Magma V2.19-8 Tue Aug 20 2013 23:59:07 on localhost [Seed = 1140993323] Type ? for help. Type -D to quit. Loading file "K13n1357__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1357 geometric_solution 12.08438134 oriented_manifold CS_known -0.0000000000000004 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 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.248968944513 0.791039771582 0 2 6 5 0132 2310 0132 0132 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 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 1.248968944513 0.791039771582 6 0 3 1 1302 0132 0213 3201 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 1 0 -1 0 0 0 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 0.804448024625 0.413629807157 7 2 8 0 0132 0213 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 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 0.256646532074 0.823007051848 9 8 0 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325726406686 0.901955875381 10 8 1 9 3201 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0.325726406686 0.901955875381 11 2 8 1 0132 2031 3201 0132 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 0.256646532074 0.823007051848 3 12 10 11 0132 0132 3201 0213 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 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 0.487878365710 0.445455183095 6 4 5 3 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388175558636 0.688914908309 4 5 12 11 0132 2310 1230 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 -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 0.632923787672 0.873818481435 7 12 4 5 2310 1230 0132 2310 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 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 0.632923787672 0.873818481435 6 12 9 7 0132 1023 0132 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 -1 0 1 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 0.487878365710 0.445455183095 11 7 10 9 1023 0132 3012 3012 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 -1 0 1 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 0.592798980619 1.279855280713 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : 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_1'], '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_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_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_5'], '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_1001_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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : negation(d['c_0101_0']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_8, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 649/236180*c_0101_12*c_1001_10*c_1001_2^2 - 379/236180*c_0101_12*c_1001_10*c_1001_2 - 291/236180*c_0101_12*c_1001_10 + 407/23618*c_0101_12*c_1001_2^2 + 1989/118090*c_0101_12*c_1001_2 + 156/59045*c_0101_12 - 2168/59045*c_1001_10*c_1001_2^2 + 407/23618*c_1001_10*c_1001_2 + 2012/59045*c_1001_10 - 8697/236180*c_1001_2^2 - 1003/236180*c_1001_2 + 3779/236180, c_0011_0 - 1, c_0011_10 - c_0101_12 + c_1001_10*c_1001_2^2 + c_1001_2, c_0011_11 - c_1001_2^2 + 1, c_0011_4 + c_0101_12*c_1001_10*c_1001_2 + c_0101_12 - c_1001_10*c_1001_2^2 - c_1001_2, c_0011_5 + c_0101_12*c_1001_10*c_1001_2 + c_0101_12 - c_1001_10*c_1001_2^2 + c_1001_2, c_0101_0 - c_0101_12*c_1001_10*c_1001_2^2 + c_0101_12*c_1001_10 - c_0101_12*c_1001_2^2 + c_1001_10*c_1001_2^2 - c_1001_10*c_1001_2 - c_1001_10 - c_1001_2^2 + 2*c_1001_2 - 1, c_0101_1 - c_0101_12*c_1001_10*c_1001_2^2 + c_0101_12*c_1001_10 - c_0101_12*c_1001_2^2 + c_1001_10*c_1001_2^2 - c_1001_10*c_1001_2 - c_1001_10 + c_1001_2^2 - 2*c_1001_2 + 1, c_0101_10 + c_0101_12 - 2*c_1001_10*c_1001_2^2 - 2*c_1001_2, c_0101_12^2 - 2*c_0101_12*c_1001_10*c_1001_2^2 - 2*c_0101_12*c_1001_2 + c_1001_10*c_1001_2^2 - c_1001_10 + 2*c_1001_2 - 2, c_0101_3 + 2*c_1001_2^2 - 2*c_1001_2, c_0101_8 - c_1001_2, c_1001_10^2 - c_1001_10*c_1001_2^2 + c_1001_10*c_1001_2 - c_1001_2 + 1, c_1001_2^3 - c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.370 Total time: 2.580 seconds, Total memory usage: 64.12MB