Magma V2.19-8 Wed Aug 21 2013 01:11:44 on localhost [Seed = 2017355345] Type ? for help. Type -D to quit. Loading file "L14n57922__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57922 geometric_solution 12.38686559 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 0 1 2 1302 2031 0132 0132 2 2 2 2 0 1 1 -2 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -3 5 2 0 0 -2 2 -2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470103846984 0.597093121730 3 4 5 0 0132 0132 0132 0132 2 2 2 2 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351077558016 0.932558168024 4 6 0 7 2310 0132 0132 0132 2 2 0 2 0 -1 2 -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 3 -5 2 0 0 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807175914750 1.426646599142 1 8 6 8 0132 0132 1230 0213 1 2 2 2 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 -1 1 0 0 0 0 0 -2 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203588960597 0.956999155423 7 1 2 9 1302 0132 3201 0132 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176136729815 0.714307592012 10 11 8 1 0132 0132 3120 0132 2 2 2 1 0 1 0 -1 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 0 3 0 0 0 0 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105601792896 1.146348104769 12 2 9 3 0132 0132 3201 3012 2 1 2 0 0 1 0 -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 -3 0 3 4 0 -5 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 0.648458155802 0.892298055411 10 4 2 8 2310 2031 0132 3120 2 2 2 0 0 0 1 -1 0 0 -1 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 -2 2 0 0 2 -2 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633330756593 0.598381519498 7 3 5 3 3120 0132 3120 0213 1 2 2 2 0 0 0 0 -1 0 0 1 -1 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 1 -1 2 0 0 -2 3 -3 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203588960597 0.956999155423 6 12 4 11 2310 0213 0132 3120 2 0 1 2 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 0 0 0 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864128231661 0.708066139677 5 12 7 11 0132 2310 3201 1023 0 2 1 2 0 1 0 -1 0 0 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 -1 1 0 0 -3 3 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746461331214 1.427564883999 9 5 12 10 3120 0132 0213 1023 2 0 1 2 0 -1 0 1 0 0 -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 3 0 -3 0 0 1 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467411083165 0.572356813392 6 11 9 10 0132 0213 0213 3201 2 1 0 2 0 0 0 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 0 0 0 -4 0 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064416728282 0.522145064181 ==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_0011_7']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0101_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_9'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_1'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_6'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], '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' : negation(d['c_0101_6']), 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_9'], 's_2_9' : d['1']})} 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_1, c_0011_10, c_0011_12, c_0011_7, c_0011_9, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0101_8, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 201513794158971/1122285264178*c_1001_1^8 - 284909750966589/1122285264178*c_1001_1^7 + 2603451069733929/1122285264178*c_1001_1^6 - 27815530476893/24397505743*c_1001_1^5 + 937876410889787/561142632089*c_1001_1^4 + 1503280654911871/1122285264178*c_1001_1^3 + 654610055255965/1122285264178*c_1001_1^2 + 1109009293856470/561142632089*c_1001_1 + 2103592609662469/1122285264178, c_0011_0 - 1, c_0011_1 - 436512591/1876731211*c_1001_1^8 + 584423136/1876731211*c_1001_1^7 - 5608471026/1876731211*c_1001_1^6 + 2281707249/1876731211*c_1001_1^5 - 3885721480/1876731211*c_1001_1^4 - 4646380647/1876731211*c_1001_1^3 - 371519044/1876731211*c_1001_1^2 - 5435819007/1876731211*c_1001_1 - 3757247173/1876731211, c_0011_10 + 284201220/1876731211*c_1001_1^8 - 481400184/1876731211*c_1001_1^7 + 3699679489/1876731211*c_1001_1^6 - 2730200472/1876731211*c_1001_1^5 + 2025782269/1876731211*c_1001_1^4 + 1681633328/1876731211*c_1001_1^3 - 712492764/1876731211*c_1001_1^2 + 2407330081/1876731211*c_1001_1 + 2018383440/1876731211, c_0011_12 - 1, c_0011_7 - 680376507/3753462422*c_1001_1^8 + 708279543/1876731211*c_1001_1^7 - 9526216403/3753462422*c_1001_1^6 + 5220215972/1876731211*c_1001_1^5 - 5399791139/1876731211*c_1001_1^4 + 651256081/1876731211*c_1001_1^3 - 2341556275/3753462422*c_1001_1^2 - 3507901953/1876731211*c_1001_1 - 1110011997/3753462422, c_0011_9 - 1, c_0101_1 + 193913295/1876731211*c_1001_1^8 - 276891582/1876731211*c_1001_1^7 + 2557132649/1876731211*c_1001_1^6 - 1341670478/1876731211*c_1001_1^5 + 2552245322/1876731211*c_1001_1^4 + 974439842/1876731211*c_1001_1^3 + 1521076384/1876731211*c_1001_1^2 + 2962670124/1876731211*c_1001_1 + 854833363/1876731211, c_0101_2 + 325064844/1876731211*c_1001_1^8 - 451574610/1876731211*c_1001_1^7 + 4130964150/1876731211*c_1001_1^6 - 1970198183/1876731211*c_1001_1^5 + 2441932621/1876731211*c_1001_1^4 + 1767161480/1876731211*c_1001_1^3 + 2417283182/1876731211*c_1001_1^2 + 3514646856/1876731211*c_1001_1 + 3441235663/1876731211, c_0101_5 - 242599296/1876731211*c_1001_1^8 + 307531554/1876731211*c_1001_1^7 - 3051338377/1876731211*c_1001_1^6 + 940036771/1876731211*c_1001_1^5 - 1333476158/1876731211*c_1001_1^4 - 3671940805/1876731211*c_1001_1^3 + 1149557340/1876731211*c_1001_1^2 - 2473148883/1876731211*c_1001_1 - 2902413810/1876731211, c_0101_6 - 675404973/3753462422*c_1001_1^8 + 281715453/1876731211*c_1001_1^7 - 7876235949/3753462422*c_1001_1^6 - 725726226/1876731211*c_1001_1^5 + 238665590/1876731211*c_1001_1^4 - 7201303717/1876731211*c_1001_1^3 + 388213989/3753462422*c_1001_1^2 - 6048268235/1876731211*c_1001_1 - 12332218339/3753462422, c_0101_8 - 408609555/1876731211*c_1001_1^8 + 725249604/1876731211*c_1001_1^7 - 5491551509/1876731211*c_1001_1^6 + 4370053772/1876731211*c_1001_1^5 - 4778789665/1876731211*c_1001_1^4 - 3011377098/1876731211*c_1001_1^3 - 854544008/1876731211*c_1001_1^2 - 4395903156/1876731211*c_1001_1 - 2838104073/1876731211, c_0101_9 + 675404973/3753462422*c_1001_1^8 - 281715453/1876731211*c_1001_1^7 + 7876235949/3753462422*c_1001_1^6 + 725726226/1876731211*c_1001_1^5 - 238665590/1876731211*c_1001_1^4 + 7201303717/1876731211*c_1001_1^3 - 388213989/3753462422*c_1001_1^2 + 6048268235/1876731211*c_1001_1 + 8578755917/3753462422, c_1001_1^9 - c_1001_1^8 + 37/3*c_1001_1^7 - c_1001_1^6 + 20/3*c_1001_1^5 + 34/3*c_1001_1^4 + 19/3*c_1001_1^3 + 37/3*c_1001_1^2 + 15*c_1001_1 + 13/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB