Magma V2.19-8 Tue Aug 20 2013 23:45:54 on localhost [Seed = 121725686] Type ? for help. Type -D to quit. Loading file "K14a19419__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a19419 geometric_solution 9.18041771 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 1 0132 0132 3201 3201 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 13 0 -13 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 -0.711681057350 0.364661217759 0 0 4 3 0132 2310 0132 0132 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 0 -1 0 0 0 0 0 0 0 0 -1 13 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559517492685 0.358758525240 0 0 5 5 2310 0132 2310 0132 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.187681592029 0.865854268299 6 7 1 8 0132 0132 0132 0132 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 0 1 -1 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786504791788 0.419865829169 7 9 7 1 3201 0132 0321 0132 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 0 0 0 0 0 0 0 0 -12 0 12 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786504791788 0.419865829169 6 2 2 9 3201 3201 0132 0132 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 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514219220962 0.919135269998 3 10 10 5 0132 0132 1230 2310 0 0 0 0 0 1 0 -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 13 0 -13 0 0 0 0 0 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309635516656 0.381688635761 11 3 4 4 0132 0132 0321 2310 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 1 0 0 -1 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962264371637 1.892416844674 10 11 3 11 2031 1230 0132 1023 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 1 -1 0 0 0 0 1 0 0 -1 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848131333078 0.660430318877 11 4 5 10 1230 0132 0132 1230 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 0 0 0 13 0 0 -13 0 1 0 -1 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309635516656 0.381688635761 9 6 8 6 3012 0132 1302 3012 0 0 0 0 0 -1 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 0 0 0 0 -13 0 13 0 0 0 0 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343849098859 0.296229553720 7 9 8 8 0132 3012 3012 1023 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 12 -12 0 -1 0 0 1 12 -13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330701188822 1.438118184700 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0101_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_4'], '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_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_1100_8' : d['c_1001_7'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0011_5'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_5'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_11'], '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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0011_5'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0101_11']), 'c_0101_3' : d['c_0101_0'], '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_9'], 'c_0101_8' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_0']})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/108*c_0101_9 - 1/27, c_0011_0 - 1, c_0011_10 + 1, c_0011_4 + c_0101_9 - 1, c_0011_5 + 1, c_0101_0 - c_0101_9 + 1, c_0101_1 - c_0101_9, c_0101_11 - 1, c_0101_2 + c_0101_9, c_0101_6 - 1, c_0101_9^2 - 2*c_0101_9 + 3, c_1001_1 + 2, c_1001_7 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3546625/392*c_1001_7^3 + 241397/56*c_1001_7^2 + 246797/392*c_1001_7 + 2891179/392, c_0011_0 - 1, c_0011_10 + c_1001_7, c_0011_4 - 85/28*c_1001_7^3 + 3/28*c_1001_7^2 - 41/28*c_1001_7 - 17/28, c_0011_5 + c_1001_7, c_0101_0 + 85/28*c_1001_7^3 - 3/28*c_1001_7^2 + 41/28*c_1001_7 + 17/28, c_0101_1 - 85/28*c_1001_7^3 + 3/28*c_1001_7^2 - 13/28*c_1001_7 - 17/28, c_0101_11 + c_1001_7, c_0101_2 - 17/28*c_1001_7^3 - 47/28*c_1001_7^2 + 3/28*c_1001_7 - 23/28, c_0101_6 - c_1001_7, c_0101_9 + 85/28*c_1001_7^3 - 3/28*c_1001_7^2 + 13/28*c_1001_7 + 17/28, c_1001_1 + 17/7*c_1001_7^3 - 25/14*c_1001_7^2 + 18/7*c_1001_7 - 3/14, c_1001_7^4 - 4/17*c_1001_7^3 + 10/17*c_1001_7^2 + 4/17*c_1001_7 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.430 Total time: 4.639 seconds, Total memory usage: 64.12MB