Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 997893642] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2741 geometric_solution 5.98232826 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501648685860 0.886653646672 0 2 6 5 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 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 0.224012485543 0.293014547127 2 0 2 1 2031 0132 1302 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 0.145460035525 2.776941606153 5 6 5 0 0132 2103 1230 0132 0 0 0 0 0 1 0 -1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702202636263 0.329265412613 5 4 0 4 1302 2310 0132 3201 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.594577140816 0.720108807327 3 4 1 3 0132 2031 0132 3012 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 -1 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 0 0 0 0.903379807432 1.261982662349 6 3 6 1 2310 2103 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510902598428 1.670558668642 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_2']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 263865141/26216281*c_1001_0^13 + 565269394/3745183*c_1001_0^12 - 23203423260/26216281*c_1001_0^11 + 62687280302/26216281*c_1001_0^10 - 53373707591/26216281*c_1001_0^9 - 97827838601/26216281*c_1001_0^8 + 220081479412/26216281*c_1001_0^7 - 37337034258/26216281*c_1001_0^6 - 178088825241/26216281*c_1001_0^5 + 8080212041/2016637*c_1001_0^4 - 3534829436/26216281*c_1001_0^3 - 26915641712/26216281*c_1001_0^2 + 1607716857/2016637*c_1001_0 - 23782021573/26216281, c_0011_0 - 1, c_0011_3 - 30233/288091*c_1001_0^13 + 334135/288091*c_1001_0^12 - 1201052/288091*c_1001_0^11 + 712852/288091*c_1001_0^10 + 4512436/288091*c_1001_0^9 - 6543352/288091*c_1001_0^8 - 5975502/288091*c_1001_0^7 + 11083561/288091*c_1001_0^6 + 3175213/288091*c_1001_0^5 - 5275471/288091*c_1001_0^4 + 1772731/288091*c_1001_0^3 + 708610/288091*c_1001_0^2 - 2921/288091*c_1001_0 + 1331984/288091, c_0011_4 + 2911/288091*c_1001_0^13 - 39605/288091*c_1001_0^12 + 133730/288091*c_1001_0^11 + 211516/288091*c_1001_0^10 - 1757492/288091*c_1001_0^9 + 1538289/288091*c_1001_0^8 + 3946990/288091*c_1001_0^7 - 4597528/288091*c_1001_0^6 - 3181377/288091*c_1001_0^5 + 3094386/288091*c_1001_0^4 - 798146/288091*c_1001_0^3 - 1014947/288091*c_1001_0^2 + 326374/288091*c_1001_0 - 582871/288091, c_0011_6 + 66/103*c_1001_0^13 - 759/103*c_1001_0^12 + 2972/103*c_1001_0^11 - 3088/103*c_1001_0^10 - 7286/103*c_1001_0^9 + 15182/103*c_1001_0^8 + 5498/103*c_1001_0^7 - 19699/103*c_1001_0^6 - 1195/103*c_1001_0^5 + 6464/103*c_1001_0^4 - 3099/103*c_1001_0^3 - 650/103*c_1001_0^2 - 1248/103*c_1001_0 - 1805/103, c_0101_0 + 139121/288091*c_1001_0^13 - 1541748/288091*c_1001_0^12 + 5546576/288091*c_1001_0^11 - 3299890/288091*c_1001_0^10 - 20644893/288091*c_1001_0^9 + 29703426/288091*c_1001_0^8 + 26778202/288091*c_1001_0^7 - 48391360/288091*c_1001_0^6 - 14200427/288091*c_1001_0^5 + 20944338/288091*c_1001_0^4 - 6951578/288091*c_1001_0^3 - 2784165/288091*c_1001_0^2 - 1820772/288091*c_1001_0 - 5688205/288091, c_0110_2 + 13/2797*c_1001_0^13 - 419/2797*c_1001_0^12 + 3424/2797*c_1001_0^11 - 11014/2797*c_1001_0^10 + 10586/2797*c_1001_0^9 + 17094/2797*c_1001_0^8 - 39625/2797*c_1001_0^7 + 9604/2797*c_1001_0^6 + 28865/2797*c_1001_0^5 - 27229/2797*c_1001_0^4 + 1039/2797*c_1001_0^3 + 8776/2797*c_1001_0^2 - 4099/2797*c_1001_0 + 3629/2797, c_1001_0^14 - 14*c_1001_0^13 + 73*c_1001_0^12 - 150*c_1001_0^11 - 34*c_1001_0^10 + 570*c_1001_0^9 - 459*c_1001_0^8 - 694*c_1001_0^7 + 810*c_1001_0^6 + 286*c_1001_0^5 - 387*c_1001_0^4 + 113*c_1001_0^3 + 26*c_1001_0^2 + 9*c_1001_0 + 91 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB