Magma V2.19-8 Tue Aug 20 2013 17:56:29 on localhost [Seed = 1730597726] Type ? for help. Type -D to quit. Loading file "10^2_95__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_95 geometric_solution 11.07964311 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 0 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 0 0 0 -0.083613320372 1.172664867751 0 4 3 3 0132 1023 1302 0321 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 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704026184433 1.679162875370 5 0 6 4 0132 0132 0132 1023 0 0 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 1 0 -1 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 0.606453510323 0.581150449656 1 1 7 0 2031 0321 0132 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704026184433 1.679162875370 1 8 0 2 1023 0132 0132 1023 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 0 0 0 0 -1 1 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 0.345056839087 0.356962796155 2 8 9 9 0132 1023 0132 0321 0 0 1 1 0 0 -1 1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 6 -5 -1 0 0 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750880001855 0.679476378964 10 8 7 2 0132 0321 1023 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724767750691 0.617855890498 11 11 6 3 0132 1230 1023 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 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 0.431668537767 1.094190044941 5 4 10 6 1023 0132 0213 0321 0 0 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 1 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 0.436228491272 1.016588068621 10 5 11 5 2031 0321 3012 0132 0 0 1 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 5 1 -6 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267797693161 0.662574806749 6 8 9 11 0132 0213 1302 1023 0 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041051456716 0.515155777036 7 9 7 10 0132 1230 3012 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 0 0 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 0.688008247741 0.790834261843 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_9']), 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0101_7'], '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_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0101_6'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(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' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0101_7']})} 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_11, c_0101_5, c_0101_6, c_0101_7, c_0110_4, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 115438/2821*c_1100_0^5 - 86748/403*c_1100_0^4 - 1192424/2821*c_1100_0^3 - 1671329/2821*c_1100_0^2 - 2002620/2821*c_1100_0 + 124758/2821, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 48/403*c_1100_0^5 - 246/403*c_1100_0^4 - 362/403*c_1100_0^3 - 319/403*c_1100_0^2 - 460/403*c_1100_0 + 384/403, c_0011_3 + 1, c_0011_9 + 24/403*c_1100_0^5 + 123/403*c_1100_0^4 + 181/403*c_1100_0^3 - 42/403*c_1100_0^2 - 173/403*c_1100_0 - 192/403, c_0101_11 - 35/403*c_1100_0^5 - 129/403*c_1100_0^4 - 180/403*c_1100_0^3 - 241/403*c_1100_0^2 - 369/403*c_1100_0 - 123/403, c_0101_5 + 24/403*c_1100_0^5 + 123/403*c_1100_0^4 + 181/403*c_1100_0^3 + 361/403*c_1100_0^2 + 633/403*c_1100_0 - 192/403, c_0101_6 - 40/403*c_1100_0^5 - 205/403*c_1100_0^4 - 436/403*c_1100_0^3 - 736/403*c_1100_0^2 - 652/403*c_1100_0 + 320/403, c_0101_7 - 59/403*c_1100_0^5 - 252/403*c_1100_0^4 - 361/403*c_1100_0^3 - 602/403*c_1100_0^2 - 599/403*c_1100_0 + 472/403, c_0110_4 + 35/403*c_1100_0^5 + 129/403*c_1100_0^4 + 180/403*c_1100_0^3 + 241/403*c_1100_0^2 + 369/403*c_1100_0 - 280/403, c_1001_2 - 35/403*c_1100_0^5 - 129/403*c_1100_0^4 - 180/403*c_1100_0^3 - 241/403*c_1100_0^2 + 34/403*c_1100_0 + 280/403, c_1100_0^6 + 5*c_1100_0^5 + 9*c_1100_0^4 + 12*c_1100_0^3 + 14*c_1100_0^2 - 5*c_1100_0 + 1 ], 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_11, c_0101_5, c_0101_6, c_0101_7, c_0110_4, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 5464579/16104960*c_1100_0^6 - 2787241/1073664*c_1100_0^5 - 91614131/16104960*c_1100_0^4 + 9423109/4026240*c_1100_0^3 + 50033473/2684160*c_1100_0^2 + 77772367/16104960*c_1100_0 - 91232633/5368320, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 38/699*c_1100_0^6 + 58/233*c_1100_0^5 + 112/699*c_1100_0^4 - 530/699*c_1100_0^3 - 195/233*c_1100_0^2 - 26/699*c_1100_0 + 30/233, c_0011_3 + 1, c_0011_9 + 19/699*c_1100_0^6 + 29/233*c_1100_0^5 + 56/699*c_1100_0^4 - 265/699*c_1100_0^3 - 214/233*c_1100_0^2 - 712/699*c_1100_0 + 15/233, c_0101_11 + 175/699*c_1100_0^6 + 402/233*c_1100_0^5 + 2576/699*c_1100_0^4 + 392/699*c_1100_0^3 - 1223/233*c_1100_0^2 - 3394/699*c_1100_0 - 1174/233, c_0101_5 + 19/699*c_1100_0^6 + 29/233*c_1100_0^5 + 56/699*c_1100_0^4 - 265/699*c_1100_0^3 + 19/233*c_1100_0^2 + 686/699*c_1100_0 + 15/233, c_0101_6 + 148/699*c_1100_0^6 + 324/233*c_1100_0^5 + 1871/699*c_1100_0^4 - 4/699*c_1100_0^3 - 784/233*c_1100_0^2 - 1720/699*c_1100_0 - 668/233, c_0101_7 - 52/233*c_1100_0^6 - 373/233*c_1100_0^5 - 840/233*c_1100_0^4 - 219/233*c_1100_0^3 + 1242/233*c_1100_0^2 + 1127/233*c_1100_0 + 956/233, c_0110_4 - 175/699*c_1100_0^6 - 402/233*c_1100_0^5 - 2576/699*c_1100_0^4 - 392/699*c_1100_0^3 + 1223/233*c_1100_0^2 + 3394/699*c_1100_0 + 941/233, c_1001_2 + 175/699*c_1100_0^6 + 402/233*c_1100_0^5 + 2576/699*c_1100_0^4 + 392/699*c_1100_0^3 - 1223/233*c_1100_0^2 - 2695/699*c_1100_0 - 941/233, c_1100_0^7 + 9*c_1100_0^6 + 29*c_1100_0^5 + 32*c_1100_0^4 - 18*c_1100_0^3 - 61*c_1100_0^2 - 51*c_1100_0 - 36 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB