Magma V2.19-8 Wed Aug 21 2013 01:09:38 on localhost [Seed = 1663400702] Type ? for help. Type -D to quit. Loading file "L14n47597__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n47597 geometric_solution 12.13375393 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 1 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 5 -1 -4 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.306627882745 1.402643622305 0 5 4 6 0132 0132 0132 0132 1 2 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283220110338 0.572934606957 3 0 7 5 1023 0132 0132 0132 1 1 0 1 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 -5 5 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502427415440 0.965207259071 6 2 8 0 0132 1023 0132 0132 1 2 0 1 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 -1 1 0 0 1 -1 0 0 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415400078496 0.363347397971 9 10 0 1 0132 0132 0132 0132 1 2 1 1 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 -4 4 0 -1 0 1 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 0.288849147427 0.763408787637 6 1 2 9 1023 0132 0132 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110898881633 0.999194173397 3 5 1 8 0132 1023 0132 0132 1 2 1 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636147984862 1.192951341539 10 11 12 2 2310 0132 0132 0132 1 1 1 1 0 0 1 -1 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 5 -5 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124035190195 0.686032243330 12 10 6 3 1302 3012 0132 0132 1 2 1 1 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 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 -5 0 0 5 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303926018298 1.305328964395 4 5 12 12 0132 0321 0321 2310 1 2 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 1 0 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390249802399 0.743635883554 8 4 7 11 1230 0132 3201 0132 1 1 1 1 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 4 -4 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 0.499919639898 1.133695241724 11 7 10 11 3201 0132 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 -0.314976447390 1.028822074485 9 8 9 7 3201 2031 0321 0132 1 1 1 2 0 1 0 -1 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 5 0 -5 0 0 0 0 0 -4 0 4 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446681187361 1.054370102418 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_11'], '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_0011_8'], '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' : negation(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' : negation(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_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_9'], '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_1001_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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_1001_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0101_1']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], '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' : 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_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0011_12'])})} 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_5, c_0101_7, c_1001_11, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 19481158853/373654093824*c_1100_0^7 - 328009987787/1743719104512*c_1100_0^6 - 285846891647/1307789328384*c_1100_0^5 - 61720626697/326947332096*c_1100_0^4 + 160525811639/217964888064*c_1100_0^3 + 212760487003/326947332096*c_1100_0^2 + 17226000181/81736833024*c_1100_0 - 75681966707/81736833024, c_0011_0 - 1, c_0011_10 + 21/128*c_1100_0^7 - 19/64*c_1100_0^6 - 47/32*c_1100_0^5 - 23/8*c_1100_0^4 + 11/2*c_1100_0^2 + 19/2*c_1100_0 + 4, c_0011_11 - 7/256*c_1100_0^7 - 3/128*c_1100_0^6 + 21/32*c_1100_0^5 + 5/32*c_1100_0^4 - 1/4*c_1100_0^3 - 7/8*c_1100_0^2 - 1/4*c_1100_0 - 1/2, c_0011_12 - 21/512*c_1100_0^7 + 5/256*c_1100_0^6 + 31/64*c_1100_0^5 + 69/64*c_1100_0^4 + 9/8*c_1100_0^3 - 23/16*c_1100_0^2 - 29/8*c_1100_0 - 15/4, c_0011_8 + 7/256*c_1100_0^7 - 53/128*c_1100_0^6 + 23/32*c_1100_0^5 + 71/32*c_1100_0^4 + 13/4*c_1100_0^3 - 23/8*c_1100_0^2 - 27/4*c_1100_0 - 13/2, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 21/128*c_1100_0^7 + 19/64*c_1100_0^6 + 47/32*c_1100_0^5 + 23/8*c_1100_0^4 - 11/2*c_1100_0^2 - 15/2*c_1100_0 - 4, c_0101_5 - 7/128*c_1100_0^7 + 1/16*c_1100_0^6 + 17/32*c_1100_0^5 + 21/16*c_1100_0^4 + 7/8*c_1100_0^3 - 5/4*c_1100_0^2 - 4*c_1100_0 - 3, c_0101_7 - 7/128*c_1100_0^7 + 1/16*c_1100_0^6 + 17/32*c_1100_0^5 + 21/16*c_1100_0^4 + 7/8*c_1100_0^3 - 5/4*c_1100_0^2 - 3*c_1100_0 - 3, c_1001_11 - 7/128*c_1100_0^7 + 1/16*c_1100_0^6 + 17/32*c_1100_0^5 + 21/16*c_1100_0^4 + 7/8*c_1100_0^3 - 5/4*c_1100_0^2 - 5*c_1100_0 - 3, c_1001_9 - 21/128*c_1100_0^7 + 33/64*c_1100_0^6 + c_1100_0^5 + c_1100_0^4 - 25/8*c_1100_0^3 - 15/4*c_1100_0^2 - 2*c_1100_0 + 4, c_1100_0^8 - 8/7*c_1100_0^7 - 68/7*c_1100_0^6 - 24*c_1100_0^5 - 16*c_1100_0^4 + 160/7*c_1100_0^3 + 512/7*c_1100_0^2 + 512/7*c_1100_0 + 256/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB