Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 85.24 | ||
Character | \(\chi\) | \(=\) | 216.85 |
Dual form | 216.2.t.a.61.24 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.531223 | − | 1.31065i | 0.375632 | − | 0.926769i | ||||
\(3\) | 0.346028 | − | 1.69713i | 0.199779 | − | 0.979841i | ||||
\(4\) | −1.43560 | − | 1.39250i | −0.717802 | − | 0.696248i | ||||
\(5\) | 3.12086 | + | 0.550291i | 1.39569 | + | 0.246098i | 0.820371 | − | 0.571832i | \(-0.193767\pi\) |
0.575318 | + | 0.817930i | \(0.304878\pi\) | |||||||
\(6\) | −2.04053 | − | 1.35508i | −0.833043 | − | 0.553209i | ||||
\(7\) | 0.272184 | − | 0.228389i | 0.102876 | − | 0.0863231i | −0.589899 | − | 0.807477i | \(-0.700832\pi\) |
0.692775 | + | 0.721154i | \(0.256388\pi\) | |||||||
\(8\) | −2.58770 | + | 1.14185i | −0.914890 | + | 0.403704i | ||||
\(9\) | −2.76053 | − | 1.17451i | −0.920176 | − | 0.391504i | ||||
\(10\) | 2.37911 | − | 3.79802i | 0.752341 | − | 1.20104i | ||||
\(11\) | 0.752218 | − | 0.132636i | 0.226802 | − | 0.0399913i | −0.0590920 | − | 0.998253i | \(-0.518821\pi\) |
0.285894 | + | 0.958261i | \(0.407709\pi\) | |||||||
\(12\) | −2.86001 | + | 1.95457i | −0.825614 | + | 0.564236i | ||||
\(13\) | 1.01726 | + | 2.79490i | 0.282137 | + | 0.775165i | 0.997107 | + | 0.0760102i | \(0.0242182\pi\) |
−0.714970 | + | 0.699155i | \(0.753560\pi\) | |||||||
\(14\) | −0.154748 | − | 0.478063i | −0.0413581 | − | 0.127768i | ||||
\(15\) | 2.01382 | − | 5.10609i | 0.519966 | − | 1.31839i | ||||
\(16\) | 0.121915 | + | 3.99814i | 0.0304787 | + | 0.999535i | ||||
\(17\) | −3.30776 | + | 5.72921i | −0.802250 | + | 1.38954i | 0.115883 | + | 0.993263i | \(0.463030\pi\) |
−0.918132 | + | 0.396274i | \(0.870303\pi\) | |||||||
\(18\) | −3.00583 | + | 2.99416i | −0.708481 | + | 0.705730i | ||||
\(19\) | −0.123806 | + | 0.0714795i | −0.0284031 | + | 0.0163985i | −0.514134 | − | 0.857710i | \(-0.671887\pi\) |
0.485731 | + | 0.874108i | \(0.338553\pi\) | |||||||
\(20\) | −3.71403 | − | 5.13578i | −0.830483 | − | 1.14839i | ||||
\(21\) | −0.293424 | − | 0.540962i | −0.0640304 | − | 0.118047i | ||||
\(22\) | 0.225756 | − | 1.05635i | 0.0481313 | − | 0.225215i | ||||
\(23\) | −5.43289 | − | 4.55874i | −1.13284 | − | 0.950563i | −0.133656 | − | 0.991028i | \(-0.542672\pi\) |
−0.999181 | + | 0.0404648i | \(0.987116\pi\) | |||||||
\(24\) | 1.04245 | + | 4.78678i | 0.212789 | + | 0.977098i | ||||
\(25\) | 4.73845 | + | 1.72466i | 0.947691 | + | 0.344931i | ||||
\(26\) | 4.20352 | + | 0.151444i | 0.824379 | + | 0.0297007i | ||||
\(27\) | −2.94853 | + | 4.27857i | −0.567444 | + | 0.823412i | ||||
\(28\) | −0.708779 | − | 0.0511381i | −0.133947 | − | 0.00966419i | ||||
\(29\) | 2.23558 | − | 6.14220i | 0.415136 | − | 1.14058i | −0.539287 | − | 0.842122i | \(-0.681306\pi\) |
0.954424 | − | 0.298456i | \(-0.0964715\pi\) | |||||||
\(30\) | −5.62251 | − | 5.35189i | −1.02653 | − | 0.977117i | ||||
\(31\) | 2.36944 | + | 1.98819i | 0.425564 | + | 0.357090i | 0.830275 | − | 0.557354i | \(-0.188184\pi\) |
−0.404711 | + | 0.914445i | \(0.632628\pi\) | |||||||
\(32\) | 5.30493 | + | 1.96412i | 0.937787 | + | 0.347210i | ||||
\(33\) | 0.0351870 | − | 1.32251i | 0.00612526 | − | 0.230219i | ||||
\(34\) | 5.75182 | + | 7.37880i | 0.986430 | + | 1.26545i | ||||
\(35\) | 0.975127 | − | 0.562990i | 0.164827 | − | 0.0951626i | ||||
\(36\) | 2.32752 | + | 5.53016i | 0.387920 | + | 0.921693i | ||||
\(37\) | 7.84495 | + | 4.52928i | 1.28970 | + | 0.744609i | 0.978601 | − | 0.205768i | \(-0.0659691\pi\) |
0.311100 | + | 0.950377i | \(0.399302\pi\) | |||||||
\(38\) | 0.0279159 | + | 0.200238i | 0.00452855 | + | 0.0324829i | ||||
\(39\) | 5.09532 | − | 0.759313i | 0.815904 | − | 0.121587i | ||||
\(40\) | −8.70418 | + | 2.13955i | −1.37625 | + | 0.338293i | ||||
\(41\) | −3.14214 | + | 1.14364i | −0.490719 | + | 0.178607i | −0.575515 | − | 0.817791i | \(-0.695198\pi\) |
0.0847958 | + | 0.996398i | \(0.472976\pi\) | |||||||
\(42\) | −0.864885 | + | 0.0972046i | −0.133455 | + | 0.0149990i | ||||
\(43\) | 7.77365 | − | 1.37070i | 1.18547 | − | 0.209031i | 0.454062 | − | 0.890970i | \(-0.349974\pi\) |
0.731409 | + | 0.681939i | \(0.238863\pi\) | |||||||
\(44\) | −1.26458 | − | 0.857046i | −0.190643 | − | 0.129205i | ||||
\(45\) | −7.96889 | − | 5.18458i | −1.18793 | − | 0.772871i | ||||
\(46\) | −8.86099 | + | 4.69891i | −1.30648 | + | 0.692817i | ||||
\(47\) | 5.24581 | − | 4.40176i | 0.765180 | − | 0.642062i | −0.174289 | − | 0.984694i | \(-0.555763\pi\) |
0.939470 | + | 0.342632i | \(0.111318\pi\) | |||||||
\(48\) | 6.82757 | + | 1.17656i | 0.985475 | + | 0.169822i | ||||
\(49\) | −1.19361 | + | 6.76933i | −0.170516 | + | 0.967047i | ||||
\(50\) | 4.77760 | − | 5.29427i | 0.675654 | − | 0.748723i | ||||
\(51\) | 8.57866 | + | 7.59618i | 1.20125 | + | 1.06368i | ||||
\(52\) | 2.43150 | − | 5.42890i | 0.337188 | − | 0.752852i | ||||
\(53\) | − | 2.40651i | − | 0.330559i | −0.986247 | − | 0.165279i | \(-0.947147\pi\) | ||
0.986247 | − | 0.165279i | \(-0.0528526\pi\) | |||||||
\(54\) | 4.04138 | + | 6.13736i | 0.549963 | + | 0.835189i | ||||
\(55\) | 2.42055 | 0.326387 | ||||||||
\(56\) | −0.443544 | + | 0.901795i | −0.0592711 | + | 0.120507i | ||||
\(57\) | 0.0784699 | + | 0.234850i | 0.0103936 | + | 0.0311066i | ||||
\(58\) | −6.86268 | − | 6.19294i | −0.901114 | − | 0.813172i | ||||
\(59\) | −10.8039 | − | 1.90501i | −1.40654 | − | 0.248012i | −0.581714 | − | 0.813393i | \(-0.697618\pi\) |
−0.824829 | + | 0.565382i | \(0.808729\pi\) | |||||||
\(60\) | −10.0013 | + | 4.52609i | −1.29116 | + | 0.584316i | ||||
\(61\) | −4.68886 | − | 5.58797i | −0.600347 | − | 0.715466i | 0.377212 | − | 0.926127i | \(-0.376883\pi\) |
−0.977559 | + | 0.210661i | \(0.932438\pi\) | |||||||
\(62\) | 3.86453 | − | 2.04933i | 0.490795 | − | 0.260265i | ||||
\(63\) | −1.01962 | + | 0.310792i | −0.128460 | + | 0.0391561i | ||||
\(64\) | 5.39237 | − | 5.90951i | 0.674046 | − | 0.738689i | ||||
\(65\) | 1.63671 | + | 9.28226i | 0.203009 | + | 1.15132i | ||||
\(66\) | −1.71465 | − | 0.748666i | −0.211059 | − | 0.0921544i | ||||
\(67\) | −3.33686 | − | 9.16794i | −0.407662 | − | 1.12004i | −0.958416 | − | 0.285374i | \(-0.907882\pi\) |
0.550754 | − | 0.834667i | \(-0.314340\pi\) | |||||||
\(68\) | 12.7265 | − | 3.61883i | 1.54332 | − | 0.438848i | ||||
\(69\) | −9.61673 | + | 7.64290i | −1.15772 | + | 0.920097i | ||||
\(70\) | −0.219872 | − | 1.57712i | −0.0262797 | − | 0.188502i | ||||
\(71\) | −6.07535 | + | 10.5228i | −0.721012 | + | 1.24883i | 0.239583 | + | 0.970876i | \(0.422989\pi\) |
−0.960595 | + | 0.277953i | \(0.910344\pi\) | |||||||
\(72\) | 8.48453 | − | 0.112817i | 0.999912 | − | 0.0132956i | ||||
\(73\) | −1.95917 | − | 3.39339i | −0.229304 | − | 0.397166i | 0.728298 | − | 0.685261i | \(-0.240312\pi\) |
−0.957602 | + | 0.288094i | \(0.906978\pi\) | |||||||
\(74\) | 10.1037 | − | 7.87591i | 1.17453 | − | 0.915556i | ||||
\(75\) | 4.56661 | − | 7.44501i | 0.527307 | − | 0.859676i | ||||
\(76\) | 0.277271 | + | 0.0697832i | 0.0318052 | + | 0.00800468i | ||||
\(77\) | 0.174449 | − | 0.207900i | 0.0198803 | − | 0.0236924i | ||||
\(78\) | 1.71156 | − | 7.08154i | 0.193796 | − | 0.801827i | ||||
\(79\) | 0.515393 | + | 0.187588i | 0.0579863 | + | 0.0211053i | 0.370850 | − | 0.928693i | \(-0.379066\pi\) |
−0.312864 | + | 0.949798i | \(0.601288\pi\) | |||||||
\(80\) | −1.81966 | + | 12.5447i | −0.203444 | + | 1.40254i | ||||
\(81\) | 6.24104 | + | 6.48455i | 0.693449 | + | 0.720506i | ||||
\(82\) | −0.170260 | + | 4.72577i | −0.0188020 | + | 0.521874i | ||||
\(83\) | −4.63970 | + | 12.7475i | −0.509273 | + | 1.39922i | 0.372716 | + | 0.927945i | \(0.378426\pi\) |
−0.881989 | + | 0.471270i | \(0.843796\pi\) | |||||||
\(84\) | −0.332046 | + | 1.18520i | −0.0362292 | + | 0.129316i | ||||
\(85\) | −13.4758 | + | 16.0598i | −1.46165 | + | 1.74193i | ||||
\(86\) | 2.33303 | − | 10.9167i | 0.251577 | − | 1.17718i | ||||
\(87\) | −9.65056 | − | 5.91945i | −1.03465 | − | 0.634631i | ||||
\(88\) | −1.79506 | + | 1.20214i | −0.191354 | + | 0.128149i | ||||
\(89\) | −6.70489 | − | 11.6132i | −0.710717 | − | 1.23100i | −0.964588 | − | 0.263760i | \(-0.915037\pi\) |
0.253871 | − | 0.967238i | \(-0.418296\pi\) | |||||||
\(90\) | −11.0284 | + | 7.69025i | −1.16250 | + | 0.810623i | ||||
\(91\) | 0.915207 | + | 0.528395i | 0.0959397 | + | 0.0553908i | ||||
\(92\) | 1.45146 | + | 14.1098i | 0.151325 | + | 1.47105i | ||||
\(93\) | 4.19412 | − | 3.33328i | 0.434910 | − | 0.345645i | ||||
\(94\) | −2.98246 | − | 9.21374i | −0.307618 | − | 0.950324i | ||||
\(95\) | −0.425716 | + | 0.154948i | −0.0436775 | + | 0.0158973i | ||||
\(96\) | 5.16903 | − | 8.32353i | 0.527562 | − | 0.849517i | ||||
\(97\) | 2.03404 | + | 11.5356i | 0.206525 | + | 1.17126i | 0.895021 | + | 0.446023i | \(0.147160\pi\) |
−0.688496 | + | 0.725240i | \(0.741729\pi\) | |||||||
\(98\) | 8.23814 | + | 5.16043i | 0.832178 | + | 0.521283i | ||||
\(99\) | −2.23230 | − | 0.517343i | −0.224355 | − | 0.0519949i | ||||
\(100\) | −4.40097 | − | 9.07420i | −0.440097 | − | 0.907420i | ||||
\(101\) | 4.43650 | + | 5.28722i | 0.441448 | + | 0.526098i | 0.940189 | − | 0.340654i | \(-0.110648\pi\) |
−0.498741 | + | 0.866751i | \(0.666204\pi\) | |||||||
\(102\) | 14.5131 | − | 7.20834i | 1.43701 | − | 0.713732i | ||||
\(103\) | 1.10708 | − | 6.27854i | 0.109083 | − | 0.618643i | −0.880427 | − | 0.474182i | \(-0.842744\pi\) |
0.989510 | − | 0.144461i | \(-0.0461449\pi\) | |||||||
\(104\) | −5.82371 | − | 6.07080i | −0.571062 | − | 0.595291i | ||||
\(105\) | −0.618048 | − | 1.84973i | −0.0603153 | − | 0.180515i | ||||
\(106\) | −3.15408 | − | 1.27839i | −0.306352 | − | 0.124168i | ||||
\(107\) | − | 7.48200i | − | 0.723312i | −0.932312 | − | 0.361656i | \(-0.882211\pi\) | ||
0.932312 | − | 0.361656i | \(-0.117789\pi\) | |||||||
\(108\) | 10.1908 | − | 2.03653i | 0.980611 | − | 0.195965i | ||||
\(109\) | 0.944408i | 0.0904579i | 0.998977 | + | 0.0452290i | \(0.0144017\pi\) | ||||
−0.998977 | + | 0.0452290i | \(0.985598\pi\) | |||||||
\(110\) | 1.28585 | − | 3.17249i | 0.122601 | − | 0.302485i | ||||
\(111\) | 10.4014 | − | 11.7467i | 0.987255 | − | 1.11494i | ||||
\(112\) | 0.946316 | + | 1.06039i | 0.0894185 | + | 0.100197i | ||||
\(113\) | 3.06382 | − | 17.3758i | 0.288220 | − | 1.63458i | −0.405331 | − | 0.914170i | \(-0.632844\pi\) |
0.693551 | − | 0.720408i | \(-0.256045\pi\) | |||||||
\(114\) | 0.349490 | + | 0.0219110i | 0.0327328 | + | 0.00205216i | ||||
\(115\) | −14.4466 | − | 17.2168i | −1.34716 | − | 1.60548i | ||||
\(116\) | −11.7624 | + | 5.70473i | −1.09211 | + | 0.529671i | ||||
\(117\) | 0.474468 | − | 8.91018i | 0.0438646 | − | 0.823747i | ||||
\(118\) | −8.23607 | + | 13.1481i | −0.758192 | + | 1.21038i | ||||
\(119\) | 0.408171 | + | 2.31485i | 0.0374170 | + | 0.212202i | ||||
\(120\) | 0.619214 | + | 15.5125i | 0.0565262 | + | 1.41609i | ||||
\(121\) | −9.78838 | + | 3.56268i | −0.889853 | + | 0.323880i | ||||
\(122\) | −9.81470 | + | 3.17699i | −0.888581 | + | 0.287632i | ||||
\(123\) | 0.853650 | + | 5.72836i | 0.0769710 | + | 0.516509i | ||||
\(124\) | −0.633022 | − | 6.15369i | −0.0568471 | − | 0.552618i | ||||
\(125\) | 0.116794 | + | 0.0674311i | 0.0104464 | + | 0.00603122i | ||||
\(126\) | −0.134305 | + | 1.50146i | −0.0119649 | + | 0.133761i | ||||
\(127\) | 3.86113 | + | 6.68768i | 0.342620 | + | 0.593435i | 0.984918 | − | 0.173019i | \(-0.0553523\pi\) |
−0.642298 | + | 0.766455i | \(0.722019\pi\) | |||||||
\(128\) | −4.88074 | − | 10.2068i | −0.431401 | − | 0.902160i | ||||
\(129\) | 0.363633 | − | 13.6672i | 0.0320161 | − | 1.20333i | ||||
\(130\) | 13.0353 | + | 2.78580i | 1.14327 | + | 0.244331i | ||||
\(131\) | −12.3669 | + | 14.7383i | −1.08050 | + | 1.28769i | −0.125176 | + | 0.992134i | \(0.539950\pi\) |
−0.955325 | + | 0.295557i | \(0.904495\pi\) | |||||||
\(132\) | −1.89210 | + | 1.84960i | −0.164686 | + | 0.160987i | ||||
\(133\) | −0.0173729 | + | 0.0477316i | −0.00150642 | + | 0.00413885i | ||||
\(134\) | −13.7886 | − | 0.496774i | −1.19115 | − | 0.0429147i | ||||
\(135\) | −11.5564 | + | 11.7303i | −0.994615 | + | 1.00958i | ||||
\(136\) | 2.01761 | − | 18.6024i | 0.173008 | − | 1.59514i | ||||
\(137\) | −5.35030 | − | 1.94735i | −0.457107 | − | 0.166373i | 0.103196 | − | 0.994661i | \(-0.467093\pi\) |
−0.560303 | + | 0.828288i | \(0.689315\pi\) | |||||||
\(138\) | 4.90853 | + | 16.6642i | 0.417842 | + | 1.41855i | ||||
\(139\) | −5.15895 | + | 6.14819i | −0.437576 | + | 0.521483i | −0.939092 | − | 0.343665i | \(-0.888331\pi\) |
0.501516 | + | 0.865148i | \(0.332776\pi\) | |||||||
\(140\) | −2.18386 | − | 0.549629i | −0.184570 | − | 0.0464522i | ||||
\(141\) | −5.65518 | − | 10.4260i | −0.476252 | − | 0.878026i | ||||
\(142\) | 10.5644 | + | 13.5526i | 0.886541 | + | 1.13731i | ||||
\(143\) | 1.13591 | + | 1.96745i | 0.0949892 | + | 0.164526i | ||||
\(144\) | 4.35932 | − | 11.1802i | 0.363277 | − | 0.931681i | ||||
\(145\) | 10.3569 | − | 17.9387i | 0.860094 | − | 1.48973i | ||||
\(146\) | −5.48830 | + | 0.765143i | −0.454215 | + | 0.0633237i | ||||
\(147\) | 11.0754 | + | 4.36810i | 0.913486 | + | 0.360275i | ||||
\(148\) | −4.95523 | − | 17.4263i | −0.407317 | − | 1.43243i | ||||
\(149\) | 0.818135 | + | 2.24781i | 0.0670243 | + | 0.184148i | 0.968683 | − | 0.248301i | \(-0.0798721\pi\) |
−0.901659 | + | 0.432448i | \(0.857650\pi\) | |||||||
\(150\) | −7.33191 | − | 9.94019i | −0.598648 | − | 0.811613i | ||||
\(151\) | −0.149554 | − | 0.848164i | −0.0121705 | − | 0.0690226i | 0.978118 | − | 0.208053i | \(-0.0667126\pi\) |
−0.990288 | + | 0.139030i | \(0.955601\pi\) | |||||||
\(152\) | 0.238754 | − | 0.326335i | 0.0193655 | − | 0.0264693i | ||||
\(153\) | 15.8602 | − | 11.9306i | 1.28222 | − | 0.964535i | ||||
\(154\) | −0.179813 | − | 0.339082i | −0.0144897 | − | 0.0273240i | ||||
\(155\) | 6.30059 | + | 7.50875i | 0.506075 | + | 0.603117i | ||||
\(156\) | −8.37220 | − | 6.00513i | −0.670312 | − | 0.480796i | ||||
\(157\) | 9.45013 | + | 1.66631i | 0.754202 | + | 0.132986i | 0.537514 | − | 0.843255i | \(-0.319363\pi\) |
0.216688 | + | 0.976241i | \(0.430475\pi\) | |||||||
\(158\) | 0.519651 | − | 0.575849i | 0.0413412 | − | 0.0458121i | ||||
\(159\) | −4.08416 | − | 0.832719i | −0.323895 | − | 0.0660389i | ||||
\(160\) | 15.4751 | + | 9.04898i | 1.22341 | + | 0.715385i | ||||
\(161\) | −2.51991 | −0.198597 | ||||||||
\(162\) | 11.8144 | − | 4.73507i | 0.928224 | − | 0.372022i | ||||
\(163\) | − | 11.1701i | − | 0.874908i | −0.899241 | − | 0.437454i | \(-0.855880\pi\) | ||
0.899241 | − | 0.437454i | \(-0.144120\pi\) | |||||||
\(164\) | 6.10338 | + | 2.73359i | 0.476594 | + | 0.213458i | ||||
\(165\) | 0.837579 | − | 4.10800i | 0.0652054 | − | 0.319807i | ||||
\(166\) | 14.2427 | + | 12.8528i | 1.10545 | + | 0.997568i | ||||
\(167\) | −3.33218 | + | 18.8977i | −0.257852 | + | 1.46235i | 0.530794 | + | 0.847501i | \(0.321894\pi\) |
−0.788645 | + | 0.614848i | \(0.789217\pi\) | |||||||
\(168\) | 1.37699 | + | 1.06480i | 0.106237 | + | 0.0821511i | ||||
\(169\) | 3.18194 | − | 2.66996i | 0.244764 | − | 0.205382i | ||||
\(170\) | 13.8901 | + | 26.1934i | 1.06532 | + | 2.00894i | ||||
\(171\) | 0.425724 | − | 0.0519094i | 0.0325559 | − | 0.00396961i | ||||
\(172\) | −13.0686 | − | 8.85698i | −0.996470 | − | 0.675339i | ||||
\(173\) | 18.5858 | − | 3.27717i | 1.41305 | − | 0.249159i | 0.585555 | − | 0.810633i | \(-0.300877\pi\) |
0.827494 | + | 0.561474i | \(0.189766\pi\) | |||||||
\(174\) | −12.8849 | + | 9.50395i | −0.976803 | + | 0.720493i | ||||
\(175\) | 1.68362 | − | 0.612789i | 0.127270 | − | 0.0463225i | ||||
\(176\) | 0.622005 | + | 2.99130i | 0.0468854 | + | 0.225478i | ||||
\(177\) | −6.97151 | + | 17.6764i | −0.524010 | + | 1.32864i | ||||
\(178\) | −18.7826 | + | 2.61855i | −1.40782 | + | 0.196269i | ||||
\(179\) | −5.34027 | − | 3.08320i | −0.399150 | − | 0.230449i | 0.286967 | − | 0.957940i | \(-0.407353\pi\) |
−0.686117 | + | 0.727491i | \(0.740686\pi\) | |||||||
\(180\) | 4.22066 | + | 18.5396i | 0.314590 | + | 1.38186i | ||||
\(181\) | 7.72285 | − | 4.45879i | 0.574035 | − | 0.331419i | −0.184724 | − | 0.982790i | \(-0.559139\pi\) |
0.758759 | + | 0.651371i | \(0.225806\pi\) | |||||||
\(182\) | 1.17872 | − | 0.918819i | 0.0873725 | − | 0.0681074i | ||||
\(183\) | −11.1060 | + | 6.02403i | −0.820980 | + | 0.445309i | ||||
\(184\) | 19.2641 | + | 5.59311i | 1.42017 | + | 0.412330i | ||||
\(185\) | 21.9905 | + | 18.4522i | 1.61678 | + | 1.35664i | ||||
\(186\) | −2.14075 | − | 7.26774i | −0.156967 | − | 0.532897i | ||||
\(187\) | −1.72825 | + | 4.74834i | −0.126382 | + | 0.347233i | ||||
\(188\) | −13.6603 | − | 0.985587i | −0.996282 | − | 0.0718813i | ||||
\(189\) | 0.174639 | + | 1.83797i | 0.0127032 | + | 0.133693i | ||||
\(190\) | −0.0230678 | + | 0.640276i | −0.00167352 | + | 0.0464505i | ||||
\(191\) | −4.67810 | − | 1.70269i | −0.338496 | − | 0.123202i | 0.167179 | − | 0.985927i | \(-0.446534\pi\) |
−0.505675 | + | 0.862724i | \(0.668756\pi\) | |||||||
\(192\) | −8.16332 | − | 11.1964i | −0.589137 | − | 0.808033i | ||||
\(193\) | −11.3867 | − | 9.55454i | −0.819630 | − | 0.687751i | 0.133256 | − | 0.991082i | \(-0.457457\pi\) |
−0.952885 | + | 0.303331i | \(0.901901\pi\) | |||||||
\(194\) | 16.1997 | + | 3.46207i | 1.16307 | + | 0.248562i | ||||
\(195\) | 16.3196 | + | 0.434202i | 1.16867 | + | 0.0310939i | ||||
\(196\) | 11.1398 | − | 8.05597i | 0.795701 | − | 0.575426i | ||||
\(197\) | 14.0946 | − | 8.13754i | 1.00420 | − | 0.579776i | 0.0947127 | − | 0.995505i | \(-0.469807\pi\) |
0.909489 | + | 0.415729i | \(0.136473\pi\) | |||||||
\(198\) | −1.86391 | + | 2.65094i | −0.132462 | + | 0.188394i | ||||
\(199\) | −3.09691 | + | 5.36400i | −0.219534 | + | 0.380244i | −0.954666 | − | 0.297680i | \(-0.903787\pi\) |
0.735132 | + | 0.677924i | \(0.237120\pi\) | |||||||
\(200\) | −14.2310 | + | 0.947698i | −1.00628 | + | 0.0670124i | ||||
\(201\) | −16.7139 | + | 2.49073i | −1.17891 | + | 0.175682i | ||||
\(202\) | 9.28646 | − | 3.00600i | 0.653393 | − | 0.211502i | ||||
\(203\) | −0.794324 | − | 2.18239i | −0.0557506 | − | 0.153174i | ||||
\(204\) | −1.73791 | − | 22.8508i | −0.121678 | − | 1.59988i | ||||
\(205\) | −10.4355 | + | 1.84006i | −0.728846 | + | 0.128515i | ||||
\(206\) | −7.64086 | − | 4.78630i | −0.532364 | − | 0.333477i | ||||
\(207\) | 9.64337 | + | 18.9655i | 0.670260 | + | 1.31820i | ||||
\(208\) | −11.0504 | + | 4.40789i | −0.766206 | + | 0.305632i | ||||
\(209\) | −0.0836484 | + | 0.0701893i | −0.00578608 | + | 0.00485510i | ||||
\(210\) | −2.75267 | − | 0.172577i | −0.189952 | − | 0.0119089i | ||||
\(211\) | 10.3455 | + | 1.82419i | 0.712214 | + | 0.125582i | 0.518005 | − | 0.855378i | \(-0.326675\pi\) |
0.194209 | + | 0.980960i | \(0.437786\pi\) | |||||||
\(212\) | −3.35105 | + | 3.45479i | −0.230151 | + | 0.237276i | ||||
\(213\) | 15.7564 | + | 13.9519i | 1.07961 | + | 0.955967i | ||||
\(214\) | −9.80628 | − | 3.97461i | −0.670343 | − | 0.271699i | ||||
\(215\) | 25.0147 | 1.70599 | ||||||||
\(216\) | 2.74442 | − | 14.4384i | 0.186734 | − | 0.982410i | ||||
\(217\) | 1.09900 | 0.0746053 | ||||||||
\(218\) | 1.23779 | + | 0.501692i | 0.0838336 | + | 0.0339789i | ||||
\(219\) | −6.43697 | + | 2.15077i | −0.434970 | + | 0.145336i | ||||
\(220\) | −3.47495 | − | 3.37060i | −0.234281 | − | 0.227246i | ||||
\(221\) | −19.3774 | − | 3.41676i | −1.30347 | − | 0.229836i | ||||
\(222\) | −9.87031 | − | 19.8727i | −0.662452 | − | 1.33377i | ||||
\(223\) | −13.7805 | + | 11.5632i | −0.922810 | + | 0.774329i | −0.974512 | − | 0.224333i | \(-0.927980\pi\) |
0.0517029 | + | 0.998663i | \(0.483535\pi\) | |||||||
\(224\) | 1.89250 | − | 0.676987i | 0.126448 | − | 0.0452331i | ||||
\(225\) | −11.0550 | − | 10.3263i | −0.737001 | − | 0.688422i | ||||
\(226\) | −21.1460 | − | 13.2460i | −1.40661 | − | 0.881113i | ||||
\(227\) | 2.19805 | − | 0.387576i | 0.145890 | − | 0.0257243i | −0.100226 | − | 0.994965i | \(-0.531957\pi\) |
0.246116 | + | 0.969240i | \(0.420846\pi\) | |||||||
\(228\) | 0.214375 | − | 0.446420i | 0.0141973 | − | 0.0295649i | ||||
\(229\) | 0.332100 | + | 0.912438i | 0.0219458 | + | 0.0602956i | 0.950182 | − | 0.311696i | \(-0.100897\pi\) |
−0.928236 | + | 0.371992i | \(0.878675\pi\) | |||||||
\(230\) | −30.2396 | + | 9.78850i | −1.99394 | + | 0.645434i | ||||
\(231\) | −0.292470 | − | 0.368002i | −0.0192431 | − | 0.0242128i | ||||
\(232\) | 1.22845 | + | 18.4468i | 0.0806516 | + | 1.21109i | ||||
\(233\) | 4.97785 | − | 8.62190i | 0.326110 | − | 0.564839i | −0.655626 | − | 0.755086i | \(-0.727595\pi\) |
0.981736 | + | 0.190246i | \(0.0609287\pi\) | |||||||
\(234\) | −11.4261 | − | 5.35516i | −0.746946 | − | 0.350078i | ||||
\(235\) | 18.7937 | − | 10.8505i | 1.22596 | − | 0.707810i | ||||
\(236\) | 12.8573 | + | 17.7792i | 0.836942 | + | 1.15733i | ||||
\(237\) | 0.496702 | − | 0.809781i | 0.0322643 | − | 0.0526009i | ||||
\(238\) | 3.25079 | + | 0.694735i | 0.210718 | + | 0.0450330i | ||||
\(239\) | −17.3351 | − | 14.5459i | −1.12131 | − | 0.940893i | −0.122642 | − | 0.992451i | \(-0.539137\pi\) |
−0.998670 | + | 0.0515580i | \(0.983581\pi\) | |||||||
\(240\) | 20.6604 | + | 7.42903i | 1.33362 | + | 0.479542i | ||||
\(241\) | 15.4358 | + | 5.61819i | 0.994310 | + | 0.361899i | 0.787388 | − | 0.616458i | \(-0.211433\pi\) |
0.206923 | + | 0.978357i | \(0.433655\pi\) | |||||||
\(242\) | −0.530393 | + | 14.7217i | −0.0340950 | + | 0.946348i | ||||
\(243\) | 13.1647 | − | 8.34805i | 0.844518 | − | 0.535527i | ||||
\(244\) | −1.04987 | + | 14.5513i | −0.0672111 | + | 0.931553i | ||||
\(245\) | −7.45020 | + | 20.4693i | −0.475976 | + | 1.30773i | ||||
\(246\) | 7.96135 | + | 1.92420i | 0.507597 | + | 0.122683i | ||||
\(247\) | −0.325721 | − | 0.273312i | −0.0207251 | − | 0.0173904i | ||||
\(248\) | −8.40160 | − | 2.43931i | −0.533502 | − | 0.154897i | ||||
\(249\) | 20.0287 | + | 12.2852i | 1.26927 | + | 0.778541i | ||||
\(250\) | 0.150422 | − | 0.117255i | 0.00951354 | − | 0.00741587i | ||||
\(251\) | 1.91128 | − | 1.10348i | 0.120639 | − | 0.0696507i | −0.438466 | − | 0.898748i | \(-0.644478\pi\) |
0.559105 | + | 0.829097i | \(0.311145\pi\) | |||||||
\(252\) | 1.89654 | + | 0.973638i | 0.119471 | + | 0.0613334i | ||||
\(253\) | −4.69137 | − | 2.70857i | −0.294944 | − | 0.170286i | ||||
\(254\) | 10.8163 | − | 1.50794i | 0.678676 | − | 0.0946166i | ||||
\(255\) | 22.5926 | + | 28.4273i | 1.41481 | + | 1.78019i | ||||
\(256\) | −15.9703 | + | 0.974866i | −0.998142 | + | 0.0609291i | ||||
\(257\) | 9.84464 | − | 3.58316i | 0.614092 | − | 0.223511i | −0.0162007 | − | 0.999869i | \(-0.505157\pi\) |
0.630293 | + | 0.776358i | \(0.282935\pi\) | |||||||
\(258\) | −17.7198 | − | 7.73695i | −1.10319 | − | 0.481681i | ||||
\(259\) | 3.16971 | − | 0.558905i | 0.196956 | − | 0.0347287i | ||||
\(260\) | 10.5758 | − | 15.6048i | 0.655885 | − | 0.967766i | ||||
\(261\) | −13.3855 | + | 14.3300i | −0.828539 | + | 0.887005i | ||||
\(262\) | 12.7472 | + | 24.0380i | 0.787522 | + | 1.48507i | ||||
\(263\) | 17.2300 | − | 14.4577i | 1.06245 | − | 0.891500i | 0.0681012 | − | 0.997678i | \(-0.478306\pi\) |
0.994347 | + | 0.106178i | \(0.0338615\pi\) | |||||||
\(264\) | 1.41905 | + | 3.46244i | 0.0873365 | + | 0.213098i | ||||
\(265\) | 1.32428 | − | 7.51035i | 0.0813498 | − | 0.461357i | ||||
\(266\) | 0.0533305 | + | 0.0481259i | 0.00326990 | + | 0.00295079i | ||||
\(267\) | −22.0293 | + | 7.36060i | −1.34817 | + | 0.450461i | ||||
\(268\) | −7.97591 | + | 17.8081i | −0.487206 | + | 1.08780i | ||||
\(269\) | − | 26.3984i | − | 1.60954i | −0.593588 | − | 0.804769i | \(-0.702289\pi\) | ||
0.593588 | − | 0.804769i | \(-0.297711\pi\) | |||||||
\(270\) | 9.23524 | + | 21.3778i | 0.562039 | + | 1.30101i | ||||
\(271\) | −9.83986 | −0.597729 | −0.298865 | − | 0.954296i | \(-0.596608\pi\) | ||||
−0.298865 | + | 0.954296i | \(0.596608\pi\) | |||||||
\(272\) | −23.3095 | − | 12.5264i | −1.41334 | − | 0.759526i | ||||
\(273\) | 1.21344 | − | 1.37039i | 0.0734410 | − | 0.0829397i | ||||
\(274\) | −5.39450 | + | 5.97789i | −0.325894 | + | 0.361138i | ||||
\(275\) | 3.79310 | + | 0.668826i | 0.228733 | + | 0.0403317i | ||||
\(276\) | 24.4485 | + | 2.41907i | 1.47163 | + | 0.145611i | ||||
\(277\) | 11.4107 | + | 13.5987i | 0.685602 | + | 0.817069i | 0.990816 | − | 0.135215i | \(-0.0431725\pi\) |
−0.305214 | + | 0.952284i | \(0.598728\pi\) | |||||||
\(278\) | 5.31757 | + | 10.0276i | 0.318927 | + | 0.601417i | ||||
\(279\) | −4.20574 | − | 8.27140i | −0.251791 | − | 0.495196i | ||||
\(280\) | −1.88049 | + | 2.57029i | −0.112381 | + | 0.153604i | ||||
\(281\) | 1.76754 | + | 10.0242i | 0.105443 | + | 0.597995i | 0.991043 | + | 0.133546i | \(0.0426364\pi\) |
−0.885600 | + | 0.464449i | \(0.846252\pi\) | |||||||
\(282\) | −16.6690 | + | 1.87343i | −0.992622 | + | 0.111561i | ||||
\(283\) | 3.69352 | + | 10.1479i | 0.219557 | + | 0.603227i | 0.999751 | − | 0.0223098i | \(-0.00710203\pi\) |
−0.780194 | + | 0.625537i | \(0.784880\pi\) | |||||||
\(284\) | 23.3748 | − | 6.64670i | 1.38704 | − | 0.394409i | ||||
\(285\) | 0.115658 | + | 0.776113i | 0.00685096 | + | 0.0459729i | ||||
\(286\) | 3.18205 | − | 0.443621i | 0.188159 | − | 0.0262318i | ||||
\(287\) | −0.594043 | + | 1.02891i | −0.0350652 | + | 0.0607347i | ||||
\(288\) | −12.3375 | − | 11.6527i | −0.726995 | − | 0.686642i | ||||
\(289\) | −13.3826 | − | 23.1793i | −0.787209 | − | 1.36349i | ||||
\(290\) | −18.0095 | − | 23.1037i | −1.05755 | − | 1.35670i | ||||
\(291\) | 20.2813 | + | 0.539609i | 1.18891 | + | 0.0316324i | ||||
\(292\) | −1.91268 | + | 7.59970i | −0.111931 | + | 0.444739i | ||||
\(293\) | −2.51213 | + | 2.99384i | −0.146760 | + | 0.174902i | −0.834417 | − | 0.551134i | \(-0.814195\pi\) |
0.687656 | + | 0.726036i | \(0.258640\pi\) | |||||||
\(294\) | 11.6086 | − | 12.1956i | 0.677026 | − | 0.711260i | ||||
\(295\) | −32.6690 | − | 11.8905i | −1.90206 | − | 0.692294i | ||||
\(296\) | −25.4721 | − | 2.76269i | −1.48054 | − | 0.160578i | ||||
\(297\) | −1.65044 | + | 3.60950i | −0.0957682 | + | 0.209444i | ||||
\(298\) | 3.38070 | + | 0.121800i | 0.195839 | + | 0.00705567i | ||||
\(299\) | 7.21455 | − | 19.8218i | 0.417228 | − | 1.14633i | ||||
\(300\) | −16.9230 | + | 4.32910i | −0.977049 | + | 0.249941i | ||||
\(301\) | 1.80281 | − | 2.14850i | 0.103912 | − | 0.123838i | ||||
\(302\) | −1.19109 | − | 0.254551i | −0.0685397 | − | 0.0146478i | ||||
\(303\) | 10.5083 | − | 5.69981i | 0.603684 | − | 0.327446i | ||||
\(304\) | −0.300879 | − | 0.486280i | −0.0172566 | − | 0.0278901i | ||||
\(305\) | −11.5582 | − | 20.0195i | −0.661823 | − | 1.14631i | ||||
\(306\) | −7.21158 | − | 27.1250i | −0.412259 | − | 1.55063i | ||||
\(307\) | 10.0125 | + | 5.78071i | 0.571443 | + | 0.329923i | 0.757725 | − | 0.652574i | \(-0.226311\pi\) |
−0.186283 | + | 0.982496i | \(0.559644\pi\) | |||||||
\(308\) | −0.539939 | + | 0.0555428i | −0.0307659 | + | 0.00316485i | ||||
\(309\) | −10.2724 | − | 4.05141i | −0.584379 | − | 0.230477i | ||||
\(310\) | 13.1884 | − | 4.26904i | 0.749048 | − | 0.242465i | ||||
\(311\) | 4.64349 | − | 1.69009i | 0.263308 | − | 0.0958363i | −0.206993 | − | 0.978342i | \(-0.566368\pi\) |
0.470301 | + | 0.882506i | \(0.344145\pi\) | |||||||
\(312\) | −12.3181 | + | 7.78295i | −0.697377 | + | 0.440623i | ||||
\(313\) | −2.17391 | − | 12.3289i | −0.122877 | − | 0.696869i | −0.982546 | − | 0.186018i | \(-0.940442\pi\) |
0.859669 | − | 0.510851i | \(-0.170669\pi\) | |||||||
\(314\) | 7.20408 | − | 11.5006i | 0.406550 | − | 0.649017i | ||||
\(315\) | −3.35310 | + | 0.408851i | −0.188926 | + | 0.0230361i | ||||
\(316\) | −0.478685 | − | 0.986984i | −0.0269281 | − | 0.0555222i | ||||
\(317\) | 3.52049 | + | 4.19555i | 0.197730 | + | 0.235646i | 0.855794 | − | 0.517316i | \(-0.173069\pi\) |
−0.658064 | + | 0.752962i | \(0.728624\pi\) | |||||||
\(318\) | −3.26100 | + | 4.91055i | −0.182868 | + | 0.275370i | ||||
\(319\) | 0.866962 | − | 4.91679i | 0.0485406 | − | 0.275287i | ||||
\(320\) | 20.0808 | − | 15.4754i | 1.12255 | − | 0.865099i | ||||
\(321\) | −12.6980 | − | 2.58898i | −0.708731 | − | 0.144503i | ||||
\(322\) | −1.33864 | + | 3.30272i | −0.0745993 | + | 0.184054i | ||||
\(323\) | − | 0.945748i | − | 0.0526228i | ||||||
\(324\) | 0.0700470 | − | 17.9999i | 0.00389150 | − | 0.999992i | ||||
\(325\) | 14.9979i | 0.831935i | ||||||||
\(326\) | −14.6401 | − | 5.93380i | −0.810837 | − | 0.328643i | ||||
\(327\) | 1.60279 | + | 0.326792i | 0.0886344 | + | 0.0180716i | ||||
\(328\) | 6.82504 | − | 6.54725i | 0.376850 | − | 0.361511i | ||||
\(329\) | 0.422510 | − | 2.39617i | 0.0232937 | − | 0.132105i | ||||
\(330\) | −4.93920 | − | 3.28004i | −0.271894 | − | 0.180560i | ||||
\(331\) | −10.4571 | − | 12.4623i | −0.574776 | − | 0.684991i | 0.397828 | − | 0.917460i | \(-0.369764\pi\) |
−0.972604 | + | 0.232469i | \(0.925320\pi\) | |||||||
\(332\) | 24.4115 | − | 11.8395i | 1.33976 | − | 0.649779i | ||||
\(333\) | −16.3365 | − | 21.7172i | −0.895235 | − | 1.19010i | ||||
\(334\) | 22.9982 | + | 14.4062i | 1.25840 | + | 0.788274i | ||||
\(335\) | −5.36881 | − | 30.4480i | −0.293330 | − | 1.66355i | ||||
\(336\) | 2.12707 | − | 1.23910i | 0.116041 | − | 0.0675986i | ||||
\(337\) | −15.8064 | + | 5.75306i | −0.861030 | + | 0.313389i | −0.734529 | − | 0.678577i | \(-0.762597\pi\) |
−0.126501 | + | 0.991967i | \(0.540375\pi\) | |||||||
\(338\) | −1.80907 | − | 5.58875i | −0.0984002 | − | 0.303988i | ||||
\(339\) | −28.4289 | − | 11.2122i | −1.54405 | − | 0.608965i | ||||
\(340\) | 41.7091 | − | 4.29056i | 2.26199 | − | 0.232688i | ||||
\(341\) | 2.04604 | + | 1.18128i | 0.110799 | + | 0.0639700i | ||||
\(342\) | 0.158120 | − | 0.585550i | 0.00855012 | − | 0.0316629i | ||||
\(343\) | 2.46475 | + | 4.26907i | 0.133084 | + | 0.230508i | ||||
\(344\) | −18.5507 | + | 12.4233i | −1.00019 | + | 0.669819i | ||||
\(345\) | −34.2182 | + | 18.5604i | −1.84225 | + | 0.999257i | ||||
\(346\) | 5.57797 | − | 26.1003i | 0.299873 | − | 1.40316i | ||||
\(347\) | 9.25688 | − | 11.0319i | 0.496936 | − | 0.592225i | −0.458032 | − | 0.888936i | \(-0.651445\pi\) |
0.954967 | + | 0.296711i | \(0.0958898\pi\) | |||||||
\(348\) | 5.61158 | + | 21.9363i | 0.300812 | + | 1.17591i | ||||
\(349\) | 9.44754 | − | 25.9569i | 0.505715 | − | 1.38944i | −0.379903 | − | 0.925026i | \(-0.624043\pi\) |
0.885618 | − | 0.464414i | \(-0.153735\pi\) | |||||||
\(350\) | 0.0912288 | − | 2.53217i | 0.00487638 | − | 0.135350i | ||||
\(351\) | −14.9576 | − | 3.88841i | −0.798377 | − | 0.207548i | ||||
\(352\) | 4.25097 | + | 0.773819i | 0.226578 | + | 0.0412447i | ||||
\(353\) | 9.87864 | + | 3.59553i | 0.525787 | + | 0.191371i | 0.591256 | − | 0.806484i | \(-0.298632\pi\) |
−0.0654692 | + | 0.997855i | \(0.520854\pi\) | |||||||
\(354\) | 19.4642 | + | 18.5273i | 1.03451 | + | 0.984716i | ||||
\(355\) | −24.7509 | + | 29.4970i | −1.31364 | + | 1.56554i | ||||
\(356\) | −6.54577 | + | 26.0085i | −0.346925 | + | 1.37845i | ||||
\(357\) | 4.06986 | + | 0.108283i | 0.215400 | + | 0.00573097i | ||||
\(358\) | −6.87787 | + | 5.36135i | −0.363507 | + | 0.283356i | ||||
\(359\) | 3.54540 | + | 6.14081i | 0.187119 | + | 0.324100i | 0.944289 | − | 0.329119i | \(-0.106752\pi\) |
−0.757169 | + | 0.653218i | \(0.773418\pi\) | |||||||
\(360\) | 26.5411 | + | 4.31688i | 1.39884 | + | 0.227519i | ||||
\(361\) | −9.48978 | + | 16.4368i | −0.499462 | + | 0.865094i | ||||
\(362\) | −1.74135 | − | 12.4906i | −0.0915234 | − | 0.656489i | ||||
\(363\) | 2.65929 | + | 17.8450i | 0.139576 | + | 0.936619i | ||||
\(364\) | −0.578087 | − | 2.03299i | −0.0303000 | − | 0.106557i | ||||
\(365\) | −4.24695 | − | 11.6684i | −0.222295 | − | 0.610752i | ||||
\(366\) | 1.99562 | + | 17.7562i | 0.104313 | + | 0.928131i | ||||
\(367\) | −5.75192 | − | 32.6208i | −0.300248 | − | 1.70279i | −0.645071 | − | 0.764123i | \(-0.723172\pi\) |
0.344823 | − | 0.938668i | \(-0.387939\pi\) | |||||||
\(368\) | 17.5641 | − | 22.2773i | 0.915594 | − | 1.16128i | ||||
\(369\) | 10.0172 | + | 0.533416i | 0.521474 | + | 0.0277685i | ||||
\(370\) | 35.8663 | − | 19.0196i | 1.86460 | − | 0.988782i | ||||
\(371\) | −0.549620 | − | 0.655012i | −0.0285349 | − | 0.0340065i | ||||
\(372\) | −10.6627 | − | 1.05503i | −0.552834 | − | 0.0547006i | ||||
\(373\) | 3.52760 | + | 0.622010i | 0.182652 | + | 0.0322065i | 0.264226 | − | 0.964461i | \(-0.414884\pi\) |
−0.0815739 | + | 0.996667i | \(0.525995\pi\) | |||||||
\(374\) | 5.30532 | + | 4.78756i | 0.274332 | + | 0.247559i | ||||
\(375\) | 0.154854 | − | 0.174882i | 0.00799661 | − | 0.00903088i | ||||
\(376\) | −8.54845 | + | 17.3803i | −0.440852 | + | 0.896322i | ||||
\(377\) | 19.4410 | 1.00126 | ||||||||
\(378\) | 2.50171 | + | 0.747482i | 0.128674 | + | 0.0384463i | ||||
\(379\) | 24.5400i | 1.26053i | 0.776378 | + | 0.630267i | \(0.217055\pi\) | ||||
−0.776378 | + | 0.630267i | \(0.782945\pi\) | |||||||
\(380\) | 0.826923 | + | 0.370363i | 0.0424202 | + | 0.0189992i | ||||
\(381\) | 12.6859 | − | 4.23873i | 0.649921 | − | 0.217157i | ||||
\(382\) | −4.71675 | + | 5.22684i | −0.241330 | + | 0.267429i | ||||
\(383\) | −1.42138 | + | 8.06103i | −0.0726290 | + | 0.411899i | 0.926718 | + | 0.375758i | \(0.122618\pi\) |
−0.999347 | + | 0.0361411i | \(0.988493\pi\) | |||||||
\(384\) | −19.0111 | + | 4.75145i | −0.970159 | + | 0.242471i | ||||
\(385\) | 0.658835 | − | 0.552828i | 0.0335773 | − | 0.0281747i | ||||
\(386\) | −18.5715 | + | 9.84832i | −0.945265 | + | 0.501266i | ||||
\(387\) | −23.0693 | − | 5.34638i | −1.17268 | − | 0.271772i | ||||
\(388\) | 13.1432 | − | 19.3930i | 0.667245 | − | 0.984528i | ||||
\(389\) | −10.8773 | + | 1.91796i | −0.551500 | + | 0.0972443i | −0.442452 | − | 0.896792i | \(-0.645891\pi\) |
−0.109048 | + | 0.994036i | \(0.534780\pi\) | |||||||
\(390\) | 9.23844 | − | 21.1586i | 0.467806 | − | 1.07141i | ||||
\(391\) | 44.0887 | − | 16.0470i | 2.22966 | − | 0.811530i | ||||
\(392\) | −4.64082 | − | 18.8799i | −0.234397 | − | 0.953579i | ||||
\(393\) | 20.7336 | + | 26.0882i | 1.04587 | + | 1.31597i | ||||
\(394\) | −3.17806 | − | 22.7960i | −0.160109 | − | 1.14844i | ||||
\(395\) | 1.50524 | + | 0.869051i | 0.0757368 | + | 0.0437267i | ||||
\(396\) | 2.48430 | + | 3.85117i | 0.124841 | + | 0.193528i | ||||
\(397\) | −9.59600 | + | 5.54025i | −0.481609 | + | 0.278057i | −0.721087 | − | 0.692845i | \(-0.756357\pi\) |
0.239478 | + | 0.970902i | \(0.423024\pi\) | |||||||
\(398\) | 5.38518 | + | 6.90844i | 0.269934 | + | 0.346289i | ||||
\(399\) | 0.0749954 | + | 0.0460006i | 0.00375446 | + | 0.00230291i | ||||
\(400\) | −6.31773 | + | 19.1553i | −0.315887 | + | 0.957763i | ||||
\(401\) | 3.52648 | + | 2.95907i | 0.176104 | + | 0.147769i | 0.726579 | − | 0.687083i | \(-0.241109\pi\) |
−0.550475 | + | 0.834852i | \(0.685553\pi\) | |||||||
\(402\) | −5.61432 | + | 23.2292i | −0.280017 | + | 1.15856i | ||||
\(403\) | −3.14647 | + | 8.64485i | −0.156737 | + | 0.430631i | ||||
\(404\) | 0.993366 | − | 13.7682i | 0.0494218 | − | 0.684991i | ||||
\(405\) | 15.9090 | + | 23.6717i | 0.790524 | + | 1.17626i | ||||
\(406\) | −3.28231 | − | 0.118255i | −0.162898 | − | 0.00586889i | ||||
\(407\) | 6.50185 | + | 2.36648i | 0.322285 | + | 0.117302i | ||||
\(408\) | −30.8727 | − | 9.86111i | −1.52842 | − | 0.488198i | ||||
\(409\) | 24.2977 | + | 20.3882i | 1.20145 | + | 1.00813i | 0.999588 | + | 0.0287174i | \(0.00914229\pi\) |
0.201858 | + | 0.979415i | \(0.435302\pi\) | |||||||
\(410\) | −3.13190 | + | 14.6548i | −0.154674 | + | 0.723747i | ||||
\(411\) | −5.15627 | + | 8.40634i | −0.254340 | + | 0.414654i | ||||
\(412\) | −10.3322 | + | 7.47190i | −0.509029 | + | 0.368114i | ||||
\(413\) | −3.37572 | + | 1.94897i | −0.166108 | + | 0.0959027i | ||||
\(414\) | 29.9800 | − | 2.56414i | 1.47343 | − | 0.126020i | ||||
\(415\) | −21.4946 | + | 37.2298i | −1.05513 | + | 1.82754i | ||||
\(416\) | −0.0930240 | + | 16.8247i | −0.00456087 | + | 0.824901i | ||||
\(417\) | 8.64917 | + | 10.8829i | 0.423552 | + | 0.532936i | ||||
\(418\) | 0.0475576 | + | 0.146920i | 0.00232612 | + | 0.00718609i | ||||
\(419\) | 1.62113 | + | 4.45403i | 0.0791976 | + | 0.217594i | 0.972972 | − | 0.230923i | \(-0.0741746\pi\) |
−0.893774 | + | 0.448517i | \(0.851952\pi\) | |||||||
\(420\) | −1.68847 | + | 3.51611i | −0.0823889 | + | 0.171569i | ||||
\(421\) | −22.8626 | + | 4.03129i | −1.11425 | + | 0.196473i | −0.700316 | − | 0.713833i | \(-0.746958\pi\) |
−0.413937 | + | 0.910306i | \(0.635847\pi\) | |||||||
\(422\) | 7.88665 | − | 12.5903i | 0.383916 | − | 0.612885i | ||||
\(423\) | −19.6511 | + | 5.98991i | −0.955471 | + | 0.291239i | ||||
\(424\) | 2.74786 | + | 6.22731i | 0.133448 | + | 0.302425i | ||||
\(425\) | −25.5546 | + | 21.4428i | −1.23958 | + | 1.04013i | ||||
\(426\) | 26.6562 | − | 13.2395i | 1.29150 | − | 0.641458i | ||||
\(427\) | −2.55246 | − | 0.450068i | −0.123522 | − | 0.0217803i | ||||
\(428\) | −10.4186 | + | 10.7412i | −0.503604 | + | 0.519195i | ||||
\(429\) | 3.73208 | − | 1.24699i | 0.180186 | − | 0.0602054i | ||||
\(430\) | 13.2884 | − | 32.7855i | 0.640824 | − | 1.58106i | ||||
\(431\) | 21.0838 | 1.01557 | 0.507786 | − | 0.861483i | \(-0.330464\pi\) | ||||
0.507786 | + | 0.861483i | \(0.330464\pi\) | |||||||
\(432\) | −17.4658 | − | 11.2670i | −0.840324 | − | 0.542084i | ||||
\(433\) | −7.94589 | −0.381855 | −0.190928 | − | 0.981604i | \(-0.561150\pi\) | ||||
−0.190928 | + | 0.981604i | \(0.561150\pi\) | |||||||
\(434\) | 0.583817 | − | 1.44041i | 0.0280241 | − | 0.0691419i | ||||
\(435\) | −26.8606 | − | 23.7844i | −1.28787 | − | 1.14037i | ||||
\(436\) | 1.31508 | − | 1.35580i | 0.0629811 | − | 0.0649309i | ||||
\(437\) | 0.998482 | + | 0.176059i | 0.0477639 | + | 0.00842206i | ||||
\(438\) | −0.600557 | + | 9.57915i | −0.0286957 | + | 0.457709i | ||||
\(439\) | 27.8547 | − | 23.3729i | 1.32943 | − | 1.11553i | 0.345222 | − | 0.938521i | \(-0.387804\pi\) |
0.984210 | − | 0.177005i | \(-0.0566409\pi\) | |||||||
\(440\) | −6.26366 | + | 2.76390i | −0.298608 | + | 0.131764i | ||||
\(441\) | 11.2457 | − | 17.2850i | 0.535508 | − | 0.823096i | ||||
\(442\) | −14.7719 | + | 23.5819i | −0.702628 | + | 1.12168i | ||||
\(443\) | −9.24722 | + | 1.63053i | −0.439349 | + | 0.0774690i | −0.388947 | − | 0.921260i | \(-0.627161\pi\) |
−0.0504013 | + | 0.998729i | \(0.516050\pi\) | |||||||
\(444\) | −31.2894 | + | 2.37970i | −1.48493 | + | 0.112935i | ||||
\(445\) | −14.5343 | − | 39.9328i | −0.688994 | − | 1.89300i | ||||
\(446\) | 7.83479 | + | 24.2040i | 0.370988 | + | 1.14609i | ||||
\(447\) | 4.09793 | − | 0.610680i | 0.193825 | − | 0.0288842i | ||||
\(448\) | 0.118047 | − | 2.84003i | 0.00557718 | − | 0.134179i | ||||
\(449\) | −14.1729 | + | 24.5482i | −0.668861 | + | 1.15850i | 0.309362 | + | 0.950944i | \(0.399884\pi\) |
−0.978223 | + | 0.207557i | \(0.933449\pi\) | |||||||
\(450\) | −19.4069 | + | 9.00365i | −0.914849 | + | 0.424436i | ||||
\(451\) | −2.21188 | + | 1.27703i | −0.104153 | + | 0.0601330i | ||||
\(452\) | −28.5942 | + | 20.6784i | −1.34496 | + | 0.972630i | ||||
\(453\) | −1.49120 | − | 0.0396751i | −0.0700626 | − | 0.00186410i | ||||
\(454\) | 0.659681 | − | 3.08677i | 0.0309604 | − | 0.144869i | ||||
\(455\) | 2.56546 | + | 2.15267i | 0.120270 | + | 0.100919i | ||||
\(456\) | −0.471219 | − | 0.518119i | −0.0220668 | − | 0.0242632i | ||||
\(457\) | −21.2745 | − | 7.74327i | −0.995177 | − | 0.362215i | −0.207454 | − | 0.978245i | \(-0.566518\pi\) |
−0.787723 | + | 0.616030i | \(0.788740\pi\) | |||||||
\(458\) | 1.37231 | + | 0.0494413i | 0.0641236 | + | 0.00231024i | ||||
\(459\) | −14.7598 | − | 31.0452i | −0.688930 | − | 1.44907i | ||||
\(460\) | −3.23471 | + | 44.8334i | −0.150819 | + | 2.09037i | ||||
\(461\) | 0.00327106 | − | 0.00898717i | 0.000152348 | − | 0.000418574i | −0.939616 | − | 0.342229i | \(-0.888818\pi\) |
0.939769 | + | 0.341811i | \(0.111040\pi\) | |||||||
\(462\) | −0.637689 | + | 0.187834i | −0.0296680 | + | 0.00873883i | ||||
\(463\) | 11.6431 | + | 9.76976i | 0.541103 | + | 0.454039i | 0.871915 | − | 0.489658i | \(-0.162878\pi\) |
−0.330812 | + | 0.943697i | \(0.607323\pi\) | |||||||
\(464\) | 24.8299 | + | 8.18933i | 1.15270 | + | 0.380180i | ||||
\(465\) | 14.9235 | − | 8.09470i | 0.692062 | − | 0.375383i | ||||
\(466\) | −8.65593 | − | 11.1044i | −0.400978 | − | 0.514400i | ||||
\(467\) | −9.14473 | + | 5.27971i | −0.423168 | + | 0.244316i | −0.696432 | − | 0.717623i | \(-0.745230\pi\) |
0.273264 | + | 0.961939i | \(0.411897\pi\) | |||||||
\(468\) | −13.0885 | + | 12.1308i | −0.605018 | + | 0.560746i | ||||
\(469\) | −3.00210 | − | 1.73326i | −0.138624 | − | 0.0800346i | ||||
\(470\) | −4.23760 | − | 30.3960i | −0.195466 | − | 1.40206i | ||||
\(471\) | 6.09797 | − | 15.4615i | 0.280979 | − | 0.712430i | ||||
\(472\) | 30.1324 | − | 7.40676i | 1.38696 | − | 0.340924i | ||||
\(473\) | 5.66567 | − | 2.06214i | 0.260508 | − | 0.0948171i | ||||
\(474\) | −0.797479 | − | 1.08118i | −0.0366294 | − | 0.0496601i | ||||
\(475\) | −0.709927 | + | 0.125179i | −0.0325737 | + | 0.00574362i | ||||
\(476\) | 2.63745 | − | 3.89159i | 0.120887 | − | 0.178371i | ||||
\(477\) | −2.82647 | + | 6.64323i | −0.129415 | + | 0.304173i | ||||
\(478\) | −28.2733 | + | 14.9931i | −1.29319 | + | 0.685769i | ||||
\(479\) | −6.31972 | + | 5.30287i | −0.288755 | + | 0.242294i | −0.775646 | − | 0.631169i | \(-0.782576\pi\) |
0.486890 | + | 0.873463i | \(0.338131\pi\) | |||||||
\(480\) | 20.7121 | − | 23.1321i | 0.945376 | − | 1.05583i | ||||
\(481\) | −4.67853 | + | 26.5333i | −0.213323 | + | 1.20981i | ||||
\(482\) | 15.5634 | − | 17.2465i | 0.708892 | − | 0.785555i | ||||
\(483\) | −0.871961 | + | 4.27663i | −0.0396756 | + | 0.194593i | ||||
\(484\) | 19.0132 | + | 8.51568i | 0.864238 | + | 0.387076i | ||||
\(485\) | 37.1203i | 1.68555i | ||||||||
\(486\) | −3.94795 | − | 21.6890i | −0.179083 | − | 0.983834i | ||||
\(487\) | 8.73787 | 0.395951 | 0.197975 | − | 0.980207i | \(-0.436563\pi\) | ||||
0.197975 | + | 0.980207i | \(0.436563\pi\) | |||||||
\(488\) | 18.5140 | + | 9.10601i | 0.838088 | + | 0.412210i | ||||
\(489\) | −18.9571 | − | 3.86516i | −0.857270 | − | 0.174789i | ||||
\(490\) | 22.8703 | + | 20.6383i | 1.03317 | + | 0.932345i | ||||
\(491\) | 23.0393 | + | 4.06246i | 1.03975 | + | 0.183336i | 0.667357 | − | 0.744738i | \(-0.267426\pi\) |
0.372395 | + | 0.928074i | \(0.378537\pi\) | |||||||
\(492\) | 6.75121 | − | 9.41236i | 0.304368 | − | 0.424342i | ||||
\(493\) | 27.7952 | + | 33.1250i | 1.25183 | + | 1.49187i | ||||
\(494\) | −0.531247 | + | 0.281716i | −0.0239019 | + | 0.0126750i | ||||
\(495\) | −6.68200 | − | 2.84297i | −0.300334 | − | 0.127782i | ||||
\(496\) | −7.66021 | + | 9.71574i | −0.343954 | + | 0.436249i | ||||
\(497\) | 0.749687 | + | 4.25169i | 0.0336281 | + | 0.190714i | ||||
\(498\) | 26.7412 | − | 19.7244i | 1.19830 | − | 0.883872i | ||||
\(499\) | −6.03120 | − | 16.5706i | −0.269994 | − | 0.741801i | −0.998394 | − | 0.0566496i | \(-0.981958\pi\) |
0.728401 | − | 0.685152i | \(-0.240264\pi\) | |||||||
\(500\) | −0.0737725 | − | 0.259440i | −0.00329921 | − | 0.0116025i | ||||
\(501\) | 30.9189 | + | 12.1943i | 1.38136 | + | 0.544801i | ||||
\(502\) | −0.430955 | − | 3.09120i | −0.0192345 | − | 0.137967i | ||||
\(503\) | −16.2955 | + | 28.2247i | −0.726581 | + | 1.25848i | 0.231739 | + | 0.972778i | \(0.425559\pi\) |
−0.958320 | + | 0.285697i | \(0.907775\pi\) | |||||||
\(504\) | 2.28359 | − | 1.96848i | 0.101719 | − | 0.0876832i | ||||
\(505\) | 10.9362 | + | 18.9420i | 0.486653 | + | 0.842908i | ||||
\(506\) | −6.04215 | + | 4.70989i | −0.268606 | + | 0.209380i | ||||
\(507\) | −3.43024 | − | 6.32406i | −0.152342 | − | 0.280861i | ||||
\(508\) | 3.76950 | − | 14.9775i | 0.167245 | − | 0.664517i | ||||
\(509\) | −13.0562 | + | 15.5598i | −0.578706 | + | 0.689675i | −0.973393 | − | 0.229140i | \(-0.926409\pi\) |
0.394687 | + | 0.918816i | \(0.370853\pi\) | |||||||
\(510\) | 49.2600 | − | 14.5098i | 2.18127 | − | 0.642503i | ||||
\(511\) | −1.30827 | − | 0.476171i | −0.0578744 | − | 0.0210646i | ||||
\(512\) | −7.20608 | + | 21.4493i | −0.318467 | + | 0.947934i | ||||
\(513\) | 0.0592153 | − | 0.740473i | 0.00261442 | − | 0.0326927i | ||||
\(514\) | 0.533442 | − | 14.8063i | 0.0235291 | − | 0.653079i | ||||
\(515\) | 6.91005 | − | 18.9852i | 0.304493 | − | 0.836588i | ||||
\(516\) | −19.5536 | + | 19.1144i | −0.860799 | + | 0.841463i | ||||
\(517\) | 3.36216 | − | 4.00686i | 0.147868 | − | 0.176222i | ||||
\(518\) | 0.951294 | − | 4.45128i | 0.0417975 | − | 0.195578i | ||||
\(519\) | 0.869398 | − | 32.6765i | 0.0381623 | − | 1.43434i | ||||
\(520\) | −14.8342 | − | 22.1508i | −0.650525 | − | 0.971378i | ||||
\(521\) | −20.1680 | − | 34.9320i | −0.883576 | − | 1.53040i | −0.847337 | − | 0.531056i | \(-0.821795\pi\) |
−0.0362395 | − | 0.999343i | \(-0.511538\pi\) | |||||||
\(522\) | 11.6709 | + | 25.1561i | 0.510823 | + | 1.10105i | ||||
\(523\) | −3.36053 | − | 1.94020i | −0.146946 | − | 0.0848391i | 0.424724 | − | 0.905323i | \(-0.360371\pi\) |
−0.571670 | + | 0.820484i | \(0.693704\pi\) | |||||||
\(524\) | 38.2770 | − | 3.93751i | 1.67214 | − | 0.172011i | ||||
\(525\) | −0.457404 | − | 3.06938i | −0.0199627 | − | 0.133959i | ||||
\(526\) | −9.79599 | − | 30.2628i | −0.427125 | − | 1.31952i | ||||
\(527\) | −19.2283 | + | 6.99853i | −0.837598 | + | 0.304861i | ||||
\(528\) | 5.29187 | − | 0.0205512i | 0.230299 | − | 0.000894374i | ||||
\(529\) | 4.74033 | + | 26.8837i | 0.206101 | + | 1.16886i | ||||
\(530\) | −9.13995 | − | 5.72534i | −0.397014 | − | 0.248693i | ||||
\(531\) | 27.5869 | + | 17.9481i | 1.19717 | + | 0.778882i | ||||
\(532\) | 0.0914065 | − | 0.0443320i | 0.00396297 | − | 0.00192203i | ||||
\(533\) | −6.39274 | − | 7.61857i | −0.276900 | − | 0.329997i | ||||
\(534\) | −2.05529 | + | 32.7828i | −0.0889411 | + | 1.41865i | ||||
\(535\) | 4.11728 | − | 23.3502i | 0.178005 | − | 1.00952i | ||||
\(536\) | 19.1032 | + | 19.9137i | 0.825131 | + | 0.860140i | ||||
\(537\) | −7.08049 | + | 7.99627i | −0.305546 | + | 0.345065i | ||||
\(538\) | −34.5990 | − | 14.0234i | −1.49167 | − | 0.604593i | ||||
\(539\) | 5.25032i | 0.226147i | ||||||||
\(540\) | 32.9247 | − | 0.747797i | 1.41685 | − | 0.0321800i | ||||
\(541\) | − | 35.6307i | − | 1.53189i | −0.642909 | − | 0.765943i | \(-0.722273\pi\) | ||
0.642909 | − | 0.765943i | \(-0.277727\pi\) | |||||||
\(542\) | −5.22716 | + | 12.8966i | −0.224526 | + | 0.553957i | ||||
\(543\) | −4.89484 | − | 14.6496i | −0.210058 | − | 0.628674i | ||||
\(544\) | −28.8003 | + | 23.8962i | −1.23480 | + | 1.02454i | ||||
\(545\) | −0.519699 | + | 2.94736i | −0.0222615 | + | 0.126251i | ||||
\(546\) | −1.15149 | − | 2.31838i | −0.0492792 | − | 0.0992176i | ||||
\(547\) | 13.5809 | + | 16.1851i | 0.580679 | + | 0.692027i | 0.973786 | − | 0.227466i | \(-0.0730441\pi\) |
−0.393107 | + | 0.919493i | \(0.628600\pi\) | |||||||
\(548\) | 4.96924 | + | 10.2459i | 0.212275 | + | 0.437683i | ||||
\(549\) | 6.38060 | + | 20.9329i | 0.272317 | + | 0.893393i | ||||
\(550\) | 2.89158 | − | 4.61613i | 0.123297 | − | 0.196832i | ||||
\(551\) | 0.162263 | + | 0.920240i | 0.00691264 | + | 0.0392035i | ||||
\(552\) | 16.1582 | − | 30.7584i | 0.687738 | − | 1.30916i | ||||
\(553\) | 0.183125 | − | 0.0666519i | 0.00778726 | − | 0.00283433i | ||||
\(554\) | 23.8848 | − | 7.73145i | 1.01477 | − | 0.328478i | ||||
\(555\) | 38.9253 | − | 30.9359i | 1.65229 | − | 1.31315i | ||||
\(556\) | 15.9675 | − | 1.64256i | 0.677174 | − | 0.0696600i | ||||
\(557\) | −14.1822 | − | 8.18809i | −0.600919 | − | 0.346940i | 0.168484 | − | 0.985704i | \(-0.446113\pi\) |
−0.769403 | + | 0.638764i | \(0.779446\pi\) | |||||||
\(558\) | −13.0751 | + | 1.11829i | −0.553513 | + | 0.0473410i | ||||
\(559\) | 11.7388 | + | 20.3322i | 0.496499 | + | 0.859961i | ||||
\(560\) | 2.36980 | + | 3.83006i | 0.100142 | + | 0.161850i | ||||
\(561\) | 7.46055 | + | 4.57614i | 0.314984 | + | 0.193205i | ||||
\(562\) | 14.0772 | + | 3.00847i | 0.593811 | + | 0.126905i | ||||
\(563\) | 18.0449 | − | 21.5051i | 0.760504 | − | 0.906333i | −0.237376 | − | 0.971418i | \(-0.576287\pi\) |
0.997880 | + | 0.0650846i | \(0.0207317\pi\) | |||||||
\(564\) | −6.39953 | + | 22.8424i | −0.269469 | + | 0.961837i | ||||
\(565\) | 19.1235 | − | 52.5414i | 0.804531 | − | 2.21043i | ||||
\(566\) | 15.2624 | + | 0.549872i | 0.641525 | + | 0.0231128i | ||||
\(567\) | 3.17971 | + | 0.339603i | 0.133535 | + | 0.0142620i | ||||
\(568\) | 3.70574 | − | 34.1670i | 0.155489 | − | 1.43362i | ||||
\(569\) | −19.6797 | − | 7.16282i | −0.825015 | − | 0.300281i | −0.105204 | − | 0.994451i | \(-0.533549\pi\) |
−0.719811 | + | 0.694170i | \(0.755772\pi\) | |||||||
\(570\) | 1.07865 | + | 0.260703i | 0.0451797 | + | 0.0109196i | ||||
\(571\) | 19.7767 | − | 23.5689i | 0.827627 | − | 0.986328i | −0.172372 | − | 0.985032i | \(-0.555143\pi\) |
0.999999 | − | 0.00129565i | \(-0.000412417\pi\) | |||||||
\(572\) | 1.10895 | − | 4.40622i | 0.0463675 | − | 0.184233i | ||||
\(573\) | −4.50845 | + | 7.35019i | −0.188343 | + | 0.307059i | ||||
\(574\) | 1.03297 | + | 1.32516i | 0.0431155 | + | 0.0553113i | ||||
\(575\) | −17.8813 | − | 30.9713i | −0.745700 | − | 1.29159i | ||||
\(576\) | −21.8266 | + | 9.97997i | −0.909441 | + | 0.415832i | ||||
\(577\) | 10.8548 | − | 18.8011i | 0.451892 | − | 0.782701i | −0.546611 | − | 0.837387i | \(-0.684082\pi\) |
0.998504 | + | 0.0546859i | \(0.0174158\pi\) | |||||||
\(578\) | −37.4890 | + | 5.22647i | −1.55934 | + | 0.217392i | ||||
\(579\) | −20.1554 | + | 16.0186i | −0.837632 | + | 0.665708i | ||||
\(580\) | −39.8479 | + | 11.3309i | −1.65460 | + | 0.470490i | ||||
\(581\) | 1.64853 | + | 4.52931i | 0.0683927 | + | 0.187907i | ||||
\(582\) | 11.4811 | − | 26.2950i | 0.475909 | − | 1.08996i | ||||
\(583\) | −0.319190 | − | 1.81022i | −0.0132195 | − | 0.0749715i | ||||
\(584\) | 8.94448 | + | 6.54399i | 0.370125 | + | 0.270792i | ||||
\(585\) | 6.38394 | − | 27.5463i | 0.263943 | − | 1.13890i | ||||
\(586\) | 2.58937 | + | 4.88292i | 0.106966 | + | 0.201712i | ||||
\(587\) | −11.8328 | − | 14.1017i | −0.488390 | − | 0.582040i | 0.464417 | − | 0.885617i | \(-0.346264\pi\) |
−0.952807 | + | 0.303576i | \(0.901819\pi\) | |||||||
\(588\) | −9.81737 | − | 21.6933i | −0.404861 | − | 0.894619i | ||||
\(589\) | −0.435466 | − | 0.0767844i | −0.0179431 | − | 0.00316385i | ||||
\(590\) | −32.9389 | + | 36.5011i | −1.35607 | + | 1.50272i | ||||
\(591\) | −8.93336 | − | 26.7363i | −0.367469 | − | 1.09978i | ||||
\(592\) | −17.1523 | + | 31.9174i | −0.704955 | + | 1.31180i | ||||
\(593\) | 8.34484 | 0.342681 | 0.171341 | − | 0.985212i | \(-0.445190\pi\) | ||||
0.171341 | + | 0.985212i | \(0.445190\pi\) | |||||||
\(594\) | 3.85404 | + | 4.08060i | 0.158133 | + | 0.167429i | ||||
\(595\) | 7.44894i | 0.305377i | ||||||||
\(596\) | 1.95554 | − | 4.36621i | 0.0801022 | − | 0.178847i | ||||
\(597\) | 8.03181 | + | 7.11196i | 0.328720 | + | 0.291073i | ||||
\(598\) | −22.1469 | − | 19.9856i | −0.905655 | − | 0.817270i | ||||
\(599\) | −0.217739 | + | 1.23486i | −0.00889658 | + | 0.0504550i | −0.988933 | − | 0.148364i | \(-0.952599\pi\) |
0.980036 | + | 0.198819i | \(0.0637105\pi\) | |||||||
\(600\) | −3.31595 | + | 24.4798i | −0.135373 | + | 0.999384i | ||||
\(601\) | 10.6016 | − | 8.89580i | 0.432448 | − | 0.362867i | −0.400426 | − | 0.916329i | \(-0.631138\pi\) |
0.832875 | + | 0.553462i | \(0.186693\pi\) | |||||||
\(602\) | −1.85824 | − | 3.50418i | −0.0757362 | − | 0.142820i | ||||
\(603\) | −1.55637 | + | 29.2275i | −0.0633802 | + | 1.19024i | ||||
\(604\) | −0.966364 | + | 1.42588i | −0.0393208 | + | 0.0580183i | ||||
\(605\) | −32.5086 | + | 5.73215i | −1.32166 | + | 0.233045i | ||||
\(606\) | −1.88822 | − | 16.8005i | −0.0767035 | − | 0.682475i | ||||
\(607\) | −3.28186 | + | 1.19450i | −0.133207 | + | 0.0484832i | −0.407763 | − | 0.913088i | \(-0.633691\pi\) |
0.274557 | + | 0.961571i | \(0.411469\pi\) | |||||||
\(608\) | −0.797177 | + | 0.136024i | −0.0323298 | + | 0.00551648i | ||||
\(609\) | −3.97866 | + | 0.592907i | −0.161224 | + | 0.0240258i | ||||
\(610\) | −32.3785 | + | 4.51400i | −1.31097 | + | 0.182766i | ||||
\(611\) | 17.6388 | + | 10.1838i | 0.713590 | + | 0.411992i | ||||
\(612\) | −39.3823 | − | 4.95757i | −1.59194 | − | 0.200398i | ||||
\(613\) | 2.83466 | − | 1.63659i | 0.114491 | − | 0.0661013i | −0.441661 | − | 0.897182i | \(-0.645611\pi\) |
0.556152 | + | 0.831081i | \(0.312277\pi\) | |||||||
\(614\) | 12.8953 | − | 10.0520i | 0.520414 | − | 0.405666i | ||||
\(615\) | −0.488148 | + | 18.3471i | −0.0196840 | + | 0.739828i | ||||
\(616\) | −0.214031 | + | 0.737176i | −0.00862355 | + | 0.0297017i | ||||
\(617\) | 9.15508 | + | 7.68203i | 0.368570 | + | 0.309267i | 0.808195 | − | 0.588914i | \(-0.200444\pi\) |
−0.439626 | + | 0.898181i | \(0.644889\pi\) | |||||||
\(618\) | −10.7669 | + | 11.3114i | −0.433110 | + | 0.455010i | ||||
\(619\) | −9.55647 | + | 26.2562i | −0.384107 | + | 1.05533i | 0.585503 | + | 0.810670i | \(0.300897\pi\) |
−0.969610 | + | 0.244655i | \(0.921325\pi\) | |||||||
\(620\) | 1.41075 | − | 19.5531i | 0.0566570 | − | 0.785272i | ||||
\(621\) | 35.5239 | − | 9.80348i | 1.42553 | − | 0.393400i | ||||
\(622\) | 0.251612 | − | 6.98380i | 0.0100887 | − | 0.280025i | ||||
\(623\) | −4.47730 | − | 1.62960i | −0.179379 | − | 0.0652886i | ||||
\(624\) | 3.65704 | + | 20.2792i | 0.146399 | + | 0.811819i | ||||
\(625\) | −18.9867 | − | 15.9318i | −0.759469 | − | 0.637270i | ||||
\(626\) | −17.3137 | − | 3.70015i | −0.691993 | − | 0.147888i | ||||
\(627\) | 0.0901760 | + | 0.166250i | 0.00360128 | + | 0.00663938i | ||||
\(628\) | −11.2463 | − | 15.5514i | −0.448776 | − | 0.620569i | ||||
\(629\) | −51.8984 | + | 29.9636i | −2.06932 | + | 1.19473i | ||||
\(630\) | −1.24539 | + | 4.61194i | −0.0496174 | + | 0.183744i | ||||
\(631\) | 17.2806 | − | 29.9309i | 0.687931 | − | 1.19153i | −0.284575 | − | 0.958654i | \(-0.591853\pi\) |
0.972506 | − | 0.232877i | \(-0.0748140\pi\) | |||||||
\(632\) | −1.54788 | + | 0.103079i | −0.0615713 | + | 0.00410028i | ||||
\(633\) | 6.67573 | − | 16.9265i | 0.265337 | − | 0.672767i | ||||
\(634\) | 7.36906 | − | 2.38535i | 0.292663 | − | 0.0947342i | ||||
\(635\) | 8.36986 | + | 22.9960i | 0.332148 | + | 0.912569i | ||||
\(636\) | 4.70368 | + | 6.88263i | 0.186513 | + | 0.272914i | ||||
\(637\) | −20.1338 | + | 3.55013i | −0.797730 | + | 0.140661i | ||||
\(638\) | −5.98363 | − | 3.74820i | −0.236894 | − | 0.148392i | ||||
\(639\) | 29.1304 | − | 21.9130i | 1.15238 | − | 0.866864i | ||||
\(640\) | −9.61540 | − | 34.5397i | −0.380082 | − | 1.36530i | ||||
\(641\) | −13.4082 | + | 11.2508i | −0.529591 | + | 0.444379i | −0.867960 | − | 0.496634i | \(-0.834569\pi\) |
0.338369 | + | 0.941013i | \(0.390125\pi\) | |||||||
\(642\) | −10.1387 | + | 15.2672i | −0.400142 | + | 0.602550i | ||||
\(643\) | 23.1589 | + | 4.08353i | 0.913297 | + | 0.161039i | 0.610500 | − | 0.792016i | \(-0.290969\pi\) |
0.302797 | + | 0.953055i | \(0.402080\pi\) | |||||||
\(644\) | 3.61760 | + | 3.50897i | 0.142553 | + | 0.138273i | ||||
\(645\) | 8.65580 | − | 42.4534i | 0.340822 | − | 1.67160i | ||||
\(646\) | −1.23954 | − | 0.502403i | −0.0487692 | − | 0.0197668i | ||||
\(647\) | 43.1602 | 1.69680 | 0.848401 | − | 0.529355i | \(-0.177566\pi\) | ||||
0.848401 | + | 0.529355i | \(0.177566\pi\) | |||||||
\(648\) | −23.5543 | − | 9.65375i | −0.925300 | − | 0.379235i | ||||
\(649\) | −8.37953 | −0.328925 | ||||||||
\(650\) | 19.6570 | + | 7.96725i | 0.771012 | + | 0.312501i | ||||
\(651\) | 0.380287 | − | 1.86516i | 0.0149046 | − | 0.0731013i | ||||
\(652\) | −15.5543 | + | 16.0358i | −0.609152 | + | 0.628010i | ||||
\(653\) | 28.5513 | + | 5.03436i | 1.11730 | + | 0.197010i | 0.701654 | − | 0.712518i | \(-0.252445\pi\) |
0.415644 | + | 0.909527i | \(0.363556\pi\) | |||||||
\(654\) | 1.27975 | − | 1.92709i | 0.0500421 | − | 0.0753553i | ||||
\(655\) | −46.7057 | + | 39.1907i | −1.82494 | + | 1.53131i | ||||
\(656\) | −4.95552 | − | 12.4233i | −0.193481 | − | 0.485048i | ||||
\(657\) | 1.42278 | + | 11.6686i | 0.0555079 | + | 0.455236i | ||||
\(658\) | −2.91610 | − | 1.82667i | −0.113681 | − | 0.0712109i | ||||
\(659\) | 24.9915 | − | 4.40668i | 0.973532 | − | 0.171660i | 0.335813 | − | 0.941929i | \(-0.390989\pi\) |
0.637719 | + | 0.770269i | \(0.279878\pi\) | |||||||
\(660\) | −6.92280 | + | 4.73113i | −0.269470 | + | 0.184159i | ||||
\(661\) | 2.29708 | + | 6.31116i | 0.0893459 | + | 0.245476i | 0.976315 | − | 0.216352i | \(-0.0694160\pi\) |
−0.886969 | + | 0.461828i | \(0.847194\pi\) | |||||||
\(662\) | −21.8888 | + | 7.08535i | −0.850732 | + | 0.275380i | ||||
\(663\) | −12.5038 | + | 31.7038i | −0.485609 | + | 1.23127i | ||||
\(664\) | −2.54951 | − | 38.2844i | −0.0989402 | − | 1.48572i | ||||
\(665\) | −0.0804844 | + | 0.139403i | −0.00312105 | + | 0.00540582i | ||||
\(666\) | −37.1420 | + | 9.87474i | −1.43922 | + | 0.382639i | ||||
\(667\) | −40.1463 | + | 23.1785i | −1.55447 | + | 0.897475i | ||||
\(668\) | 31.0987 | − | 22.4896i | 1.20324 | − | 0.870149i | ||||
\(669\) | 14.8559 | + | 27.3885i | 0.574361 | + | 1.05890i | ||||
\(670\) | −42.7588 | − | 9.13808i | −1.65191 | − | 0.353035i | ||||
\(671\) | −4.26821 | − | 3.58145i | −0.164772 | − | 0.138260i | ||||
\(672\) | −0.494080 | − | 3.44608i | −0.0190596 | − | 0.132935i | ||||
\(673\) | 43.9840 | + | 16.0089i | 1.69546 | + | 0.617097i | 0.995296 | − | 0.0968855i | \(-0.0308881\pi\) |
0.700164 | + | 0.713982i | \(0.253110\pi\) | |||||||
\(674\) | −0.856486 | + | 23.7728i | −0.0329906 | + | 0.915695i | ||||
\(675\) | −21.3505 | + | 15.1886i | −0.821782 | + | 0.584611i | ||||
\(676\) | −8.28591 | − | 0.597825i | −0.318689 | − | 0.0229933i | ||||
\(677\) | 10.3174 | − | 28.3468i | 0.396529 | − | 1.08946i | −0.567434 | − | 0.823419i | \(-0.692064\pi\) |
0.963963 | − | 0.266036i | \(-0.0857141\pi\) | |||||||
\(678\) | −29.7974 | + | 31.3041i | −1.14436 | + | 1.20223i | ||||
\(679\) | 3.18824 | + | 2.67525i | 0.122354 | + | 0.102667i | ||||
\(680\) | 16.5334 | − | 56.9452i | 0.634027 | − | 2.18375i | ||||
\(681\) | 0.102820 | − | 3.86451i | 0.00394006 | − | 0.148088i | ||||
\(682\) | 2.63515 | − | 2.05412i | 0.100905 | − | 0.0786561i | ||||
\(683\) | 14.3697 | − | 8.29634i | 0.549840 | − | 0.317451i | −0.199217 | − | 0.979955i | \(-0.563840\pi\) |
0.749058 | + | 0.662505i | \(0.230507\pi\) | |||||||
\(684\) | −0.683454 | − | 0.518297i | −0.0261325 | − | 0.0198176i | ||||
\(685\) | −15.6259 | − | 9.02162i | −0.597035 | − | 0.344699i | ||||
\(686\) | 6.90458 | − | 0.962591i | 0.263618 | − | 0.0367519i | ||||
\(687\) | 1.66345 | − | 0.247889i | 0.0634644 | − | 0.00945757i | ||||
\(688\) | 6.42800 | + | 30.9131i | 0.245065 | + | 1.17855i | ||||
\(689\) | 6.72594 | − | 2.44804i | 0.256238 | − | 0.0932630i | ||||
\(690\) | 6.14863 | + | 54.7078i | 0.234074 | + | 2.08269i | ||||
\(691\) | 34.2813 | − | 6.04471i | 1.30412 | − | 0.229952i | 0.521929 | − | 0.852989i | \(-0.325213\pi\) |
0.782192 | + | 0.623038i | \(0.214102\pi\) | |||||||
\(692\) | −31.2452 | − | 21.1759i | −1.18777 | − | 0.804986i | ||||
\(693\) | −0.725752 | + | 0.369021i | −0.0275690 | + | 0.0140180i | ||||
\(694\) | −9.54151 | − | 17.9929i | −0.362191 | − | 0.683003i | ||||
\(695\) | −19.4836 | + | 16.3487i | −0.739056 | + | 0.620141i | ||||
\(696\) | 31.7318 | + | 4.29829i | 1.20279 | + | 0.162926i | ||||
\(697\) | 3.84126 | − | 21.7849i | 0.145498 | − | 0.825160i | ||||
\(698\) | −29.0016 | − | 26.1713i | −1.09773 | − | 0.990599i | ||||
\(699\) | −12.9100 | − | 11.4315i | −0.488302 | − | 0.432379i | ||||
\(700\) | −3.27032 | − | 1.46472i | −0.123607 | − | 0.0553610i | ||||
\(701\) | 11.1860i | 0.422491i | 0.977433 | + | 0.211245i | \(0.0677519\pi\) | ||||
−0.977433 | + | 0.211245i | \(0.932248\pi\) | |||||||
\(702\) | −13.0422 | + | 17.5386i | −0.492245 | + | 0.661950i | ||||
\(703\) | −1.29500 | −0.0488420 | ||||||||
\(704\) | 3.27242 | − | 5.16046i | 0.123334 | − | 0.194492i | ||||
\(705\) | −11.9117 | − | 35.6500i | −0.448619 | − | 1.34266i | ||||
\(706\) | 9.96025 | − | 11.0374i | 0.374859 | − | 0.415398i | ||||
\(707\) | 2.41509 | + | 0.425845i | 0.0908287 | + | 0.0160156i | ||||
\(708\) | 34.6226 | − | 15.6685i | 1.30120 | − | 0.588860i | ||||
\(709\) | −2.86983 | − | 3.42012i | −0.107779 | − | 0.128445i | 0.709458 | − | 0.704747i | \(-0.248940\pi\) |
−0.817237 | + | 0.576302i | \(0.804495\pi\) | |||||||
\(710\) | 25.5119 | + | 48.1093i | 0.957446 | + | 1.80551i | ||||
\(711\) | −1.20243 | − | 1.12318i | −0.0450948 | − | 0.0421224i | ||||
\(712\) | 30.6107 | + | 22.3955i | 1.14719 | + | 0.839308i | ||||
\(713\) | −3.80924 | − | 21.6033i | −0.142657 | − | 0.809050i | ||||
\(714\) | 2.30393 | − | 5.27663i | 0.0862222 | − | 0.197473i | ||||
\(715\) | 2.46233 | + | 6.76519i | 0.0920859 | + | 0.253004i | ||||
\(716\) | 3.37316 | + | 11.8626i | 0.126061 | + | 0.443324i | ||||
\(717\) | −30.6847 | + | 24.3867i | −1.14594 | + | 0.910737i | ||||
\(718\) | 9.93185 | − | 1.38463i | 0.370653 | − | 0.0516741i | ||||
\(719\) | −9.80642 | + | 16.9852i | −0.365718 | + | 0.633441i | −0.988891 | − | 0.148642i | \(-0.952510\pi\) |
0.623173 | + | 0.782084i | \(0.285843\pi\) | |||||||
\(720\) | 19.7572 | − | 32.4928i | 0.736306 | − | 1.21094i | ||||
\(721\) | −1.13262 | − | 1.96176i | −0.0421811 | − | 0.0730598i | ||||
\(722\) | 16.5017 | + | 21.1694i | 0.614128 | + | 0.787843i | ||||
\(723\) | 14.8761 | − | 24.2527i | 0.553247 | − | 0.901966i | ||||
\(724\) | −17.2958 | − | 4.35298i | −0.642793 | − | 0.161777i | ||||
\(725\) | 21.1864 | − | 25.2489i | 0.786841 | − | 0.937721i | ||||
\(726\) | 24.8012 | + | 5.99428i | 0.920459 | + | 0.222468i | ||||
\(727\) | 13.4924 | + | 4.91083i | 0.500405 | + | 0.182133i | 0.579876 | − | 0.814705i | \(-0.303101\pi\) |
−0.0794709 | + | 0.996837i | \(0.525323\pi\) | |||||||
\(728\) | −2.97163 | − | 0.322301i | −0.110136 | − | 0.0119453i | ||||
\(729\) | −9.61239 | − | 25.2310i | −0.356014 | − | 0.934481i | ||||
\(730\) | −17.5492 | − | 0.632263i | −0.649527 | − | 0.0234011i | ||||
\(731\) | −17.8603 | + | 49.0708i | −0.660588 | + | 1.81495i | ||||
\(732\) | 24.3323 | + | 6.81694i | 0.899346 | + | 0.251961i | ||||
\(733\) | 14.6154 | − | 17.4180i | 0.539833 | − | 0.643348i | −0.425317 | − | 0.905044i | \(-0.639838\pi\) |
0.965150 | + | 0.261697i | \(0.0842820\pi\) | |||||||
\(734\) | −45.8100 | − | 9.79016i | −1.69088 | − | 0.361362i | ||||
\(735\) | 32.1611 | + | 19.7269i | 1.18628 | + | 0.727639i | ||||
\(736\) | −19.8672 | − | 34.8546i | −0.732315 | − | 1.28476i | ||||
\(737\) | −3.72604 | − | 6.45370i | −0.137251 | − | 0.237725i | ||||
\(738\) | 6.02048 | − | 12.8457i | 0.221617 | − | 0.472855i | ||||
\(739\) | −8.29627 | − | 4.78985i | −0.305183 | − | 0.176198i | 0.339586 | − | 0.940575i | \(-0.389713\pi\) |
−0.644769 | + | 0.764377i | \(0.723046\pi\) | |||||||
\(740\) | −5.87502 | − | 57.1118i | −0.215970 | − | 2.09947i | ||||
\(741\) | −0.576556 | + | 0.458218i | −0.0211803 | + | 0.0168331i | ||||
\(742\) | −1.15046 | + | 0.372402i | −0.0422348 | + | 0.0136713i | ||||
\(743\) | −37.3636 | + | 13.5993i | −1.37074 | + | 0.498908i | −0.919358 | − | 0.393423i | \(-0.871291\pi\) |
−0.451381 | + | 0.892331i | \(0.649069\pi\) | |||||||
\(744\) | −7.04703 | + | 13.4146i | −0.258357 | + | 0.491802i | ||||
\(745\) | 1.31633 | + | 7.46530i | 0.0482267 | + | 0.273507i | ||||
\(746\) | 2.68918 | − | 4.29302i | 0.0984579 | − | 0.157178i | ||||
\(747\) | 27.7801 | − | 29.7403i | 1.01642 | − | 1.08814i | ||||
\(748\) | 9.09313 | − | 4.41015i | 0.332478 | − | 0.161251i | ||||
\(749\) | −1.70881 | − | 2.03648i | −0.0624385 | − | 0.0744113i | ||||
\(750\) | −0.146947 | − | 0.295860i | −0.00536576 | − | 0.0108033i | ||||
\(751\) | −7.36297 | + | 41.7575i | −0.268679 | + | 1.52375i | 0.489673 | + | 0.871906i | \(0.337116\pi\) |
−0.758351 | + | 0.651846i | \(0.773995\pi\) | |||||||
\(752\) | 18.2384 | + | 20.4369i | 0.665086 | + | 0.745255i | ||||
\(753\) | −1.21139 | − | 3.62552i | −0.0441455 | − | 0.132121i | ||||
\(754\) | 10.3275 | − | 25.4803i | 0.376105 | − | 0.927938i | ||||
\(755\) | − | 2.72930i | − | 0.0993292i | ||||||
\(756\) | 2.30865 | − | 2.88178i | 0.0839649 | − | 0.104809i | ||||
\(757\) | 0.480515i | 0.0174646i | 0.999962 | + | 0.00873230i | \(0.00277961\pi\) | ||||
−0.999962 | + | 0.00873230i | \(0.997220\pi\) | |||||||
\(758\) | 32.1633 | + | 13.0362i | 1.16822 | + | 0.473497i | ||||
\(759\) | −6.22015 | + | 7.02465i | −0.225777 | + | 0.254979i | ||||
\(760\) | 0.924697 | − | 0.887060i | 0.0335423 | − | 0.0321771i | ||||
\(761\) | −6.56885 | + | 37.2538i | −0.238121 | + | 1.35045i | 0.597820 | + | 0.801630i | \(0.296034\pi\) |
−0.835941 | + | 0.548819i | \(0.815078\pi\) | |||||||
\(762\) | 1.18358 | − | 18.8785i | 0.0428764 | − | 0.683897i | ||||
\(763\) | 0.215693 | + | 0.257053i | 0.00780860 | + | 0.00930593i | ||||
\(764\) | 4.34491 | + | 8.95862i | 0.157193 | + | 0.324112i | ||||
\(765\) | 56.0627 | − | 28.5061i | 2.02695 | − | 1.03064i | ||||
\(766\) | 9.81011 | + | 6.14513i | 0.354454 | + | 0.222033i | ||||
\(767\) | −5.66602 | − | 32.1336i | −0.204588 | − | 1.16028i | ||||
\(768\) | −3.87169 | + | 27.4410i | −0.139707 | + | 0.990193i | ||||
\(769\) | −12.1347 | + | 4.41665i | −0.437587 | + | 0.159269i | −0.551414 | − | 0.834232i | \(-0.685911\pi\) |
0.113827 | + | 0.993501i | \(0.463689\pi\) | |||||||
\(770\) | −0.374575 | − | 1.15718i | −0.0134988 | − | 0.0417017i | ||||
\(771\) | −2.67457 | − | 17.9476i | −0.0963225 | − | 0.646365i | ||||
\(772\) | 3.04208 | + | 29.5724i | 0.109487 | + | 1.06433i | ||||
\(773\) | 33.4525 | + | 19.3138i | 1.20320 | + | 0.694670i | 0.961266 | − | 0.275622i | \(-0.0888839\pi\) |
0.241937 | + | 0.970292i | \(0.422217\pi\) | |||||||
\(774\) | −19.2622 | + | 27.3956i | −0.692365 | + | 0.984716i | ||||
\(775\) | 7.79852 | + | 13.5074i | 0.280131 | + | 0.485201i | ||||
\(776\) | −18.4354 | − | 27.5281i | −0.661792 | − | 0.988202i | ||||
\(777\) | 0.148271 | − | 5.57281i | 0.00531921 | − | 0.199924i | ||||
\(778\) | −3.26449 | + | 15.2752i | −0.117038 | + | 0.547641i | ||||
\(779\) | 0.307269 | − | 0.366189i | 0.0110090 | − | 0.0131201i | ||||
\(780\) | −22.8238 | − | 23.3483i | −0.817225 | − | 0.836003i | ||||
\(781\) | −3.17428 | + | 8.72126i | −0.113585 | + | 0.312071i | ||||
\(782\) | 2.38899 | − | 66.3093i | 0.0854301 | − | 2.37122i | ||||
\(783\) | 19.6882 | + | 27.6755i | 0.703598 | + | 0.989042i | ||||
\(784\) | −27.2102 | − | 3.94696i | −0.971794 | − | 0.140963i | ||||
\(785\) | 28.5755 | + | 10.4006i | 1.01990 | + | 0.371215i | ||||
\(786\) | 45.2066 | − | 13.3158i | 1.61247 | − | 0.474959i | ||||
\(787\) | 9.35099 | − | 11.1441i | 0.333327 | − | 0.397243i | −0.573184 | − | 0.819427i | \(-0.694292\pi\) |
0.906510 | + | 0.422184i | \(0.138736\pi\) | |||||||
\(788\) | −31.5658 | − | 7.94443i | −1.12449 | − | 0.283009i | ||||
\(789\) | −18.5746 | − | 34.2444i | −0.661273 | − | 1.21913i | ||||
\(790\) | 1.93864 | − | 1.51118i | 0.0689737 | − | 0.0537654i | ||||
\(791\) | −3.13452 | − | 5.42916i | −0.111451 | − | 0.193039i | ||||
\(792\) | 6.36725 | − | 1.21022i | 0.226250 | − | 0.0430033i | ||||
\(793\) | 10.8480 | − | 18.7893i | 0.385224 | − | 0.667228i | ||||
\(794\) | 2.16371 | + | 15.5201i | 0.0767872 | + | 0.550788i | ||||
\(795\) | −12.2878 | − | 4.84627i | −0.435805 | − | 0.171880i | ||||
\(796\) | 11.9153 | − | 3.38815i | 0.422326 | − | 0.120090i | ||||
\(797\) | 10.2867 | + | 28.2624i | 0.364372 | + | 1.00110i | 0.977466 | + | 0.211094i | \(0.0677026\pi\) |
−0.613094 | + | 0.790010i | \(0.710075\pi\) | |||||||
\(798\) | 0.100130 | − | 0.0738561i | 0.00354456 | − | 0.00261448i | ||||
\(799\) | 7.86671 | + | 44.6143i | 0.278304 | + | 1.57834i | ||||
\(800\) | 21.7497 | + | 18.4561i | 0.768969 | + | 0.652520i | ||||
\(801\) | 4.86918 | + | 39.9336i | 0.172044 | + | 1.41098i | ||||
\(802\) | 5.75165 | − | 3.05005i | 0.203098 | − | 0.107701i | ||||
\(803\) | −1.92381 | − | 2.29271i | −0.0678898 | − | 0.0809080i | ||||
\(804\) | 27.4628 | + | 19.6983i | 0.968539 | + | 0.694705i | ||||
\(805\) | −7.86429 | − | 1.38669i | −0.277180 | − | 0.0488742i | ||||
\(806\) | 9.65889 | + | 8.71626i | 0.340220 | + | 0.307017i | ||||
\(807\) | −44.8016 | − | 9.13459i | −1.57709 | − | 0.321553i | ||||
\(808\) | −17.5175 | − | 8.61592i | −0.616264 | − | 0.303107i | ||||
\(809\) | 9.40912 | 0.330807 | 0.165403 | − | 0.986226i | \(-0.447107\pi\) | ||||
0.165403 | + | 0.986226i | \(0.447107\pi\) | |||||||
\(810\) | 39.4766 | − | 8.27613i | 1.38707 | − | 0.290794i | ||||
\(811\) | − | 30.9245i | − | 1.08591i | −0.839763 | − | 0.542953i | \(-0.817306\pi\) | ||
0.839763 | − | 0.542953i | \(-0.182694\pi\) | |||||||
\(812\) | −1.89863 | + | 4.23914i | −0.0666289 | + | 0.148765i | ||||
\(813\) | −3.40487 | + | 16.6996i | −0.119414 | + | 0.585679i | ||||
\(814\) | 6.55556 | − | 7.26452i | 0.229772 | − | 0.254621i | ||||
\(815\) | 6.14679 | − | 34.8602i | 0.215313 | − | 1.22110i | ||||
\(816\) | −29.3247 | + | 35.2248i | −1.02657 | + | 1.23311i | ||||
\(817\) | −0.864449 | + | 0.725358i | −0.0302432 | + | 0.0253771i | ||||
\(818\) | 39.6293 | − | 21.0151i | 1.38561 | − | 0.734776i | ||||
\(819\) | −1.90585 | − | 2.53357i | −0.0665957 | − | 0.0885301i | ||||
\(820\) | 17.5435 | + | 11.8898i | 0.612646 | + | 0.415209i | ||||
\(821\) | −22.1555 | + | 3.90662i | −0.773234 | + | 0.136342i | −0.546324 | − | 0.837574i | \(-0.683973\pi\) |
−0.226910 | + | 0.973916i | \(0.572862\pi\) | |||||||
\(822\) | 8.27864 | + | 11.2237i | 0.288751 | + | 0.391472i | ||||
\(823\) | −36.4000 | + | 13.2485i | −1.26882 | + | 0.461814i | −0.886721 | − | 0.462306i | \(-0.847022\pi\) |
−0.382103 | + | 0.924120i | \(0.624800\pi\) | |||||||
\(824\) | 4.30435 | + | 17.5111i | 0.149949 | + | 0.610027i | ||||
\(825\) | 2.44761 | − | 6.20597i | 0.0852147 | − | 0.216064i | ||||
\(826\) | 0.761159 | + | 5.45973i | 0.0264841 | + | 0.189968i | ||||
\(827\) | 3.08888 | + | 1.78336i | 0.107411 | + | 0.0620137i | 0.552743 | − | 0.833352i | \(-0.313581\pi\) |
−0.445332 | + | 0.895365i | \(0.646914\pi\) | |||||||
\(828\) | 12.5654 | − | 40.6553i | 0.436677 | − | 1.41287i | ||||
\(829\) | −0.534957 | + | 0.308858i | −0.0185798 | + | 0.0107271i | −0.509261 | − | 0.860612i | \(-0.670081\pi\) |
0.490681 | + | 0.871339i | \(0.336748\pi\) | |||||||
\(830\) | 37.3767 | + | 47.9493i | 1.29737 | + | 1.66434i | ||||
\(831\) | 27.0273 | − | 14.6599i | 0.937567 | − | 0.508547i | ||||
\(832\) | 22.0019 | + | 9.05962i | 0.762780 | + | 0.314086i | ||||
\(833\) | −34.8347 | − | 29.2298i | −1.20695 | − | 1.01275i | ||||
\(834\) | 18.8583 | − | 5.55479i | 0.653008 | − | 0.192347i | ||||
\(835\) | −20.7985 | + | 57.1434i | −0.719761 | + | 1.97753i | ||||
\(836\) | 0.217824 | + | 0.0157159i | 0.00753361 | + | 0.000543546i | ||||
\(837\) | −15.4930 | + | 4.27557i | −0.535516 | + | 0.147785i | ||||
\(838\) | 6.69885 | + | 0.241346i | 0.231408 | + | 0.00833716i | ||||
\(839\) | 7.10517 | + | 2.58607i | 0.245298 | + | 0.0892811i | 0.461743 | − | 0.887014i | \(-0.347224\pi\) |
−0.216446 | + | 0.976295i | \(0.569446\pi\) | |||||||
\(840\) | 3.71143 | + | 4.08083i | 0.128057 | + | 0.140802i | ||||
\(841\) | −10.5135 | − | 8.82187i | −0.362534 | − | 0.304202i | ||||
\(842\) | −6.86152 | + | 32.1063i | −0.236464 | + | 1.10646i | ||||
\(843\) | 17.6241 | + | 0.468909i | 0.607005 | + | 0.0161501i | ||||
\(844\) | −12.3119 | − | 17.0249i | −0.423792 | − | 0.586020i | ||||
\(845\) | 11.3996 | − | 6.58157i | 0.392159 | − | 0.226413i | ||||
\(846\) | −2.58847 | + | 28.9377i | −0.0889934 | + | 0.994900i | ||||
\(847\) | −1.85056 | + | 3.20527i | −0.0635860 | + | 0.110134i | ||||
\(848\) | 9.62155 | − | 0.293389i | 0.330405 | − | 0.0100750i | ||||
\(849\) | 18.5003 | − | 2.75695i | 0.634930 | − | 0.0946183i | ||||
\(850\) | 14.5289 | + | 44.8840i | 0.498336 | + | 1.53951i | ||||
\(851\) | −21.9730 | − | 60.3702i | −0.753223 | − | 2.06946i | ||||
\(852\) | −3.19201 | − | 41.9701i | −0.109356 | − | 1.43787i | ||||
\(853\) | −31.1657 | + | 5.49535i | −1.06709 | + | 0.188157i | −0.679501 | − | 0.733674i | \(-0.737804\pi\) |
−0.387591 | + | 0.921832i | \(0.626693\pi\) | |||||||
\(854\) | −1.94581 | + | 3.10630i | −0.0665843 | + | 0.106295i | ||||
\(855\) | 1.35719 | + | 0.0722704i | 0.0464149 | + | 0.00247160i | ||||
\(856\) | 8.54330 | + | 19.3612i | 0.292004 | + | 0.661751i | ||||
\(857\) | −2.64400 | + | 2.21858i | −0.0903172 | + | 0.0757851i | −0.686828 | − | 0.726820i | \(-0.740998\pi\) |
0.596511 | + | 0.802605i | \(0.296553\pi\) | |||||||
\(858\) | 0.348196 | − | 5.55387i | 0.0118872 | − | 0.189606i | ||||
\(859\) | −44.1188 | − | 7.77933i | −1.50531 | − | 0.265427i | −0.640671 | − | 0.767816i | \(-0.721344\pi\) |
−0.864642 | + | 0.502388i | \(0.832455\pi\) | |||||||
\(860\) | −35.9112 | − | 34.8329i | −1.22456 | − | 1.18779i | ||||
\(861\) | 1.54065 | + | 1.36420i | 0.0525051 | + | 0.0464919i | ||||
\(862\) | 11.2002 | − | 27.6335i | 0.381481 | − | 0.941201i | ||||
\(863\) | −30.0515 | −1.02297 | −0.511483 | − | 0.859294i | \(-0.670904\pi\) | ||||
−0.511483 | + | 0.859294i | \(0.670904\pi\) | |||||||
\(864\) | −24.0453 | + | 16.9063i | −0.818039 | + | 0.575163i | ||||
\(865\) | 59.8069 | 2.03349 | ||||||||
\(866\) | −4.22104 | + | 10.4143i | −0.143437 | + | 0.353892i | ||||
\(867\) | −43.9691 | + | 14.6913i | −1.49327 | + | 0.498943i | ||||
\(868\) | −1.57774 | − | 1.53036i | −0.0535518 | − | 0.0519438i | ||||
\(869\) | 0.412569 | + | 0.0727470i | 0.0139954 | + | 0.00246777i | ||||
\(870\) | −45.4419 | + | 22.5700i | −1.54063 | + | 0.765195i | ||||
\(871\) | 22.2290 | − | 18.6524i | 0.753201 | − | 0.632011i | ||||
\(872\) | −1.07837 | − | 2.44384i | −0.0365182 | − | 0.0827590i | ||||
\(873\) | 7.93369 | − | 34.2334i | 0.268515 | − | 1.15862i | ||||
\(874\) | 0.761169 | − | 1.21513i | 0.0257469 | − | 0.0411025i | ||||
\(875\) | 0.0471900 | − | 0.00832087i | 0.00159531 | − | 0.000281297i | ||||
\(876\) | 12.2359 | + | 5.87579i | 0.413412 | + | 0.198524i | ||||
\(877\) | 9.66967 | + | 26.5672i | 0.326522 | + | 0.897111i | 0.988985 | + | 0.148016i | \(0.0472888\pi\) |
−0.662463 | + | 0.749094i | \(0.730489\pi\) | |||||||
\(878\) | −15.8366 | − | 48.9240i | −0.534458 | − | 1.65110i | ||||
\(879\) | 4.21168 | + | 5.29938i | 0.142057 | + | 0.178744i | ||||
\(880\) | 0.295101 | + | 9.67770i | 0.00994785 | + | 0.326235i | ||||
\(881\) | −11.0974 | + | 19.2212i | −0.373880 | + | 0.647579i | −0.990159 | − | 0.139949i | \(-0.955306\pi\) |
0.616279 | + | 0.787528i | \(0.288639\pi\) | |||||||
\(882\) | −16.6806 | − | 23.9213i | −0.561666 | − | 0.805473i | ||||
\(883\) | −24.4063 | + | 14.0910i | −0.821337 | + | 0.474199i | −0.850877 | − | 0.525365i | \(-0.823929\pi\) |
0.0295406 | + | 0.999564i | \(0.490596\pi\) | |||||||
\(884\) | 23.0605 | + | 31.8881i | 0.775607 | + | 1.07251i | ||||
\(885\) | −31.4842 | + | 51.3292i | −1.05833 | + | 1.72541i | ||||
\(886\) | −2.77528 | + | 12.9860i | −0.0932373 | + | 0.436274i | ||||
\(887\) | 42.2633 | + | 35.4631i | 1.41906 | + | 1.19073i | 0.951840 | + | 0.306594i | \(0.0991894\pi\) |
0.467221 | + | 0.884140i | \(0.345255\pi\) | |||||||
\(888\) | −13.5027 | + | 42.2736i | −0.453122 | + | 1.41861i | ||||
\(889\) | 2.57833 | + | 0.938436i | 0.0864744 | + | 0.0314741i | ||||
\(890\) | −60.0589 | − | 2.16380i | −2.01318 | − | 0.0725307i | ||||
\(891\) | 5.55471 | + | 4.05001i | 0.186090 | + | 0.135680i | ||||
\(892\) | 35.8850 | + | 2.58909i | 1.20152 | + | 0.0866891i | ||||
\(893\) | −0.334828 | + | 0.919933i | −0.0112046 | + | 0.0307844i | ||||
\(894\) | 1.37653 | − | 5.69536i | 0.0460380 | − | 0.190481i | ||||
\(895\) | −14.9695 | − | 12.5609i | −0.500376 | − | 0.419866i | ||||
\(896\) | −3.65958 | − | 1.66341i | −0.122258 | − | 0.0555706i | ||||
\(897\) | −31.1438 | − | 19.1030i | −1.03986 | − | 0.637829i | ||||
\(898\) | 24.6451 | + | 31.6163i | 0.822417 | + | 1.05505i | ||||
\(899\) | 17.5089 | − | 10.1088i | 0.583956 | − | 0.337147i | ||||
\(900\) | 1.49124 | + | 30.2186i | 0.0497079 | + | 1.00729i | ||||
\(901\) | 13.7874 | + | 7.96014i | 0.459324 | + | 0.265191i | ||||
\(902\) | 0.498736 | + | 3.57739i | 0.0166061 | + | 0.119114i | ||||
\(903\) | −3.02248 | − | 3.80305i | −0.100582 | − | 0.126558i | ||||
\(904\) | 11.9123 | + | 48.4618i | 0.396196 | + | 1.61181i | ||||
\(905\) | 26.5555 | − | 9.66542i | 0.882736 | − | 0.321290i | ||||
\(906\) | −0.844159 | + | 1.93336i | −0.0280453 | + | 0.0642316i | ||||
\(907\) | 48.8333 | − | 8.61062i | 1.62148 | − | 0.285911i | 0.712164 | − | 0.702013i | \(-0.247715\pi\) |
0.909318 | + | 0.416102i | \(0.136604\pi\) | |||||||
\(908\) | −3.69523 | − | 2.50437i | −0.122631 | − | 0.0831106i | ||||
\(909\) | −6.03719 | − | 19.8062i | −0.200241 | − | 0.656931i | ||||
\(910\) | 4.18423 | − | 2.21886i | 0.138706 | − | 0.0735546i | ||||
\(911\) | −6.56378 | + | 5.50767i | −0.217468 | + | 0.182477i | −0.745013 | − | 0.667050i | \(-0.767557\pi\) |
0.527545 | + | 0.849527i | \(0.323112\pi\) | |||||||
\(912\) | −0.929395 | + | 0.342365i | −0.0307753 | + | 0.0113369i | ||||
\(913\) | −1.79929 | + | 10.2043i | −0.0595476 | + | 0.337711i | ||||
\(914\) | −21.4502 | + | 23.7699i | −0.709509 | + | 0.786240i | ||||
\(915\) | −37.9752 | + | 12.6886i | −1.25542 | + | 0.419472i | ||||
\(916\) | 0.793801 | − | 1.77235i | 0.0262279 | − | 0.0585600i | ||||
\(917\) | 6.83600i | 0.225745i | ||||||||
\(918\) | −48.5302 | + | 2.85301i | −1.60173 | + | 0.0941633i | ||||
\(919\) | 1.83837 | 0.0606424 | 0.0303212 | − | 0.999540i | \(-0.490347\pi\) | ||||
0.0303212 | + | 0.999540i | \(0.490347\pi\) | |||||||
\(920\) | 57.0426 | + | 28.0561i | 1.88064 | + | 0.924984i | ||||
\(921\) | 13.2752 | − | 14.9922i | 0.437434 | − | 0.494011i | ||||
\(922\) | −0.0100414 | − | 0.00906141i | −0.000330695 | − | 0.000298422i | ||||
\(923\) | −35.5904 | − | 6.27555i | −1.17147 | − | 0.206562i | ||||
\(924\) | −0.0925704 | + | 0.935568i | −0.00304534 | + | 0.0307779i | ||||
\(925\) | 29.3615 | + | 34.9916i | 0.965399 | + | 1.15052i | ||||
\(926\) | 18.9898 | − | 10.0702i | 0.624045 | − | 0.330926i | ||||
\(927\) | −10.4303 | + | 16.0318i | −0.342577 | + | 0.526554i | ||||
\(928\) | 23.9236 | − | 28.1930i | 0.785330 | − | 0.925479i | ||||
\(929\) | 1.61499 | + | 9.15907i | 0.0529861 | + | 0.300499i | 0.999772 | − | 0.0213656i | \(-0.00680140\pi\) |
−0.946786 | + | 0.321865i | \(0.895690\pi\) | |||||||
\(930\) | −2.68159 | − | 23.8596i | −0.0879327 | − | 0.782387i | ||||
\(931\) | −0.336091 | − | 0.923403i | −0.0110149 | − | 0.0302633i | ||||
\(932\) | −19.1522 | + | 5.44599i | −0.627350 | + | 0.178389i | ||||
\(933\) | −1.26153 | − | 8.46544i | −0.0413008 | − | 0.277146i | ||||
\(934\) | 2.06196 | + | 14.7902i | 0.0674693 | + | 0.483951i | ||||
\(935\) | −8.00660 | + | 13.8678i | −0.261844 | + | 0.453527i | ||||
\(936\) | 8.94628 | + | 23.5986i | 0.292418 | + | 0.771346i | ||||
\(937\) | −14.0107 | − | 24.2672i | −0.457710 | − | 0.792776i | 0.541130 | − | 0.840939i | \(-0.317997\pi\) |
−0.998839 | + | 0.0481628i | \(0.984663\pi\) | |||||||
\(938\) | −3.86648 | + | 3.01395i | −0.126245 | + | 0.0984089i | ||||
\(939\) | −21.6760 | − | 0.576715i | −0.707369 | − | 0.0188204i | ||||
\(940\) | −42.0896 | − | 10.5930i | −1.37281 | − | 0.345507i | ||||
\(941\) | 1.46274 | − | 1.74323i | 0.0476840 | − | 0.0568276i | −0.741675 | − | 0.670759i | \(-0.765968\pi\) |
0.789359 | + | 0.613931i | \(0.210413\pi\) | |||||||
\(942\) | −17.0253 | − | 16.2058i | −0.554714 | − | 0.528014i | ||||
\(943\) | 22.2845 | + | 8.11089i | 0.725682 | + | 0.264127i | ||||
\(944\) | 6.29936 | − | 43.4276i | 0.205027 | − | 1.41345i | ||||
\(945\) | −0.466394 | + | 5.83214i | −0.0151718 | + | 0.189720i | ||||
\(946\) | 0.307000 | − | 8.52117i | 0.00998143 | − | 0.277047i | ||||
\(947\) | 7.38132 | − | 20.2800i | 0.239861 | − | 0.659011i | −0.760097 | − | 0.649809i | \(-0.774849\pi\) |
0.999958 | − | 0.00920194i | \(-0.00292911\pi\) | |||||||
\(948\) | −1.84068 | + | 0.470869i | −0.0597826 | + | 0.0152931i | ||||
\(949\) | 7.49119 | − | 8.92765i | 0.243174 | − | 0.289804i | ||||
\(950\) | −0.213064 | + | 0.996964i | −0.00691270 | + | 0.0323458i | ||||
\(951\) | 8.33860 | − | 4.52296i | 0.270398 | − | 0.146667i | ||||
\(952\) | −3.69943 | − | 5.52408i | −0.119899 | − | 0.179036i | ||||
\(953\) | 12.7377 | + | 22.0623i | 0.412613 | + | 0.714667i | 0.995175 | − | 0.0981199i | \(-0.0312829\pi\) |
−0.582562 | + | 0.812787i | \(0.697950\pi\) | |||||||
\(954\) | 7.20546 | + | 7.23355i | 0.233285 | + | 0.234195i | ||||
\(955\) | −13.6627 | − | 7.88817i | −0.442115 | − | 0.255255i | ||||
\(956\) | 4.63126 | + | 45.0211i | 0.149786 | + | 1.45609i | ||||
\(957\) | −8.04445 | − | 3.17270i | −0.260040 | − | 0.102559i | ||||
\(958\) | 3.59302 | + | 11.0999i | 0.116085 | + | 0.358623i | ||||
\(959\) | −1.90102 | + | 0.691915i | −0.0613871 | + | 0.0223431i | ||||
\(960\) | −19.3152 | − | 39.4347i | −0.623397 | − | 1.27275i | ||||
\(961\) | −3.72178 | − | 21.1072i | −0.120057 | − | 0.680879i | ||||
\(962\) | 32.2905 | + | 20.2270i | 1.04109 | + | 0.652145i | ||||
\(963\) | −8.78770 | + | 20.6543i | −0.283180 | + | 0.665575i | ||||
\(964\) | −14.3365 | − | 29.5598i | −0.461746 | − | 0.952058i | ||||
\(965\) | −30.2783 | − | 36.0843i | −0.974694 | − | 1.16160i | ||||
\(966\) | 5.14196 | + | 3.41468i | 0.165440 | + | 0.109866i | ||||
\(967\) | 5.80797 | − | 32.9387i | 0.186772 | − | 1.05924i | −0.736886 | − | 0.676017i | \(-0.763704\pi\) |
0.923658 | − | 0.383219i | \(-0.125184\pi\) | |||||||
\(968\) | 21.2613 | − | 20.3960i | 0.683366 | − | 0.655551i | ||||
\(969\) | −1.60506 | − | 0.327256i | −0.0515620 | − | 0.0105130i | ||||
\(970\) | 48.6517 | + | 19.7192i | 1.56211 | + | 0.633144i | ||||
\(971\) | 15.7949i | 0.506881i | 0.967351 | + | 0.253441i | \(0.0815622\pi\) | ||||
−0.967351 | + | 0.253441i | \(0.918438\pi\) | |||||||
\(972\) | −30.5239 | − | 6.34734i | −0.979056 | − | 0.203591i | ||||
\(973\) | 2.85169i | 0.0914209i | ||||||||
\(974\) | 4.64176 | − | 11.4523i | 0.148732 | − | 0.366955i | ||||
\(975\) | 25.4535 | + | 5.18970i | 0.815164 | + | 0.166204i | ||||
\(976\) | 21.7698 | − | 19.4280i | 0.696836 | − | 0.621875i | ||||
\(977\) | 4.73244 | − | 26.8390i | 0.151404 | − | 0.858655i | −0.810596 | − | 0.585606i | \(-0.800857\pi\) |
0.962000 | − | 0.273049i | \(-0.0880322\pi\) | |||||||
\(978\) | −15.1363 | + | 22.7929i | −0.484007 | + | 0.728836i | ||||
\(979\) | −6.58387 | − | 7.84635i | −0.210421 | − | 0.250770i | ||||
\(980\) | 39.1989 | − | 19.0114i | 1.25216 | − | 0.607296i | ||||
\(981\) | 1.10922 | − | 2.60707i | 0.0354147 | − | 0.0832372i | ||||
\(982\) | 17.5635 | − | 28.0384i | 0.560474 | − | 0.894742i | ||||
\(983\) | 10.5208 | + | 59.6663i | 0.335561 | + | 1.90306i | 0.421626 | + | 0.906770i | \(0.361460\pi\) |
−0.0860648 | + | 0.996290i | \(0.527429\pi\) | |||||||
\(984\) | −8.74990 | − | 13.8485i | −0.278937 | − | 0.441475i | ||||
\(985\) | 48.4653 | − | 17.6399i | 1.54423 | − | 0.562055i | ||||
\(986\) | 58.1807 | − | 18.8330i | 1.85285 | − | 0.599763i | ||||
\(987\) | −3.92043 | − | 1.54620i | −0.124789 | − | 0.0492161i | ||||
\(988\) | 0.0870201 | + | 0.845933i | 0.00276848 | + | 0.0269127i | ||||
\(989\) | −48.4821 | − | 27.9912i | −1.54164 | − | 0.890067i | ||||
\(990\) | −7.27577 | + | 7.24751i | −0.231239 | + | 0.230341i | ||||
\(991\) | −17.4648 | − | 30.2498i | −0.554786 | − | 0.960918i | −0.997920 | − | 0.0644624i | \(-0.979467\pi\) |
0.443134 | − | 0.896455i | \(-0.353867\pi\) | |||||||
\(992\) | 8.66464 | + | 15.2011i | 0.275103 | + | 0.482635i | ||||
\(993\) | −24.7687 | + | 13.4348i | −0.786010 | + | 0.426342i | ||||
\(994\) | 5.97072 | + | 1.27602i | 0.189380 | + | 0.0404729i | ||||
\(995\) | −12.6168 | + | 15.0361i | −0.399978 | + | 0.476676i | ||||
\(996\) | −11.6462 | − | 45.5265i | −0.369024 | − | 1.44256i | ||||
\(997\) | 3.61162 | − | 9.92284i | 0.114381 | − | 0.314259i | −0.869272 | − | 0.494334i | \(-0.835412\pi\) |
0.983653 | + | 0.180075i | \(0.0576340\pi\) | |||||||
\(998\) | −24.9221 | − | 0.897893i | −0.788896 | − | 0.0284223i | ||||
\(999\) | −42.5099 | + | 20.2105i | −1.34495 | + | 0.639431i |
(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 | 216.2.t.a.85.24 | yes | 204 | |
3.2 | odd | 2 | 648.2.t.a.469.11 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.625.15 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.625.20 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.85.15 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.469.20 | 204 | |||
27.7 | even | 9 | inner | 216.2.t.a.61.15 | ✓ | 204 | |
27.20 | odd | 18 | 648.2.t.a.181.20 | 204 | |||
108.7 | odd | 18 | 864.2.bf.a.817.20 | 204 | |||
216.61 | even | 18 | inner | 216.2.t.a.61.24 | yes | 204 | |
216.101 | odd | 18 | 648.2.t.a.181.11 | 204 | |||
216.115 | odd | 18 | 864.2.bf.a.817.15 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.61.15 | ✓ | 204 | 27.7 | even | 9 | inner | |
216.2.t.a.61.24 | yes | 204 | 216.61 | even | 18 | inner | |
216.2.t.a.85.15 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.85.24 | yes | 204 | 1.1 | even | 1 | trivial | |
648.2.t.a.181.11 | 204 | 216.101 | odd | 18 | |||
648.2.t.a.181.20 | 204 | 27.20 | odd | 18 | |||
648.2.t.a.469.11 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.469.20 | 204 | 24.5 | odd | 2 | |||
864.2.bf.a.625.15 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.625.20 | 204 | 8.3 | odd | 2 | |||
864.2.bf.a.817.15 | 204 | 216.115 | odd | 18 | |||
864.2.bf.a.817.20 | 204 | 108.7 | odd | 18 |