Magma V2.19-8 Tue Aug 20 2013 23:40:03 on localhost [Seed = 391214008] Type ? for help. Type -D to quit. Loading file "L12n121__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n121 geometric_solution 9.65949854 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 -1 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 0.587561064015 0.537552236428 0 5 6 6 0132 0132 0213 0132 0 1 1 1 0 -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 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 0 0 0.669822141060 0.777591397992 7 0 9 8 0132 0132 0132 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 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 0.431774095017 0.840182307463 5 5 6 0 3120 1230 1230 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 1 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669822141060 0.777591397992 8 7 0 9 0132 0132 0132 0132 1 1 1 1 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 1 0 0 0 -1 1 0 4 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431774095017 0.840182307463 8 1 3 3 1023 0132 3012 3120 0 1 1 1 0 2 -3 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 -2 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 0.669822141060 0.777591397992 8 1 1 3 3012 0213 0132 3012 0 1 1 1 0 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 -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 0.462650527159 1.089573575135 2 4 9 9 0132 0132 2103 0321 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 1 -1 0 0 0 -1 1 0 -1 0 1 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056417888615 1.303235290550 4 5 2 6 0132 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587561064015 0.537552236428 7 7 4 2 2103 0321 0132 0132 1 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 0 0 0 1 0 -1 0 1 -1 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056417888615 1.303235290550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0101_5'], 's_2_8' : negation(d['1']), 's_2_9' : d['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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_6'], 'c_1100_8' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0110_6'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 13406305/3252236*c_1001_2^7 - 15971533/1626118*c_1001_2^6 + 12739108/813059*c_1001_2^5 - 9246561/813059*c_1001_2^4 + 25131291/1626118*c_1001_2^3 - 10419226/813059*c_1001_2^2 + 14737071/1626118*c_1001_2 - 1646156/813059, c_0011_0 - 1, c_0011_3 + 1, c_0011_6 - 430/4811*c_1001_2^7 + 6281/4811*c_1001_2^6 - 9440/4811*c_1001_2^5 + 18043/4811*c_1001_2^4 - 10848/4811*c_1001_2^3 + 25052/4811*c_1001_2^2 - 5504/4811*c_1001_2 + 11249/4811, c_0011_9 + 3090/4811*c_1001_2^7 - 4298/4811*c_1001_2^6 + 6524/4811*c_1001_2^5 - 3453/4811*c_1001_2^4 + 10824/4811*c_1001_2^3 - 899/4811*c_1001_2^2 + 1064/4811*c_1001_2 - 2741/4811, c_0101_0 + 17845/4811*c_1001_2^7 - 8084/4811*c_1001_2^6 + 16502/4811*c_1001_2^5 + 28192/4811*c_1001_2^4 + 46068/4811*c_1001_2^3 + 47628/4811*c_1001_2^2 + 16732/4811*c_1001_2 + 16672/4811, c_0101_3 - 1075/283*c_1001_2^7 + 845/283*c_1001_2^6 - 1526/283*c_1001_2^5 - 597/283*c_1001_2^4 - 3348/283*c_1001_2^3 - 1328/283*c_1001_2^2 - 1308/283*c_1001_2 - 319/283, c_0101_5 - 430/4811*c_1001_2^7 + 6281/4811*c_1001_2^6 - 9440/4811*c_1001_2^5 + 18043/4811*c_1001_2^4 - 10848/4811*c_1001_2^3 + 25052/4811*c_1001_2^2 - 5504/4811*c_1001_2 + 11249/4811, c_0101_7 + c_1001_2, c_0110_6 - 1, c_1001_2^8 - 6/5*c_1001_2^7 + 12/5*c_1001_2^6 - 4/5*c_1001_2^5 + 4*c_1001_2^4 + 12/5*c_1001_2^2 + 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB