Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(9,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(174))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.i (of order \(87\), degree \(56\), 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: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(1568\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{87})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{87}]$ |
Embedding invariants
Embedding label | 9.16 | ||
Character | \(\chi\) | \(=\) | 349.9 |
Dual form | 349.2.i.a.194.16 |
$q$-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 \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{87}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.200938 | + | 0.101926i | 0.142085 | + | 0.0720729i | 0.521986 | − | 0.852954i | \(-0.325191\pi\) |
−0.379901 | + | 0.925027i | \(0.624042\pi\) | |||||||
\(3\) | −1.14709 | + | 0.433214i | −0.662275 | + | 0.250116i | −0.661570 | − | 0.749884i | \(-0.730110\pi\) |
−0.000705114 | 1.00000i | \(0.500224\pi\) | ||||||||
\(4\) | −1.15142 | − | 1.57282i | −0.575709 | − | 0.786408i | ||||
\(5\) | 0.757667 | − | 0.195703i | 0.338839 | − | 0.0875210i | −0.0768107 | − | 0.997046i | \(-0.524474\pi\) |
0.415650 | + | 0.909525i | \(0.363554\pi\) | |||||||
\(6\) | −0.274651 | − | 0.0298701i | −0.112126 | − | 0.0121944i | ||||
\(7\) | 2.54552 | + | 0.0919592i | 0.962115 | + | 0.0347573i | 0.512702 | − | 0.858567i | \(-0.328645\pi\) |
0.449413 | + | 0.893324i | \(0.351633\pi\) | |||||||
\(8\) | −0.143955 | − | 0.878084i | −0.0508956 | − | 0.310450i | ||||
\(9\) | −1.12290 | + | 0.989249i | −0.374300 | + | 0.329750i | ||||
\(10\) | 0.172191 | + | 0.0379022i | 0.0544517 | + | 0.0119857i | ||||
\(11\) | −3.99825 | − | 1.84979i | −1.20552 | − | 0.557732i | −0.288847 | − | 0.957375i | \(-0.593272\pi\) |
−0.916671 | + | 0.399643i | \(0.869134\pi\) | |||||||
\(12\) | 2.00215 | + | 1.30536i | 0.577971 | + | 0.376824i | ||||
\(13\) | −0.104074 | − | 5.76359i | −0.0288648 | − | 1.59853i | −0.615138 | − | 0.788419i | \(-0.710900\pi\) |
0.586274 | − | 0.810113i | \(-0.300594\pi\) | |||||||
\(14\) | 0.502118 | + | 0.277933i | 0.134197 | + | 0.0742808i | ||||
\(15\) | −0.784335 | + | 0.552722i | −0.202514 | + | 0.142712i | ||||
\(16\) | −1.11731 | + | 3.52516i | −0.279328 | + | 0.881289i | ||||
\(17\) | 0.997959 | − | 6.08728i | 0.242041 | − | 1.47638i | −0.533884 | − | 0.845558i | \(-0.679268\pi\) |
0.775925 | − | 0.630825i | \(-0.217284\pi\) | |||||||
\(18\) | −0.326464 | + | 0.0843244i | −0.0769482 | + | 0.0198755i | ||||
\(19\) | 4.29103 | + | 1.27528i | 0.984431 | + | 0.292569i | 0.736670 | − | 0.676253i | \(-0.236397\pi\) |
0.247761 | + | 0.968821i | \(0.420305\pi\) | |||||||
\(20\) | −1.18020 | − | 0.966336i | −0.263900 | − | 0.216079i | ||||
\(21\) | −2.95978 | + | 0.997267i | −0.645878 | + | 0.217622i | ||||
\(22\) | −0.614858 | − | 0.779220i | −0.131088 | − | 0.166130i | ||||
\(23\) | −0.118272 | − | 6.54989i | −0.0246614 | − | 1.36575i | −0.742645 | − | 0.669686i | \(-0.766429\pi\) |
0.717983 | − | 0.696060i | \(-0.245065\pi\) | |||||||
\(24\) | 0.545528 | + | 0.944882i | 0.111355 | + | 0.192873i | ||||
\(25\) | −3.83880 | + | 2.12486i | −0.767759 | + | 0.424972i | ||||
\(26\) | 0.566550 | − | 1.16873i | 0.111110 | − | 0.229207i | ||||
\(27\) | 2.58256 | − | 4.87123i | 0.497015 | − | 0.937469i | ||||
\(28\) | −2.78632 | − | 4.10951i | −0.526565 | − | 0.776625i | ||||
\(29\) | 0.396903 | − | 0.258772i | 0.0737030 | − | 0.0480527i | −0.508772 | − | 0.860901i | \(-0.669900\pi\) |
0.582475 | + | 0.812849i | \(0.302084\pi\) | |||||||
\(30\) | −0.213939 | + | 0.0311184i | −0.0390598 | + | 0.00568141i | ||||
\(31\) | −1.48795 | − | 2.19456i | −0.267244 | − | 0.394155i | 0.670262 | − | 0.742124i | \(-0.266182\pi\) |
−0.937506 | + | 0.347969i | \(0.886871\pi\) | |||||||
\(32\) | −1.83078 | + | 1.86414i | −0.323639 | + | 0.329536i | ||||
\(33\) | 5.38772 | + | 0.389782i | 0.937882 | + | 0.0678523i | ||||
\(34\) | 0.820983 | − | 1.12145i | 0.140797 | − | 0.192327i | ||||
\(35\) | 1.94665 | − | 0.428490i | 0.329044 | − | 0.0724281i | ||||
\(36\) | 2.84883 | + | 0.627076i | 0.474806 | + | 0.104513i | ||||
\(37\) | −1.09391 | + | 0.658182i | −0.179837 | + | 0.108204i | −0.602626 | − | 0.798024i | \(-0.705879\pi\) |
0.422789 | + | 0.906228i | \(0.361051\pi\) | |||||||
\(38\) | 0.732247 | + | 0.693621i | 0.118786 | + | 0.112520i | ||||
\(39\) | 2.61625 | + | 6.56629i | 0.418935 | + | 1.05145i | ||||
\(40\) | −0.280913 | − | 0.637124i | −0.0444163 | − | 0.100738i | ||||
\(41\) | −1.06084 | − | 6.47084i | −0.165675 | − | 1.01058i | −0.930488 | − | 0.366322i | \(-0.880617\pi\) |
0.764813 | − | 0.644253i | \(-0.222832\pi\) | |||||||
\(42\) | −0.696381 | − | 0.101291i | −0.107454 | − | 0.0156296i | ||||
\(43\) | 0.745092 | + | 8.23109i | 0.113625 | + | 1.25523i | 0.830099 | + | 0.557615i | \(0.188284\pi\) |
−0.716474 | + | 0.697614i | \(0.754245\pi\) | |||||||
\(44\) | 1.69428 | + | 8.41839i | 0.255423 | + | 1.26912i | ||||
\(45\) | −0.657186 | + | 0.969276i | −0.0979674 | + | 0.144491i | ||||
\(46\) | 0.643841 | − | 1.32818i | 0.0949292 | − | 0.195829i | ||||
\(47\) | 8.62111 | + | 6.55360i | 1.25752 | + | 0.955941i | 0.999947 | − | 0.0103185i | \(-0.00328453\pi\) |
0.257572 | + | 0.966259i | \(0.417078\pi\) | |||||||
\(48\) | −0.245486 | − | 4.52772i | −0.0354328 | − | 0.653520i | ||||
\(49\) | −0.510556 | − | 0.0369369i | −0.0729366 | − | 0.00527670i | ||||
\(50\) | −0.987939 | + | 0.0356903i | −0.139716 | + | 0.00504736i | ||||
\(51\) | 1.49234 | + | 7.41501i | 0.208970 | + | 1.03831i | ||||
\(52\) | −8.94524 | + | 6.79999i | −1.24048 | + | 0.942989i | ||||
\(53\) | 2.09457 | + | 2.46592i | 0.287711 | + | 0.338720i | 0.886963 | − | 0.461841i | \(-0.152811\pi\) |
−0.599251 | + | 0.800561i | \(0.704535\pi\) | |||||||
\(54\) | 1.01544 | − | 0.715584i | 0.138184 | − | 0.0973786i | ||||
\(55\) | −3.39135 | − | 0.619055i | −0.457290 | − | 0.0834733i | ||||
\(56\) | −0.285691 | − | 2.24842i | −0.0381770 | − | 0.300457i | ||||
\(57\) | −5.47469 | + | 0.396074i | −0.725140 | + | 0.0524612i | ||||
\(58\) | 0.106129 | − | 0.0115422i | 0.0139354 | − | 0.00151556i | ||||
\(59\) | 1.92122 | − | 0.725574i | 0.250122 | − | 0.0944616i | −0.225074 | − | 0.974342i | \(-0.572262\pi\) |
0.475196 | + | 0.879880i | \(0.342377\pi\) | |||||||
\(60\) | 1.77243 | + | 0.597200i | 0.228819 | + | 0.0770982i | ||||
\(61\) | −0.556562 | + | 10.2652i | −0.0712605 | + | 1.31432i | 0.716173 | + | 0.697923i | \(0.245892\pi\) |
−0.787433 | + | 0.616400i | \(0.788591\pi\) | |||||||
\(62\) | −0.0753017 | − | 0.592632i | −0.00956333 | − | 0.0752644i | ||||
\(63\) | −2.94933 | + | 2.41489i | −0.371581 | + | 0.304247i | ||||
\(64\) | 6.45094 | − | 2.17357i | 0.806367 | − | 0.271697i | ||||
\(65\) | −1.20680 | − | 4.34652i | −0.149686 | − | 0.539119i | ||||
\(66\) | 1.04287 | + | 0.627473i | 0.128368 | + | 0.0772366i | ||||
\(67\) | 3.77519 | + | 3.57605i | 0.461213 | + | 0.436884i | 0.882690 | − | 0.469955i | \(-0.155730\pi\) |
−0.421478 | + | 0.906839i | \(0.638488\pi\) | |||||||
\(68\) | −10.7232 | + | 5.43940i | −1.30038 | + | 0.659624i | ||||
\(69\) | 2.97317 | + | 7.46210i | 0.357928 | + | 0.898331i | ||||
\(70\) | 0.434831 | + | 0.112315i | 0.0519722 | + | 0.0134242i | ||||
\(71\) | −7.45760 | − | 2.81645i | −0.885054 | − | 0.334251i | −0.131249 | − | 0.991349i | \(-0.541899\pi\) |
−0.753805 | + | 0.657098i | \(0.771784\pi\) | |||||||
\(72\) | 1.03029 | + | 0.843593i | 0.121421 | + | 0.0994184i | ||||
\(73\) | 1.58569 | − | 2.53086i | 0.185591 | − | 0.296214i | −0.741571 | − | 0.670875i | \(-0.765919\pi\) |
0.927162 | + | 0.374660i | \(0.122241\pi\) | |||||||
\(74\) | −0.286893 | + | 0.0207557i | −0.0333507 | + | 0.00241280i | ||||
\(75\) | 3.48294 | − | 4.10043i | 0.402175 | − | 0.473477i | ||||
\(76\) | −2.93500 | − | 8.21739i | −0.336667 | − | 0.942599i | ||||
\(77\) | −10.0075 | − | 5.07634i | −1.14046 | − | 0.578503i | ||||
\(78\) | −0.143575 | + | 1.58608i | −0.0162567 | + | 0.179588i | ||||
\(79\) | 2.99738 | − | 3.52879i | 0.337232 | − | 0.397020i | −0.567241 | − | 0.823552i | \(-0.691989\pi\) |
0.904472 | + | 0.426532i | \(0.140265\pi\) | |||||||
\(80\) | −0.156667 | + | 2.88956i | −0.0175159 | + | 0.323062i | ||||
\(81\) | −0.286256 | + | 2.25287i | −0.0318063 | + | 0.250319i | ||||
\(82\) | 0.446386 | − | 1.40836i | 0.0492951 | − | 0.155528i | ||||
\(83\) | 8.47905 | + | 8.63354i | 0.930697 | + | 0.947654i | 0.998748 | − | 0.0500275i | \(-0.0159309\pi\) |
−0.0680509 | + | 0.997682i | \(0.521678\pi\) | |||||||
\(84\) | 4.97647 | + | 3.50693i | 0.542977 | + | 0.382637i | ||||
\(85\) | −0.435178 | − | 4.80744i | −0.0472016 | − | 0.521440i | ||||
\(86\) | −0.689248 | + | 1.72988i | −0.0743235 | + | 0.186538i | ||||
\(87\) | −0.343181 | + | 0.468779i | −0.0367929 | + | 0.0502584i | ||||
\(88\) | −1.04870 | + | 3.77709i | −0.111792 | + | 0.402639i | ||||
\(89\) | −2.08202 | + | 2.63858i | −0.220693 | + | 0.279688i | −0.882828 | − | 0.469696i | \(-0.844363\pi\) |
0.662135 | + | 0.749385i | \(0.269651\pi\) | |||||||
\(90\) | −0.230848 | + | 0.127780i | −0.0243336 | + | 0.0134692i | ||||
\(91\) | 0.265094 | − | 14.6809i | 0.0277894 | − | 1.53897i | ||||
\(92\) | −10.1656 | + | 7.72768i | −1.05984 | + | 0.805666i | ||||
\(93\) | 2.65753 | + | 1.87277i | 0.275573 | + | 0.194197i | ||||
\(94\) | 1.06432 | + | 2.19559i | 0.109777 | + | 0.226457i | ||||
\(95\) | 3.50075 | + | 0.126468i | 0.359170 | + | 0.0129753i | ||||
\(96\) | 1.29251 | − | 2.93146i | 0.131916 | − | 0.299191i | ||||
\(97\) | −14.2088 | − | 3.67008i | −1.44268 | − | 0.372640i | −0.554520 | − | 0.832170i | \(-0.687098\pi\) |
−0.888162 | + | 0.459530i | \(0.848018\pi\) | |||||||
\(98\) | −0.0988253 | − | 0.0594612i | −0.00998286 | − | 0.00600649i | ||||
\(99\) | 6.31953 | − | 1.87814i | 0.635137 | − | 0.188760i | ||||
\(100\) | 7.76208 | + | 3.59112i | 0.776208 | + | 0.359112i | ||||
\(101\) | 10.9885 | − | 10.4089i | 1.09340 | − | 1.03572i | 0.0942043 | − | 0.995553i | \(-0.469969\pi\) |
0.999193 | − | 0.0401680i | \(-0.0127893\pi\) | |||||||
\(102\) | −0.455918 | + | 1.64207i | −0.0451426 | + | 0.162589i | ||||
\(103\) | 0.431627 | + | 7.96090i | 0.0425295 | + | 0.784411i | 0.939548 | + | 0.342418i | \(0.111246\pi\) |
−0.897018 | + | 0.441993i | \(0.854272\pi\) | |||||||
\(104\) | −5.04594 | + | 0.921081i | −0.494795 | + | 0.0903194i | ||||
\(105\) | −2.04736 | + | 1.33484i | −0.199802 | + | 0.130267i | ||||
\(106\) | 0.169536 | + | 0.708989i | 0.0164668 | + | 0.0688631i | ||||
\(107\) | −2.30261 | − | 9.62934i | −0.222602 | − | 0.930904i | −0.965272 | − | 0.261247i | \(-0.915866\pi\) |
0.742671 | − | 0.669657i | \(-0.233559\pi\) | |||||||
\(108\) | −10.6352 | + | 1.54693i | −1.02337 | + | 0.148853i | ||||
\(109\) | 3.97103 | + | 12.5287i | 0.380356 | + | 1.20004i | 0.930914 | + | 0.365238i | \(0.119013\pi\) |
−0.550558 | + | 0.834797i | \(0.685585\pi\) | |||||||
\(110\) | −0.618353 | − | 0.470060i | −0.0589577 | − | 0.0448185i | ||||
\(111\) | 0.969680 | − | 1.22889i | 0.0920379 | − | 0.116641i | ||||
\(112\) | −3.16830 | + | 8.87059i | −0.299377 | + | 0.838192i | ||||
\(113\) | −1.13210 | − | 0.738103i | −0.106499 | − | 0.0694349i | 0.491798 | − | 0.870709i | \(-0.336340\pi\) |
−0.598297 | + | 0.801274i | \(0.704156\pi\) | |||||||
\(114\) | −1.14044 | − | 0.478429i | −0.106812 | − | 0.0448090i | ||||
\(115\) | −1.37144 | − | 4.93949i | −0.127888 | − | 0.460610i | ||||
\(116\) | −0.864002 | − | 0.326301i | −0.0802206 | − | 0.0302963i | ||||
\(117\) | 5.81849 | + | 6.36898i | 0.537919 | + | 0.588812i | ||||
\(118\) | 0.460002 | + | 0.0500282i | 0.0423466 | + | 0.00460547i | ||||
\(119\) | 3.10010 | − | 15.4035i | 0.284186 | − | 1.41204i | ||||
\(120\) | 0.598245 | + | 0.609145i | 0.0546120 | + | 0.0556071i | ||||
\(121\) | 5.44304 | + | 6.40804i | 0.494822 | + | 0.582549i | ||||
\(122\) | −1.15813 | + | 2.00594i | −0.104852 | + | 0.181609i | ||||
\(123\) | 4.02014 | + | 6.96309i | 0.362484 | + | 0.627841i | ||||
\(124\) | −1.73839 | + | 4.86713i | −0.156112 | + | 0.437081i | ||||
\(125\) | −5.33327 | + | 5.05194i | −0.477022 | + | 0.451859i | ||||
\(126\) | −0.838773 | + | 0.184628i | −0.0747238 | + | 0.0164480i | ||||
\(127\) | 11.4993 | − | 5.32012i | 1.02039 | − | 0.472085i | 0.162935 | − | 0.986637i | \(-0.447904\pi\) |
0.857459 | + | 0.514552i | \(0.172042\pi\) | |||||||
\(128\) | 6.68898 | + | 0.972940i | 0.591228 | + | 0.0859965i | ||||
\(129\) | −4.42051 | − | 9.11905i | −0.389205 | − | 0.802887i | ||||
\(130\) | 0.200532 | − | 0.996385i | 0.0175878 | − | 0.0873888i | ||||
\(131\) | 2.08593 | − | 12.7236i | 0.182248 | − | 1.11166i | −0.724276 | − | 0.689510i | \(-0.757826\pi\) |
0.906524 | − | 0.422154i | \(-0.138726\pi\) | |||||||
\(132\) | −5.59047 | − | 8.92270i | −0.486588 | − | 0.776621i | ||||
\(133\) | 10.8056 | + | 3.64084i | 0.936966 | + | 0.315701i | ||||
\(134\) | 0.394085 | + | 1.10336i | 0.0340437 | + | 0.0953154i | ||||
\(135\) | 1.00341 | − | 4.19619i | 0.0863598 | − | 0.361150i | ||||
\(136\) | −5.48881 | −0.470661 | ||||||||
\(137\) | 4.83984 | − | 20.2399i | 0.413495 | − | 1.72921i | −0.238643 | − | 0.971107i | \(-0.576702\pi\) |
0.652138 | − | 0.758100i | \(-0.273872\pi\) | |||||||
\(138\) | −0.163162 | + | 1.80246i | −0.0138893 | + | 0.153436i | ||||
\(139\) | 21.9386 | − | 2.38596i | 1.86080 | − | 0.202375i | 0.892313 | − | 0.451418i | \(-0.149082\pi\) |
0.968492 | + | 0.249043i | \(0.0801161\pi\) | |||||||
\(140\) | −2.91535 | − | 2.56835i | −0.246392 | − | 0.217066i | ||||
\(141\) | −12.7283 | − | 3.78281i | −1.07192 | − | 0.318570i | ||||
\(142\) | −1.21144 | − | 1.32606i | −0.101662 | − | 0.111280i | ||||
\(143\) | −10.2453 | + | 23.2368i | −0.856755 | + | 1.94316i | ||||
\(144\) | −2.23263 | − | 5.06369i | −0.186052 | − | 0.421974i | ||||
\(145\) | 0.250078 | − | 0.273738i | 0.0207679 | − | 0.0227327i | ||||
\(146\) | 0.576587 | − | 0.346921i | 0.0477187 | − | 0.0287114i | ||||
\(147\) | 0.601658 | − | 0.178810i | 0.0496239 | − | 0.0147480i | ||||
\(148\) | 2.29474 | + | 0.962672i | 0.188627 | + | 0.0791311i | ||||
\(149\) | −2.65655 | − | 3.36669i | −0.217633 | − | 0.275810i | 0.664013 | − | 0.747721i | \(-0.268852\pi\) |
−0.881646 | + | 0.471911i | \(0.843564\pi\) | |||||||
\(150\) | 1.11780 | − | 0.468929i | 0.0912678 | − | 0.0382879i | ||||
\(151\) | 14.0949 | + | 2.57287i | 1.14703 | + | 0.209377i | 0.719412 | − | 0.694584i | \(-0.244411\pi\) |
0.427615 | + | 0.903961i | \(0.359354\pi\) | |||||||
\(152\) | 0.502086 | − | 3.95147i | 0.0407246 | − | 0.320507i | ||||
\(153\) | 4.90123 | + | 7.82264i | 0.396241 | + | 0.632423i | ||||
\(154\) | −1.49347 | − | 2.04006i | −0.120348 | − | 0.164393i | ||||
\(155\) | −1.55685 | − | 1.37155i | −0.125049 | − | 0.110166i | ||||
\(156\) | 7.31518 | − | 11.6754i | 0.585683 | − | 0.934783i | ||||
\(157\) | −15.9856 | + | 13.0889i | −1.27579 | + | 1.04461i | −0.279359 | + | 0.960187i | \(0.590122\pi\) |
−0.996430 | + | 0.0844198i | \(0.973096\pi\) | |||||||
\(158\) | 0.961964 | − | 0.403555i | 0.0765297 | − | 0.0321051i | ||||
\(159\) | −3.47094 | − | 1.92124i | −0.275264 | − | 0.152365i | ||||
\(160\) | −1.02231 | + | 1.77069i | −0.0808204 | + | 0.139985i | ||||
\(161\) | 0.301259 | − | 16.6837i | 0.0237426 | − | 1.31486i | ||||
\(162\) | −0.287146 | + | 0.423509i | −0.0225604 | + | 0.0332740i | ||||
\(163\) | 2.79863 | + | 5.27878i | 0.219206 | + | 0.413466i | 0.968588 | − | 0.248672i | \(-0.0799941\pi\) |
−0.749382 | + | 0.662138i | \(0.769649\pi\) | |||||||
\(164\) | −8.95597 | + | 9.11915i | −0.699344 | + | 0.712086i | ||||
\(165\) | 4.15838 | − | 0.759068i | 0.323730 | − | 0.0590933i | ||||
\(166\) | 0.823777 | + | 2.59905i | 0.0639375 | + | 0.201725i | ||||
\(167\) | −6.65022 | + | 12.5436i | −0.514609 | + | 0.970656i | 0.480971 | + | 0.876737i | \(0.340284\pi\) |
−0.995580 | + | 0.0939193i | \(0.970060\pi\) | |||||||
\(168\) | 1.30176 | + | 2.45538i | 0.100433 | + | 0.189437i | ||||
\(169\) | −20.2166 | + | 0.730345i | −1.55512 | + | 0.0561804i | ||||
\(170\) | 0.402561 | − | 1.01035i | 0.0308751 | − | 0.0774905i | ||||
\(171\) | −6.07996 | + | 2.81289i | −0.464946 | + | 0.215107i | ||||
\(172\) | 12.0881 | − | 10.6493i | 0.921708 | − | 0.812003i | ||||
\(173\) | 5.00525 | − | 5.47880i | 0.380542 | − | 0.416546i | −0.518036 | − | 0.855359i | \(-0.673337\pi\) |
0.898578 | + | 0.438813i | \(0.144601\pi\) | |||||||
\(174\) | −0.116739 | + | 0.0592163i | −0.00884997 | + | 0.00448918i | ||||
\(175\) | −9.96712 | + | 5.05585i | −0.753443 | + | 0.382187i | ||||
\(176\) | 10.9881 | − | 12.0277i | 0.828258 | − | 0.906619i | ||||
\(177\) | −1.88950 | + | 1.66460i | −0.142023 | + | 0.125119i | ||||
\(178\) | −0.687297 | + | 0.317977i | −0.0515151 | + | 0.0238334i | ||||
\(179\) | −5.75026 | + | 14.4321i | −0.429794 | + | 1.07870i | 0.541474 | + | 0.840717i | \(0.317866\pi\) |
−0.971269 | + | 0.237985i | \(0.923513\pi\) | |||||||
\(180\) | 2.28119 | − | 0.0824102i | 0.170030 | − | 0.00614249i | ||||
\(181\) | −4.87683 | − | 9.19867i | −0.362492 | − | 0.683732i | 0.633445 | − | 0.773788i | \(-0.281640\pi\) |
−0.995937 | + | 0.0900559i | \(0.971295\pi\) | |||||||
\(182\) | 1.54964 | − | 2.92293i | 0.114867 | − | 0.216662i | ||||
\(183\) | −3.80859 | − | 12.0162i | −0.281539 | − | 0.888266i | ||||
\(184\) | −5.73433 | + | 1.04674i | −0.422740 | + | 0.0771666i | ||||
\(185\) | −0.700009 | + | 0.712763i | −0.0514657 | + | 0.0524034i | ||||
\(186\) | 0.343115 | + | 0.647183i | 0.0251584 | + | 0.0474538i | ||||
\(187\) | −15.2503 | + | 22.4925i | −1.11521 | + | 1.64481i | ||||
\(188\) | 0.381102 | − | 21.1054i | 0.0277947 | − | 1.53927i | ||||
\(189\) | 7.02191 | − | 12.1623i | 0.510769 | − | 0.884678i | ||||
\(190\) | 0.690543 | + | 0.382231i | 0.0500973 | + | 0.0277300i | ||||
\(191\) | −19.5962 | + | 8.22086i | −1.41793 | + | 0.594840i | −0.956342 | − | 0.292251i | \(-0.905596\pi\) |
−0.461593 | + | 0.887092i | \(0.652722\pi\) | |||||||
\(192\) | −6.45821 | + | 5.28793i | −0.466081 | + | 0.381624i | ||||
\(193\) | 13.9200 | − | 22.2171i | 1.00198 | − | 1.59922i | 0.220415 | − | 0.975406i | \(-0.429259\pi\) |
0.781569 | − | 0.623818i | \(-0.214419\pi\) | |||||||
\(194\) | −2.48100 | − | 2.18571i | −0.178126 | − | 0.156925i | ||||
\(195\) | 3.26729 | + | 4.46306i | 0.233976 | + | 0.319606i | ||||
\(196\) | 0.529769 | + | 0.845542i | 0.0378407 | + | 0.0603958i | ||||
\(197\) | 0.0233905 | − | 0.184085i | 0.00166650 | − | 0.0131155i | −0.991169 | − | 0.132605i | \(-0.957666\pi\) |
0.992836 | + | 0.119489i | \(0.0381257\pi\) | |||||||
\(198\) | 1.46127 | + | 0.266738i | 0.103848 | + | 0.0189563i | ||||
\(199\) | 11.1932 | − | 4.69567i | 0.793464 | − | 0.332867i | 0.0475150 | − | 0.998871i | \(-0.484870\pi\) |
0.745949 | + | 0.666003i | \(0.231996\pi\) | |||||||
\(200\) | 2.41842 | + | 3.06490i | 0.171008 | + | 0.216721i | ||||
\(201\) | −5.87969 | − | 2.46660i | −0.414722 | − | 0.173981i | ||||
\(202\) | 3.26895 | − | 0.971517i | 0.230002 | − | 0.0683557i | ||||
\(203\) | 1.03412 | − | 0.622209i | 0.0725809 | − | 0.0436705i | ||||
\(204\) | 9.94415 | − | 10.8850i | 0.696230 | − | 0.762100i | ||||
\(205\) | −2.07013 | − | 4.69514i | −0.144584 | − | 0.327922i | ||||
\(206\) | −0.724696 | + | 1.64364i | −0.0504919 | + | 0.114518i | ||||
\(207\) | 6.61227 | + | 7.23786i | 0.459585 | + | 0.503066i | ||||
\(208\) | 20.4338 | + | 6.07285i | 1.41683 | + | 0.421076i | ||||
\(209\) | −14.7976 | − | 13.0364i | −1.02357 | − | 0.901745i | ||||
\(210\) | −0.547448 | + | 0.0595386i | −0.0377775 | + | 0.00410855i | ||||
\(211\) | 0.657443 | − | 7.26283i | 0.0452603 | − | 0.499994i | −0.941410 | − | 0.337263i | \(-0.890499\pi\) |
0.986671 | − | 0.162730i | \(-0.0520300\pi\) | |||||||
\(212\) | 1.46671 | − | 6.13368i | 0.100734 | − | 0.421263i | ||||
\(213\) | 9.77469 | 0.669751 | ||||||||
\(214\) | 0.518803 | − | 2.16960i | 0.0354646 | − | 0.148311i | ||||
\(215\) | 2.17538 | + | 6.09061i | 0.148360 | + | 0.415376i | ||||
\(216\) | −4.64912 | − | 1.56647i | −0.316333 | − | 0.106585i | ||||
\(217\) | −3.58579 | − | 5.72312i | −0.243419 | − | 0.388511i | ||||
\(218\) | −0.479079 | + | 2.92225i | −0.0324473 | + | 0.197920i | ||||
\(219\) | −0.722537 | + | 3.59007i | −0.0488245 | + | 0.242595i | ||||
\(220\) | 2.93121 | + | 6.04677i | 0.197622 | + | 0.407673i | ||||
\(221\) | −35.1885 | − | 5.11830i | −2.36703 | − | 0.344294i | ||||
\(222\) | 0.320102 | − | 0.148095i | 0.0214838 | − | 0.00993948i | ||||
\(223\) | 17.8580 | − | 3.93084i | 1.19586 | − | 0.263228i | 0.427958 | − | 0.903798i | \(-0.359233\pi\) |
0.767900 | + | 0.640570i | \(0.221302\pi\) | |||||||
\(224\) | −4.83171 | + | 4.57684i | −0.322832 | + | 0.305803i | ||||
\(225\) | 2.20857 | − | 6.18353i | 0.147238 | − | 0.412235i | ||||
\(226\) | −0.152249 | − | 0.263704i | −0.0101275 | − | 0.0175413i | ||||
\(227\) | 1.99266 | − | 3.45138i | 0.132257 | − | 0.229076i | −0.792289 | − | 0.610146i | \(-0.791111\pi\) |
0.924546 | + | 0.381070i | \(0.124444\pi\) | |||||||
\(228\) | 6.92661 | + | 8.15463i | 0.458726 | + | 0.540054i | ||||
\(229\) | 5.64113 | + | 5.74391i | 0.372776 | + | 0.379568i | 0.874145 | − | 0.485666i | \(-0.161423\pi\) |
−0.501368 | + | 0.865234i | \(0.667170\pi\) | |||||||
\(230\) | 0.227890 | − | 1.13232i | 0.0150266 | − | 0.0746628i | ||||
\(231\) | 13.6787 | + | 1.48765i | 0.899992 | + | 0.0978800i | ||||
\(232\) | −0.284359 | − | 0.311263i | −0.0186691 | − | 0.0204354i | ||||
\(233\) | −11.2973 | − | 4.26657i | −0.740112 | − | 0.279512i | −0.0455666 | − | 0.998961i | \(-0.514509\pi\) |
−0.694545 | + | 0.719449i | \(0.744394\pi\) | |||||||
\(234\) | 0.519988 | + | 1.87283i | 0.0339927 | + | 0.122431i | ||||
\(235\) | 7.81450 | + | 3.27827i | 0.509761 | + | 0.213851i | ||||
\(236\) | −3.35333 | − | 2.18629i | −0.218283 | − | 0.142316i | ||||
\(237\) | −1.90956 | + | 5.34636i | −0.124039 | + | 0.347283i | ||||
\(238\) | 2.19295 | − | 2.77917i | 0.142148 | − | 0.180147i | ||||
\(239\) | −5.96892 | − | 4.53746i | −0.386098 | − | 0.293504i | 0.394063 | − | 0.919084i | \(-0.371069\pi\) |
−0.780160 | + | 0.625580i | \(0.784862\pi\) | |||||||
\(240\) | −1.07208 | − | 3.38246i | −0.0692028 | − | 0.218337i | ||||
\(241\) | −10.7699 | + | 1.56652i | −0.693749 | + | 0.100909i | −0.481681 | − | 0.876347i | \(-0.659974\pi\) |
−0.212067 | + | 0.977255i | \(0.568020\pi\) | |||||||
\(242\) | 0.440564 | + | 1.84241i | 0.0283205 | + | 0.118434i | ||||
\(243\) | 3.19916 | + | 13.3787i | 0.205226 | + | 0.858242i | ||||
\(244\) | 16.7861 | − | 10.9442i | 1.07462 | − | 0.700628i | ||||
\(245\) | −0.394061 | + | 0.0719315i | −0.0251756 | + | 0.00459553i | ||||
\(246\) | 0.0980761 | + | 1.80891i | 0.00625310 | + | 0.115332i | ||||
\(247\) | 6.90359 | − | 24.8645i | 0.439265 | − | 1.58209i | ||||
\(248\) | −1.71281 | + | 1.62246i | −0.108764 | + | 0.103026i | ||||
\(249\) | −13.4664 | − | 6.23024i | −0.853401 | − | 0.394825i | ||||
\(250\) | −1.58658 | + | 0.471526i | −0.100344 | + | 0.0298219i | ||||
\(251\) | −9.20506 | − | 5.53850i | −0.581019 | − | 0.349587i | 0.194509 | − | 0.980901i | \(-0.437689\pi\) |
−0.775528 | + | 0.631313i | \(0.782516\pi\) | |||||||
\(252\) | 7.19409 | + | 1.85821i | 0.453185 | + | 0.117056i | ||||
\(253\) | −11.6430 | + | 26.4069i | −0.731990 | + | 1.66019i | ||||
\(254\) | 2.85290 | + | 0.103064i | 0.179007 | + | 0.00646679i | ||||
\(255\) | 2.58184 | + | 5.32606i | 0.161681 | + | 0.333531i | ||||
\(256\) | −9.88394 | − | 6.96523i | −0.617746 | − | 0.435327i | ||||
\(257\) | −7.89672 | + | 6.00293i | −0.492584 | + | 0.374453i | −0.821776 | − | 0.569810i | \(-0.807017\pi\) |
0.329192 | + | 0.944263i | \(0.393224\pi\) | |||||||
\(258\) | 0.0412231 | − | 2.28293i | 0.00256644 | − | 0.142129i | ||||
\(259\) | −2.84508 | + | 1.57482i | −0.176785 | + | 0.0978544i | ||||
\(260\) | −5.44674 | + | 6.90274i | −0.337792 | + | 0.428090i | ||||
\(261\) | −0.189692 | + | 0.683210i | −0.0117417 | + | 0.0422897i | ||||
\(262\) | 1.71601 | − | 2.34404i | 0.106016 | − | 0.144815i | ||||
\(263\) | 1.25118 | − | 3.14022i | 0.0771509 | − | 0.193634i | −0.885342 | − | 0.464940i | \(-0.846076\pi\) |
0.962493 | + | 0.271305i | \(0.0874554\pi\) | |||||||
\(264\) | −0.433326 | − | 4.78698i | −0.0266694 | − | 0.294619i | ||||
\(265\) | 2.06958 | + | 1.45843i | 0.127133 | + | 0.0895909i | ||||
\(266\) | 1.80016 | + | 1.83296i | 0.110375 | + | 0.112386i | ||||
\(267\) | 1.24520 | − | 3.92865i | 0.0762051 | − | 0.240430i | ||||
\(268\) | 1.27765 | − | 10.0552i | 0.0780447 | − | 0.614220i | ||||
\(269\) | 0.0231588 | − | 0.427140i | 0.00141202 | − | 0.0260432i | −0.997742 | − | 0.0671559i | \(-0.978608\pi\) |
0.999155 | + | 0.0411127i | \(0.0130903\pi\) | |||||||
\(270\) | 0.629326 | − | 0.740899i | 0.0382995 | − | 0.0450897i | ||||
\(271\) | −0.166368 | + | 1.83788i | −0.0101061 | + | 0.111643i | −0.999415 | − | 0.0341898i | \(-0.989115\pi\) |
0.989309 | + | 0.145833i | \(0.0465862\pi\) | |||||||
\(272\) | 20.3436 | + | 10.3194i | 1.23351 | + | 0.625703i | ||||
\(273\) | 6.05588 | + | 16.9552i | 0.366518 | + | 1.02618i | ||||
\(274\) | 3.03548 | − | 3.57365i | 0.183380 | − | 0.215892i | ||||
\(275\) | 19.2790 | − | 1.39477i | 1.16257 | − | 0.0841075i | ||||
\(276\) | 8.31315 | − | 13.2683i | 0.500393 | − | 0.798655i | ||||
\(277\) | 14.5372 | + | 11.9029i | 0.873455 | + | 0.715178i | 0.959679 | − | 0.281098i | \(-0.0906985\pi\) |
−0.0862241 | + | 0.996276i | \(0.527480\pi\) | |||||||
\(278\) | 4.65148 | + | 1.75669i | 0.278977 | + | 0.105359i | ||||
\(279\) | 3.84179 | + | 0.992320i | 0.230002 | + | 0.0594086i | ||||
\(280\) | −0.656480 | − | 1.64764i | −0.0392322 | − | 0.0984654i | ||||
\(281\) | 20.3313 | − | 10.3131i | 1.21286 | − | 0.615228i | 0.274735 | − | 0.961520i | \(-0.411410\pi\) |
0.938127 | + | 0.346292i | \(0.112559\pi\) | |||||||
\(282\) | −2.17204 | − | 2.05746i | −0.129343 | − | 0.122520i | ||||
\(283\) | 14.2411 | + | 8.56856i | 0.846543 | + | 0.509348i | 0.871531 | − | 0.490340i | \(-0.163127\pi\) |
−0.0249885 | + | 0.999688i | \(0.507955\pi\) | |||||||
\(284\) | 4.15705 | + | 14.9723i | 0.246676 | + | 0.888445i | ||||
\(285\) | −4.07048 | + | 1.37150i | −0.241114 | + | 0.0812409i | ||||
\(286\) | −4.42711 | + | 3.62488i | −0.261781 | + | 0.214344i | ||||
\(287\) | −2.10533 | − | 16.5692i | −0.124274 | − | 0.978048i | ||||
\(288\) | 0.211687 | − | 3.90434i | 0.0124738 | − | 0.230065i | ||||
\(289\) | −19.9490 | − | 6.72159i | −1.17347 | − | 0.395388i | ||||
\(290\) | 0.0781513 | − | 0.0295148i | 0.00458920 | − | 0.00173317i | ||||
\(291\) | 17.8887 | − | 1.94552i | 1.04866 | − | 0.114048i | ||||
\(292\) | −5.80637 | + | 0.420070i | −0.339792 | + | 0.0245827i | ||||
\(293\) | 1.53262 | + | 12.0619i | 0.0895367 | + | 0.704663i | 0.972116 | + | 0.234500i | \(0.0753451\pi\) |
−0.882580 | + | 0.470163i | \(0.844195\pi\) | |||||||
\(294\) | 0.139121 | + | 0.0253951i | 0.00811372 | + | 0.00148107i | ||||
\(295\) | 1.31365 | − | 0.925733i | 0.0764838 | − | 0.0538982i | ||||
\(296\) | 0.735412 | + | 0.865794i | 0.0427449 | + | 0.0503232i | ||||
\(297\) | −19.3365 | + | 14.6992i | −1.12202 | + | 0.852934i | ||||
\(298\) | −0.190647 | − | 0.947269i | −0.0110439 | − | 0.0548738i | ||||
\(299\) | −37.7386 | + | 1.36334i | −2.18248 | + | 0.0788441i | ||||
\(300\) | −10.4596 | − | 0.756711i | −0.603883 | − | 0.0436887i | ||||
\(301\) | 1.13972 | + | 21.0209i | 0.0656923 | + | 1.21162i | ||||
\(302\) | 2.56996 | + | 1.95363i | 0.147884 | + | 0.112419i | ||||
\(303\) | −8.09558 | + | 16.7003i | −0.465079 | + | 0.959408i | ||||
\(304\) | −9.28997 | + | 13.7017i | −0.532816 | + | 0.785845i | ||||
\(305\) | 1.58724 | + | 7.88652i | 0.0908850 | + | 0.451581i | ||||
\(306\) | 0.187509 | + | 2.07143i | 0.0107192 | + | 0.118416i | ||||
\(307\) | −14.8575 | − | 2.16108i | −0.847962 | − | 0.123339i | −0.293922 | − | 0.955829i | \(-0.594961\pi\) |
−0.554040 | + | 0.832490i | \(0.686915\pi\) | |||||||
\(308\) | 3.53867 | + | 21.5850i | 0.201635 | + | 1.22992i | ||||
\(309\) | −3.94389 | − | 8.94491i | −0.224360 | − | 0.508858i | ||||
\(310\) | −0.173034 | − | 0.434281i | −0.00982764 | − | 0.0246655i | ||||
\(311\) | 17.5311 | + | 16.6064i | 0.994100 | + | 0.941662i | 0.998297 | − | 0.0583297i | \(-0.0185775\pi\) |
−0.00419740 | + | 0.999991i | \(0.501336\pi\) | |||||||
\(312\) | 5.38914 | − | 3.24254i | 0.305100 | − | 0.183572i | ||||
\(313\) | −31.9437 | − | 7.03134i | −1.80557 | − | 0.397435i | −0.820785 | − | 0.571237i | \(-0.806464\pi\) |
−0.984781 | + | 0.173802i | \(0.944395\pi\) | |||||||
\(314\) | −4.54622 | + | 1.00070i | −0.256558 | + | 0.0564726i | ||||
\(315\) | −1.76201 | + | 2.40687i | −0.0992780 | + | 0.135612i | ||||
\(316\) | −9.00137 | − | 0.651217i | −0.506367 | − | 0.0366338i | ||||
\(317\) | −14.0346 | + | 14.2903i | −0.788262 | + | 0.802624i | −0.984026 | − | 0.178027i | \(-0.943029\pi\) |
0.195764 | + | 0.980651i | \(0.437281\pi\) | |||||||
\(318\) | −0.501618 | − | 0.739831i | −0.0281293 | − | 0.0414877i | ||||
\(319\) | −2.06559 | + | 0.300448i | −0.115651 | + | 0.0168219i | ||||
\(320\) | 4.46229 | − | 2.90931i | 0.249450 | − | 0.162636i | ||||
\(321\) | 6.81287 | + | 10.0482i | 0.380258 | + | 0.560838i | ||||
\(322\) | 1.76105 | − | 3.32169i | 0.0981393 | − | 0.185110i | ||||
\(323\) | 12.0452 | − | 24.8481i | 0.670215 | − | 1.38258i | ||||
\(324\) | 3.87295 | − | 2.14376i | 0.215164 | − | 0.119098i | ||||
\(325\) | 12.6463 | + | 21.9041i | 0.701493 | + | 1.21502i | ||||
\(326\) | 0.0243042 | + | 1.34596i | 0.00134608 | + | 0.0745459i | ||||
\(327\) | −9.98277 | − | 12.6513i | −0.552048 | − | 0.699620i | ||||
\(328\) | −5.52923 | + | 1.86301i | −0.305301 | + | 0.102868i | ||||
\(329\) | 21.3425 | + | 17.4751i | 1.17665 | + | 0.963433i | ||||
\(330\) | 0.912946 | + | 0.271324i | 0.0502560 | + | 0.0149359i | ||||
\(331\) | −15.4826 | + | 3.99911i | −0.851003 | + | 0.219811i | −0.650146 | − | 0.759809i | \(-0.725292\pi\) |
−0.200857 | + | 0.979621i | \(0.564373\pi\) | |||||||
\(332\) | 3.81604 | − | 23.2768i | 0.209432 | − | 1.27748i | ||||
\(333\) | 0.577241 | − | 1.82122i | 0.0316326 | − | 0.0998021i | ||||
\(334\) | −2.61481 | + | 1.84266i | −0.143076 | + | 0.100826i | ||||
\(335\) | 3.56018 | + | 1.97064i | 0.194514 | + | 0.107668i | ||||
\(336\) | −0.208523 | − | 11.5480i | −0.0113758 | − | 0.629993i | ||||
\(337\) | 25.2343 | + | 16.4522i | 1.37460 | + | 0.896210i | 0.999526 | − | 0.0307847i | \(-0.00980061\pi\) |
0.375076 | + | 0.926994i | \(0.377617\pi\) | |||||||
\(338\) | −4.13673 | − | 1.91385i | −0.225008 | − | 0.104100i | ||||
\(339\) | 1.61838 | + | 0.356232i | 0.0878984 | + | 0.0193479i | ||||
\(340\) | −7.06015 | + | 6.21983i | −0.382890 | + | 0.337318i | ||||
\(341\) | 1.88972 | + | 11.5268i | 0.102334 | + | 0.624211i | ||||
\(342\) | −1.50840 | − | 0.0544925i | −0.0815651 | − | 0.00294662i | ||||
\(343\) | −19.0219 | − | 2.06876i | −1.02709 | − | 0.111703i | ||||
\(344\) | 7.12033 | − | 1.83916i | 0.383902 | − | 0.0991607i | ||||
\(345\) | 3.71303 | + | 5.07193i | 0.199903 | + | 0.273064i | ||||
\(346\) | 1.56418 | − | 0.590732i | 0.0840908 | − | 0.0317579i | ||||
\(347\) | 20.7549 | + | 10.5280i | 1.11418 | + | 0.565172i | 0.910352 | − | 0.413835i | \(-0.135811\pi\) |
0.203829 | + | 0.979007i | \(0.434661\pi\) | |||||||
\(348\) | 1.13245 | 0.0607057 | ||||||||
\(349\) | 10.4720 | − | 15.4705i | 0.560556 | − | 0.828117i | ||||
\(350\) | −2.51810 | −0.134598 | ||||||||
\(351\) | −28.3446 | − | 14.3779i | −1.51292 | − | 0.767434i | ||||
\(352\) | 10.7682 | − | 4.06673i | 0.573946 | − | 0.216758i | ||||
\(353\) | −9.73137 | − | 13.2929i | −0.517948 | − | 0.707508i | 0.466235 | − | 0.884661i | \(-0.345610\pi\) |
−0.984183 | + | 0.177153i | \(0.943311\pi\) | |||||||
\(354\) | −0.549338 | + | 0.141892i | −0.0291970 | + | 0.00754148i | ||||
\(355\) | −6.20157 | − | 0.674461i | −0.329145 | − | 0.0357967i | ||||
\(356\) | 6.54727 | + | 0.236526i | 0.347005 | + | 0.0125359i | ||||
\(357\) | 3.11690 | + | 19.0123i | 0.164964 | + | 1.00624i | ||||
\(358\) | −2.62645 | + | 2.31384i | −0.138812 | + | 0.122290i | ||||
\(359\) | 8.65543 | + | 1.90520i | 0.456816 | + | 0.100553i | 0.437417 | − | 0.899259i | \(-0.355894\pi\) |
0.0193996 | + | 0.999812i | \(0.493825\pi\) | |||||||
\(360\) | 0.945711 | + | 0.437532i | 0.0498433 | + | 0.0230600i | ||||
\(361\) | 0.870604 | + | 0.567614i | 0.0458213 | + | 0.0298744i | ||||
\(362\) | −0.0423518 | − | 2.34544i | −0.00222596 | − | 0.123274i | ||||
\(363\) | −9.01973 | − | 4.99262i | −0.473413 | − | 0.262045i | ||||
\(364\) | −23.3956 | + | 16.4869i | −1.22626 | + | 0.864148i | ||||
\(365\) | 0.706132 | − | 2.22787i | 0.0369607 | − | 0.116612i | ||||
\(366\) | 0.459482 | − | 2.80272i | 0.0240175 | − | 0.146500i | ||||
\(367\) | 7.94556 | − | 2.05231i | 0.414755 | − | 0.107130i | −0.0369076 | − | 0.999319i | \(-0.511751\pi\) |
0.451662 | + | 0.892189i | \(0.350831\pi\) | |||||||
\(368\) | 23.2215 | + | 6.90134i | 1.21051 | + | 0.359757i | ||||
\(369\) | 7.59249 | + | 6.21667i | 0.395249 | + | 0.323627i | ||||
\(370\) | −0.213308 | + | 0.0718718i | −0.0110893 | + | 0.00373644i | ||||
\(371\) | 5.10500 | + | 6.46965i | 0.265038 | + | 0.335888i | ||||
\(372\) | −0.114412 | − | 6.33615i | −0.00593201 | − | 0.328514i | ||||
\(373\) | 3.43529 | + | 5.95009i | 0.177872 | + | 0.308084i | 0.941152 | − | 0.337985i | \(-0.109745\pi\) |
−0.763279 | + | 0.646069i | \(0.776412\pi\) | |||||||
\(374\) | −5.35693 | + | 2.96518i | −0.277000 | + | 0.153326i | ||||
\(375\) | 3.92919 | − | 8.10550i | 0.202903 | − | 0.418566i | ||||
\(376\) | 4.51356 | − | 8.51348i | 0.232769 | − | 0.439049i | ||||
\(377\) | −1.53276 | − | 2.26065i | −0.0789412 | − | 0.116430i | ||||
\(378\) | 2.65063 | − | 1.72815i | 0.136334 | − | 0.0888865i | ||||
\(379\) | 29.2610 | − | 4.25613i | 1.50304 | − | 0.218623i | 0.657873 | − | 0.753129i | \(-0.271456\pi\) |
0.845165 | + | 0.534506i | \(0.179502\pi\) | |||||||
\(380\) | −3.83192 | − | 5.65166i | −0.196573 | − | 0.289924i | ||||
\(381\) | −10.8860 | + | 11.0843i | −0.557706 | + | 0.567867i | ||||
\(382\) | −4.77555 | − | 0.345494i | −0.244338 | − | 0.0176770i | ||||
\(383\) | −9.46750 | + | 12.9324i | −0.483767 | + | 0.660816i | −0.978022 | − | 0.208500i | \(-0.933142\pi\) |
0.494256 | + | 0.869317i | \(0.335441\pi\) | |||||||
\(384\) | −8.09438 | + | 1.78171i | −0.413065 | + | 0.0909224i | ||||
\(385\) | −8.57582 | − | 1.88768i | −0.437064 | − | 0.0962051i | ||||
\(386\) | 5.06157 | − | 3.04545i | 0.257627 | − | 0.155009i | ||||
\(387\) | −8.97926 | − | 8.50560i | −0.456441 | − | 0.432364i | ||||
\(388\) | 10.5879 | + | 26.5736i | 0.537518 | + | 1.34907i | ||||
\(389\) | 3.97878 | + | 9.02404i | 0.201732 | + | 0.457537i | 0.986815 | − | 0.161854i | \(-0.0517474\pi\) |
−0.785083 | + | 0.619391i | \(0.787380\pi\) | |||||||
\(390\) | 0.201619 | + | 1.22982i | 0.0102094 | + | 0.0622744i | ||||
\(391\) | −39.9890 | − | 5.81657i | −2.02233 | − | 0.294156i | ||||
\(392\) | 0.0410632 | + | 0.453629i | 0.00207401 | + | 0.0229117i | ||||
\(393\) | 3.11928 | + | 15.4988i | 0.157347 | + | 0.781811i | ||||
\(394\) | 0.0234632 | − | 0.0346056i | 0.00118206 | − | 0.00174341i | ||||
\(395\) | 1.58042 | − | 3.26024i | 0.0795197 | − | 0.164041i | ||||
\(396\) | −10.2304 | − | 7.77694i | −0.514097 | − | 0.390806i | ||||
\(397\) | −2.04919 | − | 37.7951i | −0.102846 | − | 1.89688i | −0.363721 | − | 0.931508i | \(-0.618494\pi\) |
0.260875 | − | 0.965373i | \(-0.415989\pi\) | |||||||
\(398\) | 2.72775 | + | 0.197343i | 0.136730 | + | 0.00989189i | ||||
\(399\) | −13.9723 | + | 0.504764i | −0.699491 | + | 0.0252698i | ||||
\(400\) | −3.20133 | − | 15.9065i | −0.160067 | − | 0.795324i | ||||
\(401\) | 23.3138 | − | 17.7227i | 1.16424 | − | 0.885030i | 0.169303 | − | 0.985564i | \(-0.445848\pi\) |
0.994934 | + | 0.100534i | \(0.0320551\pi\) | |||||||
\(402\) | −0.930041 | − | 1.09493i | −0.0463863 | − | 0.0546101i | ||||
\(403\) | −12.4937 | + | 8.80433i | −0.622356 | + | 0.438575i | ||||
\(404\) | −29.0236 | − | 5.29794i | −1.44398 | − | 0.263583i | ||||
\(405\) | 0.224005 | + | 1.76295i | 0.0111309 | + | 0.0876015i | ||||
\(406\) | 0.271213 | − | 0.0196213i | 0.0134601 | − | 0.000973788i | ||||
\(407\) | 5.59121 | − | 0.608080i | 0.277146 | − | 0.0301414i | ||||
\(408\) | 6.29618 | − | 2.37783i | 0.311707 | − | 0.117720i | ||||
\(409\) | 16.9469 | + | 5.71009i | 0.837972 | + | 0.282346i | 0.705384 | − | 0.708825i | \(-0.250775\pi\) |
0.132588 | + | 0.991171i | \(0.457671\pi\) | |||||||
\(410\) | 0.0625914 | − | 1.15443i | 0.00309117 | − | 0.0570133i | ||||
\(411\) | 3.21644 | + | 25.3137i | 0.158655 | + | 1.24863i | ||||
\(412\) | 12.0241 | − | 9.84520i | 0.592383 | − | 0.485038i | ||||
\(413\) | 4.95723 | − | 1.67029i | 0.243929 | − | 0.0821894i | ||||
\(414\) | 0.590927 | + | 2.12833i | 0.0290425 | + | 0.104602i | ||||
\(415\) | 8.11391 | + | 4.88198i | 0.398296 | + | 0.239647i | ||||
\(416\) | 10.9347 | + | 10.3579i | 0.536116 | + | 0.507836i | ||||
\(417\) | −24.1320 | + | 12.2410i | −1.18175 | + | 0.599445i | ||||
\(418\) | −1.64465 | − | 4.12777i | −0.0804427 | − | 0.201896i | ||||
\(419\) | 1.07456 | + | 0.277554i | 0.0524956 | + | 0.0135594i | 0.276245 | − | 0.961087i | \(-0.410910\pi\) |
−0.223749 | + | 0.974647i | \(0.571830\pi\) | |||||||
\(420\) | 4.45682 | + | 1.68317i | 0.217471 | + | 0.0821305i | ||||
\(421\) | −15.5987 | − | 12.7721i | −0.760235 | − | 0.622475i | 0.171679 | − | 0.985153i | \(-0.445081\pi\) |
−0.931914 | + | 0.362678i | \(0.881862\pi\) | |||||||
\(422\) | 0.872379 | − | 1.39237i | 0.0424668 | − | 0.0677793i | ||||
\(423\) | −16.1638 | + | 1.16939i | −0.785910 | + | 0.0568577i | ||||
\(424\) | 1.86376 | − | 2.19419i | 0.0905123 | − | 0.106559i | ||||
\(425\) | 9.10366 | + | 25.4884i | 0.441592 | + | 1.23637i | ||||
\(426\) | 1.96411 | + | 0.996299i | 0.0951612 | + | 0.0482708i | ||||
\(427\) | −2.36072 | + | 26.0790i | −0.114243 | + | 1.26205i | ||||
\(428\) | −12.4939 | + | 14.7090i | −0.603917 | + | 0.710986i | ||||
\(429\) | 1.68582 | − | 31.0932i | 0.0813923 | − | 1.50119i | ||||
\(430\) | −0.183678 | + | 1.44556i | −0.00885774 | + | 0.0697113i | ||||
\(431\) | 1.82746 | − | 5.76570i | 0.0880257 | − | 0.277724i | −0.899082 | − | 0.437780i | \(-0.855765\pi\) |
0.987108 | + | 0.160056i | \(0.0511673\pi\) | |||||||
\(432\) | 14.2863 | + | 14.5466i | 0.687351 | + | 0.699875i | ||||
\(433\) | 18.7472 | + | 13.2111i | 0.900931 | + | 0.634887i | 0.931142 | − | 0.364656i | \(-0.118814\pi\) |
−0.0302116 | + | 0.999544i | \(0.509618\pi\) | |||||||
\(434\) | −0.137184 | − | 1.51548i | −0.00658503 | − | 0.0727453i | ||||
\(435\) | −0.168276 | + | 0.422341i | −0.00806821 | + | 0.0202497i | ||||
\(436\) | 15.1331 | − | 20.6715i | 0.724743 | − | 0.989986i | ||||
\(437\) | 7.84541 | − | 28.2566i | 0.375297 | − | 1.35170i | ||||
\(438\) | −0.511108 | + | 0.647736i | −0.0244217 | + | 0.0309500i | ||||
\(439\) | 24.6519 | − | 13.6454i | 1.17657 | − | 0.651257i | 0.229821 | − | 0.973233i | \(-0.426186\pi\) |
0.946748 | + | 0.321976i | \(0.104347\pi\) | |||||||
\(440\) | −0.0553813 | + | 3.06701i | −0.00264020 | + | 0.146214i | ||||
\(441\) | 0.609843 | − | 0.463591i | 0.0290402 | − | 0.0220758i | ||||
\(442\) | −6.54901 | − | 4.61509i | −0.311504 | − | 0.219518i | ||||
\(443\) | 3.11017 | + | 6.41595i | 0.147769 | + | 0.304831i | 0.960729 | − | 0.277488i | \(-0.0895019\pi\) |
−0.812961 | + | 0.582319i | \(0.802146\pi\) | |||||||
\(444\) | −3.04933 | − | 0.110160i | −0.144715 | − | 0.00522796i | ||||
\(445\) | −1.06110 | + | 2.40662i | −0.0503010 | + | 0.114085i | ||||
\(446\) | 3.98900 | + | 1.03034i | 0.188885 | + | 0.0487882i | ||||
\(447\) | 4.50581 | + | 2.71106i | 0.213118 | + | 0.128229i | ||||
\(448\) | 16.6209 | − | 4.93965i | 0.785261 | − | 0.233376i | ||||
\(449\) | 36.4511 | + | 16.8641i | 1.72023 | + | 0.795864i | 0.994119 | + | 0.108289i | \(0.0345372\pi\) |
0.726113 | + | 0.687575i | \(0.241325\pi\) | |||||||
\(450\) | 1.07405 | − | 1.01739i | 0.0506312 | − | 0.0479604i | ||||
\(451\) | −7.72817 | + | 27.8344i | −0.363905 | + | 1.31067i | ||||
\(452\) | 0.142619 | + | 2.63045i | 0.00670823 | + | 0.123726i | ||||
\(453\) | −17.2828 | + | 3.15478i | −0.812016 | + | 0.148225i | ||||
\(454\) | 0.752187 | − | 0.490409i | 0.0353019 | − | 0.0230160i | ||||
\(455\) | −2.67224 | − | 11.1751i | −0.125276 | − | 0.523897i | ||||
\(456\) | 1.13589 | + | 4.75022i | 0.0531930 | + | 0.222449i | ||||
\(457\) | −3.53838 | + | 0.514672i | −0.165519 | + | 0.0240753i | −0.226194 | − | 0.974082i | \(-0.572628\pi\) |
0.0606758 | + | 0.998158i | \(0.480674\pi\) | |||||||
\(458\) | 0.548060 | + | 1.72915i | 0.0256092 | + | 0.0807978i | ||||
\(459\) | −27.0753 | − | 20.5821i | −1.26377 | − | 0.960689i | ||||
\(460\) | −6.18981 | + | 7.84445i | −0.288601 | + | 0.365749i | ||||
\(461\) | −1.84602 | + | 5.16848i | −0.0859779 | + | 0.240720i | −0.977000 | − | 0.213240i | \(-0.931598\pi\) |
0.891022 | + | 0.453960i | \(0.149989\pi\) | |||||||
\(462\) | 2.59694 | + | 1.69314i | 0.120820 | + | 0.0787722i | ||||
\(463\) | 2.70459 | + | 1.13461i | 0.125693 | + | 0.0527297i | 0.448797 | − | 0.893634i | \(-0.351853\pi\) |
−0.323104 | + | 0.946364i | \(0.604726\pi\) | |||||||
\(464\) | 0.468747 | + | 1.68827i | 0.0217610 | + | 0.0783761i | ||||
\(465\) | 2.38003 | + | 0.898848i | 0.110371 | + | 0.0416831i | ||||
\(466\) | −1.83518 | − | 2.00881i | −0.0850132 | − | 0.0930563i | ||||
\(467\) | 32.0409 | + | 3.48466i | 1.48268 | + | 0.161251i | 0.813376 | − | 0.581739i | \(-0.197627\pi\) |
0.669303 | + | 0.742990i | \(0.266593\pi\) | |||||||
\(468\) | 3.31772 | − | 16.4848i | 0.153362 | − | 0.762009i | ||||
\(469\) | 9.28096 | + | 9.45006i | 0.428555 | + | 0.436363i | ||||
\(470\) | 1.23609 | + | 1.45523i | 0.0570164 | + | 0.0671249i | ||||
\(471\) | 12.6667 | − | 21.9394i | 0.583651 | − | 1.01091i | ||||
\(472\) | −0.913684 | − | 1.58255i | −0.0420557 | − | 0.0728426i | ||||
\(473\) | 12.2467 | − | 34.2882i | 0.563104 | − | 1.57657i | ||||
\(474\) | −0.928637 | + | 0.879652i | −0.0426537 | + | 0.0404037i | ||||
\(475\) | −19.1822 | + | 4.22232i | −0.880139 | + | 0.193733i | ||||
\(476\) | −27.7964 | + | 12.8600i | −1.27405 | + | 0.589437i | ||||
\(477\) | −4.79140 | − | 0.696928i | −0.219383 | − | 0.0319102i | ||||
\(478\) | −0.736896 | − | 1.52014i | −0.0337048 | − | 0.0695295i | ||||
\(479\) | 7.42699 | − | 36.9025i | 0.339348 | − | 1.68612i | −0.330647 | − | 0.943755i | \(-0.607267\pi\) |
0.669995 | − | 0.742366i | \(-0.266296\pi\) | |||||||
\(480\) | 0.405595 | − | 2.47402i | 0.0185128 | − | 0.112923i | ||||
\(481\) | 3.90734 | + | 6.23633i | 0.178159 | + | 0.284352i | ||||
\(482\) | −2.32375 | − | 0.782961i | −0.105844 | − | 0.0356629i | ||||
\(483\) | 6.88205 | + | 19.2683i | 0.313144 | + | 0.876738i | ||||
\(484\) | 3.81146 | − | 15.9392i | 0.173248 | − | 0.724511i | ||||
\(485\) | −11.4838 | −0.521451 | ||||||||
\(486\) | −0.720806 | + | 3.01436i | −0.0326964 | + | 0.136734i | ||||
\(487\) | 2.47435 | − | 27.3343i | 0.112123 | − | 1.23864i | −0.723886 | − | 0.689920i | \(-0.757646\pi\) |
0.836009 | − | 0.548716i | \(-0.184883\pi\) | |||||||
\(488\) | 9.09382 | − | 0.989012i | 0.411658 | − | 0.0447705i | ||||
\(489\) | −5.49714 | − | 4.84285i | −0.248589 | − | 0.219001i | ||||
\(490\) | −0.0865134 | − | 0.0257114i | −0.00390828 | − | 0.00116152i | ||||
\(491\) | −19.1202 | − | 20.9292i | −0.862883 | − | 0.944521i | 0.136050 | − | 0.990702i | \(-0.456559\pi\) |
−0.998933 | + | 0.0461812i | \(0.985295\pi\) | |||||||
\(492\) | 6.32280 | − | 14.3404i | 0.285054 | − | 0.646514i | ||||
\(493\) | −1.17912 | − | 2.67430i | −0.0531051 | − | 0.120445i | ||||
\(494\) | 3.92154 | − | 4.29256i | 0.176438 | − | 0.193131i | ||||
\(495\) | 4.42055 | − | 2.65975i | 0.198689 | − | 0.119547i | ||||
\(496\) | 9.39868 | − | 2.79325i | 0.422013 | − | 0.125420i | ||||
\(497\) | −18.7244 | − | 7.85512i | −0.839906 | − | 0.352350i | ||||
\(498\) | −2.07089 | − | 2.62448i | −0.0927989 | − | 0.117606i | ||||
\(499\) | −17.3999 | + | 7.29947i | −0.778927 | + | 0.326769i | −0.740117 | − | 0.672478i | \(-0.765230\pi\) |
−0.0388095 | + | 0.999247i | \(0.512357\pi\) | |||||||
\(500\) | 14.0866 | + | 2.57136i | 0.629972 | + | 0.114995i | ||||
\(501\) | 2.19434 | − | 17.2697i | 0.0980360 | − | 0.771553i | ||||
\(502\) | −1.28513 | − | 2.05113i | −0.0573580 | − | 0.0915466i | ||||
\(503\) | −13.6859 | − | 18.6946i | −0.610222 | − | 0.833553i | 0.385807 | − | 0.922580i | \(-0.373923\pi\) |
−0.996029 | + | 0.0890270i | \(0.971624\pi\) | |||||||
\(504\) | 2.54504 | + | 2.24213i | 0.113365 | + | 0.0998722i | ||||
\(505\) | 6.28859 | − | 10.0369i | 0.279839 | − | 0.446638i | ||||
\(506\) | −5.03108 | + | 4.11941i | −0.223659 | + | 0.183130i | ||||
\(507\) | 22.8740 | − | 9.59589i | 1.01587 | − | 0.426169i | ||||
\(508\) | −21.6080 | − | 11.9605i | −0.958702 | − | 0.530663i | ||||
\(509\) | 9.69772 | − | 16.7969i | 0.429844 | − | 0.744512i | −0.567015 | − | 0.823707i | \(-0.691902\pi\) |
0.996859 | + | 0.0791958i | \(0.0252352\pi\) | |||||||
\(510\) | −0.0240767 | + | 1.33336i | −0.00106613 | + | 0.0590424i | ||||
\(511\) | 4.26914 | − | 6.29652i | 0.188856 | − | 0.278541i | ||||
\(512\) | −7.60841 | − | 14.3510i | −0.336248 | − | 0.634230i | ||||
\(513\) | 17.2940 | − | 17.6091i | 0.763550 | − | 0.777462i | ||||
\(514\) | −2.19861 | + | 0.401332i | −0.0969765 | + | 0.0177020i | ||||
\(515\) | 1.88500 | + | 5.94724i | 0.0830631 | + | 0.262067i | ||||
\(516\) | −9.25273 | + | 17.4525i | −0.407329 | + | 0.768303i | ||||
\(517\) | −22.3466 | − | 42.1502i | −0.982802 | − | 1.85376i | ||||
\(518\) | −0.732200 | + | 0.0264514i | −0.0321710 | + | 0.00116221i | ||||
\(519\) | −3.36800 | + | 8.45305i | −0.147839 | + | 0.371048i | ||||
\(520\) | −3.64288 | + | 1.68538i | −0.159751 | + | 0.0739087i | ||||
\(521\) | −6.19162 | + | 5.45467i | −0.271260 | + | 0.238973i | −0.785782 | − | 0.618503i | \(-0.787739\pi\) |
0.514523 | + | 0.857477i | \(0.327969\pi\) | |||||||
\(522\) | −0.107754 | + | 0.117948i | −0.00471625 | + | 0.00516245i | ||||
\(523\) | −1.90983 | + | 0.968766i | −0.0835109 | + | 0.0423612i | −0.493640 | − | 0.869666i | \(-0.664334\pi\) |
0.410129 | + | 0.912027i | \(0.365484\pi\) | |||||||
\(524\) | −22.4136 | + | 11.3694i | −0.979144 | + | 0.496674i | ||||
\(525\) | 9.24295 | − | 10.1174i | 0.403396 | − | 0.441561i | ||||
\(526\) | 0.571480 | − | 0.503461i | 0.0249177 | − | 0.0219519i | ||||
\(527\) | −14.8438 | + | 6.86749i | −0.646608 | + | 0.299152i | ||||
\(528\) | −7.39380 | + | 18.5570i | −0.321774 | + | 0.807592i | ||||
\(529\) | −19.9020 | + | 0.718980i | −0.865305 | + | 0.0312600i | ||||
\(530\) | 0.267203 | + | 0.503999i | 0.0116066 | + | 0.0218923i | ||||
\(531\) | −1.43957 | + | 2.71531i | −0.0624719 | + | 0.117835i | ||||
\(532\) | −6.71542 | − | 21.1874i | −0.291150 | − | 0.918590i | ||||
\(533\) | −37.1849 | + | 6.78769i | −1.61066 | + | 0.294008i | ||||
\(534\) | 0.650642 | − | 0.662496i | 0.0281560 | − | 0.0286690i | ||||
\(535\) | −3.62910 | − | 6.84521i | −0.156900 | − | 0.295944i | ||||
\(536\) | 2.59662 | − | 3.82972i | 0.112157 | − | 0.165419i | ||||
\(537\) | 0.343916 | − | 19.0460i | 0.0148411 | − | 0.821896i | ||||
\(538\) | 0.0481903 | − | 0.0834681i | 0.00207763 | − | 0.00359856i | ||||
\(539\) | 1.97301 | + | 1.09210i | 0.0849834 | + | 0.0470402i | ||||
\(540\) | −7.75518 | + | 3.25339i | −0.333730 | + | 0.140004i | ||||
\(541\) | −8.33163 | + | 6.82187i | −0.358205 | + | 0.293295i | −0.795416 | − | 0.606064i | \(-0.792748\pi\) |
0.437212 | + | 0.899359i | \(0.355966\pi\) | |||||||
\(542\) | −0.220758 | + | 0.352342i | −0.00948236 | + | 0.0151344i | ||||
\(543\) | 9.57917 | + | 8.43903i | 0.411082 | + | 0.362153i | ||||
\(544\) | 9.52049 | + | 13.0048i | 0.408188 | + | 0.557577i | ||||
\(545\) | 5.46063 | + | 8.71547i | 0.233908 | + | 0.373330i | ||||
\(546\) | −0.511327 | + | 4.02420i | −0.0218828 | + | 0.172220i | ||||
\(547\) | −9.61185 | − | 1.75454i | −0.410973 | − | 0.0750186i | −0.0298757 | − | 0.999554i | \(-0.509511\pi\) |
−0.381097 | + | 0.924535i | \(0.624454\pi\) | |||||||
\(548\) | −37.4063 | + | 15.6924i | −1.59792 | + | 0.670345i | ||||
\(549\) | −9.52986 | − | 12.0774i | −0.406724 | − | 0.515449i | ||||
\(550\) | 4.01605 | + | 1.68478i | 0.171245 | + | 0.0718392i | ||||
\(551\) | 2.03313 | − | 0.604237i | 0.0866142 | − | 0.0257414i | ||||
\(552\) | 6.12435 | − | 3.68490i | 0.260670 | − | 0.156840i | ||||
\(553\) | 7.95438 | − | 8.70695i | 0.338255 | − | 0.370257i | ||||
\(554\) | 1.70785 | + | 3.87347i | 0.0725595 | + | 0.164568i | ||||
\(555\) | 0.494197 | − | 1.12086i | 0.0209775 | − | 0.0475779i | ||||
\(556\) | −29.0132 | − | 31.7581i | −1.23043 | − | 1.34684i | ||||
\(557\) | −3.54055 | − | 1.05224i | −0.150018 | − | 0.0445847i | 0.208998 | − | 0.977916i | \(-0.432980\pi\) |
−0.359016 | + | 0.933331i | \(0.616888\pi\) | |||||||
\(558\) | 0.670817 | + | 0.590974i | 0.0283979 | + | 0.0250179i | ||||
\(559\) | 47.3631 | − | 5.15105i | 2.00324 | − | 0.217866i | ||||
\(560\) | −0.664520 | + | 7.34101i | −0.0280811 | + | 0.310214i | ||||
\(561\) | 7.74944 | − | 32.4076i | 0.327182 | − | 1.36825i | ||||
\(562\) | 5.13650 | 0.216670 | ||||||||
\(563\) | −7.22427 | + | 30.2114i | −0.304467 | + | 1.27326i | 0.583032 | + | 0.812449i | \(0.301866\pi\) |
−0.887499 | + | 0.460809i | \(0.847559\pi\) | |||||||
\(564\) | 8.70598 | + | 24.3749i | 0.366588 | + | 1.02637i | ||||
\(565\) | −1.00220 | − | 0.337682i | −0.0421630 | − | 0.0142064i | ||||
\(566\) | 1.98821 | + | 3.17329i | 0.0835705 | + | 0.133383i | ||||
\(567\) | −0.935842 | + | 5.70839i | −0.0393017 | + | 0.239730i | ||||
\(568\) | −1.39953 | + | 6.95384i | −0.0587228 | + | 0.291777i | ||||
\(569\) | 5.98375 | + | 12.3438i | 0.250852 | + | 0.517480i | 0.987271 | − | 0.159045i | \(-0.0508414\pi\) |
−0.736420 | + | 0.676525i | \(0.763485\pi\) | |||||||
\(570\) | −0.957706 | − | 0.139302i | −0.0401139 | − | 0.00583473i | ||||
\(571\) | 1.61609 | − | 0.747683i | 0.0676313 | − | 0.0312896i | −0.385782 | − | 0.922590i | \(-0.626068\pi\) |
0.453413 | + | 0.891300i | \(0.350206\pi\) | |||||||
\(572\) | 48.3438 | − | 10.6413i | 2.02136 | − | 0.444934i | ||||
\(573\) | 18.9173 | − | 17.9195i | 0.790284 | − | 0.748596i | ||||
\(574\) | 1.26580 | − | 3.54397i | 0.0528333 | − | 0.147922i | ||||
\(575\) | 14.3716 | + | 24.8924i | 0.599338 | + | 1.03808i | ||||
\(576\) | −5.09355 | + | 8.82229i | −0.212231 | + | 0.367595i | ||||
\(577\) | 11.7396 | + | 13.8209i | 0.488727 | + | 0.575373i | 0.950145 | − | 0.311809i | \(-0.100935\pi\) |
−0.461418 | + | 0.887183i | \(0.652659\pi\) | |||||||
\(578\) | −3.32340 | − | 3.38395i | −0.138235 | − | 0.140754i | ||||
\(579\) | −6.34279 | + | 31.5155i | −0.263598 | + | 1.30974i | ||||
\(580\) | −0.718484 | − | 0.0781399i | −0.0298334 | − | 0.00324458i | ||||
\(581\) | 20.7896 | + | 22.7565i | 0.862499 | + | 0.944101i | ||||
\(582\) | 3.79282 | + | 1.43241i | 0.157218 | + | 0.0593751i | ||||
\(583\) | −3.81319 | − | 13.7339i | −0.157926 | − | 0.568799i | ||||
\(584\) | −2.45057 | − | 1.02804i | −0.101405 | − | 0.0425408i | ||||
\(585\) | 5.65491 | + | 3.68687i | 0.233802 | + | 0.152433i | ||||
\(586\) | −0.921463 | + | 2.57990i | −0.0380653 | + | 0.106575i | ||||
\(587\) | 0.926692 | − | 1.17441i | 0.0382487 | − | 0.0484732i | −0.765539 | − | 0.643390i | \(-0.777528\pi\) |
0.803788 | + | 0.594916i | \(0.202815\pi\) | |||||||
\(588\) | −0.973995 | − | 0.740412i | −0.0401669 | − | 0.0305341i | ||||
\(589\) | −3.58617 | − | 11.3145i | −0.147766 | − | 0.466205i | ||||
\(590\) | 0.358319 | − | 0.0521189i | 0.0147518 | − | 0.00214570i | ||||
\(591\) | 0.0529173 | + | 0.221296i | 0.00217673 | + | 0.00910291i | ||||
\(592\) | −1.09796 | − | 4.59158i | −0.0451258 | − | 0.188713i | ||||
\(593\) | 14.5921 | − | 9.51373i | 0.599226 | − | 0.390682i | −0.210411 | − | 0.977613i | \(-0.567480\pi\) |
0.809637 | + | 0.586931i | \(0.199664\pi\) | |||||||
\(594\) | −5.38367 | + | 0.982730i | −0.220895 | + | 0.0403219i | ||||
\(595\) | −0.665663 | − | 12.2774i | −0.0272895 | − | 0.503326i | ||||
\(596\) | −2.23639 | + | 8.05474i | −0.0916060 | + | 0.329935i | ||||
\(597\) | −10.8054 | + | 10.2354i | −0.442236 | + | 0.418908i | ||||
\(598\) | −7.72207 | − | 3.57261i | −0.315779 | − | 0.146095i | ||||
\(599\) | −5.16073 | + | 1.53375i | −0.210862 | + | 0.0626672i | −0.388583 | − | 0.921414i | \(-0.627035\pi\) |
0.177722 | + | 0.984081i | \(0.443127\pi\) | |||||||
\(600\) | −4.10191 | − | 2.46804i | −0.167460 | − | 0.100757i | ||||
\(601\) | 20.0820 | + | 5.18710i | 0.819161 | + | 0.211586i | 0.636190 | − | 0.771532i | \(-0.280509\pi\) |
0.182970 | + | 0.983118i | \(0.441429\pi\) | |||||||
\(602\) | −1.91357 | + | 4.34006i | −0.0779913 | + | 0.176888i | ||||
\(603\) | −7.77676 | − | 0.280943i | −0.316694 | − | 0.0114409i | ||||
\(604\) | −12.1825 | − | 25.1311i | −0.495698 | − | 1.02257i | ||||
\(605\) | 5.37809 | + | 3.78995i | 0.218650 | + | 0.154083i | ||||
\(606\) | −3.32891 | + | 2.53057i | −0.135228 | + | 0.102798i | ||||
\(607\) | −0.544478 | + | 30.1532i | −0.0220997 | + | 1.22388i | 0.779649 | + | 0.626217i | \(0.215398\pi\) |
−0.801748 | + | 0.597662i | \(0.796097\pi\) | |||||||
\(608\) | −10.2332 | + | 5.66433i | −0.415012 | + | 0.229719i | ||||
\(609\) | −0.916682 | + | 1.16173i | −0.0371458 | + | 0.0470756i | ||||
\(610\) | −0.484908 | + | 1.74648i | −0.0196334 | + | 0.0707130i | ||||
\(611\) | 36.8750 | − | 50.3706i | 1.49180 | − | 2.03778i | ||||
\(612\) | 6.66021 | − | 16.7159i | 0.269223 | − | 0.675699i | ||||
\(613\) | −0.0356948 | − | 0.394323i | −0.00144170 | − | 0.0159266i | 0.995175 | − | 0.0981135i | \(-0.0312808\pi\) |
−0.996617 | + | 0.0821869i | \(0.973810\pi\) | |||||||
\(614\) | −2.76516 | − | 1.94861i | −0.111593 | − | 0.0786397i | ||||
\(615\) | 4.40863 | + | 4.48895i | 0.177773 | + | 0.181012i | ||||
\(616\) | −3.01683 | + | 9.51819i | −0.121551 | + | 0.383499i | ||||
\(617\) | −3.92904 | + | 30.9219i | −0.158177 | + | 1.24487i | 0.693366 | + | 0.720585i | \(0.256127\pi\) |
−0.851543 | + | 0.524284i | \(0.824333\pi\) | |||||||
\(618\) | 0.119246 | − | 2.19936i | 0.00479677 | − | 0.0884712i | ||||
\(619\) | −20.5754 | + | 24.2232i | −0.826994 | + | 0.973613i | −0.999936 | − | 0.0113191i | \(-0.996397\pi\) |
0.172942 | + | 0.984932i | \(0.444673\pi\) | |||||||
\(620\) | −0.364610 | + | 4.02788i | −0.0146431 | + | 0.161763i | ||||
\(621\) | −32.2115 | − | 16.3394i | −1.29260 | − | 0.655676i | ||||
\(622\) | 1.83004 | + | 5.12374i | 0.0733780 | + | 0.205443i | ||||
\(623\) | −5.54245 | + | 6.52508i | −0.222054 | + | 0.261422i | ||||
\(624\) | −26.0704 | + | 1.88610i | −1.04365 | + | 0.0755043i | ||||
\(625\) | 8.59570 | − | 13.7192i | 0.343828 | − | 0.548769i | ||||
\(626\) | −5.70202 | − | 4.66877i | −0.227899 | − | 0.186602i | ||||
\(627\) | 22.6218 | + | 8.54340i | 0.903428 | + | 0.341191i | ||||
\(628\) | 38.9925 | + | 10.0716i | 1.55597 | + | 0.401902i | ||||
\(629\) | 2.91486 | + | 7.31575i | 0.116223 | + | 0.291698i | ||||
\(630\) | −0.599379 | + | 0.304037i | −0.0238798 | + | 0.0121131i | ||||
\(631\) | −9.51134 | − | 9.00962i | −0.378641 | − | 0.358667i | 0.474585 | − | 0.880210i | \(-0.342598\pi\) |
−0.853225 | + | 0.521542i | \(0.825357\pi\) | |||||||
\(632\) | −3.53006 | − | 2.12397i | −0.140418 | − | 0.0844868i | ||||
\(633\) | 2.39221 | + | 8.61596i | 0.0950818 | + | 0.342454i | ||||
\(634\) | −4.27664 | + | 1.44097i | −0.169847 | + | 0.0572282i | ||||
\(635\) | 7.67145 | − | 6.28132i | 0.304432 | − | 0.249267i | ||||
\(636\) | 0.974741 | + | 7.67131i | 0.0386510 | + | 0.304187i | ||||
\(637\) | −0.159754 | + | 2.94648i | −0.00632967 | + | 0.116744i | ||||
\(638\) | −0.445679 | − | 0.150167i | −0.0176446 | − | 0.00594516i | ||||
\(639\) | 11.1603 | − | 4.21482i | 0.441495 | − | 0.166736i | ||||
\(640\) | 5.25843 | − | 0.571889i | 0.207858 | − | 0.0226059i | ||||
\(641\) | −26.0470 | + | 1.88441i | −1.02879 | + | 0.0744295i | −0.576218 | − | 0.817296i | \(-0.695472\pi\) |
−0.452577 | + | 0.891725i | \(0.649495\pi\) | |||||||
\(642\) | 0.344784 | + | 2.71348i | 0.0136075 | + | 0.107093i | ||||
\(643\) | −22.3438 | − | 4.07861i | −0.881153 | − | 0.160845i | −0.280020 | − | 0.959994i | \(-0.590341\pi\) |
−0.601133 | + | 0.799149i | \(0.705284\pi\) | |||||||
\(644\) | −26.5873 | + | 18.7361i | −1.04769 | + | 0.738306i | ||||
\(645\) | −5.13390 | − | 6.04410i | −0.202147 | − | 0.237986i | ||||
\(646\) | 4.95302 | − | 3.76519i | 0.194874 | − | 0.148139i | ||||
\(647\) | 5.37795 | + | 26.7215i | 0.211429 | + | 1.05053i | 0.933464 | + | 0.358672i | \(0.116770\pi\) |
−0.722035 | + | 0.691857i | \(0.756793\pi\) | |||||||
\(648\) | 2.01942 | − | 0.0729533i | 0.0793301 | − | 0.00286588i | ||||
\(649\) | −9.02369 | − | 0.652831i | −0.354211 | − | 0.0256259i | ||||
\(650\) | 0.308522 | + | 5.69036i | 0.0121012 | + | 0.223194i | ||||
\(651\) | 6.59258 | + | 5.01155i | 0.258383 | + | 0.196418i | ||||
\(652\) | 5.08016 | − | 10.4798i | 0.198954 | − | 0.410422i | ||||
\(653\) | −18.8884 | + | 27.8583i | −0.739161 | + | 1.09018i | 0.253272 | + | 0.967395i | \(0.418493\pi\) |
−0.992433 | + | 0.122786i | \(0.960817\pi\) | |||||||
\(654\) | −0.716412 | − | 3.55964i | −0.0280139 | − | 0.139193i | ||||
\(655\) | −0.909604 | − | 10.0485i | −0.0355412 | − | 0.392626i | ||||
\(656\) | 23.9960 | + | 3.49031i | 0.936887 | + | 0.136274i | ||||
\(657\) | 0.723072 | + | 4.41054i | 0.0282097 | + | 0.172072i | ||||
\(658\) | 2.50735 | + | 5.68677i | 0.0977466 | + | 0.221694i | ||||
\(659\) | −1.34695 | − | 3.38058i | −0.0524696 | − | 0.131689i | 0.900406 | − | 0.435052i | \(-0.143270\pi\) |
−0.952875 | + | 0.303363i | \(0.901891\pi\) | |||||||
\(660\) | −5.98191 | − | 5.66637i | −0.232846 | − | 0.220563i | ||||
\(661\) | −0.850676 | + | 0.511835i | −0.0330875 | + | 0.0199081i | −0.532001 | − | 0.846743i | \(-0.678560\pi\) |
0.498914 | + | 0.866651i | \(0.333732\pi\) | |||||||
\(662\) | −3.51866 | − | 0.774517i | −0.136757 | − | 0.0301024i | ||||
\(663\) | 42.5818 | − | 9.37296i | 1.65374 | − | 0.364016i | ||||
\(664\) | 6.36038 | − | 8.68816i | 0.246831 | − | 0.337166i | ||||
\(665\) | 8.89959 | + | 0.643853i | 0.345111 | + | 0.0249675i | ||||
\(666\) | 0.301620 | − | 0.307115i | 0.0116875 | − | 0.0119005i | ||||
\(667\) | −1.74187 | − | 2.56906i | −0.0674454 | − | 0.0994745i | ||||
\(668\) | 27.3860 | − | 3.98341i | 1.05960 | − | 0.154123i | ||||
\(669\) | −18.7819 | + | 12.2454i | −0.726149 | + | 0.473433i | ||||
\(670\) | 0.514515 | + | 0.758853i | 0.0198775 | + | 0.0293171i | ||||
\(671\) | 21.2137 | − | 40.0133i | 0.818945 | − | 1.54469i | ||||
\(672\) | 3.55967 | − | 7.34323i | 0.137317 | − | 0.283271i | ||||
\(673\) | 19.7988 | − | 10.9591i | 0.763187 | − | 0.422441i | −0.0542003 | − | 0.998530i | \(-0.517261\pi\) |
0.817387 | + | 0.576089i | \(0.195422\pi\) | |||||||
\(674\) | 3.39362 | + | 5.87792i | 0.130717 | + | 0.226409i | ||||
\(675\) | 0.436751 | + | 24.1872i | 0.0168106 | + | 0.930968i | ||||
\(676\) | 24.4265 | + | 30.9561i | 0.939480 | + | 1.19062i | ||||
\(677\) | 33.7270 | − | 11.3640i | 1.29623 | − | 0.436752i | 0.415168 | − | 0.909745i | \(-0.363723\pi\) |
0.881067 | + | 0.472992i | \(0.156826\pi\) | |||||||
\(678\) | 0.288884 | + | 0.236536i | 0.0110945 | + | 0.00908412i | ||||
\(679\) | −35.8312 | − | 10.6489i | −1.37507 | − | 0.408666i | ||||
\(680\) | −4.15869 | + | 1.07418i | −0.159479 | + | 0.0411928i | ||||
\(681\) | −0.790577 | + | 4.82230i | −0.0302950 | + | 0.184791i | ||||
\(682\) | −0.795168 | + | 2.50878i | −0.0304486 | + | 0.0960663i | ||||
\(683\) | −15.6282 | + | 11.0132i | −0.597997 | + | 0.421409i | −0.835118 | − | 0.550071i | \(-0.814601\pi\) |
0.237121 | + | 0.971480i | \(0.423796\pi\) | |||||||
\(684\) | 11.4247 | + | 6.32385i | 0.436836 | + | 0.241799i | ||||
\(685\) | −0.294010 | − | 16.2823i | −0.0112335 | − | 0.622113i | ||||
\(686\) | −3.61137 | − | 2.35453i | −0.137883 | − | 0.0898964i | ||||
\(687\) | −8.95925 | − | 4.14499i | −0.341817 | − | 0.158141i | ||||
\(688\) | −29.8484 | − | 6.57012i | −1.13796 | − | 0.250484i | ||||
\(689\) | 13.9946 | − | 12.3289i | 0.533150 | − | 0.469693i | ||||
\(690\) | 0.229125 | + | 1.39760i | 0.00872263 | + | 0.0532057i | ||||
\(691\) | −19.4414 | − | 0.702340i | −0.739586 | − | 0.0267183i | −0.336253 | − | 0.941772i | \(-0.609160\pi\) |
−0.403333 | + | 0.915053i | \(0.632148\pi\) | |||||||
\(692\) | −14.3803 | − | 1.56395i | −0.546657 | − | 0.0594525i | ||||
\(693\) | 16.2592 | − | 4.19969i | 0.617635 | − | 0.159533i | ||||
\(694\) | 3.09736 | + | 4.23094i | 0.117574 | + | 0.160604i | ||||
\(695\) | 16.1552 | − | 6.10121i | 0.612802 | − | 0.231432i | ||||
\(696\) | 0.461030 | + | 0.233859i | 0.0174753 | + | 0.00886441i | ||||
\(697\) | −40.4485 | −1.53210 | ||||||||
\(698\) | 3.68108 | − | 2.04123i | 0.139331 | − | 0.0772618i | ||||
\(699\) | 14.8074 | 0.560068 | ||||||||
\(700\) | 19.4283 | + | 9.85505i | 0.734319 | + | 0.372486i | ||||
\(701\) | −9.21269 | + | 3.47928i | −0.347958 | + | 0.131411i | −0.521122 | − | 0.853482i | \(-0.674486\pi\) |
0.173163 | + | 0.984893i | \(0.444601\pi\) | |||||||
\(702\) | −4.23001 | − | 5.77812i | −0.159651 | − | 0.218081i | ||||
\(703\) | −5.53335 | + | 1.42925i | −0.208694 | + | 0.0539050i | ||||
\(704\) | −29.8131 | − | 3.24237i | −1.12362 | − | 0.122201i | ||||
\(705\) | −10.3842 | − | 0.375138i | −0.391090 | − | 0.0141285i | ||||
\(706\) | −0.600506 | − | 3.66292i | −0.0226003 | − | 0.137856i | ||||
\(707\) | 28.9286 | − | 25.4854i | 1.08797 | − | 0.958479i | ||||
\(708\) | 4.79371 | + | 1.05518i | 0.180159 | + | 0.0396560i | ||||
\(709\) | 25.1548 | + | 11.6379i | 0.944709 | + | 0.437069i | 0.830893 | − | 0.556433i | \(-0.187830\pi\) |
0.113817 | + | 0.993502i | \(0.463692\pi\) | |||||||
\(710\) | −1.17738 | − | 0.767628i | −0.0441864 | − | 0.0288086i | ||||
\(711\) | 0.125093 | + | 6.92763i | 0.00469135 | + | 0.259806i | ||||
\(712\) | 2.61661 | + | 1.44835i | 0.0980615 | + | 0.0542793i | ||||
\(713\) | −14.1981 | + | 10.0055i | −0.531725 | + | 0.374707i | ||||
\(714\) | −1.31155 | + | 4.13798i | −0.0490835 | + | 0.154860i | ||||
\(715\) | −3.21503 | + | 19.6108i | −0.120235 | + | 0.733402i | ||||
\(716\) | 29.3199 | − | 7.57324i | 1.09574 | − | 0.283025i | ||||
\(717\) | 8.81261 | + | 2.61907i | 0.329113 | + | 0.0978109i | ||||
\(718\) | 1.54501 | + | 1.26505i | 0.0576594 | + | 0.0472111i | ||||
\(719\) | −30.0233 | + | 10.1160i | −1.11968 | + | 0.377265i | −0.817467 | − | 0.575975i | \(-0.804622\pi\) |
−0.302215 | + | 0.953240i | \(0.597726\pi\) | |||||||
\(720\) | −2.68257 | − | 3.39966i | −0.0999734 | − | 0.126698i | ||||
\(721\) | 0.366637 | + | 20.3043i | 0.0136543 | + | 0.756171i | ||||
\(722\) | 0.117082 | + | 0.202793i | 0.00435736 | + | 0.00754717i | ||||
\(723\) | 11.6754 | − | 6.46261i | 0.434214 | − | 0.240347i | ||||
\(724\) | −8.85255 | + | 18.2619i | −0.329003 | + | 0.678697i | ||||
\(725\) | −0.973775 | + | 1.83674i | −0.0361651 | + | 0.0682146i | ||||
\(726\) | −1.30353 | − | 1.92256i | −0.0483784 | − | 0.0713527i | ||||
\(727\) | −30.8651 | + | 20.1234i | −1.14472 | + | 0.746334i | −0.971146 | − | 0.238486i | \(-0.923349\pi\) |
−0.173578 | + | 0.984820i | \(0.555533\pi\) | |||||||
\(728\) | −12.9292 | + | 1.88061i | −0.479188 | + | 0.0696999i | ||||
\(729\) | −13.2889 | − | 19.5997i | −0.492181 | − | 0.725913i | ||||
\(730\) | 0.368968 | − | 0.375690i | 0.0136561 | − | 0.0139049i | ||||
\(731\) | 50.8485 | + | 3.67871i | 1.88070 | + | 0.136062i | ||||
\(732\) | −14.5141 | + | 19.8259i | −0.536455 | + | 0.732788i | ||||
\(733\) | 7.17292 | − | 1.57888i | 0.264938 | − | 0.0583172i | −0.0805148 | − | 0.996753i | \(-0.525656\pi\) |
0.345453 | + | 0.938436i | \(0.387725\pi\) | |||||||
\(734\) | 1.80575 | + | 0.397475i | 0.0666514 | + | 0.0146711i | ||||
\(735\) | 0.420863 | − | 0.253225i | 0.0155238 | − | 0.00934034i | ||||
\(736\) | 12.4264 | + | 11.7709i | 0.458044 | + | 0.433882i | ||||
\(737\) | −8.47922 | − | 21.2812i | −0.312336 | − | 0.783904i | ||||
\(738\) | 0.891976 | + | 2.02304i | 0.0328341 | + | 0.0744691i | ||||
\(739\) | 2.35881 | + | 14.3881i | 0.0867702 | + | 0.529275i | 0.994066 | + | 0.108781i | \(0.0346948\pi\) |
−0.907296 | + | 0.420494i | \(0.861857\pi\) | |||||||
\(740\) | 1.92705 | + | 0.280297i | 0.0708398 | + | 0.0103039i | ||||
\(741\) | 2.85258 | + | 31.5126i | 0.104792 | + | 1.15765i | ||||
\(742\) | 0.366360 | + | 1.82033i | 0.0134495 | + | 0.0668265i | ||||
\(743\) | 3.28215 | − | 4.84082i | 0.120411 | − | 0.177592i | −0.762707 | − | 0.646744i | \(-0.776130\pi\) |
0.883117 | + | 0.469152i | \(0.155440\pi\) | |||||||
\(744\) | 1.26188 | − | 2.60313i | 0.0462629 | − | 0.0954354i | ||||
\(745\) | −2.67165 | − | 2.03094i | −0.0978818 | − | 0.0744078i | ||||
\(746\) | 0.0838079 | + | 1.54575i | 0.00306842 | + | 0.0565938i | ||||
\(747\) | −18.0618 | − | 1.30671i | −0.660848 | − | 0.0478100i | ||||
\(748\) | 52.9360 | − | 1.91236i | 1.93553 | − | 0.0699229i | ||||
\(749\) | −4.97582 | − | 24.7234i | −0.181813 | − | 0.903373i | ||||
\(750\) | 1.61569 | − | 1.22821i | 0.0589966 | − | 0.0448480i | ||||
\(751\) | −25.0735 | − | 29.5188i | −0.914944 | − | 1.07715i | −0.996754 | − | 0.0805071i | \(-0.974346\pi\) |
0.0818103 | − | 0.996648i | \(-0.473930\pi\) | |||||||
\(752\) | −32.7349 | + | 23.0684i | −1.19372 | + | 0.841216i | ||||
\(753\) | 12.9584 | + | 2.36542i | 0.472231 | + | 0.0862007i | ||||
\(754\) | −0.0775695 | − | 0.610480i | −0.00282492 | − | 0.0222324i | ||||
\(755\) | 11.1828 | − | 0.809032i | 0.406982 | − | 0.0294437i | ||||
\(756\) | −27.2142 | + | 2.95973i | −0.989772 | + | 0.107644i | ||||
\(757\) | 1.69050 | − | 0.638438i | 0.0614423 | − | 0.0232044i | −0.322394 | − | 0.946605i | \(-0.604488\pi\) |
0.383837 | + | 0.923401i | \(0.374603\pi\) | |||||||
\(758\) | 6.31346 | + | 2.12725i | 0.229315 | + | 0.0772653i | ||||
\(759\) | 1.91581 | − | 35.3351i | 0.0695396 | − | 1.28258i | ||||
\(760\) | −0.392900 | − | 3.09216i | −0.0142520 | − | 0.112164i | ||||
\(761\) | −30.4209 | + | 24.9084i | −1.10275 | + | 0.902927i | −0.995820 | − | 0.0913390i | \(-0.970885\pi\) |
−0.106935 | + | 0.994266i | \(0.534104\pi\) | |||||||
\(762\) | −3.31719 | + | 1.11769i | −0.120169 | + | 0.0404897i | ||||
\(763\) | 8.95619 | + | 32.2573i | 0.324236 | + | 1.16779i | ||||
\(764\) | 35.4934 | + | 21.3557i | 1.28411 | + | 0.772621i | ||||
\(765\) | 5.24441 | + | 4.96777i | 0.189612 | + | 0.179610i | ||||
\(766\) | −3.22054 | + | 1.63363i | −0.116363 | + | 0.0590254i | ||||
\(767\) | −4.38186 | − | 10.9976i | −0.158220 | − | 0.397102i | ||||
\(768\) | 14.3552 | + | 3.70791i | 0.518000 | + | 0.133798i | ||||
\(769\) | −28.6430 | − | 10.8174i | −1.03289 | − | 0.390085i | −0.221857 | − | 0.975079i | \(-0.571212\pi\) |
−0.811038 | + | 0.584994i | \(0.801097\pi\) | |||||||
\(770\) | −1.53080 | − | 1.25341i | −0.0551663 | − | 0.0451697i | ||||
\(771\) | 6.45773 | − | 10.3069i | 0.232569 | − | 0.371194i | ||||
\(772\) | −50.9712 | + | 3.68758i | −1.83450 | + | 0.132719i | ||||
\(773\) | 3.53416 | − | 4.16074i | 0.127115 | − | 0.149651i | −0.694923 | − | 0.719084i | \(-0.744561\pi\) |
0.822038 | + | 0.569433i | \(0.192837\pi\) | |||||||
\(774\) | −0.937327 | − | 2.62432i | −0.0336915 | − | 0.0943293i | ||||
\(775\) | 10.3751 | + | 5.26279i | 0.372684 | + | 0.189045i | ||||
\(776\) | −1.17722 | + | 13.0048i | −0.0422597 | + | 0.466846i | ||||
\(777\) | 2.58134 | − | 3.03899i | 0.0926052 | − | 0.109023i | ||||
\(778\) | −0.120301 | + | 2.21881i | −0.00431299 | + | 0.0795483i | ||||
\(779\) | 3.70001 | − | 29.1195i | 0.132567 | − | 1.04331i | ||||
\(780\) | 3.25755 | − | 10.2777i | 0.116639 | − | 0.368001i | ||||
\(781\) | 24.6075 | + | 25.0558i | 0.880525 | + | 0.896569i | ||||
\(782\) | −7.44245 | − | 5.24471i | −0.266142 | − | 0.187550i | ||||
\(783\) | −0.235510 | − | 2.60170i | −0.00841645 | − | 0.0929772i | ||||
\(784\) | 0.700659 | − | 1.75852i | 0.0250235 | − | 0.0628043i | ||||
\(785\) | −9.55024 | + | 13.0454i | −0.340863 | + | 0.465612i | ||||
\(786\) | −0.952955 | + | 3.43223i | −0.0339908 | + | 0.122424i | ||||
\(787\) | −18.8685 | + | 23.9124i | −0.672591 | + | 0.852386i | −0.995570 | − | 0.0940202i | \(-0.970028\pi\) |
0.322979 | + | 0.946406i | \(0.395316\pi\) | |||||||
\(788\) | −0.316465 | + | 0.175170i | −0.0112736 | + | 0.00624018i | ||||
\(789\) | −0.0748313 | + | 4.14415i | −0.00266407 | + | 0.147536i | ||||
\(790\) | 0.649872 | − | 0.494020i | 0.0231214 | − | 0.0175764i | ||||
\(791\) | −2.81390 | − | 1.98296i | −0.100051 | − | 0.0705059i | ||||
\(792\) | −2.55889 | − | 5.27871i | −0.0909261 | − | 0.187571i | ||||
\(793\) | 59.2223 | + | 2.13946i | 2.10304 | + | 0.0759745i | ||||
\(794\) | 3.44056 | − | 7.80333i | 0.122101 | − | 0.276930i | ||||
\(795\) | −3.00581 | − | 0.776391i | −0.106605 | − | 0.0275357i | ||||
\(796\) | −20.2735 | − | 12.1981i | −0.718574 | − | 0.432352i | ||||
\(797\) | 8.93740 | − | 2.65616i | 0.316579 | − | 0.0940859i | −0.122680 | − | 0.992446i | \(-0.539149\pi\) |
0.439259 | + | 0.898360i | \(0.355241\pi\) | |||||||
\(798\) | −2.85902 | − | 1.32272i | −0.101208 | − | 0.0468239i | ||||
\(799\) | 48.4971 | − | 45.9389i | 1.71571 | − | 1.62520i | ||||
\(800\) | 3.06696 | − | 11.0462i | 0.108434 | − | 0.390542i | ||||
\(801\) | −0.272311 | − | 5.02249i | −0.00962165 | − | 0.177461i | ||||
\(802\) | 6.49104 | − | 1.18487i | 0.229207 | − | 0.0418392i | ||||
\(803\) | −11.0215 | + | 7.18580i | −0.388942 | + | 0.253581i | ||||
\(804\) | 2.89048 | + | 12.0878i | 0.101939 | + | 0.426303i | ||||
\(805\) | −3.03680 | − | 12.6997i | −0.107033 | − | 0.447604i | ||||
\(806\) | −3.40785 | + | 0.495686i | −0.120036 | + | 0.0174598i | ||||
\(807\) | 0.158478 | + | 0.500002i | 0.00557867 | + | 0.0176009i | ||||
\(808\) | −10.7217 | − | 8.15043i | −0.377188 | − | 0.286731i | ||||
\(809\) | −13.1217 | + | 16.6293i | −0.461334 | + | 0.584657i | −0.959246 | − | 0.282571i | \(-0.908813\pi\) |
0.497912 | + | 0.867227i | \(0.334100\pi\) | |||||||
\(810\) | −0.134680 | + | 0.377075i | −0.00473216 | + | 0.0132491i | ||||
\(811\) | 16.6359 | + | 10.8463i | 0.584167 | + | 0.380864i | 0.803960 | − | 0.594683i | \(-0.202722\pi\) |
−0.219794 | + | 0.975546i | \(0.570538\pi\) | |||||||
\(812\) | −2.16932 | − | 0.910057i | −0.0761284 | − | 0.0319367i | ||||
\(813\) | −0.605355 | − | 2.18029i | −0.0212307 | − | 0.0764661i | ||||
\(814\) | 1.18546 | + | 0.447705i | 0.0415505 | + | 0.0156921i | ||||
\(815\) | 3.15351 | + | 3.45186i | 0.110463 | + | 0.120913i | ||||
\(816\) | −27.8065 | − | 3.02414i | −0.973422 | − | 0.105866i | ||||
\(817\) | −7.29970 | + | 36.2701i | −0.255384 | + | 1.26893i | ||||
\(818\) | 2.82327 | + | 2.87471i | 0.0987135 | + | 0.100512i | ||||
\(819\) | 14.2254 | + | 16.7474i | 0.497075 | + | 0.585201i | ||||
\(820\) | −5.00101 | + | 8.66199i | −0.174643 | + | 0.302490i | ||||
\(821\) | −15.4745 | − | 26.8026i | −0.540064 | − | 0.935417i | −0.998900 | − | 0.0468966i | \(-0.985067\pi\) |
0.458836 | − | 0.888521i | \(-0.348266\pi\) | |||||||
\(822\) | −1.93383 | + | 5.41432i | −0.0674501 | + | 0.188846i | ||||
\(823\) | −4.84171 | + | 4.58631i | −0.168771 | + | 0.159869i | −0.767424 | − | 0.641140i | \(-0.778462\pi\) |
0.598652 | + | 0.801009i | \(0.295703\pi\) | |||||||
\(824\) | 6.92821 | − | 1.52501i | 0.241355 | − | 0.0531264i | ||||
\(825\) | −21.5106 | + | 9.95186i | −0.748903 | + | 0.346479i | ||||
\(826\) | 1.16634 | + | 0.169649i | 0.0405822 | + | 0.00590284i | ||||
\(827\) | 15.7841 | + | 32.5609i | 0.548866 | + | 1.13225i | 0.973880 | + | 0.227065i | \(0.0729129\pi\) |
−0.425014 | + | 0.905187i | \(0.639731\pi\) | |||||||
\(828\) | 3.77034 | − | 18.7337i | 0.131028 | − | 0.651041i | ||||
\(829\) | −1.75745 | + | 10.7200i | −0.0610387 | + | 0.372320i | 0.938589 | + | 0.345037i | \(0.112134\pi\) |
−0.999628 | + | 0.0272827i | \(0.991315\pi\) | |||||||
\(830\) | 1.13279 | + | 1.80800i | 0.0393197 | + | 0.0627565i | ||||
\(831\) | −21.8320 | − | 7.35607i | −0.757345 | − | 0.255179i | ||||
\(832\) | −13.1990 | − | 36.9544i | −0.457592 | − | 1.28116i | ||||
\(833\) | −0.734360 | + | 3.07104i | −0.0254441 | + | 0.106405i | ||||
\(834\) | −6.09671 | −0.211112 | ||||||||
\(835\) | −2.58383 | + | 10.8054i | −0.0894170 | + | 0.373935i | ||||
\(836\) | −3.46556 | + | 38.2843i | −0.119859 | + | 1.32409i | ||||
\(837\) | −14.5329 | + | 1.58055i | −0.502332 | + | 0.0546319i | ||||
\(838\) | 0.187629 | + | 0.165297i | 0.00648154 | + | 0.00571009i | ||||
\(839\) | −22.0801 | − | 6.56211i | −0.762289 | − | 0.226549i | −0.119752 | − | 0.992804i | \(-0.538210\pi\) |
−0.642537 | + | 0.766255i | \(0.722118\pi\) | |||||||
\(840\) | 1.46683 | + | 1.60560i | 0.0506103 | + | 0.0553985i | ||||
\(841\) | −11.6091 | + | 26.3298i | −0.400312 | + | 0.907925i | ||||
\(842\) | −1.83256 | − | 4.15632i | −0.0631542 | − | 0.143236i | ||||
\(843\) | −18.8541 | + | 20.6379i | −0.649370 | + | 0.710807i | ||||
\(844\) | −12.1801 | + | 7.32852i | −0.419256 | + | 0.252258i | ||||
\(845\) | −15.1745 | + | 4.50981i | −0.522020 | + | 0.155142i | ||||
\(846\) | −3.36711 | − | 1.41254i | −0.115764 | − | 0.0485642i | ||||
\(847\) | 13.2661 | + | 16.8123i | 0.455827 | + | 0.577678i | ||||
\(848\) | −11.0330 | + | 4.62849i | −0.378876 | + | 0.158943i | ||||
\(849\) | −20.0478 | − | 3.65952i | −0.688040 | − | 0.125594i | ||||
\(850\) | −0.768666 | + | 6.04948i | −0.0263650 | + | 0.207496i | ||||
\(851\) | 4.44039 | + | 7.08712i | 0.152215 | + | 0.242943i | ||||
\(852\) | −11.2548 | − | 15.3738i | −0.385582 | − | 0.526698i | ||||
\(853\) | −3.30495 | − | 2.91158i | −0.113159 | − | 0.0996907i | 0.602579 | − | 0.798059i | \(-0.294140\pi\) |
−0.715739 | + | 0.698368i | \(0.753910\pi\) | |||||||
\(854\) | −3.13250 | + | 4.99964i | −0.107192 | + | 0.171084i | ||||
\(855\) | −4.05610 | + | 3.32110i | −0.138716 | + | 0.113579i | ||||
\(856\) | −8.12390 | + | 3.40807i | −0.277669 | + | 0.116486i | ||||
\(857\) | 27.3631 | + | 15.1461i | 0.934706 | + | 0.517381i | 0.876754 | − | 0.480938i | \(-0.159704\pi\) |
0.0579517 | + | 0.998319i | \(0.481543\pi\) | |||||||
\(858\) | 3.50796 | − | 6.07597i | 0.119760 | − | 0.207430i | ||||
\(859\) | −0.184994 | + | 10.2450i | −0.00631193 | + | 0.349554i | 0.981287 | + | 0.192553i | \(0.0616768\pi\) |
−0.987598 | + | 0.157001i | \(0.949817\pi\) | |||||||
\(860\) | 7.07464 | − | 10.4343i | 0.241243 | − | 0.355807i | ||||
\(861\) | 9.59302 | + | 18.0943i | 0.326929 | + | 0.616654i | ||||
\(862\) | 0.954883 | − | 0.972281i | 0.0325235 | − | 0.0331160i | ||||
\(863\) | 7.05493 | − | 1.28780i | 0.240153 | − | 0.0438373i | −0.0581528 | − | 0.998308i | \(-0.518521\pi\) |
0.298306 | + | 0.954470i | \(0.403579\pi\) | |||||||
\(864\) | 4.35254 | + | 13.7324i | 0.148076 | + | 0.467186i | ||||
\(865\) | 2.72010 | − | 5.13065i | 0.0924862 | − | 0.174447i | ||||
\(866\) | 2.42045 | + | 4.56545i | 0.0822502 | + | 0.155140i | ||||
\(867\) | 25.7952 | − | 0.931878i | 0.876052 | − | 0.0316482i | ||||
\(868\) | −4.87268 | + | 12.2295i | −0.165390 | + | 0.415096i | ||||
\(869\) | −18.5118 | + | 8.56446i | −0.627969 | + | 0.290529i | ||||
\(870\) | −0.0768607 | + | 0.0677125i | −0.00260582 | + | 0.00229567i | ||||
\(871\) | 20.2180 | − | 22.1308i | 0.685060 | − | 0.749874i | ||||
\(872\) | 10.4296 | − | 5.29047i | 0.353192 | − | 0.179158i | ||||
\(873\) | 19.5856 | − | 9.93488i | 0.662873 | − | 0.336245i | ||||
\(874\) | 4.45654 | − | 4.87817i | 0.150745 | − | 0.165007i | ||||
\(875\) | −14.0405 | + | 12.3694i | −0.474656 | + | 0.418161i | ||||
\(876\) | 6.47847 | − | 2.99726i | 0.218887 | − | 0.101268i | ||||
\(877\) | −4.60757 | + | 11.5641i | −0.155587 | + | 0.390493i | −0.986020 | − | 0.166624i | \(-0.946713\pi\) |
0.830434 | + | 0.557117i | \(0.188093\pi\) | |||||||
\(878\) | 6.34431 | − | 0.229194i | 0.214110 | − | 0.00773494i | ||||
\(879\) | −6.98344 | − | 13.1722i | −0.235545 | − | 0.444286i | ||||
\(880\) | 5.97146 | − | 11.2634i | 0.201298 | − | 0.379688i | ||||
\(881\) | 3.11625 | + | 9.83188i | 0.104989 | + | 0.331244i | 0.991260 | − | 0.131923i | \(-0.0421152\pi\) |
−0.886271 | + | 0.463167i | \(0.846713\pi\) | |||||||
\(882\) | 0.169793 | − | 0.0309938i | 0.00571722 | − | 0.00104362i | ||||
\(883\) | 35.4881 | − | 36.1347i | 1.19427 | − | 1.21603i | 0.223844 | − | 0.974625i | \(-0.428139\pi\) |
0.970425 | − | 0.241404i | \(-0.0776079\pi\) | |||||||
\(884\) | 32.4665 | + | 61.2383i | 1.09197 | + | 2.05967i | ||||
\(885\) | −1.10584 | + | 1.63099i | −0.0371725 | + | 0.0548253i | ||||
\(886\) | −0.0290036 | + | 1.60621i | −0.000974394 | + | 0.0539618i | ||||
\(887\) | −0.0133911 | + | 0.0231941i | −0.000449629 | + | 0.000778781i | −0.866250 | − | 0.499611i | \(-0.833476\pi\) |
0.865801 | + | 0.500389i | \(0.166810\pi\) | |||||||
\(888\) | −1.21866 | − | 0.674556i | −0.0408956 | − | 0.0226366i | ||||
\(889\) | 29.7608 | − | 12.4850i | 0.998145 | − | 0.418733i | ||||
\(890\) | −0.458513 | + | 0.375427i | −0.0153694 | + | 0.0125843i | ||||
\(891\) | 5.31185 | − | 8.47801i | 0.177954 | − | 0.284024i | ||||
\(892\) | −26.7445 | − | 23.5613i | −0.895471 | − | 0.788890i | ||||
\(893\) | 28.6358 | + | 39.1160i | 0.958261 | + | 1.30897i | ||||
\(894\) | 0.629060 | + | 1.00402i | 0.0210389 | + | 0.0335793i | ||||
\(895\) | −1.53239 | + | 12.0600i | −0.0512221 | + | 0.403123i | ||||
\(896\) | 16.9374 | + | 3.09175i | 0.565840 | + | 0.103288i | ||||
\(897\) | 42.6990 | − | 17.9128i | 1.42568 | − | 0.598089i | ||||
\(898\) | 5.60551 | + | 7.10396i | 0.187058 | + | 0.237062i | ||||
\(899\) | −1.15846 | − | 0.485989i | −0.0386369 | − | 0.0162086i | ||||
\(900\) | −12.2685 | + | 3.64616i | −0.408951 | + | 0.121539i | ||||
\(901\) | 17.1010 | − | 10.2894i | 0.569718 | − | 0.342788i | ||||
\(902\) | −4.38994 | + | 4.80527i | −0.146169 | + | 0.159998i | ||||
\(903\) | −10.4139 | − | 23.6192i | −0.346553 | − | 0.785998i | ||||
\(904\) | −0.485146 | + | 1.10033i | −0.0161357 | + | 0.0365965i | ||||
\(905\) | −5.49522 | − | 6.01512i | −0.182667 | − | 0.199949i | ||||
\(906\) | −3.79432 | − | 1.12766i | −0.126058 | − | 0.0374639i | ||||
\(907\) | 30.4276 | + | 26.8061i | 1.01033 | + | 0.890081i | 0.993955 | − | 0.109785i | \(-0.0350163\pi\) |
0.0163781 | + | 0.999866i | \(0.494786\pi\) | |||||||
\(908\) | −7.72277 | + | 0.839902i | −0.256289 | + | 0.0278731i | ||||
\(909\) | −2.04203 | + | 22.5585i | −0.0677299 | + | 0.748217i | ||||
\(910\) | 0.602085 | − | 2.51787i | 0.0199589 | − | 0.0834667i | ||||
\(911\) | −25.0611 | −0.830310 | −0.415155 | − | 0.909751i | \(-0.636273\pi\) | ||||
−0.415155 | + | 0.909751i | \(0.636273\pi\) | |||||||
\(912\) | 4.72071 | − | 19.7417i | 0.156318 | − | 0.653712i | ||||
\(913\) | −17.9312 | − | 50.2035i | −0.593435 | − | 1.66149i | ||||
\(914\) | −0.763454 | − | 0.257238i | −0.0252528 | − | 0.00850866i | ||||
\(915\) | −5.23726 | − | 8.35897i | −0.173139 | − | 0.276339i | ||||
\(916\) | 2.53882 | − | 15.4861i | 0.0838849 | − | 0.511675i | ||||
\(917\) | 6.47981 | − | 32.1963i | 0.213982 | − | 1.06321i | ||||
\(918\) | −3.34259 | − | 6.89541i | −0.110322 | − | 0.227582i | ||||
\(919\) | −11.6024 | − | 1.68761i | −0.382727 | − | 0.0556692i | −0.0501413 | − | 0.998742i | \(-0.515967\pi\) |
−0.332586 | + | 0.943073i | \(0.607921\pi\) | |||||||
\(920\) | −4.13986 | + | 1.91530i | −0.136487 | + | 0.0631457i | ||||
\(921\) | 17.9791 | − | 3.95751i | 0.592433 | − | 0.130404i | ||||
\(922\) | −0.897741 | + | 0.850385i | −0.0295655 | + | 0.0280059i | ||||
\(923\) | −15.4567 | + | 43.2756i | −0.508765 | + | 1.42444i | ||||
\(924\) | −13.4101 | − | 23.2270i | −0.441160 | − | 0.764111i | ||||
\(925\) | 2.80074 | − | 4.85102i | 0.0920877 | − | 0.159501i | ||||
\(926\) | 0.427808 | + | 0.503655i | 0.0140587 | + | 0.0165511i | ||||
\(927\) | −8.35998 | − | 8.51230i | −0.274578 | − | 0.279581i | ||||
\(928\) | −0.244256 | + | 1.21364i | −0.00801810 | + | 0.0398396i | ||||
\(929\) | 42.5537 | + | 4.62799i | 1.39614 | + | 0.151839i | 0.775050 | − | 0.631900i | \(-0.217725\pi\) |
0.621090 | + | 0.783739i | \(0.286690\pi\) | |||||||
\(930\) | 0.386622 | + | 0.423201i | 0.0126778 | + | 0.0138773i | ||||
\(931\) | −2.14371 | − | 0.809598i | −0.0702573 | − | 0.0265335i | ||||
\(932\) | 6.29741 | + | 22.6812i | 0.206278 | + | 0.742948i | ||||
\(933\) | −27.3040 | − | 11.4543i | −0.893892 | − | 0.374998i | ||||
\(934\) | 6.08306 | + | 3.96602i | 0.199044 | + | 0.129772i | ||||
\(935\) | −7.15279 | + | 20.0263i | −0.233921 | + | 0.654931i | ||||
\(936\) | 4.75490 | − | 6.02597i | 0.155419 | − | 0.196965i | ||||
\(937\) | −28.7607 | − | 21.8633i | −0.939571 | − | 0.714243i | 0.0187837 | − | 0.999824i | \(-0.494021\pi\) |
−0.958355 | + | 0.285580i | \(0.907814\pi\) | |||||||
\(938\) | 0.901686 | + | 2.84485i | 0.0294411 | + | 0.0928876i | ||||
\(939\) | 39.6885 | − | 5.77285i | 1.29519 | − | 0.188390i | ||||
\(940\) | −3.84163 | − | 16.0654i | −0.125300 | − | 0.523997i | ||||
\(941\) | −5.49123 | − | 22.9639i | −0.179009 | − | 0.748602i | −0.987174 | − | 0.159646i | \(-0.948965\pi\) |
0.808165 | − | 0.588956i | \(-0.200461\pi\) | |||||||
\(942\) | 4.78142 | − | 3.11738i | 0.155787 | − | 0.101570i | ||||
\(943\) | −42.2578 | + | 7.71370i | −1.37610 | + | 0.251193i | ||||
\(944\) | 0.411155 | + | 7.58330i | 0.0133819 | + | 0.246816i | ||||
\(945\) | 2.94008 | − | 10.5892i | 0.0956406 | − | 0.344466i | ||||
\(946\) | 5.95570 | − | 5.64154i | 0.193637 | − | 0.183422i | ||||
\(947\) | −32.7328 | − | 15.1438i | −1.06367 | − | 0.492107i | −0.191594 | − | 0.981474i | \(-0.561366\pi\) |
−0.872078 | + | 0.489367i | \(0.837228\pi\) | |||||||
\(948\) | 10.6075 | − | 3.15251i | 0.344517 | − | 0.102389i | ||||
\(949\) | −14.7518 | − | 8.87589i | −0.478865 | − | 0.288124i | ||||
\(950\) | −4.28479 | − | 1.10675i | −0.139017 | − | 0.0359076i | ||||
\(951\) | 9.90824 | − | 22.4723i | 0.321297 | − | 0.728715i | ||||
\(952\) | −13.9718 | − | 0.504746i | −0.452830 | − | 0.0163589i | ||||
\(953\) | −9.10540 | − | 18.7835i | −0.294953 | − | 0.608456i | 0.699382 | − | 0.714748i | \(-0.253459\pi\) |
−0.994335 | + | 0.106292i | \(0.966102\pi\) | |||||||
\(954\) | −0.891739 | − | 0.628410i | −0.0288711 | − | 0.0203455i | ||||
\(955\) | −13.2386 | + | 10.0637i | −0.428391 | + | 0.325654i | ||||
\(956\) | −0.263860 | + | 14.6125i | −0.00853384 | + | 0.472603i | ||||
\(957\) | 2.23927 | − | 1.23948i | 0.0723852 | − | 0.0400669i | ||||
\(958\) | 5.25371 | − | 6.65811i | 0.169740 | − | 0.215114i | ||||
\(959\) | 14.1811 | − | 51.0758i | 0.457933 | − | 1.64932i | ||||
\(960\) | −3.85831 | + | 5.27038i | −0.124527 | + | 0.170101i | ||||
\(961\) | 8.87218 | − | 22.2675i | 0.286199 | − | 0.718306i | ||||
\(962\) | 0.149485 | + | 1.65138i | 0.00481960 | + | 0.0532425i | ||||
\(963\) | 12.1114 | + | 8.53493i | 0.390285 | + | 0.275034i | ||||
\(964\) | 14.8645 | + | 15.1353i | 0.478753 | + | 0.487476i | ||||
\(965\) | 6.19879 | − | 19.5574i | 0.199546 | − | 0.629575i | ||||
\(966\) | −0.581085 | + | 4.57319i | −0.0186961 | + | 0.147140i | ||||
\(967\) | −0.757439 | + | 13.9701i | −0.0243576 | + | 0.449249i | 0.960761 | + | 0.277376i | \(0.0894647\pi\) |
−0.985119 | + | 0.171873i | \(0.945018\pi\) | |||||||
\(968\) | 4.84325 | − | 5.70191i | 0.155668 | − | 0.183266i | ||||
\(969\) | −3.05250 | + | 33.7212i | −0.0980605 | + | 1.08328i | ||||
\(970\) | −2.30752 | − | 1.17050i | −0.0740902 | − | 0.0375825i | ||||
\(971\) | −3.85373 | − | 10.7896i | −0.123672 | − | 0.346256i | 0.863847 | − | 0.503754i | \(-0.168048\pi\) |
−0.987519 | + | 0.157498i | \(0.949657\pi\) | |||||||
\(972\) | 17.3586 | − | 20.4361i | 0.556778 | − | 0.655489i | ||||
\(973\) | 56.0644 | − | 4.05605i | 1.79734 | − | 0.130031i | ||||
\(974\) | 3.28328 | − | 5.24030i | 0.105203 | − | 0.167910i | ||||
\(975\) | −23.9957 | − | 19.6475i | −0.768478 | − | 0.629223i | ||||
\(976\) | −35.5645 | − | 13.4314i | −1.13839 | − | 0.429928i | ||||
\(977\) | −20.1141 | − | 5.19541i | −0.643508 | − | 0.166216i | −0.0858783 | − | 0.996306i | \(-0.527370\pi\) |
−0.557630 | + | 0.830090i | \(0.688289\pi\) | |||||||
\(978\) | −0.610969 | − | 1.53342i | −0.0195366 | − | 0.0490332i | ||||
\(979\) | 13.2052 | − | 6.69840i | 0.422041 | − | 0.214082i | ||||
\(980\) | 0.566864 | + | 0.536962i | 0.0181078 | + | 0.0171526i | ||||
\(981\) | −16.8531 | − | 10.1402i | −0.538078 | − | 0.323751i | ||||
\(982\) | −1.70874 | − | 6.15432i | −0.0545280 | − | 0.196392i | ||||
\(983\) | −29.6792 | + | 10.0001i | −0.946621 | + | 0.318954i | −0.749934 | − | 0.661513i | \(-0.769915\pi\) |
−0.196687 | + | 0.980466i | \(0.563018\pi\) | |||||||
\(984\) | 5.53546 | − | 4.53239i | 0.176464 | − | 0.144487i | ||||
\(985\) | −0.0183038 | − | 0.144053i | −0.000583209 | − | 0.00458991i | ||||
\(986\) | 0.0356515 | − | 0.657553i | 0.00113537 | − | 0.0209408i | ||||
\(987\) | −32.0523 | − | 10.7997i | −1.02024 | − | 0.343758i | ||||
\(988\) | −47.0562 | + | 17.7713i | −1.49706 | + | 0.565382i | ||||
\(989\) | 53.8246 | − | 5.85378i | 1.71152 | − | 0.186139i | ||||
\(990\) | 1.15935 | − | 0.0838751i | 0.0368467 | − | 0.00266572i | ||||
\(991\) | −0.353808 | − | 2.78450i | −0.0112391 | − | 0.0884527i | 0.985418 | − | 0.170151i | \(-0.0544255\pi\) |
−0.996657 | + | 0.0816980i | \(0.973966\pi\) | |||||||
\(992\) | 6.81508 | + | 1.24402i | 0.216379 | + | 0.0394976i | ||||
\(993\) | 16.0276 | − | 11.2947i | 0.508620 | − | 0.358425i | ||||
\(994\) | −2.96180 | − | 3.48691i | −0.0939427 | − | 0.110598i | ||||
\(995\) | 7.56176 | − | 5.74830i | 0.239724 | − | 0.182233i | ||||
\(996\) | 5.70649 | + | 28.3539i | 0.180817 | + | 0.898426i | ||||
\(997\) | −1.54861 | + | 0.0559449i | −0.0490449 | + | 0.00177179i | −0.0606140 | − | 0.998161i | \(-0.519306\pi\) |
0.0115691 | + | 0.999933i | \(0.496317\pi\) | |||||||
\(998\) | −4.24031 | − | 0.306771i | −0.134225 | − | 0.00971066i | ||||
\(999\) | 0.381072 | + | 7.02847i | 0.0120566 | + | 0.222371i |
(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 | 349.2.i.a.9.16 | ✓ | 1568 | |
349.194 | even | 87 | inner | 349.2.i.a.194.16 | yes | 1568 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.i.a.9.16 | ✓ | 1568 | 1.1 | even | 1 | trivial | |
349.2.i.a.194.16 | yes | 1568 | 349.194 | even | 87 | inner |