Magma V2.19-8 Tue Aug 20 2013 23:47:22 on localhost [Seed = 1646528556] Type ? for help. Type -D to quit. Loading file "L10a31__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a31 geometric_solution 11.00260872 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 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 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 0.564573577747 1.291885941672 0 4 4 5 0132 0132 1302 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 -1 -1 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 0.912971905130 1.189917850154 0 0 7 6 3012 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 -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 0.234280918634 0.695098436194 3 3 5 0 1230 3012 3201 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 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130150993906 0.562471774498 1 1 8 9 2031 0132 0132 0132 0 0 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 -2 2 0 1 0 0 -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 0.594130479675 0.528988224451 3 6 1 10 2310 2031 0132 0132 0 1 1 1 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 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 0.057907440406 0.537213364224 5 10 2 8 1302 1023 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751687450684 0.568171229610 11 11 9 2 0132 1230 3201 0132 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 1 -1 0 0 0 0 -5 6 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403725370765 1.634372818285 9 6 11 4 1023 2310 2031 0132 0 0 1 1 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 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 0.348309096834 0.660487972453 7 8 4 10 2310 1023 0132 0213 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.453825320193 1.057705371698 6 11 5 9 1023 2103 0132 0213 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 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 0.546174679807 1.057705371698 7 10 7 8 0132 2103 3012 1302 0 1 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 1 0 -2 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857550690958 0.576667446587 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_1010_10']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1010_10'], 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : d['c_0101_4'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : negation(d['c_0110_6']), 'c_1100_8' : d['c_1010_10'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : d['c_1010_10'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_5, c_0011_8, c_0101_10, c_0101_11, c_0101_4, c_0101_7, c_0101_8, c_0110_6, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 4593163163/28171148564*c_1010_10^13 - 1208076473/3885675664*c_1010_10^12 - 18758984879/28171148564*c_1010_10^11 - 18324215461/7042787141*c_1010_10^10 + 21166304313/28171148564*c_1010_10^9 - 872612888177/112684594256*c_1010_10^8 + 43876512798/7042787141*c_1010_10^7 - 267970037157/28171148564*c_1010_10^6 + 99942437175/14085574282*c_1010_10^5 - 227101920235/56342297128*c_1010_10^4 + 10645406527/7042787141*c_1010_10^3 - 23298285223/28171148564*c_1010_10^2 + 29174350869/14085574282*c_1010_10 - 128275783125/112684594256, c_0011_0 - 1, c_0011_10 - c_1010_10^13 + c_1010_10^12 - 8*c_1010_10^11 + 7*c_1010_10^10 - 23*c_1010_10^9 + 17*c_1010_10^8 - 28*c_1010_10^7 + 16*c_1010_10^6 - 14*c_1010_10^5 + 6*c_1010_10^4 - 6*c_1010_10^3 + 5*c_1010_10^2 - 3*c_1010_10 + 1, c_0011_3 + c_1010_10, c_0011_5 + c_1010_10^5 + 4*c_1010_10^3 + 3*c_1010_10, c_0011_8 - c_1010_10^9 - 6*c_1010_10^7 - 11*c_1010_10^5 - 6*c_1010_10^3 - c_1010_10, c_0101_10 - c_1010_10^3 - 2*c_1010_10, c_0101_11 + c_1010_10^4 + 3*c_1010_10^2 + 1, c_0101_4 + c_1010_10^10 - c_1010_10^9 + 6*c_1010_10^8 - 5*c_1010_10^7 + 11*c_1010_10^6 - 7*c_1010_10^5 + 6*c_1010_10^4 - 2*c_1010_10^3 + c_1010_10^2 - c_1010_10 + 1, c_0101_7 + c_1010_10^9 + 5*c_1010_10^7 + 7*c_1010_10^5 + 2*c_1010_10^3 + c_1010_10 - 1, c_0101_8 - 1, c_0110_6 + c_1010_10^10 - c_1010_10^9 + 6*c_1010_10^8 - 5*c_1010_10^7 + 11*c_1010_10^6 - 7*c_1010_10^5 + 6*c_1010_10^4 - 2*c_1010_10^3 + c_1010_10^2 + 1, c_1010_10^14 - 2*c_1010_10^13 + 10*c_1010_10^12 - 16*c_1010_10^11 + 37*c_1010_10^10 - 46*c_1010_10^9 + 62*c_1010_10^8 - 56*c_1010_10^7 + 46*c_1010_10^6 - 28*c_1010_10^5 + 16*c_1010_10^4 - 12*c_1010_10^3 + 9*c_1010_10^2 - 6*c_1010_10 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB