Magma V2.19-8 Tue Aug 20 2013 23:52:47 on localhost [Seed = 3819276339] Type ? for help. Type -D to quit. Loading file "K12n296__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n296 geometric_solution 12.10690267 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 -1 1 0 0 0 0 -1 8 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821486377002 1.041887627147 0 5 5 4 0132 0132 1302 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532047472834 0.681553281100 4 0 7 6 0213 0132 0132 0132 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 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833880015981 1.187216991981 6 8 7 0 0132 0132 1302 0132 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 -1 0 1 0 0 0 0 0 -1 0 1 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672363240366 0.691941809112 2 8 0 1 0213 1302 0132 0213 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 1 -1 0 0 0 0 0 0 1 0 -1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.385805637482 0.656874864652 1 1 7 9 2031 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288315910924 0.911667944653 3 10 2 9 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.411986513460 1.039138895978 3 11 5 2 2031 0132 1023 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 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223576395354 0.733796734614 11 3 10 4 2031 0132 0132 2031 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 0 0 0 1 0 -1 0 0 1 -1 0 -7 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347548106601 0.673736231941 12 12 5 6 0132 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.453982344814 0.707551323468 12 6 11 8 1230 0132 2031 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 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 0.158709976183 0.779802128775 12 7 8 10 2310 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.628931572363 0.401854714071 9 10 11 9 0132 3012 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.683578064550 0.885807555254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : d['c_0110_8'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0110_8'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0110_8'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_12'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_2']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_2'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0110_8'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_4'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_2']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0101_5']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_12, c_0101_5, c_0101_7, c_0101_9, c_0110_8, c_1001_0, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1245/1417*c_1001_0^3*c_1100_2 + 328/1417*c_1001_0^3 + 941/2834*c_1001_0^2*c_1100_2 + 7795/2834*c_1001_0^2 - 6555/2834*c_1001_0*c_1100_2 - 3096/1417*c_1001_0 + 3139/1417*c_1100_2 + 4051/2834, c_0011_0 - 1, c_0011_10 + c_1001_0^2*c_1100_2 + c_1001_0^2 - 2*c_1001_0*c_1100_2 - 1, c_0011_11 + c_1001_0^2 - 2*c_1001_0*c_1100_2 - 3*c_1001_0 + 3*c_1100_2 + 2, c_0011_12 + c_1001_0^3*c_1100_2 + 3*c_1001_0^2 - 3*c_1001_0*c_1100_2 - 4*c_1001_0 + 2*c_1100_2 + 1, c_0011_4 + c_1100_2 + 1, c_0101_0 - c_1100_2 - 1, c_0101_12 - c_1001_0^3*c_1100_2 - 2*c_1001_0^2 + c_1001_0*c_1100_2 + c_1001_0 + c_1100_2 + 1, c_0101_5 + c_1001_0*c_1100_2 - c_1100_2 + 1, c_0101_7 + c_1001_0*c_1100_2 - c_1100_2, c_0101_9 - c_1100_2, c_0110_8 + c_1001_0 - c_1100_2 - 1, c_1001_0^4 - 4*c_1001_0^3*c_1100_2 - 4*c_1001_0^3 + 8*c_1001_0^2*c_1100_2 + 2*c_1001_0^2 - 4*c_1001_0*c_1100_2 + 4*c_1001_0 + c_1100_2 - 3, c_1100_2^2 + c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.550 Total time: 2.770 seconds, Total memory usage: 64.12MB