Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 4021187386] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1230 geometric_solution 5.12741424 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.787572522067 1.482376271712 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.546071006408 0.136166825382 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097713684526 0.524744228653 4 2 5 6 2310 0132 0132 0132 0 0 0 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 0 1 -1 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 0.063509518565 1.052468469996 5 6 3 2 0132 2310 3201 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 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 0.063509518565 1.052468469996 4 5 5 3 0132 1230 3012 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 1 0 -1 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 0.886318685921 1.001003126058 6 6 3 4 1302 2031 0132 3201 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 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 0.496670663163 0.446419348303 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 16301311960208/3137782963945*c_0110_6^11 + 36420431384196/3137782963945*c_0110_6^10 - 41972542991644/3137782963945*c_0110_6^9 - 184456733323353/3137782963945*c_0110_6^8 + 718851038233199/3137782963945*c_0110_6^7 - 1322388738078056/3137782963945*c_0110_6^6 + 40344530951494/89650941827*c_0110_6^5 - 1063268130636671/3137782963945*c_0110_6^4 + 675300816035394/3137782963945*c_0110_6^3 - 337852605978528/3137782963945*c_0110_6^2 + 22244020997832/448254709135*c_0110_6 - 68518639104026/3137782963945, c_0011_0 - 1, c_0011_2 - 17086235016/89650941827*c_0110_6^11 + 21401792856/89650941827*c_0110_6^10 - 35311265750/89650941827*c_0110_6^9 - 203045104584/89650941827*c_0110_6^8 + 543282708910/89650941827*c_0110_6^7 - 1013417562927/89650941827*c_0110_6^6 + 1011790515279/89650941827*c_0110_6^5 - 819205346409/89650941827*c_0110_6^4 + 336572216426/89650941827*c_0110_6^3 - 1013692865/89650941827*c_0110_6^2 + 38261492204/89650941827*c_0110_6 + 119256388684/89650941827, c_0011_4 + 17530582976/89650941827*c_0011_6*c_0110_6^11 - 16063530564/89650941827*c_0011_6*c_0110_6^10 + 27470155244/89650941827*c_0011_6*c_0110_6^9 + 203983448841/89650941827*c_0011_6*c_0110_6^8 - 464336649950/89650941827*c_0011_6*c_0110_6^7 + 827386093498/89650941827*c_0011_6*c_0110_6^6 - 870282883661/89650941827*c_0011_6*c_0110_6^5 + 1034414705788/89650941827*c_0011_6*c_0110_6^4 - 743357666636/89650941827*c_0011_6*c_0110_6^3 + 377784162116/89650941827*c_0011_6*c_0110_6^2 - 308543711478/89650941827*c_0011_6*c_0110_6 + 39159256943/89650941827*c_0011_6, c_0011_6^2 + 14669155536/89650941827*c_0110_6^11 - 21142145044/89650941827*c_0110_6^10 + 13865616624/89650941827*c_0110_6^9 + 189451610113/89650941827*c_0110_6^8 - 499981615820/89650941827*c_0110_6^7 + 704960494502/89650941827*c_0110_6^6 - 444936337680/89650941827*c_0110_6^5 + 267899299092/89650941827*c_0110_6^4 - 166537010638/89650941827*c_0110_6^3 - 84565090140/89650941827*c_0110_6^2 - 3298406072/89650941827*c_0110_6 - 24156410894/89650941827, c_0101_0 + 60290711808/89650941827*c_0110_6^11 - 108939195404/89650941827*c_0110_6^10 + 87269972684/89650941827*c_0110_6^9 + 775002309211/89650941827*c_0110_6^8 - 2396706024792/89650941827*c_0110_6^7 + 3624149453032/89650941827*c_0110_6^6 - 2630161102945/89650941827*c_0110_6^5 + 761434108868/89650941827*c_0110_6^4 + 1656252404/89650941827*c_0110_6^3 - 262738459024/89650941827*c_0110_6^2 + 118775823272/89650941827*c_0110_6 - 71169261733/89650941827, c_0101_1 - 43336979528/89650941827*c_0110_6^11 + 75036318780/89650941827*c_0110_6^10 - 56165685774/89650941827*c_0110_6^9 - 559076342421/89650941827*c_0110_6^8 + 1673358882039/89650941827*c_0110_6^7 - 2473534392643/89650941827*c_0110_6^6 + 1712256124940/89650941827*c_0110_6^5 - 542764888461/89650941827*c_0110_6^4 + 27441205670/89650941827*c_0110_6^3 + 185788476711/89650941827*c_0110_6^2 - 87930077640/89650941827*c_0110_6 + 54112383086/89650941827, c_0110_6^12 - 2*c_0110_6^11 + 7/4*c_0110_6^10 + 49/4*c_0110_6^9 - 167/4*c_0110_6^8 + 67*c_0110_6^7 - 235/4*c_0110_6^6 + 32*c_0110_6^5 - 67/4*c_0110_6^4 + 9/4*c_0110_6^3 + 2*c_0110_6^2 - 1/2*c_0110_6 + 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB