Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [122,2,Mod(15,122)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(122, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("122.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 122 = 2 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 122.i (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.974174904660\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(-0.333129i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 122.25 |
Dual form | 122.2.i.a.83.1 |
$q$-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 \(\left(\mathbb{Z}/122\mathbb{Z}\right)^\times\).
\(n\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{11}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.669131 | + | 0.743145i | −0.473147 | + | 0.525483i | ||||
\(3\) | −0.247563 | − | 0.761920i | −0.142930 | − | 0.439895i | 0.853809 | − | 0.520587i | \(-0.174287\pi\) |
−0.996739 | + | 0.0806923i | \(0.974287\pi\) | |||||||
\(4\) | −0.104528 | − | 0.994522i | −0.0522642 | − | 0.497261i | ||||
\(5\) | 1.61830 | + | 0.720515i | 0.723727 | + | 0.322224i | 0.735330 | − | 0.677709i | \(-0.237027\pi\) |
−0.0116036 | + | 0.999933i | \(0.503694\pi\) | |||||||
\(6\) | 0.731869 | + | 0.325849i | 0.298784 | + | 0.133027i | ||||
\(7\) | 0.428042 | − | 0.0909831i | 0.161785 | − | 0.0343884i | −0.126307 | − | 0.991991i | \(-0.540313\pi\) |
0.288092 | + | 0.957603i | \(0.406979\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 1.90782 | − | 1.38611i | 0.635939 | − | 0.462036i | ||||
\(10\) | −1.61830 | + | 0.720515i | −0.511752 | + | 0.227847i | ||||
\(11\) | 2.54891 | 0.768524 | 0.384262 | − | 0.923224i | \(-0.374456\pi\) | ||||
0.384262 | + | 0.923224i | \(0.374456\pi\) | |||||||
\(12\) | −0.731869 | + | 0.325849i | −0.211272 | + | 0.0940645i | ||||
\(13\) | 0.937990 | + | 1.62465i | 0.260152 | + | 0.450596i | 0.966282 | − | 0.257486i | \(-0.0828942\pi\) |
−0.706131 | + | 0.708082i | \(0.749561\pi\) | |||||||
\(14\) | −0.218802 | + | 0.378976i | −0.0584773 | + | 0.101286i | ||||
\(15\) | 0.148343 | − | 1.41139i | 0.0383020 | − | 0.364419i | ||||
\(16\) | −0.978148 | + | 0.207912i | −0.244537 | + | 0.0519779i | ||||
\(17\) | 0.306331 | + | 2.91455i | 0.0742962 | + | 0.706881i | 0.966747 | + | 0.255736i | \(0.0823178\pi\) |
−0.892450 | + | 0.451145i | \(0.851016\pi\) | |||||||
\(18\) | −0.246498 | + | 2.34527i | −0.0581001 | + | 0.552786i | ||||
\(19\) | −8.11525 | − | 1.72495i | −1.86177 | − | 0.395731i | −0.867035 | − | 0.498248i | \(-0.833977\pi\) |
−0.994731 | + | 0.102517i | \(0.967310\pi\) | |||||||
\(20\) | 0.547409 | − | 1.68475i | 0.122404 | − | 0.376722i | ||||
\(21\) | −0.175289 | − | 0.303610i | −0.0382512 | − | 0.0662530i | ||||
\(22\) | −1.70555 | + | 1.89421i | −0.363625 | + | 0.403846i | ||||
\(23\) | −0.194999 | + | 0.141675i | −0.0406601 | + | 0.0295413i | −0.607930 | − | 0.793991i | \(-0.708000\pi\) |
0.567270 | + | 0.823532i | \(0.308000\pi\) | |||||||
\(24\) | 0.247563 | − | 0.761920i | 0.0505336 | − | 0.155526i | ||||
\(25\) | −1.24589 | − | 1.38370i | −0.249178 | − | 0.276741i | ||||
\(26\) | −1.83498 | − | 0.390038i | −0.359870 | − | 0.0764927i | ||||
\(27\) | −3.47279 | − | 2.52313i | −0.668339 | − | 0.485577i | ||||
\(28\) | −0.135227 | − | 0.416186i | −0.0255555 | − | 0.0786519i | ||||
\(29\) | 1.37411 | − | 2.38003i | 0.255166 | − | 0.441960i | −0.709775 | − | 0.704429i | \(-0.751203\pi\) |
0.964941 | + | 0.262469i | \(0.0845366\pi\) | |||||||
\(30\) | 0.949606 | + | 1.05464i | 0.173374 | + | 0.192551i | ||||
\(31\) | −2.62628 | − | 2.91677i | −0.471693 | − | 0.523868i | 0.459606 | − | 0.888123i | \(-0.347990\pi\) |
−0.931299 | + | 0.364255i | \(0.881324\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.631014 | − | 1.94206i | −0.109845 | − | 0.338070i | ||||
\(34\) | −2.37091 | − | 1.72256i | −0.406607 | − | 0.295417i | ||||
\(35\) | 0.758255 | + | 0.161172i | 0.128169 | + | 0.0272431i | ||||
\(36\) | −1.57794 | − | 1.75248i | −0.262990 | − | 0.292079i | ||||
\(37\) | −1.47193 | + | 4.53013i | −0.241983 | + | 0.744748i | 0.754135 | + | 0.656720i | \(0.228057\pi\) |
−0.996118 | + | 0.0880284i | \(0.971943\pi\) | |||||||
\(38\) | 6.71205 | − | 4.87659i | 1.08884 | − | 0.791087i | ||||
\(39\) | 1.00564 | − | 1.11688i | 0.161031 | − | 0.178843i | ||||
\(40\) | 0.885726 | + | 1.53412i | 0.140046 | + | 0.242566i | ||||
\(41\) | −1.06120 | + | 3.26603i | −0.165731 | + | 0.510068i | −0.999089 | − | 0.0426651i | \(-0.986415\pi\) |
0.833358 | + | 0.552733i | \(0.186415\pi\) | |||||||
\(42\) | 0.342917 | + | 0.0728893i | 0.0529133 | + | 0.0112471i | ||||
\(43\) | −0.575123 | + | 5.47193i | −0.0877054 | + | 0.834461i | 0.858917 | + | 0.512116i | \(0.171138\pi\) |
−0.946622 | + | 0.322346i | \(0.895529\pi\) | |||||||
\(44\) | −0.266433 | − | 2.53494i | −0.0401663 | − | 0.382157i | ||||
\(45\) | 4.08614 | − | 0.868535i | 0.609125 | − | 0.129474i | ||||
\(46\) | 0.0251947 | − | 0.239711i | 0.00371475 | − | 0.0353435i | ||||
\(47\) | −1.82215 | + | 3.15605i | −0.265787 | + | 0.460357i | −0.967770 | − | 0.251837i | \(-0.918965\pi\) |
0.701982 | + | 0.712194i | \(0.252299\pi\) | |||||||
\(48\) | 0.400565 | + | 0.693799i | 0.0578166 | + | 0.100141i | ||||
\(49\) | −6.21988 | + | 2.76927i | −0.888554 | + | 0.395610i | ||||
\(50\) | 1.86196 | 0.263320 | ||||||||
\(51\) | 2.14482 | − | 0.954933i | 0.300334 | − | 0.133717i | ||||
\(52\) | 1.51770 | − | 1.10267i | 0.210467 | − | 0.152913i | ||||
\(53\) | 0.735495 | + | 0.534368i | 0.101028 | + | 0.0734011i | 0.637152 | − | 0.770738i | \(-0.280112\pi\) |
−0.536124 | + | 0.844139i | \(0.680112\pi\) | |||||||
\(54\) | 4.19880 | − | 0.892483i | 0.571385 | − | 0.121452i | ||||
\(55\) | 4.12490 | + | 1.83652i | 0.556201 | + | 0.247637i | ||||
\(56\) | 0.399771 | + | 0.177990i | 0.0534217 | + | 0.0237849i | ||||
\(57\) | 0.694761 | + | 6.61021i | 0.0920233 | + | 0.875543i | ||||
\(58\) | 0.849246 | + | 2.61371i | 0.111512 | + | 0.343197i | ||||
\(59\) | 4.33207 | − | 4.81125i | 0.563988 | − | 0.626372i | −0.391934 | − | 0.919993i | \(-0.628194\pi\) |
0.955922 | + | 0.293622i | \(0.0948605\pi\) | |||||||
\(60\) | −1.41916 | −0.183213 | ||||||||
\(61\) | −1.75492 | + | 7.61054i | −0.224694 | + | 0.974429i | ||||
\(62\) | 3.92491 | 0.498464 | ||||||||
\(63\) | 0.690512 | − | 0.766892i | 0.0869964 | − | 0.0966193i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 0.347370 | + | 3.30500i | 0.0430859 | + | 0.409935i | ||||
\(66\) | 1.86546 | + | 0.830558i | 0.229623 | + | 0.102235i | ||||
\(67\) | −5.74046 | − | 2.55582i | −0.701309 | − | 0.312243i | 0.0249259 | − | 0.999689i | \(-0.492065\pi\) |
−0.726235 | + | 0.687446i | \(0.758732\pi\) | |||||||
\(68\) | 2.86656 | − | 0.609306i | 0.347621 | − | 0.0738892i | ||||
\(69\) | 0.156219 | + | 0.113500i | 0.0188066 | + | 0.0136638i | ||||
\(70\) | −0.627146 | + | 0.455648i | −0.0749583 | + | 0.0544604i | ||||
\(71\) | 7.39569 | − | 3.29277i | 0.877706 | − | 0.390780i | 0.0821216 | − | 0.996622i | \(-0.473830\pi\) |
0.795585 | + | 0.605842i | \(0.207164\pi\) | |||||||
\(72\) | 2.35819 | 0.277915 | ||||||||
\(73\) | 14.5768 | − | 6.49002i | 1.70609 | − | 0.759599i | 0.707486 | − | 0.706728i | \(-0.249829\pi\) |
0.998601 | − | 0.0528711i | \(-0.0168372\pi\) | |||||||
\(74\) | −2.38163 | − | 4.12510i | −0.276859 | − | 0.479533i | ||||
\(75\) | −0.745835 | + | 1.29182i | −0.0861216 | + | 0.149167i | ||||
\(76\) | −0.867226 | + | 8.25110i | −0.0994776 | + | 0.946466i | ||||
\(77\) | 1.09104 | − | 0.231907i | 0.124335 | − | 0.0264283i | ||||
\(78\) | 0.157096 | + | 1.49467i | 0.0177876 | + | 0.169238i | ||||
\(79\) | 1.10558 | − | 10.5189i | 0.124387 | − | 1.18346i | −0.737135 | − | 0.675745i | \(-0.763822\pi\) |
0.861522 | − | 0.507720i | \(-0.169511\pi\) | |||||||
\(80\) | −1.73274 | − | 0.368306i | −0.193726 | − | 0.0411778i | ||||
\(81\) | 1.12347 | − | 3.45769i | 0.124830 | − | 0.384188i | ||||
\(82\) | −1.71705 | − | 2.97402i | −0.189617 | − | 0.328426i | ||||
\(83\) | −9.45931 | + | 10.5056i | −1.03829 | + | 1.15314i | −0.0502868 | + | 0.998735i | \(0.516014\pi\) |
−0.988007 | + | 0.154408i | \(0.950653\pi\) | |||||||
\(84\) | −0.283624 | + | 0.206065i | −0.0309459 | + | 0.0224835i | ||||
\(85\) | −1.60424 | + | 4.93733i | −0.174004 | + | 0.535529i | ||||
\(86\) | −3.68160 | − | 4.08884i | −0.396998 | − | 0.440910i | ||||
\(87\) | −2.15357 | − | 0.457755i | −0.230887 | − | 0.0490765i | ||||
\(88\) | 2.06211 | + | 1.49821i | 0.219821 | + | 0.159710i | ||||
\(89\) | −2.10199 | − | 6.46927i | −0.222811 | − | 0.685742i | −0.998506 | − | 0.0546342i | \(-0.982601\pi\) |
0.775696 | − | 0.631107i | \(-0.217399\pi\) | |||||||
\(90\) | −2.08871 | + | 3.61775i | −0.220169 | + | 0.381345i | ||||
\(91\) | 0.549314 | + | 0.610075i | 0.0575837 | + | 0.0639532i | ||||
\(92\) | 0.161282 | + | 0.179122i | 0.0168148 | + | 0.0186747i | ||||
\(93\) | −1.57218 | + | 2.72310i | −0.163028 | + | 0.282372i | ||||
\(94\) | −1.12615 | − | 3.46593i | −0.116153 | − | 0.357483i | ||||
\(95\) | −11.8901 | − | 8.63865i | −1.21990 | − | 0.886306i | ||||
\(96\) | −0.783624 | − | 0.166564i | −0.0799783 | − | 0.0169999i | ||||
\(97\) | −7.48873 | − | 8.31708i | −0.760366 | − | 0.844472i | 0.231357 | − | 0.972869i | \(-0.425683\pi\) |
−0.991723 | + | 0.128397i | \(0.959017\pi\) | |||||||
\(98\) | 2.10394 | − | 6.47527i | 0.212530 | − | 0.654101i | ||||
\(99\) | 4.86284 | − | 3.53306i | 0.488734 | − | 0.355086i | ||||
\(100\) | −1.24589 | + | 1.38370i | −0.124589 | + | 0.138370i | ||||
\(101\) | 6.27220 | + | 10.8638i | 0.624107 | + | 1.08099i | 0.988713 | + | 0.149823i | \(0.0478705\pi\) |
−0.364606 | + | 0.931162i | \(0.618796\pi\) | |||||||
\(102\) | −0.725508 | + | 2.23288i | −0.0718360 | + | 0.221088i | ||||
\(103\) | −3.12575 | − | 0.664398i | −0.307989 | − | 0.0654651i | 0.0513244 | − | 0.998682i | \(-0.483656\pi\) |
−0.359313 | + | 0.933217i | \(0.616989\pi\) | |||||||
\(104\) | −0.196093 | + | 1.86570i | −0.0192285 | + | 0.182947i | ||||
\(105\) | −0.0649156 | − | 0.617630i | −0.00633511 | − | 0.0602746i | ||||
\(106\) | −0.889255 | + | 0.189017i | −0.0863721 | + | 0.0183590i | ||||
\(107\) | −0.875328 | + | 8.32819i | −0.0846212 | + | 0.805117i | 0.867096 | + | 0.498141i | \(0.165984\pi\) |
−0.951717 | + | 0.306976i | \(0.900683\pi\) | |||||||
\(108\) | −2.14630 | + | 3.71751i | −0.206528 | + | 0.357717i | ||||
\(109\) | −5.72063 | − | 9.90843i | −0.547937 | − | 0.949055i | −0.998416 | − | 0.0562681i | \(-0.982080\pi\) |
0.450478 | − | 0.892787i | \(-0.351253\pi\) | |||||||
\(110\) | −4.12490 | + | 1.83652i | −0.393294 | + | 0.175106i | ||||
\(111\) | 3.81599 | 0.362198 | ||||||||
\(112\) | −0.399771 | + | 0.177990i | −0.0377749 | + | 0.0168184i | ||||
\(113\) | 1.22513 | − | 0.890108i | 0.115250 | − | 0.0837343i | −0.528667 | − | 0.848829i | \(-0.677308\pi\) |
0.643918 | + | 0.765095i | \(0.277308\pi\) | |||||||
\(114\) | −5.37723 | − | 3.90678i | −0.503623 | − | 0.365904i | ||||
\(115\) | −0.417646 | + | 0.0887734i | −0.0389457 | + | 0.00827816i | ||||
\(116\) | −2.51062 | − | 1.11780i | −0.233106 | − | 0.103785i | ||||
\(117\) | 4.04145 | + | 1.79937i | 0.373632 | + | 0.166352i | ||||
\(118\) | 0.676736 | + | 6.43871i | 0.0622986 | + | 0.592732i | ||||
\(119\) | 0.396297 | + | 1.21968i | 0.0363285 | + | 0.111808i | ||||
\(120\) | 0.949606 | − | 1.05464i | 0.0866868 | − | 0.0962754i | ||||
\(121\) | −4.50308 | −0.409371 | ||||||||
\(122\) | −4.48146 | − | 6.39660i | −0.405733 | − | 0.579121i | ||||
\(123\) | 2.75117 | 0.248064 | ||||||||
\(124\) | −2.62628 | + | 2.91677i | −0.235847 | + | 0.261934i | ||||
\(125\) | −3.75630 | − | 11.5607i | −0.335973 | − | 1.03402i | ||||
\(126\) | 0.107869 | + | 1.02630i | 0.00960970 | + | 0.0914302i | ||||
\(127\) | 12.7075 | + | 5.65776i | 1.12761 | + | 0.502045i | 0.883841 | − | 0.467788i | \(-0.154949\pi\) |
0.243771 | + | 0.969833i | \(0.421615\pi\) | |||||||
\(128\) | −0.913545 | − | 0.406737i | −0.0807468 | − | 0.0359508i | ||||
\(129\) | 4.31155 | − | 0.916449i | 0.379611 | − | 0.0806888i | ||||
\(130\) | −2.68853 | − | 1.95333i | −0.235800 | − | 0.171319i | ||||
\(131\) | −7.08304 | + | 5.14613i | −0.618848 | + | 0.449620i | −0.852519 | − | 0.522696i | \(-0.824926\pi\) |
0.233671 | + | 0.972316i | \(0.424926\pi\) | |||||||
\(132\) | −1.86546 | + | 0.830558i | −0.162368 | + | 0.0722908i | ||||
\(133\) | −3.63061 | −0.314813 | ||||||||
\(134\) | 5.74046 | − | 2.55582i | 0.495901 | − | 0.220789i | ||||
\(135\) | −3.80208 | − | 6.58539i | −0.327231 | − | 0.566780i | ||||
\(136\) | −1.46530 | + | 2.53797i | −0.125648 | + | 0.217630i | ||||
\(137\) | −1.21309 | + | 11.5418i | −0.103641 | + | 0.986079i | 0.811884 | + | 0.583818i | \(0.198442\pi\) |
−0.915525 | + | 0.402260i | \(0.868225\pi\) | |||||||
\(138\) | −0.188878 | + | 0.0401473i | −0.0160784 | + | 0.00341757i | ||||
\(139\) | 1.02238 | + | 9.72727i | 0.0867169 | + | 0.825056i | 0.948286 | + | 0.317416i | \(0.102815\pi\) |
−0.861569 | + | 0.507640i | \(0.830518\pi\) | |||||||
\(140\) | 0.0810300 | − | 0.770949i | 0.00684828 | − | 0.0651571i | ||||
\(141\) | 2.85575 | + | 0.607009i | 0.240498 | + | 0.0511194i | ||||
\(142\) | −2.50167 | + | 7.69936i | −0.209936 | + | 0.646116i | ||||
\(143\) | 2.39085 | + | 4.14107i | 0.199933 | + | 0.346294i | ||||
\(144\) | −1.57794 | + | 1.75248i | −0.131495 | + | 0.146040i | ||||
\(145\) | 3.93857 | − | 2.86154i | 0.327080 | − | 0.237638i | ||||
\(146\) | −4.93077 | + | 15.1754i | −0.408073 | + | 1.25592i | ||||
\(147\) | 3.64977 | + | 4.05348i | 0.301028 | + | 0.334326i | ||||
\(148\) | 4.65917 | + | 0.990337i | 0.382981 | + | 0.0814052i | ||||
\(149\) | −15.4928 | − | 11.2562i | −1.26922 | − | 0.922140i | −0.270046 | − | 0.962848i | \(-0.587039\pi\) |
−0.999171 | + | 0.0407075i | \(0.987039\pi\) | |||||||
\(150\) | −0.460951 | − | 1.41866i | −0.0376365 | − | 0.115833i | ||||
\(151\) | 11.5752 | − | 20.0488i | 0.941974 | − | 1.63155i | 0.180276 | − | 0.983616i | \(-0.442301\pi\) |
0.761699 | − | 0.647931i | \(-0.224366\pi\) | |||||||
\(152\) | −5.55147 | − | 6.16554i | −0.450284 | − | 0.500091i | ||||
\(153\) | 4.62430 | + | 5.13581i | 0.373853 | + | 0.415206i | ||||
\(154\) | −0.557706 | + | 0.965975i | −0.0449412 | + | 0.0778405i | ||||
\(155\) | −2.14853 | − | 6.61249i | −0.172574 | − | 0.531128i | ||||
\(156\) | −1.21587 | − | 0.883385i | −0.0973479 | − | 0.0707274i | ||||
\(157\) | 19.2026 | + | 4.08163i | 1.53253 | + | 0.325750i | 0.895491 | − | 0.445080i | \(-0.146825\pi\) |
0.637042 | + | 0.770829i | \(0.280158\pi\) | |||||||
\(158\) | 7.07727 | + | 7.86010i | 0.563037 | + | 0.625316i | ||||
\(159\) | 0.225065 | − | 0.692678i | 0.0178488 | − | 0.0549329i | ||||
\(160\) | 1.43314 | − | 1.04123i | 0.113299 | − | 0.0823168i | ||||
\(161\) | −0.0705776 | + | 0.0783844i | −0.00556229 | + | 0.00617755i | ||||
\(162\) | 1.81782 | + | 3.14855i | 0.142821 | + | 0.247373i | ||||
\(163\) | −1.18178 | + | 3.63716i | −0.0925645 | + | 0.284884i | −0.986611 | − | 0.163089i | \(-0.947854\pi\) |
0.894047 | + | 0.447974i | \(0.147854\pi\) | |||||||
\(164\) | 3.35906 | + | 0.713991i | 0.262299 | + | 0.0557533i | ||||
\(165\) | 0.378112 | − | 3.59750i | 0.0294360 | − | 0.280065i | ||||
\(166\) | −1.47769 | − | 14.0593i | −0.114691 | − | 1.09121i | ||||
\(167\) | 15.9382 | − | 3.38777i | 1.23333 | − | 0.262153i | 0.455279 | − | 0.890349i | \(-0.349540\pi\) |
0.778055 | + | 0.628196i | \(0.216206\pi\) | |||||||
\(168\) | 0.0366454 | − | 0.348658i | 0.00282725 | − | 0.0268995i | ||||
\(169\) | 4.74035 | − | 8.21053i | 0.364642 | − | 0.631579i | ||||
\(170\) | −2.59571 | − | 4.49590i | −0.199082 | − | 0.344820i | ||||
\(171\) | −17.8734 | + | 7.95774i | −1.36681 | + | 0.608543i | ||||
\(172\) | 5.50207 | 0.419529 | ||||||||
\(173\) | −14.6008 | + | 6.50070i | −1.11008 | + | 0.494239i | −0.878098 | − | 0.478481i | \(-0.841187\pi\) |
−0.231981 | + | 0.972720i | \(0.574521\pi\) | |||||||
\(174\) | 1.78120 | − | 1.29412i | 0.135032 | − | 0.0981067i | ||||
\(175\) | −0.659187 | − | 0.478927i | −0.0498299 | − | 0.0362035i | ||||
\(176\) | −2.49321 | + | 0.529947i | −0.187932 | + | 0.0399463i | ||||
\(177\) | −4.73825 | − | 2.10960i | −0.356149 | − | 0.158568i | ||||
\(178\) | 6.21412 | + | 2.76670i | 0.465768 | + | 0.207373i | ||||
\(179\) | 0.595454 | + | 5.66536i | 0.0445063 | + | 0.423449i | 0.993977 | + | 0.109592i | \(0.0349545\pi\) |
−0.949470 | + | 0.313857i | \(0.898379\pi\) | |||||||
\(180\) | −1.29089 | − | 3.97296i | −0.0962176 | − | 0.296127i | ||||
\(181\) | 16.6660 | − | 18.5094i | 1.23877 | − | 1.37580i | 0.338208 | − | 0.941071i | \(-0.390179\pi\) |
0.900564 | − | 0.434724i | \(-0.143154\pi\) | |||||||
\(182\) | −0.820937 | −0.0608519 | ||||||||
\(183\) | 6.23307 | − | 0.546980i | 0.460762 | − | 0.0404339i | ||||
\(184\) | −0.241032 | −0.0177691 | ||||||||
\(185\) | −5.64605 | + | 6.27057i | −0.415106 | + | 0.461022i | ||||
\(186\) | −0.971661 | − | 2.99047i | −0.0712457 | − | 0.219272i | ||||
\(187\) | 0.780809 | + | 7.42890i | 0.0570984 | + | 0.543255i | ||||
\(188\) | 3.32922 | + | 1.48227i | 0.242809 | + | 0.108105i | ||||
\(189\) | −1.71606 | − | 0.764040i | −0.124825 | − | 0.0555757i | ||||
\(190\) | 14.3758 | − | 3.05567i | 1.04293 | − | 0.221681i | ||||
\(191\) | 18.5008 | + | 13.4416i | 1.33867 | + | 0.972600i | 0.999492 | + | 0.0318782i | \(0.0101489\pi\) |
0.339178 | + | 0.940722i | \(0.389851\pi\) | |||||||
\(192\) | 0.648128 | − | 0.470893i | 0.0467746 | − | 0.0339837i | ||||
\(193\) | −12.0949 | + | 5.38498i | −0.870607 | + | 0.387619i | −0.792896 | − | 0.609357i | \(-0.791428\pi\) |
−0.0777109 | + | 0.996976i | \(0.524761\pi\) | |||||||
\(194\) | 11.1917 | 0.803520 | ||||||||
\(195\) | 2.43215 | − | 1.08286i | 0.174170 | − | 0.0775455i | ||||
\(196\) | 3.40425 | + | 5.89634i | 0.243161 | + | 0.421167i | ||||
\(197\) | 11.3841 | − | 19.7179i | 0.811084 | − | 1.40484i | −0.101022 | − | 0.994884i | \(-0.532211\pi\) |
0.912106 | − | 0.409955i | \(-0.134456\pi\) | |||||||
\(198\) | −0.628300 | + | 5.97788i | −0.0446513 | + | 0.424829i | ||||
\(199\) | −0.503149 | + | 0.106948i | −0.0356673 | + | 0.00758132i | −0.225711 | − | 0.974194i | \(-0.572470\pi\) |
0.190043 | + | 0.981776i | \(0.439137\pi\) | |||||||
\(200\) | −0.194627 | − | 1.85176i | −0.0137622 | − | 0.130939i | ||||
\(201\) | −0.526204 | + | 5.00650i | −0.0371156 | + | 0.353131i | ||||
\(202\) | −12.2703 | − | 2.60813i | −0.863334 | − | 0.183507i | ||||
\(203\) | 0.371634 | − | 1.14377i | 0.0260836 | − | 0.0802770i | ||||
\(204\) | −1.17390 | − | 2.03325i | −0.0821892 | − | 0.142356i | ||||
\(205\) | −4.07056 | + | 4.52082i | −0.284300 | + | 0.315747i | ||||
\(206\) | 2.58528 | − | 1.87831i | 0.180125 | − | 0.130868i | ||||
\(207\) | −0.175645 | + | 0.540580i | −0.0122082 | + | 0.0375729i | ||||
\(208\) | −1.25528 | − | 1.39412i | −0.0870377 | − | 0.0966651i | ||||
\(209\) | −20.6850 | − | 4.39673i | −1.43081 | − | 0.304128i | ||||
\(210\) | 0.502426 | + | 0.365034i | 0.0346707 | + | 0.0251897i | ||||
\(211\) | 7.13412 | + | 21.9566i | 0.491133 | + | 1.51155i | 0.822897 | + | 0.568190i | \(0.192356\pi\) |
−0.331764 | + | 0.943362i | \(0.607644\pi\) | |||||||
\(212\) | 0.454561 | − | 0.787322i | 0.0312194 | − | 0.0540735i | ||||
\(213\) | −4.33973 | − | 4.81975i | −0.297353 | − | 0.330244i | ||||
\(214\) | −5.60334 | − | 6.22314i | −0.383037 | − | 0.425405i | ||||
\(215\) | −4.87333 | + | 8.44085i | −0.332358 | + | 0.575661i | ||||
\(216\) | −1.32649 | − | 4.08251i | −0.0902561 | − | 0.277780i | ||||
\(217\) | −1.38953 | − | 1.00955i | −0.0943276 | − | 0.0685330i | ||||
\(218\) | 11.1913 | + | 2.37877i | 0.757967 | + | 0.161111i | ||||
\(219\) | −8.55355 | − | 9.49968i | −0.577995 | − | 0.641929i | ||||
\(220\) | 1.39529 | − | 4.29427i | 0.0940707 | − | 0.289520i | ||||
\(221\) | −4.44777 | + | 3.23149i | −0.299189 | + | 0.217374i | ||||
\(222\) | −2.55340 | + | 2.83583i | −0.171373 | + | 0.190329i | ||||
\(223\) | −1.78665 | − | 3.09456i | −0.119643 | − | 0.207227i | 0.799983 | − | 0.600022i | \(-0.204842\pi\) |
−0.919626 | + | 0.392795i | \(0.871508\pi\) | |||||||
\(224\) | 0.135227 | − | 0.416186i | 0.00903525 | − | 0.0278076i | ||||
\(225\) | −4.29490 | − | 0.912908i | −0.286326 | − | 0.0608605i | ||||
\(226\) | −0.158292 | + | 1.50605i | −0.0105294 | + | 0.100181i | ||||
\(227\) | 1.58998 | + | 15.1276i | 0.105531 | + | 1.00406i | 0.911276 | + | 0.411796i | \(0.135098\pi\) |
−0.805746 | + | 0.592262i | \(0.798235\pi\) | |||||||
\(228\) | 6.50137 | − | 1.38191i | 0.430564 | − | 0.0915192i | ||||
\(229\) | −1.13351 | + | 10.7846i | −0.0749045 | + | 0.712669i | 0.891041 | + | 0.453923i | \(0.149976\pi\) |
−0.965945 | + | 0.258746i | \(0.916691\pi\) | |||||||
\(230\) | 0.213488 | − | 0.369772i | 0.0140770 | − | 0.0243821i | ||||
\(231\) | −0.446795 | − | 0.773872i | −0.0293970 | − | 0.0509170i | ||||
\(232\) | 2.51062 | − | 1.11780i | 0.164830 | − | 0.0733873i | ||||
\(233\) | 13.2963 | 0.871072 | 0.435536 | − | 0.900171i | \(-0.356559\pi\) | ||||
0.435536 | + | 0.900171i | \(0.356559\pi\) | |||||||
\(234\) | −4.04145 | + | 1.79937i | −0.264198 | + | 0.117628i | ||||
\(235\) | −5.22276 | + | 3.79456i | −0.340695 | + | 0.247530i | ||||
\(236\) | −5.23772 | − | 3.80543i | −0.340947 | − | 0.247712i | ||||
\(237\) | −8.28824 | + | 1.76172i | −0.538379 | + | 0.114436i | ||||
\(238\) | −1.17157 | − | 0.521617i | −0.0759416 | − | 0.0338114i | ||||
\(239\) | 15.8260 | + | 7.04621i | 1.02370 | + | 0.455781i | 0.848749 | − | 0.528796i | \(-0.177356\pi\) |
0.174952 | + | 0.984577i | \(0.444023\pi\) | |||||||
\(240\) | 0.148343 | + | 1.41139i | 0.00957550 | + | 0.0911048i | ||||
\(241\) | 1.60148 | + | 4.92884i | 0.103160 | + | 0.317495i | 0.989294 | − | 0.145934i | \(-0.0466189\pi\) |
−0.886134 | + | 0.463429i | \(0.846619\pi\) | |||||||
\(242\) | 3.01315 | − | 3.34644i | 0.193693 | − | 0.215117i | ||||
\(243\) | −15.7904 | −1.01296 | ||||||||
\(244\) | 7.75228 | + | 0.949785i | 0.496289 | + | 0.0608038i | ||||
\(245\) | −12.0609 | −0.770545 | ||||||||
\(246\) | −1.84089 | + | 2.04452i | −0.117371 | + | 0.130354i | ||||
\(247\) | −4.80959 | − | 14.8024i | −0.306027 | − | 0.941853i | ||||
\(248\) | −0.410265 | − | 3.90341i | −0.0260518 | − | 0.247867i | ||||
\(249\) | 10.3462 | + | 4.60644i | 0.655665 | + | 0.291921i | ||||
\(250\) | 11.1047 | + | 4.94414i | 0.702324 | + | 0.312695i | ||||
\(251\) | 8.32769 | − | 1.77010i | 0.525639 | − | 0.111728i | 0.0625534 | − | 0.998042i | \(-0.480076\pi\) |
0.463086 | + | 0.886314i | \(0.346742\pi\) | |||||||
\(252\) | −0.834869 | − | 0.606568i | −0.0525918 | − | 0.0382102i | ||||
\(253\) | −0.497034 | + | 0.361116i | −0.0312482 | + | 0.0227032i | ||||
\(254\) | −12.7075 | + | 5.65776i | −0.797342 | + | 0.355000i | ||||
\(255\) | 4.15900 | 0.260447 | ||||||||
\(256\) | 0.913545 | − | 0.406737i | 0.0570966 | − | 0.0254210i | ||||
\(257\) | −12.4206 | − | 21.5131i | −0.774776 | − | 1.34195i | −0.934920 | − | 0.354858i | \(-0.884529\pi\) |
0.160144 | − | 0.987094i | \(-0.448804\pi\) | |||||||
\(258\) | −2.20394 | + | 3.81733i | −0.137211 | + | 0.237657i | ||||
\(259\) | −0.217881 | + | 2.07300i | −0.0135385 | + | 0.128810i | ||||
\(260\) | 3.25059 | − | 0.690934i | 0.201593 | − | 0.0428499i | ||||
\(261\) | −0.677431 | − | 6.44532i | −0.0419319 | − | 0.398955i | ||||
\(262\) | 0.915159 | − | 8.70716i | 0.0565387 | − | 0.537930i | ||||
\(263\) | −10.0364 | − | 2.13331i | −0.618872 | − | 0.131545i | −0.112202 | − | 0.993685i | \(-0.535790\pi\) |
−0.506670 | + | 0.862140i | \(0.669124\pi\) | |||||||
\(264\) | 0.631014 | − | 1.94206i | 0.0388362 | − | 0.119526i | ||||
\(265\) | 0.805233 | + | 1.39470i | 0.0494651 | + | 0.0856760i | ||||
\(266\) | 2.42935 | − | 2.69807i | 0.148953 | − | 0.165429i | ||||
\(267\) | −4.40869 | + | 3.20310i | −0.269808 | + | 0.196027i | ||||
\(268\) | −1.94178 | + | 5.97617i | −0.118613 | + | 0.365053i | ||||
\(269\) | 2.40993 | + | 2.67650i | 0.146936 | + | 0.163189i | 0.812120 | − | 0.583490i | \(-0.198313\pi\) |
−0.665184 | + | 0.746680i | \(0.731647\pi\) | |||||||
\(270\) | 7.43798 | + | 1.58099i | 0.452661 | + | 0.0962161i | ||||
\(271\) | −3.97652 | − | 2.88911i | −0.241556 | − | 0.175501i | 0.460420 | − | 0.887701i | \(-0.347699\pi\) |
−0.701976 | + | 0.712200i | \(0.747699\pi\) | |||||||
\(272\) | −0.905605 | − | 2.78717i | −0.0549104 | − | 0.168997i | ||||
\(273\) | 0.328839 | − | 0.569565i | 0.0199022 | − | 0.0344717i | ||||
\(274\) | −7.76548 | − | 8.62444i | −0.469130 | − | 0.521022i | ||||
\(275\) | −3.17566 | − | 3.52693i | −0.191499 | − | 0.212682i | ||||
\(276\) | 0.0965489 | − | 0.167228i | 0.00581156 | − | 0.0100659i | ||||
\(277\) | −5.22674 | − | 16.0862i | −0.314044 | − | 0.966528i | −0.976146 | − | 0.217115i | \(-0.930335\pi\) |
0.662102 | − | 0.749414i | \(-0.269665\pi\) | |||||||
\(278\) | −7.91287 | − | 5.74904i | −0.474582 | − | 0.344804i | ||||
\(279\) | −9.05342 | − | 1.92436i | −0.542014 | − | 0.115209i | ||||
\(280\) | 0.518707 | + | 0.576082i | 0.0309987 | + | 0.0344275i | ||||
\(281\) | 1.45601 | − | 4.48114i | 0.0868583 | − | 0.267322i | −0.898188 | − | 0.439611i | \(-0.855116\pi\) |
0.985046 | + | 0.172289i | \(0.0551162\pi\) | |||||||
\(282\) | −2.36197 | + | 1.71607i | −0.140653 | + | 0.102190i | ||||
\(283\) | −5.88787 | + | 6.53914i | −0.349998 | + | 0.388712i | −0.892278 | − | 0.451486i | \(-0.850894\pi\) |
0.542281 | + | 0.840197i | \(0.317561\pi\) | |||||||
\(284\) | −4.04779 | − | 7.01098i | −0.240192 | − | 0.416025i | ||||
\(285\) | −3.63842 | + | 11.1979i | −0.215521 | + | 0.663306i | ||||
\(286\) | −4.67720 | − | 0.994170i | −0.276569 | − | 0.0587865i | ||||
\(287\) | −0.157083 | + | 1.49455i | −0.00927233 | + | 0.0882204i | ||||
\(288\) | −0.246498 | − | 2.34527i | −0.0145250 | − | 0.138196i | ||||
\(289\) | 8.22777 | − | 1.74887i | 0.483986 | − | 0.102874i | ||||
\(290\) | −0.508880 | + | 4.84167i | −0.0298825 | + | 0.284313i | ||||
\(291\) | −4.48302 | + | 7.76482i | −0.262799 | + | 0.455182i | ||||
\(292\) | −7.97815 | − | 13.8186i | −0.466886 | − | 0.808671i | ||||
\(293\) | −28.3833 | + | 12.6371i | −1.65817 | + | 0.738266i | −0.999895 | − | 0.0145105i | \(-0.995381\pi\) |
−0.658277 | + | 0.752776i | \(0.728714\pi\) | |||||||
\(294\) | −5.45450 | −0.318113 | ||||||||
\(295\) | 10.4772 | − | 4.66474i | 0.610005 | − | 0.271592i | ||||
\(296\) | −3.85356 | + | 2.79977i | −0.223983 | + | 0.162733i | ||||
\(297\) | −8.85182 | − | 6.43122i | −0.513635 | − | 0.373177i | ||||
\(298\) | 18.7316 | − | 3.98153i | 1.08509 | − | 0.230644i | ||||
\(299\) | −0.413078 | − | 0.183914i | −0.0238889 | − | 0.0106360i | ||||
\(300\) | 1.36271 | + | 0.606716i | 0.0786760 | + | 0.0350288i | ||||
\(301\) | 0.251676 | + | 2.39454i | 0.0145064 | + | 0.138019i | ||||
\(302\) | 7.15385 | + | 22.0173i | 0.411658 | + | 1.26695i | ||||
\(303\) | 6.72456 | − | 7.46838i | 0.386316 | − | 0.429047i | ||||
\(304\) | 8.29655 | 0.475840 | ||||||||
\(305\) | −8.32349 | + | 11.0517i | −0.476602 | + | 0.632819i | ||||
\(306\) | −6.91091 | −0.395071 | ||||||||
\(307\) | 4.10736 | − | 4.56169i | 0.234420 | − | 0.260349i | −0.614445 | − | 0.788960i | \(-0.710620\pi\) |
0.848865 | + | 0.528610i | \(0.177287\pi\) | |||||||
\(308\) | −0.344681 | − | 1.06082i | −0.0196400 | − | 0.0604458i | ||||
\(309\) | 0.267601 | + | 2.54605i | 0.0152233 | + | 0.144840i | ||||
\(310\) | 6.35169 | + | 2.82795i | 0.360752 | + | 0.160617i | ||||
\(311\) | 13.0621 | + | 5.81560i | 0.740681 | + | 0.329772i | 0.742157 | − | 0.670226i | \(-0.233803\pi\) |
−0.00147561 | + | 0.999999i | \(0.500470\pi\) | |||||||
\(312\) | 1.47006 | − | 0.312471i | 0.0832258 | − | 0.0176902i | ||||
\(313\) | 6.59675 | + | 4.79282i | 0.372870 | + | 0.270906i | 0.758400 | − | 0.651789i | \(-0.225981\pi\) |
−0.385530 | + | 0.922695i | \(0.625981\pi\) | |||||||
\(314\) | −15.8823 | + | 11.5392i | −0.896289 | + | 0.651192i | ||||
\(315\) | 1.67001 | − | 0.743538i | 0.0940946 | − | 0.0418936i | ||||
\(316\) | −10.5768 | −0.594992 | ||||||||
\(317\) | 14.0189 | − | 6.24163i | 0.787382 | − | 0.350565i | 0.0266614 | − | 0.999645i | \(-0.491512\pi\) |
0.760721 | + | 0.649079i | \(0.224846\pi\) | |||||||
\(318\) | 0.364162 | + | 0.630748i | 0.0204212 | + | 0.0353706i | ||||
\(319\) | 3.50248 | − | 6.06647i | 0.196101 | − | 0.339657i | ||||
\(320\) | −0.185167 | + | 1.76175i | −0.0103512 | + | 0.0984847i | ||||
\(321\) | 6.56212 | − | 1.39482i | 0.366262 | − | 0.0778513i | ||||
\(322\) | −0.0110253 | − | 0.104899i | −0.000614416 | − | 0.00584578i | ||||
\(323\) | 2.54149 | − | 24.1807i | 0.141412 | − | 1.34545i | ||||
\(324\) | −3.55619 | − | 0.755891i | −0.197566 | − | 0.0419939i | ||||
\(325\) | 1.07939 | − | 3.32203i | 0.0598740 | − | 0.184273i | ||||
\(326\) | −1.91217 | − | 3.31197i | −0.105905 | − | 0.183433i | ||||
\(327\) | −6.13322 | + | 6.81163i | −0.339168 | + | 0.376684i | ||||
\(328\) | −2.77825 | + | 2.01852i | −0.153403 | + | 0.111454i | ||||
\(329\) | −0.492807 | + | 1.51670i | −0.0271693 | + | 0.0836186i | ||||
\(330\) | 2.42046 | + | 2.68819i | 0.133242 | + | 0.147980i | ||||
\(331\) | −12.6705 | − | 2.69319i | −0.696432 | − | 0.148031i | −0.153925 | − | 0.988082i | \(-0.549191\pi\) |
−0.542507 | + | 0.840051i | \(0.682525\pi\) | |||||||
\(332\) | 11.4368 | + | 8.30935i | 0.627678 | + | 0.456035i | ||||
\(333\) | 3.47109 | + | 10.6829i | 0.190214 | + | 0.585419i | ||||
\(334\) | −8.14713 | + | 14.1112i | −0.445791 | + | 0.772133i | ||||
\(335\) | −7.44830 | − | 8.27218i | −0.406944 | − | 0.451957i | ||||
\(336\) | 0.234583 | + | 0.260530i | 0.0127975 | + | 0.0142131i | ||||
\(337\) | 11.5706 | − | 20.0408i | 0.630289 | − | 1.09169i | −0.357203 | − | 0.934027i | \(-0.616270\pi\) |
0.987492 | − | 0.157666i | \(-0.0503970\pi\) | |||||||
\(338\) | 2.92970 | + | 9.01668i | 0.159355 | + | 0.490443i | ||||
\(339\) | −0.981488 | − | 0.713093i | −0.0533071 | − | 0.0387299i | ||||
\(340\) | 5.07797 | + | 1.07936i | 0.275392 | + | 0.0585363i | ||||
\(341\) | −6.69413 | − | 7.43458i | −0.362507 | − | 0.402605i | ||||
\(342\) | 6.04587 | − | 18.6073i | 0.326923 | − | 1.00617i | ||||
\(343\) | −4.88862 | + | 3.55179i | −0.263960 | + | 0.191778i | ||||
\(344\) | −3.68160 | + | 4.08884i | −0.198499 | + | 0.220455i | ||||
\(345\) | 0.171032 | + | 0.296236i | 0.00920805 | + | 0.0159488i | ||||
\(346\) | 4.93889 | − | 15.2003i | 0.265516 | − | 0.817175i | ||||
\(347\) | 36.3232 | + | 7.72074i | 1.94993 | + | 0.414471i | 0.991721 | + | 0.128411i | \(0.0409878\pi\) |
0.958212 | + | 0.286060i | \(0.0923455\pi\) | |||||||
\(348\) | −0.230138 | + | 2.18962i | −0.0123367 | + | 0.117376i | ||||
\(349\) | 1.38030 | + | 13.1327i | 0.0738857 | + | 0.702976i | 0.967282 | + | 0.253705i | \(0.0816494\pi\) |
−0.893396 | + | 0.449271i | \(0.851684\pi\) | |||||||
\(350\) | 0.796995 | − | 0.169406i | 0.0426012 | − | 0.00905515i | ||||
\(351\) | 0.841751 | − | 8.00873i | 0.0449294 | − | 0.427474i | ||||
\(352\) | 1.27445 | − | 2.20742i | 0.0679286 | − | 0.117656i | ||||
\(353\) | −0.554227 | − | 0.959949i | −0.0294985 | − | 0.0510929i | 0.850899 | − | 0.525329i | \(-0.176058\pi\) |
−0.880398 | + | 0.474236i | \(0.842724\pi\) | |||||||
\(354\) | 4.73825 | − | 2.10960i | 0.251835 | − | 0.112124i | ||||
\(355\) | 14.3409 | 0.761138 | ||||||||
\(356\) | −6.21412 | + | 2.76670i | −0.329347 | + | 0.146635i | ||||
\(357\) | 0.831188 | − | 0.603893i | 0.0439911 | − | 0.0319614i | ||||
\(358\) | −4.60862 | − | 3.34836i | −0.243573 | − | 0.176966i | ||||
\(359\) | 30.9898 | − | 6.58709i | 1.63558 | − | 0.347653i | 0.703721 | − | 0.710476i | \(-0.251520\pi\) |
0.931858 | + | 0.362823i | \(0.118187\pi\) | |||||||
\(360\) | 3.81627 | + | 1.69911i | 0.201135 | + | 0.0895510i | ||||
\(361\) | 45.5245 | + | 20.2688i | 2.39602 | + | 1.06678i | ||||
\(362\) | 2.60348 | + | 24.7705i | 0.136836 | + | 1.30191i | ||||
\(363\) | 1.11480 | + | 3.43099i | 0.0585116 | + | 0.180080i | ||||
\(364\) | 0.549314 | − | 0.610075i | 0.0287919 | − | 0.0319766i | ||||
\(365\) | 28.2658 | 1.47950 | ||||||||
\(366\) | −3.76425 | + | 4.99808i | −0.196761 | + | 0.261254i | ||||
\(367\) | −16.6322 | −0.868193 | −0.434096 | − | 0.900866i | \(-0.642932\pi\) | ||||
−0.434096 | + | 0.900866i | \(0.642932\pi\) | |||||||
\(368\) | 0.161282 | − | 0.179122i | 0.00840739 | − | 0.00933736i | ||||
\(369\) | 2.50251 | + | 7.70192i | 0.130275 | + | 0.400946i | ||||
\(370\) | −0.881999 | − | 8.39166i | −0.0458530 | − | 0.436262i | ||||
\(371\) | 0.363441 | + | 0.161814i | 0.0188689 | + | 0.00840098i | ||||
\(372\) | 2.87252 | + | 1.27893i | 0.148933 | + | 0.0663093i | ||||
\(373\) | 13.4869 | − | 2.86673i | 0.698326 | − | 0.148434i | 0.154949 | − | 0.987922i | \(-0.450479\pi\) |
0.543377 | + | 0.839489i | \(0.317145\pi\) | |||||||
\(374\) | −6.04321 | − | 4.39065i | −0.312487 | − | 0.227035i | ||||
\(375\) | −7.87840 | + | 5.72400i | −0.406839 | + | 0.295586i | ||||
\(376\) | −3.32922 | + | 1.48227i | −0.171692 | + | 0.0764421i | ||||
\(377\) | 5.15560 | 0.265527 | ||||||||
\(378\) | 1.71606 | − | 0.764040i | 0.0882647 | − | 0.0392980i | ||||
\(379\) | −8.56877 | − | 14.8415i | −0.440148 | − | 0.762359i | 0.557552 | − | 0.830142i | \(-0.311741\pi\) |
−0.997700 | + | 0.0677833i | \(0.978407\pi\) | |||||||
\(380\) | −7.34847 | + | 12.7279i | −0.376969 | + | 0.652929i | ||||
\(381\) | 1.16485 | − | 11.0828i | 0.0596769 | − | 0.567788i | ||||
\(382\) | −22.3685 | + | 4.75457i | −1.14447 | + | 0.243265i | ||||
\(383\) | −0.371653 | − | 3.53605i | −0.0189906 | − | 0.180683i | 0.980915 | − | 0.194438i | \(-0.0622883\pi\) |
−0.999905 | + | 0.0137546i | \(0.995622\pi\) | |||||||
\(384\) | −0.0837409 | + | 0.796742i | −0.00427339 | + | 0.0406585i | ||||
\(385\) | 1.93272 | + | 0.410813i | 0.0985006 | + | 0.0209370i | ||||
\(386\) | 4.09122 | − | 12.5915i | 0.208238 | − | 0.640890i | ||||
\(387\) | 6.48746 | + | 11.2366i | 0.329776 | + | 0.571189i | ||||
\(388\) | −7.48873 | + | 8.31708i | −0.380183 | + | 0.422236i | ||||
\(389\) | −17.2148 | + | 12.5073i | −0.872823 | + | 0.634143i | −0.931343 | − | 0.364143i | \(-0.881362\pi\) |
0.0585198 | + | 0.998286i | \(0.481362\pi\) | |||||||
\(390\) | −0.822703 | + | 2.53202i | −0.0416592 | + | 0.128214i | ||||
\(391\) | −0.472652 | − | 0.524934i | −0.0239031 | − | 0.0265470i | ||||
\(392\) | −6.65972 | − | 1.41557i | −0.336367 | − | 0.0714969i | ||||
\(393\) | 5.67444 | + | 4.12272i | 0.286238 | + | 0.207964i | ||||
\(394\) | 7.03577 | + | 21.6539i | 0.354457 | + | 1.09091i | ||||
\(395\) | 9.36816 | − | 16.2261i | 0.471363 | − | 0.816425i | ||||
\(396\) | −4.02201 | − | 4.46690i | −0.202114 | − | 0.224470i | ||||
\(397\) | −2.28182 | − | 2.53421i | −0.114521 | − | 0.127188i | 0.683158 | − | 0.730270i | \(-0.260606\pi\) |
−0.797679 | + | 0.603082i | \(0.793939\pi\) | |||||||
\(398\) | 0.257195 | − | 0.445475i | 0.0128920 | − | 0.0223296i | ||||
\(399\) | 0.898803 | + | 2.76623i | 0.0449964 | + | 0.138485i | ||||
\(400\) | 1.50635 | + | 1.09443i | 0.0753177 | + | 0.0547215i | ||||
\(401\) | −29.3062 | − | 6.22922i | −1.46348 | − | 0.311073i | −0.593771 | − | 0.804634i | \(-0.702361\pi\) |
−0.869711 | + | 0.493562i | \(0.835695\pi\) | |||||||
\(402\) | −3.36846 | − | 3.74105i | −0.168003 | − | 0.186587i | ||||
\(403\) | 2.27531 | − | 7.00267i | 0.113341 | − | 0.348828i | ||||
\(404\) | 10.1486 | − | 7.37341i | 0.504913 | − | 0.366841i | ||||
\(405\) | 4.30944 | − | 4.78611i | 0.214138 | − | 0.237824i | ||||
\(406\) | 0.601316 | + | 1.04151i | 0.0298428 | + | 0.0516893i | ||||
\(407\) | −3.75180 | + | 11.5469i | −0.185970 | + | 0.572357i | ||||
\(408\) | 2.29649 | + | 0.488134i | 0.113693 | + | 0.0241662i | ||||
\(409\) | −2.35363 | + | 22.3933i | −0.116379 | + | 1.10728i | 0.767982 | + | 0.640472i | \(0.221261\pi\) |
−0.884361 | + | 0.466803i | \(0.845406\pi\) | |||||||
\(410\) | −0.635884 | − | 6.05003i | −0.0314041 | − | 0.298790i | ||||
\(411\) | 9.09421 | − | 1.93303i | 0.448584 | − | 0.0953495i | ||||
\(412\) | −0.334029 | + | 3.17807i | −0.0164564 | + | 0.156572i | ||||
\(413\) | 1.41656 | − | 2.45356i | 0.0697046 | − | 0.120732i | ||||
\(414\) | −0.284199 | − | 0.492248i | −0.0139676 | − | 0.0241927i | ||||
\(415\) | −22.8775 | + | 10.1857i | −1.12301 | + | 0.499997i | ||||
\(416\) | 1.87598 | 0.0919774 | ||||||||
\(417\) | 7.15830 | − | 3.18708i | 0.350543 | − | 0.156072i | ||||
\(418\) | 17.1084 | − | 12.4300i | 0.836798 | − | 0.607969i | ||||
\(419\) | −5.13165 | − | 3.72836i | −0.250698 | − | 0.182142i | 0.455338 | − | 0.890318i | \(-0.349518\pi\) |
−0.706036 | + | 0.708176i | \(0.749518\pi\) | |||||||
\(420\) | −0.607461 | + | 0.129120i | −0.0296411 | + | 0.00630041i | ||||
\(421\) | 0.233180 | + | 0.103818i | 0.0113645 | + | 0.00505980i | 0.412411 | − | 0.910998i | \(-0.364687\pi\) |
−0.401047 | + | 0.916058i | \(0.631353\pi\) | |||||||
\(422\) | −21.0906 | − | 9.39012i | −1.02667 | − | 0.457104i | ||||
\(423\) | 0.898310 | + | 8.54685i | 0.0436773 | + | 0.415562i | ||||
\(424\) | 0.280934 | + | 0.864626i | 0.0136434 | + | 0.0419900i | ||||
\(425\) | 3.65121 | − | 4.05508i | 0.177110 | − | 0.196700i | ||||
\(426\) | 6.48562 | 0.314229 | ||||||||
\(427\) | −0.0587476 | + | 3.41729i | −0.00284299 | + | 0.165374i | ||||
\(428\) | 8.37407 | 0.404776 | ||||||||
\(429\) | 2.56328 | − | 2.84681i | 0.123756 | − | 0.137445i | ||||
\(430\) | −3.01188 | − | 9.26962i | −0.145246 | − | 0.447021i | ||||
\(431\) | 1.99933 | + | 19.0223i | 0.0963043 | + | 0.916274i | 0.930866 | + | 0.365360i | \(0.119054\pi\) |
−0.834562 | + | 0.550914i | \(0.814279\pi\) | |||||||
\(432\) | 3.92149 | + | 1.74596i | 0.188673 | + | 0.0840026i | ||||
\(433\) | −23.4274 | − | 10.4305i | −1.12585 | − | 0.501260i | −0.242581 | − | 0.970131i | \(-0.577994\pi\) |
−0.883266 | + | 0.468872i | \(0.844661\pi\) | |||||||
\(434\) | 1.68002 | − | 0.357100i | 0.0806437 | − | 0.0171414i | ||||
\(435\) | −3.15531 | − | 2.29247i | −0.151285 | − | 0.109915i | ||||
\(436\) | −9.25618 | + | 6.72501i | −0.443291 | + | 0.322070i | ||||
\(437\) | 1.82685 | − | 0.813364i | 0.0873899 | − | 0.0389085i | ||||
\(438\) | 12.7831 | 0.610799 | ||||||||
\(439\) | −4.49971 | + | 2.00340i | −0.214759 | + | 0.0956171i | −0.511297 | − | 0.859404i | \(-0.670835\pi\) |
0.296537 | + | 0.955021i | \(0.404168\pi\) | |||||||
\(440\) | 2.25763 | + | 3.91033i | 0.107628 | + | 0.186418i | ||||
\(441\) | −8.02787 | + | 13.9047i | −0.382280 | + | 0.662128i | ||||
\(442\) | 0.574671 | − | 5.46763i | 0.0273343 | − | 0.260069i | ||||
\(443\) | 0.568150 | − | 0.120764i | 0.0269936 | − | 0.00573767i | −0.194395 | − | 0.980923i | \(-0.562274\pi\) |
0.221389 | + | 0.975186i | \(0.428941\pi\) | |||||||
\(444\) | −0.398880 | − | 3.79509i | −0.0189300 | − | 0.180107i | ||||
\(445\) | 1.25954 | − | 11.9838i | 0.0597081 | − | 0.568085i | ||||
\(446\) | 3.49521 | + | 0.742929i | 0.165503 | + | 0.0351787i | ||||
\(447\) | −4.74086 | + | 14.5909i | −0.224235 | + | 0.690124i | ||||
\(448\) | 0.218802 | + | 0.378976i | 0.0103374 | + | 0.0179050i | ||||
\(449\) | 9.68709 | − | 10.7586i | 0.457162 | − | 0.507730i | −0.469858 | − | 0.882742i | \(-0.655695\pi\) |
0.927020 | + | 0.375012i | \(0.122361\pi\) | |||||||
\(450\) | 3.55227 | − | 2.58087i | 0.167456 | − | 0.121664i | ||||
\(451\) | −2.70489 | + | 8.32480i | −0.127368 | + | 0.392000i | ||||
\(452\) | −1.01329 | − | 1.12538i | −0.0476613 | − | 0.0529332i | ||||
\(453\) | −18.1412 | − | 3.85602i | −0.852346 | − | 0.181172i | ||||
\(454\) | −12.3059 | − | 8.94079i | −0.577546 | − | 0.419612i | ||||
\(455\) | 0.449388 | + | 1.38307i | 0.0210676 | + | 0.0648395i | ||||
\(456\) | −3.32331 | + | 5.75614i | −0.155628 | + | 0.269556i | ||||
\(457\) | −17.9840 | − | 19.9733i | −0.841256 | − | 0.934310i | 0.157326 | − | 0.987547i | \(-0.449713\pi\) |
−0.998582 | + | 0.0532370i | \(0.983046\pi\) | |||||||
\(458\) | −7.25608 | − | 8.05869i | −0.339054 | − | 0.376558i | ||||
\(459\) | 6.28996 | − | 10.8945i | 0.293590 | − | 0.508513i | ||||
\(460\) | 0.131943 | + | 0.406079i | 0.00615187 | + | 0.0189335i | ||||
\(461\) | 9.63267 | + | 6.99854i | 0.448638 | + | 0.325955i | 0.789058 | − | 0.614319i | \(-0.210569\pi\) |
−0.340420 | + | 0.940274i | \(0.610569\pi\) | |||||||
\(462\) | 0.874063 | + | 0.185788i | 0.0406651 | + | 0.00864363i | ||||
\(463\) | −17.2984 | − | 19.2118i | −0.803923 | − | 0.892847i | 0.192151 | − | 0.981365i | \(-0.438454\pi\) |
−0.996075 | + | 0.0885182i | \(0.971787\pi\) | |||||||
\(464\) | −0.849246 | + | 2.61371i | −0.0394253 | + | 0.121339i | ||||
\(465\) | −4.50630 | + | 3.27402i | −0.208974 | + | 0.151829i | ||||
\(466\) | −8.89699 | + | 9.88111i | −0.412145 | + | 0.457733i | ||||
\(467\) | −16.8916 | − | 29.2571i | −0.781650 | − | 1.35386i | −0.930980 | − | 0.365070i | \(-0.881045\pi\) |
0.149330 | − | 0.988787i | \(-0.452288\pi\) | |||||||
\(468\) | 1.36707 | − | 4.20739i | 0.0631926 | − | 0.194487i | ||||
\(469\) | −2.68969 | − | 0.571712i | −0.124199 | − | 0.0263992i | ||||
\(470\) | 0.674803 | − | 6.42032i | 0.0311263 | − | 0.296147i | ||||
\(471\) | −1.64397 | − | 15.6413i | −0.0757500 | − | 0.720713i | ||||
\(472\) | 6.33270 | − | 1.34606i | 0.291486 | − | 0.0619573i | ||||
\(473\) | −1.46593 | + | 13.9474i | −0.0674037 | + | 0.641304i | ||||
\(474\) | 4.23670 | − | 7.33818i | 0.194598 | − | 0.337054i | ||||
\(475\) | 7.72390 | + | 13.3782i | 0.354397 | + | 0.613834i | ||||
\(476\) | 1.17157 | − | 0.521617i | 0.0536988 | − | 0.0239083i | ||||
\(477\) | 2.14388 | 0.0981616 | ||||||||
\(478\) | −15.8260 | + | 7.04621i | −0.723866 | + | 0.322286i | ||||
\(479\) | −18.8712 | + | 13.7107i | −0.862247 | + | 0.626459i | −0.928495 | − | 0.371344i | \(-0.878897\pi\) |
0.0662483 | + | 0.997803i | \(0.478897\pi\) | |||||||
\(480\) | −1.14813 | − | 0.834164i | −0.0524046 | − | 0.0380742i | ||||
\(481\) | −8.74050 | + | 1.85785i | −0.398533 | + | 0.0847107i | ||||
\(482\) | −4.73444 | − | 2.10791i | −0.215648 | − | 0.0960127i | ||||
\(483\) | 0.0771950 | + | 0.0343694i | 0.00351250 | + | 0.00156386i | ||||
\(484\) | 0.470700 | + | 4.47841i | 0.0213955 | + | 0.203564i | ||||
\(485\) | −6.12646 | − | 18.8553i | −0.278188 | − | 0.856175i | ||||
\(486\) | 10.5659 | − | 11.7346i | 0.479277 | − | 0.532292i | ||||
\(487\) | −16.4580 | −0.745785 | −0.372892 | − | 0.927875i | \(-0.621634\pi\) | ||||
−0.372892 | + | 0.927875i | \(0.621634\pi\) | |||||||
\(488\) | −5.89312 | + | 5.12554i | −0.266769 | + | 0.232022i | ||||
\(489\) | 3.06379 | 0.138549 | ||||||||
\(490\) | 8.07034 | − | 8.96302i | 0.364581 | − | 0.404908i | ||||
\(491\) | −11.4636 | − | 35.2813i | −0.517345 | − | 1.59222i | −0.778974 | − | 0.627056i | \(-0.784260\pi\) |
0.261629 | − | 0.965168i | \(-0.415740\pi\) | |||||||
\(492\) | −0.287575 | − | 2.73610i | −0.0129649 | − | 0.123353i | ||||
\(493\) | 7.35763 | + | 3.27583i | 0.331371 | + | 0.147536i | ||||
\(494\) | 14.2186 | + | 6.33051i | 0.639723 | + | 0.284823i | ||||
\(495\) | 10.4152 | − | 2.21381i | 0.468127 | − | 0.0995035i | ||||
\(496\) | 3.17532 | + | 2.30700i | 0.142576 | + | 0.103587i | ||||
\(497\) | 2.86608 | − | 2.08233i | 0.128561 | − | 0.0934051i | ||||
\(498\) | −10.3462 | + | 4.60644i | −0.463625 | + | 0.206419i | ||||
\(499\) | −24.5094 | −1.09719 | −0.548597 | − | 0.836087i | \(-0.684838\pi\) | ||||
−0.548597 | + | 0.836087i | \(0.684838\pi\) | |||||||
\(500\) | −11.1047 | + | 4.94414i | −0.496618 | + | 0.221109i | ||||
\(501\) | −6.52691 | − | 11.3049i | −0.291601 | − | 0.505067i | ||||
\(502\) | −4.25687 | + | 7.37311i | −0.189993 | + | 0.329078i | ||||
\(503\) | 1.66860 | − | 15.8757i | 0.0743994 | − | 0.707863i | −0.892212 | − | 0.451617i | \(-0.850847\pi\) |
0.966611 | − | 0.256246i | \(-0.0824859\pi\) | |||||||
\(504\) | 1.00940 | − | 0.214555i | 0.0449624 | − | 0.00955706i | ||||
\(505\) | 2.32281 | + | 22.1001i | 0.103364 | + | 0.983441i | ||||
\(506\) | 0.0642189 | − | 0.611002i | 0.00285488 | − | 0.0271623i | ||||
\(507\) | −7.42930 | − | 1.57915i | −0.329947 | − | 0.0701324i | ||||
\(508\) | 4.29847 | − | 13.2293i | 0.190714 | − | 0.586956i | ||||
\(509\) | 19.2460 | + | 33.3350i | 0.853063 | + | 1.47755i | 0.878430 | + | 0.477870i | \(0.158591\pi\) |
−0.0253674 | + | 0.999678i | \(0.508076\pi\) | |||||||
\(510\) | −2.78292 | + | 3.09074i | −0.123230 | + | 0.136860i | ||||
\(511\) | 5.64900 | − | 4.10424i | 0.249897 | − | 0.181561i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 23.8303 | + | 26.4662i | 1.05213 | + | 1.16851i | ||||
\(514\) | 24.2984 | + | 5.16478i | 1.07176 | + | 0.227809i | ||||
\(515\) | −4.57970 | − | 3.32734i | −0.201806 | − | 0.146620i | ||||
\(516\) | −1.36211 | − | 4.19214i | −0.0599635 | − | 0.184549i | ||||
\(517\) | −4.64448 | + | 8.04447i | −0.204264 | + | 0.353795i | ||||
\(518\) | −1.39475 | − | 1.54903i | −0.0612818 | − | 0.0680604i | ||||
\(519\) | 8.56763 | + | 9.51532i | 0.376077 | + | 0.417676i | ||||
\(520\) | −1.66160 | + | 2.87798i | −0.0728662 | + | 0.126208i | ||||
\(521\) | −3.91569 | − | 12.0512i | −0.171549 | − | 0.527975i | 0.827910 | − | 0.560861i | \(-0.189530\pi\) |
−0.999459 | + | 0.0328867i | \(0.989530\pi\) | |||||||
\(522\) | 5.24310 | + | 3.80933i | 0.229484 | + | 0.166730i | ||||
\(523\) | −6.62018 | − | 1.40716i | −0.289480 | − | 0.0615309i | 0.0608828 | − | 0.998145i | \(-0.480608\pi\) |
−0.350363 | + | 0.936614i | \(0.613942\pi\) | |||||||
\(524\) | 5.85832 | + | 6.50632i | 0.255922 | + | 0.284230i | ||||
\(525\) | −0.201714 | + | 0.620812i | −0.00880353 | + | 0.0270945i | ||||
\(526\) | 8.30103 | − | 6.03105i | 0.361942 | − | 0.262966i | ||||
\(527\) | 7.69656 | − | 8.54790i | 0.335268 | − | 0.372352i | ||||
\(528\) | 1.02100 | + | 1.76843i | 0.0444334 | + | 0.0769610i | ||||
\(529\) | −7.08944 | + | 21.8190i | −0.308236 | + | 0.948654i | ||||
\(530\) | −1.57527 | − | 0.334835i | −0.0684255 | − | 0.0145443i | ||||
\(531\) | 1.59587 | − | 15.1837i | 0.0692550 | − | 0.658917i | ||||
\(532\) | 0.379502 | + | 3.61072i | 0.0164535 | + | 0.156544i | ||||
\(533\) | −6.30153 | + | 1.33943i | −0.272950 | + | 0.0580172i | ||||
\(534\) | 0.569622 | − | 5.41959i | 0.0246500 | − | 0.234529i | ||||
\(535\) | −7.41713 | + | 12.8468i | −0.320671 | + | 0.555418i | ||||
\(536\) | −3.14186 | − | 5.44186i | −0.135708 | − | 0.235053i | ||||
\(537\) | 4.16914 | − | 1.85622i | 0.179912 | − | 0.0801019i | ||||
\(538\) | −3.60159 | −0.155276 | ||||||||
\(539\) | −15.8539 | + | 7.05860i | −0.682875 | + | 0.304035i | ||||
\(540\) | −6.15189 | + | 4.46961i | −0.264735 | + | 0.192341i | ||||
\(541\) | 22.5401 | + | 16.3764i | 0.969076 | + | 0.704075i | 0.955241 | − | 0.295829i | \(-0.0955959\pi\) |
0.0138353 | + | 0.999904i | \(0.495596\pi\) | |||||||
\(542\) | 4.80783 | − | 1.02194i | 0.206514 | − | 0.0438959i | ||||
\(543\) | −18.2286 | − | 8.11589i | −0.782264 | − | 0.348286i | ||||
\(544\) | 2.67724 | + | 1.19198i | 0.114786 | + | 0.0511058i | ||||
\(545\) | −2.11855 | − | 20.1566i | −0.0907486 | − | 0.863416i | ||||
\(546\) | 0.203233 | + | 0.625488i | 0.00869759 | + | 0.0267684i | ||||
\(547\) | −18.7103 | + | 20.7799i | −0.799995 | + | 0.888484i | −0.995743 | − | 0.0921697i | \(-0.970620\pi\) |
0.195748 | + | 0.980654i | \(0.437286\pi\) | |||||||
\(548\) | 11.6053 | 0.495755 | ||||||||
\(549\) | 7.20098 | + | 16.9520i | 0.307330 | + | 0.723494i | ||||
\(550\) | 4.74595 | 0.202368 | ||||||||
\(551\) | −15.2567 | + | 16.9442i | −0.649956 | + | 0.721849i | ||||
\(552\) | 0.0596705 | + | 0.183647i | 0.00253975 | + | 0.00781654i | ||||
\(553\) | −0.483805 | − | 4.60310i | −0.0205735 | − | 0.195744i | ||||
\(554\) | 15.4518 | + | 6.87957i | 0.656483 | + | 0.292285i | ||||
\(555\) | 6.17543 | + | 2.74948i | 0.262132 | + | 0.116709i | ||||
\(556\) | 9.56711 | − | 2.03355i | 0.405736 | − | 0.0862418i | ||||
\(557\) | 29.6649 | + | 21.5528i | 1.25694 | + | 0.913221i | 0.998603 | − | 0.0528343i | \(-0.0168255\pi\) |
0.258337 | + | 0.966055i | \(0.416826\pi\) | |||||||
\(558\) | 7.48800 | − | 5.44035i | 0.316992 | − | 0.230308i | ||||
\(559\) | −9.42941 | + | 4.19824i | −0.398821 | + | 0.177567i | ||||
\(560\) | −0.775195 | −0.0327580 | ||||||||
\(561\) | 5.46693 | − | 2.43403i | 0.230814 | − | 0.102765i | ||||
\(562\) | 2.35588 | + | 4.08050i | 0.0993766 | + | 0.172125i | ||||
\(563\) | 19.7773 | − | 34.2553i | 0.833515 | − | 1.44369i | −0.0617184 | − | 0.998094i | \(-0.519658\pi\) |
0.895234 | − | 0.445597i | \(-0.147009\pi\) | |||||||
\(564\) | 0.305176 | − | 2.90356i | 0.0128502 | − | 0.122262i | ||||
\(565\) | 2.62397 | − | 0.557741i | 0.110391 | − | 0.0234643i | ||||
\(566\) | −0.919776 | − | 8.75108i | −0.0386611 | − | 0.367835i | ||||
\(567\) | 0.166302 | − | 1.58225i | 0.00698401 | − | 0.0664484i | ||||
\(568\) | 7.91868 | + | 1.68317i | 0.332260 | + | 0.0706241i | ||||
\(569\) | −4.66681 | + | 14.3630i | −0.195643 | + | 0.602126i | 0.804326 | + | 0.594189i | \(0.202527\pi\) |
−0.999968 | + | 0.00793774i | \(0.997473\pi\) | |||||||
\(570\) | −5.88708 | − | 10.1967i | −0.246583 | − | 0.427094i | ||||
\(571\) | −5.45267 | + | 6.05580i | −0.228187 | + | 0.253428i | −0.846356 | − | 0.532618i | \(-0.821208\pi\) |
0.618169 | + | 0.786046i | \(0.287875\pi\) | |||||||
\(572\) | 3.86847 | − | 2.81061i | 0.161749 | − | 0.117517i | ||||
\(573\) | 5.66132 | − | 17.4238i | 0.236505 | − | 0.727888i | ||||
\(574\) | −1.00556 | − | 1.11678i | −0.0419711 | − | 0.0466136i | ||||
\(575\) | 0.438983 | + | 0.0933088i | 0.0183069 | + | 0.00389125i | ||||
\(576\) | 1.90782 | + | 1.38611i | 0.0794923 | + | 0.0577546i | ||||
\(577\) | 12.7318 | + | 39.1844i | 0.530031 | + | 1.63127i | 0.754148 | + | 0.656705i | \(0.228050\pi\) |
−0.224117 | + | 0.974562i | \(0.571950\pi\) | |||||||
\(578\) | −4.20579 | + | 7.28464i | −0.174938 | + | 0.303001i | ||||
\(579\) | 7.09716 | + | 7.88220i | 0.294948 | + | 0.327573i | ||||
\(580\) | −3.25756 | − | 3.61788i | −0.135263 | − | 0.150224i | ||||
\(581\) | −3.09314 | + | 5.35748i | −0.128325 | + | 0.222266i | ||||
\(582\) | −2.77066 | − | 8.52721i | −0.114847 | − | 0.353464i | ||||
\(583\) | 1.87471 | + | 1.36205i | 0.0776424 | + | 0.0564105i | ||||
\(584\) | 15.6076 | + | 3.31750i | 0.645848 | + | 0.137279i | ||||
\(585\) | 5.24381 | + | 5.82385i | 0.216805 | + | 0.240786i | ||||
\(586\) | 9.60098 | − | 29.5488i | 0.396613 | − | 1.22065i | ||||
\(587\) | 5.45328 | − | 3.96204i | 0.225081 | − | 0.163531i | −0.469530 | − | 0.882917i | \(-0.655577\pi\) |
0.694611 | + | 0.719386i | \(0.255577\pi\) | |||||||
\(588\) | 3.64977 | − | 4.05348i | 0.150514 | − | 0.167163i | ||||
\(589\) | 16.2816 | + | 28.2005i | 0.670871 | + | 1.16198i | ||||
\(590\) | −3.54402 | + | 10.9074i | −0.145905 | + | 0.449050i | ||||
\(591\) | −17.8417 | − | 3.79237i | −0.733910 | − | 0.155997i | ||||
\(592\) | 0.497896 | − | 4.73716i | 0.0204634 | − | 0.194696i | ||||
\(593\) | −3.96330 | − | 37.7082i | −0.162753 | − | 1.54849i | −0.705570 | − | 0.708641i | \(-0.749309\pi\) |
0.542817 | − | 0.839851i | \(-0.317358\pi\) | |||||||
\(594\) | 10.7024 | − | 2.27486i | 0.439123 | − | 0.0933385i | ||||
\(595\) | −0.237466 | + | 2.25934i | −0.00973518 | + | 0.0926240i | ||||
\(596\) | −9.57506 | + | 16.5845i | −0.392210 | + | 0.679327i | ||||
\(597\) | 0.206047 | + | 0.356883i | 0.00843293 | + | 0.0146063i | ||||
\(598\) | 0.413078 | − | 0.183914i | 0.0168920 | − | 0.00752082i | ||||
\(599\) | 36.7292 | 1.50072 | 0.750358 | − | 0.661032i | \(-0.229881\pi\) | ||||
0.750358 | + | 0.661032i | \(0.229881\pi\) | |||||||
\(600\) | −1.36271 | + | 0.606716i | −0.0556323 | + | 0.0247691i | ||||
\(601\) | −11.8591 | + | 8.61618i | −0.483745 | + | 0.351461i | −0.802774 | − | 0.596284i | \(-0.796643\pi\) |
0.319029 | + | 0.947745i | \(0.396643\pi\) | |||||||
\(602\) | −1.94789 | − | 1.41523i | −0.0793903 | − | 0.0576804i | ||||
\(603\) | −14.4944 | + | 3.08088i | −0.590257 | + | 0.125463i | ||||
\(604\) | −21.1489 | − | 9.41610i | −0.860536 | − | 0.383136i | ||||
\(605\) | −7.28735 | − | 3.24454i | −0.296273 | − | 0.131909i | ||||
\(606\) | 1.05048 | + | 9.99465i | 0.0426728 | + | 0.406005i | ||||
\(607\) | 0.861947 | + | 2.65280i | 0.0349854 | + | 0.107674i | 0.967024 | − | 0.254685i | \(-0.0819716\pi\) |
−0.932039 | + | 0.362358i | \(0.881972\pi\) | |||||||
\(608\) | −5.55147 | + | 6.16554i | −0.225142 | + | 0.250046i | ||||
\(609\) | −0.963465 | −0.0390416 | ||||||||
\(610\) | −2.64352 | − | 13.5806i | −0.107033 | − | 0.549862i | ||||
\(611\) | −6.83661 | −0.276580 | ||||||||
\(612\) | 4.62430 | − | 5.13581i | 0.186926 | − | 0.207603i | ||||
\(613\) | −2.03413 | − | 6.26039i | −0.0821575 | − | 0.252855i | 0.901537 | − | 0.432702i | \(-0.142440\pi\) |
−0.983695 | + | 0.179847i | \(0.942440\pi\) | |||||||
\(614\) | 0.641633 | + | 6.10473i | 0.0258942 | + | 0.246367i | ||||
\(615\) | 4.45222 | + | 1.98226i | 0.179531 | + | 0.0799323i | ||||
\(616\) | 1.01898 | + | 0.453679i | 0.0410559 | + | 0.0182792i | ||||
\(617\) | 14.7566 | − | 3.13661i | 0.594078 | − | 0.126275i | 0.0989456 | − | 0.995093i | \(-0.468453\pi\) |
0.495132 | + | 0.868818i | \(0.335120\pi\) | |||||||
\(618\) | −2.07114 | − | 1.50477i | −0.0833136 | − | 0.0605309i | ||||
\(619\) | 37.2997 | − | 27.0998i | 1.49920 | − | 1.08923i | 0.528506 | − | 0.848930i | \(-0.322752\pi\) |
0.970697 | − | 0.240305i | \(-0.0772475\pi\) | |||||||
\(620\) | −6.35169 | + | 2.82795i | −0.255090 | + | 0.113573i | ||||
\(621\) | 1.03466 | 0.0415193 | ||||||||
\(622\) | −13.0621 | + | 5.81560i | −0.523741 | + | 0.233184i | ||||
\(623\) | −1.48834 | − | 2.57787i | −0.0596289 | − | 0.103280i | ||||
\(624\) | −0.751452 | + | 1.30155i | −0.0300821 | + | 0.0521038i | ||||
\(625\) | 1.27769 | − | 12.1564i | 0.0511075 | − | 0.486255i | ||||
\(626\) | −7.97584 | + | 1.69532i | −0.318779 | + | 0.0677585i | ||||
\(627\) | 1.77088 | + | 16.8488i | 0.0707221 | + | 0.672876i | ||||
\(628\) | 2.05206 | − | 19.5240i | 0.0818860 | − | 0.779094i | ||||
\(629\) | −13.6542 | − | 2.90228i | −0.544427 | − | 0.115722i | ||||
\(630\) | −0.564901 | + | 1.73859i | −0.0225062 | + | 0.0692670i | ||||
\(631\) | −10.4056 | − | 18.0230i | −0.414239 | − | 0.717483i | 0.581109 | − | 0.813826i | \(-0.302619\pi\) |
−0.995348 | + | 0.0963426i | \(0.969286\pi\) | |||||||
\(632\) | 7.07727 | − | 7.86010i | 0.281519 | − | 0.312658i | ||||
\(633\) | 14.9630 | − | 10.8713i | 0.594726 | − | 0.432094i | ||||
\(634\) | −4.74206 | + | 14.5946i | −0.188331 | + | 0.579624i | ||||
\(635\) | 16.4881 | + | 18.3119i | 0.654312 | + | 0.726687i | ||||
\(636\) | −0.712409 | − | 0.151427i | −0.0282489 | − | 0.00600448i | ||||
\(637\) | −10.3333 | − | 7.50755i | −0.409419 | − | 0.297460i | ||||
\(638\) | 2.16465 | + | 6.66210i | 0.0856993 | + | 0.263755i | ||||
\(639\) | 9.54547 | − | 16.5332i | 0.377613 | − | 0.654045i | ||||
\(640\) | −1.18533 | − | 1.31645i | −0.0468544 | − | 0.0520371i | ||||
\(641\) | −14.6838 | − | 16.3080i | −0.579975 | − | 0.644127i | 0.379743 | − | 0.925092i | \(-0.376012\pi\) |
−0.959718 | + | 0.280965i | \(0.909346\pi\) | |||||||
\(642\) | −3.35436 | + | 5.80992i | −0.132386 | + | 0.229299i | ||||
\(643\) | 5.03823 | + | 15.5061i | 0.198688 | + | 0.611500i | 0.999914 | + | 0.0131374i | \(0.00418187\pi\) |
−0.801225 | + | 0.598363i | \(0.795818\pi\) | |||||||
\(644\) | 0.0853323 | + | 0.0619976i | 0.00336257 | + | 0.00244305i | ||||
\(645\) | 7.63771 | + | 1.62345i | 0.300735 | + | 0.0639231i | ||||
\(646\) | 16.2692 | + | 18.0687i | 0.640101 | + | 0.710905i | ||||
\(647\) | −1.74467 | + | 5.36955i | −0.0685901 | + | 0.211099i | −0.979476 | − | 0.201559i | \(-0.935399\pi\) |
0.910886 | + | 0.412657i | \(0.135399\pi\) | |||||||
\(648\) | 2.94129 | − | 2.13697i | 0.115545 | − | 0.0839482i | ||||
\(649\) | 11.0420 | − | 12.2634i | 0.433438 | − | 0.481382i | ||||
\(650\) | 1.74650 | + | 3.02502i | 0.0685032 | + | 0.118651i | ||||
\(651\) | −0.425203 | + | 1.30864i | −0.0166650 | + | 0.0512897i | ||||
\(652\) | 3.74076 | + | 0.795124i | 0.146500 | + | 0.0311395i | ||||
\(653\) | 1.45471 | − | 13.8407i | 0.0569273 | − | 0.541627i | −0.928476 | − | 0.371392i | \(-0.878881\pi\) |
0.985403 | − | 0.170235i | \(-0.0544527\pi\) | |||||||
\(654\) | −0.958102 | − | 9.11574i | −0.0374648 | − | 0.356453i | ||||
\(655\) | −15.1704 | + | 3.22456i | −0.592755 | + | 0.125994i | ||||
\(656\) | 0.358962 | − | 3.41529i | 0.0140151 | − | 0.133345i | ||||
\(657\) | 18.8140 | − | 32.5868i | 0.734004 | − | 1.27133i | ||||
\(658\) | −0.797379 | − | 1.38110i | −0.0310851 | − | 0.0538409i | ||||
\(659\) | 29.8569 | − | 13.2932i | 1.16306 | − | 0.517828i | 0.267846 | − | 0.963462i | \(-0.413688\pi\) |
0.895215 | + | 0.445634i | \(0.147022\pi\) | |||||||
\(660\) | −3.61732 | −0.140804 | ||||||||
\(661\) | −4.63652 | + | 2.06431i | −0.180340 | + | 0.0802924i | −0.494920 | − | 0.868938i | \(-0.664803\pi\) |
0.314581 | + | 0.949231i | \(0.398136\pi\) | |||||||
\(662\) | 10.4796 | − | 7.61390i | 0.407303 | − | 0.295923i | ||||
\(663\) | 3.56324 | + | 2.58885i | 0.138385 | + | 0.100542i | ||||
\(664\) | −13.8278 | + | 2.93919i | −0.536623 | + | 0.114063i | ||||
\(665\) | −5.87542 | − | 2.61590i | −0.227839 | − | 0.101440i | ||||
\(666\) | −10.2616 | − | 4.56874i | −0.397627 | − | 0.177035i | ||||
\(667\) | 0.0692405 | + | 0.658780i | 0.00268100 | + | 0.0255080i | ||||
\(668\) | −5.03520 | − | 15.4968i | −0.194818 | − | 0.599588i | ||||
\(669\) | −1.91550 | + | 2.12738i | −0.0740576 | + | 0.0822493i | ||||
\(670\) | 11.1313 | 0.430040 | ||||||||
\(671\) | −4.47312 | + | 19.3985i | −0.172683 | + | 0.748872i | ||||
\(672\) | −0.350578 | −0.0135238 | ||||||||
\(673\) | −26.1237 | + | 29.0134i | −1.00700 | + | 1.11838i | −0.0140400 | + | 0.999901i | \(0.504469\pi\) |
−0.992956 | + | 0.118481i | \(0.962197\pi\) | |||||||
\(674\) | 7.15101 | + | 22.0085i | 0.275446 | + | 0.847737i | ||||
\(675\) | 0.835459 | + | 7.94886i | 0.0321568 | + | 0.305952i | ||||
\(676\) | −8.66105 | − | 3.85615i | −0.333117 | − | 0.148313i | ||||
\(677\) | −17.0797 | − | 7.60438i | −0.656427 | − | 0.292260i | 0.0513661 | − | 0.998680i | \(-0.483642\pi\) |
−0.707793 | + | 0.706420i | \(0.750309\pi\) | |||||||
\(678\) | 1.18667 | − | 0.252235i | 0.0455740 | − | 0.00968705i | ||||
\(679\) | −3.96220 | − | 2.87871i | −0.152055 | − | 0.110475i | ||||
\(680\) | −4.19995 | + | 3.05144i | −0.161061 | + | 0.117017i | ||||
\(681\) | 11.1324 | − | 4.95648i | 0.426596 | − | 0.189933i | ||||
\(682\) | 10.0042 | 0.383081 | ||||||||
\(683\) | 8.62877 | − | 3.84178i | 0.330171 | − | 0.147002i | −0.234955 | − | 0.972006i | \(-0.575494\pi\) |
0.565126 | + | 0.825005i | \(0.308828\pi\) | |||||||
\(684\) | 9.78242 | + | 16.9437i | 0.374040 | + | 0.647857i | ||||
\(685\) | −10.2791 | + | 17.8040i | −0.392746 | + | 0.680256i | ||||
\(686\) | 0.631630 | − | 6.00956i | 0.0241157 | − | 0.229446i | ||||
\(687\) | 8.49765 | − | 1.80623i | 0.324205 | − | 0.0689120i | ||||
\(688\) | −0.575123 | − | 5.47193i | −0.0219264 | − | 0.208615i | ||||
\(689\) | −0.178273 | + | 1.69615i | −0.00679164 | + | 0.0646182i | ||||
\(690\) | −0.334589 | − | 0.0711191i | −0.0127376 | − | 0.00270746i | ||||
\(691\) | 2.63707 | − | 8.11607i | 0.100319 | − | 0.308750i | −0.888284 | − | 0.459294i | \(-0.848103\pi\) |
0.988603 | + | 0.150544i | \(0.0481025\pi\) | |||||||
\(692\) | 7.99129 | + | 13.8413i | 0.303783 | + | 0.526168i | ||||
\(693\) | 1.76005 | − | 1.95473i | 0.0668588 | − | 0.0742542i | ||||
\(694\) | −30.0426 | + | 21.8272i | −1.14040 | + | 0.828550i | ||||
\(695\) | −5.35412 | + | 16.4783i | −0.203093 | + | 0.625057i | ||||
\(696\) | −1.47321 | − | 1.63617i | −0.0558420 | − | 0.0620188i | ||||
\(697\) | −9.84407 | − | 2.09242i | −0.372871 | − | 0.0792561i | ||||
\(698\) | −10.6831 | − | 7.76171i | −0.404361 | − | 0.293785i | ||||
\(699\) | −3.29168 | − | 10.1307i | −0.124503 | − | 0.383180i | ||||
\(700\) | −0.407400 | + | 0.705637i | −0.0153983 | + | 0.0266706i | ||||
\(701\) | 9.70998 | + | 10.7840i | 0.366741 | + | 0.407307i | 0.898066 | − | 0.439861i | \(-0.144972\pi\) |
−0.531325 | + | 0.847168i | \(0.678306\pi\) | |||||||
\(702\) | 5.38840 | + | 5.98443i | 0.203372 | + | 0.225868i | ||||
\(703\) | 19.7593 | − | 34.2241i | 0.745236 | − | 1.29079i | ||||
\(704\) | 0.787655 | + | 2.42415i | 0.0296859 | + | 0.0913637i | ||||
\(705\) | 4.18411 | + | 3.03994i | 0.157583 | + | 0.114491i | ||||
\(706\) | 1.08423 | + | 0.230461i | 0.0408056 | + | 0.00867350i | ||||
\(707\) | 3.67318 | + | 4.07948i | 0.138144 | + | 0.153425i | ||||
\(708\) | −1.60277 | + | 4.93281i | −0.0602356 | + | 0.185386i | ||||
\(709\) | 0.537236 | − | 0.390325i | 0.0201763 | − | 0.0146590i | −0.577651 | − | 0.816284i | \(-0.696031\pi\) |
0.597828 | + | 0.801625i | \(0.296031\pi\) | |||||||
\(710\) | −9.59597 | + | 10.6574i | −0.360130 | + | 0.399965i | ||||
\(711\) | −12.4711 | − | 21.6005i | −0.467701 | − | 0.810083i | ||||
\(712\) | 2.10199 | − | 6.46927i | 0.0787756 | − | 0.242446i | ||||
\(713\) | 0.925355 | + | 0.196690i | 0.0346548 | + | 0.00736611i | ||||
\(714\) | −0.107393 | + | 1.02178i | −0.00401908 | + | 0.0382390i | ||||
\(715\) | 0.885413 | + | 8.42414i | 0.0331126 | + | 0.315045i | ||||
\(716\) | 5.57209 | − | 1.18438i | 0.208239 | − | 0.0442625i | ||||
\(717\) | 1.45071 | − | 13.8026i | 0.0541777 | − | 0.515466i | ||||
\(718\) | −15.8411 | + | 27.4375i | −0.591183 | + | 1.02396i | ||||
\(719\) | 6.10767 | + | 10.5788i | 0.227778 | + | 0.394522i | 0.957149 | − | 0.289595i | \(-0.0935208\pi\) |
−0.729372 | + | 0.684118i | \(0.760187\pi\) | |||||||
\(720\) | −3.81627 | + | 1.69911i | −0.142224 | + | 0.0633221i | ||||
\(721\) | −1.39840 | −0.0520791 | ||||||||
\(722\) | −45.5245 | + | 20.2688i | −1.69425 | + | 0.754326i | ||||
\(723\) | 3.35892 | − | 2.44040i | 0.124920 | − | 0.0907594i | ||||
\(724\) | −20.1501 | − | 14.6399i | −0.748873 | − | 0.544088i | ||||
\(725\) | −5.00524 | + | 1.06390i | −0.185890 | + | 0.0395121i | ||||
\(726\) | −3.29566 | − | 1.46732i | −0.122314 | − | 0.0544575i | ||||
\(727\) | −8.66544 | − | 3.85810i | −0.321384 | − | 0.143089i | 0.239703 | − | 0.970846i | \(-0.422950\pi\) |
−0.561087 | + | 0.827757i | \(0.689617\pi\) | |||||||
\(728\) | 0.0858112 | + | 0.816439i | 0.00318038 | + | 0.0302593i | ||||
\(729\) | 0.538710 | + | 1.65798i | 0.0199522 | + | 0.0614066i | ||||
\(730\) | −18.9135 | + | 21.0056i | −0.700022 | + | 0.777453i | ||||
\(731\) | −16.1244 | −0.596381 | ||||||||
\(732\) | −1.19552 | − | 6.14175i | −0.0441876 | − | 0.227006i | ||||
\(733\) | −2.49577 | −0.0921833 | −0.0460917 | − | 0.998937i | \(-0.514677\pi\) | ||||
−0.0460917 | + | 0.998937i | \(0.514677\pi\) | |||||||
\(734\) | 11.1291 | − | 12.3601i | 0.410783 | − | 0.456220i | ||||
\(735\) | 2.98584 | + | 9.18947i | 0.110134 | + | 0.338959i | ||||
\(736\) | 0.0251947 | + | 0.239711i | 0.000928688 | + | 0.00883588i | ||||
\(737\) | −14.6319 | − | 6.51454i | −0.538973 | − | 0.239966i | ||||
\(738\) | −7.39814 | − | 3.29387i | −0.272329 | − | 0.121249i | ||||
\(739\) | −13.4744 | + | 2.86406i | −0.495662 | + | 0.105356i | −0.448959 | − | 0.893553i | \(-0.648205\pi\) |
−0.0467035 | + | 0.998909i | \(0.514872\pi\) | |||||||
\(740\) | 6.82639 | + | 4.95966i | 0.250943 | + | 0.182321i | ||||
\(741\) | −10.0876 | + | 7.32904i | −0.370576 | + | 0.269239i | ||||
\(742\) | −0.363441 | + | 0.161814i | −0.0133423 | + | 0.00594039i | ||||
\(743\) | −47.1781 | −1.73080 | −0.865398 | − | 0.501084i | \(-0.832935\pi\) | ||||
−0.865398 | + | 0.501084i | \(0.832935\pi\) | |||||||
\(744\) | −2.87252 | + | 1.27893i | −0.105312 | + | 0.0468877i | ||||
\(745\) | −16.9618 | − | 29.3786i | −0.621431 | − | 1.07635i | ||||
\(746\) | −6.89411 | + | 11.9409i | −0.252411 | + | 0.437189i | ||||
\(747\) | −3.48467 | + | 33.1544i | −0.127497 | + | 1.21306i | ||||
\(748\) | 7.30659 | − | 1.55306i | 0.267155 | − | 0.0567856i | ||||
\(749\) | 0.383047 | + | 3.64445i | 0.0139962 | + | 0.133165i | ||||
\(750\) | 1.01792 | − | 9.68490i | 0.0371693 | − | 0.353642i | ||||
\(751\) | 52.9761 | + | 11.2604i | 1.93313 | + | 0.410899i | 0.998467 | + | 0.0553543i | \(0.0176288\pi\) |
0.934659 | + | 0.355544i | \(0.115704\pi\) | |||||||
\(752\) | 1.12615 | − | 3.46593i | 0.0410664 | − | 0.126389i | ||||
\(753\) | −3.41030 | − | 5.90682i | −0.124278 | − | 0.215257i | ||||
\(754\) | −3.44977 | + | 3.83136i | −0.125633 | + | 0.139530i | ||||
\(755\) | 33.1776 | − | 24.1049i | 1.20746 | − | 0.877268i | ||||
\(756\) | −0.580477 | + | 1.78653i | −0.0211118 | + | 0.0649753i | ||||
\(757\) | −28.9960 | − | 32.2033i | −1.05388 | − | 1.17045i | −0.984952 | − | 0.172827i | \(-0.944710\pi\) |
−0.0689252 | − | 0.997622i | \(-0.521957\pi\) | |||||||
\(758\) | 16.7630 | + | 3.56309i | 0.608861 | + | 0.129417i | ||||
\(759\) | 0.398189 | + | 0.289301i | 0.0144533 | + | 0.0105010i | ||||
\(760\) | −4.54161 | − | 13.9776i | −0.164741 | − | 0.507022i | ||||
\(761\) | −10.9880 | + | 19.0318i | −0.398315 | + | 0.689901i | −0.993518 | − | 0.113674i | \(-0.963738\pi\) |
0.595204 | + | 0.803575i | \(0.297071\pi\) | |||||||
\(762\) | 7.45668 | + | 8.28148i | 0.270127 | + | 0.300006i | ||||
\(763\) | −3.35017 | − | 3.72074i | −0.121284 | − | 0.134700i | ||||
\(764\) | 11.4341 | − | 19.8045i | 0.413672 | − | 0.716500i | ||||
\(765\) | 3.78310 | + | 11.6432i | 0.136778 | + | 0.420960i | ||||
\(766\) | 2.87648 | + | 2.08988i | 0.103931 | + | 0.0755106i | ||||
\(767\) | 11.8800 | + | 2.52518i | 0.428963 | + | 0.0911788i | ||||
\(768\) | −0.536061 | − | 0.595356i | −0.0193434 | − | 0.0214831i | ||||
\(769\) | 5.22958 | − | 16.0950i | 0.188583 | − | 0.580400i | −0.811408 | − | 0.584480i | \(-0.801299\pi\) |
0.999992 | + | 0.00407974i | \(0.00129862\pi\) | |||||||
\(770\) | −1.59854 | + | 1.16140i | −0.0576073 | + | 0.0418541i | ||||
\(771\) | −13.3164 | + | 14.7894i | −0.479579 | + | 0.532626i | ||||
\(772\) | 6.61974 | + | 11.4657i | 0.238250 | + | 0.412660i | ||||
\(773\) | −4.44349 | + | 13.6757i | −0.159821 | + | 0.491879i | −0.998617 | − | 0.0525663i | \(-0.983260\pi\) |
0.838796 | + | 0.544446i | \(0.183260\pi\) | |||||||
\(774\) | −12.6914 | − | 2.69764i | −0.456183 | − | 0.0969647i | ||||
\(775\) | −0.763894 | + | 7.26797i | −0.0274399 | + | 0.261073i | ||||
\(776\) | −1.16985 | − | 11.1304i | −0.0419953 | − | 0.399559i | ||||
\(777\) | 1.63340 | − | 0.347190i | 0.0585980 | − | 0.0124554i | ||||
\(778\) | 2.22422 | − | 21.1621i | 0.0797422 | − | 0.758696i | ||||
\(779\) | 14.2456 | − | 24.6741i | 0.510402 | − | 0.884043i | ||||
\(780\) | −1.33116 | − | 2.30564i | −0.0476632 | − | 0.0825551i | ||||
\(781\) | 18.8509 | − | 8.39296i | 0.674538 | − | 0.300324i | ||||
\(782\) | 0.706368 | 0.0252597 | ||||||||
\(783\) | −10.7771 | + | 4.79828i | −0.385143 | + | 0.171477i | ||||
\(784\) | 5.50819 | − | 4.00194i | 0.196721 | − | 0.142926i | ||||
\(785\) | 28.1347 | + | 20.4411i | 1.00417 | + | 0.729573i | ||||
\(786\) | −6.86072 | + | 1.45829i | −0.244714 | + | 0.0520155i | ||||
\(787\) | −16.4325 | − | 7.31624i | −0.585757 | − | 0.260796i | 0.0923890 | − | 0.995723i | \(-0.470550\pi\) |
−0.678146 | + | 0.734927i | \(0.737216\pi\) | |||||||
\(788\) | −20.7998 | − | 9.26067i | −0.740962 | − | 0.329898i | ||||
\(789\) | 0.859235 | + | 8.17507i | 0.0305896 | + | 0.291040i | ||||
\(790\) | 5.78984 | + | 17.8193i | 0.205993 | + | 0.633982i | ||||
\(791\) | 0.443421 | − | 0.492469i | 0.0157663 | − | 0.0175102i | ||||
\(792\) | 6.01080 | 0.213585 | ||||||||
\(793\) | −14.0105 | + | 4.28749i | −0.497528 | + | 0.152253i | ||||
\(794\) | 3.41012 | 0.121021 | ||||||||
\(795\) | 0.863308 | − | 0.958800i | 0.0306184 | − | 0.0340051i | ||||
\(796\) | 0.158955 | + | 0.489214i | 0.00563402 | + | 0.0173397i | ||||
\(797\) | 2.27040 | + | 21.6014i | 0.0804218 | + | 0.765162i | 0.958201 | + | 0.286096i | \(0.0923578\pi\) |
−0.877779 | + | 0.479066i | \(0.840976\pi\) | |||||||
\(798\) | −2.65713 | − | 1.18303i | −0.0940613 | − | 0.0418788i | ||||
\(799\) | −9.75663 | − | 4.34393i | −0.345165 | − | 0.153677i | ||||
\(800\) | −1.82127 | + | 0.387122i | −0.0643915 | + | 0.0136868i | ||||
\(801\) | −12.9773 | − | 9.42859i | −0.458532 | − | 0.333143i | ||||
\(802\) | 24.2389 | − | 17.6106i | 0.855905 | − | 0.621851i | ||||
\(803\) | 37.1549 | − | 16.5424i | 1.31117 | − | 0.583770i | ||||
\(804\) | 5.03408 | 0.177538 | ||||||||
\(805\) | −0.170693 | + | 0.0759974i | −0.00601614 | + | 0.00267856i | ||||
\(806\) | 3.68152 | + | 6.37658i | 0.129676 | + | 0.224606i | ||||
\(807\) | 1.44267 | − | 2.49878i | 0.0507844 | − | 0.0879612i | ||||
\(808\) | −1.31125 | + | 12.4757i | −0.0461295 | + | 0.438893i | ||||
\(809\) | −16.1311 | + | 3.42877i | −0.567139 | + | 0.120549i | −0.482553 | − | 0.875867i | \(-0.660290\pi\) |
−0.0845866 | + | 0.996416i | \(0.526957\pi\) | |||||||
\(810\) | 0.673200 | + | 6.40507i | 0.0236538 | + | 0.225051i | ||||
\(811\) | 0.343330 | − | 3.26657i | 0.0120560 | − | 0.114705i | −0.986839 | − | 0.161707i | \(-0.948300\pi\) |
0.998895 | + | 0.0470021i | \(0.0149667\pi\) | |||||||
\(812\) | −1.17635 | − | 0.250041i | −0.0412819 | − | 0.00877473i | ||||
\(813\) | −1.21683 | + | 3.74502i | −0.0426762 | + | 0.131344i | ||||
\(814\) | −6.07055 | − | 10.5145i | −0.212773 | − | 0.368533i | ||||
\(815\) | −4.53311 | + | 5.03453i | −0.158788 | + | 0.176352i | ||||
\(816\) | −1.89940 | + | 1.38000i | −0.0664924 | + | 0.0483096i | ||||
\(817\) | 14.1061 | − | 43.4140i | 0.493509 | − | 1.51886i | ||||
\(818\) | −15.0665 | − | 16.7331i | −0.526789 | − | 0.585059i | ||||
\(819\) | 1.89362 | + | 0.402501i | 0.0661684 | + | 0.0140645i | ||||
\(820\) | 4.92154 | + | 3.57571i | 0.171868 | + | 0.124869i | ||||
\(821\) | −12.0643 | − | 37.1302i | −0.421048 | − | 1.29585i | −0.906728 | − | 0.421716i | \(-0.861428\pi\) |
0.485680 | − | 0.874137i | \(-0.338572\pi\) | |||||||
\(822\) | −4.64869 | + | 8.05177i | −0.162142 | + | 0.280838i | ||||
\(823\) | 24.7273 | + | 27.4624i | 0.861938 | + | 0.957279i | 0.999448 | − | 0.0332209i | \(-0.0105765\pi\) |
−0.137510 | + | 0.990500i | \(0.543910\pi\) | |||||||
\(824\) | −2.13826 | − | 2.37478i | −0.0744898 | − | 0.0827293i | ||||
\(825\) | −1.90106 | + | 3.29274i | −0.0661865 | + | 0.114638i | ||||
\(826\) | 0.875485 | + | 2.69447i | 0.0304620 | + | 0.0937525i | ||||
\(827\) | −0.0324040 | − | 0.0235429i | −0.00112680 | − | 0.000818666i | 0.587222 | − | 0.809426i | \(-0.300222\pi\) |
−0.588349 | + | 0.808607i | \(0.700222\pi\) | |||||||
\(828\) | 0.555978 | + | 0.118177i | 0.0193216 | + | 0.00410693i | ||||
\(829\) | −23.6420 | − | 26.2571i | −0.821121 | − | 0.911947i | 0.176255 | − | 0.984345i | \(-0.443602\pi\) |
−0.997376 | + | 0.0723976i | \(0.976935\pi\) | |||||||
\(830\) | 7.73856 | − | 23.8169i | 0.268610 | − | 0.826695i | ||||
\(831\) | −10.9625 | + | 7.96471i | −0.380284 | + | 0.276293i | ||||
\(832\) | −1.25528 | + | 1.39412i | −0.0435188 | + | 0.0483326i | ||||
\(833\) | −9.97650 | − | 17.2798i | −0.345665 | − | 0.598710i | ||||
\(834\) | −2.42137 | + | 7.45222i | −0.0838453 | + | 0.258049i | ||||
\(835\) | 28.2337 | + | 6.00127i | 0.977069 | + | 0.207682i | ||||
\(836\) | −2.21048 | + | 21.0313i | −0.0764509 | + | 0.727382i | ||||
\(837\) | 1.76110 | + | 16.7558i | 0.0608727 | + | 0.579165i | ||||
\(838\) | 6.20446 | − | 1.31880i | 0.214329 | − | 0.0455571i | ||||
\(839\) | −2.48380 | + | 23.6318i | −0.0857504 | + | 0.815860i | 0.864135 | + | 0.503261i | \(0.167866\pi\) |
−0.949885 | + | 0.312600i | \(0.898800\pi\) | |||||||
\(840\) | 0.310516 | − | 0.537830i | 0.0107138 | − | 0.0185569i | ||||
\(841\) | 10.7236 | + | 18.5739i | 0.369781 | + | 0.640479i | ||||
\(842\) | −0.233180 | + | 0.103818i | −0.00803592 | + | 0.00357782i | ||||
\(843\) | −3.77473 | −0.130008 | ||||||||
\(844\) | 21.0906 | − | 9.39012i | 0.725967 | − | 0.323221i | ||||
\(845\) | 13.5871 | − | 9.87163i | 0.467411 | − | 0.339594i | ||||
\(846\) | −6.95264 | − | 5.05139i | −0.239037 | − | 0.173670i | ||||
\(847\) | −1.92751 | + | 0.409704i | −0.0662299 | + | 0.0140776i | ||||
\(848\) | −0.830524 | − | 0.369773i | −0.0285203 | − | 0.0126981i | ||||
\(849\) | 6.43992 | + | 2.86724i | 0.221018 | + | 0.0984034i | ||||
\(850\) | 0.570375 | + | 5.42676i | 0.0195637 | + | 0.186136i | ||||
\(851\) | −0.354781 | − | 1.09190i | −0.0121618 | − | 0.0374300i | ||||
\(852\) | −4.33973 | + | 4.81975i | −0.148677 | + | 0.165122i | ||||
\(853\) | 11.7167 | 0.401171 | 0.200586 | − | 0.979676i | \(-0.435715\pi\) | ||||
0.200586 | + | 0.979676i | \(0.435715\pi\) | |||||||
\(854\) | −2.50023 | − | 2.33027i | −0.0855563 | − | 0.0797403i | ||||
\(855\) | −34.6582 | −1.18529 | ||||||||
\(856\) | −5.60334 | + | 6.22314i | −0.191518 | + | 0.212703i | ||||
\(857\) | 10.5964 | + | 32.6123i | 0.361965 | + | 1.11401i | 0.951860 | + | 0.306534i | \(0.0991694\pi\) |
−0.589894 | + | 0.807480i | \(0.700831\pi\) | |||||||
\(858\) | 0.400423 | + | 3.80977i | 0.0136702 | + | 0.130064i | ||||
\(859\) | −5.18791 | − | 2.30981i | −0.177009 | − | 0.0788096i | 0.316319 | − | 0.948653i | \(-0.397553\pi\) |
−0.493328 | + | 0.869843i | \(0.664220\pi\) | |||||||
\(860\) | 8.90401 | + | 3.96432i | 0.303624 | + | 0.135182i | ||||
\(861\) | 1.17761 | − | 0.250310i | 0.0401330 | − | 0.00853053i | ||||
\(862\) | −15.4742 | − | 11.2426i | −0.527052 | − | 0.382926i | ||||
\(863\) | 3.59992 | − | 2.61550i | 0.122543 | − | 0.0890326i | −0.524826 | − | 0.851210i | \(-0.675869\pi\) |
0.647369 | + | 0.762177i | \(0.275869\pi\) | |||||||
\(864\) | −3.92149 | + | 1.74596i | −0.133412 | + | 0.0593988i | ||||
\(865\) | −28.3124 | −0.962649 | ||||||||
\(866\) | 23.4274 | − | 10.4305i | 0.796094 | − | 0.354444i | ||||
\(867\) | −3.36939 | − | 5.83595i | −0.114430 | − | 0.198199i | ||||
\(868\) | −0.858778 | + | 1.48745i | −0.0291488 | + | 0.0504873i | ||||
\(869\) | 2.81801 | − | 26.8116i | 0.0955945 | − | 0.909521i | ||||
\(870\) | 3.81495 | − | 0.810892i | 0.129339 | − | 0.0274918i | ||||
\(871\) | −1.23219 | − | 11.7236i | −0.0417513 | − | 0.397237i | ||||
\(872\) | 1.19594 | − | 11.3786i | 0.0404996 | − | 0.385328i | ||||
\(873\) | −25.8155 | − | 5.48726i | −0.873723 | − | 0.185715i | ||||
\(874\) | −0.617951 | + | 1.90186i | −0.0209025 | + | 0.0643313i | ||||
\(875\) | −2.65968 | − | 4.60670i | −0.0899135 | − | 0.155735i | ||||
\(876\) | −8.55355 | + | 9.49968i | −0.288998 | + | 0.320964i | ||||
\(877\) | −16.8851 | + | 12.2677i | −0.570168 | + | 0.414251i | −0.835166 | − | 0.549998i | \(-0.814629\pi\) |
0.264998 | + | 0.964249i | \(0.414629\pi\) | |||||||
\(878\) | 1.52208 | − | 4.68447i | 0.0513676 | − | 0.158093i | ||||
\(879\) | 16.6551 | + | 18.4974i | 0.561762 | + | 0.623900i | ||||
\(880\) | −4.41660 | − | 0.938776i | −0.148883 | − | 0.0316461i | ||||
\(881\) | 9.16555 | + | 6.65916i | 0.308795 | + | 0.224353i | 0.731379 | − | 0.681971i | \(-0.238877\pi\) |
−0.422584 | + | 0.906324i | \(0.638877\pi\) | |||||||
\(882\) | −4.96150 | − | 15.2699i | −0.167062 | − | 0.514165i | ||||
\(883\) | 16.2370 | − | 28.1234i | 0.546420 | − | 0.946427i | −0.452096 | − | 0.891969i | \(-0.649324\pi\) |
0.998516 | − | 0.0544578i | \(-0.0173430\pi\) | |||||||
\(884\) | 3.67871 | + | 4.08562i | 0.123728 | + | 0.137414i | ||||
\(885\) | −6.14792 | − | 6.82796i | −0.206660 | − | 0.229519i | ||||
\(886\) | −0.290422 | + | 0.503025i | −0.00975690 | + | 0.0168995i | ||||
\(887\) | 18.3675 | + | 56.5292i | 0.616719 | + | 1.89807i | 0.370374 | + | 0.928883i | \(0.379230\pi\) |
0.246345 | + | 0.969182i | \(0.420770\pi\) | |||||||
\(888\) | 3.08720 | + | 2.24298i | 0.103600 | + | 0.0752696i | ||||
\(889\) | 5.95412 | + | 1.26559i | 0.199695 | + | 0.0424464i | ||||
\(890\) | 8.06287 | + | 8.95472i | 0.270268 | + | 0.300163i | ||||
\(891\) | 2.86362 | − | 8.81333i | 0.0959350 | − | 0.295258i | ||||
\(892\) | −2.89085 | + | 2.10033i | −0.0967930 | + | 0.0703242i | ||||
\(893\) | 20.2312 | − | 22.4690i | 0.677011 | − | 0.751897i | ||||
\(894\) | −7.67087 | − | 13.2863i | −0.256552 | − | 0.444361i | ||||
\(895\) | −3.11835 | + | 9.59731i | −0.104235 | + | 0.320803i | ||||
\(896\) | −0.428042 | − | 0.0909831i | −0.0142999 | − | 0.00303953i | ||||
\(897\) | −0.0378652 | + | 0.360263i | −0.00126428 | + | 0.0120288i | ||||
\(898\) | 1.51327 | + | 14.3978i | 0.0504986 | + | 0.480462i | ||||
\(899\) | −10.5508 | + | 2.24264i | −0.351889 | + | 0.0747963i | ||||
\(900\) | −0.458968 | + | 4.36679i | −0.0152989 | + | 0.145560i | ||||
\(901\) | −1.33214 | + | 2.30733i | −0.0443799 | + | 0.0768682i | ||||
\(902\) | −4.37661 | − | 7.58051i | −0.145725 | − | 0.252403i | ||||
\(903\) | 1.76214 | − | 0.784556i | 0.0586404 | − | 0.0261084i | ||||
\(904\) | 1.51434 | 0.0503663 | ||||||||
\(905\) | 40.3069 | − | 17.9458i | 1.33985 | − | 0.596538i | ||||
\(906\) | 15.0044 | − | 10.9013i | 0.498487 | − | 0.362172i | ||||
\(907\) | 6.35127 | + | 4.61447i | 0.210890 | + | 0.153221i | 0.688216 | − | 0.725505i | \(-0.258394\pi\) |
−0.477326 | + | 0.878726i | \(0.658394\pi\) | |||||||
\(908\) | 14.8786 | − | 3.16254i | 0.493763 | − | 0.104953i | ||||
\(909\) | 27.0246 | + | 12.0321i | 0.896349 | + | 0.399080i | ||||
\(910\) | −1.32852 | − | 0.591497i | −0.0440401 | − | 0.0196079i | ||||
\(911\) | 1.35945 | + | 12.9343i | 0.0450405 | + | 0.428532i | 0.993687 | + | 0.112192i | \(0.0357872\pi\) |
−0.948646 | + | 0.316339i | \(0.897546\pi\) | |||||||
\(912\) | −2.05392 | − | 6.32131i | −0.0680120 | − | 0.209319i | ||||
\(913\) | −24.1109 | + | 26.7779i | −0.797954 | + | 0.886217i | ||||
\(914\) | 26.8767 | 0.889001 | ||||||||
\(915\) | 10.4811 | + | 3.60584i | 0.346495 | + | 0.119205i | ||||
\(916\) | 10.8440 | 0.358297 | ||||||||
\(917\) | −2.56363 | + | 2.84720i | −0.0846584 | + | 0.0940227i | ||||
\(918\) | 3.88741 | + | 11.9642i | 0.128304 | + | 0.394878i | ||||
\(919\) | 0.00135873 | + | 0.0129274i | 4.48202e−5 | + | 0.000426436i | 0.994544 | − | 0.104315i | \(-0.0332651\pi\) |
−0.994499 | + | 0.104742i | \(0.966598\pi\) | |||||||
\(920\) | −0.390062 | − | 0.173667i | −0.0128600 | − | 0.00572563i | ||||
\(921\) | −4.49247 | − | 2.00018i | −0.148032 | − | 0.0659081i | ||||
\(922\) | −11.6464 | + | 2.47553i | −0.383555 | + | 0.0815272i | ||||
\(923\) | 12.2867 | + | 8.92678i | 0.404420 | + | 0.293829i | ||||
\(924\) | −0.722930 | + | 0.525239i | −0.0237826 | + | 0.0172791i | ||||
\(925\) | 8.10221 | − | 3.60734i | 0.266399 | − | 0.118609i | ||||
\(926\) | 25.8520 | 0.849549 | ||||||||
\(927\) | −6.88428 | + | 3.06508i | −0.226109 | + | 0.100670i | ||||
\(928\) | −1.37411 | − | 2.38003i | −0.0451074 | − | 0.0781282i | ||||
\(929\) | −19.2950 | + | 33.4199i | −0.633048 | + | 1.09647i | 0.353877 | + | 0.935292i | \(0.384863\pi\) |
−0.986925 | + | 0.161180i | \(0.948470\pi\) | |||||||
\(930\) | 0.582233 | − | 5.53957i | 0.0190922 | − | 0.181650i | ||||
\(931\) | 55.2527 | − | 11.7443i | 1.81083 | − | 0.384905i | ||||
\(932\) | −1.38985 | − | 13.2235i | −0.0455259 | − | 0.433150i | ||||
\(933\) | 1.19734 | − | 11.3920i | 0.0391993 | − | 0.372956i | ||||
\(934\) | 33.0449 | + | 7.02392i | 1.08126 | + | 0.229830i | ||||
\(935\) | −4.08905 | + | 12.5848i | −0.133726 | + | 0.411567i | ||||
\(936\) | 2.21196 | + | 3.83122i | 0.0723001 | + | 0.125227i | ||||
\(937\) | 13.7877 | − | 15.3128i | 0.450424 | − | 0.500246i | −0.474576 | − | 0.880215i | \(-0.657398\pi\) |
0.924999 | + | 0.379968i | \(0.124065\pi\) | |||||||
\(938\) | 2.22462 | − | 1.61628i | 0.0726365 | − | 0.0527735i | ||||
\(939\) | 2.01863 | − | 6.21272i | 0.0658757 | − | 0.202744i | ||||
\(940\) | 4.31970 | + | 4.79751i | 0.140893 | + | 0.156478i | ||||
\(941\) | −19.9878 | − | 4.24854i | −0.651585 | − | 0.138499i | −0.129752 | − | 0.991546i | \(-0.541418\pi\) |
−0.521833 | + | 0.853048i | \(0.674751\pi\) | |||||||
\(942\) | 12.7238 | + | 9.24436i | 0.414563 | + | 0.301198i | ||||
\(943\) | −0.255782 | − | 0.787217i | −0.00832942 | − | 0.0256353i | ||||
\(944\) | −3.23709 | + | 5.60680i | −0.105358 | + | 0.182486i | ||||
\(945\) | −2.22661 | − | 2.47290i | −0.0724315 | − | 0.0804433i | ||||
\(946\) | −9.38406 | − | 10.4221i | −0.305102 | − | 0.338850i | ||||
\(947\) | −17.7618 | + | 30.7643i | −0.577180 | + | 0.999705i | 0.418621 | + | 0.908161i | \(0.362514\pi\) |
−0.995801 | + | 0.0915442i | \(0.970820\pi\) | |||||||
\(948\) | 2.61842 | + | 8.05868i | 0.0850425 | + | 0.261734i | ||||
\(949\) | 24.2169 | + | 17.5946i | 0.786113 | + | 0.571145i | ||||
\(950\) | −15.1102 | − | 3.21178i | −0.490241 | − | 0.104204i | ||||
\(951\) | −8.22620 | − | 9.13612i | −0.266753 | − | 0.296259i | ||||
\(952\) | −0.396297 | + | 1.21968i | −0.0128441 | + | 0.0395299i | ||||
\(953\) | 8.77516 | − | 6.37553i | 0.284255 | − | 0.206524i | −0.436516 | − | 0.899697i | \(-0.643788\pi\) |
0.720771 | + | 0.693173i | \(0.243788\pi\) | |||||||
\(954\) | −1.43454 | + | 1.59321i | −0.0464448 | + | 0.0515822i | ||||
\(955\) | 20.2550 | + | 35.0827i | 0.655436 | + | 1.13525i | ||||
\(956\) | 5.35334 | − | 16.4759i | 0.173139 | − | 0.532868i | ||||
\(957\) | −5.48925 | − | 1.16678i | −0.177442 | − | 0.0377165i | ||||
\(958\) | 2.43824 | − | 23.1983i | 0.0787760 | − | 0.749503i | ||||
\(959\) | 0.530852 | + | 5.05072i | 0.0171421 | + | 0.163096i | ||||
\(960\) | 1.38815 | − | 0.295061i | 0.0448024 | − | 0.00952305i | ||||
\(961\) | 1.63013 | − | 15.5097i | 0.0525849 | − | 0.500312i | ||||
\(962\) | 4.46789 | − | 7.73861i | 0.144050 | − | 0.249503i | ||||
\(963\) | 9.87382 | + | 17.1020i | 0.318179 | + | 0.551103i | ||||
\(964\) | 4.73444 | − | 2.10791i | 0.152486 | − | 0.0678912i | ||||
\(965\) | −23.4531 | −0.754982 | ||||||||
\(966\) | −0.0771950 | + | 0.0343694i | −0.00248371 | + | 0.00110582i | ||||
\(967\) | −31.4332 | + | 22.8376i | −1.01082 | + | 0.734407i | −0.964382 | − | 0.264514i | \(-0.914789\pi\) |
−0.0464429 | + | 0.998921i | \(0.514789\pi\) | |||||||
\(968\) | −3.64307 | − | 2.64684i | −0.117093 | − | 0.0850728i | ||||
\(969\) | −19.0529 | + | 4.04982i | −0.612068 | + | 0.130099i | ||||
\(970\) | 18.1116 | + | 8.06381i | 0.581529 | + | 0.258913i | ||||
\(971\) | −38.2067 | − | 17.0107i | −1.22611 | − | 0.545900i | −0.311505 | − | 0.950244i | \(-0.600833\pi\) |
−0.914607 | + | 0.404344i | \(0.867500\pi\) | |||||||
\(972\) | 1.65055 | + | 15.7039i | 0.0529414 | + | 0.503704i | ||||
\(973\) | 1.32264 | + | 4.07066i | 0.0424018 | + | 0.130499i | ||||
\(974\) | 11.0126 | − | 12.2307i | 0.352866 | − | 0.391897i | ||||
\(975\) | −2.79834 | −0.0896186 | ||||||||
\(976\) | 0.134248 | − | 7.80910i | 0.00429718 | − | 0.249963i | ||||
\(977\) | 17.2254 | 0.551088 | 0.275544 | − | 0.961288i | \(-0.411142\pi\) | ||||
0.275544 | + | 0.961288i | \(0.411142\pi\) | |||||||
\(978\) | −2.05008 | + | 2.27684i | −0.0655542 | + | 0.0728053i | ||||
\(979\) | −5.35778 | − | 16.4896i | −0.171236 | − | 0.527009i | ||||
\(980\) | 1.26071 | + | 11.9949i | 0.0402719 | + | 0.383162i | ||||
\(981\) | −24.6481 | − | 10.9740i | −0.786953 | − | 0.350374i | ||||
\(982\) | 33.8898 | + | 15.0887i | 1.08147 | + | 0.481500i | ||||
\(983\) | −48.6298 | + | 10.3366i | −1.55105 | + | 0.329686i | −0.902230 | − | 0.431256i | \(-0.858071\pi\) |
−0.648820 | + | 0.760942i | \(0.724737\pi\) | |||||||
\(984\) | 2.22574 | + | 1.61710i | 0.0709540 | + | 0.0515511i | ||||
\(985\) | 32.6299 | − | 23.7070i | 1.03968 | − | 0.755369i | ||||
\(986\) | −7.35763 | + | 3.27583i | −0.234315 | + | 0.104324i | ||||
\(987\) | 1.27761 | 0.0406667 | ||||||||
\(988\) | −14.2186 | + | 6.33051i | −0.452353 | + | 0.201400i | ||||
\(989\) | −0.663087 | − | 1.14850i | −0.0210849 | − | 0.0365202i | ||||
\(990\) | −5.32393 | + | 9.22131i | −0.169206 | + | 0.293073i | ||||
\(991\) | 0.670785 | − | 6.38209i | 0.0213082 | − | 0.202734i | −0.978688 | − | 0.205351i | \(-0.934166\pi\) |
0.999997 | + | 0.00261722i | \(0.000833089\pi\) | |||||||
\(992\) | −3.83914 | + | 0.816034i | −0.121893 | + | 0.0259091i | ||||
\(993\) | 1.08474 | + | 10.3206i | 0.0344232 | + | 0.327515i | ||||
\(994\) | −0.370309 | + | 3.52326i | −0.0117455 | + | 0.111751i | ||||
\(995\) | −0.891305 | − | 0.189453i | −0.0282563 | − | 0.00600606i | ||||
\(996\) | 3.49973 | − | 10.7710i | 0.110893 | − | 0.341294i | ||||
\(997\) | −0.161096 | − | 0.279027i | −0.00510197 | − | 0.00883688i | 0.863463 | − | 0.504412i | \(-0.168291\pi\) |
−0.868565 | + | 0.495575i | \(0.834957\pi\) | |||||||
\(998\) | 16.4000 | − | 18.2141i | 0.519133 | − | 0.576556i | ||||
\(999\) | 16.5418 | − | 12.0183i | 0.523360 | − | 0.380243i |
(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 | 122.2.i.a.25.1 | ✓ | 16 | |
4.3 | odd | 2 | 976.2.bw.a.513.2 | 16 | |||
61.12 | even | 15 | 7442.2.a.p.1.3 | 8 | |||
61.22 | even | 15 | inner | 122.2.i.a.83.1 | yes | 16 | |
61.49 | even | 30 | 7442.2.a.r.1.3 | 8 | |||
244.83 | odd | 30 | 976.2.bw.a.449.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
122.2.i.a.25.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
122.2.i.a.83.1 | yes | 16 | 61.22 | even | 15 | inner | |
976.2.bw.a.449.2 | 16 | 244.83 | odd | 30 | |||
976.2.bw.a.513.2 | 16 | 4.3 | odd | 2 | |||
7442.2.a.p.1.3 | 8 | 61.12 | even | 15 | |||
7442.2.a.r.1.3 | 8 | 61.49 | even | 30 |