Computing Misiurewicz points of function F(z)=Z*Z+c
code in Maxima
----------------------
Adam Majewski 
fraktal.republika.pl
21.07.2007 - 2009.11.23
---------------------


P(n):=if n=0 then 0 else P(n-1)^2+c;

(%o1) P(n):=if n=0 then 0 else P(n-1)^2+c


M(preperiod,period):=allroots(%i*P(preperiod+period)-%i*P(preperiod));


---------------------------------------
M(1,1)
(%i2) allroots(%i*P(2)-%i*P(1));

Unexpected error. Treat results with caution.

(%o2) [c=0.0,c=0.0]


---------------------------------------------

M(2,1)
(%i3) allroots(%i*P(3)-%i*P(2));

(%o3) 
c=-2.0 OK
-------

[c=0.0,c=0.0,c=0.0,
---------------------------------------------------------------

M(3,1)
(%i4) allroots(%i*P(4)-%i*P(3));

(%o4) 
c=-0.22815549365396+1.115142508039938*%i, OK
c=-0.22815549365396-1.115142508039937*%i, OK

c=-6.809138539792238*10^-17*%i-1.543689012692075 = -1.543689012692075, OK 
--------------------
[c=0.0,c=0.0,c=0.0,c=0.0,
c=-2.2204460492503131*10^-16*%i-2.000000000000001 = -2


--------------------------------------------------------------------------

M(4,1)
(%i5) allroots(%i*P(5)-%i*P(4));

(%o5) [

c=-
6.0087441045239776*10^-12*%i-1.892910987916928= -1.892910987916928 OK
c=-
1.296355138174175-0.44185160573667*%i, OK
c=-1.296355138174036+0.44185160573422*%i, OK
c=-0.10109636384548-0.95628651080904*%i, OK
c=-0.10109636384561+0.95628651080917*%i, OK
c=0.34390699597257+0.70062002023501*%i,  OK
c=0.34390699597257-
0.70062002023501*%i,  OK
-----

c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,


c=
1.115142508039922*%i-0.22815549365401,
c=-1.115142508040108*%i-0.22815549365402,

c=5.4763615569566511*10^-12*%i-1.543689012686205,

c=3.0378228472389173*10^-12*%i-1.999999999994676]


--------------------------------------------------------------------------------------
M(5,1);

(%o3) [c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,
c=0.40993310830098*%i+0.44455687925504,
c=0.44455687925504
-0.40993310830098*%i,
c=0.36636298342261-0.59153377326136*%i,
c=0.59153377326144*%i+0.36636298342294,
c=
0.70062002023516*%i+0.34390699597265,
c=0.34390699597268-0.70062002023499*%i,
c=-1.037652343788873*%i-
0.017187977333884,
c=0.68503129705295*%i-0.63675434659276,
c=-0.68503129708885*%i-0.63675434655717,
c=
0.95628651084096*%i-0.10109636382943,
c=-0.95628651080766*%i-0.10109636386794,
c=-1.115142508058648*%i-
0.22815549365222,
c=1.037652343792283*%i-0.017187977349252,
c=-1.086624831841711*%i-0.17589070595714,
c=
1.115142508049601*%i-0.22815549363614,
c=1.086624831829507*%i-0.17589070600137,
c=0.31688225967757*%i-
1.222863787889425,
c=-0.31688226285354*%i-1.222863785174678,
c=2.6494762061028866*10^-8*%i-1.54368912192367,
c=
0.44185160607144*%i-1.296355136665043,
c=-0.44185160672571*%i-1.296355138257822,
c=-9.8170485417985081*10^-8*%i-
1.892908839507283,
c=8.2352257844596432*10^-8*%i-1.973934435594975,
c=0.066160848052489*%i-1.771257547521864,
c=-
0.066160813795813*%i-1.771257420196316,
c=-4.1082765675493071*10^-8*%i-1.99999872979259]

-------------------------------------------------------------------------------------
(%i4) M(6,1);

(%o4) [c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,
c=0.25054164301809*%i+0.43820113569629,
c=
0.43820113569628-0.25054164301809*%i,
c=0.44455687925506-0.40993310830099*%i,
c=0.43792424135947-
0.34189208433811*%i,
c=0.40993310830101*%i+0.44455687925505,
c=0.34189208433812*%i+0.43792424135948,
c=-
0.84209994347388*%i-0.30648159263199,
c=0.5915337732526*%i+0.36636298394346,
c=0.3663629832676-0.59153377315733*
%i,
c=0.64281757094055*%i-0.5622028556173,
c=0.41300671799966-0.62412660897701*%i,
c=0.36985520169156-
0.67144825132465*%i,
c=0.87336286281528*%i+0.02565489707448,
c=0.67144825240593*%i+0.36985520113846,
c=
0.34390699602141-0.70062002045981*%i,
c=0.62412660920671*%i+0.41300671806287,
c=0.7006200196166*%i+
0.34390699536238,
c=-0.685043959375*%i-0.63675246790536,
c=-0.64280526021617*%i-0.562195676457,
c=
0.84209941456835*%i-0.30648132735295,
c=0.025654826459772-0.87336286797762*%i,
c=-0.95628355992066*%i-
0.10109392822798,
c=0.68503249766622*%i-0.63675322221172,
c=0.95628442150431*%i-0.10109200017654,
c=-
1.00600155318954*%i-0.016604863942747,
c=1.037656967130668*%i-0.017189026585284,
c=1.006000916378715*%i-
0.016601124255023,
c=-0.14113689247152*%i-1.072848151620345,
c=0.39053243922459*%i-1.019298882644241,
c=
1.086452347487209*%i-0.17606074060675,
c=-1.03765313838711*%i-0.017187596568626,
c=0.14690698905444*%i-
1.061404450707295,
c=-1.113746059285171*%i-0.15877650416527,
c=-1.113029074272105*%i-0.20962510781981,
c=
1.113396605327089*%i-0.20954075219371,
c=1.113769370300545*%i-0.15864193976168,
c=-1.086678950412936*%i-
0.17593985692276,
c=1.115010998724367*%i-0.22827052299106,
c=-0.56418866302946*%i-1.250590989902377,
c=-
0.38512699784338*%i-1.013134725918125,
c=-1.11517903449319*%i-0.22816818190781,
c=0.31709393605142*%i-
1.159418621097636,
c=-0.19648871382209*%i-1.167285812714526,
c=-0.46112997998393*%i-1.107925281878303,
c=
0.46651818029286*%i-1.141840181467799,
c=0.56584707138657*%i-1.286202374271302,
c=-0.59392699871218*%i-
1.449711872322315,
c=0.58294225550448*%i-1.495198860873664,
c=-0.24430081297524*%i-2.240759548102634,
c=
0.57486476200804*%i-1.740179686207436,
c=-0.57726405834917*%i-1.702643867439564,
c=-0.5080800998658*%i-
1.94617186411027,
c=0.38071064869922*%i-2.206672519456015,
c=0.52030696142201*%i-1.990413662975008,
c=-
0.37580798591391*%i-2.127239468322517,
c=-0.066001547309875*%i-2.339753503747502,
c=0.16772893422995*%i-
2.334584419563021]

-------------------------------------------
(%i5) M(7,1);

(%o5) [c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,
c=0.35755141946846*%i+0.46768462947749,
c=
0.20753022816481*%i+0.42451271905026,
c=0.42451271905198-0.20753022816697*%i,
c=0.16155503876296*%i+
0.41148107380297,
c=0.41148107380416-0.16155503876281*%i,
c=0.43820113569709-0.25054164301947*%i,
c=
0.40993310871405*%i+0.44455687943491,
c=0.25054164302402*%i+0.43820113570876,
c=0.46768462946459-
0.35755141982263*%i,
c=0.45673141892951-0.3856314941403*%i,
c=1.341363498522881*%i-1.349975482110381,
c=
1.341363498522881*%i-1.349975482110384,
c=1.181581031930861*%i-1.627917148025449,
c=1.287105207984219*%i-
1.507052569417432,
c=0.038007768989591*%i+1.292497550464268,
c=1.292303910687785-0.081353767319276*%i,
c=
0.15709389425204*%i+1.287549069667199,
c=0.27521139787812*%i+1.277400581353187,
c=1.276307946942231-
0.31811122756128*%i,
c=0.39172182611894*%i+1.261927584060106,
c=1.215055511135319*%i+0.93333954798578,
c=
0.61778146516693*%i+1.214373622081075,
c=1.286942229616327-0.20028455307297*%i,
c=-1.905017429777027*%i-
1.738753580304675,
c=-2.30160627858583*%i-1.093559630585567,
c=-2.344063533283261*%i-0.94599460791691,
c=
0.078488366192879*%i+1.319776805577209,
c=0.32377645485221*%i+1.331596891368024,
c=1.366861539518759-
0.15902545397799*%i,
c=1.426065117337848-0.34504379566602*%i,
c=0.97057100803885*%i+1.32589065184665,
c=
0.51060907933145*%i+1.36340715516674,
c=1.286602644626348-1.337254202993455*%i,
c=1.455127142705712-
0.79429613069699*%i,
c=0.828017677065*%i+1.354555254357579,
c=1.465109901169919-0.6494390911583*%i,
c=
1.457719303757025-0.50102745900558*%i,
c=0.67543219943502*%i+1.365407964158249,
c=1.821925478902936*%i+
0.80732263576425,
c=1.430880291879703-0.9359005290157*%i,
c=1.107412589022026*%i+1.281388025659314,
c=
1.496319317034872*%i+1.079239642157282,
c=2.765748055591216*%i-0.49272636597529,
c=0.023106689798302*%i+
0.59456083552333,
c=0.59011514712844*%i+0.62635058491232,
c=0.72170834720908-0.53691713397905*%i,
c=
0.99741449318938-0.99450694644337*%i,
c=1.098098765047908*%i+0.79957983608844,
c=1.238803162033863*%i+
1.223240534475735,
c=1.393554495630364-1.071343311968049*%i,
c=1.539302215597719*%i+1.029345958262684,
c=
1.354135353473719-1.197526761615385*%i,
c=1.277166997944188-1.372479199547376*%i,
c=1.365386961004844*%i+
1.160313051446033,
c=1.859211648943981*%i+0.9156894049524,
c=1.278348014815643-1.54858369647087*%i,
c=
1.699086171190062*%i+1.010989106956786,
c=-1.323075006687826*%i-3.635696132684339,
c=0.23409393735485-
0.21205408600484*%i,
c=0.5750626277875*%i+0.13810412119134,
c=0.50376033608543-0.90862047215137*%i,
c=
1.338516353676958*%i+0.25377486251366,
c=0.87437523867705-1.420397702784746*%i,
c=1.909731872585675*%i+
0.58050073972153,
c=1.213494439998646-1.660595423109908*%i,
c=1.25666599269148-1.804315804026587*%i,
c=
2.03443238297399*%i+0.83073185539371,
c=2.214906279159925*%i+0.75737866768335,
c=1.228878714398382-
2.020968241060573*%i,
c=1.581921393286157*%i-2.951218526806469,
c=2.406323362544763*%i+0.64926694257051,
c=
1.032375416793408-2.453699839742519*%i,
c=-3.416182755935187*%i-1.07467682613,
c=2.588056902797066*%i+
0.49984400510521,
c=1.151024669043936-2.240475101824039*%i
c=2.751324348239979*%i+0.31430780352695,
c=
0.87809507807182-2.654631573500113*%i,
c=2.891480862599373*%i+0.096663677832627,
c=-3.42295483885253*%i-
0.63764224133552,
c=1.39776257466076*%i-3.079035514852344,
c=-0.40434763468113*%i-3.121412736226296,
c=
3.034169017351203*%i-1.848943993181928,
c=0.69224926814644-2.838751440672217*%i,
c=0.47900081654478-
3.002640273679929*%i,
c=3.006207297870963*%i-0.15239535897893,
c=-3.057827757550528*%i-2.448086189286057,
c=-
3.276277904815649*%i-2.435719644075801,
c=3.104328836315864*%i-0.43397372290925,
c=-1.909663566987006*%i-
2.386764393784138,
c=-3.352200045873193*%i-2.403328066142643,
c=0.24219107343555-3.145626675940034*%i,
c=
3.194000430089643*%i-0.72594443268107,
c=-3.421326452214991*%i-3.122689299118907,
c=-3.366364025553341*%i-
0.30921921736768,
c=-0.45001619959055*%i-3.936401096208257,
c=-3.268256222302989*%i-0.019158291754448,
c=
3.241800336214899*%i-1.677579026433791,
c=2.748156084227932*%i-2.772062727734999,
c=3.252357726241282*%i-
1.027086060241719,
c=-3.338489070595962*%i-0.96205846463262,
c=3.27097040664529*%i-1.335845650513063,
c=
0.30126781487073*%i-3.75339553337941,
c=-3.544142072552132*%i-1.439657520372551,
c=1.475604611728455*%i-
3.790239178107799,
c=3.213515469483216*%i-2.042476240567306,
c=-3.543969147000367*%i-1.894113396740327,
c=
3.277387937887548*%i-2.464743365739035,
c=-1.844085177120495*%i-3.746566131589236,
c=3.032102023099347*%i-
3.630827697825337,
c=3.216907510637414*%i-3.032848055746342,
c=2.750435863674058*%i-4.154275521502396,
c=-
2.406308935415278*%i-4.994458231531016,
c=-2.911641281732854*%i-4.370170525071103,
c=-3.242570798664215*%i-
3.753661065729495,
c=2.397281051463406*%i-4.742633400329488,
c=0.097437401038066*%i-5.975374288338708,
c=-
1.708276637627391*%i-5.528296455447187,
c=1.82085003493805*%i-5.336657992683633,
c=1.02998990344096*%i-
5.782598708786938,
c=-0.85175375007769*%i-5.877929306977294]

----------------------------------------------
(%i6) M(8,1);
(%o6) [c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,c=0.0,
c=0.10928329444917*%i+
0.38472743017502,c=0.38472743017481-0.10928329444898*%i,
c=0.39739182229666-0.13351120487135*%i,c=
0.23162483535494*%i+0.4431689871464,
c=0.13351120485911*%i+0.3973918222976,c=0.46271611822173-0.70987788544792*
%i,
c=0.46271611871936-0.7098778860449*%i,c=0.49118703423562-0.76244703796447*%i,
c=0.51295104162299-
0.81880453820488*%i,c=0.019266759947724*%i+0.74722679606121,
c=0.74667215475991-0.022313657245369*%i,c=
0.10194448499583*%i+0.74838645400432,
c=0.060765373206704*%i+0.74782089380466,c=0.74614891938658-
0.063722459925551*%i,
c=0.14261151124521*%i+0.74879760611554,c=0.29994768961246*%i-1.387349556179761,
c=
0.29994768961254*%i-1.387349556179804,c=0.42629418873711*%i-1.379189386900908,
c=0.25168507738845*%i-
1.49596284874016,c=0.19340413624384*%i-1.460347513980892,
c=0.075425431710005*%i-1.876018440598156,c=
0.098313625342935*%i-1.851979572796382,
c=0.0021407067877776*%i-1.849237193318595,c=0.24986188266075*%i-
1.809261185590688,
c=0.39800376531111*%i-1.774947885842198,c=-0.41360351371402*%i-2.670286236299007,
c=-
0.41216823675027*%i-2.581751891465055,c=-2.534927645443564*%i-1.848420846676038,
c=-3.219308111972886*%i-
1.866768243219878,c=-3.810805756470816*%i-1.646851911989658,
c=-3.764706395767925*%i-1.607454216180091,c=-
3.915580866554343*%i-0.89355990047696,
c=-3.551293937742869*%i-1.970218193014892,c=-3.94396983953948*%i-
0.32031258294632,
c=-3.826334932322692*%i-1.349833018255317,c=-3.899588205344683*%i-1.007415437765254,
c=-
3.928023703292661*%i-0.77918521455194,c=-3.795373439354009*%i-1.469680353973714,
c=3.566870709298609*%i+
1.348467023717207,c=1.815403119739926-3.235440704907685*%i,
c=3.791474614840275*%i+0.82189873412829,c=
0.58301595592636-3.813948633797516*%i,
c=2.171765654796431-2.950344699455354*%i,c=1.327439330369829-
3.529469276074311*%i,
c=2.416107296732598-2.709914404020696*%i,c=3.816834355373675*%i-2.738277979352973,
c=-
3.291978879728149*%i-1.244382178361147,c=2.043078386125216-3.1949835311705*%i,
c=3.184499354913089*%i-
3.601484147554726,c=3.326796105822362*%i-3.456923228430298,
c=-3.907834936129148*%i-0.94833657845887,c=-
3.788197499619576*%i-1.476917986143262,
c=3.200019701572092*%i-3.41251594623076,c=-4.048351397530629*%i-
0.61130035136696,
c=2.418249172659861*%i-4.203975896076811,c=1.037255935449761-1.619356306910682*%i,
c=-
4.089595471654858*%i-0.32778153967804,c=-4.074198266063581*%i-0.47406731770574,
c=0.4905056982664-
4.068814649628936*%i,c=-4.117824273511946*%i-0.047057602162687,
c=2.674560847344024*%i-5.796946398762032,c=
1.987055442452658*%i-6.937934710188069,
c=1.557074383103234*%i-6.938145916178391,c=1.806685576031095*%i-
6.902628165452189,
c=2.125718474106527*%i-6.800564865438377,c=1.313338591367906*%i-6.985979540427457,
c=
1.066145049638297*%i-7.039914898529143,c=0.78914270281653*%i-7.096026991314735,
c=-0.55038065105554*%i-
7.09624820692544,c=2.351674642126763*%i-6.692016577446908,
c=0.26156046017893*%i-7.101477107770807,c=
2.577815088452508*%i-6.597349051365685,
c=3.004183523748369*%i-6.432490850456053,c=2.800712706547398*%i-
6.51170080504708,
c=1.831838494338892*%i+6.012109285100877,c=0.78753709980809*%i+6.089070286367927,
c=
3.453733067388969-4.799726539946119*%i,c=0.33783803786869-5.895715791929101*%i,
c=5.930377667251302-
1.560161421940327*%i,c=0.56841003182232-5.87328421006186*%i,
c=-5.919575692395565*%i-0.60214364730654,c=
3.803434835216485-4.553492891369796*%i,
c=3.091719405969938-5.028598927287567*%i,c=2.7115304239567-
5.239036698871017*%i,
c=2.106014680844215-5.507532946211605*%i,c=1.245344587302327-5.762162862045114*%i,
c=
2.904101467724886-5.136507747945123*%i,c=1.682369007164991-5.650134710969526*%i,
c=4.304726124399976-
4.139481962532266*%i,c=2.514119894481209-5.33540763136989*%i,
c=5.309171459600574*%i+3.5009435189197,c=
3.011854242644596*%i+5.635289932976824,
c=4.845751347705878*%i-0.37573951965729,c=3.952556079769763*%i+
2.686230740628975,
c=6.018349005147071*%i+2.59075108902546,c=7.939670686935638*%i-0.39976097596974,
c=
5.163149126802487*%i+5.396171766864675,c=7.90079520951747*%i-1.305646710011548,
c=2.589915546030263-
5.142531487582025*%i,c=7.196752154970416*%i+2.751340960728228,
c=1.998876102348164-5.625038256685172*%i,c=
2.33195932716023-5.478183747238874*%i,
c=1.852674640455723*%i-6.493445642857595,c=1.697802151929124-
5.745132556959789*%i,
c=3.444426797556334-4.955826327602528*%i,c=1.239192627640792*%i-6.741097712854827,
c=
1.081329758709008-6.016792052170742*%i,c=3.144053042644806-5.017428352755562*%i,
c=3.762421891004021-
4.840268503759145*%i,c=4.327301070653838-4.578177118640453*%i,
c=0.83844272574573*%i-7.198859338282707,c=-
6.143070932069326*%i-3.869490499745539,
c=3.656708987373118*%i-3.899850258728721,c=-2.321826662781045*%i-
5.761092726625574,
c=5.060806087010635-4.102218498234259*%i,c=-6.332560156645007*%i-3.144262480175074,
c=
0.77773700828817-6.10325990966816*%i,c=1.141930119065535*%i+6.054713354894081,
c=1.396310898072737-
5.886957416210008*%i,c=-6.552266574988552*%i-1.40930107029111,
c=0.1123462493388-6.301613575324826*%i,c=
4.057557672638096-4.712213751749918*%i,
c=-6.418708759726511*%i-2.871375449656892,c=4.384655205911814*%i-
0.74801891411038,
c=3.356542507548137*%i+4.472448819199899,c=0.42954839816714-6.192599965216909*%i,
c=-
6.37993040244829*%i-0.19074184988433,c=2.862902765348581*%i-5.54228352681645,
c=-6.439107405731045*%i-
0.49952170936903,c=4.586754811502615-4.425167623950835*%i,
c=6.221767446475059-2.664372817844548*%i,c=
0.795007288296*%i+1.441663625447543,
c=0.18845162415922*%i-1.871235948876401,c=6.80690509407729-
1.877144409046164*%i,
c=1.064597854106222*%i-2.965024666874821,c=0.56824078345327*%i+4.025827093066412,
c=-
2.654045355780551*%i-3.695750753214842,c=4.989305037951624-0.091909323528591*%i,
c=5.726223824668257-
1.604572585738855*%i,c=-4.739704380114902*%i-4.272892531623457,
c=-6.490504776727361*%i-0.80855034811106,c=
4.833627543406855-4.268764489966824*%i,
c=5.272080721540796-3.922272154220294*%i,c=5.655061803896964-
3.525167227256113*%i,
c=-6.262959020030124*%i-4.838272836369153,c=0.012982741600872*%i+1.313619556633353,
c=-
1.217079698083007*%i-1.012303053520027,c=0.1833418294907*%i+3.949308214645131,
c=-3.116053404751085*%i-
2.50916885076632,c=-6.361397286980106*%i-3.571312869644266,
c=-6.522501613078268*%i-2.290000441897683,c=
5.616453436739231*%i-5.469974701249933,
c=6.284340807954825-0.64597443167951*%i,c=-5.045550574277787*%i-
3.058123452569813,
c=7.16159949300426*%i+3.301158421445503,c=5.829268249793637-3.309184480981462*%i,
c=-
6.529518414673055*%i-1.110923877561578,c=0.97307565895454*%i+8.521391986183874,
c=0.79236695841517-
0.16578350774135*%i,c=-1.520552532634104*%i-2.112231780497118,
c=3.70996453217156-0.4122909470298*%i,c=
5.635938455540498-1.596689200308773*%i,
c=-3.89563418784444*%i-3.943301163648275,c=8.470983773475629*%i-
4.459131908741681,
c=5.469747738890274-3.729532315005966*%i,c=6.679579864748509*%i+0.40447755668549,
c=-
6.558651710077569*%i-1.706049680126756,c=6.096791345012588-2.848954151572689*%i,
c=0.7518724571506*%i-
7.017829894387965,c=4.725306549224229*%i+8.018818978347458,
c=6.746926017337359-2.233319767817036*%i,c=
7.146477477606688-1.785073632786639*%i,
c=-6.547844833858064*%i-2.000832035604089,c=6.443023174718621-
2.530266903864269*%i,
c=5.989154201290139-3.072295197489119*%i,c=-6.253301361773144*%i-3.23792186239456,
c=
7.780150937348393-1.001783981973285*%i,c=-6.332345698800703*%i-4.011663707216304,
c=-6.487357272724723*%i-
2.580559527626026,c=-6.108745777439375*%i-5.278986518613863,
c=11.0375060890971*%i+2.711638666407301,c=
0.40242938938348*%i-1.954976886319839,
c=1.886306030841741*%i+0.84798783002629,c=-1.701327556737416*%i-
3.997638254903929,
c=2.449279460580199*%i+3.898485704113757,c=-3.91721170351735*%i-5.150913882759328,
c=
2.10186094104004*%i+6.747839897004815,c=-5.827947682860843*%i-5.200332984833661,
c=-6.070435479405941*%i-
5.455370171908738,c=8.229738298399836-0.067447573758885*%i,
c=7.491669716728221-1.417551333157612*%i,c=-
6.341478715879018*%i-4.427189905935681,
c=8.02631053056276-0.5486619920963*%i,c=0.434803899874*%i+
8.398883072208811,
c=-4.995216268647313*%i-9.966662644200813,c=3.069648812745168*%i-2.491445436261511,
c=
5.101507957785266*%i+1.744384411902078,c=0.030431153293195*%i-5.467564227583319,
c=-3.274829053459942*%i-
6.991481124482488,c=4.892245986472741*%i+6.292962969602039,
c=17.33993163246864*%i-2.227632282057945,c=
0.023803336678341*%i+0.36730023007953,
c=-2.515367384703947*%i-3.149654664663048,c=0.85168787571214*%i+
4.300133261920296,
c=-5.304350787784085*%i-4.747714805403267,c=0.66419666816139*%i+7.075298943264602,
c=
0.66203790935218*%i+8.643162223462795,c=-7.271113321376193*%i-7.621872019248977,
c=-6.691332614966617*%i-
5.504006909823202,c=1.223735273941594*%i+9.625404115539467,
c=-7.190719620433563*%i-6.484149397132261,c=
2.162439922937775*%i+10.34637115089811,
c=7.506293688062971*%i+11.0778280838737,c=-7.020802398998619*%i-
8.802132601126356,
c=3.330663396341637*%i+10.84817451150875,c=4.650402911420387*%i+11.13711611829419,
c=-
6.456181306259544*%i-9.97950426097645,c=6.059653586189739*%i+11.2154085915073,
c=-5.639951620970993*%i-
11.20496824207096,c=-4.717546668685747*%i-12.33292241260849,
c=-3.610205885796318*%i-13.29155700903263,c=
10.35918637654488*%i+10.14386675318279,
c=0.64578700289273*%i-15.15742688124581,c=16.95704132001141*%i-
5.759046415802106,
c=8.950407550920991*%i+10.71988886076354,c=-2.327574502029549*%i-14.08794878363274,
c=
11.70247750559076*%i+9.356948680004091,c=-0.89826110660367*%i-14.7134537790389,
c=2.270704082479844*%i-
15.41025371104088,c=14.08440288513843*%i+7.200886762458267,
c=15.94155975458502*%i+4.427266417788804,c=
3.949475018858271*%i-15.46211313201628,
c=12.9538379177404*%i+8.371604411535717,c=15.07408219953163*%i+
5.884345831915692,
c=5.621686321992323*%i-15.29244406197606,c=15.1744379422898*%i-8.114356856006175,
c=
14.74344769872201*%i-10.23335889197954,c=8.985954251374952*%i-14.4301531979394,
c=11.57236841127041*%i-
12.6738311172796,c=7.271889763958659*%i-14.97768695864973,
c=17.31551028107432*%i-0.44156707895326,c=
16.9725204023516*%i+1.192537307641082,
c=13.27781528827993*%i-11.82296214798086,c=17.22354111318965*%i-
3.848072610648913,
c=16.59915858297749*%i+2.797083296958189,c=10.55781889159781*%i-13.42518030187902,
c=
15.90008271997925*%i-7.714770496883462]


===================================
(%i3) M(3,2);
(%o3) [
c=0.0,
c=0.0,
c=0.0,
c=0.0,
c=0.6062907292072*%i+0.41964337760708,
c=0.41964337760708-0.6062907292072*%i,
c=1.3653732529273974*10^-7*%i-1.000000068826964,
c=-1.0*%i-1.3457156176204422*10^-15,
c=1.0*%i-2.2333744028733519*10^-15,
c=-6.8229460196001911*10^-8*%i-0.99999996431001,
c=-1.115142508039941*%i-0.22815549365396,
c=1.115142508039937*%i-0.22815549365396,
c=-6.8307932158461822*10^-8*%i-0.99999996686303,
c=5.0972222690713321*10^-13*%i-1.543689012691781, /* it is M(3,1)=-1.543689012691781 */
c=-9.4889860855621219*10^-13*%i-1.839286755214936, /* c = -1.839286755214936 */
c=5.0907942006953277*10^-13*%i-1.99999999999951]


--------------------------------------------------------------------------------------------
http://www.ibiblio.org/e-notes/MSet/CPeriod.htm

num  	preperiod	period		c			|l|		Arg(l)o
=========================================================================================
1	2		1		-2			4		0
------------------------------------------------------------------------------------
2	3		1		-1.54369		1.67857		180
3   	3   		1		-0.22816+1.11514i   	3.08738   	-23.126
------------------------------------------------------------------------------------
4	4		1		-1.89291		1.92774		180
5	4		1		-1.29636+0.44185i	3.52939		-5.7209
6	4		1		-0.10110+0.95629i	1.32833		119.553
7	4		1		0.34391+0.70062i	2.45805		-30.988
---------------------------------------------------------------------------------------
	3		2		-1.839286755214936