Magma V2.19-8 Tue Aug 20 2013 23:52:31 on localhost [Seed = 2193942948] Type ? for help. Type -D to quit. Loading file "L13n2829__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2829 geometric_solution 11.32967464 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3120 1 0 1 1 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 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 1.021977837244 0.909347173443 0 4 2 2 0132 0132 0132 3120 1 0 1 1 0 0 0 0 1 0 1 -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 -1 1 1 0 2 -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 0.268454521928 0.553414419689 1 0 5 1 3120 0132 0132 0132 1 0 1 1 0 0 0 0 2 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 -1 0 1 3 0 -1 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869411227700 0.657709909323 0 6 7 0 3120 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 0 0 -1 1 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 -0.026562680563 1.099048019191 8 1 8 6 0132 0132 3012 0132 1 1 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 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499515251404 0.621281729801 7 6 7 2 0132 2031 3120 0132 1 0 1 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 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 0.613448822891 0.745193451874 5 3 4 9 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717900880554 0.871670159906 5 10 5 3 0132 0132 3120 0132 1 0 1 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 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 0.613448822891 0.745193451874 4 4 10 11 0132 1230 1302 0132 1 1 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 0 0 0 0 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786337224208 0.976127548809 10 11 6 11 3012 1302 0132 2031 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 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 1.128089713772 1.131252063687 8 7 11 9 2031 0132 1302 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 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 0.836779394654 0.513771694697 10 9 8 9 2031 1302 0132 2031 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 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 0.239217595359 0.657573488079 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_11'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_11'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : 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' : negation(d['c_0011_11']), 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : d['c_0011_9'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_9']})} 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_11, c_0011_3, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_0110_11, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5665497/327028*c_1001_0^11 - 7073497/163514*c_1001_0^10 + 20506397/163514*c_1001_0^9 - 57261433/327028*c_1001_0^8 + 3331299/12578*c_1001_0^7 - 99194675/327028*c_1001_0^6 + 24002741/81757*c_1001_0^5 - 6169109/17212*c_1001_0^4 + 50259409/327028*c_1001_0^3 - 20100885/81757*c_1001_0^2 + 199774/6289*c_1001_0 - 31899885/327028, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_0^11 + 2*c_1001_0^10 - 14/3*c_1001_0^9 + 25/3*c_1001_0^8 - 28/3*c_1001_0^7 + 29/3*c_1001_0^6 - 28/3*c_1001_0^5 + 25/3*c_1001_0^4 - 20/3*c_1001_0^3 + 2*c_1001_0^2 - 4/3*c_1001_0 + 5/3, c_0011_11 - 1/3*c_1001_0^11 + 2*c_1001_0^10 - 17/3*c_1001_0^9 + 37/3*c_1001_0^8 - 58/3*c_1001_0^7 + 77/3*c_1001_0^6 - 85/3*c_1001_0^5 + 79/3*c_1001_0^4 - 65/3*c_1001_0^3 + 14*c_1001_0^2 - 25/3*c_1001_0 + 11/3, c_0011_3 + c_1001_0^2 - 2*c_1001_0 + 1, c_0011_9 + 1/3*c_1001_0^11 - c_1001_0^10 + 5/3*c_1001_0^9 - 4/3*c_1001_0^8 - 2/3*c_1001_0^7 + 7/3*c_1001_0^6 - 8/3*c_1001_0^5 + 8/3*c_1001_0^4 - 7/3*c_1001_0^3 + 3*c_1001_0^2 - 2/3*c_1001_0 - 2/3, c_0101_0 - 1, c_0101_11 - 1/3*c_1001_0^11 + c_1001_0^10 - 5/3*c_1001_0^9 + 4/3*c_1001_0^8 + 2/3*c_1001_0^7 - 7/3*c_1001_0^6 + 11/3*c_1001_0^5 - 11/3*c_1001_0^4 + 13/3*c_1001_0^3 - 4*c_1001_0^2 + 5/3*c_1001_0 - 1/3, c_0101_2 - c_1001_0 + 1, c_0101_3 - c_1001_0^2 + c_1001_0 - 1, c_0101_9 + 1/3*c_1001_0^11 - 2*c_1001_0^10 + 14/3*c_1001_0^9 - 25/3*c_1001_0^8 + 28/3*c_1001_0^7 - 29/3*c_1001_0^6 + 28/3*c_1001_0^5 - 25/3*c_1001_0^4 + 23/3*c_1001_0^3 - 4*c_1001_0^2 + 10/3*c_1001_0 - 8/3, c_0110_11 + c_1001_0^4 - 2*c_1001_0^3 + 3*c_1001_0^2 - 2*c_1001_0 + 1, c_1001_0^12 - 3*c_1001_0^11 + 8*c_1001_0^10 - 13*c_1001_0^9 + 19*c_1001_0^8 - 23*c_1001_0^7 + 25*c_1001_0^6 - 25*c_1001_0^5 + 20*c_1001_0^4 - 15*c_1001_0^3 + 10*c_1001_0^2 - 5*c_1001_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB