Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 331.4 | ||
Character | \(\chi\) | \(=\) | 483.331 |
Dual form | 483.2.y.b.340.4 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.460427 | + | 1.89791i | −0.325571 | + | 1.34202i | 0.540180 | + | 0.841549i | \(0.318356\pi\) |
−0.865752 | + | 0.500474i | \(0.833159\pi\) | |||||||
\(3\) | −0.327068 | + | 0.945001i | −0.188833 | + | 0.545596i | ||||
\(4\) | −1.61239 | − | 0.831245i | −0.806195 | − | 0.415622i | ||||
\(5\) | 0.128307 | + | 0.0513663i | 0.0573806 | + | 0.0229717i | 0.400175 | − | 0.916439i | \(-0.368949\pi\) |
−0.342795 | + | 0.939410i | \(0.611374\pi\) | |||||||
\(6\) | −1.64293 | − | 1.05585i | −0.670725 | − | 0.431049i | ||||
\(7\) | −1.62090 | + | 2.09109i | −0.612644 | + | 0.790359i | ||||
\(8\) | −0.237817 | + | 0.274456i | −0.0840811 | + | 0.0970348i | ||||
\(9\) | −0.786053 | − | 0.618159i | −0.262018 | − | 0.206053i | ||||
\(10\) | −0.156565 | + | 0.219864i | −0.0495100 | + | 0.0695271i | ||||
\(11\) | 0.270110 | + | 1.11341i | 0.0814412 | + | 0.335705i | 0.997927 | − | 0.0643630i | \(-0.0205016\pi\) |
−0.916485 | + | 0.400068i | \(0.868986\pi\) | |||||||
\(12\) | 1.31289 | − | 1.25184i | 0.378998 | − | 0.361374i | ||||
\(13\) | 0.526616 | + | 1.15313i | 0.146057 | + | 0.319820i | 0.968494 | − | 0.249036i | \(-0.0801136\pi\) |
−0.822437 | + | 0.568856i | \(0.807386\pi\) | |||||||
\(14\) | −3.22240 | − | 4.03912i | −0.861222 | − | 1.07950i | ||||
\(15\) | −0.0905063 | + | 0.104450i | −0.0233686 | + | 0.0269688i | ||||
\(16\) | −2.51590 | − | 3.53308i | −0.628974 | − | 0.883270i | ||||
\(17\) | −0.146768 | + | 3.08103i | −0.0355964 | + | 0.747261i | 0.908558 | + | 0.417758i | \(0.137184\pi\) |
−0.944155 | + | 0.329503i | \(0.893119\pi\) | |||||||
\(18\) | 1.53513 | − | 1.20724i | 0.361833 | − | 0.284549i | ||||
\(19\) | −0.226514 | − | 4.75511i | −0.0519658 | − | 1.09090i | −0.862776 | − | 0.505587i | \(-0.831276\pi\) |
0.810810 | − | 0.585310i | \(-0.199027\pi\) | |||||||
\(20\) | −0.164183 | − | 0.189477i | −0.0367124 | − | 0.0423683i | ||||
\(21\) | −1.44594 | − | 2.21568i | −0.315530 | − | 0.483502i | ||||
\(22\) | −2.23751 | −0.477039 | ||||||||
\(23\) | −4.72631 | + | 0.813647i | −0.985503 | + | 0.169657i | ||||
\(24\) | −0.181579 | − | 0.314503i | −0.0370646 | − | 0.0641977i | ||||
\(25\) | −3.60485 | − | 3.43721i | −0.720969 | − | 0.687443i | ||||
\(26\) | −2.43100 | + | 0.468536i | −0.476758 | + | 0.0918875i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | 4.35174 | − | 2.02429i | 0.822401 | − | 0.382555i | ||||
\(29\) | 4.44994 | + | 2.85981i | 0.826334 | + | 0.531052i | 0.884111 | − | 0.467277i | \(-0.154765\pi\) |
−0.0577772 | + | 0.998330i | \(0.518401\pi\) | |||||||
\(30\) | −0.156565 | − | 0.219864i | −0.0285846 | − | 0.0401415i | ||||
\(31\) | −1.86125 | − | 0.358727i | −0.334291 | − | 0.0644293i | 0.0193439 | − | 0.999813i | \(-0.493842\pi\) |
−0.353635 | + | 0.935384i | \(0.615054\pi\) | |||||||
\(32\) | 7.18956 | − | 2.87827i | 1.27095 | − | 0.508811i | ||||
\(33\) | −1.14052 | − | 0.108906i | −0.198538 | − | 0.0189581i | ||||
\(34\) | −5.77994 | − | 1.69714i | −0.991252 | − | 0.291058i | ||||
\(35\) | −0.315385 | + | 0.185042i | −0.0533097 | + | 0.0312778i | ||||
\(36\) | 0.753583 | + | 1.65012i | 0.125597 | + | 0.275019i | ||||
\(37\) | −4.39296 | − | 3.45466i | −0.722198 | − | 0.567943i | 0.187973 | − | 0.982174i | \(-0.439808\pi\) |
−0.910172 | + | 0.414231i | \(0.864051\pi\) | |||||||
\(38\) | 9.12905 | + | 1.75948i | 1.48093 | + | 0.285425i | ||||
\(39\) | −1.26195 | + | 0.120501i | −0.202073 | + | 0.0192956i | ||||
\(40\) | −0.0446114 | + | 0.0229988i | −0.00705368 | + | 0.00363642i | ||||
\(41\) | 0.573363 | + | 3.98783i | 0.0895442 | + | 0.622794i | 0.984335 | + | 0.176308i | \(0.0564155\pi\) |
−0.894791 | + | 0.446486i | \(0.852675\pi\) | |||||||
\(42\) | 4.87091 | − | 1.72410i | 0.751598 | − | 0.266034i | ||||
\(43\) | 4.23547 | + | 4.88799i | 0.645903 | + | 0.745412i | 0.980407 | − | 0.196983i | \(-0.0631143\pi\) |
−0.334504 | + | 0.942394i | \(0.608569\pi\) | |||||||
\(44\) | 0.489992 | − | 2.01978i | 0.0738691 | − | 0.304493i | ||||
\(45\) | −0.0691034 | − | 0.119691i | −0.0103013 | − | 0.0178424i | ||||
\(46\) | 0.631895 | − | 9.34472i | 0.0931678 | − | 1.37780i | ||||
\(47\) | −1.76906 | + | 3.06410i | −0.258043 | + | 0.446944i | −0.965718 | − | 0.259594i | \(-0.916411\pi\) |
0.707674 | + | 0.706539i | \(0.249744\pi\) | |||||||
\(48\) | 4.16163 | − | 1.22197i | 0.600680 | − | 0.176376i | ||||
\(49\) | −1.74535 | − | 6.77892i | −0.249336 | − | 0.968417i | ||||
\(50\) | 8.18329 | − | 5.25908i | 1.15729 | − | 0.743746i | ||||
\(51\) | −2.86358 | − | 1.14640i | −0.400981 | − | 0.160529i | ||||
\(52\) | 0.109421 | − | 2.29704i | 0.0151740 | − | 0.318542i | ||||
\(53\) | 10.2787 | − | 0.981495i | 1.41188 | − | 0.134819i | 0.638923 | − | 0.769271i | \(-0.279380\pi\) |
0.772962 | + | 0.634452i | \(0.218774\pi\) | |||||||
\(54\) | 0.638750 | + | 1.84555i | 0.0869229 | + | 0.251147i | ||||
\(55\) | −0.0225347 | + | 0.156732i | −0.00303858 | + | 0.0211338i | ||||
\(56\) | −0.188434 | − | 0.942164i | −0.0251806 | − | 0.125902i | ||||
\(57\) | 4.56767 | + | 1.34119i | 0.605002 | + | 0.177645i | ||||
\(58\) | −7.47652 | + | 7.12885i | −0.981716 | + | 0.936064i | ||||
\(59\) | −5.01361 | + | 7.04064i | −0.652717 | + | 0.916613i | −0.999775 | − | 0.0212311i | \(-0.993241\pi\) |
0.347058 | + | 0.937844i | \(0.387181\pi\) | |||||||
\(60\) | 0.232755 | − | 0.0931809i | 0.0300485 | − | 0.0120296i | ||||
\(61\) | 2.21524 | + | 6.40052i | 0.283633 | + | 0.819503i | 0.993362 | + | 0.115029i | \(0.0366960\pi\) |
−0.709729 | + | 0.704474i | \(0.751183\pi\) | |||||||
\(62\) | 1.53780 | − | 3.36732i | 0.195301 | − | 0.427650i | ||||
\(63\) | 2.56674 | − | 0.641736i | 0.323379 | − | 0.0808511i | ||||
\(64\) | 0.917882 | + | 6.38401i | 0.114735 | + | 0.798001i | ||||
\(65\) | 0.00833649 | + | 0.175004i | 0.00103401 | + | 0.0217066i | ||||
\(66\) | 0.731819 | − | 2.11445i | 0.0900807 | − | 0.260271i | ||||
\(67\) | −2.99011 | − | 2.85106i | −0.365300 | − | 0.348313i | 0.485092 | − | 0.874463i | \(-0.338786\pi\) |
−0.850391 | + | 0.526151i | \(0.823635\pi\) | |||||||
\(68\) | 2.79774 | − | 4.84583i | 0.339276 | − | 0.587643i | ||||
\(69\) | 0.776927 | − | 4.73248i | 0.0935310 | − | 0.569724i | ||||
\(70\) | −0.205981 | − | 0.683769i | −0.0246194 | − | 0.0817261i | ||||
\(71\) | −2.58761 | + | 0.759792i | −0.307093 | + | 0.0901707i | −0.431648 | − | 0.902042i | \(-0.642068\pi\) |
0.124555 | + | 0.992213i | \(0.460250\pi\) | |||||||
\(72\) | 0.356594 | − | 0.0687279i | 0.0420250 | − | 0.00809966i | ||||
\(73\) | 10.2384 | + | 5.27828i | 1.19832 | + | 0.617776i | 0.937626 | − | 0.347646i | \(-0.113019\pi\) |
0.260693 | + | 0.965422i | \(0.416049\pi\) | |||||||
\(74\) | 8.57927 | − | 6.74682i | 0.997320 | − | 0.784301i | ||||
\(75\) | 4.42720 | − | 2.28238i | 0.511209 | − | 0.263547i | ||||
\(76\) | −3.58743 | + | 7.85538i | −0.411507 | + | 0.901074i | ||||
\(77\) | −2.76606 | − | 1.23990i | −0.315222 | − | 0.141300i | ||||
\(78\) | 0.352334 | − | 2.45054i | 0.0398940 | − | 0.277469i | ||||
\(79\) | −10.6102 | − | 1.01316i | −1.19375 | − | 0.113989i | −0.520799 | − | 0.853680i | \(-0.674366\pi\) |
−0.672947 | + | 0.739691i | \(0.734972\pi\) | |||||||
\(80\) | −0.141325 | − | 0.582551i | −0.0158006 | − | 0.0651312i | ||||
\(81\) | 0.235759 | + | 0.971812i | 0.0261954 | + | 0.107979i | ||||
\(82\) | −7.83252 | − | 0.747915i | −0.864957 | − | 0.0825934i | ||||
\(83\) | −1.61933 | + | 11.2627i | −0.177745 | + | 1.23624i | 0.684221 | + | 0.729275i | \(0.260142\pi\) |
−0.861965 | + | 0.506967i | \(0.830767\pi\) | |||||||
\(84\) | 0.489644 | + | 4.77448i | 0.0534246 | + | 0.520938i | ||||
\(85\) | −0.177093 | + | 0.387779i | −0.0192084 | + | 0.0420605i | ||||
\(86\) | −11.2271 | + | 5.78796i | −1.21065 | + | 0.624132i | ||||
\(87\) | −4.15795 | + | 3.26985i | −0.445779 | + | 0.350565i | ||||
\(88\) | −0.369818 | − | 0.190655i | −0.0394228 | − | 0.0203238i | ||||
\(89\) | 3.25366 | − | 0.627091i | 0.344887 | − | 0.0664715i | −0.0138665 | − | 0.999904i | \(-0.504414\pi\) |
0.358753 | + | 0.933432i | \(0.383202\pi\) | |||||||
\(90\) | 0.258979 | − | 0.0760431i | 0.0272988 | − | 0.00801565i | ||||
\(91\) | −3.26489 | − | 0.767904i | −0.342253 | − | 0.0804982i | ||||
\(92\) | 8.29699 | + | 2.61680i | 0.865021 | + | 0.272820i | ||||
\(93\) | 0.947753 | − | 1.64156i | 0.0982774 | − | 0.170221i | ||||
\(94\) | −5.00085 | − | 4.76830i | −0.515798 | − | 0.491813i | ||||
\(95\) | 0.215189 | − | 0.621748i | 0.0220779 | − | 0.0637900i | ||||
\(96\) | 0.368489 | + | 7.73553i | 0.0376087 | + | 0.789505i | ||||
\(97\) | 2.43915 | + | 16.9647i | 0.247659 | + | 1.72250i | 0.611673 | + | 0.791110i | \(0.290497\pi\) |
−0.364015 | + | 0.931393i | \(0.618594\pi\) | |||||||
\(98\) | 13.6694 | − | 0.191315i | 1.38082 | − | 0.0193257i | ||||
\(99\) | 0.475943 | − | 1.04217i | 0.0478340 | − | 0.104742i | ||||
\(100\) | 2.95525 | + | 8.53864i | 0.295525 | + | 0.853864i | ||||
\(101\) | −6.70525 | + | 2.68438i | −0.667197 | + | 0.267106i | −0.680437 | − | 0.732807i | \(-0.738210\pi\) |
0.0132393 | + | 0.999912i | \(0.495786\pi\) | |||||||
\(102\) | 3.49424 | − | 4.90697i | 0.345981 | − | 0.485862i | ||||
\(103\) | −4.96218 | + | 4.73143i | −0.488939 | + | 0.466202i | −0.893987 | − | 0.448093i | \(-0.852103\pi\) |
0.405048 | + | 0.914295i | \(0.367255\pi\) | |||||||
\(104\) | −0.441721 | − | 0.129701i | −0.0433143 | − | 0.0127182i | ||||
\(105\) | −0.0717126 | − | 0.358560i | −0.00699843 | − | 0.0349919i | ||||
\(106\) | −2.86980 | + | 19.9599i | −0.278740 | + | 1.93868i | ||||
\(107\) | 3.71207 | + | 10.7253i | 0.358859 | + | 1.03686i | 0.969530 | + | 0.244971i | \(0.0787785\pi\) |
−0.610671 | + | 0.791884i | \(0.709100\pi\) | |||||||
\(108\) | −1.80583 | + | 0.172436i | −0.173766 | + | 0.0165927i | ||||
\(109\) | 0.0638380 | − | 1.34012i | 0.00611457 | − | 0.128361i | −0.993746 | − | 0.111664i | \(-0.964382\pi\) |
0.999861 | − | 0.0166967i | \(-0.00531499\pi\) | |||||||
\(110\) | −0.287088 | − | 0.114933i | −0.0273728 | − | 0.0109584i | ||||
\(111\) | 4.70146 | − | 3.02144i | 0.446243 | − | 0.286783i | ||||
\(112\) | 11.4660 | + | 0.465804i | 1.08344 | + | 0.0440144i | ||||
\(113\) | −13.3085 | + | 3.90773i | −1.25196 | + | 0.367609i | −0.839496 | − | 0.543365i | \(-0.817150\pi\) |
−0.412464 | + | 0.910974i | \(0.635332\pi\) | |||||||
\(114\) | −4.64853 | + | 8.05149i | −0.435375 | + | 0.754091i | ||||
\(115\) | −0.648212 | − | 0.138376i | −0.0604460 | − | 0.0129037i | ||||
\(116\) | −4.79785 | − | 8.31011i | −0.445469 | − | 0.771575i | ||||
\(117\) | 0.298868 | − | 1.23195i | 0.0276304 | − | 0.113894i | ||||
\(118\) | −11.0541 | − | 12.7571i | −1.01761 | − | 1.17438i | ||||
\(119\) | −6.20484 | − | 5.30096i | −0.568797 | − | 0.485938i | ||||
\(120\) | −0.00714290 | − | 0.0496799i | −0.000652054 | − | 0.00453514i | ||||
\(121\) | 8.61047 | − | 4.43901i | 0.782770 | − | 0.403546i | ||||
\(122\) | −13.1676 | + | 1.25735i | −1.19213 | + | 0.113835i | ||||
\(123\) | −3.95603 | − | 0.762462i | −0.356703 | − | 0.0687489i | ||||
\(124\) | 2.70287 | + | 2.12556i | 0.242725 | + | 0.190881i | ||||
\(125\) | −0.573035 | − | 1.25477i | −0.0512539 | − | 0.112230i | ||||
\(126\) | 0.0361560 | + | 5.16692i | 0.00322103 | + | 0.460306i | ||||
\(127\) | −9.04156 | − | 2.65484i | −0.802309 | − | 0.235579i | −0.145227 | − | 0.989398i | \(-0.546391\pi\) |
−0.657082 | + | 0.753819i | \(0.728209\pi\) | |||||||
\(128\) | 2.87960 | + | 0.274969i | 0.254523 | + | 0.0243040i | ||||
\(129\) | −6.00444 | + | 2.40382i | −0.528662 | + | 0.211644i | ||||
\(130\) | −0.335981 | − | 0.0647549i | −0.0294674 | − | 0.00567938i | ||||
\(131\) | −2.45976 | − | 3.45426i | −0.214911 | − | 0.301800i | 0.693022 | − | 0.720917i | \(-0.256279\pi\) |
−0.907932 | + | 0.419117i | \(0.862340\pi\) | |||||||
\(132\) | 1.74843 | + | 1.12365i | 0.152181 | + | 0.0978009i | ||||
\(133\) | 10.3105 | + | 7.23391i | 0.894037 | + | 0.627259i | ||||
\(134\) | 6.78778 | − | 4.36224i | 0.586375 | − | 0.376840i | ||||
\(135\) | 0.135709 | − | 0.0261558i | 0.0116800 | − | 0.00225113i | ||||
\(136\) | −0.810704 | − | 0.773005i | −0.0695173 | − | 0.0662846i | ||||
\(137\) | −5.75563 | − | 9.96904i | −0.491737 | − | 0.851713i | 0.508218 | − | 0.861228i | \(-0.330304\pi\) |
−0.999955 | + | 0.00951554i | \(0.996971\pi\) | |||||||
\(138\) | 8.62410 | + | 3.65350i | 0.734132 | + | 0.311007i | ||||
\(139\) | 6.20675 | 0.526449 | 0.263225 | − | 0.964735i | \(-0.415214\pi\) | ||||
0.263225 | + | 0.964735i | \(0.415214\pi\) | |||||||
\(140\) | 0.662338 | − | 0.0361979i | 0.0559778 | − | 0.00305928i | ||||
\(141\) | −2.31697 | − | 2.67393i | −0.195124 | − | 0.225185i | ||||
\(142\) | −0.250607 | − | 5.26088i | −0.0210304 | − | 0.441483i | ||||
\(143\) | −1.14166 | + | 0.897809i | −0.0954702 | + | 0.0750786i | ||||
\(144\) | −0.206378 | + | 4.33241i | −0.0171982 | + | 0.361034i | ||||
\(145\) | 0.424061 | + | 0.595510i | 0.0352163 | + | 0.0494544i | ||||
\(146\) | −14.7317 | + | 17.0013i | −1.21921 | + | 1.40704i | ||||
\(147\) | 6.97693 | + | 0.567809i | 0.575448 | + | 0.0468321i | ||||
\(148\) | 4.21150 | + | 9.22189i | 0.346183 | + | 0.758035i | ||||
\(149\) | 5.76821 | − | 5.49998i | 0.472550 | − | 0.450576i | −0.415994 | − | 0.909368i | \(-0.636566\pi\) |
0.888544 | + | 0.458792i | \(0.151718\pi\) | |||||||
\(150\) | 2.29334 | + | 9.45329i | 0.187251 | + | 0.771858i | ||||
\(151\) | −10.5760 | + | 14.8519i | −0.860661 | + | 1.20863i | 0.115873 | + | 0.993264i | \(0.463034\pi\) |
−0.976534 | + | 0.215365i | \(0.930906\pi\) | |||||||
\(152\) | 1.35894 | + | 1.06868i | 0.110224 | + | 0.0866813i | ||||
\(153\) | 2.01994 | − | 2.33113i | 0.163302 | − | 0.188461i | ||||
\(154\) | 3.62679 | − | 4.67885i | 0.292255 | − | 0.377032i | ||||
\(155\) | −0.220385 | − | 0.141633i | −0.0177017 | − | 0.0113762i | ||||
\(156\) | 2.13491 | + | 0.854691i | 0.170930 | + | 0.0684300i | ||||
\(157\) | 9.03273 | + | 4.65670i | 0.720890 | + | 0.371645i | 0.779303 | − | 0.626648i | \(-0.215573\pi\) |
−0.0584123 | + | 0.998293i | \(0.518604\pi\) | |||||||
\(158\) | 6.80812 | − | 19.6708i | 0.541625 | − | 1.56492i | ||||
\(159\) | −2.43431 | + | 10.0344i | −0.193054 | + | 0.795778i | ||||
\(160\) | 1.07032 | 0.0846159 | ||||||||
\(161\) | 5.95947 | − | 11.2020i | 0.469672 | − | 0.882841i | ||||
\(162\) | −1.95296 | −0.153439 | ||||||||
\(163\) | −1.54319 | + | 6.36112i | −0.120872 | + | 0.498242i | 0.878902 | + | 0.477002i | \(0.158276\pi\) |
−0.999774 | + | 0.0212398i | \(0.993239\pi\) | |||||||
\(164\) | 2.39037 | − | 6.90653i | 0.186657 | − | 0.539310i | ||||
\(165\) | −0.140742 | − | 0.0725575i | −0.0109567 | − | 0.00564859i | ||||
\(166\) | −20.6300 | − | 8.25900i | −1.60120 | − | 0.641023i | ||||
\(167\) | 13.3583 | + | 8.58485i | 1.03370 | + | 0.664316i | 0.943420 | − | 0.331601i | \(-0.107589\pi\) |
0.0902759 | + | 0.995917i | \(0.471225\pi\) | |||||||
\(168\) | 0.951977 | + | 0.130081i | 0.0734466 | + | 0.0100360i | ||||
\(169\) | 7.46081 | − | 8.61024i | 0.573909 | − | 0.662326i | ||||
\(170\) | −0.654430 | − | 0.514650i | −0.0501925 | − | 0.0394718i | ||||
\(171\) | −2.76136 | + | 3.87779i | −0.211167 | + | 0.296542i | ||||
\(172\) | −2.76611 | − | 11.4021i | −0.210914 | − | 0.869399i | ||||
\(173\) | −10.9478 | + | 10.4387i | −0.832345 | + | 0.793639i | −0.980746 | − | 0.195288i | \(-0.937436\pi\) |
0.148401 | + | 0.988927i | \(0.452587\pi\) | |||||||
\(174\) | −4.29144 | − | 9.39694i | −0.325333 | − | 0.712380i | ||||
\(175\) | 13.0306 | − | 1.96669i | 0.985024 | − | 0.148667i | ||||
\(176\) | 3.25419 | − | 3.75554i | 0.245294 | − | 0.283085i | ||||
\(177\) | −5.01361 | − | 7.04064i | −0.376846 | − | 0.529207i | ||||
\(178\) | −0.307912 | + | 6.46387i | −0.0230790 | + | 0.484488i | ||||
\(179\) | 13.2928 | − | 10.4536i | 0.993549 | − | 0.781335i | 0.0177136 | − | 0.999843i | \(-0.494361\pi\) |
0.975835 | + | 0.218508i | \(0.0701189\pi\) | |||||||
\(180\) | 0.0119294 | + | 0.250430i | 0.000889168 | + | 0.0186659i | ||||
\(181\) | 3.36509 | + | 3.88352i | 0.250125 | + | 0.288660i | 0.866902 | − | 0.498478i | \(-0.166108\pi\) |
−0.616777 | + | 0.787138i | \(0.711562\pi\) | |||||||
\(182\) | 2.96066 | − | 5.84290i | 0.219458 | − | 0.433104i | ||||
\(183\) | −6.77303 | −0.500677 | ||||||||
\(184\) | 0.900687 | − | 1.49066i | 0.0663996 | − | 0.109893i | ||||
\(185\) | −0.386194 | − | 0.668907i | −0.0283935 | − | 0.0491790i | ||||
\(186\) | 2.67915 | + | 2.55457i | 0.196445 | + | 0.187310i | ||||
\(187\) | −3.47009 | + | 0.668806i | −0.253758 | + | 0.0489079i | ||||
\(188\) | 5.39942 | − | 3.47000i | 0.393793 | − | 0.253076i | ||||
\(189\) | −0.233059 | + | 2.63547i | −0.0169525 | + | 0.191702i | ||||
\(190\) | 1.08094 | + | 0.694679i | 0.0784198 | + | 0.0503973i | ||||
\(191\) | 7.87694 | + | 11.0616i | 0.569955 | + | 0.800390i | 0.994469 | − | 0.105031i | \(-0.0334943\pi\) |
−0.424514 | + | 0.905422i | \(0.639555\pi\) | |||||||
\(192\) | −6.33310 | − | 1.22061i | −0.457052 | − | 0.0880896i | ||||
\(193\) | 19.6552 | − | 7.86876i | 1.41481 | − | 0.566406i | 0.466722 | − | 0.884404i | \(-0.345435\pi\) |
0.948091 | + | 0.317998i | \(0.103011\pi\) | |||||||
\(194\) | −33.3205 | − | 3.18172i | −2.39227 | − | 0.228434i | ||||
\(195\) | −0.168106 | − | 0.0493603i | −0.0120383 | − | 0.00353477i | ||||
\(196\) | −2.82075 | + | 12.3811i | −0.201482 | + | 0.884363i | ||||
\(197\) | −5.92185 | − | 12.9670i | −0.421914 | − | 0.923863i | −0.994570 | − | 0.104067i | \(-0.966814\pi\) |
0.572656 | − | 0.819796i | \(-0.305913\pi\) | |||||||
\(198\) | 1.75880 | + | 1.38314i | 0.124993 | + | 0.0982954i | ||||
\(199\) | 19.4627 | + | 3.75112i | 1.37967 | + | 0.265910i | 0.824517 | − | 0.565837i | \(-0.191447\pi\) |
0.555155 | + | 0.831747i | \(0.312659\pi\) | |||||||
\(200\) | 1.80066 | − | 0.171942i | 0.127326 | − | 0.0121581i | ||||
\(201\) | 3.67222 | − | 1.89316i | 0.259019 | − | 0.133533i | ||||
\(202\) | −2.00742 | − | 13.9619i | −0.141242 | − | 0.982357i | ||||
\(203\) | −13.1930 | + | 4.66979i | −0.925970 | + | 0.327755i | ||||
\(204\) | 3.66426 | + | 4.22878i | 0.256550 | + | 0.296074i | ||||
\(205\) | −0.131274 | + | 0.541117i | −0.00916854 | + | 0.0377932i | ||||
\(206\) | −6.69510 | − | 11.5962i | −0.466470 | − | 0.807949i | ||||
\(207\) | 4.21809 | + | 2.28204i | 0.293178 | + | 0.158613i | ||||
\(208\) | 2.74918 | − | 4.76172i | 0.190622 | − | 0.330166i | ||||
\(209\) | 5.23320 | − | 1.53660i | 0.361988 | − | 0.106289i | ||||
\(210\) | 0.713532 | + | 0.0289871i | 0.0492384 | + | 0.00200030i | ||||
\(211\) | 14.0654 | − | 9.03927i | 0.968301 | − | 0.622289i | 0.0420175 | − | 0.999117i | \(-0.486621\pi\) |
0.926283 | + | 0.376828i | \(0.122985\pi\) | |||||||
\(212\) | −17.3891 | − | 6.96155i | −1.19429 | − | 0.478121i | ||||
\(213\) | 0.128322 | − | 2.69380i | 0.00879245 | − | 0.184576i | ||||
\(214\) | −22.0648 | + | 2.10693i | −1.50832 | + | 0.144027i | ||||
\(215\) | 0.292361 | + | 0.844723i | 0.0199389 | + | 0.0576096i | ||||
\(216\) | −0.0516826 | + | 0.359461i | −0.00351656 | + | 0.0244582i | ||||
\(217\) | 3.76704 | − | 3.31059i | 0.255723 | − | 0.224738i | ||||
\(218\) | 2.51404 | + | 0.738189i | 0.170272 | + | 0.0499965i | ||||
\(219\) | −8.33665 | + | 7.94898i | −0.563338 | + | 0.537142i | ||||
\(220\) | 0.166618 | − | 0.233982i | 0.0112334 | − | 0.0157751i | ||||
\(221\) | −3.63011 | + | 1.45328i | −0.244188 | + | 0.0977581i | ||||
\(222\) | 3.56974 | + | 10.3141i | 0.239585 | + | 0.692236i | ||||
\(223\) | 6.88853 | − | 15.0838i | 0.461290 | − | 1.01008i | −0.525902 | − | 0.850545i | \(-0.676272\pi\) |
0.987192 | − | 0.159539i | \(-0.0510008\pi\) | |||||||
\(224\) | −5.63485 | + | 19.6994i | −0.376494 | + | 1.31622i | ||||
\(225\) | 0.708856 | + | 4.93020i | 0.0472571 | + | 0.328680i | ||||
\(226\) | −1.28891 | − | 27.0576i | −0.0857371 | − | 1.79984i | ||||
\(227\) | −3.26747 | + | 9.44073i | −0.216869 | + | 0.626603i | 0.783119 | + | 0.621871i | \(0.213627\pi\) |
−0.999989 | + | 0.00473167i | \(0.998494\pi\) | |||||||
\(228\) | −6.25001 | − | 5.95937i | −0.413917 | − | 0.394669i | ||||
\(229\) | −6.10691 | + | 10.5775i | −0.403556 | + | 0.698979i | −0.994152 | − | 0.107988i | \(-0.965559\pi\) |
0.590596 | + | 0.806967i | \(0.298893\pi\) | |||||||
\(230\) | 0.561080 | − | 1.16653i | 0.0369965 | − | 0.0769189i | ||||
\(231\) | 2.07640 | − | 2.20840i | 0.136617 | − | 0.145302i | ||||
\(232\) | −1.84316 | + | 0.541202i | −0.121010 | + | 0.0355316i | ||||
\(233\) | 9.60111 | − | 1.85046i | 0.628990 | − | 0.121228i | 0.135213 | − | 0.990817i | \(-0.456828\pi\) |
0.493777 | + | 0.869589i | \(0.335616\pi\) | |||||||
\(234\) | 2.20052 | + | 1.13445i | 0.143853 | + | 0.0741612i | ||||
\(235\) | −0.384373 | + | 0.302275i | −0.0250738 | + | 0.0197182i | ||||
\(236\) | 13.9364 | − | 7.18471i | 0.907182 | − | 0.467685i | ||||
\(237\) | 4.42770 | − | 9.69532i | 0.287610 | − | 0.629778i | ||||
\(238\) | 12.9176 | − | 9.33550i | 0.837325 | − | 0.605131i | ||||
\(239\) | 1.39668 | − | 9.71411i | 0.0903436 | − | 0.628354i | −0.893465 | − | 0.449132i | \(-0.851733\pi\) |
0.983809 | − | 0.179221i | \(-0.0573578\pi\) | |||||||
\(240\) | 0.596734 | + | 0.0569812i | 0.0385190 | + | 0.00367812i | ||||
\(241\) | 0.821030 | + | 3.38433i | 0.0528872 | + | 0.218004i | 0.992123 | − | 0.125269i | \(-0.0399795\pi\) |
−0.939236 | + | 0.343273i | \(0.888464\pi\) | |||||||
\(242\) | 4.46033 | + | 18.3857i | 0.286721 | + | 1.18188i | ||||
\(243\) | −0.995472 | − | 0.0950560i | −0.0638596 | − | 0.00609785i | ||||
\(244\) | 1.74857 | − | 12.1615i | 0.111940 | − | 0.778563i | ||||
\(245\) | 0.124268 | − | 0.959434i | 0.00793917 | − | 0.0612960i | ||||
\(246\) | 3.26855 | − | 7.15712i | 0.208395 | − | 0.456321i | ||||
\(247\) | 5.36396 | − | 2.76531i | 0.341301 | − | 0.175953i | ||||
\(248\) | 0.541093 | − | 0.425520i | 0.0343594 | − | 0.0270205i | ||||
\(249\) | −10.1136 | − | 5.21394i | −0.640925 | − | 0.330420i | ||||
\(250\) | 2.64528 | − | 0.509837i | 0.167302 | − | 0.0322449i | ||||
\(251\) | −17.3043 | + | 5.08100i | −1.09224 | + | 0.320710i | −0.777764 | − | 0.628557i | \(-0.783646\pi\) |
−0.314473 | + | 0.949266i | \(0.601828\pi\) | |||||||
\(252\) | −4.67203 | − | 1.09886i | −0.294310 | − | 0.0692219i | ||||
\(253\) | −2.18254 | − | 5.04254i | −0.137215 | − | 0.317022i | ||||
\(254\) | 9.20163 | − | 15.9377i | 0.577362 | − | 1.00002i | ||||
\(255\) | −0.308530 | − | 0.294183i | −0.0193209 | − | 0.0184224i | ||||
\(256\) | −6.06666 | + | 17.5285i | −0.379166 | + | 1.09553i | ||||
\(257\) | −0.989989 | − | 20.7824i | −0.0617538 | − | 1.29637i | −0.790871 | − | 0.611983i | \(-0.790372\pi\) |
0.729117 | − | 0.684389i | \(-0.239931\pi\) | |||||||
\(258\) | −1.79761 | − | 12.5027i | −0.111914 | − | 0.778382i | ||||
\(259\) | 14.3446 | − | 3.58643i | 0.891329 | − | 0.222850i | ||||
\(260\) | 0.132030 | − | 0.289105i | 0.00818814 | − | 0.0179295i | ||||
\(261\) | −1.73008 | − | 4.99873i | −0.107089 | − | 0.309414i | ||||
\(262\) | 7.68840 | − | 3.07797i | 0.474991 | − | 0.190158i | ||||
\(263\) | 5.64492 | − | 7.92718i | 0.348081 | − | 0.488811i | −0.603005 | − | 0.797737i | \(-0.706030\pi\) |
0.951086 | + | 0.308926i | \(0.0999696\pi\) | |||||||
\(264\) | 0.301124 | − | 0.287122i | 0.0185329 | − | 0.0176711i | ||||
\(265\) | 1.36924 | + | 0.402045i | 0.0841118 | + | 0.0246974i | ||||
\(266\) | −18.4765 | + | 16.2378i | −1.13287 | + | 0.995601i | ||||
\(267\) | −0.471566 | + | 3.27981i | −0.0288593 | + | 0.200721i | ||||
\(268\) | 2.45129 | + | 7.08253i | 0.149736 | + | 0.432635i | ||||
\(269\) | 6.66152 | − | 0.636098i | 0.406160 | − | 0.0387836i | 0.110023 | − | 0.993929i | \(-0.464908\pi\) |
0.296137 | + | 0.955145i | \(0.404301\pi\) | |||||||
\(270\) | −0.0128429 | + | 0.269607i | −0.000781597 | + | 0.0164077i | ||||
\(271\) | −19.4446 | − | 7.78445i | −1.18118 | − | 0.472872i | −0.303829 | − | 0.952727i | \(-0.598265\pi\) |
−0.877348 | + | 0.479855i | \(0.840689\pi\) | |||||||
\(272\) | 11.2548 | − | 7.23302i | 0.682422 | − | 0.438566i | ||||
\(273\) | 1.79351 | − | 2.83417i | 0.108548 | − | 0.171532i | ||||
\(274\) | 21.5704 | − | 6.33363i | 1.30311 | − | 0.382629i | ||||
\(275\) | 2.85332 | − | 4.94209i | 0.172062 | − | 0.298019i | ||||
\(276\) | −5.18656 | + | 6.98479i | −0.312194 | + | 0.420435i | ||||
\(277\) | −11.2532 | − | 19.4911i | −0.676139 | − | 1.17111i | −0.976134 | − | 0.217167i | \(-0.930318\pi\) |
0.299995 | − | 0.953941i | \(-0.403015\pi\) | |||||||
\(278\) | −2.85776 | + | 11.7798i | −0.171397 | + | 0.706507i | ||||
\(279\) | 1.24129 | + | 1.43253i | 0.0743142 | + | 0.0857632i | ||||
\(280\) | 0.0242181 | − | 0.130565i | 0.00144731 | − | 0.00780277i | ||||
\(281\) | 0.958033 | + | 6.66326i | 0.0571514 | + | 0.397497i | 0.998238 | + | 0.0593320i | \(0.0188971\pi\) |
−0.941087 | + | 0.338165i | \(0.890194\pi\) | |||||||
\(282\) | 6.14167 | − | 3.16625i | 0.365731 | − | 0.188547i | ||||
\(283\) | 2.49959 | − | 0.238682i | 0.148585 | − | 0.0141882i | −0.0204983 | − | 0.999790i | \(-0.506525\pi\) |
0.169084 | + | 0.985602i | \(0.445919\pi\) | |||||||
\(284\) | 4.80382 | + | 0.925860i | 0.285054 | + | 0.0549397i | ||||
\(285\) | 0.517171 | + | 0.406708i | 0.0306346 | + | 0.0240913i | ||||
\(286\) | −1.17831 | − | 2.58014i | −0.0696749 | − | 0.152567i | ||||
\(287\) | −9.26828 | − | 5.26492i | −0.547090 | − | 0.310778i | ||||
\(288\) | −7.43061 | − | 2.18182i | −0.437853 | − | 0.128565i | ||||
\(289\) | 7.45179 | + | 0.711560i | 0.438341 | + | 0.0418564i | ||||
\(290\) | −1.32547 | + | 0.530639i | −0.0778344 | + | 0.0311602i | ||||
\(291\) | −16.8294 | − | 3.24360i | −0.986558 | − | 0.190143i | ||||
\(292\) | −12.1208 | − | 17.0213i | −0.709317 | − | 0.996096i | ||||
\(293\) | −25.4897 | − | 16.3813i | −1.48913 | − | 0.957003i | −0.996215 | − | 0.0869240i | \(-0.972296\pi\) |
−0.492911 | − | 0.870079i | \(-0.664067\pi\) | |||||||
\(294\) | −4.29002 | + | 12.9801i | −0.250199 | + | 0.757017i | ||||
\(295\) | −1.00493 | + | 0.645831i | −0.0585094 | + | 0.0376017i | ||||
\(296\) | 1.99287 | − | 0.384095i | 0.115833 | − | 0.0223251i | ||||
\(297\) | 0.829185 | + | 0.790626i | 0.0481142 | + | 0.0458768i | ||||
\(298\) | 7.78261 | + | 13.4799i | 0.450834 | + | 0.780868i | ||||
\(299\) | −3.42719 | − | 5.02155i | −0.198199 | − | 0.290404i | ||||
\(300\) | −9.03559 | −0.521670 | ||||||||
\(301\) | −17.0865 | + | 0.933808i | −0.984851 | + | 0.0538238i | ||||
\(302\) | −23.3180 | − | 26.9105i | −1.34180 | − | 1.54852i | ||||
\(303\) | −0.343666 | − | 7.21444i | −0.0197431 | − | 0.414459i | ||||
\(304\) | −16.2303 | + | 12.7637i | −0.930872 | + | 0.732046i | ||||
\(305\) | −0.0445405 | + | 0.935020i | −0.00255038 | + | 0.0535391i | ||||
\(306\) | 3.49424 | + | 4.90697i | 0.199752 | + | 0.280513i | ||||
\(307\) | 8.46493 | − | 9.76905i | 0.483119 | − | 0.557549i | −0.460895 | − | 0.887455i | \(-0.652472\pi\) |
0.944014 | + | 0.329906i | \(0.107017\pi\) | |||||||
\(308\) | 3.42931 | + | 4.29848i | 0.195403 | + | 0.244929i | ||||
\(309\) | −2.84824 | − | 6.23677i | −0.162031 | − | 0.354797i | ||||
\(310\) | 0.370277 | − | 0.353059i | 0.0210303 | − | 0.0200524i | ||||
\(311\) | 6.04579 | + | 24.9211i | 0.342825 | + | 1.41314i | 0.838626 | + | 0.544708i | \(0.183360\pi\) |
−0.495800 | + | 0.868437i | \(0.665125\pi\) | |||||||
\(312\) | 0.267040 | − | 0.375005i | 0.0151182 | − | 0.0212305i | ||||
\(313\) | 1.72409 | + | 1.35584i | 0.0974511 | + | 0.0766364i | 0.665696 | − | 0.746223i | \(-0.268135\pi\) |
−0.568245 | + | 0.822860i | \(0.692377\pi\) | |||||||
\(314\) | −12.9969 | + | 14.9992i | −0.733457 | + | 0.846455i | ||||
\(315\) | 0.362294 | + | 0.0495051i | 0.0204130 | + | 0.00278929i | ||||
\(316\) | 16.2657 | + | 10.4533i | 0.915015 | + | 0.588045i | ||||
\(317\) | 23.3760 | + | 9.35834i | 1.31293 | + | 0.525617i | 0.919265 | − | 0.393638i | \(-0.128784\pi\) |
0.393662 | + | 0.919255i | \(0.371208\pi\) | |||||||
\(318\) | −17.9235 | − | 9.24020i | −1.00510 | − | 0.518165i | ||||
\(319\) | −1.98216 | + | 5.72707i | −0.110979 | + | 0.320654i | ||||
\(320\) | −0.210152 | + | 0.866260i | −0.0117479 | + | 0.0484254i | ||||
\(321\) | −11.3495 | −0.633469 | ||||||||
\(322\) | 18.5165 | + | 16.4682i | 1.03188 | + | 0.917739i | ||||
\(323\) | 14.6839 | 0.817034 | ||||||||
\(324\) | 0.427678 | − | 1.76291i | 0.0237599 | − | 0.0979396i | ||||
\(325\) | 2.06518 | − | 5.96694i | 0.114555 | − | 0.330986i | ||||
\(326\) | −11.3623 | − | 5.85767i | −0.629299 | − | 0.324426i | ||||
\(327\) | 1.24554 | + | 0.498639i | 0.0688785 | + | 0.0275748i | ||||
\(328\) | −1.23084 | − | 0.791011i | −0.0679616 | − | 0.0436763i | ||||
\(329\) | −3.53985 | − | 8.66587i | −0.195158 | − | 0.477765i | ||||
\(330\) | 0.202509 | − | 0.233708i | 0.0111477 | − | 0.0128652i | ||||
\(331\) | 5.37900 | + | 4.23009i | 0.295657 | + | 0.232507i | 0.754957 | − | 0.655774i | \(-0.227658\pi\) |
−0.459301 | + | 0.888281i | \(0.651900\pi\) | |||||||
\(332\) | 11.9731 | − | 16.8138i | 0.657107 | − | 0.922777i | ||||
\(333\) | 1.31757 | + | 5.43110i | 0.0722024 | + | 0.297622i | ||||
\(334\) | −22.4438 | + | 21.4001i | −1.22807 | + | 1.17096i | ||||
\(335\) | −0.237203 | − | 0.519401i | −0.0129598 | − | 0.0283779i | ||||
\(336\) | −4.19036 | + | 10.6831i | −0.228603 | + | 0.582809i | ||||
\(337\) | −11.6917 | + | 13.4930i | −0.636889 | + | 0.735009i | −0.978822 | − | 0.204715i | \(-0.934373\pi\) |
0.341932 | + | 0.939725i | \(0.388919\pi\) | |||||||
\(338\) | 12.9063 | + | 18.1243i | 0.702009 | + | 0.985833i | ||||
\(339\) | 0.659979 | − | 13.8547i | 0.0358451 | − | 0.752482i | ||||
\(340\) | 0.607882 | − | 0.478043i | 0.0329670 | − | 0.0259255i | ||||
\(341\) | −0.103333 | − | 2.16923i | −0.00559580 | − | 0.117470i | ||||
\(342\) | −6.08828 | − | 7.02625i | −0.329217 | − | 0.379936i | ||||
\(343\) | 17.0044 | + | 7.33827i | 0.918152 | + | 0.396229i | ||||
\(344\) | −2.34880 | −0.126639 | ||||||||
\(345\) | 0.342775 | − | 0.567302i | 0.0184544 | − | 0.0305425i | ||||
\(346\) | −14.7710 | − | 25.5842i | −0.794095 | − | 1.37541i | ||||
\(347\) | −2.20834 | − | 2.10565i | −0.118550 | − | 0.113037i | 0.628486 | − | 0.777821i | \(-0.283675\pi\) |
−0.747036 | + | 0.664784i | \(0.768524\pi\) | |||||||
\(348\) | 9.42229 | − | 1.81600i | 0.505088 | − | 0.0973476i | ||||
\(349\) | −5.46424 | + | 3.51165i | −0.292494 | + | 0.187974i | −0.678656 | − | 0.734457i | \(-0.737437\pi\) |
0.386162 | + | 0.922431i | \(0.373801\pi\) | |||||||
\(350\) | −2.26708 | + | 25.6365i | −0.121180 | + | 1.37033i | ||||
\(351\) | 1.06644 | + | 0.685362i | 0.0569226 | + | 0.0365819i | ||||
\(352\) | 5.14666 | + | 7.22747i | 0.274318 | + | 0.385226i | ||||
\(353\) | 13.0098 | + | 2.50743i | 0.692441 | + | 0.133457i | 0.523317 | − | 0.852138i | \(-0.324694\pi\) |
0.169123 | + | 0.985595i | \(0.445906\pi\) | |||||||
\(354\) | 15.6709 | − | 6.27368i | 0.832898 | − | 0.333442i | ||||
\(355\) | −0.371036 | − | 0.0354297i | −0.0196926 | − | 0.00188041i | ||||
\(356\) | −5.76743 | − | 1.69347i | −0.305673 | − | 0.0897537i | ||||
\(357\) | 7.03882 | − | 4.12980i | 0.372534 | − | 0.218572i | ||||
\(358\) | 13.7195 | + | 30.0416i | 0.725099 | + | 1.58775i | ||||
\(359\) | −10.9667 | − | 8.62430i | −0.578800 | − | 0.455173i | 0.285339 | − | 0.958427i | \(-0.407894\pi\) |
−0.864139 | + | 0.503254i | \(0.832136\pi\) | |||||||
\(360\) | 0.0492838 | + | 0.00949867i | 0.00259748 | + | 0.000500624i | ||||
\(361\) | −3.64579 | + | 0.348131i | −0.191884 | + | 0.0183227i | ||||
\(362\) | −8.91994 | + | 4.59855i | −0.468821 | + | 0.241694i | ||||
\(363\) | 1.37866 | + | 9.58876i | 0.0723606 | + | 0.503279i | ||||
\(364\) | 4.62596 | + | 3.95208i | 0.242466 | + | 0.207145i | ||||
\(365\) | 1.04254 | + | 1.20315i | 0.0545688 | + | 0.0629758i | ||||
\(366\) | 3.11849 | − | 12.8546i | 0.163006 | − | 0.671920i | ||||
\(367\) | 4.80525 | + | 8.32294i | 0.250832 | + | 0.434454i | 0.963755 | − | 0.266788i | \(-0.0859624\pi\) |
−0.712923 | + | 0.701242i | \(0.752629\pi\) | |||||||
\(368\) | 14.7656 | + | 14.6514i | 0.769709 | + | 0.763756i | ||||
\(369\) | 2.01442 | − | 3.48907i | 0.104866 | − | 0.181634i | ||||
\(370\) | 1.44734 | − | 0.424977i | 0.0752435 | − | 0.0220935i | ||||
\(371\) | −14.6083 | + | 23.0846i | −0.758427 | + | 1.19849i | ||||
\(372\) | −2.89268 | + | 1.85901i | −0.149979 | + | 0.0963854i | ||||
\(373\) | 6.19634 | + | 2.48064i | 0.320834 | + | 0.128443i | 0.526489 | − | 0.850182i | \(-0.323508\pi\) |
−0.205655 | + | 0.978625i | \(0.565932\pi\) | |||||||
\(374\) | 0.328395 | − | 6.89385i | 0.0169809 | − | 0.356473i | ||||
\(375\) | 1.37318 | − | 0.131123i | 0.0709109 | − | 0.00677117i | ||||
\(376\) | −0.420247 | − | 1.21422i | −0.0216726 | − | 0.0626188i | ||||
\(377\) | −0.954310 | + | 6.63737i | −0.0491494 | + | 0.341842i | ||||
\(378\) | −4.89457 | − | 1.65577i | −0.251749 | − | 0.0851634i | ||||
\(379\) | −31.8172 | − | 9.34238i | −1.63434 | − | 0.479886i | −0.669520 | − | 0.742794i | \(-0.733500\pi\) |
−0.964821 | + | 0.262909i | \(0.915318\pi\) | |||||||
\(380\) | −0.863794 | + | 0.823626i | −0.0443117 | + | 0.0422511i | ||||
\(381\) | 5.46603 | − | 7.67597i | 0.280033 | − | 0.393252i | ||||
\(382\) | −24.6207 | + | 9.85663i | −1.25970 | + | 0.504309i | ||||
\(383\) | 11.9135 | + | 34.4218i | 0.608752 | + | 1.75887i | 0.650234 | + | 0.759734i | \(0.274671\pi\) |
−0.0414827 | + | 0.999139i | \(0.513208\pi\) | |||||||
\(384\) | −1.20167 | + | 2.63129i | −0.0613225 | + | 0.134278i | ||||
\(385\) | −0.291216 | − | 0.301170i | −0.0148417 | − | 0.0153491i | ||||
\(386\) | 5.88438 | + | 40.9268i | 0.299507 | + | 2.08312i | ||||
\(387\) | −0.307747 | − | 6.46041i | −0.0156437 | − | 0.328401i | ||||
\(388\) | 10.1689 | − | 29.3812i | 0.516250 | − | 1.49161i | ||||
\(389\) | −2.08270 | − | 1.98585i | −0.105597 | − | 0.100687i | 0.635442 | − | 0.772149i | \(-0.280818\pi\) |
−0.741039 | + | 0.671462i | \(0.765667\pi\) | |||||||
\(390\) | 0.171082 | − | 0.296323i | 0.00866307 | − | 0.0150049i | ||||
\(391\) | −1.81321 | − | 14.6813i | −0.0916977 | − | 0.742467i | ||||
\(392\) | 2.27559 | + | 1.13312i | 0.114935 | + | 0.0572313i | ||||
\(393\) | 4.06878 | − | 1.19470i | 0.205243 | − | 0.0602648i | ||||
\(394\) | 27.3368 | − | 5.26874i | 1.37721 | − | 0.265435i | ||||
\(395\) | −1.30932 | − | 0.675004i | −0.0658793 | − | 0.0339631i | ||||
\(396\) | −1.63370 | + | 1.28476i | −0.0820967 | + | 0.0645615i | ||||
\(397\) | 10.9125 | − | 5.62581i | 0.547685 | − | 0.282351i | −0.162094 | − | 0.986775i | \(-0.551825\pi\) |
0.709779 | + | 0.704424i | \(0.248795\pi\) | |||||||
\(398\) | −16.0804 | + | 35.2112i | −0.806039 | + | 1.76498i | ||||
\(399\) | −10.2083 | + | 7.37749i | −0.511054 | + | 0.369336i | ||||
\(400\) | −3.07454 | + | 21.3839i | −0.153727 | + | 1.06919i | ||||
\(401\) | −18.5912 | − | 1.77524i | −0.928398 | − | 0.0886513i | −0.380111 | − | 0.924941i | \(-0.624114\pi\) |
−0.548288 | + | 0.836290i | \(0.684720\pi\) | |||||||
\(402\) | 1.90226 | + | 7.84120i | 0.0948759 | + | 0.391084i | ||||
\(403\) | −0.566506 | − | 2.33517i | −0.0282197 | − | 0.116323i | ||||
\(404\) | 13.0429 | + | 1.24544i | 0.648906 | + | 0.0619630i | ||||
\(405\) | −0.0196689 | + | 0.136800i | −0.000977355 | + | 0.00679765i | ||||
\(406\) | −2.78838 | − | 27.1893i | −0.138385 | − | 1.34938i | ||||
\(407\) | 2.65987 | − | 5.82430i | 0.131845 | − | 0.288700i | ||||
\(408\) | 0.995645 | − | 0.513291i | 0.0492918 | − | 0.0254117i | ||||
\(409\) | 26.4210 | − | 20.7777i | 1.30643 | − | 1.02739i | 0.309359 | − | 0.950945i | \(-0.399885\pi\) |
0.997074 | − | 0.0764450i | \(-0.0243570\pi\) | |||||||
\(410\) | −0.966548 | − | 0.498290i | −0.0477344 | − | 0.0246088i | ||||
\(411\) | 11.3032 | − | 2.17852i | 0.557548 | − | 0.107458i | ||||
\(412\) | 11.9340 | − | 3.50413i | 0.587944 | − | 0.172636i | ||||
\(413\) | −6.59606 | − | 21.8961i | −0.324571 | − | 1.07744i | ||||
\(414\) | −6.27323 | + | 6.95484i | −0.308312 | + | 0.341812i | ||||
\(415\) | −0.786295 | + | 1.36190i | −0.0385977 | + | 0.0668532i | ||||
\(416\) | 7.10514 | + | 6.77474i | 0.348358 | + | 0.332159i | ||||
\(417\) | −2.03003 | + | 5.86538i | −0.0994109 | + | 0.287229i | ||||
\(418\) | 0.506827 | + | 10.6396i | 0.0247897 | + | 0.520401i | ||||
\(419\) | −2.08324 | − | 14.4892i | −0.101773 | − | 0.707845i | −0.975270 | − | 0.221016i | \(-0.929063\pi\) |
0.873497 | − | 0.486829i | \(-0.161846\pi\) | |||||||
\(420\) | −0.182423 | + | 0.637749i | −0.00890131 | + | 0.0311190i | ||||
\(421\) | −13.2476 | + | 29.0083i | −0.645651 | + | 1.41378i | 0.249659 | + | 0.968334i | \(0.419682\pi\) |
−0.895310 | + | 0.445444i | \(0.853046\pi\) | |||||||
\(422\) | 10.6796 | + | 30.8567i | 0.519876 | + | 1.50208i | ||||
\(423\) | 3.28467 | − | 1.31498i | 0.159706 | − | 0.0639367i | ||||
\(424\) | −2.17507 | + | 3.05446i | −0.105631 | + | 0.148338i | ||||
\(425\) | 11.1192 | − | 10.6022i | 0.539363 | − | 0.514281i | ||||
\(426\) | 5.05350 | + | 1.48384i | 0.244843 | + | 0.0718924i | ||||
\(427\) | −16.9748 | − | 5.74234i | −0.821468 | − | 0.277891i | ||||
\(428\) | 2.93006 | − | 20.3790i | 0.141630 | − | 0.985058i | ||||
\(429\) | −0.475031 | − | 1.37251i | −0.0229347 | − | 0.0662655i | ||||
\(430\) | −1.73782 | + | 0.165941i | −0.0838050 | + | 0.00800241i | ||||
\(431\) | −1.34777 | + | 28.2931i | −0.0649197 | + | 1.36283i | 0.697888 | + | 0.716207i | \(0.254123\pi\) |
−0.762808 | + | 0.646625i | \(0.776180\pi\) | |||||||
\(432\) | −4.02663 | − | 1.61202i | −0.193732 | − | 0.0775584i | ||||
\(433\) | 34.5124 | − | 22.1798i | 1.65856 | − | 1.06589i | 0.738388 | − | 0.674376i | \(-0.235587\pi\) |
0.920171 | − | 0.391516i | \(-0.128049\pi\) | |||||||
\(434\) | 4.54875 | + | 8.67378i | 0.218347 | + | 0.416355i | ||||
\(435\) | −0.701454 | + | 0.205965i | −0.0336321 | + | 0.00987529i | ||||
\(436\) | −1.21690 | + | 2.10774i | −0.0582791 | + | 0.100942i | ||||
\(437\) | 4.93955 | + | 22.2898i | 0.236291 | + | 1.06627i | ||||
\(438\) | −11.2480 | − | 19.4821i | −0.537450 | − | 0.930891i | ||||
\(439\) | 3.09849 | − | 12.7721i | 0.147883 | − | 0.609581i | −0.848837 | − | 0.528654i | \(-0.822697\pi\) |
0.996720 | − | 0.0809268i | \(-0.0257880\pi\) | |||||||
\(440\) | −0.0376570 | − | 0.0434585i | −0.00179523 | − | 0.00207180i | ||||
\(441\) | −2.81851 | + | 6.40750i | −0.134215 | + | 0.305119i | ||||
\(442\) | −1.08678 | − | 7.55875i | −0.0516931 | − | 0.359533i | ||||
\(443\) | −8.86582 | + | 4.57065i | −0.421228 | + | 0.217158i | −0.655790 | − | 0.754943i | \(-0.727664\pi\) |
0.234563 | + | 0.972101i | \(0.424634\pi\) | |||||||
\(444\) | −10.0921 | + | 0.963683i | −0.478952 | + | 0.0457344i | ||||
\(445\) | 0.449678 | + | 0.0866683i | 0.0213168 | + | 0.00410847i | ||||
\(446\) | 25.4560 | + | 20.0188i | 1.20537 | + | 0.947917i | ||||
\(447\) | 3.31089 | + | 7.24983i | 0.156600 | + | 0.342905i | ||||
\(448\) | −14.8374 | − | 8.42848i | −0.700999 | − | 0.398208i | ||||
\(449\) | −16.9686 | − | 4.98242i | −0.800796 | − | 0.235135i | −0.144368 | − | 0.989524i | \(-0.546115\pi\) |
−0.656427 | + | 0.754389i | \(0.727933\pi\) | |||||||
\(450\) | −9.68344 | − | 0.924657i | −0.456482 | − | 0.0435887i | ||||
\(451\) | −4.28521 | + | 1.71554i | −0.201783 | + | 0.0807815i | ||||
\(452\) | 24.7068 | + | 4.76185i | 1.16211 | + | 0.223978i | ||||
\(453\) | −10.5760 | − | 14.8519i | −0.496903 | − | 0.697802i | ||||
\(454\) | −16.4132 | − | 10.5481i | −0.770310 | − | 0.495048i | ||||
\(455\) | −0.379463 | − | 0.266233i | −0.0177895 | − | 0.0124812i | ||||
\(456\) | −1.45437 | + | 0.934665i | −0.0681070 | + | 0.0437697i | ||||
\(457\) | 12.0727 | − | 2.32683i | 0.564738 | − | 0.108844i | 0.101112 | − | 0.994875i | \(-0.467760\pi\) |
0.463627 | + | 0.886031i | \(0.346548\pi\) | |||||||
\(458\) | −17.2633 | − | 16.4605i | −0.806660 | − | 0.769149i | ||||
\(459\) | 1.54226 | + | 2.67128i | 0.0719867 | + | 0.124685i | ||||
\(460\) | 0.930145 | + | 0.761939i | 0.0433682 | + | 0.0355256i | ||||
\(461\) | 28.1933 | 1.31309 | 0.656546 | − | 0.754286i | \(-0.272017\pi\) | ||||
0.656546 | + | 0.754286i | \(0.272017\pi\) | |||||||
\(462\) | 3.23531 | + | 4.95762i | 0.150520 | + | 0.230649i | ||||
\(463\) | 8.54659 | + | 9.86329i | 0.397194 | + | 0.458386i | 0.918755 | − | 0.394828i | \(-0.129196\pi\) |
−0.521561 | + | 0.853214i | \(0.674650\pi\) | |||||||
\(464\) | −1.09167 | − | 22.9170i | −0.0506795 | − | 1.06389i | ||||
\(465\) | 0.205924 | − | 0.161940i | 0.00954949 | − | 0.00750980i | ||||
\(466\) | −0.908608 | + | 19.0740i | −0.0420905 | + | 0.883588i | ||||
\(467\) | −8.91197 | − | 12.5151i | −0.412397 | − | 0.579130i | 0.555173 | − | 0.831735i | \(-0.312652\pi\) |
−0.967570 | + | 0.252605i | \(0.918713\pi\) | |||||||
\(468\) | −1.50595 | + | 1.73795i | −0.0696123 | + | 0.0803369i | ||||
\(469\) | 10.8085 | − | 1.63130i | 0.499091 | − | 0.0753266i | ||||
\(470\) | −0.396713 | − | 0.868681i | −0.0182990 | − | 0.0400693i | ||||
\(471\) | −7.35490 | + | 7.01288i | −0.338896 | + | 0.323137i | ||||
\(472\) | −0.740019 | − | 3.05040i | −0.0340621 | − | 0.140406i | ||||
\(473\) | −4.29829 | + | 6.03610i | −0.197636 | + | 0.277540i | ||||
\(474\) | 16.3622 | + | 12.8674i | 0.751540 | + | 0.591017i | ||||
\(475\) | −15.5278 | + | 17.9200i | −0.712463 | + | 0.822227i | ||||
\(476\) | 5.59822 | + | 13.7050i | 0.256594 | + | 0.628166i | ||||
\(477\) | −8.68631 | − | 5.58235i | −0.397719 | − | 0.255598i | ||||
\(478\) | 17.7934 | + | 7.12341i | 0.813852 | + | 0.325817i | ||||
\(479\) | −24.6242 | − | 12.6946i | −1.12511 | − | 0.580033i | −0.207783 | − | 0.978175i | \(-0.566625\pi\) |
−0.917324 | + | 0.398142i | \(0.869655\pi\) | |||||||
\(480\) | −0.350066 | + | 1.01145i | −0.0159783 | + | 0.0461662i | ||||
\(481\) | 1.67026 | − | 6.88492i | 0.0761575 | − | 0.313925i | ||||
\(482\) | −6.80118 | −0.309785 | ||||||||
\(483\) | 8.63674 | + | 9.29552i | 0.392985 | + | 0.422961i | ||||
\(484\) | −17.5733 | −0.798788 | ||||||||
\(485\) | −0.558453 | + | 2.30198i | −0.0253581 | + | 0.104527i | ||||
\(486\) | 0.638750 | − | 1.84555i | 0.0289743 | − | 0.0837157i | ||||
\(487\) | 2.73520 | + | 1.41010i | 0.123944 | + | 0.0638975i | 0.519083 | − | 0.854724i | \(-0.326273\pi\) |
−0.395139 | + | 0.918621i | \(0.629304\pi\) | |||||||
\(488\) | −2.28348 | − | 0.914169i | −0.103368 | − | 0.0413825i | ||||
\(489\) | −5.50654 | − | 3.53884i | −0.249014 | − | 0.160032i | ||||
\(490\) | 1.76370 | + | 0.677598i | 0.0796759 | + | 0.0306108i | ||||
\(491\) | 10.2793 | − | 11.8630i | 0.463899 | − | 0.535368i | −0.474805 | − | 0.880091i | \(-0.657482\pi\) |
0.938705 | + | 0.344722i | \(0.112027\pi\) | |||||||
\(492\) | 5.74487 | + | 4.51781i | 0.258999 | + | 0.203679i | ||||
\(493\) | −9.46427 | + | 13.2907i | −0.426249 | + | 0.598583i | ||||
\(494\) | 2.77860 | + | 11.4535i | 0.125015 | + | 0.515319i | ||||
\(495\) | 0.114599 | − | 0.109270i | 0.00515085 | − | 0.00491132i | ||||
\(496\) | 3.41530 | + | 7.47847i | 0.153352 | + | 0.335793i | ||||
\(497\) | 2.60547 | − | 6.64249i | 0.116871 | − | 0.297957i | ||||
\(498\) | 14.5522 | − | 16.7941i | 0.652098 | − | 0.752561i | ||||
\(499\) | −0.719406 | − | 1.01026i | −0.0322051 | − | 0.0452257i | 0.798159 | − | 0.602446i | \(-0.205807\pi\) |
−0.830365 | + | 0.557221i | \(0.811868\pi\) | |||||||
\(500\) | −0.119067 | + | 2.49952i | −0.00532482 | + | 0.111782i | ||||
\(501\) | −12.4818 | + | 9.81577i | −0.557644 | + | 0.438536i | ||||
\(502\) | −1.67590 | − | 35.1814i | −0.0747989 | − | 1.57022i | ||||
\(503\) | −21.9198 | − | 25.2968i | −0.977355 | − | 1.12793i | −0.991770 | − | 0.128032i | \(-0.959134\pi\) |
0.0144148 | − | 0.999896i | \(-0.495411\pi\) | |||||||
\(504\) | −0.434288 | + | 0.857074i | −0.0193447 | + | 0.0381771i | ||||
\(505\) | −0.998216 | −0.0444200 | ||||||||
\(506\) | 10.5752 | − | 1.82055i | 0.470124 | − | 0.0809331i | ||||
\(507\) | 5.69649 | + | 9.86660i | 0.252990 | + | 0.438191i | ||||
\(508\) | 12.3717 | + | 11.7964i | 0.548905 | + | 0.523380i | ||||
\(509\) | −4.18719 | + | 0.807014i | −0.185594 | + | 0.0357703i | −0.281201 | − | 0.959649i | \(-0.590733\pi\) |
0.0956073 | + | 0.995419i | \(0.469521\pi\) | |||||||
\(510\) | 0.700388 | − | 0.450112i | 0.0310137 | − | 0.0199313i | ||||
\(511\) | −27.6329 | + | 12.8540i | −1.22241 | + | 0.568626i | ||||
\(512\) | −25.6072 | − | 16.4567i | −1.13169 | − | 0.727292i | ||||
\(513\) | −2.76136 | − | 3.87779i | −0.121917 | − | 0.171209i | ||||
\(514\) | 39.8990 | + | 7.68990i | 1.75987 | + | 0.339187i | ||||
\(515\) | −0.879718 | + | 0.352186i | −0.0387650 | + | 0.0155192i | ||||
\(516\) | 11.6797 | + | 1.11527i | 0.514168 | + | 0.0490971i | ||||
\(517\) | −3.88943 | − | 1.14204i | −0.171057 | − | 0.0502269i | ||||
\(518\) | 0.202063 | + | 28.8760i | 0.00887812 | + | 1.26874i | ||||
\(519\) | −6.28391 | − | 13.7598i | −0.275833 | − | 0.603990i | ||||
\(520\) | −0.0500135 | − | 0.0393311i | −0.00219324 | − | 0.00172478i | ||||
\(521\) | 8.57252 | + | 1.65222i | 0.375569 | + | 0.0723849i | 0.373543 | − | 0.927613i | \(-0.378143\pi\) |
0.00202608 | + | 0.999998i | \(0.499355\pi\) | |||||||
\(522\) | 10.2837 | − | 0.981975i | 0.450106 | − | 0.0429799i | ||||
\(523\) | −14.3698 | + | 7.40814i | −0.628347 | + | 0.323935i | −0.742820 | − | 0.669491i | \(-0.766512\pi\) |
0.114473 | + | 0.993426i | \(0.463482\pi\) | |||||||
\(524\) | 1.09477 | + | 7.61427i | 0.0478251 | + | 0.332631i | ||||
\(525\) | −2.40339 | + | 12.9572i | −0.104892 | + | 0.565499i | ||||
\(526\) | 12.4460 | + | 14.3634i | 0.542671 | + | 0.626275i | ||||
\(527\) | 1.37842 | − | 5.68193i | 0.0600450 | − | 0.247509i | ||||
\(528\) | 2.48465 | + | 4.30353i | 0.108130 | + | 0.187287i | ||||
\(529\) | 21.6760 | − | 7.69109i | 0.942433 | − | 0.334395i | ||||
\(530\) | −1.39348 | + | 2.41358i | −0.0605289 | + | 0.104839i | ||||
\(531\) | 8.29320 | − | 2.43510i | 0.359894 | − | 0.105674i | ||||
\(532\) | −10.6115 | − | 20.2345i | −0.460065 | − | 0.877275i | ||||
\(533\) | −4.29653 | + | 2.76121i | −0.186103 | + | 0.119601i | ||||
\(534\) | −6.00766 | − | 2.40510i | −0.259977 | − | 0.104079i | ||||
\(535\) | −0.0746362 | + | 1.56681i | −0.00322680 | + | 0.0677390i | ||||
\(536\) | 1.49359 | − | 0.142620i | 0.0645132 | − | 0.00616027i | ||||
\(537\) | 5.53098 | + | 15.9807i | 0.238679 | + | 0.689618i | ||||
\(538\) | −1.85989 | + | 12.9358i | −0.0801856 | + | 0.557703i | ||||
\(539\) | 7.07627 | − | 3.77434i | 0.304797 | − | 0.162572i | ||||
\(540\) | −0.240558 | − | 0.0706343i | −0.0103520 | − | 0.00303961i | ||||
\(541\) | −20.0021 | + | 19.0720i | −0.859957 | + | 0.819967i | −0.985066 | − | 0.172176i | \(-0.944920\pi\) |
0.125109 | + | 0.992143i | \(0.460072\pi\) | |||||||
\(542\) | 23.7270 | − | 33.3199i | 1.01916 | − | 1.43121i | ||||
\(543\) | −4.77054 | + | 1.90984i | −0.204723 | + | 0.0819589i | ||||
\(544\) | 7.81285 | + | 22.5737i | 0.334973 | + | 0.967841i | ||||
\(545\) | 0.0770281 | − | 0.168668i | 0.00329952 | − | 0.00722495i | ||||
\(546\) | 4.55321 | + | 4.70885i | 0.194859 | + | 0.201520i | ||||
\(547\) | −5.48200 | − | 38.1281i | −0.234393 | − | 1.63024i | −0.678735 | − | 0.734383i | \(-0.737471\pi\) |
0.444342 | − | 0.895857i | \(-0.353438\pi\) | |||||||
\(548\) | 0.993604 | + | 20.8583i | 0.0424447 | + | 0.891023i | ||||
\(549\) | 2.21524 | − | 6.40052i | 0.0945442 | − | 0.273168i | ||||
\(550\) | 8.06589 | + | 7.69081i | 0.343931 | + | 0.327937i | ||||
\(551\) | 12.5907 | − | 21.8078i | 0.536382 | − | 0.929042i | ||||
\(552\) | 1.11409 | + | 1.33870i | 0.0474188 | + | 0.0569788i | ||||
\(553\) | 19.3168 | − | 20.5448i | 0.821433 | − | 0.873653i | ||||
\(554\) | 42.1736 | − | 12.3833i | 1.79179 | − | 0.526116i | ||||
\(555\) | 0.758429 | − | 0.146175i | 0.0321935 | − | 0.00620480i | ||||
\(556\) | −10.0077 | − | 5.15932i | −0.424421 | − | 0.218804i | ||||
\(557\) | 7.96254 | − | 6.26181i | 0.337383 | − | 0.265321i | −0.435065 | − | 0.900399i | \(-0.643274\pi\) |
0.772448 | + | 0.635078i | \(0.219032\pi\) | |||||||
\(558\) | −3.29033 | + | 1.69628i | −0.139291 | + | 0.0718094i | ||||
\(559\) | −3.40601 | + | 7.45813i | −0.144059 | + | 0.315445i | ||||
\(560\) | 1.44724 | + | 0.648733i | 0.0611572 | + | 0.0274140i | ||||
\(561\) | 0.502934 | − | 3.49799i | 0.0212339 | − | 0.147685i | ||||
\(562\) | −13.0874 | − | 1.24969i | −0.552057 | − | 0.0527151i | ||||
\(563\) | −3.53934 | − | 14.5894i | −0.149165 | − | 0.614868i | −0.996484 | − | 0.0837832i | \(-0.973300\pi\) |
0.847319 | − | 0.531085i | \(-0.178215\pi\) | |||||||
\(564\) | 1.51317 | + | 6.23738i | 0.0637161 | + | 0.262641i | ||||
\(565\) | −1.90830 | − | 0.182221i | −0.0802828 | − | 0.00766607i | ||||
\(566\) | −0.697884 | + | 4.85389i | −0.0293343 | + | 0.204024i | ||||
\(567\) | −2.41429 | − | 1.08222i | −0.101391 | − | 0.0454489i | ||||
\(568\) | 0.406850 | − | 0.890877i | 0.0170710 | − | 0.0373804i | ||||
\(569\) | 13.7152 | − | 7.07069i | 0.574972 | − | 0.296419i | −0.146110 | − | 0.989268i | \(-0.546675\pi\) |
0.721082 | + | 0.692850i | \(0.243645\pi\) | |||||||
\(570\) | −1.01001 | + | 0.794284i | −0.0423048 | + | 0.0332689i | ||||
\(571\) | 8.75026 | + | 4.51107i | 0.366187 | + | 0.188782i | 0.631493 | − | 0.775382i | \(-0.282443\pi\) |
−0.265306 | + | 0.964164i | \(0.585473\pi\) | |||||||
\(572\) | 2.58710 | − | 0.498622i | 0.108172 | − | 0.0208484i | ||||
\(573\) | −13.0295 | + | 3.82581i | −0.544316 | + | 0.159826i | ||||
\(574\) | 14.2597 | − | 15.1662i | 0.595189 | − | 0.633026i | ||||
\(575\) | 19.8343 | + | 13.3123i | 0.827147 | + | 0.555159i | ||||
\(576\) | 3.22483 | − | 5.58557i | 0.134368 | − | 0.232732i | ||||
\(577\) | −18.3041 | − | 17.4530i | −0.762011 | − | 0.726576i | 0.205707 | − | 0.978614i | \(-0.434051\pi\) |
−0.967717 | + | 0.252038i | \(0.918899\pi\) | |||||||
\(578\) | −4.78148 | + | 13.8152i | −0.198883 | + | 0.574636i | ||||
\(579\) | 1.00739 | + | 21.1478i | 0.0418659 | + | 0.878873i | ||||
\(580\) | −0.188737 | − | 1.31269i | −0.00783686 | − | 0.0545066i | ||||
\(581\) | −20.9266 | − | 21.6419i | −0.868181 | − | 0.897858i | ||||
\(582\) | 13.9048 | − | 30.4472i | 0.576372 | − | 1.26208i | ||||
\(583\) | 3.86918 | + | 11.1793i | 0.160245 | + | 0.462997i | ||||
\(584\) | −3.88353 | + | 1.55473i | −0.160702 | + | 0.0643353i | ||||
\(585\) | 0.101628 | − | 0.142716i | 0.00420178 | − | 0.00590058i | ||||
\(586\) | 42.8263 | − | 40.8348i | 1.76914 | − | 1.68687i | ||||
\(587\) | 37.4782 | + | 11.0046i | 1.54689 | + | 0.454208i | 0.940169 | − | 0.340708i | \(-0.110667\pi\) |
0.606720 | + | 0.794915i | \(0.292485\pi\) | |||||||
\(588\) | −10.7775 | − | 6.71507i | −0.444459 | − | 0.276925i | ||||
\(589\) | −1.28419 | + | 8.93171i | −0.0529140 | + | 0.368025i | ||||
\(590\) | −0.763029 | − | 2.20463i | −0.0314134 | − | 0.0907631i | ||||
\(591\) | 14.1907 | − | 1.35505i | 0.583728 | − | 0.0557392i | ||||
\(592\) | −1.15337 | + | 24.2123i | −0.0474033 | + | 0.995118i | ||||
\(593\) | −22.4458 | − | 8.98595i | −0.921739 | − | 0.369009i | −0.138238 | − | 0.990399i | \(-0.544144\pi\) |
−0.783501 | + | 0.621390i | \(0.786568\pi\) | |||||||
\(594\) | −1.88232 | + | 1.20969i | −0.0772323 | + | 0.0496342i | ||||
\(595\) | −0.523832 | − | 0.998869i | −0.0214750 | − | 0.0409496i | ||||
\(596\) | −13.8724 | + | 4.07331i | −0.568237 | + | 0.166849i | ||||
\(597\) | −9.91043 | + | 17.1654i | −0.405607 | + | 0.702532i | ||||
\(598\) | 11.1084 | − | 4.19242i | 0.454257 | − | 0.171441i | ||||
\(599\) | −1.82127 | − | 3.15454i | −0.0744153 | − | 0.128891i | 0.826417 | − | 0.563059i | \(-0.190376\pi\) |
−0.900832 | + | 0.434168i | \(0.857042\pi\) | |||||||
\(600\) | −0.426452 | + | 1.75786i | −0.0174098 | + | 0.0717643i | ||||
\(601\) | 21.0350 | + | 24.2757i | 0.858036 | + | 0.990226i | 1.00000 | 0.000354186i | \(0.000112741\pi\) | |
−0.141964 | + | 0.989872i | \(0.545342\pi\) | |||||||
\(602\) | 6.09483 | − | 32.8586i | 0.248407 | − | 1.33922i | ||||
\(603\) | 0.587974 | + | 4.08945i | 0.0239441 | + | 0.166535i | ||||
\(604\) | 29.3982 | − | 15.1558i | 1.19619 | − | 0.616681i | ||||
\(605\) | 1.33280 | − | 0.127267i | 0.0541859 | − | 0.00517413i | ||||
\(606\) | 13.8506 | + | 2.66948i | 0.562641 | + | 0.108440i | ||||
\(607\) | 5.14919 | + | 4.04936i | 0.208999 | + | 0.164359i | 0.717172 | − | 0.696897i | \(-0.245436\pi\) |
−0.508173 | + | 0.861255i | \(0.669679\pi\) | |||||||
\(608\) | −15.3150 | − | 33.5352i | −0.621106 | − | 1.36003i | ||||
\(609\) | −0.0979298 | − | 13.9948i | −0.00396832 | − | 0.567097i | ||||
\(610\) | −1.75407 | − | 0.515042i | −0.0710204 | − | 0.0208535i | ||||
\(611\) | −4.46491 | − | 0.426347i | −0.180631 | − | 0.0172481i | ||||
\(612\) | −5.19467 | + | 2.07963i | −0.209982 | + | 0.0840641i | ||||
\(613\) | −5.02572 | − | 0.968628i | −0.202987 | − | 0.0391225i | 0.0867442 | − | 0.996231i | \(-0.472354\pi\) |
−0.289731 | + | 0.957108i | \(0.593566\pi\) | |||||||
\(614\) | 14.6433 | + | 20.5636i | 0.590954 | + | 0.829879i | ||||
\(615\) | −0.468420 | − | 0.301036i | −0.0188885 | − | 0.0121389i | ||||
\(616\) | 0.998116 | − | 0.464292i | 0.0402152 | − | 0.0187069i | ||||
\(617\) | −25.9658 | + | 16.6872i | −1.04534 | + | 0.671802i | −0.946303 | − | 0.323282i | \(-0.895214\pi\) |
−0.0990408 | + | 0.995083i | \(0.531577\pi\) | |||||||
\(618\) | 13.1482 | − | 2.53411i | 0.528899 | − | 0.101937i | ||||
\(619\) | 1.38992 | + | 1.32529i | 0.0558657 | + | 0.0532679i | 0.717498 | − | 0.696561i | \(-0.245287\pi\) |
−0.661632 | + | 0.749829i | \(0.730136\pi\) | |||||||
\(620\) | 0.237615 | + | 0.411561i | 0.00954284 | + | 0.0165287i | ||||
\(621\) | −3.53613 | + | 3.23972i | −0.141900 | + | 0.130005i | ||||
\(622\) | −50.0816 | −2.00809 | ||||||||
\(623\) | −3.96255 | + | 7.82016i | −0.158756 | + | 0.313308i | ||||
\(624\) | 3.60066 | + | 4.15539i | 0.144142 | + | 0.166349i | ||||
\(625\) | 1.17593 | + | 24.6859i | 0.0470373 | + | 0.987434i | ||||
\(626\) | −3.36707 | + | 2.64789i | −0.134575 | + | 0.105831i | ||||
\(627\) | −0.259518 | + | 5.44795i | −0.0103641 | + | 0.217570i | ||||
\(628\) | −10.6934 | − | 15.0168i | −0.426714 | − | 0.599236i | ||||
\(629\) | 11.2887 | − | 13.0278i | 0.450109 | − | 0.519454i | ||||
\(630\) | −0.260766 | + | 0.664808i | −0.0103892 | + | 0.0264866i | ||||
\(631\) | 11.3449 | + | 24.8419i | 0.451634 | + | 0.988941i | 0.989315 | + | 0.145793i | \(0.0465733\pi\) |
−0.537681 | + | 0.843148i | \(0.680699\pi\) | |||||||
\(632\) | 2.80137 | − | 2.67110i | 0.111432 | − | 0.106251i | ||||
\(633\) | 3.94178 | + | 16.2483i | 0.156672 | + | 0.645810i | ||||
\(634\) | −28.5242 | + | 40.0567i | −1.13284 | + | 1.59085i | ||||
\(635\) | −1.02372 | − | 0.805066i | −0.0406253 | − | 0.0319481i | ||||
\(636\) | 12.2661 | − | 14.1558i | 0.486382 | − | 0.561315i | ||||
\(637\) | 6.89783 | − | 5.58250i | 0.273302 | − | 0.221187i | ||||
\(638\) | −9.95681 | − | 6.39885i | −0.394194 | − | 0.253333i | ||||
\(639\) | 2.50367 | + | 1.00232i | 0.0990438 | + | 0.0396512i | ||||
\(640\) | 0.355348 | + | 0.183195i | 0.0140464 | + | 0.00724141i | ||||
\(641\) | 10.5640 | − | 30.5226i | 0.417253 | − | 1.20557i | −0.519162 | − | 0.854676i | \(-0.673756\pi\) |
0.936414 | − | 0.350896i | \(-0.114123\pi\) | |||||||
\(642\) | 5.22564 | − | 21.5404i | 0.206239 | − | 0.850131i | ||||
\(643\) | 16.8111 | 0.662963 | 0.331482 | − | 0.943462i | \(-0.392452\pi\) | ||||
0.331482 | + | 0.943462i | \(0.392452\pi\) | |||||||
\(644\) | −18.9206 | + | 13.1082i | −0.745576 | + | 0.516536i | ||||
\(645\) | −0.893886 | −0.0351967 | ||||||||
\(646\) | −6.76087 | + | 27.8687i | −0.266003 | + | 1.09648i | ||||
\(647\) | −8.39366 | + | 24.2519i | −0.329989 | + | 0.953441i | 0.650949 | + | 0.759121i | \(0.274371\pi\) |
−0.980938 | + | 0.194319i | \(0.937750\pi\) | |||||||
\(648\) | −0.322787 | − | 0.166408i | −0.0126803 | − | 0.00653713i | ||||
\(649\) | −9.19333 | − | 3.68045i | −0.360870 | − | 0.144470i | ||||
\(650\) | 10.3738 | + | 6.66686i | 0.406895 | + | 0.261496i | ||||
\(651\) | 1.89643 | + | 4.64264i | 0.0743271 | + | 0.181960i | ||||
\(652\) | 7.77588 | − | 8.97384i | 0.304527 | − | 0.351443i | ||||
\(653\) | −20.5888 | − | 16.1912i | −0.805702 | − | 0.633611i | 0.127955 | − | 0.991780i | \(-0.459159\pi\) |
−0.933657 | + | 0.358169i | \(0.883401\pi\) | |||||||
\(654\) | −1.51985 | + | 2.13433i | −0.0594309 | + | 0.0834590i | ||||
\(655\) | −0.138172 | − | 0.569554i | −0.00539883 | − | 0.0222543i | ||||
\(656\) | 12.6468 | − | 12.0587i | 0.493774 | − | 0.470813i | ||||
\(657\) | −4.78514 | − | 10.4780i | −0.186686 | − | 0.408785i | ||||
\(658\) | 18.0769 | − | 2.72830i | 0.704709 | − | 0.106360i | ||||
\(659\) | 5.72108 | − | 6.60248i | 0.222862 | − | 0.257196i | −0.633297 | − | 0.773909i | \(-0.718299\pi\) |
0.856159 | + | 0.516712i | \(0.172844\pi\) | |||||||
\(660\) | 0.166618 | + | 0.233982i | 0.00648559 | + | 0.00910774i | ||||
\(661\) | 2.04143 | − | 42.8549i | 0.0794024 | − | 1.66686i | −0.510870 | − | 0.859658i | \(-0.670677\pi\) |
0.590273 | − | 0.807204i | \(-0.299020\pi\) | |||||||
\(662\) | −10.5050 | + | 8.26120i | −0.408287 | + | 0.321081i | ||||
\(663\) | −0.186055 | − | 3.90578i | −0.00722579 | − | 0.151688i | ||||
\(664\) | −2.70601 | − | 3.12290i | −0.105013 | − | 0.121192i | ||||
\(665\) | 0.951334 | + | 1.45777i | 0.0368911 | + | 0.0565301i | ||||
\(666\) | −10.9144 | −0.422923 | ||||||||
\(667\) | −23.3587 | − | 9.89563i | −0.904451 | − | 0.383160i | ||||
\(668\) | −14.4027 | − | 24.9461i | −0.557256 | − | 0.965195i | ||||
\(669\) | 12.0012 | + | 11.4431i | 0.463992 | + | 0.442415i | ||||
\(670\) | 1.09499 | − | 0.211042i | 0.0423032 | − | 0.00815327i | ||||
\(671\) | −6.52804 | + | 4.19531i | −0.252012 | + | 0.161958i | ||||
\(672\) | −16.7730 | − | 11.7680i | −0.647033 | − | 0.453960i | ||||
\(673\) | −26.0596 | − | 16.7475i | −1.00452 | − | 0.645568i | −0.0685532 | − | 0.997647i | \(-0.521838\pi\) |
−0.935970 | + | 0.352080i | \(0.885475\pi\) | |||||||
\(674\) | −20.2252 | − | 28.4024i | −0.779047 | − | 1.09402i | ||||
\(675\) | −4.89089 | − | 0.942641i | −0.188250 | − | 0.0362823i | ||||
\(676\) | −19.1870 | + | 7.68130i | −0.737960 | + | 0.295434i | ||||
\(677\) | 19.4952 | + | 1.86156i | 0.749261 | + | 0.0715457i | 0.462698 | − | 0.886516i | \(-0.346881\pi\) |
0.286562 | + | 0.958062i | \(0.407487\pi\) | |||||||
\(678\) | 25.9910 | + | 7.63164i | 0.998178 | + | 0.293091i | ||||
\(679\) | −39.4284 | − | 22.3976i | −1.51312 | − | 0.859541i | ||||
\(680\) | −0.0643125 | − | 0.140825i | −0.00246627 | − | 0.00540038i | ||||
\(681\) | −7.85281 | − | 6.17552i | −0.300920 | − | 0.236646i | ||||
\(682\) | 4.16457 | + | 0.802656i | 0.159470 | + | 0.0307353i | ||||
\(683\) | −44.9029 | + | 4.28771i | −1.71816 | + | 0.164065i | −0.907106 | − | 0.420903i | \(-0.861713\pi\) |
−0.811057 | + | 0.584967i | \(0.801107\pi\) | |||||||
\(684\) | 7.67578 | − | 3.95714i | 0.293491 | − | 0.151305i | ||||
\(685\) | −0.226414 | − | 1.57474i | −0.00865082 | − | 0.0601678i | ||||
\(686\) | −21.7567 | + | 28.8940i | −0.830673 | + | 1.10318i | ||||
\(687\) | −7.99835 | − | 9.23059i | −0.305156 | − | 0.352169i | ||||
\(688\) | 6.61367 | − | 27.2619i | 0.252144 | − | 1.03935i | ||||
\(689\) | 6.54470 | + | 11.3358i | 0.249333 | + | 0.431858i | ||||
\(690\) | 0.918864 | + | 0.911757i | 0.0349805 | + | 0.0347100i | ||||
\(691\) | −10.3304 | + | 17.8927i | −0.392986 | + | 0.680672i | −0.992842 | − | 0.119436i | \(-0.961891\pi\) |
0.599856 | + | 0.800108i | \(0.295225\pi\) | |||||||
\(692\) | 26.3292 | − | 7.73096i | 1.00089 | − | 0.293887i | ||||
\(693\) | 1.40782 | + | 2.68450i | 0.0534786 | + | 0.101976i | ||||
\(694\) | 5.01310 | − | 3.22172i | 0.190295 | − | 0.122295i | ||||
\(695\) | 0.796368 | + | 0.318818i | 0.0302080 | + | 0.0120934i | ||||
\(696\) | 0.0914037 | − | 1.91880i | 0.00346465 | − | 0.0727320i | ||||
\(697\) | −12.3708 | + | 1.18127i | −0.468577 | + | 0.0447437i | ||||
\(698\) | −4.14891 | − | 11.9875i | −0.157038 | − | 0.453733i | ||||
\(699\) | −1.39153 | + | 9.67829i | −0.0526324 | + | 0.366066i | ||||
\(700\) | −22.6453 | − | 7.66059i | −0.855911 | − | 0.289543i | ||||
\(701\) | −8.57399 | − | 2.51755i | −0.323835 | − | 0.0950866i | 0.115774 | − | 0.993276i | \(-0.463065\pi\) |
−0.439610 | + | 0.898189i | \(0.644883\pi\) | |||||||
\(702\) | −1.79178 | + | 1.70845i | −0.0676262 | + | 0.0644815i | ||||
\(703\) | −15.4322 | + | 21.6715i | −0.582038 | + | 0.817358i | ||||
\(704\) | −6.86008 | + | 2.74636i | −0.258549 | + | 0.103507i | ||||
\(705\) | −0.159933 | − | 0.462097i | −0.00602344 | − | 0.0174036i | ||||
\(706\) | −10.7489 | + | 23.5369i | −0.404541 | + | 0.885822i | ||||
\(707\) | 5.25527 | − | 18.3724i | 0.197645 | − | 0.690966i | ||||
\(708\) | 2.23141 | + | 15.5198i | 0.0838615 | + | 0.583269i | ||||
\(709\) | 1.60981 | + | 33.7941i | 0.0604578 | + | 1.26917i | 0.801618 | + | 0.597837i | \(0.203973\pi\) |
−0.741160 | + | 0.671328i | \(0.765724\pi\) | |||||||
\(710\) | 0.238078 | − | 0.687880i | 0.00893489 | − | 0.0258157i | ||||
\(711\) | 7.71392 | + | 7.35521i | 0.289295 | + | 0.275842i | ||||
\(712\) | −0.601667 | + | 1.04212i | −0.0225484 | + | 0.0390550i | ||||
\(713\) | 9.08872 | + | 0.181051i | 0.340375 | + | 0.00678043i | ||||
\(714\) | 4.59712 | + | 15.2605i | 0.172043 | + | 0.571110i | ||||
\(715\) | −0.192600 | + | 0.0565523i | −0.00720282 | + | 0.00211494i | ||||
\(716\) | −30.1226 | + | 5.80566i | −1.12573 | + | 0.216968i | ||||
\(717\) | 8.72303 | + | 4.49704i | 0.325768 | + | 0.167945i | ||||
\(718\) | 21.4175 | − | 16.8429i | 0.799294 | − | 0.628571i | ||||
\(719\) | 32.2588 | − | 16.6306i | 1.20305 | − | 0.620215i | 0.264175 | − | 0.964475i | \(-0.414900\pi\) |
0.938874 | + | 0.344260i | \(0.111870\pi\) | |||||||
\(720\) | −0.249020 | + | 0.545277i | −0.00928042 | + | 0.0203213i | ||||
\(721\) | −1.85066 | − | 18.0456i | −0.0689221 | − | 0.672053i | ||||
\(722\) | 1.01790 | − | 7.07966i | 0.0378824 | − | 0.263478i | ||||
\(723\) | −3.46673 | − | 0.331033i | −0.128929 | − | 0.0123112i | ||||
\(724\) | −2.19768 | − | 9.05895i | −0.0816761 | − | 0.336673i | ||||
\(725\) | −6.21160 | − | 25.6046i | −0.230693 | − | 0.950930i | ||||
\(726\) | −18.8334 | − | 1.79837i | −0.698971 | − | 0.0667437i | ||||
\(727\) | −2.38644 | + | 16.5981i | −0.0885083 | + | 0.615589i | 0.896495 | + | 0.443054i | \(0.146105\pi\) |
−0.985003 | + | 0.172535i | \(0.944804\pi\) | |||||||
\(728\) | 0.987203 | − | 0.713447i | 0.0365882 | − | 0.0264421i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −2.76348 | + | 1.42467i | −0.102281 | + | 0.0527295i | ||||
\(731\) | −15.6817 | + | 12.3322i | −0.580009 | + | 0.456124i | ||||
\(732\) | 10.9208 | + | 5.63005i | 0.403643 | + | 0.208093i | ||||
\(733\) | −32.7915 | + | 6.32005i | −1.21118 | + | 0.233436i | −0.754564 | − | 0.656227i | \(-0.772152\pi\) |
−0.456618 | + | 0.889663i | \(0.650939\pi\) | |||||||
\(734\) | −18.0087 | + | 5.28782i | −0.664712 | + | 0.195177i | ||||
\(735\) | 0.866022 | + | 0.431233i | 0.0319437 | + | 0.0159063i | ||||
\(736\) | −31.6382 | + | 19.4533i | −1.16620 | + | 0.717060i | ||||
\(737\) | 2.36674 | − | 4.09931i | 0.0871799 | − | 0.151000i | ||||
\(738\) | 5.69444 | + | 5.42964i | 0.209615 | + | 0.199868i | ||||
\(739\) | −10.9439 | + | 31.6203i | −0.402578 | + | 1.16317i | 0.543549 | + | 0.839377i | \(0.317080\pi\) |
−0.946127 | + | 0.323795i | \(0.895041\pi\) | |||||||
\(740\) | 0.0666693 | + | 1.39956i | 0.00245081 | + | 0.0514489i | ||||
\(741\) | 0.858844 | + | 5.97339i | 0.0315504 | + | 0.219438i | ||||
\(742\) | −37.0864 | − | 38.3541i | −1.36148 | − | 1.40802i | ||||
\(743\) | 12.4266 | − | 27.2104i | 0.455887 | − | 0.998254i | −0.532519 | − | 0.846418i | \(-0.678754\pi\) |
0.988406 | − | 0.151836i | \(-0.0485184\pi\) | |||||||
\(744\) | 0.225143 | + | 0.650507i | 0.00825413 | + | 0.0238487i | ||||
\(745\) | 1.02261 | − | 0.409393i | 0.0374657 | − | 0.0149990i | ||||
\(746\) | −7.56099 | + | 10.6179i | −0.276827 | + | 0.388750i | ||||
\(747\) | 8.23502 | − | 7.85208i | 0.301304 | − | 0.287292i | ||||
\(748\) | 6.15109 | + | 1.80612i | 0.224906 | + | 0.0660383i | ||||
\(749\) | −28.4446 | − | 9.62241i | −1.03934 | − | 0.351595i | ||||
\(750\) | −0.383392 | + | 2.66655i | −0.0139995 | + | 0.0973685i | ||||
\(751\) | 2.36029 | + | 6.81961i | 0.0861282 | + | 0.248851i | 0.979838 | − | 0.199795i | \(-0.0640276\pi\) |
−0.893710 | + | 0.448646i | \(0.851906\pi\) | |||||||
\(752\) | 15.2765 | − | 1.45873i | 0.557075 | − | 0.0531942i | ||||
\(753\) | 0.858132 | − | 18.0144i | 0.0312721 | − | 0.656481i | ||||
\(754\) | −12.1577 | − | 4.86722i | −0.442758 | − | 0.177254i | ||||
\(755\) | −2.11986 | + | 1.36235i | −0.0771495 | + | 0.0495810i | ||||
\(756\) | 2.56650 | − | 4.05567i | 0.0933427 | − | 0.147503i | ||||
\(757\) | −16.6218 | + | 4.88059i | −0.604128 | + | 0.177388i | −0.569471 | − | 0.822011i | \(-0.692852\pi\) |
−0.0346570 | + | 0.999399i | \(0.511034\pi\) | |||||||
\(758\) | 32.3805 | − | 56.0846i | 1.17611 | − | 2.03709i | ||||
\(759\) | 5.47904 | − | 0.413254i | 0.198877 | − | 0.0150002i | ||||
\(760\) | 0.119467 | + | 0.206922i | 0.00433351 | + | 0.00750586i | ||||
\(761\) | 8.84096 | − | 36.4429i | 0.320485 | − | 1.32106i | −0.552584 | − | 0.833457i | \(-0.686358\pi\) |
0.873068 | − | 0.487598i | \(-0.162127\pi\) | |||||||
\(762\) | 12.0516 | + | 13.9083i | 0.436582 | + | 0.503843i | ||||
\(763\) | 2.69885 | + | 2.30570i | 0.0977050 | + | 0.0834720i | ||||
\(764\) | −3.50579 | − | 24.3833i | −0.126835 | − | 0.882157i | ||||
\(765\) | 0.378913 | − | 0.195343i | 0.0136996 | − | 0.00706265i | ||||
\(766\) | −70.8147 | + | 6.76199i | −2.55864 | + | 0.244321i | ||||
\(767\) | −10.7590 | − | 2.07363i | −0.388485 | − | 0.0748743i | ||||
\(768\) | −14.5802 | − | 11.4660i | −0.526118 | − | 0.413744i | ||||
\(769\) | 21.2698 | + | 46.5743i | 0.767007 | + | 1.67951i | 0.733133 | + | 0.680085i | \(0.238057\pi\) |
0.0338739 | + | 0.999426i | \(0.489216\pi\) | |||||||
\(770\) | 0.705677 | − | 0.414034i | 0.0254308 | − | 0.0149207i | ||||
\(771\) | 19.9632 | + | 5.86173i | 0.718958 | + | 0.211105i | ||||
\(772\) | −38.2327 | − | 3.65078i | −1.37603 | − | 0.131395i | ||||
\(773\) | −31.9706 | + | 12.7991i | −1.14990 | + | 0.460351i | −0.866759 | − | 0.498726i | \(-0.833801\pi\) |
−0.283143 | + | 0.959078i | \(0.591377\pi\) | |||||||
\(774\) | 12.4030 | + | 2.39048i | 0.445815 | + | 0.0859239i | ||||
\(775\) | 5.47651 | + | 7.69068i | 0.196722 | + | 0.276257i | ||||
\(776\) | −5.23613 | − | 3.36506i | −0.187966 | − | 0.120799i | ||||
\(777\) | −1.30248 | + | 14.7287i | −0.0467262 | + | 0.528388i | ||||
\(778\) | 4.72789 | − | 3.03843i | 0.169503 | − | 0.108933i | ||||
\(779\) | 18.8327 | − | 3.62970i | 0.674751 | − | 0.130048i | ||||
\(780\) | 0.230022 | + | 0.219325i | 0.00823610 | + | 0.00785310i | ||||
\(781\) | −1.54490 | − | 2.67584i | −0.0552808 | − | 0.0957492i | ||||
\(782\) | 28.6987 | + | 3.31839i | 1.02626 | + | 0.118665i | ||||
\(783\) | 5.28966 | 0.189037 | ||||||||
\(784\) | −19.5594 | + | 23.2215i | −0.698548 | + | 0.829340i | ||||
\(785\) | 0.919764 | + | 1.06146i | 0.0328278 | + | 0.0378853i | ||||
\(786\) | 0.394056 | + | 8.27225i | 0.0140555 | + | 0.295061i | ||||
\(787\) | −15.3003 | + | 12.0323i | −0.545395 | + | 0.428903i | −0.852466 | − | 0.522783i | \(-0.824894\pi\) |
0.307070 | + | 0.951687i | \(0.400651\pi\) | |||||||
\(788\) | −1.23045 | + | 25.8304i | −0.0438331 | + | 0.920171i | ||||
\(789\) | 5.64492 | + | 7.92718i | 0.200965 | + | 0.282215i | ||||
\(790\) | 1.88394 | − | 2.17419i | 0.0670277 | − | 0.0773541i | ||||
\(791\) | 13.4004 | − | 34.1634i | 0.476462 | − | 1.21471i | ||||
\(792\) | 0.172842 | + | 0.378471i | 0.00614167 | + | 0.0134484i | ||||
\(793\) | −6.21404 | + | 5.92507i | −0.220667 | + | 0.210405i | ||||
\(794\) | 5.65283 | + | 23.3013i | 0.200611 | + | 0.826931i | ||||
\(795\) | −0.827768 | + | 1.16244i | −0.0293579 | + | 0.0412274i | ||||
\(796\) | −28.2633 | − | 22.2265i | −1.00177 | − | 0.787798i | ||||
\(797\) | −0.598152 | + | 0.690304i | −0.0211876 | + | 0.0244518i | −0.766244 | − | 0.642549i | \(-0.777877\pi\) |
0.745057 | + | 0.667001i | \(0.232422\pi\) | |||||||
\(798\) | −9.30162 | − | 22.7712i | −0.329274 | − | 0.806092i | ||||
\(799\) | −9.18095 | − | 5.90024i | −0.324799 | − | 0.208735i | ||||
\(800\) | −35.8105 | − | 14.3364i | −1.26609 | − | 0.506867i | ||||
\(801\) | −2.94519 | − | 1.51835i | −0.104063 | − | 0.0536483i | ||||
\(802\) | 11.9291 | − | 34.4669i | 0.421232 | − | 1.21707i | ||||
\(803\) | −3.11138 | + | 12.8253i | −0.109798 | + | 0.452594i | ||||
\(804\) | −7.49474 | −0.264319 | ||||||||
\(805\) | 1.34005 | − | 1.13118i | 0.0472304 | − | 0.0398687i | ||||
\(806\) | 4.69278 | 0.165296 | ||||||||
\(807\) | −1.57766 | + | 6.50319i | −0.0555362 | + | 0.228923i | ||||
\(808\) | 0.857882 | − | 2.47869i | 0.0301802 | − | 0.0871999i | ||||
\(809\) | −15.5694 | − | 8.02658i | −0.547391 | − | 0.282200i | 0.162266 | − | 0.986747i | \(-0.448120\pi\) |
−0.709657 | + | 0.704547i | \(0.751150\pi\) | |||||||
\(810\) | −0.250578 | − | 0.100316i | −0.00880441 | − | 0.00352475i | ||||
\(811\) | −2.70585 | − | 1.73894i | −0.0950153 | − | 0.0610626i | 0.492270 | − | 0.870442i | \(-0.336167\pi\) |
−0.587286 | + | 0.809380i | \(0.699803\pi\) | |||||||
\(812\) | 25.1541 | + | 3.43713i | 0.882735 | + | 0.120620i | ||||
\(813\) | 13.7160 | − | 15.8291i | 0.481042 | − | 0.555152i | ||||
\(814\) | 9.82931 | + | 7.72985i | 0.344517 | + | 0.270931i | ||||
\(815\) | −0.524749 | + | 0.736908i | −0.0183812 | + | 0.0258127i | ||||
\(816\) | 3.15413 | + | 13.0015i | 0.110416 | + | 0.455143i | ||||
\(817\) | 22.2835 | − | 21.2473i | 0.779602 | − | 0.743349i | ||||
\(818\) | 27.2692 | + | 59.7112i | 0.953445 | + | 2.08775i | ||||
\(819\) | 2.09169 | + | 2.62183i | 0.0730896 | + | 0.0916143i | ||||
\(820\) | 0.661465 | − | 0.763371i | 0.0230993 | − | 0.0266581i | ||||
\(821\) | 11.8487 | + | 16.6392i | 0.413524 | + | 0.580713i | 0.967832 | − | 0.251599i | \(-0.0809563\pi\) |
−0.554308 | + | 0.832312i | \(0.687017\pi\) | |||||||
\(822\) | −1.06969 | + | 22.4556i | −0.0373097 | + | 0.783227i | ||||
\(823\) | 29.0393 | − | 22.8368i | 1.01225 | − | 0.796039i | 0.0331530 | − | 0.999450i | \(-0.489445\pi\) |
0.979093 | + | 0.203411i | \(0.0652027\pi\) | |||||||
\(824\) | −0.118476 | − | 2.48712i | −0.00412731 | − | 0.0866428i | ||||
\(825\) | 3.73705 | + | 4.31279i | 0.130107 | + | 0.150152i | ||||
\(826\) | 44.5938 | − | 2.43713i | 1.55162 | − | 0.0847985i | ||||
\(827\) | 8.17293 | 0.284201 | 0.142100 | − | 0.989852i | \(-0.454614\pi\) | ||||
0.142100 | + | 0.989852i | \(0.454614\pi\) | |||||||
\(828\) | −4.90427 | − | 7.18580i | −0.170435 | − | 0.249724i | ||||
\(829\) | 9.05927 | + | 15.6911i | 0.314641 | + | 0.544975i | 0.979361 | − | 0.202118i | \(-0.0647824\pi\) |
−0.664720 | + | 0.747093i | \(0.731449\pi\) | |||||||
\(830\) | −2.22273 | − | 2.11937i | −0.0771522 | − | 0.0735645i | ||||
\(831\) | 22.0997 | − | 4.25937i | 0.766630 | − | 0.147756i | ||||
\(832\) | −6.87820 | + | 4.42035i | −0.238459 | + | 0.153248i | ||||
\(833\) | 21.1422 | − | 4.38256i | 0.732535 | − | 0.151847i | ||||
\(834\) | −10.1973 | − | 6.55339i | −0.353103 | − | 0.226925i | ||||
\(835\) | 1.27299 | + | 1.78766i | 0.0440536 | + | 0.0618646i | ||||
\(836\) | −9.71525 | − | 1.87246i | −0.336009 | − | 0.0647604i | ||||
\(837\) | −1.75973 | + | 0.704488i | −0.0608251 | + | 0.0243507i | ||||
\(838\) | 28.4584 | + | 2.71745i | 0.983079 | + | 0.0938727i | ||||
\(839\) | 34.9135 | + | 10.2515i | 1.20535 | + | 0.353922i | 0.821895 | − | 0.569639i | \(-0.192917\pi\) |
0.383452 | + | 0.923561i | \(0.374735\pi\) | |||||||
\(840\) | 0.115463 | + | 0.0655899i | 0.00398386 | + | 0.00226306i | ||||
\(841\) | −0.423523 | − | 0.927385i | −0.0146042 | − | 0.0319788i | ||||
\(842\) | −48.9555 | − | 38.4990i | −1.68712 | − | 1.32676i | ||||
\(843\) | −6.61013 | − | 1.27400i | −0.227665 | − | 0.0438788i | ||||
\(844\) | −30.1927 | + | 2.88306i | −1.03928 | + | 0.0992389i | ||||
\(845\) | 1.39955 | − | 0.721518i | 0.0481460 | − | 0.0248210i | ||||
\(846\) | 0.983366 | + | 6.83946i | 0.0338088 | + | 0.235145i | ||||
\(847\) | −4.67435 | + | 25.2005i | −0.160613 | + | 0.865900i | ||||
\(848\) | −29.3278 | − | 33.8461i | −1.00712 | − | 1.16228i | ||||
\(849\) | −0.591982 | + | 2.44018i | −0.0203168 | + | 0.0837468i | ||||
\(850\) | 15.0024 | + | 25.9848i | 0.514577 | + | 0.891273i | ||||
\(851\) | 23.5734 | + | 12.7535i | 0.808084 | + | 0.437184i | ||||
\(852\) | −2.44611 | + | 4.23679i | −0.0838024 | + | 0.145150i | ||||
\(853\) | −8.93826 | + | 2.62451i | −0.306040 | + | 0.0898615i | −0.431147 | − | 0.902282i | \(-0.641891\pi\) |
0.125107 | + | 0.992143i | \(0.460073\pi\) | |||||||
\(854\) | 18.7141 | − | 29.5727i | 0.640383 | − | 1.01196i | ||||
\(855\) | −0.553489 | + | 0.355706i | −0.0189289 | + | 0.0121649i | ||||
\(856\) | −3.82642 | − | 1.53187i | −0.130784 | − | 0.0523581i | ||||
\(857\) | −1.05422 | + | 22.1308i | −0.0360114 | + | 0.755973i | 0.906582 | + | 0.422030i | \(0.138682\pi\) |
−0.942593 | + | 0.333943i | \(0.891621\pi\) | |||||||
\(858\) | 2.82362 | − | 0.269623i | 0.0963967 | − | 0.00920477i | ||||
\(859\) | −8.59695 | − | 24.8393i | −0.293324 | − | 0.847505i | −0.991328 | − | 0.131411i | \(-0.958049\pi\) |
0.698004 | − | 0.716094i | \(-0.254072\pi\) | |||||||
\(860\) | 0.230771 | − | 1.60505i | 0.00786922 | − | 0.0547316i | ||||
\(861\) | 8.00671 | − | 7.03655i | 0.272868 | − | 0.239805i | ||||
\(862\) | −53.0772 | − | 15.5849i | −1.80782 | − | 0.530823i | ||||
\(863\) | −18.2757 | + | 17.4259i | −0.622113 | + | 0.593183i | −0.934147 | − | 0.356887i | \(-0.883838\pi\) |
0.312035 | + | 0.950071i | \(0.398990\pi\) | |||||||
\(864\) | 4.49214 | − | 6.30832i | 0.152826 | − | 0.214614i | ||||
\(865\) | −1.94087 | + | 0.777009i | −0.0659917 | + | 0.0264191i | ||||
\(866\) | 26.2047 | + | 75.7135i | 0.890472 | + | 2.57285i | ||||
\(867\) | −3.10967 | + | 6.80922i | −0.105610 | + | 0.231253i | ||||
\(868\) | −8.82585 | + | 2.20663i | −0.299569 | + | 0.0748980i | ||||
\(869\) | −1.73788 | − | 12.0872i | −0.0589534 | − | 0.410030i | ||||
\(870\) | −0.0679348 | − | 1.42613i | −0.00230321 | − | 0.0483502i | ||||
\(871\) | 1.71300 | − | 4.94939i | 0.0580428 | − | 0.167704i | ||||
\(872\) | 0.352623 | + | 0.336226i | 0.0119413 | + | 0.0113860i | ||||
\(873\) | 8.56957 | − | 14.8429i | 0.290036 | − | 0.502357i | ||||
\(874\) | −44.5783 | − | 0.888020i | −1.50788 | − | 0.0300377i | ||||
\(875\) | 3.55268 | + | 0.835593i | 0.120103 | + | 0.0282482i | ||||
\(876\) | 20.0495 | − | 5.88705i | 0.677409 | − | 0.198905i | ||||
\(877\) | 51.0344 | − | 9.83608i | 1.72331 | − | 0.332141i | 0.770899 | − | 0.636958i | \(-0.219807\pi\) |
0.952411 | + | 0.304817i | \(0.0985952\pi\) | |||||||
\(878\) | 22.8137 | + | 11.7613i | 0.769926 | + | 0.396924i | ||||
\(879\) | 23.8172 | − | 18.7300i | 0.803334 | − | 0.631749i | ||||
\(880\) | 0.610444 | − | 0.314706i | 0.0205781 | − | 0.0106087i | ||||
\(881\) | 18.1629 | − | 39.7711i | 0.611922 | − | 1.33992i | −0.309329 | − | 0.950955i | \(-0.600104\pi\) |
0.921251 | − | 0.388968i | \(-0.127168\pi\) | |||||||
\(882\) | −10.8631 | − | 8.29946i | −0.365780 | − | 0.279457i | ||||
\(883\) | 3.73556 | − | 25.9814i | 0.125712 | − | 0.874344i | −0.825191 | − | 0.564854i | \(-0.808933\pi\) |
0.950903 | − | 0.309490i | \(-0.100158\pi\) | |||||||
\(884\) | 7.06119 | + | 0.674262i | 0.237494 | + | 0.0226779i | ||||
\(885\) | −0.281629 | − | 1.16089i | −0.00946687 | − | 0.0390230i | ||||
\(886\) | −4.59260 | − | 18.9310i | −0.154291 | − | 0.635998i | ||||
\(887\) | 32.8917 | + | 3.14078i | 1.10440 | + | 0.105457i | 0.631289 | − | 0.775548i | \(-0.282526\pi\) |
0.473107 | + | 0.881005i | \(0.343132\pi\) | |||||||
\(888\) | −0.288835 | + | 2.00889i | −0.00969268 | + | 0.0674140i | ||||
\(889\) | 20.2070 | − | 14.6035i | 0.677721 | − | 0.489786i | ||||
\(890\) | −0.371532 | + | 0.813543i | −0.0124538 | + | 0.0272700i | ||||
\(891\) | −1.01834 | + | 0.524992i | −0.0341158 | + | 0.0175879i | ||||
\(892\) | −23.6453 | + | 18.5949i | −0.791704 | + | 0.622603i | ||||
\(893\) | 14.9708 | + | 7.71800i | 0.500980 | + | 0.258273i | ||||
\(894\) | −15.2839 | + | 2.94574i | −0.511171 | + | 0.0985202i | ||||
\(895\) | 2.24251 | − | 0.658462i | 0.0749590 | − | 0.0220099i | ||||
\(896\) | −5.24254 | + | 5.57582i | −0.175141 | + | 0.186275i | ||||
\(897\) | 5.86630 | − | 1.59630i | 0.195870 | − | 0.0532990i | ||||
\(898\) | 17.2690 | − | 29.9107i | 0.576273 | − | 0.998134i | ||||
\(899\) | −7.25658 | − | 6.91913i | −0.242020 | − | 0.230766i | ||||
\(900\) | 2.95525 | − | 8.53864i | 0.0985084 | − | 0.284621i | ||||
\(901\) | 1.51544 | + | 31.8130i | 0.0504866 | + | 1.05985i | ||||
\(902\) | −1.28291 | − | 8.92281i | −0.0427161 | − | 0.297097i | ||||
\(903\) | 4.70601 | − | 16.4522i | 0.156606 | − | 0.547495i | ||||
\(904\) | 2.09250 | − | 4.58193i | 0.0695954 | − | 0.152393i | ||||
\(905\) | 0.232282 | + | 0.671134i | 0.00772130 | + | 0.0223092i | ||||
\(906\) | 33.0570 | − | 13.2340i | 1.09824 | − | 0.439671i | ||||
\(907\) | 22.0522 | − | 30.9680i | 0.732232 | − | 1.02828i | −0.265704 | − | 0.964055i | \(-0.585604\pi\) |
0.997936 | − | 0.0642207i | \(-0.0204562\pi\) | |||||||
\(908\) | 13.1160 | − | 12.5061i | 0.435269 | − | 0.415028i | ||||
\(909\) | 6.93006 | + | 2.03485i | 0.229855 | + | 0.0674917i | ||||
\(910\) | 0.680000 | − | 0.597606i | 0.0225418 | − | 0.0198104i | ||||
\(911\) | −2.00018 | + | 13.9116i | −0.0662691 | + | 0.460911i | 0.929485 | + | 0.368860i | \(0.120252\pi\) |
−0.995754 | + | 0.0920519i | \(0.970657\pi\) | |||||||
\(912\) | −6.75325 | − | 19.5122i | −0.223622 | − | 0.646115i | ||||
\(913\) | −12.9774 | + | 1.23919i | −0.429489 | + | 0.0410112i | ||||
\(914\) | −1.14251 | + | 23.9843i | −0.0377909 | + | 0.793329i | ||||
\(915\) | −0.869027 | − | 0.347906i | −0.0287291 | − | 0.0115014i | ||||
\(916\) | 18.6392 | − | 11.9787i | 0.615856 | − | 0.395787i | ||||
\(917\) | 11.2102 | + | 0.455412i | 0.370194 | + | 0.0150390i | ||||
\(918\) | −5.77994 | + | 1.69714i | −0.190767 | + | 0.0560141i | ||||
\(919\) | −2.53830 | + | 4.39647i | −0.0837310 | + | 0.145026i | −0.904850 | − | 0.425731i | \(-0.860017\pi\) |
0.821119 | + | 0.570757i | \(0.193350\pi\) | |||||||
\(920\) | 0.192134 | − | 0.144997i | 0.00633448 | − | 0.00478041i | ||||
\(921\) | 6.46315 | + | 11.1945i | 0.212968 | + | 0.368871i | ||||
\(922\) | −12.9810 | + | 53.5083i | −0.427505 | + | 1.76220i | ||||
\(923\) | −2.23881 | − | 2.58373i | −0.0736915 | − | 0.0850445i | ||||
\(924\) | −5.18369 | + | 1.83481i | −0.170531 | + | 0.0603608i | ||||
\(925\) | 3.96153 | + | 27.5531i | 0.130254 | + | 0.905940i | ||||
\(926\) | −22.6547 | + | 11.6793i | −0.744480 | + | 0.383806i | ||||
\(927\) | 6.82532 | − | 0.651739i | 0.224173 | − | 0.0214059i | ||||
\(928\) | 40.2244 | + | 7.75263i | 1.32043 | + | 0.254492i | ||||
\(929\) | 7.12570 | + | 5.60371i | 0.233786 | + | 0.183852i | 0.728179 | − | 0.685387i | \(-0.240367\pi\) |
−0.494392 | + | 0.869239i | \(0.664609\pi\) | |||||||
\(930\) | 0.212535 | + | 0.465386i | 0.00696929 | + | 0.0152606i | ||||
\(931\) | −31.8392 | + | 9.83485i | −1.04349 | + | 0.322324i | ||||
\(932\) | −17.0189 | − | 4.99721i | −0.557474 | − | 0.163689i | ||||
\(933\) | −25.5278 | − | 2.43761i | −0.835744 | − | 0.0798038i | ||||
\(934\) | 27.8558 | − | 11.1518i | 0.911471 | − | 0.364898i | ||||
\(935\) | −0.479591 | − | 0.0924335i | −0.0156843 | − | 0.00302290i | ||||
\(936\) | 0.267040 | + | 0.375005i | 0.00872848 | + | 0.0122574i | ||||
\(937\) | 31.5139 | + | 20.2528i | 1.02952 | + | 0.661630i | 0.942372 | − | 0.334566i | \(-0.108590\pi\) |
0.0871434 | + | 0.996196i | \(0.472226\pi\) | |||||||
\(938\) | −1.88047 | + | 21.2646i | −0.0613995 | + | 0.694315i | ||||
\(939\) | −1.84516 | + | 1.18581i | −0.0602145 | + | 0.0386975i | ||||
\(940\) | 0.871024 | − | 0.167876i | 0.0284097 | − | 0.00547551i | ||||
\(941\) | −0.875609 | − | 0.834892i | −0.0285441 | − | 0.0272167i | 0.675673 | − | 0.737202i | \(-0.263853\pi\) |
−0.704217 | + | 0.709985i | \(0.748702\pi\) | |||||||
\(942\) | −9.92341 | − | 17.1878i | −0.323322 | − | 0.560010i | ||||
\(943\) | −5.95457 | − | 18.3812i | −0.193908 | − | 0.598573i | ||||
\(944\) | 37.4889 | 1.22016 | ||||||||
\(945\) | −0.165277 | + | 0.326177i | −0.00537647 | + | 0.0106105i | ||||
\(946\) | −9.47691 | − | 10.9369i | −0.308121 | − | 0.355591i | ||||
\(947\) | 2.44003 | + | 51.2225i | 0.0792903 | + | 1.66451i | 0.591994 | + | 0.805942i | \(0.298341\pi\) |
−0.512704 | + | 0.858566i | \(0.671356\pi\) | |||||||
\(948\) | −15.1984 | + | 11.9521i | −0.493620 | + | 0.388187i | ||||
\(949\) | −0.694809 | + | 14.5858i | −0.0225545 | + | 0.473477i | ||||
\(950\) | −26.8611 | − | 37.7212i | −0.871490 | − | 1.22384i | ||||
\(951\) | −16.4892 | + | 19.0295i | −0.534698 | + | 0.617075i | ||||
\(952\) | 2.93050 | − | 0.442293i | 0.0949780 | − | 0.0143348i | ||||
\(953\) | 19.1946 | + | 42.0303i | 0.621774 | + | 1.36150i | 0.914222 | + | 0.405214i | \(0.132803\pi\) |
−0.292448 | + | 0.956281i | \(0.594470\pi\) | |||||||
\(954\) | 14.5942 | − | 13.9155i | 0.472505 | − | 0.450532i | ||||
\(955\) | 0.442471 | + | 1.82389i | 0.0143180 | + | 0.0590197i | ||||
\(956\) | −10.3268 | + | 14.5020i | −0.333992 | + | 0.469027i | ||||
\(957\) | −4.76378 | − | 3.74628i | −0.153991 | − | 0.121100i | ||||
\(958\) | 35.4309 | − | 40.8895i | 1.14472 | − | 1.32108i | ||||
\(959\) | 30.1755 | + | 4.12328i | 0.974419 | + | 0.133148i | ||||
\(960\) | −0.749882 | − | 0.481920i | −0.0242023 | − | 0.0155539i | ||||
\(961\) | −25.4438 | − | 10.1862i | −0.820769 | − | 0.328586i | ||||
\(962\) | 12.2979 | + | 6.34002i | 0.396501 | + | 0.204410i | ||||
\(963\) | 3.71207 | − | 10.7253i | 0.119620 | − | 0.345619i | ||||
\(964\) | 1.48939 | − | 6.13934i | 0.0479700 | − | 0.197735i | ||||
\(965\) | 2.92609 | 0.0941941 | ||||||||
\(966\) | −21.6186 | + | 12.1118i | −0.695568 | + | 0.389692i | ||||
\(967\) | 50.9283 | 1.63774 | 0.818872 | − | 0.573976i | \(-0.194600\pi\) | ||||
0.818872 | + | 0.573976i | \(0.194600\pi\) | |||||||
\(968\) | −0.829408 | + | 3.41887i | −0.0266582 | + | 0.109887i | ||||
\(969\) | −4.80263 | + | 13.8763i | −0.154283 | + | 0.445771i | ||||
\(970\) | −4.11181 | − | 2.11979i | −0.132022 | − | 0.0680622i | ||||
\(971\) | 38.8107 | + | 15.5375i | 1.24550 | + | 0.498621i | 0.898387 | − | 0.439204i | \(-0.144739\pi\) |
0.347108 | + | 0.937825i | \(0.387164\pi\) | |||||||
\(972\) | 1.52607 | + | 0.980748i | 0.0489488 | + | 0.0314575i | ||||
\(973\) | −10.0605 | + | 12.9789i | −0.322526 | + | 0.416084i | ||||
\(974\) | −3.93559 | + | 4.54192i | −0.126105 | + | 0.145532i | ||||
\(975\) | 4.96331 | + | 3.90319i | 0.158953 | + | 0.125002i | ||||
\(976\) | 17.0402 | − | 23.9297i | 0.545445 | − | 0.765970i | ||||
\(977\) | 9.97300 | + | 41.1093i | 0.319065 | + | 1.31520i | 0.875059 | + | 0.484016i | \(0.160822\pi\) |
−0.555995 | + | 0.831186i | \(0.687663\pi\) | |||||||
\(978\) | 9.25175 | − | 8.82152i | 0.295838 | − | 0.282081i | ||||
\(979\) | 1.57705 | + | 3.45327i | 0.0504029 | + | 0.110367i | ||||
\(980\) | −0.997892 | + | 1.44368i | −0.0318765 | + | 0.0461168i | ||||
\(981\) | −0.878590 | + | 1.01395i | −0.0280512 | + | 0.0323728i | ||||
\(982\) | 17.7819 | + | 24.9712i | 0.567445 | + | 0.796864i | ||||
\(983\) | 0.443443 | − | 9.30902i | 0.0141436 | − | 0.296912i | −0.980702 | − | 0.195509i | \(-0.937364\pi\) |
0.994845 | − | 0.101402i | \(-0.0323330\pi\) | |||||||
\(984\) | 1.15007 | − | 0.904428i | 0.0366630 | − | 0.0288321i | ||||
\(985\) | −0.0937447 | − | 1.96794i | −0.00298695 | − | 0.0627039i | ||||
\(986\) | −20.8669 | − | 24.0817i | −0.664538 | − | 0.766918i | ||||
\(987\) | 9.34702 | − | 0.510830i | 0.297519 | − | 0.0162599i | ||||
\(988\) | −10.9474 | −0.348285 | ||||||||
\(989\) | −23.9952 | − | 19.6560i | −0.763004 | − | 0.625023i | ||||
\(990\) | 0.154620 | + | 0.267809i | 0.00491414 | + | 0.00851154i | ||||
\(991\) | −38.8250 | − | 37.0195i | −1.23332 | − | 1.17596i | −0.977887 | − | 0.209136i | \(-0.932935\pi\) |
−0.255429 | − | 0.966828i | \(-0.582217\pi\) | |||||||
\(992\) | −14.4141 | + | 2.77809i | −0.457648 | + | 0.0882045i | ||||
\(993\) | −5.75674 | + | 3.69963i | −0.182685 | + | 0.117404i | ||||
\(994\) | 11.4072 | + | 8.00333i | 0.361815 | + | 0.253850i | ||||
\(995\) | 2.30451 | + | 1.48102i | 0.0730580 | + | 0.0469515i | ||||
\(996\) | 11.9731 | + | 16.8138i | 0.379381 | + | 0.532766i | ||||
\(997\) | 50.4049 | + | 9.71474i | 1.59634 | + | 0.307669i | 0.908401 | − | 0.418101i | \(-0.137304\pi\) |
0.687938 | + | 0.725770i | \(0.258516\pi\) | |||||||
\(998\) | 2.24862 | − | 0.900213i | 0.0711790 | − | 0.0284958i | ||||
\(999\) | −5.56333 | − | 0.531233i | −0.176016 | − | 0.0168075i |
(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 | 483.2.y.b.331.4 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.b.193.4 | ✓ | 320 | |
23.18 | even | 11 | inner | 483.2.y.b.478.4 | yes | 320 | |
161.18 | even | 33 | inner | 483.2.y.b.340.4 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.193.4 | ✓ | 320 | 7.4 | even | 3 | inner | |
483.2.y.b.331.4 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.340.4 | yes | 320 | 161.18 | even | 33 | inner | |
483.2.y.b.478.4 | yes | 320 | 23.18 | even | 11 | inner |