Magma V2.19-8 Tue Aug 20 2013 17:56:06 on localhost [Seed = 2429626196] Type ? for help. Type -D to quit. Loading file "11_291__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_291 geometric_solution 8.77076855 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 0 -1 1 0 0 0 0 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216494172283 0.484930329556 0 5 3 6 0132 0132 0213 0132 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 0 0 0 0 0 0 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569182515544 0.882626413622 7 0 8 4 0132 0132 0132 2310 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 0 4 -5 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.094772045410 1.170434820520 7 1 9 0 2031 0213 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 -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 1.090464307879 0.900459403485 2 7 0 6 3201 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.709819065638 1.447930671609 7 1 9 8 1023 0132 1023 3012 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555244193252 0.549703391934 8 9 1 4 1302 1023 0132 2103 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 1 0 0 -1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661736932290 0.563482820704 2 5 3 4 0132 1023 1302 2031 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 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.256191952196 1.937332769058 9 6 5 2 1230 2031 1230 0132 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 0 -4 5 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669955757380 1.169008915445 6 8 5 3 1023 3012 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.458880433609 0.524309339128 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0110_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0110_6']), 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_3, c_0101_8, c_0101_9, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 607117/195*c_0110_6^3 + 606296/195*c_0110_6^2 - 4245190/273*c_0110_6 + 3602377/1365, c_0011_0 - 1, c_0011_3 + 49/45*c_0110_6^3 - 14/15*c_0110_6^2 + 5*c_0110_6 - 62/45, c_0011_4 - 49/45*c_0110_6^3 + 14/15*c_0110_6^2 - 5*c_0110_6 + 17/45, c_0011_6 + 77/45*c_0110_6^3 - 9/5*c_0110_6^2 + 25/3*c_0110_6 - 61/45, c_0011_8 + 28/45*c_0110_6^3 - 13/15*c_0110_6^2 + 10/3*c_0110_6 - 44/45, c_0101_3 + 49/45*c_0110_6^3 - 14/15*c_0110_6^2 + 5*c_0110_6 - 17/45, c_0101_8 - 77/45*c_0110_6^3 + 9/5*c_0110_6^2 - 22/3*c_0110_6 + 61/45, c_0101_9 - 77/45*c_0110_6^3 + 9/5*c_0110_6^2 - 25/3*c_0110_6 + 61/45, c_0110_4 + 77/45*c_0110_6^3 - 9/5*c_0110_6^2 + 28/3*c_0110_6 - 61/45, c_0110_6^4 - 8/7*c_0110_6^3 + 36/7*c_0110_6^2 - 11/7*c_0110_6 + 1/7 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_3, c_0101_8, c_0101_9, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 36244972489/36161002880*c_0110_6^9 + 48976762151/9040250720*c_0110_6^8 - 360145318867/18080501440*c_0110_6^7 + 1936570526033/36161002880*c_0110_6^6 - 168174669243/1808050144*c_0110_6^5 + 3742624464669/36161002880*c_0110_6^4 - 2141958149/27561740*c_0110_6^3 + 1166129105939/36161002880*c_0110_6\ ^2 - 28371391105/3616100288*c_0110_6 + 15321656129/36161002880, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 + 555/11029*c_0110_6^9 - 4102/11029*c_0110_6^8 + 16201/11029*c_0110_6^7 - 45784/11029*c_0110_6^6 + 89468/11029*c_0110_6^5 - 100611/11029*c_0110_6^4 + 1188/269*c_0110_6^3 + 6745/11029*c_0110_6^2 - 21531/11029*c_0110_6 + 2659/11029, c_0011_6 + 9243/11029*c_0110_6^9 - 45780/11029*c_0110_6^8 + 163457/11029*c_0110_6^7 - 422021/11029*c_0110_6^6 + 674932/11029*c_0110_6^5 - 669617/11029*c_0110_6^4 + 10956/269*c_0110_6^3 - 139845/11029*c_0110_6^2 + 53310/11029*c_0110_6 - 9133/11029, c_0011_8 - 859/11029*c_0110_6^9 + 7104/11029*c_0110_6^8 - 28036/11029*c_0110_6^7 + 83302/11029*c_0110_6^6 - 171700/11029*c_0110_6^5 + 217304/11029*c_0110_6^4 - 4251/269*c_0110_6^3 + 99453/11029*c_0110_6^2 - 34161/11029*c_0110_6 + 21599/11029, c_0101_3 - 10015/11029*c_0110_6^9 + 47889/11029*c_0110_6^8 - 166955/11029*c_0110_6^7 + 422970/11029*c_0110_6^6 - 641120/11029*c_0110_6^5 + 583859/11029*c_0110_6^4 - 9238/269*c_0110_6^3 + 117844/11029*c_0110_6^2 - 70517/11029*c_0110_6 + 11237/11029, c_0101_8 + 7949/11029*c_0110_6^9 - 35759/11029*c_0110_6^8 + 123021/11029*c_0110_6^7 - 301940/11029*c_0110_6^6 + 424166/11029*c_0110_6^5 - 337686/11029*c_0110_6^4 + 4029/269*c_0110_6^3 + 26457/11029*c_0110_6^2 + 11582/11029*c_0110_6 + 10680/11029, c_0101_9 + 2036/11029*c_0110_6^9 - 14591/11029*c_0110_6^8 + 56770/11029*c_0110_6^7 - 165652/11029*c_0110_6^6 + 330158/11029*c_0110_6^5 - 415112/11029*c_0110_6^4 + 8271/269*c_0110_6^3 - 168214/11029*c_0110_6^2 + 27608/11029*c_0110_6 - 19378/11029, c_0110_4 + 10570/11029*c_0110_6^9 - 51991/11029*c_0110_6^8 + 183156/11029*c_0110_6^7 - 468754/11029*c_0110_6^6 + 730588/11029*c_0110_6^5 - 684470/11029*c_0110_6^4 + 10426/269*c_0110_6^3 - 111099/11029*c_0110_6^2 + 37957/11029*c_0110_6 - 8578/11029, c_0110_6^10 - 5*c_0110_6^9 + 18*c_0110_6^8 - 47*c_0110_6^7 + 77*c_0110_6^6 - 81*c_0110_6^5 + 61*c_0110_6^4 - 27*c_0110_6^3 + 13*c_0110_6^2 - 3*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB