Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.20 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.559437 | + | 1.29886i | −0.395582 | + | 0.918431i | ||||
\(3\) | 1.13894 | + | 1.30492i | 0.657568 | + | 0.753395i | ||||
\(4\) | −1.37406 | − | 1.45326i | −0.687030 | − | 0.726629i | ||||
\(5\) | 0.778418 | − | 2.09620i | 0.348119 | − | 0.937450i | ||||
\(6\) | −2.33207 | + | 0.749304i | −0.952063 | + | 0.305902i | ||||
\(7\) | 3.14870 | 1.19010 | 0.595049 | − | 0.803690i | \(-0.297133\pi\) | ||||
0.595049 | + | 0.803690i | \(0.297133\pi\) | |||||||
\(8\) | 2.65627 | − | 0.971702i | 0.939135 | − | 0.343549i | ||||
\(9\) | −0.405623 | + | 2.97245i | −0.135208 | + | 0.990817i | ||||
\(10\) | 2.28719 | + | 2.18375i | 0.723274 | + | 0.690562i | ||||
\(11\) | −1.76255 | − | 1.28057i | −0.531429 | − | 0.386106i | 0.289463 | − | 0.957189i | \(-0.406523\pi\) |
−0.820892 | + | 0.571083i | \(0.806523\pi\) | |||||||
\(12\) | 0.331407 | − | 3.44821i | 0.0956690 | − | 0.995413i | ||||
\(13\) | 2.63696 | + | 3.62946i | 0.731361 | + | 1.00663i | 0.999069 | + | 0.0431323i | \(0.0137337\pi\) |
−0.267708 | + | 0.963500i | \(0.586266\pi\) | |||||||
\(14\) | −1.76150 | + | 4.08971i | −0.470781 | + | 1.09302i | ||||
\(15\) | 3.62195 | − | 1.37168i | 0.935182 | − | 0.354166i | ||||
\(16\) | −0.223916 | + | 3.99373i | −0.0559789 | + | 0.998432i | ||||
\(17\) | 1.48600 | − | 4.57343i | 0.360407 | − | 1.10922i | −0.592400 | − | 0.805644i | \(-0.701819\pi\) |
0.952807 | − | 0.303576i | \(-0.0981806\pi\) | |||||||
\(18\) | −3.63387 | − | 2.18975i | −0.856512 | − | 0.516128i | ||||
\(19\) | 2.98189 | + | 0.968874i | 0.684092 | + | 0.222275i | 0.630386 | − | 0.776282i | \(-0.282897\pi\) |
0.0537059 | + | 0.998557i | \(0.482897\pi\) | |||||||
\(20\) | −4.11592 | + | 1.74907i | −0.920347 | + | 0.391103i | ||||
\(21\) | 3.58619 | + | 4.10880i | 0.782571 | + | 0.896613i | ||||
\(22\) | 2.64931 | − | 1.57291i | 0.564836 | − | 0.335345i | ||||
\(23\) | −4.21422 | + | 5.80038i | −0.878726 | + | 1.20946i | 0.0980458 | + | 0.995182i | \(0.468741\pi\) |
−0.976772 | + | 0.214281i | \(0.931259\pi\) | |||||||
\(24\) | 4.29333 | + | 2.35951i | 0.876373 | + | 0.481633i | ||||
\(25\) | −3.78813 | − | 3.26345i | −0.757626 | − | 0.652689i | ||||
\(26\) | −6.18937 | + | 1.39458i | −1.21384 | + | 0.273499i | ||||
\(27\) | −4.34079 | + | 2.85615i | −0.835385 | + | 0.549666i | ||||
\(28\) | −4.32651 | − | 4.57588i | −0.817633 | − | 0.864759i | ||||
\(29\) | 1.17852 | − | 0.382923i | 0.218845 | − | 0.0711070i | −0.197542 | − | 0.980294i | \(-0.563296\pi\) |
0.416387 | + | 0.909187i | \(0.363296\pi\) | |||||||
\(30\) | −0.244633 | + | 5.47176i | −0.0446637 | + | 0.999002i | ||||
\(31\) | −5.04721 | − | 1.63994i | −0.906506 | − | 0.294542i | −0.181587 | − | 0.983375i | \(-0.558123\pi\) |
−0.724920 | + | 0.688833i | \(0.758123\pi\) | |||||||
\(32\) | −5.06202 | − | 2.52507i | −0.894846 | − | 0.446374i | ||||
\(33\) | −0.336407 | − | 3.75848i | −0.0585609 | − | 0.654267i | ||||
\(34\) | 5.10891 | + | 4.48865i | 0.876171 | + | 0.769796i | ||||
\(35\) | 2.45101 | − | 6.60032i | 0.414296 | − | 1.11566i | ||||
\(36\) | 4.87709 | − | 3.49485i | 0.812848 | − | 0.582476i | ||||
\(37\) | −5.18020 | − | 7.12994i | −0.851620 | − | 1.17215i | −0.983503 | − | 0.180889i | \(-0.942102\pi\) |
0.131884 | − | 0.991265i | \(-0.457898\pi\) | |||||||
\(38\) | −2.92661 | + | 3.33102i | −0.474758 | + | 0.540363i | ||||
\(39\) | −1.73281 | + | 7.57477i | −0.277472 | + | 1.21293i | ||||
\(40\) | 0.0308082 | − | 6.32448i | 0.00487121 | − | 0.999988i | ||||
\(41\) | 3.03863 | + | 4.18232i | 0.474555 | + | 0.653169i | 0.977447 | − | 0.211180i | \(-0.0677307\pi\) |
−0.502892 | + | 0.864349i | \(0.667731\pi\) | |||||||
\(42\) | −7.34299 | + | 2.35933i | −1.13305 | + | 0.364053i | ||||
\(43\) | 0.651734 | 0.0993885 | 0.0496942 | − | 0.998764i | \(-0.484175\pi\) | ||||
0.0496942 | + | 0.998764i | \(0.484175\pi\) | |||||||
\(44\) | 0.560856 | + | 4.32102i | 0.0845523 | + | 0.651419i | ||||
\(45\) | 5.91512 | + | 3.16408i | 0.881774 | + | 0.471673i | ||||
\(46\) | −5.17627 | − | 8.71862i | −0.763200 | − | 1.28549i | ||||
\(47\) | −0.972428 | + | 0.315961i | −0.141843 | + | 0.0460877i | −0.379078 | − | 0.925365i | \(-0.623759\pi\) |
0.237235 | + | 0.971452i | \(0.423759\pi\) | |||||||
\(48\) | −5.46651 | + | 4.25643i | −0.789023 | + | 0.614363i | ||||
\(49\) | 2.91433 | 0.416332 | ||||||||
\(50\) | 6.35797 | − | 3.09455i | 0.899153 | − | 0.437635i | ||||
\(51\) | 7.66042 | − | 3.26977i | 1.07267 | − | 0.457859i | ||||
\(52\) | 1.65120 | − | 8.81929i | 0.228981 | − | 1.22301i | ||||
\(53\) | 0.802886 | + | 2.47103i | 0.110285 | + | 0.339422i | 0.990934 | − | 0.134346i | \(-0.0428935\pi\) |
−0.880650 | + | 0.473768i | \(0.842893\pi\) | |||||||
\(54\) | −1.28133 | − | 7.23590i | −0.174367 | − | 0.984681i | ||||
\(55\) | −4.05634 | + | 2.69785i | −0.546956 | + | 0.363778i | ||||
\(56\) | 8.36382 | − | 3.05960i | 1.11766 | − | 0.408856i | ||||
\(57\) | 2.13190 | + | 4.99461i | 0.282376 | + | 0.661552i | ||||
\(58\) | −0.161943 | + | 1.74495i | −0.0212642 | + | 0.229123i | ||||
\(59\) | −2.99418 | + | 2.17540i | −0.389809 | + | 0.283213i | −0.765377 | − | 0.643582i | \(-0.777448\pi\) |
0.375568 | + | 0.926795i | \(0.377448\pi\) | |||||||
\(60\) | −6.97018 | − | 3.37885i | −0.899846 | − | 0.436207i | ||||
\(61\) | 10.3472 | + | 7.51767i | 1.32482 | + | 0.962538i | 0.999859 | + | 0.0168114i | \(0.00535148\pi\) |
0.324962 | + | 0.945727i | \(0.394649\pi\) | |||||||
\(62\) | 4.95365 | − | 5.63817i | 0.629114 | − | 0.716048i | ||||
\(63\) | −1.27718 | + | 9.35937i | −0.160910 | + | 1.17917i | ||||
\(64\) | 6.11159 | − | 5.16222i | 0.763949 | − | 0.645277i | ||||
\(65\) | 9.66075 | − | 2.70236i | 1.19827 | − | 0.335187i | ||||
\(66\) | 5.06993 | + | 1.66569i | 0.624065 | + | 0.205032i | ||||
\(67\) | 3.32333 | − | 10.2281i | 0.406009 | − | 1.24957i | −0.514041 | − | 0.857766i | \(-0.671852\pi\) |
0.920050 | − | 0.391802i | \(-0.128148\pi\) | |||||||
\(68\) | −8.68822 | + | 4.12463i | −1.05360 | + | 0.500185i | ||||
\(69\) | −12.3688 | + | 1.10708i | −1.48903 | + | 0.133277i | ||||
\(70\) | 7.20169 | + | 6.87597i | 0.860766 | + | 0.821836i | ||||
\(71\) | −3.91937 | − | 12.0626i | −0.465144 | − | 1.43157i | −0.858802 | − | 0.512308i | \(-0.828790\pi\) |
0.393658 | − | 0.919257i | \(-0.371210\pi\) | |||||||
\(72\) | 1.81089 | + | 8.28979i | 0.213416 | + | 0.976961i | ||||
\(73\) | 6.85959 | − | 9.44142i | 0.802855 | − | 1.10503i | −0.189532 | − | 0.981875i | \(-0.560697\pi\) |
0.992387 | − | 0.123160i | \(-0.0393029\pi\) | |||||||
\(74\) | 12.1588 | − | 2.73959i | 1.41343 | − | 0.318471i | ||||
\(75\) | −0.0559307 | − | 8.66007i | −0.00645832 | − | 0.999979i | ||||
\(76\) | −2.68927 | − | 5.66474i | −0.308480 | − | 0.649790i | ||||
\(77\) | −5.54975 | − | 4.03213i | −0.632453 | − | 0.459504i | ||||
\(78\) | −8.86914 | − | 6.48828i | −1.00423 | − | 0.734653i | ||||
\(79\) | −10.8901 | + | 3.53841i | −1.22523 | + | 0.398103i | −0.848986 | − | 0.528416i | \(-0.822786\pi\) |
−0.376249 | + | 0.926519i | \(0.622786\pi\) | |||||||
\(80\) | 8.19736 | + | 3.57816i | 0.916493 | + | 0.400051i | ||||
\(81\) | −8.67094 | − | 2.41139i | −0.963438 | − | 0.267932i | ||||
\(82\) | −7.13216 | + | 1.60701i | −0.787616 | + | 0.177464i | ||||
\(83\) | −4.25869 | − | 1.38373i | −0.467451 | − | 0.151884i | 0.0658144 | − | 0.997832i | \(-0.479035\pi\) |
−0.533266 | + | 0.845948i | \(0.679035\pi\) | |||||||
\(84\) | 1.04350 | − | 10.8574i | 0.113855 | − | 1.18464i | ||||
\(85\) | −8.43011 | − | 6.67500i | −0.914374 | − | 0.724005i | ||||
\(86\) | −0.364604 | + | 0.846509i | −0.0393163 | + | 0.0912814i | ||||
\(87\) | 1.84194 | + | 1.10174i | 0.197477 | + | 0.118119i | ||||
\(88\) | −5.92615 | − | 1.68887i | −0.631730 | − | 0.180034i | ||||
\(89\) | −1.83218 | + | 2.52177i | −0.194210 | + | 0.267308i | −0.895006 | − | 0.446055i | \(-0.852829\pi\) |
0.700795 | + | 0.713362i | \(0.252829\pi\) | |||||||
\(90\) | −7.41882 | + | 5.91279i | −0.782012 | + | 0.623263i | ||||
\(91\) | 8.30300 | + | 11.4281i | 0.870391 | + | 1.19799i | ||||
\(92\) | 14.2200 | − | 1.84572i | 1.48254 | − | 0.192430i | ||||
\(93\) | −3.60850 | − | 8.45400i | −0.374184 | − | 0.876639i | ||||
\(94\) | 0.133624 | − | 1.43981i | 0.0137823 | − | 0.148505i | ||||
\(95\) | 4.35211 | − | 5.49645i | 0.446517 | − | 0.563924i | ||||
\(96\) | −2.47033 | − | 9.48143i | −0.252127 | − | 0.967694i | ||||
\(97\) | −3.13732 | + | 1.01938i | −0.318546 | + | 0.103502i | −0.463926 | − | 0.885874i | \(-0.653560\pi\) |
0.145380 | + | 0.989376i | \(0.453560\pi\) | |||||||
\(98\) | −1.63038 | + | 3.78529i | −0.164693 | + | 0.382372i | ||||
\(99\) | 4.52136 | − | 4.71967i | 0.454414 | − | 0.474345i | ||||
\(100\) | 0.462492 | + | 9.98930i | 0.0462492 | + | 0.998930i | ||||
\(101\) | − | 0.736578i | − | 0.0732922i | −0.999328 | − | 0.0366461i | \(-0.988333\pi\) | ||
0.999328 | − | 0.0366461i | \(-0.0116674\pi\) | |||||||
\(102\) | −0.0385608 | + | 11.7790i | −0.00381808 | + | 1.16630i | ||||
\(103\) | −2.07137 | − | 6.37502i | −0.204098 | − | 0.628150i | −0.999749 | − | 0.0223945i | \(-0.992871\pi\) |
0.795651 | − | 0.605755i | \(-0.207129\pi\) | |||||||
\(104\) | 10.5312 | + | 7.07851i | 1.03267 | + | 0.694105i | ||||
\(105\) | 11.4044 | − | 4.31901i | 1.11296 | − | 0.421493i | ||||
\(106\) | −3.65868 | − | 0.339551i | −0.355362 | − | 0.0329801i | ||||
\(107\) | 2.15398i | 0.208233i | 0.994565 | + | 0.104116i | \(0.0332014\pi\) | ||||
−0.994565 | + | 0.104116i | \(0.966799\pi\) | |||||||
\(108\) | 10.1152 | + | 2.38376i | 0.973337 | + | 0.229378i | ||||
\(109\) | −13.4159 | + | 9.74722i | −1.28501 | + | 0.933614i | −0.999692 | − | 0.0248185i | \(-0.992099\pi\) |
−0.285318 | + | 0.958433i | \(0.592099\pi\) | |||||||
\(110\) | −1.23485 | − | 6.77788i | −0.117739 | − | 0.646245i | ||||
\(111\) | 3.40403 | − | 14.8803i | 0.323097 | − | 1.41238i | ||||
\(112\) | −0.705044 | + | 12.5751i | −0.0666204 | + | 1.18823i | ||||
\(113\) | −12.7227 | + | 9.24356i | −1.19685 | + | 0.869561i | −0.993971 | − | 0.109643i | \(-0.965029\pi\) |
−0.202877 | + | 0.979204i | \(0.565029\pi\) | |||||||
\(114\) | −7.67995 | − | 0.0251417i | −0.719293 | − | 0.00235474i | ||||
\(115\) | 8.87834 | + | 13.3490i | 0.827910 | + | 1.24480i | ||||
\(116\) | −2.17584 | − | 1.18653i | −0.202022 | − | 0.110166i | ||||
\(117\) | −11.8580 | + | 6.36605i | −1.09627 | + | 0.588541i | ||||
\(118\) | −1.15048 | − | 5.10601i | −0.105910 | − | 0.470047i | ||||
\(119\) | 4.67896 | − | 14.4004i | 0.428920 | − | 1.32008i | ||||
\(120\) | 8.28802 | − | 7.16301i | 0.756589 | − | 0.653891i | ||||
\(121\) | −1.93245 | − | 5.94748i | −0.175678 | − | 0.540680i | ||||
\(122\) | −15.5530 | + | 9.23385i | −1.40810 | + | 0.835993i | ||||
\(123\) | −1.99676 | + | 8.72859i | −0.180042 | + | 0.787031i | ||||
\(124\) | 4.55192 | + | 9.58828i | 0.408775 | + | 0.861053i | ||||
\(125\) | −9.78959 | + | 5.40036i | −0.875608 | + | 0.483023i | ||||
\(126\) | −11.4420 | − | 6.89486i | −1.01933 | − | 0.614243i | ||||
\(127\) | −3.49604 | − | 2.54002i | −0.310223 | − | 0.225390i | 0.421769 | − | 0.906703i | \(-0.361409\pi\) |
−0.731992 | + | 0.681313i | \(0.761409\pi\) | |||||||
\(128\) | 3.28593 | + | 10.8260i | 0.290438 | + | 0.956894i | ||||
\(129\) | 0.742287 | + | 0.850459i | 0.0653547 | + | 0.0748788i | ||||
\(130\) | −1.89460 | + | 14.0597i | −0.166167 | + | 1.23312i | ||||
\(131\) | −1.63335 | + | 5.02693i | −0.142706 | + | 0.439205i | −0.996709 | − | 0.0810640i | \(-0.974168\pi\) |
0.854003 | + | 0.520269i | \(0.174168\pi\) | |||||||
\(132\) | −4.99980 | + | 5.65326i | −0.435176 | + | 0.492054i | ||||
\(133\) | 9.38907 | + | 3.05070i | 0.814136 | + | 0.264529i | ||||
\(134\) | 11.4257 | + | 10.0385i | 0.987031 | + | 0.867197i | ||||
\(135\) | 2.60811 | + | 11.3224i | 0.224471 | + | 0.974481i | ||||
\(136\) | −0.496795 | − | 13.5922i | −0.0425999 | − | 1.16552i | ||||
\(137\) | 8.06374 | − | 5.85865i | 0.688932 | − | 0.500538i | −0.187377 | − | 0.982288i | \(-0.559999\pi\) |
0.876309 | + | 0.481750i | \(0.159999\pi\) | |||||||
\(138\) | 5.48161 | − | 16.6846i | 0.466626 | − | 1.42029i | ||||
\(139\) | 3.77253 | − | 5.19245i | 0.319982 | − | 0.440417i | −0.618480 | − | 0.785801i | \(-0.712251\pi\) |
0.938462 | + | 0.345383i | \(0.112251\pi\) | |||||||
\(140\) | −12.9598 | + | 5.50729i | −1.09530 | + | 0.465451i | ||||
\(141\) | −1.51984 | − | 0.909078i | −0.127994 | − | 0.0765582i | ||||
\(142\) | 17.8602 | + | 1.65755i | 1.49880 | + | 0.139099i | ||||
\(143\) | − | 9.77393i | − | 0.817337i | ||||||
\(144\) | −11.7803 | − | 2.28552i | −0.981695 | − | 0.190460i | ||||
\(145\) | 0.114694 | − | 2.76848i | 0.00952485 | − | 0.229910i | ||||
\(146\) | 8.42555 | + | 14.1915i | 0.697303 | + | 1.17450i | ||||
\(147\) | 3.31925 | + | 3.80296i | 0.273767 | + | 0.313663i | ||||
\(148\) | −3.24372 | + | 17.3251i | −0.266632 | + | 1.42412i | ||||
\(149\) | − | 7.76880i | − | 0.636445i | −0.948016 | − | 0.318222i | \(-0.896914\pi\) | ||
0.948016 | − | 0.318222i | \(-0.103086\pi\) | |||||||
\(150\) | 11.2795 | + | 4.77212i | 0.920966 | + | 0.389642i | ||||
\(151\) | 5.58897i | 0.454824i | 0.973799 | + | 0.227412i | \(0.0730265\pi\) | ||||
−0.973799 | + | 0.227412i | \(0.926974\pi\) | |||||||
\(152\) | 8.86217 | − | 0.323912i | 0.718817 | − | 0.0262727i | ||||
\(153\) | 12.9915 | + | 6.27214i | 1.05030 | + | 0.507073i | ||||
\(154\) | 8.34190 | − | 4.95261i | 0.672209 | − | 0.399093i | ||||
\(155\) | −7.36649 | + | 9.30342i | −0.591691 | + | 0.747269i | ||||
\(156\) | 13.3891 | − | 7.88997i | 1.07198 | − | 0.631703i | ||||
\(157\) | 11.7964i | 0.941452i | 0.882279 | + | 0.470726i | \(0.156008\pi\) | ||||
−0.882279 | + | 0.470726i | \(0.843992\pi\) | |||||||
\(158\) | 1.49644 | − | 16.1242i | 0.119050 | − | 1.28277i | ||||
\(159\) | −2.31005 | + | 3.86206i | −0.183199 | + | 0.306281i | ||||
\(160\) | −9.23343 | + | 8.64545i | −0.729967 | + | 0.683483i | ||||
\(161\) | −13.2693 | + | 18.2637i | −1.04577 | + | 1.43938i | ||||
\(162\) | 7.98289 | − | 9.91330i | 0.627195 | − | 0.778862i | ||||
\(163\) | 16.2585 | − | 11.8125i | 1.27347 | − | 0.925228i | 0.274132 | − | 0.961692i | \(-0.411609\pi\) |
0.999335 | + | 0.0364641i | \(0.0116095\pi\) | |||||||
\(164\) | 1.90272 | − | 10.1627i | 0.148578 | − | 0.793572i | ||||
\(165\) | −8.14040 | − | 2.22049i | −0.633729 | − | 0.172865i | ||||
\(166\) | 4.17974 | − | 4.75731i | 0.324410 | − | 0.369239i | ||||
\(167\) | −10.8653 | − | 3.53036i | −0.840784 | − | 0.273187i | −0.143203 | − | 0.989693i | \(-0.545740\pi\) |
−0.697581 | + | 0.716506i | \(0.745740\pi\) | |||||||
\(168\) | 13.5184 | + | 7.42939i | 1.04297 | + | 0.573190i | ||||
\(169\) | −2.20223 | + | 6.77777i | −0.169402 | + | 0.521367i | ||||
\(170\) | 13.3860 | − | 7.21527i | 1.02666 | − | 0.553386i | ||||
\(171\) | −4.08945 | + | 8.47052i | −0.312728 | + | 0.647757i | ||||
\(172\) | −0.895522 | − | 0.947137i | −0.0682829 | − | 0.0722185i | ||||
\(173\) | 8.36246 | + | 6.07568i | 0.635786 | + | 0.461926i | 0.858400 | − | 0.512981i | \(-0.171459\pi\) |
−0.222614 | + | 0.974907i | \(0.571459\pi\) | |||||||
\(174\) | −2.46145 | + | 1.77607i | −0.186602 | + | 0.134643i | ||||
\(175\) | −11.9277 | − | 10.2756i | −0.901649 | − | 0.776764i | ||||
\(176\) | 5.50891 | − | 6.75241i | 0.415250 | − | 0.508982i | ||||
\(177\) | −6.24892 | − | 1.42951i | −0.469697 | − | 0.107448i | ||||
\(178\) | −2.25044 | − | 3.79051i | −0.168677 | − | 0.284111i | ||||
\(179\) | 5.35967 | + | 16.4954i | 0.400600 | + | 1.23292i | 0.924514 | + | 0.381149i | \(0.124472\pi\) |
−0.523913 | + | 0.851772i | \(0.675528\pi\) | |||||||
\(180\) | −3.52951 | − | 12.9438i | −0.263074 | − | 0.964776i | ||||
\(181\) | −1.65808 | + | 5.10304i | −0.123244 | + | 0.379306i | −0.993577 | − | 0.113158i | \(-0.963904\pi\) |
0.870333 | + | 0.492464i | \(0.163904\pi\) | |||||||
\(182\) | −19.4885 | + | 4.39111i | −1.44458 | + | 0.325491i | ||||
\(183\) | 1.97490 | + | 22.0644i | 0.145989 | + | 1.63105i | ||||
\(184\) | −5.55789 | + | 19.5024i | −0.409733 | + | 1.43773i | ||||
\(185\) | −18.9782 | + | 5.30868i | −1.39530 | + | 0.390302i | ||||
\(186\) | 12.9993 | + | 0.0425554i | 0.953152 | + | 0.00312032i | ||||
\(187\) | −8.47574 | + | 6.15799i | −0.619808 | + | 0.450317i | ||||
\(188\) | 1.79535 | + | 0.979039i | 0.130939 | + | 0.0714038i | ||||
\(189\) | −13.6678 | + | 8.99315i | −0.994189 | + | 0.654156i | ||||
\(190\) | 4.70437 | + | 8.72769i | 0.341291 | + | 0.633173i | ||||
\(191\) | −17.5836 | + | 12.7752i | −1.27230 | + | 0.924382i | −0.999292 | − | 0.0376288i | \(-0.988020\pi\) |
−0.273011 | + | 0.962011i | \(0.588020\pi\) | |||||||
\(192\) | 13.6970 | + | 2.09566i | 0.988497 | + | 0.151241i | ||||
\(193\) | − | 4.54215i | − | 0.326951i | −0.986547 | − | 0.163476i | \(-0.947730\pi\) | ||
0.986547 | − | 0.163476i | \(-0.0522705\pi\) | |||||||
\(194\) | 0.431107 | − | 4.64520i | 0.0309517 | − | 0.333506i | ||||
\(195\) | 14.5294 | + | 9.52866i | 1.04047 | + | 0.682361i | ||||
\(196\) | −4.00446 | − | 4.23527i | −0.286033 | − | 0.302519i | ||||
\(197\) | −6.54918 | − | 20.1563i | −0.466610 | − | 1.43608i | −0.856947 | − | 0.515405i | \(-0.827641\pi\) |
0.390337 | − | 0.920672i | \(-0.372359\pi\) | |||||||
\(198\) | 3.60077 | + | 8.51296i | 0.255895 | + | 0.604990i | ||||
\(199\) | − | 13.2061i | − | 0.936152i | −0.883688 | − | 0.468076i | \(-0.844947\pi\) | ||
0.883688 | − | 0.468076i | \(-0.155053\pi\) | |||||||
\(200\) | −13.2334 | − | 4.98767i | −0.935743 | − | 0.352682i | ||||
\(201\) | 17.1320 | − | 7.31260i | 1.20840 | − | 0.515791i | ||||
\(202\) | 0.956709 | + | 0.412069i | 0.0673138 | + | 0.0289931i | ||||
\(203\) | 3.71080 | − | 1.20571i | 0.260447 | − | 0.0846243i | ||||
\(204\) | −15.2777 | − | 6.63970i | −1.06965 | − | 0.464872i | ||||
\(205\) | 11.1323 | − | 3.11400i | 0.777515 | − | 0.217491i | ||||
\(206\) | 9.43905 | + | 0.876009i | 0.657650 | + | 0.0610345i | ||||
\(207\) | −15.5320 | − | 14.8793i | −1.07955 | − | 1.03419i | ||||
\(208\) | −15.0855 | + | 9.71861i | −1.04599 | + | 0.673864i | ||||
\(209\) | −4.01502 | − | 5.52620i | −0.277725 | − | 0.382255i | ||||
\(210\) | −0.770277 | + | 17.2289i | −0.0531542 | + | 1.18891i | ||||
\(211\) | −4.11230 | + | 5.66009i | −0.283102 | + | 0.389657i | −0.926758 | − | 0.375658i | \(-0.877417\pi\) |
0.643656 | + | 0.765315i | \(0.277417\pi\) | |||||||
\(212\) | 2.48783 | − | 4.56214i | 0.170865 | − | 0.313329i | ||||
\(213\) | 11.2767 | − | 18.8530i | 0.772670 | − | 1.29179i | ||||
\(214\) | −2.79771 | − | 1.20501i | −0.191247 | − | 0.0823731i | ||||
\(215\) | 0.507322 | − | 1.36617i | 0.0345990 | − | 0.0931717i | ||||
\(216\) | −8.75500 | + | 11.8047i | −0.595702 | + | 0.803205i | ||||
\(217\) | −15.8922 | − | 5.16368i | −1.07883 | − | 0.350533i | ||||
\(218\) | −5.15490 | − | 22.8783i | −0.349134 | − | 1.54951i | ||||
\(219\) | 20.1330 | − | 1.80202i | 1.36046 | − | 0.121769i | ||||
\(220\) | 9.49432 | + | 2.18789i | 0.640107 | + | 0.147508i | ||||
\(221\) | 20.5176 | − | 6.66658i | 1.38016 | − | 0.448443i | ||||
\(222\) | 17.4231 | + | 12.7460i | 1.16936 | + | 0.855453i | ||||
\(223\) | 3.65405 | + | 2.65482i | 0.244693 | + | 0.177780i | 0.703372 | − | 0.710822i | \(-0.251677\pi\) |
−0.458678 | + | 0.888602i | \(0.651677\pi\) | |||||||
\(224\) | −15.9388 | − | 7.95070i | −1.06495 | − | 0.531229i | ||||
\(225\) | 11.2370 | − | 9.93631i | 0.749132 | − | 0.662420i | ||||
\(226\) | −4.88853 | − | 21.6961i | −0.325180 | − | 1.44320i | ||||
\(227\) | 9.30073 | − | 12.8014i | 0.617311 | − | 0.849656i | −0.379842 | − | 0.925051i | \(-0.624022\pi\) |
0.997154 | + | 0.0753949i | \(0.0240217\pi\) | |||||||
\(228\) | 4.32910 | − | 9.96109i | 0.286702 | − | 0.659689i | ||||
\(229\) | 5.40156 | + | 16.6243i | 0.356945 | + | 1.09856i | 0.954873 | + | 0.297014i | \(0.0959909\pi\) |
−0.597928 | + | 0.801550i | \(0.704009\pi\) | |||||||
\(230\) | −22.3053 | + | 4.06378i | −1.47077 | + | 0.267958i | ||||
\(231\) | −1.05924 | − | 11.8343i | −0.0696932 | − | 0.778642i | ||||
\(232\) | 2.75837 | − | 2.16232i | 0.181096 | − | 0.141963i | ||||
\(233\) | 0.673758 | − | 2.07361i | 0.0441393 | − | 0.135847i | −0.926558 | − | 0.376151i | \(-0.877247\pi\) |
0.970698 | + | 0.240304i | \(0.0772473\pi\) | |||||||
\(234\) | −1.63477 | − | 18.9633i | −0.106868 | − | 1.23967i | ||||
\(235\) | −0.0946377 | + | 2.28436i | −0.00617348 | + | 0.149015i | ||||
\(236\) | 7.27560 | + | 1.36219i | 0.473601 | + | 0.0886707i | ||||
\(237\) | −17.0206 | − | 10.1807i | −1.10560 | − | 0.661305i | ||||
\(238\) | 16.0864 | + | 14.1334i | 1.04273 | + | 0.916133i | ||||
\(239\) | 15.5633 | + | 11.3074i | 1.00671 | + | 0.731416i | 0.963516 | − | 0.267651i | \(-0.0862473\pi\) |
0.0431918 | + | 0.999067i | \(0.486247\pi\) | |||||||
\(240\) | 4.66711 | + | 14.7722i | 0.301261 | + | 0.953542i | ||||
\(241\) | −13.6390 | + | 9.90929i | −0.878563 | + | 0.638313i | −0.932871 | − | 0.360211i | \(-0.882705\pi\) |
0.0543080 | + | 0.998524i | \(0.482705\pi\) | |||||||
\(242\) | 8.80602 | + | 0.817259i | 0.566072 | + | 0.0525354i | ||||
\(243\) | −6.72904 | − | 14.0613i | −0.431668 | − | 0.902033i | ||||
\(244\) | −3.29254 | − | 25.3668i | −0.210784 | − | 1.62395i | ||||
\(245\) | 2.26857 | − | 6.10902i | 0.144933 | − | 0.390291i | ||||
\(246\) | −10.2201 | − | 7.47660i | −0.651612 | − | 0.476691i | ||||
\(247\) | 4.34662 | + | 13.3775i | 0.276569 | + | 0.851192i | ||||
\(248\) | −15.0003 | + | 0.548261i | −0.952521 | + | 0.0348146i | ||||
\(249\) | −3.04474 | − | 7.13323i | −0.192953 | − | 0.452050i | ||||
\(250\) | −1.53764 | − | 15.7364i | −0.0972487 | − | 0.995260i | ||||
\(251\) | 11.6721 | 0.736734 | 0.368367 | − | 0.929680i | \(-0.379917\pi\) | ||||
0.368367 | + | 0.929680i | \(0.379917\pi\) | |||||||
\(252\) | 15.3565 | − | 11.0043i | 0.967369 | − | 0.693203i | ||||
\(253\) | 14.8556 | − | 4.82687i | 0.933962 | − | 0.303463i | ||||
\(254\) | 5.25493 | − | 3.11987i | 0.329724 | − | 0.195758i | ||||
\(255\) | −0.891083 | − | 18.6030i | −0.0558018 | − | 1.16497i | ||||
\(256\) | −15.8997 | − | 1.78852i | −0.993733 | − | 0.111782i | ||||
\(257\) | 20.2519 | 1.26328 | 0.631639 | − | 0.775262i | \(-0.282382\pi\) | ||||
0.631639 | + | 0.775262i | \(0.282382\pi\) | |||||||
\(258\) | −1.51989 | + | 0.488346i | −0.0946241 | + | 0.0304031i | ||||
\(259\) | −16.3109 | − | 22.4500i | −1.01351 | − | 1.39498i | ||||
\(260\) | −17.2017 | − | 10.3264i | −1.06680 | − | 0.640413i | ||||
\(261\) | 0.660188 | + | 3.65840i | 0.0408646 | + | 0.226450i | ||||
\(262\) | −5.61551 | − | 4.93373i | −0.346927 | − | 0.304807i | ||||
\(263\) | −5.07241 | − | 6.98157i | −0.312778 | − | 0.430502i | 0.623467 | − | 0.781850i | \(-0.285724\pi\) |
−0.936245 | + | 0.351348i | \(0.885724\pi\) | |||||||
\(264\) | −4.54571 | − | 9.65667i | −0.279769 | − | 0.594327i | ||||
\(265\) | 5.80476 | + | 0.240483i | 0.356583 | + | 0.0147727i | ||||
\(266\) | −9.21501 | + | 10.4884i | −0.565009 | + | 0.643085i | ||||
\(267\) | −5.37745 | + | 0.481315i | −0.329095 | + | 0.0294560i | ||||
\(268\) | −19.4306 | + | 9.22444i | −1.18691 | + | 0.563473i | ||||
\(269\) | 23.6312 | + | 7.67824i | 1.44082 | + | 0.468150i | 0.922153 | − | 0.386826i | \(-0.126429\pi\) |
0.518666 | + | 0.854977i | \(0.326429\pi\) | |||||||
\(270\) | −16.1653 | − | 2.94663i | −0.983790 | − | 0.179326i | ||||
\(271\) | −23.5753 | + | 7.66008i | −1.43210 | + | 0.465316i | −0.919424 | − | 0.393268i | \(-0.871345\pi\) |
−0.512673 | + | 0.858584i | \(0.671345\pi\) | |||||||
\(272\) | 17.9323 | + | 6.95873i | 1.08731 | + | 0.421935i | ||||
\(273\) | −5.45610 | + | 23.8507i | −0.330218 | + | 1.44351i | ||||
\(274\) | 3.09840 | + | 13.7512i | 0.187181 | + | 0.830740i | ||||
\(275\) | 2.49771 | + | 10.6030i | 0.150617 | + | 0.639382i | ||||
\(276\) | 18.6043 | + | 16.4538i | 1.11985 | + | 0.990404i | ||||
\(277\) | 2.68838 | − | 3.70024i | 0.161529 | − | 0.222326i | −0.720579 | − | 0.693373i | \(-0.756124\pi\) |
0.882108 | + | 0.471047i | \(0.156124\pi\) | |||||||
\(278\) | 4.63375 | + | 7.80483i | 0.277914 | + | 0.468102i | ||||
\(279\) | 6.92190 | − | 14.3374i | 0.414404 | − | 0.858358i | ||||
\(280\) | 0.0970060 | − | 19.9139i | 0.00579722 | − | 1.19008i | ||||
\(281\) | −9.45731 | − | 3.07287i | −0.564176 | − | 0.183312i | 0.0130233 | − | 0.999915i | \(-0.495854\pi\) |
−0.577199 | + | 0.816603i | \(0.695854\pi\) | |||||||
\(282\) | 2.03102 | − | 1.46549i | 0.120945 | − | 0.0872685i | ||||
\(283\) | 0.948172 | − | 2.91817i | 0.0563630 | − | 0.173467i | −0.918912 | − | 0.394463i | \(-0.870931\pi\) |
0.975275 | + | 0.220996i | \(0.0709306\pi\) | |||||||
\(284\) | −12.1446 | + | 22.2706i | −0.720649 | + | 1.32152i | ||||
\(285\) | 12.1292 | − | 0.580988i | 0.718473 | − | 0.0344148i | ||||
\(286\) | 12.6949 | + | 5.46790i | 0.750668 | + | 0.323324i | ||||
\(287\) | 9.56776 | + | 13.1689i | 0.564767 | + | 0.777335i | ||||
\(288\) | 9.55893 | − | 14.0224i | 0.563265 | − | 0.826276i | ||||
\(289\) | −4.95479 | − | 3.59987i | −0.291458 | − | 0.211757i | ||||
\(290\) | 3.53170 | + | 1.69776i | 0.207389 | + | 0.0996961i | ||||
\(291\) | −4.90342 | − | 2.93293i | −0.287444 | − | 0.171931i | ||||
\(292\) | −23.1463 | + | 3.00433i | −1.35454 | + | 0.175815i | ||||
\(293\) | 2.31737 | 0.135382 | 0.0676912 | − | 0.997706i | \(-0.478437\pi\) | ||||
0.0676912 | + | 0.997706i | \(0.478437\pi\) | |||||||
\(294\) | −6.79641 | + | 2.18372i | −0.396375 | + | 0.127357i | ||||
\(295\) | 2.22935 | + | 7.96978i | 0.129798 | + | 0.464019i | ||||
\(296\) | −20.6882 | − | 13.9055i | −1.20248 | − | 0.808238i | ||||
\(297\) | 11.3084 | + | 0.524571i | 0.656177 | + | 0.0304387i | ||||
\(298\) | 10.0906 | + | 4.34615i | 0.584530 | + | 0.251766i | ||||
\(299\) | −32.1650 | −1.86015 | ||||||||
\(300\) | −12.5085 | + | 11.9807i | −0.722177 | + | 0.691709i | ||||
\(301\) | 2.05212 | 0.118282 | ||||||||
\(302\) | −7.25928 | − | 3.12668i | −0.417725 | − | 0.179920i | ||||
\(303\) | 0.961174 | − | 0.838919i | 0.0552180 | − | 0.0481947i | ||||
\(304\) | −4.53711 | + | 11.6919i | −0.260221 | + | 0.670576i | ||||
\(305\) | 23.8130 | − | 15.8379i | 1.36353 | − | 0.906875i | ||||
\(306\) | −15.4146 | + | 13.3653i | −0.881192 | + | 0.764043i | ||||
\(307\) | 28.8797 | 1.64825 | 0.824126 | − | 0.566407i | \(-0.191667\pi\) | ||||
0.824126 | + | 0.566407i | \(0.191667\pi\) | |||||||
\(308\) | 1.76597 | + | 13.6056i | 0.100625 | + | 0.775252i | ||||
\(309\) | 5.95971 | − | 9.96375i | 0.339036 | − | 0.566818i | ||||
\(310\) | −7.96273 | − | 14.7727i | −0.452253 | − | 0.839033i | ||||
\(311\) | 18.7272 | + | 13.6061i | 1.06192 | + | 0.771533i | 0.974443 | − | 0.224633i | \(-0.0721183\pi\) |
0.0874808 | + | 0.996166i | \(0.472118\pi\) | |||||||
\(312\) | 2.75760 | + | 21.8044i | 0.156118 | + | 1.23443i | ||||
\(313\) | 3.63733 | + | 5.00635i | 0.205594 | + | 0.282976i | 0.899346 | − | 0.437239i | \(-0.144043\pi\) |
−0.693752 | + | 0.720214i | \(0.744043\pi\) | |||||||
\(314\) | −15.3218 | − | 6.59932i | −0.864659 | − | 0.372421i | ||||
\(315\) | 18.6249 | + | 9.96274i | 1.04940 | + | 0.561337i | ||||
\(316\) | 20.1059 | + | 10.9642i | 1.13105 | + | 0.616782i | ||||
\(317\) | −9.58331 | + | 29.4944i | −0.538252 | + | 1.65657i | 0.198263 | + | 0.980149i | \(0.436470\pi\) |
−0.736515 | + | 0.676421i | \(0.763530\pi\) | |||||||
\(318\) | −3.72393 | − | 5.16100i | −0.208828 | − | 0.289415i | ||||
\(319\) | −2.56756 | − | 0.834249i | −0.143756 | − | 0.0467090i | ||||
\(320\) | −6.06368 | − | 16.8295i | −0.338970 | − | 0.940797i | ||||
\(321\) | −2.81076 | + | 2.45325i | −0.156881 | + | 0.136927i | ||||
\(322\) | −16.2985 | − | 27.4523i | −0.908282 | − | 1.52986i | ||||
\(323\) | 8.86216 | − | 12.1977i | 0.493104 | − | 0.678699i | ||||
\(324\) | 8.41003 | + | 15.9145i | 0.467224 | + | 0.884139i | ||||
\(325\) | 1.85541 | − | 22.3545i | 0.102920 | − | 1.24000i | ||||
\(326\) | 6.24715 | + | 27.7259i | 0.345998 | + | 1.53559i | ||||
\(327\) | −27.9993 | − | 6.40513i | −1.54836 | − | 0.354204i | ||||
\(328\) | 12.1354 | + | 8.15675i | 0.670067 | + | 0.450381i | ||||
\(329\) | −3.06189 | + | 0.994867i | −0.168807 | + | 0.0548488i | ||||
\(330\) | 7.43815 | − | 9.33099i | 0.409456 | − | 0.513654i | ||||
\(331\) | 12.3747 | + | 4.02077i | 0.680173 | + | 0.221002i | 0.628671 | − | 0.777671i | \(-0.283599\pi\) |
0.0515019 | + | 0.998673i | \(0.483599\pi\) | |||||||
\(332\) | 3.84077 | + | 8.09030i | 0.210790 | + | 0.444013i | ||||
\(333\) | 23.2946 | − | 12.5058i | 1.27654 | − | 0.685316i | ||||
\(334\) | 10.6639 | − | 12.1375i | 0.583502 | − | 0.664134i | ||||
\(335\) | −18.8533 | − | 14.9281i | −1.03007 | − | 0.815612i | ||||
\(336\) | −17.2124 | + | 13.4022i | −0.939015 | + | 0.731152i | ||||
\(337\) | 13.4721 | + | 18.5428i | 0.733872 | + | 1.01009i | 0.998948 | + | 0.0458606i | \(0.0146030\pi\) |
−0.265076 | + | 0.964228i | \(0.585397\pi\) | |||||||
\(338\) | −7.57135 | − | 6.65212i | −0.411827 | − | 0.361828i | ||||
\(339\) | −26.5525 | − | 6.07416i | −1.44213 | − | 0.329903i | ||||
\(340\) | 1.88299 | + | 21.4230i | 0.102120 | + | 1.16182i | ||||
\(341\) | 6.79592 | + | 9.35379i | 0.368020 | + | 0.506536i | ||||
\(342\) | −8.71420 | − | 10.0503i | −0.471210 | − | 0.543460i | ||||
\(343\) | −12.8646 | −0.694621 | ||||||||
\(344\) | 1.73118 | − | 0.633291i | 0.0933392 | − | 0.0341448i | ||||
\(345\) | −7.30742 | + | 26.7892i | −0.393418 | + | 1.44228i | ||||
\(346\) | −12.5697 | + | 7.46268i | −0.675752 | + | 0.401196i | ||||
\(347\) | 27.6581 | − | 8.98666i | 1.48477 | − | 0.482429i | 0.549232 | − | 0.835670i | \(-0.314920\pi\) |
0.935533 | + | 0.353240i | \(0.114920\pi\) | |||||||
\(348\) | −0.929832 | − | 4.19068i | −0.0498442 | − | 0.224644i | ||||
\(349\) | 5.92600 | 0.317212 | 0.158606 | − | 0.987342i | \(-0.449300\pi\) | ||||
0.158606 | + | 0.987342i | \(0.449300\pi\) | |||||||
\(350\) | 20.0194 | − | 9.74381i | 1.07008 | − | 0.520828i | ||||
\(351\) | −21.8128 | − | 8.22319i | −1.16428 | − | 0.438921i | ||||
\(352\) | 5.68854 | + | 10.9328i | 0.303200 | + | 0.582722i | ||||
\(353\) | −2.48576 | − | 7.65037i | −0.132303 | − | 0.407188i | 0.862857 | − | 0.505447i | \(-0.168673\pi\) |
−0.995161 | + | 0.0982593i | \(0.968673\pi\) | |||||||
\(354\) | 5.35260 | − | 7.31673i | 0.284487 | − | 0.388880i | ||||
\(355\) | −28.3365 | − | 1.17394i | −1.50395 | − | 0.0623064i | ||||
\(356\) | 6.18231 | − | 0.802446i | 0.327662 | − | 0.0425296i | ||||
\(357\) | 24.1204 | − | 10.2955i | 1.27659 | − | 0.544897i | ||||
\(358\) | −24.4235 | − | 2.26667i | −1.29082 | − | 0.119797i | ||||
\(359\) | 1.50430 | − | 1.09294i | 0.0793940 | − | 0.0576831i | −0.547380 | − | 0.836884i | \(-0.684375\pi\) |
0.626774 | + | 0.779201i | \(0.284375\pi\) | |||||||
\(360\) | 18.7867 | + | 2.65693i | 0.990147 | + | 0.140032i | ||||
\(361\) | −7.41839 | − | 5.38978i | −0.390442 | − | 0.283672i | ||||
\(362\) | −5.70053 | − | 5.00844i | −0.299613 | − | 0.263238i | ||||
\(363\) | 5.56002 | − | 9.29553i | 0.291826 | − | 0.487889i | ||||
\(364\) | 5.19915 | − | 27.7693i | 0.272510 | − | 1.45551i | ||||
\(365\) | −14.4515 | − | 21.7285i | −0.756426 | − | 1.13732i | ||||
\(366\) | −29.7633 | − | 9.77853i | −1.55576 | − | 0.511132i | ||||
\(367\) | 0.121948 | − | 0.375316i | 0.00636561 | − | 0.0195913i | −0.947823 | − | 0.318796i | \(-0.896721\pi\) |
0.954189 | + | 0.299205i | \(0.0967214\pi\) | |||||||
\(368\) | −22.2215 | − | 18.1293i | −1.15838 | − | 0.945053i | ||||
\(369\) | −13.6643 | + | 7.33575i | −0.711335 | + | 0.381884i | ||||
\(370\) | 3.72187 | − | 27.6198i | 0.193491 | − | 1.43588i | ||||
\(371\) | 2.52805 | + | 7.78053i | 0.131250 | + | 0.403945i | ||||
\(372\) | −7.32754 | + | 16.8604i | −0.379915 | + | 0.874170i | ||||
\(373\) | −11.2377 | + | 15.4674i | −0.581868 | + | 0.800872i | −0.993899 | − | 0.110297i | \(-0.964820\pi\) |
0.412031 | + | 0.911170i | \(0.364820\pi\) | |||||||
\(374\) | −3.25670 | − | 14.4538i | −0.168400 | − | 0.747388i | ||||
\(375\) | −18.1968 | − | 6.62392i | −0.939679 | − | 0.342058i | ||||
\(376\) | −2.27602 | + | 1.78419i | −0.117377 | + | 0.0920126i | ||||
\(377\) | 4.49751 | + | 3.26763i | 0.231633 | + | 0.168291i | ||||
\(378\) | −4.03452 | − | 22.7837i | −0.207514 | − | 1.17187i | ||||
\(379\) | 3.28955 | − | 1.06884i | 0.168973 | − | 0.0549027i | −0.223309 | − | 0.974748i | \(-0.571686\pi\) |
0.392282 | + | 0.919845i | \(0.371686\pi\) | |||||||
\(380\) | −13.9678 | + | 1.22771i | −0.716534 | + | 0.0629804i | ||||
\(381\) | −0.667265 | − | 7.45497i | −0.0341850 | − | 0.381930i | ||||
\(382\) | −6.75628 | − | 29.9855i | −0.345681 | − | 1.53419i | ||||
\(383\) | 18.3405 | + | 5.95919i | 0.937156 | + | 0.304500i | 0.737486 | − | 0.675363i | \(-0.236013\pi\) |
0.199670 | + | 0.979863i | \(0.436013\pi\) | |||||||
\(384\) | −10.3846 | + | 16.6181i | −0.529936 | + | 0.848038i | ||||
\(385\) | −12.7722 | + | 8.49472i | −0.650931 | + | 0.432931i | ||||
\(386\) | 5.89961 | + | 2.54105i | 0.300282 | + | 0.129336i | ||||
\(387\) | −0.264358 | + | 1.93725i | −0.0134381 | + | 0.0984758i | ||||
\(388\) | 5.79228 | + | 3.15865i | 0.294058 | + | 0.160356i | ||||
\(389\) | 9.43895 | − | 12.9916i | 0.478574 | − | 0.658700i | −0.499656 | − | 0.866224i | \(-0.666540\pi\) |
0.978230 | + | 0.207524i | \(0.0665404\pi\) | |||||||
\(390\) | −20.5046 | + | 13.5409i | −1.03829 | + | 0.685671i | ||||
\(391\) | 20.2653 | + | 27.8928i | 1.02486 | + | 1.41060i | ||||
\(392\) | 7.74125 | − | 2.83186i | 0.390992 | − | 0.143030i | ||||
\(393\) | −8.42002 | + | 3.59399i | −0.424734 | + | 0.181293i | ||||
\(394\) | 29.8440 | + | 2.76973i | 1.50352 | + | 0.139537i | ||||
\(395\) | −1.05984 | + | 25.5823i | −0.0533262 | + | 1.28718i | ||||
\(396\) | −13.0715 | − | 0.0855849i | −0.656869 | − | 0.00430081i | ||||
\(397\) | −0.716276 | + | 0.232732i | −0.0359489 | + | 0.0116805i | −0.326936 | − | 0.945046i | \(-0.606016\pi\) |
0.290987 | + | 0.956727i | \(0.406016\pi\) | |||||||
\(398\) | 17.1528 | + | 7.38795i | 0.859791 | + | 0.370325i | ||||
\(399\) | 6.71270 | + | 15.7265i | 0.336056 | + | 0.787312i | ||||
\(400\) | 13.8815 | − | 14.3980i | 0.694077 | − | 0.719901i | ||||
\(401\) | − | 8.21552i | − | 0.410264i | −0.978734 | − | 0.205132i | \(-0.934238\pi\) | ||
0.978734 | − | 0.205132i | \(-0.0657623\pi\) | |||||||
\(402\) | −0.0862384 | + | 26.3429i | −0.00430118 | + | 1.31387i | ||||
\(403\) | −7.35720 | − | 22.6431i | −0.366488 | − | 1.12794i | ||||
\(404\) | −1.07044 | + | 1.01210i | −0.0532562 | + | 0.0503540i | ||||
\(405\) | −11.8044 | + | 16.2990i | −0.586564 | + | 0.809903i | ||||
\(406\) | −0.509910 | + | 5.49431i | −0.0253064 | + | 0.272678i | ||||
\(407\) | 19.2005i | 0.951733i | ||||||||
\(408\) | 17.1709 | − | 16.1290i | 0.850088 | − | 0.798507i | ||||
\(409\) | 26.4187 | − | 19.1943i | 1.30632 | − | 0.949096i | 0.306323 | − | 0.951928i | \(-0.400901\pi\) |
0.999996 | + | 0.00283185i | \(0.000901408\pi\) | |||||||
\(410\) | −2.18320 | + | 16.2014i | −0.107820 | + | 0.800129i | ||||
\(411\) | 16.8292 | + | 3.84986i | 0.830123 | + | 0.189900i | ||||
\(412\) | −6.41836 | + | 11.7699i | −0.316210 | + | 0.579862i | ||||
\(413\) | −9.42778 | + | 6.84969i | −0.463911 | + | 0.337051i | ||||
\(414\) | 28.0153 | − | 11.8498i | 1.37688 | − | 0.582384i | ||||
\(415\) | −6.21562 | + | 7.84995i | −0.305113 | + | 0.385339i | ||||
\(416\) | −4.18367 | − | 25.0309i | −0.205121 | − | 1.22724i | ||||
\(417\) | 11.0724 | − | 0.991048i | 0.542218 | − | 0.0485318i | ||||
\(418\) | 9.42390 | − | 2.12338i | 0.460938 | − | 0.103858i | ||||
\(419\) | 0.230406 | − | 0.709116i | 0.0112561 | − | 0.0346426i | −0.945271 | − | 0.326287i | \(-0.894202\pi\) |
0.956527 | + | 0.291644i | \(0.0942024\pi\) | |||||||
\(420\) | −21.9470 | − | 10.6390i | −1.07090 | − | 0.519129i | ||||
\(421\) | 4.36803 | + | 13.4434i | 0.212885 | + | 0.655192i | 0.999297 | + | 0.0374897i | \(0.0119362\pi\) |
−0.786412 | + | 0.617702i | \(0.788064\pi\) | |||||||
\(422\) | −5.05108 | − | 8.50775i | −0.245883 | − | 0.414151i | ||||
\(423\) | −0.544740 | − | 3.01866i | −0.0264862 | − | 0.146772i | ||||
\(424\) | 4.53379 | + | 5.78356i | 0.220180 | + | 0.280875i | ||||
\(425\) | −20.5543 | + | 12.4753i | −0.997030 | + | 0.605140i | ||||
\(426\) | 18.1788 | + | 25.1940i | 0.880765 | + | 1.22065i | ||||
\(427\) | 32.5802 | + | 23.6709i | 1.57667 | + | 1.14551i | ||||
\(428\) | 3.13028 | − | 2.95969i | 0.151308 | − | 0.143062i | ||||
\(429\) | 12.7542 | − | 11.1319i | 0.615778 | − | 0.537455i | ||||
\(430\) | 1.49064 | + | 1.42322i | 0.0718850 | + | 0.0686339i | ||||
\(431\) | 2.59889 | − | 7.99856i | 0.125184 | − | 0.385277i | −0.868750 | − | 0.495250i | \(-0.835076\pi\) |
0.993935 | + | 0.109973i | \(0.0350765\pi\) | |||||||
\(432\) | −10.4347 | − | 17.9755i | −0.502040 | − | 0.864845i | ||||
\(433\) | −37.6095 | − | 12.2201i | −1.80739 | − | 0.587258i | −0.807399 | − | 0.590006i | \(-0.799125\pi\) |
−0.999996 | + | 0.00274802i | \(0.999125\pi\) | |||||||
\(434\) | 15.5976 | − | 17.7529i | 0.748707 | − | 0.852167i | ||||
\(435\) | 3.74327 | − | 3.00347i | 0.179476 | − | 0.144006i | ||||
\(436\) | 32.5995 | + | 6.10349i | 1.56123 | + | 0.292304i | ||||
\(437\) | −18.1862 | + | 13.2130i | −0.869963 | + | 0.632065i | ||||
\(438\) | −8.92255 | + | 27.1580i | −0.426336 | + | 1.29766i | ||||
\(439\) | −12.6738 | + | 17.4441i | −0.604890 | + | 0.832559i | −0.996145 | − | 0.0877231i | \(-0.972041\pi\) |
0.391255 | + | 0.920282i | \(0.372041\pi\) | |||||||
\(440\) | −8.15324 | + | 11.1078i | −0.388690 | + | 0.529542i | ||||
\(441\) | −1.18212 | + | 8.66270i | −0.0562913 | + | 0.412509i | ||||
\(442\) | −2.81938 | + | 30.3790i | −0.134104 | + | 1.44498i | ||||
\(443\) | 17.3000i | 0.821948i | 0.911647 | + | 0.410974i | \(0.134811\pi\) | ||||
−0.911647 | + | 0.410974i | \(0.865189\pi\) | |||||||
\(444\) | −26.3023 | + | 15.4995i | −1.24825 | + | 0.735575i | ||||
\(445\) | 3.85995 | + | 5.80361i | 0.182979 | + | 0.275117i | ||||
\(446\) | −5.49245 | + | 3.26088i | −0.260075 | + | 0.154407i | ||||
\(447\) | 10.1376 | − | 8.84821i | 0.479494 | − | 0.418506i | ||||
\(448\) | 19.2436 | − | 16.2543i | 0.909173 | − | 0.767943i | ||||
\(449\) | − | 5.83429i | − | 0.275337i | −0.990478 | − | 0.137669i | \(-0.956039\pi\) | ||
0.990478 | − | 0.137669i | \(-0.0439609\pi\) | |||||||
\(450\) | 6.61946 | + | 20.1540i | 0.312044 | + | 0.950068i | ||||
\(451\) | − | 11.2627i | − | 0.530342i | ||||||
\(452\) | 30.9150 | + | 5.78810i | 1.45412 | + | 0.272250i | ||||
\(453\) | −7.29315 | + | 6.36552i | −0.342662 | + | 0.299078i | ||||
\(454\) | 11.4240 | + | 19.2419i | 0.536153 | + | 0.903066i | ||||
\(455\) | 30.4188 | − | 8.50893i | 1.42606 | − | 0.398905i | ||||
\(456\) | 10.5162 | + | 11.1955i | 0.492465 | + | 0.524277i | ||||
\(457\) | 2.37590i | 0.111140i | 0.998455 | + | 0.0555699i | \(0.0176976\pi\) | ||||
−0.998455 | + | 0.0555699i | \(0.982302\pi\) | |||||||
\(458\) | −24.6144 | − | 2.28439i | −1.15016 | − | 0.106742i | ||||
\(459\) | 6.61199 | + | 24.0965i | 0.308621 | + | 1.12473i | ||||
\(460\) | 7.20014 | − | 31.2448i | 0.335708 | − | 1.45680i | ||||
\(461\) | −8.59164 | + | 11.8254i | −0.400152 | + | 0.550762i | −0.960782 | − | 0.277304i | \(-0.910559\pi\) |
0.560630 | + | 0.828067i | \(0.310559\pi\) | |||||||
\(462\) | 15.9637 | + | 5.24476i | 0.742698 | + | 0.244008i | ||||
\(463\) | 5.25785 | − | 3.82005i | 0.244353 | − | 0.177533i | −0.458867 | − | 0.888505i | \(-0.651745\pi\) |
0.703220 | + | 0.710972i | \(0.251745\pi\) | |||||||
\(464\) | 1.26540 | + | 4.79241i | 0.0587448 | + | 0.222482i | ||||
\(465\) | −20.5302 | + | 0.983394i | −0.952066 | + | 0.0456038i | ||||
\(466\) | 2.31640 | + | 2.03517i | 0.107305 | + | 0.0942774i | ||||
\(467\) | 21.8778 | + | 7.10854i | 1.01239 | + | 0.328944i | 0.767804 | − | 0.640685i | \(-0.221349\pi\) |
0.244581 | + | 0.969629i | \(0.421349\pi\) | |||||||
\(468\) | 25.5451 | + | 8.48543i | 1.18082 | + | 0.392239i | ||||
\(469\) | 10.4642 | − | 32.2054i | 0.483190 | − | 1.48711i | ||||
\(470\) | −2.91411 | − | 1.40087i | −0.134418 | − | 0.0646175i | ||||
\(471\) | −15.3933 | + | 13.4354i | −0.709285 | + | 0.619069i | ||||
\(472\) | −5.83952 | + | 8.68791i | −0.268786 | + | 0.399893i | ||||
\(473\) | −1.14871 | − | 0.834590i | −0.0528180 | − | 0.0383745i | ||||
\(474\) | 22.7452 | − | 16.4118i | 1.04472 | − | 0.753820i | ||||
\(475\) | −8.13391 | − | 13.4014i | −0.373209 | − | 0.614900i | ||||
\(476\) | −27.3566 | + | 12.9872i | −1.25389 | + | 0.595269i | ||||
\(477\) | −7.67068 | + | 1.38423i | −0.351216 | + | 0.0633797i | ||||
\(478\) | −23.3934 | + | 13.8888i | −1.06999 | + | 0.635257i | ||||
\(479\) | −2.55938 | − | 7.87696i | −0.116941 | − | 0.359908i | 0.875406 | − | 0.483389i | \(-0.160594\pi\) |
−0.992347 | + | 0.123481i | \(0.960594\pi\) | |||||||
\(480\) | −21.7979 | − | 2.20221i | −0.994935 | − | 0.100517i | ||||
\(481\) | 12.2179 | − | 37.6027i | 0.557087 | − | 1.71454i | ||||
\(482\) | −5.24061 | − | 23.2587i | −0.238703 | − | 1.05940i | ||||
\(483\) | −38.9456 | + | 3.48587i | −1.77209 | + | 0.158612i | ||||
\(484\) | −5.98791 | + | 10.9806i | −0.272178 | + | 0.499116i | ||||
\(485\) | −0.305327 | + | 7.36995i | −0.0138642 | + | 0.334652i | ||||
\(486\) | 22.0281 | − | 0.873647i | 0.999214 | − | 0.0396294i | ||||
\(487\) | 22.1343 | − | 16.0815i | 1.00300 | − | 0.728722i | 0.0402704 | − | 0.999189i | \(-0.487178\pi\) |
0.962729 | + | 0.270467i | \(0.0871781\pi\) | |||||||
\(488\) | 34.7899 | + | 9.91461i | 1.57486 | + | 0.448813i | ||||
\(489\) | 33.9319 | + | 7.76229i | 1.53445 | + | 0.351023i | ||||
\(490\) | 6.66562 | + | 6.36415i | 0.301122 | + | 0.287503i | ||||
\(491\) | 1.14907 | − | 0.834847i | 0.0518567 | − | 0.0376761i | −0.561555 | − | 0.827439i | \(-0.689797\pi\) |
0.613412 | + | 0.789763i | \(0.289797\pi\) | |||||||
\(492\) | 15.4286 | − | 9.09181i | 0.695573 | − | 0.409890i | ||||
\(493\) | − | 5.95888i | − | 0.268375i | ||||||
\(494\) | −19.8072 | − | 1.83824i | −0.891167 | − | 0.0827065i | ||||
\(495\) | −6.37388 | − | 13.1516i | −0.286485 | − | 0.591119i | ||||
\(496\) | 7.67962 | − | 19.7900i | 0.344825 | − | 0.888597i | ||||
\(497\) | −12.3409 | − | 37.9815i | −0.553567 | − | 1.70370i | ||||
\(498\) | 10.9684 | + | 0.0359070i | 0.491505 | + | 0.00160903i | ||||
\(499\) | − | 3.74440i | − | 0.167622i | −0.996482 | − | 0.0838111i | \(-0.973291\pi\) | ||
0.996482 | − | 0.0838111i | \(-0.0267092\pi\) | |||||||
\(500\) | 21.2996 | + | 6.80638i | 0.952547 | + | 0.304390i | ||||
\(501\) | −7.76815 | − | 18.1992i | −0.347055 | − | 0.813082i | ||||
\(502\) | −6.52978 | + | 15.1603i | −0.291439 | + | 0.676639i | ||||
\(503\) | −13.7647 | + | 4.47241i | −0.613736 | + | 0.199415i | −0.599357 | − | 0.800482i | \(-0.704577\pi\) |
−0.0143790 | + | 0.999897i | \(0.504577\pi\) | |||||||
\(504\) | 5.70197 | + | 26.1021i | 0.253986 | + | 1.16268i | ||||
\(505\) | −1.54402 | − | 0.573366i | −0.0687078 | − | 0.0255144i | ||||
\(506\) | −2.04134 | + | 21.9956i | −0.0907488 | + | 0.977824i | ||||
\(507\) | −11.3527 | + | 4.84576i | −0.504189 | + | 0.215208i | ||||
\(508\) | 1.11246 | + | 8.57078i | 0.0493576 | + | 0.380267i | ||||
\(509\) | 14.0390 | + | 19.3230i | 0.622266 | + | 0.856475i | 0.997515 | − | 0.0704484i | \(-0.0224430\pi\) |
−0.375250 | + | 0.926924i | \(0.622443\pi\) | |||||||
\(510\) | 24.6612 | + | 9.24984i | 1.09202 | + | 0.409590i | ||||
\(511\) | 21.5988 | − | 29.7282i | 0.955475 | − | 1.31510i | ||||
\(512\) | 11.2179 | − | 19.6509i | 0.495767 | − | 0.868456i | ||||
\(513\) | −15.7110 | + | 4.31103i | −0.693657 | + | 0.190337i | ||||
\(514\) | −11.3297 | + | 26.3043i | −0.499730 | + | 1.16023i | ||||
\(515\) | −14.9757 | − | 0.620424i | −0.659910 | − | 0.0273391i | ||||
\(516\) | 0.215989 | − | 2.24732i | 0.00950839 | − | 0.0989326i | ||||
\(517\) | 2.11857 | + | 0.688364i | 0.0931744 | + | 0.0302742i | ||||
\(518\) | 38.2843 | − | 8.62616i | 1.68212 | − | 0.379012i | ||||
\(519\) | 1.59609 | + | 17.8322i | 0.0700605 | + | 0.782746i | ||||
\(520\) | 23.0357 | − | 16.5656i | 1.01018 | − | 0.726449i | ||||
\(521\) | −1.04897 | + | 0.340832i | −0.0459563 | + | 0.0149321i | −0.331905 | − | 0.943313i | \(-0.607691\pi\) |
0.285949 | + | 0.958245i | \(0.407691\pi\) | |||||||
\(522\) | −5.12108 | − | 1.18916i | −0.224144 | − | 0.0520480i | ||||
\(523\) | 31.1401 | + | 22.6246i | 1.36166 | + | 0.989304i | 0.998337 | + | 0.0576413i | \(0.0183580\pi\) |
0.363323 | + | 0.931663i | \(0.381642\pi\) | |||||||
\(524\) | 9.54974 | − | 4.53363i | 0.417182 | − | 0.198052i | ||||
\(525\) | −0.176109 | − | 27.2680i | −0.00768603 | − | 1.19007i | ||||
\(526\) | 11.9058 | − | 2.68258i | 0.519116 | − | 0.116966i | ||||
\(527\) | −15.0003 | + | 20.6461i | −0.653423 | + | 0.899360i | ||||
\(528\) | 15.0857 | − | 0.501935i | 0.656520 | − | 0.0218439i | ||||
\(529\) | −8.77735 | − | 27.0139i | −0.381624 | − | 1.17452i | ||||
\(530\) | −3.55975 | + | 7.40501i | −0.154626 | + | 0.321653i | ||||
\(531\) | −5.25176 | − | 9.78245i | −0.227907 | − | 0.424522i | ||||
\(532\) | −8.46771 | − | 17.8366i | −0.367122 | − | 0.773314i | ||||
\(533\) | −7.16683 | + | 22.0572i | −0.310430 | + | 0.955405i | ||||
\(534\) | 2.38319 | − | 7.25381i | 0.103131 | − | 0.313903i | ||||
\(535\) | 4.51517 | + | 1.67669i | 0.195208 | + | 0.0724898i | ||||
\(536\) | −1.11105 | − | 30.3981i | −0.0479899 | − | 1.31300i | ||||
\(537\) | −15.4207 | + | 25.7812i | −0.665454 | + | 1.11254i | ||||
\(538\) | −23.1931 | + | 26.3980i | −0.999925 | + | 1.13810i | ||||
\(539\) | −5.13665 | − | 3.73200i | −0.221251 | − | 0.160748i | ||||
\(540\) | 12.8707 | − | 19.3480i | 0.553868 | − | 0.832605i | ||||
\(541\) | −10.0337 | + | 7.28994i | −0.431384 | + | 0.313419i | −0.782202 | − | 0.623025i | \(-0.785904\pi\) |
0.350818 | + | 0.936444i | \(0.385904\pi\) | |||||||
\(542\) | 3.23954 | − | 34.9063i | 0.139150 | − | 1.49935i | ||||
\(543\) | −8.54750 | + | 3.64841i | −0.366808 | + | 0.156568i | ||||
\(544\) | −19.0704 | + | 19.3985i | −0.817636 | + | 0.831705i | ||||
\(545\) | 9.98897 | + | 35.7099i | 0.427880 | + | 1.52964i | ||||
\(546\) | −27.9263 | − | 20.4297i | −1.19513 | − | 0.874308i | ||||
\(547\) | −1.95152 | − | 6.00616i | −0.0834410 | − | 0.256805i | 0.900628 | − | 0.434590i | \(-0.143107\pi\) |
−0.984069 | + | 0.177785i | \(0.943107\pi\) | |||||||
\(548\) | −19.5942 | − | 3.66855i | −0.837023 | − | 0.156713i | ||||
\(549\) | −26.5429 | + | 27.7072i | −1.13283 | + | 1.18251i | ||||
\(550\) | −15.1690 | − | 2.68752i | −0.646810 | − | 0.114596i | ||||
\(551\) | 3.88521 | 0.165515 | ||||||||
\(552\) | −31.7791 | + | 14.9595i | −1.35261 | + | 0.636718i | ||||
\(553\) | −34.2897 | + | 11.1414i | −1.45815 | + | 0.473781i | ||||
\(554\) | 3.30211 | + | 5.56188i | 0.140293 | + | 0.236302i | ||||
\(555\) | −28.5424 | − | 18.7187i | −1.21156 | − | 0.794563i | ||||
\(556\) | −12.7296 | + | 1.65227i | −0.539857 | + | 0.0700720i | ||||
\(557\) | 43.8286 | 1.85708 | 0.928539 | − | 0.371236i | \(-0.121066\pi\) | ||||
0.928539 | + | 0.371236i | \(0.121066\pi\) | |||||||
\(558\) | 14.7499 | + | 17.0114i | 0.624412 | + | 0.720152i | ||||
\(559\) | 1.71860 | + | 2.36544i | 0.0726889 | + | 0.100048i | ||||
\(560\) | 25.8111 | + | 11.2666i | 1.09072 | + | 0.476100i | ||||
\(561\) | −17.6891 | − | 4.04656i | −0.746832 | − | 0.170846i | ||||
\(562\) | 9.28199 | − | 10.5646i | 0.391537 | − | 0.445642i | ||||
\(563\) | −11.8810 | − | 16.3529i | −0.500726 | − | 0.689191i | 0.481595 | − | 0.876394i | \(-0.340058\pi\) |
−0.982321 | + | 0.187203i | \(0.940058\pi\) | |||||||
\(564\) | 0.767231 | + | 3.45785i | 0.0323063 | + | 0.145602i | ||||
\(565\) | 9.47281 | + | 33.8646i | 0.398524 | + | 1.42470i | ||||
\(566\) | 3.25985 | + | 2.86407i | 0.137022 | + | 0.120386i | ||||
\(567\) | −27.3022 | − | 7.59274i | −1.14659 | − | 0.318865i | ||||
\(568\) | −22.1322 | − | 28.2331i | −0.928645 | − | 1.18463i | ||||
\(569\) | −6.83824 | − | 2.22188i | −0.286674 | − | 0.0931460i | 0.162150 | − | 0.986766i | \(-0.448157\pi\) |
−0.448824 | + | 0.893620i | \(0.648157\pi\) | |||||||
\(570\) | −6.03091 | + | 16.0792i | −0.252607 | + | 0.673482i | ||||
\(571\) | −8.99158 | + | 2.92154i | −0.376286 | + | 0.122263i | −0.491053 | − | 0.871130i | \(-0.663388\pi\) |
0.114767 | + | 0.993392i | \(0.463388\pi\) | |||||||
\(572\) | −14.2040 | + | 13.4300i | −0.593901 | + | 0.561535i | ||||
\(573\) | −36.6973 | − | 8.39490i | −1.53305 | − | 0.350702i | ||||
\(574\) | −22.4571 | + | 5.05999i | −0.937340 | + | 0.211200i | ||||
\(575\) | 34.8932 | − | 8.21971i | 1.45515 | − | 0.342785i | ||||
\(576\) | 12.8654 | + | 20.2603i | 0.536060 | + | 0.844180i | ||||
\(577\) | 13.2052 | − | 18.1754i | 0.549740 | − | 0.756653i | −0.440237 | − | 0.897882i | \(-0.645105\pi\) |
0.989977 | + | 0.141229i | \(0.0451054\pi\) | |||||||
\(578\) | 7.44761 | − | 4.42167i | 0.309780 | − | 0.183917i | ||||
\(579\) | 5.92713 | − | 5.17325i | 0.246323 | − | 0.214993i | ||||
\(580\) | −4.18092 | + | 3.63738i | −0.173603 | + | 0.151034i | ||||
\(581\) | −13.4093 | − | 4.35696i | −0.556313 | − | 0.180757i | ||||
\(582\) | 6.55262 | − | 4.72806i | 0.271615 | − | 0.195984i | ||||
\(583\) | 1.74919 | − | 5.38347i | 0.0724442 | − | 0.222960i | ||||
\(584\) | 9.04671 | − | 31.7445i | 0.374356 | − | 1.31360i | ||||
\(585\) | 4.11402 | + | 29.8123i | 0.170094 | + | 1.23259i | ||||
\(586\) | −1.29642 | + | 3.00994i | −0.0535548 | + | 0.124339i | ||||
\(587\) | −23.2299 | − | 31.9733i | −0.958802 | − | 1.31968i | −0.947505 | − | 0.319741i | \(-0.896404\pi\) |
−0.0112970 | − | 0.999936i | \(-0.503596\pi\) | |||||||
\(588\) | 0.965829 | − | 10.0492i | 0.0398301 | − | 0.414423i | ||||
\(589\) | −13.4613 | − | 9.78023i | −0.554664 | − | 0.402987i | ||||
\(590\) | −11.5988 | − | 1.56298i | −0.477515 | − | 0.0643468i | ||||
\(591\) | 18.8432 | − | 31.5030i | 0.775105 | − | 1.29586i | ||||
\(592\) | 29.6350 | − | 19.0918i | 1.21799 | − | 0.784669i | ||||
\(593\) | 13.3435 | 0.547953 | 0.273977 | − | 0.961736i | \(-0.411661\pi\) | ||||
0.273977 | + | 0.961736i | \(0.411661\pi\) | |||||||
\(594\) | −7.00766 | + | 14.3945i | −0.287528 | + | 0.590613i | ||||
\(595\) | −26.5439 | − | 21.0176i | −1.08819 | − | 0.861637i | ||||
\(596\) | −11.2901 | + | 10.6748i | −0.462459 | + | 0.437257i | ||||
\(597\) | 17.2328 | − | 15.0409i | 0.705292 | − | 0.615584i | ||||
\(598\) | 17.9943 | − | 41.7778i | 0.735842 | − | 1.70842i | ||||
\(599\) | 10.8222 | 0.442182 | 0.221091 | − | 0.975253i | \(-0.429038\pi\) | ||||
0.221091 | + | 0.975253i | \(0.429038\pi\) | |||||||
\(600\) | −8.56358 | − | 22.9492i | −0.349607 | − | 0.936897i | ||||
\(601\) | 7.06828 | 0.288321 | 0.144160 | − | 0.989554i | \(-0.453952\pi\) | ||||
0.144160 | + | 0.989554i | \(0.453952\pi\) | |||||||
\(602\) | −1.14803 | + | 2.66541i | −0.0467902 | + | 0.108634i | ||||
\(603\) | 29.0547 | + | 14.0272i | 1.18320 | + | 0.571232i | ||||
\(604\) | 8.12222 | − | 7.67959i | 0.330488 | − | 0.312478i | ||||
\(605\) | −13.9714 | − | 0.578815i | −0.568018 | − | 0.0235322i | ||||
\(606\) | 0.551920 | + | 1.71775i | 0.0224202 | + | 0.0697788i | ||||
\(607\) | −20.7689 | −0.842983 | −0.421492 | − | 0.906832i | \(-0.638493\pi\) | ||||
−0.421492 | + | 0.906832i | \(0.638493\pi\) | |||||||
\(608\) | −12.6479 | − | 12.4339i | −0.512939 | − | 0.504263i | ||||
\(609\) | 5.79974 | + | 3.46905i | 0.235017 | + | 0.140573i | ||||
\(610\) | 7.24930 | + | 39.7900i | 0.293515 | + | 1.61105i | ||||
\(611\) | −3.71102 | − | 2.69622i | −0.150132 | − | 0.109077i | ||||
\(612\) | −8.73613 | − | 27.4984i | −0.353137 | − | 1.11156i | ||||
\(613\) | 20.8906 | + | 28.7535i | 0.843764 | + | 1.16134i | 0.985202 | + | 0.171395i | \(0.0548274\pi\) |
−0.141438 | + | 0.989947i | \(0.545173\pi\) | |||||||
\(614\) | −16.1564 | + | 37.5106i | −0.652018 | + | 1.51381i | ||||
\(615\) | 16.7426 | + | 10.9801i | 0.675126 | + | 0.442761i | ||||
\(616\) | −18.6597 | − | 5.31774i | −0.751821 | − | 0.214258i | ||||
\(617\) | −14.8717 | + | 45.7703i | −0.598711 | + | 1.84264i | −0.0633979 | + | 0.997988i | \(0.520194\pi\) |
−0.535313 | + | 0.844654i | \(0.679806\pi\) | |||||||
\(618\) | 9.60741 | + | 13.3149i | 0.386467 | + | 0.535604i | ||||
\(619\) | −21.0541 | − | 6.84090i | −0.846236 | − | 0.274959i | −0.146368 | − | 0.989230i | \(-0.546758\pi\) |
−0.699869 | + | 0.714271i | \(0.746758\pi\) | |||||||
\(620\) | 23.6423 | − | 2.07806i | 0.949497 | − | 0.0834569i | ||||
\(621\) | 1.72631 | − | 37.2147i | 0.0692744 | − | 1.49337i | ||||
\(622\) | −28.1491 | + | 16.7122i | −1.12868 | + | 0.670100i | ||||
\(623\) | −5.76898 | + | 7.94032i | −0.231129 | + | 0.318122i | ||||
\(624\) | −29.8636 | − | 8.61648i | −1.19550 | − | 0.344935i | ||||
\(625\) | 3.69985 | + | 24.7247i | 0.147994 | + | 0.988988i | ||||
\(626\) | −8.53739 | + | 1.92363i | −0.341223 | + | 0.0768837i | ||||
\(627\) | 2.63837 | − | 11.5333i | 0.105366 | − | 0.460596i | ||||
\(628\) | 17.1432 | − | 16.2089i | 0.684086 | − | 0.646806i | ||||
\(629\) | −40.3060 | + | 13.0962i | −1.60711 | + | 0.522181i | ||||
\(630\) | −23.3597 | + | 18.6176i | −0.930671 | + | 0.741744i | ||||
\(631\) | −2.11030 | − | 0.685677i | −0.0840095 | − | 0.0272964i | 0.266711 | − | 0.963777i | \(-0.414063\pi\) |
−0.350720 | + | 0.936480i | \(0.614063\pi\) | |||||||
\(632\) | −25.4889 | + | 19.9810i | −1.01389 | + | 0.794800i | ||||
\(633\) | −12.0696 | + | 1.08030i | −0.479724 | + | 0.0429382i | ||||
\(634\) | −32.9477 | − | 28.9476i | −1.30852 | − | 1.14966i | ||||
\(635\) | −8.04577 | + | 5.35120i | −0.319287 | + | 0.212356i | ||||
\(636\) | 8.78671 | − | 1.94960i | 0.348416 | − | 0.0773068i | ||||
\(637\) | 7.68496 | + | 10.5774i | 0.304489 | + | 0.419094i | ||||
\(638\) | 2.51996 | − | 2.86818i | 0.0997660 | − | 0.113552i | ||||
\(639\) | 37.4452 | − | 6.75729i | 1.48131 | − | 0.267314i | ||||
\(640\) | 25.2514 | + | 1.53919i | 0.998147 | + | 0.0608418i | ||||
\(641\) | −0.775928 | − | 1.06797i | −0.0306473 | − | 0.0421824i | 0.793418 | − | 0.608677i | \(-0.208299\pi\) |
−0.824066 | + | 0.566494i | \(0.808299\pi\) | |||||||
\(642\) | −1.61398 | − | 5.02322i | −0.0636988 | − | 0.198251i | ||||
\(643\) | 16.1293 | 0.636078 | 0.318039 | − | 0.948078i | \(-0.396976\pi\) | ||||
0.318039 | + | 0.948078i | \(0.396976\pi\) | |||||||
\(644\) | 44.7747 | − | 5.81163i | 1.76437 | − | 0.229010i | ||||
\(645\) | 2.36054 | − | 0.893971i | 0.0929463 | − | 0.0352001i | ||||
\(646\) | 10.8853 | + | 18.3345i | 0.428275 | + | 0.721362i | ||||
\(647\) | −31.3201 | + | 10.1765i | −1.23132 | + | 0.400081i | −0.851193 | − | 0.524853i | \(-0.824120\pi\) |
−0.380129 | + | 0.924934i | \(0.624120\pi\) | |||||||
\(648\) | −25.3755 | + | 2.02027i | −0.996846 | + | 0.0793636i | ||||
\(649\) | 8.06315 | 0.316506 | ||||||||
\(650\) | 27.9973 | + | 14.9158i | 1.09814 | + | 0.585047i | ||||
\(651\) | −11.3621 | − | 26.6191i | −0.445315 | − | 1.04329i | ||||
\(652\) | −39.5068 | − | 7.39673i | −1.54721 | − | 0.289678i | ||||
\(653\) | −12.3997 | − | 38.1622i | −0.485236 | − | 1.49340i | −0.831638 | − | 0.555317i | \(-0.812597\pi\) |
0.346402 | − | 0.938086i | \(-0.387403\pi\) | |||||||
\(654\) | 23.9832 | − | 32.7838i | 0.937816 | − | 1.28195i | ||||
\(655\) | 9.26603 | + | 7.33688i | 0.362054 | + | 0.286676i | ||||
\(656\) | −17.3835 | + | 11.1990i | −0.678710 | + | 0.437247i | ||||
\(657\) | 25.2818 | + | 24.2195i | 0.986336 | + | 0.944891i | ||||
\(658\) | 0.420742 | − | 4.53352i | 0.0164022 | − | 0.176735i | ||||
\(659\) | 5.18431 | − | 3.76662i | 0.201952 | − | 0.146727i | −0.482213 | − | 0.876054i | \(-0.660167\pi\) |
0.684165 | + | 0.729327i | \(0.260167\pi\) | |||||||
\(660\) | 7.95845 | + | 14.8812i | 0.309782 | + | 0.579250i | ||||
\(661\) | −27.1923 | − | 19.7564i | −1.05766 | − | 0.768434i | −0.0840046 | − | 0.996465i | \(-0.526771\pi\) |
−0.973654 | + | 0.228032i | \(0.926771\pi\) | |||||||
\(662\) | −12.1453 | + | 13.8236i | −0.472039 | + | 0.537268i | ||||
\(663\) | 32.0677 | + | 19.1810i | 1.24541 | + | 0.744927i | ||||
\(664\) | −12.6568 | + | 0.462606i | −0.491180 | + | 0.0179526i | ||||
\(665\) | 13.7035 | − | 17.3067i | 0.531399 | − | 0.671124i | ||||
\(666\) | 3.21144 | + | 37.2526i | 0.124441 | + | 1.44351i | ||||
\(667\) | −2.74543 | + | 8.44956i | −0.106303 | + | 0.327168i | ||||
\(668\) | 9.79909 | + | 20.6410i | 0.379138 | + | 0.798626i | ||||
\(669\) | 0.697424 | + | 7.79192i | 0.0269640 | + | 0.301253i | ||||
\(670\) | 29.9368 | − | 16.1364i | 1.15656 | − | 0.623405i | ||||
\(671\) | −8.61055 | − | 26.5006i | −0.332407 | − | 1.02304i | ||||
\(672\) | −7.77833 | − | 29.8542i | −0.300055 | − | 1.15165i | ||||
\(673\) | 22.2887 | − | 30.6778i | 0.859167 | − | 1.18254i | −0.122600 | − | 0.992456i | \(-0.539123\pi\) |
0.981767 | − | 0.190086i | \(-0.0608766\pi\) | |||||||
\(674\) | −31.6212 | + | 7.12483i | −1.21800 | + | 0.274438i | ||||
\(675\) | 25.7643 | + | 3.34647i | 0.991670 | + | 0.128806i | ||||
\(676\) | 12.8758 | − | 6.11266i | 0.495225 | − | 0.235102i | ||||
\(677\) | −29.2698 | − | 21.2657i | −1.12493 | − | 0.817309i | −0.139980 | − | 0.990154i | \(-0.544704\pi\) |
−0.984949 | + | 0.172845i | \(0.944704\pi\) | |||||||
\(678\) | 22.7439 | − | 31.0898i | 0.873474 | − | 1.19399i | ||||
\(679\) | −9.87848 | + | 3.20971i | −0.379101 | + | 0.123177i | ||||
\(680\) | −28.8788 | − | 9.53906i | −1.10745 | − | 0.365806i | ||||
\(681\) | 27.2977 | − | 2.44331i | 1.04605 | − | 0.0936279i | ||||
\(682\) | −15.9511 | + | 3.59408i | −0.610800 | + | 0.137624i | ||||
\(683\) | 6.27951 | + | 2.04034i | 0.240279 | + | 0.0780713i | 0.426681 | − | 0.904402i | \(-0.359683\pi\) |
−0.186402 | + | 0.982474i | \(0.559683\pi\) | |||||||
\(684\) | 17.9290 | − | 5.69598i | 0.685532 | − | 0.217791i | ||||
\(685\) | −6.00396 | − | 21.4637i | −0.229399 | − | 0.820087i | ||||
\(686\) | 7.19692 | − | 16.7092i | 0.274780 | − | 0.637962i | ||||
\(687\) | −15.5413 | + | 25.9827i | −0.592937 | + | 0.991302i | ||||
\(688\) | −0.145933 | + | 2.60285i | −0.00556366 | + | 0.0992326i | ||||
\(689\) | −6.85133 | + | 9.43005i | −0.261015 | + | 0.359256i | ||||
\(690\) | −30.7073 | − | 24.4782i | −1.16901 | − | 0.931868i | ||||
\(691\) | 6.82283 | + | 9.39083i | 0.259553 | + | 0.357244i | 0.918828 | − | 0.394658i | \(-0.129137\pi\) |
−0.659275 | + | 0.751902i | \(0.729137\pi\) | |||||||
\(692\) | −2.66099 | − | 20.5012i | −0.101156 | − | 0.779338i | ||||
\(693\) | 14.2364 | − | 14.8608i | 0.540797 | − | 0.564517i | ||||
\(694\) | −3.80058 | + | 40.9514i | −0.144268 | + | 1.55449i | ||||
\(695\) | −7.94781 | − | 11.9499i | −0.301478 | − | 0.453285i | ||||
\(696\) | 5.96327 | + | 1.13670i | 0.226037 | + | 0.0430866i | ||||
\(697\) | 23.6430 | − | 7.68207i | 0.895541 | − | 0.290979i | ||||
\(698\) | −3.31523 | + | 7.69703i | −0.125483 | + | 0.291337i | ||||
\(699\) | 3.47327 | − | 1.48253i | 0.131371 | − | 0.0560743i | ||||
\(700\) | 1.45625 | + | 31.4533i | 0.0550411 | + | 1.18882i | ||||
\(701\) | − | 7.71123i | − | 0.291249i | −0.989340 | − | 0.145625i | \(-0.953481\pi\) | ||
0.989340 | − | 0.145625i | \(-0.0465192\pi\) | |||||||
\(702\) | 22.8836 | − | 23.7313i | 0.863686 | − | 0.895681i | ||||
\(703\) | −8.53877 | − | 26.2796i | −0.322046 | − | 0.991155i | ||||
\(704\) | −17.3826 | + | 1.27236i | −0.655130 | + | 0.0479540i | ||||
\(705\) | −3.08868 | + | 2.47825i | −0.116327 | + | 0.0933365i | ||||
\(706\) | 11.3274 | + | 1.05126i | 0.426311 | + | 0.0395646i | ||||
\(707\) | − | 2.31926i | − | 0.0872249i | ||||||
\(708\) | 6.50895 | + | 11.0455i | 0.244621 | + | 0.415116i | ||||
\(709\) | −7.86571 | + | 5.71477i | −0.295403 | + | 0.214623i | −0.725608 | − | 0.688108i | \(-0.758441\pi\) |
0.430205 | + | 0.902731i | \(0.358441\pi\) | |||||||
\(710\) | 17.3773 | − | 36.1484i | 0.652158 | − | 1.35662i | ||||
\(711\) | −6.10049 | − | 33.8056i | −0.228786 | − | 1.26781i | ||||
\(712\) | −2.41635 | + | 8.47886i | −0.0905565 | + | 0.317759i | ||||
\(713\) | 30.7824 | − | 22.3647i | 1.15281 | − | 0.837564i | ||||
\(714\) | −0.121416 | + | 37.0886i | −0.00454389 | + | 1.38801i | ||||
\(715\) | −20.4881 | − | 7.60821i | −0.766213 | − | 0.284531i | ||||
\(716\) | 16.6075 | − | 30.4546i | 0.620651 | − | 1.13814i | ||||
\(717\) | 2.97047 | + | 33.1874i | 0.110934 | + | 1.23940i | ||||
\(718\) | 0.578010 | + | 2.56530i | 0.0215711 | + | 0.0957362i | ||||
\(719\) | 5.91073 | − | 18.1913i | 0.220433 | − | 0.678423i | −0.778290 | − | 0.627905i | \(-0.783913\pi\) |
0.998723 | − | 0.0505180i | \(-0.0160872\pi\) | |||||||
\(720\) | −13.9610 | + | 22.9149i | −0.520294 | + | 0.853987i | ||||
\(721\) | −6.52213 | − | 20.0731i | −0.242897 | − | 0.747560i | ||||
\(722\) | 11.1507 | − | 6.62019i | 0.414985 | − | 0.246378i | ||||
\(723\) | −28.4648 | − | 6.51163i | −1.05862 | − | 0.242170i | ||||
\(724\) | 9.69433 | − | 4.60227i | 0.360287 | − | 0.171042i | ||||
\(725\) | −5.71402 | − | 2.39546i | −0.212213 | − | 0.0889652i | ||||
\(726\) | 8.96308 | + | 12.4219i | 0.332651 | + | 0.461021i | ||||
\(727\) | 10.2976 | + | 7.48165i | 0.381917 | + | 0.277479i | 0.762135 | − | 0.647418i | \(-0.224151\pi\) |
−0.380218 | + | 0.924897i | \(0.624151\pi\) | |||||||
\(728\) | 33.1598 | + | 22.2881i | 1.22898 | + | 0.826053i | ||||
\(729\) | 10.6849 | − | 24.7958i | 0.395736 | − | 0.918365i | ||||
\(730\) | 36.3069 | − | 6.61472i | 1.34378 | − | 0.244822i | ||||
\(731\) | 0.968475 | − | 2.98066i | 0.0358203 | − | 0.110244i | ||||
\(732\) | 29.3516 | − | 33.1879i | 1.08487 | − | 1.22666i | ||||
\(733\) | −17.8317 | − | 5.79386i | −0.658628 | − | 0.214001i | −0.0394131 | − | 0.999223i | \(-0.512549\pi\) |
−0.619214 | + | 0.785222i | \(0.712549\pi\) | |||||||
\(734\) | 0.419260 | + | 0.368358i | 0.0154752 | + | 0.0135963i | ||||
\(735\) | 10.5555 | − | 3.99753i | 0.389347 | − | 0.147451i | ||||
\(736\) | 35.9788 | − | 18.7204i | 1.32620 | − | 0.690043i | ||||
\(737\) | −18.9554 | + | 13.7719i | −0.698231 | + | 0.507294i | ||||
\(738\) | −1.88379 | − | 21.8519i | −0.0693431 | − | 0.804378i | ||||
\(739\) | 4.09366 | − | 5.63444i | 0.150588 | − | 0.207266i | −0.727058 | − | 0.686576i | \(-0.759113\pi\) |
0.877646 | + | 0.479310i | \(0.159113\pi\) | |||||||
\(740\) | 33.7920 | + | 20.2857i | 1.24222 | + | 0.745717i | ||||
\(741\) | −12.5060 | + | 20.9082i | −0.459421 | + | 0.768083i | ||||
\(742\) | −11.5201 | − | 1.06914i | −0.422916 | − | 0.0392495i | ||||
\(743\) | 38.3548i | 1.40710i | 0.710645 | + | 0.703551i | \(0.248403\pi\) | ||||
−0.710645 | + | 0.703551i | \(0.751597\pi\) | |||||||
\(744\) | −17.7999 | − | 18.9498i | −0.652577 | − | 0.694732i | ||||
\(745\) | −16.2850 | − | 6.04737i | −0.596635 | − | 0.221559i | ||||
\(746\) | −13.8032 | − | 23.2493i | −0.505370 | − | 0.851216i | ||||
\(747\) | 5.84049 | − | 12.0975i | 0.213692 | − | 0.442623i | ||||
\(748\) | 20.5953 | + | 3.85599i | 0.753040 | + | 0.140989i | ||||
\(749\) | 6.78223i | 0.247817i | ||||||||
\(750\) | 18.7835 | − | 19.9294i | 0.685876 | − | 0.727718i | ||||
\(751\) | 16.5627i | 0.604381i | 0.953248 | + | 0.302191i | \(0.0977179\pi\) | ||||
−0.953248 | + | 0.302191i | \(0.902282\pi\) | |||||||
\(752\) | −1.04412 | − | 3.95436i | −0.0380752 | − | 0.144201i | ||||
\(753\) | 13.2938 | + | 15.2311i | 0.484453 | + | 0.555052i | ||||
\(754\) | −6.76026 | + | 4.01359i | −0.246194 | + | 0.146166i | ||||
\(755\) | 11.7156 | + | 4.35056i | 0.426375 | + | 0.158333i | ||||
\(756\) | 31.8498 | + | 7.50576i | 1.15837 | + | 0.272982i | ||||
\(757\) | 19.9055i | 0.723479i | 0.932279 | + | 0.361739i | \(0.117817\pi\) | ||||
−0.932279 | + | 0.361739i | \(0.882183\pi\) | |||||||
\(758\) | −0.452027 | + | 4.87061i | −0.0164183 | + | 0.176909i | ||||
\(759\) | 23.2183 | + | 13.8878i | 0.842771 | + | 0.504095i | ||||
\(760\) | 6.21949 | − | 18.8290i | 0.225605 | − | 0.683001i | ||||
\(761\) | 29.7135 | − | 40.8972i | 1.07712 | − | 1.48252i | 0.214458 | − | 0.976733i | \(-0.431202\pi\) |
0.862657 | − | 0.505789i | \(-0.168798\pi\) | |||||||
\(762\) | 10.0562 | + | 3.30391i | 0.364299 | + | 0.119688i | ||||
\(763\) | −42.2427 | + | 30.6911i | −1.52929 | + | 1.11109i | ||||
\(764\) | 42.7266 | + | 7.99955i | 1.54579 | + | 0.289413i | ||||
\(765\) | 23.2605 | − | 22.3506i | 0.840987 | − | 0.808086i | ||||
\(766\) | −18.0005 | + | 20.4879i | −0.650384 | + | 0.740258i | ||||
\(767\) | −15.7911 | − | 5.13083i | −0.570183 | − | 0.185264i | ||||
\(768\) | −15.7750 | − | 22.7849i | −0.569231 | − | 0.822178i | ||||
\(769\) | 8.29531 | − | 25.5303i | 0.299136 | − | 0.920647i | −0.682664 | − | 0.730732i | \(-0.739179\pi\) |
0.981801 | − | 0.189915i | \(-0.0608213\pi\) | |||||||
\(770\) | −3.88819 | − | 21.3415i | −0.140121 | − | 0.769095i | ||||
\(771\) | 23.0657 | + | 26.4271i | 0.830692 | + | 0.951747i | ||||
\(772\) | −6.60091 | + | 6.24119i | −0.237572 | + | 0.224625i | ||||
\(773\) | −20.6276 | − | 14.9869i | −0.741925 | − | 0.539040i | 0.151388 | − | 0.988474i | \(-0.451626\pi\) |
−0.893313 | + | 0.449434i | \(0.851626\pi\) | |||||||
\(774\) | −2.36832 | − | 1.42713i | −0.0851274 | − | 0.0512972i | ||||
\(775\) | 13.7676 | + | 22.6836i | 0.494549 | + | 0.814819i | ||||
\(776\) | −7.34304 | + | 5.75628i | −0.263600 | + | 0.206638i | ||||
\(777\) | 10.7183 | − | 46.8537i | 0.384516 | − | 1.68087i | ||||
\(778\) | 11.5937 | + | 19.5278i | 0.415655 | + | 0.700106i | ||||
\(779\) | 5.00872 | + | 15.4153i | 0.179456 | + | 0.552309i | ||||
\(780\) | −6.11667 | − | 34.2079i | −0.219012 | − | 1.22484i | ||||
\(781\) | −8.53888 | + | 26.2800i | −0.305545 | + | 0.940371i | ||||
\(782\) | −47.5659 | + | 10.7175i | −1.70095 | + | 0.383256i | ||||
\(783\) | −4.02200 | + | 5.02820i | −0.143735 | + | 0.179693i | ||||
\(784\) | −0.652563 | + | 11.6390i | −0.0233058 | + | 0.415680i | ||||
\(785\) | 24.7276 | + | 9.18251i | 0.882565 | + | 0.327738i | ||||
\(786\) | 0.0423844 | − | 12.9470i | 0.00151180 | − | 0.461805i | ||||
\(787\) | −15.8981 | + | 11.5506i | −0.566705 | + | 0.411735i | −0.833907 | − | 0.551905i | \(-0.813901\pi\) |
0.267202 | + | 0.963641i | \(0.413901\pi\) | |||||||
\(788\) | −20.2933 | + | 37.2136i | −0.722920 | + | 1.32568i | ||||
\(789\) | 3.33320 | − | 14.5707i | 0.118665 | − | 0.518730i | ||||
\(790\) | −32.6348 | − | 15.6882i | −1.16109 | − | 0.558163i | ||||
\(791\) | −40.0599 | + | 29.1052i | −1.42437 | + | 1.03486i | ||||
\(792\) | 7.42386 | − | 16.9302i | 0.263795 | − | 0.601587i | ||||
\(793\) | 57.3785i | 2.03757i | ||||||||
\(794\) | 0.0984255 | − | 1.06054i | 0.00349299 | − | 0.0376372i | ||||
\(795\) | 6.29747 | + | 7.84863i | 0.223348 | + | 0.278362i | ||||
\(796\) | −19.1918 | + | 18.1459i | −0.680235 | + | 0.643165i | ||||
\(797\) | 1.02356 | + | 3.15018i | 0.0362563 | + | 0.111585i | 0.967547 | − | 0.252692i | \(-0.0813160\pi\) |
−0.931290 | + | 0.364277i | \(0.881316\pi\) | |||||||
\(798\) | −24.1819 | − | 0.0791637i | −0.856029 | − | 0.00280237i | ||||
\(799\) | 4.91685i | 0.173946i | ||||||||
\(800\) | 10.9351 | + | 26.0849i | 0.386615 | + | 0.922241i | ||||
\(801\) | −6.75268 | − | 6.46895i | −0.238594 | − | 0.228569i | ||||
\(802\) | 10.6708 | + | 4.59607i | 0.376799 | + | 0.162293i | ||||
\(803\) | −24.1808 | + | 7.85681i | −0.853321 | + | 0.277261i | ||||
\(804\) | −34.1675 | − | 14.8492i | −1.20499 | − | 0.523692i | ||||
\(805\) | 27.9553 | + | 42.0320i | 0.985293 | + | 1.48143i | ||||
\(806\) | 33.5261 | + | 3.11145i | 1.18091 | + | 0.109596i | ||||
\(807\) | 16.8951 | + | 39.5818i | 0.594735 | + | 1.39335i | ||||
\(808\) | −0.715734 | − | 1.95655i | −0.0251794 | − | 0.0688313i | ||||
\(809\) | −8.97385 | − | 12.3514i | −0.315504 | − | 0.434254i | 0.621584 | − | 0.783348i | \(-0.286489\pi\) |
−0.937088 | + | 0.349094i | \(0.886489\pi\) | |||||||
\(810\) | −14.5662 | − | 24.4505i | −0.511806 | − | 0.859101i | ||||
\(811\) | −15.7802 | + | 21.7196i | −0.554119 | + | 0.762679i | −0.990564 | − | 0.137052i | \(-0.956237\pi\) |
0.436445 | + | 0.899731i | \(0.356237\pi\) | |||||||
\(812\) | −6.85107 | − | 3.73602i | −0.240425 | − | 0.131109i | ||||
\(813\) | −36.8467 | − | 22.0394i | −1.29227 | − | 0.772957i | ||||
\(814\) | −24.9387 | − | 10.7415i | −0.874101 | − | 0.376488i | ||||
\(815\) | −12.1055 | − | 43.2763i | −0.424037 | − | 1.51590i | ||||
\(816\) | 11.3433 | + | 31.3258i | 0.397094 | + | 1.09662i | ||||
\(817\) | 1.94340 | + | 0.631448i | 0.0679908 | + | 0.0220916i | ||||
\(818\) | 10.1511 | + | 45.0521i | 0.354923 | + | 1.57521i | ||||
\(819\) | −37.3374 | + | 20.0448i | −1.30467 | + | 0.700421i | ||||
\(820\) | −19.8219 | − | 11.8993i | −0.692212 | − | 0.415542i | ||||
\(821\) | 52.2383 | − | 16.9732i | 1.82313 | − | 0.592370i | 0.823439 | − | 0.567404i | \(-0.192052\pi\) |
0.999688 | − | 0.0249655i | \(-0.00794761\pi\) | |||||||
\(822\) | −14.4153 | + | 19.7050i | −0.502791 | + | 0.687290i | ||||
\(823\) | −2.76638 | − | 2.00989i | −0.0964299 | − | 0.0700604i | 0.538526 | − | 0.842609i | \(-0.318982\pi\) |
−0.634955 | + | 0.772549i | \(0.718982\pi\) | |||||||
\(824\) | −11.6968 | − | 14.9211i | −0.407476 | − | 0.519800i | ||||
\(825\) | −10.9912 | + | 15.3355i | −0.382666 | + | 0.533912i | ||||
\(826\) | −3.62251 | − | 16.0773i | −0.126043 | − | 0.559401i | ||||
\(827\) | 19.3792 | − | 26.6732i | 0.673881 | − | 0.927517i | −0.325960 | − | 0.945384i | \(-0.605687\pi\) |
0.999840 | + | 0.0178664i | \(0.00568734\pi\) | |||||||
\(828\) | −0.281651 | + | 43.0171i | −0.00978806 | + | 1.49495i | ||||
\(829\) | 7.01433 | + | 21.5879i | 0.243618 | + | 0.749778i | 0.995861 | + | 0.0908925i | \(0.0289720\pi\) |
−0.752243 | + | 0.658886i | \(0.771028\pi\) | |||||||
\(830\) | −6.71871 | − | 12.4648i | −0.233210 | − | 0.432658i | ||||
\(831\) | 7.89043 | − | 0.706241i | 0.273716 | − | 0.0244992i | ||||
\(832\) | 34.8521 | + | 8.56924i | 1.20828 | + | 0.297085i | ||||
\(833\) | 4.33068 | − | 13.3285i | 0.150049 | − | 0.461804i | ||||
\(834\) | −4.90709 | + | 14.9359i | −0.169919 | + | 0.517188i | ||||
\(835\) | −15.8581 | + | 20.0278i | −0.548793 | + | 0.693091i | ||||
\(836\) | −2.51411 | + | 13.4282i | −0.0869525 | + | 0.464424i | ||||
\(837\) | 26.5928 | − | 7.29695i | 0.919181 | − | 0.252220i | ||||
\(838\) | 0.792143 | + | 0.695970i | 0.0273641 | + | 0.0240419i | ||||
\(839\) | 9.61057 | + | 6.98249i | 0.331794 | + | 0.241062i | 0.741191 | − | 0.671294i | \(-0.234261\pi\) |
−0.409398 | + | 0.912356i | \(0.634261\pi\) | |||||||
\(840\) | 26.0965 | − | 22.5542i | 0.900415 | − | 0.778194i | ||||
\(841\) | −22.2192 | + | 16.1432i | −0.766180 | + | 0.556662i | ||||
\(842\) | −19.9047 | − | 1.84729i | −0.685961 | − | 0.0636620i | ||||
\(843\) | −6.76149 | − | 15.8408i | −0.232878 | − | 0.545587i | ||||
\(844\) | 13.8761 | − | 1.80108i | 0.477636 | − | 0.0619957i | ||||
\(845\) | 12.4933 | + | 9.89227i | 0.429783 | + | 0.340304i | ||||
\(846\) | 4.22555 | + | 0.981208i | 0.145277 | + | 0.0337346i | ||||
\(847\) | −6.08472 | − | 18.7268i | −0.209074 | − | 0.643462i | ||||
\(848\) | −10.0484 | + | 2.65321i | −0.345063 | + | 0.0911114i | ||||
\(849\) | 4.88789 | − | 2.08634i | 0.167752 | − | 0.0716031i | ||||
\(850\) | −4.70477 | − | 33.6762i | −0.161372 | − | 1.15509i | ||||
\(851\) | 63.1869 | 2.16602 | ||||||||
\(852\) | −42.8933 | + | 9.51720i | −1.46950 | + | 0.326054i | ||||
\(853\) | −13.3093 | + | 4.32445i | −0.455701 | + | 0.148066i | −0.527868 | − | 0.849326i | \(-0.677009\pi\) |
0.0721669 | + | 0.997393i | \(0.477009\pi\) | |||||||
\(854\) | −48.9717 | + | 29.0746i | −1.67578 | + | 0.994914i | ||||
\(855\) | 14.5726 | + | 15.1659i | 0.498373 | + | 0.518664i | ||||
\(856\) | 2.09302 | + | 5.72155i | 0.0715381 | + | 0.195559i | ||||
\(857\) | 7.48884 | 0.255814 | 0.127907 | − | 0.991786i | \(-0.459174\pi\) | ||||
0.127907 | + | 0.991786i | \(0.459174\pi\) | |||||||
\(858\) | 7.32364 | + | 22.7935i | 0.250025 | + | 0.778156i | ||||
\(859\) | −12.6391 | − | 17.3963i | −0.431242 | − | 0.593553i | 0.536996 | − | 0.843585i | \(-0.319559\pi\) |
−0.968238 | + | 0.250032i | \(0.919559\pi\) | |||||||
\(860\) | −2.68248 | + | 1.13993i | −0.0914719 | + | 0.0388711i | ||||
\(861\) | −6.28720 | + | 27.4837i | −0.214267 | + | 0.936643i | ||||
\(862\) | 8.93507 | + | 7.85027i | 0.304330 | + | 0.267381i | ||||
\(863\) | 29.7893 | + | 41.0014i | 1.01404 | + | 1.39570i | 0.916300 | + | 0.400492i | \(0.131161\pi\) |
0.0977378 | + | 0.995212i | \(0.468839\pi\) | |||||||
\(864\) | 29.1851 | − | 3.49705i | 0.992898 | − | 0.118972i | ||||
\(865\) | 19.2454 | − | 12.8000i | 0.654362 | − | 0.435213i | ||||
\(866\) | 36.9122 | − | 42.0130i | 1.25433 | − | 1.42766i | ||||
\(867\) | −0.945689 | − | 10.5656i | −0.0321173 | − | 0.358828i | ||||
\(868\) | 14.3327 | + | 30.1906i | 0.486482 | + | 1.02474i | ||||
\(869\) | 23.7256 | + | 7.70891i | 0.804835 | + | 0.261507i | ||||
\(870\) | 1.80696 | + | 6.54223i | 0.0612616 | + | 0.221802i | ||||
\(871\) | 45.8862 | − | 14.9093i | 1.55479 | − | 0.505183i | ||||
\(872\) | −26.1649 | + | 38.9276i | −0.886056 | + | 1.31825i | ||||
\(873\) | −1.75748 | − | 9.73900i | −0.0594817 | − | 0.329615i | ||||
\(874\) | −6.98782 | − | 31.0131i | −0.236367 | − | 1.04903i | ||||
\(875\) | −30.8245 | + | 17.0041i | −1.04206 | + | 0.574844i | ||||
\(876\) | −30.2827 | − | 26.7823i | −1.02316 | − | 0.904890i | ||||
\(877\) | −17.4476 | + | 24.0145i | −0.589163 | + | 0.810913i | −0.994662 | − | 0.103182i | \(-0.967097\pi\) |
0.405500 | + | 0.914095i | \(0.367097\pi\) | |||||||
\(878\) | −15.5671 | − | 26.2204i | −0.525365 | − | 0.884894i | ||||
\(879\) | 2.63935 | + | 3.02398i | 0.0890232 | + | 0.101996i | ||||
\(880\) | −9.86619 | − | 16.8040i | −0.332589 | − | 0.566462i | ||||
\(881\) | −21.4138 | − | 6.95778i | −0.721451 | − | 0.234413i | −0.0747986 | − | 0.997199i | \(-0.523831\pi\) |
−0.646652 | + | 0.762785i | \(0.723831\pi\) | |||||||
\(882\) | −10.5903 | − | 6.38163i | −0.356593 | − | 0.214881i | ||||
\(883\) | 16.7696 | − | 51.6115i | 0.564342 | − | 1.73687i | −0.105557 | − | 0.994413i | \(-0.533663\pi\) |
0.669899 | − | 0.742452i | \(-0.266337\pi\) | |||||||
\(884\) | −37.8807 | − | 20.6571i | −1.27407 | − | 0.694774i | ||||
\(885\) | −7.86081 | + | 11.9862i | −0.264238 | + | 0.402913i | ||||
\(886\) | −22.4702 | − | 9.67826i | −0.754903 | − | 0.325148i | ||||
\(887\) | −16.8855 | − | 23.2408i | −0.566958 | − | 0.780351i | 0.425232 | − | 0.905084i | \(-0.360192\pi\) |
−0.992190 | + | 0.124733i | \(0.960192\pi\) | |||||||
\(888\) | −5.41720 | − | 42.8339i | −0.181789 | − | 1.43741i | ||||
\(889\) | −11.0080 | − | 7.99776i | −0.369196 | − | 0.268236i | ||||
\(890\) | −9.69746 | + | 1.76677i | −0.325060 | + | 0.0592223i | ||||
\(891\) | 12.1950 | + | 15.3539i | 0.408549 | + | 0.514376i | ||||
\(892\) | −1.16274 | − | 8.95816i | −0.0389315 | − | 0.299941i | ||||
\(893\) | −3.20580 | −0.107278 | ||||||||
\(894\) | 5.82119 | + | 18.1174i | 0.194690 | + | 0.605935i | ||||
\(895\) | 38.7497 | + | 1.60534i | 1.29526 | + | 0.0536607i | ||||
\(896\) | 10.3464 | + | 34.0879i | 0.345650 | + | 1.13880i | ||||
\(897\) | −36.6341 | − | 41.9727i | −1.22318 | − | 1.40143i | ||||
\(898\) | 7.57791 | + | 3.26392i | 0.252878 | + | 0.108918i | ||||
\(899\) | −6.57619 | −0.219328 | ||||||||
\(900\) | −29.8803 | − | 2.67715i | −0.996010 | − | 0.0892383i | ||||
\(901\) | 12.4942 | 0.416241 | ||||||||
\(902\) | 14.6287 | + | 6.30080i | 0.487082 | + | 0.209794i | ||||
\(903\) | 2.33724 | + | 2.67784i | 0.0777785 | + | 0.0891130i | ||||
\(904\) | −24.8129 | + | 36.9161i | −0.825265 | + | 1.22781i | ||||
\(905\) | 9.40633 | + | 7.44797i | 0.312677 | + | 0.247579i | ||||
\(906\) | −4.18784 | − | 13.0339i | −0.139132 | − | 0.433021i | ||||
\(907\) | 7.41562 | 0.246232 | 0.123116 | − | 0.992392i | \(-0.460711\pi\) | ||||
0.123116 | + | 0.992392i | \(0.460711\pi\) | |||||||
\(908\) | −31.3835 | + | 4.07348i | −1.04150 | + | 0.135183i | ||||
\(909\) | 2.18944 | + | 0.298773i | 0.0726192 | + | 0.00990966i | ||||
\(910\) | −5.96553 | + | 44.2699i | −0.197756 | + | 1.46753i | ||||
\(911\) | −41.1661 | − | 29.9089i | −1.36389 | − | 0.990926i | −0.998187 | − | 0.0601958i | \(-0.980827\pi\) |
−0.365706 | − | 0.930730i | \(-0.619173\pi\) | |||||||
\(912\) | −20.4245 | + | 7.39584i | −0.676322 | + | 0.244901i | ||||
\(913\) | 5.73419 | + | 7.89244i | 0.189774 | + | 0.261202i | ||||
\(914\) | −3.08595 | − | 1.32917i | −0.102074 | − | 0.0439649i | ||||
\(915\) | 47.7888 | + | 13.0356i | 1.57985 | + | 0.430942i | ||||
\(916\) | 16.7373 | − | 30.6926i | 0.553016 | − | 1.01411i | ||||
\(917\) | −5.14293 | + | 15.8283i | −0.169834 | + | 0.522696i | ||||
\(918\) | −34.9969 | − | 4.89246i | −1.15507 | − | 0.161475i | ||||
\(919\) | 30.1486 | + | 9.79588i | 0.994511 | + | 0.323136i | 0.760670 | − | 0.649139i | \(-0.224871\pi\) |
0.233841 | + | 0.972275i | \(0.424871\pi\) | |||||||
\(920\) | 36.5546 | + | 26.8315i | 1.20517 | + | 0.884607i | ||||
\(921\) | 32.8923 | + | 37.6857i | 1.08384 | + | 1.24178i | ||||
\(922\) | −10.5530 | − | 17.7749i | −0.347544 | − | 0.585384i | ||||
\(923\) | 33.4455 | − | 46.0338i | 1.10087 | − | 1.51522i | ||||
\(924\) | −15.7429 | + | 17.8004i | −0.517902 | + | 0.585592i | ||||
\(925\) | −3.64488 | + | 43.9144i | −0.119843 | + | 1.44390i | ||||
\(926\) | 2.02027 | + | 8.96627i | 0.0663900 | + | 0.294650i | ||||
\(927\) | 19.7896 | − | 3.57120i | 0.649977 | − | 0.117294i | ||||
\(928\) | −6.93258 | − | 1.03748i | −0.227573 | − | 0.0340569i | ||||
\(929\) | 14.2613 | − | 4.63377i | 0.467897 | − | 0.152029i | −0.0655734 | − | 0.997848i | \(-0.520888\pi\) |
0.533470 | + | 0.845819i | \(0.320888\pi\) | |||||||
\(930\) | 10.2081 | − | 27.2160i | 0.334736 | − | 0.892446i | ||||
\(931\) | 8.69019 | + | 2.82361i | 0.284810 | + | 0.0925402i | ||||
\(932\) | −3.93928 | + | 1.87013i | −0.129035 | + | 0.0612580i | ||||
\(933\) | 3.57435 | + | 39.9341i | 0.117019 | + | 1.30738i | ||||
\(934\) | −21.4722 | + | 24.4394i | −0.702593 | + | 0.799682i | ||||
\(935\) | 6.31071 | + | 22.5604i | 0.206382 | + | 0.737803i | ||||
\(936\) | −25.3123 | + | 28.4324i | −0.827357 | + | 0.929343i | ||||
\(937\) | −15.0163 | − | 20.6681i | −0.490560 | − | 0.675198i | 0.489931 | − | 0.871761i | \(-0.337022\pi\) |
−0.980491 | + | 0.196563i | \(0.937022\pi\) | |||||||
\(938\) | 35.9762 | + | 31.6084i | 1.17466 | + | 1.03205i | ||||
\(939\) | −2.39017 | + | 10.4484i | −0.0780004 | + | 0.340969i | ||||
\(940\) | 3.44980 | − | 3.00131i | 0.112520 | − | 0.0978920i | ||||
\(941\) | 9.07867 | + | 12.4957i | 0.295956 | + | 0.407349i | 0.930937 | − | 0.365179i | \(-0.118992\pi\) |
−0.634981 | + | 0.772528i | \(0.718992\pi\) | |||||||
\(942\) | −8.83906 | − | 27.5099i | −0.287992 | − | 0.896322i | ||||
\(943\) | −37.0645 | −1.20699 | ||||||||
\(944\) | −8.01751 | − | 12.4450i | −0.260948 | − | 0.405052i | ||||
\(945\) | 8.21217 | + | 35.6510i | 0.267142 | + | 1.15973i | ||||
\(946\) | 1.72665 | − | 1.02512i | 0.0561381 | − | 0.0333294i | ||||
\(947\) | −34.6174 | + | 11.2479i | −1.12491 | + | 0.365507i | −0.811641 | − | 0.584156i | \(-0.801425\pi\) |
−0.313273 | + | 0.949663i | \(0.601425\pi\) | |||||||
\(948\) | 8.59214 | + | 38.7241i | 0.279060 | + | 1.25770i | ||||
\(949\) | 52.3558 | 1.69954 | ||||||||
\(950\) | 21.9570 | − | 3.06752i | 0.712378 | − | 0.0995235i | ||||
\(951\) | −49.4026 | + | 21.0870i | −1.60199 | + | 0.683792i | ||||
\(952\) | −1.56426 | − | 42.7979i | −0.0506980 | − | 1.38709i | ||||
\(953\) | 6.65664 | + | 20.4870i | 0.215630 | + | 0.663640i | 0.999108 | + | 0.0422213i | \(0.0134434\pi\) |
−0.783479 | + | 0.621419i | \(0.786557\pi\) | |||||||
\(954\) | 2.49334 | − | 10.7375i | 0.0807248 | − | 0.347640i | ||||
\(955\) | 13.0921 | + | 46.8032i | 0.423649 | + | 1.51452i | ||||
\(956\) | −4.95236 | − | 38.1546i | −0.160171 | − | 1.23401i | ||||
\(957\) | −1.83567 | − | 4.30061i | −0.0593388 | − | 0.139019i | ||||
\(958\) | 11.6629 | + | 1.08239i | 0.376810 | + | 0.0349706i | ||||
\(959\) | 25.3903 | − | 18.4472i | 0.819896 | − | 0.595690i | ||||
\(960\) | 15.0549 | − | 27.0804i | 0.485896 | − | 0.874017i | ||||
\(961\) | −2.29456 | − | 1.66709i | −0.0740180 | − | 0.0537772i | ||||
\(962\) | 42.0054 | + | 36.9056i | 1.35431 | + | 1.18988i | ||||
\(963\) | −6.40259 | − | 0.873701i | −0.206321 | − | 0.0281546i | ||||
\(964\) | 33.1415 | + | 6.20497i | 1.06742 | + | 0.199849i | ||||
\(965\) | −9.52127 | − | 3.53569i | −0.306500 | − | 0.113818i | ||||
\(966\) | 17.2600 | − | 52.5349i | 0.555330 | − | 1.69028i | ||||
\(967\) | −1.42209 | + | 4.37674i | −0.0457313 | + | 0.140747i | −0.971315 | − | 0.237797i | \(-0.923575\pi\) |
0.925584 | + | 0.378543i | \(0.123575\pi\) | |||||||
\(968\) | −10.9123 | − | 13.9204i | −0.350735 | − | 0.447418i | ||||
\(969\) | 26.0105 | − | 2.32810i | 0.835577 | − | 0.0747893i | ||||
\(970\) | −9.40170 | − | 4.51960i | −0.301871 | − | 0.145116i | ||||
\(971\) | −14.0446 | − | 43.2248i | −0.450712 | − | 1.38715i | −0.876096 | − | 0.482137i | \(-0.839861\pi\) |
0.425383 | − | 0.905013i | \(-0.360139\pi\) | |||||||
\(972\) | −11.1886 | + | 29.1001i | −0.358874 | + | 0.933386i | ||||
\(973\) | 11.8786 | − | 16.3495i | 0.380810 | − | 0.524140i | ||||
\(974\) | 8.50483 | + | 37.7458i | 0.272512 | + | 1.20945i | ||||
\(975\) | 31.2839 | − | 23.0393i | 1.00189 | − | 0.737847i | ||||
\(976\) | −32.3404 | + | 39.6405i | −1.03519 | + | 1.26886i | ||||
\(977\) | 47.4755 | + | 34.4930i | 1.51888 | + | 1.10353i | 0.962041 | + | 0.272905i | \(0.0879846\pi\) |
0.556835 | + | 0.830623i | \(0.312015\pi\) | |||||||
\(978\) | −29.0649 | + | 39.7302i | −0.929392 | + | 1.27043i | ||||
\(979\) | 6.45861 | − | 2.09853i | 0.206418 | − | 0.0670693i | ||||
\(980\) | −11.9951 | + | 5.09735i | −0.383170 | + | 0.162829i | ||||
\(981\) | −23.5314 | − | 43.8318i | −0.751298 | − | 1.39944i | ||||
\(982\) | 0.441516 | + | 1.95952i | 0.0140893 | + | 0.0625308i | ||||
\(983\) | −28.8848 | − | 9.38525i | −0.921283 | − | 0.299343i | −0.190290 | − | 0.981728i | \(-0.560943\pi\) |
−0.730993 | + | 0.682385i | \(0.760943\pi\) | |||||||
\(984\) | 3.17765 | + | 25.1258i | 0.101300 | + | 0.800981i | ||||
\(985\) | −47.3497 | − | 1.96163i | −1.50869 | − | 0.0625028i | ||||
\(986\) | 7.73974 | + | 3.33362i | 0.246484 | + | 0.106164i | ||||
\(987\) | −4.78553 | − | 2.86242i | −0.152325 | − | 0.0911117i | ||||
\(988\) | 13.4685 | − | 24.6983i | 0.428489 | − | 0.785758i | ||||
\(989\) | −2.74655 | + | 3.78030i | −0.0873353 | + | 0.120207i | ||||
\(990\) | 20.6478 | − | 0.921288i | 0.656230 | − | 0.0292804i | ||||
\(991\) | −27.8358 | − | 38.3127i | −0.884233 | − | 1.21704i | −0.975230 | − | 0.221191i | \(-0.929006\pi\) |
0.0909975 | − | 0.995851i | \(-0.470994\pi\) | |||||||
\(992\) | 21.4081 | + | 21.0460i | 0.679708 | + | 0.668211i | ||||
\(993\) | 8.84725 | + | 20.7273i | 0.280759 | + | 0.657763i | ||||
\(994\) | 56.2365 | + | 5.21914i | 1.78371 | + | 0.165541i | ||||
\(995\) | −27.6826 | − | 10.2798i | −0.877596 | − | 0.325893i | ||||
\(996\) | −6.18276 | + | 14.2263i | −0.195908 | + | 0.450777i | ||||
\(997\) | 39.9997 | − | 12.9967i | 1.26680 | − | 0.411609i | 0.402889 | − | 0.915249i | \(-0.368006\pi\) |
0.863914 | + | 0.503640i | \(0.168006\pi\) | |||||||
\(998\) | 4.86344 | + | 2.09475i | 0.153949 | + | 0.0663083i | ||||
\(999\) | 42.8503 | + | 16.1541i | 1.35572 | + | 0.511094i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.r.a.59.20 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.37 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.44 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.13 | ✓ | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.13 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.44 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.37 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.20 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.13 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.20 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.37 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.44 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.13 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.20 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.37 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.44 | yes | 224 | 75.14 | odd | 10 | inner |