Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.7 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | 0.212565 | − | 0.977147i | 0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | −2.18918 | + | 0.455502i | −0.979032 | + | 0.203707i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 0.172948 | − | 0.316731i | 0.0653682 | − | 0.119713i | −0.842951 | − | 0.537990i | \(-0.819184\pi\) |
0.908320 | + | 0.418277i | \(0.137366\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −2.15111 | + | 0.610516i | −0.680240 | + | 0.193062i | ||||
\(11\) | 4.35576 | − | 3.77429i | 1.31331 | − | 1.13799i | 0.332485 | − | 0.943108i | \(-0.392113\pi\) |
0.980827 | − | 0.194883i | \(-0.0624327\pi\) | |||||||
\(12\) | 0.0713392 | − | 0.997452i | 0.0205938 | − | 0.287940i | ||||
\(13\) | 0.701781 | − | 0.383202i | 0.194639 | − | 0.106281i | −0.378974 | − | 0.925407i | \(-0.623723\pi\) |
0.573613 | + | 0.819126i | \(0.305541\pi\) | |||||||
\(14\) | 0.149912 | − | 0.328262i | 0.0400657 | − | 0.0877316i | ||||
\(15\) | −0.0202515 | + | 2.23598i | −0.00522893 | + | 0.577327i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | 0.276383 | + | 0.369204i | 0.0670327 | + | 0.0895452i | 0.832805 | − | 0.553567i | \(-0.186734\pi\) |
−0.765772 | + | 0.643112i | \(0.777643\pi\) | |||||||
\(18\) | −0.936950 | − | 0.349464i | −0.220841 | − | 0.0823695i | ||||
\(19\) | −0.891653 | − | 6.20158i | −0.204559 | − | 1.42274i | −0.790538 | − | 0.612414i | \(-0.790199\pi\) |
0.585978 | − | 0.810327i | \(-0.300710\pi\) | |||||||
\(20\) | −2.10207 | + | 0.762419i | −0.470038 | + | 0.170482i | ||||
\(21\) | −0.272730 | − | 0.236322i | −0.0595145 | − | 0.0515696i | ||||
\(22\) | 4.07541 | − | 4.07541i | 0.868880 | − | 0.868880i | ||||
\(23\) | 2.21044 | − | 4.25605i | 0.460909 | − | 0.887448i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 4.58504 | − | 1.99435i | 0.917007 | − | 0.398871i | ||||
\(26\) | 0.672656 | − | 0.432290i | 0.131919 | − | 0.0847790i | ||||
\(27\) | −0.599278 | + | 0.800541i | −0.115331 | + | 0.154064i | ||||
\(28\) | 0.126112 | − | 0.338120i | 0.0238330 | − | 0.0638986i | ||||
\(29\) | −9.47323 | − | 1.36204i | −1.75913 | − | 0.252925i | −0.814293 | − | 0.580454i | \(-0.802875\pi\) |
−0.944841 | + | 0.327529i | \(0.893784\pi\) | |||||||
\(30\) | 0.139313 | + | 2.23172i | 0.0254349 | + | 0.407455i | ||||
\(31\) | 1.31556 | + | 0.845457i | 0.236281 | + | 0.151849i | 0.653424 | − | 0.756992i | \(-0.273332\pi\) |
−0.417143 | + | 0.908841i | \(0.636968\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −2.76215 | − | 5.05850i | −0.480829 | − | 0.880572i | ||||
\(34\) | 0.302017 | + | 0.348547i | 0.0517956 | + | 0.0597753i | ||||
\(35\) | −0.234343 | + | 0.772159i | −0.0396112 | + | 0.130519i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 3.10334 | + | 8.32037i | 0.510186 | + | 1.36786i | 0.895494 | + | 0.445073i | \(0.146822\pi\) |
−0.385309 | + | 0.922788i | \(0.625905\pi\) | |||||||
\(38\) | −1.33180 | − | 6.12217i | −0.216046 | − | 0.993147i | ||||
\(39\) | −0.225270 | − | 0.767199i | −0.0360721 | − | 0.122850i | ||||
\(40\) | −2.04233 | + | 0.910437i | −0.322920 | + | 0.143953i | ||||
\(41\) | −1.67365 | − | 3.66478i | −0.261380 | − | 0.572343i | 0.732754 | − | 0.680493i | \(-0.238234\pi\) |
−0.994135 | + | 0.108150i | \(0.965507\pi\) | |||||||
\(42\) | −0.288894 | − | 0.216263i | −0.0445773 | − | 0.0333701i | ||||
\(43\) | 7.03749 | + | 1.53091i | 1.07321 | + | 0.233462i | 0.714249 | − | 0.699892i | \(-0.246768\pi\) |
0.358958 | + | 0.933354i | \(0.383132\pi\) | |||||||
\(44\) | 3.77429 | − | 4.35576i | 0.568996 | − | 0.656656i | ||||
\(45\) | 2.18057 | + | 0.495080i | 0.325061 | + | 0.0738021i | ||||
\(46\) | 1.90118 | − | 4.40290i | 0.280314 | − | 0.649172i | ||||
\(47\) | −1.40356 | − | 1.40356i | −0.204731 | − | 0.204731i | 0.597293 | − | 0.802023i | \(-0.296243\pi\) |
−0.802023 | + | 0.597293i | \(0.796243\pi\) | |||||||
\(48\) | −0.0713392 | − | 0.997452i | −0.0102969 | − | 0.143970i | ||||
\(49\) | 3.71408 | + | 5.77922i | 0.530583 | + | 0.825603i | ||||
\(50\) | 4.43108 | − | 2.31637i | 0.626649 | − | 0.327584i | ||||
\(51\) | 0.419516 | − | 0.191587i | 0.0587440 | − | 0.0268275i | ||||
\(52\) | 0.640103 | − | 0.479175i | 0.0887663 | − | 0.0664496i | ||||
\(53\) | −1.55615 | − | 0.849720i | −0.213753 | − | 0.116718i | 0.368806 | − | 0.929506i | \(-0.379767\pi\) |
−0.582559 | + | 0.812788i | \(0.697949\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | −7.81636 | + | 10.2467i | −1.05396 | + | 1.38166i | ||||
\(56\) | 0.101670 | − | 0.346255i | 0.0135862 | − | 0.0462703i | ||||
\(57\) | −6.24939 | − | 0.446965i | −0.827752 | − | 0.0592020i | ||||
\(58\) | −9.54626 | − | 0.682762i | −1.25349 | − | 0.0896510i | ||||
\(59\) | −4.03973 | + | 13.7580i | −0.525928 | + | 1.79115i | 0.0813852 | + | 0.996683i | \(0.474066\pi\) |
−0.607313 | + | 0.794463i | \(0.707753\pi\) | |||||||
\(60\) | 0.298167 | + | 2.21610i | 0.0384932 | + | 0.286097i | ||||
\(61\) | −4.25012 | + | 6.61332i | −0.544172 | + | 0.846748i | −0.999040 | − | 0.0438106i | \(-0.986050\pi\) |
0.454868 | + | 0.890559i | \(0.349687\pi\) | |||||||
\(62\) | 1.37252 | + | 0.749453i | 0.174310 | + | 0.0951806i | ||||
\(63\) | −0.288894 | + | 0.216263i | −0.0363972 | + | 0.0272466i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | −1.36178 | + | 1.15856i | −0.168908 | + | 0.143702i | ||||
\(66\) | −3.11598 | − | 4.84857i | −0.383551 | − | 0.596817i | ||||
\(67\) | −0.842709 | − | 11.7826i | −0.102953 | − | 1.43947i | −0.742048 | − | 0.670347i | \(-0.766145\pi\) |
0.639095 | − | 0.769128i | \(-0.279309\pi\) | |||||||
\(68\) | 0.326113 | + | 0.326113i | 0.0395470 | + | 0.0395470i | ||||
\(69\) | −3.68892 | − | 3.06461i | −0.444094 | − | 0.368936i | ||||
\(70\) | −0.178661 | + | 0.786910i | −0.0213541 | + | 0.0940537i | ||||
\(71\) | −2.46650 | + | 2.84649i | −0.292719 | + | 0.337816i | −0.882992 | − | 0.469388i | \(-0.844475\pi\) |
0.590273 | + | 0.807204i | \(0.299020\pi\) | |||||||
\(72\) | −0.977147 | − | 0.212565i | −0.115158 | − | 0.0250511i | ||||
\(73\) | 12.9380 | + | 9.68526i | 1.51428 | + | 1.13357i | 0.951782 | + | 0.306774i | \(0.0992497\pi\) |
0.562496 | + | 0.826800i | \(0.309841\pi\) | |||||||
\(74\) | 3.68900 | + | 8.07778i | 0.428837 | + | 0.939023i | ||||
\(75\) | −0.974158 | − | 4.90418i | −0.112486 | − | 0.566286i | ||||
\(76\) | −1.76515 | − | 6.01156i | −0.202477 | − | 0.689573i | ||||
\(77\) | −0.442113 | − | 2.03236i | −0.0503834 | − | 0.231609i | ||||
\(78\) | −0.279427 | − | 0.749173i | −0.0316389 | − | 0.0848272i | ||||
\(79\) | 3.46495 | + | 1.01740i | 0.389837 | + | 0.114466i | 0.470776 | − | 0.882253i | \(-0.343974\pi\) |
−0.0809395 | + | 0.996719i | \(0.525792\pi\) | |||||||
\(80\) | −1.97217 | + | 1.05382i | −0.220496 | + | 0.117820i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | −1.93083 | − | 3.53605i | −0.213224 | − | 0.390491i | ||||
\(83\) | −0.718827 | + | 0.268108i | −0.0789015 | + | 0.0294287i | −0.388605 | − | 0.921404i | \(-0.627043\pi\) |
0.309704 | + | 0.950833i | \(0.399770\pi\) | |||||||
\(84\) | −0.303586 | − | 0.195103i | −0.0331239 | − | 0.0212874i | ||||
\(85\) | −0.773226 | − | 0.682362i | −0.0838681 | − | 0.0740126i | ||||
\(86\) | 7.12878 | + | 1.02496i | 0.768716 | + | 0.110525i | ||||
\(87\) | −3.34460 | + | 8.96721i | −0.358578 | + | 0.961386i | ||||
\(88\) | 3.45394 | − | 4.61392i | 0.368191 | − | 0.491846i | ||||
\(89\) | −3.65712 | + | 2.35029i | −0.387654 | + | 0.249130i | −0.719922 | − | 0.694055i | \(-0.755822\pi\) |
0.332268 | + | 0.943185i | \(0.392186\pi\) | |||||||
\(90\) | 2.21034 | + | 0.338258i | 0.232990 | + | 0.0356555i | ||||
\(91\) | − | 0.288550i | − | 0.0302482i | ||||||
\(92\) | 1.58224 | − | 4.52731i | 0.164960 | − | 0.472004i | ||||
\(93\) | 1.10578 | − | 1.10578i | 0.114664 | − | 0.114664i | ||||
\(94\) | −1.50012 | − | 1.29986i | −0.154725 | − | 0.134070i | ||||
\(95\) | 4.77682 | + | 13.1702i | 0.490092 | + | 1.35124i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | −0.902631 | − | 0.336664i | −0.0916483 | − | 0.0341831i | 0.303222 | − | 0.952920i | \(-0.401938\pi\) |
−0.394870 | + | 0.918737i | \(0.629210\pi\) | |||||||
\(98\) | 4.11690 | + | 5.49953i | 0.415870 | + | 0.555537i | ||||
\(99\) | −5.53004 | + | 1.62377i | −0.555790 | + | 0.163195i | ||||
\(100\) | 4.25454 | − | 2.62657i | 0.425454 | − | 0.262657i | ||||
\(101\) | −0.117026 | + | 0.256251i | −0.0116445 | + | 0.0254980i | −0.915365 | − | 0.402625i | \(-0.868098\pi\) |
0.903720 | + | 0.428123i | \(0.140825\pi\) | |||||||
\(102\) | 0.404780 | − | 0.221026i | 0.0400792 | − | 0.0218849i | ||||
\(103\) | 0.0737520 | − | 1.03119i | 0.00726700 | − | 0.101606i | −0.992524 | − | 0.122050i | \(-0.961053\pi\) |
0.999791 | + | 0.0204436i | \(0.00650786\pi\) | |||||||
\(104\) | 0.604288 | − | 0.523619i | 0.0592553 | − | 0.0513450i | ||||
\(105\) | 0.704700 | + | 0.393122i | 0.0687717 | + | 0.0383648i | ||||
\(106\) | −1.61280 | − | 0.736541i | −0.156649 | − | 0.0715392i | ||||
\(107\) | 16.8834 | − | 3.67277i | 1.63218 | − | 0.355060i | 0.699186 | − | 0.714940i | \(-0.253546\pi\) |
0.932999 | + | 0.359880i | \(0.117182\pi\) | |||||||
\(108\) | −0.479249 | + | 0.877679i | −0.0461158 | + | 0.0844547i | ||||
\(109\) | −0.277224 | + | 1.92813i | −0.0265532 | + | 0.184682i | −0.998781 | − | 0.0493534i | \(-0.984284\pi\) |
0.972228 | + | 0.234035i | \(0.0751930\pi\) | |||||||
\(110\) | −7.06546 | + | 10.7782i | −0.673665 | + | 1.02766i | ||||
\(111\) | 8.78989 | − | 1.26379i | 0.834299 | − | 0.119954i | ||||
\(112\) | 0.0767091 | − | 0.352626i | 0.00724833 | − | 0.0333200i | ||||
\(113\) | 3.97474 | − | 0.284279i | 0.373912 | − | 0.0267427i | 0.116881 | − | 0.993146i | \(-0.462710\pi\) |
0.257031 | + | 0.966403i | \(0.417256\pi\) | |||||||
\(114\) | −6.26535 | −0.586804 | ||||||||
\(115\) | −2.90041 | + | 10.3241i | −0.270465 | + | 0.962730i | ||||
\(116\) | −9.57064 | −0.888612 | ||||||||
\(117\) | −0.797550 | + | 0.0570419i | −0.0737336 | + | 0.00527353i | ||||
\(118\) | −3.04795 | + | 14.0112i | −0.280586 | + | 1.28983i | ||||
\(119\) | 0.164738 | − | 0.0236858i | 0.0151015 | − | 0.00217127i | ||||
\(120\) | 0.455502 | + | 2.18918i | 0.0415815 | + | 0.199844i | ||||
\(121\) | 3.16194 | − | 21.9918i | 0.287449 | − | 1.99925i | ||||
\(122\) | −3.76750 | + | 6.89967i | −0.341094 | + | 0.624666i | ||||
\(123\) | −3.93679 | + | 0.856396i | −0.354968 | + | 0.0772187i | ||||
\(124\) | 1.42249 | + | 0.649629i | 0.127743 | + | 0.0583384i | ||||
\(125\) | −9.12904 | + | 6.45450i | −0.816527 | + | 0.577308i | ||||
\(126\) | −0.272730 | + | 0.236322i | −0.0242967 | + | 0.0210532i | ||||
\(127\) | −0.929590 | + | 12.9974i | −0.0824878 | + | 1.15333i | 0.772616 | + | 0.634873i | \(0.218948\pi\) |
−0.855104 | + | 0.518456i | \(0.826507\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | 2.99185 | − | 6.55125i | 0.263418 | − | 0.576805i | ||||
\(130\) | −1.27566 | + | 1.25276i | −0.111883 | + | 0.109874i | ||||
\(131\) | −11.2792 | + | 3.31187i | −0.985468 | + | 0.289359i | −0.734480 | − | 0.678631i | \(-0.762574\pi\) |
−0.250988 | + | 0.967990i | \(0.580756\pi\) | |||||||
\(132\) | −3.45394 | − | 4.61392i | −0.300627 | − | 0.401590i | ||||
\(133\) | −2.11844 | − | 0.790137i | −0.183692 | − | 0.0685136i | ||||
\(134\) | −1.68112 | − | 11.6925i | −0.145227 | − | 1.01008i | ||||
\(135\) | 0.947280 | − | 2.02550i | 0.0815288 | − | 0.174328i | ||||
\(136\) | 0.348547 | + | 0.302017i | 0.0298876 | + | 0.0258978i | ||||
\(137\) | 7.32599 | − | 7.32599i | 0.625902 | − | 0.625902i | −0.321133 | − | 0.947034i | \(-0.604064\pi\) |
0.947034 | + | 0.321133i | \(0.104064\pi\) | |||||||
\(138\) | −3.89815 | − | 2.79364i | −0.331833 | − | 0.237810i | ||||
\(139\) | 0.971160i | 0.0823727i | 0.999151 | + | 0.0411864i | \(0.0131137\pi\) | ||||
−0.999151 | + | 0.0411864i | \(0.986886\pi\) | |||||||
\(140\) | −0.122068 | + | 0.797650i | −0.0103166 | + | 0.0674138i | ||||
\(141\) | −1.66984 | + | 1.07314i | −0.140625 | + | 0.0903745i | ||||
\(142\) | −2.25714 | + | 3.01519i | −0.189415 | + | 0.253029i | ||||
\(143\) | 1.61048 | − | 4.31786i | 0.134675 | − | 0.361078i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | 21.3590 | − | 1.33331i | 1.77377 | − | 0.110726i | ||||
\(146\) | 13.5960 | + | 8.73760i | 1.12521 | + | 0.723129i | ||||
\(147\) | 6.43663 | − | 2.40074i | 0.530884 | − | 0.198010i | ||||
\(148\) | 4.25586 | + | 7.79403i | 0.349830 | + | 0.640665i | ||||
\(149\) | −9.21404 | − | 10.6336i | −0.754844 | − | 0.871136i | 0.240185 | − | 0.970727i | \(-0.422792\pi\) |
−0.995028 | + | 0.0995909i | \(0.968247\pi\) | |||||||
\(150\) | −1.32154 | − | 4.82219i | −0.107903 | − | 0.393730i | ||||
\(151\) | 13.6711 | + | 4.01420i | 1.11254 | + | 0.326671i | 0.785823 | − | 0.618451i | \(-0.212240\pi\) |
0.326717 | + | 0.945122i | \(0.394058\pi\) | |||||||
\(152\) | −2.18952 | − | 5.87032i | −0.177593 | − | 0.476146i | ||||
\(153\) | −0.0980337 | − | 0.450654i | −0.00792555 | − | 0.0364332i | ||||
\(154\) | −0.585973 | − | 1.99564i | −0.0472191 | − | 0.160813i | ||||
\(155\) | −3.26510 | − | 1.25162i | −0.262259 | − | 0.100533i | ||||
\(156\) | −0.332161 | − | 0.727331i | −0.0265941 | − | 0.0582331i | ||||
\(157\) | −15.8500 | − | 11.8652i | −1.26497 | − | 0.946946i | −0.265120 | − | 0.964215i | \(-0.585412\pi\) |
−0.999851 | + | 0.0172697i | \(0.994503\pi\) | |||||||
\(158\) | 3.52870 | + | 0.767621i | 0.280728 | + | 0.0610687i | ||||
\(159\) | −1.16108 | + | 1.33996i | −0.0920799 | + | 0.106266i | ||||
\(160\) | −1.89197 | + | 1.19182i | −0.149573 | + | 0.0942219i | ||||
\(161\) | −0.965730 | − | 1.43619i | −0.0761102 | − | 0.113188i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | 1.36794 | + | 19.1263i | 0.107145 | + | 1.49808i | 0.712243 | + | 0.701933i | \(0.247680\pi\) |
−0.605097 | + | 0.796151i | \(0.706866\pi\) | |||||||
\(164\) | −2.17817 | − | 3.38930i | −0.170086 | − | 0.264659i | ||||
\(165\) | 8.35101 | + | 9.81582i | 0.650125 | + | 0.764160i | ||||
\(166\) | −0.697868 | + | 0.318706i | −0.0541651 | + | 0.0247364i | ||||
\(167\) | 2.59250 | − | 1.94072i | 0.200614 | − | 0.150177i | −0.494248 | − | 0.869321i | \(-0.664557\pi\) |
0.694862 | + | 0.719144i | \(0.255466\pi\) | |||||||
\(168\) | −0.316731 | − | 0.172948i | −0.0244363 | − | 0.0133432i | ||||
\(169\) | −6.68268 | + | 10.3984i | −0.514052 | + | 0.799881i | ||||
\(170\) | −0.819935 | − | 0.625462i | −0.0628861 | − | 0.0479708i | ||||
\(171\) | −1.76515 | + | 6.01156i | −0.134985 | + | 0.459716i | ||||
\(172\) | 7.18373 | + | 0.513791i | 0.547755 | + | 0.0391762i | ||||
\(173\) | 5.01029 | + | 0.358343i | 0.380925 | + | 0.0272443i | 0.260489 | − | 0.965477i | \(-0.416116\pi\) |
0.120436 | + | 0.992721i | \(0.461571\pi\) | |||||||
\(174\) | −2.69636 | + | 9.18296i | −0.204411 | + | 0.696159i | ||||
\(175\) | 0.161300 | − | 1.79714i | 0.0121931 | − | 0.135851i | ||||
\(176\) | 3.11598 | − | 4.84857i | 0.234876 | − | 0.365474i | ||||
\(177\) | 12.5849 | + | 6.87189i | 0.945941 | + | 0.516523i | ||||
\(178\) | −3.48013 | + | 2.60520i | −0.260847 | + | 0.195268i | ||||
\(179\) | −21.3868 | + | 9.76701i | −1.59852 | + | 0.730020i | −0.997597 | − | 0.0692850i | \(-0.977928\pi\) |
−0.600925 | + | 0.799305i | \(0.705201\pi\) | |||||||
\(180\) | 2.22883 | + | 0.179713i | 0.166128 | + | 0.0133950i | ||||
\(181\) | 2.81747 | + | 4.38407i | 0.209421 | + | 0.325865i | 0.930035 | − | 0.367471i | \(-0.119776\pi\) |
−0.720614 | + | 0.693336i | \(0.756140\pi\) | |||||||
\(182\) | −0.0205849 | − | 0.287814i | −0.00152585 | − | 0.0213342i | ||||
\(183\) | 5.55875 | + | 5.55875i | 0.410915 | + | 0.410915i | ||||
\(184\) | 1.25524 | − | 4.62865i | 0.0925372 | − | 0.341228i | ||||
\(185\) | −10.5837 | − | 16.8012i | −0.778130 | − | 1.23525i | ||||
\(186\) | 1.02408 | − | 1.18185i | 0.0750888 | − | 0.0866571i | ||||
\(187\) | 2.59734 | + | 0.565017i | 0.189936 | + | 0.0413181i | ||||
\(188\) | −1.58902 | − | 1.18953i | −0.115891 | − | 0.0867553i | ||||
\(189\) | 0.149912 | + | 0.328262i | 0.0109045 | + | 0.0238775i | ||||
\(190\) | 5.70421 | + | 12.7959i | 0.413827 | + | 0.928313i | ||||
\(191\) | 5.16909 | + | 17.6043i | 0.374022 | + | 1.27380i | 0.904635 | + | 0.426188i | \(0.140144\pi\) |
−0.530613 | + | 0.847614i | \(0.678038\pi\) | |||||||
\(192\) | −0.212565 | − | 0.977147i | −0.0153406 | − | 0.0705195i | ||||
\(193\) | −1.53559 | − | 4.11709i | −0.110535 | − | 0.296354i | 0.869891 | − | 0.493244i | \(-0.164189\pi\) |
−0.980426 | + | 0.196889i | \(0.936916\pi\) | |||||||
\(194\) | −0.924349 | − | 0.271413i | −0.0663644 | − | 0.0194863i | ||||
\(195\) | 0.842618 | + | 1.57693i | 0.0603411 | + | 0.112926i | ||||
\(196\) | 4.49874 | + | 5.19183i | 0.321339 | + | 0.370845i | ||||
\(197\) | −5.31109 | − | 9.72653i | −0.378399 | − | 0.692986i | 0.617189 | − | 0.786815i | \(-0.288271\pi\) |
−0.995588 | + | 0.0938284i | \(0.970090\pi\) | |||||||
\(198\) | −5.40011 | + | 2.01414i | −0.383769 | + | 0.143138i | ||||
\(199\) | −4.15496 | − | 2.67023i | −0.294537 | − | 0.189287i | 0.385024 | − | 0.922907i | \(-0.374193\pi\) |
−0.679561 | + | 0.733619i | \(0.737830\pi\) | |||||||
\(200\) | 4.05632 | − | 2.92340i | 0.286825 | − | 0.206715i | ||||
\(201\) | −11.6925 | − | 1.68112i | −0.824723 | − | 0.118577i | ||||
\(202\) | −0.0984471 | + | 0.263947i | −0.00692671 | + | 0.0185712i | ||||
\(203\) | −2.06978 | + | 2.76490i | −0.145270 | + | 0.194058i | ||||
\(204\) | 0.387980 | − | 0.249340i | 0.0271641 | − | 0.0174573i | ||||
\(205\) | 5.33324 | + | 7.26052i | 0.372490 | + | 0.507097i | ||||
\(206\) | − | 1.03382i | − | 0.0720298i | ||||||
\(207\) | −3.77871 | + | 2.95319i | −0.262639 | + | 0.205261i | ||||
\(208\) | 0.565394 | − | 0.565394i | 0.0392030 | − | 0.0392030i | ||||
\(209\) | −27.2904 | − | 23.6473i | −1.88772 | − | 1.63572i | ||||
\(210\) | 0.730949 | + | 0.341848i | 0.0504403 | + | 0.0235897i | ||||
\(211\) | −2.57004 | − | 17.8750i | −0.176929 | − | 1.23057i | −0.863818 | − | 0.503804i | \(-0.831933\pi\) |
0.686889 | − | 0.726762i | \(-0.258976\pi\) | |||||||
\(212\) | −1.66123 | − | 0.619608i | −0.114094 | − | 0.0425549i | ||||
\(213\) | 2.25714 | + | 3.01519i | 0.154657 | + | 0.206598i | ||||
\(214\) | 16.5784 | − | 4.86786i | 1.13328 | − | 0.332760i | ||||
\(215\) | −16.1037 | − | 0.145853i | −1.09826 | − | 0.00994711i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 0.495305 | − | 0.270457i | 0.0336235 | − | 0.0183598i | ||||
\(218\) | −0.138966 | + | 1.94300i | −0.00941196 | + | 0.131596i | ||||
\(219\) | 12.2141 | − | 10.5836i | 0.825352 | − | 0.715172i | ||||
\(220\) | −6.27855 | + | 11.2548i | −0.423300 | + | 0.758795i | ||||
\(221\) | 0.335440 | + | 0.153190i | 0.0225641 | + | 0.0103047i | ||||
\(222\) | 8.67733 | − | 1.88764i | 0.582384 | − | 0.126690i | ||||
\(223\) | −13.6499 | + | 24.9980i | −0.914067 | + | 1.67399i | −0.192910 | + | 0.981216i | \(0.561793\pi\) |
−0.721157 | + | 0.692772i | \(0.756389\pi\) | |||||||
\(224\) | 0.0513576 | − | 0.357200i | 0.00343147 | − | 0.0238664i | ||||
\(225\) | −4.99918 | − | 0.0905640i | −0.333279 | − | 0.00603760i | ||||
\(226\) | 3.94433 | − | 0.567110i | 0.262373 | − | 0.0377236i | ||||
\(227\) | 2.27802 | − | 10.4719i | 0.151197 | − | 0.695043i | −0.837662 | − | 0.546189i | \(-0.816078\pi\) |
0.988859 | − | 0.148854i | \(-0.0475584\pi\) | |||||||
\(228\) | −6.24939 | + | 0.446965i | −0.413876 | + | 0.0296010i | ||||
\(229\) | 15.3433 | 1.01391 | 0.506956 | − | 0.861972i | \(-0.330771\pi\) | ||||
0.506956 | + | 0.861972i | \(0.330771\pi\) | |||||||
\(230\) | −2.15651 | + | 10.5047i | −0.142196 | + | 0.692662i | ||||
\(231\) | −2.07989 | −0.136847 | ||||||||
\(232\) | −9.54626 | + | 0.682762i | −0.626743 | + | 0.0448255i | ||||
\(233\) | −2.61533 | + | 12.0225i | −0.171336 | + | 0.787618i | 0.808609 | + | 0.588347i | \(0.200221\pi\) |
−0.979944 | + | 0.199271i | \(0.936143\pi\) | |||||||
\(234\) | −0.791449 | + | 0.113793i | −0.0517386 | + | 0.00743889i | ||||
\(235\) | 3.71198 | + | 2.43333i | 0.242143 | + | 0.158733i | ||||
\(236\) | −2.04063 | + | 14.1929i | −0.132834 | + | 0.923881i | ||||
\(237\) | 1.73068 | − | 3.16950i | 0.112419 | − | 0.205881i | ||||
\(238\) | 0.162629 | − | 0.0353777i | 0.0105417 | − | 0.00229320i | ||||
\(239\) | −0.814929 | − | 0.372166i | −0.0527134 | − | 0.0240734i | 0.388884 | − | 0.921287i | \(-0.372861\pi\) |
−0.441597 | + | 0.897213i | \(0.645588\pi\) | |||||||
\(240\) | 0.610516 | + | 2.15111i | 0.0394086 | + | 0.138853i | ||||
\(241\) | 9.47083 | − | 8.20652i | 0.610070 | − | 0.528629i | −0.294115 | − | 0.955770i | \(-0.595025\pi\) |
0.904185 | + | 0.427141i | \(0.140479\pi\) | |||||||
\(242\) | 1.58501 | − | 22.1613i | 0.101888 | − | 1.42458i | ||||
\(243\) | 0.877679 | − | 0.479249i | 0.0563031 | − | 0.0307438i | ||||
\(244\) | −3.26569 | + | 7.15086i | −0.209064 | + | 0.457787i | ||||
\(245\) | −10.7632 | − | 10.9600i | −0.687638 | − | 0.700208i | ||||
\(246\) | −3.86567 | + | 1.13506i | −0.246466 | + | 0.0723689i | ||||
\(247\) | −3.00220 | − | 4.01047i | −0.191025 | − | 0.255180i | ||||
\(248\) | 1.46521 | + | 0.546494i | 0.0930408 | + | 0.0347024i | ||||
\(249\) | 0.109184 | + | 0.759390i | 0.00691924 | + | 0.0481244i | ||||
\(250\) | −8.64533 | + | 7.08931i | −0.546778 | + | 0.448367i | ||||
\(251\) | −14.1724 | − | 12.2804i | −0.894553 | − | 0.775135i | 0.0805816 | − | 0.996748i | \(-0.474322\pi\) |
−0.975135 | + | 0.221613i | \(0.928868\pi\) | |||||||
\(252\) | −0.255176 | + | 0.255176i | −0.0160746 | + | 0.0160746i | ||||
\(253\) | −6.43541 | − | 26.8812i | −0.404591 | − | 1.69001i | ||||
\(254\) | 13.0306i | 0.817610i | ||||||||
\(255\) | −0.831129 | + | 0.610508i | −0.0520473 | + | 0.0382315i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −7.99838 | + | 10.6846i | −0.498925 | + | 0.666486i | −0.977347 | − | 0.211644i | \(-0.932118\pi\) |
0.478421 | + | 0.878130i | \(0.341209\pi\) | |||||||
\(258\) | 2.51687 | − | 6.74799i | 0.156693 | − | 0.420112i | ||||
\(259\) | 3.17203 | + | 0.456069i | 0.197100 | + | 0.0283388i | ||||
\(260\) | −1.18304 | + | 1.34057i | −0.0733688 | + | 0.0831386i | ||||
\(261\) | 8.05134 | + | 5.17428i | 0.498365 | + | 0.320280i | ||||
\(262\) | −11.0142 | + | 4.10808i | −0.680459 | + | 0.253798i | ||||
\(263\) | 11.8502 | + | 21.7021i | 0.730716 | + | 1.33821i | 0.933355 | + | 0.358954i | \(0.116866\pi\) |
−0.202639 | + | 0.979253i | \(0.564952\pi\) | |||||||
\(264\) | −3.77429 | − | 4.35576i | −0.232292 | − | 0.268079i | ||||
\(265\) | 3.79374 | + | 1.15136i | 0.233047 | + | 0.0707277i | ||||
\(266\) | −2.16941 | − | 0.636996i | −0.133015 | − | 0.0390568i | ||||
\(267\) | 1.51920 | + | 4.07313i | 0.0929735 | + | 0.249272i | ||||
\(268\) | −2.51097 | − | 11.5427i | −0.153382 | − | 0.705086i | ||||
\(269\) | 6.17359 | + | 21.0253i | 0.376410 | + | 1.28194i | 0.902199 | + | 0.431320i | \(0.141952\pi\) |
−0.525789 | + | 0.850615i | \(0.676230\pi\) | |||||||
\(270\) | 0.800368 | − | 2.08792i | 0.0487089 | − | 0.127067i | ||||
\(271\) | −10.1843 | − | 22.3005i | −0.618652 | − | 1.35466i | −0.916496 | − | 0.400045i | \(-0.868995\pi\) |
0.297843 | − | 0.954615i | \(-0.403733\pi\) | |||||||
\(272\) | 0.369204 | + | 0.276383i | 0.0223863 | + | 0.0167582i | ||||
\(273\) | −0.281955 | − | 0.0613356i | −0.0170647 | − | 0.00371220i | ||||
\(274\) | 6.78470 | − | 7.82996i | 0.409878 | − | 0.473025i | ||||
\(275\) | 12.4441 | − | 25.9922i | 0.750405 | − | 1.56739i | ||||
\(276\) | −4.08751 | − | 2.50843i | −0.246039 | − | 0.150990i | ||||
\(277\) | 8.22454 | + | 8.22454i | 0.494165 | + | 0.494165i | 0.909616 | − | 0.415451i | \(-0.136376\pi\) |
−0.415451 | + | 0.909616i | \(0.636376\pi\) | |||||||
\(278\) | 0.0692817 | + | 0.968685i | 0.00415524 | + | 0.0580979i | ||||
\(279\) | −0.845457 | − | 1.31556i | −0.0506162 | − | 0.0787604i | ||||
\(280\) | −0.0648534 | + | 0.804326i | −0.00387573 | + | 0.0480677i | ||||
\(281\) | 13.1859 | − | 6.02180i | 0.786605 | − | 0.359230i | 0.0187252 | − | 0.999825i | \(-0.494039\pi\) |
0.767879 | + | 0.640594i | \(0.221312\pi\) | |||||||
\(282\) | −1.58902 | + | 1.18953i | −0.0946250 | + | 0.0708354i | ||||
\(283\) | 6.02193 | + | 3.28822i | 0.357966 | + | 0.195464i | 0.648161 | − | 0.761503i | \(-0.275538\pi\) |
−0.290195 | + | 0.956968i | \(0.593720\pi\) | |||||||
\(284\) | −2.03629 | + | 3.16853i | −0.120832 | + | 0.188018i | ||||
\(285\) | 13.8846 | − | 1.86812i | 0.822455 | − | 0.110658i | ||||
\(286\) | 1.29834 | − | 4.42175i | 0.0767726 | − | 0.261464i | ||||
\(287\) | −1.45020 | − | 0.103721i | −0.0856028 | − | 0.00612243i | ||||
\(288\) | −0.997452 | − | 0.0713392i | −0.0587754 | − | 0.00420370i | ||||
\(289\) | 4.72953 | − | 16.1073i | 0.278208 | − | 0.947488i | ||||
\(290\) | 21.2095 | − | 2.85365i | 1.24546 | − | 0.167572i | ||||
\(291\) | −0.520838 | + | 0.810440i | −0.0305321 | + | 0.0475088i | ||||
\(292\) | 14.1847 | + | 7.74541i | 0.830095 | + | 0.453266i | ||||
\(293\) | 14.7363 | − | 11.0314i | 0.860903 | − | 0.644464i | −0.0748210 | − | 0.997197i | \(-0.523839\pi\) |
0.935724 | + | 0.352733i | \(0.114748\pi\) | |||||||
\(294\) | 6.24896 | − | 2.85381i | 0.364447 | − | 0.166437i | ||||
\(295\) | 2.57688 | − | 31.9590i | 0.150032 | − | 1.86072i | ||||
\(296\) | 4.80104 | + | 7.47056i | 0.279055 | + | 0.434218i | ||||
\(297\) | 0.411163 | + | 5.74882i | 0.0238581 | + | 0.333580i | ||||
\(298\) | −9.94916 | − | 9.94916i | −0.576339 | − | 0.576339i | ||||
\(299\) | −0.0796797 | − | 3.83386i | −0.00460799 | − | 0.221718i | ||||
\(300\) | −1.66218 | − | 4.71563i | −0.0959660 | − | 0.272257i | ||||
\(301\) | 1.70201 | − | 1.96422i | 0.0981021 | − | 0.113216i | ||||
\(302\) | 13.9227 | + | 3.02869i | 0.801159 | + | 0.174281i | ||||
\(303\) | 0.225519 | + | 0.168822i | 0.0129558 | + | 0.00969856i | ||||
\(304\) | −2.60272 | − | 5.69917i | −0.149276 | − | 0.326870i | ||||
\(305\) | 6.29191 | − | 16.4137i | 0.360274 | − | 0.939845i | ||||
\(306\) | −0.129933 | − | 0.442512i | −0.00742778 | − | 0.0252967i | ||||
\(307\) | 4.79327 | + | 22.0343i | 0.273567 | + | 1.25757i | 0.884746 | + | 0.466073i | \(0.154332\pi\) |
−0.611180 | + | 0.791492i | \(0.709305\pi\) | |||||||
\(308\) | −0.726848 | − | 1.94875i | −0.0414160 | − | 0.111041i | ||||
\(309\) | −0.991945 | − | 0.291261i | −0.0564298 | − | 0.0165693i | ||||
\(310\) | −3.34607 | − | 1.01550i | −0.190044 | − | 0.0576766i | ||||
\(311\) | −7.29352 | − | 8.41717i | −0.413578 | − | 0.477294i | 0.510292 | − | 0.860001i | \(-0.329537\pi\) |
−0.923870 | + | 0.382707i | \(0.874992\pi\) | |||||||
\(312\) | −0.383202 | − | 0.701781i | −0.0216945 | − | 0.0397305i | ||||
\(313\) | 18.8268 | − | 7.02202i | 1.06415 | − | 0.396908i | 0.244428 | − | 0.969668i | \(-0.421400\pi\) |
0.819723 | + | 0.572760i | \(0.194127\pi\) | |||||||
\(314\) | −16.6561 | − | 10.7042i | −0.939959 | − | 0.604075i | ||||
\(315\) | 0.533933 | − | 0.605031i | 0.0300837 | − | 0.0340896i | ||||
\(316\) | 3.57447 | + | 0.513931i | 0.201080 | + | 0.0289109i | ||||
\(317\) | 4.13014 | − | 11.0733i | 0.231972 | − | 0.621941i | −0.767853 | − | 0.640626i | \(-0.778675\pi\) |
0.999825 | + | 0.0186846i | \(0.00594785\pi\) | |||||||
\(318\) | −1.06253 | + | 1.41938i | −0.0595839 | + | 0.0795948i | ||||
\(319\) | −46.4039 | + | 29.8220i | −2.59812 | + | 1.66971i | ||||
\(320\) | −1.80213 | + | 1.32376i | −0.100742 | + | 0.0740003i | ||||
\(321\) | − | 17.2783i | − | 0.964381i | ||||||
\(322\) | −1.06573 | − | 1.36364i | −0.0593906 | − | 0.0759924i | ||||
\(323\) | 2.04321 | − | 2.04321i | 0.113687 | − | 0.113687i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 2.45345 | − | 3.15659i | 0.136093 | − | 0.175096i | ||||
\(326\) | 2.72890 | + | 18.9799i | 0.151140 | + | 1.05120i | ||||
\(327\) | 1.82514 | + | 0.680742i | 0.100931 | + | 0.0376451i | ||||
\(328\) | −2.41441 | − | 3.22527i | −0.133313 | − | 0.178086i | ||||
\(329\) | −0.687294 | + | 0.201808i | −0.0378918 | + | 0.0111260i | ||||
\(330\) | 9.02999 | + | 9.19505i | 0.497084 | + | 0.506171i | ||||
\(331\) | 3.11744 | − | 6.82625i | 0.171350 | − | 0.375204i | −0.804401 | − | 0.594086i | \(-0.797514\pi\) |
0.975751 | + | 0.218882i | \(0.0702410\pi\) | |||||||
\(332\) | −0.673354 | + | 0.367679i | −0.0369551 | + | 0.0201790i | ||||
\(333\) | 0.633511 | − | 8.85765i | 0.0347162 | − | 0.485396i | ||||
\(334\) | 2.44744 | − | 2.12072i | 0.133918 | − | 0.116041i | ||||
\(335\) | 7.21185 | + | 25.4104i | 0.394025 | + | 1.38832i | ||||
\(336\) | −0.328262 | − | 0.149912i | −0.0179081 | − | 0.00817837i | ||||
\(337\) | −20.7329 | + | 4.51016i | −1.12939 | + | 0.245684i | −0.738171 | − | 0.674613i | \(-0.764310\pi\) |
−0.391220 | + | 0.920297i | \(0.627947\pi\) | |||||||
\(338\) | −5.92383 | + | 10.8487i | −0.322214 | + | 0.590091i | ||||
\(339\) | 0.567110 | − | 3.94433i | 0.0308012 | − | 0.214227i | ||||
\(340\) | −0.862466 | − | 0.565375i | −0.0467738 | − | 0.0306618i | ||||
\(341\) | 8.92126 | − | 1.28268i | 0.483113 | − | 0.0694612i | ||||
\(342\) | −1.33180 | + | 6.12217i | −0.0720153 | + | 0.331049i | ||||
\(343\) | 4.99247 | − | 0.357069i | 0.269568 | − | 0.0192799i | ||||
\(344\) | 7.20208 | 0.388310 | ||||||||
\(345\) | 9.47166 | + | 5.02868i | 0.509937 | + | 0.270735i | ||||
\(346\) | 5.02309 | 0.270043 | ||||||||
\(347\) | 34.0635 | − | 2.43627i | 1.82863 | − | 0.130786i | 0.885799 | − | 0.464069i | \(-0.153611\pi\) |
0.942827 | + | 0.333283i | \(0.108156\pi\) | |||||||
\(348\) | −2.03439 | + | 9.35192i | −0.109055 | + | 0.501316i | ||||
\(349\) | −18.9904 | + | 2.73040i | −1.01653 | + | 0.146155i | −0.630385 | − | 0.776282i | \(-0.717103\pi\) |
−0.386146 | + | 0.922437i | \(0.626194\pi\) | |||||||
\(350\) | 0.0326821 | − | 1.80407i | 0.00174693 | − | 0.0964315i | ||||
\(351\) | −0.113793 | + | 0.791449i | −0.00607383 | + | 0.0422444i | ||||
\(352\) | 2.76215 | − | 5.05850i | 0.147223 | − | 0.269619i | ||||
\(353\) | −11.9237 | + | 2.59384i | −0.634635 | + | 0.138056i | −0.518362 | − | 0.855161i | \(-0.673458\pi\) |
−0.116272 | + | 0.993217i | \(0.537095\pi\) | |||||||
\(354\) | 13.0431 | + | 5.95658i | 0.693233 | + | 0.316589i | ||||
\(355\) | 4.10303 | − | 7.35497i | 0.217766 | − | 0.390361i | ||||
\(356\) | −3.28542 | + | 2.84683i | −0.174127 | + | 0.150882i | ||||
\(357\) | 0.0118731 | − | 0.166008i | 0.000628393 | − | 0.00878608i | ||||
\(358\) | −20.6355 | + | 11.2678i | −1.09062 | + | 0.595524i | ||||
\(359\) | 9.74579 | − | 21.3403i | 0.514363 | − | 1.12630i | −0.457167 | − | 0.889381i | \(-0.651136\pi\) |
0.971530 | − | 0.236917i | \(-0.0761370\pi\) | |||||||
\(360\) | 2.23598 | + | 0.0202515i | 0.117846 | + | 0.00106735i | ||||
\(361\) | −19.4342 | + | 5.70639i | −1.02285 | + | 0.300337i | ||||
\(362\) | 3.12305 | + | 4.17190i | 0.164144 | + | 0.219270i | ||||
\(363\) | −20.8171 | − | 7.76437i | −1.09261 | − | 0.407524i | ||||
\(364\) | −0.0410649 | − | 0.285613i | −0.00215239 | − | 0.0149702i | ||||
\(365\) | −32.7353 | − | 15.3095i | −1.71344 | − | 0.801337i | ||||
\(366\) | 5.94115 | + | 5.14803i | 0.310549 | + | 0.269092i | ||||
\(367\) | 0.783118 | − | 0.783118i | 0.0408784 | − | 0.0408784i | −0.686372 | − | 0.727251i | \(-0.740798\pi\) |
0.727251 | + | 0.686372i | \(0.240798\pi\) | |||||||
\(368\) | 0.921834 | − | 4.70640i | 0.0480539 | − | 0.245338i | ||||
\(369\) | 4.02886i | 0.209734i | ||||||||
\(370\) | −11.7553 | − | 16.0034i | −0.611131 | − | 0.831976i | ||||
\(371\) | −0.538265 | + | 0.345922i | −0.0279453 | + | 0.0179594i | ||||
\(372\) | 0.937154 | − | 1.25189i | 0.0485892 | − | 0.0649075i | ||||
\(373\) | 2.78539 | − | 7.46791i | 0.144222 | − | 0.386674i | −0.844675 | − | 0.535280i | \(-0.820206\pi\) |
0.988896 | + | 0.148606i | \(0.0474788\pi\) | |||||||
\(374\) | 2.63103 | + | 0.378285i | 0.136047 | + | 0.0195607i | ||||
\(375\) | 4.36648 | + | 10.2924i | 0.225484 | + | 0.531498i | ||||
\(376\) | −1.66984 | − | 1.07314i | −0.0861152 | − | 0.0553429i | ||||
\(377\) | −7.17007 | + | 2.67430i | −0.369277 | + | 0.137733i | ||||
\(378\) | 0.172948 | + | 0.316731i | 0.00889549 | + | 0.0162909i | ||||
\(379\) | 5.98350 | + | 6.90533i | 0.307352 | + | 0.354703i | 0.888321 | − | 0.459223i | \(-0.151872\pi\) |
−0.580970 | + | 0.813925i | \(0.697326\pi\) | |||||||
\(380\) | 6.60252 | + | 12.3564i | 0.338702 | + | 0.633869i | ||||
\(381\) | 12.5027 | + | 3.67113i | 0.640535 | + | 0.188078i | ||||
\(382\) | 6.41179 | + | 17.1907i | 0.328056 | + | 0.879552i | ||||
\(383\) | 6.19095 | + | 28.4593i | 0.316343 | + | 1.45420i | 0.810964 | + | 0.585096i | \(0.198943\pi\) |
−0.494621 | + | 0.869109i | \(0.664693\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | 1.89361 | + | 4.24782i | 0.0965073 | + | 0.216489i | ||||
\(386\) | −1.82539 | − | 3.99705i | −0.0929100 | − | 0.203444i | ||||
\(387\) | −5.76556 | − | 4.31605i | −0.293080 | − | 0.219397i | ||||
\(388\) | −0.941356 | − | 0.204779i | −0.0477901 | − | 0.0103961i | ||||
\(389\) | 8.80964 | − | 10.1669i | 0.446666 | − | 0.515480i | −0.487109 | − | 0.873341i | \(-0.661948\pi\) |
0.933775 | + | 0.357861i | \(0.116494\pi\) | |||||||
\(390\) | 0.952967 | + | 1.51280i | 0.0482554 | + | 0.0766035i | ||||
\(391\) | 2.18228 | − | 0.360195i | 0.110363 | − | 0.0182159i | ||||
\(392\) | 4.85766 | + | 4.85766i | 0.245349 | + | 0.245349i | ||||
\(393\) | 0.838619 | + | 11.7254i | 0.0423027 | + | 0.591469i | ||||
\(394\) | −5.99144 | − | 9.32286i | −0.301844 | − | 0.469679i | ||||
\(395\) | −8.04882 | − | 0.648983i | −0.404980 | − | 0.0326539i | ||||
\(396\) | −5.24266 | + | 2.39424i | −0.263454 | + | 0.120315i | ||||
\(397\) | 24.7711 | − | 18.5434i | 1.24322 | − | 0.930666i | 0.243990 | − | 0.969778i | \(-0.421544\pi\) |
0.999235 | + | 0.0391115i | \(0.0124528\pi\) | |||||||
\(398\) | −4.33486 | − | 2.36701i | −0.217287 | − | 0.118648i | ||||
\(399\) | −1.22239 | + | 1.90207i | −0.0611959 | + | 0.0952227i | ||||
\(400\) | 3.83743 | − | 3.20532i | 0.191872 | − | 0.160266i | ||||
\(401\) | −4.94425 | + | 16.8386i | −0.246904 | + | 0.840877i | 0.739020 | + | 0.673683i | \(0.235289\pi\) |
−0.985924 | + | 0.167194i | \(0.946529\pi\) | |||||||
\(402\) | −11.7826 | − | 0.842709i | −0.587663 | − | 0.0420305i | ||||
\(403\) | 1.24721 | + | 0.0892025i | 0.0621282 | + | 0.00444349i | ||||
\(404\) | −0.0793665 | + | 0.270298i | −0.00394863 | + | 0.0134478i | ||||
\(405\) | −1.77785 | − | 1.35618i | −0.0883423 | − | 0.0673893i | ||||
\(406\) | −1.86726 | + | 2.90551i | −0.0926705 | + | 0.144198i | ||||
\(407\) | 44.9209 | + | 24.5287i | 2.22665 | + | 1.21584i | ||||
\(408\) | 0.369204 | − | 0.276383i | 0.0182783 | − | 0.0136830i | ||||
\(409\) | −12.0424 | + | 5.49957i | −0.595457 | + | 0.271936i | −0.690262 | − | 0.723560i | \(-0.742505\pi\) |
0.0948045 | + | 0.995496i | \(0.469777\pi\) | |||||||
\(410\) | 5.83761 | + | 6.86156i | 0.288299 | + | 0.338868i | ||||
\(411\) | −5.60132 | − | 8.71582i | −0.276293 | − | 0.429920i | ||||
\(412\) | −0.0737520 | − | 1.03119i | −0.00363350 | − | 0.0508030i | ||||
\(413\) | 3.65893 | + | 3.65893i | 0.180044 | + | 0.180044i | ||||
\(414\) | −3.55841 | + | 3.21523i | −0.174886 | + | 0.158020i | ||||
\(415\) | 1.45152 | − | 0.914365i | 0.0712522 | − | 0.0448844i | ||||
\(416\) | 0.523619 | − | 0.604288i | 0.0256725 | − | 0.0296277i | ||||
\(417\) | 0.948966 | + | 0.206435i | 0.0464711 | + | 0.0101092i | ||||
\(418\) | −28.9078 | − | 21.6401i | −1.41393 | − | 1.05845i | ||||
\(419\) | −6.49538 | − | 14.2229i | −0.317320 | − | 0.694834i | 0.682013 | − | 0.731340i | \(-0.261105\pi\) |
−0.999333 | + | 0.0365056i | \(0.988377\pi\) | |||||||
\(420\) | 0.753474 | + | 0.288831i | 0.0367658 | + | 0.0140935i | ||||
\(421\) | −9.21735 | − | 31.3914i | −0.449226 | − | 1.52992i | −0.803803 | − | 0.594896i | \(-0.797193\pi\) |
0.354577 | − | 0.935027i | \(-0.384625\pi\) | |||||||
\(422\) | −3.83868 | − | 17.6461i | −0.186864 | − | 0.859000i | ||||
\(423\) | 0.693664 | + | 1.85979i | 0.0337271 | + | 0.0904259i | ||||
\(424\) | −1.70120 | − | 0.499519i | −0.0826178 | − | 0.0242588i | ||||
\(425\) | 2.00355 | + | 1.14161i | 0.0971864 | + | 0.0553762i | ||||
\(426\) | 2.46650 | + | 2.84649i | 0.119502 | + | 0.137913i | ||||
\(427\) | 1.35959 | + | 2.48990i | 0.0657952 | + | 0.120495i | ||||
\(428\) | 16.1889 | − | 6.03815i | 0.782520 | − | 0.291865i | ||||
\(429\) | −3.87685 | − | 2.49150i | −0.187176 | − | 0.120291i | ||||
\(430\) | −16.0731 | + | 1.00334i | −0.775112 | + | 0.0483855i | ||||
\(431\) | 7.02890 | + | 1.01060i | 0.338570 | + | 0.0486790i | 0.309503 | − | 0.950898i | \(-0.399837\pi\) |
0.0290670 | + | 0.999577i | \(0.490746\pi\) | |||||||
\(432\) | −0.349464 | + | 0.936950i | −0.0168136 | + | 0.0450790i | ||||
\(433\) | 12.9175 | − | 17.2557i | 0.620775 | − | 0.829258i | −0.374411 | − | 0.927263i | \(-0.622155\pi\) |
0.995186 | + | 0.0980046i | \(0.0312460\pi\) | |||||||
\(434\) | 0.474749 | − | 0.305103i | 0.0227887 | − | 0.0146454i | ||||
\(435\) | 3.23735 | − | 21.1543i | 0.155219 | − | 1.01427i | ||||
\(436\) | 1.94796i | 0.0932904i | ||||||||
\(437\) | −28.3652 | − | 9.91330i | −1.35689 | − | 0.474218i | ||||
\(438\) | 11.4280 | − | 11.4280i | 0.546049 | − | 0.546049i | ||||
\(439\) | 16.3594 | + | 14.1755i | 0.780794 | + | 0.676561i | 0.951118 | − | 0.308827i | \(-0.0999363\pi\) |
−0.170325 | + | 0.985388i | \(0.554482\pi\) | |||||||
\(440\) | −5.45965 | + | 11.6740i | −0.260278 | + | 0.556535i | ||||
\(441\) | −0.977670 | − | 6.79985i | −0.0465557 | − | 0.323802i | ||||
\(442\) | 0.345514 | + | 0.128870i | 0.0164344 | + | 0.00612972i | ||||
\(443\) | −11.8413 | − | 15.8181i | −0.562597 | − | 0.751541i | 0.425570 | − | 0.904926i | \(-0.360074\pi\) |
−0.988167 | + | 0.153384i | \(0.950983\pi\) | |||||||
\(444\) | 8.52056 | − | 2.50186i | 0.404368 | − | 0.118733i | ||||
\(445\) | 6.93554 | − | 6.81104i | 0.328776 | − | 0.322874i | ||||
\(446\) | −11.8318 | + | 25.9081i | −0.560253 | + | 1.22678i | ||||
\(447\) | −12.3492 | + | 6.74315i | −0.584095 | + | 0.318940i | ||||
\(448\) | 0.0257444 | − | 0.359954i | 0.00121631 | − | 0.0170062i | ||||
\(449\) | 18.6316 | − | 16.1444i | 0.879279 | − | 0.761899i | −0.0930142 | − | 0.995665i | \(-0.529650\pi\) |
0.972293 | + | 0.233765i | \(0.0751047\pi\) | |||||||
\(450\) | −4.99290 | + | 0.266304i | −0.235368 | + | 0.0125537i | ||||
\(451\) | −21.1220 | − | 9.64608i | −0.994595 | − | 0.454216i | ||||
\(452\) | 3.89383 | − | 0.847050i | 0.183150 | − | 0.0398419i | ||||
\(453\) | 6.82847 | − | 12.5054i | 0.320830 | − | 0.587555i | ||||
\(454\) | 1.52516 | − | 10.6077i | 0.0715793 | − | 0.497845i | ||||
\(455\) | 0.131435 | + | 0.631688i | 0.00616177 | + | 0.0296140i | ||||
\(456\) | −6.20158 | + | 0.891653i | −0.290416 | + | 0.0417555i | ||||
\(457\) | −3.93623 | + | 18.0946i | −0.184129 | + | 0.846428i | 0.788677 | + | 0.614808i | \(0.210766\pi\) |
−0.972806 | + | 0.231620i | \(0.925597\pi\) | |||||||
\(458\) | 15.3042 | − | 1.09458i | 0.715118 | − | 0.0511462i | ||||
\(459\) | −0.461193 | −0.0215267 | ||||||||
\(460\) | −1.40162 | + | 10.6318i | −0.0653507 | + | 0.495711i | ||||
\(461\) | 15.8460 | 0.738023 | 0.369011 | − | 0.929425i | \(-0.379696\pi\) | ||||
0.369011 | + | 0.929425i | \(0.379696\pi\) | |||||||
\(462\) | −2.07459 | + | 0.148378i | −0.0965188 | + | 0.00690316i | ||||
\(463\) | −2.71946 | + | 12.5011i | −0.126384 | + | 0.580978i | 0.869778 | + | 0.493444i | \(0.164262\pi\) |
−0.996162 | + | 0.0875337i | \(0.972101\pi\) | |||||||
\(464\) | −9.47323 | + | 1.36204i | −0.439784 | + | 0.0632313i | ||||
\(465\) | −1.91706 | + | 2.92443i | −0.0889018 | + | 0.135617i | ||||
\(466\) | −1.75099 | + | 12.1784i | −0.0811131 | + | 0.564154i | ||||
\(467\) | 8.83148 | − | 16.1736i | 0.408672 | − | 0.748427i | −0.589569 | − | 0.807718i | \(-0.700702\pi\) |
0.998241 | + | 0.0592913i | \(0.0188841\pi\) | |||||||
\(468\) | −0.781315 | + | 0.169965i | −0.0361163 | + | 0.00785662i | ||||
\(469\) | −3.87766 | − | 1.77087i | −0.179054 | − | 0.0817710i | ||||
\(470\) | 3.87611 | + | 2.16232i | 0.178792 | + | 0.0997403i | ||||
\(471\) | −14.9632 | + | 12.9657i | −0.689468 | + | 0.597428i | ||||
\(472\) | −1.02292 | + | 14.3023i | −0.0470839 | + | 0.658319i | ||||
\(473\) | 36.4318 | − | 19.8932i | 1.67513 | − | 0.914693i | ||||
\(474\) | 1.50016 | − | 3.28489i | 0.0689045 | − | 0.150880i | ||||
\(475\) | −16.4564 | − | 26.6562i | −0.755072 | − | 1.22307i | ||||
\(476\) | 0.159691 | − | 0.0468894i | 0.00731940 | − | 0.00214917i | ||||
\(477\) | 1.06253 | + | 1.41938i | 0.0486501 | + | 0.0649889i | ||||
\(478\) | −0.839403 | − | 0.313081i | −0.0383934 | − | 0.0143200i | ||||
\(479\) | 1.14116 | + | 7.93694i | 0.0521409 | + | 0.362648i | 0.999142 | + | 0.0414174i | \(0.0131873\pi\) |
−0.947001 | + | 0.321230i | \(0.895904\pi\) | |||||||
\(480\) | 0.762419 | + | 2.10207i | 0.0347995 | + | 0.0959461i | ||||
\(481\) | 5.36624 | + | 4.64988i | 0.244680 | + | 0.212016i | ||||
\(482\) | 8.86126 | − | 8.86126i | 0.403619 | − | 0.403619i | ||||
\(483\) | −1.60865 | + | 0.638376i | −0.0731960 | + | 0.0290471i | ||||
\(484\) | − | 22.2179i | − | 1.00991i | ||||||
\(485\) | 2.12937 | + | 0.325868i | 0.0966899 | + | 0.0147969i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | 1.82747 | − | 2.44121i | 0.0828104 | − | 0.110622i | −0.757223 | − | 0.653156i | \(-0.773444\pi\) |
0.840033 | + | 0.542535i | \(0.182535\pi\) | |||||||
\(488\) | −2.74723 | + | 7.36561i | −0.124361 | + | 0.333425i | ||||
\(489\) | 18.9799 | + | 2.72890i | 0.858303 | + | 0.123405i | ||||
\(490\) | −11.5177 | − | 10.1642i | −0.520316 | − | 0.459173i | ||||
\(491\) | −9.02477 | − | 5.79986i | −0.407282 | − | 0.261744i | 0.320921 | − | 0.947106i | \(-0.396008\pi\) |
−0.728203 | + | 0.685362i | \(0.759644\pi\) | |||||||
\(492\) | −3.77484 | + | 1.40794i | −0.170183 | + | 0.0634750i | ||||
\(493\) | −2.11536 | − | 3.87400i | −0.0952712 | − | 0.174476i | ||||
\(494\) | −3.28066 | − | 3.78608i | −0.147604 | − | 0.170344i | ||||
\(495\) | 11.3666 | − | 6.07366i | 0.510892 | − | 0.272991i | ||||
\(496\) | 1.50046 | + | 0.440575i | 0.0673727 | + | 0.0197824i | ||||
\(497\) | 0.474994 | + | 1.27351i | 0.0213064 | + | 0.0571247i | ||||
\(498\) | 0.163080 | + | 0.749666i | 0.00730778 | + | 0.0335933i | ||||
\(499\) | −9.61783 | − | 32.7553i | −0.430553 | − | 1.46633i | −0.834224 | − | 0.551425i | \(-0.814084\pi\) |
0.403671 | − | 0.914904i | \(-0.367734\pi\) | |||||||
\(500\) | −8.11755 | + | 7.68800i | −0.363028 | + | 0.343818i | ||||
\(501\) | −1.34529 | − | 2.94578i | −0.0601033 | − | 0.131608i | ||||
\(502\) | −15.0124 | − | 11.2381i | −0.670034 | − | 0.501581i | ||||
\(503\) | −25.9822 | − | 5.65207i | −1.15849 | − | 0.252013i | −0.408053 | − | 0.912958i | \(-0.633792\pi\) |
−0.750434 | + | 0.660945i | \(0.770156\pi\) | |||||||
\(504\) | −0.236322 | + | 0.272730i | −0.0105266 | + | 0.0121483i | ||||
\(505\) | 0.139468 | − | 0.614286i | 0.00620626 | − | 0.0273354i | ||||
\(506\) | −8.33670 | − | 26.3536i | −0.370611 | − | 1.17156i | ||||
\(507\) | 8.74031 | + | 8.74031i | 0.388171 | + | 0.388171i | ||||
\(508\) | 0.929590 | + | 12.9974i | 0.0412439 | + | 0.576665i | ||||
\(509\) | 23.7233 | + | 36.9141i | 1.05152 | + | 1.63619i | 0.721789 | + | 0.692114i | \(0.243320\pi\) |
0.329727 | + | 0.944076i | \(0.393043\pi\) | |||||||
\(510\) | −0.785458 | + | 0.668245i | −0.0347807 | + | 0.0295904i | ||||
\(511\) | 5.30522 | − | 2.42281i | 0.234689 | − | 0.107179i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | 5.49897 | + | 3.00266i | 0.242785 | + | 0.132571i | ||||
\(514\) | −7.21577 | + | 11.2280i | −0.318274 | + | 0.495244i | ||||
\(515\) | 0.308252 | + | 2.29105i | 0.0135832 | + | 0.100956i | ||||
\(516\) | 2.02906 | − | 6.91035i | 0.0893244 | − | 0.304211i | ||||
\(517\) | −11.4110 | − | 0.816133i | −0.501857 | − | 0.0358935i | ||||
\(518\) | 3.19649 | + | 0.228617i | 0.140446 | + | 0.0100449i | ||||
\(519\) | 1.41517 | − | 4.81962i | 0.0621190 | − | 0.211558i | ||||
\(520\) | −1.08439 | + | 1.42155i | −0.0475535 | + | 0.0623391i | ||||
\(521\) | −0.837441 | + | 1.30308i | −0.0366889 | + | 0.0570891i | −0.859114 | − | 0.511785i | \(-0.828984\pi\) |
0.822425 | + | 0.568874i | \(0.192621\pi\) | |||||||
\(522\) | 8.39995 | + | 4.58672i | 0.367656 | + | 0.200755i | ||||
\(523\) | 3.63611 | − | 2.72196i | 0.158996 | − | 0.119023i | −0.516817 | − | 0.856096i | \(-0.672883\pi\) |
0.675813 | + | 0.737073i | \(0.263792\pi\) | |||||||
\(524\) | −10.6931 | + | 4.88336i | −0.467129 | + | 0.213330i | ||||
\(525\) | −1.72178 | − | 0.539623i | −0.0751448 | − | 0.0235511i | ||||
\(526\) | 13.3682 | + | 20.8014i | 0.582883 | + | 0.906984i | ||||
\(527\) | 0.0514510 | + | 0.719379i | 0.00224124 | + | 0.0313367i | ||||
\(528\) | −4.07541 | − | 4.07541i | −0.177359 | − | 0.177359i | ||||
\(529\) | −13.2279 | − | 18.8155i | −0.575127 | − | 0.818064i | ||||
\(530\) | 3.86621 | + | 0.877788i | 0.167937 | + | 0.0381287i | ||||
\(531\) | 9.38997 | − | 10.8366i | 0.407490 | − | 0.470268i | ||||
\(532\) | −2.20933 | − | 0.480609i | −0.0957864 | − | 0.0208371i | ||||
\(533\) | −2.57889 | − | 1.93053i | −0.111704 | − | 0.0836206i | ||||
\(534\) | 1.80590 | + | 3.95438i | 0.0781491 | + | 0.171123i | ||||
\(535\) | −35.2880 | + | 15.7308i | −1.52563 | + | 0.680102i | ||||
\(536\) | −3.32802 | − | 11.3342i | −0.143749 | − | 0.489563i | ||||
\(537\) | 4.99772 | + | 22.9741i | 0.215667 | + | 0.991407i | ||||
\(538\) | 7.65779 | + | 20.5313i | 0.330151 | + | 0.885168i | ||||
\(539\) | 37.9901 | + | 11.1549i | 1.63635 | + | 0.480475i | ||||
\(540\) | 0.649379 | − | 2.13970i | 0.0279448 | − | 0.0920779i | ||||
\(541\) | 0.942307 | + | 1.08748i | 0.0405130 | + | 0.0467544i | 0.775644 | − | 0.631170i | \(-0.217425\pi\) |
−0.735131 | + | 0.677925i | \(0.762880\pi\) | |||||||
\(542\) | −11.7493 | − | 21.5172i | −0.504674 | − | 0.924241i | ||||
\(543\) | 4.88278 | − | 1.82118i | 0.209540 | − | 0.0781544i | ||||
\(544\) | 0.387980 | + | 0.249340i | 0.0166345 | + | 0.0106904i | ||||
\(545\) | −0.271376 | − | 4.34731i | −0.0116245 | − | 0.186218i | ||||
\(546\) | −0.285613 | − | 0.0410649i | −0.0122231 | − | 0.00175742i | ||||
\(547\) | 2.87929 | − | 7.71968i | 0.123110 | − | 0.330070i | −0.860746 | − | 0.509035i | \(-0.830002\pi\) |
0.983855 | + | 0.178965i | \(0.0572750\pi\) | |||||||
\(548\) | 6.20883 | − | 8.29402i | 0.265228 | − | 0.354303i | ||||
\(549\) | 6.61332 | − | 4.25012i | 0.282249 | − | 0.181391i | ||||
\(550\) | 10.5581 | − | 26.8137i | 0.450198 | − | 1.14334i | ||||
\(551\) | 59.9635i | 2.55453i | ||||||||
\(552\) | −4.25605 | − | 2.21044i | −0.181149 | − | 0.0940826i | ||||
\(553\) | 0.921497 | − | 0.921497i | 0.0391860 | − | 0.0391860i | ||||
\(554\) | 8.79032 | + | 7.61685i | 0.373465 | + | 0.323609i | ||||
\(555\) | −18.6670 | + | 6.77049i | −0.792370 | + | 0.287391i | ||||
\(556\) | 0.138210 | + | 0.961275i | 0.00586143 | + | 0.0407671i | ||||
\(557\) | −29.8178 | − | 11.1215i | −1.26342 | − | 0.471232i | −0.373621 | − | 0.927581i | \(-0.621884\pi\) |
−0.889801 | + | 0.456350i | \(0.849157\pi\) | |||||||
\(558\) | −0.937154 | − | 1.25189i | −0.0396729 | − | 0.0529968i | ||||
\(559\) | 5.52543 | − | 1.62241i | 0.233701 | − | 0.0686207i | ||||
\(560\) | −0.00730824 | + | 0.806903i | −0.000308829 | + | 0.0340979i | ||||
\(561\) | 1.10421 | − | 2.41788i | 0.0466198 | − | 0.102083i | ||||
\(562\) | 12.7227 | − | 6.94713i | 0.536675 | − | 0.293047i | ||||
\(563\) | −2.41285 | + | 33.7361i | −0.101690 | + | 1.42181i | 0.648817 | + | 0.760944i | \(0.275264\pi\) |
−0.750507 | + | 0.660863i | \(0.770191\pi\) | |||||||
\(564\) | −1.50012 | + | 1.29986i | −0.0631662 | + | 0.0547339i | ||||
\(565\) | −8.57194 | + | 2.43284i | −0.360624 | + | 0.102350i | ||||
\(566\) | 6.24116 | + | 2.85024i | 0.262336 | + | 0.119805i | ||||
\(567\) | 0.352626 | − | 0.0767091i | 0.0148089 | − | 0.00322148i | ||||
\(568\) | −1.80506 | + | 3.30573i | −0.0757388 | + | 0.138705i | ||||
\(569\) | −6.00761 | + | 41.7839i | −0.251852 | + | 1.75167i | 0.335224 | + | 0.942139i | \(0.391188\pi\) |
−0.587076 | + | 0.809532i | \(0.699721\pi\) | |||||||
\(570\) | 13.7160 | − | 2.85388i | 0.574500 | − | 0.119536i | ||||
\(571\) | −18.6273 | + | 2.67820i | −0.779527 | + | 0.112079i | −0.520581 | − | 0.853813i | \(-0.674284\pi\) |
−0.258947 | + | 0.965892i | \(0.583375\pi\) | |||||||
\(572\) | 0.979591 | − | 4.50311i | 0.0409588 | − | 0.188284i | ||||
\(573\) | 18.3008 | − | 1.30890i | 0.764525 | − | 0.0546799i | ||||
\(574\) | −1.45391 | −0.0606849 | ||||||||
\(575\) | 1.64687 | − | 23.9225i | 0.0686794 | − | 0.997639i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −42.6704 | + | 3.05185i | −1.77639 | + | 0.127050i | −0.920660 | − | 0.390366i | \(-0.872348\pi\) |
−0.855734 | + | 0.517416i | \(0.826894\pi\) | |||||||
\(578\) | 3.56840 | − | 16.4037i | 0.148426 | − | 0.682302i | ||||
\(579\) | −4.34941 | + | 0.625351i | −0.180755 | + | 0.0259887i | ||||
\(580\) | 20.9519 | − | 4.35945i | 0.869979 | − | 0.181016i | ||||
\(581\) | −0.0394015 | + | 0.274043i | −0.00163465 | + | 0.0113692i | ||||
\(582\) | −0.461695 | + | 0.845531i | −0.0191379 | + | 0.0350484i | ||||
\(583\) | −9.98529 | + | 2.17217i | −0.413549 | + | 0.0899620i | ||||
\(584\) | 14.7011 | + | 6.71376i | 0.608335 | + | 0.277817i | ||||
\(585\) | 1.72000 | − | 0.488161i | 0.0711133 | − | 0.0201830i | ||||
\(586\) | 13.9118 | − | 12.0546i | 0.574690 | − | 0.497971i | ||||
\(587\) | −1.26534 | + | 17.6918i | −0.0522263 | + | 0.730219i | 0.902114 | + | 0.431498i | \(0.142015\pi\) |
−0.954340 | + | 0.298721i | \(0.903440\pi\) | |||||||
\(588\) | 6.02945 | − | 3.29233i | 0.248650 | − | 0.135773i | ||||
\(589\) | 4.07015 | − | 8.91239i | 0.167708 | − | 0.367229i | ||||
\(590\) | 0.290384 | − | 32.0614i | 0.0119549 | − | 1.31995i | ||||
\(591\) | −10.6332 | + | 3.12219i | −0.437391 | + | 0.128430i | ||||
\(592\) | 5.32175 | + | 7.10903i | 0.218723 | + | 0.292179i | ||||
\(593\) | 10.0924 | + | 3.76427i | 0.414445 | + | 0.154580i | 0.548032 | − | 0.836457i | \(-0.315377\pi\) |
−0.133588 | + | 0.991037i | \(0.542650\pi\) | |||||||
\(594\) | 0.820232 | + | 5.70484i | 0.0336545 | + | 0.234072i | ||||
\(595\) | −0.349853 | + | 0.126891i | −0.0143426 | + | 0.00520203i | ||||
\(596\) | −10.6336 | − | 9.21404i | −0.435568 | − | 0.377422i | ||||
\(597\) | −3.49240 | + | 3.49240i | −0.142935 | + | 0.142935i | ||||
\(598\) | −0.352981 | − | 3.81841i | −0.0144345 | − | 0.156146i | ||||
\(599\) | − | 43.0835i | − | 1.76034i | −0.474655 | − | 0.880172i | \(-0.657427\pi\) | ||
0.474655 | − | 0.880172i | \(-0.342573\pi\) | |||||||
\(600\) | −1.99435 | − | 4.58504i | −0.0814192 | − | 0.187183i | ||||
\(601\) | −25.5337 | + | 16.4095i | −1.04154 | + | 0.669357i | −0.945367 | − | 0.326007i | \(-0.894297\pi\) |
−0.0961730 | + | 0.995365i | \(0.530660\pi\) | |||||||
\(602\) | 1.55755 | − | 2.08064i | 0.0634808 | − | 0.0848004i | ||||
\(603\) | −4.12812 | + | 11.0679i | −0.168110 | + | 0.450720i | ||||
\(604\) | 14.1032 | + | 2.02774i | 0.573853 | + | 0.0825076i | ||||
\(605\) | 3.09524 | + | 49.5843i | 0.125840 | + | 2.01589i | ||||
\(606\) | 0.236988 | + | 0.152303i | 0.00962700 | + | 0.00618690i | ||||
\(607\) | −1.05627 | + | 0.393969i | −0.0428727 | + | 0.0159907i | −0.370809 | − | 0.928709i | \(-0.620920\pi\) |
0.327936 | + | 0.944700i | \(0.393647\pi\) | |||||||
\(608\) | −3.00266 | − | 5.49897i | −0.121774 | − | 0.223013i | ||||
\(609\) | 2.26175 | + | 2.61020i | 0.0916507 | + | 0.105771i | ||||
\(610\) | 5.10494 | − | 16.8207i | 0.206693 | − | 0.681052i | ||||
\(611\) | −1.52284 | − | 0.447146i | −0.0616076 | − | 0.0180896i | ||||
\(612\) | −0.161171 | − | 0.432115i | −0.00651493 | − | 0.0174672i | ||||
\(613\) | 0.422743 | + | 1.94332i | 0.0170744 | + | 0.0784900i | 0.984896 | − | 0.173149i | \(-0.0553942\pi\) |
−0.967821 | + | 0.251639i | \(0.919031\pi\) | |||||||
\(614\) | 6.35297 | + | 21.6362i | 0.256385 | + | 0.873167i | ||||
\(615\) | 8.22826 | − | 3.66802i | 0.331796 | − | 0.147909i | ||||
\(616\) | −0.864018 | − | 1.89194i | −0.0348123 | − | 0.0762283i | ||||
\(617\) | 12.1336 | + | 9.08309i | 0.488480 | + | 0.365671i | 0.814945 | − | 0.579538i | \(-0.196767\pi\) |
−0.326466 | + | 0.945209i | \(0.605858\pi\) | |||||||
\(618\) | −1.01020 | − | 0.219755i | −0.0406360 | − | 0.00883983i | ||||
\(619\) | 5.12462 | − | 5.91413i | 0.205976 | − | 0.237709i | −0.643357 | − | 0.765566i | \(-0.722459\pi\) |
0.849333 | + | 0.527857i | \(0.177004\pi\) | |||||||
\(620\) | −3.40999 | − | 0.774209i | −0.136949 | − | 0.0310930i | ||||
\(621\) | 2.08248 | + | 4.32010i | 0.0835669 | + | 0.173360i | ||||
\(622\) | −7.87541 | − | 7.87541i | −0.315775 | − | 0.315775i | ||||
\(623\) | 0.111917 | + | 1.56480i | 0.00448385 | + | 0.0626924i | ||||
\(624\) | −0.432290 | − | 0.672656i | −0.0173054 | − | 0.0269278i | ||||
\(625\) | 17.0451 | − | 18.2884i | 0.681804 | − | 0.731535i | ||||
\(626\) | 18.2778 | − | 8.34721i | 0.730529 | − | 0.333622i | ||||
\(627\) | −28.9078 | + | 21.6401i | −1.15447 | + | 0.864224i | ||||
\(628\) | −17.3773 | − | 9.48873i | −0.693430 | − | 0.378641i | ||||
\(629\) | −2.21421 | + | 3.44537i | −0.0882862 | + | 0.137376i | ||||
\(630\) | 0.489410 | − | 0.641580i | 0.0194986 | − | 0.0255612i | ||||
\(631\) | −9.91996 | + | 33.7843i | −0.394907 | + | 1.34493i | 0.486956 | + | 0.873426i | \(0.338107\pi\) |
−0.881864 | + | 0.471504i | \(0.843711\pi\) | |||||||
\(632\) | 3.60202 | + | 0.257622i | 0.143281 | + | 0.0102476i | ||||
\(633\) | −18.0128 | − | 1.28830i | −0.715945 | − | 0.0512054i | ||||
\(634\) | 3.32966 | − | 11.3398i | 0.132238 | − | 0.450360i | ||||
\(635\) | −3.88529 | − | 28.8770i | −0.154183 | − | 1.14595i | ||||
\(636\) | −0.958569 | + | 1.49156i | −0.0380097 | + | 0.0591443i | ||||
\(637\) | 4.82108 | + | 2.63251i | 0.191018 | + | 0.104304i | ||||
\(638\) | −44.1582 | + | 33.0564i | −1.74824 | + | 1.30872i | ||||
\(639\) | 3.42608 | − | 1.56464i | 0.135533 | − | 0.0618961i | ||||
\(640\) | −1.70310 | + | 1.44895i | −0.0673209 | + | 0.0572747i | ||||
\(641\) | 15.3426 | + | 23.8735i | 0.605995 | + | 0.942947i | 0.999719 | + | 0.0237183i | \(0.00755046\pi\) |
−0.393723 | + | 0.919229i | \(0.628813\pi\) | |||||||
\(642\) | −1.23262 | − | 17.2343i | −0.0486477 | − | 0.680183i | ||||
\(643\) | −10.7529 | − | 10.7529i | −0.424052 | − | 0.424052i | 0.462544 | − | 0.886596i | \(-0.346937\pi\) |
−0.886596 | + | 0.462544i | \(0.846937\pi\) | |||||||
\(644\) | −1.16029 | − | 1.28413i | −0.0457219 | − | 0.0506019i | ||||
\(645\) | −3.56561 | + | 15.7047i | −0.140396 | + | 0.618371i | ||||
\(646\) | 1.89225 | − | 2.18377i | 0.0744494 | − | 0.0859192i | ||||
\(647\) | 20.3844 | + | 4.43435i | 0.801393 | + | 0.174332i | 0.594568 | − | 0.804045i | \(-0.297323\pi\) |
0.206826 | + | 0.978378i | \(0.433687\pi\) | |||||||
\(648\) | 0.800541 | + | 0.599278i | 0.0314482 | + | 0.0235419i | ||||
\(649\) | 34.3308 | + | 75.1739i | 1.34760 | + | 2.95083i | ||||
\(650\) | 2.22201 | − | 3.32358i | 0.0871545 | − | 0.130361i | ||||
\(651\) | −0.158992 | − | 0.541476i | −0.00623137 | − | 0.0212221i | ||||
\(652\) | 4.07597 | + | 18.7369i | 0.159627 | + | 0.733794i | ||||
\(653\) | 0.796548 | + | 2.13563i | 0.0311713 | + | 0.0835736i | 0.951603 | − | 0.307330i | \(-0.0994354\pi\) |
−0.920432 | + | 0.390903i | \(0.872163\pi\) | |||||||
\(654\) | 1.86905 | + | 0.548804i | 0.0730858 | + | 0.0214599i | ||||
\(655\) | 23.1836 | − | 12.3880i | 0.905860 | − | 0.484039i | ||||
\(656\) | −2.63834 | − | 3.04481i | −0.103010 | − | 0.118880i | ||||
\(657\) | −7.74541 | − | 14.1847i | −0.302177 | − | 0.553396i | ||||
\(658\) | −0.671147 | + | 0.250325i | −0.0261640 | + | 0.00975867i | ||||
\(659\) | 12.3112 | + | 7.91193i | 0.479577 | + | 0.308205i | 0.758001 | − | 0.652253i | \(-0.226176\pi\) |
−0.278425 | + | 0.960458i | \(0.589812\pi\) | |||||||
\(660\) | 9.66295 | + | 8.52743i | 0.376130 | + | 0.331930i | ||||
\(661\) | −10.8384 | − | 1.55832i | −0.421564 | − | 0.0606118i | −0.0717316 | − | 0.997424i | \(-0.522853\pi\) |
−0.349833 | + | 0.936812i | \(0.613762\pi\) | |||||||
\(662\) | 2.62252 | − | 7.03125i | 0.101927 | − | 0.273277i | ||||
\(663\) | 0.220992 | − | 0.295211i | 0.00858263 | − | 0.0114651i | ||||
\(664\) | −0.645409 | + | 0.414779i | −0.0250467 | + | 0.0160965i | ||||
\(665\) | 4.99756 | + | 0.764800i | 0.193797 | + | 0.0296577i | ||||
\(666\) | − | 8.88027i | − | 0.344104i | ||||||
\(667\) | −26.7369 | + | 37.3078i | −1.03526 | + | 1.44456i | ||||
\(668\) | 2.28992 | − | 2.28992i | 0.0885996 | − | 0.0885996i | ||||
\(669\) | 21.5252 | + | 18.6517i | 0.832212 | + | 0.721116i | ||||
\(670\) | 9.00623 | + | 24.8312i | 0.347941 | + | 0.959312i | ||||
\(671\) | 6.44806 | + | 44.8472i | 0.248925 | + | 1.73131i | ||||
\(672\) | −0.338120 | − | 0.126112i | −0.0130433 | − | 0.00486488i | ||||
\(673\) | −11.2698 | − | 15.0547i | −0.434420 | − | 0.580317i | 0.528896 | − | 0.848687i | \(-0.322606\pi\) |
−0.963316 | + | 0.268369i | \(0.913515\pi\) | |||||||
\(674\) | −20.3583 | + | 5.97773i | −0.784172 | + | 0.230254i | ||||
\(675\) | −1.15115 | + | 4.86568i | −0.0443076 | + | 0.187280i | ||||
\(676\) | −5.13480 | + | 11.2437i | −0.197492 | + | 0.432448i | ||||
\(677\) | −16.6538 | + | 9.09369i | −0.640059 | + | 0.349499i | −0.766283 | − | 0.642503i | \(-0.777896\pi\) |
0.126224 | + | 0.992002i | \(0.459714\pi\) | |||||||
\(678\) | 0.284279 | − | 3.97474i | 0.0109177 | − | 0.152649i | ||||
\(679\) | −0.262740 | + | 0.227666i | −0.0100830 | + | 0.00873700i | ||||
\(680\) | −0.900602 | − | 0.502407i | −0.0345365 | − | 0.0192664i | ||||
\(681\) | −9.74834 | − | 4.45192i | −0.373557 | − | 0.170598i | ||||
\(682\) | 8.80702 | − | 1.91585i | 0.337238 | − | 0.0733617i | ||||
\(683\) | 0.195824 | − | 0.358624i | 0.00749299 | − | 0.0137224i | −0.873906 | − | 0.486096i | \(-0.838421\pi\) |
0.881399 | + | 0.472373i | \(0.156603\pi\) | |||||||
\(684\) | −0.891653 | + | 6.20158i | −0.0340932 | + | 0.237123i | ||||
\(685\) | −12.7009 | + | 19.3749i | −0.485277 | + | 0.740278i | ||||
\(686\) | 4.95428 | − | 0.712318i | 0.189155 | − | 0.0271964i | ||||
\(687\) | 3.26145 | − | 14.9926i | 0.124432 | − | 0.572005i | ||||
\(688\) | 7.18373 | − | 0.513791i | 0.273877 | − | 0.0195881i | ||||
\(689\) | −1.41769 | −0.0540096 | ||||||||
\(690\) | 9.80627 | + | 4.34017i | 0.373318 | + | 0.165227i | ||||
\(691\) | −14.7818 | −0.562327 | −0.281163 | − | 0.959660i | \(-0.590720\pi\) | ||||
−0.281163 | + | 0.959660i | \(0.590720\pi\) | |||||||
\(692\) | 5.01029 | − | 0.358343i | 0.190463 | − | 0.0136222i | ||||
\(693\) | −0.442113 | + | 2.03236i | −0.0167945 | + | 0.0772030i | ||||
\(694\) | 33.8029 | − | 4.86013i | 1.28314 | − | 0.184488i | ||||
\(695\) | −0.442365 | − | 2.12605i | −0.0167799 | − | 0.0806455i | ||||
\(696\) | −1.36204 | + | 9.47323i | −0.0516282 | + | 0.359082i | ||||
\(697\) | 0.890485 | − | 1.63080i | 0.0337295 | − | 0.0617710i | ||||
\(698\) | −18.7472 | + | 4.07821i | −0.709592 | + | 0.154362i | ||||
\(699\) | 11.1918 | + | 5.11112i | 0.423312 | + | 0.193320i | ||||
\(700\) | −0.0961020 | − | 1.80180i | −0.00363231 | − | 0.0681018i | ||||
\(701\) | −3.98777 | + | 3.45542i | −0.150616 | + | 0.130509i | −0.726909 | − | 0.686733i | \(-0.759044\pi\) |
0.576293 | + | 0.817243i | \(0.304499\pi\) | |||||||
\(702\) | −0.0570419 | + | 0.797550i | −0.00215291 | + | 0.0301016i | ||||
\(703\) | 48.8323 | − | 26.6645i | 1.84175 | − | 1.00567i | ||||
\(704\) | 2.39424 | − | 5.24266i | 0.0902365 | − | 0.197590i | ||||
\(705\) | 3.16676 | − | 3.10991i | 0.119267 | − | 0.117126i | ||||
\(706\) | −11.7083 | + | 3.43786i | −0.440647 | + | 0.129386i | ||||
\(707\) | 0.0609232 | + | 0.0813839i | 0.00229125 | + | 0.00306076i | ||||
\(708\) | 13.4348 | + | 5.01092i | 0.504911 | + | 0.188322i | ||||
\(709\) | 6.69562 | + | 46.5691i | 0.251459 | + | 1.74894i | 0.589465 | + | 0.807794i | \(0.299339\pi\) |
−0.338006 | + | 0.941144i | \(0.609752\pi\) | |||||||
\(710\) | 3.56787 | − | 7.62894i | 0.133900 | − | 0.286309i | ||||
\(711\) | −2.72918 | − | 2.36485i | −0.102352 | − | 0.0886888i | ||||
\(712\) | −3.07395 | + | 3.07395i | −0.115201 | + | 0.115201i | ||||
\(713\) | 6.50627 | − | 3.73025i | 0.243662 | − | 0.139699i | ||||
\(714\) | − | 0.166432i | − | 0.00622857i | ||||||
\(715\) | −1.55884 | + | 10.1862i | −0.0582972 | + | 0.380941i | ||||
\(716\) | −19.7791 | + | 12.7112i | −0.739179 | + | 0.475042i | ||||
\(717\) | −0.536886 | + | 0.717196i | −0.0200504 | + | 0.0267842i | ||||
\(718\) | 8.19856 | − | 21.9812i | 0.305968 | − | 0.820331i | ||||
\(719\) | 4.83162 | + | 0.694681i | 0.180189 | + | 0.0259072i | 0.231819 | − | 0.972759i | \(-0.425532\pi\) |
−0.0516297 | + | 0.998666i | \(0.516442\pi\) | |||||||
\(720\) | 2.23172 | − | 0.139313i | 0.0831714 | − | 0.00519188i | ||||
\(721\) | −0.313853 | − | 0.201701i | −0.0116885 | − | 0.00751175i | ||||
\(722\) | −18.9776 | + | 7.07827i | −0.706273 | + | 0.263426i | ||||
\(723\) | −6.00581 | − | 10.9988i | −0.223358 | − | 0.409050i | ||||
\(724\) | 3.41271 | + | 3.93848i | 0.126832 | + | 0.146372i | ||||
\(725\) | −46.1515 | + | 12.6480i | −1.71402 | + | 0.469733i | ||||
\(726\) | −21.3180 | − | 6.25952i | −0.791184 | − | 0.232312i | ||||
\(727\) | −0.680832 | − | 1.82538i | −0.0252507 | − | 0.0676996i | 0.923713 | − | 0.383086i | \(-0.125139\pi\) |
−0.948963 | + | 0.315386i | \(0.897866\pi\) | |||||||
\(728\) | −0.0613356 | − | 0.281955i | −0.00227325 | − | 0.0104500i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −33.7441 | − | 12.9352i | −1.24892 | − | 0.478753i | ||||
\(731\) | 1.37982 | + | 3.02139i | 0.0510346 | + | 0.111750i | ||||
\(732\) | 6.29327 | + | 4.71108i | 0.232606 | + | 0.174127i | ||||
\(733\) | −48.5191 | − | 10.5547i | −1.79210 | − | 0.389846i | −0.811260 | − | 0.584686i | \(-0.801218\pi\) |
−0.980835 | + | 0.194839i | \(0.937581\pi\) | |||||||
\(734\) | 0.725255 | − | 0.836989i | 0.0267697 | − | 0.0308938i | ||||
\(735\) | −12.9974 | + | 8.18755i | −0.479417 | + | 0.302002i | ||||
\(736\) | 0.583734 | − | 4.76017i | 0.0215167 | − | 0.175462i | ||||
\(737\) | −48.1416 | − | 48.1416i | −1.77332 | − | 1.77332i | ||||
\(738\) | 0.287416 | + | 4.01860i | 0.0105799 | + | 0.147927i | ||||
\(739\) | 17.4551 | + | 27.1607i | 0.642098 | + | 0.999123i | 0.997913 | + | 0.0645672i | \(0.0205667\pi\) |
−0.355816 | + | 0.934556i | \(0.615797\pi\) | |||||||
\(740\) | −12.8671 | − | 15.1240i | −0.473002 | − | 0.555969i | ||||
\(741\) | −4.55698 | + | 2.08110i | −0.167405 | + | 0.0764513i | ||||
\(742\) | −0.512215 | + | 0.383440i | −0.0188040 | + | 0.0140765i | ||||
\(743\) | 0.866378 | + | 0.473078i | 0.0317843 | + | 0.0173556i | 0.495063 | − | 0.868857i | \(-0.335145\pi\) |
−0.463278 | + | 0.886213i | \(0.653327\pi\) | |||||||
\(744\) | 0.845457 | − | 1.31556i | 0.0309960 | − | 0.0482307i | ||||
\(745\) | 25.0148 | + | 19.0818i | 0.916473 | + | 0.699104i | ||||
\(746\) | 2.24554 | − | 7.64759i | 0.0822149 | − | 0.279998i | ||||
\(747\) | 0.765244 | + | 0.0547313i | 0.0279988 | + | 0.00200251i | ||||
\(748\) | 2.65132 | + | 0.189626i | 0.0969417 | + | 0.00693341i | ||||
\(749\) | 1.75668 | − | 5.98270i | 0.0641877 | − | 0.218603i | ||||
\(750\) | 5.08960 | + | 9.95469i | 0.185846 | + | 0.363494i | ||||
\(751\) | −8.09436 | + | 12.5951i | −0.295367 | + | 0.459600i | −0.956942 | − | 0.290279i | \(-0.906252\pi\) |
0.661575 | + | 0.749879i | \(0.269888\pi\) | |||||||
\(752\) | −1.74214 | − | 0.951279i | −0.0635292 | − | 0.0346896i | ||||
\(753\) | −15.0124 | + | 11.2381i | −0.547080 | + | 0.409539i | ||||
\(754\) | −6.96102 | + | 3.17899i | −0.253505 | + | 0.115772i | ||||
\(755\) | −31.7570 | − | 2.56060i | −1.15576 | − | 0.0931896i | ||||
\(756\) | 0.195103 | + | 0.303586i | 0.00709582 | + | 0.0110413i | ||||
\(757\) | 2.26887 | + | 31.7229i | 0.0824634 | + | 1.15299i | 0.855213 | + | 0.518277i | \(0.173427\pi\) |
−0.772749 | + | 0.634712i | \(0.781119\pi\) | |||||||
\(758\) | 6.46087 | + | 6.46087i | 0.234669 | + | 0.234669i | ||||
\(759\) | −27.6348 | + | 0.574338i | −1.00308 | + | 0.0208472i | ||||
\(760\) | 7.46719 | + | 11.8539i | 0.270864 | + | 0.429985i | ||||
\(761\) | 2.49445 | − | 2.87875i | 0.0904238 | − | 0.104355i | −0.708734 | − | 0.705475i | \(-0.750734\pi\) |
0.799158 | + | 0.601121i | \(0.205279\pi\) | |||||||
\(762\) | 12.7328 | + | 2.76985i | 0.461260 | + | 0.100341i | ||||
\(763\) | 0.562753 | + | 0.421272i | 0.0203730 | + | 0.0152511i | ||||
\(764\) | 7.62183 | + | 16.6895i | 0.275748 | + | 0.603804i | ||||
\(765\) | 0.419887 | + | 0.941908i | 0.0151811 | + | 0.0340548i | ||||
\(766\) | 8.20544 | + | 27.9452i | 0.296475 | + | 1.00970i | ||||
\(767\) | 2.43710 | + | 11.2032i | 0.0879986 | + | 0.404523i | ||||
\(768\) | −0.349464 | − | 0.936950i | −0.0126102 | − | 0.0338093i | ||||
\(769\) | 10.7400 | + | 3.15355i | 0.387294 | + | 0.113720i | 0.469582 | − | 0.882889i | \(-0.344405\pi\) |
−0.0822881 | + | 0.996609i | \(0.526223\pi\) | |||||||
\(770\) | 2.19182 | + | 4.10191i | 0.0789877 | + | 0.147823i | ||||
\(771\) | 8.74023 | + | 10.0868i | 0.314772 | + | 0.363266i | ||||
\(772\) | −2.10589 | − | 3.85664i | −0.0757925 | − | 0.138804i | ||||
\(773\) | −27.1070 | + | 10.1104i | −0.974971 | + | 0.363645i | −0.785924 | − | 0.618323i | \(-0.787812\pi\) |
−0.189047 | + | 0.981968i | \(0.560540\pi\) | |||||||
\(774\) | −6.05878 | − | 3.89374i | −0.217778 | − | 0.139958i | ||||
\(775\) | 7.71802 | + | 1.25276i | 0.277239 | + | 0.0450006i | ||||
\(776\) | −0.953566 | − | 0.137102i | −0.0342310 | − | 0.00492168i | ||||
\(777\) | 1.11991 | − | 3.00260i | 0.0401766 | − | 0.107718i | ||||
\(778\) | 8.06189 | − | 10.7694i | 0.289033 | − | 0.386103i | ||||
\(779\) | −21.2351 | + | 13.6470i | −0.760828 | + | 0.488954i | ||||
\(780\) | 1.05846 | + | 1.44096i | 0.0378990 | + | 0.0515946i | ||||
\(781\) | 21.7079i | 0.776769i | ||||||||
\(782\) | 2.15102 | − | 0.514960i | 0.0769204 | − | 0.0184149i | ||||
\(783\) | 6.76747 | − | 6.76747i | 0.241850 | − | 0.241850i | ||||
\(784\) | 5.19183 | + | 4.49874i | 0.185422 | + | 0.160669i | ||||
\(785\) | 40.1033 | + | 18.7553i | 1.43135 | + | 0.669407i | ||||
\(786\) | 1.67296 | + | 11.6357i | 0.0596726 | + | 0.415032i | ||||
\(787\) | 0.229077 | + | 0.0854413i | 0.00816571 | + | 0.00304565i | 0.353544 | − | 0.935418i | \(-0.384977\pi\) |
−0.345378 | + | 0.938464i | \(0.612249\pi\) | |||||||
\(788\) | −6.64126 | − | 8.87168i | −0.236585 | − | 0.316041i | ||||
\(789\) | 23.7251 | − | 6.96631i | 0.844634 | − | 0.248007i | ||||
\(790\) | −8.07461 | − | 0.0731329i | −0.287282 | − | 0.00260195i | ||||
\(791\) | 0.597384 | − | 1.30809i | 0.0212405 | − | 0.0465103i | ||||
\(792\) | −5.05850 | + | 2.76215i | −0.179746 | + | 0.0981488i | ||||
\(793\) | −0.448422 | + | 6.26976i | −0.0159239 | + | 0.222646i | ||||
\(794\) | 23.3851 | − | 20.2633i | 0.829906 | − | 0.719117i | ||||
\(795\) | 1.93147 | − | 3.46230i | 0.0685021 | − | 0.122795i | ||||
\(796\) | −4.49268 | − | 2.05174i | −0.159239 | − | 0.0727219i | ||||
\(797\) | −27.8650 | + | 6.06165i | −0.987027 | + | 0.214715i | −0.676976 | − | 0.736005i | \(-0.736710\pi\) |
−0.310051 | + | 0.950720i | \(0.600346\pi\) | |||||||
\(798\) | −1.08358 | + | 1.98443i | −0.0383583 | + | 0.0702480i | ||||
\(799\) | 0.130281 | − | 0.906122i | 0.00460900 | − | 0.0320563i | ||||
\(800\) | 3.59899 | − | 3.47092i | 0.127244 | − | 0.122715i | ||||
\(801\) | 4.30298 | − | 0.618675i | 0.152038 | − | 0.0218598i | ||||
\(802\) | −3.73040 | + | 17.1484i | −0.131725 | + | 0.605530i | ||||
\(803\) | 92.9099 | − | 6.64504i | 3.27872 | − | 0.234499i | ||||
\(804\) | −11.8127 | −0.416602 | ||||||||
\(805\) | 2.76835 | + | 2.70419i | 0.0975714 | + | 0.0953101i | ||||
\(806\) | 1.25040 | 0.0440435 | ||||||||
\(807\) | 21.8571 | − | 1.56325i | 0.769407 | − | 0.0550290i | ||||
\(808\) | −0.0598815 | + | 0.275271i | −0.00210662 | + | 0.00968399i | ||||
\(809\) | −36.6470 | + | 5.26905i | −1.28844 | + | 0.185250i | −0.752267 | − | 0.658858i | \(-0.771040\pi\) |
−0.536173 | + | 0.844108i | \(0.680131\pi\) | |||||||
\(810\) | −1.87007 | − | 1.22590i | −0.0657077 | − | 0.0430736i | ||||
\(811\) | −0.256736 | + | 1.78564i | −0.00901521 | + | 0.0627022i | −0.993832 | − | 0.110892i | \(-0.964629\pi\) |
0.984817 | + | 0.173595i | \(0.0555382\pi\) | |||||||
\(812\) | −1.65522 | + | 3.03132i | −0.0580870 | + | 0.106378i | ||||
\(813\) | −23.9557 | + | 5.21124i | −0.840163 | + | 0.182766i | ||||
\(814\) | 46.5563 | + | 21.2615i | 1.63180 | + | 0.745217i | ||||
\(815\) | −11.7067 | − | 41.2478i | −0.410069 | − | 1.44485i | ||||
\(816\) | 0.348547 | − | 0.302017i | 0.0122016 | − | 0.0105727i | ||||
\(817\) | 3.21908 | − | 45.0086i | 0.112621 | − | 1.57465i | ||||
\(818\) | −11.6194 | + | 6.34465i | −0.406262 | + | 0.221836i | ||||
\(819\) | −0.119868 | + | 0.262474i | −0.00418852 | + | 0.00917158i | ||||
\(820\) | 6.31224 | + | 6.42762i | 0.220433 | + | 0.224462i | ||||
\(821\) | 29.0566 | − | 8.53179i | 1.01408 | − | 0.297762i | 0.267860 | − | 0.963458i | \(-0.413684\pi\) |
0.746223 | + | 0.665696i | \(0.231865\pi\) | |||||||
\(822\) | −6.20883 | − | 8.29402i | −0.216558 | − | 0.289287i | ||||
\(823\) | −21.5659 | − | 8.04368i | −0.751741 | − | 0.280385i | −0.0557593 | − | 0.998444i | \(-0.517758\pi\) |
−0.695982 | + | 0.718059i | \(0.745031\pi\) | |||||||
\(824\) | −0.147128 | − | 1.02330i | −0.00512545 | − | 0.0356483i | ||||
\(825\) | −22.7530 | − | 17.6847i | −0.792158 | − | 0.615702i | ||||
\(826\) | 3.91064 | + | 3.38858i | 0.136068 | + | 0.117904i | ||||
\(827\) | 25.8212 | − | 25.8212i | 0.897893 | − | 0.897893i | −0.0973569 | − | 0.995250i | \(-0.531039\pi\) |
0.995250 | + | 0.0973569i | \(0.0310388\pi\) | |||||||
\(828\) | −3.31997 | + | 3.46090i | −0.115377 | + | 0.120274i | ||||
\(829\) | − | 30.3005i | − | 1.05238i | −0.850367 | − | 0.526190i | \(-0.823620\pi\) | ||
0.850367 | − | 0.526190i | \(-0.176380\pi\) | |||||||
\(830\) | 1.38259 | − | 1.01559i | 0.0479904 | − | 0.0352515i | ||||
\(831\) | 9.78484 | − | 6.28833i | 0.339432 | − | 0.218140i | ||||
\(832\) | 0.479175 | − | 0.640103i | 0.0166124 | − | 0.0221916i | ||||
\(833\) | −1.10720 | + | 2.96853i | −0.0383624 | + | 0.102853i | ||||
\(834\) | 0.961275 | + | 0.138210i | 0.0332862 | + | 0.00478584i | ||||
\(835\) | −4.79145 | + | 5.42948i | −0.165815 | + | 0.187895i | ||||
\(836\) | −30.3780 | − | 19.5227i | −1.05064 | − | 0.675208i | ||||
\(837\) | −1.46521 | + | 0.546494i | −0.0506450 | + | 0.0188896i | ||||
\(838\) | −7.49348 | − | 13.7233i | −0.258858 | − | 0.474063i | ||||
\(839\) | 5.47449 | + | 6.31790i | 0.189000 | + | 0.218118i | 0.842339 | − | 0.538947i | \(-0.181178\pi\) |
−0.653339 | + | 0.757065i | \(0.726632\pi\) | |||||||
\(840\) | 0.772159 | + | 0.234343i | 0.0266420 | + | 0.00808561i | ||||
\(841\) | 60.0616 | + | 17.6357i | 2.07109 | + | 0.608127i | ||||
\(842\) | −11.4333 | − | 30.6539i | −0.394017 | − | 1.05640i | ||||
\(843\) | −3.08132 | − | 14.1646i | −0.106126 | − | 0.487854i | ||||
\(844\) | −5.08776 | − | 17.3273i | −0.175128 | − | 0.596431i | ||||
\(845\) | 9.89308 | − | 25.8081i | 0.340332 | − | 0.887825i | ||||
\(846\) | 0.824573 | + | 1.80556i | 0.0283494 | + | 0.0620765i | ||||
\(847\) | −6.41862 | − | 4.80492i | −0.220546 | − | 0.165099i | ||||
\(848\) | −1.73250 | − | 0.376883i | −0.0594945 | − | 0.0129422i | ||||
\(849\) | 4.49313 | − | 5.18534i | 0.154204 | − | 0.177961i | ||||
\(850\) | 2.07989 | + | 0.995769i | 0.0713395 | + | 0.0341546i | ||||
\(851\) | 42.2716 | + | 5.18372i | 1.44905 | + | 0.177696i | ||||
\(852\) | 2.66328 | + | 2.66328i | 0.0912424 | + | 0.0912424i | ||||
\(853\) | 1.33623 | + | 18.6830i | 0.0457518 | + | 0.639693i | 0.967656 | + | 0.252275i | \(0.0811786\pi\) |
−0.921904 | + | 0.387419i | \(0.873367\pi\) | |||||||
\(854\) | 1.53375 | + | 2.38657i | 0.0524840 | + | 0.0816667i | ||||
\(855\) | 1.12596 | − | 13.9644i | 0.0385071 | − | 0.477574i | ||||
\(856\) | 15.7169 | − | 7.17767i | 0.537193 | − | 0.245328i | ||||
\(857\) | −16.7623 | + | 12.5481i | −0.572590 | + | 0.428636i | −0.845939 | − | 0.533279i | \(-0.820960\pi\) |
0.273349 | + | 0.961915i | \(0.411869\pi\) | |||||||
\(858\) | −4.04472 | − | 2.20858i | −0.138084 | − | 0.0753998i | ||||
\(859\) | 24.7389 | − | 38.4944i | 0.844080 | − | 1.31341i | −0.103739 | − | 0.994605i | \(-0.533081\pi\) |
0.947819 | − | 0.318809i | \(-0.103283\pi\) | |||||||
\(860\) | −15.9605 | + | 2.14742i | −0.544250 | + | 0.0732266i | ||||
\(861\) | −0.409613 | + | 1.39501i | −0.0139596 | + | 0.0475420i | ||||
\(862\) | 7.08308 | + | 0.506592i | 0.241251 | + | 0.0172546i | ||||
\(863\) | 9.78140 | + | 0.699579i | 0.332963 | + | 0.0238140i | 0.236820 | − | 0.971554i | \(-0.423895\pi\) |
0.0961428 | + | 0.995368i | \(0.469349\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | −11.1317 | + | 1.49772i | −0.378488 | + | 0.0509240i | ||||
\(866\) | 11.6536 | − | 18.1333i | 0.396004 | − | 0.616195i | ||||
\(867\) | −14.7339 | − | 8.04530i | −0.500388 | − | 0.273233i | ||||
\(868\) | 0.451774 | − | 0.338194i | 0.0153342 | − | 0.0114790i | ||||
\(869\) | 18.9324 | − | 8.64616i | 0.642239 | − | 0.293301i | ||||
\(870\) | 1.71997 | − | 21.3314i | 0.0583123 | − | 0.723201i | ||||
\(871\) | −5.10651 | − | 7.94589i | −0.173028 | − | 0.269236i | ||||
\(872\) | 0.138966 | + | 1.94300i | 0.00470598 | + | 0.0657982i | ||||
\(873\) | 0.681207 | + | 0.681207i | 0.0230554 | + | 0.0230554i | ||||
\(874\) | −29.0001 | − | 7.86450i | −0.980944 | − | 0.266021i | ||||
\(875\) | 0.465487 | + | 4.00774i | 0.0157363 | + | 0.135486i | ||||
\(876\) | 10.5836 | − | 12.2141i | 0.357586 | − | 0.412676i | ||||
\(877\) | −35.4903 | − | 7.72043i | −1.19842 | − | 0.260700i | −0.431303 | − | 0.902207i | \(-0.641946\pi\) |
−0.767118 | + | 0.641507i | \(0.778310\pi\) | |||||||
\(878\) | 17.3290 | + | 12.9723i | 0.584826 | + | 0.437796i | ||||
\(879\) | −7.64692 | − | 16.7444i | −0.257924 | − | 0.564775i | ||||
\(880\) | −4.61292 | + | 12.0337i | −0.155502 | + | 0.405657i | ||||
\(881\) | −0.987804 | − | 3.36415i | −0.0332800 | − | 0.113341i | 0.941178 | − | 0.337911i | \(-0.109720\pi\) |
−0.974458 | + | 0.224570i | \(0.927902\pi\) | |||||||
\(882\) | −1.46027 | − | 6.71277i | −0.0491700 | − | 0.226031i | ||||
\(883\) | −4.99366 | − | 13.3885i | −0.168050 | − | 0.450560i | 0.825438 | − | 0.564492i | \(-0.190928\pi\) |
−0.993488 | + | 0.113932i | \(0.963655\pi\) | |||||||
\(884\) | 0.353827 | + | 0.103893i | 0.0119005 | + | 0.00349430i | ||||
\(885\) | −30.6809 | − | 9.31136i | −1.03133 | − | 0.312998i | ||||
\(886\) | −12.9396 | − | 14.9331i | −0.434713 | − | 0.501686i | ||||
\(887\) | 9.85754 | + | 18.0527i | 0.330984 | + | 0.606152i | 0.989182 | − | 0.146693i | \(-0.0468629\pi\) |
−0.658198 | + | 0.752845i | \(0.728681\pi\) | |||||||
\(888\) | 8.32037 | − | 3.10334i | 0.279213 | − | 0.104141i | ||||
\(889\) | 3.95589 | + | 2.54230i | 0.132676 | + | 0.0852659i | ||||
\(890\) | 6.43198 | − | 7.28846i | 0.215600 | − | 0.244310i | ||||
\(891\) | 5.70484 | + | 0.820232i | 0.191119 | + | 0.0274788i | ||||
\(892\) | −9.95341 | + | 26.6861i | −0.333265 | + | 0.893517i | ||||
\(893\) | −7.45281 | + | 9.95579i | −0.249399 | + | 0.333158i | ||||
\(894\) | −11.8366 | + | 7.60694i | −0.395876 | + | 0.254414i | ||||
\(895\) | 42.3706 | − | 31.1235i | 1.41629 | − | 1.04034i | ||||
\(896\) | − | 0.360873i | − | 0.0120559i | ||||||
\(897\) | −3.76318 | − | 0.737087i | −0.125649 | − | 0.0246106i | ||||
\(898\) | 17.4324 | − | 17.4324i | 0.581726 | − | 0.581726i | ||||
\(899\) | −11.3110 | − | 9.80106i | −0.377244 | − | 0.326884i | ||||
\(900\) | −4.96118 | + | 0.621815i | −0.165373 | + | 0.0207272i | ||||
\(901\) | −0.116372 | − | 0.809384i | −0.00387691 | − | 0.0269645i | ||||
\(902\) | −21.7563 | − | 8.11468i | −0.724406 | − | 0.270189i | ||||
\(903\) | −1.55755 | − | 2.08064i | −0.0518319 | − | 0.0692393i | ||||
\(904\) | 3.82348 | − | 1.12267i | 0.127167 | − | 0.0373396i | ||||
\(905\) | −8.16491 | − | 8.31416i | −0.271411 | − | 0.276372i | ||||
\(906\) | 5.91895 | − | 12.9607i | 0.196644 | − | 0.430590i | ||||
\(907\) | 1.83126 | − | 0.999946i | 0.0608061 | − | 0.0332027i | −0.448558 | − | 0.893754i | \(-0.648062\pi\) |
0.509364 | + | 0.860551i | \(0.329881\pi\) | |||||||
\(908\) | 0.764527 | − | 10.6895i | 0.0253717 | − | 0.354743i | ||||
\(909\) | 0.212901 | − | 0.184480i | 0.00706149 | − | 0.00611882i | ||||
\(910\) | 0.176164 | + | 0.620702i | 0.00583979 | + | 0.0205761i | ||||
\(911\) | 10.5643 | + | 4.82453i | 0.350009 | + | 0.159844i | 0.582659 | − | 0.812717i | \(-0.302012\pi\) |
−0.232650 | + | 0.972561i | \(0.574740\pi\) | |||||||
\(912\) | −6.12217 | + | 1.33180i | −0.202725 | + | 0.0441002i | ||||
\(913\) | −2.11912 | + | 3.88088i | −0.0701326 | + | 0.128438i | ||||
\(914\) | −2.63535 | + | 18.3293i | −0.0871697 | + | 0.606278i | ||||
\(915\) | −14.7011 | − | 9.63710i | −0.486005 | − | 0.318593i | ||||
\(916\) | 15.1871 | − | 2.18358i | 0.501796 | − | 0.0721474i | ||||
\(917\) | −0.901744 | + | 4.14525i | −0.0297782 | + | 0.136888i | ||||
\(918\) | −0.460018 | + | 0.0329012i | −0.0151829 | + | 0.00108590i | ||||
\(919\) | −22.1615 | −0.731042 | −0.365521 | − | 0.930803i | \(-0.619109\pi\) | ||||
−0.365521 | + | 0.930803i | \(0.619109\pi\) | |||||||
\(920\) | −0.639580 | + | 10.7047i | −0.0210863 | + | 0.352924i | ||||
\(921\) | 22.5497 | 0.743036 | ||||||||
\(922\) | 15.8056 | − | 1.13044i | 0.520531 | − | 0.0372291i | ||||
\(923\) | −0.640162 | + | 2.94278i | −0.0210712 | + | 0.0968627i | ||||
\(924\) | −2.05872 | + | 0.295999i | −0.0677270 | + | 0.00973767i | ||||
\(925\) | 30.8227 | + | 31.9600i | 1.01344 | + | 1.05084i | ||||
\(926\) | −1.82071 | + | 12.6633i | −0.0598322 | + | 0.416142i | ||||
\(927\) | −0.495458 | + | 0.907363i | −0.0162730 | + | 0.0298017i | ||||
\(928\) | −9.35192 | + | 2.03439i | −0.306992 | + | 0.0667820i | ||||
\(929\) | −16.3631 | − | 7.47279i | −0.536856 | − | 0.245174i | 0.128487 | − | 0.991711i | \(-0.458988\pi\) |
−0.665344 | + | 0.746537i | \(0.731715\pi\) | |||||||
\(930\) | −1.70355 | + | 3.05374i | −0.0558617 | + | 0.100136i | ||||
\(931\) | 32.5286 | − | 28.1862i | 1.06608 | − | 0.923766i | ||||
\(932\) | −0.877732 | + | 12.2723i | −0.0287511 | + | 0.401992i | ||||
\(933\) | −9.77516 | + | 5.33764i | −0.320025 | + | 0.174747i | ||||
\(934\) | 7.65516 | − | 16.7625i | 0.250485 | − | 0.548485i | ||||
\(935\) | −5.94342 | − | 0.0538304i | −0.194371 | − | 0.00176044i | ||||
\(936\) | −0.767199 | + | 0.225270i | −0.0250767 | + | 0.00736318i | ||||
\(937\) | 6.90744 | + | 9.22726i | 0.225656 | + | 0.301442i | 0.899053 | − | 0.437840i | \(-0.144256\pi\) |
−0.673397 | + | 0.739281i | \(0.735165\pi\) | |||||||
\(938\) | −3.99411 | − | 1.48973i | −0.130412 | − | 0.0486413i | ||||
\(939\) | −2.85963 | − | 19.8891i | −0.0933204 | − | 0.649058i | ||||
\(940\) | 4.02049 | + | 1.88029i | 0.131134 | + | 0.0613283i | ||||
\(941\) | −28.4956 | − | 24.6916i | −0.928931 | − | 0.804923i | 0.0521264 | − | 0.998640i | \(-0.483400\pi\) |
−0.981057 | + | 0.193717i | \(0.937946\pi\) | |||||||
\(942\) | −14.0001 | + | 14.0001i | −0.456149 | + | 0.456149i | ||||
\(943\) | −19.2970 | − | 0.977643i | −0.628397 | − | 0.0318364i | ||||
\(944\) | 14.3389i | 0.466691i | ||||||||
\(945\) | −0.477709 | − | 0.650339i | −0.0155399 | − | 0.0211555i | ||||
\(946\) | 34.9198 | − | 22.4416i | 1.13534 | − | 0.729639i | ||||
\(947\) | 1.64668 | − | 2.19970i | 0.0535099 | − | 0.0714808i | −0.772988 | − | 0.634421i | \(-0.781239\pi\) |
0.826498 | + | 0.562940i | \(0.190330\pi\) | |||||||
\(948\) | 1.26199 | − | 3.38354i | 0.0409877 | − | 0.109892i | ||||
\(949\) | 12.7911 | + | 1.83908i | 0.415215 | + | 0.0596989i | ||||
\(950\) | −18.3161 | − | 25.4143i | −0.594253 | − | 0.824549i | ||||
\(951\) | −9.94236 | − | 6.38956i | −0.322403 | − | 0.207196i | ||||
\(952\) | 0.155939 | − | 0.0581621i | 0.00505400 | − | 0.00188504i | ||||
\(953\) | 18.3201 | + | 33.5507i | 0.593446 | + | 1.08682i | 0.985946 | + | 0.167063i | \(0.0534284\pi\) |
−0.392500 | + | 0.919752i | \(0.628390\pi\) | |||||||
\(954\) | 1.16108 | + | 1.33996i | 0.0375915 | + | 0.0433829i | ||||
\(955\) | −19.3349 | − | 36.1845i | −0.625662 | − | 1.17090i | ||||
\(956\) | −0.859599 | − | 0.252401i | −0.0278014 | − | 0.00816323i | ||||
\(957\) | 19.2766 | + | 51.6825i | 0.623124 | + | 1.67066i | ||||
\(958\) | 1.70447 | + | 7.83530i | 0.0550688 | + | 0.253147i | ||||
\(959\) | −1.05335 | − | 3.58738i | −0.0340145 | − | 0.115843i | ||||
\(960\) | 0.910437 | + | 2.04233i | 0.0293842 | + | 0.0659159i | ||||
\(961\) | −11.8620 | − | 25.9741i | −0.382644 | − | 0.837874i | ||||
\(962\) | 5.68429 | + | 4.25521i | 0.183269 | + | 0.137193i | ||||
\(963\) | −16.8834 | − | 3.67277i | −0.544061 | − | 0.118353i | ||||
\(964\) | 8.20652 | − | 9.47083i | 0.264314 | − | 0.305035i | ||||
\(965\) | 5.23704 | + | 8.31359i | 0.168586 | + | 0.267624i | ||||
\(966\) | −1.55901 | + | 0.751509i | −0.0501603 | + | 0.0241794i | ||||
\(967\) | −14.2422 | − | 14.2422i | −0.457998 | − | 0.457998i | 0.440000 | − | 0.897998i | \(-0.354979\pi\) |
−0.897998 | + | 0.440000i | \(0.854979\pi\) | |||||||
\(968\) | −1.58501 | − | 22.1613i | −0.0509441 | − | 0.712292i | ||||
\(969\) | −1.56220 | − | 2.43083i | −0.0501852 | − | 0.0780897i | ||||
\(970\) | 2.14720 | + | 0.173130i | 0.0689423 | + | 0.00555887i | ||||
\(971\) | −31.4755 | + | 14.3744i | −1.01010 | + | 0.461296i | −0.850550 | − | 0.525895i | \(-0.823731\pi\) |
−0.159547 | + | 0.987190i | \(0.551003\pi\) | |||||||
\(972\) | 0.800541 | − | 0.599278i | 0.0256774 | − | 0.0192218i | ||||
\(973\) | 0.307596 | + | 0.167960i | 0.00986108 | + | 0.00538456i | ||||
\(974\) | 1.64866 | − | 2.56536i | 0.0528263 | − | 0.0821994i | ||||
\(975\) | −2.56294 | − | 3.06837i | −0.0820797 | − | 0.0982663i | ||||
\(976\) | −2.21477 | + | 7.54283i | −0.0708932 | + | 0.241440i | ||||
\(977\) | 1.75054 | + | 0.125201i | 0.0560046 | + | 0.00400553i | 0.0993134 | − | 0.995056i | \(-0.468335\pi\) |
−0.0433088 | + | 0.999062i | \(0.513790\pi\) | |||||||
\(978\) | 19.1263 | + | 1.36794i | 0.611591 | + | 0.0437418i | ||||
\(979\) | −7.05888 | + | 24.0403i | −0.225603 | + | 0.768332i | ||||
\(980\) | −12.2135 | − | 9.31667i | −0.390145 | − | 0.297610i | ||||
\(981\) | 1.05315 | − | 1.63873i | 0.0336244 | − | 0.0523206i | ||||
\(982\) | −9.41553 | − | 5.14127i | −0.300462 | − | 0.164064i | ||||
\(983\) | −31.0274 | + | 23.2268i | −0.989619 | + | 0.740820i | −0.965904 | − | 0.258899i | \(-0.916640\pi\) |
−0.0237150 | + | 0.999719i | \(0.507549\pi\) | |||||||
\(984\) | −3.66478 | + | 1.67365i | −0.116829 | + | 0.0533540i | ||||
\(985\) | 16.0574 | + | 18.8739i | 0.511631 | + | 0.601373i | ||||
\(986\) | −2.38634 | − | 3.71322i | −0.0759967 | − | 0.118253i | ||||
\(987\) | 0.0511010 | + | 0.714485i | 0.00162656 | + | 0.0227423i | ||||
\(988\) | −3.54239 | − | 3.54239i | −0.112699 | − | 0.112699i | ||||
\(989\) | 22.0716 | − | 26.5679i | 0.701836 | − | 0.844811i | ||||
\(990\) | 10.9044 | − | 6.86907i | 0.346564 | − | 0.218314i | ||||
\(991\) | 1.08344 | − | 1.25036i | 0.0344167 | − | 0.0397190i | −0.738280 | − | 0.674494i | \(-0.764362\pi\) |
0.772697 | + | 0.634775i | \(0.218907\pi\) | |||||||
\(992\) | 1.52807 | + | 0.332411i | 0.0485162 | + | 0.0105541i | ||||
\(993\) | −6.00759 | − | 4.49722i | −0.190645 | − | 0.142715i | ||||
\(994\) | 0.564635 | + | 1.23638i | 0.0179091 | + | 0.0392155i | ||||
\(995\) | 10.3122 | + | 3.95302i | 0.326920 | + | 0.125319i | ||||
\(996\) | 0.216145 | + | 0.736122i | 0.00684881 | + | 0.0233249i | ||||
\(997\) | 0.545801 | + | 2.50901i | 0.0172857 | + | 0.0794610i | 0.984982 | − | 0.172659i | \(-0.0552359\pi\) |
−0.967696 | + | 0.252120i | \(0.918872\pi\) | |||||||
\(998\) | −11.9301 | − | 31.9857i | −0.377640 | − | 1.01249i | ||||
\(999\) | −8.52056 | − | 2.50186i | −0.269579 | − | 0.0791554i |
(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 | 690.2.w.b.7.7 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.1 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.1 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.1 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.1 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.7 | yes | 240 | 115.33 | even | 44 | inner |