Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 4206585383] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1164 geometric_solution 5.04043437 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 -1 1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769994851025 0.058390648018 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -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 1 -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 0.633457649436 0.154967256124 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 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 1 -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 0.193760618156 1.346288905231 2 5 6 4 0132 0132 0132 1230 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 -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 1.204657232103 1.421503726200 3 6 5 2 3012 1023 3201 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 -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 1.204657232103 1.421503726200 4 3 5 5 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299762509229 0.535760858140 4 6 6 3 1023 1230 3012 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 -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 0.882314139944 0.674769729554 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 165939818/14203577*c_0101_5^11 + 1451391518/14203577*c_0101_5^10 + 4855298019/14203577*c_0101_5^9 + 50766683/14203577*c_0101_5^8 - 4759742158/14203577*c_0101_5^7 - 1504228775/14203577*c_0101_5^6 - 5669524838/14203577*c_0101_5^5 - 1195244763/14203577*c_0101_5^4 + 2625962401/14203577*c_0101_5^3 + 593775716/14203577*c_0101_5^2 + 421884180/14203577*c_0101_5 + 230702210/14203577, c_0011_0 - 1, c_0011_4 - 35931/14203577*c_0101_3*c_0101_5^11 + 1951018/14203577*c_0101_3*c_0101_5^10 - 14654222/14203577*c_0101_3*c_0101_5^9 - 33975463/14203577*c_0101_3*c_0101_5^8 + 22795528/14203577*c_0101_3*c_0101_5^7 + 5538214/14203577*c_0101_3*c_0101_5^6 - 589309/14203577*c_0101_3*c_0101_5^5 + 74245183/14203577*c_0101_3*c_0101_5^4 - 41491861/14203577*c_0101_3*c_0101_5^3 + 42411030/14203577*c_0101_3*c_0101_5^2 - 19398509/14203577*c_0101_3*c_0101_5 - 2325890/14203577*c_0101_3, c_0101_0 - 6718686/14203577*c_0101_3*c_0101_5^11 + 50182195/14203577*c_0101_3*c_0101_5^10 + 274666295/14203577*c_0101_3*c_0101_5^9 + 223337561/14203577*c_0101_3*c_0101_5^8 - 246738397/14203577*c_0101_3*c_0101_5^7 - 214584705/14203577*c_0101_3*c_0101_5^6 - 242841007/14203577*c_0101_3*c_0101_5^5 - 401794888/14203577*c_0101_3*c_0101_5^4 + 141754534/14203577*c_0101_3*c_0101_5^3 + 66962047/14203577*c_0101_3*c_0101_5^2 + 7360130/14203577*c_0101_3*c_0101_5 + 53153618/14203577*c_0101_3, c_0101_1 + 18637942/14203577*c_0101_3*c_0101_5^11 - 148981594/14203577*c_0101_3*c_0101_5^10 - 671333116/14203577*c_0101_3*c_0101_5^9 - 387364482/14203577*c_0101_3*c_0101_5^8 + 620617334/14203577*c_0101_3*c_0101_5^7 + 541711393/14203577*c_0101_3*c_0101_5^6 + 654433284/14203577*c_0101_3*c_0101_5^5 + 639120916/14203577*c_0101_3*c_0101_5^4 - 291665623/14203577*c_0101_3*c_0101_5^3 - 293862063/14203577*c_0101_3*c_0101_5^2 + 1897760/14203577*c_0101_3*c_0101_5 - 106376332/14203577*c_0101_3, c_0101_3^2 - 1118258/14203577*c_0101_5^11 + 9220831/14203577*c_0101_5^10 + 37554584/14203577*c_0101_5^9 + 16742188/14203577*c_0101_5^8 - 24696624/14203577*c_0101_5^7 - 16700840/14203577*c_0101_5^6 - 59827979/14203577*c_0101_5^5 - 46810204/14203577*c_0101_5^4 + 20411175/14203577*c_0101_5^3 + 16720222/14203577*c_0101_5^2 + 5257591/14203577*c_0101_5 - 2243739/14203577, c_0101_4 - 1591708/14203577*c_0101_5^11 + 13673341/14203577*c_0101_5^10 + 48378168/14203577*c_0101_5^9 + 10281660/14203577*c_0101_5^8 - 28225949/14203577*c_0101_5^7 - 6350214/14203577*c_0101_5^6 - 73691805/14203577*c_0101_5^5 - 32106564/14203577*c_0101_5^4 - 1314410/14203577*c_0101_5^3 - 22617280/14203577*c_0101_5^2 + 21652537/14203577*c_0101_5 + 2361821/14203577, c_0101_5^12 - 9*c_0101_5^11 - 27*c_0101_5^10 + 7*c_0101_5^9 + 25*c_0101_5^8 - 3*c_0101_5^7 + 39*c_0101_5^6 + c_0101_5^5 - 18*c_0101_5^4 + 11*c_0101_5^3 - 11*c_0101_5^2 + 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB