Magma V2.19-8 Tue Aug 20 2013 23:40:27 on localhost [Seed = 1679950057] Type ? for help. Type -D to quit. Loading file "L11a275__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a275 geometric_solution 9.18717531 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400648005545 0.657253806218 0 0 5 4 0132 1302 0132 0132 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 0 0 0 0 0 0 1 0 -1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323802421031 1.109286521789 6 0 6 7 0132 0132 3012 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 -1 0 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238629653361 1.653401314101 8 9 4 0 0132 0132 3012 0132 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 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 -0.409503177389 1.122994430286 5 3 1 10 1302 1230 0132 0132 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398785570512 0.211410493576 9 4 10 1 3201 2031 2310 0132 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 -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 -0.105387077884 0.510822688104 2 2 8 7 0132 1230 1230 1230 0 0 1 1 0 0 0 0 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 1 -1 0 -1 0 -2 3 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229783783355 0.499001321808 6 8 2 9 3012 3120 0132 3120 1 0 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 0 0 0 0 0 0 0 -3 2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570778648456 0.491148489225 3 7 9 6 0132 3120 3120 3012 1 0 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 0 0 -1 0 0 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 -0.246639494933 0.569780271926 7 3 8 5 3120 0132 3120 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.035120247601 0.878198800866 10 5 4 10 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901229109616 1.812924022822 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_7'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_10' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : 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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : d['c_0011_10'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_10, c_0101_3, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 150180707/5089007*c_1001_4^11 - 2390696727/5089007*c_1001_4^10 + 16057634392/5089007*c_1001_4^9 - 62948351140/5089007*c_1001_4^8 + 23506577034/727001*c_1001_4^7 - 306430493709/5089007*c_1001_4^6 + 14483607671/175483*c_1001_4^5 - 38868020871/462637*c_1001_4^4 + 45547429967/727001*c_1001_4^3 - 166185868894/5089007*c_1001_4^2 + 1866446710/175483*c_1001_4 - 7810159883/5089007, c_0011_0 - 1, c_0011_10 - 68/53*c_1001_4^11 + 959/53*c_1001_4^10 - 5582/53*c_1001_4^9 + 19057/53*c_1001_4^8 - 43544/53*c_1001_4^7 + 70898/53*c_1001_4^6 - 84477/53*c_1001_4^5 + 73797/53*c_1001_4^4 - 46020/53*c_1001_4^3 + 19094/53*c_1001_4^2 - 4396/53*c_1001_4 + 340/53, c_0011_3 + 41/53*c_1001_4^11 - 632/53*c_1001_4^10 + 4078/53*c_1001_4^9 - 15293/53*c_1001_4^8 + 38061/53*c_1001_4^7 - 67132/53*c_1001_4^6 + 86606/53*c_1001_4^5 - 82324/53*c_1001_4^4 + 56623/53*c_1001_4^3 - 26616/53*c_1001_4^2 + 7433/53*c_1001_4 - 788/53, c_0011_4 - 58/53*c_1001_4^11 + 938/53*c_1001_4^10 - 6401/53*c_1001_4^9 + 25397/53*c_1001_4^8 - 66914/53*c_1001_4^7 + 125110/53*c_1001_4^6 - 171524/53*c_1001_4^5 + 173953/53*c_1001_4^4 - 128654/53*c_1001_4^3 + 66078/53*c_1001_4^2 - 20934/53*c_1001_4 + 2834/53, c_0011_5 + 1, c_0011_7 - 35/53*c_1001_4^11 + 471/53*c_1001_4^10 - 2566/53*c_1001_4^9 + 8126/53*c_1001_4^8 - 17103/53*c_1001_4^7 + 25385/53*c_1001_4^6 - 26983/53*c_1001_4^5 + 20030/53*c_1001_4^4 - 9330/53*c_1001_4^3 + 1605/53*c_1001_4^2 + 855/53*c_1001_4 - 461/53, c_0101_10 - 8/53*c_1001_4^11 + 144/53*c_1001_4^10 - 1062/53*c_1001_4^9 + 4362/53*c_1001_4^8 - 11620/53*c_1001_4^7 + 21619/53*c_1001_4^6 - 29112/53*c_1001_4^5 + 28557/53*c_1001_4^4 - 19986/53*c_1001_4^3 + 9286/53*c_1001_4^2 - 2394/53*c_1001_4 + 146/53, c_0101_3 - 8/53*c_1001_4^11 + 144/53*c_1001_4^10 - 1062/53*c_1001_4^9 + 4362/53*c_1001_4^8 - 11620/53*c_1001_4^7 + 21619/53*c_1001_4^6 - 29112/53*c_1001_4^5 + 28557/53*c_1001_4^4 - 19986/53*c_1001_4^3 + 9286/53*c_1001_4^2 - 2341/53*c_1001_4 + 93/53, c_0101_9 - 22/53*c_1001_4^11 + 343/53*c_1001_4^10 - 2258/53*c_1001_4^9 + 8736/53*c_1001_4^8 - 22680/53*c_1001_4^7 + 42055/53*c_1001_4^6 - 57374/53*c_1001_4^5 + 57981/53*c_1001_4^4 - 42692/53*c_1001_4^3 + 21694/53*c_1001_4^2 - 6663/53*c_1001_4 + 799/53, c_1001_0 - 17/53*c_1001_4^11 + 306/53*c_1001_4^10 - 2323/53*c_1001_4^9 + 10104/53*c_1001_4^8 - 28853/53*c_1001_4^7 + 57978/53*c_1001_4^6 - 84918/53*c_1001_4^5 + 91629/53*c_1001_4^4 - 72031/53*c_1001_4^3 + 39462/53*c_1001_4^2 - 13501/53*c_1001_4 + 2046/53, c_1001_4^12 - 16*c_1001_4^11 + 110*c_1001_4^10 - 452*c_1001_4^9 + 1263*c_1001_4^8 - 2560*c_1001_4^7 + 3892*c_1001_4^6 - 4500*c_1001_4^5 + 3945*c_1001_4^4 - 2564*c_1001_4^3 + 1171*c_1001_4^2 - 334*c_1001_4 + 43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB