Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(79,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.v (of order \(30\), degree \(8\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 79.2 | ||
Character | \(\chi\) | \(=\) | 450.79 |
Dual form | 450.2.v.a.319.2 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.743145 | + | 0.669131i | −0.525483 | + | 0.473147i | ||||
\(3\) | −1.53471 | − | 0.802914i | −0.886064 | − | 0.463562i | ||||
\(4\) | 0.104528 | − | 0.994522i | 0.0522642 | − | 0.497261i | ||||
\(5\) | 1.99429 | + | 1.01134i | 0.891874 | + | 0.452284i | ||||
\(6\) | 1.67776 | − | 0.430239i | 0.684945 | − | 0.175644i | ||||
\(7\) | 1.01614 | + | 0.586669i | 0.384065 | + | 0.221740i | 0.679586 | − | 0.733596i | \(-0.262160\pi\) |
−0.295520 | + | 0.955336i | \(0.595493\pi\) | |||||||
\(8\) | 0.587785 | + | 0.809017i | 0.207813 | + | 0.286031i | ||||
\(9\) | 1.71066 | + | 2.46448i | 0.570220 | + | 0.821492i | ||||
\(10\) | −2.15876 | + | 0.582871i | −0.682661 | + | 0.184320i | ||||
\(11\) | −4.11667 | − | 4.57203i | −1.24122 | − | 1.37852i | −0.898435 | − | 0.439106i | \(-0.855295\pi\) |
−0.342788 | − | 0.939413i | \(-0.611371\pi\) | |||||||
\(12\) | −0.958936 | + | 1.44237i | −0.276821 | + | 0.416377i | ||||
\(13\) | 2.61200 | + | 2.35186i | 0.724439 | + | 0.652288i | 0.946485 | − | 0.322748i | \(-0.104607\pi\) |
−0.222046 | + | 0.975036i | \(0.571273\pi\) | |||||||
\(14\) | −1.14770 | + | 0.243951i | −0.306735 | + | 0.0651986i | ||||
\(15\) | −2.24864 | − | 3.15335i | −0.580596 | − | 0.814192i | ||||
\(16\) | −0.978148 | − | 0.207912i | −0.244537 | − | 0.0519779i | ||||
\(17\) | 0.704605 | + | 0.969806i | 0.170892 | + | 0.235213i | 0.885869 | − | 0.463935i | \(-0.153563\pi\) |
−0.714977 | + | 0.699148i | \(0.753563\pi\) | |||||||
\(18\) | −2.92032 | − | 0.686809i | −0.688327 | − | 0.161882i | ||||
\(19\) | 1.98402 | − | 1.44148i | 0.455166 | − | 0.330697i | −0.336466 | − | 0.941696i | \(-0.609232\pi\) |
0.791632 | + | 0.610998i | \(0.209232\pi\) | |||||||
\(20\) | 1.21426 | − | 1.87765i | 0.271516 | − | 0.419856i | ||||
\(21\) | −1.08844 | − | 1.71624i | −0.237516 | − | 0.374514i | ||||
\(22\) | 6.11857 | + | 0.643088i | 1.30448 | + | 0.137107i | ||||
\(23\) | 0.953457 | + | 4.48566i | 0.198809 | + | 0.935325i | 0.958512 | + | 0.285054i | \(0.0920115\pi\) |
−0.759702 | + | 0.650271i | \(0.774655\pi\) | |||||||
\(24\) | −0.252508 | − | 1.71355i | −0.0515430 | − | 0.349776i | ||||
\(25\) | 2.95439 | + | 4.03380i | 0.590879 | + | 0.806761i | ||||
\(26\) | −3.51480 | −0.689308 | ||||||||
\(27\) | −0.646601 | − | 5.15576i | −0.124438 | − | 0.992227i | ||||
\(28\) | 0.689671 | − | 0.949251i | 0.130336 | − | 0.179392i | ||||
\(29\) | 5.63103 | − | 2.50710i | 1.04566 | − | 0.465556i | 0.189288 | − | 0.981922i | \(-0.439382\pi\) |
0.856368 | + | 0.516365i | \(0.172715\pi\) | |||||||
\(30\) | 3.78107 | + | 0.838764i | 0.690325 | + | 0.153137i | ||||
\(31\) | 5.04485 | + | 2.24611i | 0.906082 | + | 0.403414i | 0.806239 | − | 0.591589i | \(-0.201499\pi\) |
0.0998430 | + | 0.995003i | \(0.468166\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 2.64695 | + | 10.3221i | 0.460775 | + | 1.79684i | ||||
\(34\) | −1.17255 | − | 0.249233i | −0.201091 | − | 0.0427432i | ||||
\(35\) | 1.43316 | + | 2.19765i | 0.242248 | + | 0.371471i | ||||
\(36\) | 2.62979 | − | 1.44368i | 0.438298 | − | 0.240613i | ||||
\(37\) | 9.29901 | − | 3.02143i | 1.52875 | − | 0.496720i | 0.580502 | − | 0.814259i | \(-0.302856\pi\) |
0.948245 | + | 0.317538i | \(0.102856\pi\) | |||||||
\(38\) | −0.509879 | + | 2.39879i | −0.0827134 | + | 0.389136i | ||||
\(39\) | −2.12032 | − | 5.70663i | −0.339523 | − | 0.913792i | ||||
\(40\) | 0.354025 | + | 2.20786i | 0.0559763 | + | 0.349094i | ||||
\(41\) | −2.09892 | + | 2.33109i | −0.327796 | + | 0.364054i | −0.884405 | − | 0.466720i | \(-0.845436\pi\) |
0.556609 | + | 0.830775i | \(0.312102\pi\) | |||||||
\(42\) | 1.95725 | + | 0.547109i | 0.302011 | + | 0.0844208i | ||||
\(43\) | 8.90899 | + | 5.14361i | 1.35861 | + | 0.784393i | 0.989436 | − | 0.144968i | \(-0.0463079\pi\) |
0.369172 | + | 0.929361i | \(0.379641\pi\) | |||||||
\(44\) | −4.97729 | + | 3.61621i | −0.750355 | + | 0.545165i | ||||
\(45\) | 0.919134 | + | 6.64494i | 0.137016 | + | 0.990569i | ||||
\(46\) | −3.71005 | − | 2.69551i | −0.547017 | − | 0.397431i | ||||
\(47\) | 1.54947 | + | 3.48017i | 0.226014 | + | 0.507635i | 0.990584 | − | 0.136905i | \(-0.0437156\pi\) |
−0.764571 | + | 0.644540i | \(0.777049\pi\) | |||||||
\(48\) | 1.33424 | + | 1.10445i | 0.192580 | + | 0.159414i | ||||
\(49\) | −2.81164 | − | 4.86990i | −0.401663 | − | 0.695700i | ||||
\(50\) | −4.89468 | − | 1.02083i | −0.692213 | − | 0.144366i | ||||
\(51\) | −0.302693 | − | 2.05411i | −0.0423855 | − | 0.287632i | ||||
\(52\) | 2.61200 | − | 2.35186i | 0.362220 | − | 0.326144i | ||||
\(53\) | −2.85979 | + | 3.93617i | −0.392823 | + | 0.540674i | −0.958925 | − | 0.283661i | \(-0.908451\pi\) |
0.566102 | + | 0.824335i | \(0.308451\pi\) | |||||||
\(54\) | 3.93040 | + | 3.39882i | 0.534859 | + | 0.462521i | ||||
\(55\) | −3.58598 | − | 13.2813i | −0.483533 | − | 1.79085i | ||||
\(56\) | 0.122647 | + | 1.16691i | 0.0163894 | + | 0.155935i | ||||
\(57\) | −4.20227 | + | 0.619247i | −0.556605 | + | 0.0820212i | ||||
\(58\) | −2.50710 | + | 5.63103i | −0.329198 | + | 0.739391i | ||||
\(59\) | −0.620327 | + | 0.688943i | −0.0807598 | + | 0.0896928i | −0.782170 | − | 0.623065i | \(-0.785887\pi\) |
0.701411 | + | 0.712757i | \(0.252554\pi\) | |||||||
\(60\) | −3.37112 | + | 1.90670i | −0.435210 | + | 0.246155i | ||||
\(61\) | −0.950273 | − | 1.05539i | −0.121670 | − | 0.135128i | 0.679232 | − | 0.733924i | \(-0.262313\pi\) |
−0.800902 | + | 0.598795i | \(0.795646\pi\) | |||||||
\(62\) | −5.25200 | + | 1.70648i | −0.667005 | + | 0.216723i | ||||
\(63\) | 0.292438 | + | 3.50785i | 0.0368438 | + | 0.441947i | ||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | 2.83057 | + | 7.33190i | 0.351089 | + | 0.909411i | ||||
\(66\) | −8.87387 | − | 5.89963i | −1.09230 | − | 0.726195i | ||||
\(67\) | 0.932208 | − | 2.09377i | 0.113887 | − | 0.255795i | −0.847605 | − | 0.530628i | \(-0.821956\pi\) |
0.961492 | + | 0.274833i | \(0.0886226\pi\) | |||||||
\(68\) | 1.03814 | − | 0.599373i | 0.125894 | − | 0.0726847i | ||||
\(69\) | 2.13832 | − | 7.64973i | 0.257424 | − | 0.920919i | ||||
\(70\) | −2.53556 | − | 0.674202i | −0.303058 | − | 0.0805825i | ||||
\(71\) | −2.15766 | − | 1.56763i | −0.256067 | − | 0.186043i | 0.452344 | − | 0.891843i | \(-0.350588\pi\) |
−0.708411 | + | 0.705800i | \(0.750588\pi\) | |||||||
\(72\) | −0.988303 | + | 2.83254i | −0.116473 | + | 0.333817i | ||||
\(73\) | −16.1936 | − | 5.26160i | −1.89531 | − | 0.615824i | −0.973764 | − | 0.227559i | \(-0.926926\pi\) |
−0.921548 | − | 0.388265i | \(-0.873074\pi\) | |||||||
\(74\) | −4.88878 | + | 8.46761i | −0.568309 | + | 0.984340i | ||||
\(75\) | −1.29534 | − | 8.56283i | −0.149572 | − | 0.988751i | ||||
\(76\) | −1.22619 | − | 2.12383i | −0.140654 | − | 0.243620i | ||||
\(77\) | −1.50085 | − | 7.06095i | −0.171038 | − | 0.804670i | ||||
\(78\) | 5.39419 | + | 2.82208i | 0.610771 | + | 0.319537i | ||||
\(79\) | 8.65782 | − | 3.85471i | 0.974081 | − | 0.433689i | 0.142928 | − | 0.989733i | \(-0.454348\pi\) |
0.831153 | + | 0.556044i | \(0.187681\pi\) | |||||||
\(80\) | −1.74044 | − | 1.40387i | −0.194587 | − | 0.156958i | ||||
\(81\) | −3.14729 | + | 8.43176i | −0.349699 | + | 0.936862i | ||||
\(82\) | − | 3.13679i | − | 0.346400i | ||||||
\(83\) | −6.47567 | + | 0.680620i | −0.710797 | + | 0.0747078i | −0.453025 | − | 0.891498i | \(-0.649655\pi\) |
−0.257772 | + | 0.966206i | \(0.582988\pi\) | |||||||
\(84\) | −1.82061 | + | 0.903077i | −0.198645 | + | 0.0985338i | ||||
\(85\) | 0.424387 | + | 2.64667i | 0.0460312 | + | 0.287072i | ||||
\(86\) | −10.0624 | + | 2.13883i | −1.08506 | + | 0.230636i | ||||
\(87\) | −10.6550 | − | 0.673570i | −1.14233 | − | 0.0722143i | ||||
\(88\) | 1.27913 | − | 6.01783i | 0.136356 | − | 0.641503i | ||||
\(89\) | 0.798330 | − | 2.45701i | 0.0846228 | − | 0.260442i | −0.899788 | − | 0.436328i | \(-0.856279\pi\) |
0.984411 | + | 0.175885i | \(0.0562788\pi\) | |||||||
\(90\) | −5.12938 | − | 4.32313i | −0.540684 | − | 0.455698i | ||||
\(91\) | 1.27440 | + | 3.92220i | 0.133593 | + | 0.411158i | ||||
\(92\) | 4.56075 | − | 0.479354i | 0.475491 | − | 0.0499761i | ||||
\(93\) | −5.93894 | − | 7.49771i | −0.615840 | − | 0.777476i | ||||
\(94\) | −3.48017 | − | 1.54947i | −0.358952 | − | 0.159816i | ||||
\(95\) | 5.41453 | − | 0.868207i | 0.555519 | − | 0.0890761i | ||||
\(96\) | −1.73055 | + | 0.0720105i | −0.176624 | + | 0.00734954i | ||||
\(97\) | 4.58997 | + | 10.3092i | 0.466041 | + | 1.04675i | 0.981784 | + | 0.190002i | \(0.0608494\pi\) |
−0.515743 | + | 0.856744i | \(0.672484\pi\) | |||||||
\(98\) | 5.34805 | + | 1.73769i | 0.540235 | + | 0.175533i | ||||
\(99\) | 4.22543 | − | 17.9666i | 0.424672 | − | 1.80571i | ||||
\(100\) | 4.32052 | − | 2.51656i | 0.432052 | − | 0.251656i | ||||
\(101\) | 7.51765 | − | 13.0209i | 0.748034 | − | 1.29563i | −0.200730 | − | 0.979647i | \(-0.564331\pi\) |
0.948764 | − | 0.315986i | \(-0.102335\pi\) | |||||||
\(102\) | 1.59941 | + | 1.32396i | 0.158365 | + | 0.131091i | ||||
\(103\) | 4.42105 | + | 0.464672i | 0.435619 | + | 0.0457854i | 0.319800 | − | 0.947485i | \(-0.396384\pi\) |
0.115819 | + | 0.993270i | \(0.463051\pi\) | |||||||
\(104\) | −0.367396 | + | 3.49554i | −0.0360262 | + | 0.342766i | ||||
\(105\) | −0.434959 | − | 4.52346i | −0.0424476 | − | 0.441444i | ||||
\(106\) | −0.508570 | − | 4.83872i | −0.0493967 | − | 0.469978i | ||||
\(107\) | 5.91051i | 0.571391i | 0.958320 | + | 0.285695i | \(0.0922246\pi\) | ||||
−0.958320 | + | 0.285695i | \(0.907775\pi\) | |||||||
\(108\) | −5.19511 | + | 0.104135i | −0.499900 | + | 0.0100204i | ||||
\(109\) | 1.51660 | + | 4.66763i | 0.145264 | + | 0.447077i | 0.997045 | − | 0.0768212i | \(-0.0244771\pi\) |
−0.851781 | + | 0.523899i | \(0.824477\pi\) | |||||||
\(110\) | 11.5518 | + | 7.47044i | 1.10142 | + | 0.712279i | ||||
\(111\) | −16.6972 | − | 2.82929i | −1.58483 | − | 0.268544i | ||||
\(112\) | −0.871961 | − | 0.785117i | −0.0823925 | − | 0.0741866i | ||||
\(113\) | −14.7495 | − | 13.2805i | −1.38752 | − | 1.24933i | −0.933615 | − | 0.358279i | \(-0.883364\pi\) |
−0.453906 | − | 0.891050i | \(-0.649970\pi\) | |||||||
\(114\) | 2.70854 | − | 3.27206i | 0.253678 | − | 0.306456i | ||||
\(115\) | −2.63505 | + | 9.90998i | −0.245719 | + | 0.924111i | ||||
\(116\) | −1.90476 | − | 5.86225i | −0.176853 | − | 0.544296i | ||||
\(117\) | −1.32785 | + | 10.4604i | −0.122760 | + | 0.967069i | ||||
\(118\) | − | 0.927065i | − | 0.0853432i | ||||||
\(119\) | 0.147023 | + | 1.39883i | 0.0134776 | + | 0.128231i | ||||
\(120\) | 1.22940 | − | 3.67268i | 0.112228 | − | 0.335268i | ||||
\(121\) | −2.80664 | + | 26.7034i | −0.255149 | + | 2.42758i | ||||
\(122\) | 1.41238 | + | 0.148447i | 0.127871 | + | 0.0134398i | ||||
\(123\) | 5.09289 | − | 1.89229i | 0.459210 | − | 0.170622i | ||||
\(124\) | 2.76114 | − | 4.78243i | 0.247958 | − | 0.429475i | ||||
\(125\) | 1.81238 | + | 11.0325i | 0.162104 | + | 0.986774i | ||||
\(126\) | −2.56453 | − | 2.41116i | −0.228467 | − | 0.214803i | ||||
\(127\) | −14.3823 | − | 4.67310i | −1.27623 | − | 0.414671i | −0.408976 | − | 0.912545i | \(-0.634114\pi\) |
−0.867249 | + | 0.497874i | \(0.834114\pi\) | |||||||
\(128\) | −0.406737 | − | 0.913545i | −0.0359508 | − | 0.0807468i | ||||
\(129\) | −9.54283 | − | 15.0471i | −0.840199 | − | 1.32482i | ||||
\(130\) | −7.00953 | − | 3.55465i | −0.614776 | − | 0.311763i | ||||
\(131\) | −3.42848 | − | 1.52646i | −0.299548 | − | 0.133367i | 0.251459 | − | 0.967868i | \(-0.419090\pi\) |
−0.551007 | + | 0.834501i | \(0.685756\pi\) | |||||||
\(132\) | 10.5422 | − | 1.55350i | 0.917581 | − | 0.135215i | ||||
\(133\) | 2.86171 | − | 0.300778i | 0.248142 | − | 0.0260808i | ||||
\(134\) | 0.708242 | + | 2.17975i | 0.0611828 | + | 0.188301i | ||||
\(135\) | 3.92471 | − | 10.9360i | 0.337785 | − | 0.941223i | ||||
\(136\) | −0.370433 | + | 1.14008i | −0.0317644 | + | 0.0977607i | ||||
\(137\) | 2.36364 | − | 11.1201i | 0.201940 | − | 0.950051i | −0.754088 | − | 0.656774i | \(-0.771921\pi\) |
0.956027 | − | 0.293277i | \(-0.0947460\pi\) | |||||||
\(138\) | 3.52958 | + | 7.11567i | 0.300458 | + | 0.605726i | ||||
\(139\) | −11.8423 | + | 2.51717i | −1.00445 | + | 0.213503i | −0.680640 | − | 0.732618i | \(-0.738298\pi\) |
−0.323814 | + | 0.946121i | \(0.604965\pi\) | |||||||
\(140\) | 2.33542 | − | 1.19559i | 0.197379 | − | 0.101046i | ||||
\(141\) | 0.416289 | − | 6.58514i | 0.0350579 | − | 0.554569i | ||||
\(142\) | 2.65240 | − | 0.278779i | 0.222585 | − | 0.0233946i | ||||
\(143\) | − | 21.6240i | − | 1.80829i | ||||||
\(144\) | −1.16088 | − | 2.76629i | −0.0967403 | − | 0.230524i | ||||
\(145\) | 13.7654 | + | 0.694994i | 1.14316 | + | 0.0577161i | ||||
\(146\) | 15.5549 | − | 6.92547i | 1.28733 | − | 0.573156i | ||||
\(147\) | 0.404935 | + | 9.73138i | 0.0333985 | + | 0.802631i | ||||
\(148\) | −2.03287 | − | 9.56389i | −0.167101 | − | 0.786147i | ||||
\(149\) | 10.3198 | + | 17.8744i | 0.845432 | + | 1.46433i | 0.885246 | + | 0.465124i | \(0.153990\pi\) |
−0.0398137 | + | 0.999207i | \(0.512676\pi\) | |||||||
\(150\) | 6.69228 | + | 5.49668i | 0.546422 | + | 0.448802i | ||||
\(151\) | 1.31097 | − | 2.27066i | 0.106685 | − | 0.184784i | −0.807740 | − | 0.589538i | \(-0.799310\pi\) |
0.914425 | + | 0.404754i | \(0.132643\pi\) | |||||||
\(152\) | 2.33236 | + | 0.757828i | 0.189179 | + | 0.0614680i | ||||
\(153\) | −1.18472 | + | 3.39549i | −0.0957793 | + | 0.274509i | ||||
\(154\) | 5.84005 | + | 4.24304i | 0.470605 | + | 0.341914i | ||||
\(155\) | 7.78933 | + | 9.58145i | 0.625654 | + | 0.769601i | ||||
\(156\) | −5.89700 | + | 1.51220i | −0.472138 | + | 0.121073i | ||||
\(157\) | 12.7978 | − | 7.38882i | 1.02138 | − | 0.589692i | 0.106874 | − | 0.994273i | \(-0.465916\pi\) |
0.914502 | + | 0.404580i | \(0.132582\pi\) | |||||||
\(158\) | −3.85471 | + | 8.65782i | −0.306664 | + | 0.688779i | ||||
\(159\) | 7.54935 | − | 3.74470i | 0.598702 | − | 0.296974i | ||||
\(160\) | 2.23278 | − | 0.121301i | 0.176516 | − | 0.00958972i | ||||
\(161\) | −1.66275 | + | 5.11743i | −0.131043 | + | 0.403310i | ||||
\(162\) | −3.30306 | − | 8.37197i | −0.259513 | − | 0.657764i | ||||
\(163\) | −14.9159 | + | 4.84645i | −1.16830 | + | 0.379604i | −0.828008 | − | 0.560716i | \(-0.810526\pi\) |
−0.340292 | + | 0.940320i | \(0.610526\pi\) | |||||||
\(164\) | 2.09892 | + | 2.33109i | 0.163898 | + | 0.182027i | ||||
\(165\) | −5.16031 | + | 23.2622i | −0.401729 | + | 1.81096i | ||||
\(166\) | 4.35694 | − | 4.83887i | 0.338164 | − | 0.375569i | ||||
\(167\) | −1.05434 | + | 2.36809i | −0.0815875 | + | 0.183248i | −0.949733 | − | 0.313062i | \(-0.898645\pi\) |
0.868145 | + | 0.496310i | \(0.165312\pi\) | |||||||
\(168\) | 0.748701 | − | 1.88934i | 0.0577635 | − | 0.145766i | ||||
\(169\) | −0.0675473 | − | 0.642669i | −0.00519594 | − | 0.0494361i | ||||
\(170\) | −2.08635 | − | 1.68289i | −0.160016 | − | 0.129072i | ||||
\(171\) | 6.94646 | + | 2.42370i | 0.531209 | + | 0.185345i | ||||
\(172\) | 6.04668 | − | 8.32254i | 0.461055 | − | 0.634587i | ||||
\(173\) | −11.5966 | + | 10.4416i | −0.881674 | + | 0.793863i | −0.979522 | − | 0.201338i | \(-0.935471\pi\) |
0.0978475 | + | 0.995201i | \(0.468804\pi\) | |||||||
\(174\) | 8.36890 | − | 6.62901i | 0.634444 | − | 0.502544i | ||||
\(175\) | 0.635571 | + | 5.83216i | 0.0480447 | + | 0.440870i | ||||
\(176\) | 3.07614 | + | 5.32802i | 0.231872 | + | 0.401615i | ||||
\(177\) | 1.50518 | − | 0.559258i | 0.113137 | − | 0.0420364i | ||||
\(178\) | 1.05078 | + | 2.36010i | 0.0787596 | + | 0.176897i | ||||
\(179\) | −19.4200 | − | 14.1094i | −1.45152 | − | 1.05459i | −0.985474 | − | 0.169826i | \(-0.945679\pi\) |
−0.466042 | − | 0.884762i | \(-0.654321\pi\) | |||||||
\(180\) | 6.70461 | − | 0.219514i | 0.499732 | − | 0.0163616i | ||||
\(181\) | −10.4114 | + | 7.56431i | −0.773872 | + | 0.562251i | −0.903134 | − | 0.429360i | \(-0.858739\pi\) |
0.129262 | + | 0.991611i | \(0.458739\pi\) | |||||||
\(182\) | −3.57153 | − | 2.06202i | −0.264739 | − | 0.152847i | ||||
\(183\) | 0.611009 | + | 2.38270i | 0.0451671 | + | 0.176134i | ||||
\(184\) | −3.06855 | + | 3.40797i | −0.226216 | + | 0.251239i | ||||
\(185\) | 21.6006 | + | 3.37882i | 1.58811 | + | 0.248416i | ||||
\(186\) | 9.43044 | + | 1.59796i | 0.691474 | + | 0.117168i | ||||
\(187\) | 1.53335 | − | 7.21385i | 0.112130 | − | 0.527529i | ||||
\(188\) | 3.62307 | − | 1.17721i | 0.264239 | − | 0.0858566i | ||||
\(189\) | 2.36769 | − | 5.61833i | 0.172224 | − | 0.408673i | ||||
\(190\) | −3.44284 | + | 4.26823i | −0.249770 | + | 0.309650i | ||||
\(191\) | −6.23534 | − | 1.32536i | −0.451173 | − | 0.0958998i | −0.0232797 | − | 0.999729i | \(-0.507411\pi\) |
−0.427893 | + | 0.903829i | \(0.640744\pi\) | |||||||
\(192\) | 1.23787 | − | 1.21148i | 0.0893354 | − | 0.0874311i | ||||
\(193\) | −11.0176 | + | 6.36103i | −0.793066 | + | 0.457877i | −0.841041 | − | 0.540972i | \(-0.818057\pi\) |
0.0479750 | + | 0.998849i | \(0.484723\pi\) | |||||||
\(194\) | −10.3092 | − | 4.58997i | −0.740161 | − | 0.329541i | ||||
\(195\) | 1.54279 | − | 13.5250i | 0.110481 | − | 0.968548i | ||||
\(196\) | −5.13712 | + | 2.28719i | −0.366937 | + | 0.163371i | ||||
\(197\) | 9.20041 | − | 12.6633i | 0.655502 | − | 0.902221i | −0.343820 | − | 0.939035i | \(-0.611721\pi\) |
0.999322 | + | 0.0368146i | \(0.0117211\pi\) | |||||||
\(198\) | 8.88191 | + | 16.1792i | 0.631210 | + | 1.14980i | ||||
\(199\) | −10.1883 | −0.722227 | −0.361113 | − | 0.932522i | \(-0.617603\pi\) | ||||
−0.361113 | + | 0.932522i | \(0.617603\pi\) | |||||||
\(200\) | −1.52687 | + | 4.76116i | −0.107966 | + | 0.336665i | ||||
\(201\) | −3.11179 | + | 2.46485i | −0.219489 | + | 0.173857i | ||||
\(202\) | 3.12601 | + | 14.7067i | 0.219946 | + | 1.03476i | ||||
\(203\) | 7.19276 | + | 0.755990i | 0.504833 | + | 0.0530601i | ||||
\(204\) | −2.07449 | + | 0.0863223i | −0.145244 | + | 0.00604377i | ||||
\(205\) | −6.54337 | + | 2.52615i | −0.457009 | + | 0.176434i | ||||
\(206\) | −3.59641 | + | 2.61294i | −0.250574 | + | 0.182052i | ||||
\(207\) | −9.42377 | + | 10.0232i | −0.654997 | + | 0.696661i | ||||
\(208\) | −2.06595 | − | 2.84353i | −0.143248 | − | 0.197163i | ||||
\(209\) | −14.7580 | − | 3.13692i | −1.02083 | − | 0.216985i | ||||
\(210\) | 3.35002 | + | 3.07054i | 0.231173 | + | 0.211887i | ||||
\(211\) | −17.4436 | + | 3.70774i | −1.20086 | + | 0.255252i | −0.764563 | − | 0.644549i | \(-0.777045\pi\) |
−0.436302 | + | 0.899801i | \(0.643712\pi\) | |||||||
\(212\) | 3.61567 | + | 3.25557i | 0.248326 | + | 0.223593i | ||||
\(213\) | 2.05270 | + | 4.13827i | 0.140649 | + | 0.283549i | ||||
\(214\) | −3.95491 | − | 4.39237i | −0.270352 | − | 0.300256i | ||||
\(215\) | 12.5652 | + | 19.2679i | 0.856939 | + | 1.31406i | ||||
\(216\) | 3.79104 | − | 3.55359i | 0.257948 | − | 0.241791i | ||||
\(217\) | 3.80856 | + | 5.24203i | 0.258542 | + | 0.355852i | ||||
\(218\) | −4.25031 | − | 2.45392i | −0.287867 | − | 0.166200i | ||||
\(219\) | 20.6278 | + | 21.0771i | 1.39390 | + | 1.42426i | ||||
\(220\) | −13.5834 | + | 2.17806i | −0.915791 | + | 0.146845i | ||||
\(221\) | −0.440415 | + | 4.19027i | −0.0296255 | + | 0.281868i | ||||
\(222\) | 14.3016 | − | 9.07005i | 0.959861 | − | 0.608742i | ||||
\(223\) | −10.3838 | + | 9.34961i | −0.695351 | + | 0.626096i | −0.939061 | − | 0.343752i | \(-0.888302\pi\) |
0.243710 | + | 0.969848i | \(0.421635\pi\) | |||||||
\(224\) | 1.17334 | 0.0783970 | ||||||||
\(225\) | −4.88725 | + | 14.1815i | −0.325817 | + | 0.945433i | ||||
\(226\) | 19.8475 | 1.32023 | ||||||||
\(227\) | 2.32198 | − | 2.09072i | 0.154115 | − | 0.138766i | −0.588466 | − | 0.808522i | \(-0.700268\pi\) |
0.742581 | + | 0.669756i | \(0.233601\pi\) | |||||||
\(228\) | 0.176597 | + | 4.24398i | 0.0116954 | + | 0.281065i | ||||
\(229\) | 1.26454 | − | 12.0313i | 0.0835632 | − | 0.795050i | −0.869837 | − | 0.493340i | \(-0.835776\pi\) |
0.953400 | − | 0.301710i | \(-0.0975575\pi\) | |||||||
\(230\) | −4.67285 | − | 9.12774i | −0.308119 | − | 0.601866i | ||||
\(231\) | −3.36597 | + | 12.0416i | −0.221464 | + | 0.792276i | ||||
\(232\) | 5.33812 | + | 3.08197i | 0.350465 | + | 0.202341i | ||||
\(233\) | −0.803382 | − | 1.10576i | −0.0526313 | − | 0.0724408i | 0.781890 | − | 0.623416i | \(-0.214256\pi\) |
−0.834521 | + | 0.550975i | \(0.814256\pi\) | |||||||
\(234\) | −6.01262 | − | 8.66213i | −0.393057 | − | 0.566261i | ||||
\(235\) | −0.429530 | + | 8.50751i | −0.0280194 | + | 0.554969i | ||||
\(236\) | 0.620327 | + | 0.688943i | 0.0403799 | + | 0.0448464i | ||||
\(237\) | −16.3822 | − | 1.03563i | −1.06414 | − | 0.0672712i | ||||
\(238\) | −1.04526 | − | 0.941156i | −0.0677541 | − | 0.0610061i | ||||
\(239\) | 23.8682 | − | 5.07334i | 1.54391 | − | 0.328167i | 0.644266 | − | 0.764801i | \(-0.277163\pi\) |
0.899639 | + | 0.436634i | \(0.143829\pi\) | |||||||
\(240\) | 1.54388 | + | 3.55196i | 0.0996571 | + | 0.229278i | ||||
\(241\) | −6.92538 | − | 1.47204i | −0.446103 | − | 0.0948221i | −0.0206176 | − | 0.999787i | \(-0.506563\pi\) |
−0.425485 | + | 0.904965i | \(0.639897\pi\) | |||||||
\(242\) | −15.7823 | − | 21.7225i | −1.01452 | − | 1.39637i | ||||
\(243\) | 11.6001 | − | 10.4133i | 0.744150 | − | 0.668013i | ||||
\(244\) | −1.14893 | + | 0.834750i | −0.0735530 | + | 0.0534394i | ||||
\(245\) | −0.682111 | − | 12.5555i | −0.0435785 | − | 0.802142i | ||||
\(246\) | −2.51857 | + | 4.81405i | −0.160578 | + | 0.306933i | ||||
\(247\) | 8.57241 | + | 0.900997i | 0.545449 | + | 0.0573290i | ||||
\(248\) | 1.14815 | + | 5.40160i | 0.0729074 | + | 0.343002i | ||||
\(249\) | 10.4847 | + | 4.15485i | 0.664444 | + | 0.263303i | ||||
\(250\) | −8.72902 | − | 6.98600i | −0.552072 | − | 0.441833i | ||||
\(251\) | 31.1462 | 1.96593 | 0.982965 | − | 0.183791i | \(-0.0588369\pi\) | ||||
0.982965 | + | 0.183791i | \(0.0588369\pi\) | |||||||
\(252\) | 3.51920 | + | 0.0758336i | 0.221689 | + | 0.00477707i | ||||
\(253\) | 16.5835 | − | 22.8252i | 1.04260 | − | 1.43501i | ||||
\(254\) | 13.8151 | − | 6.15087i | 0.866835 | − | 0.385940i | ||||
\(255\) | 1.47374 | − | 4.40261i | 0.0922890 | − | 0.275702i | ||||
\(256\) | 0.913545 | + | 0.406737i | 0.0570966 | + | 0.0254210i | ||||
\(257\) | −13.3499 | + | 7.70757i | −0.832744 | + | 0.480785i | −0.854791 | − | 0.518972i | \(-0.826315\pi\) |
0.0220470 | + | 0.999757i | \(0.492982\pi\) | |||||||
\(258\) | 17.1602 | + | 4.79677i | 1.06835 | + | 0.298634i | ||||
\(259\) | 11.2217 | + | 2.38524i | 0.697282 | + | 0.148212i | ||||
\(260\) | 7.58761 | − | 2.04867i | 0.470564 | − | 0.127053i | ||||
\(261\) | 15.8115 | + | 9.58876i | 0.978705 | + | 0.593529i | ||||
\(262\) | 3.56926 | − | 1.15972i | 0.220510 | − | 0.0716479i | ||||
\(263\) | −0.202609 | + | 0.953202i | −0.0124934 | + | 0.0587769i | −0.983953 | − | 0.178429i | \(-0.942898\pi\) |
0.971459 | + | 0.237206i | \(0.0762317\pi\) | |||||||
\(264\) | −6.79489 | + | 8.20858i | −0.418196 | + | 0.505203i | ||||
\(265\) | −9.68405 | + | 4.95765i | −0.594887 | + | 0.304546i | ||||
\(266\) | −1.92541 | + | 2.13838i | −0.118054 | + | 0.131113i | ||||
\(267\) | −3.19797 | + | 3.12980i | −0.195713 | + | 0.191541i | ||||
\(268\) | −1.98486 | − | 1.14596i | −0.121245 | − | 0.0700007i | ||||
\(269\) | −2.31532 | + | 1.68218i | −0.141168 | + | 0.102564i | −0.656128 | − | 0.754650i | \(-0.727807\pi\) |
0.514960 | + | 0.857214i | \(0.327807\pi\) | |||||||
\(270\) | 4.40100 | + | 10.7532i | 0.267837 | + | 0.654419i | ||||
\(271\) | 13.5689 | + | 9.85837i | 0.824251 | + | 0.598853i | 0.917927 | − | 0.396749i | \(-0.129862\pi\) |
−0.0936760 | + | 0.995603i | \(0.529862\pi\) | |||||||
\(272\) | −0.487574 | − | 1.09511i | −0.0295635 | − | 0.0664007i | ||||
\(273\) | 1.19336 | − | 7.04267i | 0.0722252 | − | 0.426242i | ||||
\(274\) | 5.68425 | + | 9.84540i | 0.343398 | + | 0.594782i | ||||
\(275\) | 6.28039 | − | 30.1134i | 0.378722 | − | 1.81591i | ||||
\(276\) | −7.38430 | − | 2.92622i | −0.444483 | − | 0.176138i | ||||
\(277\) | 21.1635 | − | 19.0557i | 1.27159 | − | 1.14495i | 0.289374 | − | 0.957216i | \(-0.406553\pi\) |
0.982220 | − | 0.187733i | \(-0.0601139\pi\) | |||||||
\(278\) | 7.11626 | − | 9.79469i | 0.426805 | − | 0.587446i | ||||
\(279\) | 3.09453 | + | 16.2753i | 0.185265 | + | 0.974374i | ||||
\(280\) | −0.935547 | + | 2.45120i | −0.0559096 | + | 0.146487i | ||||
\(281\) | −1.50602 | − | 14.3289i | −0.0898419 | − | 0.854788i | −0.942923 | − | 0.333010i | \(-0.891936\pi\) |
0.853081 | − | 0.521778i | \(-0.174731\pi\) | |||||||
\(282\) | 4.09695 | + | 5.17226i | 0.243970 | + | 0.308004i | ||||
\(283\) | 6.01456 | − | 13.5089i | 0.357529 | − | 0.803022i | −0.641817 | − | 0.766858i | \(-0.721819\pi\) |
0.999346 | − | 0.0361648i | \(-0.0115141\pi\) | |||||||
\(284\) | −1.78458 | + | 1.98198i | −0.105895 | + | 0.117609i | ||||
\(285\) | −9.00682 | − | 3.01496i | −0.533518 | − | 0.178591i | ||||
\(286\) | 14.4693 | + | 16.0697i | 0.855586 | + | 0.950224i | ||||
\(287\) | −3.50037 | + | 1.13734i | −0.206621 | + | 0.0671351i | ||||
\(288\) | 2.71371 | + | 1.27897i | 0.159907 | + | 0.0753640i | ||||
\(289\) | 4.80923 | − | 14.8013i | 0.282896 | − | 0.870665i | ||||
\(290\) | −10.6948 | + | 8.69440i | −0.628018 | + | 0.510553i | ||||
\(291\) | 1.23317 | − | 19.5070i | 0.0722895 | − | 1.14352i | ||||
\(292\) | −6.92547 | + | 15.5549i | −0.405282 | + | 0.910279i | ||||
\(293\) | −10.4990 | + | 6.06159i | −0.613357 | + | 0.354122i | −0.774278 | − | 0.632845i | \(-0.781887\pi\) |
0.160921 | + | 0.986967i | \(0.448554\pi\) | |||||||
\(294\) | −6.81249 | − | 6.96087i | −0.397312 | − | 0.405966i | ||||
\(295\) | −1.93387 | + | 0.746593i | −0.112594 | + | 0.0434683i | ||||
\(296\) | 7.91021 | + | 5.74710i | 0.459772 | + | 0.334044i | ||||
\(297\) | −20.9105 | + | 24.1809i | −1.21335 | + | 1.40312i | ||||
\(298\) | −19.6294 | − | 6.37799i | −1.13710 | − | 0.369467i | ||||
\(299\) | −8.05921 | + | 13.9590i | −0.466076 | + | 0.807267i | ||||
\(300\) | −8.65132 | + | 0.393180i | −0.499484 | + | 0.0227002i | ||||
\(301\) | 6.03520 | + | 10.4533i | 0.347863 | + | 0.602516i | ||||
\(302\) | 0.545131 | + | 2.56464i | 0.0313688 | + | 0.147579i | ||||
\(303\) | −21.9921 | + | 13.9473i | −1.26341 | + | 0.801253i | ||||
\(304\) | −2.24036 | + | 0.997475i | −0.128494 | + | 0.0572091i | ||||
\(305\) | −0.827770 | − | 3.06579i | −0.0473980 | − | 0.175547i | ||||
\(306\) | −1.39160 | − | 3.31608i | −0.0795528 | − | 0.189568i | ||||
\(307\) | − | 11.6307i | − | 0.663797i | −0.943315 | − | 0.331898i | \(-0.892311\pi\) | ||
0.943315 | − | 0.331898i | \(-0.107689\pi\) | |||||||
\(308\) | −7.17915 | + | 0.754559i | −0.409070 | + | 0.0429950i | ||||
\(309\) | −6.41194 | − | 4.26286i | −0.364762 | − | 0.242506i | ||||
\(310\) | −12.1998 | − | 1.90833i | −0.692904 | − | 0.108386i | ||||
\(311\) | 16.5932 | − | 3.52700i | 0.940916 | − | 0.199998i | 0.288174 | − | 0.957578i | \(-0.406952\pi\) |
0.652742 | + | 0.757580i | \(0.273619\pi\) | |||||||
\(312\) | 3.37046 | − | 5.06965i | 0.190815 | − | 0.287012i | ||||
\(313\) | 5.65996 | − | 26.6280i | 0.319920 | − | 1.50510i | −0.464891 | − | 0.885368i | \(-0.653906\pi\) |
0.784811 | − | 0.619736i | \(-0.212760\pi\) | |||||||
\(314\) | −4.56654 | + | 14.0544i | −0.257705 | + | 0.793134i | ||||
\(315\) | −2.96441 | + | 7.29142i | −0.167026 | + | 0.410825i | ||||
\(316\) | −2.92861 | − | 9.01332i | −0.164747 | − | 0.507039i | ||||
\(317\) | −8.71007 | + | 0.915465i | −0.489206 | + | 0.0514176i | −0.345921 | − | 0.938264i | \(-0.612433\pi\) |
−0.143285 | + | 0.989681i | \(0.545767\pi\) | |||||||
\(318\) | −3.10457 | + | 7.83436i | −0.174095 | + | 0.439329i | ||||
\(319\) | −34.6436 | − | 15.4243i | −1.93967 | − | 0.863598i | ||||
\(320\) | −1.57811 | + | 1.58416i | −0.0882190 | + | 0.0885574i | ||||
\(321\) | 4.74563 | − | 9.07092i | 0.264875 | − | 0.506289i | ||||
\(322\) | −2.18856 | − | 4.91559i | −0.121964 | − | 0.273935i | ||||
\(323\) | 2.79590 | + | 0.908444i | 0.155568 | + | 0.0505472i | ||||
\(324\) | 8.05659 | + | 4.01141i | 0.447588 | + | 0.222856i | ||||
\(325\) | −1.77005 | + | 17.4846i | −0.0981846 | + | 0.969872i | ||||
\(326\) | 7.84173 | − | 13.5823i | 0.434313 | − | 0.752252i | ||||
\(327\) | 1.42016 | − | 8.38115i | 0.0785348 | − | 0.463478i | ||||
\(328\) | −3.11960 | − | 0.327883i | −0.172251 | − | 0.0181043i | ||||
\(329\) | −0.467227 | + | 4.44537i | −0.0257591 | + | 0.245081i | ||||
\(330\) | −11.7306 | − | 20.7401i | −0.645746 | − | 1.14170i | ||||
\(331\) | 1.73075 | + | 16.4669i | 0.0951304 | + | 0.905105i | 0.933155 | + | 0.359473i | \(0.117044\pi\) |
−0.838025 | + | 0.545632i | \(0.816290\pi\) | |||||||
\(332\) | 6.51134i | 0.357356i | ||||||||
\(333\) | 23.3537 | + | 17.7486i | 1.27977 | + | 0.972615i | ||||
\(334\) | −0.801034 | − | 2.46533i | −0.0438306 | − | 0.134897i | ||||
\(335\) | 3.97661 | − | 3.23282i | 0.217265 | − | 0.176628i | ||||
\(336\) | 0.707824 | + | 1.90503i | 0.0386150 | + | 0.103928i | ||||
\(337\) | 13.7807 | + | 12.4082i | 0.750683 | + | 0.675918i | 0.952853 | − | 0.303432i | \(-0.0981326\pi\) |
−0.202170 | + | 0.979351i | \(0.564799\pi\) | |||||||
\(338\) | 0.480227 | + | 0.432398i | 0.0261209 | + | 0.0235194i | ||||
\(339\) | 11.9731 | + | 32.2244i | 0.650290 | + | 1.75019i | ||||
\(340\) | 2.67653 | − | 0.145410i | 0.145155 | − | 0.00788594i | ||||
\(341\) | −10.4987 | − | 32.3117i | −0.568537 | − | 1.74978i | ||||
\(342\) | −6.78400 | + | 2.84693i | −0.366837 | + | 0.153944i | ||||
\(343\) | − | 14.8114i | − | 0.799739i | ||||||
\(344\) | 1.07531 | + | 10.2309i | 0.0579767 | + | 0.551611i | ||||
\(345\) | 12.0009 | − | 13.0932i | 0.646106 | − | 0.704915i | ||||
\(346\) | 1.63114 | − | 15.5193i | 0.0876908 | − | 0.834323i | ||||
\(347\) | 5.88464 | + | 0.618500i | 0.315904 | + | 0.0332028i | 0.261154 | − | 0.965297i | \(-0.415897\pi\) |
0.0547502 | + | 0.998500i | \(0.482564\pi\) | |||||||
\(348\) | −1.78363 | + | 10.5262i | −0.0956125 | + | 0.564264i | ||||
\(349\) | −0.729789 | + | 1.26403i | −0.0390647 | + | 0.0676621i | −0.884897 | − | 0.465787i | \(-0.845771\pi\) |
0.845832 | + | 0.533449i | \(0.179105\pi\) | |||||||
\(350\) | −4.37480 | − | 3.90886i | −0.233843 | − | 0.208937i | ||||
\(351\) | 10.4367 | − | 14.9876i | 0.557070 | − | 0.799978i | ||||
\(352\) | −5.85116 | − | 1.90116i | −0.311868 | − | 0.101332i | ||||
\(353\) | 6.33073 | + | 14.2191i | 0.336951 | + | 0.756804i | 0.999966 | + | 0.00819836i | \(0.00260965\pi\) |
−0.663016 | + | 0.748606i | \(0.730724\pi\) | |||||||
\(354\) | −0.744353 | + | 1.42277i | −0.0395619 | + | 0.0756196i | ||||
\(355\) | −2.71759 | − | 5.30843i | −0.144235 | − | 0.281742i | ||||
\(356\) | −2.36010 | − | 1.05078i | −0.125085 | − | 0.0556914i | ||||
\(357\) | 0.897502 | − | 2.26484i | 0.0475009 | − | 0.119868i | ||||
\(358\) | 23.8729 | − | 2.50914i | 1.26172 | − | 0.132612i | ||||
\(359\) | 2.48566 | + | 7.65008i | 0.131188 | + | 0.403756i | 0.994978 | − | 0.100097i | \(-0.0319154\pi\) |
−0.863789 | + | 0.503853i | \(0.831915\pi\) | |||||||
\(360\) | −4.83561 | + | 4.64939i | −0.254859 | + | 0.245044i | ||||
\(361\) | −4.01284 | + | 12.3502i | −0.211202 | + | 0.650013i | ||||
\(362\) | 2.67565 | − | 12.5880i | 0.140629 | − | 0.661608i | ||||
\(363\) | 25.7479 | − | 38.7284i | 1.35141 | − | 2.03271i | ||||
\(364\) | 4.03393 | − | 0.857437i | 0.211435 | − | 0.0449419i | ||||
\(365\) | −26.9734 | − | 26.8703i | −1.41185 | − | 1.40646i | ||||
\(366\) | −2.04840 | − | 1.36184i | −0.107072 | − | 0.0711847i | ||||
\(367\) | −22.4486 | + | 2.35945i | −1.17181 | + | 0.123162i | −0.670367 | − | 0.742030i | \(-0.733863\pi\) |
−0.501441 | + | 0.865192i | \(0.667197\pi\) | |||||||
\(368\) | − | 4.58587i | − | 0.239055i | ||||||
\(369\) | −9.33544 | − | 1.18504i | −0.485984 | − | 0.0616909i | ||||
\(370\) | −18.3133 | + | 11.9427i | −0.952061 | + | 0.620870i | ||||
\(371\) | −5.21518 | + | 2.32195i | −0.270759 | + | 0.120550i | ||||
\(372\) | −8.07743 | + | 5.12268i | −0.418795 | + | 0.265599i | ||||
\(373\) | −4.90767 | − | 23.0888i | −0.254110 | − | 1.19549i | −0.901311 | − | 0.433173i | \(-0.857394\pi\) |
0.647201 | − | 0.762319i | \(-0.275939\pi\) | |||||||
\(374\) | 3.68751 | + | 6.38695i | 0.190676 | + | 0.330261i | ||||
\(375\) | 6.07664 | − | 18.3868i | 0.313796 | − | 0.949490i | ||||
\(376\) | −1.90476 | + | 3.29914i | −0.0982305 | + | 0.170140i | ||||
\(377\) | 20.6046 | + | 6.69484i | 1.06119 | + | 0.344802i | ||||
\(378\) | 1.99986 | + | 5.75952i | 0.102861 | + | 0.296238i | ||||
\(379\) | −24.6400 | − | 17.9020i | −1.26567 | − | 0.919566i | −0.266653 | − | 0.963793i | \(-0.585918\pi\) |
−0.999022 | + | 0.0442267i | \(0.985918\pi\) | |||||||
\(380\) | −0.297478 | − | 5.47562i | −0.0152603 | − | 0.280894i | ||||
\(381\) | 18.3206 | + | 18.7196i | 0.938592 | + | 0.959035i | ||||
\(382\) | 5.52060 | − | 3.18732i | 0.282458 | − | 0.163077i | ||||
\(383\) | −6.28223 | + | 14.1101i | −0.321007 | + | 0.720993i | −0.999912 | − | 0.0132324i | \(-0.995788\pi\) |
0.678906 | + | 0.734226i | \(0.262455\pi\) | |||||||
\(384\) | −0.109276 | + | 1.72860i | −0.00557647 | + | 0.0882123i | ||||
\(385\) | 4.14787 | − | 15.5995i | 0.211395 | − | 0.795022i | ||||
\(386\) | 3.93133 | − | 12.0994i | 0.200099 | − | 0.615843i | ||||
\(387\) | 2.56395 | + | 30.7550i | 0.130333 | + | 1.56336i | ||||
\(388\) | 10.7326 | − | 3.48722i | 0.544863 | − | 0.177037i | ||||
\(389\) | −7.20232 | − | 7.99899i | −0.365172 | − | 0.405565i | 0.532357 | − | 0.846520i | \(-0.321306\pi\) |
−0.897529 | + | 0.440955i | \(0.854640\pi\) | |||||||
\(390\) | 7.90350 | + | 11.0834i | 0.400209 | + | 0.561229i | ||||
\(391\) | −3.67841 | + | 4.08529i | −0.186025 | + | 0.206602i | ||||
\(392\) | 2.28719 | − | 5.13712i | 0.115521 | − | 0.259464i | ||||
\(393\) | 4.03610 | + | 5.09544i | 0.203595 | + | 0.257031i | ||||
\(394\) | 1.63615 | + | 15.5669i | 0.0824280 | + | 0.784250i | ||||
\(395\) | 21.1646 | + | 1.06857i | 1.06491 | + | 0.0537654i | ||||
\(396\) | −17.4265 | − | 6.08031i | −0.875716 | − | 0.305547i | ||||
\(397\) | −6.25091 | + | 8.60364i | −0.313724 | + | 0.431804i | −0.936538 | − | 0.350566i | \(-0.885989\pi\) |
0.622814 | + | 0.782370i | \(0.285989\pi\) | |||||||
\(398\) | 7.57135 | − | 6.81728i | 0.379518 | − | 0.341719i | ||||
\(399\) | −4.63340 | − | 1.83610i | −0.231960 | − | 0.0919201i | ||||
\(400\) | −2.05116 | − | 4.55991i | −0.102558 | − | 0.227995i | ||||
\(401\) | −10.8155 | − | 18.7331i | −0.540102 | − | 0.935484i | −0.998898 | − | 0.0469422i | \(-0.985052\pi\) |
0.458796 | − | 0.888542i | \(-0.348281\pi\) | |||||||
\(402\) | 0.663202 | − | 3.91393i | 0.0330775 | − | 0.195209i | ||||
\(403\) | 7.89463 | + | 17.7316i | 0.393260 | + | 0.883275i | ||||
\(404\) | −12.1638 | − | 8.83753i | −0.605172 | − | 0.439683i | ||||
\(405\) | −14.8040 | + | 13.6324i | −0.735615 | + | 0.677400i | ||||
\(406\) | −5.85112 | + | 4.25109i | −0.290386 | + | 0.210978i | ||||
\(407\) | −52.0951 | − | 30.0771i | −2.58226 | − | 1.49087i | ||||
\(408\) | 1.48389 | − | 1.45226i | 0.0734634 | − | 0.0718975i | ||||
\(409\) | −26.2350 | + | 29.1370i | −1.29724 | + | 1.44073i | −0.466031 | + | 0.884768i | \(0.654317\pi\) |
−0.831208 | + | 0.555962i | \(0.812350\pi\) | |||||||
\(410\) | 3.17235 | − | 6.25566i | 0.156671 | − | 0.308945i | ||||
\(411\) | −12.5560 | + | 15.1683i | −0.619339 | + | 0.748195i | ||||
\(412\) | 0.924252 | − | 4.34826i | 0.0455346 | − | 0.214224i | ||||
\(413\) | −1.03452 | + | 0.336137i | −0.0509055 | + | 0.0165402i | ||||
\(414\) | 0.296388 | − | 13.7544i | 0.0145667 | − | 0.675993i | ||||
\(415\) | −13.6027 | − | 5.19173i | −0.667731 | − | 0.254852i | ||||
\(416\) | 3.43799 | + | 0.730767i | 0.168561 | + | 0.0358288i | ||||
\(417\) | 20.1956 | + | 5.64526i | 0.988983 | + | 0.276449i | ||||
\(418\) | 13.0664 | − | 7.54387i | 0.639097 | − | 0.368983i | ||||
\(419\) | 18.2600 | + | 8.12988i | 0.892060 | + | 0.397171i | 0.800993 | − | 0.598674i | \(-0.204306\pi\) |
0.0910671 | + | 0.995845i | \(0.470972\pi\) | |||||||
\(420\) | −4.54414 | − | 0.0402540i | −0.221731 | − | 0.00196419i | ||||
\(421\) | −11.3730 | + | 5.06358i | −0.554285 | + | 0.246784i | −0.664711 | − | 0.747101i | \(-0.731445\pi\) |
0.110426 | + | 0.993884i | \(0.464779\pi\) | |||||||
\(422\) | 10.4821 | − | 14.4274i | 0.510262 | − | 0.702316i | ||||
\(423\) | −5.92618 | + | 9.77202i | −0.288141 | + | 0.475132i | ||||
\(424\) | −4.86537 | −0.236283 | ||||||||
\(425\) | −1.83033 | + | 5.70743i | −0.0887838 | + | 0.276851i | ||||
\(426\) | −4.29450 | − | 1.70181i | −0.208069 | − | 0.0824527i | ||||
\(427\) | −0.346449 | − | 1.62992i | −0.0167659 | − | 0.0788772i | ||||
\(428\) | 5.87814 | + | 0.617817i | 0.284130 | + | 0.0298633i | ||||
\(429\) | −17.3622 | + | 33.1865i | −0.838254 | + | 1.60226i | ||||
\(430\) | −22.2305 | − | 5.91105i | −1.07205 | − | 0.285056i | ||||
\(431\) | −7.69978 | + | 5.59422i | −0.370885 | + | 0.269464i | −0.757578 | − | 0.652745i | \(-0.773617\pi\) |
0.386693 | + | 0.922209i | \(0.373617\pi\) | |||||||
\(432\) | −0.439473 | + | 5.17753i | −0.0211441 | + | 0.249104i | ||||
\(433\) | 13.6239 | + | 18.7517i | 0.654725 | + | 0.901151i | 0.999292 | − | 0.0376102i | \(-0.0119745\pi\) |
−0.344568 | + | 0.938761i | \(0.611975\pi\) | |||||||
\(434\) | −6.33791 | − | 1.34716i | −0.304229 | − | 0.0646660i | ||||
\(435\) | −20.5679 | − | 12.1191i | −0.986156 | − | 0.581065i | ||||
\(436\) | 4.80058 | − | 1.02040i | 0.229906 | − | 0.0488681i | ||||
\(437\) | 8.35765 | + | 7.52526i | 0.399801 | + | 0.359982i | ||||
\(438\) | −29.4327 | − | 1.86063i | −1.40635 | − | 0.0889045i | ||||
\(439\) | −6.51488 | − | 7.23551i | −0.310938 | − | 0.345332i | 0.567338 | − | 0.823485i | \(-0.307973\pi\) |
−0.878277 | + | 0.478153i | \(0.841307\pi\) | |||||||
\(440\) | 8.63701 | − | 10.7077i | 0.411753 | − | 0.510468i | ||||
\(441\) | 7.19200 | − | 15.2600i | 0.342476 | − | 0.726665i | ||||
\(442\) | −2.47654 | − | 3.40867i | −0.117797 | − | 0.162134i | ||||
\(443\) | −26.4017 | − | 15.2430i | −1.25438 | − | 0.724218i | −0.282406 | − | 0.959295i | \(-0.591132\pi\) |
−0.971977 | + | 0.235077i | \(0.924466\pi\) | |||||||
\(444\) | −4.55912 | + | 16.3100i | −0.216366 | + | 0.774039i | ||||
\(445\) | 4.07697 | − | 4.09261i | 0.193267 | − | 0.194008i | ||||
\(446\) | 1.46055 | − | 13.8962i | 0.0691592 | − | 0.658006i | ||||
\(447\) | −1.48627 | − | 35.7180i | −0.0702981 | − | 1.68940i | ||||
\(448\) | −0.871961 | + | 0.785117i | −0.0411963 | + | 0.0370933i | ||||
\(449\) | −18.5631 | −0.876045 | −0.438023 | − | 0.898964i | \(-0.644321\pi\) | ||||
−0.438023 | + | 0.898964i | \(0.644321\pi\) | |||||||
\(450\) | −5.85733 | − | 13.8091i | −0.276117 | − | 0.650968i | ||||
\(451\) | 19.2984 | 0.908724 | ||||||||
\(452\) | −14.7495 | + | 13.2805i | −0.693760 | + | 0.624664i | ||||
\(453\) | −3.83510 | + | 2.43221i | −0.180189 | + | 0.114275i | ||||
\(454\) | −0.326603 | + | 3.10742i | −0.0153282 | + | 0.145838i | ||||
\(455\) | −1.42514 | + | 9.11086i | −0.0668118 | + | 0.427124i | ||||
\(456\) | −2.97102 | − | 3.03573i | −0.139131 | − | 0.142161i | ||||
\(457\) | −1.41558 | − | 0.817285i | −0.0662180 | − | 0.0382310i | 0.466525 | − | 0.884508i | \(-0.345506\pi\) |
−0.532743 | + | 0.846277i | \(0.678839\pi\) | |||||||
\(458\) | 7.11077 | + | 9.78714i | 0.332265 | + | 0.457323i | ||||
\(459\) | 4.54449 | − | 4.25986i | 0.212119 | − | 0.198833i | ||||
\(460\) | 9.58026 | + | 3.65649i | 0.446682 | + | 0.170485i | ||||
\(461\) | 25.6310 | + | 28.4661i | 1.19375 | + | 1.32580i | 0.932778 | + | 0.360451i | \(0.117377\pi\) |
0.260974 | + | 0.965346i | \(0.415956\pi\) | |||||||
\(462\) | −5.55597 | − | 11.2009i | −0.258487 | − | 0.521113i | ||||
\(463\) | −1.56899 | − | 1.41272i | −0.0729171 | − | 0.0656549i | 0.631866 | − | 0.775077i | \(-0.282289\pi\) |
−0.704783 | + | 0.709423i | \(0.748956\pi\) | |||||||
\(464\) | −6.02924 | + | 1.28155i | −0.279900 | + | 0.0594946i | ||||
\(465\) | −4.26126 | − | 20.9589i | −0.197611 | − | 0.971945i | ||||
\(466\) | 1.33693 | + | 0.284173i | 0.0619320 | + | 0.0131641i | ||||
\(467\) | 15.5692 | + | 21.4292i | 0.720457 | + | 0.991625i | 0.999509 | + | 0.0313483i | \(0.00998012\pi\) |
−0.279051 | + | 0.960276i | \(0.590020\pi\) | |||||||
\(468\) | 10.2643 | + | 2.41399i | 0.474469 | + | 0.111587i | ||||
\(469\) | 2.17561 | − | 1.58067i | 0.100460 | − | 0.0729886i | ||||
\(470\) | −5.37343 | − | 6.60972i | −0.247858 | − | 0.304884i | ||||
\(471\) | −25.5735 | + | 1.06415i | −1.17836 | + | 0.0490332i | ||||
\(472\) | −0.921986 | − | 0.0969047i | −0.0424379 | − | 0.00446040i | ||||
\(473\) | −13.1587 | − | 61.9067i | −0.605037 | − | 2.84647i | ||||
\(474\) | 12.8673 | − | 10.1922i | 0.591017 | − | 0.468145i | ||||
\(475\) | 11.6762 | + | 3.74446i | 0.535741 | + | 0.171808i | ||||
\(476\) | 1.40654 | 0.0644684 | ||||||||
\(477\) | −14.5927 | − | 0.314452i | −0.668155 | − | 0.0143978i | ||||
\(478\) | −14.3428 | + | 19.7412i | −0.656025 | + | 0.902940i | ||||
\(479\) | 21.6900 | − | 9.65700i | 0.991041 | − | 0.441240i | 0.153816 | − | 0.988099i | \(-0.450844\pi\) |
0.837224 | + | 0.546860i | \(0.184177\pi\) | |||||||
\(480\) | −3.52405 | − | 1.60656i | −0.160850 | − | 0.0733293i | ||||
\(481\) | 31.3950 | + | 13.9780i | 1.43149 | + | 0.637340i | ||||
\(482\) | 6.13154 | − | 3.54005i | 0.279284 | − | 0.161245i | ||||
\(483\) | 6.66070 | − | 6.51871i | 0.303072 | − | 0.296612i | ||||
\(484\) | 26.2637 | + | 5.58252i | 1.19380 | + | 0.253751i | ||||
\(485\) | −1.27239 | + | 25.2017i | −0.0577762 | + | 1.14435i | ||||
\(486\) | −1.65274 | + | 15.5006i | −0.0749698 | + | 0.703121i | ||||
\(487\) | −21.1316 | + | 6.86607i | −0.957563 | + | 0.311131i | −0.745785 | − | 0.666187i | \(-0.767925\pi\) |
−0.211778 | + | 0.977318i | \(0.567925\pi\) | |||||||
\(488\) | 0.295268 | − | 1.38913i | 0.0133662 | − | 0.0628828i | ||||
\(489\) | 26.7828 | + | 4.53825i | 1.21116 | + | 0.205227i | ||||
\(490\) | 8.90819 | + | 8.87414i | 0.402431 | + | 0.400893i | ||||
\(491\) | 4.04825 | − | 4.49604i | 0.182695 | − | 0.202903i | −0.644840 | − | 0.764318i | \(-0.723076\pi\) |
0.827535 | + | 0.561414i | \(0.189743\pi\) | |||||||
\(492\) | −1.34957 | − | 5.26279i | −0.0608432 | − | 0.237265i | ||||
\(493\) | 6.39905 | + | 3.69450i | 0.288199 | + | 0.166392i | ||||
\(494\) | −6.97343 | + | 5.06649i | −0.313749 | + | 0.227952i | ||||
\(495\) | 26.5971 | − | 31.5573i | 1.19545 | − | 1.41840i | ||||
\(496\) | −4.46762 | − | 3.24591i | −0.200602 | − | 0.145746i | ||||
\(497\) | −1.27280 | − | 2.85876i | −0.0570931 | − | 0.128233i | ||||
\(498\) | −10.5718 | + | 3.92801i | −0.473735 | + | 0.176018i | ||||
\(499\) | −3.53054 | − | 6.11508i | −0.158049 | − | 0.273749i | 0.776116 | − | 0.630590i | \(-0.217187\pi\) |
−0.934165 | + | 0.356841i | \(0.883854\pi\) | |||||||
\(500\) | 11.1615 | − | 0.649247i | 0.499156 | − | 0.0290352i | ||||
\(501\) | 3.51948 | − | 2.78778i | 0.157239 | − | 0.124549i | ||||
\(502\) | −23.1461 | + | 20.8409i | −1.03306 | + | 0.930174i | ||||
\(503\) | −19.2049 | + | 26.4333i | −0.856306 | + | 1.17860i | 0.126132 | + | 0.992013i | \(0.459744\pi\) |
−0.982438 | + | 0.186591i | \(0.940256\pi\) | |||||||
\(504\) | −2.66602 | + | 2.29845i | −0.118754 | + | 0.102381i | ||||
\(505\) | 28.1610 | − | 18.3647i | 1.25315 | − | 0.817218i | ||||
\(506\) | 2.94912 | + | 28.0590i | 0.131104 | + | 1.24737i | ||||
\(507\) | −0.412343 | + | 1.04054i | −0.0183128 | + | 0.0462122i | ||||
\(508\) | −6.15087 | + | 13.8151i | −0.272901 | + | 0.612945i | ||||
\(509\) | 10.2091 | − | 11.3384i | 0.452512 | − | 0.502566i | −0.473116 | − | 0.881000i | \(-0.656871\pi\) |
0.925628 | + | 0.378435i | \(0.123538\pi\) | |||||||
\(510\) | 1.85072 | + | 4.25790i | 0.0819513 | + | 0.188543i | ||||
\(511\) | −13.3681 | − | 14.8468i | −0.591370 | − | 0.656783i | ||||
\(512\) | −0.951057 | + | 0.309017i | −0.0420312 | + | 0.0136568i | ||||
\(513\) | −8.71478 | − | 9.29708i | −0.384767 | − | 0.410476i | ||||
\(514\) | 4.76354 | − | 14.6607i | 0.210111 | − | 0.646655i | ||||
\(515\) | 8.34693 | + | 5.39787i | 0.367810 | + | 0.237858i | ||||
\(516\) | −15.9622 | + | 7.91771i | −0.702695 | + | 0.348558i | ||||
\(517\) | 9.53277 | − | 21.4109i | 0.419251 | − | 0.941652i | ||||
\(518\) | −9.93538 | + | 5.73619i | −0.436535 | + | 0.252034i | ||||
\(519\) | 26.1812 | − | 6.71379i | 1.14923 | − | 0.294703i | ||||
\(520\) | −4.26787 | + | 6.59957i | −0.187158 | + | 0.289410i | ||||
\(521\) | −13.0196 | − | 9.45932i | −0.570401 | − | 0.414420i | 0.264850 | − | 0.964290i | \(-0.414678\pi\) |
−0.835251 | + | 0.549869i | \(0.814678\pi\) | |||||||
\(522\) | −18.1663 | + | 3.45410i | −0.795119 | + | 0.151182i | ||||
\(523\) | 7.16353 | + | 2.32757i | 0.313239 | + | 0.101778i | 0.461418 | − | 0.887183i | \(-0.347341\pi\) |
−0.148178 | + | 0.988961i | \(0.547341\pi\) | |||||||
\(524\) | −1.87647 | + | 3.25014i | −0.0819740 | + | 0.141983i | ||||
\(525\) | 3.70731 | − | 9.46098i | 0.161800 | − | 0.412911i | ||||
\(526\) | −0.487248 | − | 0.843939i | −0.0212450 | − | 0.0367975i | ||||
\(527\) | 1.37634 | + | 6.47515i | 0.0599541 | + | 0.282062i | ||||
\(528\) | −0.443028 | − | 10.6468i | −0.0192803 | − | 0.463344i | ||||
\(529\) | 1.79946 | − | 0.801173i | 0.0782375 | − | 0.0348336i | ||||
\(530\) | 3.87934 | − | 10.1641i | 0.168508 | − | 0.441502i | ||||
\(531\) | −2.75905 | − | 0.350235i | −0.119733 | − | 0.0151989i | ||||
\(532\) | − | 2.87748i | − | 0.124754i | ||||||
\(533\) | −10.9648 | + | 1.15244i | −0.474937 | + | 0.0499179i | ||||
\(534\) | 0.282309 | − | 4.46575i | 0.0122167 | − | 0.193252i | ||||
\(535\) | −5.97753 | + | 11.7873i | −0.258431 | + | 0.509609i | ||||
\(536\) | 2.24184 | − | 0.476517i | 0.0968326 | − | 0.0205824i | ||||
\(537\) | 18.4753 | + | 37.2464i | 0.797269 | + | 1.60730i | ||||
\(538\) | 0.595021 | − | 2.79935i | 0.0256532 | − | 0.120689i | ||||
\(539\) | −10.6907 | + | 32.9027i | −0.460482 | + | 1.41722i | ||||
\(540\) | −10.4659 | − | 5.04633i | −0.450379 | − | 0.217160i | ||||
\(541\) | 0.110654 | + | 0.340558i | 0.00475739 | + | 0.0146417i | 0.953407 | − | 0.301687i | \(-0.0975497\pi\) |
−0.948650 | + | 0.316329i | \(0.897550\pi\) | |||||||
\(542\) | −16.6802 | + | 1.75316i | −0.716475 | + | 0.0753046i | ||||
\(543\) | 22.0519 | − | 3.24957i | 0.946338 | − | 0.139452i | ||||
\(544\) | 1.09511 | + | 0.487574i | 0.0469524 | + | 0.0209046i | ||||
\(545\) | −1.69600 | + | 10.8424i | −0.0726485 | + | 0.464437i | ||||
\(546\) | 3.82563 | + | 6.03223i | 0.163722 | + | 0.258156i | ||||
\(547\) | −2.86121 | − | 6.42639i | −0.122337 | − | 0.274773i | 0.841987 | − | 0.539497i | \(-0.181386\pi\) |
−0.964324 | + | 0.264725i | \(0.914719\pi\) | |||||||
\(548\) | −10.8121 | − | 3.51306i | −0.461869 | − | 0.150070i | ||||
\(549\) | 0.975379 | − | 4.14733i | 0.0416282 | − | 0.177004i | ||||
\(550\) | 15.4826 | + | 26.5810i | 0.660179 | + | 1.13342i | ||||
\(551\) | 7.55817 | − | 13.0911i | 0.321989 | − | 0.557701i | ||||
\(552\) | 7.44563 | − | 2.76646i | 0.316907 | − | 0.117748i | ||||
\(553\) | 11.0590 | + | 1.16235i | 0.470277 | + | 0.0494281i | ||||
\(554\) | −2.97680 | + | 28.3224i | −0.126472 | + | 1.20330i | ||||
\(555\) | −30.4377 | − | 22.5289i | −1.29201 | − | 0.956300i | ||||
\(556\) | 1.26552 | + | 12.0406i | 0.0536698 | + | 0.510634i | ||||
\(557\) | 30.5999i | 1.29656i | 0.761403 | + | 0.648279i | \(0.224511\pi\) | ||||
−0.761403 | + | 0.648279i | \(0.775489\pi\) | |||||||
\(558\) | −13.1900 | − | 10.0242i | −0.558375 | − | 0.424359i | ||||
\(559\) | 11.1733 | + | 34.3878i | 0.472579 | + | 1.45445i | ||||
\(560\) | −0.944925 | − | 2.44760i | −0.0399304 | − | 0.103430i | ||||
\(561\) | −8.14535 | + | 9.84001i | −0.343897 | + | 0.415445i | ||||
\(562\) | 10.7071 | + | 9.64069i | 0.451651 | + | 0.406668i | ||||
\(563\) | 28.0037 | + | 25.2147i | 1.18022 | + | 1.06267i | 0.996824 | + | 0.0796318i | \(0.0253745\pi\) |
0.183392 | + | 0.983040i | \(0.441292\pi\) | |||||||
\(564\) | −6.50555 | − | 1.10234i | −0.273933 | − | 0.0464170i | ||||
\(565\) | −15.9838 | − | 41.4020i | −0.672442 | − | 1.74180i | ||||
\(566\) | 4.56955 | + | 14.0636i | 0.192072 | + | 0.591138i | ||||
\(567\) | −8.14475 | + | 6.72144i | −0.342047 | + | 0.282274i | ||||
\(568\) | − | 2.66701i | − | 0.111905i | ||||||
\(569\) | −1.08861 | − | 10.3574i | −0.0456368 | − | 0.434205i | −0.993354 | − | 0.115095i | \(-0.963283\pi\) |
0.947718 | − | 0.319110i | \(-0.103384\pi\) | |||||||
\(570\) | 8.71077 | − | 3.78619i | 0.364854 | − | 0.158586i | ||||
\(571\) | 2.55341 | − | 24.2940i | 0.106857 | − | 1.01667i | −0.801362 | − | 0.598179i | \(-0.795891\pi\) |
0.908219 | − | 0.418495i | \(-0.137442\pi\) | |||||||
\(572\) | −21.5055 | − | 2.26032i | −0.899191 | − | 0.0945088i | ||||
\(573\) | 8.50527 | + | 7.04048i | 0.355313 | + | 0.294120i | ||||
\(574\) | 1.84026 | − | 3.18742i | 0.0768108 | − | 0.133040i | ||||
\(575\) | −15.2774 | + | 17.0985i | −0.637111 | + | 0.713055i | ||||
\(576\) | −2.87248 | + | 0.865368i | −0.119687 | + | 0.0360570i | ||||
\(577\) | −22.5730 | − | 7.33443i | −0.939728 | − | 0.305336i | −0.201193 | − | 0.979552i | \(-0.564482\pi\) |
−0.738535 | + | 0.674215i | \(0.764482\pi\) | |||||||
\(578\) | 6.33005 | + | 14.2175i | 0.263295 | + | 0.591371i | ||||
\(579\) | 22.0162 | − | 0.916121i | 0.914962 | − | 0.0380727i | ||||
\(580\) | 2.13007 | − | 13.6174i | 0.0884462 | − | 0.565431i | ||||
\(581\) | −6.97949 | − | 3.10747i | −0.289558 | − | 0.128920i | ||||
\(582\) | 12.1363 | + | 15.3217i | 0.503067 | + | 0.635105i | ||||
\(583\) | 29.7691 | − | 3.12886i | 1.23291 | − | 0.129584i | ||||
\(584\) | −5.26160 | − | 16.1936i | −0.217727 | − | 0.670094i | ||||
\(585\) | −13.2272 | + | 19.5183i | −0.546876 | + | 0.806981i | ||||
\(586\) | 3.74627 | − | 11.5298i | 0.154757 | − | 0.476293i | ||||
\(587\) | 2.50207 | − | 11.7713i | 0.103271 | − | 0.485854i | −0.895866 | − | 0.444325i | \(-0.853444\pi\) |
0.999137 | − | 0.0415293i | \(-0.0132230\pi\) | |||||||
\(588\) | 9.72040 | + | 0.614489i | 0.400862 | + | 0.0253411i | ||||
\(589\) | 13.2468 | − | 2.81570i | 0.545825 | − | 0.116019i | ||||
\(590\) | 0.937576 | − | 1.84884i | 0.0385994 | − | 0.0761154i | ||||
\(591\) | −24.2875 | + | 12.0473i | −0.999052 | + | 0.495560i | ||||
\(592\) | −9.72399 | + | 1.02203i | −0.399654 | + | 0.0420053i | ||||
\(593\) | − | 11.4028i | − | 0.468256i | −0.972206 | − | 0.234128i | \(-0.924776\pi\) | ||
0.972206 | − | 0.234128i | \(-0.0752235\pi\) | |||||||
\(594\) | −0.640664 | − | 31.9617i | −0.0262868 | − | 1.31141i | ||||
\(595\) | −1.12148 | + | 2.93836i | −0.0459763 | + | 0.120461i | ||||
\(596\) | 18.8552 | − | 8.39489i | 0.772340 | − | 0.343868i | ||||
\(597\) | 15.6360 | + | 8.18030i | 0.639939 | + | 0.334797i | ||||
\(598\) | −3.35121 | − | 15.7662i | −0.137041 | − | 0.644727i | ||||
\(599\) | 15.0286 | + | 26.0303i | 0.614052 | + | 1.06357i | 0.990550 | + | 0.137152i | \(0.0437950\pi\) |
−0.376498 | + | 0.926418i | \(0.622872\pi\) | |||||||
\(600\) | 6.16610 | − | 6.08106i | 0.251730 | − | 0.248258i | ||||
\(601\) | 13.2717 | − | 22.9872i | 0.541363 | − | 0.937668i | −0.457463 | − | 0.889229i | \(-0.651242\pi\) |
0.998826 | − | 0.0484396i | \(-0.0154248\pi\) | |||||||
\(602\) | −11.4796 | − | 3.72996i | −0.467875 | − | 0.152022i | ||||
\(603\) | 6.75475 | − | 1.28433i | 0.275075 | − | 0.0523019i | ||||
\(604\) | −2.12119 | − | 1.54114i | −0.0863101 | − | 0.0627079i | ||||
\(605\) | −32.6034 | + | 50.4158i | −1.32552 | + | 2.04969i | ||||
\(606\) | 7.01072 | − | 25.0805i | 0.284791 | − | 1.01882i | ||||
\(607\) | −7.77809 | + | 4.49068i | −0.315703 | + | 0.182271i | −0.649476 | − | 0.760382i | \(-0.725012\pi\) |
0.333773 | + | 0.942654i | \(0.391678\pi\) | |||||||
\(608\) | 0.997475 | − | 2.24036i | 0.0404529 | − | 0.0908588i | ||||
\(609\) | −10.4318 | − | 6.93539i | −0.422718 | − | 0.281036i | ||||
\(610\) | 2.66657 | + | 1.72444i | 0.107966 | + | 0.0698206i | ||||
\(611\) | −4.13764 | + | 12.7343i | −0.167391 | + | 0.515176i | ||||
\(612\) | 3.25305 | + | 1.53316i | 0.131497 | + | 0.0619743i | ||||
\(613\) | 7.39120 | − | 2.40155i | 0.298528 | − | 0.0969975i | −0.155924 | − | 0.987769i | \(-0.549835\pi\) |
0.454451 | + | 0.890772i | \(0.349835\pi\) | |||||||
\(614\) | 7.78243 | + | 8.64326i | 0.314073 | + | 0.348814i | ||||
\(615\) | 12.0704 | + | 1.37686i | 0.486727 | + | 0.0555204i | ||||
\(616\) | 4.83025 | − | 5.36454i | 0.194616 | − | 0.216143i | ||||
\(617\) | 12.0221 | − | 27.0021i | 0.483992 | − | 1.08706i | −0.492265 | − | 0.870445i | \(-0.663831\pi\) |
0.976257 | − | 0.216617i | \(-0.0695024\pi\) | |||||||
\(618\) | 7.61741 | − | 1.12250i | 0.306417 | − | 0.0451536i | ||||
\(619\) | 1.46718 | + | 13.9593i | 0.0589709 | + | 0.561070i | 0.983621 | + | 0.180251i | \(0.0576911\pi\) |
−0.924650 | + | 0.380819i | \(0.875642\pi\) | |||||||
\(620\) | 10.3432 | − | 6.74512i | 0.415392 | − | 0.270891i | ||||
\(621\) | 22.5105 | − | 7.81623i | 0.903316 | − | 0.313655i | ||||
\(622\) | −9.97115 | + | 13.7241i | −0.399807 | + | 0.550287i | ||||
\(623\) | 2.25267 | − | 2.02831i | 0.0902512 | − | 0.0812625i | ||||
\(624\) | 0.887514 | + | 6.02276i | 0.0355290 | + | 0.241104i | ||||
\(625\) | −7.54313 | + | 23.8349i | −0.301725 | + | 0.953395i | ||||
\(626\) | 13.6114 | + | 23.5757i | 0.544023 | + | 0.942275i | ||||
\(627\) | 20.1306 | + | 16.6637i | 0.803939 | + | 0.665483i | ||||
\(628\) | −6.01061 | − | 13.5000i | −0.239849 | − | 0.538711i | ||||
\(629\) | 9.48233 | + | 6.88932i | 0.378085 | + | 0.274695i | ||||
\(630\) | −2.67593 | − | 7.40216i | −0.106611 | − | 0.294909i | ||||
\(631\) | −5.44305 | + | 3.95461i | −0.216684 | + | 0.157430i | −0.690833 | − | 0.723014i | \(-0.742756\pi\) |
0.474149 | + | 0.880445i | \(0.342756\pi\) | |||||||
\(632\) | 8.20747 | + | 4.73858i | 0.326476 | + | 0.188491i | ||||
\(633\) | 29.7478 | + | 8.31537i | 1.18237 | + | 0.330506i | ||||
\(634\) | 5.86027 | − | 6.50849i | 0.232741 | − | 0.258485i | ||||
\(635\) | −23.9565 | − | 23.8649i | −0.950684 | − | 0.947051i | ||||
\(636\) | −2.93507 | − | 7.89942i | −0.116383 | − | 0.313232i | ||||
\(637\) | 4.10931 | − | 19.3328i | 0.162817 | − | 0.765992i | ||||
\(638\) | 36.0662 | − | 11.7186i | 1.42787 | − | 0.463944i | ||||
\(639\) | 0.172371 | − | 7.99918i | 0.00681888 | − | 0.316443i | ||||
\(640\) | 0.112752 | − | 2.23322i | 0.00445690 | − | 0.0882759i | ||||
\(641\) | 36.6259 | + | 7.78508i | 1.44664 | + | 0.307492i | 0.863281 | − | 0.504724i | \(-0.168406\pi\) |
0.583356 | + | 0.812216i | \(0.301739\pi\) | |||||||
\(642\) | 2.54293 | + | 9.91645i | 0.100362 | + | 0.391371i | ||||
\(643\) | 8.06945 | − | 4.65890i | 0.318228 | − | 0.183729i | −0.332374 | − | 0.943148i | \(-0.607850\pi\) |
0.650603 | + | 0.759418i | \(0.274516\pi\) | |||||||
\(644\) | 4.91559 | + | 2.18856i | 0.193701 | + | 0.0862414i | ||||
\(645\) | −3.81349 | − | 39.6593i | −0.150156 | − | 1.56158i | ||||
\(646\) | −2.68563 | + | 1.19572i | −0.105665 | + | 0.0470449i | ||||
\(647\) | −18.9061 | + | 26.0220i | −0.743275 | + | 1.02303i | 0.255149 | + | 0.966902i | \(0.417875\pi\) |
−0.998424 | + | 0.0561280i | \(0.982125\pi\) | |||||||
\(648\) | −8.67137 | + | 2.40985i | −0.340643 | + | 0.0946679i | ||||
\(649\) | 5.70356 | 0.223884 | ||||||||
\(650\) | −10.3841 | − | 14.1780i | −0.407297 | − | 0.556107i | ||||
\(651\) | −1.63613 | − | 11.1029i | −0.0641249 | − | 0.435158i | ||||
\(652\) | 3.26077 | + | 15.3407i | 0.127702 | + | 0.600789i | ||||
\(653\) | −16.0164 | − | 1.68340i | −0.626772 | − | 0.0658764i | −0.214183 | − | 0.976794i | \(-0.568709\pi\) |
−0.412589 | + | 0.910917i | \(0.635375\pi\) | |||||||
\(654\) | 4.55270 | + | 7.17868i | 0.178025 | + | 0.280708i | ||||
\(655\) | −5.29363 | − | 6.51155i | −0.206839 | − | 0.254427i | ||||
\(656\) | 2.53771 | − | 1.84376i | 0.0990810 | − | 0.0719866i | ||||
\(657\) | −14.7345 | − | 48.9094i | −0.574850 | − | 1.90814i | ||||
\(658\) | −2.62732 | − | 3.61619i | −0.102423 | − | 0.140974i | ||||
\(659\) | 30.5325 | + | 6.48988i | 1.18938 | + | 0.252810i | 0.759762 | − | 0.650202i | \(-0.225316\pi\) |
0.429616 | + | 0.903012i | \(0.358649\pi\) | |||||||
\(660\) | 22.5953 | + | 7.56360i | 0.879522 | + | 0.294413i | ||||
\(661\) | 33.7155 | − | 7.16646i | 1.31138 | − | 0.278743i | 0.501409 | − | 0.865210i | \(-0.332815\pi\) |
0.809973 | + | 0.586467i | \(0.199482\pi\) | |||||||
\(662\) | −12.3047 | − | 11.0792i | −0.478237 | − | 0.430607i | ||||
\(663\) | 4.04033 | − | 6.07722i | 0.156913 | − | 0.236020i | ||||
\(664\) | −4.35694 | − | 4.83887i | −0.169082 | − | 0.187785i | ||||
\(665\) | 6.01128 | + | 2.29432i | 0.233107 | + | 0.0889699i | ||||
\(666\) | −29.2313 | + | 2.43692i | −1.13269 | + | 0.0944287i | ||||
\(667\) | 16.6149 | + | 22.8685i | 0.643333 | + | 0.885472i | ||||
\(668\) | 2.24491 | + | 1.29610i | 0.0868582 | + | 0.0501476i | ||||
\(669\) | 23.4430 | − | 6.01164i | 0.906360 | − | 0.232423i | ||||
\(670\) | −0.792018 | + | 5.06332i | −0.0305983 | + | 0.195613i | ||||
\(671\) | −0.913288 | + | 8.68935i | −0.0352571 | + | 0.335449i | ||||
\(672\) | −1.80073 | − | 0.942090i | −0.0694648 | − | 0.0363419i | ||||
\(673\) | −13.7817 | + | 12.4091i | −0.531244 | + | 0.478334i | −0.890550 | − | 0.454885i | \(-0.849680\pi\) |
0.359306 | + | 0.933220i | \(0.383014\pi\) | |||||||
\(674\) | −18.5438 | −0.714280 | ||||||||
\(675\) | 18.8870 | − | 17.8404i | 0.726962 | − | 0.686678i | ||||
\(676\) | −0.646209 | −0.0248542 | ||||||||
\(677\) | 15.9558 | − | 14.3666i | 0.613230 | − | 0.552155i | −0.302907 | − | 0.953020i | \(-0.597957\pi\) |
0.916137 | + | 0.400865i | \(0.131290\pi\) | |||||||
\(678\) | −30.4601 | − | 15.9358i | −1.16981 | − | 0.612011i | ||||
\(679\) | −1.38406 | + | 13.1684i | −0.0531153 | + | 0.505359i | ||||
\(680\) | −1.89175 | + | 1.89901i | −0.0725454 | + | 0.0728237i | ||||
\(681\) | −5.24223 | + | 1.34430i | −0.200883 | + | 0.0515135i | ||||
\(682\) | 29.4228 | + | 16.9873i | 1.12666 | + | 0.650477i | ||||
\(683\) | −3.11310 | − | 4.28482i | −0.119120 | − | 0.163954i | 0.745293 | − | 0.666737i | \(-0.232310\pi\) |
−0.864413 | + | 0.502783i | \(0.832310\pi\) | |||||||
\(684\) | 3.13653 | − | 6.65507i | 0.119928 | − | 0.254463i | ||||
\(685\) | 15.9599 | − | 19.7862i | 0.609797 | − | 0.755992i | ||||
\(686\) | 9.91075 | + | 11.0070i | 0.378394 | + | 0.420249i | ||||
\(687\) | −11.6008 | + | 17.4492i | −0.442598 | + | 0.665729i | ||||
\(688\) | −7.64489 | − | 6.88349i | −0.291459 | − | 0.262431i | ||||
\(689\) | −16.7271 | + | 3.55545i | −0.637251 | + | 0.135452i | ||||
\(690\) | −0.157329 | + | 17.7603i | −0.00598940 | + | 0.676124i | ||||
\(691\) | −47.5761 | − | 10.1126i | −1.80988 | − | 0.384702i | −0.826019 | − | 0.563643i | \(-0.809399\pi\) |
−0.983860 | + | 0.178941i | \(0.942733\pi\) | |||||||
\(692\) | 9.17226 | + | 12.6245i | 0.348677 | + | 0.479913i | ||||
\(693\) | 14.8341 | − | 15.7777i | 0.563501 | − | 0.599345i | ||||
\(694\) | −4.78699 | + | 3.47795i | −0.181712 | + | 0.132021i | ||||
\(695\) | −26.1628 | − | 6.95664i | −0.992410 | − | 0.263880i | ||||
\(696\) | −5.71791 | − | 9.01597i | −0.216737 | − | 0.341750i | ||||
\(697\) | −3.73961 | − | 0.393049i | −0.141648 | − | 0.0148878i | ||||
\(698\) | −0.303463 | − | 1.42768i | −0.0114863 | − | 0.0540386i | ||||
\(699\) | 0.345127 | + | 2.34207i | 0.0130539 | + | 0.0885851i | ||||
\(700\) | 5.86665 | − | 0.0224624i | 0.221739 | − | 0.000849000i | ||||
\(701\) | −20.8673 | −0.788149 | −0.394074 | − | 0.919079i | \(-0.628935\pi\) | ||||
−0.394074 | + | 0.919079i | \(0.628935\pi\) | |||||||
\(702\) | 2.27267 | + | 18.1215i | 0.0857764 | + | 0.683950i | ||||
\(703\) | 14.0941 | − | 19.3989i | 0.531569 | − | 0.731642i | ||||
\(704\) | 5.62038 | − | 2.50235i | 0.211826 | − | 0.0943110i | ||||
\(705\) | 7.49000 | − | 12.7117i | 0.282090 | − | 0.478749i | ||||
\(706\) | −14.2191 | − | 6.33073i | −0.535141 | − | 0.238260i | ||||
\(707\) | 15.2780 | − | 8.82075i | 0.574588 | − | 0.331738i | ||||
\(708\) | −0.398860 | − | 1.55540i | −0.0149901 | − | 0.0584554i | ||||
\(709\) | −10.2766 | − | 2.18435i | −0.385945 | − | 0.0820351i | 0.0108530 | − | 0.999941i | \(-0.496545\pi\) |
−0.396798 | + | 0.917906i | \(0.629879\pi\) | |||||||
\(710\) | 5.57160 | + | 2.12651i | 0.209098 | + | 0.0798064i | ||||
\(711\) | 24.3104 | + | 14.7429i | 0.911712 | + | 0.552902i | ||||
\(712\) | 2.45701 | − | 0.798330i | 0.0920803 | − | 0.0299187i | ||||
\(713\) | −5.26526 | + | 24.7711i | −0.197185 | + | 0.927684i | ||||
\(714\) | 0.848501 | + | 2.28365i | 0.0317544 | + | 0.0854636i | ||||
\(715\) | 21.8691 | − | 43.1245i | 0.817860 | − | 1.61277i | ||||
\(716\) | −16.0621 | + | 17.8387i | −0.600268 | + | 0.666665i | ||||
\(717\) | −40.7042 | − | 11.3780i | −1.52013 | − | 0.424919i | ||||
\(718\) | −6.96611 | − | 4.02188i | −0.259973 | − | 0.150095i | ||||
\(719\) | 35.0730 | − | 25.4820i | 1.30800 | − | 0.950318i | 0.308002 | − | 0.951386i | \(-0.400340\pi\) |
0.999999 | + | 0.00106734i | \(0.000339746\pi\) | |||||||
\(720\) | 0.482511 | − | 6.69083i | 0.0179821 | − | 0.249352i | ||||
\(721\) | 4.21981 | + | 3.06587i | 0.157154 | + | 0.114179i | ||||
\(722\) | −5.28181 | − | 11.8631i | −0.196568 | − | 0.441500i | ||||
\(723\) | 9.44652 | + | 7.81963i | 0.351320 | + | 0.290815i | ||||
\(724\) | 6.43459 | + | 11.1450i | 0.239140 | + | 0.414202i | ||||
\(725\) | 26.7494 | + | 15.3075i | 0.993449 | + | 0.568507i | ||||
\(726\) | 6.77996 | + | 46.0095i | 0.251628 | + | 1.70757i | ||||
\(727\) | −29.4919 | + | 26.5546i | −1.09379 | + | 0.984855i | −0.999942 | − | 0.0107313i | \(-0.996584\pi\) |
−0.0938499 | + | 0.995586i | \(0.529917\pi\) | |||||||
\(728\) | −2.42405 | + | 3.33642i | −0.0898414 | + | 0.123656i | ||||
\(729\) | −26.1638 | + | 6.66744i | −0.969030 | + | 0.246942i | ||||
\(730\) | 38.0249 | + | 1.91981i | 1.40736 | + | 0.0710554i | ||||
\(731\) | 1.28902 | + | 12.2642i | 0.0476761 | + | 0.453608i | ||||
\(732\) | 2.43351 | − | 0.358602i | 0.0899452 | − | 0.0132543i | ||||
\(733\) | −2.87951 | + | 6.46748i | −0.106357 | + | 0.238882i | −0.958882 | − | 0.283804i | \(-0.908403\pi\) |
0.852525 | + | 0.522686i | \(0.175070\pi\) | |||||||
\(734\) | 15.1038 | − | 16.7745i | 0.557492 | − | 0.619157i | ||||
\(735\) | −9.03415 | + | 19.8167i | −0.333230 | + | 0.730951i | ||||
\(736\) | 3.06855 | + | 3.40797i | 0.113108 | + | 0.125619i | ||||
\(737\) | −13.4104 | + | 4.35730i | −0.493978 | + | 0.160503i | ||||
\(738\) | 7.73053 | − | 5.36597i | 0.284565 | − | 0.197524i | ||||
\(739\) | 15.5136 | − | 47.7458i | 0.570676 | − | 1.75636i | −0.0797780 | − | 0.996813i | \(-0.525421\pi\) |
0.650454 | − | 0.759546i | \(-0.274579\pi\) | |||||||
\(740\) | 5.61819 | − | 21.1291i | 0.206529 | − | 0.776721i | ||||
\(741\) | −12.4327 | − | 8.26567i | −0.456728 | − | 0.303647i | ||||
\(742\) | 2.32195 | − | 5.21518i | 0.0852414 | − | 0.191455i | ||||
\(743\) | −28.7793 | + | 16.6157i | −1.05581 | + | 0.609573i | −0.924270 | − | 0.381738i | \(-0.875326\pi\) |
−0.131540 | + | 0.991311i | \(0.541992\pi\) | |||||||
\(744\) | 2.57495 | − | 9.21175i | 0.0944023 | − | 0.337719i | ||||
\(745\) | 2.50362 | + | 46.0836i | 0.0917254 | + | 1.68837i | ||||
\(746\) | 19.0965 | + | 13.8744i | 0.699173 | + | 0.507979i | ||||
\(747\) | −12.7550 | − | 14.7948i | −0.466682 | − | 0.541314i | ||||
\(748\) | −7.01405 | − | 2.27900i | −0.256459 | − | 0.0833286i | ||||
\(749\) | −3.46752 | + | 6.00592i | −0.126700 | + | 0.219451i | ||||
\(750\) | 7.78735 | + | 17.7301i | 0.284354 | + | 0.647412i | ||||
\(751\) | 9.02688 | + | 15.6350i | 0.329396 | + | 0.570530i | 0.982392 | − | 0.186831i | \(-0.0598217\pi\) |
−0.652996 | + | 0.757361i | \(0.726488\pi\) | |||||||
\(752\) | −0.792044 | − | 3.72627i | −0.0288829 | − | 0.135883i | ||||
\(753\) | −47.8003 | − | 25.0077i | −1.74194 | − | 0.911332i | ||||
\(754\) | −19.7919 | + | 8.81194i | −0.720780 | + | 0.320912i | ||||
\(755\) | 4.91086 | − | 3.20253i | 0.178724 | − | 0.116552i | ||||
\(756\) | −5.34006 | − | 2.94200i | −0.194216 | − | 0.106999i | ||||
\(757\) | − | 10.5675i | − | 0.384084i | −0.981387 | − | 0.192042i | \(-0.938489\pi\) | ||
0.981387 | − | 0.192042i | \(-0.0615110\pi\) | |||||||
\(758\) | 30.2899 | − | 3.18360i | 1.10018 | − | 0.115634i | ||||
\(759\) | −43.7775 | + | 21.7150i | −1.58902 | + | 0.788203i | ||||
\(760\) | 3.88498 | + | 3.87013i | 0.140923 | + | 0.140384i | ||||
\(761\) | −13.4595 | + | 2.86089i | −0.487905 | + | 0.103707i | −0.445294 | − | 0.895384i | \(-0.646901\pi\) |
−0.0426107 | + | 0.999092i | \(0.513568\pi\) | |||||||
\(762\) | −26.1407 | − | 1.65252i | −0.946978 | − | 0.0598647i | ||||
\(763\) | −1.19727 | + | 5.63271i | −0.0433441 | + | 0.203918i | ||||
\(764\) | −1.96987 | + | 6.06264i | −0.0712674 | + | 0.219339i | ||||
\(765\) | −5.79667 | + | 5.57344i | −0.209579 | + | 0.201508i | ||||
\(766\) | −4.77290 | − | 14.6895i | −0.172452 | − | 0.530753i | ||||
\(767\) | −3.24059 | + | 0.340600i | −0.117011 | + | 0.0122984i | ||||
\(768\) | −1.07545 | − | 1.35772i | −0.0388070 | − | 0.0489925i | ||||
\(769\) | −14.9692 | − | 6.66471i | −0.539803 | − | 0.240336i | 0.118679 | − | 0.992933i | \(-0.462134\pi\) |
−0.658481 | + | 0.752597i | \(0.728801\pi\) | |||||||
\(770\) | 7.35561 | + | 14.3681i | 0.265078 | + | 0.517791i | ||||
\(771\) | 26.6767 | − | 1.11005i | 0.960739 | − | 0.0399776i | ||||
\(772\) | 5.17452 | + | 11.6222i | 0.186235 | + | 0.418291i | ||||
\(773\) | 7.13939 | + | 2.31973i | 0.256786 | + | 0.0834348i | 0.434581 | − | 0.900633i | \(-0.356896\pi\) |
−0.177795 | + | 0.984068i | \(0.556896\pi\) | |||||||
\(774\) | −22.4845 | − | 21.1398i | −0.808188 | − | 0.759854i | ||||
\(775\) | 5.84410 | + | 26.9858i | 0.209926 | + | 0.969360i | ||||
\(776\) | −5.64244 | + | 9.77299i | −0.202552 | + | 0.350830i | ||||
\(777\) | −15.3069 | − | 12.6707i | −0.549131 | − | 0.454559i | ||||
\(778\) | 10.7047 | + | 1.12511i | 0.383783 | + | 0.0403373i | ||||
\(779\) | −0.804096 | + | 7.65046i | −0.0288097 | + | 0.274106i | ||||
\(780\) | −13.2897 | − | 2.94809i | −0.475847 | − | 0.105558i | ||||
\(781\) | 1.71512 | + | 16.3183i | 0.0613719 | + | 0.583914i | ||||
\(782\) | − | 5.49730i | − | 0.196583i | ||||||
\(783\) | −16.5670 | − | 27.4112i | −0.592058 | − | 0.979596i | ||||
\(784\) | 1.73769 | + | 5.34805i | 0.0620603 | + | 0.191002i | ||||
\(785\) | 32.9952 | − | 1.79255i | 1.17765 | − | 0.0639788i | ||||
\(786\) | −6.40893 | − | 1.08597i | −0.228599 | − | 0.0387353i | ||||
\(787\) | 11.6012 | + | 10.4458i | 0.413537 | + | 0.372351i | 0.849477 | − | 0.527625i | \(-0.176917\pi\) |
−0.435940 | + | 0.899976i | \(0.643584\pi\) | |||||||
\(788\) | −11.6322 | − | 10.4737i | −0.414380 | − | 0.373109i | ||||
\(789\) | 1.07628 | − | 1.30021i | 0.0383168 | − | 0.0462887i | ||||
\(790\) | −16.4434 | + | 13.3678i | −0.585030 | + | 0.475605i | ||||
\(791\) | −7.19633 | − | 22.1480i | −0.255872 | − | 0.787493i | ||||
\(792\) | 17.0190 | − | 7.14207i | 0.604742 | − | 0.253782i | ||||
\(793\) | − | 4.99158i | − | 0.177256i | ||||||
\(794\) | −1.11163 | − | 10.5764i | −0.0394502 | − | 0.375343i | ||||
\(795\) | 18.8428 | + | 0.166917i | 0.668284 | + | 0.00591995i | ||||
\(796\) | −1.06496 | + | 10.1325i | −0.0377466 | + | 0.359135i | ||||
\(797\) | −17.0285 | − | 1.78977i | −0.603181 | − | 0.0633969i | −0.201984 | − | 0.979389i | \(-0.564739\pi\) |
−0.401197 | + | 0.915992i | \(0.631406\pi\) | |||||||
\(798\) | 4.67188 | − | 1.73586i | 0.165383 | − | 0.0614487i | ||||
\(799\) | −2.28332 | + | 3.95483i | −0.0807782 | + | 0.139912i | ||||
\(800\) | 4.57548 | + | 2.01618i | 0.161768 | + | 0.0712827i | ||||
\(801\) | 7.42091 | − | 2.23564i | 0.262205 | − | 0.0789923i | ||||
\(802\) | 20.5724 | + | 6.68437i | 0.726435 | + | 0.236033i | ||||
\(803\) | 42.6074 | + | 95.6977i | 1.50358 | + | 3.37710i | ||||
\(804\) | 2.12608 | + | 3.35239i | 0.0749809 | + | 0.118230i | ||||
\(805\) | −8.49146 | + | 8.52404i | −0.299285 | + | 0.300433i | ||||
\(806\) | −17.7316 | − | 7.89463i | −0.624570 | − | 0.278077i | ||||
\(807\) | 4.90398 | − | 0.722651i | 0.172628 | − | 0.0254385i | ||||
\(808\) | 14.9529 | − | 1.57162i | 0.526042 | − | 0.0552893i | ||||
\(809\) | −8.97144 | − | 27.6112i | −0.315419 | − | 0.970760i | −0.975582 | − | 0.219637i | \(-0.929513\pi\) |
0.660163 | − | 0.751123i | \(-0.270487\pi\) | |||||||
\(810\) | 1.87963 | − | 20.0366i | 0.0660435 | − | 0.704016i | ||||
\(811\) | 2.76919 | − | 8.52270i | 0.0972395 | − | 0.299272i | −0.890591 | − | 0.454804i | \(-0.849709\pi\) |
0.987831 | + | 0.155532i | \(0.0497092\pi\) | |||||||
\(812\) | 1.50370 | − | 7.07434i | 0.0527694 | − | 0.248261i | ||||
\(813\) | −12.9089 | − | 26.0244i | −0.452733 | − | 0.912714i | ||||
\(814\) | 58.8397 | − | 12.5068i | 2.06233 | − | 0.438362i | ||||
\(815\) | −34.6479 | − | 5.41972i | −1.21366 | − | 0.189845i | ||||
\(816\) | −0.130994 | + | 2.07215i | −0.00458572 | + | 0.0725399i | ||||
\(817\) | 25.0900 | − | 2.63707i | 0.877788 | − | 0.0922593i | ||||
\(818\) | − | 39.2076i | − | 1.37086i | ||||||
\(819\) | −7.48611 | + | 9.85028i | −0.261586 | + | 0.344197i | ||||
\(820\) | 1.82834 | + | 6.77158i | 0.0638484 | + | 0.236474i | ||||
\(821\) | −3.21080 | + | 1.42954i | −0.112058 | + | 0.0498914i | −0.462000 | − | 0.886880i | \(-0.652868\pi\) |
0.349942 | + | 0.936771i | \(0.386201\pi\) | |||||||
\(822\) | −0.818651 | − | 19.6738i | −0.0285537 | − | 0.686202i | ||||
\(823\) | 8.38718 | + | 39.4586i | 0.292359 | + | 1.37544i | 0.841747 | + | 0.539872i | \(0.181527\pi\) |
−0.549388 | + | 0.835567i | \(0.685139\pi\) | |||||||
\(824\) | 2.22270 | + | 3.84983i | 0.0774315 | + | 0.134115i | ||||
\(825\) | −33.8170 | + | 41.1727i | −1.17736 | + | 1.43345i | ||||
\(826\) | 0.543881 | − | 0.942029i | 0.0189240 | − | 0.0327774i | ||||
\(827\) | −18.2348 | − | 5.92483i | −0.634085 | − | 0.206027i | −0.0257010 | − | 0.999670i | \(-0.508182\pi\) |
−0.608384 | + | 0.793643i | \(0.708182\pi\) | |||||||
\(828\) | 8.98325 | + | 10.4199i | 0.312190 | + | 0.362115i | ||||
\(829\) | −5.50318 | − | 3.99829i | −0.191133 | − | 0.138866i | 0.488103 | − | 0.872786i | \(-0.337689\pi\) |
−0.679236 | + | 0.733919i | \(0.737689\pi\) | |||||||
\(830\) | 13.5827 | − | 5.24378i | 0.471463 | − | 0.182014i | ||||
\(831\) | −47.7800 | + | 12.2525i | −1.65747 | + | 0.425035i | ||||
\(832\) | −3.04390 | + | 1.75740i | −0.105528 | + | 0.0609268i | ||||
\(833\) | 2.74176 | − | 6.15810i | 0.0949965 | − | 0.213366i | ||||
\(834\) | −18.7857 | + | 9.31825i | −0.650495 | + | 0.322665i | ||||
\(835\) | −4.49761 | + | 3.65637i | −0.155646 | + | 0.126534i | ||||
\(836\) | −4.66237 | + | 14.3493i | −0.161251 | + | 0.496280i | ||||
\(837\) | 8.31843 | − | 27.4624i | 0.287527 | − | 0.949240i | ||||
\(838\) | −19.0098 | + | 6.17665i | −0.656682 | + | 0.213369i | ||||
\(839\) | −6.39950 | − | 7.10737i | −0.220935 | − | 0.245373i | 0.622480 | − | 0.782636i | \(-0.286125\pi\) |
−0.843415 | + | 0.537262i | \(0.819459\pi\) | |||||||
\(840\) | 3.40389 | − | 3.01071i | 0.117445 | − | 0.103879i | ||||
\(841\) | 6.01821 | − | 6.68390i | 0.207525 | − | 0.230479i | ||||
\(842\) | 5.06358 | − | 11.3730i | 0.174502 | − | 0.391939i | ||||
\(843\) | −9.19353 | + | 23.1998i | −0.316642 | + | 0.799045i | ||||
\(844\) | 1.86408 | + | 17.7356i | 0.0641644 | + | 0.610484i | ||||
\(845\) | 0.515247 | − | 1.34998i | 0.0177250 | − | 0.0464408i | ||||
\(846\) | −2.13475 | − | 11.2274i | −0.0733941 | − | 0.386006i | ||||
\(847\) | −18.5180 | + | 25.4878i | −0.636285 | + | 0.875772i | ||||
\(848\) | 3.61567 | − | 3.25557i | 0.124163 | − | 0.111797i | ||||
\(849\) | −20.0771 | + | 15.9031i | −0.689044 | + | 0.545793i | ||||
\(850\) | −2.45882 | − | 5.46617i | −0.0843367 | − | 0.187488i | ||||
\(851\) | 22.4193 | + | 38.8314i | 0.768524 | + | 1.33112i | ||||
\(852\) | 4.33016 | − | 1.60889i | 0.148349 | − | 0.0551197i | ||||
\(853\) | −4.83980 | − | 10.8704i | −0.165711 | − | 0.372194i | 0.811534 | − | 0.584305i | \(-0.198633\pi\) |
−0.977246 | + | 0.212111i | \(0.931966\pi\) | |||||||
\(854\) | 1.34809 | + | 0.979444i | 0.0461307 | + | 0.0335159i | ||||
\(855\) | 11.4021 | + | 11.8588i | 0.389943 | + | 0.405562i | ||||
\(856\) | −4.78171 | + | 3.47411i | −0.163435 | + | 0.118743i | ||||
\(857\) | −2.52990 | − | 1.46064i | −0.0864198 | − | 0.0498945i | 0.456167 | − | 0.889894i | \(-0.349222\pi\) |
−0.542587 | + | 0.840000i | \(0.682555\pi\) | |||||||
\(858\) | −9.30348 | − | 36.2799i | −0.317616 | − | 1.23858i | ||||
\(859\) | 22.9856 | − | 25.5280i | 0.784257 | − | 0.871006i | −0.210036 | − | 0.977694i | \(-0.567358\pi\) |
0.994293 | + | 0.106688i | \(0.0340246\pi\) | |||||||
\(860\) | 20.4757 | − | 10.4823i | 0.698216 | − | 0.357444i | ||||
\(861\) | 6.28524 | + | 1.06501i | 0.214200 | + | 0.0362955i | ||||
\(862\) | 1.97879 | − | 9.30947i | 0.0673978 | − | 0.317082i | ||||
\(863\) | −23.8699 | + | 7.75580i | −0.812541 | + | 0.264011i | −0.685674 | − | 0.727909i | \(-0.740492\pi\) |
−0.126867 | + | 0.991920i | \(0.540492\pi\) | |||||||
\(864\) | −3.13786 | − | 4.14172i | −0.106752 | − | 0.140904i | ||||
\(865\) | −33.6870 | + | 9.09557i | −1.14539 | + | 0.309259i | ||||
\(866\) | −22.6719 | − | 4.81907i | −0.770423 | − | 0.163759i | ||||
\(867\) | −19.2649 | + | 18.8543i | −0.654272 | + | 0.640325i | ||||
\(868\) | 5.61142 | − | 3.23975i | 0.190464 | − | 0.109964i | ||||
\(869\) | −53.2653 | − | 23.7152i | −1.80690 | − | 0.804484i | ||||
\(870\) | 23.3942 | − | 4.75640i | 0.793137 | − | 0.161257i | ||||
\(871\) | 7.35919 | − | 3.27652i | 0.249357 | − | 0.111021i | ||||
\(872\) | −2.88475 | + | 3.97052i | −0.0976900 | + | 0.134459i | ||||
\(873\) | −17.5550 | + | 28.9475i | −0.594147 | + | 0.979724i | ||||
\(874\) | −11.2463 | −0.380413 | ||||||||
\(875\) | −4.63077 | + | 12.2738i | −0.156549 | + | 0.414930i | ||||
\(876\) | 23.1178 | − | 18.3116i | 0.781077 | − | 0.618692i | ||||
\(877\) | −9.12877 | − | 42.9475i | −0.308257 | − | 1.45023i | −0.810618 | − | 0.585575i | \(-0.800869\pi\) |
0.502362 | − | 0.864658i | \(-0.332465\pi\) | |||||||
\(878\) | 9.68300 | + | 1.01772i | 0.326785 | + | 0.0343465i | ||||
\(879\) | 20.9798 | − | 0.872997i | 0.707632 | − | 0.0294454i | ||||
\(880\) | 0.746279 | + | 13.7366i | 0.0251571 | + | 0.463062i | ||||
\(881\) | −13.4995 | + | 9.80799i | −0.454811 | + | 0.330440i | −0.791492 | − | 0.611179i | \(-0.790696\pi\) |
0.336681 | + | 0.941619i | \(0.390696\pi\) | |||||||
\(882\) | 4.86621 | + | 16.1527i | 0.163854 | + | 0.543891i | ||||
\(883\) | 20.3669 | + | 28.0326i | 0.685399 | + | 0.943371i | 0.999983 | − | 0.00585842i | \(-0.00186480\pi\) |
−0.314583 | + | 0.949230i | \(0.601865\pi\) | |||||||
\(884\) | 4.12128 | + | 0.876004i | 0.138614 | + | 0.0294632i | ||||
\(885\) | 3.56737 | + | 0.406926i | 0.119916 | + | 0.0136787i | ||||
\(886\) | 29.8199 | − | 6.33841i | 1.00182 | − | 0.212943i | ||||
\(887\) | 40.1245 | + | 36.1282i | 1.34725 | + | 1.21307i | 0.956206 | + | 0.292695i | \(0.0945521\pi\) |
0.391043 | + | 0.920373i | \(0.372115\pi\) | |||||||
\(888\) | −7.52544 | − | 15.1713i | −0.252537 | − | 0.509117i | ||||
\(889\) | −11.8729 | − | 13.1862i | −0.398205 | − | 0.442251i | ||||
\(890\) | −0.291288 | + | 5.76942i | −0.00976401 | + | 0.193391i | ||||
\(891\) | 51.5066 | − | 20.3213i | 1.72554 | − | 0.680789i | ||||
\(892\) | 8.21299 | + | 11.3042i | 0.274991 | + | 0.378493i | ||||
\(893\) | 8.09076 | + | 4.67120i | 0.270747 | + | 0.156316i | ||||
\(894\) | 25.0045 | + | 25.5491i | 0.836276 | + | 0.854490i | ||||
\(895\) | −24.4597 | − | 47.7784i | −0.817596 | − | 1.59706i | ||||
\(896\) | 0.122647 | − | 1.16691i | 0.00409736 | − | 0.0389838i | ||||
\(897\) | 23.5764 | − | 14.9521i | 0.787192 | − | 0.499235i | ||||
\(898\) | 13.7950 | − | 12.4211i | 0.460347 | − | 0.414498i | ||||
\(899\) | 34.0390 | 1.13526 | ||||||||
\(900\) | 13.5929 | + | 6.34285i | 0.453098 | + | 0.211428i | ||||
\(901\) | −5.83234 | −0.194304 | ||||||||
\(902\) | −14.3415 | + | 12.9131i | −0.477519 | + | 0.429960i | ||||
\(903\) | −0.869195 | − | 20.8885i | −0.0289250 | − | 0.695124i | ||||
\(904\) | 2.07463 | − | 19.7387i | 0.0690010 | − | 0.656501i | ||||
\(905\) | −28.4134 | + | 4.55602i | −0.944493 | + | 0.151447i | ||||
\(906\) | 1.22257 | − | 4.37367i | 0.0406171 | − | 0.145305i | ||||
\(907\) | −20.0935 | − | 11.6010i | −0.667194 | − | 0.385205i | 0.127819 | − | 0.991798i | \(-0.459202\pi\) |
−0.795013 | + | 0.606593i | \(0.792536\pi\) | |||||||
\(908\) | −1.83655 | − | 2.52780i | −0.0609482 | − | 0.0838880i | ||||
\(909\) | 44.9500 | − | 3.74734i | 1.49090 | − | 0.124291i | ||||
\(910\) | −5.03727 | − | 7.72429i | −0.166984 | − | 0.256058i | ||||
\(911\) | −9.99753 | − | 11.1034i | −0.331233 | − | 0.367871i | 0.554406 | − | 0.832247i | \(-0.312946\pi\) |
−0.885639 | + | 0.464375i | \(0.846279\pi\) | |||||||
\(912\) | 4.23919 | + | 0.267987i | 0.140374 | + | 0.00887393i | ||||
\(913\) | 29.7700 | + | 26.8051i | 0.985244 | + | 0.887118i | ||||
\(914\) | 1.59885 | − | 0.339846i | 0.0528853 | − | 0.0112411i | ||||
\(915\) | −1.19118 | + | 5.36972i | −0.0393792 | + | 0.177518i | ||||
\(916\) | −11.8332 | − | 2.51523i | −0.390980 | − | 0.0831054i | ||||
\(917\) | −2.58829 | − | 3.56248i | −0.0854730 | − | 0.117644i | ||||
\(918\) | −0.526816 | + | 6.20655i | −0.0173875 | + | 0.204847i | ||||
\(919\) | −26.4598 | + | 19.2242i | −0.872828 | + | 0.634147i | −0.931344 | − | 0.364140i | \(-0.881363\pi\) |
0.0585162 | + | 0.998286i | \(0.481363\pi\) | |||||||
\(920\) | −9.56619 | + | 3.69314i | −0.315388 | + | 0.121759i | ||||
\(921\) | −9.33841 | + | 17.8497i | −0.307711 | + | 0.588167i | ||||
\(922\) | −38.0950 | − | 4.00395i | −1.25459 | − | 0.131863i | ||||
\(923\) | −1.94896 | − | 9.16915i | −0.0641509 | − | 0.301806i | ||||
\(924\) | 11.6238 | + | 4.60621i | 0.382393 | + | 0.151533i | ||||
\(925\) | 39.6608 | + | 28.5839i | 1.30404 | + | 0.939832i | ||||
\(926\) | 2.11128 | 0.0693811 | ||||||||
\(927\) | 6.41774 | + | 11.6905i | 0.210786 | + | 0.383966i | ||||
\(928\) | 3.62307 | − | 4.98673i | 0.118933 | − | 0.163697i | ||||
\(929\) | 33.0614 | − | 14.7199i | 1.08471 | − | 0.482944i | 0.215054 | − | 0.976602i | \(-0.431007\pi\) |
0.869656 | + | 0.493658i | \(0.164340\pi\) | |||||||
\(930\) | 17.1910 | + | 12.7242i | 0.563714 | + | 0.417241i | ||||
\(931\) | −12.5982 | − | 5.60907i | −0.412889 | − | 0.183830i | ||||
\(932\) | −1.18368 | + | 0.683398i | −0.0387727 | + | 0.0223854i | ||||
\(933\) | −28.2977 | − | 7.91002i | −0.926424 | − | 0.258962i | ||||
\(934\) | −25.9091 | − | 5.50715i | −0.847772 | − | 0.180199i | ||||
\(935\) | 10.3536 | − | 12.8358i | 0.338598 | − | 0.419775i | ||||
\(936\) | −9.24317 | + | 5.07424i | −0.302122 | + | 0.165857i | ||||
\(937\) | 38.3618 | − | 12.4645i | 1.25323 | − | 0.407198i | 0.394151 | − | 0.919046i | \(-0.371039\pi\) |
0.859076 | + | 0.511848i | \(0.171039\pi\) | |||||||
\(938\) | −0.559116 | + | 2.63043i | −0.0182558 | + | 0.0858867i | ||||
\(939\) | −30.0664 | + | 36.3218i | −0.981179 | + | 1.18532i | ||||
\(940\) | 8.41601 | + | 1.31645i | 0.274500 | + | 0.0429380i | ||||
\(941\) | −10.9763 | + | 12.1904i | −0.357818 | + | 0.397397i | −0.894998 | − | 0.446071i | \(-0.852823\pi\) |
0.537180 | + | 0.843468i | \(0.319490\pi\) | |||||||
\(942\) | 18.2928 | − | 17.9028i | 0.596010 | − | 0.583305i | ||||
\(943\) | −12.4577 | − | 7.19245i | −0.405678 | − | 0.234218i | ||||
\(944\) | 0.750011 | − | 0.544915i | 0.0244108 | − | 0.0177355i | ||||
\(945\) | 10.4039 | − | 8.81004i | 0.338439 | − | 0.286591i | ||||
\(946\) | 51.2025 | + | 37.2008i | 1.66474 | + | 1.20950i | ||||
\(947\) | −11.3837 | − | 25.5681i | −0.369920 | − | 0.830853i | −0.998585 | − | 0.0531772i | \(-0.983065\pi\) |
0.628665 | − | 0.777676i | \(-0.283601\pi\) | |||||||
\(948\) | −2.74236 | + | 16.1842i | −0.0890678 | + | 0.525640i | ||||
\(949\) | −29.9231 | − | 51.8283i | −0.971343 | − | 1.68242i | ||||
\(950\) | −11.1826 | + | 5.03023i | −0.362813 | + | 0.163202i | ||||
\(951\) | 14.1024 | + | 5.58846i | 0.457303 | + | 0.181218i | ||||
\(952\) | −1.04526 | + | 0.941156i | −0.0338771 | + | 0.0305030i | ||||
\(953\) | 24.1771 | − | 33.2769i | 0.783172 | − | 1.07794i | −0.211753 | − | 0.977323i | \(-0.567917\pi\) |
0.994925 | − | 0.100620i | \(-0.0320827\pi\) | |||||||
\(954\) | 11.0549 | − | 9.53075i | 0.357916 | − | 0.308570i | ||||
\(955\) | −11.0947 | − | 8.94919i | −0.359016 | − | 0.289589i | ||||
\(956\) | −2.55064 | − | 24.2678i | −0.0824937 | − | 0.784875i | ||||
\(957\) | 40.7835 | + | 51.4877i | 1.31834 | + | 1.66436i | ||||
\(958\) | −9.65700 | + | 21.6900i | −0.312004 | + | 0.700772i | ||||
\(959\) | 8.92559 | − | 9.91288i | 0.288222 | − | 0.320103i | ||||
\(960\) | 3.69388 | − | 1.16414i | 0.119220 | − | 0.0375725i | ||||
\(961\) | −0.337528 | − | 0.374862i | −0.0108880 | − | 0.0120923i | ||||
\(962\) | −32.6841 | + | 10.6197i | −1.05378 | + | 0.342393i | ||||
\(963\) | −14.5663 | + | 10.1109i | −0.469393 | + | 0.325818i | ||||
\(964\) | −2.18787 | + | 6.73357i | −0.0704666 | + | 0.216874i | ||||
\(965\) | −28.4055 | + | 1.54320i | −0.914405 | + | 0.0496775i | ||||
\(966\) | −0.587991 | + | 9.30122i | −0.0189183 | + | 0.299262i | ||||
\(967\) | 16.2200 | − | 36.4306i | 0.521599 | − | 1.17153i | −0.440232 | − | 0.897884i | \(-0.645104\pi\) |
0.961831 | − | 0.273646i | \(-0.0882296\pi\) | |||||||
\(968\) | −23.2532 | + | 13.4252i | −0.747385 | + | 0.431503i | ||||
\(969\) | −3.56149 | − | 3.63907i | −0.114412 | − | 0.116904i | ||||
\(970\) | −15.9176 | − | 19.5799i | −0.511084 | − | 0.628672i | ||||
\(971\) | −20.3889 | − | 14.8134i | −0.654312 | − | 0.475386i | 0.210425 | − | 0.977610i | \(-0.432515\pi\) |
−0.864737 | + | 0.502224i | \(0.832515\pi\) | |||||||
\(972\) | −9.14370 | − | 12.6251i | −0.293284 | − | 0.404950i | ||||
\(973\) | −13.5102 | − | 4.38974i | −0.433118 | − | 0.140729i | ||||
\(974\) | 11.1095 | − | 19.2423i | 0.355972 | − | 0.616562i | ||||
\(975\) | 16.7551 | − | 25.4126i | 0.536594 | − | 0.813854i | ||||
\(976\) | 0.710080 | + | 1.22990i | 0.0227291 | + | 0.0393680i | ||||
\(977\) | 4.31227 | + | 20.2876i | 0.137962 | + | 0.649059i | 0.991723 | + | 0.128395i | \(0.0409824\pi\) |
−0.853761 | + | 0.520664i | \(0.825684\pi\) | |||||||
\(978\) | −22.9402 | + | 14.5486i | −0.733545 | + | 0.465213i | ||||
\(979\) | −14.5200 | + | 6.46471i | −0.464060 | + | 0.206613i | ||||
\(980\) | −12.5580 | − | 0.634034i | −0.401152 | − | 0.0202535i | ||||
\(981\) | −8.90886 | + | 11.7224i | −0.284438 | + | 0.374266i | ||||
\(982\) | 6.05002i | 0.193064i | ||||||||
\(983\) | −46.8064 | + | 4.91955i | −1.49289 | + | 0.156909i | −0.815519 | − | 0.578731i | \(-0.803548\pi\) |
−0.677373 | + | 0.735640i | \(0.736882\pi\) | |||||||
\(984\) | 4.52442 | + | 3.00798i | 0.144233 | + | 0.0958908i | ||||
\(985\) | 31.1551 | − | 15.9495i | 0.992685 | − | 0.508194i | ||||
\(986\) | −7.22752 | + | 1.53626i | −0.230171 | + | 0.0489244i | ||||
\(987\) | 4.28631 | − | 6.44720i | 0.136435 | − | 0.205217i | ||||
\(988\) | 1.79212 | − | 8.43127i | 0.0570150 | − | 0.268234i | ||||
\(989\) | −14.5782 | + | 44.8669i | −0.463558 | + | 1.42669i | ||||
\(990\) | 1.35051 | + | 41.2486i | 0.0429220 | + | 1.31097i | ||||
\(991\) | 0.249823 | + | 0.768877i | 0.00793589 | + | 0.0244242i | 0.954946 | − | 0.296779i | \(-0.0959126\pi\) |
−0.947010 | + | 0.321204i | \(0.895913\pi\) | |||||||
\(992\) | 5.49203 | − | 0.577235i | 0.174372 | − | 0.0183272i | ||||
\(993\) | 10.5653 | − | 26.6616i | 0.335281 | − | 0.846080i | ||||
\(994\) | 2.85876 | + | 1.27280i | 0.0906745 | + | 0.0403709i | ||||
\(995\) | −20.3184 | − | 10.3038i | −0.644135 | − | 0.326652i | ||||
\(996\) | 5.22804 | − | 9.99301i | 0.165657 | − | 0.316641i | ||||
\(997\) | −8.55584 | − | 19.2167i | −0.270966 | − | 0.608600i | 0.725892 | − | 0.687809i | \(-0.241427\pi\) |
−0.996858 | + | 0.0792089i | \(0.974761\pi\) | |||||||
\(998\) | 6.71549 | + | 2.18200i | 0.212575 | + | 0.0690699i | ||||
\(999\) | −21.5905 | − | 45.9898i | −0.683094 | − | 1.45505i |
(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 | 450.2.v.a.79.2 | ✓ | 240 | |
9.4 | even | 3 | inner | 450.2.v.a.229.12 | yes | 240 | |
25.19 | even | 10 | inner | 450.2.v.a.169.12 | yes | 240 | |
225.94 | even | 30 | inner | 450.2.v.a.319.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.v.a.79.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
450.2.v.a.169.12 | yes | 240 | 25.19 | even | 10 | inner | |
450.2.v.a.229.12 | yes | 240 | 9.4 | even | 3 | inner | |
450.2.v.a.319.2 | yes | 240 | 225.94 | even | 30 | inner |