Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 164.11 |
Dual form | 164.2.o.b.15.12 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.432514 | + | 1.34645i | 0.305833 | + | 0.952085i | ||||
\(3\) | 0.494050 | − | 1.19274i | 0.285240 | − | 0.688630i | −0.714702 | − | 0.699429i | \(-0.753438\pi\) |
0.999942 | + | 0.0107991i | \(0.00343751\pi\) | |||||||
\(4\) | −1.62586 | + | 1.16472i | −0.812932 | + | 0.582359i | ||||
\(5\) | −1.78033 | + | 3.49410i | −0.796190 | + | 1.56261i | 0.0302218 | + | 0.999543i | \(0.490379\pi\) |
−0.826411 | + | 0.563067i | \(0.809621\pi\) | |||||||
\(6\) | 1.81965 | + | 0.149337i | 0.742871 | + | 0.0609667i | ||||
\(7\) | 0.375912 | + | 1.56578i | 0.142081 | + | 0.591811i | 0.997293 | + | 0.0735319i | \(0.0234271\pi\) |
−0.855212 | + | 0.518279i | \(0.826573\pi\) | |||||||
\(8\) | −2.27144 | − | 1.68539i | −0.803077 | − | 0.595876i | ||||
\(9\) | 0.942771 | + | 0.942771i | 0.314257 | + | 0.314257i | ||||
\(10\) | −5.47466 | − | 0.885887i | −1.73124 | − | 0.280142i | ||||
\(11\) | 2.53026 | − | 2.96255i | 0.762902 | − | 0.893243i | −0.233973 | − | 0.972243i | \(-0.575173\pi\) |
0.996875 | + | 0.0789999i | \(0.0251727\pi\) | |||||||
\(12\) | 0.585949 | + | 2.51467i | 0.169149 | + | 0.725922i | ||||
\(13\) | 1.25641 | + | 2.05027i | 0.348465 | + | 0.568643i | 0.978071 | − | 0.208271i | \(-0.0667837\pi\) |
−0.629606 | + | 0.776914i | \(0.716784\pi\) | |||||||
\(14\) | −1.94567 | + | 1.18337i | −0.520001 | + | 0.316269i | ||||
\(15\) | 3.28799 | + | 3.84974i | 0.848956 | + | 0.993999i | ||||
\(16\) | 1.28687 | − | 3.78734i | 0.321717 | − | 0.946836i | ||||
\(17\) | −0.283888 | − | 3.60714i | −0.0688530 | − | 0.874860i | −0.930250 | − | 0.366927i | \(-0.880410\pi\) |
0.861397 | − | 0.507933i | \(-0.169590\pi\) | |||||||
\(18\) | −0.861634 | + | 1.67716i | −0.203089 | + | 0.395309i | ||||
\(19\) | 3.76422 | + | 2.30672i | 0.863571 | + | 0.529197i | 0.882332 | − | 0.470627i | \(-0.155972\pi\) |
−0.0187614 | + | 0.999824i | \(0.505972\pi\) | |||||||
\(20\) | −1.17506 | − | 7.75452i | −0.262751 | − | 1.73396i | ||||
\(21\) | 2.05330 | + | 0.325210i | 0.448066 | + | 0.0709667i | ||||
\(22\) | 5.08331 | + | 2.12553i | 1.08376 | + | 0.453164i | ||||
\(23\) | −7.12703 | − | 5.17809i | −1.48609 | − | 1.07971i | −0.975530 | − | 0.219865i | \(-0.929438\pi\) |
−0.510559 | − | 0.859843i | \(-0.670562\pi\) | |||||||
\(24\) | −3.13245 | + | 1.87658i | −0.639408 | + | 0.383055i | ||||
\(25\) | −6.10024 | − | 8.39625i | −1.22005 | − | 1.67925i | ||||
\(26\) | −2.21718 | + | 2.57846i | −0.434824 | + | 0.505678i | ||||
\(27\) | 5.16849 | − | 2.14086i | 0.994676 | − | 0.412008i | ||||
\(28\) | −2.43488 | − | 2.10792i | −0.460148 | − | 0.398360i | ||||
\(29\) | 0.227410 | − | 2.88952i | 0.0422290 | − | 0.536571i | −0.939025 | − | 0.343850i | \(-0.888269\pi\) |
0.981254 | − | 0.192721i | \(-0.0617312\pi\) | |||||||
\(30\) | −3.76139 | + | 6.09219i | −0.686733 | + | 1.11228i | ||||
\(31\) | −0.405218 | + | 1.24713i | −0.0727792 | + | 0.223991i | −0.980829 | − | 0.194871i | \(-0.937571\pi\) |
0.908050 | + | 0.418863i | \(0.137571\pi\) | |||||||
\(32\) | 5.65606 | + | 0.0946280i | 0.999860 | + | 0.0167280i | ||||
\(33\) | −2.28349 | − | 4.48160i | −0.397504 | − | 0.780146i | ||||
\(34\) | 4.73405 | − | 1.94238i | 0.811883 | − | 0.333115i | ||||
\(35\) | −6.14026 | − | 1.47415i | −1.03789 | − | 0.249176i | ||||
\(36\) | −2.63088 | − | 0.434756i | −0.438480 | − | 0.0724593i | ||||
\(37\) | 2.54198 | + | 7.82340i | 0.417898 | + | 1.28616i | 0.909633 | + | 0.415413i | \(0.136363\pi\) |
−0.491735 | + | 0.870745i | \(0.663637\pi\) | |||||||
\(38\) | −1.47781 | + | 6.06602i | −0.239732 | + | 0.984039i | ||||
\(39\) | 3.06618 | − | 0.485635i | 0.490981 | − | 0.0777638i | ||||
\(40\) | 9.93286 | − | 4.93610i | 1.57052 | − | 0.780465i | ||||
\(41\) | 3.29581 | + | 5.48977i | 0.514719 | + | 0.857359i | ||||
\(42\) | 0.450199 | + | 2.90532i | 0.0694672 | + | 0.448301i | ||||
\(43\) | 0.293420 | + | 1.85258i | 0.0447461 | + | 0.282516i | 0.999908 | − | 0.0135683i | \(-0.00431906\pi\) |
−0.955162 | + | 0.296084i | \(0.904319\pi\) | |||||||
\(44\) | −0.663321 | + | 7.76374i | −0.0999994 | + | 1.17043i | ||||
\(45\) | −4.97258 | + | 1.61569i | −0.741269 | + | 0.240853i | ||||
\(46\) | 3.88951 | − | 11.8358i | 0.573478 | − | 1.74509i | ||||
\(47\) | 1.22771 | − | 5.11377i | 0.179080 | − | 0.745920i | −0.808460 | − | 0.588551i | \(-0.799699\pi\) |
0.987540 | − | 0.157369i | \(-0.0503013\pi\) | |||||||
\(48\) | −3.88155 | − | 3.40604i | −0.560253 | − | 0.491620i | ||||
\(49\) | 3.92668 | − | 2.00074i | 0.560954 | − | 0.285820i | ||||
\(50\) | 8.66671 | − | 11.8452i | 1.22566 | − | 1.67516i | ||||
\(51\) | −4.44264 | − | 1.44350i | −0.622095 | − | 0.202131i | ||||
\(52\) | −4.43074 | − | 1.87010i | −0.614432 | − | 0.259337i | ||||
\(53\) | 6.09028 | + | 0.479316i | 0.836564 | + | 0.0658391i | 0.489501 | − | 0.872003i | \(-0.337179\pi\) |
0.347063 | + | 0.937842i | \(0.387179\pi\) | |||||||
\(54\) | 5.11800 | + | 6.03317i | 0.696472 | + | 0.821010i | ||||
\(55\) | 5.84676 | + | 14.1153i | 0.788376 | + | 1.90331i | ||||
\(56\) | 1.78510 | − | 4.19015i | 0.238544 | − | 0.559932i | ||||
\(57\) | 4.61103 | − | 3.35011i | 0.610746 | − | 0.443733i | ||||
\(58\) | 3.98896 | − | 0.943561i | 0.523776 | − | 0.123896i | ||||
\(59\) | −0.993826 | + | 1.36788i | −0.129385 | + | 0.178083i | −0.868795 | − | 0.495173i | \(-0.835105\pi\) |
0.739409 | + | 0.673256i | \(0.235105\pi\) | |||||||
\(60\) | −9.82969 | − | 2.42958i | −1.26901 | − | 0.313657i | ||||
\(61\) | 1.07263 | − | 6.77235i | 0.137337 | − | 0.867110i | −0.818776 | − | 0.574113i | \(-0.805347\pi\) |
0.956113 | − | 0.292998i | \(-0.0946528\pi\) | |||||||
\(62\) | −1.85446 | − | 0.00620461i | −0.235517 | − | 0.000787987i | ||||
\(63\) | −1.12178 | + | 1.83057i | −0.141331 | + | 0.230631i | ||||
\(64\) | 2.31891 | + | 7.65654i | 0.289864 | + | 0.957068i | ||||
\(65\) | −9.40068 | + | 0.739850i | −1.16601 | + | 0.0917671i | ||||
\(66\) | 5.04662 | − | 5.01296i | 0.621195 | − | 0.617053i | ||||
\(67\) | −2.97274 | + | 2.53896i | −0.363178 | + | 0.310183i | −0.812247 | − | 0.583314i | \(-0.801756\pi\) |
0.449069 | + | 0.893497i | \(0.351756\pi\) | |||||||
\(68\) | 4.66286 | + | 5.53407i | 0.565455 | + | 0.671104i | ||||
\(69\) | −9.69725 | + | 5.94248i | −1.16741 | + | 0.715391i | ||||
\(70\) | −0.670879 | − | 8.90515i | −0.0801854 | − | 1.06437i | ||||
\(71\) | −3.90056 | − | 3.33139i | −0.462911 | − | 0.395363i | 0.387176 | − | 0.922006i | \(-0.373451\pi\) |
−0.850087 | + | 0.526642i | \(0.823451\pi\) | |||||||
\(72\) | −0.552513 | − | 3.73039i | −0.0651142 | − | 0.439630i | ||||
\(73\) | −4.47705 | + | 4.47705i | −0.523999 | + | 0.523999i | −0.918777 | − | 0.394778i | \(-0.870822\pi\) |
0.394778 | + | 0.918777i | \(0.370822\pi\) | |||||||
\(74\) | −9.43439 | + | 6.80637i | −1.09673 | + | 0.791225i | ||||
\(75\) | −13.0284 | + | 3.12784i | −1.50439 | + | 0.361172i | ||||
\(76\) | −8.80678 | + | 0.633843i | −1.01021 | + | 0.0727068i | ||||
\(77\) | 5.58987 | + | 2.84818i | 0.637025 | + | 0.324580i | ||||
\(78\) | 1.98005 | + | 3.91841i | 0.224196 | + | 0.443673i | ||||
\(79\) | −10.4382 | − | 4.32365i | −1.17439 | − | 0.486449i | −0.291749 | − | 0.956495i | \(-0.594237\pi\) |
−0.882642 | + | 0.470046i | \(0.844237\pi\) | |||||||
\(80\) | 10.9423 | + | 11.2392i | 1.22339 | + | 1.25658i | ||||
\(81\) | − | 3.22253i | − | 0.358059i | ||||||
\(82\) | −5.96623 | + | 6.81205i | −0.658860 | + | 0.752265i | ||||
\(83\) | − | 5.70674i | − | 0.626396i | −0.949688 | − | 0.313198i | \(-0.898600\pi\) | ||
0.949688 | − | 0.313198i | \(-0.101400\pi\) | |||||||
\(84\) | −3.71716 | + | 1.86276i | −0.405575 | + | 0.203244i | ||||
\(85\) | 13.1091 | + | 5.42998i | 1.42188 | + | 0.588964i | ||||
\(86\) | −2.36750 | + | 1.19634i | −0.255294 | + | 0.129005i | ||||
\(87\) | −3.33411 | − | 1.69881i | −0.357454 | − | 0.182132i | ||||
\(88\) | −10.7404 | + | 2.46479i | −1.14493 | + | 0.262748i | ||||
\(89\) | −3.03272 | + | 0.728092i | −0.321468 | + | 0.0771776i | −0.390968 | − | 0.920404i | \(-0.627860\pi\) |
0.0695000 | + | 0.997582i | \(0.477860\pi\) | |||||||
\(90\) | −4.32616 | − | 5.99653i | −0.456017 | − | 0.632090i | ||||
\(91\) | −2.73798 | + | 2.73798i | −0.287019 | + | 0.287019i | ||||
\(92\) | 17.6186 | + | 0.117897i | 1.83687 | + | 0.0122916i | ||||
\(93\) | 1.28731 | + | 1.09947i | 0.133488 | + | 0.114009i | ||||
\(94\) | 7.41645 | − | 0.558726i | 0.764948 | − | 0.0576282i | ||||
\(95\) | −14.7615 | + | 9.04584i | −1.51449 | + | 0.928083i | ||||
\(96\) | 2.90725 | − | 6.69948i | 0.296720 | − | 0.683763i | ||||
\(97\) | 3.39718 | − | 2.90147i | 0.344932 | − | 0.294599i | −0.460057 | − | 0.887889i | \(-0.652171\pi\) |
0.804989 | + | 0.593290i | \(0.202171\pi\) | |||||||
\(98\) | 4.39224 | + | 4.42173i | 0.443683 | + | 0.446662i | ||||
\(99\) | 5.17846 | − | 0.407554i | 0.520455 | − | 0.0409607i | ||||
\(100\) | 19.6974 | + | 6.54612i | 1.96974 | + | 0.654612i | ||||
\(101\) | 0.0466300 | − | 0.0760932i | 0.00463986 | − | 0.00757156i | −0.850312 | − | 0.526279i | \(-0.823587\pi\) |
0.854952 | + | 0.518708i | \(0.173587\pi\) | |||||||
\(102\) | 0.0221026 | − | 6.60614i | 0.00218849 | − | 0.654105i | ||||
\(103\) | 2.49141 | − | 15.7301i | 0.245486 | − | 1.54994i | −0.489592 | − | 0.871952i | \(-0.662854\pi\) |
0.735077 | − | 0.677983i | \(-0.237146\pi\) | |||||||
\(104\) | 0.601650 | − | 6.77462i | 0.0589966 | − | 0.664306i | ||||
\(105\) | −4.79187 | + | 6.59545i | −0.467639 | + | 0.643650i | ||||
\(106\) | 1.98875 | + | 8.40758i | 0.193165 | + | 0.816616i | ||||
\(107\) | −13.9324 | + | 10.1225i | −1.34690 | + | 0.978578i | −0.347738 | + | 0.937592i | \(0.613050\pi\) |
−0.999160 | + | 0.0409865i | \(0.986950\pi\) | |||||||
\(108\) | −5.90976 | + | 9.50057i | −0.568667 | + | 0.914193i | ||||
\(109\) | −4.95409 | − | 11.9602i | −0.474515 | − | 1.14558i | −0.962147 | − | 0.272532i | \(-0.912139\pi\) |
0.487631 | − | 0.873050i | \(-0.337861\pi\) | |||||||
\(110\) | −16.4768 | + | 13.9774i | −1.57100 | + | 1.33270i | ||||
\(111\) | 10.5872 | + | 0.833228i | 1.00489 | + | 0.0790865i | ||||
\(112\) | 6.41391 | + | 0.591251i | 0.606058 | + | 0.0558680i | ||||
\(113\) | −11.7074 | − | 3.80397i | −1.10134 | − | 0.357848i | −0.298723 | − | 0.954340i | \(-0.596561\pi\) |
−0.802619 | + | 0.596492i | \(0.796561\pi\) | |||||||
\(114\) | 6.50510 | + | 4.75956i | 0.609258 | + | 0.445774i | ||||
\(115\) | 30.7813 | − | 15.6839i | 2.87037 | − | 1.46253i | ||||
\(116\) | 2.99574 | + | 4.96284i | 0.278147 | + | 0.460788i | ||||
\(117\) | −0.748431 | + | 3.11744i | −0.0691925 | + | 0.288207i | ||||
\(118\) | −2.27163 | − | 0.746510i | −0.209121 | − | 0.0687218i | ||||
\(119\) | 5.54128 | − | 1.80047i | 0.507969 | − | 0.165049i | ||||
\(120\) | −0.980163 | − | 14.2860i | −0.0894762 | − | 1.30413i | ||||
\(121\) | −0.653728 | − | 4.12748i | −0.0594298 | − | 0.375225i | ||||
\(122\) | 9.58257 | − | 1.48488i | 0.867565 | − | 0.134435i | ||||
\(123\) | 8.17619 | − | 1.21883i | 0.737222 | − | 0.109898i | ||||
\(124\) | −0.793727 | − | 2.49963i | −0.0712788 | − | 0.224473i | ||||
\(125\) | 20.8316 | − | 3.29940i | 1.86324 | − | 0.295108i | ||||
\(126\) | −2.94996 | − | 0.718670i | −0.262804 | − | 0.0640243i | ||||
\(127\) | −2.59457 | − | 7.98526i | −0.230231 | − | 0.708577i | −0.997718 | − | 0.0675136i | \(-0.978493\pi\) |
0.767488 | − | 0.641064i | \(-0.221507\pi\) | |||||||
\(128\) | −9.30620 | + | 6.43386i | −0.822560 | + | 0.568678i | ||||
\(129\) | 2.35462 | + | 0.565294i | 0.207312 | + | 0.0497713i | ||||
\(130\) | −5.06210 | − | 12.3376i | −0.443975 | − | 1.08208i | ||||
\(131\) | 3.19181 | + | 6.26428i | 0.278870 | + | 0.547313i | 0.987376 | − | 0.158391i | \(-0.0506308\pi\) |
−0.708507 | + | 0.705704i | \(0.750631\pi\) | |||||||
\(132\) | 8.93244 | + | 4.62685i | 0.777469 | + | 0.402716i | ||||
\(133\) | −2.19681 | + | 6.76107i | −0.190487 | + | 0.586259i | ||||
\(134\) | −4.70433 | − | 2.90451i | −0.406393 | − | 0.250912i | ||||
\(135\) | −1.72126 | + | 21.8707i | −0.148142 | + | 1.88233i | ||||
\(136\) | −5.43461 | + | 8.67188i | −0.466014 | + | 0.743607i | ||||
\(137\) | −20.2438 | + | 8.38526i | −1.72955 | + | 0.716401i | −0.730092 | + | 0.683349i | \(0.760523\pi\) |
−0.999454 | + | 0.0330528i | \(0.989477\pi\) | |||||||
\(138\) | −12.1955 | − | 10.4867i | −1.03815 | − | 0.892685i | ||||
\(139\) | 3.29325 | + | 4.53277i | 0.279330 | + | 0.384465i | 0.925512 | − | 0.378719i | \(-0.123635\pi\) |
−0.646182 | + | 0.763183i | \(0.723635\pi\) | |||||||
\(140\) | 11.7002 | − | 4.75490i | 0.988846 | − | 0.401863i | ||||
\(141\) | −5.49287 | − | 3.99080i | −0.462583 | − | 0.336086i | ||||
\(142\) | 2.79851 | − | 6.69279i | 0.234846 | − | 0.561646i | ||||
\(143\) | 9.25308 | + | 1.46554i | 0.773781 | + | 0.122555i | ||||
\(144\) | 4.78382 | − | 2.35737i | 0.398651 | − | 0.196448i | ||||
\(145\) | 9.69142 | + | 5.93891i | 0.804829 | + | 0.493200i | ||||
\(146\) | −7.96451 | − | 4.09174i | −0.659147 | − | 0.338635i | ||||
\(147\) | −0.446395 | − | 5.67198i | −0.0368180 | − | 0.467817i | ||||
\(148\) | −13.2450 | − | 9.75910i | −1.08873 | − | 0.802193i | ||||
\(149\) | 0.670656 | + | 0.785238i | 0.0549423 | + | 0.0643292i | 0.787197 | − | 0.616702i | \(-0.211532\pi\) |
−0.732254 | + | 0.681031i | \(0.761532\pi\) | |||||||
\(150\) | −9.84644 | − | 16.1893i | −0.803959 | − | 1.32185i | ||||
\(151\) | 12.3430 | + | 20.1419i | 1.00446 | + | 1.63912i | 0.737417 | + | 0.675438i | \(0.236045\pi\) |
0.267039 | + | 0.963686i | \(0.413955\pi\) | |||||||
\(152\) | −4.66249 | − | 11.5838i | −0.378178 | − | 0.939567i | ||||
\(153\) | 3.13306 | − | 3.66835i | 0.253293 | − | 0.296568i | ||||
\(154\) | −1.41724 | + | 8.75837i | −0.114205 | + | 0.705769i | ||||
\(155\) | −3.63618 | − | 3.63618i | −0.292065 | − | 0.292065i | ||||
\(156\) | −4.41956 | + | 4.36080i | −0.353848 | + | 0.349144i | ||||
\(157\) | −2.19876 | − | 9.15849i | −0.175480 | − | 0.730927i | −0.988817 | − | 0.149134i | \(-0.952351\pi\) |
0.813337 | − | 0.581793i | \(-0.197649\pi\) | |||||||
\(158\) | 1.30692 | − | 15.9246i | 0.103973 | − | 1.26689i | ||||
\(159\) | 3.58061 | − | 7.02733i | 0.283960 | − | 0.557304i | ||||
\(160\) | −10.4003 | + | 19.5944i | −0.822218 | + | 1.54907i | ||||
\(161\) | 5.42864 | − | 13.1059i | 0.427837 | − | 1.03289i | ||||
\(162\) | 4.33898 | − | 1.39379i | 0.340903 | − | 0.109506i | ||||
\(163\) | −16.5098 | −1.29315 | −0.646575 | − | 0.762850i | \(-0.723799\pi\) | ||||
−0.646575 | + | 0.762850i | \(0.723799\pi\) | |||||||
\(164\) | −11.7526 | − | 5.08694i | −0.917722 | − | 0.397223i | ||||
\(165\) | 19.7245 | 1.53555 | ||||||||
\(166\) | 7.68385 | − | 2.46824i | 0.596383 | − | 0.191573i | ||||
\(167\) | 6.07046 | − | 14.6554i | 0.469746 | − | 1.13407i | −0.494528 | − | 0.869162i | \(-0.664659\pi\) |
0.964274 | − | 0.264906i | \(-0.0853410\pi\) | |||||||
\(168\) | −4.11584 | − | 4.19931i | −0.317544 | − | 0.323983i | ||||
\(169\) | 3.27682 | − | 6.43113i | 0.252063 | − | 0.494702i | ||||
\(170\) | −1.64133 | + | 19.9993i | −0.125884 | + | 1.53388i | ||||
\(171\) | 1.37409 | + | 5.72350i | 0.105079 | + | 0.437687i | ||||
\(172\) | −2.63479 | − | 2.67029i | −0.200901 | − | 0.203608i | ||||
\(173\) | 2.09453 | + | 2.09453i | 0.159244 | + | 0.159244i | 0.782232 | − | 0.622988i | \(-0.214081\pi\) |
−0.622988 | + | 0.782232i | \(0.714081\pi\) | |||||||
\(174\) | 0.845322 | − | 5.22397i | 0.0640837 | − | 0.396028i | ||||
\(175\) | 10.8536 | − | 12.7079i | 0.820453 | − | 0.960627i | ||||
\(176\) | −7.96410 | − | 13.3954i | −0.600316 | − | 1.00971i | ||||
\(177\) | 1.14053 | + | 1.86118i | 0.0857278 | + | 0.139895i | ||||
\(178\) | −2.29203 | − | 3.76850i | −0.171795 | − | 0.282461i | ||||
\(179\) | 1.37827 | + | 1.61375i | 0.103017 | + | 0.120617i | 0.809519 | − | 0.587094i | \(-0.199728\pi\) |
−0.706502 | + | 0.707711i | \(0.749728\pi\) | |||||||
\(180\) | 6.20292 | − | 8.41855i | 0.462339 | − | 0.627481i | ||||
\(181\) | 0.335663 | + | 4.26501i | 0.0249497 | + | 0.317015i | 0.996710 | + | 0.0810467i | \(0.0258263\pi\) |
−0.971761 | + | 0.235969i | \(0.924174\pi\) | |||||||
\(182\) | −4.87078 | − | 2.50235i | −0.361046 | − | 0.185486i | ||||
\(183\) | −7.54773 | − | 4.62526i | −0.557945 | − | 0.341909i | ||||
\(184\) | 7.46154 | + | 23.7736i | 0.550072 | + | 1.75261i | ||||
\(185\) | −31.8613 | − | 5.04634i | −2.34249 | − | 0.371014i | ||||
\(186\) | −0.923599 | + | 2.20883i | −0.0677216 | + | 0.161960i | ||||
\(187\) | −11.4046 | − | 8.28596i | −0.833991 | − | 0.605930i | ||||
\(188\) | 3.96001 | + | 9.74423i | 0.288814 | + | 0.710671i | ||||
\(189\) | 5.29501 | + | 7.28796i | 0.385156 | + | 0.530121i | ||||
\(190\) | −18.5643 | − | 15.9632i | −1.34680 | − | 1.15809i | ||||
\(191\) | 15.9499 | − | 6.60668i | 1.15410 | − | 0.478043i | 0.278192 | − | 0.960526i | \(-0.410265\pi\) |
0.875905 | + | 0.482483i | \(0.160265\pi\) | |||||||
\(192\) | 10.2779 | + | 1.01685i | 0.741747 | + | 0.0733849i | ||||
\(193\) | −0.282558 | + | 3.59024i | −0.0203389 | + | 0.258431i | 0.978338 | + | 0.207013i | \(0.0663741\pi\) |
−0.998677 | + | 0.0514182i | \(0.983626\pi\) | |||||||
\(194\) | 5.37601 | + | 3.31922i | 0.385975 | + | 0.238306i | ||||
\(195\) | −3.76196 | + | 11.5781i | −0.269400 | + | 0.829127i | ||||
\(196\) | −4.05394 | + | 7.82640i | −0.289567 | + | 0.559028i | ||||
\(197\) | 6.03924 | + | 11.8527i | 0.430278 | + | 0.844468i | 0.999748 | + | 0.0224559i | \(0.00714855\pi\) |
−0.569470 | + | 0.822012i | \(0.692851\pi\) | |||||||
\(198\) | 2.78851 | + | 6.79627i | 0.198170 | + | 0.482990i | ||||
\(199\) | −2.14566 | − | 0.515128i | −0.152102 | − | 0.0365164i | 0.156679 | − | 0.987650i | \(-0.449921\pi\) |
−0.308781 | + | 0.951133i | \(0.599921\pi\) | |||||||
\(200\) | −0.294633 | + | 29.3529i | −0.0208337 | + | 2.07556i | ||||
\(201\) | 1.55964 | + | 4.80009i | 0.110009 | + | 0.338572i | ||||
\(202\) | 0.122624 | + | 0.0298737i | 0.00862779 | + | 0.00210190i | ||||
\(203\) | 4.60985 | − | 0.730129i | 0.323548 | − | 0.0512450i | ||||
\(204\) | 8.90441 | − | 2.82748i | 0.623433 | − | 0.197964i | ||||
\(205\) | −25.0495 | + | 1.74227i | −1.74953 | + | 0.121686i | ||||
\(206\) | 22.2574 | − | 3.44893i | 1.55075 | − | 0.240299i | ||||
\(207\) | −1.83740 | − | 11.6009i | −0.127708 | − | 0.806319i | ||||
\(208\) | 9.38191 | − | 2.12002i | 0.650519 | − | 0.146997i | ||||
\(209\) | 16.3582 | − | 5.31511i | 1.13152 | − | 0.367654i | ||||
\(210\) | −10.9530 | − | 3.59940i | −0.755829 | − | 0.248383i | ||||
\(211\) | 1.24563 | − | 5.18844i | 0.0857530 | − | 0.357187i | −0.912952 | − | 0.408068i | \(-0.866203\pi\) |
0.998705 | + | 0.0508806i | \(0.0162028\pi\) | |||||||
\(212\) | −10.4602 | + | 6.31415i | −0.718412 | + | 0.433658i | ||||
\(213\) | −5.90057 | + | 3.00649i | −0.404300 | + | 0.206001i | ||||
\(214\) | −19.6554 | − | 14.3812i | −1.34362 | − | 0.983079i | ||||
\(215\) | −6.99549 | − | 2.27297i | −0.477089 | − | 0.155016i | ||||
\(216\) | −15.3481 | − | 3.84809i | −1.04431 | − | 0.261829i | ||||
\(217\) | −2.10506 | − | 0.165672i | −0.142901 | − | 0.0112466i | ||||
\(218\) | 13.9612 | − | 11.8434i | 0.945568 | − | 0.802136i | ||||
\(219\) | 3.12808 | + | 7.55185i | 0.211376 | + | 0.510307i | ||||
\(220\) | −25.9464 | − | 16.1398i | −1.74930 | − | 1.08814i | ||||
\(221\) | 7.03894 | − | 5.11409i | 0.473490 | − | 0.344011i | ||||
\(222\) | 3.45719 | + | 14.6155i | 0.232031 | + | 0.980927i | ||||
\(223\) | −5.95110 | + | 8.19099i | −0.398515 | + | 0.548509i | −0.960371 | − | 0.278726i | \(-0.910088\pi\) |
0.561855 | + | 0.827235i | \(0.310088\pi\) | |||||||
\(224\) | 1.97801 | + | 8.89175i | 0.132161 | + | 0.594105i | ||||
\(225\) | 2.16462 | − | 13.6669i | 0.144308 | − | 0.911124i | ||||
\(226\) | 0.0582457 | − | 17.4088i | 0.00387445 | − | 1.15801i | ||||
\(227\) | 4.81424 | − | 7.85612i | 0.319532 | − | 0.521429i | −0.652036 | − | 0.758188i | \(-0.726085\pi\) |
0.971568 | + | 0.236759i | \(0.0760851\pi\) | |||||||
\(228\) | −3.59498 | + | 10.8174i | −0.238083 | + | 0.716398i | ||||
\(229\) | 18.0157 | − | 1.41787i | 1.19051 | − | 0.0936952i | 0.532317 | − | 0.846545i | \(-0.321321\pi\) |
0.658193 | + | 0.752850i | \(0.271321\pi\) | |||||||
\(230\) | 34.4309 | + | 34.6620i | 2.27030 | + | 2.28555i | ||||
\(231\) | 6.15883 | − | 5.26013i | 0.405221 | − | 0.346091i | ||||
\(232\) | −5.38653 | + | 6.18011i | −0.353643 | + | 0.405744i | ||||
\(233\) | 11.4256 | − | 7.00161i | 0.748515 | − | 0.458691i | −0.0952161 | − | 0.995457i | \(-0.530354\pi\) |
0.843731 | + | 0.536766i | \(0.180354\pi\) | |||||||
\(234\) | −4.52119 | + | 0.340609i | −0.295559 | + | 0.0222663i | ||||
\(235\) | 15.6823 | + | 13.3940i | 1.02300 | + | 0.873726i | ||||
\(236\) | 0.0226278 | − | 3.38152i | 0.00147295 | − | 0.220118i | ||||
\(237\) | −10.3140 | + | 10.3140i | −0.669967 | + | 0.669967i | ||||
\(238\) | 4.82093 | + | 6.68234i | 0.312494 | + | 0.433152i | ||||
\(239\) | −23.4350 | + | 5.62624i | −1.51588 | + | 0.363931i | −0.904178 | − | 0.427156i | \(-0.859516\pi\) |
−0.611704 | + | 0.791087i | \(0.709516\pi\) | |||||||
\(240\) | 18.8115 | − | 7.49864i | 1.21428 | − | 0.484035i | ||||
\(241\) | 10.5482 | + | 5.37456i | 0.679468 | + | 0.346206i | 0.759427 | − | 0.650592i | \(-0.225479\pi\) |
−0.0799598 | + | 0.996798i | \(0.525479\pi\) | |||||||
\(242\) | 5.27470 | − | 2.66540i | 0.339071 | − | 0.171339i | ||||
\(243\) | 11.6618 | + | 4.83048i | 0.748106 | + | 0.309875i | ||||
\(244\) | 6.14391 | + | 12.2602i | 0.393324 | + | 0.784881i | ||||
\(245\) | 17.2822i | 1.10412i | ||||||||
\(246\) | 5.17741 | + | 10.4817i | 0.330100 | + | 0.668287i | ||||
\(247\) | 10.6158i | 0.675470i | ||||||||
\(248\) | 3.02233 | − | 2.14984i | 0.191918 | − | 0.136515i | ||||
\(249\) | −6.80668 | − | 2.81942i | −0.431356 | − | 0.178673i | ||||
\(250\) | 13.4524 | + | 26.6217i | 0.850807 | + | 1.68371i | ||||
\(251\) | 27.2469 | + | 13.8830i | 1.71981 | + | 0.876288i | 0.978806 | + | 0.204789i | \(0.0656509\pi\) |
0.741006 | + | 0.671499i | \(0.234349\pi\) | |||||||
\(252\) | −0.308244 | − | 4.28282i | −0.0194175 | − | 0.269792i | ||||
\(253\) | −33.3736 | + | 8.01230i | −2.09818 | + | 0.503729i | ||||
\(254\) | 9.62958 | − | 6.94719i | 0.604214 | − | 0.435906i | ||||
\(255\) | 12.9531 | − | 12.9531i | 0.811157 | − | 0.811157i | ||||
\(256\) | −12.6879 | − | 9.74762i | −0.792996 | − | 0.609226i | ||||
\(257\) | −7.32401 | − | 6.25529i | −0.456859 | − | 0.390194i | 0.391022 | − | 0.920381i | \(-0.372122\pi\) |
−0.847881 | + | 0.530187i | \(0.822122\pi\) | |||||||
\(258\) | 0.257263 | + | 3.41488i | 0.0160165 | + | 0.212601i | ||||
\(259\) | −11.2942 | + | 6.92109i | −0.701787 | + | 0.430056i | ||||
\(260\) | 14.4225 | − | 12.1520i | 0.894447 | − | 0.753637i | ||||
\(261\) | 2.93855 | − | 2.50976i | 0.181892 | − | 0.155350i | ||||
\(262\) | −7.05405 | + | 7.00700i | −0.435801 | + | 0.432894i | ||||
\(263\) | −20.5805 | + | 1.61972i | −1.26905 | + | 0.0998764i | −0.695039 | − | 0.718972i | \(-0.744613\pi\) |
−0.574010 | + | 0.818848i | \(0.694613\pi\) | |||||||
\(264\) | −2.36643 | + | 14.0283i | −0.145644 | + | 0.863380i | ||||
\(265\) | −12.5175 | + | 20.4267i | −0.768945 | + | 1.25480i | ||||
\(266\) | −10.0536 | − | 0.0336371i | −0.616426 | − | 0.00206242i | ||||
\(267\) | −0.629890 | + | 3.97697i | −0.0385487 | + | 0.243387i | ||||
\(268\) | 1.87610 | − | 7.59040i | 0.114601 | − | 0.463657i | ||||
\(269\) | 0.0892852 | − | 0.122891i | 0.00544381 | − | 0.00749277i | −0.806286 | − | 0.591525i | \(-0.798526\pi\) |
0.811730 | + | 0.584033i | \(0.198526\pi\) | |||||||
\(270\) | −30.1923 | + | 7.14177i | −1.83744 | + | 0.434634i | ||||
\(271\) | 1.37994 | − | 1.00259i | 0.0838254 | − | 0.0609027i | −0.545083 | − | 0.838382i | \(-0.683502\pi\) |
0.628909 | + | 0.777479i | \(0.283502\pi\) | |||||||
\(272\) | −14.0268 | − | 3.56673i | −0.850500 | − | 0.216265i | ||||
\(273\) | 1.91301 | + | 4.61841i | 0.115781 | + | 0.279519i | ||||
\(274\) | −20.0461 | − | 23.6306i | −1.21103 | − | 1.42758i | ||||
\(275\) | −40.3095 | − | 3.17243i | −2.43076 | − | 0.191305i | ||||
\(276\) | 8.84510 | − | 20.9562i | 0.532412 | − | 1.26142i | ||||
\(277\) | 10.8279 | + | 3.51821i | 0.650588 | + | 0.211389i | 0.615673 | − | 0.788002i | \(-0.288884\pi\) |
0.0349144 | + | 0.999390i | \(0.488884\pi\) | |||||||
\(278\) | −4.67878 | + | 6.39469i | −0.280615 | + | 0.383528i | ||||
\(279\) | −1.55779 | + | 0.793731i | −0.0932622 | + | 0.0475195i | ||||
\(280\) | 11.4627 | + | 13.6972i | 0.685030 | + | 0.818563i | ||||
\(281\) | 6.31201 | − | 26.2914i | 0.376543 | − | 1.56841i | −0.386639 | − | 0.922231i | \(-0.626364\pi\) |
0.763182 | − | 0.646184i | \(-0.223636\pi\) | |||||||
\(282\) | 2.99768 | − | 9.12195i | 0.178509 | − | 0.543204i | ||||
\(283\) | −10.5423 | + | 3.42540i | −0.626674 | + | 0.203619i | −0.605101 | − | 0.796149i | \(-0.706867\pi\) |
−0.0215728 | + | 0.999767i | \(0.506867\pi\) | |||||||
\(284\) | 10.2219 | + | 0.873343i | 0.606559 | + | 0.0518233i | ||||
\(285\) | 3.49645 | + | 22.0757i | 0.207112 | + | 1.30765i | ||||
\(286\) | 2.02880 | + | 13.0927i | 0.119965 | + | 0.774187i | ||||
\(287\) | −7.35687 | + | 7.22420i | −0.434262 | + | 0.426431i | ||||
\(288\) | 5.24316 | + | 5.42158i | 0.308956 | + | 0.319470i | ||||
\(289\) | 3.85984 | − | 0.611339i | 0.227050 | − | 0.0359611i | ||||
\(290\) | −3.80478 | + | 15.6177i | −0.223425 | + | 0.917102i | ||||
\(291\) | −1.78233 | − | 5.48544i | −0.104482 | − | 0.321562i | ||||
\(292\) | 2.06458 | − | 12.4936i | 0.120820 | − | 0.731130i | ||||
\(293\) | −10.8802 | − | 2.61210i | −0.635627 | − | 0.152601i | −0.0971894 | − | 0.995266i | \(-0.530985\pi\) |
−0.538438 | + | 0.842665i | \(0.680985\pi\) | |||||||
\(294\) | 7.44398 | − | 3.05426i | 0.434141 | − | 0.178128i | ||||
\(295\) | −3.01018 | − | 5.90782i | −0.175260 | − | 0.343967i | ||||
\(296\) | 7.41153 | − | 22.0546i | 0.430786 | − | 1.28190i | ||||
\(297\) | 6.73521 | − | 20.7288i | 0.390816 | − | 1.20281i | ||||
\(298\) | −0.767217 | + | 1.24263i | −0.0444437 | + | 0.0719838i | ||||
\(299\) | 1.66203 | − | 21.1182i | 0.0961180 | − | 1.22129i | ||||
\(300\) | 17.5393 | − | 20.2598i | 1.01263 | − | 1.16970i | ||||
\(301\) | −2.79044 | + | 1.15584i | −0.160838 | + | 0.0666215i | ||||
\(302\) | −21.7816 | + | 25.3308i | −1.25339 | + | 1.45763i | ||||
\(303\) | −0.0677221 | − | 0.0932115i | −0.00389053 | − | 0.00535486i | ||||
\(304\) | 13.5804 | − | 11.2879i | 0.778888 | − | 0.647408i | ||||
\(305\) | 21.7536 | + | 15.8049i | 1.24561 | + | 0.904988i | ||||
\(306\) | 6.29434 | + | 2.63191i | 0.359824 | + | 0.150456i | ||||
\(307\) | −16.9365 | − | 2.68247i | −0.966616 | − | 0.153097i | −0.346882 | − | 0.937909i | \(-0.612759\pi\) |
−0.619734 | + | 0.784812i | \(0.712759\pi\) | |||||||
\(308\) | −12.4057 | + | 1.87986i | −0.706880 | + | 0.107115i | ||||
\(309\) | −17.5311 | − | 10.7431i | −0.997310 | − | 0.611152i | ||||
\(310\) | 3.32325 | − | 6.46864i | 0.188748 | − | 0.367394i | ||||
\(311\) | 2.27656 | + | 28.9265i | 0.129092 | + | 1.64027i | 0.631311 | + | 0.775530i | \(0.282517\pi\) |
−0.502219 | + | 0.864740i | \(0.667483\pi\) | |||||||
\(312\) | −7.78313 | − | 4.06461i | −0.440633 | − | 0.230113i | ||||
\(313\) | −7.98316 | − | 9.34708i | −0.451235 | − | 0.528328i | 0.487429 | − | 0.873163i | \(-0.337935\pi\) |
−0.938663 | + | 0.344835i | \(0.887935\pi\) | |||||||
\(314\) | 11.3805 | − | 6.92169i | 0.642237 | − | 0.390614i | ||||
\(315\) | −4.39907 | − | 7.17864i | −0.247860 | − | 0.404470i | ||||
\(316\) | 22.0070 | − | 5.12790i | 1.23799 | − | 0.288467i | ||||
\(317\) | 12.5374 | − | 14.6794i | 0.704169 | − | 0.824476i | −0.286881 | − | 0.957966i | \(-0.592618\pi\) |
0.991050 | + | 0.133490i | \(0.0426184\pi\) | |||||||
\(318\) | 11.0106 | + | 1.78169i | 0.617445 | + | 0.0999125i | ||||
\(319\) | −7.98496 | − | 7.98496i | −0.447072 | − | 0.447072i | ||||
\(320\) | −30.8812 | − | 5.52869i | −1.72631 | − | 0.309063i | ||||
\(321\) | 5.19022 | + | 21.6188i | 0.289690 | + | 1.20664i | ||||
\(322\) | 19.9944 | + | 1.64092i | 1.11425 | + | 0.0914451i | ||||
\(323\) | 7.25203 | − | 14.2329i | 0.403514 | − | 0.791940i | ||||
\(324\) | 3.75334 | + | 5.23940i | 0.208519 | + | 0.291078i | ||||
\(325\) | 9.55022 | − | 23.0563i | 0.529751 | − | 1.27893i | ||||
\(326\) | −7.14073 | − | 22.2297i | −0.395489 | − | 1.23119i | ||||
\(327\) | −16.7130 | −0.924233 | ||||||||
\(328\) | 1.76617 | − | 18.0244i | 0.0975203 | − | 0.995234i | ||||
\(329\) | 8.46857 | 0.466888 | ||||||||
\(330\) | 8.53113 | + | 26.5581i | 0.469623 | + | 1.46198i | ||||
\(331\) | −5.53147 | + | 13.3542i | −0.304037 | + | 0.734011i | 0.695838 | + | 0.718199i | \(0.255033\pi\) |
−0.999875 | + | 0.0158118i | \(0.994967\pi\) | |||||||
\(332\) | 6.64674 | + | 9.27839i | 0.364787 | + | 0.509218i | ||||
\(333\) | −4.97917 | + | 9.77217i | −0.272857 | + | 0.535511i | ||||
\(334\) | 22.3583 | + | 1.83493i | 1.22339 | + | 0.100403i | ||||
\(335\) | −3.57891 | − | 14.9072i | −0.195537 | − | 0.814470i | ||||
\(336\) | 3.87401 | − | 7.35804i | 0.211344 | − | 0.401414i | ||||
\(337\) | 6.41473 | + | 6.41473i | 0.349433 | + | 0.349433i | 0.859898 | − | 0.510466i | \(-0.170527\pi\) |
−0.510466 | + | 0.859898i | \(0.670527\pi\) | |||||||
\(338\) | 10.0765 | + | 1.63053i | 0.548088 | + | 0.0886894i | ||||
\(339\) | −10.3212 | + | 12.0846i | −0.560572 | + | 0.656345i | ||||
\(340\) | −27.6381 | + | 6.44002i | −1.49888 | + | 0.349259i | ||||
\(341\) | 2.66939 | + | 4.35604i | 0.144555 | + | 0.235893i | ||||
\(342\) | −7.11210 | + | 4.32564i | −0.384578 | + | 0.233904i | ||||
\(343\) | 11.9293 | + | 13.9675i | 0.644124 | + | 0.754172i | ||||
\(344\) | 2.45584 | − | 4.70256i | 0.132410 | − | 0.253545i | ||||
\(345\) | −3.49930 | − | 44.4628i | −0.188396 | − | 2.39380i | ||||
\(346\) | −1.91427 | + | 3.72609i | −0.102912 | + | 0.200316i | ||||
\(347\) | −19.1340 | − | 11.7253i | −1.02717 | − | 0.629449i | −0.0965065 | − | 0.995332i | \(-0.530767\pi\) |
−0.930661 | + | 0.365884i | \(0.880767\pi\) | |||||||
\(348\) | 7.39944 | − | 1.12125i | 0.396651 | − | 0.0601055i | ||||
\(349\) | −12.0371 | − | 1.90649i | −0.644331 | − | 0.102052i | −0.174287 | − | 0.984695i | \(-0.555762\pi\) |
−0.470044 | + | 0.882643i | \(0.655762\pi\) | |||||||
\(350\) | 21.8049 | + | 9.11747i | 1.16552 | + | 0.487349i | ||||
\(351\) | 10.8831 | + | 7.90701i | 0.580895 | + | 0.422045i | ||||
\(352\) | 14.5916 | − | 16.5169i | 0.777737 | − | 0.880356i | ||||
\(353\) | 10.2044 | + | 14.0451i | 0.543123 | + | 0.747545i | 0.989059 | − | 0.147520i | \(-0.0471290\pi\) |
−0.445936 | + | 0.895065i | \(0.647129\pi\) | |||||||
\(354\) | −2.01270 | + | 2.34066i | −0.106974 | + | 0.124405i | ||||
\(355\) | 18.5845 | − | 7.69796i | 0.986364 | − | 0.408565i | ||||
\(356\) | 4.08277 | − | 4.71604i | 0.216386 | − | 0.249950i | ||||
\(357\) | 0.590172 | − | 7.49885i | 0.0312352 | − | 0.396881i | ||||
\(358\) | −1.57672 | + | 2.55375i | −0.0833320 | + | 0.134970i | ||||
\(359\) | 5.64994 | − | 17.3887i | 0.298192 | − | 0.917741i | −0.683938 | − | 0.729540i | \(-0.739734\pi\) |
0.982130 | − | 0.188201i | \(-0.0602658\pi\) | |||||||
\(360\) | 14.0180 | + | 4.71080i | 0.738814 | + | 0.248281i | ||||
\(361\) | 0.222579 | + | 0.436836i | 0.0117147 | + | 0.0229914i | ||||
\(362\) | −5.59745 | + | 2.29663i | −0.294195 | + | 0.120708i | ||||
\(363\) | −5.24599 | − | 1.25945i | −0.275343 | − | 0.0661041i | ||||
\(364\) | 1.26261 | − | 7.64057i | 0.0661789 | − | 0.400475i | ||||
\(365\) | −7.67262 | − | 23.6139i | −0.401603 | − | 1.23601i | ||||
\(366\) | 2.96319 | − | 12.1631i | 0.154888 | − | 0.635778i | ||||
\(367\) | −11.2384 | + | 1.77999i | −0.586641 | + | 0.0929148i | −0.442697 | − | 0.896671i | \(-0.645978\pi\) |
−0.143943 | + | 0.989586i | \(0.545978\pi\) | |||||||
\(368\) | −28.7828 | + | 20.3290i | −1.50041 | + | 1.05972i | ||||
\(369\) | −2.06840 | + | 8.28279i | −0.107677 | + | 0.431185i | ||||
\(370\) | −6.98580 | − | 45.0823i | −0.363175 | − | 2.34372i | ||||
\(371\) | 1.53890 | + | 9.71625i | 0.0798958 | + | 0.504442i | ||||
\(372\) | −3.37356 | − | 0.288231i | −0.174911 | − | 0.0149441i | ||||
\(373\) | −4.92355 | + | 1.59976i | −0.254932 | + | 0.0828323i | −0.433695 | − | 0.901060i | \(-0.642790\pi\) |
0.178763 | + | 0.983892i | \(0.442790\pi\) | |||||||
\(374\) | 6.22398 | − | 18.9396i | 0.321834 | − | 0.979343i | ||||
\(375\) | 6.35652 | − | 26.4768i | 0.328250 | − | 1.36726i | ||||
\(376\) | −11.4074 | + | 9.54648i | −0.588291 | + | 0.492322i | ||||
\(377\) | 6.21003 | − | 3.16417i | 0.319833 | − | 0.162963i | ||||
\(378\) | −7.52272 | + | 10.2816i | −0.386927 | + | 0.528830i | ||||
\(379\) | −3.98608 | − | 1.29516i | −0.204751 | − | 0.0665277i | 0.204846 | − | 0.978794i | \(-0.434331\pi\) |
−0.409597 | + | 0.912267i | \(0.634331\pi\) | |||||||
\(380\) | 13.4643 | − | 31.9002i | 0.690704 | − | 1.63645i | ||||
\(381\) | −10.8062 | − | 0.850467i | −0.553619 | − | 0.0435708i | ||||
\(382\) | 15.7941 | + | 18.6183i | 0.808099 | + | 0.952597i | ||||
\(383\) | 10.2108 | + | 24.6510i | 0.521747 | + | 1.25961i | 0.936817 | + | 0.349819i | \(0.113757\pi\) |
−0.415071 | + | 0.909789i | \(0.636243\pi\) | |||||||
\(384\) | 3.07621 | + | 14.2786i | 0.156982 | + | 0.728650i | ||||
\(385\) | −19.9037 | + | 14.4609i | −1.01439 | + | 0.736994i | ||||
\(386\) | −4.95629 | + | 1.17238i | −0.252268 | + | 0.0596723i | ||||
\(387\) | −1.46993 | + | 2.02319i | −0.0747208 | + | 0.102844i | ||||
\(388\) | −2.14397 | + | 8.67415i | −0.108843 | + | 0.440363i | ||||
\(389\) | −0.209337 | + | 1.32170i | −0.0106138 | + | 0.0670129i | −0.992427 | − | 0.122838i | \(-0.960800\pi\) |
0.981813 | + | 0.189851i | \(0.0608005\pi\) | |||||||
\(390\) | −17.2165 | − | 0.0576024i | −0.871790 | − | 0.00291681i | ||||
\(391\) | −16.6548 | + | 27.1782i | −0.842271 | + | 1.37446i | ||||
\(392\) | −12.2913 | − | 2.07341i | −0.620802 | − | 0.104723i | ||||
\(393\) | 9.04859 | − | 0.712139i | 0.456441 | − | 0.0359227i | ||||
\(394\) | −13.3470 | + | 13.2580i | −0.672412 | + | 0.667928i | ||||
\(395\) | 33.6908 | − | 28.7747i | 1.69517 | − | 1.44781i | ||||
\(396\) | −7.94479 | + | 6.69407i | −0.399241 | + | 0.336390i | ||||
\(397\) | 6.15155 | − | 3.76967i | 0.308737 | − | 0.189194i | −0.359495 | − | 0.933147i | \(-0.617051\pi\) |
0.668233 | + | 0.743952i | \(0.267051\pi\) | |||||||
\(398\) | −0.234433 | − | 3.11183i | −0.0117511 | − | 0.155982i | ||||
\(399\) | 6.97889 | + | 5.96053i | 0.349381 | + | 0.298400i | ||||
\(400\) | −39.6497 | + | 12.2988i | −1.98248 | + | 0.614941i | ||||
\(401\) | −14.6866 | + | 14.6866i | −0.733412 | + | 0.733412i | −0.971294 | − | 0.237882i | \(-0.923547\pi\) |
0.237882 | + | 0.971294i | \(0.423547\pi\) | |||||||
\(402\) | −5.78852 | + | 4.17608i | −0.288705 | + | 0.208284i | ||||
\(403\) | −3.06608 | + | 0.736100i | −0.152732 | + | 0.0366677i | ||||
\(404\) | 0.0128131 | + | 0.178028i | 0.000637474 | + | 0.00885723i | ||||
\(405\) | 11.2599 | + | 5.73718i | 0.559507 | + | 0.285083i | ||||
\(406\) | 2.97691 | + | 5.89116i | 0.147741 | + | 0.292373i | ||||
\(407\) | 29.6091 | + | 12.2645i | 1.46767 | + | 0.607928i | ||||
\(408\) | 7.65835 | + | 10.7664i | 0.379145 | + | 0.533018i | ||||
\(409\) | − | 12.0247i | − | 0.594585i | −0.954786 | − | 0.297293i | \(-0.903916\pi\) | ||
0.954786 | − | 0.297293i | \(-0.0960837\pi\) | |||||||
\(410\) | −13.1801 | − | 32.9744i | −0.650920 | − | 1.62849i | ||||
\(411\) | 28.2884i | 1.39536i | ||||||||
\(412\) | 14.2705 | + | 28.4768i | 0.703055 | + | 1.40295i | ||||
\(413\) | −2.51540 | − | 1.04191i | −0.123775 | − | 0.0512692i | ||||
\(414\) | 14.8254 | − | 7.49153i | 0.728627 | − | 0.368188i | ||||
\(415\) | 19.9399 | + | 10.1599i | 0.978813 | + | 0.498730i | ||||
\(416\) | 6.91231 | + | 11.7154i | 0.338904 | + | 0.574393i | ||||
\(417\) | 7.03346 | − | 1.68858i | 0.344430 | − | 0.0826903i | ||||
\(418\) | 14.2317 | + | 19.7267i | 0.696094 | + | 0.964864i | ||||
\(419\) | −10.1062 | + | 10.1062i | −0.493722 | + | 0.493722i | −0.909477 | − | 0.415755i | \(-0.863517\pi\) |
0.415755 | + | 0.909477i | \(0.363517\pi\) | |||||||
\(420\) | 0.109103 | − | 16.3045i | 0.00532370 | − | 0.795577i | ||||
\(421\) | 11.1349 | + | 9.51010i | 0.542681 | + | 0.463494i | 0.878034 | − | 0.478599i | \(-0.158855\pi\) |
−0.335352 | + | 0.942093i | \(0.608855\pi\) | |||||||
\(422\) | 7.52474 | − | 0.566884i | 0.366299 | − | 0.0275955i | ||||
\(423\) | 5.97856 | − | 3.66367i | 0.290688 | − | 0.178134i | ||||
\(424\) | −13.0259 | − | 11.3532i | −0.632593 | − | 0.551362i | ||||
\(425\) | −28.5547 | + | 24.3880i | −1.38510 | + | 1.18299i | ||||
\(426\) | −6.60017 | − | 6.64448i | −0.319779 | − | 0.321926i | ||||
\(427\) | 11.0073 | − | 0.866289i | 0.532678 | − | 0.0419227i | ||||
\(428\) | 10.8624 | − | 32.6851i | 0.525053 | − | 1.57989i | ||||
\(429\) | 6.31950 | − | 10.3125i | 0.305108 | − | 0.497892i | ||||
\(430\) | 0.0348033 | − | 10.4022i | 0.00167837 | − | 0.501638i | ||||
\(431\) | 1.30737 | − | 8.25438i | 0.0629736 | − | 0.397600i | −0.935988 | − | 0.352033i | \(-0.885491\pi\) |
0.998961 | − | 0.0455670i | \(-0.0145094\pi\) | |||||||
\(432\) | −1.45700 | − | 22.3298i | −0.0701001 | − | 1.07434i | ||||
\(433\) | −21.9360 | + | 30.1923i | −1.05418 | + | 1.45095i | −0.169042 | + | 0.985609i | \(0.554067\pi\) |
−0.885133 | + | 0.465339i | \(0.845933\pi\) | |||||||
\(434\) | −0.687399 | − | 2.90602i | −0.0329962 | − | 0.139494i | ||||
\(435\) | 11.8716 | − | 8.62525i | 0.569202 | − | 0.413549i | ||||
\(436\) | 21.9849 | + | 13.6756i | 1.05289 | + | 0.654942i | ||||
\(437\) | −14.8833 | − | 35.9315i | −0.711966 | − | 1.71884i | ||||
\(438\) | −8.81526 | + | 7.47808i | −0.421210 | + | 0.357317i | ||||
\(439\) | −4.85126 | − | 0.381802i | −0.231538 | − | 0.0182224i | −0.0378406 | − | 0.999284i | \(-0.512048\pi\) |
−0.193697 | + | 0.981061i | \(0.562048\pi\) | |||||||
\(440\) | 10.5093 | − | 41.9162i | 0.501009 | − | 1.99828i | ||||
\(441\) | 5.58819 | + | 1.81571i | 0.266104 | + | 0.0864626i | ||||
\(442\) | 9.93030 | + | 7.26568i | 0.472336 | + | 0.345593i | ||||
\(443\) | −2.40948 | + | 1.22769i | −0.114478 | + | 0.0583294i | −0.510292 | − | 0.860001i | \(-0.670463\pi\) |
0.395814 | + | 0.918331i | \(0.370463\pi\) | |||||||
\(444\) | −18.1838 | + | 10.9763i | −0.862963 | + | 0.520914i | ||||
\(445\) | 2.85523 | − | 11.8929i | 0.135351 | − | 0.563777i | ||||
\(446\) | −13.6027 | − | 4.47016i | −0.644107 | − | 0.211668i | ||||
\(447\) | 1.26792 | − | 0.411974i | 0.0599708 | − | 0.0194857i | ||||
\(448\) | −11.1168 | + | 6.50910i | −0.525219 | + | 0.307526i | ||||
\(449\) | −1.11155 | − | 7.01802i | −0.0524571 | − | 0.331201i | −0.999935 | − | 0.0113805i | \(-0.996377\pi\) |
0.947478 | − | 0.319820i | \(-0.103623\pi\) | |||||||
\(450\) | 19.3380 | − | 2.99655i | 0.911602 | − | 0.141259i | ||||
\(451\) | 24.6030 | + | 4.12653i | 1.15851 | + | 0.194311i | ||||
\(452\) | 23.4652 | − | 7.45110i | 1.10371 | − | 0.350470i | ||||
\(453\) | 30.1221 | − | 4.77088i | 1.41526 | − | 0.224155i | ||||
\(454\) | 12.6601 | + | 3.08426i | 0.594168 | + | 0.144751i | ||||
\(455\) | −4.69227 | − | 14.4413i | −0.219977 | − | 0.677020i | ||||
\(456\) | −16.1199 | − | 0.161806i | −0.754886 | − | 0.00757725i | ||||
\(457\) | 30.7371 | + | 7.37932i | 1.43782 | + | 0.345190i | 0.876097 | − | 0.482135i | \(-0.160138\pi\) |
0.561723 | + | 0.827325i | \(0.310138\pi\) | |||||||
\(458\) | 9.70111 | + | 23.6440i | 0.453303 | + | 1.10481i | ||||
\(459\) | −9.18964 | − | 18.0357i | −0.428936 | − | 0.841834i | ||||
\(460\) | −31.7789 | + | 61.3513i | −1.48170 | + | 2.86052i | ||||
\(461\) | 3.99909 | − | 12.3079i | 0.186256 | − | 0.573237i | −0.813712 | − | 0.581269i | \(-0.802557\pi\) |
0.999968 | + | 0.00803154i | \(0.00255655\pi\) | |||||||
\(462\) | 9.74629 | + | 6.01748i | 0.453439 | + | 0.279959i | ||||
\(463\) | 0.552441 | − | 7.01943i | 0.0256741 | − | 0.326221i | −0.970646 | − | 0.240512i | \(-0.922685\pi\) |
0.996320 | − | 0.0857085i | \(-0.0273154\pi\) | |||||||
\(464\) | −10.6510 | − | 4.57972i | −0.494459 | − | 0.212608i | ||||
\(465\) | −6.13349 | + | 2.54057i | −0.284434 | + | 0.117816i | ||||
\(466\) | 14.3690 | + | 12.3557i | 0.665633 | + | 0.572367i | ||||
\(467\) | 1.53038 | + | 2.10639i | 0.0708177 | + | 0.0974722i | 0.842957 | − | 0.537982i | \(-0.180813\pi\) |
−0.772139 | + | 0.635454i | \(0.780813\pi\) | |||||||
\(468\) | −2.41409 | − | 5.94024i | −0.111591 | − | 0.274588i | ||||
\(469\) | −5.09295 | − | 3.70024i | −0.235170 | − | 0.170861i | ||||
\(470\) | −11.2515 | + | 26.9085i | −0.518993 | + | 1.24120i | ||||
\(471\) | −12.0100 | − | 1.90220i | −0.553392 | − | 0.0876487i | ||||
\(472\) | 4.56284 | − | 1.43209i | 0.210022 | − | 0.0659171i | ||||
\(473\) | 6.23080 | + | 3.81824i | 0.286492 | + | 0.175563i | ||||
\(474\) | −18.3483 | − | 9.42637i | −0.842764 | − | 0.432967i | ||||
\(475\) | −3.59484 | − | 45.6768i | −0.164943 | − | 2.09580i | ||||
\(476\) | −6.91233 | + | 9.38135i | −0.316826 | + | 0.429994i | ||||
\(477\) | 5.28985 | + | 6.19362i | 0.242206 | + | 0.283586i | ||||
\(478\) | −17.7114 | − | 29.1206i | −0.810100 | − | 1.33195i | ||||
\(479\) | −12.0867 | − | 19.7237i | −0.552256 | − | 0.901200i | −0.999975 | − | 0.00702552i | \(-0.997764\pi\) |
0.447720 | − | 0.894174i | \(-0.352236\pi\) | |||||||
\(480\) | 18.2328 | + | 22.0855i | 0.832209 | + | 1.00806i | ||||
\(481\) | −12.8463 | + | 15.0411i | −0.585742 | + | 0.685816i | ||||
\(482\) | −2.67436 | + | 16.5272i | −0.121814 | + | 0.752792i | ||||
\(483\) | −12.9499 | − | 12.9499i | −0.589243 | − | 0.589243i | ||||
\(484\) | 5.87022 | + | 5.94931i | 0.266828 | + | 0.270423i | ||||
\(485\) | 4.08991 | + | 17.0357i | 0.185713 | + | 0.773551i | ||||
\(486\) | −1.46012 | + | 17.7913i | −0.0662322 | + | 0.807030i | ||||
\(487\) | −0.425490 | + | 0.835072i | −0.0192808 | + | 0.0378407i | −0.900446 | − | 0.434968i | \(-0.856760\pi\) |
0.881165 | + | 0.472808i | \(0.156760\pi\) | |||||||
\(488\) | −13.8505 | + | 13.5752i | −0.626982 | + | 0.614520i | ||||
\(489\) | −8.15669 | + | 19.6920i | −0.368858 | + | 0.890503i | ||||
\(490\) | −23.2696 | + | 7.47478i | −1.05121 | + | 0.337676i | ||||
\(491\) | 21.7290 | 0.980615 | 0.490308 | − | 0.871550i | \(-0.336884\pi\) | ||||
0.490308 | + | 0.871550i | \(0.336884\pi\) | |||||||
\(492\) | −11.8738 | + | 11.5046i | −0.535311 | + | 0.518667i | ||||
\(493\) | −10.4875 | −0.472332 | ||||||||
\(494\) | −14.2937 | + | 4.59150i | −0.643105 | + | 0.206581i | ||||
\(495\) | −7.79536 | + | 18.8197i | −0.350375 | + | 0.845880i | ||||
\(496\) | 4.20185 | + | 3.13959i | 0.188669 | + | 0.140972i | ||||
\(497\) | 3.74998 | − | 7.35974i | 0.168209 | − | 0.330130i | ||||
\(498\) | 0.852230 | − | 10.3843i | 0.0381893 | − | 0.465332i | ||||
\(499\) | 2.68206 | + | 11.1716i | 0.120066 | + | 0.500109i | 0.999701 | + | 0.0244601i | \(0.00778666\pi\) |
−0.879635 | + | 0.475649i | \(0.842213\pi\) | |||||||
\(500\) | −30.0265 | + | 29.6273i | −1.34283 | + | 1.32497i | ||||
\(501\) | −14.4810 | − | 14.4810i | −0.646963 | − | 0.646963i | ||||
\(502\) | −6.90813 | + | 42.6913i | −0.308325 | + | 1.90541i | ||||
\(503\) | −25.0828 | + | 29.3682i | −1.11839 | + | 1.30946i | −0.172485 | + | 0.985012i | \(0.555180\pi\) |
−0.945902 | + | 0.324452i | \(0.894820\pi\) | |||||||
\(504\) | 5.63329 | − | 2.26741i | 0.250926 | − | 0.100999i | ||||
\(505\) | 0.182861 | + | 0.298401i | 0.00813719 | + | 0.0132787i | ||||
\(506\) | −25.2227 | − | 41.4705i | −1.12129 | − | 1.84359i | ||||
\(507\) | −6.05177 | − | 7.08571i | −0.268768 | − | 0.314687i | ||||
\(508\) | 13.5190 | + | 9.96101i | 0.599808 | + | 0.441948i | ||||
\(509\) | 2.16356 | + | 27.4906i | 0.0958981 | + | 1.21850i | 0.837036 | + | 0.547148i | \(0.184286\pi\) |
−0.741138 | + | 0.671353i | \(0.765714\pi\) | |||||||
\(510\) | 23.0432 | + | 11.8384i | 1.02037 | + | 0.524212i | ||||
\(511\) | −8.69306 | − | 5.32711i | −0.384558 | − | 0.235658i | ||||
\(512\) | 7.63699 | − | 21.2997i | 0.337511 | − | 0.941322i | ||||
\(513\) | 24.3937 | + | 3.86358i | 1.07701 | + | 0.170581i | ||||
\(514\) | 5.25472 | − | 12.5669i | 0.231776 | − | 0.554303i | ||||
\(515\) | 50.5271 | + | 36.7101i | 2.22649 | + | 1.61764i | ||||
\(516\) | −4.48669 | + | 1.82337i | −0.197516 | + | 0.0802695i | ||||
\(517\) | −12.0434 | − | 16.5763i | −0.529668 | − | 0.729026i | ||||
\(518\) | −14.2038 | − | 12.2136i | −0.624079 | − | 0.536636i | ||||
\(519\) | 3.53303 | − | 1.46343i | 0.155083 | − | 0.0642374i | ||||
\(520\) | 22.6001 | + | 14.1633i | 0.991078 | + | 0.621102i | ||||
\(521\) | −2.29182 | + | 29.1203i | −0.100406 | + | 1.27578i | 0.715916 | + | 0.698186i | \(0.246009\pi\) |
−0.816323 | + | 0.577596i | \(0.803991\pi\) | |||||||
\(522\) | 4.65024 | + | 2.87111i | 0.203535 | + | 0.125665i | ||||
\(523\) | 1.91266 | − | 5.88658i | 0.0836350 | − | 0.257402i | −0.900491 | − | 0.434875i | \(-0.856792\pi\) |
0.984126 | + | 0.177473i | \(0.0567924\pi\) | |||||||
\(524\) | −12.4856 | − | 6.46731i | −0.545434 | − | 0.282526i | ||||
\(525\) | −9.79505 | − | 19.2239i | −0.427491 | − | 0.838998i | ||||
\(526\) | −11.0822 | − | 27.0101i | −0.483208 | − | 1.17770i | ||||
\(527\) | 4.61361 | + | 1.10763i | 0.200972 | + | 0.0482491i | ||||
\(528\) | −19.9119 | + | 2.88113i | −0.866554 | + | 0.125385i | ||||
\(529\) | 16.8746 | + | 51.9346i | 0.733677 | + | 2.25803i | ||||
\(530\) | −32.9176 | − | 8.01939i | −1.42985 | − | 0.348340i | ||||
\(531\) | −2.22655 | + | 0.352651i | −0.0966240 | + | 0.0153037i | ||||
\(532\) | −4.30303 | − | 13.5512i | −0.186560 | − | 0.587521i | ||||
\(533\) | −7.11464 | + | 13.6547i | −0.308169 | + | 0.591451i | ||||
\(534\) | −5.62724 | + | 0.871977i | −0.243514 | + | 0.0377341i | ||||
\(535\) | −10.5647 | − | 66.7027i | −0.456751 | − | 2.88381i | ||||
\(536\) | 11.0315 | − | 0.756873i | 0.476490 | − | 0.0326919i | ||||
\(537\) | 2.60573 | − | 0.846652i | 0.112445 | − | 0.0365357i | ||||
\(538\) | 0.204083 | + | 0.0670664i | 0.00879865 | + | 0.00289144i | ||||
\(539\) | 4.00820 | − | 16.6954i | 0.172646 | − | 0.719121i | ||||
\(540\) | −22.6746 | − | 37.5635i | −0.975760 | − | 1.61648i | ||||
\(541\) | −17.2050 | + | 8.76638i | −0.739700 | + | 0.376896i | −0.782881 | − | 0.622171i | \(-0.786251\pi\) |
0.0431810 | + | 0.999067i | \(0.486251\pi\) | |||||||
\(542\) | 1.94678 | + | 1.42439i | 0.0836212 | + | 0.0611828i | ||||
\(543\) | 5.25289 | + | 1.70677i | 0.225423 | + | 0.0732444i | ||||
\(544\) | −1.26435 | − | 20.4291i | −0.0542086 | − | 0.875889i | ||||
\(545\) | 50.6102 | + | 3.98311i | 2.16790 | + | 0.170618i | ||||
\(546\) | −5.39107 | + | 4.57330i | −0.230716 | + | 0.195719i | ||||
\(547\) | −9.66259 | − | 23.3276i | −0.413143 | − | 0.997415i | −0.984289 | − | 0.176566i | \(-0.943501\pi\) |
0.571146 | − | 0.820848i | \(-0.306499\pi\) | |||||||
\(548\) | 23.1472 | − | 37.2116i | 0.988801 | − | 1.58960i | ||||
\(549\) | 7.39602 | − | 5.37352i | 0.315654 | − | 0.229336i | ||||
\(550\) | −13.1629 | − | 55.6469i | −0.561268 | − | 2.37279i | ||||
\(551\) | 7.52133 | − | 10.3522i | 0.320419 | − | 0.441019i | ||||
\(552\) | 32.0422 | + | 2.84565i | 1.36380 | + | 0.121119i | ||||
\(553\) | 2.84606 | − | 17.9693i | 0.121027 | − | 0.764133i | ||||
\(554\) | −0.0538702 | + | 16.1010i | −0.00228872 | + | 0.684065i | ||||
\(555\) | −21.7601 | + | 35.5092i | −0.923664 | + | 1.50728i | ||||
\(556\) | −10.6338 | − | 3.53396i | −0.450972 | − | 0.149873i | ||||
\(557\) | −45.5537 | + | 3.58516i | −1.93017 | + | 0.151908i | −0.984755 | − | 0.173949i | \(-0.944347\pi\) |
−0.945419 | + | 0.325857i | \(0.894347\pi\) | |||||||
\(558\) | −1.74248 | − | 1.75418i | −0.0737653 | − | 0.0742605i | ||||
\(559\) | −3.42964 | + | 2.92919i | −0.145058 | + | 0.123891i | ||||
\(560\) | −13.4848 | + | 21.3582i | −0.569837 | + | 0.902550i | ||||
\(561\) | −15.5175 | + | 9.50913i | −0.655149 | + | 0.401476i | ||||
\(562\) | 38.1302 | − | 2.87258i | 1.60842 | − | 0.121172i | ||||
\(563\) | 30.5523 | + | 26.0941i | 1.28763 | + | 1.09974i | 0.989396 | + | 0.145242i | \(0.0463961\pi\) |
0.298230 | + | 0.954494i | \(0.403604\pi\) | |||||||
\(564\) | 13.5788 | + | 0.0908642i | 0.571771 | + | 0.00382607i | ||||
\(565\) | 34.1346 | − | 34.1346i | 1.43605 | − | 1.43605i | ||||
\(566\) | −9.17182 | − | 12.7132i | −0.385520 | − | 0.534374i | ||||
\(567\) | 5.04579 | − | 1.21139i | 0.211903 | − | 0.0508735i | ||||
\(568\) | 3.24520 | + | 14.1410i | 0.136166 | + | 0.593345i | ||||
\(569\) | −20.1052 | − | 10.2441i | −0.842856 | − | 0.429456i | −0.0214288 | − | 0.999770i | \(-0.506822\pi\) |
−0.821427 | + | 0.570314i | \(0.806822\pi\) | |||||||
\(570\) | −28.2116 | + | 14.2559i | −1.18166 | + | 0.597112i | ||||
\(571\) | 15.1710 | + | 6.28405i | 0.634888 | + | 0.262979i | 0.676828 | − | 0.736141i | \(-0.263354\pi\) |
−0.0419401 | + | 0.999120i | \(0.513354\pi\) | |||||||
\(572\) | −16.7512 | + | 8.39444i | −0.700402 | + | 0.350989i | ||||
\(573\) | − | 22.2882i | − | 0.931103i | ||||||
\(574\) | −12.9090 | − | 6.78110i | −0.538810 | − | 0.283038i | ||||
\(575\) | 91.4280i | 3.81281i | ||||||||
\(576\) | −5.03216 | + | 9.40456i | −0.209673 | + | 0.391857i | ||||
\(577\) | 28.1558 | + | 11.6625i | 1.17214 | + | 0.485518i | 0.881901 | − | 0.471435i | \(-0.156264\pi\) |
0.290243 | + | 0.956953i | \(0.406264\pi\) | |||||||
\(578\) | 2.49257 | + | 4.93268i | 0.103677 | + | 0.205172i | ||||
\(579\) | 4.14263 | + | 2.11078i | 0.172162 | + | 0.0877208i | ||||
\(580\) | −22.6741 | + | 1.63190i | −0.941490 | + | 0.0677611i | ||||
\(581\) | 8.93553 | − | 2.14523i | 0.370708 | − | 0.0889992i | ||||
\(582\) | 6.61499 | − | 4.77234i | 0.274200 | − | 0.197820i | ||||
\(583\) | 16.8300 | − | 16.8300i | 0.697027 | − | 0.697027i | ||||
\(584\) | 17.7149 | − | 2.62378i | 0.733049 | − | 0.108573i | ||||
\(585\) | −9.56020 | − | 8.16518i | −0.395266 | − | 0.337589i | ||||
\(586\) | −1.18876 | − | 15.7794i | −0.0491072 | − | 0.651841i | ||||
\(587\) | −27.5981 | + | 16.9121i | −1.13909 | + | 0.698038i | −0.958379 | − | 0.285498i | \(-0.907841\pi\) |
−0.180715 | + | 0.983536i | \(0.557841\pi\) | |||||||
\(588\) | 7.33203 | + | 8.70195i | 0.302368 | + | 0.358862i | ||||
\(589\) | −4.40210 | + | 3.75975i | −0.181386 | + | 0.154918i | ||||
\(590\) | 6.65265 | − | 6.60828i | 0.273885 | − | 0.272059i | ||||
\(591\) | 17.1209 | − | 1.34744i | 0.704259 | − | 0.0554264i | ||||
\(592\) | 32.9011 | + | 0.440343i | 1.35223 | + | 0.0180980i | ||||
\(593\) | 16.0671 | − | 26.2191i | 0.659795 | − | 1.07669i | −0.331299 | − | 0.943526i | \(-0.607487\pi\) |
0.991094 | − | 0.133162i | \(-0.0425131\pi\) | |||||||
\(594\) | 30.8234 | + | 0.103128i | 1.26470 | + | 0.00423140i | ||||
\(595\) | −3.57430 | + | 22.5673i | −0.146532 | + | 0.925167i | ||||
\(596\) | −2.00498 | − | 0.495565i | −0.0821270 | − | 0.0202991i | ||||
\(597\) | −1.67448 | + | 2.30472i | −0.0685319 | + | 0.0943260i | ||||
\(598\) | 29.1534 | − | 6.89604i | 1.19217 | − | 0.282000i | ||||
\(599\) | 25.1228 | − | 18.2528i | 1.02649 | − | 0.745789i | 0.0588870 | − | 0.998265i | \(-0.481245\pi\) |
0.967603 | + | 0.252476i | \(0.0812448\pi\) | |||||||
\(600\) | 34.8649 | + | 14.8532i | 1.42335 | + | 0.606381i | ||||
\(601\) | 3.59225 | + | 8.67247i | 0.146531 | + | 0.353757i | 0.980055 | − | 0.198726i | \(-0.0636803\pi\) |
−0.833524 | + | 0.552483i | \(0.813680\pi\) | |||||||
\(602\) | −2.76319 | − | 3.25728i | −0.112619 | − | 0.132757i | ||||
\(603\) | −5.19626 | − | 0.408955i | −0.211608 | − | 0.0166539i | ||||
\(604\) | −43.5276 | − | 18.3719i | −1.77111 | − | 0.747542i | ||||
\(605\) | 15.5857 | + | 5.06410i | 0.633648 | + | 0.205885i | ||||
\(606\) | 0.0962140 | − | 0.131500i | 0.00390843 | − | 0.00534181i | ||||
\(607\) | 4.31317 | − | 2.19767i | 0.175066 | − | 0.0892007i | −0.364261 | − | 0.931297i | \(-0.618678\pi\) |
0.539328 | + | 0.842096i | \(0.318678\pi\) | |||||||
\(608\) | 21.0724 | + | 13.4031i | 0.854598 | + | 0.543569i | ||||
\(609\) | 1.40664 | − | 5.85909i | 0.0570001 | − | 0.237422i | ||||
\(610\) | −11.8718 | + | 36.1261i | −0.480677 | + | 1.46270i | ||||
\(611\) | 12.0271 | − | 3.90785i | 0.486565 | − | 0.158095i | ||||
\(612\) | −0.821350 | + | 9.61336i | −0.0332011 | + | 0.388597i | ||||
\(613\) | −4.98066 | − | 31.4467i | −0.201167 | − | 1.27012i | −0.857041 | − | 0.515249i | \(-0.827700\pi\) |
0.655874 | − | 0.754871i | \(-0.272300\pi\) | |||||||
\(614\) | −3.71343 | − | 23.9644i | −0.149862 | − | 0.967122i | ||||
\(615\) | −10.2976 | + | 30.7384i | −0.415240 | + | 1.23949i | ||||
\(616\) | −7.89678 | − | 15.8906i | −0.318170 | − | 0.640251i | ||||
\(617\) | −25.1272 | + | 3.97976i | −1.01158 | + | 0.160219i | −0.640158 | − | 0.768243i | \(-0.721131\pi\) |
−0.371426 | + | 0.928463i | \(0.621131\pi\) | |||||||
\(618\) | 6.88259 | − | 28.2513i | 0.276859 | − | 1.13643i | ||||
\(619\) | −14.9383 | − | 45.9753i | −0.600420 | − | 1.84790i | −0.525648 | − | 0.850702i | \(-0.676177\pi\) |
−0.0747725 | − | 0.997201i | \(-0.523823\pi\) | |||||||
\(620\) | 10.1471 | + | 1.67681i | 0.407516 | + | 0.0673425i | ||||
\(621\) | −47.9216 | − | 11.5049i | −1.92303 | − | 0.461678i | ||||
\(622\) | −37.9635 | + | 15.5764i | −1.52220 | + | 0.624556i | ||||
\(623\) | −2.28007 | − | 4.47489i | −0.0913491 | − | 0.179283i | ||||
\(624\) | 2.10650 | − | 12.2376i | 0.0843274 | − | 0.489896i | ||||
\(625\) | −9.52336 | + | 29.3099i | −0.380934 | + | 1.17240i | ||||
\(626\) | 9.13256 | − | 14.7917i | 0.365011 | − | 0.591194i | ||||
\(627\) | 1.74223 | − | 22.1371i | 0.0695778 | − | 0.884069i | ||||
\(628\) | 14.2419 | + | 12.3295i | 0.568315 | + | 0.492002i | ||||
\(629\) | 27.4984 | − | 11.3902i | 1.09643 | − | 0.454158i | ||||
\(630\) | 7.76303 | − | 9.02800i | 0.309286 | − | 0.359684i | ||||
\(631\) | −1.43308 | − | 1.97246i | −0.0570499 | − | 0.0785225i | 0.779539 | − | 0.626354i | \(-0.215454\pi\) |
−0.836589 | + | 0.547831i | \(0.815454\pi\) | |||||||
\(632\) | 16.4228 | + | 27.4134i | 0.653263 | + | 1.09045i | ||||
\(633\) | −5.57307 | − | 4.04907i | −0.221510 | − | 0.160936i | ||||
\(634\) | 25.1877 | + | 10.5319i | 1.00033 | + | 0.418277i | ||||
\(635\) | 32.5205 | + | 5.15074i | 1.29054 | + | 0.204401i | ||||
\(636\) | 2.36328 | + | 15.5959i | 0.0937101 | + | 0.618417i | ||||
\(637\) | 9.03557 | + | 5.53700i | 0.358002 | + | 0.219384i | ||||
\(638\) | 7.29776 | − | 14.2050i | 0.288921 | − | 0.562380i | ||||
\(639\) | −0.536594 | − | 6.81807i | −0.0212273 | − | 0.269719i | ||||
\(640\) | −5.91242 | − | 43.9713i | −0.233709 | − | 1.73812i | ||||
\(641\) | 0.619847 | + | 0.725748i | 0.0244825 | + | 0.0286653i | 0.772512 | − | 0.635000i | \(-0.219000\pi\) |
−0.748030 | + | 0.663665i | \(0.769000\pi\) | |||||||
\(642\) | −26.8638 | + | 16.3388i | −1.06023 | + | 0.644841i | ||||
\(643\) | −7.22026 | − | 11.7824i | −0.284739 | − | 0.464652i | 0.678008 | − | 0.735054i | \(-0.262843\pi\) |
−0.962747 | + | 0.270402i | \(0.912843\pi\) | |||||||
\(644\) | 6.43843 | + | 27.6313i | 0.253710 | + | 1.08882i | ||||
\(645\) | −6.16720 | + | 7.22086i | −0.242833 | + | 0.284321i | ||||
\(646\) | 22.3005 | + | 3.60858i | 0.877402 | + | 0.141978i | ||||
\(647\) | 2.97537 | + | 2.97537i | 0.116974 | + | 0.116974i | 0.763171 | − | 0.646197i | \(-0.223641\pi\) |
−0.646197 | + | 0.763171i | \(0.723641\pi\) | |||||||
\(648\) | −5.43123 | + | 7.31980i | −0.213359 | + | 0.287549i | ||||
\(649\) | 1.53779 | + | 6.40536i | 0.0603636 | + | 0.251432i | ||||
\(650\) | 35.1747 | + | 2.88676i | 1.37967 | + | 0.113228i | ||||
\(651\) | −1.23761 | + | 2.42895i | −0.0485058 | + | 0.0951981i | ||||
\(652\) | 26.8428 | − | 19.2293i | 1.05124 | − | 0.753077i | ||||
\(653\) | −11.1250 | + | 26.8580i | −0.435353 | + | 1.05104i | 0.542182 | + | 0.840261i | \(0.317598\pi\) |
−0.977535 | + | 0.210774i | \(0.932402\pi\) | |||||||
\(654\) | −7.22861 | − | 22.5033i | −0.282661 | − | 0.879948i | ||||
\(655\) | −27.5705 | −1.07727 | ||||||||
\(656\) | 25.0329 | − | 5.41776i | 0.977372 | − | 0.211528i | ||||
\(657\) | −8.44165 | −0.329340 | ||||||||
\(658\) | 3.66277 | + | 11.4025i | 0.142790 | + | 0.444517i | ||||
\(659\) | −4.22125 | + | 10.1910i | −0.164437 | + | 0.396985i | −0.984523 | − | 0.175254i | \(-0.943925\pi\) |
0.820087 | + | 0.572239i | \(0.193925\pi\) | |||||||
\(660\) | −32.0694 | + | 22.9735i | −1.24830 | + | 0.894242i | ||||
\(661\) | 9.03552 | − | 17.7332i | 0.351441 | − | 0.689742i | −0.645837 | − | 0.763475i | \(-0.723491\pi\) |
0.997278 | + | 0.0737336i | \(0.0234915\pi\) | |||||||
\(662\) | −20.3732 | − | 1.67201i | −0.791825 | − | 0.0649844i | ||||
\(663\) | −2.62220 | − | 10.9223i | −0.101838 | − | 0.424185i | ||||
\(664\) | −9.61810 | + | 12.9625i | −0.373255 | + | 0.503044i | ||||
\(665\) | −19.7128 | − | 19.7128i | −0.764431 | − | 0.764431i | ||||
\(666\) | −15.3113 | − | 2.47761i | −0.593301 | − | 0.0960056i | ||||
\(667\) | −16.5830 | + | 19.4162i | −0.642096 | + | 0.751797i | ||||
\(668\) | 7.19964 | + | 30.8980i | 0.278562 | + | 1.19548i | ||||
\(669\) | 6.82960 | + | 11.1449i | 0.264048 | + | 0.430886i | ||||
\(670\) | 18.5240 | − | 11.2664i | 0.715643 | − | 0.435260i | ||||
\(671\) | −17.3494 | − | 20.3135i | −0.669766 | − | 0.784195i | ||||
\(672\) | 11.5828 | + | 2.03371i | 0.446816 | + | 0.0784520i | ||||
\(673\) | −1.89897 | − | 24.1286i | −0.0731997 | − | 0.930091i | −0.918403 | − | 0.395646i | \(-0.870521\pi\) |
0.845203 | − | 0.534445i | \(-0.179479\pi\) | |||||||
\(674\) | −5.86267 | + | 11.4116i | −0.225822 | + | 0.439558i | ||||
\(675\) | −49.5042 | − | 30.3362i | −1.90542 | − | 1.16764i | ||||
\(676\) | 2.16278 | + | 14.2727i | 0.0831837 | + | 0.548951i | ||||
\(677\) | −3.87747 | − | 0.614132i | −0.149023 | − | 0.0236030i | 0.0814770 | − | 0.996675i | \(-0.474036\pi\) |
−0.230500 | + | 0.973072i | \(0.574036\pi\) | |||||||
\(678\) | −20.7354 | − | 8.67027i | −0.796338 | − | 0.332980i | ||||
\(679\) | 5.82011 | + | 4.22856i | 0.223355 | + | 0.162277i | ||||
\(680\) | −20.6250 | − | 34.4279i | −0.790933 | − | 1.32025i | ||||
\(681\) | −6.99186 | − | 9.62346i | −0.267929 | − | 0.368772i | ||||
\(682\) | −4.71066 | + | 5.47825i | −0.180380 | + | 0.209773i | ||||
\(683\) | −2.07745 | + | 0.860509i | −0.0794915 | + | 0.0329265i | −0.422075 | − | 0.906561i | \(-0.638698\pi\) |
0.342583 | + | 0.939487i | \(0.388698\pi\) | |||||||
\(684\) | −8.90034 | − | 7.70520i | −0.340313 | − | 0.294616i | ||||
\(685\) | 6.74179 | − | 85.6625i | 0.257590 | − | 3.27300i | ||||
\(686\) | −13.6469 | + | 22.1034i | −0.521042 | + | 0.843912i | ||||
\(687\) | 7.20951 | − | 22.1886i | 0.275060 | − | 0.846547i | ||||
\(688\) | 7.39395 | + | 1.27274i | 0.281892 | + | 0.0485229i | ||||
\(689\) | 6.66915 | + | 13.0889i | 0.254074 | + | 0.498649i | ||||
\(690\) | 58.3535 | − | 23.9424i | 2.22148 | − | 0.911471i | ||||
\(691\) | −16.7895 | − | 4.03080i | −0.638702 | − | 0.153339i | −0.0988550 | − | 0.995102i | \(-0.531518\pi\) |
−0.539847 | + | 0.841763i | \(0.681518\pi\) | |||||||
\(692\) | −5.84495 | − | 0.965884i | −0.222191 | − | 0.0367174i | ||||
\(693\) | 2.58478 | + | 7.95515i | 0.0981878 | + | 0.302191i | ||||
\(694\) | 7.51188 | − | 30.8344i | 0.285147 | − | 1.17046i | ||||
\(695\) | −21.7011 | + | 3.43711i | −0.823168 | + | 0.130377i | ||||
\(696\) | 4.71007 | + | 9.47803i | 0.178535 | + | 0.359264i | ||||
\(697\) | 18.8667 | − | 13.4469i | 0.714629 | − | 0.509339i | ||||
\(698\) | −2.63921 | − | 17.0319i | −0.0998956 | − | 0.644669i | ||||
\(699\) | −2.70630 | − | 17.0869i | −0.102362 | − | 0.646287i | ||||
\(700\) | −2.84532 | + | 33.3027i | −0.107543 | + | 1.25872i | ||||
\(701\) | −2.72310 | + | 0.884789i | −0.102850 | + | 0.0334180i | −0.359990 | − | 0.932956i | \(-0.617220\pi\) |
0.257140 | + | 0.966374i | \(0.417220\pi\) | |||||||
\(702\) | −5.93934 | + | 18.0734i | −0.224166 | + | 0.682137i | ||||
\(703\) | −8.47780 | + | 35.3126i | −0.319746 | + | 1.33184i | ||||
\(704\) | 28.5504 | + | 12.5031i | 1.07603 | + | 0.471230i | ||||
\(705\) | 23.7234 | − | 12.0877i | 0.893475 | − | 0.455248i | ||||
\(706\) | −14.4975 | + | 19.8144i | −0.545622 | + | 0.745724i | ||||
\(707\) | 0.136674 | + | 0.0444082i | 0.00514017 | + | 0.00167014i | ||||
\(708\) | −4.02210 | − | 1.69763i | −0.151160 | − | 0.0638008i | ||||
\(709\) | −35.1190 | − | 2.76393i | −1.31892 | − | 0.103801i | −0.600621 | − | 0.799534i | \(-0.705080\pi\) |
−0.718301 | + | 0.695732i | \(0.755080\pi\) | |||||||
\(710\) | 18.4030 | + | 21.6937i | 0.690652 | + | 0.814150i | ||||
\(711\) | −5.76463 | − | 13.9171i | −0.216191 | − | 0.521930i | ||||
\(712\) | 8.11578 | + | 3.45750i | 0.304152 | + | 0.129575i | ||||
\(713\) | 9.34576 | − | 6.79009i | 0.350002 | − | 0.254291i | ||||
\(714\) | 10.3521 | − | 2.44872i | 0.387418 | − | 0.0916409i | ||||
\(715\) | −21.5943 | + | 29.7220i | −0.807582 | + | 1.11154i | ||||
\(716\) | −4.12045 | − | 1.01844i | −0.153988 | − | 0.0380609i | ||||
\(717\) | −4.86740 | + | 30.7315i | −0.181776 | + | 1.14769i | ||||
\(718\) | 25.8567 | + | 0.0865108i | 0.964965 | + | 0.00322855i | ||||
\(719\) | 1.53850 | − | 2.51061i | 0.0573764 | − | 0.0936298i | −0.822666 | − | 0.568525i | \(-0.807514\pi\) |
0.880042 | + | 0.474896i | \(0.157514\pi\) | |||||||
\(720\) | −0.279884 | + | 20.9121i | −0.0104306 | + | 0.779346i | ||||
\(721\) | 25.5665 | − | 2.01213i | 0.952147 | − | 0.0749356i | ||||
\(722\) | −0.491910 | + | 0.488629i | −0.0183070 | + | 0.0181849i | ||||
\(723\) | 11.6218 | − | 9.92595i | 0.432219 | − | 0.369150i | ||||
\(724\) | −5.51327 | − | 6.54337i | −0.204899 | − | 0.243182i | ||||
\(725\) | −25.6484 | + | 15.7174i | −0.952558 | + | 0.583729i | ||||
\(726\) | −0.573173 | − | 7.60821i | −0.0212724 | − | 0.282367i | ||||
\(727\) | −10.0041 | − | 8.54430i | −0.371031 | − | 0.316891i | 0.444308 | − | 0.895874i | \(-0.353450\pi\) |
−0.815339 | + | 0.578984i | \(0.803450\pi\) | |||||||
\(728\) | 10.8338 | − | 1.60460i | 0.401526 | − | 0.0594705i | ||||
\(729\) | 18.3591 | − | 18.3591i | 0.679965 | − | 0.679965i | ||||
\(730\) | 28.4765 | − | 20.5441i | 1.05396 | − | 0.760373i | ||||
\(731\) | 6.59922 | − | 1.58433i | 0.244081 | − | 0.0585987i | ||||
\(732\) | 17.6587 | − | 1.27094i | 0.652685 | − | 0.0469751i | ||||
\(733\) | 8.10275 | + | 4.12855i | 0.299282 | + | 0.152492i | 0.597183 | − | 0.802105i | \(-0.296287\pi\) |
−0.297901 | + | 0.954597i | \(0.596287\pi\) | |||||||
\(734\) | −7.25744 | − | 14.3621i | −0.267877 | − | 0.530115i | ||||
\(735\) | 20.6132 | + | 8.53827i | 0.760330 | + | 0.314939i | ||||
\(736\) | −39.8210 | − | 29.9620i | −1.46782 | − | 1.10442i | ||||
\(737\) | 15.2311i | 0.561045i | ||||||||
\(738\) | −12.0470 | + | 0.797415i | −0.443456 | + | 0.0293533i | ||||
\(739\) | − | 5.09281i | − | 0.187342i | −0.995603 | − | 0.0936710i | \(-0.970140\pi\) | ||
0.995603 | − | 0.0936710i | \(-0.0298602\pi\) | |||||||
\(740\) | 57.6797 | − | 28.9048i | 2.12035 | − | 1.06256i | ||||
\(741\) | 12.6620 | + | 5.24476i | 0.465149 | + | 0.192671i | ||||
\(742\) | −12.4169 | + | 6.27447i | −0.455837 | + | 0.230343i | ||||
\(743\) | 22.3051 | + | 11.3650i | 0.818295 | + | 0.416942i | 0.812443 | − | 0.583041i | \(-0.198137\pi\) |
0.00585206 | + | 0.999983i | \(0.498137\pi\) | |||||||
\(744\) | −1.07102 | − | 4.66699i | −0.0392655 | − | 0.171100i | ||||
\(745\) | −3.93769 | + | 0.945357i | −0.144266 | + | 0.0346352i | ||||
\(746\) | −4.28350 | − | 5.93740i | −0.156830 | − | 0.217384i | ||||
\(747\) | 5.38015 | − | 5.38015i | 0.196849 | − | 0.196849i | ||||
\(748\) | 28.1932 | + | 0.188658i | 1.03085 | + | 0.00689803i | ||||
\(749\) | −21.0870 | − | 18.0100i | −0.770502 | − | 0.658071i | ||||
\(750\) | 38.3991 | − | 2.89283i | 1.40214 | − | 0.105631i | ||||
\(751\) | −38.7654 | + | 23.7554i | −1.41457 | + | 0.866849i | −0.999086 | − | 0.0427524i | \(-0.986387\pi\) |
−0.415483 | + | 0.909601i | \(0.636387\pi\) | |||||||
\(752\) | −17.7877 | − | 11.2305i | −0.648651 | − | 0.409534i | ||||
\(753\) | 30.0202 | − | 25.6397i | 1.09400 | − | 0.934362i | ||||
\(754\) | 6.94632 | + | 6.99296i | 0.252970 | + | 0.254668i | ||||
\(755\) | −92.3524 | + | 7.26829i | −3.36105 | + | 0.264520i | ||||
\(756\) | −17.0974 | − | 5.68204i | −0.621826 | − | 0.206654i | ||||
\(757\) | −0.738932 | + | 1.20583i | −0.0268569 | + | 0.0438265i | −0.865787 | − | 0.500413i | \(-0.833182\pi\) |
0.838930 | + | 0.544239i | \(0.183182\pi\) | |||||||
\(758\) | 0.0198312 | − | 5.92724i | 0.000720301 | − | 0.215287i | ||||
\(759\) | −6.93164 | + | 43.7646i | −0.251602 | + | 1.58856i | ||||
\(760\) | 48.7756 | + | 4.33174i | 1.76928 | + | 0.157129i | ||||
\(761\) | −9.97511 | + | 13.7296i | −0.361598 | + | 0.497696i | −0.950593 | − | 0.310440i | \(-0.899524\pi\) |
0.588995 | + | 0.808136i | \(0.299524\pi\) | |||||||
\(762\) | −3.52872 | − | 14.9179i | −0.127832 | − | 0.540418i | ||||
\(763\) | 16.8648 | − | 12.2530i | 0.610548 | − | 0.443589i | ||||
\(764\) | −18.2375 | + | 29.3187i | −0.659810 | + | 1.06071i | ||||
\(765\) | 7.23968 | + | 17.4781i | 0.261751 | + | 0.631923i | ||||
\(766\) | −28.7751 | + | 24.4102i | −1.03969 | + | 0.881977i | ||||
\(767\) | −4.05318 | − | 0.318993i | −0.146352 | − | 0.0115182i | ||||
\(768\) | −17.8949 | + | 10.3176i | −0.645726 | + | 0.372306i | ||||
\(769\) | −44.2219 | − | 14.3686i | −1.59468 | − | 0.518144i | −0.628898 | − | 0.777488i | \(-0.716494\pi\) |
−0.965785 | + | 0.259344i | \(0.916494\pi\) | |||||||
\(770\) | −28.0795 | − | 20.5448i | −1.01191 | − | 0.740384i | ||||
\(771\) | −11.0794 | + | 5.64523i | −0.399014 | + | 0.203308i | ||||
\(772\) | −3.72221 | − | 6.16633i | −0.133965 | − | 0.221931i | ||||
\(773\) | −12.4604 | + | 51.9011i | −0.448168 | + | 1.86675i | 0.0485160 | + | 0.998822i | \(0.484551\pi\) |
−0.496684 | + | 0.867931i | \(0.665449\pi\) | |||||||
\(774\) | −3.35989 | − | 1.10414i | −0.120769 | − | 0.0396873i | ||||
\(775\) | 12.9432 | − | 4.20549i | 0.464932 | − | 0.151065i | ||||
\(776\) | −12.6066 | + | 0.864939i | −0.452551 | + | 0.0310495i | ||||
\(777\) | 2.67518 | + | 16.8904i | 0.0959716 | + | 0.605941i | ||||
\(778\) | −1.87015 | + | 0.289792i | −0.0670480 | + | 0.0103895i | ||||
\(779\) | −0.257193 | + | 28.2672i | −0.00921491 | + | 1.01278i | ||||
\(780\) | −7.36880 | − | 23.2061i | −0.263845 | − | 0.830911i | ||||
\(781\) | −19.7388 | + | 3.12633i | −0.706311 | + | 0.111869i | ||||
\(782\) | −43.7976 | − | 10.6700i | −1.56620 | − | 0.381558i | ||||
\(783\) | −5.01069 | − | 15.4213i | −0.179067 | − | 0.551113i | ||||
\(784\) | −2.52438 | − | 17.4464i | −0.0901565 | − | 0.623084i | ||||
\(785\) | 35.9152 | + | 8.62248i | 1.28187 | + | 0.307749i | ||||
\(786\) | 4.87250 | + | 11.8755i | 0.173796 | + | 0.423584i | ||||
\(787\) | 23.1128 | + | 45.3613i | 0.823881 | + | 1.61696i | 0.786447 | + | 0.617658i | \(0.211918\pi\) |
0.0374342 | + | 0.999299i | \(0.488082\pi\) | |||||||
\(788\) | −23.6240 | − | 12.2368i | −0.841570 | − | 0.435919i | ||||
\(789\) | −8.23590 | + | 25.3475i | −0.293206 | + | 0.902395i | ||||
\(790\) | 53.3154 | + | 32.9176i | 1.89688 | + | 1.17116i | ||||
\(791\) | 1.55525 | − | 19.7613i | 0.0552982 | − | 0.702630i | ||||
\(792\) | −12.4495 | − | 7.80200i | −0.442373 | − | 0.277232i | ||||
\(793\) | 15.2328 | − | 6.30964i | 0.540933 | − | 0.224062i | ||||
\(794\) | 7.73631 | + | 6.65233i | 0.274551 | + | 0.236082i | ||||
\(795\) | 18.1795 | + | 25.0220i | 0.644762 | + | 0.887439i | ||||
\(796\) | 4.08853 | − | 1.66156i | 0.144914 | − | 0.0588925i | ||||
\(797\) | −11.0260 | − | 8.01085i | −0.390561 | − | 0.283759i | 0.375124 | − | 0.926974i | \(-0.377600\pi\) |
−0.765685 | + | 0.643215i | \(0.777600\pi\) | |||||||
\(798\) | −5.00711 | + | 11.9747i | −0.177250 | + | 0.423902i | ||||
\(799\) | −18.7946 | − | 2.97677i | −0.664906 | − | 0.105311i | ||||
\(800\) | −33.7088 | − | 48.0670i | −1.19179 | − | 1.69942i | ||||
\(801\) | −3.54558 | − | 2.17274i | −0.125277 | − | 0.0767699i | ||||
\(802\) | −26.1269 | − | 13.4226i | −0.922572 | − | 0.473969i | ||||
\(803\) | 1.93540 | + | 24.5916i | 0.0682987 | + | 0.867818i | ||||
\(804\) | −8.12651 | − | 5.98774i | −0.286600 | − | 0.211171i | ||||
\(805\) | 36.1286 | + | 42.3011i | 1.27336 | + | 1.49092i | ||||
\(806\) | −2.31724 | − | 3.80995i | −0.0816214 | − | 0.134200i | ||||
\(807\) | −0.102465 | − | 0.167208i | −0.00360695 | − | 0.00588601i | ||||
\(808\) | −0.234164 | + | 0.0942517i | −0.00823787 | + | 0.00331576i | ||||
\(809\) | 11.6882 | − | 13.6851i | 0.410936 | − | 0.481144i | −0.515880 | − | 0.856661i | \(-0.672535\pi\) |
0.926815 | + | 0.375517i | \(0.122535\pi\) | |||||||
\(810\) | −2.85480 | + | 17.6423i | −0.100307 | + | 0.619886i | ||||
\(811\) | −8.49781 | − | 8.49781i | −0.298398 | − | 0.298398i | 0.541988 | − | 0.840386i | \(-0.317672\pi\) |
−0.840386 | + | 0.541988i | \(0.817672\pi\) | |||||||
\(812\) | −6.64460 | + | 6.55627i | −0.233180 | + | 0.230080i | ||||
\(813\) | −0.514067 | − | 2.14124i | −0.0180291 | − | 0.0750966i | ||||
\(814\) | −3.70720 | + | 45.1717i | −0.129937 | + | 1.58327i | ||||
\(815\) | 29.3930 | − | 57.6871i | 1.02959 | − | 2.02069i | ||||
\(816\) | −11.1841 | + | 14.9682i | −0.391523 | + | 0.523993i | ||||
\(817\) | −3.16888 | + | 7.65036i | −0.110865 | + | 0.267652i | ||||
\(818\) | 16.1907 | − | 5.20086i | 0.566096 | − | 0.181844i | ||||
\(819\) | −5.16258 | −0.180395 | ||||||||
\(820\) | 38.6978 | − | 32.0083i | 1.35139 | − | 1.11778i | ||||
\(821\) | −22.9802 | −0.802013 | −0.401006 | − | 0.916075i | \(-0.631339\pi\) | ||||
−0.401006 | + | 0.916075i | \(0.631339\pi\) | |||||||
\(822\) | −38.0890 | + | 12.2351i | −1.32851 | + | 0.426749i | ||||
\(823\) | 13.2318 | − | 31.9445i | 0.461233 | − | 1.11351i | −0.506659 | − | 0.862146i | \(-0.669120\pi\) |
0.967892 | − | 0.251367i | \(-0.0808803\pi\) | |||||||
\(824\) | −32.1705 | + | 31.5311i | −1.12071 | + | 1.09844i | ||||
\(825\) | −23.6988 | + | 46.5115i | −0.825087 | + | 1.61932i | ||||
\(826\) | 0.314941 | − | 3.83751i | 0.0109582 | − | 0.133524i | ||||
\(827\) | −3.61895 | − | 15.0740i | −0.125843 | − | 0.524175i | −0.999305 | − | 0.0372818i | \(-0.988130\pi\) |
0.873462 | − | 0.486893i | \(-0.161870\pi\) | |||||||
\(828\) | 16.4992 | + | 16.7215i | 0.573385 | + | 0.581111i | ||||
\(829\) | 12.0557 | + | 12.0557i | 0.418713 | + | 0.418713i | 0.884760 | − | 0.466047i | \(-0.154322\pi\) |
−0.466047 | + | 0.884760i | \(0.654322\pi\) | |||||||
\(830\) | −5.05553 | + | 31.2425i | −0.175480 | + | 1.08444i | ||||
\(831\) | 9.54586 | − | 11.1768i | 0.331142 | − | 0.387718i | ||||
\(832\) | −12.7845 | + | 14.3741i | −0.443223 | + | 0.498334i | ||||
\(833\) | −8.33169 | − | 13.5961i | −0.288676 | − | 0.471076i | ||||
\(834\) | 5.31567 | + | 8.73988i | 0.184066 | + | 0.302637i | ||||
\(835\) | 40.4000 | + | 47.3023i | 1.39810 | + | 1.63696i | ||||
\(836\) | −20.4056 | + | 27.6943i | −0.705744 | + | 0.957828i | ||||
\(837\) | 0.575569 | + | 7.31330i | 0.0198946 | + | 0.252784i | ||||
\(838\) | −17.9786 | − | 9.23647i | −0.621062 | − | 0.319069i | ||||
\(839\) | 31.2548 | + | 19.1530i | 1.07904 | + | 0.661234i | 0.944113 | − | 0.329622i | \(-0.106921\pi\) |
0.134923 | + | 0.990856i | \(0.456921\pi\) | |||||||
\(840\) | 22.0004 | − | 6.90500i | 0.759085 | − | 0.238245i | ||||
\(841\) | 20.3453 | + | 3.22238i | 0.701563 | + | 0.111117i | ||||
\(842\) | −7.98889 | + | 19.1058i | −0.275315 | + | 0.658431i | ||||
\(843\) | −28.2405 | − | 20.5179i | −0.972653 | − | 0.706674i | ||||
\(844\) | 4.01783 | + | 9.88651i | 0.138300 | + | 0.340308i | ||||
\(845\) | 16.6372 | + | 22.8991i | 0.572336 | + | 0.787754i | ||||
\(846\) | 7.51876 | + | 6.46526i | 0.258500 | + | 0.222280i | ||||
\(847\) | 6.21700 | − | 2.57516i | 0.213619 | − | 0.0884837i | ||||
\(848\) | 9.65272 | − | 22.4492i | 0.331476 | − | 0.770908i | ||||
\(849\) | −1.12280 | + | 14.2666i | −0.0385345 | + | 0.489627i | ||||
\(850\) | −45.1875 | − | 27.8993i | −1.54992 | − | 0.956940i | ||||
\(851\) | 22.3935 | − | 68.9202i | 0.767640 | − | 2.36255i | ||||
\(852\) | 6.09181 | − | 11.7606i | 0.208702 | − | 0.402913i | ||||
\(853\) | 2.50861 | + | 4.92342i | 0.0858931 | + | 0.168575i | 0.929957 | − | 0.367667i | \(-0.119843\pi\) |
−0.844064 | + | 0.536242i | \(0.819843\pi\) | |||||||
\(854\) | 5.92720 | + | 14.4460i | 0.202825 | + | 0.494334i | ||||
\(855\) | −22.4448 | − | 5.38853i | −0.767597 | − | 0.184284i | ||||
\(856\) | 48.7071 | + | 0.488903i | 1.66477 | + | 0.0167104i | ||||
\(857\) | −0.755309 | − | 2.32460i | −0.0258009 | − | 0.0794069i | 0.937327 | − | 0.348451i | \(-0.113292\pi\) |
−0.963128 | + | 0.269044i | \(0.913292\pi\) | |||||||
\(858\) | 16.6185 | + | 4.04861i | 0.567347 | + | 0.138217i | ||||
\(859\) | 8.89261 | − | 1.40845i | 0.303412 | − | 0.0480557i | −0.00287226 | − | 0.999996i | \(-0.500914\pi\) |
0.306284 | + | 0.951940i | \(0.400914\pi\) | |||||||
\(860\) | 14.0211 | − | 4.45223i | 0.478115 | − | 0.151820i | ||||
\(861\) | 4.98195 | + | 12.3440i | 0.169784 | + | 0.420681i | ||||
\(862\) | 11.6796 | − | 1.80983i | 0.397808 | − | 0.0616430i | ||||
\(863\) | 5.44441 | + | 34.3747i | 0.185330 | + | 1.17013i | 0.888422 | + | 0.459028i | \(0.151802\pi\) |
−0.703092 | + | 0.711099i | \(0.748198\pi\) | |||||||
\(864\) | 29.4359 | − | 11.6197i | 1.00143 | − | 0.395312i | ||||
\(865\) | −11.0474 | + | 3.58953i | −0.375624 | + | 0.122048i | ||||
\(866\) | −50.1400 | − | 16.4771i | −1.70383 | − | 0.559916i | ||||
\(867\) | 1.17779 | − | 4.90583i | 0.0399997 | − | 0.166611i | ||||
\(868\) | 3.61551 | − | 2.18244i | 0.122718 | − | 0.0740770i | ||||
\(869\) | −39.2204 | + | 19.9838i | −1.33046 | + | 0.677904i | ||||
\(870\) | 16.7481 | + | 12.2541i | 0.567815 | + | 0.415451i | ||||
\(871\) | −8.94053 | − | 2.90495i | −0.302938 | − | 0.0984306i | ||||
\(872\) | −8.90473 | + | 35.5165i | −0.301552 | + | 1.20274i | ||||
\(873\) | 5.93818 | + | 0.467345i | 0.200977 | + | 0.0158172i | ||||
\(874\) | 41.9428 | − | 35.5805i | 1.41874 | − | 1.20353i | ||||
\(875\) | 12.9970 | + | 31.3775i | 0.439379 | + | 1.06075i | ||||
\(876\) | −13.8816 | − | 8.63495i | −0.469016 | − | 0.291748i | ||||
\(877\) | 46.4813 | − | 33.7707i | 1.56956 | − | 1.14035i | 0.641991 | − | 0.766712i | \(-0.278109\pi\) |
0.927573 | − | 0.373642i | \(-0.121891\pi\) | |||||||
\(878\) | −1.58416 | − | 6.69712i | −0.0534627 | − | 0.226017i | ||||
\(879\) | −8.49092 | + | 11.6868i | −0.286392 | + | 0.394184i | ||||
\(880\) | 60.9836 | − | 3.97912i | 2.05576 | − | 0.134136i | ||||
\(881\) | 6.39698 | − | 40.3889i | 0.215520 | − | 1.36074i | −0.608219 | − | 0.793769i | \(-0.708116\pi\) |
0.823739 | − | 0.566969i | \(-0.191884\pi\) | |||||||
\(882\) | −0.0278019 | + | 8.30955i | −0.000936138 | + | 0.279797i | ||||
\(883\) | −9.96685 | + | 16.2644i | −0.335411 | + | 0.547342i | −0.975232 | − | 0.221182i | \(-0.929008\pi\) |
0.639821 | + | 0.768524i | \(0.279008\pi\) | |||||||
\(884\) | −5.48789 | + | 16.5132i | −0.184578 | + | 0.555398i | ||||
\(885\) | −8.53369 | + | 0.671616i | −0.286857 | + | 0.0225761i | ||||
\(886\) | −2.69516 | − | 2.71325i | −0.0905457 | − | 0.0911536i | ||||
\(887\) | 14.4439 | − | 12.3363i | 0.484979 | − | 0.414211i | −0.373051 | − | 0.927811i | \(-0.621688\pi\) |
0.858030 | + | 0.513600i | \(0.171688\pi\) | |||||||
\(888\) | −22.6438 | − | 19.7361i | −0.759877 | − | 0.662302i | ||||
\(889\) | 11.5279 | − | 7.06429i | 0.386632 | − | 0.236929i | ||||
\(890\) | 17.2481 | − | 1.29941i | 0.578158 | − | 0.0435562i | ||||
\(891\) | −9.54692 | − | 8.15384i | −0.319834 | − | 0.273164i | ||||
\(892\) | 0.135497 | − | 20.2488i | 0.00453678 | − | 0.677979i | ||||
\(893\) | 16.4174 | − | 16.4174i | 0.549387 | − | 0.549387i | ||||
\(894\) | 1.10310 | + | 1.52902i | 0.0368931 | + | 0.0511379i | ||||
\(895\) | −8.09240 | + | 1.94281i | −0.270499 | + | 0.0649411i | ||||
\(896\) | −13.5723 | − | 12.1529i | −0.453420 | − | 0.406001i | ||||
\(897\) | −24.3674 | − | 12.4158i | −0.813604 | − | 0.414552i | ||||
\(898\) | 8.96867 | − | 4.53203i | 0.299288 | − | 0.151236i | ||||
\(899\) | 3.51146 | + | 1.45450i | 0.117114 | + | 0.0485102i | ||||
\(900\) | 12.3987 | + | 24.7416i | 0.413288 | + | 0.824721i | ||||
\(901\) | − | 22.1046i | − | 0.736410i | ||||||
\(902\) | 5.08495 | + | 34.9115i | 0.169310 | + | 1.16243i | ||||
\(903\) | 3.89932i | 0.129761i | ||||||||
\(904\) | 20.1816 | + | 28.3721i | 0.671229 | + | 0.943643i | ||||
\(905\) | −15.5000 | − | 6.42029i | −0.515236 | − | 0.213418i | ||||
\(906\) | 19.4520 | + | 38.4945i | 0.646249 | + | 1.27889i | ||||
\(907\) | 8.27275 | + | 4.21518i | 0.274692 | + | 0.139963i | 0.585910 | − | 0.810376i | \(-0.300737\pi\) |
−0.311218 | + | 0.950338i | \(0.600737\pi\) | |||||||
\(908\) | 1.32286 | + | 18.3802i | 0.0439008 | + | 0.609969i | ||||
\(909\) | 0.115700 | − | 0.0277771i | 0.00383752 | − | 0.000921308i | ||||
\(910\) | 17.4151 | − | 12.5640i | 0.577304 | − | 0.416492i | ||||
\(911\) | −13.4550 | + | 13.4550i | −0.445784 | + | 0.445784i | −0.893950 | − | 0.448166i | \(-0.852077\pi\) |
0.448166 | + | 0.893950i | \(0.352077\pi\) | |||||||
\(912\) | −6.75423 | − | 21.7747i | −0.223655 | − | 0.721033i | ||||
\(913\) | −16.9065 | − | 14.4395i | −0.559524 | − | 0.477879i | ||||
\(914\) | 3.35831 | + | 44.5777i | 0.111083 | + | 1.47450i | ||||
\(915\) | 29.5986 | − | 18.1381i | 0.978500 | − | 0.599625i | ||||
\(916\) | −27.6396 | + | 23.2884i | −0.913240 | + | 0.769472i | ||||
\(917\) | −8.60867 | + | 7.35250i | −0.284283 | + | 0.242801i | ||||
\(918\) | 20.3095 | − | 20.1741i | 0.670315 | − | 0.665844i | ||||
\(919\) | 13.2230 | − | 1.04067i | 0.436187 | − | 0.0343287i | 0.141535 | − | 0.989933i | \(-0.454796\pi\) |
0.294652 | + | 0.955605i | \(0.404796\pi\) | |||||||
\(920\) | −96.3514 | − | 16.2535i | −3.17661 | − | 0.535863i | ||||
\(921\) | −11.5670 | + | 18.8756i | −0.381145 | + | 0.621972i | ||||
\(922\) | 18.3017 | + | 0.0612333i | 0.602734 | + | 0.00201661i | ||||
\(923\) | 1.92956 | − | 12.1828i | 0.0635124 | − | 0.401001i | ||||
\(924\) | −3.88684 | + | 15.7256i | −0.127868 | + | 0.517333i | ||||
\(925\) | 50.1806 | − | 69.0676i | 1.64993 | − | 2.27093i | ||||
\(926\) | 9.69026 | − | 2.29216i | 0.318442 | − | 0.0753252i | ||||
\(927\) | 17.1787 | − | 12.4811i | 0.564223 | − | 0.409932i | ||||
\(928\) | 1.55968 | − | 16.3218i | 0.0511989 | − | 0.535789i | ||||
\(929\) | 14.0895 | + | 34.0150i | 0.462261 | + | 1.11600i | 0.967467 | + | 0.252997i | \(0.0814164\pi\) |
−0.505206 | + | 0.862999i | \(0.668584\pi\) | |||||||
\(930\) | −6.07358 | − | 7.15961i | −0.199160 | − | 0.234773i | ||||
\(931\) | 19.3960 | + | 1.52650i | 0.635678 | + | 0.0500290i | ||||
\(932\) | −10.4216 | + | 24.6912i | −0.341369 | + | 0.808788i | ||||
\(933\) | 35.6266 | + | 11.5758i | 1.16636 | + | 0.378974i | ||||
\(934\) | −2.17424 | + | 2.97163i | −0.0711434 | + | 0.0972347i | ||||
\(935\) | 49.2561 | − | 25.0972i | 1.61085 | − | 0.820767i | ||||
\(936\) | 6.95413 | − | 5.81969i | 0.227303 | − | 0.190223i | ||||
\(937\) | −7.46421 | + | 31.0907i | −0.243845 | + | 1.01569i | 0.707293 | + | 0.706921i | \(0.249916\pi\) |
−0.951138 | + | 0.308767i | \(0.900084\pi\) | |||||||
\(938\) | 2.77943 | − | 8.45781i | 0.0907516 | − | 0.276157i | ||||
\(939\) | −15.0927 | + | 4.90393i | −0.492533 | + | 0.160034i | ||||
\(940\) | −41.0975 | − | 3.51130i | −1.34045 | − | 0.114526i | ||||
\(941\) | 0.154363 | + | 0.974607i | 0.00503208 | + | 0.0317713i | 0.990077 | − | 0.140529i | \(-0.0448802\pi\) |
−0.985045 | + | 0.172300i | \(0.944880\pi\) | |||||||
\(942\) | −2.63327 | − | 16.9936i | −0.0857967 | − | 0.553682i | ||||
\(943\) | 4.93720 | − | 56.1918i | 0.160777 | − | 1.82986i | ||||
\(944\) | 3.90172 | + | 5.52425i | 0.126990 | + | 0.179799i | ||||
\(945\) | −34.8918 | + | 5.52632i | −1.13503 | + | 0.179771i | ||||
\(946\) | −2.44617 | + | 10.0409i | −0.0795318 | + | 0.326458i | ||||
\(947\) | −2.54115 | − | 7.82085i | −0.0825762 | − | 0.254144i | 0.901241 | − | 0.433318i | \(-0.142657\pi\) |
−0.983817 | + | 0.179175i | \(0.942657\pi\) | |||||||
\(948\) | 4.75627 | − | 28.7821i | 0.154477 | − | 0.934799i | ||||
\(949\) | −14.8042 | − | 3.55416i | −0.480563 | − | 0.115373i | ||||
\(950\) | 59.9468 | − | 24.5961i | 1.94493 | − | 0.798004i | ||||
\(951\) | −11.3146 | − | 22.2062i | −0.366902 | − | 0.720086i | ||||
\(952\) | −15.6212 | − | 5.24956i | −0.506287 | − | 0.170139i | ||||
\(953\) | 7.33854 | − | 22.5857i | 0.237719 | − | 0.731623i | −0.759030 | − | 0.651055i | \(-0.774327\pi\) |
0.996749 | − | 0.0805679i | \(-0.0256734\pi\) | |||||||
\(954\) | −6.05148 | + | 9.80136i | −0.195924 | + | 0.317331i | ||||
\(955\) | −5.31180 | + | 67.4928i | −0.171886 | + | 2.18402i | ||||
\(956\) | 31.5491 | − | 36.4426i | 1.02037 | − | 1.17864i | ||||
\(957\) | −13.4690 | + | 5.57903i | −0.435390 | + | 0.180344i | ||||
\(958\) | 21.3294 | − | 24.8049i | 0.689120 | − | 0.801411i | ||||
\(959\) | −20.7394 | − | 28.5453i | −0.669710 | − | 0.921777i | ||||
\(960\) | −21.8512 | + | 34.1019i | −0.705243 | + | 1.10063i | ||||
\(961\) | 23.6884 | + | 17.2106i | 0.764142 | + | 0.555181i | ||||
\(962\) | −25.8084 | − | 10.7915i | −0.832095 | − | 0.347931i | ||||
\(963\) | −22.6783 | − | 3.59188i | −0.730797 | − | 0.115747i | ||||
\(964\) | −23.4097 | + | 3.54733i | −0.753977 | + | 0.114252i | ||||
\(965\) | −12.0416 | − | 7.37910i | −0.387633 | − | 0.237542i | ||||
\(966\) | 11.8355 | − | 23.0375i | 0.380799 | − | 0.741220i | ||||
\(967\) | −0.890280 | − | 11.3121i | −0.0286295 | − | 0.363772i | −0.994499 | − | 0.104744i | \(-0.966598\pi\) |
0.965870 | − | 0.259028i | \(-0.0834022\pi\) | |||||||
\(968\) | −5.47151 | + | 10.4771i | −0.175861 | + | 0.336747i | ||||
\(969\) | −13.3933 | − | 15.6816i | −0.430256 | − | 0.503765i | ||||
\(970\) | −21.1688 | + | 12.8750i | −0.679689 | + | 0.413392i | ||||
\(971\) | −2.63448 | − | 4.29909i | −0.0845446 | − | 0.137964i | 0.807573 | − | 0.589768i | \(-0.200781\pi\) |
−0.892117 | + | 0.451804i | \(0.850781\pi\) | |||||||
\(972\) | −24.5867 | + | 5.72901i | −0.788618 | + | 0.183758i | ||||
\(973\) | −5.85937 | + | 6.86044i | −0.187843 | + | 0.219936i | ||||
\(974\) | −1.30841 | − | 0.211722i | −0.0419243 | − | 0.00678402i | ||||
\(975\) | −22.7819 | − | 22.7819i | −0.729605 | − | 0.729605i | ||||
\(976\) | −24.2689 | − | 12.7776i | −0.776828 | − | 0.408999i | ||||
\(977\) | −12.7189 | − | 52.9779i | −0.406912 | − | 1.69491i | −0.680238 | − | 0.732991i | \(-0.738124\pi\) |
0.273326 | − | 0.961921i | \(-0.411876\pi\) | |||||||
\(978\) | −30.0422 | − | 2.46554i | −0.960644 | − | 0.0788392i | ||||
\(979\) | −5.51656 | + | 10.8269i | −0.176310 | + | 0.346028i | ||||
\(980\) | −20.1289 | − | 28.0985i | −0.642993 | − | 0.897573i | ||||
\(981\) | 6.60518 | − | 15.9463i | 0.210887 | − | 0.509127i | ||||
\(982\) | 9.39808 | + | 29.2570i | 0.299905 | + | 0.933629i | ||||
\(983\) | 5.15354 | 0.164373 | 0.0821863 | − | 0.996617i | \(-0.473810\pi\) | ||||
0.0821863 | + | 0.996617i | \(0.473810\pi\) | |||||||
\(984\) | −20.6260 | − | 11.0116i | −0.657531 | − | 0.351036i | ||||
\(985\) | −52.1663 | −1.66216 | ||||||||
\(986\) | −4.53597 | − | 14.1209i | −0.144455 | − | 0.449700i | ||||
\(987\) | 4.18390 | − | 10.1008i | 0.133175 | − | 0.321513i | ||||
\(988\) | −12.3645 | − | 17.2599i | −0.393366 | − | 0.549111i | ||||
\(989\) | 7.50162 | − | 14.7228i | 0.238538 | − | 0.468157i | ||||
\(990\) | −28.7113 | − | 2.35631i | −0.912507 | − | 0.0748886i | ||||
\(991\) | 6.28539 | + | 26.1805i | 0.199662 | + | 0.831652i | 0.978803 | + | 0.204803i | \(0.0656555\pi\) |
−0.779141 | + | 0.626848i | \(0.784345\pi\) | |||||||
\(992\) | −2.40995 | + | 7.01551i | −0.0765160 | + | 0.222743i | ||||
\(993\) | 13.1952 | + | 13.1952i | 0.418739 | + | 0.418739i | ||||
\(994\) | 11.5315 | + | 1.86597i | 0.365755 | + | 0.0591851i | ||||
\(995\) | 5.61990 | − | 6.58006i | 0.178163 | − | 0.208602i | ||||
\(996\) | 14.3506 | − | 3.34386i | 0.454715 | − | 0.105954i | ||||
\(997\) | −0.166433 | − | 0.271593i | −0.00527097 | − | 0.00860144i | 0.849994 | − | 0.526793i | \(-0.176606\pi\) |
−0.855265 | + | 0.518191i | \(0.826606\pi\) | |||||||
\(998\) | −13.8820 | + | 8.44313i | −0.439426 | + | 0.267263i | ||||
\(999\) | 29.8869 | + | 34.9931i | 0.945581 | + | 1.10713i |
(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 | 164.2.o.b.11.12 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.11.9 | ✓ | 288 | |
41.15 | odd | 40 | inner | 164.2.o.b.15.9 | yes | 288 | |
164.15 | even | 40 | inner | 164.2.o.b.15.12 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.11.9 | ✓ | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.11.12 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.15.9 | yes | 288 | 41.15 | odd | 40 | inner | |
164.2.o.b.15.12 | yes | 288 | 164.15 | even | 40 | inner |