Magma V2.19-8 Tue Aug 20 2013 23:57:49 on localhost [Seed = 1191260056] Type ? for help. Type -D to quit. Loading file "L14n35561__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35561 geometric_solution 10.90413168 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 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 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088554007197 0.457695474854 0 0 4 4 0132 2310 2310 0132 0 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.592530962377 2.106022534343 3 0 6 5 2310 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 -7 0 0 7 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768948317646 1.468684419624 7 8 2 0 0132 0132 3201 0132 0 1 1 1 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 0 3 -3 -7 0 7 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 0.061774927168 1.049395614405 9 1 1 10 0132 3201 0132 0132 0 1 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 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088554007197 0.457695474854 11 8 2 11 0132 0213 0132 3201 0 1 0 1 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 1 0 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544803218147 0.520706992190 9 11 8 2 2031 3201 1302 0132 0 1 0 1 0 0 0 0 -1 0 1 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 6 0 -7 1 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373579366739 0.973104921603 3 9 7 7 0132 2310 2031 1302 1 1 1 1 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 0 -1 1 7 0 -1 -6 -1 0 0 1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368907975558 1.154509362781 6 3 5 10 2031 0132 0213 0321 0 0 1 1 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 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467709845843 0.726557729273 4 10 6 7 0132 2310 1302 3201 1 1 1 0 0 0 1 -1 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 -6 6 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.061774927168 1.049395614405 11 8 4 9 3120 0321 0132 3201 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768948317646 1.468684419624 5 5 6 10 0132 2310 2310 3120 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 1 -1 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 0.040748745663 0.916824311535 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_6']), '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_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' : negation(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' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_0011_4'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], '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_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : negation(d['c_0101_3']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5787034120337799/290205465879680*c_1001_1^5 + 10309510549416999/145102732939840*c_1001_1^4 + 23135502788862121/290205465879680*c_1001_1^3 + 8438022625605267/290205465879680*c_1001_1^2 + 1013031213077301/72551366469920*c_1001_1 + 3195959605180187/290205465879680, c_0011_0 - 1, c_0011_10 + 513667/297856*c_1001_1^5 + 914057/148928*c_1001_1^4 + 2398561/297856*c_1001_1^3 + 1408599/297856*c_1001_1^2 + 24563/37232*c_1001_1 + 121179/297856, c_0011_11 + 513667/297856*c_1001_1^5 + 914057/148928*c_1001_1^4 + 2398561/297856*c_1001_1^3 + 1408599/297856*c_1001_1^2 + 24563/37232*c_1001_1 + 121179/297856, c_0011_3 + 736715/595712*c_1001_1^5 + 1167781/297856*c_1001_1^4 + 4308977/595712*c_1001_1^3 + 5297423/595712*c_1001_1^2 + 247493/37232*c_1001_1 + 1043547/595712, c_0011_4 - 1, c_0011_6 + 22981/22912*c_1001_1^5 + 42119/11456*c_1001_1^4 + 95015/22912*c_1001_1^3 + 23601/22912*c_1001_1^2 - 2081/2864*c_1001_1 - 6755/22912, c_0101_0 - 1, c_0101_1 + 5341/5728*c_1001_1^5 + 4141/2864*c_1001_1^4 - 8269/5728*c_1001_1^3 - 11647/5728*c_1001_1^2 + 159/1432*c_1001_1 + 1433/5728, c_0101_2 + 72079/37232*c_1001_1^5 + 203261/37232*c_1001_1^4 + 123117/18616*c_1001_1^3 + 185241/37232*c_1001_1^2 + 112789/37232*c_1001_1 + 6355/9308, c_0101_3 + 181447/297856*c_1001_1^5 + 195881/148928*c_1001_1^4 + 417221/297856*c_1001_1^3 + 592731/297856*c_1001_1^2 + 40629/18616*c_1001_1 + 538039/297856, c_1001_0 + 22981/22912*c_1001_1^5 + 42119/11456*c_1001_1^4 + 95015/22912*c_1001_1^3 + 23601/22912*c_1001_1^2 - 2081/2864*c_1001_1 - 6755/22912, c_1001_1^6 + 205/49*c_1001_1^5 + 325/49*c_1001_1^4 + 250/49*c_1001_1^3 + 115/49*c_1001_1^2 + c_1001_1 + 31/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB