Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 71669970] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1114 geometric_solution 4.97743457 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.133110606694 0.842370082426 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 1 -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 0.878830780540 1.303285313717 3 0 4 1 0132 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0 0 0 0 0 0.878830780540 1.303285313717 2 1 5 5 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462326784640 0.107036627935 4 2 1 4 3012 3201 0132 1230 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 1 -1 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078194267194 0.684427591540 3 6 6 3 3201 0132 3201 0132 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 -0.006432302282 0.989463472629 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.102935007943 0.458143957765 ==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_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_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 25653944569/7329644*c_0101_6^7 + 5720590151/1832411*c_0101_6^6 + 884931225/261773*c_0101_6^5 - 20052638657/1832411*c_0101_6^4 - 43123345547/7329644*c_0101_6^3 + 24895205107/7329644*c_0101_6^2 + 1190813398/1832411*c_0101_6 - 2053341911/7329644, c_0011_0 - 1, c_0011_4 - 69971681/1047092*c_0101_6^7 + 15912909/261773*c_0101_6^6 + 16434889/261773*c_0101_6^5 - 54579755/261773*c_0101_6^4 - 114666235/1047092*c_0101_6^3 + 67802647/1047092*c_0101_6^2 + 3284181/261773*c_0101_6 - 5293191/1047092, c_0011_5 + 75667869/1047092*c_0101_6^7 - 16039442/261773*c_0101_6^6 - 19118665/261773*c_0101_6^5 + 58363265/261773*c_0101_6^4 + 138725503/1047092*c_0101_6^3 - 70131335/1047092*c_0101_6^2 - 4640114/261773*c_0101_6 + 5898095/1047092, c_0101_0 + 78113335/1047092*c_0101_6^7 - 36256935/523546*c_0101_6^6 - 37167299/523546*c_0101_6^5 + 123609367/523546*c_0101_6^4 + 125251367/1047092*c_0101_6^3 - 85587465/1047092*c_0101_6^2 - 8153317/523546*c_0101_6 + 8089703/1047092, c_0101_1 + 17104777/261773*c_0101_6^7 - 32022441/523546*c_0101_6^6 - 31984615/523546*c_0101_6^5 + 108460479/523546*c_0101_6^4 + 53259021/523546*c_0101_6^3 - 18328813/261773*c_0101_6^2 - 5772657/523546*c_0101_6 + 2842397/523546, c_0101_2 - 12335272/261773*c_0101_6^7 + 21686761/523546*c_0101_6^6 + 24065379/523546*c_0101_6^5 - 76405485/523546*c_0101_6^4 - 42794063/523546*c_0101_6^3 + 11493402/261773*c_0101_6^2 + 5725589/523546*c_0101_6 - 1644079/523546, c_0101_6^8 - 39/31*c_0101_6^7 - 20/31*c_0101_6^6 + 108/31*c_0101_6^5 + 17/31*c_0101_6^4 - 50/31*c_0101_6^3 + 5/31*c_0101_6^2 + 5/31*c_0101_6 - 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB