Magma V2.19-8 Tue Aug 20 2013 18:14:07 on localhost [Seed = 2101134597] Type ? for help. Type -D to quit. Loading file "11_306__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_306 geometric_solution 12.89137156 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 -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 0.147597502921 1.027820041560 0 5 7 6 0132 0132 0132 0132 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 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 0.672031049013 0.991147305408 8 0 9 9 0132 0132 0213 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 1 -1 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 0.896686342487 0.867834117578 10 4 6 0 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304345723251 0.348477543755 11 3 0 8 0132 0132 0132 0132 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 -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 0.737539624491 0.907744601757 10 1 12 13 1230 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 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549649172427 0.431273366210 10 8 1 3 2103 0132 0132 0132 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 -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 0.831246737057 1.140363892926 9 12 8 1 0213 0132 0132 0132 0 0 0 0 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 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 1.052637889606 0.846411668529 2 6 4 7 0132 0132 0132 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 -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 0 0 0 0.676424441896 0.387769484623 7 2 2 11 0213 0213 0132 0213 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 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 0.135260979780 1.136191437382 3 5 6 13 0132 3012 2103 1023 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 -1 0 1 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 0.691720426385 0.901181409182 4 13 12 9 0132 2031 1302 0213 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 -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 0.514245841235 0.652696081080 11 7 13 5 2031 0132 0213 0132 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 1 0 0 -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 0.417796352611 0.644016376687 11 12 5 10 1302 0213 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757378158174 0.385998097948 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_3'], 'c_1010_13' : d['c_0101_3'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_13'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_0'], '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_13' : 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_1100_9' : d['c_0011_13'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_13'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_13'], 'c_1100_10' : negation(d['c_0101_3']), 'c_1100_13' : d['c_0101_3'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_13'], 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : d['c_1100_0'], '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' : d['c_0101_3'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0101_13' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : negation(d['c_0101_5']), 'c_0110_12' : d['c_0101_5'], 'c_1010_4' : d['c_1001_3'], 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_12']), 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_3, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 663882436597/12895129*c_1100_0^7 + 65720331913/991933*c_1100_0^6 - 2181642430574/12895129*c_1100_0^5 + 46608870954/155363*c_1100_0^4 - 249410465355/758537*c_1100_0^3 + 2202792344152/12895129*c_1100_0^2 - 66921735655/155363*c_1100_0 - 622362304691/12895129, c_0011_0 - 1, c_0011_10 - 4/83*c_1100_0^7 + 33/83*c_1100_0^6 - 23/83*c_1100_0^5 - 20/83*c_1100_0^3 - 13/83*c_1100_0^2 + c_1100_0 + 71/83, c_0011_12 + 15/83*c_1100_0^7 - 20/83*c_1100_0^6 + 24/83*c_1100_0^5 - c_1100_0^4 + 75/83*c_1100_0^3 - 55/83*c_1100_0^2 + c_1100_0 + 45/83, c_0011_13 - 30/83*c_1100_0^7 + 40/83*c_1100_0^6 - 48/83*c_1100_0^5 + c_1100_0^4 - 67/83*c_1100_0^3 - 56/83*c_1100_0^2 - c_1100_0 - 7/83, c_0011_9 - 8/83*c_1100_0^7 - 17/83*c_1100_0^6 + 37/83*c_1100_0^5 + 43/83*c_1100_0^3 - 26/83*c_1100_0^2 - c_1100_0 - 24/83, c_0101_0 - 17/83*c_1100_0^7 - 5/83*c_1100_0^6 + 6/83*c_1100_0^5 - 2/83*c_1100_0^3 - 76/83*c_1100_0^2 - c_1100_0 - 51/83, c_0101_1 + 1/83*c_1100_0^7 - 29/83*c_1100_0^6 + 68/83*c_1100_0^5 - c_1100_0^4 + 88/83*c_1100_0^3 - 59/83*c_1100_0^2 + 3/83, c_0101_3 - 24/83*c_1100_0^7 + 32/83*c_1100_0^6 - 55/83*c_1100_0^5 + c_1100_0^4 - 120/83*c_1100_0^3 + 5/83*c_1100_0^2 - c_1100_0 + 11/83, c_0101_5 - 7/83*c_1100_0^7 + 37/83*c_1100_0^6 - 61/83*c_1100_0^5 + c_1100_0^4 - 118/83*c_1100_0^3 + 81/83*c_1100_0^2 - c_1100_0 - 21/83, c_1001_0 - 33/83*c_1100_0^7 + 44/83*c_1100_0^6 - 86/83*c_1100_0^5 + 2*c_1100_0^4 - 165/83*c_1100_0^3 + 38/83*c_1100_0^2 - 2*c_1100_0 - 16/83, c_1001_1 - 3/83*c_1100_0^7 + 4/83*c_1100_0^6 - 38/83*c_1100_0^5 + c_1100_0^4 - 98/83*c_1100_0^3 + 94/83*c_1100_0^2 - 2*c_1100_0 - 9/83, c_1001_3 + 12/83*c_1100_0^7 - 16/83*c_1100_0^6 + 69/83*c_1100_0^5 - c_1100_0^4 + 143/83*c_1100_0^3 - 127/83*c_1100_0^2 + 2*c_1100_0 + 36/83, c_1001_5 - 9/83*c_1100_0^7 + 12/83*c_1100_0^6 - 31/83*c_1100_0^5 + c_1100_0^4 - 45/83*c_1100_0^3 + 33/83*c_1100_0^2 - c_1100_0 - 27/83, c_1100_0^8 - c_1100_0^7 + 3*c_1100_0^6 - 5*c_1100_0^5 + 5*c_1100_0^4 - 2*c_1100_0^3 + 8*c_1100_0^2 + 3*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.190 Total time: 6.410 seconds, Total memory usage: 144.22MB