10 + 19650071230694760/952783452149449*c_0101_2^9 + 961924484335313747/58119790581116389*c_0101_2^8 - 1376302224908819421/58119790581116389*c_0101_2^7 - 3125495044774683484/58119790581116389*c_0101_2^6 - 142156141295047426/58119790581116389*c_0101_2^5 + 2128159569831007516/58119790581116389*c_0101_2^4 + 714363816160557499/58119790581116389*c_0101_2^3 + 42114953961649486/58119790581116389*c_0101_2^2 + 67850885490885276/58119790581116389*c_0101_2 - 7026511120724571/58119790581116389, c_0101_0 - 55918033882824288/58119790581116389*c_0101_2^13 - 76063345989511788/58119790581116389*c_0101_2^12 + 216348452386930127/58119790581116389*c_0101_2^11 + 340760793986340241/58119790581116389*c_0101_2^10 - 4791576948187420/952783452149449*c_0101_2^9 - 824819138239203272/58119790581116389*c_0101_2^8 - 114139051533046833/58119790581116389*c_0101_2^7 + 1449833915932302540/58119790581116389*c_0101_2^6 + 1553994279731981344/58119790581116389*c_0101_2^5 - 315299391213568662/58119790581116389*c_0101_2^4 - 1181302735389066131/58119790581116389*c_0101_2^3 - 458811804391549145/58119790581116389*c_0101_2^2 - 87799038725799196/58119790581116389*c_0101_2 - 50067247683150704/58119790581116389, c_0101_1 + 192530155314835940/58119790581116389*c_0101_2^13 + 63729991954359977/58119790581116389*c_0101_2^12 - 722317078534495348/58119790581116389*c_0101_2^11 - 396285688252895996/58119790581116389*c_0101_2^10 + 17476964729266187/952783452149449*c_0101_2^9 + 1564738187150413250/58119790581116389*c_0101_2^8 - 657022890176202851/58119790581116389*c_0101_2^7 - 3634078731820056918/58119790581116389*c_0101_2^6 - 1997547011921189733/58119790581116389*c_0101_2^5 + 1496632219236690476/58119790581116389*c_0101_2^4 + 1693098782563075847/58119790581116389*c_0101_2^3 + 698768537650689003/58119790581116389*c_0101_2^2 + 235568698712302541/58119790581116389*c_0101_2 + 72192588228418979/58119790581116389, c_0101_2^14 + 11/28*c_0101_2^13 - 107/28*c_0101_2^12 - 9/4*c_0101_2^11 + 23/4*c_0101_2^10 + 117/14*c_0101_2^9 - 97/28*c_0101_2^8 - 135/7*c_0101_2^7 - 303/28*c_0101_2^6 + 33/4*c_0101_2^5 + 249/28*c_0101_2^4 + 93/28*c_0101_2^3 + 45/28*c_0101_2^2 + 1/2*c_0101_2 + 3/28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB