Centers of hyperbolic components of Mandelbrot set
for function F(z)=z*z +c
for period n
are (among) roots of polynomial equation:
P(n)=0
-------------------
number of roots= 2^(n-1)
-------------
computed with Maxima http://maxima.sourceforge.net/
and package jtroot3.mac  http://common-lisp.net/~rtoy/jtroot3.mac
by Raymond Toy
/* -*- Mode: MACSYMA; Package: MAXIMA -*- */
/*
 * This is an implementation of Jenkins-Traub polynomial root finder, as
 * described in "A Three-Stage Variable-Shift Iteration for Polynomial
 * Zeros and Its Relation to Generalized Rayleigh Iteraion", Numer. Math.,
 * 14, 252-263 (1970).
 *
 * http://dz-srv1.sub.uni-goettingen.de/sub/digbib/loader?did=D196932
 *
 * I, Raymond Toy, the author, hereby place this in the public domain.
 */

------------------------------------------------------------------------------------
Author of this text file:
Adam Majewski 2007.10.30
fraktal.republika.pl
---------------------------------------

How to use :
/* definition of equation */
P(n):=if n=0 then 0 else P(n-1)^2+c;
/* load package */
load("C:/Program Files/Maxima-5.13.0/share/maxima/5.13.0/share/polyroots/jtroot3.mac")$
maperror:false;
mapprint:false 
/* compute roots for n=3 ( example) */ 
polyroots(P(3),c)


----------------------
polyroots(P(1),c);
[0]
--------------------------
polyroots(P(2),c);
[0,
-1.0b0]


----------------------------------------
polyroots(P(3),c);
[0,
-7.448617666197432b-1*%i-1.225611668766545b-1,
3.122502256758253b-16*%i-1.754877666246692b0,
7.448617666197429b-1*%i-1.225611668766539b-1]
---------------------------------------------
polyroots(P(4),c);
[0,
-6.158268339717665b-17*%i-1.0b0,
2.822713907669139b-1-5.300606175785253b-1*%i,
5.300606175785253b-1*%i+2.822713907669139b-1,
1.266348137463069b-16*%i-1.310702641336833b0,
-1.032247108922832b0*%i-1.565201668337551b-1,
-9.71445146547012b-17*%i-1.940799806529485b0,
1.032247108922832b0*%i-1.56520166833755b-1]

---------------------------------------------
polyroots(P(5),c);
[0,
-5.627657614529823b-1*%i-5.04340175446245b-1,
5.627657614529829b-1*%i-5.043401754462436b-1,
3.795135880159242b-1-3.349323055974978b-1*%i,
3.349323055974972b-1*%i+3.795135880159239b-1,
3.592592247580077b-1-6.425137371385424b-1*%i,
6.425137371385405b-1*%i+3.592592247579988b-1,
-9.865809762808856b-1*%i-4.421235770405798b-2,
9.865809762808473b-1*%i-4.421235770407031b-2,
-1.100269537292732b0*%i-1.980420993642645b-1,
1.100269537292742b0*%i-1.980420993642187b-1,
-3.803209634719154b-1*%i-1.256367930069315b0,
3.803209634734494b-1*%i-1.256367930069255b0,
-5.871443956029232b-12*%i-1.625413725115392b0,
2.183545878831072b-12*%i-1.985424253049617b0,
2.183545878831072b-12*%i-1.860782522215176b0]

------------------------------------------------
polyroots(P(6),c);
[0,
3.890068405697712b-1-2.158506508708191b-1*%i,
2.158506508708194b-1*%i+3.890068405697714b-1,
4.433256333996229b-1-3.729624166628464b-1*%i,
3.729624166628467b-1*%i+4.433256333996199b-1,
3.965345700324236b-1-6.041818104889806b-1*%i,
-7.448617666228088b-1*%i-1.225611668783014b-1,
7.448617666091968b-1*%i-1.225611668782326b-1,
3.598927390126339b-1-6.847620202117991b-1*%i,
6.041818104895672b-1*%i+3.965345700325147b-1,
6.847620202115582b-1*%i+3.598927390118026b-1,
-8.605694725011888b-1*%i-1.134186559408449b-1,
-6.629807445905905b-1*%i-5.968916446805917b-1,
8.605694724888445b-1*%i-1.134186559496359b-1,
6.629807445865011b-1*%i-5.968916445901593b-1,
-1.020497366500417b0*%i-1.557038602085513b-2,
1.020497366499316b0*%i-1.55703860154603b-2,
1.171760379697906b-9*%i-1.000000002126073b0,
-1.097780642896b0*%i-1.635982615568893b-1,
-2.403323924981451b-1*%i-1.138000669232919b0,
-1.114454265866232b0*%i-2.175267470311774b-1,
2.403324061828907b-1*%i-1.138000670694572b0,
1.097780642897758b0*%i-1.635982615448773b-1,
1.114454265872117b0*%i-2.175267470378267b-1,
-4.272688942729236b-1*%i-1.284084923647542b0,
4.272688955667407b-1*%i-1.284084927695187b0,
-4.499397236778016b-8*%i-1.476014642344321b0,
3.88393752943049b-7*%i-1.754875105526689b0,
1.205781225803448b-7*%i-1.966775368606487b0,
-3.615910304649583b-7*%i-1.772896064308548b0,
-6.328303711977471b-8*%i-1.996375145649729b0,
-5.523100073668296b-8*%i-1.907278322071242b0]

---------------------------------------------
polyroots(P(7),c);
[0,
3.760086818467676b-1-1.447493713216328b-1*%i,
1.447493713216393b-1*%i+3.760086818467659b-1,
4.323761926419965b-1-2.267599044353417b-1*%i,
2.267599044353422b-1*%i+4.323761926419846b-1,
-4.248784364846126b-1*%i-6.224362948921526b-1,
4.568232858231768b-1-3.477587008832927b-1*%i,
4.527744987254001b-1-3.961701280330285b-1*%i,
3.477587008847827b-1*%i+4.568232858219709b-1,
1.21192785998846b-1-6.106116922106151b-1*%i,
3.961701280301047b-1*%i+4.527744987237086b-1,
6.106116915014599b-1*%i+1.2119278555607b-1,
5.693247112529067b-1*%i+3.865391765738376b-1,
3.865391765797032b-1-5.693247112889802b-1*%i,
4.12916024714168b-1-6.148067601211586b-1*%i,
6.148067601434484b-1*%i+4.129160247737712b-1,
3.524825398230167b-1-6.983372396959177b-1*%i,
4.248973849735051b-1*%i-6.224261606307934b-1,
3.768932404025106b-1-6.785686930676729b-1*%i,
6.983372392713534b-1*%i+3.52482539634027b-1,
6.78568693413049b-1*%i+3.768932403533959b-1,
-6.683144369262353b-1*%i-5.307762930614161b-1,
8.423648512317506b-1*%i-2.721162087054836b-1,
6.68289418336228b-1*%i-5.307658630297378b-1,
1.489516559240611b-2-8.481487297967397b-1*%i,
8.481487128371375b-1*%i+1.489518243749674b-2,
-8.423582353909095b-1*%i-2.721145280125066b-1,
-6.8107658802215b-1*%i-6.23587335533546b-1,
6.811037679654861b-1*%i-6.235837669389794b-1,
-9.87438765492331b-1*%i-1.274809023098413b-1,
9.874370844531448b-1*%i-1.27501717006588b-1,
-1.003606357318926b0*%i-6.981616277829031b-3,
1.003604190251397b0*%i-6.982789890633874b-3,
-1.032915760224738b0*%i-1.423624539025317b-2,
1.03291540900318b0*%i-1.423359672675574b-2,
-1.071481777557923b0*%i-1.745827069439397b-1,
1.071492048405838b0*%i-1.745131144360677b-1,
-3.267654733191175b-1*%i-1.069784342112875b0,
-1.117468067142979b0*%i-2.073116568904013b-1,
8.312854462256579b-2*%i-1.396816692796887b0,
2.956226748739766b-1*%i-1.013580810310989b0,
5.209297171176271b-2*%i-1.070095305209217b0,
-3.774296865069237b-1*%i-1.063841649511416b0,
4.147018860198707b-1*%i-1.045078440732483b0,
-1.108996948871518b0*%i-1.575185414616741b-1,
-1.116250214784131b0*%i-2.248913338457707b-1,
-2.120833639025366b-1*%i-1.129873408171748b0,
1.117444827456613b0*%i-2.07355155139461b-1,
1.10901111916551b0*%i-1.575490313699203b-1,
1.116248875269416b0*%i-2.24867101892194b-1,
5.230912985443072b-1*%i-1.188342407520876b0,
-5.086912246461407b-1*%i-1.206329422678976b0,
-5.546222186238321b-1*%i-1.357038004236393b0,
5.69584755952952b-1*%i-1.345847293609163b0,
5.627157362215345b-1*%i-1.572736838273657b0,
-5.512289148634163b-1*%i-1.589328629950842b0,
-4.207687603137702b-1*%i-2.050794890051811b0,
4.379458614899576b-1*%i-2.051672167683803b0,
-5.138543808623236b-1*%i-1.839551454105317b0,
5.285766666718674b-1*%i-1.826950317769652b0,
-1.048289540415152b-1*%i-2.296961820855578b0,
9.682374597680783b-2*%i-2.303925893091711b0,
2.880760163543289b-1*%i-2.217856489698179b0,
-2.821105518928148b-1*%i-2.205584961753499b0]

------------------------------------------------
polyroots(P(8),c);
[0,
3.590310628366144b-1-1.009348768642975b-1*%i,
1.458203637665869b-1*%i+4.048996651751195b-1,
1.009348768642965b-1*%i+3.590310628366102b-1,
4.048996651751145b-1-1.458203637665802b-1*%i,
-1.432374103078194b-2*%i-1.127383400007335b0,
-1.466197448502345b-2*%i-1.127473166201086b0,
-1.746224581280648b-2*%i-1.209332796594912b0,
-1.376181768674278b-1*%i-1.218970136598427b0,
7.406032101526737b-1-2.972883781790176b-1*%i,
1.306584551974763b0*%i+5.995339561550193b-2,
7.288025055338814b-1-2.703480304728075b-1*%i,
7.605125107349539b-1-1.955243476698248b-1*%i,-
1.873657668784336b-1*%i-1.103699431167966b0,
-2.519594362178645b-1*%i-1.22155741443454b0,
8.647558276939955b-2*%i-1.229549338021229b0,
-1.505126387599743b0*%i-1.150332391440471b-1,
-2.05571614224634b-1*%i-1.398223920982603b0,
-3.701000986124675b-1*%i-1.387807516285367b0,
-5.028517688534858b-1*%i-1.37250751509428b0,
9.052548687465984b-1*%i+7.513458998284526b-1,
9.838403560340605b-4*%i-1.423522900869219b0,
9.005010980525796b-1-1.961519940722385b-1*%i,
8.890070970255315b-1-3.057248261744639b-1*%i,
1.585952217158463b0*%i-6.614370311876001b-1,
9.532624845092929b-1-2.667669805946551b-1*%i,
-3.112731899974628b-1*%i-1.338090977072365b0,
9.645842583850792b-1-4.05931609001652b-1*%i,
-1.403051830193033b-1*%i-1.567581153942174b0,
2.283271934689455b-2*%i-1.503522463370527b0,
-5.8050145577473b-1*%i-1.395308417441906b0,
9.940050608210611b-1-1.250306267869199b-1*%i,
-7.200529126082888b-1*%i-1.40109765187846b0,
1.496615703407708b-1*%i-1.581382973880249b0,
2.921852258938021b-1*%i+1.047052765317563b0,
1.022787882219488b0-1.561464548208095b-2*%i,
9.648324648167806b-1-5.129146084943948b-1*%i,
8.9238799337896b-2*%i+1.039192453015569b0,
9.040607390334394b-1-7.951951680067448b-1*%i,
1.55253514084778b0*%i+1.664240676680566b-1,
1.668176782163428b0*%i-3.214863091847213b-1,
1.189033243870084b0*%i-3.217496676303522b-1,
9.532212131433635b-1-6.117836250626471b-1*%i,
1.917384144541134b-1*%i+1.046888855552101b0,
3.905189865483211b-1*%i+1.040162840111777b0,
4.866169779536904b-1*%i+1.026384777303231b0,
6.710363896876504b-1*%i+9.774432508265961b-1,
7.78963438950899b-1-1.040690680578519b0*%i]

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

polyroots(P(9),c);
[0,
3.432044931555619b-1-7.284237788759539b-2*%i,
7.28423778875961b-2*%i+3.432044931555617b-1,
-5.300426915929891b-1*%i-1.247294421516821b0,
-5.300426915929891b-1*%i-1.247294421516821b0,
-6.576208035091013b-1*%i-1.421389989150074b0,
-1.539132141909234b0*%i-2.036423359454478b0,
-1.514584842658513b0*%i-2.10688340202732b0,
-1.428031079612998b0*%i-3.036587756779163b0,
-1.079681083241194b0*%i-3.969315278879976b0,
4.014301714917065b-1*%i-5.892345263325332b0,
3.747737019193267b0-3.539449123198555b0*%i,
3.655525302941954b0-3.645119633613816b0*%i,
3.363064239434478b0-3.94741908833169b0*%i,
5.217218269610729b-1*%i-5.947209128354761b0,
3.345785694496122b0-2.615265537068355b0*%i,
1.379643882869741b-1*%i-5.995628044750732b0,
2.908822421407431b0-3.995746616346751b0*%i,
3.836955636602868b0-3.430559742959973b0*%i,
-4.992854688360781b-1*%i-6.308662190583009b0,
3.781475038786473b0-3.588113137688538b0*%i,
3.659401564067574b0-3.781976962238061b0*%i,
-6.86564944659455b-1*%i-6.374575388768897b0,
3.952089489227034b0-3.458296381380486b0*%i,
3.266189912810869b0-3.835313960617579b0*%i,
4.309924313043421b0-3.180019841103199b0*%i,
-8.081382261576463b-1*%i-6.406783934043931b0,
-1.257171454253184b0*%i-6.864691484917542b0,
3.792808131492087b0-4.463460392658751b0*%i,
4.058458670168613b0-4.111614305221889b0*%i,
7.120445873366684b0*%i-1.080742596542586b0,
4.023809343228037b0-4.173694202375994b0*%i,
3.891069465902893b0-4.376118653236738b0*%i,
-1.264358426197533b0*%i-6.889105633167092b0,
5.495514310840409b0*%i-5.589198269326818b0,
5.155766074975468b0*%i-5.823614437195579b0,
3.495870155923996b-1*%i+6.933992870920478b0,
5.541131821218818b-1*%i+6.935622663815947b0,
6.891820880918313b0-2.61697791982057b-1*%i,
-2.179039159411219b0*%i-7.401184576024543b0,
1.361637170423858b0*%i-6.223979953727212b0,
7.592600549943469b0*%i-2.821903429405652b-1,
-6.771622130288107b0*%i-3.495779237606436b0,
7.470788006778538b0*%i-1.768589455917744b0,
9.298476778985695b-1-7.1098438110645b0*%i,
7.474202177373561b-1*%i-7.719114156330146b0,
1.703851180946641b0-6.847471199778353b0*%i,
1.126388892780913b0-7.053853271245273b0*%i,
-3.585041761014505b-1*%i-7.683942826793222b0,
2.436992421551625b0-6.481693857063848b0*%i,
6.954753920445396b0*%i+2.736055198428347b0,
-1.043915572992051b0*%i-7.590940220722339b0,
6.793348366232521b0-8.655730663750036b-1*%i,
5.25517034464385b0*%i+5.083347768620061b0,
6.69635450491834b0-1.261620298650493b0*%i,
-1.278488744560799b0*%i-7.553727698304406b0,
6.569272055761146b0*%i+3.46805287478521b0,
-5.102831926518562b0*%i-5.843690776518413b0,
6.638422878370602b0-1.457199270536803b0*%i,
5.861503802500125b0*%i-5.076976492500637b0,
7.599879331532587b0*%i-7.723468336517542b-2,
4.309313582063611b0*%i-6.429447126055057b0,
-6.294452210988785b0*%i-4.413219696999272b0,
3.870441639571411b0-5.250942739622616b0*%i,
2.783503103434736b0-6.259200976569722b0*%i,
7.134614613191258b0*%i-3.182733996217368b0,
-2.79811188231061b0*%i-7.228772216381369b0,
2.076439199296864b0-6.677636675409062b0*%i,
4.624613467508485b0*%i+5.611721397670781b0,
7.324086110643047b0*%i+1.736750325927654b0,
2.950849906938064b0-6.137879569335121b0*%i,
3.72602917831902b0-5.422147233750242b0*%i,
-5.843156497893959b-1*%i-7.65807076142912b0,
7.576898117727593b0*%i-6.914396949611953b-1,
4.01395662650851b0-5.065086864385295b0*%i,
-2.595805705747093b0*%i-7.292719027073643b0,
4.727527172363929b0*%i-6.753316677523229b0,
-1.429754188665387b0*%i-7.186065072436994b0,-
1.544908901892318b0*%i-7.518626151606748b0,
1.836407603968803b0-5.309572557886232b0*%i,
3.583532362427637b0-5.583219182829511b0*%i,
3.509315761258609b0*%i+6.744681263398355b0,
-1.804472519972523b0*%i-7.472702547401076b0,
3.766304555421755b0-4.740228940787448b0*%i,
7.80763118848277b0*%i-2.341787679291192b-1,
3.432228433385205b0-5.738434634639845b0*%i,
6.184116083550181b0*%i+4.703504275728933b0,
-1.154791286298482b-1*%i-7.779360140664541b0,
2.699543719659788b-1*%i+7.036493483253023b0,
7.705721379605216b0*%i-2.623233849585672b0,
-6.093485635958864b0*%i-3.692075782608135b0,
6.244264622505077b0*%i-1.66307565168799b0,
-1.999442796380586b0*%i-7.402174332223699b0,
-2.837754751793425b0*%i-7.177159112975794b0,
4.194681427061659b0-4.894515315542665b0*%i,
4.436311437674019b0-4.725908498438338b0*%i,
7.842251778232465b0*%i+6.82502960321865b-1,
6.596000657770386b0-2.221483864746304b0*%i,
-3.065489086838055b-1*%i-7.53920321405149b0,
4.687988068497475b0-4.559008535792265b0*%i,
5.348426531208064b0-4.05602989731104b0*%i,
7.462946535997422b0*%i+7.855918826818962b-1,
7.858665670791801b0*%i+3.982166946101851b-1,
6.933709703979965b0*%i+3.610419313243313b0,
8.71227570833288b-1*%i+7.169951826949666b0,
5.71453677618054b0-3.694514200750508b0*%i,
-6.472121571205165b0*%i-4.636546468924086b0,
6.081194507324833b0*%i-5.461979937502644b0,
7.829263900188266b0*%i-5.80040315539338b-1,
3.743592841537056b0*%i-7.498611135853823b0,
-5.108232880114593b0*%i-4.850119947948882b0,
5.315016627202882b0*%i-6.160610883217914b0,
-6.333268206235079b0*%i-5.527913822992504b-1,
7.843828225314951b0*%i+1.095995015039382b-1,
1.849755389637636b0*%i+7.197974945084063b0,
1.607612286377235b0*%i+7.209273903112579b0,
4.440129415001812b0*%i+5.745479940797843b0,
-8.164907659927298b-1*%i-7.635663898643814b0,
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4.469491002111107b0*%i+6.229457551766216b0,
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5.942217083812801b0*%i-5.56440911849391b0,
6.181968663095244b-1-7.342619121600626b0*%i,
4.715740535165628b0*%i+6.035479867194599b0,
1.513442135557287b0*%i-7.80339342167932b0,
-7.780601454335324b0*%i-1.720567204310109b0,
7.161030436320702b0*%i-4.203265947427865b0,
6.798851614417575b0-1.099092874623808b0*%i,
6.5142701617943b0*%i+4.321516223502213b0,
-4.210483697507828b0*%i-6.884170159489716b0,
4.431757495419125b0*%i-6.767085996891252b0,
-7.551687005124979b0*%i-2.819290919254407b0,
3.112608440302257b0-6.011384348300515b0*%i,
6.854493899949075b0*%i-4.663163125766598b0,
-3.08718492396184b0*%i-7.233995556480706b0,
9.703969438929669b-1*%i-7.938100349345349b0,
6.678369704042649b-1*%i-7.898462700932256b0,
4.925159701713882b0-4.394650744374825b0*%i,
2.611954222370451b0-6.373428561208113b0*%i,
7.301953318602926b0*%i+2.851405542695206b0,
2.851531442016096b0*%i+7.005653683584718b0,
6.856818331024184b0-7.892966194814786b-1*%i,
6.946267826346798b0-5.527105547994942b-1*%i,
6.960966596849271b0-2.7058950725209b-1*%i,
6.675163981821001b0-1.460038127284113b0*%i,
7.634252946919326b0*%i-2.884986680801797b0,
7.759333475846123b0*%i-2.355890133203678b0,
2.394100033082658b-3*%i+7.033981828264389b0,
1.319239722480029b0-6.987433348784761b0*%i,
6.707943215804968b0*%i-4.938782230155867b0,
6.66196596433217b0-1.986133200215378b0*%i,
6.412894295413247b0-2.673925222798373b0*%i,
-5.991628641555011b0*%i-5.440196942042371b0,
7.814887513795207b0*%i+9.717678833667407b-1,
1.513563003160068b0-6.920922195897429b0*%i,
7.779533574046788b0*%i+1.250536924167967b0,
7.85503032801581b0*%i-9.026143013765943b-1,
9.60090529236584b-1-6.726531595907038b0*%i,
1.892317882961836b0-6.766371102824563b0*%i,
2.350710783352257b0*%i+7.13835066467766b0,
2.097844759313759b0*%i+7.17622769177548b0,
6.030848634749759b0-3.306711748973084b0*%i,
2.922049892342919b0*%i-7.513661371818179b0,
2.161384574409171b0*%i-8.029747420932985b0,
4.439642967167754b0*%i-6.96346773546519b0,
7.647714771828143b0*%i+1.791913074720925b0,
7.852199353890896b0*%i-1.486893402790276b0,
-6.461276502281905b0*%i-3.914378291276477b0,
1.120343966721173b0*%i+7.202516647846825b0,
-4.349546906724708b0*%i-6.671473385879944b0,
-4.606385463100144b0*%i-6.723378470526068b0,
2.82562380597377b0*%i-7.889986706637411b0,
4.973204698797712b0*%i-6.594298768022977b0,
-2.405537331754814b0*%i-7.363705252882558b0,
-7.415488287144265b0*%i-3.384306012772068b0,
-7.037323374138007b0*%i-4.076838776796491b0,
-3.997326035497125b0*%i-6.867463879467649b0,
-3.549115994295377b0*%i-7.155725303814339b0,
6.350242590702905b0*%i+4.524353019246798b0,
1.317172347624279b-1*%i-7.847227004592502b0,
3.272775648313379b0-5.880466638639673b0*%i,
3.870658589349811b-1*%i-7.885581886630849b0,
5.14473689045735b0-4.227800471893025b0*%i,
5.537961362479795b0-3.878430799775136b0*%i,
6.170978455387381b0-3.102759184410754b0*%i,
6.125815746146847b-1*%i+7.098676787672684b0,
3.293364979011683b0*%i+6.816640754104961b0,
2.603680424994307b0*%i+7.081727577375599b0,
2.257939446337807b0-6.58334491834043b0*%i,
8.08087840741944b-1-7.197896103197091b0*%i,
1.580919607853631b-1-7.555660553790644b0*%i,
7.040322520136315b0*%i-4.439382058789479b0,
3.945564997522663b-1-7.457312579239904b0*%i,-
7.708785537924068b0*%i-3.645248916761647b-1,
4.978156621638523b0*%i+5.844339190187057b0,
-7.641916526306704b0*%i-9.452094649057828b-2,
3.750297363273441b0*%i+6.65590637728219b0]

-------------------------------------------
/* treat with caution - number of roots is to small !!!! */
polyroots(P(10),c);
[0,
6.945286546683477b-2*%i+3.568172484923102b-1,
3.296899051037992b-1-5.413745194802406b-2*%i,
9.9142322240237b-1*%i+4.119359526596792b-1,
9.914232224023622b-1*%i+4.119359526596901b-1,
1.617064197864684b0*%i+4.082301942968754b-2,
1.405892489997909b0*%i-8.808779593768729b-1,
1.405799781972034b0*%i-8.80120801690967b-1,
1.645889376608682b0*%i-1.036259928411294b0,
1.71878013735298b0*%i-1.062323006022312b0,
1.792364774823414b0*%i-2.261292815584601b0,
-9.28739748190005b-1*%i-2.744897329501735b0,
-1.483070465383858b0*%i-3.282229167173744b0,
-1.811845392349216b0*%i-3.517348563083931b0,
-2.566568998875626b0*%i-3.339178713380317b0,
2.316129813664425b-1-5.990558687006245b0*%i,
7.184272153612736b0*%i-1.662419440009488b0,
2.822374558355565b0-6.503334876075425b0*%i,
2.904804731684205b0-6.46160303482025b0*%i,
5.334739600915183b0*%i+4.504684420577475b0,
-4.241970735772827b-1*%i-9.182850858052553b0,
-6.03900732591382b-1*%i-9.490277366044184b0,
1.552961924468242b0*%i-1.266629588565688b1]

--------------------------------------------------
/* treat with caution - number of roots is to small !!!! */
polyroots(P(11),c);
[0,
3.184722666580302b-1-4.125736992216892b-2*%i,
4.125736992216968b-2*%i+3.184722666580299b-1,
3.452744267143612b-1-5.90733034174442b-1*%i,
3.452744267143633b-1-5.907330341744395b-1*%i,
1.266358671375049b0*%i-2.985731380878324b0,
1.524208183828811b0*%i-3.268657903521654b0,
1.964658009920256b0*%i-3.70605711238898b0,
2.503597723266719b0-4.042295052666893b0*%i,
1.390747764546553b1*%i-1.243935700179229b1,
1.632865640950582b1*%i-1.175177530805535b1,
1.303978296995728b1*%i-1.634888871760242b1,
-1.385001204191728b1*%i-1.965859098514855b1,
-1.298059864161974b1*%i-2.056371457467607b1]