Magma V2.19-8 Tue Aug 20 2013 23:30:04 on localhost [Seed = 1443901448] Type ? for help. Type -D to quit. Loading file "L11a367__sl2_c2.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' : negation(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' : negation(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 + 15952576672/5866426793*c_0110_8^8 + 352822686838/5866426793*c_0110_8^7 + 8642022424/5866426793*c_0110_8^6 + 256792740886/5866426793*c_0110_8^5 + 1174109758290/5866426793*c_0110_8^4 + 1396127959618/5866426793*c_0110_8^3 + 222704560973/5866426793*c_0110_8^2 - 118128718106/5866426793*c_0110_8 - 72279512409/5866426793, c_0011_0 - 1, c_0011_3 + 81654918/345083929*c_0110_8^8 + 1826143298/345083929*c_0110_8^7 + 490324230/345083929*c_0110_8^6 + 1318905928/345083929*c_0110_8^5 + 6346398658/345083929*c_0110_8^4 + 8642730974/345083929*c_0110_8^3 + 3035582601/345083929*c_0110_8^2 - 318980463/345083929*c_0110_8 - 203979947/345083929, c_0011_4 + 148282619/345083929*c_0110_8^8 + 3274540569/345083929*c_0110_8^7 - 34827097/345083929*c_0110_8^6 + 2308674678/345083929*c_0110_8^5 + 11158900077/345083929*c_0110_8^4 + 12554920653/345083929*c_0110_8^3 + 1628144979/345083929*c_0110_8^2 - 455047809/345083929*c_0110_8 + 191262054/345083929, c_0101_0 - 1, c_0101_1 - 17274200/345083929*c_0110_8^8 - 312742250/345083929*c_0110_8^7 + 1503108565/345083929*c_0110_8^6 - 693656126/345083929*c_0110_8^5 - 167931409/345083929*c_0110_8^4 + 3349977516/345083929*c_0110_8^3 + 4248928479/345083929*c_0110_8^2 - 674211354/345083929*c_0110_8 - 342505479/345083929, c_0101_3 + 8872250/345083929*c_0110_8^8 + 218854914/345083929*c_0110_8^7 + 491236677/345083929*c_0110_8^6 - 144454831/345083929*c_0110_8^5 + 1239681497/345083929*c_0110_8^4 + 2114182890/345083929*c_0110_8^3 + 1365949357/345083929*c_0110_8^2 - 314991782/345083929*c_0110_8 + 162156145/345083929, c_0101_5 + 15441754/345083929*c_0110_8^8 + 359831518/345083929*c_0110_8^7 + 419766476/345083929*c_0110_8^6 + 397114096/345083929*c_0110_8^5 + 1318933516/345083929*c_0110_8^4 + 2886697737/345083929*c_0110_8^3 + 2185988918/345083929*c_0110_8^2 + 392474691/345083929*c_0110_8 - 471283221/345083929, c_0101_8 - 69169334/345083929*c_0110_8^8 - 1540565978/345083929*c_0110_8^7 - 279771870/345083929*c_0110_8^6 - 1221724953/345083929*c_0110_8^5 - 5311783890/345083929*c_0110_8^4 - 7003475320/345083929*c_0110_8^3 - 2154894775/345083929*c_0110_8^2 - 158424920/345083929*c_0110_8 + 238386225/345083929, c_0110_8^9 + 22*c_0110_8^8 - 2*c_0110_8^7 + 17*c_0110_8^6 + 71*c_0110_8^5 + 81*c_0110_8^4 + 6*c_0110_8^3 - 7*c_0110_8^2 - 3*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB