Magma V2.19-8 Tue Aug 20 2013 23:41:02 on localhost [Seed = 1495219642] Type ? for help. Type -D to quit. Loading file "L13a4987__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4987 geometric_solution 7.54969002 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 3 0132 0132 0132 3120 1 0 1 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 3 1 -4 -1 0 1 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 0.768046449893 1.444333508556 0 3 4 4 0132 3120 2103 0132 1 0 1 1 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 4 -4 0 1 0 3 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552206935328 0.528630783453 5 0 4 6 0132 0132 0213 0132 1 1 1 1 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 -3 3 0 0 0 0 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488408942229 0.428557639412 0 1 5 0 3120 3120 2031 0132 1 0 1 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 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108394486762 0.674953193434 1 2 1 7 2103 0213 0132 0132 1 0 1 1 0 1 0 -1 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 -3 0 3 -3 0 4 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055059899167 0.904596436339 2 7 7 3 0132 1023 1230 1302 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824567724697 0.426431762442 8 7 2 8 0132 2103 0132 1023 1 1 1 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 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203197287451 1.170610062428 5 6 4 5 1023 2103 0132 3012 1 0 1 1 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 -3 3 -1 0 1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824567724697 0.426431762442 6 9 9 6 0132 0132 1023 1023 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 1.623724899485 0.280819199509 9 8 8 9 3012 0132 1023 1230 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 1.639189255331 0.080898934695 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_9'], 's_2_8' : d['1'], 's_2_9' : 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_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' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : 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_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' : d['c_0011_6'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2374747038439/108385706580*c_0101_9^10 - 9152704994227/108385706580*c_0101_9^9 + 34892892204559/54192853290*c_0101_9^8 + 1679683726302/1806428443*c_0101_9^7 + 19161780438829/9032142215*c_0101_9^6 + 79209441991471/54192853290*c_0101_9^5 + 71526827861357/54192853290*c_0101_9^4 + 10584177542419/27096426645*c_0101_9^3 - 21464082924961/108385706580*c_0101_9^2 - 3449414215297/108385706580*c_0101_9 - 1345083038404/9032142215, c_0011_0 - 1, c_0011_3 - 155406406/1806428443*c_0101_9^10 + 831523197/1806428443*c_0101_9^9 - 5353125832/1806428443*c_0101_9^8 - 273836972/1806428443*c_0101_9^7 - 1665385592/1806428443*c_0101_9^6 + 14518395873/1806428443*c_0101_9^5 + 11095989608/1806428443*c_0101_9^4 + 8490705620/1806428443*c_0101_9^3 + 5799477558/1806428443*c_0101_9^2 - 2209102279/1806428443*c_0101_9 + 1916247306/1806428443, c_0011_4 - 47332786/1806428443*c_0101_9^10 + 72026204/1806428443*c_0101_9^9 - 1012009974/1806428443*c_0101_9^8 - 5125783956/1806428443*c_0101_9^7 - 10321276616/1806428443*c_0101_9^6 - 17778972494/1806428443*c_0101_9^5 - 13822131410/1806428443*c_0101_9^4 - 9435598070/1806428443*c_0101_9^3 - 1286762021/1806428443*c_0101_9^2 + 858400630/1806428443*c_0101_9 - 1114639489/1806428443, c_0011_6 - 144784218/1806428443*c_0101_9^10 + 715854176/1806428443*c_0101_9^9 - 4837591942/1806428443*c_0101_9^8 - 1677066582/1806428443*c_0101_9^7 - 6388451188/1806428443*c_0101_9^6 + 5078559330/1806428443*c_0101_9^5 - 2133211417/1806428443*c_0101_9^4 + 1519088102/1806428443*c_0101_9^3 - 330119209/1806428443*c_0101_9^2 - 1160759118/1806428443*c_0101_9 + 124139989/1806428443, c_0101_0 - 1, c_0101_3 - 155406406/1806428443*c_0101_9^10 + 831523197/1806428443*c_0101_9^9 - 5353125832/1806428443*c_0101_9^8 - 273836972/1806428443*c_0101_9^7 - 1665385592/1806428443*c_0101_9^6 + 14518395873/1806428443*c_0101_9^5 + 11095989608/1806428443*c_0101_9^4 + 8490705620/1806428443*c_0101_9^3 + 5799477558/1806428443*c_0101_9^2 - 2209102279/1806428443*c_0101_9 + 109818863/1806428443, c_0101_5 - 239939548/1806428443*c_0101_9^10 + 1088097914/1806428443*c_0101_9^9 - 7621023432/1806428443*c_0101_9^8 - 5718385099/1806428443*c_0101_9^7 - 14169686834/1806428443*c_0101_9^6 - 640523010/1806428443*c_0101_9^5 - 3214823202/1806428443*c_0101_9^4 - 368657256/1806428443*c_0101_9^3 + 824551470/1806428443*c_0101_9^2 - 1915896006/1806428443*c_0101_9 - 905792874/1806428443, c_0101_7 + 202739192/1806428443*c_0101_9^10 - 903549401/1806428443*c_0101_9^9 + 6365135806/1806428443*c_0101_9^8 + 5399620928/1806428443*c_0101_9^7 + 11986662208/1806428443*c_0101_9^6 + 3260576621/1806428443*c_0101_9^5 + 2726141802/1806428443*c_0101_9^4 + 944892450/1806428443*c_0101_9^3 - 4512715537/1806428443*c_0101_9^2 + 1350701649/1806428443*c_0101_9 - 801607817/1806428443, c_0101_8 - 49513876/1806428443*c_0101_9^10 + 160855148/1806428443*c_0101_9^9 - 1300867767/1806428443*c_0101_9^8 - 3137414914/1806428443*c_0101_9^7 - 4874040763/1806428443*c_0101_9^6 - 4955801682/1806428443*c_0101_9^5 - 251751197/1806428443*c_0101_9^4 - 1379931168/1806428443*c_0101_9^3 + 724776822/1806428443*c_0101_9^2 - 2178818880/1806428443*c_0101_9 - 367138853/1806428443, c_0101_9^11 - 4*c_0101_9^10 + 30*c_0101_9^9 + 38*c_0101_9^8 + 92*c_0101_9^7 + 56*c_0101_9^6 + 58*c_0101_9^5 + 18*c_0101_9^4 - 3*c_0101_9^3 + 6*c_0101_9^2 - 4*c_0101_9 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB