Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3970789601] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s536 geometric_solution 4.94882915 oriented_manifold CS_known -0.0000000000000009 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 -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 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 0.270382165309 0.328491304174 2 0 3 0 0132 2310 0132 0132 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.235901431537 1.486246915628 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 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 -0.198242695648 0.767959812219 5 4 2 1 3201 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.198242695648 0.767959812219 4 4 3 2 1230 3012 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 -0.060306875359 0.913022880118 5 5 2 3 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.939281389579 1.461514123699 ==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' : 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' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_4, c_0011_5, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 22990668018088/482620938875*c_0101_1^8 - 54390721373748/482620938875*c_0101_1^7 - 22579609930257/38609675110*c_0101_1^6 - 117126662993953/482620938875*c_0101_1^5 + 204262229443823/1930483755500*c_0101_1^4 + 3738665297459/19304837555*c_0101_1^3 + 387776306717833/965241877750*c_0101_1^2 - 118677348493737/1930483755500*c_0101_1 - 50981720170653/386096751100, c_0011_0 - 1, c_0011_1 - 27676224/14815685*c_0101_1^8 - 75150704/14815685*c_0101_1^7 - 73190892/2963137*c_0101_1^6 - 270243769/14815685*c_0101_1^5 - 36745044/14815685*c_0101_1^4 + 15969373/2963137*c_0101_1^3 + 243685462/14815685*c_0101_1^2 + 58522011/14815685*c_0101_1 - 10032077/2963137, c_0011_3 + 130814063296/96524187775*c_0101_1^8 + 322528589616/96524187775*c_0101_1^7 + 66997152628/3860967511*c_0101_1^6 + 924296925001/96524187775*c_0101_1^5 + 275573794621/96524187775*c_0101_1^4 - 9975271927/3860967511*c_0101_1^3 - 1060077829868/96524187775*c_0101_1^2 - 60339509124/96524187775*c_0101_1 + 31050082149/19304837555, c_0011_4 + 36867696848/19304837555*c_0101_1^8 + 89499439848/19304837555*c_0101_1^7 + 93428012133/3860967511*c_0101_1^6 + 237867164938/19304837555*c_0101_1^5 + 46190593378/19304837555*c_0101_1^4 - 19264881546/3860967511*c_0101_1^3 - 301894226149/19304837555*c_0101_1^2 - 4090527382/19304837555*c_0101_1 + 8209653514/3860967511, c_0011_5 - 199405902304/96524187775*c_0101_1^8 - 536895693984/96524187775*c_0101_1^7 - 105191407150/3860967511*c_0101_1^6 - 1906807776699/96524187775*c_0101_1^5 - 302633168254/96524187775*c_0101_1^4 + 18777067290/3860967511*c_0101_1^3 + 1701479005932/96524187775*c_0101_1^2 + 333354701976/96524187775*c_0101_1 - 73516540951/19304837555, c_0101_1^9 + 7/2*c_0101_1^8 + 245/16*c_0101_1^7 + 321/16*c_0101_1^6 + 17/2*c_0101_1^5 - 15/8*c_0101_1^4 - 89/8*c_0101_1^3 - 139/16*c_0101_1^2 + 15/16*c_0101_1 + 25/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB