Magma V2.19-8 Wed Aug 21 2013 00:57:44 on localhost [Seed = 3549809003] Type ? for help. Type -D to quit. Loading file "L13n4429__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4429 geometric_solution 11.55692318 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 -1 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 0.492108523357 0.891360613690 0 5 4 6 0132 0132 3012 0132 1 1 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 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 0.482567540613 0.846916553888 7 0 9 8 0132 0132 0132 0132 1 1 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 0 0 0 1 -1 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 0.183408479833 1.061703237604 10 10 5 0 0132 1302 2031 0132 1 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 0 0 0 0 0 1 -1 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 0.192509071678 0.713929776595 4 1 0 4 3012 1230 0132 1230 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.525310008657 0.859810269309 11 1 11 3 0132 0132 3120 1302 1 0 1 1 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 -3 0 4 -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 0.647906454095 1.305756993048 12 9 1 9 0132 1230 0132 2031 1 1 1 1 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 -1 -5 0 6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181217649977 1.199328040919 2 11 12 8 0132 0132 2310 0213 1 1 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 0 0 0 0 0 0 -1 0 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 0.376634480796 0.227723417089 9 12 2 7 0213 1230 0132 0213 1 1 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418503255025 0.265252379397 8 6 6 2 0213 1302 3012 0132 1 1 1 1 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 0 0 0 0 0 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876825549186 0.815188657423 3 11 12 3 0132 2310 0132 2031 1 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 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 0.695071864168 0.614536316506 5 7 5 10 0132 0132 3120 3201 1 0 1 1 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 3 0 -4 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 0.647906454095 1.305756993048 6 7 8 10 0132 3201 3012 0132 1 1 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 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 0.876825549186 0.815188657423 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_0'], '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_12' : 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' : 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_1001_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_12'], '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'], 'c_1100_12' : negation(d['c_1001_0']), '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' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), '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_8'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_10, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 974981218526312527/244297575569230432*c_1001_2^13 + 2782509067351844731/122148787784615216*c_1001_2^12 + 1404924904205328629/244297575569230432*c_1001_2^11 - 1331153126240631669/7634299236538451*c_1001_2^10 - 48261994754927957345/244297575569230432*c_1001_2^9 + 56305098894126194089/122148787784615216*c_1001_2^8 + 129473461583310348209/122148787784615216*c_1001_2^7 + 25297496026274278319/61074393892307608*c_1001_2^6 - 286639876944736329897/244297575569230432*c_1001_2^5 - 287797991532768597805/122148787784615216*c_1001_2^4 - 294879065876754697981/122148787784615216*c_1001_2^3 - 63545529135160810725/30537196946153804*c_1001_2^2 - 358628194927052787009/244297575569230432*c_1001_2 - 11136045484015961735/30537196946153804, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 2242416468545089/30537196946153804*c_1001_2^13 - 5979667073093879/15268598473076902*c_1001_2^12 + 1087156730602325/30537196946153804*c_1001_2^11 + 24360446259485677/7634299236538451*c_1001_2^10 + 77924824784020683/30537196946153804*c_1001_2^9 - 142127680470011445/15268598473076902*c_1001_2^8 - 256607861999348059/15268598473076902*c_1001_2^7 - 15430804873256331/7634299236538451*c_1001_2^6 + 744549954674165879/30537196946153804*c_1001_2^5 + 565481075171006257/15268598473076902*c_1001_2^4 + 456121007950495387/15268598473076902*c_1001_2^3 + 174606835400593854/7634299236538451*c_1001_2^2 + 445929301669828115/30537196946153804*c_1001_2 + 12160819353306585/7634299236538451, c_0011_4 + 13990025719355749/30537196946153804*c_1001_2^13 + 39206205634221829/15268598473076902*c_1001_2^12 + 10714677369724255/30537196946153804*c_1001_2^11 - 155259221194606824/7634299236538451*c_1001_2^10 - 634986851764845495/30537196946153804*c_1001_2^9 + 872204429558650495/15268598473076902*c_1001_2^8 + 1824575246200515875/15268598473076902*c_1001_2^7 + 233285380371098675/7634299236538451*c_1001_2^6 - 4754777941672837019/30537196946153804*c_1001_2^5 - 4050290082676127423/15268598473076902*c_1001_2^4 - 3502681561485790173/15268598473076902*c_1001_2^3 - 1303229052957997914/7634299236538451*c_1001_2^2 - 3445416515507660923/30537196946153804*c_1001_2 - 134011808012718848/7634299236538451, c_0011_8 - 4560789412411615/30537196946153804*c_1001_2^13 - 12874621060957599/15268598473076902*c_1001_2^12 - 4587353478563805/30537196946153804*c_1001_2^11 + 50510604090486374/7634299236538451*c_1001_2^10 + 215197825472740105/30537196946153804*c_1001_2^9 - 279426573408124139/15268598473076902*c_1001_2^8 - 606673297324402585/15268598473076902*c_1001_2^7 - 89279767000807218/7634299236538451*c_1001_2^6 + 1541622303405238457/30537196946153804*c_1001_2^5 + 1351069184168535895/15268598473076902*c_1001_2^4 + 1184240512359552069/15268598473076902*c_1001_2^3 + 438591425544453650/7634299236538451*c_1001_2^2 + 1166925340667745745/30537196946153804*c_1001_2 + 51961167070851389/7634299236538451, c_0101_0 + 1, c_0101_1 - 15464568218551221/30537196946153804*c_1001_2^13 - 43128429510892105/15268598473076902*c_1001_2^12 - 10240265887979215/30537196946153804*c_1001_2^11 + 170878341399477660/7634299236538451*c_1001_2^10 + 686594995511866955/30537196946153804*c_1001_2^9 - 959249139139585819/15268598473076902*c_1001_2^8 - 1991159198666533691/15268598473076902*c_1001_2^7 - 252881309702343380/7634299236538451*c_1001_2^6 + 5198625569368600499/30537196946153804*c_1001_2^5 + 4428865841934563321/15268598473076902*c_1001_2^4 + 3843271509448552083/15268598473076902*c_1001_2^3 + 1437452975225210350/7634299236538451*c_1001_2^2 + 3803026743618441659/30537196946153804*c_1001_2 + 154141468829043218/7634299236538451, c_0101_11 - 2147345114833542/7634299236538451*c_1001_2^13 - 24240935458724295/15268598473076902*c_1001_2^12 - 2125335829852888/7634299236538451*c_1001_2^11 + 190593059633286849/15268598473076902*c_1001_2^10 + 101475270595106913/7634299236538451*c_1001_2^9 - 528260841804683873/15268598473076902*c_1001_2^8 - 572727191207075594/7634299236538451*c_1001_2^7 - 164579184417147095/7634299236538451*c_1001_2^6 + 729800876441366950/7634299236538451*c_1001_2^5 + 2551893661802156957/15268598473076902*c_1001_2^4 + 1119356427794750382/7634299236538451*c_1001_2^3 + 831405974214482316/7634299236538451*c_1001_2^2 + 550598549878340088/7634299236538451*c_1001_2 + 194404146980597793/15268598473076902, c_0101_2 + 384566329018278/7634299236538451*c_1001_2^13 + 2135379147689746/7634299236538451*c_1001_2^12 + 160131584329702/7634299236538451*c_1001_2^11 - 17171544314383405/7634299236538451*c_1001_2^10 - 16358617095579628/7634299236538451*c_1001_2^9 + 49945265674968290/7634299236538451*c_1001_2^8 + 97483701552335446/7634299236538451*c_1001_2^7 + 16571015566647014/7634299236538451*c_1001_2^6 - 134394640765298800/7634299236538451*c_1001_2^5 - 212278686663675617/7634299236538451*c_1001_2^4 - 167691334393716234/7634299236538451*c_1001_2^3 - 116635012131007365/7634299236538451*c_1001_2^2 - 78611793543137414/7634299236538451*c_1001_2 - 4046054674662545/7634299236538451, c_1001_0 - 1527205919278209/15268598473076902*c_1001_2^13 - 4316699514647738/7634299236538451*c_1001_2^12 - 1626689527935153/15268598473076902*c_1001_2^11 + 33807471639406233/7634299236538451*c_1001_2^10 + 73023677459972969/15268598473076902*c_1001_2^9 - 92949794391322426/7634299236538451*c_1001_2^8 - 204764175334222129/7634299236538451*c_1001_2^7 - 61976545728135388/7634299236538451*c_1001_2^6 + 514515162180141019/15268598473076902*c_1001_2^5 + 456794886493069446/7634299236538451*c_1001_2^4 + 405464811929637876/7634299236538451*c_1001_2^3 + 306192150940243170/7634299236538451*c_1001_2^2 + 406852485172793967/15268598473076902*c_1001_2 + 41991821073875123/7634299236538451, c_1001_10 + c_1001_2, c_1001_11 - 1527205919278209/15268598473076902*c_1001_2^13 - 4316699514647738/7634299236538451*c_1001_2^12 - 1626689527935153/15268598473076902*c_1001_2^11 + 33807471639406233/7634299236538451*c_1001_2^10 + 73023677459972969/15268598473076902*c_1001_2^9 - 92949794391322426/7634299236538451*c_1001_2^8 - 204764175334222129/7634299236538451*c_1001_2^7 - 61976545728135388/7634299236538451*c_1001_2^6 + 514515162180141019/15268598473076902*c_1001_2^5 + 456794886493069446/7634299236538451*c_1001_2^4 + 405464811929637876/7634299236538451*c_1001_2^3 + 306192150940243170/7634299236538451*c_1001_2^2 + 406852485172793967/15268598473076902*c_1001_2 + 41991821073875123/7634299236538451, c_1001_2^14 + 6*c_1001_2^13 + 3*c_1001_2^12 - 44*c_1001_2^11 - 63*c_1001_2^10 + 106*c_1001_2^9 + 310*c_1001_2^8 + 172*c_1001_2^7 - 311*c_1001_2^6 - 714*c_1001_2^5 - 734*c_1001_2^4 - 576*c_1001_2^3 - 399*c_1001_2^2 - 140*c_1001_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.350 seconds, Total memory usage: 32.09MB