Magma V2.19-8 Tue Aug 20 2013 23:40:18 on localhost [Seed = 3431639117] Type ? for help. Type -D to quit. Loading file "L10a16__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a16 geometric_solution 10.07007854 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 1 0132 1230 0132 2031 1 1 0 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 0 0 0 1 0 -1 -1 0 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 0.462737397019 0.437478690570 0 0 0 3 0132 1302 3012 0132 1 1 1 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 1 0 -1 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 -0.141114644150 1.078826443527 4 5 6 0 0132 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 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 0.165282745294 0.589745450178 7 7 1 5 0132 1230 0132 3012 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 4 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119206831891 0.911340444273 2 8 6 9 0132 0132 2103 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 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 0.546873373707 0.765331278498 9 2 3 9 0132 0132 1230 2103 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 -1 0 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 0.596647358689 1.134680793704 4 10 7 2 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.218358402671 2.106110212520 3 8 3 6 0132 0213 3012 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 1 -1 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858885355850 1.078826443527 9 4 7 10 1023 0132 0213 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 -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 -0.303098067946 1.011724865755 5 8 4 5 0132 1023 0132 2103 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 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 0.596647358689 1.134680793704 10 6 8 10 3201 0132 2031 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 0.157015038183 0.894067922043 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1001_3']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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_2'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_0'], 'c_1100_8' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0110_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 56730593/608256*c_1001_3^4 - 541099/3456*c_1001_3^3 - 82926149/304128*c_1001_3^2 - 1284709/6912*c_1001_3 - 87514957/608256, c_0011_0 - 1, c_0011_10 - 41/256*c_1001_3^4 - 87/64*c_1001_3^3 - 339/128*c_1001_3^2 - 159/64*c_1001_3 - 345/256, c_0011_2 - 123/256*c_1001_3^4 - 7/8*c_1001_3^3 - 79/128*c_1001_3^2 - 7/32*c_1001_3 + 49/256, c_0011_3 - 1/2*c_1001_3 - 1/2, c_0101_0 - 1, c_0101_10 + 41/256*c_1001_3^4 + 23/32*c_1001_3^3 + 217/128*c_1001_3^2 + 29/16*c_1001_3 + 157/256, c_0101_2 - 123/256*c_1001_3^4 - 7/8*c_1001_3^3 - 79/128*c_1001_3^2 - 7/32*c_1001_3 + 49/256, c_0101_5 + 1/2*c_1001_3 - 1/2, c_0110_8 - 123/256*c_1001_3^4 - 7/8*c_1001_3^3 - 79/128*c_1001_3^2 - 7/32*c_1001_3 + 49/256, c_1001_0 + c_1001_3 - 1, c_1001_3^5 + 143/41*c_1001_3^4 + 250/41*c_1001_3^3 + 286/41*c_1001_3^2 + 5*c_1001_3 + 99/41 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0110_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 342601970743/3993778257920*c_1001_3^5 - 3283946461083/6172202762240*c_1001_3^4 - 9822163200071/6789423038464*c_1001_3^3 - 73901777799961/33947115192320*c_1001_3^2 - 139976177284451/67894230384640*c_1001_3 - 57484344162901/67894230384640, c_0011_0 - 1, c_0011_10 - 51/512*c_1001_3^5 - 419/512*c_1001_3^4 - 723/256*c_1001_3^3 - 1135/256*c_1001_3^2 - 1991/512*c_1001_3 - 991/512, c_0011_2 + 85/512*c_1001_3^5 + 313/512*c_1001_3^4 + 49/256*c_1001_3^3 - 327/256*c_1001_3^2 - 919/512*c_1001_3 - 971/512, c_0011_3 + 1/2*c_1001_3 + 1/2, c_0101_0 - 1, c_0101_10 + 17/512*c_1001_3^5 + 117/512*c_1001_3^4 + 197/256*c_1001_3^3 + 429/256*c_1001_3^2 + 901/512*c_1001_3 + 273/512, c_0101_2 + 51/512*c_1001_3^5 + 351/512*c_1001_3^4 + 455/256*c_1001_3^3 + 623/256*c_1001_3^2 + 1055/512*c_1001_3 + 483/512, c_0101_5 - 1/2*c_1001_3 + 1/2, c_0110_8 - 187/512*c_1001_3^5 - 1015/512*c_1001_3^4 - 959/256*c_1001_3^3 - 919/256*c_1001_3^2 - 1191/512*c_1001_3 + 5/512, c_1001_0 + c_1001_3 - 1, c_1001_3^6 + 100/17*c_1001_3^5 + 277/17*c_1001_3^4 + 464/17*c_1001_3^3 + 555/17*c_1001_3^2 + 396/17*c_1001_3 + 239/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB