Magma V2.19-8 Tue Aug 20 2013 23:29:36 on localhost [Seed = 2312105944] Type ? for help. Type -D to quit. Loading file "K14n6034__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6034 geometric_solution 7.23965208 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 0 2 0 0132 1302 0132 2031 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 1 0 -1 -13 0 14 -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 0.162174910812 0.545488944005 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 1 -14 13 13 0 0 -13 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000726602393 1.756987760723 4 5 3 0 1230 1023 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 14 0 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.499242058948 1.684341425559 2 1 5 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581796141386 0.518291501975 6 2 1 7 3120 3012 0132 0132 0 0 0 0 0 0 1 -1 1 0 -1 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 -13 13 -13 0 13 0 14 -14 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556323269408 0.515756330982 2 3 6 1 1023 1230 2310 0132 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 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277798333508 1.136372045853 7 5 3 4 1023 3201 0132 3120 0 0 0 0 0 0 0 0 1 0 0 -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 0 -1 1 -13 0 0 13 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556323269408 0.515756330982 7 6 4 7 3201 1023 0132 2310 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 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540134070420 0.744078794803 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_7' : d['1'], 's_0_4' : negation(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' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0101_7']), 'c_0110_6' : d['c_0101_7'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 36896763388238681162957/128262918653796531853304*c_0101_7^13 + 26451768858828715382203/2290409261674938068809*c_0101_7^12 - 2420712894873347875971214/16032864831724566481663*c_0101_7^11 + 2491270397764361476091760/2290409261674938068809*c_0101_7^10 - 33338487412102153798602133/9161637046699752275236*c_0101_7^9 + 230432689613691166739865625/32065729663449132963326*c_0101_7^8 - 126433682957011908787036497/18323274093399504550472*c_0101_7^7 + 98118297598502092140380899/9161637046699752275236*c_0101_7^6 - 2608680378733668253465089365/128262918653796531853304*c_0101_7^5 + 2505061211708042932642113593/128262918653796531853304*c_0101_7^4 - 1089980655591546923917804613/128262918653796531853304*c_0101_7^3 + 245698373037645125094948467/128262918653796531853304*c_0101_7^2 - 20155362068458890744635807/128262918653796531853304*c_0101_7 - 5462729274889378224530009/64131459326898265926652, c_0011_0 - 1, c_0011_2 - 28729627907632200464/120547855877628319411*c_0101_7^13 + 456383307406385296931/120547855877628319411*c_0101_7^12 - 3827976575374343838098/120547855877628319411*c_0101_7^11 + 12975978697562625898204/120547855877628319411*c_0101_7^10 - 25674202744861240027881/120547855877628319411*c_0101_7^9 + 21235841496523617776677/120547855877628319411*c_0101_7^8 - 37478864724879213338911/120547855877628319411*c_0101_7^7 + 72907188819257869451774/120547855877628319411*c_0101_7^6 - 63652780712991142612553/120547855877628319411*c_0101_7^5 + 23638269530639949740577/120547855877628319411*c_0101_7^4 - 6000511143954508697852/120547855877628319411*c_0101_7^3 + 900272974840337021974/120547855877628319411*c_0101_7^2 - 63579511868594347887/120547855877628319411*c_0101_7 - 33059940654380204350/120547855877628319411, c_0011_4 - 13085119271403346861/120547855877628319411*c_0101_7^13 + 206323471064143559111/120547855877628319411*c_0101_7^12 - 1720076836871059233730/120547855877628319411*c_0101_7^11 + 5720978977929435407592/120547855877628319411*c_0101_7^10 - 11128701289526179915811/120547855877628319411*c_0101_7^9 + 8690230356191170491549/120547855877628319411*c_0101_7^8 - 16608530655917701317887/120547855877628319411*c_0101_7^7 + 31477047937754420678794/120547855877628319411*c_0101_7^6 - 26124601615546349323938/120547855877628319411*c_0101_7^5 + 9297978873934511880415/120547855877628319411*c_0101_7^4 - 2389289489689238784904/120547855877628319411*c_0101_7^3 - 145115112501438465476/120547855877628319411*c_0101_7^2 - 2874936793412240589/120547855877628319411*c_0101_7 + 270981021756161202/120547855877628319411, c_0011_6 + 7927645084309969972/120547855877628319411*c_0101_7^13 - 124161370152393113575/120547855877628319411*c_0101_7^12 + 1028217750314337390863/120547855877628319411*c_0101_7^11 - 3345719284623522400099/120547855877628319411*c_0101_7^10 + 6294682211944808760104/120547855877628319411*c_0101_7^9 - 4307713551310052060958/120547855877628319411*c_0101_7^8 + 9094454572606599055395/120547855877628319411*c_0101_7^7 - 17868764258698618925345/120547855877628319411*c_0101_7^6 + 13259325268266083455236/120547855877628319411*c_0101_7^5 - 2839845263964974846389/120547855877628319411*c_0101_7^4 + 319278900119438398969/120547855877628319411*c_0101_7^3 - 178662290529783746992/120547855877628319411*c_0101_7^2 + 189663418126415648782/120547855877628319411*c_0101_7 - 8003425105161108610/120547855877628319411, c_0101_1 - 6045178205688631039/120547855877628319411*c_0101_7^13 + 97045595560964866092/120547855877628319411*c_0101_7^12 - 816452746167809394851/120547855877628319411*c_0101_7^11 + 2785662721525928684977/120547855877628319411*c_0101_7^10 - 5202635248005521522852/120547855877628319411*c_0101_7^9 + 3276188341696353155126/120547855877628319411*c_0101_7^8 - 4763787977808526200026/120547855877628319411*c_0101_7^7 + 14220612389641862411876/120547855877628319411*c_0101_7^6 - 10189646380416215355934/120547855877628319411*c_0101_7^5 - 3819759900192876013207/120547855877628319411*c_0101_7^4 + 5422664568772729285764/120547855877628319411*c_0101_7^3 - 1039217559933663324115/120547855877628319411*c_0101_7^2 + 261124895175138353841/120547855877628319411*c_0101_7 + 13822294691768709848/120547855877628319411, c_0101_2 + 23632864870450724950/120547855877628319411*c_0101_7^13 - 370681736542034261711/120547855877628319411*c_0101_7^12 + 3072579287335513202771/120547855877628319411*c_0101_7^11 - 10027175026510774163762/120547855877628319411*c_0101_7^10 + 18856180856749812163387/120547855877628319411*c_0101_7^9 - 12892842314190871160521/120547855877628319411*c_0101_7^8 + 26826858121487486964257/120547855877628319411*c_0101_7^7 - 53852312064894603101635/120547855877628319411*c_0101_7^6 + 39602886603289460326431/120547855877628319411*c_0101_7^5 - 7486274467584514972030/120547855877628319411*c_0101_7^4 + 1139218484531376429404/120547855877628319411*c_0101_7^3 - 713230868154140625888/120547855877628319411*c_0101_7^2 + 163237882633961310354/120547855877628319411*c_0101_7 - 47866927949288486873/120547855877628319411, c_0101_3 + 28729627907632200464/120547855877628319411*c_0101_7^13 - 456383307406385296931/120547855877628319411*c_0101_7^12 + 3827976575374343838098/120547855877628319411*c_0101_7^11 - 12975978697562625898204/120547855877628319411*c_0101_7^10 + 25674202744861240027881/120547855877628319411*c_0101_7^9 - 21235841496523617776677/120547855877628319411*c_0101_7^8 + 37478864724879213338911/120547855877628319411*c_0101_7^7 - 72907188819257869451774/120547855877628319411*c_0101_7^6 + 63652780712991142612553/120547855877628319411*c_0101_7^5 - 23638269530639949740577/120547855877628319411*c_0101_7^4 + 6000511143954508697852/120547855877628319411*c_0101_7^3 - 900272974840337021974/120547855877628319411*c_0101_7^2 + 63579511868594347887/120547855877628319411*c_0101_7 + 33059940654380204350/120547855877628319411, c_0101_7^14 - 16*c_0101_7^13 + 135*c_0101_7^12 - 466*c_0101_7^11 + 938*c_0101_7^10 - 820*c_0101_7^9 + 1353*c_0101_7^8 - 2674*c_0101_7^7 + 2442*c_0101_7^6 - 973*c_0101_7^5 + 260*c_0101_7^4 - 52*c_0101_7^3 - 4*c_0101_7^2 - c_0101_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB