Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 1073863834] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1703 geometric_solution 5.41573535 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 1 0 -1 -1 0 1 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 1.121483259483 1.053202171413 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 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 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 0.822137781617 0.876168027852 4 3 0 1 2310 3201 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822137781617 0.876168027852 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735568755054 0.415627304815 6 1 2 6 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445011325201 0.600220855679 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593163034543 0.124040668517 4 6 6 4 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.805290633129 0.667514478231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 361779498863080/26698897001*c_0110_5^13 + 631337185670889/26698897001*c_0110_5^12 + 183748708217086/3814128143*c_0110_5^11 + 18526623609434/224360479*c_0110_5^10 - 9968076295966550/26698897001*c_0110_5^9 - 7226753303181022/26698897001*c_0110_5^8 - 12992449174157836/26698897001*c_0110_5^7 - 16224991935591058/26698897001*c_0110_5^6 + 41397371184401066/26698897001*c_0110_5^5 + 50224037863208519/26698897001*c_0110_5^4 - 7368801767108790/26698897001*c_0110_5^3 - 27419129171589865/26698897001*c_0110_5^2 - 11464108767593829/26698897001*c_0110_5 - 1422877347174748/26698897001, c_0011_0 - 1, c_0011_1 - 54783054/32051497*c_0110_5^13 - 94032357/32051497*c_0110_5^12 - 196768691/32051497*c_0110_5^11 - 330503936/32051497*c_0110_5^10 + 1507356904/32051497*c_0110_5^9 + 1038955924/32051497*c_0110_5^8 + 2088181963/32051497*c_0110_5^7 + 2308923672/32051497*c_0110_5^6 - 6127310102/32051497*c_0110_5^5 - 7467022436/32051497*c_0110_5^4 + 746959744/32051497*c_0110_5^3 + 4204588065/32051497*c_0110_5^2 + 1913947812/32051497*c_0110_5 + 250240806/32051497, c_0101_0 - 71300800/32051497*c_0110_5^13 - 135771826/32051497*c_0110_5^12 - 271997237/32051497*c_0110_5^11 - 471866915/32051497*c_0110_5^10 + 1900509292/32051497*c_0110_5^9 + 1746423092/32051497*c_0110_5^8 + 2752932096/32051497*c_0110_5^7 + 3555048970/32051497*c_0110_5^6 - 7692083657/32051497*c_0110_5^5 - 11282968378/32051497*c_0110_5^4 + 33347980/32051497*c_0110_5^3 + 5920771380/32051497*c_0110_5^2 + 3141418317/32051497*c_0110_5 + 483921225/32051497, c_0101_1 + 392072163/32051497*c_0110_5^13 + 675731224/32051497*c_0110_5^12 + 1379944444/32051497*c_0110_5^11 + 2363537909/32051497*c_0110_5^10 - 10850038699/32051497*c_0110_5^9 - 7585965099/32051497*c_0110_5^8 - 13924818952/32051497*c_0110_5^7 - 17391431816/32051497*c_0110_5^6 + 45268939560/32051497*c_0110_5^5 + 53276174012/32051497*c_0110_5^4 - 9052396593/32051497*c_0110_5^3 - 29073564456/32051497*c_0110_5^2 - 11803160657/32051497*c_0110_5 - 1440274776/32051497, c_0101_4 + 343120157/32051497*c_0110_5^13 + 611679241/32051497*c_0110_5^12 + 1234920657/32051497*c_0110_5^11 + 2128081912/32051497*c_0110_5^10 - 9396561660/32051497*c_0110_5^9 - 7241361338/32051497*c_0110_5^8 - 12352020864/32051497*c_0110_5^7 - 15825672792/32051497*c_0110_5^6 + 38939145426/32051497*c_0110_5^5 + 49277918790/32051497*c_0110_5^4 - 6164851784/32051497*c_0110_5^3 - 26835077256/32051497*c_0110_5^2 - 11415128379/32051497*c_0110_5 - 1426230969/32051497, c_0101_6 + 127189003/32051497*c_0110_5^13 + 188583196/32051497*c_0110_5^12 + 408276868/32051497*c_0110_5^11 + 671543014/32051497*c_0110_5^10 - 3671703962/32051497*c_0110_5^9 - 1568956464/32051497*c_0110_5^8 - 4355278071/32051497*c_0110_5^7 - 4524306881/32051497*c_0110_5^6 + 15631500509/32051497*c_0110_5^5 + 13595338835/32051497*c_0110_5^4 - 5156568490/32051497*c_0110_5^3 - 7991217250/32051497*c_0110_5^2 - 2594027186/32051497*c_0110_5 - 258325038/32051497, c_0110_5^14 + 2*c_0110_5^13 + 4*c_0110_5^12 + 7*c_0110_5^11 - 26*c_0110_5^10 - 27*c_0110_5^9 - 41*c_0110_5^8 - 54*c_0110_5^7 + 103*c_0110_5^6 + 168*c_0110_5^5 + 15*c_0110_5^4 - 81*c_0110_5^3 - 51*c_0110_5^2 - 12*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB