Magma V2.19-8 Wed Aug 21 2013 00:56:27 on localhost [Seed = 1393903974] Type ? for help. Type -D to quit. Loading file "L13n221__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n221 geometric_solution 12.49006602 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 2 0 -2 2 0 -1 -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 -1 0 1 -1 0 1 0 0 -1 0 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960655807011 0.777427408275 0 5 6 2 0132 0132 0132 3120 1 0 1 1 0 0 0 0 -2 0 2 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 -1 1 1 0 -1 0 10 1 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435572071292 0.581531912472 1 0 8 7 3120 0132 0132 0132 0 0 1 1 0 -2 1 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 0 0 0 0 1 0 -1 0 0 0 0 11 -10 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670763270024 0.603879226784 7 9 10 0 0132 0132 0132 0132 0 0 1 1 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 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 0.357810397395 0.716252900303 11 5 0 6 0132 1302 0132 1302 0 0 1 1 0 0 2 -2 -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 -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 0.503496999783 0.962229955713 8 1 8 4 1023 0132 2103 2031 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 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 0.490956465042 0.704927069228 9 11 4 1 3120 3120 2031 0132 1 0 1 0 0 0 0 0 0 0 2 -2 0 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 0.419104016473 1.324220827793 3 10 2 12 0132 1023 0132 0132 0 0 1 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 0 0 0 0 0 -1 1 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 0.103417359662 0.957827452323 5 5 11 2 2103 1023 1023 0132 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 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 0.673295711437 0.932384639021 12 3 10 6 1023 0132 1023 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357810397395 0.716252900303 7 12 9 3 1023 1023 1023 0132 0 0 1 1 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 0 0 0 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699277579807 1.528372028321 4 6 8 12 0132 3120 1023 1023 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 0 0 0 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 -0.111425681780 1.031998663010 10 9 7 11 1023 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103417359662 0.957827452323 ==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_12'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_1'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : 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_10'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1100_11']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_1100_11']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_1100_11']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0110_5'], '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_1100_11']), '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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], '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_0101_12'], 'c_0101_8' : d['c_0101_11'], '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_1'], 'c_0110_8' : d['c_0101_2'], '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_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0110_5, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 36924754899767395576191/547785260046544956007*c_1100_11^9 + 107542458824238144425887/49798660004231359637*c_1100_11^8 + 14112297057662326535293772/547785260046544956007*c_1100_11^7 + 65510400561029228035084014/547785260046544956007*c_1100_11^6 + 9832746960606416044442702/49798660004231359637*c_1100_11^5 - 3030469088261167882098707/42137327695888073539*c_1100_11^4 - 1650001766366953815847579/49798660004231359637*c_1100_11^3 + 42656407105985155609247006/547785260046544956007*c_1100_11^2 + 15885961279919994175564693/547785260046544956007*c_1100_11 - 231695507804437091580045/547785260046544956007, c_0011_0 - 1, c_0011_10 + 39257966239652/1697237994759257*c_1100_11^9 + 1262439538339510/1697237994759257*c_1100_11^8 + 15155832642557864/1697237994759257*c_1100_11^7 + 71471154845124522/1697237994759257*c_1100_11^6 + 123574227324977468/1697237994759257*c_1100_11^5 - 27034935191119668/1697237994759257*c_1100_11^4 - 22147097107611376/1697237994759257*c_1100_11^3 + 44232526869599179/1697237994759257*c_1100_11^2 + 22539748517642088/1697237994759257*c_1100_11 + 756720367257056/1697237994759257, c_0011_11 - 542667566505107/18669617942351827*c_1100_11^9 - 1591477839141138/1697237994759257*c_1100_11^8 - 211201736869200917/18669617942351827*c_1100_11^7 - 1006780705580495894/18669617942351827*c_1100_11^6 - 161724725328100671/1697237994759257*c_1100_11^5 + 333529396211996902/18669617942351827*c_1100_11^4 + 49474811943048838/1697237994759257*c_1100_11^3 - 698090943858175004/18669617942351827*c_1100_11^2 - 318562827871462683/18669617942351827*c_1100_11 + 18348746539591720/18669617942351827, c_0011_6 - 19811721731419/18669617942351827*c_1100_11^9 - 61822384013461/1697237994759257*c_1100_11^8 - 8989517448772633/18669617942351827*c_1100_11^7 - 51374627609416246/18669617942351827*c_1100_11^6 - 11413631818620484/1697237994759257*c_1100_11^5 - 54188843002472529/18669617942351827*c_1100_11^4 + 12862683007315399/1697237994759257*c_1100_11^3 - 65310144880475914/18669617942351827*c_1100_11^2 - 58172559585723346/18669617942351827*c_1100_11 + 17191089687183403/18669617942351827, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 19811721731419/18669617942351827*c_1100_11^9 + 61822384013461/1697237994759257*c_1100_11^8 + 8989517448772633/18669617942351827*c_1100_11^7 + 51374627609416246/18669617942351827*c_1100_11^6 + 11413631818620484/1697237994759257*c_1100_11^5 + 54188843002472529/18669617942351827*c_1100_11^4 - 12862683007315399/1697237994759257*c_1100_11^3 + 65310144880475914/18669617942351827*c_1100_11^2 + 58172559585723346/18669617942351827*c_1100_11 - 17191089687183403/18669617942351827, c_0101_11 + 353745542332293/18669617942351827*c_1100_11^9 + 1018583303669274/1697237994759257*c_1100_11^8 + 131142565170539171/18669617942351827*c_1100_11^7 + 580482854658380978/18669617942351827*c_1100_11^6 + 75597724096953209/1697237994759257*c_1100_11^5 - 653174628128169219/18669617942351827*c_1100_11^4 + 8248022901778974/1697237994759257*c_1100_11^3 + 313119700499853836/18669617942351827*c_1100_11^2 + 43522663046387357/18669617942351827*c_1100_11 - 4195679464823507/18669617942351827, c_0101_12 - 471456286174763/18669617942351827*c_1100_11^9 - 1360587809731346/1697237994759257*c_1100_11^8 - 175845607496529469/18669617942351827*c_1100_11^7 - 786050520139814670/18669617942351827*c_1100_11^6 - 105714489588766500/1697237994759257*c_1100_11^5 + 790809476792109340/18669617942351827*c_1100_11^4 - 7186097652844444/1697237994759257*c_1100_11^3 - 474877682465591091/18669617942351827*c_1100_11^2 - 60932755345374124/18669617942351827*c_1100_11 - 1299898107148070/18669617942351827, c_0101_2 - 542667566505107/18669617942351827*c_1100_11^9 - 1591477839141138/1697237994759257*c_1100_11^8 - 211201736869200917/18669617942351827*c_1100_11^7 - 1006780705580495894/18669617942351827*c_1100_11^6 - 161724725328100671/1697237994759257*c_1100_11^5 + 333529396211996902/18669617942351827*c_1100_11^4 + 49474811943048838/1697237994759257*c_1100_11^3 - 698090943858175004/18669617942351827*c_1100_11^2 - 318562827871462683/18669617942351827*c_1100_11 - 320871402760107/18669617942351827, c_0101_6 - 546817811575622/18669617942351827*c_1100_11^9 - 1599582923540339/1697237994759257*c_1100_11^8 - 211398570108493202/18669617942351827*c_1100_11^7 - 997850049161484756/18669617942351827*c_1100_11^6 - 156245941219470440/1697237994759257*c_1100_11^5 + 442298473136890526/18669617942351827*c_1100_11^4 + 42018396398486878/1697237994759257*c_1100_11^3 - 10012949753894204/262952365385237*c_1100_11^2 - 280100811158289604/18669617942351827*c_1100_11 + 14269266613145592/18669617942351827, c_0110_5 - 527006089844203/18669617942351827*c_1100_11^9 - 1537760539526878/1697237994759257*c_1100_11^8 - 202409052659720569/18669617942351827*c_1100_11^7 - 946475421552068510/18669617942351827*c_1100_11^6 - 144832309400849956/1697237994759257*c_1100_11^5 + 496487316139363055/18669617942351827*c_1100_11^4 + 29155713391171479/1697237994759257*c_1100_11^3 - 645609287646012570/18669617942351827*c_1100_11^2 - 221928251572566258/18669617942351827*c_1100_11 - 2921823074037811/18669617942351827, c_1100_11^10 + 32*c_1100_11^9 + 381*c_1100_11^8 + 1760*c_1100_11^7 + 2864*c_1100_11^6 - 1172*c_1100_11^5 - 445*c_1100_11^4 + 1172*c_1100_11^3 + 387*c_1100_11^2 - 20*c_1100_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB