Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 230.9 |
Dual form | 230.2.j.a.179.1 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.281733 | − | 0.959493i | −0.199215 | − | 0.678464i | ||||
\(3\) | −1.95972 | + | 1.69811i | −1.13145 | + | 0.980403i | −0.999940 | − | 0.0109124i | \(-0.996526\pi\) |
−0.131505 | + | 0.991316i | \(0.541981\pi\) | |||||||
\(4\) | −0.841254 | + | 0.540641i | −0.420627 | + | 0.270320i | ||||
\(5\) | −0.0903172 | − | 2.23424i | −0.0403911 | − | 0.999184i | ||||
\(6\) | 2.18144 | + | 1.40193i | 0.890569 | + | 0.572334i | ||||
\(7\) | 0.748675 | + | 0.341908i | 0.282972 | + | 0.129229i | 0.551845 | − | 0.833946i | \(-0.313924\pi\) |
−0.268873 | + | 0.963176i | \(0.586651\pi\) | |||||||
\(8\) | 0.755750 | + | 0.654861i | 0.267198 | + | 0.231528i | ||||
\(9\) | 0.529991 | − | 3.68617i | 0.176664 | − | 1.22872i | ||||
\(10\) | −2.11830 | + | 0.716118i | −0.669864 | + | 0.226456i | ||||
\(11\) | 4.65913 | + | 1.36805i | 1.40478 | + | 0.412481i | 0.894323 | − | 0.447421i | \(-0.147658\pi\) |
0.510458 | + | 0.859902i | \(0.329476\pi\) | |||||||
\(12\) | 0.730556 | − | 2.48804i | 0.210893 | − | 0.718237i | ||||
\(13\) | 1.40114 | − | 0.639880i | 0.388607 | − | 0.177471i | −0.211524 | − | 0.977373i | \(-0.567843\pi\) |
0.600131 | + | 0.799902i | \(0.295115\pi\) | |||||||
\(14\) | 0.117133 | − | 0.814675i | 0.0313050 | − | 0.217731i | ||||
\(15\) | 3.97098 | + | 4.22513i | 1.02530 | + | 1.09092i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 2.11270 | − | 3.28743i | 0.512406 | − | 0.797320i | −0.484592 | − | 0.874740i | \(-0.661032\pi\) |
0.996999 | + | 0.0774206i | \(0.0246684\pi\) | |||||||
\(18\) | −3.68617 | + | 0.529991i | −0.868839 | + | 0.124920i | ||||
\(19\) | 4.15438 | − | 2.66986i | 0.953081 | − | 0.612508i | 0.0310058 | − | 0.999519i | \(-0.490129\pi\) |
0.922075 | + | 0.387011i | \(0.126493\pi\) | |||||||
\(20\) | 1.28390 | + | 1.83074i | 0.287089 | + | 0.409365i | ||||
\(21\) | −2.04779 | + | 0.601286i | −0.446865 | + | 0.131211i | ||||
\(22\) | − | 4.85583i | − | 1.03527i | ||||||
\(23\) | 4.76216 | − | 0.567295i | 0.992979 | − | 0.118289i | ||||
\(24\) | −2.59308 | −0.529311 | ||||||||
\(25\) | −4.98369 | + | 0.403581i | −0.996737 | + | 0.0807162i | ||||
\(26\) | −1.00871 | − | 1.16411i | −0.197824 | − | 0.228301i | ||||
\(27\) | 1.01510 | + | 1.57953i | 0.195357 | + | 0.303981i | ||||
\(28\) | −0.814675 | + | 0.117133i | −0.153959 | + | 0.0221360i | ||||
\(29\) | 3.23027 | + | 2.07597i | 0.599846 | + | 0.385498i | 0.805037 | − | 0.593224i | \(-0.202145\pi\) |
−0.205191 | + | 0.978722i | \(0.565782\pi\) | |||||||
\(30\) | 2.93522 | − | 5.00049i | 0.535896 | − | 0.912960i | ||||
\(31\) | −5.44700 | + | 6.28618i | −0.978311 | + | 1.12903i | 0.0133182 | + | 0.999911i | \(0.495761\pi\) |
−0.991629 | + | 0.129120i | \(0.958785\pi\) | |||||||
\(32\) | −0.989821 | − | 0.142315i | −0.174977 | − | 0.0251579i | ||||
\(33\) | −11.4537 | + | 5.23073i | −1.99383 | + | 0.910552i | ||||
\(34\) | −3.74949 | − | 1.10095i | −0.643032 | − | 0.188811i | ||||
\(35\) | 0.696288 | − | 1.70360i | 0.117694 | − | 0.287961i | ||||
\(36\) | 1.54704 | + | 3.38754i | 0.257840 | + | 0.564590i | ||||
\(37\) | −4.74986 | − | 0.682927i | −0.780873 | − | 0.112273i | −0.259661 | − | 0.965700i | \(-0.583611\pi\) |
−0.521212 | + | 0.853427i | \(0.674520\pi\) | |||||||
\(38\) | −3.73214 | − | 3.23391i | −0.605432 | − | 0.524610i | ||||
\(39\) | −1.65926 | + | 3.63328i | −0.265695 | + | 0.581790i | ||||
\(40\) | 1.39486 | − | 1.74767i | 0.220547 | − | 0.276331i | ||||
\(41\) | 0.536960 | + | 3.73464i | 0.0838590 | + | 0.583252i | 0.987816 | + | 0.155628i | \(0.0497402\pi\) |
−0.903957 | + | 0.427624i | \(0.859351\pi\) | |||||||
\(42\) | 1.15386 | + | 1.79544i | 0.178044 | + | 0.277042i | ||||
\(43\) | 0.999683 | − | 0.866230i | 0.152450 | − | 0.132099i | −0.575296 | − | 0.817945i | \(-0.695113\pi\) |
0.727746 | + | 0.685846i | \(0.240568\pi\) | |||||||
\(44\) | −4.65913 | + | 1.36805i | −0.702391 | + | 0.206241i | ||||
\(45\) | −8.28367 | − | 0.851205i | −1.23486 | − | 0.126890i | ||||
\(46\) | −1.88597 | − | 4.40943i | −0.278071 | − | 0.650136i | ||||
\(47\) | − | 6.16285i | − | 0.898944i | −0.893295 | − | 0.449472i | \(-0.851612\pi\) | ||
0.893295 | − | 0.449472i | \(-0.148388\pi\) | |||||||
\(48\) | 0.730556 | + | 2.48804i | 0.105447 | + | 0.359118i | ||||
\(49\) | −4.14041 | − | 4.77829i | −0.591488 | − | 0.682613i | ||||
\(50\) | 1.79130 | + | 4.66811i | 0.253328 | + | 0.660170i | ||||
\(51\) | 1.44210 | + | 10.0301i | 0.201935 | + | 1.40449i | ||||
\(52\) | −0.832770 | + | 1.29582i | −0.115484 | + | 0.179697i | ||||
\(53\) | 5.78267 | + | 2.64086i | 0.794311 | + | 0.362750i | 0.770884 | − | 0.636976i | \(-0.219815\pi\) |
0.0234273 | + | 0.999726i | \(0.492542\pi\) | |||||||
\(54\) | 1.22956 | − | 1.41899i | 0.167322 | − | 0.193100i | ||||
\(55\) | 2.63575 | − | 10.5332i | 0.355404 | − | 1.42030i | ||||
\(56\) | 0.341908 | + | 0.748675i | 0.0456894 | + | 0.100046i | ||||
\(57\) | −3.60772 | + | 12.2868i | −0.477854 | + | 1.62742i | ||||
\(58\) | 1.08181 | − | 3.68429i | 0.142048 | − | 0.483771i | ||||
\(59\) | 0.542072 | + | 1.18697i | 0.0705718 | + | 0.154531i | 0.941630 | − | 0.336648i | \(-0.109293\pi\) |
−0.871059 | + | 0.491179i | \(0.836566\pi\) | |||||||
\(60\) | −5.62488 | − | 1.40753i | −0.726169 | − | 0.181711i | ||||
\(61\) | 8.65101 | − | 9.98380i | 1.10765 | − | 1.27829i | 0.150527 | − | 0.988606i | \(-0.451903\pi\) |
0.957121 | − | 0.289688i | \(-0.0935517\pi\) | |||||||
\(62\) | 7.56614 | + | 3.45534i | 0.960901 | + | 0.438829i | ||||
\(63\) | 1.65712 | − | 2.57853i | 0.208778 | − | 0.324865i | ||||
\(64\) | 0.142315 | + | 0.989821i | 0.0177894 | + | 0.123728i | ||||
\(65\) | −1.55619 | − | 3.07270i | −0.193022 | − | 0.381122i | ||||
\(66\) | 8.24572 | + | 9.51607i | 1.01498 | + | 1.17135i | ||||
\(67\) | 4.59599 | + | 15.6525i | 0.561490 | + | 1.91226i | 0.361010 | + | 0.932562i | \(0.382432\pi\) |
0.200480 | + | 0.979698i | \(0.435750\pi\) | |||||||
\(68\) | 3.90778i | 0.473888i | ||||||||
\(69\) | −8.36918 | + | 9.19840i | −1.00753 | + | 1.10736i | ||||
\(70\) | −1.83076 | − | 0.188123i | −0.218818 | − | 0.0224851i | ||||
\(71\) | −9.62477 | + | 2.82609i | −1.14225 | + | 0.335395i | −0.797511 | − | 0.603304i | \(-0.793851\pi\) |
−0.344739 | + | 0.938699i | \(0.612032\pi\) | |||||||
\(72\) | 2.81447 | − | 2.43875i | 0.331688 | − | 0.287410i | ||||
\(73\) | −3.34358 | − | 5.20271i | −0.391336 | − | 0.608931i | 0.588556 | − | 0.808456i | \(-0.299697\pi\) |
−0.979893 | + | 0.199525i | \(0.936060\pi\) | |||||||
\(74\) | 0.682927 | + | 4.74986i | 0.0793887 | + | 0.552160i | ||||
\(75\) | 9.08131 | − | 9.25374i | 1.04862 | − | 1.06853i | ||||
\(76\) | −2.05145 | + | 4.49206i | −0.235318 | + | 0.515274i | ||||
\(77\) | 3.02043 | + | 2.61722i | 0.344210 | + | 0.298260i | ||||
\(78\) | 3.95357 | + | 0.568438i | 0.447654 | + | 0.0643629i | ||||
\(79\) | −2.95556 | − | 6.47177i | −0.332526 | − | 0.728131i | 0.667335 | − | 0.744757i | \(-0.267435\pi\) |
−0.999862 | + | 0.0166262i | \(0.994707\pi\) | |||||||
\(80\) | −2.06986 | − | 0.845983i | −0.231417 | − | 0.0945838i | ||||
\(81\) | 6.04814 | + | 1.77590i | 0.672016 | + | 0.197322i | ||||
\(82\) | 3.43208 | − | 1.56738i | 0.379010 | − | 0.173088i | ||||
\(83\) | 11.8009 | + | 1.69671i | 1.29531 | + | 0.186238i | 0.755278 | − | 0.655405i | \(-0.227502\pi\) |
0.540035 | + | 0.841643i | \(0.318411\pi\) | |||||||
\(84\) | 1.39763 | − | 1.61295i | 0.152494 | − | 0.175988i | ||||
\(85\) | −7.53574 | − | 4.42338i | −0.817366 | − | 0.479783i | ||||
\(86\) | −1.11278 | − | 0.715143i | −0.119995 | − | 0.0771159i | ||||
\(87\) | −9.85565 | + | 1.41703i | −1.05664 | + | 0.151921i | ||||
\(88\) | 2.62526 | + | 4.08498i | 0.279854 | + | 0.435461i | ||||
\(89\) | 3.58733 | + | 4.14000i | 0.380256 | + | 0.438839i | 0.913324 | − | 0.407234i | \(-0.133506\pi\) |
−0.533068 | + | 0.846072i | \(0.678961\pi\) | |||||||
\(90\) | 1.51705 | + | 8.18794i | 0.159912 | + | 0.863084i | ||||
\(91\) | 1.26778 | 0.132899 | ||||||||
\(92\) | −3.69948 | + | 3.05186i | −0.385698 | + | 0.318178i | ||||
\(93\) | − | 21.5688i | − | 2.23658i | ||||||
\(94\) | −5.91321 | + | 1.73627i | −0.609901 | + | 0.179083i | ||||
\(95\) | −6.34033 | − | 9.04077i | −0.650504 | − | 0.927563i | ||||
\(96\) | 2.18144 | − | 1.40193i | 0.222642 | − | 0.143084i | ||||
\(97\) | −11.2508 | + | 1.61762i | −1.14235 | + | 0.164245i | −0.687403 | − | 0.726276i | \(-0.741250\pi\) |
−0.454943 | + | 0.890520i | \(0.650340\pi\) | |||||||
\(98\) | −3.41825 | + | 5.31890i | −0.345295 | + | 0.537290i | ||||
\(99\) | 7.51215 | − | 16.4493i | 0.755000 | − | 1.65322i | ||||
\(100\) | 3.97435 | − | 3.03390i | 0.397435 | − | 0.303390i | ||||
\(101\) | 1.24825 | − | 8.68177i | 0.124206 | − | 0.863868i | −0.828503 | − | 0.559984i | \(-0.810807\pi\) |
0.952709 | − | 0.303884i | \(-0.0982837\pi\) | |||||||
\(102\) | 9.21748 | − | 4.20948i | 0.912666 | − | 0.416801i | ||||
\(103\) | −0.711708 | + | 2.42386i | −0.0701267 | + | 0.238830i | −0.987096 | − | 0.160127i | \(-0.948810\pi\) |
0.916970 | + | 0.398957i | \(0.130628\pi\) | |||||||
\(104\) | 1.47794 | + | 0.433964i | 0.144924 | + | 0.0425536i | ||||
\(105\) | 1.52837 | + | 4.52096i | 0.149154 | + | 0.441200i | ||||
\(106\) | 0.904718 | − | 6.29245i | 0.0878739 | − | 0.611177i | ||||
\(107\) | −10.6370 | − | 9.21698i | −1.02831 | − | 0.891039i | −0.0342037 | − | 0.999415i | \(-0.510889\pi\) |
−0.994110 | + | 0.108376i | \(0.965435\pi\) | |||||||
\(108\) | −1.70792 | − | 0.779980i | −0.164345 | − | 0.0750536i | ||||
\(109\) | −0.000631598 | 0 | 0.000405903i | −6.04961e−5 | 0 | 3.88785e-5i | 0.540611 | − | 0.841273i | \(-0.318193\pi\) |
−0.540671 | + | 0.841234i | \(0.681830\pi\) | |||||||
\(110\) | −10.8491 | + | 0.438565i | −1.03442 | + | 0.0418155i | ||||
\(111\) | 10.4681 | − | 6.72743i | 0.993587 | − | 0.638540i | ||||
\(112\) | 0.622021 | − | 0.538985i | 0.0587755 | − | 0.0509293i | ||||
\(113\) | −1.28201 | − | 4.36614i | −0.120602 | − | 0.410732i | 0.876957 | − | 0.480570i | \(-0.159570\pi\) |
−0.997558 | + | 0.0698376i | \(0.977752\pi\) | |||||||
\(114\) | 12.8055 | 1.19934 | ||||||||
\(115\) | −1.69758 | − | 10.5886i | −0.158300 | − | 0.987391i | ||||
\(116\) | −3.83983 | −0.356519 | ||||||||
\(117\) | −1.61611 | − | 5.50398i | −0.149410 | − | 0.508843i | ||||
\(118\) | 0.986172 | − | 0.854523i | 0.0907845 | − | 0.0786652i | ||||
\(119\) | 2.70573 | − | 1.73887i | 0.248034 | − | 0.159402i | ||||
\(120\) | 0.234200 | + | 5.79358i | 0.0213794 | + | 0.528879i | ||||
\(121\) | 10.5822 | + | 6.80076i | 0.962018 | + | 0.618251i | ||||
\(122\) | −12.0167 | − | 5.48782i | −1.08794 | − | 0.496844i | ||||
\(123\) | −7.39411 | − | 6.40703i | −0.666704 | − | 0.577702i | ||||
\(124\) | 1.18375 | − | 8.23314i | 0.106304 | − | 0.739358i | ||||
\(125\) | 1.35181 | + | 11.0983i | 0.120910 | + | 0.992664i | ||||
\(126\) | −2.94095 | − | 0.863541i | −0.262001 | − | 0.0769304i | ||||
\(127\) | −5.13644 | + | 17.4931i | −0.455785 | + | 1.55226i | 0.336241 | + | 0.941776i | \(0.390844\pi\) |
−0.792027 | + | 0.610487i | \(0.790974\pi\) | |||||||
\(128\) | 0.909632 | − | 0.415415i | 0.0804009 | − | 0.0367178i | ||||
\(129\) | −0.488147 | + | 3.39514i | −0.0429790 | + | 0.298925i | ||||
\(130\) | −2.50980 | + | 2.35884i | −0.220124 | + | 0.206884i | ||||
\(131\) | −8.14822 | + | 17.8421i | −0.711914 | + | 1.55887i | 0.112988 | + | 0.993596i | \(0.463958\pi\) |
−0.824901 | + | 0.565277i | \(0.808769\pi\) | |||||||
\(132\) | 6.80751 | − | 10.5927i | 0.592518 | − | 0.921976i | ||||
\(133\) | 4.02313 | − | 0.578438i | 0.348849 | − | 0.0501570i | ||||
\(134\) | 13.7236 | − | 8.81965i | 1.18554 | − | 0.761902i | ||||
\(135\) | 3.43738 | − | 2.41065i | 0.295842 | − | 0.207475i | ||||
\(136\) | 3.74949 | − | 1.10095i | 0.321516 | − | 0.0944056i | ||||
\(137\) | 17.6600i | 1.50880i | 0.656416 | + | 0.754399i | \(0.272072\pi\) | ||||
−0.656416 | + | 0.754399i | \(0.727928\pi\) | |||||||
\(138\) | 11.1837 | + | 5.43868i | 0.952018 | + | 0.462971i | ||||
\(139\) | 0.370257 | 0.0314048 | 0.0157024 | − | 0.999877i | \(-0.495002\pi\) | ||||
0.0157024 | + | 0.999877i | \(0.495002\pi\) | |||||||
\(140\) | 0.335282 | + | 1.80960i | 0.0283365 | + | 0.152939i | ||||
\(141\) | 10.4652 | + | 12.0775i | 0.881327 | + | 1.01711i | ||||
\(142\) | 5.42322 | + | 8.43870i | 0.455107 | + | 0.708160i | ||||
\(143\) | 7.40349 | − | 1.06446i | 0.619111 | − | 0.0890148i | ||||
\(144\) | −3.13289 | − | 2.01339i | −0.261074 | − | 0.167782i | ||||
\(145\) | 4.34647 | − | 7.40471i | 0.360955 | − | 0.614927i | ||||
\(146\) | −4.04997 | + | 4.67392i | −0.335178 | + | 0.386816i | ||||
\(147\) | 16.2281 | + | 2.33325i | 1.33847 | + | 0.192443i | ||||
\(148\) | 4.36506 | − | 1.99345i | 0.358805 | − | 0.163861i | ||||
\(149\) | −0.922676 | − | 0.270922i | −0.0755886 | − | 0.0221948i | 0.243720 | − | 0.969846i | \(-0.421632\pi\) |
−0.319308 | + | 0.947651i | \(0.603451\pi\) | |||||||
\(150\) | −11.4374 | − | 6.10637i | −0.933860 | − | 0.498583i | ||||
\(151\) | −8.48941 | − | 18.5892i | −0.690859 | − | 1.51277i | −0.850714 | − | 0.525629i | \(-0.823830\pi\) |
0.159855 | − | 0.987140i | \(-0.448897\pi\) | |||||||
\(152\) | 4.88806 | + | 0.702797i | 0.396474 | + | 0.0570043i | ||||
\(153\) | −10.9983 | − | 9.53010i | −0.889162 | − | 0.770463i | ||||
\(154\) | 1.66025 | − | 3.63544i | 0.133787 | − | 0.292952i | ||||
\(155\) | 14.5368 | + | 11.6022i | 1.16762 | + | 0.931910i | ||||
\(156\) | −0.568438 | − | 3.95357i | −0.0455114 | − | 0.316539i | ||||
\(157\) | −10.4562 | − | 16.2702i | −0.834498 | − | 1.29850i | −0.952206 | − | 0.305457i | \(-0.901191\pi\) |
0.117708 | − | 0.993048i | \(-0.462445\pi\) | |||||||
\(158\) | −5.37694 | + | 4.65915i | −0.427766 | + | 0.370662i | ||||
\(159\) | −15.8169 | + | 4.64426i | −1.25436 | + | 0.368314i | ||||
\(160\) | −0.228568 | + | 2.22436i | −0.0180699 | + | 0.175851i | ||||
\(161\) | 3.75927 | + | 1.20350i | 0.296272 | + | 0.0948493i | ||||
\(162\) | − | 6.30348i | − | 0.495248i | ||||||
\(163\) | 5.64839 | + | 19.2366i | 0.442416 | + | 1.50673i | 0.815403 | + | 0.578894i | \(0.196515\pi\) |
−0.372987 | + | 0.927837i | \(0.621666\pi\) | |||||||
\(164\) | −2.47082 | − | 2.85147i | −0.192938 | − | 0.222663i | ||||
\(165\) | 12.7212 | + | 25.1179i | 0.990342 | + | 1.95543i | ||||
\(166\) | −1.69671 | − | 11.8009i | −0.131690 | − | 0.915924i | ||||
\(167\) | 6.42298 | − | 9.99436i | 0.497025 | − | 0.773387i | −0.498599 | − | 0.866833i | \(-0.666152\pi\) |
0.995624 | + | 0.0934462i | \(0.0297883\pi\) | |||||||
\(168\) | −1.94138 | − | 0.886596i | −0.149780 | − | 0.0684024i | ||||
\(169\) | −6.95944 | + | 8.03162i | −0.535341 | + | 0.617817i | ||||
\(170\) | −2.12114 | + | 8.47670i | −0.162684 | + | 0.650133i | ||||
\(171\) | −7.63977 | − | 16.7288i | −0.584228 | − | 1.27928i | ||||
\(172\) | −0.372667 | + | 1.26919i | −0.0284156 | + | 0.0967747i | ||||
\(173\) | 1.47201 | − | 5.01320i | 0.111915 | − | 0.381147i | −0.884419 | − | 0.466693i | \(-0.845445\pi\) |
0.996334 | + | 0.0855462i | \(0.0272635\pi\) | |||||||
\(174\) | 4.13629 | + | 9.05720i | 0.313571 | + | 0.686625i | ||||
\(175\) | −3.86915 | − | 1.40181i | −0.292480 | − | 0.105967i | ||||
\(176\) | 3.17989 | − | 3.66979i | 0.239693 | − | 0.276621i | ||||
\(177\) | −3.07792 | − | 1.40564i | −0.231350 | − | 0.105654i | ||||
\(178\) | 2.96163 | − | 4.60839i | 0.221984 | − | 0.345413i | ||||
\(179\) | −0.489136 | − | 3.40201i | −0.0365597 | − | 0.254278i | 0.963342 | − | 0.268275i | \(-0.0864536\pi\) |
−0.999902 | + | 0.0139968i | \(0.995545\pi\) | |||||||
\(180\) | 7.42886 | − | 3.76241i | 0.553715 | − | 0.280434i | ||||
\(181\) | −2.33877 | − | 2.69908i | −0.173839 | − | 0.200621i | 0.662143 | − | 0.749377i | \(-0.269647\pi\) |
−0.835983 | + | 0.548756i | \(0.815102\pi\) | |||||||
\(182\) | −0.357175 | − | 1.21643i | −0.0264756 | − | 0.0901675i | ||||
\(183\) | 34.2558i | 2.53226i | ||||||||
\(184\) | 3.97050 | + | 2.68982i | 0.292709 | + | 0.198296i | ||||
\(185\) | −1.09683 | + | 10.6740i | −0.0806406 | + | 0.784770i | ||||
\(186\) | −20.6951 | + | 6.07662i | −1.51744 | + | 0.445559i | ||||
\(187\) | 14.3407 | − | 12.4263i | 1.04870 | − | 0.908702i | ||||
\(188\) | 3.33189 | + | 5.18452i | 0.243003 | + | 0.378120i | ||||
\(189\) | 0.219927 | + | 1.52963i | 0.0159974 | + | 0.111264i | ||||
\(190\) | −6.88828 | + | 8.63058i | −0.499728 | + | 0.626128i | ||||
\(191\) | −2.15349 | + | 4.71548i | −0.155821 | + | 0.341200i | −0.971401 | − | 0.237444i | \(-0.923691\pi\) |
0.815580 | + | 0.578644i | \(0.196418\pi\) | |||||||
\(192\) | −1.95972 | − | 1.69811i | −0.141431 | − | 0.122550i | ||||
\(193\) | 16.4760 | + | 2.36889i | 1.18597 | + | 0.170516i | 0.706933 | − | 0.707281i | \(-0.250078\pi\) |
0.479033 | + | 0.877797i | \(0.340987\pi\) | |||||||
\(194\) | 4.72182 | + | 10.3393i | 0.339007 | + | 0.742321i | ||||
\(195\) | 8.26748 | + | 3.37905i | 0.592047 | + | 0.241979i | ||||
\(196\) | 6.06648 | + | 1.78128i | 0.433320 | + | 0.127234i | ||||
\(197\) | 0.639181 | − | 0.291904i | 0.0455398 | − | 0.0207973i | −0.392515 | − | 0.919746i | \(-0.628395\pi\) |
0.438055 | + | 0.898948i | \(0.355668\pi\) | |||||||
\(198\) | −17.8994 | − | 2.57355i | −1.27206 | − | 0.182894i | ||||
\(199\) | −16.5808 | + | 19.1353i | −1.17538 | + | 1.35646i | −0.254284 | + | 0.967130i | \(0.581840\pi\) |
−0.921097 | + | 0.389333i | \(0.872706\pi\) | |||||||
\(200\) | −4.03071 | − | 2.95861i | −0.285014 | − | 0.209206i | ||||
\(201\) | −35.5865 | − | 22.8701i | −2.51008 | − | 1.61313i | ||||
\(202\) | −8.68177 | + | 1.24825i | −0.610847 | + | 0.0878266i | ||||
\(203\) | 1.70863 | + | 2.65868i | 0.119922 | + | 0.186603i | ||||
\(204\) | −6.63583 | − | 7.65816i | −0.464601 | − | 0.536178i | ||||
\(205\) | 8.29559 | − | 1.53700i | 0.579389 | − | 0.107349i | ||||
\(206\) | 2.52618 | 0.176008 | ||||||||
\(207\) | 0.432758 | − | 17.8548i | 0.0300788 | − | 1.24099i | ||||
\(208\) | − | 1.54034i | − | 0.106803i | ||||||
\(209\) | 23.0083 | − | 6.75585i | 1.59152 | − | 0.467312i | ||||
\(210\) | 3.90723 | − | 2.74016i | 0.269625 | − | 0.189089i | ||||
\(211\) | −3.12062 | + | 2.00550i | −0.214832 | + | 0.138064i | −0.643632 | − | 0.765335i | \(-0.722573\pi\) |
0.428799 | + | 0.903400i | \(0.358937\pi\) | |||||||
\(212\) | −6.29245 | + | 0.904718i | −0.432167 | + | 0.0621363i | ||||
\(213\) | 14.0629 | − | 21.8822i | 0.963571 | − | 1.49935i | ||||
\(214\) | −5.84685 | + | 12.8028i | −0.399682 | + | 0.875182i | ||||
\(215\) | −2.02566 | − | 2.15530i | −0.138149 | − | 0.146990i | ||||
\(216\) | −0.267209 | + | 1.85848i | −0.0181813 | + | 0.126454i | ||||
\(217\) | −6.22733 | + | 2.84393i | −0.422739 | + | 0.193058i | ||||
\(218\) | −0.000211520 | 0 | 0.000720370i | −1.43259e−5 | 0 | 4.87896e-5i | ||||
\(219\) | 15.3873 | + | 4.51811i | 1.03977 | + | 0.305305i | ||||
\(220\) | 3.47735 | + | 10.2861i | 0.234443 | + | 0.693487i | ||||
\(221\) | 0.856636 | − | 5.95804i | 0.0576236 | − | 0.400781i | ||||
\(222\) | −9.40413 | − | 8.14872i | −0.631164 | − | 0.546906i | ||||
\(223\) | −14.6384 | − | 6.68515i | −0.980262 | − | 0.447670i | −0.140177 | − | 0.990126i | \(-0.544767\pi\) |
−0.840084 | + | 0.542456i | \(0.817495\pi\) | |||||||
\(224\) | −0.692396 | − | 0.444976i | −0.0462626 | − | 0.0297312i | ||||
\(225\) | −1.15364 | + | 18.5846i | −0.0769095 | + | 1.23897i | ||||
\(226\) | −3.82810 | + | 2.46017i | −0.254641 | + | 0.163648i | ||||
\(227\) | −2.71777 | + | 2.35496i | −0.180385 | + | 0.156304i | −0.740373 | − | 0.672196i | \(-0.765351\pi\) |
0.559988 | + | 0.828501i | \(0.310806\pi\) | |||||||
\(228\) | −3.60772 | − | 12.2868i | −0.238927 | − | 0.813711i | ||||
\(229\) | −16.9260 | −1.11850 | −0.559251 | − | 0.828998i | \(-0.688911\pi\) | ||||
−0.559251 | + | 0.828998i | \(0.688911\pi\) | |||||||
\(230\) | −9.68141 | + | 4.61197i | −0.638374 | + | 0.304104i | ||||
\(231\) | −10.3635 | −0.681869 | ||||||||
\(232\) | 1.08181 | + | 3.68429i | 0.0710240 | + | 0.241885i | ||||
\(233\) | −17.4851 | + | 15.1509i | −1.14548 | + | 0.992568i | −0.145490 | + | 0.989360i | \(0.546476\pi\) |
−0.999995 | + | 0.00320806i | \(0.998979\pi\) | |||||||
\(234\) | −4.82572 | + | 3.10130i | −0.315467 | + | 0.202738i | ||||
\(235\) | −13.7693 | + | 0.556611i | −0.898210 | + | 0.0363093i | ||||
\(236\) | −1.09775 | − | 0.705478i | −0.0714572 | − | 0.0459227i | ||||
\(237\) | 16.7818 | + | 7.66401i | 1.09010 | + | 0.497831i | ||||
\(238\) | −2.43072 | − | 2.10623i | −0.157560 | − | 0.136527i | ||||
\(239\) | 1.86242 | − | 12.9534i | 0.120470 | − | 0.837888i | −0.836555 | − | 0.547883i | \(-0.815434\pi\) |
0.957025 | − | 0.290005i | \(-0.0936570\pi\) | |||||||
\(240\) | 5.49291 | − | 1.85695i | 0.354566 | − | 0.119866i | ||||
\(241\) | 0.584949 | + | 0.171757i | 0.0376799 | + | 0.0110638i | 0.300518 | − | 0.953776i | \(-0.402840\pi\) |
−0.262838 | + | 0.964840i | \(0.584659\pi\) | |||||||
\(242\) | 3.54394 | − | 12.0695i | 0.227813 | − | 0.775859i | ||||
\(243\) | −19.9921 | + | 9.13008i | −1.28249 | + | 0.585695i | ||||
\(244\) | −1.88004 | + | 13.0760i | −0.120357 | + | 0.837105i | ||||
\(245\) | −10.3019 | + | 9.68225i | −0.658165 | + | 0.618576i | ||||
\(246\) | −4.06434 | + | 8.89966i | −0.259133 | + | 0.567422i | ||||
\(247\) | 4.11249 | − | 6.39916i | 0.261671 | − | 0.407169i | ||||
\(248\) | −8.23314 | + | 1.18375i | −0.522805 | + | 0.0751680i | ||||
\(249\) | −26.0076 | + | 16.7141i | −1.64816 | + | 1.05921i | ||||
\(250\) | 10.2679 | − | 4.42381i | 0.649399 | − | 0.279786i | ||||
\(251\) | −10.6634 | + | 3.13106i | −0.673068 | + | 0.197630i | −0.600369 | − | 0.799723i | \(-0.704979\pi\) |
−0.0726991 | + | 0.997354i | \(0.523161\pi\) | |||||||
\(252\) | 3.06511i | 0.193084i | ||||||||
\(253\) | 22.9636 | + | 3.87175i | 1.44371 | + | 0.243415i | ||||
\(254\) | 18.2316 | 1.14395 | ||||||||
\(255\) | 22.2793 | − | 4.12790i | 1.39519 | − | 0.258499i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −4.48404 | − | 6.97731i | −0.279707 | − | 0.435233i | 0.672766 | − | 0.739855i | \(-0.265106\pi\) |
−0.952473 | + | 0.304623i | \(0.901470\pi\) | |||||||
\(258\) | 3.39514 | − | 0.488147i | 0.211372 | − | 0.0303907i | ||||
\(259\) | −3.32260 | − | 2.13531i | −0.206456 | − | 0.132682i | ||||
\(260\) | 2.97038 | + | 1.74358i | 0.184215 | + | 0.108132i | ||||
\(261\) | 9.36439 | − | 10.8071i | 0.579641 | − | 0.668942i | ||||
\(262\) | 19.4150 | + | 2.79146i | 1.19946 | + | 0.172457i | ||||
\(263\) | −3.66223 | + | 1.67248i | −0.225823 | + | 0.103130i | −0.525114 | − | 0.851032i | \(-0.675977\pi\) |
0.299291 | + | 0.954162i | \(0.403250\pi\) | |||||||
\(264\) | −12.0815 | − | 3.54745i | −0.743566 | − | 0.218331i | ||||
\(265\) | 5.37804 | − | 13.1584i | 0.330371 | − | 0.808315i | ||||
\(266\) | −1.68845 | − | 3.69720i | −0.103526 | − | 0.226690i | ||||
\(267\) | −14.0603 | − | 2.02157i | −0.860478 | − | 0.123718i | ||||
\(268\) | −12.3288 | − | 10.6830i | −0.753101 | − | 0.652565i | ||||
\(269\) | 6.96519 | − | 15.2516i | 0.424675 | − | 0.929909i | −0.569486 | − | 0.822001i | \(-0.692858\pi\) |
0.994161 | − | 0.107908i | \(-0.0344151\pi\) | |||||||
\(270\) | −3.28142 | − | 2.61898i | −0.199701 | − | 0.159386i | ||||
\(271\) | 1.43396 | + | 9.97339i | 0.0871067 | + | 0.605840i | 0.985883 | + | 0.167433i | \(0.0535479\pi\) |
−0.898777 | + | 0.438407i | \(0.855543\pi\) | |||||||
\(272\) | −2.11270 | − | 3.28743i | −0.128102 | − | 0.199330i | ||||
\(273\) | −2.48449 | + | 2.15283i | −0.150368 | + | 0.130295i | ||||
\(274\) | 16.9447 | − | 4.97541i | 1.02367 | − | 0.300575i | ||||
\(275\) | −23.7718 | − | 4.93757i | −1.43349 | − | 0.297747i | ||||
\(276\) | 2.06757 | − | 12.2629i | 0.124453 | − | 0.738140i | ||||
\(277\) | 20.5207i | 1.23297i | 0.787367 | + | 0.616485i | \(0.211444\pi\) | ||||
−0.787367 | + | 0.616485i | \(0.788556\pi\) | |||||||
\(278\) | −0.104313 | − | 0.355259i | −0.00625630 | − | 0.0213070i | ||||
\(279\) | 20.2851 | + | 23.4102i | 1.21444 | + | 1.40153i | ||||
\(280\) | 1.64184 | − | 0.831524i | 0.0981188 | − | 0.0496931i | ||||
\(281\) | −3.52636 | − | 24.5264i | −0.210365 | − | 1.46312i | −0.771940 | − | 0.635695i | \(-0.780713\pi\) |
0.561575 | − | 0.827426i | \(-0.310196\pi\) | |||||||
\(282\) | 8.63986 | − | 13.4439i | 0.514496 | − | 0.800571i | ||||
\(283\) | 8.67802 | + | 3.96312i | 0.515855 | + | 0.235583i | 0.656293 | − | 0.754506i | \(-0.272124\pi\) |
−0.140438 | + | 0.990090i | \(0.544851\pi\) | |||||||
\(284\) | 6.56897 | − | 7.58100i | 0.389797 | − | 0.449850i | ||||
\(285\) | 27.7775 | + | 6.95082i | 1.64540 | + | 0.411731i | ||||
\(286\) | −3.10715 | − | 6.80371i | −0.183730 | − | 0.402312i | ||||
\(287\) | −0.874895 | + | 2.97962i | −0.0516434 | + | 0.175881i | ||||
\(288\) | −1.04919 | + | 3.57323i | −0.0618243 | + | 0.210554i | ||||
\(289\) | 0.718363 | + | 1.57300i | 0.0422566 | + | 0.0925291i | ||||
\(290\) | −8.32930 | − | 2.08426i | −0.489114 | − | 0.122392i | ||||
\(291\) | 19.3015 | − | 22.2752i | 1.13148 | − | 1.30579i | ||||
\(292\) | 5.62560 | + | 2.56912i | 0.329213 | + | 0.150347i | ||||
\(293\) | 9.35142 | − | 14.5511i | 0.546316 | − | 0.850084i | −0.452822 | − | 0.891601i | \(-0.649583\pi\) |
0.999138 | + | 0.0415169i | \(0.0132190\pi\) | |||||||
\(294\) | −2.33325 | − | 16.2281i | −0.136078 | − | 0.946442i | ||||
\(295\) | 2.60303 | − | 1.31832i | 0.151554 | − | 0.0767558i | ||||
\(296\) | −3.14248 | − | 3.62662i | −0.182653 | − | 0.210793i | ||||
\(297\) | 2.56863 | + | 8.74796i | 0.149047 | + | 0.507608i | ||||
\(298\) | 0.961629i | 0.0557057i | ||||||||
\(299\) | 6.30946 | − | 3.84207i | 0.364886 | − | 0.222193i | ||||
\(300\) | −2.63673 | + | 12.6945i | −0.152232 | + | 0.732916i | ||||
\(301\) | 1.04461 | − | 0.306725i | 0.0602102 | − | 0.0176793i | ||||
\(302\) | −15.4445 | + | 13.3827i | −0.888730 | + | 0.770089i | ||||
\(303\) | 12.2964 | + | 19.1335i | 0.706407 | + | 1.09919i | ||||
\(304\) | −0.702797 | − | 4.88806i | −0.0403082 | − | 0.280349i | ||||
\(305\) | −23.0876 | − | 18.4268i | −1.32199 | − | 1.05511i | ||||
\(306\) | −6.04548 | + | 13.2378i | −0.345597 | + | 0.756752i | ||||
\(307\) | 7.44626 | + | 6.45222i | 0.424980 | + | 0.368248i | 0.840933 | − | 0.541139i | \(-0.182007\pi\) |
−0.415953 | + | 0.909386i | \(0.636552\pi\) | |||||||
\(308\) | −3.95592 | − | 0.568776i | −0.225410 | − | 0.0324090i | ||||
\(309\) | −2.72122 | − | 5.95864i | −0.154805 | − | 0.338975i | ||||
\(310\) | 7.03672 | − | 17.2167i | 0.399659 | − | 0.977842i | ||||
\(311\) | 8.06552 | + | 2.36825i | 0.457354 | + | 0.134291i | 0.502291 | − | 0.864699i | \(-0.332491\pi\) |
−0.0449372 | + | 0.998990i | \(0.514309\pi\) | |||||||
\(312\) | −3.63328 | + | 1.65926i | −0.205694 | + | 0.0939372i | ||||
\(313\) | −18.7663 | − | 2.69819i | −1.06074 | − | 0.152511i | −0.410207 | − | 0.911992i | \(-0.634544\pi\) |
−0.650529 | + | 0.759481i | \(0.725453\pi\) | |||||||
\(314\) | −12.6653 | + | 14.6165i | −0.714744 | + | 0.824859i | ||||
\(315\) | −5.91074 | − | 3.46953i | −0.333033 | − | 0.195486i | ||||
\(316\) | 5.98528 | + | 3.84650i | 0.336698 | + | 0.216383i | ||||
\(317\) | 18.9449 | − | 2.72386i | 1.06405 | − | 0.152987i | 0.412016 | − | 0.911177i | \(-0.364825\pi\) |
0.652035 | + | 0.758189i | \(0.273916\pi\) | |||||||
\(318\) | 8.91226 | + | 13.8678i | 0.499775 | + | 0.777665i | ||||
\(319\) | 12.2102 | + | 14.0914i | 0.683642 | + | 0.788965i | ||||
\(320\) | 2.19865 | − | 0.407364i | 0.122908 | − | 0.0227723i | ||||
\(321\) | 36.4969 | 2.03706 | ||||||||
\(322\) | 0.0956431 | − | 3.94606i | 0.00532998 | − | 0.219905i | ||||
\(323\) | − | 19.2979i | − | 1.07376i | ||||||
\(324\) | −6.04814 | + | 1.77590i | −0.336008 | + | 0.0986609i | ||||
\(325\) | −6.72461 | + | 3.75444i | −0.373014 | + | 0.208259i | ||||
\(326\) | 16.8661 | − | 10.8392i | 0.934126 | − | 0.600327i | ||||
\(327\) | 0.00192702 | 0.000277064i | 0.000106565 | 1.53217e-5i | ||||||
\(328\) | −2.03986 | + | 3.17408i | −0.112632 | + | 0.175259i | ||||
\(329\) | 2.10713 | − | 4.61397i | 0.116170 | − | 0.254376i | ||||
\(330\) | 20.5165 | − | 19.2824i | 1.12940 | − | 1.06146i | ||||
\(331\) | −4.43315 | + | 30.8332i | −0.243668 | + | 1.69475i | 0.389736 | + | 0.920927i | \(0.372566\pi\) |
−0.633404 | + | 0.773821i | \(0.718343\pi\) | |||||||
\(332\) | −10.8448 | + | 4.95266i | −0.595187 | + | 0.271813i | ||||
\(333\) | −5.03477 | + | 17.1469i | −0.275904 | + | 0.939642i | ||||
\(334\) | −11.3991 | − | 3.34707i | −0.623730 | − | 0.183144i | ||||
\(335\) | 34.5564 | − | 11.6823i | 1.88802 | − | 0.638270i | ||||
\(336\) | −0.303734 | + | 2.11252i | −0.0165701 | + | 0.115247i | ||||
\(337\) | 3.40702 | + | 2.95220i | 0.185592 | + | 0.160816i | 0.742702 | − | 0.669623i | \(-0.233544\pi\) |
−0.557109 | + | 0.830439i | \(0.688090\pi\) | |||||||
\(338\) | 9.66698 | + | 4.41476i | 0.525814 | + | 0.240131i | ||||
\(339\) | 9.92657 | + | 6.37942i | 0.539137 | + | 0.346483i | ||||
\(340\) | 8.73093 | − | 0.352939i | 0.473501 | − | 0.0191408i | ||||
\(341\) | −33.9781 | + | 21.8364i | −1.84002 | + | 1.18251i | ||||
\(342\) | −13.8988 | + | 12.0433i | −0.751559 | + | 0.651230i | ||||
\(343\) | −3.08925 | − | 10.5210i | −0.166804 | − | 0.568081i | ||||
\(344\) | 1.32277 | 0.0713190 | ||||||||
\(345\) | 21.3074 | + | 17.8680i | 1.14715 | + | 0.961981i | ||||
\(346\) | −5.22484 | −0.280889 | ||||||||
\(347\) | 0.684336 | + | 2.33063i | 0.0367371 | + | 0.125115i | 0.975820 | − | 0.218576i | \(-0.0701410\pi\) |
−0.939083 | + | 0.343691i | \(0.888323\pi\) | |||||||
\(348\) | 7.52500 | − | 6.52045i | 0.403382 | − | 0.349533i | ||||
\(349\) | 23.8539 | − | 15.3300i | 1.27687 | − | 0.820595i | 0.286373 | − | 0.958118i | \(-0.407550\pi\) |
0.990499 | + | 0.137523i | \(0.0439141\pi\) | |||||||
\(350\) | −0.254965 | + | 4.10736i | −0.0136284 | + | 0.219547i | ||||
\(351\) | 2.43301 | + | 1.56360i | 0.129865 | + | 0.0834590i | ||||
\(352\) | −4.41702 | − | 2.01718i | −0.235428 | − | 0.107516i | ||||
\(353\) | −5.93958 | − | 5.14667i | −0.316132 | − | 0.273930i | 0.482312 | − | 0.876000i | \(-0.339797\pi\) |
−0.798443 | + | 0.602070i | \(0.794343\pi\) | |||||||
\(354\) | −0.481550 | + | 3.34925i | −0.0255941 | + | 0.178011i | ||||
\(355\) | 7.18345 | + | 21.2488i | 0.381258 | + | 1.12777i | ||||
\(356\) | −5.25610 | − | 1.54333i | −0.278573 | − | 0.0817964i | ||||
\(357\) | −2.34969 | + | 8.00231i | −0.124359 | + | 0.423527i | ||||
\(358\) | −3.12640 | + | 1.42778i | −0.165235 | + | 0.0754605i | ||||
\(359\) | −0.576914 | + | 4.01253i | −0.0304484 | + | 0.211773i | −0.999366 | − | 0.0356117i | \(-0.988662\pi\) |
0.968917 | + | 0.247385i | \(0.0795711\pi\) | |||||||
\(360\) | −5.70296 | − | 6.06795i | −0.300572 | − | 0.319809i | ||||
\(361\) | 2.23786 | − | 4.90023i | 0.117782 | − | 0.257907i | ||||
\(362\) | −1.93084 | + | 3.00445i | −0.101483 | + | 0.157911i | ||||
\(363\) | −32.2866 | + | 4.64211i | −1.69461 | + | 0.243648i | ||||
\(364\) | −1.06652 | + | 0.685413i | −0.0559011 | + | 0.0359254i | ||||
\(365\) | −11.3221 | + | 7.94027i | −0.592628 | + | 0.415613i | ||||
\(366\) | 32.8682 | − | 9.65098i | 1.71805 | − | 0.504465i | ||||
\(367\) | − | 0.00287537i | − | 0.000150093i | −1.00000 | 7.50466e-5i | \(-0.999976\pi\) | |||
1.00000 | 7.50466e-5i | \(-2.38881e-5\pi\) | ||||||||
\(368\) | 1.46224 | − | 4.56748i | 0.0762247 | − | 0.238096i | ||||
\(369\) | 14.0511 | 0.731471 | ||||||||
\(370\) | 10.5507 | − | 1.95482i | 0.548503 | − | 0.101626i | ||||
\(371\) | 3.42641 | + | 3.95429i | 0.177890 | + | 0.205296i | ||||
\(372\) | 11.6609 | + | 18.1448i | 0.604592 | + | 0.940764i | ||||
\(373\) | −5.56203 | + | 0.799699i | −0.287991 | + | 0.0414069i | −0.284796 | − | 0.958588i | \(-0.591926\pi\) |
−0.00319464 | + | 0.999995i | \(0.501017\pi\) | |||||||
\(374\) | −15.9632 | − | 10.2589i | −0.825438 | − | 0.530477i | ||||
\(375\) | −21.4953 | − | 19.4541i | −1.11001 | − | 1.00460i | ||||
\(376\) | 4.03581 | − | 4.65757i | 0.208131 | − | 0.240196i | ||||
\(377\) | 5.85444 | + | 0.841741i | 0.301519 | + | 0.0433519i | ||||
\(378\) | 1.40571 | − | 0.641964i | 0.0723017 | − | 0.0330191i | ||||
\(379\) | −16.8263 | − | 4.94063i | −0.864307 | − | 0.253783i | −0.180615 | − | 0.983554i | \(-0.557809\pi\) |
−0.683692 | + | 0.729771i | \(0.739627\pi\) | |||||||
\(380\) | 10.2216 | + | 4.17774i | 0.524359 | + | 0.214313i | ||||
\(381\) | −19.6392 | − | 43.0038i | −1.00615 | − | 2.20315i | ||||
\(382\) | 5.13118 | + | 0.737752i | 0.262534 | + | 0.0377467i | ||||
\(383\) | −5.00087 | − | 4.33327i | −0.255532 | − | 0.221420i | 0.517668 | − | 0.855581i | \(-0.326800\pi\) |
−0.773201 | + | 0.634161i | \(0.781346\pi\) | |||||||
\(384\) | −1.07721 | + | 2.35875i | −0.0549709 | + | 0.120370i | ||||
\(385\) | 5.57470 | − | 6.98475i | 0.284113 | − | 0.355976i | ||||
\(386\) | −2.36889 | − | 16.4760i | −0.120573 | − | 0.838605i | ||||
\(387\) | −2.66325 | − | 4.14410i | −0.135381 | − | 0.210656i | ||||
\(388\) | 8.59023 | − | 7.44348i | 0.436103 | − | 0.377885i | ||||
\(389\) | 28.1129 | − | 8.25468i | 1.42538 | − | 0.418529i | 0.524058 | − | 0.851682i | \(-0.324417\pi\) |
0.901320 | + | 0.433154i | \(0.142599\pi\) | |||||||
\(390\) | 0.912953 | − | 8.88458i | 0.0462292 | − | 0.449888i | ||||
\(391\) | 8.19610 | − | 16.8538i | 0.414494 | − | 0.852334i | ||||
\(392\) | − | 6.32259i | − | 0.319339i | ||||||
\(393\) | −14.3296 | − | 48.8021i | −0.722833 | − | 2.46174i | ||||
\(394\) | −0.460158 | − | 0.531051i | −0.0231824 | − | 0.0267539i | ||||
\(395\) | −14.1926 | + | 7.18795i | −0.714106 | + | 0.361665i | ||||
\(396\) | 2.57355 | + | 17.8994i | 0.129326 | + | 0.899480i | ||||
\(397\) | −9.57991 | + | 14.9066i | −0.480802 | + | 0.748143i | −0.993912 | − | 0.110181i | \(-0.964857\pi\) |
0.513110 | + | 0.858323i | \(0.328493\pi\) | |||||||
\(398\) | 23.0315 | + | 10.5181i | 1.15446 | + | 0.527226i | ||||
\(399\) | −6.90196 | + | 7.96528i | −0.345530 | + | 0.398763i | ||||
\(400\) | −1.70319 | + | 4.70097i | −0.0851594 | + | 0.235049i | ||||
\(401\) | 4.73969 | + | 10.3785i | 0.236689 | + | 0.518276i | 0.990284 | − | 0.139063i | \(-0.0444091\pi\) |
−0.753595 | + | 0.657339i | \(0.771682\pi\) | |||||||
\(402\) | −11.9178 | + | 40.5883i | −0.594406 | + | 2.02436i | ||||
\(403\) | −3.60963 | + | 12.2933i | −0.179808 | + | 0.612371i | ||||
\(404\) | 3.64362 | + | 7.97842i | 0.181277 | + | 0.396941i | ||||
\(405\) | 3.42153 | − | 13.6734i | 0.170017 | − | 0.679438i | ||||
\(406\) | 2.06961 | − | 2.38846i | 0.102713 | − | 0.118537i | ||||
\(407\) | −21.1960 | − | 9.67987i | −1.05065 | − | 0.479814i | ||||
\(408\) | −5.47842 | + | 8.52458i | −0.271222 | + | 0.422030i | ||||
\(409\) | 0.436149 | + | 3.03349i | 0.0215662 | + | 0.149996i | 0.997759 | − | 0.0669076i | \(-0.0213133\pi\) |
−0.976193 | + | 0.216904i | \(0.930404\pi\) | |||||||
\(410\) | −3.81188 | − | 7.52653i | −0.188255 | − | 0.371709i | ||||
\(411\) | −29.9886 | − | 34.6087i | −1.47923 | − | 1.70712i | ||||
\(412\) | −0.711708 | − | 2.42386i | −0.0350633 | − | 0.119415i | ||||
\(413\) | 1.07399i | 0.0528478i | ||||||||
\(414\) | −17.2535 | + | 4.61505i | −0.847962 | + | 0.226817i | ||||
\(415\) | 2.72504 | − | 26.5192i | 0.133767 | − | 1.30178i | ||||
\(416\) | −1.47794 | + | 0.433964i | −0.0724622 | + | 0.0212768i | ||||
\(417\) | −0.725600 | + | 0.628736i | −0.0355328 | + | 0.0307893i | ||||
\(418\) | −12.9644 | − | 20.1730i | −0.634109 | − | 0.986692i | ||||
\(419\) | −4.74194 | − | 32.9809i | −0.231659 | − | 1.61122i | −0.690927 | − | 0.722925i | \(-0.742797\pi\) |
0.459268 | − | 0.888298i | \(-0.348112\pi\) | |||||||
\(420\) | −3.72996 | − | 2.97697i | −0.182003 | − | 0.145261i | ||||
\(421\) | −13.3875 | + | 29.3145i | −0.652466 | + | 1.42870i | 0.236914 | + | 0.971531i | \(0.423864\pi\) |
−0.889379 | + | 0.457170i | \(0.848863\pi\) | |||||||
\(422\) | 2.80344 | + | 2.42920i | 0.136470 | + | 0.118252i | ||||
\(423\) | −22.7173 | − | 3.26626i | −1.10455 | − | 0.158811i | ||||
\(424\) | 2.64086 | + | 5.78267i | 0.128251 | + | 0.280831i | ||||
\(425\) | −9.20231 | + | 17.2362i | −0.446378 | + | 0.836077i | ||||
\(426\) | −24.9578 | − | 7.32828i | −1.20921 | − | 0.355056i | ||||
\(427\) | 9.89033 | − | 4.51676i | 0.478627 | − | 0.218582i | ||||
\(428\) | 13.9315 | + | 2.00304i | 0.673402 | + | 0.0968206i | ||||
\(429\) | −12.7012 | + | 14.6580i | −0.613220 | + | 0.707694i | ||||
\(430\) | −1.49730 | + | 2.55082i | −0.0722062 | + | 0.123012i | ||||
\(431\) | −7.59443 | − | 4.88064i | −0.365811 | − | 0.235092i | 0.344802 | − | 0.938675i | \(-0.387946\pi\) |
−0.710613 | + | 0.703583i | \(0.751582\pi\) | |||||||
\(432\) | 1.85848 | − | 0.267209i | 0.0894162 | − | 0.0128561i | ||||
\(433\) | 9.33815 | + | 14.5304i | 0.448763 | + | 0.698289i | 0.989761 | − | 0.142735i | \(-0.0455897\pi\) |
−0.540998 | + | 0.841024i | \(0.681953\pi\) | |||||||
\(434\) | 4.48317 | + | 5.17385i | 0.215199 | + | 0.248353i | ||||
\(435\) | 4.05612 | + | 21.8919i | 0.194476 | + | 1.04964i | ||||
\(436\) | 0.000750782 | 0 | 3.59559e−5 | 0 | ||||||
\(437\) | 18.2692 | − | 15.0711i | 0.873936 | − | 0.720947i | ||||
\(438\) | − | 16.0369i | − | 0.766271i | ||||||
\(439\) | 12.5452 | − | 3.68360i | 0.598749 | − | 0.175809i | 0.0317066 | − | 0.999497i | \(-0.489906\pi\) |
0.567042 | + | 0.823689i | \(0.308088\pi\) | |||||||
\(440\) | 8.88974 | − | 6.23441i | 0.423802 | − | 0.297214i | ||||
\(441\) | −19.8080 | + | 12.7298i | −0.943237 | + | 0.606182i | ||||
\(442\) | −5.95804 | + | 0.856636i | −0.283395 | + | 0.0407460i | ||||
\(443\) | 12.2792 | − | 19.1068i | 0.583401 | − | 0.907790i | −0.416598 | − | 0.909091i | \(-0.636778\pi\) |
0.999999 | + | 0.00130107i | \(0.000414142\pi\) | |||||||
\(444\) | −5.16919 | + | 11.3190i | −0.245319 | + | 0.537174i | ||||
\(445\) | 8.92576 | − | 8.38888i | 0.423122 | − | 0.397671i | ||||
\(446\) | −2.29023 | + | 15.9289i | −0.108445 | + | 0.754255i | ||||
\(447\) | 2.26824 | − | 1.03587i | 0.107284 | − | 0.0489951i | ||||
\(448\) | −0.231881 | + | 0.789713i | −0.0109553 | + | 0.0373104i | ||||
\(449\) | −2.22247 | − | 0.652576i | −0.104885 | − | 0.0307970i | 0.228869 | − | 0.973457i | \(-0.426497\pi\) |
−0.333754 | + | 0.942660i | \(0.608315\pi\) | |||||||
\(450\) | 18.1568 | − | 4.12898i | 0.855921 | − | 0.194642i | ||||
\(451\) | −2.60738 | + | 18.1348i | −0.122777 | + | 0.853932i | ||||
\(452\) | 3.43901 | + | 2.97992i | 0.161758 | + | 0.140164i | ||||
\(453\) | 48.2034 | + | 22.0137i | 2.26479 | + | 1.03430i | ||||
\(454\) | 3.02525 | + | 1.94421i | 0.141982 | + | 0.0912463i | ||||
\(455\) | −0.114502 | − | 2.83253i | −0.00536795 | − | 0.132791i | ||||
\(456\) | −10.7727 | + | 6.92317i | −0.504476 | + | 0.324207i | ||||
\(457\) | 17.5450 | − | 15.2028i | 0.820721 | − | 0.711158i | −0.139554 | − | 0.990214i | \(-0.544567\pi\) |
0.960275 | + | 0.279056i | \(0.0900215\pi\) | |||||||
\(458\) | 4.76861 | + | 16.2404i | 0.222822 | + | 0.758864i | ||||
\(459\) | 7.33722 | 0.342472 | ||||||||
\(460\) | 7.15272 | + | 7.98991i | 0.333497 | + | 0.372531i | ||||
\(461\) | 8.06438 | 0.375595 | 0.187798 | − | 0.982208i | \(-0.439865\pi\) | ||||
0.187798 | + | 0.982208i | \(0.439865\pi\) | |||||||
\(462\) | 2.91974 | + | 9.94372i | 0.135839 | + | 0.462624i | ||||
\(463\) | 12.7129 | − | 11.0158i | 0.590817 | − | 0.511946i | −0.307352 | − | 0.951596i | \(-0.599443\pi\) |
0.898169 | + | 0.439650i | \(0.144898\pi\) | |||||||
\(464\) | 3.23027 | − | 2.07597i | 0.149962 | − | 0.0963744i | ||||
\(465\) | −48.1898 | + | 1.94803i | −2.23475 | + | 0.0903377i | ||||
\(466\) | 19.4633 | + | 12.5083i | 0.901619 | + | 0.579435i | ||||
\(467\) | −17.1332 | − | 7.82445i | −0.792828 | − | 0.362072i | −0.0225214 | − | 0.999746i | \(-0.507169\pi\) |
−0.770306 | + | 0.637674i | \(0.779897\pi\) | |||||||
\(468\) | 4.33524 | + | 3.75651i | 0.200396 | + | 0.173645i | ||||
\(469\) | −1.91082 | + | 13.2901i | −0.0882335 | + | 0.613678i | ||||
\(470\) | 4.41332 | + | 13.0547i | 0.203571 | + | 0.602170i | ||||
\(471\) | 48.1199 | + | 14.1293i | 2.21725 | + | 0.651043i | ||||
\(472\) | −0.367631 | + | 1.25204i | −0.0169216 | + | 0.0576296i | ||||
\(473\) | 5.84270 | − | 2.66827i | 0.268647 | − | 0.122687i | ||||
\(474\) | 2.62557 | − | 18.2613i | 0.120597 | − | 0.838767i | ||||
\(475\) | −19.6266 | + | 14.9824i | −0.900532 | + | 0.687438i | ||||
\(476\) | −1.33610 | + | 2.92565i | −0.0612401 | + | 0.134097i | ||||
\(477\) | 12.7994 | − | 19.9163i | 0.586045 | − | 0.911904i | ||||
\(478\) | −12.9534 | + | 1.86242i | −0.592476 | + | 0.0851853i | ||||
\(479\) | −5.18475 | + | 3.33204i | −0.236897 | + | 0.152245i | −0.653704 | − | 0.756751i | \(-0.726786\pi\) |
0.416806 | + | 0.908995i | \(0.363149\pi\) | |||||||
\(480\) | −3.32927 | − | 4.74725i | −0.151959 | − | 0.216681i | ||||
\(481\) | −7.09222 | + | 2.08246i | −0.323378 | + | 0.0949522i | ||||
\(482\) | − | 0.609644i | − | 0.0277685i | ||||||
\(483\) | −9.41080 | + | 4.02512i | −0.428206 | + | 0.183149i | ||||
\(484\) | −12.5791 | −0.571776 | ||||||||
\(485\) | 4.63030 | + | 24.9909i | 0.210251 | + | 1.13478i | ||||
\(486\) | 14.3927 | + | 16.6100i | 0.652865 | + | 0.753446i | ||||
\(487\) | −14.0453 | − | 21.8549i | −0.636452 | − | 0.990339i | −0.998310 | − | 0.0581061i | \(-0.981494\pi\) |
0.361858 | − | 0.932233i | \(-0.382143\pi\) | |||||||
\(488\) | 13.0760 | − | 1.88004i | 0.591922 | − | 0.0851056i | ||||
\(489\) | −43.7352 | − | 28.1069i | −1.97777 | − | 1.27104i | ||||
\(490\) | 12.1924 | + | 7.15681i | 0.550798 | + | 0.323312i | ||||
\(491\) | −16.4557 | + | 18.9909i | −0.742634 | + | 0.857046i | −0.993833 | − | 0.110890i | \(-0.964630\pi\) |
0.251198 | + | 0.967936i | \(0.419175\pi\) | |||||||
\(492\) | 9.68422 | + | 1.39238i | 0.436598 | + | 0.0627734i | ||||
\(493\) | 13.6492 | − | 6.23339i | 0.614730 | − | 0.280738i | ||||
\(494\) | −7.29857 | − | 2.14305i | −0.328378 | − | 0.0964205i | ||||
\(495\) | −37.4302 | − | 15.2983i | −1.68236 | − | 0.687608i | ||||
\(496\) | 3.45534 | + | 7.56614i | 0.155149 | + | 0.339730i | ||||
\(497\) | −8.17208 | − | 1.17497i | −0.366568 | − | 0.0527045i | ||||
\(498\) | 23.3642 | + | 20.2452i | 1.04697 | + | 0.907209i | ||||
\(499\) | 5.75654 | − | 12.6051i | 0.257698 | − | 0.564281i | −0.735921 | − | 0.677068i | \(-0.763250\pi\) |
0.993619 | + | 0.112787i | \(0.0359778\pi\) | |||||||
\(500\) | −7.13742 | − | 8.60565i | −0.319195 | − | 0.384857i | ||||
\(501\) | 4.38424 | + | 30.4931i | 0.195873 | + | 1.36233i | ||||
\(502\) | 6.00845 | + | 9.34933i | 0.268170 | + | 0.417281i | ||||
\(503\) | −25.1422 | + | 21.7858i | −1.12104 | + | 0.971383i | −0.999774 | − | 0.0212380i | \(-0.993239\pi\) |
−0.121261 | + | 0.992621i | \(0.538694\pi\) | |||||||
\(504\) | 2.94095 | − | 0.863541i | 0.131000 | − | 0.0384652i | ||||
\(505\) | −19.5099 | − | 2.00478i | −0.868180 | − | 0.0892116i | ||||
\(506\) | −2.75469 | − | 23.1242i | −0.122461 | − | 1.02800i | ||||
\(507\) | − | 27.5576i | − | 1.22388i | ||||||
\(508\) | −5.13644 | − | 17.4931i | −0.227893 | − | 0.776131i | ||||
\(509\) | 5.23195 | + | 6.03799i | 0.231902 | + | 0.267629i | 0.859759 | − | 0.510699i | \(-0.170613\pi\) |
−0.627858 | + | 0.778328i | \(0.716068\pi\) | |||||||
\(510\) | −10.2375 | − | 20.2139i | −0.453324 | − | 0.895086i | ||||
\(511\) | −0.724403 | − | 5.03834i | −0.0320457 | − | 0.222883i | ||||
\(512\) | −0.540641 | + | 0.841254i | −0.0238932 | + | 0.0371785i | ||||
\(513\) | 8.43425 | + | 3.85179i | 0.372381 | + | 0.170061i | ||||
\(514\) | −5.43138 | + | 6.26814i | −0.239568 | + | 0.276476i | ||||
\(515\) | 5.47976 | + | 1.37121i | 0.241467 | + | 0.0604229i | ||||
\(516\) | −1.42489 | − | 3.12008i | −0.0627275 | − | 0.137354i | ||||
\(517\) | 8.43105 | − | 28.7135i | 0.370797 | − | 1.26282i | ||||
\(518\) | −1.11273 | + | 3.78960i | −0.0488904 | + | 0.166505i | ||||
\(519\) | 5.62823 | + | 12.3241i | 0.247052 | + | 0.540968i | ||||
\(520\) | 0.836097 | − | 3.34128i | 0.0366653 | − | 0.146525i | ||||
\(521\) | −1.78669 | + | 2.06195i | −0.0782763 | + | 0.0903356i | −0.793537 | − | 0.608522i | \(-0.791763\pi\) |
0.715261 | + | 0.698858i | \(0.246308\pi\) | |||||||
\(522\) | −13.0076 | − | 5.94036i | −0.569326 | − | 0.260003i | ||||
\(523\) | −17.6517 | + | 27.4665i | −0.771853 | + | 1.20103i | 0.203218 | + | 0.979133i | \(0.434860\pi\) |
−0.975071 | + | 0.221893i | \(0.928776\pi\) | |||||||
\(524\) | −2.79146 | − | 19.4150i | −0.121945 | − | 0.848149i | ||||
\(525\) | 9.96288 | − | 3.82307i | 0.434816 | − | 0.166852i | ||||
\(526\) | 2.63650 | + | 3.04269i | 0.114957 | + | 0.132668i | ||||
\(527\) | 9.15747 | + | 31.1875i | 0.398906 | + | 1.35855i | ||||
\(528\) | 12.5916i | 0.547978i | ||||||||
\(529\) | 22.3564 | − | 5.40310i | 0.972015 | − | 0.234917i | ||||
\(530\) | −14.1406 | − | 1.45304i | −0.614227 | − | 0.0631162i | ||||
\(531\) | 4.66268 | − | 1.36909i | 0.202343 | − | 0.0594133i | ||||
\(532\) | −3.07174 | + | 2.66168i | −0.133177 | + | 0.115398i | ||||
\(533\) | 3.14208 | + | 4.88916i | 0.136098 | + | 0.211773i | ||||
\(534\) | 2.02157 | + | 14.0603i | 0.0874819 | + | 0.608450i | ||||
\(535\) | −19.6323 | + | 24.5980i | −0.848777 | + | 1.06346i | ||||
\(536\) | −6.77680 | + | 14.8391i | −0.292713 | + | 0.640952i | ||||
\(537\) | 6.73555 | + | 5.83639i | 0.290661 | + | 0.251859i | ||||
\(538\) | −16.5962 | − | 2.38617i | −0.715511 | − | 0.102875i | ||||
\(539\) | −12.7538 | − | 27.9270i | −0.549346 | − | 1.20290i | ||||
\(540\) | −1.58841 | + | 3.88635i | −0.0683543 | + | 0.167242i | ||||
\(541\) | 37.5294 | + | 11.0196i | 1.61352 | + | 0.473771i | 0.959266 | − | 0.282506i | \(-0.0911656\pi\) |
0.654251 | + | 0.756277i | \(0.272984\pi\) | |||||||
\(542\) | 9.16540 | − | 4.18570i | 0.393688 | − | 0.179791i | ||||
\(543\) | 9.16667 | + | 1.31797i | 0.393379 | + | 0.0565594i | ||||
\(544\) | −2.55905 | + | 2.95330i | −0.109718 | + | 0.126622i | ||||
\(545\) | −0.000849843 | 0.00144780i | −3.64033e−5 | 6.20171e-5i | ||||||
\(546\) | 2.76559 | + | 1.77733i | 0.118356 | + | 0.0760629i | ||||
\(547\) | −42.8941 | + | 6.16724i | −1.83402 | + | 0.263692i | −0.970583 | − | 0.240767i | \(-0.922601\pi\) |
−0.863436 | + | 0.504459i | \(0.831692\pi\) | |||||||
\(548\) | −9.54773 | − | 14.8566i | −0.407859 | − | 0.634641i | ||||
\(549\) | −32.2170 | − | 37.1804i | −1.37499 | − | 1.58682i | ||||
\(550\) | 1.95972 | + | 24.1999i | 0.0835628 | + | 1.03189i | ||||
\(551\) | 18.9623 | 0.807822 | ||||||||
\(552\) | −12.3487 | + | 1.47104i | −0.525595 | + | 0.0626117i | ||||
\(553\) | − | 5.85578i | − | 0.249013i | ||||||
\(554\) | 19.6895 | − | 5.78135i | 0.836525 | − | 0.245626i | ||||
\(555\) | −15.9762 | − | 22.7807i | −0.678151 | − | 0.966985i | ||||
\(556\) | −0.311480 | + | 0.200176i | −0.0132097 | + | 0.00848935i | ||||
\(557\) | 18.0128 | − | 2.58985i | 0.763228 | − | 0.109736i | 0.250301 | − | 0.968168i | \(-0.419470\pi\) |
0.512927 | + | 0.858432i | \(0.328561\pi\) | |||||||
\(558\) | 16.7470 | − | 26.0588i | 0.708956 | − | 1.10316i | ||||
\(559\) | 0.846414 | − | 1.85339i | 0.0357995 | − | 0.0783900i | ||||
\(560\) | −1.26040 | − | 1.34107i | −0.0532617 | − | 0.0566704i | ||||
\(561\) | −7.00261 | + | 48.7042i | −0.295650 | + | 2.05629i | ||||
\(562\) | −22.5394 | + | 10.2934i | −0.950767 | + | 0.434201i | ||||
\(563\) | −1.76606 | + | 6.01463i | −0.0744304 | + | 0.253487i | −0.988300 | − | 0.152520i | \(-0.951261\pi\) |
0.913870 | + | 0.406007i | \(0.133079\pi\) | |||||||
\(564\) | −15.3334 | − | 4.50230i | −0.645654 | − | 0.189581i | ||||
\(565\) | −9.63923 | + | 3.25867i | −0.405526 | + | 0.137093i | ||||
\(566\) | 1.35770 | − | 9.44304i | 0.0570686 | − | 0.396921i | ||||
\(567\) | 3.92090 | + | 3.39748i | 0.164662 | + | 0.142681i | ||||
\(568\) | −9.12461 | − | 4.16707i | −0.382860 | − | 0.174846i | ||||
\(569\) | 34.4512 | + | 22.1404i | 1.44427 | + | 0.928175i | 0.999470 | + | 0.0325443i | \(0.0103610\pi\) |
0.444798 | + | 0.895631i | \(0.353275\pi\) | |||||||
\(570\) | −1.15655 | − | 28.6106i | −0.0484427 | − | 1.19836i | ||||
\(571\) | 14.7398 | − | 9.47273i | 0.616843 | − | 0.396421i | −0.194574 | − | 0.980888i | \(-0.562333\pi\) |
0.811418 | + | 0.584467i | \(0.198696\pi\) | |||||||
\(572\) | −5.65272 | + | 4.89811i | −0.236352 | + | 0.204800i | ||||
\(573\) | −3.78716 | − | 12.8979i | −0.158211 | − | 0.538817i | ||||
\(574\) | 3.10541 | 0.129617 | ||||||||
\(575\) | −23.5042 | + | 4.74914i | −0.980191 | + | 0.198053i | ||||
\(576\) | 3.72408 | 0.155170 | ||||||||
\(577\) | 4.73519 | + | 16.1266i | 0.197129 | + | 0.671358i | 0.997423 | + | 0.0717504i | \(0.0228585\pi\) |
−0.800294 | + | 0.599608i | \(0.795323\pi\) | |||||||
\(578\) | 1.30689 | − | 1.13243i | 0.0543595 | − | 0.0471028i | ||||
\(579\) | −36.3109 | + | 23.3356i | −1.50903 | + | 0.969795i | ||||
\(580\) | 0.346802 | + | 8.57911i | 0.0144002 | + | 0.356228i | ||||
\(581\) | 8.25488 | + | 5.30509i | 0.342470 | + | 0.220092i | ||||
\(582\) | −26.8107 | − | 12.2441i | −1.11134 | − | 0.507533i | ||||
\(583\) | 23.3294 | + | 20.2151i | 0.966206 | + | 0.837223i | ||||
\(584\) | 0.880143 | − | 6.12153i | 0.0364206 | − | 0.253311i | ||||
\(585\) | −12.1513 | + | 4.10790i | −0.502393 | + | 0.169841i | ||||
\(586\) | −16.5963 | − | 4.87311i | −0.685586 | − | 0.201306i | ||||
\(587\) | 12.0781 | − | 41.1342i | 0.498516 | − | 1.69779i | −0.197962 | − | 0.980210i | \(-0.563432\pi\) |
0.696477 | − | 0.717579i | \(-0.254750\pi\) | |||||||
\(588\) | −14.9134 | + | 6.81072i | −0.615018 | + | 0.280869i | ||||
\(589\) | −5.84573 | + | 40.6579i | −0.240869 | + | 1.67528i | ||||
\(590\) | −1.99828 | − | 2.12617i | −0.0822679 | − | 0.0875331i | ||||
\(591\) | −0.756932 | + | 1.65745i | −0.0311360 | + | 0.0681783i | ||||
\(592\) | −2.59438 | + | 4.03693i | −0.106628 | + | 0.165917i | ||||
\(593\) | −15.4713 | + | 2.22443i | −0.635329 | + | 0.0913466i | −0.452451 | − | 0.891789i | \(-0.649450\pi\) |
−0.182878 | + | 0.983136i | \(0.558541\pi\) | |||||||
\(594\) | 7.66994 | − | 4.92917i | 0.314701 | − | 0.202246i | ||||
\(595\) | −4.12942 | − | 5.88821i | −0.169290 | − | 0.241393i | ||||
\(596\) | 0.922676 | − | 0.270922i | 0.0377943 | − | 0.0110974i | ||||
\(597\) | − | 65.6557i | − | 2.68711i | ||||||
\(598\) | −5.46402 | − | 4.97145i | −0.223441 | − | 0.203298i | ||||
\(599\) | −23.4056 | −0.956327 | −0.478163 | − | 0.878271i | \(-0.658697\pi\) | ||||
−0.478163 | + | 0.878271i | \(0.658697\pi\) | |||||||
\(600\) | 12.9231 | − | 1.04652i | 0.527584 | − | 0.0427240i | ||||
\(601\) | 6.80010 | + | 7.84774i | 0.277382 | + | 0.320116i | 0.877297 | − | 0.479948i | \(-0.159344\pi\) |
−0.599915 | + | 0.800064i | \(0.704799\pi\) | |||||||
\(602\) | −0.588600 | − | 0.915880i | −0.0239896 | − | 0.0373285i | ||||
\(603\) | 60.1337 | − | 8.64592i | 2.44883 | − | 0.352089i | ||||
\(604\) | 17.1918 | + | 11.0485i | 0.699526 | + | 0.449558i | ||||
\(605\) | 14.2388 | − | 24.2574i | 0.578890 | − | 0.986204i | ||||
\(606\) | 14.8942 | − | 17.1888i | 0.605035 | − | 0.698247i | ||||
\(607\) | 6.99194 | + | 1.00529i | 0.283794 | + | 0.0408035i | 0.282742 | − | 0.959196i | \(-0.408756\pi\) |
0.00105223 | + | 0.999999i | \(0.499665\pi\) | |||||||
\(608\) | −4.49206 | + | 2.05145i | −0.182177 | + | 0.0831974i | ||||
\(609\) | −7.86317 | − | 2.30883i | −0.318632 | − | 0.0935587i | ||||
\(610\) | −11.1758 | + | 27.3438i | −0.452496 | + | 1.10712i | ||||
\(611\) | −3.94348 | − | 8.63502i | −0.159536 | − | 0.349336i | ||||
\(612\) | 14.4047 | + | 2.07109i | 0.582277 | + | 0.0837188i | ||||
\(613\) | −0.680540 | − | 0.589691i | −0.0274867 | − | 0.0238174i | 0.641009 | − | 0.767533i | \(-0.278516\pi\) |
−0.668496 | + | 0.743716i | \(0.733062\pi\) | |||||||
\(614\) | 4.09300 | − | 8.96243i | 0.165180 | − | 0.361694i | ||||
\(615\) | −13.6470 | + | 17.0989i | −0.550302 | + | 0.689494i | ||||
\(616\) | 0.568776 | + | 3.95592i | 0.0229166 | + | 0.159389i | ||||
\(617\) | 17.4211 | + | 27.1078i | 0.701349 | + | 1.09132i | 0.990958 | + | 0.134175i | \(0.0428384\pi\) |
−0.289609 | + | 0.957145i | \(0.593525\pi\) | |||||||
\(618\) | −4.95061 | + | 4.28973i | −0.199143 | + | 0.172558i | ||||
\(619\) | −24.3150 | + | 7.13951i | −0.977301 | + | 0.286961i | −0.731110 | − | 0.682260i | \(-0.760997\pi\) |
−0.246191 | + | 0.969221i | \(0.579179\pi\) | |||||||
\(620\) | −18.5018 | − | 1.90118i | −0.743048 | − | 0.0763534i | ||||
\(621\) | 5.73015 | + | 6.94612i | 0.229943 | + | 0.278738i | ||||
\(622\) | − | 8.40603i | − | 0.337051i | ||||||
\(623\) | 1.27024 | + | 4.32605i | 0.0508912 | + | 0.173319i | ||||
\(624\) | 2.61566 | + | 3.01864i | 0.104710 | + | 0.120842i | ||||
\(625\) | 24.6742 | − | 4.02264i | 0.986970 | − | 0.160906i | ||||
\(626\) | 2.69819 | + | 18.7663i | 0.107841 | + | 0.750054i | ||||
\(627\) | −33.6177 | + | 52.3102i | −1.34256 | + | 2.08907i | ||||
\(628\) | 17.5927 | + | 8.03431i | 0.702025 | + | 0.320604i | ||||
\(629\) | −12.2801 | + | 14.1720i | −0.489641 | + | 0.565076i | ||||
\(630\) | −1.66374 | + | 6.64879i | −0.0662851 | + | 0.264894i | ||||
\(631\) | 2.43194 | + | 5.32520i | 0.0968139 | + | 0.211993i | 0.951842 | − | 0.306589i | \(-0.0991876\pi\) |
−0.855028 | + | 0.518581i | \(0.826460\pi\) | |||||||
\(632\) | 2.00445 | − | 6.82652i | 0.0797326 | − | 0.271544i | ||||
\(633\) | 2.70999 | − | 9.22937i | 0.107712 | − | 0.366835i | ||||
\(634\) | −7.95092 | − | 17.4101i | −0.315771 | − | 0.691443i | ||||
\(635\) | 39.5478 | + | 9.89613i | 1.56941 | + | 0.392716i | ||||
\(636\) | 10.7951 | − | 12.4583i | 0.428055 | − | 0.494002i | ||||
\(637\) | −8.85884 | − | 4.04570i | −0.351000 | − | 0.160296i | ||||
\(638\) | 10.0805 | − | 15.6856i | 0.399093 | − | 0.621000i | ||||
\(639\) | 5.31640 | + | 36.9764i | 0.210313 | + | 1.46276i | ||||
\(640\) | −1.01029 | − | 1.99482i | −0.0399354 | − | 0.0788522i | ||||
\(641\) | 8.76323 | + | 10.1133i | 0.346127 | + | 0.399452i | 0.901944 | − | 0.431853i | \(-0.142140\pi\) |
−0.555817 | + | 0.831304i | \(0.687595\pi\) | |||||||
\(642\) | −10.2824 | − | 35.0185i | −0.405813 | − | 1.38207i | ||||
\(643\) | 16.5420i | 0.652352i | 0.945309 | + | 0.326176i | \(0.105760\pi\) | ||||
−0.945309 | + | 0.326176i | \(0.894240\pi\) | |||||||
\(644\) | −3.81316 | + | 1.01996i | −0.150260 | + | 0.0401922i | ||||
\(645\) | 7.62965 | + | 0.784000i | 0.300417 | + | 0.0308700i | ||||
\(646\) | −18.5162 | + | 5.43684i | −0.728509 | + | 0.213910i | ||||
\(647\) | 26.1354 | − | 22.6464i | 1.02749 | − | 0.890323i | 0.0334586 | − | 0.999440i | \(-0.489348\pi\) |
0.994029 | + | 0.109117i | \(0.0348024\pi\) | |||||||
\(648\) | 3.40792 | + | 5.30282i | 0.133876 | + | 0.208315i | ||||
\(649\) | 0.901755 | + | 6.27184i | 0.0353970 | + | 0.246191i | ||||
\(650\) | 5.49690 | + | 5.39447i | 0.215606 | + | 0.211588i | ||||
\(651\) | 7.37454 | − | 16.1480i | 0.289031 | − | 0.632889i | ||||
\(652\) | −15.1518 | − | 13.1291i | −0.593392 | − | 0.514177i | ||||
\(653\) | −45.9652 | − | 6.60880i | −1.79876 | − | 0.258622i | −0.839946 | − | 0.542669i | \(-0.817414\pi\) |
−0.958810 | + | 0.284047i | \(0.908323\pi\) | |||||||
\(654\) | −0.000808746 | − | 0.00177091i | −3.16245e−5 | − | 6.92480e-5i | ||||
\(655\) | 40.5996 | + | 16.5937i | 1.58636 | + | 0.648368i | ||||
\(656\) | 3.62020 | + | 1.06299i | 0.141345 | + | 0.0415027i | ||||
\(657\) | −20.9502 | + | 9.56762i | −0.817344 | + | 0.373268i | ||||
\(658\) | −5.02072 | − | 0.721870i | −0.195728 | − | 0.0281414i | ||||
\(659\) | 24.3323 | − | 28.0810i | 0.947852 | − | 1.09388i | −0.0476238 | − | 0.998865i | \(-0.515165\pi\) |
0.995476 | − | 0.0950144i | \(-0.0302897\pi\) | |||||||
\(660\) | −24.2815 | − | 14.2529i | −0.945156 | − | 0.554795i | ||||
\(661\) | −22.3758 | − | 14.3800i | −0.870317 | − | 0.559319i | 0.0275324 | − | 0.999621i | \(-0.491235\pi\) |
−0.897850 | + | 0.440302i | \(0.854871\pi\) | |||||||
\(662\) | 30.8332 | − | 4.43315i | 1.19837 | − | 0.172299i | ||||
\(663\) | 8.43862 | + | 13.1308i | 0.327729 | + | 0.509956i | ||||
\(664\) | 7.80738 | + | 9.01020i | 0.302985 | + | 0.349664i | ||||
\(665\) | −1.65573 | − | 8.93640i | −0.0642064 | − | 0.346539i | ||||
\(666\) | 17.8708 | 0.692478 | ||||||||
\(667\) | 16.5608 | + | 8.05358i | 0.641235 | + | 0.311836i | ||||
\(668\) | 11.8803i | 0.459663i | ||||||||
\(669\) | 40.0393 | − | 11.7566i | 1.54801 | − | 0.454537i | ||||
\(670\) | −20.9447 | − | 29.8654i | −0.809165 | − | 1.15380i | ||||
\(671\) | 53.9645 | − | 34.6809i | 2.08328 | − | 1.33884i | ||||
\(672\) | 2.11252 | − | 0.303734i | 0.0814922 | − | 0.0117168i | ||||
\(673\) | 21.9007 | − | 34.0782i | 0.844210 | − | 1.31362i | −0.103547 | − | 0.994625i | \(-0.533019\pi\) |
0.947757 | − | 0.318992i | \(-0.103344\pi\) | |||||||
\(674\) | 1.87275 | − | 4.10074i | 0.0721355 | − | 0.157955i | ||||
\(675\) | −5.69642 | − | 7.46221i | −0.219255 | − | 0.287221i | ||||
\(676\) | 1.51243 | − | 10.5192i | 0.0581704 | − | 0.404584i | ||||
\(677\) | −22.5137 | + | 10.2817i | −0.865272 | + | 0.395157i | −0.798057 | − | 0.602582i | \(-0.794139\pi\) |
−0.0672152 | + | 0.997738i | \(0.521411\pi\) | |||||||
\(678\) | 3.32437 | − | 11.3218i | 0.127672 | − | 0.434810i | ||||
\(679\) | −8.97627 | − | 2.63567i | −0.344478 | − | 0.101148i | ||||
\(680\) | −2.79843 | − | 8.27783i | −0.107315 | − | 0.317440i | ||||
\(681\) | 1.32709 | − | 9.23013i | 0.0508543 | − | 0.353699i | ||||
\(682\) | 30.5246 | + | 26.4497i | 1.16885 | + | 1.01281i | ||||
\(683\) | 6.95452 | + | 3.17602i | 0.266107 | + | 0.121527i | 0.544001 | − | 0.839085i | \(-0.316909\pi\) |
−0.277893 | + | 0.960612i | \(0.589636\pi\) | |||||||
\(684\) | 15.4712 | + | 9.94276i | 0.591558 | + | 0.380171i | ||||
\(685\) | 39.4568 | − | 1.59500i | 1.50757 | − | 0.0609420i | ||||
\(686\) | −9.22450 | + | 5.92823i | −0.352193 | + | 0.226341i | ||||
\(687\) | 33.1703 | − | 28.7422i | 1.26552 | − | 1.09658i | ||||
\(688\) | −0.372667 | − | 1.26919i | −0.0142078 | − | 0.0483873i | ||||
\(689\) | 9.79218 | 0.373052 | ||||||||
\(690\) | 11.1413 | − | 25.4783i | 0.424140 | − | 0.969941i | ||||
\(691\) | 12.5218 | 0.476351 | 0.238176 | − | 0.971222i | \(-0.423451\pi\) | ||||
0.238176 | + | 0.971222i | \(0.423451\pi\) | |||||||
\(692\) | 1.47201 | + | 5.01320i | 0.0559574 | + | 0.190573i | ||||
\(693\) | 11.2483 | − | 9.74672i | 0.427288 | − | 0.370247i | ||||
\(694\) | 2.04343 | − | 1.31323i | 0.0775674 | − | 0.0498496i | ||||
\(695\) | −0.0334406 | − | 0.827244i | −0.00126847 | − | 0.0313792i | ||||
\(696\) | −8.37636 | − | 5.38316i | −0.317505 | − | 0.204048i | ||||
\(697\) | 13.4118 | + | 6.12496i | 0.508008 | + | 0.232000i | ||||
\(698\) | −21.4294 | − | 18.5687i | −0.811116 | − | 0.702836i | ||||
\(699\) | 8.53799 | − | 59.3830i | 0.322937 | − | 2.24607i | ||||
\(700\) | 4.01281 | − | 0.912539i | 0.151670 | − | 0.0344907i | ||||
\(701\) | 8.90573 | + | 2.61496i | 0.336365 | + | 0.0987656i | 0.445553 | − | 0.895255i | \(-0.353007\pi\) |
−0.109188 | + | 0.994021i | \(0.534825\pi\) | |||||||
\(702\) | 0.814807 | − | 2.77498i | 0.0307529 | − | 0.104735i | ||||
\(703\) | −21.5561 | + | 9.84432i | −0.813002 | + | 0.371286i | ||||
\(704\) | −0.691057 | + | 4.80640i | −0.0260452 | + | 0.181148i | ||||
\(705\) | 26.0388 | − | 24.4726i | 0.980678 | − | 0.921690i | ||||
\(706\) | −3.26482 | + | 7.14897i | −0.122873 | + | 0.269055i | ||||
\(707\) | 3.90290 | − | 6.07303i | 0.146784 | − | 0.228400i | ||||
\(708\) | 3.34925 | − | 0.481550i | 0.125873 | − | 0.0180978i | ||||
\(709\) | −13.9940 | + | 8.99337i | −0.525554 | + | 0.337753i | −0.776366 | − | 0.630283i | \(-0.782939\pi\) |
0.250811 | + | 0.968036i | \(0.419303\pi\) | |||||||
\(710\) | 18.3643 | − | 12.8790i | 0.689200 | − | 0.483339i | ||||
\(711\) | −25.4225 | + | 7.46471i | −0.953417 | + | 0.279949i | ||||
\(712\) | 5.47800i | 0.205297i | ||||||||
\(713\) | −22.3734 | + | 33.0258i | −0.837890 | + | 1.23683i | ||||
\(714\) | 8.34015 | 0.312122 | ||||||||
\(715\) | −3.04693 | − | 16.4451i | −0.113949 | − | 0.615011i | ||||
\(716\) | 2.25075 | + | 2.59751i | 0.0841146 | + | 0.0970734i | ||||
\(717\) | 18.3465 | + | 28.5477i | 0.685163 | + | 1.06613i | ||||
\(718\) | 4.01253 | − | 0.576914i | 0.149746 | − | 0.0215302i | ||||
\(719\) | 31.4661 | + | 20.2221i | 1.17349 | + | 0.754156i | 0.974178 | − | 0.225781i | \(-0.0724932\pi\) |
0.199311 | + | 0.979936i | \(0.436130\pi\) | |||||||
\(720\) | −4.21545 | + | 7.18149i | −0.157100 | + | 0.267638i | ||||
\(721\) | −1.36157 | + | 1.57134i | −0.0507077 | + | 0.0585198i | ||||
\(722\) | −5.33221 | − | 0.766656i | −0.198444 | − | 0.0285320i | ||||
\(723\) | −1.43800 | + | 0.656712i | −0.0534797 | + | 0.0244234i | ||||
\(724\) | 3.42673 | + | 1.00618i | 0.127354 | + | 0.0373944i | ||||
\(725\) | −16.9365 | − | 9.04230i | −0.629005 | − | 0.335823i | ||||
\(726\) | 13.5503 | + | 29.6709i | 0.502897 | + | 1.10119i | ||||
\(727\) | −7.50409 | − | 1.07893i | −0.278311 | − | 0.0400151i | 0.00174573 | − | 0.999998i | \(-0.499444\pi\) |
−0.280057 | + | 0.959983i | \(0.590353\pi\) | |||||||
\(728\) | 0.958124 | + | 0.830219i | 0.0355104 | + | 0.0307700i | ||||
\(729\) | 15.8194 | − | 34.6396i | 0.585903 | − | 1.28295i | ||||
\(730\) | 10.8084 | + | 8.62649i | 0.400039 | + | 0.319281i | ||||
\(731\) | −0.735638 | − | 5.11648i | −0.0272086 | − | 0.189240i | ||||
\(732\) | −18.5201 | − | 28.8178i | −0.684522 | − | 1.06514i | ||||
\(733\) | −27.8874 | + | 24.1646i | −1.03005 | + | 0.892540i | −0.994278 | − | 0.106820i | \(-0.965933\pi\) |
−0.0357674 | + | 0.999360i | \(0.511388\pi\) | |||||||
\(734\) | −0.00275890 | 0.000810086i | −0.000101833 | 2.99008e-5i | ||||||
\(735\) | 3.74737 | − | 36.4683i | 0.138224 | − | 1.34515i | ||||
\(736\) | −4.79442 | − | 0.116205i | −0.176725 | − | 0.00428339i | ||||
\(737\) | 79.2147i | 2.91791i | ||||||||
\(738\) | −3.95865 | − | 13.4819i | −0.145720 | − | 0.496276i | ||||
\(739\) | −22.4956 | − | 25.9613i | −0.827514 | − | 0.955002i | 0.172033 | − | 0.985091i | \(-0.444966\pi\) |
−0.999547 | + | 0.0300890i | \(0.990421\pi\) | |||||||
\(740\) | −4.84810 | − | 9.57255i | −0.178220 | − | 0.351894i | ||||
\(741\) | 2.80713 | + | 19.5240i | 0.103122 | + | 0.717233i | ||||
\(742\) | 2.82878 | − | 4.40167i | 0.103848 | − | 0.161590i | ||||
\(743\) | −14.9390 | − | 6.82240i | −0.548057 | − | 0.250289i | 0.122088 | − | 0.992519i | \(-0.461041\pi\) |
−0.670145 | + | 0.742230i | \(0.733768\pi\) | |||||||
\(744\) | 14.1245 | − | 16.3006i | 0.517830 | − | 0.597608i | ||||
\(745\) | −0.521973 | + | 2.08595i | −0.0191236 | + | 0.0764234i | ||||
\(746\) | 2.33431 | + | 5.11143i | 0.0854652 | + | 0.187143i | ||||
\(747\) | 12.5087 | − | 42.6007i | 0.457670 | − | 1.55868i | ||||
\(748\) | −5.34602 | + | 18.2069i | −0.195470 | + | 0.665709i | ||||
\(749\) | −4.81226 | − | 10.5374i | −0.175836 | − | 0.385028i | ||||
\(750\) | −12.6101 | + | 26.1054i | −0.460457 | + | 0.953236i | ||||
\(751\) | 8.77410 | − | 10.1258i | 0.320171 | − | 0.369497i | −0.572734 | − | 0.819741i | \(-0.694117\pi\) |
0.892906 | + | 0.450244i | \(0.148663\pi\) | |||||||
\(752\) | −5.60592 | − | 2.56014i | −0.204427 | − | 0.0933587i | ||||
\(753\) | 15.5804 | − | 24.2436i | 0.567782 | − | 0.883486i | ||||
\(754\) | −0.841741 | − | 5.85444i | −0.0306544 | − | 0.213206i | ||||
\(755\) | −40.7661 | + | 20.6463i | −1.48363 | + | 0.751397i | ||||
\(756\) | −1.01199 | − | 1.16790i | −0.0368058 | − | 0.0424762i | ||||
\(757\) | −6.88700 | − | 23.4550i | −0.250312 | − | 0.852485i | −0.984775 | − | 0.173836i | \(-0.944384\pi\) |
0.734462 | − | 0.678649i | \(-0.237434\pi\) | |||||||
\(758\) | 17.5366i | 0.636958i | ||||||||
\(759\) | −51.5770 | + | 31.4072i | −1.87213 | + | 1.14001i | ||||
\(760\) | 1.12874 | − | 10.9846i | 0.0409438 | − | 0.398453i | ||||
\(761\) | −17.2773 | + | 5.07309i | −0.626303 | + | 0.183899i | −0.579457 | − | 0.815003i | \(-0.696735\pi\) |
−0.0468464 | + | 0.998902i | \(0.514917\pi\) | |||||||
\(762\) | −35.7289 | + | 30.9593i | −1.29432 | + | 1.12154i | ||||
\(763\) | −0.000334080 | 0 | 0.000519838i | −1.20945e−5 | 0 | 1.88194e-5i | ||||
\(764\) | −0.737752 | − | 5.13118i | −0.0266909 | − | 0.185640i | ||||
\(765\) | −20.2992 | + | 25.4337i | −0.733920 | + | 0.919556i | ||||
\(766\) | −2.74884 | + | 6.01912i | −0.0993196 | + | 0.217480i | ||||
\(767\) | 1.51904 | + | 1.31626i | 0.0548493 | + | 0.0475272i | ||||
\(768\) | 2.56669 | + | 0.369034i | 0.0926174 | + | 0.0133164i | ||||
\(769\) | −8.01981 | − | 17.5609i | −0.289202 | − | 0.633264i | 0.708144 | − | 0.706068i | \(-0.249533\pi\) |
−0.997346 | + | 0.0728039i | \(0.976805\pi\) | |||||||
\(770\) | −8.27240 | − | 3.38106i | −0.298117 | − | 0.121845i | ||||
\(771\) | 20.6357 | + | 6.05919i | 0.743177 | + | 0.218216i | ||||
\(772\) | −15.1412 | + | 6.91475i | −0.544943 | + | 0.248867i | ||||
\(773\) | 10.9151 | + | 1.56936i | 0.392590 | + | 0.0564459i | 0.335783 | − | 0.941939i | \(-0.390999\pi\) |
0.0568066 | + | 0.998385i | \(0.481908\pi\) | |||||||
\(774\) | −3.22591 | + | 3.72290i | −0.115953 | + | 0.133817i | ||||
\(775\) | 24.6092 | − | 33.5266i | 0.883988 | − | 1.20431i | ||||
\(776\) | −9.56211 | − | 6.14520i | −0.343260 | − | 0.220600i | ||||
\(777\) | 10.1374 | − | 1.45753i | 0.363676 | − | 0.0522887i | ||||
\(778\) | −15.8406 | − | 24.6485i | −0.567913 | − | 0.883691i | ||||
\(779\) | 12.2017 | + | 14.0815i | 0.437171 | + | 0.504522i | ||||
\(780\) | −8.78190 | + | 1.62710i | −0.314443 | + | 0.0582597i | ||||
\(781\) | −48.7093 | −1.74296 | ||||||||
\(782\) | −18.4802 | − | 3.11583i | −0.660851 | − | 0.111422i | ||||
\(783\) | 7.20964i | 0.257651i | ||||||||
\(784\) | −6.06648 | + | 1.78128i | −0.216660 | + | 0.0636171i | ||||
\(785\) | −35.4073 | + | 24.8313i | −1.26374 | + | 0.886265i | ||||
\(786\) | −42.7882 | + | 27.4983i | −1.52620 | + | 0.980832i | ||||
\(787\) | 3.16277 | − | 0.454737i | 0.112741 | − | 0.0162096i | −0.0857136 | − | 0.996320i | \(-0.527317\pi\) |
0.198454 | + | 0.980110i | \(0.436408\pi\) | |||||||
\(788\) | −0.379898 | + | 0.591133i | −0.0135333 | + | 0.0210582i | ||||
\(789\) | 4.33689 | − | 9.49646i | 0.154397 | − | 0.338083i | ||||
\(790\) | 10.8953 | + | 11.5926i | 0.387637 | + | 0.412446i | ||||
\(791\) | 0.533008 | − | 3.70715i | 0.0189516 | − | 0.131811i | ||||
\(792\) | 16.4493 | − | 7.51215i | 0.584501 | − | 0.266933i | ||||
\(793\) | 5.73286 | − | 19.5243i | 0.203580 | − | 0.693329i | ||||
\(794\) | 17.0018 | + | 4.99217i | 0.603371 | + | 0.177166i | ||||
\(795\) | 11.8049 | + | 34.9193i | 0.418678 | + | 1.23846i | ||||
\(796\) | 3.60335 | − | 25.0619i | 0.127717 | − | 0.888294i | ||||
\(797\) | −27.3779 | − | 23.7231i | −0.969777 | − | 0.840316i | 0.0174162 | − | 0.999848i | \(-0.494456\pi\) |
−0.987193 | + | 0.159532i | \(0.949001\pi\) | |||||||
\(798\) | 9.58714 | + | 4.37830i | 0.339381 | + | 0.154990i | ||||
\(799\) | −20.2599 | − | 13.0203i | −0.716745 | − | 0.460624i | ||||
\(800\) | 4.99039 | + | 0.309779i | 0.176437 | + | 0.0109524i | ||||
\(801\) | 17.1620 | − | 11.0293i | 0.606389 | − | 0.389703i | ||||
\(802\) | 8.62275 | − | 7.47165i | 0.304480 | − | 0.263833i | ||||
\(803\) | −8.46064 | − | 28.8143i | −0.298570 | − | 1.01683i | ||||
\(804\) | 42.3018 | 1.49187 | ||||||||
\(805\) | 2.34939 | − | 8.50782i | 0.0828052 | − | 0.299861i | ||||
\(806\) | 12.8122 | 0.451292 | ||||||||
\(807\) | 12.2491 | + | 41.7166i | 0.431189 | + | 1.46849i | ||||
\(808\) | 6.62871 | − | 5.74381i | 0.233197 | − | 0.202067i | ||||
\(809\) | −22.2577 | + | 14.3041i | −0.782538 | + | 0.502907i | −0.869875 | − | 0.493272i | \(-0.835801\pi\) |
0.0873372 | + | 0.996179i | \(0.472164\pi\) | |||||||
\(810\) | −14.0835 | + | 0.569312i | −0.494844 | + | 0.0200036i | ||||
\(811\) | 40.7874 | + | 26.2125i | 1.43224 | + | 0.920445i | 0.999824 | + | 0.0187703i | \(0.00597513\pi\) |
0.432416 | + | 0.901674i | \(0.357661\pi\) | |||||||
\(812\) | −2.87478 | − | 1.31287i | −0.100885 | − | 0.0460727i | ||||
\(813\) | −19.7460 | − | 17.1100i | −0.692524 | − | 0.600075i | ||||
\(814\) | −3.31618 | + | 23.0645i | −0.116232 | + | 0.808411i | ||||
\(815\) | 42.4692 | − | 14.3573i | 1.48763 | − | 0.502913i | ||||
\(816\) | 9.72273 | + | 2.85485i | 0.340364 | + | 0.0999398i | ||||
\(817\) | 1.84035 | − | 6.26766i | 0.0643858 | − | 0.219278i | ||||
\(818\) | 2.78773 | − | 1.27311i | 0.0974707 | − | 0.0445134i | ||||
\(819\) | 0.671912 | − | 4.67325i | 0.0234785 | − | 0.163297i | ||||
\(820\) | −6.14773 | + | 5.77794i | −0.214688 | + | 0.201774i | ||||
\(821\) | −7.21762 | + | 15.8044i | −0.251897 | + | 0.551577i | −0.992765 | − | 0.120073i | \(-0.961687\pi\) |
0.740868 | + | 0.671650i | \(0.234414\pi\) | |||||||
\(822\) | −24.7581 | + | 38.5243i | −0.863537 | + | 1.34369i | ||||
\(823\) | −17.9007 | + | 2.57373i | −0.623979 | + | 0.0897147i | −0.447050 | − | 0.894509i | \(-0.647525\pi\) |
−0.176929 | + | 0.984224i | \(0.556616\pi\) | |||||||
\(824\) | −2.12516 | + | 1.36576i | −0.0740335 | + | 0.0475784i | ||||
\(825\) | 54.9706 | − | 30.6908i | 1.91383 | − | 1.06852i | ||||
\(826\) | 1.03049 | − | 0.302579i | 0.0358554 | − | 0.0105281i | ||||
\(827\) | 28.4098i | 0.987904i | 0.869489 | + | 0.493952i | \(0.164448\pi\) | ||||
−0.869489 | + | 0.493952i | \(0.835552\pi\) | |||||||
\(828\) | 9.28898 | + | 15.2544i | 0.322814 | + | 0.530126i | ||||
\(829\) | 26.4729 | 0.919441 | 0.459720 | − | 0.888064i | \(-0.347950\pi\) | ||||
0.459720 | + | 0.888064i | \(0.347950\pi\) | |||||||
\(830\) | −26.2127 | + | 4.85668i | −0.909857 | + | 0.168578i | ||||
\(831\) | −34.8464 | − | 40.2148i | −1.20881 | − | 1.39504i | ||||
\(832\) | 0.832770 | + | 1.29582i | 0.0288711 | + | 0.0449243i | ||||
\(833\) | −24.4558 | + | 3.51621i | −0.847343 | + | 0.121829i | ||||
\(834\) | 0.807693 | + | 0.519073i | 0.0279681 | + | 0.0179740i | ||||
\(835\) | −22.9099 | − | 13.4478i | −0.792831 | − | 0.465382i | ||||
\(836\) | −15.7033 | + | 18.1226i | −0.543111 | + | 0.626784i | ||||
\(837\) | −15.4585 | − | 2.22259i | −0.534323 | − | 0.0768241i | ||||
\(838\) | −30.3090 | + | 13.8417i | −1.04701 | + | 0.478152i | ||||
\(839\) | 33.0440 | + | 9.70260i | 1.14081 | + | 0.334971i | 0.796947 | − | 0.604050i | \(-0.206447\pi\) |
0.343860 | + | 0.939021i | \(0.388265\pi\) | |||||||
\(840\) | −1.80553 | + | 4.41758i | −0.0622968 | + | 0.152421i | ||||
\(841\) | −5.92204 | − | 12.9674i | −0.204208 | − | 0.447153i | ||||
\(842\) | 31.8987 | + | 4.58635i | 1.09930 | + | 0.158056i | ||||
\(843\) | 48.5591 | + | 42.0767i | 1.67247 | + | 1.44920i | ||||
\(844\) | 1.54098 | − | 3.37427i | 0.0530426 | − | 0.116147i | ||||
\(845\) | 18.5731 | + | 14.8237i | 0.638936 | + | 0.509950i | ||||
\(846\) | 3.26626 | + | 22.7173i | 0.112296 | + | 0.781037i | ||||
\(847\) | 5.59738 | + | 8.70970i | 0.192328 | + | 0.299269i | ||||
\(848\) | 4.80442 | − | 4.16305i | 0.164984 | − | 0.142960i | ||||
\(849\) | −23.7363 | + | 6.96961i | −0.814628 | + | 0.239196i | ||||
\(850\) | 19.1306 | + | 3.97356i | 0.656174 | + | 0.136292i | ||||
\(851\) | −23.0070 | − | 0.557636i | −0.788671 | − | 0.0191155i | ||||
\(852\) | 26.0115i | 0.891138i | ||||||||
\(853\) | −10.8566 | − | 36.9743i | −0.371724 | − | 1.26598i | −0.906939 | − | 0.421261i | \(-0.861588\pi\) |
0.535215 | − | 0.844716i | \(-0.320231\pi\) | |||||||
\(854\) | −7.12023 | − | 8.21719i | −0.243649 | − | 0.281186i | ||||
\(855\) | −36.6861 | + | 18.5800i | −1.25464 | + | 0.635423i | ||||
\(856\) | −2.00304 | − | 13.9315i | −0.0684625 | − | 0.476167i | ||||
\(857\) | −27.1591 | + | 42.2605i | −0.927739 | + | 1.44359i | −0.0317588 | + | 0.999496i | \(0.510111\pi\) |
−0.895980 | + | 0.444094i | \(0.853526\pi\) | |||||||
\(858\) | 17.6426 | + | 8.05709i | 0.602308 | + | 0.275065i | ||||
\(859\) | −23.9776 | + | 27.6716i | −0.818103 | + | 0.944142i | −0.999227 | − | 0.0393187i | \(-0.987481\pi\) |
0.181123 | + | 0.983460i | \(0.442027\pi\) | |||||||
\(860\) | 2.86933 | + | 0.718000i | 0.0978435 | + | 0.0244836i | ||||
\(861\) | −3.34516 | − | 7.32489i | −0.114003 | − | 0.249631i | ||||
\(862\) | −2.54335 | + | 8.66184i | −0.0866267 | + | 0.295023i | ||||
\(863\) | 6.65724 | − | 22.6725i | 0.226615 | − | 0.771781i | −0.765166 | − | 0.643833i | \(-0.777343\pi\) |
0.991781 | − | 0.127947i | \(-0.0408388\pi\) | |||||||
\(864\) | −0.779980 | − | 1.70792i | −0.0265355 | − | 0.0581046i | ||||
\(865\) | −11.3337 | − | 2.83605i | −0.385356 | − | 0.0964285i | ||||
\(866\) | 11.3110 | − | 13.0536i | 0.384363 | − | 0.443579i | ||||
\(867\) | −4.07891 | − | 1.86277i | −0.138527 | − | 0.0632631i | ||||
\(868\) | 3.70122 | − | 5.75921i | 0.125628 | − | 0.195480i | ||||
\(869\) | −4.91667 | − | 34.1962i | −0.166787 | − | 1.16003i | ||||
\(870\) | 19.8624 | − | 10.0595i | 0.673399 | − | 0.341049i | ||||
\(871\) | 16.4554 | + | 18.9905i | 0.557569 | + | 0.643469i | ||||
\(872\) | −0.000211520 | 0 | 0.000720370i | −7.16296e−6 | 0 | 2.43948e-5i | ||||
\(873\) | 42.3297i | 1.43264i | ||||||||
\(874\) | −19.6076 | − | 13.2832i | −0.663238 | − | 0.449311i | ||||
\(875\) | −2.78254 | + | 8.77122i | −0.0940670 | + | 0.296521i | ||||
\(876\) | −15.3873 | + | 4.51811i | −0.519887 | + | 0.152653i | ||||
\(877\) | −11.0096 | + | 9.53985i | −0.371767 | + | 0.322138i | −0.820627 | − | 0.571464i | \(-0.806376\pi\) |
0.448860 | + | 0.893602i | \(0.351830\pi\) | |||||||
\(878\) | −7.06877 | − | 10.9992i | −0.238560 | − | 0.371206i | ||||
\(879\) | 6.38315 | + | 44.3958i | 0.215298 | + | 1.49743i | ||||
\(880\) | −8.48640 | − | 6.77321i | −0.286077 | − | 0.228325i | ||||
\(881\) | −6.02503 | + | 13.1930i | −0.202988 | + | 0.444483i | −0.983559 | − | 0.180584i | \(-0.942201\pi\) |
0.780571 | + | 0.625067i | \(0.214928\pi\) | |||||||
\(882\) | 17.7947 | + | 15.4192i | 0.599180 | + | 0.519192i | ||||
\(883\) | −14.1330 | − | 2.03202i | −0.475613 | − | 0.0683828i | −0.0996597 | − | 0.995022i | \(-0.531775\pi\) |
−0.375953 | + | 0.926639i | \(0.622685\pi\) | |||||||
\(884\) | 2.50051 | + | 5.47535i | 0.0841012 | + | 0.184156i | ||||
\(885\) | −2.86255 | + | 7.00377i | −0.0962235 | + | 0.235429i | ||||
\(886\) | −21.7922 | − | 6.39878i | −0.732125 | − | 0.214971i | ||||
\(887\) | 3.65322 | − | 1.66837i | 0.122663 | − | 0.0560183i | −0.353138 | − | 0.935571i | \(-0.614885\pi\) |
0.475801 | + | 0.879553i | \(0.342158\pi\) | |||||||
\(888\) | 12.3168 | + | 1.77089i | 0.413324 | + | 0.0594271i | ||||
\(889\) | −9.82656 | + | 11.3405i | −0.329572 | + | 0.380347i | ||||
\(890\) | −10.5637 | − | 6.20079i | −0.354098 | − | 0.207851i | ||||
\(891\) | 25.7496 | + | 16.5483i | 0.862644 | + | 0.554388i | ||||
\(892\) | 15.9289 | − | 2.29023i | 0.533339 | − | 0.0766825i | ||||
\(893\) | −16.4539 | − | 25.6028i | −0.550610 | − | 0.856766i | ||||
\(894\) | −1.63295 | − | 1.88452i | −0.0546140 | − | 0.0630279i | ||||
\(895\) | −7.55675 | + | 1.40011i | −0.252594 | + | 0.0468004i | ||||
\(896\) | 0.823052 | 0.0274962 | ||||||||
\(897\) | −5.84053 | + | 18.2435i | −0.195010 | + | 0.609134i | ||||
\(898\) | 2.31630i | 0.0772958i | ||||||||
\(899\) | −30.6452 | + | 8.99824i | −1.02207 | + | 0.300108i | ||||
\(900\) | −9.07710 | − | 16.2581i | −0.302570 | − | 0.541936i | ||||
\(901\) | 20.8987 | − | 13.4308i | 0.696237 | − | 0.447445i | ||||
\(902\) | 18.1348 | − | 2.60738i | 0.603821 | − | 0.0868164i | ||||
\(903\) | −1.52629 | + | 2.37495i | −0.0507917 | + | 0.0790335i | ||||
\(904\) | 1.89033 | − | 4.13925i | 0.0628715 | − | 0.137669i | ||||
\(905\) | −5.81918 | + | 5.46915i | −0.193436 | + | 0.181801i | ||||
\(906\) | 7.54157 | − | 52.4528i | 0.250552 | − | 1.74263i | ||||
\(907\) | 45.7095 | − | 20.8748i | 1.51776 | − | 0.693137i | 0.529837 | − | 0.848099i | \(-0.322253\pi\) |
0.987920 | + | 0.154963i | \(0.0495257\pi\) | |||||||
\(908\) | 1.01314 | − | 3.45045i | 0.0336224 | − | 0.114507i | ||||
\(909\) | −31.3409 | − | 9.20253i | −1.03951 | − | 0.305229i | ||||
\(910\) | −2.68553 | + | 0.907880i | −0.0890245 | + | 0.0300959i | ||||
\(911\) | 3.28382 | − | 22.8394i | 0.108798 | − | 0.756704i | −0.860257 | − | 0.509860i | \(-0.829697\pi\) |
0.969055 | − | 0.246844i | \(-0.0793937\pi\) | |||||||
\(912\) | 9.67774 | + | 8.38581i | 0.320462 | + | 0.277682i | ||||
\(913\) | 52.6606 | + | 24.0493i | 1.74281 | + | 0.795915i | ||||
\(914\) | −19.5300 | − | 12.5512i | −0.645995 | − | 0.415156i | ||||
\(915\) | 76.5358 | − | 3.09389i | 2.53020 | − | 0.102281i | ||||
\(916\) | 14.2391 | − | 9.15089i | 0.470472 | − | 0.302354i | ||||
\(917\) | −12.2007 | + | 10.5720i | −0.402904 | + | 0.349118i | ||||
\(918\) | −2.06713 | − | 7.04001i | −0.0682255 | − | 0.232355i | ||||
\(919\) | −0.729666 | −0.0240695 | −0.0120347 | − | 0.999928i | \(-0.503831\pi\) | ||||
−0.0120347 | + | 0.999928i | \(0.503831\pi\) | |||||||
\(920\) | 5.65111 | − | 9.11400i | 0.186311 | − | 0.300480i | ||||
\(921\) | −25.5491 | −0.841873 | ||||||||
\(922\) | −2.27200 | − | 7.73771i | −0.0748242 | − | 0.254828i | ||||
\(923\) | −11.6773 | + | 10.1184i | −0.384363 | + | 0.333053i | ||||
\(924\) | 8.71835 | − | 5.60294i | 0.286812 | − | 0.184323i | ||||
\(925\) | 23.9474 | + | 1.48654i | 0.787387 | + | 0.0488771i | ||||
\(926\) | −14.1512 | − | 9.09440i | −0.465036 | − | 0.298861i | ||||
\(927\) | 8.55755 | + | 3.90810i | 0.281067 | + | 0.128359i | ||||
\(928\) | −2.90195 | − | 2.51455i | −0.0952612 | − | 0.0825443i | ||||
\(929\) | −0.650532 | + | 4.52455i | −0.0213433 | + | 0.148446i | −0.997706 | − | 0.0676913i | \(-0.978437\pi\) |
0.976363 | + | 0.216137i | \(0.0693458\pi\) | |||||||
\(930\) | 15.4458 | + | 45.6890i | 0.506487 | + | 1.49820i | ||||
\(931\) | −29.9582 | − | 8.79653i | −0.981841 | − | 0.288295i | ||||
\(932\) | 6.51818 | − | 22.1989i | 0.213510 | − | 0.727148i | ||||
\(933\) | −19.8277 | + | 9.05502i | −0.649131 | + | 0.296448i | ||||
\(934\) | −2.68054 | + | 18.6435i | −0.0877098 | + | 0.610035i | ||||
\(935\) | −29.0586 | − | 30.9184i | −0.950319 | − | 1.01114i | ||||
\(936\) | 2.38296 | − | 5.21796i | 0.0778896 | − | 0.170554i | ||||
\(937\) | 2.90788 | − | 4.52475i | 0.0949963 | − | 0.147817i | −0.790502 | − | 0.612459i | \(-0.790181\pi\) |
0.885499 | + | 0.464642i | \(0.153817\pi\) | |||||||
\(938\) | 13.2901 | − | 1.91082i | 0.433936 | − | 0.0623905i | ||||
\(939\) | 41.3586 | − | 26.5796i | 1.34969 | − | 0.867391i | ||||
\(940\) | 11.2825 | − | 7.91250i | 0.367996 | − | 0.258077i | ||||
\(941\) | −34.0729 | + | 10.0047i | −1.11075 | + | 0.326144i | −0.785113 | − | 0.619352i | \(-0.787395\pi\) |
−0.325632 | + | 0.945497i | \(0.605577\pi\) | |||||||
\(942\) | − | 50.1514i | − | 1.63402i | ||||||
\(943\) | 4.67573 | + | 17.4803i | 0.152263 | + | 0.569238i | ||||
\(944\) | 1.30489 | 0.0424706 | ||||||||
\(945\) | 3.39770 | − | 0.629522i | 0.110527 | − | 0.0204784i | ||||
\(946\) | −4.20626 | − | 4.85429i | −0.136757 | − | 0.157827i | ||||
\(947\) | 3.05738 | + | 4.75737i | 0.0993514 | + | 0.154594i | 0.887371 | − | 0.461057i | \(-0.152530\pi\) |
−0.788019 | + | 0.615651i | \(0.788893\pi\) | |||||||
\(948\) | −18.2613 | + | 2.62557i | −0.593098 | + | 0.0852746i | ||||
\(949\) | −8.01394 | − | 5.15025i | −0.260144 | − | 0.167184i | ||||
\(950\) | 19.9049 | + | 14.6106i | 0.645802 | + | 0.474030i | ||||
\(951\) | −32.5013 | + | 37.5085i | −1.05393 | + | 1.21630i | ||||
\(952\) | 3.18357 | + | 0.457728i | 0.103180 | + | 0.0148351i | ||||
\(953\) | 29.5781 | − | 13.5079i | 0.958129 | − | 0.437563i | 0.125930 | − | 0.992039i | \(-0.459809\pi\) |
0.832200 | + | 0.554476i | \(0.187081\pi\) | |||||||
\(954\) | −22.7156 | − | 6.66989i | −0.735443 | − | 0.215946i | ||||
\(955\) | 10.7300 | + | 4.38553i | 0.347216 | + | 0.141912i | ||||
\(956\) | 5.43639 | + | 11.9040i | 0.175825 | + | 0.385004i | ||||
\(957\) | −47.8573 | − | 6.88085i | −1.54701 | − | 0.222426i | ||||
\(958\) | 4.65778 | + | 4.03599i | 0.150486 | + | 0.130397i | ||||
\(959\) | −6.03811 | + | 13.2216i | −0.194981 | + | 0.426948i | ||||
\(960\) | −3.61699 | + | 4.53186i | −0.116738 | + | 0.146265i | ||||
\(961\) | −5.43442 | − | 37.7972i | −0.175304 | − | 1.21926i | ||||
\(962\) | 3.99622 | + | 6.21824i | 0.128843 | + | 0.200484i | ||||
\(963\) | −39.6129 | + | 34.3247i | −1.27651 | + | 1.10610i | ||||
\(964\) | −0.584949 | + | 0.171757i | −0.0188399 | + | 0.00553191i | ||||
\(965\) | 3.80461 | − | 37.0253i | 0.122475 | − | 1.19189i | ||||
\(966\) | 6.51340 | + | 7.89559i | 0.209565 | + | 0.254036i | ||||
\(967\) | 9.73914i | 0.313190i | 0.987663 | + | 0.156595i | \(0.0500517\pi\) | ||||
−0.987663 | + | 0.156595i | \(0.949948\pi\) | |||||||
\(968\) | 3.54394 | + | 12.0695i | 0.113906 | + | 0.387930i | ||||
\(969\) | 32.7699 | + | 37.8185i | 1.05272 | + | 1.21490i | ||||
\(970\) | 22.6741 | − | 11.4835i | 0.728022 | − | 0.368713i | ||||
\(971\) | 3.76382 | + | 26.1780i | 0.120787 | + | 0.840091i | 0.956668 | + | 0.291181i | \(0.0940481\pi\) |
−0.835881 | + | 0.548910i | \(0.815043\pi\) | |||||||
\(972\) | 11.8823 | − | 18.4893i | 0.381126 | − | 0.593043i | ||||
\(973\) | 0.277202 | + | 0.126594i | 0.00888669 | + | 0.00405841i | ||||
\(974\) | −17.0126 | + | 19.6336i | −0.545119 | + | 0.629101i | ||||
\(975\) | 6.80292 | − | 18.7768i | 0.217868 | − | 0.601337i | ||||
\(976\) | −5.48782 | − | 12.0167i | −0.175661 | − | 0.384644i | ||||
\(977\) | 4.46090 | − | 15.1924i | 0.142717 | − | 0.486049i | −0.856847 | − | 0.515570i | \(-0.827580\pi\) |
0.999564 | + | 0.0295211i | \(0.00939822\pi\) | |||||||
\(978\) | −14.6467 | + | 49.8822i | −0.468351 | + | 1.59506i | ||||
\(979\) | 11.0501 | + | 24.1964i | 0.353164 | + | 0.773321i | ||||
\(980\) | 3.43190 | − | 13.7149i | 0.109628 | − | 0.438105i | ||||
\(981\) | −0.00183097 | + | 0.00211305i | −5.84584e−5 | + | 6.74646e-5i | ||||
\(982\) | 22.8577 | + | 10.4388i | 0.729418 | + | 0.333114i | ||||
\(983\) | −6.27372 | + | 9.76210i | −0.200101 | + | 0.311363i | −0.926773 | − | 0.375621i | \(-0.877429\pi\) |
0.726673 | + | 0.686984i | \(0.241066\pi\) | |||||||
\(984\) | −1.39238 | − | 9.68422i | −0.0443875 | − | 0.308722i | ||||
\(985\) | −0.709914 | − | 1.40172i | −0.0226197 | − | 0.0446626i | ||||
\(986\) | −9.82632 | − | 11.3402i | −0.312934 | − | 0.361145i | ||||
\(987\) | 3.70563 | + | 12.6202i | 0.117952 | + | 0.401706i | ||||
\(988\) | 7.60669i | 0.242001i | ||||||||
\(989\) | 4.26924 | − | 4.69224i | 0.135754 | − | 0.149205i | ||||
\(990\) | −4.13331 | + | 40.2241i | −0.131365 | + | 1.27841i | ||||
\(991\) | −13.9859 | + | 4.10664i | −0.444278 | + | 0.130452i | −0.496217 | − | 0.868199i | \(-0.665278\pi\) |
0.0519393 | + | 0.998650i | \(0.483460\pi\) | |||||||
\(992\) | 6.28618 | − | 5.44700i | 0.199586 | − | 0.172943i | ||||
\(993\) | −43.6704 | − | 67.9525i | −1.38584 | − | 2.15641i | ||||
\(994\) | 1.17497 | + | 8.17208i | 0.0372677 | + | 0.259203i | ||||
\(995\) | 44.2503 | + | 35.3173i | 1.40283 | + | 1.11963i | ||||
\(996\) | 12.8427 | − | 28.1215i | 0.406935 | − | 0.891064i | ||||
\(997\) | −24.9858 | − | 21.6503i | −0.791309 | − | 0.685673i | 0.162293 | − | 0.986743i | \(-0.448111\pi\) |
−0.953602 | + | 0.301069i | \(0.902656\pi\) | |||||||
\(998\) | −13.7163 | − | 1.97210i | −0.434181 | − | 0.0624259i | ||||
\(999\) | −3.74290 | − | 8.19580i | −0.118420 | − | 0.259304i |
(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 | 230.2.j.a.9.1 | ✓ | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.9.12 | yes | 120 | |
23.18 | even | 11 | inner | 230.2.j.a.179.12 | yes | 120 | |
115.64 | even | 22 | inner | 230.2.j.a.179.1 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.9.1 | ✓ | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.9.12 | yes | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.179.1 | yes | 120 | 115.64 | even | 22 | inner | |
230.2.j.a.179.12 | yes | 120 | 23.18 | even | 11 | inner |