Magma V2.19-8 Wed Aug 21 2013 01:11:21 on localhost [Seed = 307497936] Type ? for help. Type -D to quit. Loading file "L14n56975__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56975 geometric_solution 11.66151460 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 0 0 -1 0 1 -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 1 1 -2 2 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 1.477523200575 0.927248550508 0 5 7 6 0132 0132 0132 0132 2 0 0 2 0 0 0 0 1 0 0 -1 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 0 0 0 -2 0 1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093064650172 1.176936007612 8 0 5 9 0132 0132 2031 0132 2 2 0 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017425355703 1.150487034239 10 8 9 0 0132 1230 1302 0132 2 0 0 1 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 -1 1 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448193771024 0.442628509613 11 12 0 9 0132 0132 0132 0321 2 0 1 2 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 2 -2 -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 0.742583145416 0.486425722800 12 1 6 2 3201 0132 2031 1302 2 2 2 0 0 0 0 0 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 0 0 0 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 0.491764136109 0.955367267975 10 11 1 5 2103 0321 0132 1302 2 0 2 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 0 0 0 0 0 -1 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 0.395037662127 0.904399623746 10 9 12 1 1302 1302 2103 0132 2 0 2 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 0 0 0 0 0 0 1 0 0 -1 -1 2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251790051089 1.069580916719 2 12 3 11 0132 3201 3012 3201 1 2 2 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 4 -4 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 0.316492189795 0.269133340808 3 4 2 7 2031 0321 0132 2031 2 2 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 0 0 0 0 0 0 0 0 2 0 -2 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 -0.333296622386 0.916729919008 3 7 6 11 0132 2031 2103 0132 2 0 1 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 -1 0 0 0 0 0 -3 -1 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162949804054 0.922135771026 4 8 10 6 0132 2310 0132 0321 2 0 2 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 0 0 1 0 0 -1 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693729901765 1.094879368545 7 4 8 5 2103 0132 2310 2310 2 0 2 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 0 0 0.627613715296 0.706955698077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0110_5']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : d['c_0011_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2473423894728099/80392755863*c_1001_1^6 + 6750428547226428/80392755863*c_1001_1^5 + 2210654956581056/80392755863*c_1001_1^4 - 68813519659703/1640668487*c_1001_1^3 + 236663467763048/80392755863*c_1001_1^2 - 22123878679615/4231197677*c_1001_1 + 353599926717040/80392755863, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 11392407/10158938*c_1001_1^6 - 20466360/5079469*c_1001_1^5 - 36004717/10158938*c_1001_1^4 + 8191245/10158938*c_1001_1^3 + 12027447/5079469*c_1001_1^2 + 4624411/5079469*c_1001_1 - 7205543/10158938, c_0011_6 + 57118365/5079469*c_1001_1^6 + 147485394/5079469*c_1001_1^5 + 22820991/5079469*c_1001_1^4 - 105061804/5079469*c_1001_1^3 + 5131034/5079469*c_1001_1^2 - 6540638/5079469*c_1001_1 + 6225451/5079469, c_0011_7 - 33974154/5079469*c_1001_1^6 - 192473073/10158938*c_1001_1^5 - 89442719/10158938*c_1001_1^4 + 39173490/5079469*c_1001_1^3 + 15408649/10158938*c_1001_1^2 + 7987359/10158938*c_1001_1 - 6029817/10158938, c_0011_9 + 44721801/5079469*c_1001_1^6 + 259934733/10158938*c_1001_1^5 + 100925279/10158938*c_1001_1^4 - 76843025/5079469*c_1001_1^3 - 13103153/10158938*c_1001_1^2 + 6207667/10158938*c_1001_1 + 2243863/10158938, c_0101_0 - 1, c_0101_2 + 2414448/5079469*c_1001_1^6 + 6293862/5079469*c_1001_1^5 - 707148/5079469*c_1001_1^4 - 10855558/5079469*c_1001_1^3 - 11730485/5079469*c_1001_1^2 - 2581651/5079469*c_1001_1 + 2522580/5079469, c_0101_5 + 6036120/5079469*c_1001_1^6 + 15734655/5079469*c_1001_1^5 - 1767870/5079469*c_1001_1^4 - 27138895/5079469*c_1001_1^3 - 6468602/5079469*c_1001_1^2 + 16403483/5079469*c_1001_1 + 1226981/5079469, c_0101_8 + 10022373/5079469*c_1001_1^6 + 16325757/5079469*c_1001_1^5 - 26130386/5079469*c_1001_1^4 - 33958089/5079469*c_1001_1^3 + 9157120/5079469*c_1001_1^2 - 7052869/5079469*c_1001_1 + 3136263/5079469, c_0110_5 + 48185847/5079469*c_1001_1^6 + 139715019/5079469*c_1001_1^5 + 57521249/5079469*c_1001_1^4 - 65351018/5079469*c_1001_1^3 - 1666619/5079469*c_1001_1^2 - 12540466/5079469*c_1001_1 + 6344298/5079469, c_0110_6 - 35023752/5079469*c_1001_1^6 - 99690327/5079469*c_1001_1^5 - 52487117/5079469*c_1001_1^4 + 16825925/5079469*c_1001_1^3 - 8911118/5079469*c_1001_1^2 + 17056328/5079469*c_1001_1 - 5714695/5079469, c_1001_1^7 + 23/9*c_1001_1^6 + 34/81*c_1001_1^5 - 41/27*c_1001_1^4 + 1/3*c_1001_1^3 - 5/27*c_1001_1^2 + 14/81*c_1001_1 - 2/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB