Magma V2.19-8 Tue Aug 20 2013 23:30:03 on localhost [Seed = 1814694453] Type ? for help. Type -D to quit. Loading file "L11a367__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a367 geometric_solution 7.45589284 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 0 -1 1 0 -1 0 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 0.927032066978 1.122615416950 0 0 5 4 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 4 -3 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 0.562649308620 0.529622055424 6 0 6 7 0132 0132 3012 0132 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804519990353 1.929184564991 6 7 5 0 2103 1023 3120 0132 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.131725386879 0.981923837189 6 5 1 5 3120 1023 0132 0321 1 1 0 1 0 0 -1 1 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 3 -3 0 0 1 -1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708879790839 0.543172369596 4 4 3 1 1023 0321 3120 0132 1 1 0 1 0 -1 0 1 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 3 1 -4 0 0 0 0 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766535074687 1.430201888409 2 2 3 4 0132 1230 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.051989841026 0.513085706436 3 8 2 8 1023 0132 0132 2310 1 1 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 0 0 0.342368540881 0.567532331322 7 7 8 8 3201 0132 2031 1302 1 1 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 0 0 0.518161675236 0.089835750402 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_8' : negation(d['c_0110_8']), 's_2_8' : d['1'], '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_0_8' : 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_8' : d['c_0101_8'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_8']), '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_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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0110_8'], '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_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 36677056678/3067943955*c_0110_8^8 - 801946909204/3067943955*c_0110_8^7 - 1284077048428/3067943955*c_0110_8^6 - 2472432264542/3067943955*c_0110_8^5 - 789284059834/1022647985*c_0110_8^4 - 511384720586/613588791*c_0110_8^3 - 26254306159/1022647985*c_0110_8^2 - 807765800092/3067943955*c_0110_8 - 76038052937/3067943955, c_0011_0 - 1, c_0011_3 + 52615590/204529597*c_0110_8^8 + 1154682902/204529597*c_0110_8^7 + 1934751930/204529597*c_0110_8^6 + 3690771816/204529597*c_0110_8^5 + 3589184514/204529597*c_0110_8^4 + 3748374442/204529597*c_0110_8^3 + 296269559/204529597*c_0110_8^2 + 935436115/204529597*c_0110_8 + 221441507/204529597, c_0011_4 + 14929821/204529597*c_0110_8^8 + 308956445/204529597*c_0110_8^7 + 134696667/204529597*c_0110_8^6 + 269210270/204529597*c_0110_8^5 - 428273899/204529597*c_0110_8^4 - 441354211/204529597*c_0110_8^3 - 1555422137/204529597*c_0110_8^2 + 149367211/204529597*c_0110_8 - 192530610/204529597, c_0101_0 - 1, c_0101_1 - 5209966/204529597*c_0110_8^8 - 102662906/204529597*c_0110_8^7 + 63766375/204529597*c_0110_8^6 + 36909040/204529597*c_0110_8^5 + 245874095/204529597*c_0110_8^4 + 120544948/204529597*c_0110_8^3 + 426782385/204529597*c_0110_8^2 - 518264992/204529597*c_0110_8 + 26260405/204529597, c_0101_3 + 18811914/204529597*c_0110_8^8 + 400852578/204529597*c_0110_8^7 + 430763529/204529597*c_0110_8^6 + 926139697/204529597*c_0110_8^5 + 548445661/204529597*c_0110_8^4 + 602438010/204529597*c_0110_8^3 - 562725319/204529597*c_0110_8^2 + 286309298/204529597*c_0110_8 - 28786171/204529597, c_0101_5 + 6473866/204529597*c_0110_8^8 + 149233230/204529597*c_0110_8^7 + 390711828/204529597*c_0110_8^6 + 619301520/204529597*c_0110_8^5 + 782915384/204529597*c_0110_8^4 + 668305691/204529597*c_0110_8^3 + 200381714/204529597*c_0110_8^2 - 16161683/204529597*c_0110_8 - 73886723/204529597, c_0101_8 + 39013642/204529597*c_0110_8^8 + 856493230/204529597*c_0110_8^7 + 1440222026/204529597*c_0110_8^6 + 2727723079/204529597*c_0110_8^5 + 2794864758/204529597*c_0110_8^4 + 3025391484/204529597*c_0110_8^3 + 432212493/204529597*c_0110_8^2 + 962862212/204529597*c_0110_8 + 223967273/204529597, c_0110_8^9 + 22*c_0110_8^8 + 38*c_0110_8^7 + 73*c_0110_8^6 + 75*c_0110_8^5 + 81*c_0110_8^4 + 14*c_0110_8^3 + 25*c_0110_8^2 + 5*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB