Magma V2.19-8 Tue Aug 20 2013 18:04:48 on localhost [Seed = 1107556463] Type ? for help. Type -D to quit. Loading file "11_135__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_135 geometric_solution 12.84617739 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 14 1 1 2 3 0132 1230 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552624015426 0.709658978344 0 4 0 5 0132 0132 3012 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316912542767 0.877195224035 6 5 7 0 0132 1302 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 2.096623436780 0.964506790662 7 7 0 5 2310 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417556502542 0.566676316007 8 1 9 8 0132 0132 0132 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 -1 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.010373389993 0.766810599656 3 10 1 2 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260894740810 1.658442999724 2 11 12 12 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.305757911173 0.517658630170 12 3 3 2 0321 3120 3201 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 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 0.882005746294 0.858129190535 4 4 9 13 0132 1302 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 1 -1 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 0.371991435202 0.476619464578 11 11 8 4 3120 1230 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 -1 0 1 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610369927925 0.827244915999 12 5 13 13 2031 0132 3012 1023 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 -1 0 4 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424600526926 0.610167871860 13 6 9 9 0132 0132 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.610369927925 0.827244915999 7 6 10 6 0321 0321 1302 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 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 0.154099207516 1.432139053465 11 10 8 10 0132 1230 0132 1023 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 -4 1 3 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 0.231618036222 1.104195491719 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0011_11'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_8'], 'c_1010_13' : d['c_0101_10'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0101_11'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_13' : 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_1100_8' : d['c_1001_13'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_13']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_1001_13']), 'c_1100_13' : d['c_1001_13'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0011_11'], 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_13'], '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' : d['c_0101_10'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0110_11' : d['c_0101_13'], 'c_0110_10' : d['c_0101_10'], 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0011_0']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_13'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_13'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : negation(d['c_0011_7']), 'c_1100_9' : negation(d['c_1001_13']), 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : negation(d['c_0011_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_8, c_1001_0, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 15/17*c_1001_13^5 - 33/17*c_1001_13^4 + 3*c_1001_13^3 - 151/17*c_1001_13^2 + 59/17*c_1001_13 - 123/17, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1, c_0011_12 - 2/3*c_1001_13^5 + 1/3*c_1001_13^4 - 7/3*c_1001_13^3 + 4/3*c_1001_13^2 - 4/3*c_1001_13 - 1/3, c_0011_3 - 2/3*c_1001_13^5 + 1/3*c_1001_13^4 - 7/3*c_1001_13^3 + 4/3*c_1001_13^2 - 4/3*c_1001_13 - 1/3, c_0011_7 - 2/3*c_1001_13^5 + 1/3*c_1001_13^4 - 7/3*c_1001_13^3 + 4/3*c_1001_13^2 - 4/3*c_1001_13 - 4/3, c_0011_9 + 2/3*c_1001_13^5 + 2/3*c_1001_13^4 + 7/3*c_1001_13^3 + 5/3*c_1001_13^2 + 4/3*c_1001_13 + 4/3, c_0101_1 - 2/3*c_1001_13^5 + 1/3*c_1001_13^4 - 7/3*c_1001_13^3 + 4/3*c_1001_13^2 - 4/3*c_1001_13 - 1/3, c_0101_10 - 2/3*c_1001_13^5 - 2/3*c_1001_13^4 - 7/3*c_1001_13^3 - 5/3*c_1001_13^2 - 4/3*c_1001_13 - 4/3, c_0101_11 + 2/3*c_1001_13^5 - 1/3*c_1001_13^4 + 7/3*c_1001_13^3 - 7/3*c_1001_13^2 + 4/3*c_1001_13 - 5/3, c_0101_13 + 1/3*c_1001_13^5 + 1/3*c_1001_13^4 + 5/3*c_1001_13^3 + 1/3*c_1001_13^2 + 2/3*c_1001_13 - 1/3, c_0101_8 + 1/3*c_1001_13^5 + 1/3*c_1001_13^4 + 2/3*c_1001_13^3 + 1/3*c_1001_13^2 - 1/3*c_1001_13 + 2/3, c_1001_0 + 2/3*c_1001_13^5 - 1/3*c_1001_13^4 + 7/3*c_1001_13^3 - 4/3*c_1001_13^2 + 4/3*c_1001_13 + 1/3, c_1001_13^6 + 4*c_1001_13^4 - c_1001_13^3 + 4*c_1001_13^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.680 Total time: 10.890 seconds, Total memory usage: 64.12MB