Magma V2.19-8 Tue Aug 20 2013 17:55:25 on localhost [Seed = 2513707614] Type ? for help. Type -D to quit. Loading file "10_133__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_133 geometric_solution 7.79830023 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 1 0132 0132 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 -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 0 0 0.516805369480 0.955857858617 0 0 5 4 0132 1302 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562308296908 0.809533102322 6 0 6 4 0132 0132 3012 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 1 0 -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 -0.266710501835 1.031333177367 4 6 7 0 0132 0321 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543979290435 0.263785443514 3 2 1 8 0132 1302 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.254205443504 0.715834200340 7 8 7 1 0132 2310 2310 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 1 0 -1 0 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016688249632 0.787394840482 2 2 8 3 0132 1230 0213 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 -1 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 0.474742816926 0.386527163944 5 5 8 3 0132 3201 3201 0132 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 1 0 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423977991405 0.625008086893 7 6 4 5 2310 0213 0132 3201 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 6 0 0 -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 1.120632277473 0.996633806147 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_6'], 's_2_8' : d['1'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : negation(d['c_1001_6']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_3'], '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_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 10707175587929/99552928729568*c_1001_6^11 + 101706299727445/398211714918272*c_1001_6^10 - 316709889010623/398211714918272*c_1001_6^9 - 620865986850659/199105857459136*c_1001_6^8 + 4872215182687765/398211714918272*c_1001_6^7 - 19853962967424437/398211714918272*c_1001_6^6 + 32329939790873283/398211714918272*c_1001_6^5 - 54694211710561271/398211714918272*c_1001_6^4 + 38854395498274251/398211714918272*c_1001_6^3 - 649749180370563/5239627827872*c_1001_6^2 + 228174038379739/6222058045598*c_1001_6 - 26902049217632063/398211714918272, c_0011_0 - 1, c_0011_3 + 524611/3011496704*c_1001_6^11 + 138413/94109272*c_1001_6^10 - 11248013/3011496704*c_1001_6^9 + 57541329/3011496704*c_1001_6^8 + 58627725/1505748352*c_1001_6^7 - 117243615/752874176*c_1001_6^6 + 1165840597/1505748352*c_1001_6^5 - 1690175717/1505748352*c_1001_6^4 + 5966768419/3011496704*c_1001_6^3 - 606486015/752874176*c_1001_6^2 + 4357728355/3011496704*c_1001_6 - 667368495/3011496704, c_0011_5 + 2497757/1505748352*c_1001_6^11 - 5420977/1505748352*c_1001_6^10 + 8067851/752874176*c_1001_6^9 + 75513193/1505748352*c_1001_6^8 - 269650279/1505748352*c_1001_6^7 + 1039921299/1505748352*c_1001_6^6 - 1659611209/1505748352*c_1001_6^5 + 2707559139/1505748352*c_1001_6^4 - 1149527649/752874176*c_1001_6^3 + 1227507097/752874176*c_1001_6^2 - 1365101761/1505748352*c_1001_6 - 1563821/47054636, c_0011_8 - 544545/188218544*c_1001_6^11 + 5163019/752874176*c_1001_6^10 - 231349/11763659*c_1001_6^9 - 16049449/188218544*c_1001_6^8 + 254844923/752874176*c_1001_6^7 - 482587531/376437088*c_1001_6^6 + 1566435913/752874176*c_1001_6^5 - 1163444723/376437088*c_1001_6^4 + 1530936761/752874176*c_1001_6^3 - 1313219297/752874176*c_1001_6^2 - 17741209/752874176*c_1001_6 - 289075317/376437088, c_0101_0 - 2575425/752874176*c_1001_6^11 + 13780035/1505748352*c_1001_6^10 - 35011655/1505748352*c_1001_6^9 - 4700593/47054636*c_1001_6^8 + 669290387/1505748352*c_1001_6^7 - 2352132127/1505748352*c_1001_6^6 + 3933650305/1505748352*c_1001_6^5 - 5125610117/1505748352*c_1001_6^4 + 2862496715/1505748352*c_1001_6^3 - 221974893/188218544*c_1001_6^2 + 71054197/752874176*c_1001_6 - 1144042263/1505748352, c_0101_1 - 1489045/1505748352*c_1001_6^11 + 8787723/1505748352*c_1001_6^10 - 5855025/376437088*c_1001_6^9 - 12517933/1505748352*c_1001_6^8 + 332024617/1505748352*c_1001_6^7 - 1322087093/1505748352*c_1001_6^6 + 3265131135/1505748352*c_1001_6^5 - 5195971761/1505748352*c_1001_6^4 + 173998853/47054636*c_1001_6^3 - 2028069329/752874176*c_1001_6^2 + 2390582545/1505748352*c_1001_6 - 631771883/752874176, c_0101_3 + 276037/3011496704*c_1001_6^11 + 325339/188218544*c_1001_6^10 - 8354607/3011496704*c_1001_6^9 + 33498967/3011496704*c_1001_6^8 + 82627079/1505748352*c_1001_6^7 - 14523497/94109272*c_1001_6^6 + 882692587/1505748352*c_1001_6^5 - 1055809201/1505748352*c_1001_6^4 + 2126630573/3011496704*c_1001_6^3 + 13029799/376437088*c_1001_6^2 - 604035495/3011496704*c_1001_6 - 1850215357/3011496704, c_1001_3 - 625087/752874176*c_1001_6^11 + 1411641/1505748352*c_1001_6^10 - 4679239/1505748352*c_1001_6^9 - 12925287/376437088*c_1001_6^8 + 102210697/1505748352*c_1001_6^7 - 356809175/1505748352*c_1001_6^6 + 65133523/1505748352*c_1001_6^5 + 46851963/1505748352*c_1001_6^4 - 884505743/1505748352*c_1001_6^3 + 179620577/752874176*c_1001_6^2 + 44623951/188218544*c_1001_6 + 812084349/1505748352, c_1001_6^12 - 3*c_1001_6^11 + 9*c_1001_6^10 + 24*c_1001_6^9 - 131*c_1001_6^8 + 538*c_1001_6^7 - 1062*c_1001_6^6 + 1808*c_1001_6^5 - 1813*c_1001_6^4 + 1857*c_1001_6^3 - 1163*c_1001_6^2 + 896*c_1001_6 - 449 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB