Magma V2.19-8 Tue Aug 20 2013 23:46:08 on localhost [Seed = 2530278549] Type ? for help. Type -D to quit. Loading file "K14n13683__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n13683 geometric_solution 10.45604885 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864541673892 0.745876132683 0 4 0 5 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336887659101 0.572094652346 6 7 8 0 0132 0132 0132 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 1 -1 0 0 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462951853825 0.646147439519 5 7 0 6 0132 1023 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 -1 1 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900519246628 1.017095643073 5 1 8 7 3012 0132 3012 0132 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 -1 0 0 1 19 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123377446935 1.145600970551 3 9 1 4 0132 0132 0132 1230 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 -1 0 0 1 0 19 0 -19 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116730196874 1.828320206356 2 9 3 10 0132 1023 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 1 -1 -19 19 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338541326265 0.163840520802 3 2 4 9 1023 0132 0132 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 0 0 0 19 0 -19 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431778468932 0.654574637770 10 4 11 2 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 0 0 0 0 0 0 -19 19 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575499574076 0.418309716656 6 5 7 11 1023 0132 0132 2031 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 -19 -1 0 20 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048452248194 1.713298084248 8 11 6 11 0132 1023 0132 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 1 -1 0 0 0 1 -1 1 0 0 -1 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383948528711 1.698123187639 10 9 10 8 1023 1302 0132 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 -1 0 1 0 0 0 0 0 19 -20 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383948528711 1.698123187639 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_4'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_1100_0'], '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' : 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_2']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0101_0, c_0101_10, c_0101_11, c_0101_4, c_0101_7, c_0101_9, c_1001_0, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1469383033923859739/2778943735302436*c_1100_0^15 - 538012159007232085/694735933825609*c_1100_0^14 + 50959710319128437155/2778943735302436*c_1100_0^13 - 125056666487069638871/2778943735302436*c_1100_0^12 + 43919882380718226496/694735933825609*c_1100_0^11 - 187231907742290894827/2778943735302436*c_1100_0^10 + 185222865359337513431/2778943735302436*c_1100_0^9 - 116370074343265774367/1389471867651218*c_1100_0^8 + 251927493049085600517/2778943735302436*c_1100_0^7 - 203527785101438547001/2778943735302436*c_1100_0^6 + 4526184046014747699/106882451357786*c_1100_0^5 - 4183261939025536165/213764902715572*c_1100_0^4 + 35400334826834061459/2778943735302436*c_1100_0^3 - 429119342777628830/53441225678893*c_1100_0^2 + 13259800305067057513/2778943735302436*c_1100_0 - 794085575822882114/694735933825609, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_2 - 3336562585825/8221727027522*c_1100_0^15 + 1650059831350/4110863513761*c_1100_0^14 - 113579529473353/8221727027522*c_1100_0^13 + 114411330233876/4110863513761*c_1100_0^12 - 135156424414257/4110863513761*c_1100_0^11 + 238266820411515/8221727027522*c_1100_0^10 - 111606635104344/4110863513761*c_1100_0^9 + 171292622247287/4110863513761*c_1100_0^8 - 316159617493793/8221727027522*c_1100_0^7 + 98174203909143/4110863513761*c_1100_0^6 - 26684638949022/4110863513761*c_1100_0^5 + 4884791094731/8221727027522*c_1100_0^4 - 14457239075837/4110863513761*c_1100_0^3 + 1252826397989/4110863513761*c_1100_0^2 - 10498377847589/8221727027522*c_1100_0 - 332625463533/8221727027522, c_0101_0 + 5229250374027/8221727027522*c_1100_0^15 - 1569785506299/4110863513761*c_1100_0^14 + 88038244221325/4110863513761*c_1100_0^13 - 290795347160287/8221727027522*c_1100_0^12 + 143734293661139/4110863513761*c_1100_0^11 - 128345387073291/4110863513761*c_1100_0^10 + 275952157590521/8221727027522*c_1100_0^9 - 222365031961340/4110863513761*c_1100_0^8 + 183622183071069/4110863513761*c_1100_0^7 - 175053616752361/8221727027522*c_1100_0^6 + 28882156052494/4110863513761*c_1100_0^5 - 22924467373838/4110863513761*c_1100_0^4 + 62061377203533/8221727027522*c_1100_0^3 - 9151568383984/4110863513761*c_1100_0^2 + 3698283208865/4110863513761*c_1100_0 + 3729338453576/4110863513761, c_0101_10 + 2015102705524/4110863513761*c_1100_0^15 - 2965081433689/8221727027522*c_1100_0^14 + 136428401251877/8221727027522*c_1100_0^13 - 241620959013255/8221727027522*c_1100_0^12 + 264815847310615/8221727027522*c_1100_0^11 - 212893803939981/8221727027522*c_1100_0^10 + 206206520000115/8221727027522*c_1100_0^9 - 336477430195155/8221727027522*c_1100_0^8 + 288964940987861/8221727027522*c_1100_0^7 - 143527578167265/8221727027522*c_1100_0^6 - 5358733272335/8221727027522*c_1100_0^5 + 16164478504185/8221727027522*c_1100_0^4 + 20627458785423/8221727027522*c_1100_0^3 + 2505023962523/8221727027522*c_1100_0^2 + 2154043123029/8221727027522*c_1100_0 + 6697759120461/8221727027522, c_0101_11 + 3041811886449/8221727027522*c_1100_0^15 - 521972147375/4110863513761*c_1100_0^14 + 102400675132923/8221727027522*c_1100_0^13 - 142917925233997/8221727027522*c_1100_0^12 + 69196109989070/4110863513761*c_1100_0^11 - 125713796179385/8221727027522*c_1100_0^10 + 126939121066749/8221727027522*c_1100_0^9 - 109060477217873/4110863513761*c_1100_0^8 + 142908511860389/8221727027522*c_1100_0^7 - 60546258150061/8221727027522*c_1100_0^6 + 2141050417755/4110863513761*c_1100_0^5 + 9025281161435/8221727027522*c_1100_0^4 + 14609092885167/8221727027522*c_1100_0^3 + 5200557237007/4110863513761*c_1100_0^2 + 2750651328271/8221727027522*c_1100_0 + 3286491837099/4110863513761, c_0101_4 + 1054933738068/4110863513761*c_1100_0^15 - 3911395774231/8221727027522*c_1100_0^14 + 71977342940433/8221727027522*c_1100_0^13 - 205093855882585/8221727027522*c_1100_0^12 + 240143162750949/8221727027522*c_1100_0^11 - 182510135783795/8221727027522*c_1100_0^10 + 142378257185885/8221727027522*c_1100_0^9 - 220611400435205/8221727027522*c_1100_0^8 + 278347022023453/8221727027522*c_1100_0^7 - 142002619183239/8221727027522*c_1100_0^6 - 25354926002277/8221727027522*c_1100_0^5 + 57270077432825/8221727027522*c_1100_0^4 - 1701665892999/8221727027522*c_1100_0^3 - 21148819647259/8221727027522*c_1100_0^2 + 4061594874977/8221727027522*c_1100_0 + 10056519771787/8221727027522, c_0101_7 + 2162220063349/8221727027522*c_1100_0^15 - 627128082932/4110863513761*c_1100_0^14 + 36558301580632/4110863513761*c_1100_0^13 - 59225630581618/4110863513761*c_1100_0^12 + 63732432369811/4110863513761*c_1100_0^11 - 52893072181583/4110863513761*c_1100_0^10 + 50325244670632/4110863513761*c_1100_0^9 - 93746674416856/4110863513761*c_1100_0^8 + 71218641156155/4110863513761*c_1100_0^7 - 40944415812780/4110863513761*c_1100_0^6 + 2902304977887/4110863513761*c_1100_0^5 - 921351888093/4110863513761*c_1100_0^4 + 17159084304597/4110863513761*c_1100_0^3 - 2505470048230/4110863513761*c_1100_0^2 + 1901351282226/4110863513761*c_1100_0 + 9854150796263/8221727027522, c_0101_9 + 1062888570112/4110863513761*c_1100_0^15 - 1390657721167/8221727027522*c_1100_0^14 + 71716445207091/8221727027522*c_1100_0^13 - 60919551562875/4110863513761*c_1100_0^12 + 125499178971737/8221727027522*c_1100_0^11 - 105449721321579/8221727027522*c_1100_0^10 + 54789737626669/4110863513761*c_1100_0^9 - 176669832916655/8221727027522*c_1100_0^8 + 141928497566921/8221727027522*c_1100_0^7 - 40936554075202/4110863513761*c_1100_0^6 + 10689401050505/8221727027522*c_1100_0^5 - 7401243827085/8221727027522*c_1100_0^4 + 11738785530936/4110863513761*c_1100_0^3 - 8836192772399/8221727027522*c_1100_0^2 + 18364929300091/8221727027522*c_1100_0 + 3258794105219/4110863513761, c_1001_0 + 2162220063349/8221727027522*c_1100_0^15 - 627128082932/4110863513761*c_1100_0^14 + 36558301580632/4110863513761*c_1100_0^13 - 59225630581618/4110863513761*c_1100_0^12 + 63732432369811/4110863513761*c_1100_0^11 - 52893072181583/4110863513761*c_1100_0^10 + 50325244670632/4110863513761*c_1100_0^9 - 93746674416856/4110863513761*c_1100_0^8 + 71218641156155/4110863513761*c_1100_0^7 - 40944415812780/4110863513761*c_1100_0^6 + 2902304977887/4110863513761*c_1100_0^5 - 921351888093/4110863513761*c_1100_0^4 + 17159084304597/4110863513761*c_1100_0^3 - 2505470048230/4110863513761*c_1100_0^2 + 1901351282226/4110863513761*c_1100_0 + 9854150796263/8221727027522, c_1001_8 + 2015102705524/4110863513761*c_1100_0^15 - 2965081433689/8221727027522*c_1100_0^14 + 136428401251877/8221727027522*c_1100_0^13 - 241620959013255/8221727027522*c_1100_0^12 + 264815847310615/8221727027522*c_1100_0^11 - 212893803939981/8221727027522*c_1100_0^10 + 206206520000115/8221727027522*c_1100_0^9 - 336477430195155/8221727027522*c_1100_0^8 + 288964940987861/8221727027522*c_1100_0^7 - 143527578167265/8221727027522*c_1100_0^6 - 5358733272335/8221727027522*c_1100_0^5 + 16164478504185/8221727027522*c_1100_0^4 + 20627458785423/8221727027522*c_1100_0^3 + 2505023962523/8221727027522*c_1100_0^2 + 2154043123029/8221727027522*c_1100_0 + 6697759120461/8221727027522, c_1100_0^16 - c_1100_0^15 + 34*c_1100_0^14 - 69*c_1100_0^13 + 80*c_1100_0^12 - 72*c_1100_0^11 + 67*c_1100_0^10 - 100*c_1100_0^9 + 98*c_1100_0^8 - 59*c_1100_0^7 + 16*c_1100_0^6 + 7*c_1100_0^4 - 4*c_1100_0^3 + 2*c_1100_0^2 + 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.670 seconds, Total memory usage: 32.09MB