Magma V2.19-8 Wed Aug 21 2013 01:05:16 on localhost [Seed = 2034196972] Type ? for help. Type -D to quit. Loading file "L14n25366__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25366 geometric_solution 11.62425804 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 0 0 0 0 0 -1 0 1 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 1 -1 7 0 -7 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 0.720913209785 0.638908285816 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 1 -1 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 -8 8 0 -7 0 7 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977478259667 0.666637828062 8 0 9 6 0132 0132 0132 2031 1 1 0 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 7 0 0 -7 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548170728019 0.457797548404 5 10 8 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -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 1 0 -1 0 0 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456635762662 1.732357925475 11 9 0 9 0132 0132 0132 2310 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 1 -1 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353841775718 0.525401300536 3 1 11 9 0132 0132 3120 1302 1 1 1 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 8 0 -8 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532943687691 1.106914692258 12 2 1 7 0132 1302 0132 0321 1 1 1 0 0 -1 0 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 7 0 -7 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589775438859 0.833832387552 12 6 10 1 2103 0321 2031 0132 1 1 1 1 0 -1 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 0 0 0 0 7 1 -8 8 0 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985873050502 0.827422881213 2 10 11 3 0132 1023 2310 0132 1 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 0 0 0 0 0 0 0 -7 0 0 7 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286708821439 0.321817939736 4 4 5 2 3201 0132 2031 0132 1 1 1 1 0 0 0 0 1 0 -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 -8 0 8 0 1 0 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.690634475031 1.551552007683 8 3 12 7 1023 0132 3012 1302 1 1 1 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 -1 0 1 0 0 0 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715454524289 1.079491906486 4 8 5 12 0132 3201 3120 2103 0 1 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113766753508 0.944220591303 6 10 7 11 0132 1230 2103 2103 1 1 0 1 0 0 0 0 0 0 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 -8 8 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717238330799 1.686494554328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0110_10'], 's_3_11' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_9' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0011_7']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0110_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], '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_7'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7']), 's_2_9' : d['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_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_0110_10, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 354501196821741089449699985/267615307326961158782403399*c_1001_2^8 + 3503851059969767366363721824/89205102442320386260801133*c_1001_2^7 - 16211164298417230653625765929/89205102442320386260801133*c_1001_2^6 + 246978951622783272067633545883/1070461229307844635129613596*c_100\ 1_2^5 - 228438619018084594517469558925/2140922458615689270259227192\ *c_1001_2^4 + 462990222047054769939166727369/1070461229307844635129\ 613596*c_1001_2^3 - 1215914228819534447193552802655/214092245861568\ 9270259227192*c_1001_2^2 + 1197805249373803218885013061951/21409224\ 58615689270259227192*c_1001_2 - 353091680319250678774545722665/2140\ 922458615689270259227192, c_0011_0 - 1, c_0011_11 - 11645010187866612/3601390960888658683*c_1001_2^8 + 314825428694675424/3601390960888658683*c_1001_2^7 - 796431828888470924/3601390960888658683*c_1001_2^6 + 577195709742209031/3601390960888658683*c_1001_2^5 - 158583592363569635/379093785356700914*c_1001_2^4 + 1005098431428708913/3601390960888658683*c_1001_2^3 - 10670944859196565563/7202781921777317366*c_1001_2^2 + 2506638777209248703/7202781921777317366*c_1001_2 - 5775102730888607045/7202781921777317366, c_0011_12 - 3278003062531732/3601390960888658683*c_1001_2^8 + 76371377877862116/3601390960888658683*c_1001_2^7 + 87809203990833092/3601390960888658683*c_1001_2^6 - 150128442767646409/3601390960888658683*c_1001_2^5 - 134469687121048093/379093785356700914*c_1001_2^4 - 1234945963814718473/7202781921777317366*c_1001_2^3 - 5210298967239149043/7202781921777317366*c_1001_2^2 - 1273975658080989733/7202781921777317366*c_1001_2 + 492613118979318399/3601390960888658683, c_0011_7 - 11766177322261740/3601390960888658683*c_1001_2^8 + 325574344331009856/3601390960888658683*c_1001_2^7 - 1007060330722129612/3601390960888658683*c_1001_2^6 + 1094559905411884025/3601390960888658683*c_1001_2^5 - 180717026508917237/379093785356700914*c_1001_2^4 + 1787177143467226421/3601390960888658683*c_1001_2^3 - 5734430933107156259/7202781921777317366*c_1001_2^2 + 4369900491476421221/7202781921777317366*c_1001_2 - 4985265084165795733/7202781921777317366, c_0101_0 - 14135554561102444/3601390960888658683*c_1001_2^8 + 401564075146635996/3601390960888658683*c_1001_2^7 - 1443676941954377528/3601390960888658683*c_1001_2^6 + 780220516690508765/3601390960888658683*c_1001_2^5 - 77256715815169443/379093785356700914*c_1001_2^4 + 10634712242217233631/7202781921777317366*c_1001_2^3 - 1821203066612514770/3601390960888658683*c_1001_2^2 + 4475275991543262569/3601390960888658683*c_1001_2 + 201108447593377160/3601390960888658683, c_0101_1 - 1, c_0101_10 - 4389981676656440/3601390960888658683*c_1001_2^8 + 142226661298472396/3601390960888658683*c_1001_2^7 - 951264329827060536/3601390960888658683*c_1001_2^6 + 2183338141042507946/3601390960888658683*c_1001_2^5 - 89921502650336924/189546892678350457*c_1001_2^4 + 2992700525344398867/7202781921777317366*c_1001_2^3 - 4664435027739585003/3601390960888658683*c_1001_2^2 + 4246579348678053605/3601390960888658683*c_1001_2 + 4264329455492111139/7202781921777317366, c_0101_11 - 12775696777250420/3601390960888658683*c_1001_2^8 + 322863671948751416/3601390960888658683*c_1001_2^7 - 290443831352459788/3601390960888658683*c_1001_2^6 - 199902778685430385/3601390960888658683*c_1001_2^5 - 261947922360643343/379093785356700914*c_1001_2^4 - 2365062935120644028/3601390960888658683*c_1001_2^3 - 6516918464033286887/7202781921777317366*c_1001_2^2 - 1054030507313742803/7202781921777317366*c_1001_2 - 4523845199593096507/7202781921777317366, c_0101_2 + 4469016857201304/3601390960888658683*c_1001_2^8 - 126688936589113208/3601390960888658683*c_1001_2^7 + 462380133639841984/3601390960888658683*c_1001_2^6 - 550178269680648866/3601390960888658683*c_1001_2^5 + 11721779891190843/189546892678350457*c_1001_2^4 - 930769514542963371/3601390960888658683*c_1001_2^3 + 2996279344231573980/3601390960888658683*c_1001_2^2 - 1003639331551493751/3601390960888658683*c_1001_2 + 1027446456343162761/3601390960888658683, c_0101_8 + 14135554561102444/3601390960888658683*c_1001_2^8 - 401564075146635996/3601390960888658683*c_1001_2^7 + 1443676941954377528/3601390960888658683*c_1001_2^6 - 780220516690508765/3601390960888658683*c_1001_2^5 + 77256715815169443/379093785356700914*c_1001_2^4 - 10634712242217233631/7202781921777317366*c_1001_2^3 + 1821203066612514770/3601390960888658683*c_1001_2^2 - 4475275991543262569/3601390960888658683*c_1001_2 - 201108447593377160/3601390960888658683, c_0110_10 + 25862337652068984/3601390960888658683*c_1001_2^8 - 697927065757891968/3601390960888658683*c_1001_2^7 + 1717218406907128696/3601390960888658683*c_1001_2^6 - 769996941444374330/3601390960888658683*c_1001_2^5 + 170220456946752241/189546892678350457*c_1001_2^4 - 3226296473688895546/3601390960888658683*c_1001_2^3 + 5191358742554618175/3601390960888658683*c_1001_2^2 - 2845710193942388760/3601390960888658683*c_1001_2 + 2351473947089904819/3601390960888658683, c_1001_1 - 18763027907597348/3601390960888658683*c_1001_2^8 + 477467727143016552/3601390960888658683*c_1001_2^7 - 484294352220847428/3601390960888658683*c_1001_2^6 - 881686210525605205/3601390960888658683*c_1001_2^5 - 278507759037261035/379093785356700914*c_1001_2^4 - 626294853005653576/3601390960888658683*c_1001_2^3 - 6390532430451251137/7202781921777317366*c_1001_2^2 - 2564872237433031113/7202781921777317366*c_1001_2 + 949833766124127123/7202781921777317366, c_1001_2^9 - 29*c_1001_2^8 + 119*c_1001_2^7 - 471/4*c_1001_2^6 + 827/8*c_1001_2^5 - 3139/8*c_1001_2^4 + 1949/8*c_1001_2^3 - 2039/4*c_1001_2^2 + 239/2*c_1001_2 - 1913/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB