Magma V2.19-8 Tue Aug 20 2013 23:57:24 on localhost [Seed = 1864959927] Type ? for help. Type -D to quit. Loading file "L14n32709__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32709 geometric_solution 10.85230083 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 0 0 0 0 0 1 -1 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.051557436084 0.790998900306 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393581887257 0.714298302897 8 0 10 9 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 1 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 0.395099731178 0.706780180429 11 6 10 0 0132 0132 3120 0132 1 0 1 1 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 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 -0.274369922399 1.423197558375 5 8 0 6 0132 0132 0132 2103 1 0 1 1 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 -1 1 0 -1 0 1 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 0.301050933117 0.816669082598 4 1 7 9 0132 0132 3120 3120 1 0 1 1 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 1 0 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 1.316609352838 1.193725711807 10 3 1 4 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.055399496156 0.639449230188 8 9 5 1 2103 3120 3120 0132 1 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 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 1.274369922399 1.423197558375 2 4 7 11 0132 0132 2103 0132 1 0 1 1 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 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 0.948442563916 0.790998900306 5 7 2 11 3120 3120 0132 2103 1 0 1 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 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 0.134476409068 1.552195276551 6 11 3 2 0132 0132 3120 0132 1 0 1 1 0 0 0 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 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 -0.316609352838 1.193725711807 3 10 8 9 0132 0132 0132 2103 1 0 1 1 0 0 0 0 -1 0 1 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 -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 0.309291238730 0.813584036499 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], '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_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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_1']), '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 2979472303087/864448477420*c_1001_11^15 - 121529558778809/21611211935500*c_1001_11^14 + 4160857046061/5402802983875*c_1001_11^13 + 68525092878411/5402802983875*c_1001_11^12 - 1873144216221053/64833635806500*c_1001_11^11 + 214320783092227/6483363580650*c_1001_11^10 - 522985199560569/21611211935500*c_1001_11^9 - 203766263211887/32416817903250*c_1001_11^8 + 1363313073578279/64833635806500*c_1001_11^7 - 524909851165081/16208408951625*c_1001_11^6 + 534992304561017/16208408951625*c_1001_11^5 - 573111465292511/12966727161300*c_1001_11^4 + 1755328777860497/64833635806500*c_1001_11^3 + 786480593486/5402802983875*c_1001_11^2 - 275172365005592/16208408951625*c_1001_11 + 163339536265237/16208408951625, c_0011_0 - 1, c_0011_10 - 17750811035/62868980176*c_1001_11^15 - 159248189151/314344900880*c_1001_11^14 - 14079786447/31434490088*c_1001_11^13 - 166839092989/314344900880*c_1001_11^12 + 61062660173/78586225220*c_1001_11^11 + 163918832851/157172450440*c_1001_11^10 + 663814276661/314344900880*c_1001_11^9 + 814836630029/314344900880*c_1001_11^8 + 2627027027/1195227760*c_1001_11^7 + 1105236692669/314344900880*c_1001_11^6 + 369059913819/157172450440*c_1001_11^5 + 86555924427/78586225220*c_1001_11^4 + 273019734859/314344900880*c_1001_11^3 - 17260531695/31434490088*c_1001_11^2 - 71527754799/314344900880*c_1001_11 - 17111077091/62868980176, c_0011_7 - 12228467935/62868980176*c_1001_11^15 - 107338189491/314344900880*c_1001_11^14 - 5558667759/31434490088*c_1001_11^13 + 20411963511/314344900880*c_1001_11^12 + 68594826643/78586225220*c_1001_11^11 + 122866678651/157172450440*c_1001_11^10 + 378801824521/314344900880*c_1001_11^9 + 209240600049/314344900880*c_1001_11^8 + 259884631561/314344900880*c_1001_11^7 + 220993595809/314344900880*c_1001_11^6 - 23959822101/157172450440*c_1001_11^5 - 71773514143/78586225220*c_1001_11^4 - 642716177761/314344900880*c_1001_11^3 - 22391102215/31434490088*c_1001_11^2 - 135080126259/314344900880*c_1001_11 - 48476436727/62868980176, c_0011_9 + 22899630715/62868980176*c_1001_11^15 + 2112981399/314344900880*c_1001_11^14 - 5937267349/31434490088*c_1001_11^13 + 284916701541/314344900880*c_1001_11^12 - 123379392227/78586225220*c_1001_11^11 - 8541704779/157172450440*c_1001_11^10 - 334140195789/314344900880*c_1001_11^9 - 598898698901/314344900880*c_1001_11^8 - 94724797709/314344900880*c_1001_11^7 - 162976226021/314344900880*c_1001_11^6 + 170792927689/157172450440*c_1001_11^5 - 45241311323/78586225220*c_1001_11^4 + 176356595589/314344900880*c_1001_11^3 + 78412671327/31434490088*c_1001_11^2 + 80697158751/314344900880*c_1001_11 + 53843221019/62868980176, c_0101_0 - 1, c_0101_1 - 86113419285/62868980176*c_1001_11^15 - 492344618601/314344900880*c_1001_11^14 - 13608117489/31434490088*c_1001_11^13 - 774327150259/314344900880*c_1001_11^12 + 246891161553/78586225220*c_1001_11^11 + 338627235381/157172450440*c_1001_11^10 + 1439718757531/314344900880*c_1001_11^9 + 2879115709539/314344900880*c_1001_11^8 + 2999755219051/314344900880*c_1001_11^7 + 4411517595619/314344900880*c_1001_11^6 + 1444795900949/157172450440*c_1001_11^5 + 706471026747/78586225220*c_1001_11^4 + 2488005162789/314344900880*c_1001_11^3 + 90245642639/31434490088*c_1001_11^2 + 1235049399351/314344900880*c_1001_11 + 28083583923/62868980176, c_0101_10 - 14660409115/15717245044*c_1001_11^15 - 125231957889/78586225220*c_1001_11^14 - 4774913163/7858622522*c_1001_11^13 - 129296263361/78586225220*c_1001_11^12 + 53659032449/39293112610*c_1001_11^11 + 135379565689/39293112610*c_1001_11^10 + 213962228069/78586225220*c_1001_11^9 + 605191870301/78586225220*c_1001_11^8 + 695966389229/78586225220*c_1001_11^7 + 852563578761/78586225220*c_1001_11^6 + 408739274971/39293112610*c_1001_11^5 + 290884077621/39293112610*c_1001_11^4 + 620069387951/78586225220*c_1001_11^3 + 36591118015/7858622522*c_1001_11^2 + 310912271419/78586225220*c_1001_11 + 37512019429/15717245044, c_0101_3 - 31545431765/62868980176*c_1001_11^15 - 265748813929/314344900880*c_1001_11^14 - 29461653713/31434490088*c_1001_11^13 - 577130405091/314344900880*c_1001_11^12 + 30219215267/78586225220*c_1001_11^11 + 134120488469/157172450440*c_1001_11^10 + 945518413379/314344900880*c_1001_11^9 + 2001012513211/314344900880*c_1001_11^8 + 2193149839939/314344900880*c_1001_11^7 + 3387417273611/314344900880*c_1001_11^6 + 1545817066161/157172450440*c_1001_11^5 + 715685109013/78586225220*c_1001_11^4 + 2589572462061/314344900880*c_1001_11^3 + 126117512483/31434490088*c_1001_11^2 + 1197388282119/314344900880*c_1001_11 + 90767146203/62868980176, c_0101_5 - 35742005745/62868980176*c_1001_11^15 - 498814850157/314344900880*c_1001_11^14 - 25036920001/31434490088*c_1001_11^13 - 232268351903/314344900880*c_1001_11^12 - 16061327329/78586225220*c_1001_11^11 + 532976557977/157172450440*c_1001_11^10 + 521708716487/314344900880*c_1001_11^9 + 1821868782303/314344900880*c_1001_11^8 + 2689140759207/314344900880*c_1001_11^7 + 3247278089023/314344900880*c_1001_11^6 + 1805750027573/157172450440*c_1001_11^5 + 536526843919/78586225220*c_1001_11^4 + 2656634147393/314344900880*c_1001_11^3 + 224777143387/31434490088*c_1001_11^2 + 1010001343547/314344900880*c_1001_11 + 203891298735/62868980176, c_0101_7 + 38280010325/31434490088*c_1001_11^15 + 64504083109/31434490088*c_1001_11^14 + 9297518771/15717245044*c_1001_11^13 + 64703865011/31434490088*c_1001_11^12 - 8075929693/7858622522*c_1001_11^11 - 58627273177/15717245044*c_1001_11^10 - 99806526627/31434490088*c_1001_11^9 - 311272548643/31434490088*c_1001_11^8 - 398670746467/31434490088*c_1001_11^7 - 479167914091/31434490088*c_1001_11^6 - 237853407631/15717245044*c_1001_11^5 - 42460894625/3929311261*c_1001_11^4 - 423075446505/31434490088*c_1001_11^3 - 128208859387/15717245044*c_1001_11^2 - 132542350223/31434490088*c_1001_11 - 109451345127/31434490088, c_1001_0 + 42339519585/62868980176*c_1001_11^15 + 119257615181/314344900880*c_1001_11^14 - 21412203983/31434490088*c_1001_11^13 + 217608708679/314344900880*c_1001_11^12 - 148077119643/78586225220*c_1001_11^11 - 81640068261/157172450440*c_1001_11^10 - 115398519631/314344900880*c_1001_11^9 - 668862596279/314344900880*c_1001_11^8 - 546720747551/314344900880*c_1001_11^7 - 803106726199/314344900880*c_1001_11^6 + 77061343111/157172450440*c_1001_11^5 - 62559431877/78586225220*c_1001_11^4 - 541148878489/314344900880*c_1001_11^3 + 13480767629/31434490088*c_1001_11^2 - 172741243491/314344900880*c_1001_11 + 14207125553/62868980176, c_1001_11^16 + 18/25*c_1001_11^15 - 13/25*c_1001_11^14 + 37/25*c_1001_11^13 - 73/25*c_1001_11^12 - 6/5*c_1001_11^11 - 37/25*c_1001_11^10 - 134/25*c_1001_11^9 - 86/25*c_1001_11^8 - 134/25*c_1001_11^7 - 37/25*c_1001_11^6 - 6/5*c_1001_11^5 - 73/25*c_1001_11^4 + 37/25*c_1001_11^3 - 13/25*c_1001_11^2 + 18/25*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.280 seconds, Total memory usage: 32.09MB