Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 4290667484] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s322 geometric_solution 4.50406575 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370111054032 0.183607516451 2 0 3 0 0132 2310 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461615638515 0.892046054639 1 4 3 3 0132 0132 3012 1230 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 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 1.416558930122 1.525216570249 2 2 4 1 3012 1230 3201 0132 0 0 0 0 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 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416558930122 1.525216570249 3 2 5 5 2310 0132 3201 0132 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 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 -0.226146361383 0.505433310994 4 5 4 5 2310 1302 0132 2031 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 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 -0.060958081105 2.034875514221 ==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' : 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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), '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' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 973435687443/660817479007*c_0101_3^12 - 3153233392672/660817479007*c_0101_3^11 - 110931518022/94402497001*c_0101_3^10 - 7972461534277/660817479007*c_0101_3^9 - 2201961837886/94402497001*c_0101_3^8 + 6653224088610/660817479007*c_0101_3^7 + 28240399652995/660817479007*c_0101_3^6 - 16041341238593/660817479007*c_0101_3^5 + 41967715801030/660817479007*c_0101_3^4 - 8412598640720/660817479007*c_0101_3^3 - 620122840424/94402497001*c_0101_3^2 + 608187842294/660817479007*c_0101_3 - 19964357781413/660817479007, c_0011_0 - 1, c_0011_1 + 1877254228/94402497001*c_0101_3^12 + 7075704053/94402497001*c_0101_3^11 + 3100378112/94402497001*c_0101_3^10 + 6147312347/94402497001*c_0101_3^9 + 16052412605/94402497001*c_0101_3^8 - 30697538243/94402497001*c_0101_3^7 - 132617525904/94402497001*c_0101_3^6 - 113101988876/94402497001*c_0101_3^5 - 84128224069/94402497001*c_0101_3^4 + 64621190470/94402497001*c_0101_3^3 + 70643869703/94402497001*c_0101_3^2 + 45750330507/94402497001*c_0101_3 + 72110363548/94402497001, c_0011_3 - 9294384036/94402497001*c_0101_3^12 - 32148400860/94402497001*c_0101_3^11 - 17525575860/94402497001*c_0101_3^10 - 93415748359/94402497001*c_0101_3^9 - 183970574363/94402497001*c_0101_3^8 - 15854158443/94402497001*c_0101_3^7 + 171020702394/94402497001*c_0101_3^6 - 183783088074/94402497001*c_0101_3^5 + 404327067288/94402497001*c_0101_3^4 - 25421853083/94402497001*c_0101_3^3 + 46546767732/94402497001*c_0101_3^2 + 160164231756/94402497001*c_0101_3 - 139693116639/94402497001, c_0011_5 + 9391943999/94402497001*c_0101_3^12 + 35555017261/94402497001*c_0101_3^11 + 28706094130/94402497001*c_0101_3^10 + 99767004289/94402497001*c_0101_3^9 + 210789737712/94402497001*c_0101_3^8 + 73029199902/94402497001*c_0101_3^7 - 187056910704/94402497001*c_0101_3^6 + 88305668458/94402497001*c_0101_3^5 - 362610348019/94402497001*c_0101_3^4 - 102573452815/94402497001*c_0101_3^3 - 45143977922/94402497001*c_0101_3^2 - 91040598495/94402497001*c_0101_3 + 109900621032/94402497001, c_0101_0 - 25229167/94402497001*c_0101_3^12 + 2227075513/94402497001*c_0101_3^11 + 7826709908/94402497001*c_0101_3^10 - 174991925/94402497001*c_0101_3^9 + 9863302882/94402497001*c_0101_3^8 + 41760433902/94402497001*c_0101_3^7 - 23679128188/94402497001*c_0101_3^6 - 97685230701/94402497001*c_0101_3^5 + 79966307761/94402497001*c_0101_3^4 + 55090401349/94402497001*c_0101_3^3 + 2508952392/94402497001*c_0101_3^2 + 88077484752/94402497001*c_0101_3 - 42502814889/94402497001, c_0101_3^13 + 3*c_0101_3^12 + 8*c_0101_3^10 + 14*c_0101_3^9 - 11*c_0101_3^8 - 27*c_0101_3^7 + 24*c_0101_3^6 - 48*c_0101_3^5 + 18*c_0101_3^4 + 7*c_0101_3^3 - 9*c_0101_3^2 + 26*c_0101_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB