Magma V2.19-8 Tue Aug 20 2013 18:01:35 on localhost [Seed = 1865341566] Type ? for help. Type -D to quit. Loading file "11_284__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_284 geometric_solution 11.72040209 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 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 0.350271119249 0.363692451511 0 5 7 6 0132 0132 0132 0132 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 1 -1 0 0 0 5 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625084450261 1.256677531173 7 0 4 8 0132 0132 2103 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 -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 0.510147111717 1.190279506142 9 8 5 0 0132 0132 2031 0132 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776882800410 1.485680827482 2 10 0 11 2103 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803677076061 0.722958204668 11 1 7 3 1302 0132 1023 1302 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 -1 -5 6 -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 0.405934331518 0.456432785008 12 8 1 9 0132 1023 0132 2103 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 -5 0 5 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 0.456368375071 1.660436903147 2 11 5 1 0132 1302 1023 0132 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 -1 1 0 0 5 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821366448596 1.324355330437 6 3 2 10 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395784973382 0.364702487558 3 10 12 6 0132 3012 0132 2103 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.340350735538 1.064681409153 9 4 8 12 1230 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.816894018367 0.646026497793 12 5 4 7 2310 2031 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.803844799405 0.851330964101 6 10 11 9 0132 0321 3201 0132 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 1 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157149809900 0.561587311253 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_5']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : 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_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_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0110_5']), '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_11']), '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' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : 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_11']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], '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_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_0110_5, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3526/1073*c_1001_1^8 + 171487/16095*c_1001_1^7 - 114319/16095*c_1001_1^6 - 370838/16095*c_1001_1^5 + 182293/16095*c_1001_1^4 + 58874/3219*c_1001_1^3 - 125027/16095*c_1001_1^2 + 1405/3219*c_1001_1 + 17467/3219, c_0011_0 - 1, c_0011_10 - 92/145*c_1001_1^8 - 301/145*c_1001_1^7 + 33/145*c_1001_1^6 + 263/145*c_1001_1^5 + 323/145*c_1001_1^4 + 123/145*c_1001_1^3 - 606/145*c_1001_1^2 - 81/29*c_1001_1 - 6/145, c_0011_11 - 6/29*c_1001_1^8 - 153/145*c_1001_1^7 - 30/29*c_1001_1^6 + 157/145*c_1001_1^5 + 256/145*c_1001_1^4 + 274/145*c_1001_1^3 - 37/29*c_1001_1^2 - 429/145*c_1001_1 - 123/145, c_0011_12 - 20/29*c_1001_1^8 - 307/145*c_1001_1^7 + 16/29*c_1001_1^6 + 243/145*c_1001_1^5 + 399/145*c_1001_1^4 + 111/145*c_1001_1^3 - 104/29*c_1001_1^2 - 386/145*c_1001_1 - 62/145, c_0101_0 - 33/145*c_1001_1^8 - 18/29*c_1001_1^7 + 67/145*c_1001_1^6 + 106/145*c_1001_1^5 + 154/145*c_1001_1^4 - 7/29*c_1001_1^3 - 189/145*c_1001_1^2 - 63/145*c_1001_1 + 6/29, c_0101_1 - 5/29*c_1001_1^8 - 84/145*c_1001_1^7 + 4/29*c_1001_1^6 + 126/145*c_1001_1^5 + 78/145*c_1001_1^4 - 23/145*c_1001_1^3 - 55/29*c_1001_1^2 - 82/145*c_1001_1 + 86/145, c_0101_10 - 201/145*c_1001_1^8 - 651/145*c_1001_1^7 + 39/145*c_1001_1^6 + 411/145*c_1001_1^5 + 147/29*c_1001_1^4 + 293/145*c_1001_1^3 - 1138/145*c_1001_1^2 - 679/145*c_1001_1 - 131/145, c_0101_11 - 56/145*c_1001_1^8 - 216/145*c_1001_1^7 - 106/145*c_1001_1^6 + 121/145*c_1001_1^5 + 60/29*c_1001_1^4 + 148/145*c_1001_1^3 - 268/145*c_1001_1^2 - 534/145*c_1001_1 - 131/145, c_0101_3 - 109/145*c_1001_1^8 - 70/29*c_1001_1^7 + 6/145*c_1001_1^6 + 148/145*c_1001_1^5 + 412/145*c_1001_1^4 + 34/29*c_1001_1^3 - 532/145*c_1001_1^2 - 419/145*c_1001_1 - 25/29, c_0101_7 + 6/145*c_1001_1^8 + 77/145*c_1001_1^7 + 146/145*c_1001_1^6 - 26/29*c_1001_1^5 - 57/145*c_1001_1^4 - 136/145*c_1001_1^3 + 8/145*c_1001_1^2 + 312/145*c_1001_1 + 42/145, c_0110_5 + 36/145*c_1001_1^8 + 17/29*c_1001_1^7 - 139/145*c_1001_1^6 - 142/145*c_1001_1^5 - 23/145*c_1001_1^4 + 5/29*c_1001_1^3 + 338/145*c_1001_1^2 - 129/145*c_1001_1 - 25/29, c_1001_0 + 14/145*c_1001_1^8 + 83/145*c_1001_1^7 + 99/145*c_1001_1^6 - 22/29*c_1001_1^5 - 133/145*c_1001_1^4 - 124/145*c_1001_1^3 - 78/145*c_1001_1^2 + 293/145*c_1001_1 - 47/145, c_1001_1^9 + 4*c_1001_1^8 + 2*c_1001_1^7 - 3*c_1001_1^6 - 5*c_1001_1^5 - 4*c_1001_1^4 + 5*c_1001_1^3 + 8*c_1001_1^2 + 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.090 Total time: 3.310 seconds, Total memory usage: 64.12MB