Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 3499183126] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0279 geometric_solution 4.32372357 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 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 0.126681953942 0.058399921339 0 3 0 3 0132 0132 2310 2310 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 1 0 -1 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 -2.505397463945 2.667559182917 2 0 2 0 2031 2310 1302 0132 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 -7.405023905912 3.039245198791 1 1 4 5 3201 0132 0132 0132 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 -1 0 1 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 0.193202562200 0.499178225046 6 6 5 3 0132 3201 2031 0132 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 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 0.512755608143 1.034177731151 6 6 3 4 1023 2310 0132 1302 0 0 0 0 0 1 0 -1 1 0 0 -1 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 -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 0.512755608143 1.034177731151 4 5 4 5 0132 1023 2310 3201 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384823991744 0.776152218238 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 63587501099006762/2572065028508443*c_0101_0*c_0101_5^11 + 679751945227031682/2572065028508443*c_0101_0*c_0101_5^10 - 621089907480546047/2572065028508443*c_0101_0*c_0101_5^9 + 169320144174404241/2572065028508443*c_0101_0*c_0101_5^8 + 4849674615452739193/5144130057016886*c_0101_0*c_0101_5^7 - 1549932602809025000/2572065028508443*c_0101_0*c_0101_5^6 - 11403197630919698495/5144130057016886*c_0101_0*c_0101_5^5 + 2732782508987444476/2572065028508443*c_0101_0*c_0101_5^4 + 5327247561649098664/2572065028508443*c_0101_0*c_0101_5^3 - 586429153230907803/2572065028508443*c_0101_0*c_0101_5^2 - 3696758443825981193/5144130057016886*c_0101_0*c_0101_5 - 365584634658656874/2572065028508443*c_0101_0, c_0011_0 - 1, c_0011_2 + 357937140711992/197851156039111*c_0101_5^11 - 3792366557934024/197851156039111*c_0101_5^10 + 3156084042600860/197851156039111*c_0101_5^9 - 851358932927244/197851156039111*c_0101_5^8 - 13694999224113526/197851156039111*c_0101_5^7 + 7373173940035564/197851156039111*c_0101_5^6 + 31978326700329470/197851156039111*c_0101_5^5 - 12482687334795574/197851156039111*c_0101_5^4 - 29637878498372395/197851156039111*c_0101_5^3 + 848274562710332/197851156039111*c_0101_5^2 + 9527549742568665/197851156039111*c_0101_5 + 2295434835868809/197851156039111, c_0011_4 + 165743927520988/197851156039111*c_0101_5^11 - 1788906893490460/197851156039111*c_0101_5^10 + 1814384473584346/197851156039111*c_0101_5^9 - 745430466413874/197851156039111*c_0101_5^8 - 6126864676057779/197851156039111*c_0101_5^7 + 4556432756982894/197851156039111*c_0101_5^6 + 14052379353633269/197851156039111*c_0101_5^5 - 8391354714530459/197851156039111*c_0101_5^4 - 12282196380753039/197851156039111*c_0101_5^3 + 2352480425747762/197851156039111*c_0101_5^2 + 4004952415520354/197851156039111*c_0101_5 + 529710850954529/197851156039111, c_0101_0^2 + 100479575782368/197851156039111*c_0101_5^11 - 1068756399946700/197851156039111*c_0101_5^10 + 929475532063872/197851156039111*c_0101_5^9 - 266392758749186/197851156039111*c_0101_5^8 - 3865775791918256/197851156039111*c_0101_5^7 + 2261475444000183/197851156039111*c_0101_5^6 + 8902184031160201/197851156039111*c_0101_5^5 - 3957445958482384/197851156039111*c_0101_5^4 - 8156657546437193/197851156039111*c_0101_5^3 + 736996051368435/197851156039111*c_0101_5^2 + 2609975546354517/197851156039111*c_0101_5 + 375659970934817/197851156039111, c_0101_1 + 176464962145824/197851156039111*c_0101_5^11 - 1865129197240608/197851156039111*c_0101_5^10 + 1509918805311260/197851156039111*c_0101_5^9 - 400080645626400/197851156039111*c_0101_5^8 - 6748089486547318/197851156039111*c_0101_5^7 + 3468729627090152/197851156039111*c_0101_5^6 + 15782066935410321/197851156039111*c_0101_5^5 - 5725814712535369/197851156039111*c_0101_5^4 - 14571375066829136/197851156039111*c_0101_5^3 - 4846952807167/197851156039111*c_0101_5^2 + 4468720331933373/197851156039111*c_0101_5 + 1228137380317155/197851156039111, c_0101_4 - 100479575782368/197851156039111*c_0101_5^11 + 1068756399946700/197851156039111*c_0101_5^10 - 929475532063872/197851156039111*c_0101_5^9 + 266392758749186/197851156039111*c_0101_5^8 + 3865775791918256/197851156039111*c_0101_5^7 - 2261475444000183/197851156039111*c_0101_5^6 - 8902184031160201/197851156039111*c_0101_5^5 + 3957445958482384/197851156039111*c_0101_5^4 + 8156657546437193/197851156039111*c_0101_5^3 - 934847207407546/197851156039111*c_0101_5^2 - 2609975546354517/197851156039111*c_0101_5 - 375659970934817/197851156039111, c_0101_5^12 - 10*c_0101_5^11 + 5/2*c_0101_5^10 + 3*c_0101_5^9 - 159/4*c_0101_5^8 - 9/4*c_0101_5^7 + 409/4*c_0101_5^6 + 18*c_0101_5^5 - 105*c_0101_5^4 - 185/4*c_0101_5^3 + 59/2*c_0101_5^2 + 87/4*c_0101_5 + 13/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB