Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 2412647395] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s825 geometric_solution 5.39112248 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479156394260 0.249517059511 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879051488584 0.605433737990 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558071914722 0.692382879093 5 4 2 1 1023 1023 0213 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 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 0.558071914722 0.692382879093 3 4 4 2 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847305897343 0.741957530835 5 3 2 5 3201 1023 0132 2310 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 -1 0 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 0.040733909194 0.997611545898 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 4755119671008968294021867/186994417736789512305037*c_0101_4^25 - 123162205007437971979184366/186994417736789512305037*c_0101_4^23 + 282618414887841871260403300/186994417736789512305037*c_0101_4^21 - 233026652074668083170119722/9841811459831026963423*c_0101_4^19 + 10350810604874343988136514004/186994417736789512305037*c_0101_4^17 - 1759647401051461643383183159/186994417736789512305037*c_0101_4^15 + 3179412918697693241437721645/186994417736789512305037*c_0101_4^13 - 2589763054431000199711670439/186994417736789512305037*c_0101_4^11 + 1981373685426761392119638965/186994417736789512305037*c_0101_4^9 - 1374050473784892850438399858/186994417736789512305037*c_0101_4^7 + 190798682666635172248107587/186994417736789512305037*c_0101_4^5 - 233456618941934755433226183/186994417736789512305037*c_0101_4^3 + 57320793024292257541758931/186994417736789512305037*c_0101_4, c_0011_0 - 1, c_0011_1 + 1551810771631471196676/186994417736789512305037*c_0101_4^24 - 41018054814849757541055/186994417736789512305037*c_0101_4^22 + 114261467861238865555269/186994417736789512305037*c_0101_4^20 - 79493343967843902402647/9841811459831026963423*c_0101_4^18 + 4161999018376553468940084/186994417736789512305037*c_0101_4^16 - 2940058927269521393357931/186994417736789512305037*c_0101_4^14 + 1947393372891319338227173/186994417736789512305037*c_0101_4^12 + 333985660835495483714817/186994417736789512305037*c_0101_4^10 + 1041139178831246130774871/186994417736789512305037*c_0101_4^8 - 234458022950799097180334/186994417736789512305037*c_0101_4^6 + 540092056298956231023089/186994417736789512305037*c_0101_4^4 + 55686731767016837621442/186994417736789512305037*c_0101_4^2 - 91133416651679994568373/186994417736789512305037, c_0011_3 - 63508388553578294419058/186994417736789512305037*c_0101_4^25 + 1639049751439001966728174/186994417736789512305037*c_0101_4^23 - 3623564801969288692684527/186994417736789512305037*c_0101_4^21 + 3095533808318321865154858/9841811459831026963423*c_0101_4^19 - 132829978681416921301380733/186994417736789512305037*c_0101_4^17 + 11840870493090816439807137/186994417736789512305037*c_0101_4^15 - 42521517721942600537129187/186994417736789512305037*c_0101_4^13 + 30300872392100123165585131/186994417736789512305037*c_0101_4^11 - 24465413773239847843165646/186994417736789512305037*c_0101_4^9 + 15893651402945451642817533/186994417736789512305037*c_0101_4^7 - 1495021858619616727234012/186994417736789512305037*c_0101_4^5 + 3249427947466619767707232/186994417736789512305037*c_0101_4^3 - 602470480993037108365264/186994417736789512305037*c_0101_4, c_0101_0 - 26478546539143745098445/186994417736789512305037*c_0101_4^25 + 690718535832827763554243/186994417736789512305037*c_0101_4^23 - 1699908890600959171556850/186994417736789512305037*c_0101_4^21 + 1311939162583666208466094/9841811459831026963423*c_0101_4^19 - 62151590484762305192727174/186994417736789512305037*c_0101_4^17 + 19793422869405269333902101/186994417736789512305037*c_0101_4^15 - 17790377831257698198022822/186994417736789512305037*c_0101_4^13 + 17128418107874165142220007/186994417736789512305037*c_0101_4^11 - 13312854054467224665762684/186994417736789512305037*c_0101_4^9 + 9070295639014551798529376/186994417736789512305037*c_0101_4^7 - 2710238185967061982356349/186994417736789512305037*c_0101_4^5 + 1301856014804557527567635/186994417736789512305037*c_0101_4^3 - 591816527679027273805542/186994417736789512305037*c_0101_4, c_0101_1 - 2361412225228142894474/186994417736789512305037*c_0101_4^24 + 55455067524257130773902/186994417736789512305037*c_0101_4^22 + 7457197037971008831306/186994417736789512305037*c_0101_4^20 + 97916853209196061728259/9841811459831026963423*c_0101_4^18 + 168029000141315893614320/186994417736789512305037*c_0101_4^16 - 11496099055492573221566501/186994417736789512305037*c_0101_4^14 + 289897902014692973841530/186994417736789512305037*c_0101_4^12 - 1579077032670917090046632/186994417736789512305037*c_0101_4^10 + 552693770757182303341788/186994417736789512305037*c_0101_4^8 - 1249143778822485895452183/186994417736789512305037*c_0101_4^6 + 1176834676361859246614734/186994417736789512305037*c_0101_4^4 + 126555870290696820742698/186994417736789512305037*c_0101_4^2 + 49682516480820800078707/186994417736789512305037, c_0101_4^26 - 26*c_0101_4^24 + 62*c_0101_4^22 - 937*c_0101_4^20 + 2269*c_0101_4^18 - 586*c_0101_4^16 + 706*c_0101_4^14 - 610*c_0101_4^12 + 470*c_0101_4^10 - 331*c_0101_4^8 + 68*c_0101_4^6 - 53*c_0101_4^4 + 17*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB