Magma V2.19-8 Wed Aug 21 2013 00:51:16 on localhost [Seed = 1545226533] Type ? for help. Type -D to quit. Loading file "L11a260__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a260 geometric_solution 12.26614721 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 1 1 0 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 1 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616593529929 1.005309342781 0 4 4 0 0132 0132 1302 1302 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 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556673673605 0.722810208336 3 0 5 4 0213 0132 0132 3012 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718193305890 0.592337584438 2 6 0 5 0213 0132 0132 0132 1 1 1 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 -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 0.129157532044 0.494900377994 1 1 2 7 2031 0132 1230 0132 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 0 0 0 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 0.331194516918 0.868407207822 8 6 3 2 0132 0321 0132 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444642782370 1.200683370192 9 3 10 5 0132 0132 0132 0321 1 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 0 0 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 0 0 0 0 0.745048388418 0.935318766992 11 11 4 8 0132 1302 0132 2103 1 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 0 0 0 0 0 0 0 1 0 -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 0.688691433340 0.638835036455 5 12 9 7 0132 0132 0213 2103 1 1 1 0 0 -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 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 0.198533979667 1.699957336931 6 8 12 10 0132 0213 1302 1230 1 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 1 -1 0 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 1.013259822177 1.667077559625 9 12 11 6 3012 0213 0321 0132 1 1 1 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 0 0 0 0 0 0 0 -1 0 1 0 0 0 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 0.549529298964 0.377232342009 7 12 10 7 0132 0321 0321 2031 1 1 0 1 0 0 1 -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 0 0 0 -1 0 1 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 0.616424254810 1.264961692246 9 8 10 11 2031 0132 0213 0321 1 1 0 1 0 1 -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 0 0 0 0 -1 1 0 1 0 -1 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 0.429826044396 0.834170691232 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_11'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : negation(d['c_0011_12']), '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_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0101_10']})} 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_3, c_0101_0, c_0101_10, c_0101_5, c_0101_7, c_1001_10, c_1001_11, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 26029369999117/4539412800*c_1001_4^18 - 261874763439659/2269706400*c_1001_4^17 + 1604880572500351/1513137600*c_1001_4^16 - 2241079583695781/378284400*c_1001_4^15 + 51179481205959709/2269706400*c_1001_4^14 - 15640320247405369/252189600*c_1001_4^13 + 23020426205683861/181576512*c_1001_4^12 - 437125240051831433/2269706400*c_1001_4^11 + 938527977430820939/4539412800*c_1001_4^10 - 2032416731840633/16567200*c_1001_4^9 - 222379631319868667/4539412800*c_1001_4^8 + 518773082548995589/2269706400*c_1001_4^7 - 731422393578259129/2269706400*c_1001_4^6 + 336579233607261793/1134853200*c_1001_4^5 - 1889265219334247/9617400*c_1001_4^4 + 213978240768919469/2269706400*c_1001_4^3 - 143823029298606703/4539412800*c_1001_4^2 + 7761757208936971/1134853200*c_1001_4 - 3947266493736173/4539412800, c_0011_0 - 1, c_0011_10 + c_1001_4^9 - 10*c_1001_4^8 + 42*c_1001_4^7 - 100*c_1001_4^6 + 155*c_1001_4^5 - 166*c_1001_4^4 + 122*c_1001_4^3 - 60*c_1001_4^2 + 17*c_1001_4 - 2, c_0011_11 + c_1001_4^16 - 19*c_1001_4^15 + 165*c_1001_4^14 - 874*c_1001_4^13 + 3183*c_1001_4^12 - 8518*c_1001_4^11 + 17454*c_1001_4^10 - 28092*c_1001_4^9 + 36027*c_1001_4^8 - 37026*c_1001_4^7 + 30430*c_1001_4^6 - 19796*c_1001_4^5 + 9998*c_1001_4^4 - 3796*c_1001_4^3 + 1032*c_1001_4^2 - 184*c_1001_4 + 17, c_0011_12 + c_1001_4^6 - 7*c_1001_4^5 + 19*c_1001_4^4 - 28*c_1001_4^3 + 26*c_1001_4^2 - 13*c_1001_4 + 3, c_0011_3 + c_1001_4^3 - 3*c_1001_4^2 + 2*c_1001_4 - 1, c_0101_0 - 1, c_0101_10 - c_1001_4^17 + 20*c_1001_4^16 - 184*c_1001_4^15 + 1038*c_1001_4^14 - 4041*c_1001_4^13 + 11586*c_1001_4^12 - 25476*c_1001_4^11 + 44096*c_1001_4^10 - 61043*c_1001_4^9 + 68122*c_1001_4^8 - 61352*c_1001_4^7 + 44344*c_1001_4^6 - 25398*c_1001_4^5 + 11290*c_1001_4^4 - 3776*c_1001_4^3 + 910*c_1001_4^2 - 145*c_1001_4 + 12, c_0101_5 - c_1001_4^2 + 2*c_1001_4 - 1, c_0101_7 + c_1001_4 - 1, c_1001_10 - c_1001_4^14 + 16*c_1001_4^13 - 115*c_1001_4^12 + 496*c_1001_4^11 - 1450*c_1001_4^10 + 3076*c_1001_4^9 - 4931*c_1001_4^8 + 6104*c_1001_4^7 - 5882*c_1001_4^6 + 4396*c_1001_4^5 - 2504*c_1001_4^4 + 1052*c_1001_4^3 - 306*c_1001_4^2 + 56*c_1001_4 - 5, c_1001_11 - c_1001_4^4 + 4*c_1001_4^3 - 5*c_1001_4^2 + 4*c_1001_4 - 1, c_1001_2 + c_1001_4 - 1, c_1001_4^19 - 22*c_1001_4^18 + 225*c_1001_4^17 - 1428*c_1001_4^16 + 6338*c_1001_4^15 - 21018*c_1001_4^14 + 54289*c_1001_4^13 - 112258*c_1001_4^12 + 189191*c_1001_4^11 - 262754*c_1001_4^10 + 302377*c_1001_4^9 - 288502*c_1001_4^8 + 227254*c_1001_4^7 - 146396*c_1001_4^6 + 75928*c_1001_4^5 - 30974*c_1001_4^4 + 9605*c_1001_4^3 - 2156*c_1001_4^2 + 319*c_1001_4 - 24 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB