Magma V2.19-8 Wed Aug 21 2013 00:57:54 on localhost [Seed = 3203965981] Type ? for help. Type -D to quit. Loading file "L13n4600__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4600 geometric_solution 11.75101997 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195328242250 0.667168976303 0 5 6 5 0132 0132 0132 0213 0 1 1 1 0 1 0 -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 -1 1 0 0 -1 1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543530794425 0.782905821693 4 0 8 7 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026162865610 0.939460329677 9 8 6 0 0132 3120 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 0 -1 1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736466773944 0.610618900093 9 2 0 10 3201 1023 0132 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 7 1 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526089600392 1.103216450285 9 1 11 1 2310 0132 0132 0213 0 1 1 1 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 0 1 -1 -1 0 1 0 -7 8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543530794425 0.782905821693 3 11 11 1 2310 0132 0321 0132 0 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 0 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 0.401639816553 0.861882483745 12 8 2 8 0132 3012 0132 1302 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 0.952107960358 0.635010924184 7 3 7 2 1230 3120 2031 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 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 -0.571657699569 0.911081363797 3 12 5 4 0132 0132 3201 2310 1 1 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 7 -7 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.269499745361 0.537543955425 12 12 4 11 2310 1302 0132 2310 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 0.835402864776 1.073976459078 10 6 6 5 3201 0132 0321 0132 0 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 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 0.401639816553 0.861882483745 7 9 10 10 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641592064743 0.310057727651 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : 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_11'], '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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_5'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0101_8'], '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_0011_10']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], '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' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_8, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2677/16*c_1001_5^12 + 10475/72*c_1001_5^11 - 53425/72*c_1001_5^10 + 14453/48*c_1001_5^9 - 127/4*c_1001_5^8 - 13003/12*c_1001_5^7 + 83905/36*c_1001_5^6 - 167087/72*c_1001_5^5 + 99655/144*c_1001_5^4 - 37637/72*c_1001_5^3 + 85003/72*c_1001_5^2 - 55843/48*c_1001_5 + 31301/72, c_0011_0 - 1, c_0011_10 + 1/16*c_1001_5^12 + 1/16*c_1001_5^11 + 5/16*c_1001_5^10 + 5/16*c_1001_5^9 + 7/16*c_1001_5^8 + 3/8*c_1001_5^7 + 1/8*c_1001_5^6 + 1/2*c_1001_5^5 + 1/16*c_1001_5^4 + 25/16*c_1001_5^3 + 1/16*c_1001_5^2 + 3/16*c_1001_5 - 1/16, c_0011_11 - 1/16*c_1001_5^12 + 1/16*c_1001_5^11 - 3/16*c_1001_5^10 + 3/16*c_1001_5^9 + 5/16*c_1001_5^8 + 7/8*c_1001_5^6 - 1/8*c_1001_5^5 + 3/16*c_1001_5^4 - 1/16*c_1001_5^3 + 29/16*c_1001_5^2 - 1/16*c_1001_5 - 15/16, c_0011_12 - 1/4*c_1001_5^12 - 1/8*c_1001_5^11 - 7/8*c_1001_5^10 - c_1001_5^9 + 1/4*c_1001_5^8 - 13/8*c_1001_5^7 + c_1001_5^6 + 3/8*c_1001_5^5 - 13/4*c_1001_5^4 - c_1001_5^3 + 9/8*c_1001_5^2 + 3/8*c_1001_5 - 1, c_0011_8 + 7/8*c_1001_5^12 + 1/4*c_1001_5^11 + 7/2*c_1001_5^10 + 21/8*c_1001_5^9 + 3/8*c_1001_5^8 + 45/8*c_1001_5^7 - 6*c_1001_5^6 + 11/8*c_1001_5^5 + 35/8*c_1001_5^4 + 27/8*c_1001_5^3 - 11/4*c_1001_5^2 - 1/4*c_1001_5 + 13/8, c_0101_0 - 1/16*c_1001_5^12 + 1/16*c_1001_5^11 - 3/16*c_1001_5^10 + 3/16*c_1001_5^9 + 5/16*c_1001_5^8 + 7/8*c_1001_5^6 - 1/8*c_1001_5^5 + 3/16*c_1001_5^4 - 1/16*c_1001_5^3 + 29/16*c_1001_5^2 - 1/16*c_1001_5 - 15/16, c_0101_1 + 1/16*c_1001_5^12 - 1/16*c_1001_5^11 + 5/16*c_1001_5^10 - 1/16*c_1001_5^9 + 3/16*c_1001_5^8 + 3/4*c_1001_5^7 - 1/2*c_1001_5^6 + 9/8*c_1001_5^5 + 3/16*c_1001_5^4 + 5/16*c_1001_5^3 - 5/16*c_1001_5^2 + 31/16*c_1001_5 + 1/16, c_0101_10 + 1/16*c_1001_5^12 + 1/16*c_1001_5^11 + 3/16*c_1001_5^10 + 7/16*c_1001_5^9 - 1/16*c_1001_5^8 + 5/8*c_1001_5^7 + 1/4*c_1001_5^6 - 1/4*c_1001_5^5 + 23/16*c_1001_5^4 + 5/16*c_1001_5^3 + 1/16*c_1001_5^2 - 3/16*c_1001_5 + 17/16, c_0101_11 - 1, c_0101_7 + 1/8*c_1001_5^11 + 1/8*c_1001_5^10 + 1/2*c_1001_5^9 + 3/4*c_1001_5^8 + 1/8*c_1001_5^7 + c_1001_5^6 - 3/8*c_1001_5^5 - 1/4*c_1001_5^4 + 2*c_1001_5^3 + 5/8*c_1001_5^2 + 5/8*c_1001_5 - 1/4, c_0101_8 - 5/16*c_1001_5^12 - 3/16*c_1001_5^11 - 25/16*c_1001_5^10 - 25/16*c_1001_5^9 - 27/16*c_1001_5^8 - 7/2*c_1001_5^7 + 1/2*c_1001_5^6 - 7/4*c_1001_5^5 - 17/16*c_1001_5^4 - 21/16*c_1001_5^3 - 7/16*c_1001_5^2 - 27/16*c_1001_5 - 7/16, c_1001_1 - 1, c_1001_5^13 + 4*c_1001_5^11 + 2*c_1001_5^10 + 7*c_1001_5^8 - 8*c_1001_5^7 + 4*c_1001_5^6 + 5*c_1001_5^5 + 2*c_1001_5^4 - 4*c_1001_5^3 + 2*c_1001_5^2 + 2*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.580 seconds, Total memory usage: 32.09MB