Magma V2.19-8 Tue Aug 20 2013 23:56:16 on localhost [Seed = 3920593404] Type ? for help. Type -D to quit. Loading file "L14n15981__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15981 geometric_solution 11.87510630 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793973871991 0.928341698082 0 5 7 6 0132 0132 0132 0132 0 1 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 -2 0 2 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 0.588096801455 0.968858237316 8 0 10 9 0132 0132 0132 0132 1 0 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 0 0 0 1 0 0 -1 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588096801455 0.968858237316 4 8 11 0 1023 0132 0132 0132 1 1 1 1 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 1 -1 1 0 -3 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594378122924 0.611071419145 5 3 0 11 0132 1023 0132 3201 1 1 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 0 0 0 0 0 0 0 0 -1 1 0 2 0 -2 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 0.594378122924 0.611071419145 4 1 8 9 0132 0132 1230 1230 0 1 1 1 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 2 -1 -1 -2 0 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 0.592711149504 0.725025844381 11 10 1 9 2310 1023 0132 1023 0 1 1 1 0 0 -1 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 0 -2 2 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 0.399895579964 0.660842772982 9 8 10 1 1230 1230 1023 0132 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528558429290 1.012636448689 2 3 7 5 0132 0132 3012 3012 1 0 1 1 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 -1 0 0 1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592711149504 0.725025844381 5 7 2 6 3012 3012 0132 1023 1 0 1 1 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 1 0 1 -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 0.528558429290 1.012636448689 6 11 7 2 1023 1023 1023 0132 1 0 1 1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399895579964 0.660842772982 10 4 6 3 1023 2310 3201 0132 1 1 1 1 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 1 0 -1 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 0.871145706378 1.062647692586 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_5']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], '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_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 634393/1889292*c_1100_1^7 - 12015637/9446460*c_1100_1^5 + 26810749/15744100*c_1100_1^3 - 18737941/23616150*c_1100_1, c_0011_0 - 1, c_0011_10 + 215/244*c_1100_1^6 - 78/61*c_1100_1^4 + 618/305*c_1100_1^2 - 3747/1220, c_0011_7 - 455/488*c_1100_1^7 + 125/488*c_1100_1^6 + 118/61*c_1100_1^5 - 75/488*c_1100_1^4 - 583/305*c_1100_1^3 + 25/488*c_1100_1^2 + 6199/2440*c_1100_1 - 27/122, c_0011_9 - 455/488*c_1100_1^7 - 125/488*c_1100_1^6 + 118/61*c_1100_1^5 + 75/488*c_1100_1^4 - 583/305*c_1100_1^3 - 25/488*c_1100_1^2 + 6199/2440*c_1100_1 + 27/122, c_0101_0 + 125/488*c_1100_1^7 - 85/122*c_1100_1^6 - 75/488*c_1100_1^5 + 387/488*c_1100_1^4 + 25/488*c_1100_1^3 - 2597/2440*c_1100_1^2 - 149/122*c_1100_1 + 3067/2440, c_0101_10 - 125/488*c_1100_1^7 + 45/244*c_1100_1^6 + 75/488*c_1100_1^5 - 237/488*c_1100_1^4 - 25/488*c_1100_1^3 + 2347/2440*c_1100_1^2 + 27/122*c_1100_1 - 1987/2440, c_0101_11 + 5/244*c_1100_1^6 + 241/244*c_1100_1^4 - 971/1220*c_1100_1^2 + 629/305, c_0101_2 - 125/488*c_1100_1^7 - 45/244*c_1100_1^6 + 75/488*c_1100_1^5 + 237/488*c_1100_1^4 - 25/488*c_1100_1^3 - 2347/2440*c_1100_1^2 + 27/122*c_1100_1 + 1987/2440, c_0101_3 - 125/488*c_1100_1^7 - 85/122*c_1100_1^6 + 75/488*c_1100_1^5 + 387/488*c_1100_1^4 - 25/488*c_1100_1^3 - 2597/2440*c_1100_1^2 + 149/122*c_1100_1 + 3067/2440, c_0101_5 + 215/244*c_1100_1^6 - 78/61*c_1100_1^4 + 618/305*c_1100_1^2 - 2527/1220, c_0101_8 - 1, c_1100_1^8 - 14/5*c_1100_1^6 + 99/25*c_1100_1^4 - 118/25*c_1100_1^2 + 89/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB