Magma V2.19-8 Wed Aug 21 2013 01:03:14 on localhost [Seed = 913321522] Type ? for help. Type -D to quit. Loading file "L14n18530__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18530 geometric_solution 12.63063418 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1230 0132 1 1 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 1 0 -1 0 0 -1 1 -9 1 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477369937774 0.898131864724 0 4 5 4 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768156035740 1.173043538576 5 0 6 0 2310 0132 0132 3012 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 -1 0 1 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 0.484013962521 0.831770680889 7 6 0 8 0132 1023 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 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 1 -1 -8 0 -1 9 1 -1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572641818713 0.579935644861 1 1 6 6 3201 0132 3120 2031 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 0.425732310370 0.405410547384 9 10 2 1 0132 0132 3201 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 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137904422705 0.873076220095 3 4 4 2 1023 1302 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 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 0.609298584868 0.596636294202 3 11 11 9 0132 0132 0321 0132 0 1 1 1 0 -1 1 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 0 0 0 0 2 -1 -1 8 0 -8 0 -8 8 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752085353747 0.847664201097 10 10 3 12 0321 2310 0132 0132 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 0 1 -1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752085353747 0.847664201097 5 12 7 12 0132 2031 0132 2103 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 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 0.317840810142 1.086754173169 8 5 11 8 0321 0132 2103 3201 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317840810142 1.086754173169 10 7 7 12 2103 0132 0321 2031 0 1 1 1 0 1 -1 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 -2 1 1 0 0 -1 1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752085353747 0.847664201097 9 11 8 9 1302 1302 0132 2103 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 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 0.752085353747 0.847664201097 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_2']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0110_12']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_0'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_12']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : negation(d['c_0101_5']), '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_10, c_0011_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_0110_12, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2248677/548800*c_0110_4^19 + 1073717/22400*c_0110_4^18 + 218856363/1097600*c_0110_4^17 + 1678689/7840*c_0110_4^16 - 193266589/219520*c_0110_4^15 - 773061449/274400*c_0110_4^14 - 187211481/274400*c_0110_4^13 + 572770983/68600*c_0110_4^12 + 2957693409/274400*c_0110_4^11 - 8705603831/1097600*c_0110_4^10 - 880112887/34300*c_0110_4^9 - 4083842393/548800*c_0110_4^8 + 570913753/21952*c_0110_4^7 + 25891867819/1097600*c_0110_4^6 - 2070168333/274400*c_0110_4^5 - 5359919179/274400*c_0110_4^4 - 205614049/34300*c_0110_4^3 + 66216593/13720*c_0110_4^2 + 33409951/8575*c_0110_4 + 14059401/17150, c_0011_0 - 1, c_0011_10 + 3/64*c_0110_4^19 + 1/2*c_0110_4^18 + 109/64*c_0110_4^17 - 1/64*c_0110_4^16 - 823/64*c_0110_4^15 - 681/32*c_0110_4^14 + 457/16*c_0110_4^13 + 3353/32*c_0110_4^12 + 763/64*c_0110_4^11 - 15021/64*c_0110_4^10 - 2827/16*c_0110_4^9 + 8739/32*c_0110_4^8 + 24055/64*c_0110_4^7 - 8211/64*c_0110_4^6 - 12769/32*c_0110_4^5 - 443/8*c_0110_4^4 + 1791/8*c_0110_4^3 + 381/4*c_0110_4^2 - 107/2*c_0110_4 - 35, c_0011_11 - 45/128*c_0110_4^19 - 461/128*c_0110_4^18 - 703/64*c_0110_4^17 + 979/128*c_0110_4^16 + 415/4*c_0110_4^15 + 1949/16*c_0110_4^14 - 10273/32*c_0110_4^13 - 49381/64*c_0110_4^12 + 35865/128*c_0110_4^11 + 8147/4*c_0110_4^10 + 46341/64*c_0110_4^9 - 22911/8*c_0110_4^8 - 300261/128*c_0110_4^7 + 33017/16*c_0110_4^6 + 46071/16*c_0110_4^5 - 829/2*c_0110_4^4 - 3469/2*c_0110_4^3 - 701/2*c_0110_4^2 + 426*c_0110_4 + 175, c_0011_12 - 1, c_0011_8 + 15/32*c_0110_4^19 + 305/64*c_0110_4^18 + 947/64*c_0110_4^17 - 45/8*c_0110_4^16 - 7473/64*c_0110_4^15 - 2269/16*c_0110_4^14 + 5151/16*c_0110_4^13 + 1509/2*c_0110_4^12 - 597/2*c_0110_4^11 - 115615/64*c_0110_4^10 - 415*c_0110_4^9 + 77679/32*c_0110_4^8 + 47151/32*c_0110_4^7 - 117101/64*c_0110_4^6 - 28435/16*c_0110_4^5 + 9857/16*c_0110_4^4 + 8437/8*c_0110_4^3 + 111/2*c_0110_4^2 - 261*c_0110_4 - 74, c_0101_0 - 3/128*c_0110_4^19 - 33/128*c_0110_4^18 - 23/32*c_0110_4^17 + 261/128*c_0110_4^16 + 945/64*c_0110_4^15 + 551/32*c_0110_4^14 - 1741/32*c_0110_4^13 - 9439/64*c_0110_4^12 + 2923/128*c_0110_4^11 + 26567/64*c_0110_4^10 + 16873/64*c_0110_4^9 - 17619/32*c_0110_4^8 - 86531/128*c_0110_4^7 + 18829/64*c_0110_4^6 + 23695/32*c_0110_4^5 + 1113/16*c_0110_4^4 - 3113/8*c_0110_4^3 - 571/4*c_0110_4^2 + 155/2*c_0110_4 + 42, c_0101_1 + 1/128*c_0110_4^19 + 11/128*c_0110_4^18 + 5/16*c_0110_4^17 + 13/128*c_0110_4^16 - 135/64*c_0110_4^15 - 17/4*c_0110_4^14 + 107/32*c_0110_4^13 + 1189/64*c_0110_4^12 + 1047/128*c_0110_4^11 - 2329/64*c_0110_4^10 - 2661/64*c_0110_4^9 + 1013/32*c_0110_4^8 + 9369/128*c_0110_4^7 + 193/64*c_0110_4^6 - 131/2*c_0110_4^5 - 497/16*c_0110_4^4 + 217/8*c_0110_4^3 + 101/4*c_0110_4^2 - 2*c_0110_4 - 7, c_0101_10 - 3/64*c_0110_4^19 - 1/2*c_0110_4^18 - 109/64*c_0110_4^17 + 1/64*c_0110_4^16 + 823/64*c_0110_4^15 + 681/32*c_0110_4^14 - 457/16*c_0110_4^13 - 3353/32*c_0110_4^12 - 763/64*c_0110_4^11 + 15021/64*c_0110_4^10 + 2827/16*c_0110_4^9 - 8739/32*c_0110_4^8 - 24055/64*c_0110_4^7 + 8211/64*c_0110_4^6 + 12769/32*c_0110_4^5 + 443/8*c_0110_4^4 - 1791/8*c_0110_4^3 - 381/4*c_0110_4^2 + 107/2*c_0110_4 + 35, c_0101_2 - 1/128*c_0110_4^19 - 11/128*c_0110_4^18 - 5/16*c_0110_4^17 - 13/128*c_0110_4^16 + 135/64*c_0110_4^15 + 17/4*c_0110_4^14 - 107/32*c_0110_4^13 - 1189/64*c_0110_4^12 - 1047/128*c_0110_4^11 + 2329/64*c_0110_4^10 + 2661/64*c_0110_4^9 - 1013/32*c_0110_4^8 - 9369/128*c_0110_4^7 - 193/64*c_0110_4^6 + 131/2*c_0110_4^5 + 497/16*c_0110_4^4 - 217/8*c_0110_4^3 - 101/4*c_0110_4^2 + 2*c_0110_4 + 7, c_0101_5 - 45/128*c_0110_4^19 - 461/128*c_0110_4^18 - 703/64*c_0110_4^17 + 979/128*c_0110_4^16 + 415/4*c_0110_4^15 + 1949/16*c_0110_4^14 - 10273/32*c_0110_4^13 - 49381/64*c_0110_4^12 + 35865/128*c_0110_4^11 + 8147/4*c_0110_4^10 + 46341/64*c_0110_4^9 - 22911/8*c_0110_4^8 - 300261/128*c_0110_4^7 + 33017/16*c_0110_4^6 + 46071/16*c_0110_4^5 - 829/2*c_0110_4^4 - 3469/2*c_0110_4^3 - 701/2*c_0110_4^2 + 426*c_0110_4 + 175, c_0101_6 + 1, c_0110_12 + 9/128*c_0110_4^19 + 57/128*c_0110_4^18 - 41/64*c_0110_4^17 - 1391/128*c_0110_4^16 - 21*c_0110_4^15 + 77/2*c_0110_4^14 + 5241/32*c_0110_4^13 + 2217/64*c_0110_4^12 - 60517/128*c_0110_4^11 - 921/2*c_0110_4^10 + 39459/64*c_0110_4^9 + 1110*c_0110_4^8 - 24863/128*c_0110_4^7 - 20275/16*c_0110_4^6 - 829/2*c_0110_4^5 + 5467/8*c_0110_4^4 + 3897/8*c_0110_4^3 - 361/4*c_0110_4^2 - 333/2*c_0110_4 - 39, c_0110_4^20 + 11*c_0110_4^19 + 40*c_0110_4^18 + 13*c_0110_4^17 - 270*c_0110_4^16 - 544*c_0110_4^15 + 428*c_0110_4^14 + 2378*c_0110_4^13 + 1047*c_0110_4^12 - 4658*c_0110_4^11 - 5322*c_0110_4^10 + 4052*c_0110_4^9 + 9369*c_0110_4^8 + 386*c_0110_4^7 - 8384*c_0110_4^6 - 3976*c_0110_4^5 + 3472*c_0110_4^4 + 3232*c_0110_4^3 - 128*c_0110_4^2 - 896*c_0110_4 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.430 seconds, Total memory usage: 32.09MB