Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(107,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 15, 44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bs (of order \(60\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 107.5 | ||
Character | \(\chi\) | \(=\) | 930.107 |
Dual form | 930.2.bs.a.113.5 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{11}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | −1.61622 | − | 0.622763i | −0.933125 | − | 0.359552i | ||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −0.949618 | + | 2.02441i | −0.424682 | + | 0.905343i | ||||
\(6\) | 0.178863 | + | 1.72279i | 0.0730204 | + | 0.703326i | ||||
\(7\) | 0.463591 | − | 0.375409i | 0.175221 | − | 0.141891i | −0.537698 | − | 0.843137i | \(-0.680706\pi\) |
0.712919 | + | 0.701246i | \(0.247373\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | 2.22433 | + | 2.01304i | 0.741444 | + | 0.671014i | ||||
\(10\) | 2.23488 | − | 0.0729461i | 0.706730 | − | 0.0230676i | ||||
\(11\) | −0.839446 | − | 1.88543i | −0.253103 | − | 0.568478i | 0.741650 | − | 0.670787i | \(-0.234044\pi\) |
−0.994753 | + | 0.102309i | \(0.967377\pi\) | |||||||
\(12\) | 1.45382 | − | 0.941498i | 0.419680 | − | 0.271787i | ||||
\(13\) | 1.28984 | − | 0.837629i | 0.357736 | − | 0.232316i | −0.353240 | − | 0.935533i | \(-0.614920\pi\) |
0.710976 | + | 0.703216i | \(0.248253\pi\) | |||||||
\(14\) | −0.544957 | − | 0.242631i | −0.145646 | − | 0.0648458i | ||||
\(15\) | 2.79552 | − | 2.68050i | 0.721799 | − | 0.692102i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 1.43780 | − | 0.551919i | 0.348717 | − | 0.133860i | −0.177704 | − | 0.984084i | \(-0.556867\pi\) |
0.526421 | + | 0.850224i | \(0.323534\pi\) | |||||||
\(18\) | 0.783809 | − | 2.89580i | 0.184745 | − | 0.682546i | ||||
\(19\) | −0.0719150 | − | 0.338333i | −0.0164984 | − | 0.0776190i | 0.969128 | − | 0.246557i | \(-0.0792994\pi\) |
−0.985627 | + | 0.168938i | \(0.945966\pi\) | |||||||
\(20\) | −1.07961 | − | 1.95817i | −0.241408 | − | 0.437861i | ||||
\(21\) | −0.983055 | + | 0.318035i | −0.214520 | + | 0.0694010i | ||||
\(22\) | −1.29883 | + | 1.60392i | −0.276911 | + | 0.341957i | ||||
\(23\) | −3.89805 | − | 0.617391i | −0.812800 | − | 0.128735i | −0.263822 | − | 0.964571i | \(-0.584983\pi\) |
−0.548978 | + | 0.835837i | \(0.684983\pi\) | |||||||
\(24\) | −1.49890 | − | 0.867928i | −0.305962 | − | 0.177165i | ||||
\(25\) | −3.19645 | − | 3.84483i | −0.639290 | − | 0.768965i | ||||
\(26\) | −1.33191 | − | 0.768976i | −0.261208 | − | 0.150809i | ||||
\(27\) | −2.34136 | − | 4.63875i | −0.450595 | − | 0.892728i | ||||
\(28\) | 0.0312200 | + | 0.595712i | 0.00590002 | + | 0.112579i | ||||
\(29\) | −2.11711 | + | 6.51581i | −0.393138 | + | 1.20995i | 0.537264 | + | 0.843414i | \(0.319458\pi\) |
−0.930402 | + | 0.366541i | \(0.880542\pi\) | |||||||
\(30\) | −3.65748 | − | 1.27390i | −0.667762 | − | 0.232582i | ||||
\(31\) | −3.18205 | + | 4.56887i | −0.571513 | + | 0.820593i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 0.182556 | + | 3.57004i | 0.0317789 | + | 0.621464i | ||||
\(34\) | −1.14451 | − | 1.03052i | −0.196282 | − | 0.176733i | ||||
\(35\) | 0.319746 | + | 1.29499i | 0.0540469 | + | 0.218894i | ||||
\(36\) | −2.93602 | + | 0.616286i | −0.489336 | + | 0.102714i | ||||
\(37\) | −0.559713 | + | 2.08888i | −0.0920163 | + | 0.343410i | −0.996550 | − | 0.0829922i | \(-0.973552\pi\) |
0.904534 | + | 0.426402i | \(0.140219\pi\) | |||||||
\(38\) | −0.268809 | + | 0.217677i | −0.0436065 | + | 0.0353119i | ||||
\(39\) | −2.60630 | + | 0.550531i | −0.417342 | + | 0.0881555i | ||||
\(40\) | −1.25461 | + | 1.85093i | −0.198372 | + | 0.292658i | ||||
\(41\) | −3.71846 | + | 3.34811i | −0.580725 | + | 0.522887i | −0.906303 | − | 0.422628i | \(-0.861108\pi\) |
0.325578 | + | 0.945515i | \(0.394441\pi\) | |||||||
\(42\) | 0.729669 | + | 0.731524i | 0.112590 | + | 0.112877i | ||||
\(43\) | 2.76977 | − | 4.26508i | 0.422387 | − | 0.650418i | −0.561857 | − | 0.827234i | \(-0.689913\pi\) |
0.984244 | + | 0.176816i | \(0.0565797\pi\) | |||||||
\(44\) | 2.01876 | + | 0.429100i | 0.304339 | + | 0.0646893i | ||||
\(45\) | −6.18749 | + | 2.59133i | −0.922376 | + | 0.386293i | ||||
\(46\) | 1.21958 | + | 3.75348i | 0.179817 | + | 0.553420i | ||||
\(47\) | −3.84537 | − | 1.95931i | −0.560905 | − | 0.285795i | 0.150462 | − | 0.988616i | \(-0.451924\pi\) |
−0.711367 | + | 0.702820i | \(0.751924\pi\) | |||||||
\(48\) | −0.0928433 | + | 1.72956i | −0.0134008 | + | 0.249641i | ||||
\(49\) | −1.38140 | + | 6.49896i | −0.197342 | + | 0.928423i | ||||
\(50\) | −1.97461 | + | 4.59357i | −0.279252 | + | 0.649630i | ||||
\(51\) | −2.66751 | − | 0.00338488i | −0.373526 | − | 0.000473978i | ||||
\(52\) | −0.0804902 | + | 1.53584i | −0.0111620 | + | 0.212983i | ||||
\(53\) | 1.04873 | − | 1.29507i | 0.144054 | − | 0.177892i | −0.700012 | − | 0.714131i | \(-0.746822\pi\) |
0.844066 | + | 0.536239i | \(0.180156\pi\) | |||||||
\(54\) | −3.07020 | + | 4.19212i | −0.417802 | + | 0.570475i | ||||
\(55\) | 4.61403 | + | 0.0910539i | 0.622155 | + | 0.0122777i | ||||
\(56\) | 0.516610 | − | 0.298265i | 0.0690349 | − | 0.0398573i | ||||
\(57\) | −0.0944711 | + | 0.591607i | −0.0125130 | + | 0.0783603i | ||||
\(58\) | 6.76678 | − | 1.07175i | 0.888521 | − | 0.140728i | ||||
\(59\) | 2.24166 | − | 2.48961i | 0.291839 | − | 0.324120i | −0.579340 | − | 0.815086i | \(-0.696689\pi\) |
0.871179 | + | 0.490966i | \(0.163356\pi\) | |||||||
\(60\) | 0.525407 | + | 3.83718i | 0.0678298 | + | 0.495378i | ||||
\(61\) | −8.05452 | −1.03128 | −0.515638 | − | 0.856807i | \(-0.672445\pi\) | ||||
−0.515638 | + | 0.856807i | \(0.672445\pi\) | |||||||
\(62\) | 5.51551 | + | 0.761005i | 0.700471 | + | 0.0966478i | ||||
\(63\) | 1.78689 | + | 0.0981951i | 0.225127 | + | 0.0123714i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | 0.470851 | + | 3.40658i | 0.0584019 | + | 0.422534i | ||||
\(66\) | 3.09805 | − | 1.78342i | 0.381344 | − | 0.219524i | ||||
\(67\) | −6.46480 | + | 1.73224i | −0.789801 | + | 0.211627i | −0.631101 | − | 0.775700i | \(-0.717397\pi\) |
−0.158700 | + | 0.987327i | \(0.550730\pi\) | |||||||
\(68\) | −0.398605 | + | 1.48761i | −0.0483379 | + | 0.180400i | ||||
\(69\) | 5.91562 | + | 3.42540i | 0.712157 | + | 0.412370i | ||||
\(70\) | 1.00868 | − | 0.872809i | 0.120561 | − | 0.104321i | ||||
\(71\) | −11.2306 | + | 1.18038i | −1.33283 | + | 0.140086i | −0.744004 | − | 0.668176i | \(-0.767075\pi\) |
−0.588824 | + | 0.808261i | \(0.700409\pi\) | |||||||
\(72\) | 1.88204 | + | 2.33622i | 0.221800 | + | 0.275326i | ||||
\(73\) | −0.119430 | + | 0.311127i | −0.0139783 | + | 0.0364146i | −0.940392 | − | 0.340092i | \(-0.889542\pi\) |
0.926414 | + | 0.376507i | \(0.122875\pi\) | |||||||
\(74\) | 2.11531 | − | 0.449623i | 0.245900 | − | 0.0522676i | ||||
\(75\) | 2.77175 | + | 8.20472i | 0.320054 | + | 0.947399i | ||||
\(76\) | 0.315988 | + | 0.140687i | 0.0362463 | + | 0.0161379i | ||||
\(77\) | −1.09697 | − | 0.558932i | −0.125011 | − | 0.0636962i | ||||
\(78\) | 1.67376 | + | 2.07230i | 0.189516 | + | 0.234641i | ||||
\(79\) | −6.17323 | + | 13.8653i | −0.694543 | + | 1.55997i | 0.128323 | + | 0.991732i | \(0.459041\pi\) |
−0.822866 | + | 0.568236i | \(0.807626\pi\) | |||||||
\(80\) | 2.21877 | + | 0.277564i | 0.248066 | + | 0.0310326i | ||||
\(81\) | 0.895313 | + | 8.95536i | 0.0994792 | + | 0.995040i | ||||
\(82\) | 4.67133 | + | 1.79316i | 0.515863 | + | 0.198021i | ||||
\(83\) | 0.448678 | − | 8.56129i | 0.0492488 | − | 0.939724i | −0.856563 | − | 0.516043i | \(-0.827404\pi\) |
0.905812 | − | 0.423681i | \(-0.139262\pi\) | |||||||
\(84\) | 0.320529 | − | 0.982245i | 0.0349726 | − | 0.107172i | ||||
\(85\) | −0.248050 | + | 3.43480i | −0.0269048 | + | 0.372557i | ||||
\(86\) | −5.05766 | − | 0.531582i | −0.545382 | − | 0.0573219i | ||||
\(87\) | 7.47952 | − | 9.21252i | 0.801889 | − | 0.987685i | ||||
\(88\) | −0.534166 | − | 1.99353i | −0.0569422 | − | 0.212511i | ||||
\(89\) | 5.96446 | + | 4.33343i | 0.632231 | + | 0.459343i | 0.857172 | − | 0.515030i | \(-0.172219\pi\) |
−0.224941 | + | 0.974372i | \(0.572219\pi\) | |||||||
\(90\) | 5.11796 | + | 4.33665i | 0.539480 | + | 0.457123i | ||||
\(91\) | 0.283503 | − | 0.872532i | 0.0297192 | − | 0.0914662i | ||||
\(92\) | 2.79070 | − | 2.79070i | 0.290950 | − | 0.290950i | ||||
\(93\) | 7.98821 | − | 5.40263i | 0.828339 | − | 0.560227i | ||||
\(94\) | 4.31576i | 0.445137i | ||||||||
\(95\) | 0.753217 | + | 0.175702i | 0.0772784 | + | 0.0180267i | ||||
\(96\) | 1.58320 | − | 0.702480i | 0.161585 | − | 0.0716966i | ||||
\(97\) | 1.58980 | + | 10.0376i | 0.161420 | + | 1.01917i | 0.926791 | + | 0.375577i | \(0.122555\pi\) |
−0.765371 | + | 0.643589i | \(0.777445\pi\) | |||||||
\(98\) | 6.41776 | − | 1.71963i | 0.648291 | − | 0.173709i | ||||
\(99\) | 1.92824 | − | 5.88366i | 0.193795 | − | 0.591330i | ||||
\(100\) | 4.98936 | − | 0.326051i | 0.498936 | − | 0.0326051i | ||||
\(101\) | −7.82617 | − | 10.7718i | −0.778733 | − | 1.07183i | −0.995421 | − | 0.0955930i | \(-0.969525\pi\) |
0.216688 | − | 0.976241i | \(-0.430475\pi\) | |||||||
\(102\) | 1.20801 | + | 2.37831i | 0.119611 | + | 0.235488i | ||||
\(103\) | −7.77536 | − | 0.407489i | −0.766129 | − | 0.0401511i | −0.334732 | − | 0.942313i | \(-0.608646\pi\) |
−0.431397 | + | 0.902162i | \(0.641979\pi\) | |||||||
\(104\) | 1.40499 | − | 0.625541i | 0.137771 | − | 0.0613394i | ||||
\(105\) | 0.289693 | − | 2.29212i | 0.0282712 | − | 0.223688i | ||||
\(106\) | −1.63003 | − | 0.346473i | −0.158322 | − | 0.0336524i | ||||
\(107\) | −0.752149 | + | 0.288723i | −0.0727130 | + | 0.0279119i | −0.394453 | − | 0.918916i | \(-0.629066\pi\) |
0.321740 | + | 0.946828i | \(0.395732\pi\) | |||||||
\(108\) | 5.12905 | + | 0.832388i | 0.493543 | + | 0.0800966i | ||||
\(109\) | −16.0685 | + | 5.22096i | −1.53908 | + | 0.500078i | −0.951123 | − | 0.308814i | \(-0.900068\pi\) |
−0.587958 | + | 0.808891i | \(0.700068\pi\) | |||||||
\(110\) | −2.01359 | − | 4.15247i | −0.191989 | − | 0.395922i | ||||
\(111\) | 2.20550 | − | 3.02752i | 0.209336 | − | 0.287359i | ||||
\(112\) | −0.500292 | − | 0.324894i | −0.0472732 | − | 0.0306996i | ||||
\(113\) | 0.917913 | + | 0.352354i | 0.0863500 | + | 0.0331467i | 0.401160 | − | 0.916008i | \(-0.368607\pi\) |
−0.314810 | + | 0.949155i | \(0.601941\pi\) | |||||||
\(114\) | 0.570015 | − | 0.184410i | 0.0533868 | − | 0.0172716i | ||||
\(115\) | 4.95151 | − | 7.30496i | 0.461731 | − | 0.681191i | ||||
\(116\) | −4.02699 | − | 5.54268i | −0.373897 | − | 0.514625i | ||||
\(117\) | 4.55521 | + | 0.733329i | 0.421129 | + | 0.0677963i | ||||
\(118\) | −3.23595 | − | 0.867071i | −0.297894 | − | 0.0798204i | ||||
\(119\) | 0.459355 | − | 0.795626i | 0.0421090 | − | 0.0729349i | ||||
\(120\) | 3.18042 | − | 2.21018i | 0.290332 | − | 0.201761i | ||||
\(121\) | 4.51027 | − | 5.00916i | 0.410025 | − | 0.455378i | ||||
\(122\) | 3.65667 | + | 7.17663i | 0.331060 | + | 0.649741i | ||||
\(123\) | 8.09492 | − | 3.09557i | 0.729895 | − | 0.279118i | ||||
\(124\) | −1.82593 | − | 5.25985i | −0.163973 | − | 0.472348i | ||||
\(125\) | 10.8189 | − | 2.81980i | 0.967672 | − | 0.252211i | ||||
\(126\) | −0.723740 | − | 1.63671i | −0.0644759 | − | 0.145810i | ||||
\(127\) | 0.861785 | − | 0.0451642i | 0.0764710 | − | 0.00400768i | −0.0140621 | − | 0.999901i | \(-0.504476\pi\) |
0.0905331 | + | 0.995893i | \(0.471143\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −7.13269 | + | 5.16839i | −0.627999 | + | 0.455051i | ||||
\(130\) | 2.82152 | − | 1.96609i | 0.247464 | − | 0.172437i | ||||
\(131\) | −1.11327 | − | 0.117009i | −0.0972666 | − | 0.0102231i | 0.0557701 | − | 0.998444i | \(-0.482239\pi\) |
−0.153037 | + | 0.988221i | \(0.548905\pi\) | |||||||
\(132\) | −2.99553 | − | 1.95073i | −0.260727 | − | 0.169789i | ||||
\(133\) | −0.160352 | − | 0.129851i | −0.0139043 | − | 0.0112595i | ||||
\(134\) | 4.47839 | + | 4.97376i | 0.386874 | + | 0.429667i | ||||
\(135\) | 11.6141 | − | 0.334829i | 0.999585 | − | 0.0288175i | ||||
\(136\) | 1.50644 | − | 0.320203i | 0.129176 | − | 0.0274572i | ||||
\(137\) | −6.50230 | + | 4.22264i | −0.555529 | + | 0.360765i | −0.791665 | − | 0.610955i | \(-0.790786\pi\) |
0.236136 | + | 0.971720i | \(0.424119\pi\) | |||||||
\(138\) | 0.366419 | − | 6.82596i | 0.0311917 | − | 0.581064i | ||||
\(139\) | −4.39906 | + | 1.42934i | −0.373123 | + | 0.121235i | −0.489575 | − | 0.871961i | \(-0.662848\pi\) |
0.116452 | + | 0.993196i | \(0.462848\pi\) | |||||||
\(140\) | −1.23561 | − | 0.502497i | −0.104428 | − | 0.0424688i | ||||
\(141\) | 4.99478 | + | 5.56144i | 0.420636 | + | 0.468357i | ||||
\(142\) | 6.15032 | + | 9.47066i | 0.516123 | + | 0.794760i | ||||
\(143\) | −2.66204 | − | 1.72875i | −0.222611 | − | 0.144565i | ||||
\(144\) | 1.22716 | − | 2.73753i | 0.102263 | − | 0.228128i | ||||
\(145\) | −11.1802 | − | 10.4734i | −0.928465 | − | 0.869771i | ||||
\(146\) | 0.331436 | − | 0.0348353i | 0.0274298 | − | 0.00288299i | ||||
\(147\) | 6.27995 | − | 9.64347i | 0.517962 | − | 0.795380i | ||||
\(148\) | −1.36095 | − | 1.68063i | −0.111869 | − | 0.138147i | ||||
\(149\) | −0.975371 | − | 1.68939i | −0.0799055 | − | 0.138400i | 0.823303 | − | 0.567601i | \(-0.192129\pi\) |
−0.903209 | + | 0.429201i | \(0.858795\pi\) | |||||||
\(150\) | 6.05211 | − | 6.19451i | 0.494152 | − | 0.505780i | ||||
\(151\) | 4.80404 | + | 3.49034i | 0.390947 | + | 0.284040i | 0.765844 | − | 0.643027i | \(-0.222322\pi\) |
−0.374896 | + | 0.927067i | \(0.622322\pi\) | |||||||
\(152\) | −0.0181026 | − | 0.345418i | −0.00146831 | − | 0.0280171i | ||||
\(153\) | 4.30918 | + | 1.66670i | 0.348376 | + | 0.134745i | ||||
\(154\) | 1.23115i | 0.0992091i | ||||||||
\(155\) | −6.22752 | − | 10.7804i | −0.500206 | − | 0.865906i | ||||
\(156\) | 1.08656 | − | 2.43214i | 0.0869942 | − | 0.194727i | ||||
\(157\) | −19.9204 | + | 10.1500i | −1.58982 | + | 0.810054i | −0.589824 | + | 0.807532i | \(0.700803\pi\) |
−0.999997 | + | 0.00252279i | \(0.999197\pi\) | |||||||
\(158\) | 15.1567 | − | 0.794327i | 1.20580 | − | 0.0631933i | ||||
\(159\) | −2.50149 | + | 1.44001i | −0.198381 | + | 0.114200i | ||||
\(160\) | −0.759991 | − | 2.10295i | −0.0600826 | − | 0.166253i | ||||
\(161\) | −2.03887 | + | 1.17714i | −0.160686 | + | 0.0927720i | ||||
\(162\) | 7.57282 | − | 4.86338i | 0.594977 | − | 0.382103i | ||||
\(163\) | −0.298628 | + | 1.88546i | −0.0233903 | + | 0.147681i | −0.996619 | − | 0.0821563i | \(-0.973819\pi\) |
0.973229 | + | 0.229837i | \(0.0738193\pi\) | |||||||
\(164\) | −0.523027 | − | 4.97627i | −0.0408415 | − | 0.388581i | ||||
\(165\) | −7.40058 | − | 3.02061i | −0.576134 | − | 0.235154i | ||||
\(166\) | −7.83186 | + | 3.48697i | −0.607870 | + | 0.270641i | ||||
\(167\) | 0.0788804 | − | 0.121465i | 0.00610395 | − | 0.00939926i | −0.835605 | − | 0.549330i | \(-0.814883\pi\) |
0.841709 | + | 0.539931i | \(0.181550\pi\) | |||||||
\(168\) | −1.02070 | + | 0.160336i | −0.0787490 | + | 0.0123702i | ||||
\(169\) | −4.32552 | + | 9.71529i | −0.332733 | + | 0.747330i | ||||
\(170\) | 3.17304 | − | 1.33835i | 0.243361 | − | 0.102647i | ||||
\(171\) | 0.521117 | − | 0.897334i | 0.0398508 | − | 0.0686209i | ||||
\(172\) | 1.82249 | + | 4.74774i | 0.138963 | + | 0.362012i | ||||
\(173\) | −11.9718 | − | 18.4350i | −0.910201 | − | 1.40159i | −0.915814 | − | 0.401603i | \(-0.868453\pi\) |
0.00561265 | − | 0.999984i | \(-0.498213\pi\) | |||||||
\(174\) | −11.6040 | − | 2.48191i | −0.879700 | − | 0.188153i | ||||
\(175\) | −2.92523 | − | 0.582452i | −0.221126 | − | 0.0440292i | ||||
\(176\) | −1.53374 | + | 1.38099i | −0.115610 | + | 0.104096i | ||||
\(177\) | −5.17345 | + | 2.62774i | −0.388861 | + | 0.197513i | ||||
\(178\) | 1.15331 | − | 7.28170i | 0.0864441 | − | 0.545787i | ||||
\(179\) | 0.429168 | − | 4.08326i | 0.0320775 | − | 0.305197i | −0.966706 | − | 0.255889i | \(-0.917632\pi\) |
0.998784 | − | 0.0493079i | \(-0.0157016\pi\) | |||||||
\(180\) | 1.54048 | − | 6.52893i | 0.114821 | − | 0.486638i | ||||
\(181\) | 5.53677 | − | 9.58997i | 0.411545 | − | 0.712817i | −0.583514 | − | 0.812103i | \(-0.698323\pi\) |
0.995059 | + | 0.0992861i | \(0.0316559\pi\) | |||||||
\(182\) | −0.906139 | + | 0.143518i | −0.0671675 | + | 0.0106383i | ||||
\(183\) | 13.0179 | + | 5.01605i | 0.962309 | + | 0.370797i | ||||
\(184\) | −3.75348 | − | 1.21958i | −0.276710 | − | 0.0899086i | ||||
\(185\) | −3.69723 | − | 3.11672i | −0.271826 | − | 0.229146i | ||||
\(186\) | −8.44035 | − | 4.66481i | −0.618877 | − | 0.342040i | ||||
\(187\) | −2.24756 | − | 2.24756i | −0.164358 | − | 0.164358i | ||||
\(188\) | 3.84537 | − | 1.95931i | 0.280452 | − | 0.142898i | ||||
\(189\) | −2.82686 | − | 1.27152i | −0.205624 | − | 0.0924892i | ||||
\(190\) | −0.185401 | − | 0.750888i | −0.0134504 | − | 0.0544751i | ||||
\(191\) | 12.1969 | + | 7.04191i | 0.882540 | + | 0.509535i | 0.871495 | − | 0.490404i | \(-0.163151\pi\) |
0.0110451 | + | 0.999939i | \(0.496484\pi\) | |||||||
\(192\) | −1.34467 | − | 1.09172i | −0.0970433 | − | 0.0787883i | ||||
\(193\) | −0.0178341 | − | 0.0220232i | −0.00128372 | − | 0.00158527i | 0.776504 | − | 0.630113i | \(-0.216991\pi\) |
−0.777787 | + | 0.628527i | \(0.783658\pi\) | |||||||
\(194\) | 8.22183 | − | 5.97351i | 0.590293 | − | 0.428873i | ||||
\(195\) | 1.36049 | − | 5.79901i | 0.0974268 | − | 0.415276i | ||||
\(196\) | −4.44581 | − | 4.93757i | −0.317558 | − | 0.352683i | ||||
\(197\) | 2.42576 | − | 6.31931i | 0.172828 | − | 0.450232i | −0.819619 | − | 0.572909i | \(-0.805815\pi\) |
0.992447 | + | 0.122677i | \(0.0391480\pi\) | |||||||
\(198\) | −6.11778 | + | 0.953052i | −0.434772 | + | 0.0677305i | ||||
\(199\) | 3.74644 | − | 17.6256i | 0.265578 | − | 1.24945i | −0.619868 | − | 0.784706i | \(-0.712814\pi\) |
0.885446 | − | 0.464741i | \(-0.153853\pi\) | |||||||
\(200\) | −2.55563 | − | 4.29753i | −0.180711 | − | 0.303881i | ||||
\(201\) | 11.5273 | + | 1.22636i | 0.813074 | + | 0.0865008i | ||||
\(202\) | −6.04474 | + | 11.8635i | −0.425306 | + | 0.834710i | ||||
\(203\) | 1.46461 | + | 3.81545i | 0.102796 | + | 0.267792i | ||||
\(204\) | 1.57066 | − | 2.15607i | 0.109968 | − | 0.150955i | ||||
\(205\) | −3.24683 | − | 10.7071i | −0.226769 | − | 0.747816i | ||||
\(206\) | 3.16686 | + | 7.11289i | 0.220646 | + | 0.495579i | ||||
\(207\) | −7.42773 | − | 9.22023i | −0.516263 | − | 0.640850i | ||||
\(208\) | −1.19521 | − | 0.967865i | −0.0828731 | − | 0.0671093i | ||||
\(209\) | −0.577534 | + | 0.419603i | −0.0399489 | + | 0.0290246i | ||||
\(210\) | −2.17381 | + | 0.782480i | −0.150007 | + | 0.0539963i | ||||
\(211\) | −10.8276 | − | 18.7540i | −0.745404 | − | 1.29108i | −0.950006 | − | 0.312232i | \(-0.898923\pi\) |
0.204602 | − | 0.978845i | \(-0.434410\pi\) | |||||||
\(212\) | 0.431307 | + | 1.60966i | 0.0296223 | + | 0.110552i | ||||
\(213\) | 18.8862 | + | 5.08624i | 1.29406 | + | 0.348504i | ||||
\(214\) | 0.598722 | + | 0.539092i | 0.0409278 | + | 0.0368516i | ||||
\(215\) | 6.00403 | + | 9.65734i | 0.409471 | + | 0.658625i | ||||
\(216\) | −1.58688 | − | 4.94791i | −0.107973 | − | 0.336663i | ||||
\(217\) | 0.240022 | + | 3.31265i | 0.0162938 | + | 0.224878i | ||||
\(218\) | 11.9468 | + | 11.9468i | 0.809143 | + | 0.809143i | ||||
\(219\) | 0.386784 | − | 0.428472i | 0.0261364 | − | 0.0289535i | ||||
\(220\) | −2.78572 | + | 3.67931i | −0.187813 | + | 0.248059i | ||||
\(221\) | 1.39222 | − | 1.91623i | 0.0936508 | − | 0.128899i | ||||
\(222\) | −3.69881 | − | 0.590647i | −0.248248 | − | 0.0396416i | ||||
\(223\) | 15.8176 | + | 4.23832i | 1.05923 | + | 0.283819i | 0.746059 | − | 0.665880i | \(-0.231944\pi\) |
0.313167 | + | 0.949698i | \(0.398610\pi\) | |||||||
\(224\) | −0.0623544 | + | 0.593262i | −0.00416623 | + | 0.0396390i | ||||
\(225\) | 0.629831 | − | 14.9868i | 0.0419887 | − | 0.999118i | ||||
\(226\) | −0.102774 | − | 0.977832i | −0.00683644 | − | 0.0650444i | ||||
\(227\) | −14.4101 | − | 0.755200i | −0.956430 | − | 0.0501244i | −0.432270 | − | 0.901744i | \(-0.642287\pi\) |
−0.524160 | + | 0.851620i | \(0.675621\pi\) | |||||||
\(228\) | −0.423092 | − | 0.424167i | −0.0280199 | − | 0.0280911i | ||||
\(229\) | −0.703625 | − | 3.31029i | −0.0464968 | − | 0.218750i | 0.948765 | − | 0.315983i | \(-0.102334\pi\) |
−0.995262 | + | 0.0972326i | \(0.969001\pi\) | |||||||
\(230\) | −8.75670 | − | 1.09545i | −0.577400 | − | 0.0722315i | ||||
\(231\) | 1.42485 | + | 1.58651i | 0.0937486 | + | 0.104384i | ||||
\(232\) | −3.11035 | + | 6.10440i | −0.204204 | + | 0.400773i | ||||
\(233\) | −4.93377 | + | 9.68306i | −0.323222 | + | 0.634358i | −0.994251 | − | 0.107072i | \(-0.965852\pi\) |
0.671030 | + | 0.741431i | \(0.265852\pi\) | |||||||
\(234\) | −1.41462 | − | 4.39164i | −0.0924765 | − | 0.287091i | ||||
\(235\) | 7.61808 | − | 5.92400i | 0.496949 | − | 0.386439i | ||||
\(236\) | 0.696526 | + | 3.27690i | 0.0453400 | + | 0.213308i | ||||
\(237\) | 18.6121 | − | 18.5649i | 1.20899 | − | 1.20592i | ||||
\(238\) | −0.917451 | − | 0.0480816i | −0.0594695 | − | 0.00311667i | ||||
\(239\) | 0.736252 | + | 7.00497i | 0.0476242 | + | 0.453114i | 0.992185 | + | 0.124777i | \(0.0398215\pi\) |
−0.944561 | + | 0.328337i | \(0.893512\pi\) | |||||||
\(240\) | −3.41317 | − | 1.83037i | −0.220319 | − | 0.118150i | ||||
\(241\) | 1.10296 | − | 10.4940i | 0.0710479 | − | 0.675976i | −0.899804 | − | 0.436295i | \(-0.856290\pi\) |
0.970852 | − | 0.239681i | \(-0.0770429\pi\) | |||||||
\(242\) | −6.51082 | − | 1.74457i | −0.418531 | − | 0.112145i | ||||
\(243\) | 4.13004 | − | 15.0314i | 0.264942 | − | 0.964264i | ||||
\(244\) | 4.73433 | − | 6.51624i | 0.303084 | − | 0.417160i | ||||
\(245\) | −11.8447 | − | 8.96804i | −0.756733 | − | 0.572947i | ||||
\(246\) | −6.43319 | − | 5.80727i | −0.410165 | − | 0.370258i | ||||
\(247\) | −0.376156 | − | 0.376156i | −0.0239343 | − | 0.0239343i | ||||
\(248\) | −3.85760 | + | 4.01484i | −0.244958 | + | 0.254942i | ||||
\(249\) | −6.05682 | + | 13.5575i | −0.383835 | + | 0.859172i | ||||
\(250\) | −7.42414 | − | 8.35955i | −0.469544 | − | 0.528704i | ||||
\(251\) | 20.0205 | + | 18.0265i | 1.26368 | + | 1.13782i | 0.984083 | + | 0.177708i | \(0.0568681\pi\) |
0.279599 | + | 0.960117i | \(0.409799\pi\) | |||||||
\(252\) | −1.12975 | + | 1.38791i | −0.0711677 | + | 0.0874301i | ||||
\(253\) | 2.10816 | + | 7.86776i | 0.132539 | + | 0.494642i | ||||
\(254\) | −0.431484 | − | 0.747352i | −0.0270737 | − | 0.0468930i | ||||
\(255\) | 2.53997 | − | 5.39692i | 0.159059 | − | 0.337968i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 13.6660 | + | 11.0665i | 0.852461 | + | 0.690309i | 0.952455 | − | 0.304679i | \(-0.0985492\pi\) |
−0.0999944 | + | 0.994988i | \(0.531882\pi\) | |||||||
\(258\) | 7.84325 | + | 4.00888i | 0.488299 | + | 0.249582i | ||||
\(259\) | 0.524705 | + | 1.17851i | 0.0326036 | + | 0.0732288i | ||||
\(260\) | −3.03274 | − | 1.62141i | −0.188083 | − | 0.100556i | ||||
\(261\) | −17.8258 | + | 10.2315i | −1.10339 | + | 0.633313i | ||||
\(262\) | 0.401157 | + | 1.04505i | 0.0247836 | + | 0.0645634i | ||||
\(263\) | 12.2719 | − | 24.0850i | 0.756720 | − | 1.48515i | −0.114059 | − | 0.993474i | \(-0.536385\pi\) |
0.870780 | − | 0.491673i | \(-0.163615\pi\) | |||||||
\(264\) | −0.378169 | + | 3.55465i | −0.0232747 | + | 0.218773i | ||||
\(265\) | 1.62586 | + | 3.35287i | 0.0998758 | + | 0.205965i | ||||
\(266\) | −0.0428995 | + | 0.201826i | −0.00263033 | + | 0.0123747i | ||||
\(267\) | −6.94117 | − | 10.7182i | −0.424793 | − | 0.655944i | ||||
\(268\) | 2.39850 | − | 6.24832i | 0.146512 | − | 0.381677i | ||||
\(269\) | 6.91199 | + | 7.67655i | 0.421432 | + | 0.468047i | 0.916051 | − | 0.401063i | \(-0.131359\pi\) |
−0.494619 | + | 0.869110i | \(0.664692\pi\) | |||||||
\(270\) | −5.57104 | − | 10.1963i | −0.339043 | − | 0.620524i | ||||
\(271\) | 1.43275 | − | 1.04096i | 0.0870336 | − | 0.0632336i | −0.543418 | − | 0.839463i | \(-0.682870\pi\) |
0.630451 | + | 0.776229i | \(0.282870\pi\) | |||||||
\(272\) | −0.969210 | − | 1.19688i | −0.0587670 | − | 0.0725712i | ||||
\(273\) | −1.00158 | + | 1.23365i | −0.0606186 | + | 0.0746638i | ||||
\(274\) | 6.71438 | + | 3.87655i | 0.405631 | + | 0.234191i | ||||
\(275\) | −4.56589 | + | 9.25420i | −0.275334 | + | 0.558049i | ||||
\(276\) | −6.24832 | + | 2.77244i | −0.376105 | + | 0.166881i | ||||
\(277\) | −20.3693 | + | 10.3787i | −1.22387 | + | 0.623594i | −0.941921 | − | 0.335834i | \(-0.890982\pi\) |
−0.281952 | + | 0.959429i | \(0.590982\pi\) | |||||||
\(278\) | 3.27068 | + | 3.27068i | 0.196163 | + | 0.196163i | ||||
\(279\) | −16.2753 | + | 3.75708i | −0.974375 | + | 0.224930i | ||||
\(280\) | 0.113228 | + | 1.32907i | 0.00676665 | + | 0.0794270i | ||||
\(281\) | 23.8394 | + | 7.74589i | 1.42214 | + | 0.462081i | 0.916281 | − | 0.400535i | \(-0.131176\pi\) |
0.505858 | + | 0.862617i | \(0.331176\pi\) | |||||||
\(282\) | 2.68769 | − | 6.97522i | 0.160050 | − | 0.415368i | ||||
\(283\) | 18.3767 | − | 2.91059i | 1.09238 | − | 0.173017i | 0.415853 | − | 0.909432i | \(-0.363483\pi\) |
0.676530 | + | 0.736415i | \(0.263483\pi\) | |||||||
\(284\) | 5.64623 | − | 9.77956i | 0.335042 | − | 0.580310i | ||||
\(285\) | −1.10794 | − | 0.753049i | −0.0656289 | − | 0.0446068i | ||||
\(286\) | −0.331785 | + | 3.15673i | −0.0196189 | + | 0.186661i | ||||
\(287\) | −0.466932 | + | 2.94809i | −0.0275621 | + | 0.174021i | ||||
\(288\) | −2.99628 | + | 0.149404i | −0.176557 | + | 0.00880373i | ||||
\(289\) | −10.8708 | + | 9.78812i | −0.639460 | + | 0.575772i | ||||
\(290\) | −4.25619 | + | 14.7165i | −0.249932 | + | 0.864181i | ||||
\(291\) | 3.68159 | − | 17.2131i | 0.215818 | − | 1.00905i | ||||
\(292\) | −0.181507 | − | 0.279497i | −0.0106219 | − | 0.0163563i | ||||
\(293\) | −3.86978 | − | 10.0811i | −0.226075 | − | 0.588945i | 0.772885 | − | 0.634546i | \(-0.218813\pi\) |
−0.998960 | + | 0.0456010i | \(0.985480\pi\) | |||||||
\(294\) | −11.4434 | − | 1.21744i | −0.667394 | − | 0.0710023i | ||||
\(295\) | 2.91127 | + | 6.90221i | 0.169501 | + | 0.401862i | ||||
\(296\) | −0.879595 | + | 1.97560i | −0.0511254 | + | 0.114830i | ||||
\(297\) | −6.78058 | + | 8.30845i | −0.393449 | + | 0.482105i | ||||
\(298\) | −1.06245 | + | 1.63603i | −0.0615461 | + | 0.0947726i | ||||
\(299\) | −5.54499 | + | 2.46879i | −0.320675 | + | 0.142774i | ||||
\(300\) | −8.26695 | − | 2.58022i | −0.477293 | − | 0.148969i | ||||
\(301\) | −0.317104 | − | 3.01705i | −0.0182776 | − | 0.173900i | ||||
\(302\) | 0.928927 | − | 5.86501i | 0.0534537 | − | 0.337494i | ||||
\(303\) | 5.94053 | + | 22.2834i | 0.341275 | + | 1.28015i | ||||
\(304\) | −0.299551 | + | 0.172946i | −0.0171804 | + | 0.00991913i | ||||
\(305\) | 7.64871 | − | 16.3056i | 0.437964 | − | 0.933658i | ||||
\(306\) | −0.471287 | − | 4.59617i | −0.0269417 | − | 0.262746i | ||||
\(307\) | 30.1981 | − | 1.58262i | 1.72350 | − | 0.0903248i | 0.835303 | − | 0.549790i | \(-0.185292\pi\) |
0.888196 | + | 0.459465i | \(0.151959\pi\) | |||||||
\(308\) | 1.09697 | − | 0.558932i | 0.0625054 | − | 0.0318481i | ||||
\(309\) | 12.3129 | + | 5.50080i | 0.700458 | + | 0.312929i | ||||
\(310\) | −6.77821 | + | 10.4430i | −0.384977 | + | 0.593121i | ||||
\(311\) | 21.0947i | 1.19617i | 0.801433 | + | 0.598084i | \(0.204071\pi\) | ||||
−0.801433 | + | 0.598084i | \(0.795929\pi\) | |||||||
\(312\) | −2.66034 | + | 0.136037i | −0.150612 | + | 0.00770160i | ||||
\(313\) | 0.190164 | + | 3.62855i | 0.0107487 | + | 0.205098i | 0.998725 | + | 0.0504897i | \(0.0160782\pi\) |
−0.987976 | + | 0.154608i | \(0.950588\pi\) | |||||||
\(314\) | 18.0873 | + | 13.1412i | 1.02073 | + | 0.741602i | ||||
\(315\) | −1.89565 | + | 3.52415i | −0.106808 | + | 0.198564i | ||||
\(316\) | −7.58873 | − | 13.1441i | −0.426900 | − | 0.739412i | ||||
\(317\) | 7.76089 | + | 9.58390i | 0.435895 | + | 0.538285i | 0.947000 | − | 0.321233i | \(-0.104097\pi\) |
−0.511105 | + | 0.859518i | \(0.670764\pi\) | |||||||
\(318\) | 2.41871 | + | 1.57510i | 0.135635 | + | 0.0883271i | ||||
\(319\) | 14.0623 | − | 1.47801i | 0.787337 | − | 0.0827524i | ||||
\(320\) | −1.52872 | + | 1.63188i | −0.0854579 | + | 0.0912248i | ||||
\(321\) | 1.39544 | + | 0.00177072i | 0.0778861 | + | 9.88318e-5i | ||||
\(322\) | 1.97447 | + | 1.28224i | 0.110033 | + | 0.0714563i | ||||
\(323\) | −0.290132 | − | 0.446764i | −0.0161434 | − | 0.0248586i | ||||
\(324\) | −7.77129 | − | 4.53950i | −0.431738 | − | 0.252195i | ||||
\(325\) | −7.34343 | − | 2.28175i | −0.407340 | − | 0.126569i | ||||
\(326\) | 1.81553 | − | 0.589903i | 0.100553 | − | 0.0326717i | ||||
\(327\) | 29.2216 | + | 1.56862i | 1.61596 | + | 0.0867451i | ||||
\(328\) | −4.19644 | + | 2.72520i | −0.231709 | + | 0.150474i | ||||
\(329\) | −2.51822 | + | 0.535265i | −0.138834 | + | 0.0295101i | ||||
\(330\) | 0.668410 | + | 7.96529i | 0.0367948 | + | 0.438475i | ||||
\(331\) | −4.48942 | − | 4.98601i | −0.246761 | − | 0.274056i | 0.607022 | − | 0.794685i | \(-0.292364\pi\) |
−0.853783 | + | 0.520629i | \(0.825697\pi\) | |||||||
\(332\) | 6.66250 | + | 5.39519i | 0.365652 | + | 0.296099i | ||||
\(333\) | −5.44999 | + | 3.51963i | −0.298658 | + | 0.192875i | ||||
\(334\) | −0.144037 | − | 0.0151389i | −0.00788137 | − | 0.000828365i | ||||
\(335\) | 2.63233 | − | 14.7324i | 0.143820 | − | 0.804915i | ||||
\(336\) | 0.606250 | + | 0.836663i | 0.0330737 | + | 0.0456437i | ||||
\(337\) | 2.49297 | + | 15.7400i | 0.135801 | + | 0.857411i | 0.957698 | + | 0.287775i | \(0.0929156\pi\) |
−0.821897 | + | 0.569635i | \(0.807084\pi\) | |||||||
\(338\) | 10.6201 | − | 0.556577i | 0.577659 | − | 0.0302738i | ||||
\(339\) | −1.26412 | − | 1.14112i | −0.0686574 | − | 0.0619773i | ||||
\(340\) | −2.63301 | − | 2.21960i | −0.142795 | − | 0.120375i | ||||
\(341\) | 11.2854 | + | 2.16421i | 0.611140 | + | 0.117198i | ||||
\(342\) | −1.03611 | − | 0.0569375i | −0.0560266 | − | 0.00307882i | ||||
\(343\) | 3.69510 | + | 7.25203i | 0.199516 | + | 0.391573i | ||||
\(344\) | 3.40288 | − | 3.77928i | 0.183471 | − | 0.203765i | ||||
\(345\) | −12.5520 | + | 8.72280i | −0.675776 | + | 0.469620i | ||||
\(346\) | −10.9906 | + | 19.0363i | −0.590859 | + | 1.02340i | ||||
\(347\) | 1.00895 | + | 0.270348i | 0.0541635 | + | 0.0145131i | 0.285799 | − | 0.958290i | \(-0.407741\pi\) |
−0.231636 | + | 0.972803i | \(0.574408\pi\) | |||||||
\(348\) | 3.05673 | + | 11.4660i | 0.163858 | + | 0.614644i | ||||
\(349\) | −11.3401 | − | 15.6083i | −0.607022 | − | 0.835495i | 0.389306 | − | 0.921108i | \(-0.372715\pi\) |
−0.996328 | + | 0.0856139i | \(0.972715\pi\) | |||||||
\(350\) | 0.809057 | + | 2.87082i | 0.0432459 | + | 0.153452i | ||||
\(351\) | −6.90552 | − | 4.02203i | −0.368590 | − | 0.214680i | ||||
\(352\) | 1.92678 | + | 0.739620i | 0.102698 | + | 0.0394219i | ||||
\(353\) | −23.4199 | − | 15.2090i | −1.24651 | − | 0.809496i | −0.258825 | − | 0.965924i | \(-0.583335\pi\) |
−0.987689 | + | 0.156428i | \(0.950002\pi\) | |||||||
\(354\) | 4.69003 | + | 3.41661i | 0.249272 | + | 0.181591i | ||||
\(355\) | 8.27520 | − | 23.8562i | 0.439202 | − | 1.26616i | ||||
\(356\) | −7.01164 | + | 2.27822i | −0.371616 | + | 0.120745i | ||||
\(357\) | −1.23791 | + | 0.999838i | −0.0655169 | + | 0.0529170i | ||||
\(358\) | −3.83305 | + | 1.47137i | −0.202583 | + | 0.0777643i | ||||
\(359\) | −13.2769 | − | 2.82210i | −0.700730 | − | 0.148945i | −0.156249 | − | 0.987718i | \(-0.549940\pi\) |
−0.544481 | + | 0.838773i | \(0.683274\pi\) | |||||||
\(360\) | −6.51668 | + | 1.59149i | −0.343459 | + | 0.0838791i | ||||
\(361\) | 17.2481 | − | 7.67933i | 0.907793 | − | 0.404175i | ||||
\(362\) | −11.0584 | − | 0.579545i | −0.581215 | − | 0.0304602i | ||||
\(363\) | −10.4091 | + | 5.28708i | −0.546337 | + | 0.277500i | ||||
\(364\) | 0.539255 | + | 0.742220i | 0.0282646 | + | 0.0389029i | ||||
\(365\) | −0.516434 | − | 0.537227i | −0.0270314 | − | 0.0281197i | ||||
\(366\) | −1.44065 | − | 13.8762i | −0.0753041 | − | 0.725323i | ||||
\(367\) | −7.96123 | + | 2.13320i | −0.415573 | + | 0.111352i | −0.460546 | − | 0.887636i | \(-0.652346\pi\) |
0.0449733 | + | 0.998988i | \(0.485680\pi\) | |||||||
\(368\) | 0.617391 | + | 3.89805i | 0.0321837 | + | 0.203200i | ||||
\(369\) | −15.0110 | − | 0.0380958i | −0.781440 | − | 0.00198319i | ||||
\(370\) | −1.09852 | + | 4.70922i | −0.0571091 | + | 0.244821i | ||||
\(371\) | − | 0.994084i | − | 0.0516103i | ||||||
\(372\) | −0.324534 | + | 9.63819i | −0.0168263 | + | 0.499717i | ||||
\(373\) | −14.1090 | + | 14.1090i | −0.730538 | + | 0.730538i | −0.970726 | − | 0.240188i | \(-0.922791\pi\) |
0.240188 | + | 0.970726i | \(0.422791\pi\) | |||||||
\(374\) | −0.982219 | + | 3.02296i | −0.0507893 | + | 0.156313i | ||||
\(375\) | −19.2418 | − | 2.18019i | −0.993642 | − | 0.112584i | ||||
\(376\) | −3.49152 | − | 2.53674i | −0.180062 | − | 0.130822i | ||||
\(377\) | 2.72710 | + | 10.1777i | 0.140453 | + | 0.524177i | ||||
\(378\) | 0.150439 | + | 3.09601i | 0.00773775 | + | 0.159241i | ||||
\(379\) | 22.6519 | + | 2.38081i | 1.16355 | + | 0.122294i | 0.666552 | − | 0.745459i | \(-0.267769\pi\) |
0.496997 | + | 0.867752i | \(0.334436\pi\) | |||||||
\(380\) | −0.584876 | + | 0.506090i | −0.0300035 | + | 0.0259619i | ||||
\(381\) | −1.42096 | − | 0.463692i | −0.0727980 | − | 0.0237557i | ||||
\(382\) | 0.737090 | − | 14.0645i | 0.0377128 | − | 0.719603i | ||||
\(383\) | −13.7608 | − | 5.28229i | −0.703146 | − | 0.269912i | −0.0195873 | − | 0.999808i | \(-0.506235\pi\) |
−0.683558 | + | 0.729896i | \(0.739569\pi\) | |||||||
\(384\) | −0.362263 | + | 1.69374i | −0.0184867 | + | 0.0864335i | ||||
\(385\) | 2.17320 | − | 1.68993i | 0.110757 | − | 0.0861270i | ||||
\(386\) | −0.0115264 | + | 0.0258886i | −0.000586676 | + | 0.00131770i | ||||
\(387\) | 14.7467 | − | 3.91128i | 0.749616 | − | 0.198821i | ||||
\(388\) | −9.05507 | − | 4.61379i | −0.459702 | − | 0.234230i | ||||
\(389\) | 28.0126 | + | 12.4720i | 1.42029 | + | 0.632355i | 0.966011 | − | 0.258502i | \(-0.0832289\pi\) |
0.454283 | + | 0.890858i | \(0.349896\pi\) | |||||||
\(390\) | −5.78461 | + | 1.42049i | −0.292915 | + | 0.0719292i | ||||
\(391\) | −5.94536 | + | 1.26373i | −0.300670 | + | 0.0639093i | ||||
\(392\) | −2.38105 | + | 6.20285i | −0.120261 | + | 0.313291i | ||||
\(393\) | 1.72642 | + | 0.882414i | 0.0870862 | + | 0.0445119i | ||||
\(394\) | −6.73182 | + | 0.707542i | −0.339144 | + | 0.0356455i | ||||
\(395\) | −22.2068 | − | 25.6639i | −1.11735 | − | 1.29129i | ||||
\(396\) | 3.62659 | + | 5.01831i | 0.182243 | + | 0.252179i | ||||
\(397\) | −1.39074 | + | 5.19032i | −0.0697993 | + | 0.260495i | −0.992004 | − | 0.126208i | \(-0.959719\pi\) |
0.922204 | + | 0.386703i | \(0.126386\pi\) | |||||||
\(398\) | −17.4054 | + | 4.66376i | −0.872454 | + | 0.233773i | ||||
\(399\) | 0.178298 | + | 0.309729i | 0.00892609 | + | 0.0155058i | ||||
\(400\) | −2.66889 | + | 4.22812i | −0.133444 | + | 0.211406i | ||||
\(401\) | 7.99284 | + | 2.59703i | 0.399143 | + | 0.129690i | 0.501709 | − | 0.865037i | \(-0.332705\pi\) |
−0.102565 | + | 0.994726i | \(0.532705\pi\) | |||||||
\(402\) | −4.14060 | − | 10.8277i | −0.206514 | − | 0.540035i | ||||
\(403\) | −0.277306 | + | 8.55846i | −0.0138136 | + | 0.426327i | ||||
\(404\) | 13.3147 | 0.662430 | ||||||||
\(405\) | −18.9795 | − | 6.69169i | −0.943099 | − | 0.332513i | ||||
\(406\) | 2.73467 | − | 3.03716i | 0.135719 | − | 0.150732i | ||||
\(407\) | 4.40828 | − | 0.698203i | 0.218510 | − | 0.0346086i | ||||
\(408\) | −2.63414 | − | 0.420634i | −0.130409 | − | 0.0208245i | ||||
\(409\) | 3.60364 | − | 2.08056i | 0.178188 | − | 0.102877i | −0.408253 | − | 0.912869i | \(-0.633862\pi\) |
0.586441 | + | 0.809992i | \(0.300528\pi\) | |||||||
\(410\) | −8.06606 | + | 7.75387i | −0.398354 | + | 0.382936i | ||||
\(411\) | 13.1389 | − | 2.77533i | 0.648092 | − | 0.136897i | ||||
\(412\) | 4.89991 | − | 6.05088i | 0.241401 | − | 0.298106i | ||||
\(413\) | 0.104590 | − | 1.99570i | 0.00514655 | − | 0.0982020i | ||||
\(414\) | −4.84317 | + | 10.8041i | −0.238029 | + | 0.530990i | ||||
\(415\) | 16.9055 | + | 9.03826i | 0.829857 | + | 0.443671i | ||||
\(416\) | −0.319758 | + | 1.50434i | −0.0156774 | + | 0.0737565i | ||||
\(417\) | 7.99999 | + | 0.429442i | 0.391761 | + | 0.0210298i | ||||
\(418\) | 0.636064 | + | 0.324091i | 0.0311109 | + | 0.0158518i | ||||
\(419\) | −0.209539 | − | 0.644894i | −0.0102366 | − | 0.0315051i | 0.945808 | − | 0.324727i | \(-0.105272\pi\) |
−0.956044 | + | 0.293222i | \(0.905272\pi\) | |||||||
\(420\) | 1.68408 | + | 1.58164i | 0.0821749 | + | 0.0771761i | ||||
\(421\) | −1.32552 | − | 0.281747i | −0.0646017 | − | 0.0137315i | 0.175497 | − | 0.984480i | \(-0.443847\pi\) |
−0.240099 | + | 0.970748i | \(0.577180\pi\) | |||||||
\(422\) | −11.7943 | + | 18.1616i | −0.574137 | + | 0.884093i | ||||
\(423\) | −4.60920 | − | 12.0991i | −0.224107 | − | 0.588277i | ||||
\(424\) | 1.23841 | − | 1.11507i | 0.0601425 | − | 0.0541525i | ||||
\(425\) | −6.71789 | − | 3.76390i | −0.325865 | − | 0.182576i | ||||
\(426\) | −4.04229 | − | 19.1369i | −0.195850 | − | 0.927184i | ||||
\(427\) | −3.73400 | + | 3.02373i | −0.180701 | + | 0.146329i | ||||
\(428\) | 0.208520 | − | 0.778208i | 0.0100792 | − | 0.0376161i | ||||
\(429\) | 3.22584 | + | 4.45185i | 0.155745 | + | 0.214937i | ||||
\(430\) | 5.87898 | − | 9.73397i | 0.283510 | − | 0.469414i | ||||
\(431\) | −7.87392 | − | 7.08971i | −0.379274 | − | 0.341499i | 0.457341 | − | 0.889291i | \(-0.348802\pi\) |
−0.836615 | + | 0.547792i | \(0.815469\pi\) | |||||||
\(432\) | −3.68819 | + | 3.66022i | −0.177448 | + | 0.176102i | ||||
\(433\) | 28.4327 | − | 28.4327i | 1.36639 | − | 1.36639i | 0.500857 | − | 0.865530i | \(-0.333018\pi\) |
0.865530 | − | 0.500857i | \(-0.166982\pi\) | |||||||
\(434\) | 2.84263 | − | 1.71777i | 0.136451 | − | 0.0824558i | ||||
\(435\) | 11.5472 | + | 23.8900i | 0.553646 | + | 1.14544i | ||||
\(436\) | 5.22096 | − | 16.0685i | 0.250039 | − | 0.769540i | ||||
\(437\) | 0.0714444 | + | 1.36324i | 0.00341765 | + | 0.0652127i | ||||
\(438\) | −0.557368 | − | 0.150105i | −0.0266321 | − | 0.00717227i | ||||
\(439\) | 29.7222 | + | 17.1601i | 1.41856 | + | 0.819008i | 0.996173 | − | 0.0874057i | \(-0.0278577\pi\) |
0.422391 | + | 0.906414i | \(0.361191\pi\) | |||||||
\(440\) | 4.54298 | + | 0.811726i | 0.216578 | + | 0.0386975i | ||||
\(441\) | −16.1554 | + | 11.6750i | −0.769304 | + | 0.555954i | ||||
\(442\) | −2.33942 | − | 0.370528i | −0.111275 | − | 0.0176242i | ||||
\(443\) | −14.1229 | + | 17.4404i | −0.671001 | + | 0.828617i | −0.992999 | − | 0.118123i | \(-0.962312\pi\) |
0.321998 | + | 0.946740i | \(0.395645\pi\) | |||||||
\(444\) | 1.15296 | + | 3.56381i | 0.0547169 | + | 0.169131i | ||||
\(445\) | −14.4366 | + | 7.95939i | −0.684360 | + | 0.377311i | ||||
\(446\) | −3.40468 | − | 16.0178i | −0.161216 | − | 0.758463i | ||||
\(447\) | 0.524323 | + | 3.33785i | 0.0247996 | + | 0.157875i | ||||
\(448\) | 0.556909 | − | 0.213777i | 0.0263115 | − | 0.0101000i | ||||
\(449\) | 6.61531 | + | 20.3598i | 0.312196 | + | 0.960839i | 0.976893 | + | 0.213727i | \(0.0685603\pi\) |
−0.664698 | + | 0.747112i | \(0.731440\pi\) | |||||||
\(450\) | −13.6392 | + | 6.24267i | −0.642960 | + | 0.294282i | ||||
\(451\) | 9.43407 | + | 4.20032i | 0.444233 | + | 0.197785i | ||||
\(452\) | −0.824596 | + | 0.535499i | −0.0387857 | + | 0.0251878i | ||||
\(453\) | −5.59073 | − | 8.63293i | −0.262675 | − | 0.405611i | ||||
\(454\) | 5.86915 | + | 13.1823i | 0.275453 | + | 0.618677i | ||||
\(455\) | 1.49714 | + | 1.40250i | 0.0701871 | + | 0.0657501i | ||||
\(456\) | −0.185856 | + | 0.569545i | −0.00870349 | + | 0.0266714i | ||||
\(457\) | 16.9253 | + | 2.68070i | 0.791730 | + | 0.125398i | 0.539185 | − | 0.842187i | \(-0.318732\pi\) |
0.252545 | + | 0.967585i | \(0.418732\pi\) | |||||||
\(458\) | −2.63005 | + | 2.12978i | −0.122894 | + | 0.0995179i | ||||
\(459\) | −5.92662 | − | 5.37735i | −0.276631 | − | 0.250993i | ||||
\(460\) | 2.99941 | + | 8.29960i | 0.139848 | + | 0.386971i | ||||
\(461\) | −12.7024 | + | 17.4833i | −0.591607 | + | 0.814278i | −0.994908 | − | 0.100790i | \(-0.967863\pi\) |
0.403300 | + | 0.915068i | \(0.367863\pi\) | |||||||
\(462\) | 0.766716 | − | 1.98981i | 0.0356709 | − | 0.0925745i | ||||
\(463\) | 6.94105 | + | 13.6226i | 0.322578 | + | 0.633095i | 0.994170 | − | 0.107827i | \(-0.0343891\pi\) |
−0.671592 | + | 0.740921i | \(0.734389\pi\) | |||||||
\(464\) | 6.85112 | 0.318055 | ||||||||
\(465\) | 3.35138 | + | 21.3018i | 0.155416 | + | 0.987849i | ||||
\(466\) | 10.8676 | 0.503430 | ||||||||
\(467\) | −13.3151 | − | 26.1324i | −0.616150 | − | 1.20926i | −0.962532 | − | 0.271169i | \(-0.912590\pi\) |
0.346382 | − | 0.938094i | \(-0.387410\pi\) | |||||||
\(468\) | −3.27076 | + | 3.25420i | −0.151191 | + | 0.150425i | ||||
\(469\) | −2.34673 | + | 3.22999i | −0.108362 | + | 0.149147i | ||||
\(470\) | −8.73686 | − | 4.09832i | −0.403001 | − | 0.189042i | ||||
\(471\) | 38.5168 | − | 3.99887i | 1.77476 | − | 0.184258i | ||||
\(472\) | 2.60352 | − | 2.10829i | 0.119837 | − | 0.0970419i | ||||
\(473\) | −10.3666 | − | 1.64190i | −0.476655 | − | 0.0754948i | ||||
\(474\) | −24.9912 | − | 8.15520i | −1.14788 | − | 0.374581i | ||||
\(475\) | −1.07096 | + | 1.35797i | −0.0491391 | + | 0.0623078i | ||||
\(476\) | 0.373673 | + | 0.839284i | 0.0171273 | + | 0.0384685i | ||||
\(477\) | 4.93975 | − | 0.769534i | 0.226176 | − | 0.0352345i | ||||
\(478\) | 5.90722 | − | 3.83619i | 0.270190 | − | 0.175463i | ||||
\(479\) | −24.7758 | − | 11.0309i | −1.13203 | − | 0.504014i | −0.246757 | − | 0.969077i | \(-0.579365\pi\) |
−0.885277 | + | 0.465063i | \(0.846032\pi\) | |||||||
\(480\) | −0.0813287 | + | 3.87213i | −0.00371213 | + | 0.176738i | ||||
\(481\) | 1.02777 | + | 3.16314i | 0.0468621 | + | 0.144227i | ||||
\(482\) | −9.85093 | + | 3.78142i | −0.448697 | + | 0.172239i | ||||
\(483\) | 4.02835 | − | 0.632789i | 0.183296 | − | 0.0287929i | ||||
\(484\) | 1.40143 | + | 6.59320i | 0.0637013 | + | 0.299691i | ||||
\(485\) | −21.8299 | − | 6.31350i | −0.991247 | − | 0.286681i | ||||
\(486\) | −15.2681 | + | 3.14422i | −0.692574 | + | 0.142625i | ||||
\(487\) | −11.8293 | + | 14.6080i | −0.536036 | + | 0.661950i | −0.971162 | − | 0.238420i | \(-0.923371\pi\) |
0.435126 | + | 0.900370i | \(0.356704\pi\) | |||||||
\(488\) | −7.95535 | − | 1.26000i | −0.360122 | − | 0.0570377i | ||||
\(489\) | 1.65684 | − | 2.86135i | 0.0749251 | − | 0.129395i | ||||
\(490\) | −2.61318 | + | 14.6252i | −0.118051 | + | 0.660697i | ||||
\(491\) | −9.38202 | − | 5.41671i | −0.423405 | − | 0.244453i | 0.273128 | − | 0.961978i | \(-0.411942\pi\) |
−0.696533 | + | 0.717525i | \(0.745275\pi\) | |||||||
\(492\) | −2.25371 | + | 8.36846i | −0.101605 | + | 0.377279i | ||||
\(493\) | 0.552215 | + | 10.5369i | 0.0248705 | + | 0.474558i | ||||
\(494\) | −0.164386 | + | 0.505929i | −0.00739609 | + | 0.0227628i | ||||
\(495\) | 10.0798 | + | 9.49077i | 0.453055 | + | 0.426578i | ||||
\(496\) | 5.32856 | + | 1.61445i | 0.239259 | + | 0.0724910i | ||||
\(497\) | −4.76328 | + | 4.76328i | −0.213662 | + | 0.213662i | ||||
\(498\) | 14.8296 | − | 0.758317i | 0.664529 | − | 0.0339810i | ||||
\(499\) | −3.75964 | − | 3.38519i | −0.168304 | − | 0.151542i | 0.580674 | − | 0.814136i | \(-0.302789\pi\) |
−0.748979 | + | 0.662594i | \(0.769456\pi\) | |||||||
\(500\) | −4.07792 | + | 10.4101i | −0.182370 | + | 0.465555i | ||||
\(501\) | −0.203132 | + | 0.147191i | −0.00907527 | + | 0.00657599i | ||||
\(502\) | 6.97264 | − | 26.0223i | 0.311204 | − | 1.16143i | ||||
\(503\) | −26.5030 | + | 21.4617i | −1.18171 | + | 0.956931i | −0.999653 | − | 0.0263568i | \(-0.991609\pi\) |
−0.182059 | + | 0.983288i | \(0.558276\pi\) | |||||||
\(504\) | 1.74953 | + | 0.376518i | 0.0779304 | + | 0.0167714i | ||||
\(505\) | 29.2384 | − | 5.61426i | 1.30109 | − | 0.249832i | ||||
\(506\) | 6.05314 | − | 5.45027i | 0.269095 | − | 0.242294i | ||||
\(507\) | 13.0413 | − | 13.0083i | 0.579185 | − | 0.577717i | ||||
\(508\) | −0.470006 | + | 0.723745i | −0.0208531 | + | 0.0321110i | ||||
\(509\) | 32.2661 | + | 6.85837i | 1.43017 | + | 0.303992i | 0.856946 | − | 0.515407i | \(-0.172359\pi\) |
0.573224 | + | 0.819399i | \(0.305692\pi\) | |||||||
\(510\) | −5.96181 | + | 0.187020i | −0.263993 | + | 0.00828138i | ||||
\(511\) | 0.0614328 | + | 0.189071i | 0.00271763 | + | 0.00836399i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | −1.40107 | + | 1.12576i | −0.0618586 | + | 0.0497034i | ||||
\(514\) | 3.65609 | − | 17.2006i | 0.161263 | − | 0.758684i | ||||
\(515\) | 8.20854 | − | 15.3535i | 0.361712 | − | 0.676558i | ||||
\(516\) | 0.0111772 | − | 8.80837i | 0.000492048 | − | 0.387767i | ||||
\(517\) | −0.466162 | + | 8.89490i | −0.0205018 | + | 0.391197i | ||||
\(518\) | 0.811846 | − | 1.00255i | 0.0356705 | − | 0.0440494i | ||||
\(519\) | 7.86847 | + | 37.2506i | 0.345388 | + | 1.63512i | ||||
\(520\) | −0.0678519 | + | 3.43830i | −0.00297550 | + | 0.150779i | ||||
\(521\) | −19.1712 | + | 11.0685i | −0.839907 | + | 0.484920i | −0.857233 | − | 0.514929i | \(-0.827818\pi\) |
0.0173257 | + | 0.999850i | \(0.494485\pi\) | |||||||
\(522\) | 17.2090 | + | 11.2379i | 0.753219 | + | 0.491869i | ||||
\(523\) | 3.80611 | − | 0.602829i | 0.166430 | − | 0.0263599i | −0.0726634 | − | 0.997357i | \(-0.523150\pi\) |
0.239093 | + | 0.970997i | \(0.423150\pi\) | |||||||
\(524\) | 0.749024 | − | 0.831876i | 0.0327213 | − | 0.0363407i | ||||
\(525\) | 4.36508 | + | 2.76309i | 0.190508 | + | 0.120591i | ||||
\(526\) | −27.0313 | −1.17862 | ||||||||
\(527\) | −2.05350 | + | 8.32534i | −0.0894519 | + | 0.362658i | ||||
\(528\) | 3.33890 | − | 1.27682i | 0.145307 | − | 0.0555666i | ||||
\(529\) | −7.06067 | − | 2.29415i | −0.306985 | − | 0.0997456i | ||||
\(530\) | 2.24931 | − | 2.97082i | 0.0977036 | − | 0.129044i | ||||
\(531\) | 9.99790 | − | 1.02517i | 0.433872 | − | 0.0444888i | ||||
\(532\) | 0.199304 | − | 0.0534034i | 0.00864094 | − | 0.00231533i | ||||
\(533\) | −1.99172 | + | 7.43320i | −0.0862710 | + | 0.321968i | ||||
\(534\) | −6.39878 | + | 11.0506i | −0.276902 | + | 0.478206i | ||||
\(535\) | 0.129761 | − | 1.79683i | 0.00561006 | − | 0.0776838i | ||||
\(536\) | −6.65619 | + | 0.699594i | −0.287504 | + | 0.0302178i | ||||
\(537\) | −3.23653 | + | 6.33217i | −0.139667 | + | 0.273253i | ||||
\(538\) | 3.70187 | − | 9.64371i | 0.159599 | − | 0.415770i | ||||
\(539\) | 13.4129 | − | 2.85101i | 0.577736 | − | 0.122802i | ||||
\(540\) | −6.55573 | + | 9.59283i | −0.282114 | + | 0.412810i | ||||
\(541\) | 17.2160 | + | 7.66506i | 0.740174 | + | 0.329547i | 0.741953 | − | 0.670452i | \(-0.233900\pi\) |
−0.00177941 | + | 0.999998i | \(0.500566\pi\) | |||||||
\(542\) | −1.57796 | − | 0.804008i | −0.0677790 | − | 0.0345351i | ||||
\(543\) | −14.9209 | + | 12.0514i | −0.640318 | + | 0.517175i | ||||
\(544\) | −0.626411 | + | 1.40694i | −0.0268572 | + | 0.0603222i | ||||
\(545\) | 4.68955 | − | 37.4871i | 0.200878 | − | 1.60577i | ||||
\(546\) | 1.55390 | + | 0.332353i | 0.0665007 | + | 0.0142234i | ||||
\(547\) | 17.0649 | + | 6.55061i | 0.729644 | + | 0.280084i | 0.694694 | − | 0.719305i | \(-0.255540\pi\) |
0.0349495 | + | 0.999389i | \(0.488873\pi\) | |||||||
\(548\) | 0.405766 | − | 7.74248i | 0.0173335 | − | 0.330742i | ||||
\(549\) | −17.9159 | − | 16.2141i | −0.764633 | − | 0.692001i | ||||
\(550\) | 10.3184 | − | 0.133081i | 0.439979 | − | 0.00567458i | ||||
\(551\) | 2.35677 | + | 0.247706i | 0.100402 | + | 0.0105526i | ||||
\(552\) | 5.30694 | + | 4.30864i | 0.225878 | + | 0.183388i | ||||
\(553\) | 2.34330 | + | 8.74531i | 0.0996472 | + | 0.371888i | ||||
\(554\) | 18.4949 | + | 13.4374i | 0.785775 | + | 0.570899i | ||||
\(555\) | 4.03455 | + | 7.33981i | 0.171257 | + | 0.311558i | ||||
\(556\) | 1.42934 | − | 4.39906i | 0.0606176 | − | 0.186562i | ||||
\(557\) | −0.907582 | + | 0.907582i | −0.0384555 | + | 0.0384555i | −0.726073 | − | 0.687618i | \(-0.758657\pi\) |
0.687618 | + | 0.726073i | \(0.258657\pi\) | |||||||
\(558\) | 10.7364 | + | 12.7957i | 0.454508 | + | 0.541685i | ||||
\(559\) | − | 7.82129i | − | 0.330805i | ||||||
\(560\) | 1.13280 | − | 0.704271i | 0.0478697 | − | 0.0297609i | ||||
\(561\) | 2.23285 | + | 5.03224i | 0.0942711 | + | 0.212461i | ||||
\(562\) | −3.92122 | − | 24.7576i | −0.165407 | − | 1.04434i | ||||
\(563\) | −38.3317 | + | 10.2709i | −1.61549 | + | 0.432869i | −0.949672 | − | 0.313247i | \(-0.898583\pi\) |
−0.665816 | + | 0.746116i | \(0.731917\pi\) | |||||||
\(564\) | −7.43515 | + | 0.771928i | −0.313076 | + | 0.0325040i | ||||
\(565\) | −1.58497 | + | 1.52363i | −0.0666804 | + | 0.0640996i | ||||
\(566\) | −10.9362 | − | 15.0524i | −0.459683 | − | 0.632700i | ||||
\(567\) | 3.77698 | + | 3.81551i | 0.158618 | + | 0.160237i | ||||
\(568\) | −11.2770 | − | 0.591002i | −0.473172 | − | 0.0247979i | ||||
\(569\) | 6.05889 | − | 2.69759i | 0.254002 | − | 0.113089i | −0.275786 | − | 0.961219i | \(-0.588938\pi\) |
0.529788 | + | 0.848130i | \(0.322271\pi\) | |||||||
\(570\) | −0.167976 | + | 1.32906i | −0.00703573 | + | 0.0556682i | ||||
\(571\) | 16.4213 | + | 3.49045i | 0.687208 | + | 0.146071i | 0.538266 | − | 0.842775i | \(-0.319080\pi\) |
0.148943 | + | 0.988846i | \(0.452413\pi\) | |||||||
\(572\) | 2.96329 | − | 1.13750i | 0.123901 | − | 0.0475613i | ||||
\(573\) | −15.3275 | − | 18.9771i | −0.640316 | − | 0.792779i | ||||
\(574\) | 2.83875 | − | 0.922367i | 0.118487 | − | 0.0384989i | ||||
\(575\) | 10.0862 | + | 16.9608i | 0.420623 | + | 0.707314i | ||||
\(576\) | 1.49340 | + | 2.60187i | 0.0622251 | + | 0.108411i | ||||
\(577\) | −17.9730 | − | 11.6718i | −0.748227 | − | 0.485904i | 0.113335 | − | 0.993557i | \(-0.463847\pi\) |
−0.861562 | + | 0.507653i | \(0.830513\pi\) | |||||||
\(578\) | 13.6565 | + | 5.24225i | 0.568037 | + | 0.218049i | ||||
\(579\) | 0.0151085 | + | 0.0467008i | 0.000627889 | + | 0.00194082i | ||||
\(580\) | 15.0447 | − | 2.88884i | 0.624699 | − | 0.119953i | ||||
\(581\) | −3.00598 | − | 4.13737i | −0.124709 | − | 0.171647i | ||||
\(582\) | −17.0084 | + | 4.53425i | −0.705020 | + | 0.187951i | ||||
\(583\) | −3.32211 | − | 0.890157i | −0.137588 | − | 0.0368665i | ||||
\(584\) | −0.166631 | + | 0.288613i | −0.00689523 | + | 0.0119429i | ||||
\(585\) | −5.81026 | + | 8.52521i | −0.240225 | + | 0.352474i | ||||
\(586\) | −7.22550 | + | 8.02473i | −0.298483 | + | 0.331499i | ||||
\(587\) | 19.1525 | + | 37.5890i | 0.790510 | + | 1.55146i | 0.833585 | + | 0.552391i | \(0.186285\pi\) |
−0.0430751 | + | 0.999072i | \(0.513715\pi\) | |||||||
\(588\) | 4.11047 | + | 10.7489i | 0.169513 | + | 0.443276i | ||||
\(589\) | 1.77464 | + | 0.748024i | 0.0731227 | + | 0.0308218i | ||||
\(590\) | 4.82823 | − | 5.72750i | 0.198775 | − | 0.235798i | ||||
\(591\) | −7.85599 | + | 8.70272i | −0.323152 | + | 0.357982i | ||||
\(592\) | 2.15960 | − | 0.113180i | 0.0887591 | − | 0.00465167i | ||||
\(593\) | −5.38415 | − | 33.9942i | −0.221101 | − | 1.39597i | −0.809365 | − | 0.587306i | \(-0.800189\pi\) |
0.588264 | − | 0.808669i | \(-0.299811\pi\) | |||||||
\(594\) | 10.4812 | + | 2.26959i | 0.430049 | + | 0.0931222i | ||||
\(595\) | 1.17446 | + | 1.68546i | 0.0481482 | + | 0.0690972i | ||||
\(596\) | 1.94006 | + | 0.203908i | 0.0794678 | + | 0.00835240i | ||||
\(597\) | −17.0317 | + | 26.1537i | −0.697059 | + | 1.07040i | ||||
\(598\) | 4.71708 | + | 3.81981i | 0.192896 | + | 0.156204i | ||||
\(599\) | −22.7321 | − | 25.2466i | −0.928809 | − | 1.03155i | −0.999420 | − | 0.0340435i | \(-0.989162\pi\) |
0.0706109 | − | 0.997504i | \(-0.477505\pi\) | |||||||
\(600\) | 1.45413 | + | 8.53730i | 0.0593645 | + | 0.348534i | ||||
\(601\) | 23.1130 | − | 4.91281i | 0.942797 | − | 0.200398i | 0.289224 | − | 0.957261i | \(-0.406603\pi\) |
0.653573 | + | 0.756864i | \(0.273269\pi\) | |||||||
\(602\) | −2.54425 | + | 1.65225i | −0.103696 | + | 0.0673408i | ||||
\(603\) | −17.8669 | − | 9.16085i | −0.727598 | − | 0.373059i | ||||
\(604\) | −5.64749 | + | 1.83498i | −0.229793 | + | 0.0746643i | ||||
\(605\) | 5.85755 | + | 13.8874i | 0.238143 | + | 0.564604i | ||||
\(606\) | 17.1577 | − | 15.4095i | 0.696986 | − | 0.625969i | ||||
\(607\) | −18.2229 | − | 28.0609i | −0.739647 | − | 1.13896i | −0.985504 | − | 0.169650i | \(-0.945736\pi\) |
0.245858 | − | 0.969306i | \(-0.420930\pi\) | |||||||
\(608\) | 0.290089 | + | 0.188386i | 0.0117647 | + | 0.00764007i | ||||
\(609\) | 0.00898238 | − | 7.07871i | 0.000363984 | − | 0.286844i | ||||
\(610\) | −18.0009 | + | 0.587546i | −0.728834 | + | 0.0237890i | ||||
\(611\) | −6.60107 | + | 0.693801i | −0.267051 | + | 0.0280682i | ||||
\(612\) | −3.88126 | + | 2.50654i | −0.156891 | + | 0.101321i | ||||
\(613\) | −3.23461 | − | 3.99441i | −0.130645 | − | 0.161333i | 0.707626 | − | 0.706587i | \(-0.249766\pi\) |
−0.838270 | + | 0.545255i | \(0.816433\pi\) | |||||||
\(614\) | −15.1198 | − | 26.1882i | −0.610185 | − | 1.05687i | ||||
\(615\) | −1.42039 | + | 19.3270i | −0.0572756 | + | 0.779341i | ||||
\(616\) | −0.996023 | − | 0.723653i | −0.0401309 | − | 0.0291568i | ||||
\(617\) | −0.445657 | − | 8.50365i | −0.0179415 | − | 0.342344i | −0.992821 | − | 0.119611i | \(-0.961835\pi\) |
0.974879 | − | 0.222733i | \(-0.0714979\pi\) | |||||||
\(618\) | −0.688703 | − | 13.4682i | −0.0277037 | − | 0.541771i | ||||
\(619\) | − | 28.2955i | − | 1.13729i | −0.822582 | − | 0.568647i | \(-0.807467\pi\) | ||
0.822582 | − | 0.568647i | \(-0.192533\pi\) | |||||||
\(620\) | 12.3820 | + | 1.29842i | 0.497273 | + | 0.0521458i | ||||
\(621\) | 6.26283 | + | 19.5276i | 0.251319 | + | 0.783617i | ||||
\(622\) | 18.7955 | − | 9.57677i | 0.753630 | − | 0.383994i | ||||
\(623\) | 4.39187 | − | 0.230168i | 0.175957 | − | 0.00922150i | ||||
\(624\) | 1.32898 | + | 2.30862i | 0.0532017 | + | 0.0924186i | ||||
\(625\) | −4.56539 | + | 24.5796i | −0.182616 | + | 0.983184i | ||||
\(626\) | 3.14673 | − | 1.81677i | 0.125769 | − | 0.0726126i | ||||
\(627\) | 1.19474 | − | 0.318504i | 0.0477131 | − | 0.0127198i | ||||
\(628\) | 3.49744 | − | 22.0819i | 0.139563 | − | 0.881165i | ||||
\(629\) | 0.348137 | + | 3.31230i | 0.0138811 | + | 0.132070i | ||||
\(630\) | 4.00065 | + | 0.0891071i | 0.159390 | + | 0.00355011i | ||||
\(631\) | −37.2499 | + | 16.5847i | −1.48290 | + | 0.660228i | −0.979060 | − | 0.203572i | \(-0.934745\pi\) |
−0.503835 | + | 0.863800i | \(0.668078\pi\) | |||||||
\(632\) | −8.26624 | + | 12.7289i | −0.328813 | + | 0.506328i | ||||
\(633\) | 5.82053 | + | 37.0536i | 0.231345 | + | 1.47275i | ||||
\(634\) | 5.01595 | − | 11.2660i | 0.199209 | − | 0.447430i | ||||
\(635\) | −0.726935 | + | 1.78749i | −0.0288475 | + | 0.0709345i | ||||
\(636\) | 0.305350 | − | 2.87017i | 0.0121079 | − | 0.113810i | ||||
\(637\) | 3.66194 | + | 9.53969i | 0.145091 | + | 0.377976i | ||||
\(638\) | −7.70105 | − | 11.8586i | −0.304888 | − | 0.469486i | ||||
\(639\) | −27.3568 | − | 19.9821i | −1.08222 | − | 0.790481i | ||||
\(640\) | 2.14804 | + | 0.621239i | 0.0849086 | + | 0.0245566i | ||||
\(641\) | 6.80948 | − | 6.13129i | 0.268958 | − | 0.242171i | −0.523604 | − | 0.851962i | \(-0.675413\pi\) |
0.792563 | + | 0.609790i | \(0.208746\pi\) | |||||||
\(642\) | −0.631940 | − | 1.24415i | −0.0249407 | − | 0.0491028i | ||||
\(643\) | −4.84718 | + | 30.6039i | −0.191154 | + | 1.20690i | 0.686328 | + | 0.727292i | \(0.259221\pi\) |
−0.877483 | + | 0.479608i | \(0.840779\pi\) | |||||||
\(644\) | 0.246090 | − | 2.34139i | 0.00969732 | − | 0.0922638i | ||||
\(645\) | −3.68959 | − | 19.3475i | −0.145278 | − | 0.761806i | ||||
\(646\) | −0.266352 | + | 0.461336i | −0.0104795 | + | 0.0181510i | ||||
\(647\) | −22.9516 | + | 3.63518i | −0.902322 | + | 0.142914i | −0.590322 | − | 0.807168i | \(-0.700999\pi\) |
−0.312001 | + | 0.950082i | \(0.600999\pi\) | |||||||
\(648\) | −0.516636 | + | 8.98516i | −0.0202954 | + | 0.352970i | ||||
\(649\) | −6.57574 | − | 2.13659i | −0.258120 | − | 0.0838684i | ||||
\(650\) | 1.30079 | + | 7.57894i | 0.0510213 | + | 0.297271i | ||||
\(651\) | 1.67507 | − | 5.50345i | 0.0656512 | − | 0.215697i | ||||
\(652\) | −1.34984 | − | 1.34984i | −0.0528639 | − | 0.0528639i | ||||
\(653\) | 18.5541 | − | 9.45379i | 0.726078 | − | 0.369955i | −0.0515580 | − | 0.998670i | \(-0.516419\pi\) |
0.777636 | + | 0.628715i | \(0.216419\pi\) | |||||||
\(654\) | −11.8687 | − | 26.7488i | −0.464102 | − | 1.04596i | ||||
\(655\) | 1.29405 | − | 2.14259i | 0.0505628 | − | 0.0837180i | ||||
\(656\) | 4.33331 | + | 2.50184i | 0.169187 | + | 0.0976804i | ||||
\(657\) | −0.891964 | + | 0.451631i | −0.0347988 | + | 0.0176198i | ||||
\(658\) | 1.62017 | + | 2.00075i | 0.0631609 | + | 0.0779972i | ||||
\(659\) | −8.37551 | + | 6.08516i | −0.326263 | + | 0.237044i | −0.738843 | − | 0.673877i | \(-0.764628\pi\) |
0.412580 | + | 0.910921i | \(0.364628\pi\) | |||||||
\(660\) | 6.79367 | − | 4.21172i | 0.264443 | − | 0.163941i | ||||
\(661\) | −22.9474 | − | 25.4857i | −0.892551 | − | 0.991278i | 0.107445 | − | 0.994211i | \(-0.465733\pi\) |
−0.999996 | + | 0.00293299i | \(0.999066\pi\) | |||||||
\(662\) | −2.40441 | + | 6.26370i | −0.0934501 | + | 0.243446i | ||||
\(663\) | −3.44349 | + | 2.23002i | −0.133734 | + | 0.0866068i | ||||
\(664\) | 1.78244 | − | 8.38570i | 0.0691719 | − | 0.325428i | ||||
\(665\) | 0.415144 | − | 0.201310i | 0.0160986 | − | 0.00780646i | ||||
\(666\) | 5.61026 | + | 3.25810i | 0.217393 | + | 0.126249i | ||||
\(667\) | 12.2754 | − | 24.0919i | 0.475306 | − | 0.932841i | ||||
\(668\) | 0.0519027 | + | 0.135211i | 0.00200817 | + | 0.00523147i | ||||
\(669\) | −22.9253 | − | 16.7007i | −0.886342 | − | 0.645685i | ||||
\(670\) | −14.3217 | + | 4.34292i | −0.553295 | + | 0.167782i | ||||
\(671\) | 6.76134 | + | 15.1862i | 0.261018 | + | 0.586257i | ||||
\(672\) | 0.470240 | − | 0.920010i | 0.0181399 | − | 0.0354902i | ||||
\(673\) | −6.08185 | − | 4.92499i | −0.234438 | − | 0.189844i | 0.504901 | − | 0.863177i | \(-0.331529\pi\) |
−0.739340 | + | 0.673333i | \(0.764862\pi\) | |||||||
\(674\) | 12.8926 | − | 9.36704i | 0.496606 | − | 0.360805i | ||||
\(675\) | −10.3511 | + | 23.8297i | −0.398416 | + | 0.917205i | ||||
\(676\) | −5.31735 | − | 9.20992i | −0.204514 | − | 0.354228i | ||||
\(677\) | −9.64644 | − | 36.0010i | −0.370743 | − | 1.38363i | −0.859466 | − | 0.511192i | \(-0.829204\pi\) |
0.488724 | − | 0.872439i | \(-0.337463\pi\) | |||||||
\(678\) | −0.442852 | + | 1.64440i | −0.0170076 | + | 0.0631526i | ||||
\(679\) | 4.50523 | + | 4.05653i | 0.172895 | + | 0.155675i | ||||
\(680\) | −0.782317 | + | 3.35371i | −0.0300005 | + | 0.128609i | ||||
\(681\) | 22.8195 | + | 10.1946i | 0.874447 | + | 0.390659i | ||||
\(682\) | −3.19516 | − | 11.0379i | −0.122349 | − | 0.422664i | ||||
\(683\) | 27.5893 | + | 27.5893i | 1.05567 | + | 1.05567i | 0.998356 | + | 0.0573177i | \(0.0182548\pi\) |
0.0573177 | + | 0.998356i | \(0.481745\pi\) | |||||||
\(684\) | 0.419654 | + | 0.949032i | 0.0160459 | + | 0.0362872i | ||||
\(685\) | −2.37365 | − | 17.1732i | −0.0906925 | − | 0.656154i | ||||
\(686\) | 4.78407 | − | 6.58471i | 0.182657 | − | 0.251405i | ||||
\(687\) | −0.924316 | + | 5.78835i | −0.0352649 | + | 0.220840i | ||||
\(688\) | −4.91224 | − | 1.31623i | −0.187277 | − | 0.0501808i | ||||
\(689\) | 0.267897 | − | 2.54887i | 0.0102061 | − | 0.0971042i | ||||
\(690\) | 13.4706 | + | 7.22383i | 0.512815 | + | 0.275007i | ||||
\(691\) | −1.55915 | − | 14.8344i | −0.0593130 | − | 0.564325i | −0.983312 | − | 0.181930i | \(-0.941766\pi\) |
0.923999 | − | 0.382396i | \(-0.124901\pi\) | |||||||
\(692\) | 21.9511 | + | 1.15041i | 0.834455 | + | 0.0437320i | ||||
\(693\) | −1.31486 | − | 3.45149i | −0.0499475 | − | 0.131111i | ||||
\(694\) | −0.217173 | − | 1.02172i | −0.00824379 | − | 0.0387840i | ||||
\(695\) | 1.28386 | − | 10.2628i | 0.0486995 | − | 0.389291i | ||||
\(696\) | 8.82859 | − | 7.92904i | 0.334647 | − | 0.300549i | ||||
\(697\) | −3.49850 | + | 6.86620i | −0.132515 | + | 0.260076i | ||||
\(698\) | −8.75882 | + | 17.1901i | −0.331526 | + | 0.650657i | ||||
\(699\) | 14.0043 | − | 12.5774i | 0.529691 | − | 0.475720i | ||||
\(700\) | 2.19062 | − | 2.02420i | 0.0827976 | − | 0.0765076i | ||||
\(701\) | 7.15334 | + | 33.6538i | 0.270178 | + | 1.27109i | 0.878633 | + | 0.477498i | \(0.158456\pi\) |
−0.608455 | + | 0.793588i | \(0.708210\pi\) | |||||||
\(702\) | −0.448616 | + | 7.97883i | −0.0169319 | + | 0.301142i | ||||
\(703\) | 0.746989 | + | 0.0391481i | 0.0281732 | + | 0.00147650i | ||||
\(704\) | −0.215732 | − | 2.05255i | −0.00813070 | − | 0.0773584i | ||||
\(705\) | −16.0017 | + | 4.83022i | −0.602660 | + | 0.181917i | ||||
\(706\) | −2.91896 | + | 27.7720i | −0.109856 | + | 1.04521i | ||||
\(707\) | −7.67197 | − | 2.05570i | −0.288534 | − | 0.0773124i | ||||
\(708\) | 0.914991 | − | 5.72996i | 0.0343875 | − | 0.215345i | ||||
\(709\) | 8.00773 | − | 11.0217i | 0.300737 | − | 0.413928i | −0.631728 | − | 0.775190i | \(-0.717654\pi\) |
0.932464 | + | 0.361262i | \(0.117654\pi\) | |||||||
\(710\) | −25.0129 | + | 3.45724i | −0.938718 | + | 0.129748i | ||||
\(711\) | −41.6428 | + | 18.4141i | −1.56173 | + | 0.690582i | ||||
\(712\) | 5.21313 | + | 5.21313i | 0.195370 | + | 0.195370i | ||||
\(713\) | 15.2246 | − | 15.8451i | 0.570165 | − | 0.593404i | ||||
\(714\) | 1.45286 | + | 0.649065i | 0.0543719 | + | 0.0242906i | ||||
\(715\) | 6.02760 | − | 3.74740i | 0.225420 | − | 0.140145i | ||||
\(716\) | 3.05117 | + | 2.74728i | 0.114027 | + | 0.102671i | ||||
\(717\) | 3.17249 | − | 11.7801i | 0.118479 | − | 0.439935i | ||||
\(718\) | 3.51310 | + | 13.1111i | 0.131108 | + | 0.489300i | ||||
\(719\) | −14.9722 | − | 25.9326i | −0.558368 | − | 0.967122i | −0.997633 | − | 0.0687643i | \(-0.978094\pi\) |
0.439265 | − | 0.898358i | \(-0.355239\pi\) | |||||||
\(720\) | 4.37654 | + | 5.08388i | 0.163104 | + | 0.189465i | ||||
\(721\) | −3.75756 | + | 2.73003i | −0.139939 | + | 0.101672i | ||||
\(722\) | −14.6728 | − | 11.8818i | −0.546065 | − | 0.442195i | ||||
\(723\) | −8.31788 | + | 16.2737i | −0.309345 | + | 0.605224i | ||||
\(724\) | 4.50402 | + | 10.1162i | 0.167391 | + | 0.375965i | ||||
\(725\) | 31.8194 | − | 12.6875i | 1.18174 | − | 0.471203i | ||||
\(726\) | 9.43646 | + | 6.87430i | 0.350220 | + | 0.255129i | ||||
\(727\) | −12.2280 | − | 31.8551i | −0.453513 | − | 1.18144i | −0.949682 | − | 0.313215i | \(-0.898594\pi\) |
0.496170 | − | 0.868226i | \(-0.334739\pi\) | |||||||
\(728\) | 0.416507 | − | 0.817440i | 0.0154368 | − | 0.0302963i | ||||
\(729\) | −16.0360 | + | 21.7220i | −0.593928 | + | 0.804518i | ||||
\(730\) | −0.244217 | + | 0.704042i | −0.00903887 | + | 0.0260578i | ||||
\(731\) | 1.62840 | − | 7.66101i | 0.0602285 | − | 0.283353i | ||||
\(732\) | −11.7098 | + | 7.58332i | −0.432806 | + | 0.280287i | ||||
\(733\) | 7.08226 | − | 18.4499i | 0.261589 | − | 0.681463i | −0.738386 | − | 0.674379i | \(-0.764412\pi\) |
0.999975 | − | 0.00708468i | \(-0.00225514\pi\) | |||||||
\(734\) | 5.51502 | + | 6.12505i | 0.203563 | + | 0.226080i | ||||
\(735\) | 13.5588 | + | 21.8708i | 0.500122 | + | 0.806716i | ||||
\(736\) | 3.19290 | − | 2.31978i | 0.117692 | − | 0.0855081i | ||||
\(737\) | 8.69286 | + | 10.7348i | 0.320206 | + | 0.395421i | ||||
\(738\) | 6.78090 | + | 13.3922i | 0.249608 | + | 0.492973i | ||||
\(739\) | −2.28171 | − | 1.31734i | −0.0839339 | − | 0.0484593i | 0.457446 | − | 0.889238i | \(-0.348764\pi\) |
−0.541380 | + | 0.840778i | \(0.682098\pi\) | |||||||
\(740\) | 4.69466 | − | 1.15916i | 0.172579 | − | 0.0426114i | ||||
\(741\) | 0.373695 | + | 0.842207i | 0.0137280 | + | 0.0309393i | ||||
\(742\) | −0.885735 | + | 0.451305i | −0.0325164 | + | 0.0165679i | ||||
\(743\) | 27.0117 | + | 27.0117i | 0.990964 | + | 0.990964i | 0.999960 | − | 0.00899564i | \(-0.00286344\pi\) |
−0.00899564 | + | 0.999960i | \(0.502863\pi\) | |||||||
\(744\) | 8.73502 | − | 4.08648i | 0.320242 | − | 0.149818i | ||||
\(745\) | 4.34625 | − | 0.370271i | 0.159234 | − | 0.0135657i | ||||
\(746\) | 18.9766 | + | 6.16588i | 0.694783 | + | 0.225749i | ||||
\(747\) | 18.2323 | − | 18.1400i | 0.667084 | − | 0.663706i | ||||
\(748\) | 3.13939 | − | 0.497231i | 0.114788 | − | 0.0181806i | ||||
\(749\) | −0.240300 | + | 0.416212i | −0.00878038 | + | 0.0152081i | ||||
\(750\) | 6.79303 | + | 18.1344i | 0.248046 | + | 0.662173i | ||||
\(751\) | −3.01392 | + | 28.6755i | −0.109979 | + | 1.04638i | 0.790790 | + | 0.612087i | \(0.209670\pi\) |
−0.900770 | + | 0.434297i | \(0.856997\pi\) | |||||||
\(752\) | −0.675134 | + | 4.26263i | −0.0246196 | + | 0.155442i | ||||
\(753\) | −21.1313 | − | 41.6029i | −0.770066 | − | 1.51609i | ||||
\(754\) | 7.83029 | − | 7.05043i | 0.285163 | − | 0.256761i | ||||
\(755\) | −11.6279 | + | 6.41085i | −0.423182 | + | 0.233315i | ||||
\(756\) | 2.69027 | − | 1.53960i | 0.0978440 | − | 0.0559947i | ||||
\(757\) | −10.2147 | − | 15.7292i | −0.371259 | − | 0.571689i | 0.602825 | − | 0.797873i | \(-0.294042\pi\) |
−0.974085 | + | 0.226184i | \(0.927375\pi\) | |||||||
\(758\) | −8.16242 | − | 21.2638i | −0.296472 | − | 0.772337i | ||||
\(759\) | 1.49250 | − | 14.0289i | 0.0541743 | − | 0.509217i | ||||
\(760\) | 0.716457 | + | 0.291368i | 0.0259886 | + | 0.0105690i | ||||
\(761\) | −19.4906 | + | 43.7767i | −0.706535 | + | 1.58690i | 0.0995012 | + | 0.995037i | \(0.468275\pi\) |
−0.806036 | + | 0.591866i | \(0.798391\pi\) | |||||||
\(762\) | 0.231950 | + | 1.47660i | 0.00840265 | + | 0.0534914i | ||||
\(763\) | −5.48920 | + | 8.45263i | −0.198723 | + | 0.306006i | ||||
\(764\) | −12.8662 | + | 5.72841i | −0.465483 | + | 0.207246i | ||||
\(765\) | −7.46615 | + | 7.14081i | −0.269939 | + | 0.258176i | ||||
\(766\) | 1.54073 | + | 14.6591i | 0.0556690 | + | 0.529655i | ||||
\(767\) | 0.805998 | − | 5.08887i | 0.0291029 | − | 0.183748i | ||||
\(768\) | 1.67360 | − | 0.446164i | 0.0603908 | − | 0.0160996i | ||||
\(769\) | 22.1589 | − | 12.7935i | 0.799071 | − | 0.461344i | −0.0440751 | − | 0.999028i | \(-0.514034\pi\) |
0.843146 | + | 0.537684i | \(0.180701\pi\) | |||||||
\(770\) | −2.49235 | − | 1.16912i | −0.0898182 | − | 0.0421323i | ||||
\(771\) | −15.1954 | − | 26.3966i | −0.547250 | − | 0.950649i | ||||
\(772\) | 0.0282998 | − | 0.00148313i | 0.00101853 | − | 5.33790e-5i | ||||
\(773\) | 19.0319 | − | 9.69726i | 0.684531 | − | 0.348786i | −0.0768936 | − | 0.997039i | \(-0.524500\pi\) |
0.761425 | + | 0.648253i | \(0.224500\pi\) | |||||||
\(774\) | −10.1798 | − | 11.3637i | −0.365906 | − | 0.408460i | ||||
\(775\) | 27.7378 | − | 2.36973i | 0.996370 | − | 0.0851233i | ||||
\(776\) | 10.1627i | 0.364821i | ||||||||
\(777\) | −0.114108 | − | 2.23149i | −0.00409361 | − | 0.0800543i | ||||
\(778\) | −1.60481 | − | 30.6215i | −0.0575351 | − | 1.09784i | ||||
\(779\) | 1.40019 | + | 1.01730i | 0.0501671 | + | 0.0364485i | ||||
\(780\) | 3.89182 | + | 4.50923i | 0.139350 | + | 0.161456i | ||||
\(781\) | 11.6530 | + | 20.1836i | 0.416978 | + | 0.722227i | ||||
\(782\) | 3.82513 | + | 4.72364i | 0.136786 | + | 0.168917i | ||||
\(783\) | 35.1821 | − | 5.43510i | 1.25731 | − | 0.194234i | ||||
\(784\) | 6.60775 | − | 0.694503i | 0.235991 | − | 0.0248037i | ||||
\(785\) | −1.63087 | − | 49.9656i | −0.0582082 | − | 1.78335i | ||||
\(786\) | 0.00246027 | − | 1.93886i | 8.77548e−5 | − | 0.0691567i | ||||
\(787\) | −27.9090 | − | 18.1243i | −0.994848 | − | 0.646062i | −0.0589235 | − | 0.998263i | \(-0.518767\pi\) |
−0.935925 | + | 0.352201i | \(0.885433\pi\) | |||||||
\(788\) | 3.68661 | + | 5.67688i | 0.131330 | + | 0.202230i | ||||
\(789\) | −34.8334 | + | 31.2842i | −1.24010 | + | 1.11375i | ||||
\(790\) | −12.7850 | + | 31.4376i | −0.454870 | + | 1.11850i | ||||
\(791\) | 0.557813 | − | 0.181244i | 0.0198335 | − | 0.00644431i | ||||
\(792\) | 2.82491 | − | 5.50958i | 0.100379 | − | 0.195774i | ||||
\(793\) | −10.3890 | + | 6.74670i | −0.368924 | + | 0.239582i | ||||
\(794\) | 5.25599 | − | 1.11720i | 0.186528 | − | 0.0396478i | ||||
\(795\) | −0.539702 | − | 6.43150i | −0.0191413 | − | 0.228102i | ||||
\(796\) | 12.0573 | + | 13.3910i | 0.427361 | + | 0.474632i | ||||
\(797\) | 13.9758 | + | 11.3174i | 0.495048 | + | 0.400882i | 0.844070 | − | 0.536233i | \(-0.180153\pi\) |
−0.349023 | + | 0.937114i | \(0.613486\pi\) | |||||||
\(798\) | 0.195025 | − | 0.299479i | 0.00690380 | − | 0.0106014i | ||||
\(799\) | −6.61025 | − | 0.694765i | −0.233854 | − | 0.0245790i | ||||
\(800\) | 4.97894 | + | 0.458471i | 0.176032 | + | 0.0162094i | ||||
\(801\) | 4.54355 | + | 21.6457i | 0.160538 | + | 0.764813i | ||||
\(802\) | −1.31470 | − | 8.30070i | −0.0464237 | − | 0.293108i | ||||
\(803\) | 0.686862 | − | 0.0359969i | 0.0242388 | − | 0.00127030i | ||||
\(804\) | −7.76773 | + | 8.60495i | −0.273947 | + | 0.303473i | ||||
\(805\) | −0.446869 | − | 5.24535i | −0.0157501 | − | 0.184874i | ||||
\(806\) | 7.75154 | − | 3.63838i | 0.273036 | − | 0.128156i | ||||
\(807\) | −6.39063 | − | 16.7115i | −0.224961 | − | 0.588273i | ||||
\(808\) | −6.04474 | − | 11.8635i | −0.212653 | − | 0.417355i | ||||
\(809\) | 35.6719 | − | 39.6176i | 1.25416 | − | 1.39288i | 0.367781 | − | 0.929912i | \(-0.380117\pi\) |
0.886374 | − | 0.462969i | \(-0.153216\pi\) | |||||||
\(810\) | 2.65417 | + | 19.9488i | 0.0932582 | + | 0.700930i | ||||
\(811\) | 28.4716 | − | 49.3143i | 0.999774 | − | 1.73166i | 0.481490 | − | 0.876451i | \(-0.340096\pi\) |
0.518284 | − | 0.855209i | \(-0.326571\pi\) | |||||||
\(812\) | −3.94764 | − | 1.05777i | −0.138535 | − | 0.0371204i | ||||
\(813\) | −2.96391 | + | 0.790149i | −0.103949 | + | 0.0277117i | ||||
\(814\) | −2.62342 | − | 3.61083i | −0.0919508 | − | 0.126559i | ||||
\(815\) | −3.53336 | − | 2.39501i | −0.123768 | − | 0.0838937i | ||||
\(816\) | 0.821088 | + | 2.53800i | 0.0287438 | + | 0.0888478i | ||||
\(817\) | −1.64221 | − | 0.630384i | −0.0574535 | − | 0.0220543i | ||||
\(818\) | −3.48981 | − | 2.26631i | −0.122018 | − | 0.0792397i | ||||
\(819\) | 2.38705 | − | 1.37010i | 0.0834103 | − | 0.0478751i | ||||
\(820\) | 10.5707 | + | 3.66673i | 0.369144 | + | 0.128048i | ||||
\(821\) | 42.5969 | − | 13.8406i | 1.48664 | − | 0.483039i | 0.550552 | − | 0.834801i | \(-0.314417\pi\) |
0.936090 | + | 0.351762i | \(0.114417\pi\) | |||||||
\(822\) | −8.43775 | − | 10.4468i | −0.294300 | − | 0.364375i | ||||
\(823\) | −43.9594 | + | 16.8744i | −1.53233 | + | 0.588206i | −0.970935 | − | 0.239342i | \(-0.923068\pi\) |
−0.561394 | + | 0.827549i | \(0.689735\pi\) | |||||||
\(824\) | −7.61589 | − | 1.61881i | −0.265312 | − | 0.0563938i | ||||
\(825\) | 13.1427 | − | 12.1134i | 0.457569 | − | 0.421733i | ||||
\(826\) | −1.82567 | + | 0.812838i | −0.0635230 | + | 0.0282823i | ||||
\(827\) | −25.1882 | − | 1.32006i | −0.875881 | − | 0.0459030i | −0.390906 | − | 0.920431i | \(-0.627838\pi\) |
−0.484975 | + | 0.874528i | \(0.661171\pi\) | |||||||
\(828\) | 11.8252 | − | 0.589645i | 0.410955 | − | 0.0204916i | ||||
\(829\) | −13.0132 | − | 17.9111i | −0.451966 | − | 0.622078i | 0.520852 | − | 0.853647i | \(-0.325614\pi\) |
−0.972819 | + | 0.231569i | \(0.925614\pi\) | |||||||
\(830\) | 0.378228 | − | 19.1662i | 0.0131285 | − | 0.665268i | ||||
\(831\) | 39.3847 | − | 4.08898i | 1.36624 | − | 0.141845i | ||||
\(832\) | 1.48555 | − | 0.398051i | 0.0515021 | − | 0.0137999i | ||||
\(833\) | 1.60073 | + | 10.1066i | 0.0554620 | + | 0.350173i | ||||
\(834\) | −3.24928 | − | 7.32300i | −0.112513 | − | 0.253575i | ||||
\(835\) | 0.170989 | + | 0.275032i | 0.00591731 | + | 0.00951786i | ||||
\(836\) | − | 0.713872i | − | 0.0246898i | ||||||
\(837\) | 28.6442 | + | 4.06337i | 0.990088 | + | 0.140451i | ||||
\(838\) | −0.479476 | + | 0.479476i | −0.0165632 | + | 0.0165632i | ||||
\(839\) | −2.75095 | + | 8.46655i | −0.0949734 | + | 0.292298i | −0.987247 | − | 0.159198i | \(-0.949109\pi\) |
0.892273 | + | 0.451496i | \(0.149109\pi\) | |||||||
\(840\) | 0.644693 | − | 2.21858i | 0.0222440 | − | 0.0765482i | ||||
\(841\) | −14.5121 | − | 10.5436i | −0.500416 | − | 0.363574i | ||||
\(842\) | 0.350733 | + | 1.30895i | 0.0120871 | + | 0.0451095i | ||||
\(843\) | −33.7059 | − | 27.3654i | −1.16089 | − | 0.942513i | ||||
\(844\) | 21.5366 | + | 2.26359i | 0.741321 | + | 0.0779159i | ||||
\(845\) | −15.5601 | − | 17.9824i | −0.535284 | − | 0.618614i | ||||
\(846\) | −8.68781 | + | 9.59969i | −0.298693 | + | 0.330044i | ||||
\(847\) | 0.210438 | − | 4.01540i | 0.00723074 | − | 0.137971i | ||||
\(848\) | −1.55576 | − | 0.597200i | −0.0534250 | − | 0.0205079i | ||||
\(849\) | −31.5134 | − | 6.74020i | −1.08154 | − | 0.231323i | ||||
\(850\) | −0.303806 | + | 7.69446i | −0.0104204 | + | 0.263918i | ||||
\(851\) | 3.47145 | − | 7.79700i | 0.119000 | − | 0.267278i | ||||
\(852\) | −15.2159 | + | 12.2897i | −0.521288 | + | 0.421037i | ||||
\(853\) | 14.3910 | + | 7.33260i | 0.492740 | + | 0.251063i | 0.682660 | − | 0.730736i | \(-0.260823\pi\) |
−0.189920 | + | 0.981800i | \(0.560823\pi\) | |||||||
\(854\) | 4.38937 | + | 1.95427i | 0.150201 | + | 0.0668738i | ||||
\(855\) | 1.32171 | + | 1.90708i | 0.0452015 | + | 0.0652207i | ||||
\(856\) | −0.788055 | + | 0.167506i | −0.0269352 | + | 0.00572524i | ||||
\(857\) | −3.20692 | + | 8.35431i | −0.109546 | + | 0.285378i | −0.977385 | − | 0.211469i | \(-0.932175\pi\) |
0.867839 | + | 0.496846i | \(0.165509\pi\) | |||||||
\(858\) | 2.50213 | − | 4.89534i | 0.0854213 | − | 0.167124i | ||||
\(859\) | −35.3261 | + | 3.71293i | −1.20531 | + | 0.126683i | −0.685807 | − | 0.727784i | \(-0.740551\pi\) |
−0.519506 | + | 0.854467i | \(0.673884\pi\) | |||||||
\(860\) | −11.3420 | − | 0.819084i | −0.386760 | − | 0.0279305i | ||||
\(861\) | 2.59063 | − | 4.47398i | 0.0882884 | − | 0.152473i | ||||
\(862\) | −2.74229 | + | 10.2344i | −0.0934029 | + | 0.348584i | ||||
\(863\) | 32.1641 | − | 8.61835i | 1.09488 | − | 0.293372i | 0.334201 | − | 0.942502i | \(-0.391533\pi\) |
0.760678 | + | 0.649130i | \(0.224867\pi\) | |||||||
\(864\) | 4.93569 | + | 1.62450i | 0.167915 | + | 0.0552666i | ||||
\(865\) | 48.6886 | − | 6.72966i | 1.65546 | − | 0.228815i | ||||
\(866\) | −38.2419 | − | 12.4255i | −1.29951 | − | 0.422237i | ||||
\(867\) | 23.6653 | − | 9.04982i | 0.803716 | − | 0.307348i | ||||
\(868\) | −2.82108 | − | 1.75295i | −0.0957535 | − | 0.0594989i | ||||
\(869\) | 31.3241 | 1.06260 | ||||||||
\(870\) | 16.0438 | − | 21.1344i | 0.543936 | − | 0.716525i | ||||
\(871\) | −6.88755 | + | 7.64940i | −0.233376 | + | 0.259190i | ||||
\(872\) | −16.6874 | + | 2.64302i | −0.565106 | + | 0.0895040i | ||||
\(873\) | −16.6699 | + | 25.5274i | −0.564191 | + | 0.863970i | ||||
\(874\) | 1.18222 | − | 0.682556i | 0.0399892 | − | 0.0230878i | ||||
\(875\) | 3.95697 | − | 5.36874i | 0.133770 | − | 0.181497i | ||||
\(876\) | 0.119296 | + | 0.564764i | 0.00403062 | + | 0.0190816i | ||||
\(877\) | 15.9604 | − | 19.7094i | 0.538943 | − | 0.665539i | −0.432825 | − | 0.901478i | \(-0.642483\pi\) |
0.971768 | + | 0.235939i | \(0.0758165\pi\) | |||||||
\(878\) | 1.79618 | − | 34.2732i | 0.0606182 | − | 1.15667i | ||||
\(879\) | −0.0237331 | + | 18.7033i | −0.000800497 | + | 0.630845i | ||||
\(880\) | −1.33922 | − | 4.41634i | −0.0451449 | − | 0.148875i | ||||
\(881\) | 2.00586 | − | 9.43682i | 0.0675791 | − | 0.317935i | −0.931354 | − | 0.364115i | \(-0.881372\pi\) |
0.998933 | + | 0.0461803i | \(0.0147049\pi\) | |||||||
\(882\) | 17.7369 | + | 9.09419i | 0.597233 | + | 0.306217i | ||||
\(883\) | −50.7112 | − | 25.8387i | −1.70657 | − | 0.869540i | −0.983984 | − | 0.178257i | \(-0.942954\pi\) |
−0.722584 | − | 0.691283i | \(-0.757046\pi\) | |||||||
\(884\) | 0.731933 | + | 2.25266i | 0.0246176 | + | 0.0757651i | ||||
\(885\) | −0.406818 | − | 12.9685i | −0.0136750 | − | 0.435932i | ||||
\(886\) | 21.9512 | + | 4.66586i | 0.737463 | + | 0.156753i | ||||
\(887\) | 22.3600 | − | 34.4313i | 0.750775 | − | 1.15609i | −0.232257 | − | 0.972654i | \(-0.574611\pi\) |
0.983031 | − | 0.183437i | \(-0.0587223\pi\) | |||||||
\(888\) | 2.65195 | − | 2.64523i | 0.0889937 | − | 0.0887681i | ||||
\(889\) | 0.382560 | − | 0.344459i | 0.0128307 | − | 0.0115528i | ||||
\(890\) | 13.6459 | + | 9.24960i | 0.457413 | + | 0.310047i | ||||
\(891\) | 16.1331 | − | 9.20559i | 0.540479 | − | 0.308399i | ||||
\(892\) | −12.7262 | + | 10.3055i | −0.426106 | + | 0.345054i | ||||
\(893\) | −0.386362 | + | 1.44192i | −0.0129291 | + | 0.0482521i | ||||
\(894\) | 2.73601 | − | 1.98253i | 0.0915059 | − | 0.0663057i | ||||
\(895\) | 7.85863 | + | 4.74635i | 0.262685 | + | 0.158653i | ||||
\(896\) | −0.443308 | − | 0.399156i | −0.0148099 | − | 0.0133349i | ||||
\(897\) | 10.4994 | − | 0.536891i | 0.350564 | − | 0.0179263i | ||||
\(898\) | 15.1374 | − | 15.1374i | 0.505143 | − | 0.505143i | ||||
\(899\) | −23.0331 | − | 30.4064i | −0.768197 | − | 1.01411i | ||||
\(900\) | 11.7543 | + | 9.31855i | 0.391812 | + | 0.310618i | ||||
\(901\) | 0.793084 | − | 2.44086i | 0.0264215 | − | 0.0813169i | ||||
\(902\) | −0.540467 | − | 10.3127i | −0.0179956 | − | 0.343376i | ||||
\(903\) | −1.36639 | + | 5.07369i | −0.0454708 | + | 0.168842i | ||||
\(904\) | 0.851492 | + | 0.491609i | 0.0283202 | + | 0.0163507i | ||||
\(905\) | 14.1562 | + | 20.3155i | 0.470568 | + | 0.675310i | ||||
\(906\) | −5.15386 | + | 8.90065i | −0.171226 | + | 0.295704i | ||||
\(907\) | 34.5933 | + | 5.47905i | 1.14865 | + | 0.181929i | 0.701595 | − | 0.712576i | \(-0.252472\pi\) |
0.447058 | + | 0.894505i | \(0.352472\pi\) | |||||||
\(908\) | 9.08100 | − | 11.2141i | 0.301364 | − | 0.372153i | ||||
\(909\) | 4.27609 | − | 39.7145i | 0.141829 | − | 1.31725i | ||||
\(910\) | 0.569946 | − | 1.97068i | 0.0188935 | − | 0.0653275i | ||||
\(911\) | 5.93106 | + | 27.9035i | 0.196505 | + | 0.924483i | 0.960288 | + | 0.279010i | \(0.0900063\pi\) |
−0.763783 | + | 0.645473i | \(0.776660\pi\) | |||||||
\(912\) | 0.591845 | − | 0.0929694i | 0.0195979 | − | 0.00307852i | ||||
\(913\) | −16.5183 | + | 6.34079i | −0.546677 | + | 0.209850i | ||||
\(914\) | −5.29539 | − | 16.2975i | −0.175156 | − | 0.539074i | ||||
\(915\) | −22.5165 | + | 21.5901i | −0.744374 | + | 0.713748i | ||||
\(916\) | 3.09166 | + | 1.37650i | 0.102151 | + | 0.0454808i | ||||
\(917\) | −0.560027 | + | 0.363686i | −0.0184937 | + | 0.0120100i | ||||
\(918\) | −2.10062 | + | 7.72192i | −0.0693308 | + | 0.254861i | ||||
\(919\) | 2.79861 | + | 6.28578i | 0.0923176 | + | 0.207349i | 0.953802 | − | 0.300435i | \(-0.0971317\pi\) |
−0.861485 | + | 0.507783i | \(0.830465\pi\) | |||||||
\(920\) | 6.03330 | − | 6.44044i | 0.198912 | − | 0.212335i | ||||
\(921\) | −49.7924 | − | 16.2484i | −1.64072 | − | 0.535404i | ||||
\(922\) | 21.3445 | + | 3.38063i | 0.702943 | + | 0.111335i | ||||
\(923\) | −13.4969 | + | 10.9296i | −0.444256 | + | 0.359751i | ||||
\(924\) | −2.12102 | + | 0.220207i | −0.0697764 | + | 0.00724429i | ||||
\(925\) | 9.82048 | − | 4.52500i | 0.322895 | − | 0.148781i | ||||
\(926\) | 8.98663 | − | 12.3690i | 0.295319 | − | 0.406472i | ||||
\(927\) | −16.4747 | − | 16.5585i | −0.541100 | − | 0.543853i | ||||
\(928\) | −3.11035 | − | 6.10440i | −0.102102 | − | 0.200387i | ||||
\(929\) | 53.4603 | 1.75398 | 0.876988 | − | 0.480512i | \(-0.159549\pi\) | ||||
0.876988 | + | 0.480512i | \(0.159549\pi\) | |||||||
\(930\) | 17.4586 | − | 12.6569i | 0.572489 | − | 0.415037i | ||||
\(931\) | 2.29816 | 0.0753191 | ||||||||
\(932\) | −4.93377 | − | 9.68306i | −0.161611 | − | 0.317179i | ||||
\(933\) | 13.1370 | − | 34.0936i | 0.430085 | − | 1.11617i | ||||
\(934\) | −17.2392 | + | 23.7277i | −0.564083 | + | 0.776394i | ||||
\(935\) | 6.68429 | − | 2.41565i | 0.218600 | − | 0.0790003i | ||||
\(936\) | 4.38441 | + | 1.43689i | 0.143309 | + | 0.0469663i | ||||
\(937\) | −0.806074 | + | 0.652746i | −0.0263333 | + | 0.0213243i | −0.642397 | − | 0.766372i | \(-0.722060\pi\) |
0.616063 | + | 0.787697i | \(0.288726\pi\) | |||||||
\(938\) | 3.94333 | + | 0.624563i | 0.128754 | + | 0.0203927i | ||||
\(939\) | 1.95238 | − | 5.98297i | 0.0637135 | − | 0.195247i | ||||
\(940\) | 0.314818 | + | 9.64520i | 0.0102682 | + | 0.314592i | ||||
\(941\) | −5.53661 | − | 12.4354i | −0.180488 | − | 0.405384i | 0.800532 | − | 0.599291i | \(-0.204551\pi\) |
−0.981020 | + | 0.193907i | \(0.937884\pi\) | |||||||
\(942\) | −21.0493 | − | 32.5032i | −0.685822 | − | 1.05901i | ||||
\(943\) | 16.5618 | − | 10.7554i | 0.539327 | − | 0.350243i | ||||
\(944\) | −3.06047 | − | 1.36261i | −0.0996100 | − | 0.0443492i | ||||
\(945\) | 5.25850 | − | 4.51526i | 0.171059 | − | 0.146882i | ||||
\(946\) | 3.24338 | + | 9.98209i | 0.105451 | + | 0.324546i | ||||
\(947\) | −33.0425 | + | 12.6838i | −1.07374 | + | 0.412169i | −0.830052 | − | 0.557686i | \(-0.811689\pi\) |
−0.243684 | + | 0.969855i | \(0.578356\pi\) | |||||||
\(948\) | 4.07942 | + | 25.9697i | 0.132493 | + | 0.843456i | ||||
\(949\) | 0.106563 | + | 0.501340i | 0.00345919 | + | 0.0162742i | ||||
\(950\) | 1.69616 | + | 0.337729i | 0.0550308 | + | 0.0109574i | ||||
\(951\) | −6.57481 | − | 20.3229i | −0.213203 | − | 0.659015i | ||||
\(952\) | 0.578163 | − | 0.713972i | 0.0187384 | − | 0.0231400i | ||||
\(953\) | −18.7548 | − | 2.97047i | −0.607529 | − | 0.0962231i | −0.154912 | − | 0.987928i | \(-0.549509\pi\) |
−0.452617 | + | 0.891705i | \(0.649509\pi\) | |||||||
\(954\) | −2.92826 | − | 4.05199i | −0.0948059 | − | 0.131188i | ||||
\(955\) | −25.8381 | + | 18.0045i | −0.836102 | + | 0.582611i | ||||
\(956\) | −6.09990 | − | 3.52178i | −0.197285 | − | 0.113902i | ||||
\(957\) | −23.6482 | − | 6.36869i | −0.764437 | − | 0.205870i | ||||
\(958\) | 1.41938 | + | 27.0833i | 0.0458579 | + | 0.875022i | ||||
\(959\) | −1.42919 | + | 4.39860i | −0.0461510 | + | 0.142038i | ||||
\(960\) | 3.48701 | − | 1.68545i | 0.112543 | − | 0.0543975i | ||||
\(961\) | −10.7491 | − | 29.0767i | −0.346745 | − | 0.937959i | ||||
\(962\) | 2.35178 | − | 2.35178i | 0.0758245 | − | 0.0758245i | ||||
\(963\) | −2.25424 | − | 0.871892i | −0.0726419 | − | 0.0280963i | ||||
\(964\) | 7.84149 | + | 7.06051i | 0.252557 | + | 0.227404i | ||||
\(965\) | 0.0615196 | − | 0.0151898i | 0.00198038 | − | 0.000488976i | ||||
\(966\) | −2.39265 | − | 3.30201i | −0.0769824 | − | 0.106240i | ||||
\(967\) | −1.44665 | + | 5.39896i | −0.0465210 | + | 0.173619i | −0.985278 | − | 0.170962i | \(-0.945312\pi\) |
0.938757 | + | 0.344581i | \(0.111979\pi\) | |||||||
\(968\) | 5.23835 | − | 4.24193i | 0.168367 | − | 0.136341i | ||||
\(969\) | 0.190689 | + | 0.902752i | 0.00612581 | + | 0.0290006i | ||||
\(970\) | 4.28522 | + | 22.3169i | 0.137590 | + | 0.716552i | ||||
\(971\) | −9.41681 | + | 8.47894i | −0.302200 | + | 0.272102i | −0.806253 | − | 0.591571i | \(-0.798508\pi\) |
0.504053 | + | 0.863672i | \(0.331841\pi\) | |||||||
\(972\) | 9.73307 | + | 12.1765i | 0.312189 | + | 0.390562i | ||||
\(973\) | −1.50278 | + | 2.31407i | −0.0481768 | + | 0.0741858i | ||||
\(974\) | 18.3862 | + | 3.90810i | 0.589131 | + | 0.125224i | ||||
\(975\) | 10.4476 | + | 8.26103i | 0.334591 | + | 0.264565i | ||||
\(976\) | 2.48898 | + | 7.66030i | 0.0796704 | + | 0.245200i | ||||
\(977\) | 21.3243 | + | 10.8653i | 0.682225 | + | 0.347611i | 0.760516 | − | 0.649320i | \(-0.224946\pi\) |
−0.0782908 | + | 0.996931i | \(0.524946\pi\) | |||||||
\(978\) | −3.30167 | − | 0.177235i | −0.105576 | − | 0.00566734i | ||||
\(979\) | 3.16353 | − | 14.8832i | 0.101107 | − | 0.475670i | ||||
\(980\) | 14.2175 | − | 4.31132i | 0.454160 | − | 0.137720i | ||||
\(981\) | −46.2517 | − | 20.7334i | −1.47670 | − | 0.661966i | ||||
\(982\) | −0.566978 | + | 10.8186i | −0.0180930 | + | 0.345235i | ||||
\(983\) | 4.17301 | − | 5.15324i | 0.133098 | − | 0.164363i | −0.706239 | − | 0.707973i | \(-0.749610\pi\) |
0.839338 | + | 0.543610i | \(0.182943\pi\) | |||||||
\(984\) | 8.47951 | − | 1.79113i | 0.270317 | − | 0.0570993i | ||||
\(985\) | 10.4893 | + | 10.9116i | 0.334217 | + | 0.347674i | ||||
\(986\) | 9.13774 | − | 5.27568i | 0.291005 | − | 0.168012i | ||||
\(987\) | 4.40334 | + | 0.703150i | 0.140160 | + | 0.0223815i | ||||
\(988\) | 0.525416 | − | 0.0832177i | 0.0167157 | − | 0.00264751i | ||||
\(989\) | −13.4299 | + | 14.9155i | −0.427047 | + | 0.474284i | ||||
\(990\) | 3.88019 | − | 13.2899i | 0.123320 | − | 0.422381i | ||||
\(991\) | 31.9965 | 1.01640 | 0.508202 | − | 0.861238i | \(-0.330310\pi\) | ||||
0.508202 | + | 0.861238i | \(0.330310\pi\) | |||||||
\(992\) | −0.980628 | − | 5.48073i | −0.0311350 | − | 0.174013i | ||||
\(993\) | 4.15079 | + | 10.8543i | 0.131721 | + | 0.344452i | ||||
\(994\) | 6.40660 | + | 2.08163i | 0.203205 | + | 0.0660253i | ||||
\(995\) | 32.1238 | + | 24.3219i | 1.01839 | + | 0.771057i | ||||
\(996\) | −7.40815 | − | 12.8690i | −0.234736 | − | 0.407769i | ||||
\(997\) | 49.5168 | − | 13.2680i | 1.56821 | − | 0.420201i | 0.632960 | − | 0.774184i | \(-0.281840\pi\) |
0.935252 | + | 0.353983i | \(0.115173\pi\) | |||||||
\(998\) | −1.30939 | + | 4.88671i | −0.0414480 | + | 0.154686i | ||||
\(999\) | 11.0003 | − | 2.29445i | 0.348034 | − | 0.0725932i |
(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 | 930.2.bs.a.107.5 | ✓ | 1024 | |
3.2 | odd | 2 | inner | 930.2.bs.a.107.59 | yes | 1024 | |
5.3 | odd | 4 | inner | 930.2.bs.a.293.19 | yes | 1024 | |
15.8 | even | 4 | inner | 930.2.bs.a.293.53 | yes | 1024 | |
31.20 | even | 15 | inner | 930.2.bs.a.857.53 | yes | 1024 | |
93.20 | odd | 30 | inner | 930.2.bs.a.857.19 | yes | 1024 | |
155.113 | odd | 60 | inner | 930.2.bs.a.113.59 | yes | 1024 | |
465.113 | even | 60 | inner | 930.2.bs.a.113.5 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bs.a.107.5 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
930.2.bs.a.107.59 | yes | 1024 | 3.2 | odd | 2 | inner | |
930.2.bs.a.113.5 | yes | 1024 | 465.113 | even | 60 | inner | |
930.2.bs.a.113.59 | yes | 1024 | 155.113 | odd | 60 | inner | |
930.2.bs.a.293.19 | yes | 1024 | 5.3 | odd | 4 | inner | |
930.2.bs.a.293.53 | yes | 1024 | 15.8 | even | 4 | inner | |
930.2.bs.a.857.19 | yes | 1024 | 93.20 | odd | 30 | inner | |
930.2.bs.a.857.53 | yes | 1024 | 31.20 | even | 15 | inner |