Magma V2.19-8 Tue Aug 20 2013 23:54:43 on localhost [Seed = 121728842] Type ? for help. Type -D to quit. Loading file "K12n561__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n561 geometric_solution 11.83984539 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220201701427 0.804594432190 0 4 5 0 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.458763234261 0.615014209637 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.394304452665 0.545515029415 9 9 0 4 0132 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893382527911 0.842551029463 7 1 3 10 0132 0132 1230 0132 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 4 0 -1 -3 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632851145016 0.705770751219 11 10 12 1 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.387217772497 0.686555592026 2 7 10 12 0132 0132 2103 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.962505257362 1.501433382722 4 6 2 10 0132 0132 0132 2103 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 -1 1 -4 0 1 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414444995912 1.308925052687 9 11 12 2 1023 1302 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681801546018 0.379700594621 3 8 3 11 0132 1023 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407580923619 0.558711735549 6 5 4 7 2103 0132 0132 2103 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 3 -3 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711499457940 0.373464602071 5 12 9 8 0132 3120 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.289192461830 0.913670471559 8 11 6 5 2031 3120 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484694889375 0.552336146635 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_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_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' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : negation(d['c_0101_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_12'], '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'], 'c_1100_12' : negation(d['c_1001_0']), '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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0101_4']), 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_4'], '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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_4, c_0101_5, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 12489687125/61*c_1001_2^7 + 18828910575/61*c_1001_2^6 + 4368998350/61*c_1001_2^5 - 17921120270/61*c_1001_2^4 + 13833960055/244*c_1001_2^3 + 30148632383/244*c_1001_2^2 - 10016812097/122*c_1001_2 + 1974525189/122, c_0011_0 - 1, c_0011_10 - 12850/61*c_1001_2^7 + 16800/61*c_1001_2^6 + 5760/61*c_1001_2^5 - 15995/61*c_1001_2^4 + 4713/122*c_1001_2^3 + 13979/122*c_1001_2^2 - 4375/61*c_1001_2 + 823/61, c_0011_12 - 700/61*c_1001_2^7 - 1850/61*c_1001_2^6 + 1370/61*c_1001_2^5 + 1755/61*c_1001_2^4 - 897/61*c_1001_2^3 - 553/61*c_1001_2^2 + 450/61*c_1001_2 - 85/61, c_0101_0 + 4050/61*c_1001_2^7 - 8250/61*c_1001_2^6 + 570/61*c_1001_2^5 + 7645/61*c_1001_2^4 - 6439/122*c_1001_2^3 - 2992/61*c_1001_2^2 + 2686/61*c_1001_2 - 567/61, c_0101_1 - 3000/61*c_1001_2^7 + 3400/61*c_1001_2^6 + 1950/61*c_1001_2^5 - 3415/61*c_1001_2^4 - 10/61*c_1001_2^3 + 3373/122*c_1001_2^2 - 799/61*c_1001_2 + 54/61, c_0101_10 + 14000/61*c_1001_2^7 - 24000/61*c_1001_2^6 - 3000/61*c_1001_2^5 + 22850/61*c_1001_2^4 - 5850/61*c_1001_2^3 - 9375/61*c_1001_2^2 + 6677/61*c_1001_2 - 1350/61, c_0101_12 + 12150/61*c_1001_2^7 - 18650/61*c_1001_2^6 - 4390/61*c_1001_2^5 + 17750/61*c_1001_2^4 - 6507/122*c_1001_2^3 - 15085/122*c_1001_2^2 + 4825/61*c_1001_2 - 908/61, c_0101_2 + 1550/61*c_1001_2^7 - 4400/61*c_1001_2^6 + 670/61*c_1001_2^5 + 3935/61*c_1001_2^4 - 3609/122*c_1001_2^3 - 2797/122*c_1001_2^2 + 1400/61*c_1001_2 - 339/61, c_0101_4 + 12450/61*c_1001_2^7 - 19600/61*c_1001_2^6 - 3670/61*c_1001_2^5 + 18915/61*c_1001_2^4 - 8091/122*c_1001_2^3 - 15953/122*c_1001_2^2 + 5277/61*c_1001_2 - 1011/61, c_0101_5 - 2500/61*c_1001_2^7 + 3850/61*c_1001_2^6 + 100/61*c_1001_2^5 - 3710/61*c_1001_2^4 + 1415/61*c_1001_2^3 + 3187/122*c_1001_2^2 - 1286/61*c_1001_2 + 289/61, c_1001_0 - 12850/61*c_1001_2^7 + 16800/61*c_1001_2^6 + 5760/61*c_1001_2^5 - 15995/61*c_1001_2^4 + 4713/122*c_1001_2^3 + 13979/122*c_1001_2^2 - 4436/61*c_1001_2 + 823/61, c_1001_1 - 10350/61*c_1001_2^7 + 12950/61*c_1001_2^6 + 5660/61*c_1001_2^5 - 12285/61*c_1001_2^4 + 1883/122*c_1001_2^3 + 5396/61*c_1001_2^2 - 3150/61*c_1001_2 + 595/61, c_1001_2^8 - 2*c_1001_2^7 + 2/5*c_1001_2^6 + 8/5*c_1001_2^5 - 99/100*c_1001_2^4 - 23/50*c_1001_2^3 + 7/10*c_1001_2^2 - 7/25*c_1001_2 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.750 Total time: 3.960 seconds, Total memory usage: 86.00MB