Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.16 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | −0.650557 | − | 1.60523i | −0.375599 | − | 0.926782i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −1.11476 | − | 1.32564i | −0.455099 | − | 0.541188i | ||||
\(7\) | −0.239608 | − | 2.27972i | −0.0905632 | − | 0.861652i | −0.941643 | − | 0.336614i | \(-0.890718\pi\) |
0.851079 | − | 0.525037i | \(-0.175949\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −2.15355 | + | 2.08859i | −0.717851 | + | 0.696197i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | −4.80333 | − | 2.13858i | −1.44826 | − | 0.644806i | −0.476156 | − | 0.879361i | \(-0.657970\pi\) |
−0.972103 | + | 0.234555i | \(0.924637\pi\) | |||||||
\(12\) | −1.46984 | − | 0.916274i | −0.424307 | − | 0.264506i | ||||
\(13\) | 0.102539 | + | 0.482408i | 0.0284392 | + | 0.133796i | 0.990077 | − | 0.140527i | \(-0.0448797\pi\) |
−0.961638 | + | 0.274323i | \(0.911546\pi\) | |||||||
\(14\) | −0.932352 | − | 2.09410i | −0.249181 | − | 0.559671i | ||||
\(15\) | −1.36602 | − | 1.06490i | −0.352704 | − | 0.274955i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −0.224735 | + | 0.100059i | −0.0545063 | + | 0.0242678i | −0.433809 | − | 0.901005i | \(-0.642831\pi\) |
0.379302 | + | 0.925273i | \(0.376164\pi\) | |||||||
\(18\) | −1.40274 | + | 2.65185i | −0.330629 | + | 0.625048i | ||||
\(19\) | −2.25806 | − | 0.479966i | −0.518035 | − | 0.110112i | −0.0585276 | − | 0.998286i | \(-0.518641\pi\) |
−0.459507 | + | 0.888174i | \(0.651974\pi\) | |||||||
\(20\) | 0.406737 | − | 0.913545i | 0.0909491 | − | 0.204275i | ||||
\(21\) | −3.50360 | + | 1.86771i | −0.764548 | + | 0.407568i | ||||
\(22\) | −5.22910 | − | 0.549600i | −1.11485 | − | 0.117175i | ||||
\(23\) | −0.241527 | − | 0.175480i | −0.0503620 | − | 0.0365901i | 0.562319 | − | 0.826920i | \(-0.309909\pi\) |
−0.612681 | + | 0.790330i | \(0.709909\pi\) | |||||||
\(24\) | −1.68105 | − | 0.417222i | −0.343143 | − | 0.0851650i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 0.246593 | + | 0.427111i | 0.0483608 | + | 0.0837634i | ||||
\(27\) | 4.75368 | + | 2.09821i | 0.914847 | + | 0.403801i | ||||
\(28\) | −1.53383 | − | 1.70349i | −0.289867 | − | 0.321930i | ||||
\(29\) | −0.303900 | − | 0.935309i | −0.0564329 | − | 0.173683i | 0.918867 | − | 0.394567i | \(-0.129106\pi\) |
−0.975300 | + | 0.220885i | \(0.929106\pi\) | |||||||
\(30\) | −1.62823 | − | 0.590653i | −0.297273 | − | 0.107838i | ||||
\(31\) | 4.86007 | − | 2.71656i | 0.872895 | − | 0.487908i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −0.308084 | + | 9.10174i | −0.0536306 | + | 1.58441i | ||||
\(34\) | −0.182816 | + | 0.164608i | −0.0313527 | + | 0.0282301i | ||||
\(35\) | −1.34736 | − | 1.85449i | −0.227746 | − | 0.313466i | ||||
\(36\) | −0.514618 | + | 2.95553i | −0.0857696 | + | 0.492589i | ||||
\(37\) | 4.06789 | + | 2.34860i | 0.668757 | + | 0.386107i | 0.795606 | − | 0.605815i | \(-0.207153\pi\) |
−0.126848 | + | 0.991922i | \(0.540486\pi\) | |||||||
\(38\) | −2.29586 | + | 0.241305i | −0.372438 | + | 0.0391448i | ||||
\(39\) | 0.707670 | − | 0.478433i | 0.113318 | − | 0.0766105i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | −7.06425 | − | 6.36068i | −1.10325 | − | 0.993372i | −0.103252 | − | 0.994655i | \(-0.532925\pi\) |
−0.999999 | + | 0.00128345i | \(0.999591\pi\) | |||||||
\(42\) | −2.75497 | + | 2.85897i | −0.425101 | + | 0.441149i | ||||
\(43\) | 0.238577 | − | 1.12242i | 0.0363827 | − | 0.171167i | −0.956205 | − | 0.292698i | \(-0.905447\pi\) |
0.992588 | + | 0.121531i | \(0.0387803\pi\) | |||||||
\(44\) | −5.14300 | + | 1.09318i | −0.775337 | + | 0.164803i | ||||
\(45\) | −0.820736 | + | 2.88555i | −0.122348 | + | 0.430152i | ||||
\(46\) | −0.283933 | − | 0.0922553i | −0.0418636 | − | 0.0136023i | ||||
\(47\) | −3.93760 | − | 1.27940i | −0.574358 | − | 0.186620i | 0.00741320 | − | 0.999973i | \(-0.497640\pi\) |
−0.581772 | + | 0.813352i | \(0.697640\pi\) | |||||||
\(48\) | −1.72770 | + | 0.122671i | −0.249372 | + | 0.0177061i | ||||
\(49\) | 1.70734 | − | 0.362906i | 0.243906 | − | 0.0518438i | ||||
\(50\) | 0.207912 | − | 0.978148i | 0.0294032 | − | 0.138331i | ||||
\(51\) | 0.306821 | + | 0.295659i | 0.0429635 | + | 0.0414005i | ||||
\(52\) | 0.366508 | + | 0.330005i | 0.0508255 | + | 0.0457635i | ||||
\(53\) | −0.504232 | + | 4.79745i | −0.0692616 | + | 0.658980i | 0.903724 | + | 0.428115i | \(0.140822\pi\) |
−0.972986 | + | 0.230865i | \(0.925844\pi\) | |||||||
\(54\) | 5.16941 | + | 0.526546i | 0.703467 | + | 0.0716539i | ||||
\(55\) | −5.22910 | + | 0.549600i | −0.705091 | + | 0.0741081i | ||||
\(56\) | −1.98517 | − | 1.14614i | −0.265279 | − | 0.153159i | ||||
\(57\) | 0.698539 | + | 3.93696i | 0.0925238 | + | 0.521463i | ||||
\(58\) | −0.578053 | − | 0.795622i | −0.0759021 | − | 0.104470i | ||||
\(59\) | 10.8675 | − | 9.78515i | 1.41483 | − | 1.27392i | 0.502430 | − | 0.864618i | \(-0.332440\pi\) |
0.912400 | − | 0.409300i | \(-0.134227\pi\) | |||||||
\(60\) | −1.73106 | − | 0.0585945i | −0.223479 | − | 0.00756452i | ||||
\(61\) | 11.6416i | 1.49056i | 0.666753 | + | 0.745279i | \(0.267684\pi\) | ||||
−0.666753 | + | 0.745279i | \(0.732316\pi\) | |||||||
\(62\) | 3.78274 | − | 4.08544i | 0.480409 | − | 0.518852i | ||||
\(63\) | 5.27740 | + | 4.40905i | 0.664890 | + | 0.555487i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 0.330005 | + | 0.366508i | 0.0409321 | + | 0.0454597i | ||||
\(66\) | 2.51959 | + | 8.75147i | 0.310140 | + | 1.07723i | ||||
\(67\) | −4.94015 | − | 8.55660i | −0.603536 | − | 1.04535i | −0.992281 | − | 0.124010i | \(-0.960425\pi\) |
0.388745 | − | 0.921345i | \(-0.372909\pi\) | |||||||
\(68\) | −0.123002 | + | 0.213045i | −0.0149162 | + | 0.0258355i | ||||
\(69\) | −0.124559 | + | 0.501868i | −0.0149952 | + | 0.0604178i | ||||
\(70\) | −1.85449 | − | 1.34736i | −0.221654 | − | 0.161041i | ||||
\(71\) | −6.46130 | − | 0.679110i | −0.766816 | − | 0.0805956i | −0.286959 | − | 0.957943i | \(-0.592644\pi\) |
−0.479856 | + | 0.877347i | \(0.659311\pi\) | |||||||
\(72\) | 0.423879 | + | 2.96990i | 0.0499546 | + | 0.350006i | ||||
\(73\) | −0.845091 | + | 1.89810i | −0.0989104 | + | 0.222156i | −0.956222 | − | 0.292641i | \(-0.905466\pi\) |
0.857312 | + | 0.514797i | \(0.172133\pi\) | |||||||
\(74\) | 4.59455 | + | 0.976602i | 0.534106 | + | 0.113528i | ||||
\(75\) | −1.71545 | − | 0.239219i | −0.198083 | − | 0.0276226i | ||||
\(76\) | −2.10893 | + | 0.938954i | −0.241910 | + | 0.107705i | ||||
\(77\) | −3.72444 | + | 11.4627i | −0.424439 | + | 1.30629i | ||||
\(78\) | 0.525191 | − | 0.673699i | 0.0594661 | − | 0.0762814i | ||||
\(79\) | −1.47932 | − | 3.32261i | −0.166437 | − | 0.373823i | 0.811002 | − | 0.585044i | \(-0.198923\pi\) |
−0.977438 | + | 0.211221i | \(0.932256\pi\) | |||||||
\(80\) | −0.207912 | − | 0.978148i | −0.0232452 | − | 0.109360i | ||||
\(81\) | 0.275576 | − | 8.99578i | 0.0306196 | − | 0.999531i | ||||
\(82\) | −8.68406 | − | 3.86639i | −0.958994 | − | 0.426972i | ||||
\(83\) | −0.758476 | + | 0.842373i | −0.0832536 | + | 0.0924625i | −0.783332 | − | 0.621603i | \(-0.786482\pi\) |
0.700079 | + | 0.714066i | \(0.253148\pi\) | |||||||
\(84\) | −1.73666 | + | 3.57037i | −0.189485 | + | 0.389560i | ||||
\(85\) | −0.144597 | + | 0.199021i | −0.0156838 | + | 0.0215869i | ||||
\(86\) | −0.119946 | − | 1.14121i | −0.0129341 | − | 0.123060i | ||||
\(87\) | −1.30369 | + | 1.09630i | −0.139770 | + | 0.117536i | ||||
\(88\) | −4.55348 | + | 2.62895i | −0.485402 | + | 0.280247i | ||||
\(89\) | 11.3890 | − | 8.27458i | 1.20723 | − | 0.877104i | 0.212254 | − | 0.977215i | \(-0.431920\pi\) |
0.994976 | + | 0.100111i | \(0.0319197\pi\) | |||||||
\(90\) | 0.111118 | + | 2.99794i | 0.0117128 | + | 0.316011i | ||||
\(91\) | 1.07518 | − | 0.349348i | 0.112710 | − | 0.0366217i | ||||
\(92\) | −0.298544 | −0.0311254 | ||||||||
\(93\) | −7.52246 | − | 6.03428i | −0.780043 | − | 0.625726i | ||||
\(94\) | −4.14024 | −0.427033 | ||||||||
\(95\) | −2.19552 | + | 0.713368i | −0.225256 | + | 0.0731900i | ||||
\(96\) | −1.60523 | + | 0.650557i | −0.163834 | + | 0.0663971i | ||||
\(97\) | −2.96658 | + | 2.15535i | −0.301211 | + | 0.218842i | −0.728116 | − | 0.685454i | \(-0.759604\pi\) |
0.426905 | + | 0.904296i | \(0.359604\pi\) | |||||||
\(98\) | 1.51163 | − | 0.872742i | 0.152698 | − | 0.0881602i | ||||
\(99\) | 14.8108 | − | 5.42665i | 1.48855 | − | 0.545399i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | −3.90718 | + | 5.37777i | −0.388779 | + | 0.535108i | −0.957884 | − | 0.287157i | \(-0.907290\pi\) |
0.569105 | + | 0.822265i | \(0.307290\pi\) | |||||||
\(102\) | 0.383167 | + | 0.186376i | 0.0379392 | + | 0.0184539i | ||||
\(103\) | 4.93280 | − | 5.47843i | 0.486044 | − | 0.539806i | −0.449377 | − | 0.893342i | \(-0.648354\pi\) |
0.935421 | + | 0.353536i | \(0.115021\pi\) | |||||||
\(104\) | 0.450547 | + | 0.200597i | 0.0441798 | + | 0.0196701i | ||||
\(105\) | −2.10035 | + | 3.36928i | −0.204973 | + | 0.328808i | ||||
\(106\) | 1.00294 | + | 4.71846i | 0.0974141 | + | 0.458297i | ||||
\(107\) | 4.02477 | + | 9.03979i | 0.389090 | + | 0.873910i | 0.996814 | + | 0.0797616i | \(0.0254159\pi\) |
−0.607724 | + | 0.794148i | \(0.707917\pi\) | |||||||
\(108\) | 5.07911 | − | 1.09666i | 0.488737 | − | 0.105526i | ||||
\(109\) | 5.37727 | − | 16.5495i | 0.515049 | − | 1.58516i | −0.268144 | − | 0.963379i | \(-0.586410\pi\) |
0.783193 | − | 0.621779i | \(-0.213590\pi\) | |||||||
\(110\) | −4.80333 | + | 2.13858i | −0.457980 | + | 0.203906i | ||||
\(111\) | 1.12366 | − | 8.05782i | 0.106653 | − | 0.764814i | ||||
\(112\) | −2.24218 | − | 0.476590i | −0.211866 | − | 0.0450336i | ||||
\(113\) | 4.07478 | − | 9.15212i | 0.383323 | − | 0.860959i | −0.614101 | − | 0.789228i | \(-0.710481\pi\) |
0.997424 | − | 0.0717308i | \(-0.0228523\pi\) | |||||||
\(114\) | 1.88094 | + | 3.52841i | 0.176166 | + | 0.330466i | ||||
\(115\) | −0.296909 | − | 0.0312064i | −0.0276869 | − | 0.00291001i | ||||
\(116\) | −0.795622 | − | 0.578053i | −0.0738716 | − | 0.0536709i | ||||
\(117\) | −1.22838 | − | 0.824729i | −0.113563 | − | 0.0762462i | ||||
\(118\) | 7.31184 | − | 12.6645i | 0.673109 | − | 1.16586i | ||||
\(119\) | 0.281954 | + | 0.488358i | 0.0258466 | + | 0.0447677i | ||||
\(120\) | −1.66444 | + | 0.479200i | −0.151942 | + | 0.0437448i | ||||
\(121\) | 11.1380 | + | 12.3700i | 1.01255 | + | 1.12455i | ||||
\(122\) | 3.59746 | + | 11.0718i | 0.325699 | + | 1.00240i | ||||
\(123\) | −5.61469 | + | 15.4778i | −0.506259 | + | 1.39558i | ||||
\(124\) | 2.33513 | − | 5.05442i | 0.209701 | − | 0.453900i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 6.38158 | + | 2.56244i | 0.568516 | + | 0.228281i | ||||
\(127\) | −3.76156 | + | 3.38692i | −0.333784 | + | 0.300540i | −0.818931 | − | 0.573892i | \(-0.805433\pi\) |
0.485147 | + | 0.874433i | \(0.338766\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | −1.95695 | + | 0.347224i | −0.172300 | + | 0.0305714i | ||||
\(130\) | 0.427111 | + | 0.246593i | 0.0374601 | + | 0.0216276i | ||||
\(131\) | 6.90739 | − | 0.725996i | 0.603502 | − | 0.0634306i | 0.202150 | − | 0.979355i | \(-0.435207\pi\) |
0.401352 | + | 0.915924i | \(0.368541\pi\) | |||||||
\(132\) | 5.10062 | + | 7.54455i | 0.443952 | + | 0.656669i | ||||
\(133\) | −0.553136 | + | 5.26274i | −0.0479630 | + | 0.456337i | ||||
\(134\) | −7.34250 | − | 6.61122i | −0.634295 | − | 0.571122i | ||||
\(135\) | 5.16592 | − | 0.559740i | 0.444611 | − | 0.0481747i | ||||
\(136\) | −0.0511470 | + | 0.240628i | −0.00438582 | + | 0.0206337i | ||||
\(137\) | 7.24675 | − | 1.54034i | 0.619131 | − | 0.131600i | 0.112341 | − | 0.993670i | \(-0.464165\pi\) |
0.506790 | + | 0.862069i | \(0.330832\pi\) | |||||||
\(138\) | 0.0366229 | + | 0.515796i | 0.00311755 | + | 0.0439074i | ||||
\(139\) | 16.8089 | + | 5.46155i | 1.42571 | + | 0.463242i | 0.917413 | − | 0.397937i | \(-0.130274\pi\) |
0.508301 | + | 0.861180i | \(0.330274\pi\) | |||||||
\(140\) | −2.18008 | − | 0.708351i | −0.184251 | − | 0.0598666i | ||||
\(141\) | 0.507889 | + | 7.15310i | 0.0427720 | + | 0.602400i | ||||
\(142\) | −6.35492 | + | 1.35078i | −0.533293 | + | 0.113355i | ||||
\(143\) | 0.539140 | − | 2.53645i | 0.0450851 | − | 0.212109i | ||||
\(144\) | 1.32088 | + | 2.69356i | 0.110074 | + | 0.224463i | ||||
\(145\) | −0.730840 | − | 0.658051i | −0.0606930 | − | 0.0546482i | ||||
\(146\) | −0.217182 | + | 2.06635i | −0.0179741 | + | 0.171013i | ||||
\(147\) | −1.69327 | − | 2.50459i | −0.139659 | − | 0.206575i | ||||
\(148\) | 4.67147 | − | 0.490991i | 0.383992 | − | 0.0403592i | ||||
\(149\) | 8.29682 | + | 4.79017i | 0.679702 | + | 0.392426i | 0.799743 | − | 0.600343i | \(-0.204969\pi\) |
−0.120041 | + | 0.992769i | \(0.538303\pi\) | |||||||
\(150\) | −1.70541 | + | 0.302593i | −0.139246 | + | 0.0247066i | ||||
\(151\) | −5.12296 | − | 7.05114i | −0.416900 | − | 0.573814i | 0.547984 | − | 0.836489i | \(-0.315395\pi\) |
−0.964884 | + | 0.262675i | \(0.915395\pi\) | |||||||
\(152\) | −1.71556 | + | 1.54469i | −0.139150 | + | 0.125291i | ||||
\(153\) | 0.274998 | − | 0.684862i | 0.0222323 | − | 0.0553678i | ||||
\(154\) | 12.0525i | 0.971222i | ||||||||
\(155\) | 2.85067 | − | 4.78264i | 0.228971 | − | 0.384151i | ||||
\(156\) | 0.291302 | − | 0.803018i | 0.0233228 | − | 0.0642929i | ||||
\(157\) | −4.28458 | − | 13.1866i | −0.341946 | − | 1.05240i | −0.963198 | − | 0.268792i | \(-0.913376\pi\) |
0.621252 | − | 0.783611i | \(-0.286624\pi\) | |||||||
\(158\) | −2.43366 | − | 2.70286i | −0.193612 | − | 0.215028i | ||||
\(159\) | 8.02906 | − | 2.31160i | 0.636746 | − | 0.183322i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −0.342173 | + | 0.592660i | −0.0269670 | + | 0.0467082i | ||||
\(162\) | −2.51776 | − | 8.64065i | −0.197814 | − | 0.678874i | ||||
\(163\) | 0.740024 | + | 0.537659i | 0.0579631 | + | 0.0421127i | 0.616390 | − | 0.787441i | \(-0.288595\pi\) |
−0.558426 | + | 0.829554i | \(0.688595\pi\) | |||||||
\(164\) | −9.45382 | − | 0.993636i | −0.738219 | − | 0.0775900i | ||||
\(165\) | 4.28406 | + | 8.03638i | 0.333514 | + | 0.625631i | ||||
\(166\) | −0.461046 | + | 1.03553i | −0.0357841 | + | 0.0803724i | ||||
\(167\) | 2.27172 | + | 0.482869i | 0.175791 | + | 0.0373655i | 0.294966 | − | 0.955508i | \(-0.404692\pi\) |
−0.119175 | + | 0.992873i | \(0.538025\pi\) | |||||||
\(168\) | −0.548354 | + | 3.93228i | −0.0423064 | + | 0.303382i | ||||
\(169\) | 11.6539 | − | 5.18865i | 0.896453 | − | 0.399127i | ||||
\(170\) | −0.0760193 | + | 0.233963i | −0.00583041 | + | 0.0179442i | ||||
\(171\) | 5.86530 | − | 3.68253i | 0.448531 | − | 0.281610i | ||||
\(172\) | −0.466728 | − | 1.04829i | −0.0355877 | − | 0.0799312i | ||||
\(173\) | 3.73588 | + | 17.5759i | 0.284034 | + | 1.33627i | 0.856416 | + | 0.516287i | \(0.172686\pi\) |
−0.572382 | + | 0.819987i | \(0.693980\pi\) | |||||||
\(174\) | −0.901103 | + | 1.44551i | −0.0683124 | + | 0.109584i | ||||
\(175\) | −2.09410 | − | 0.932352i | −0.158299 | − | 0.0704792i | ||||
\(176\) | −3.51822 | + | 3.90738i | −0.265196 | + | 0.294530i | ||||
\(177\) | −22.7774 | − | 11.0791i | −1.71205 | − | 0.832757i | ||||
\(178\) | 8.27458 | − | 11.3890i | 0.620206 | − | 0.853640i | ||||
\(179\) | 0.107315 | + | 1.02103i | 0.00802109 | + | 0.0763156i | 0.997800 | − | 0.0662937i | \(-0.0211174\pi\) |
−0.989779 | + | 0.142609i | \(0.954451\pi\) | |||||||
\(180\) | 1.03209 | + | 2.81687i | 0.0769277 | + | 0.209957i | ||||
\(181\) | −0.0640963 | + | 0.0370060i | −0.00476424 | + | 0.00275063i | −0.502380 | − | 0.864647i | \(-0.667542\pi\) |
0.497616 | + | 0.867397i | \(0.334209\pi\) | |||||||
\(182\) | 0.914606 | − | 0.664500i | 0.0677951 | − | 0.0492560i | ||||
\(183\) | 18.6875 | − | 7.57354i | 1.38142 | − | 0.559852i | ||||
\(184\) | −0.283933 | + | 0.0922553i | −0.0209318 | + | 0.00680115i | ||||
\(185\) | 4.69720 | 0.345345 | ||||||||
\(186\) | −9.01898 | − | 3.41438i | −0.661304 | − | 0.250354i | ||||
\(187\) | 1.29346 | 0.0945873 | ||||||||
\(188\) | −3.93760 | + | 1.27940i | −0.287179 | + | 0.0933102i | ||||
\(189\) | 3.64430 | − | 11.3398i | 0.265084 | − | 0.824849i | ||||
\(190\) | −1.86762 | + | 1.35691i | −0.135492 | + | 0.0984403i | ||||
\(191\) | −1.20866 | + | 0.697818i | −0.0874553 | + | 0.0504924i | −0.543090 | − | 0.839675i | \(-0.682746\pi\) |
0.455635 | + | 0.890167i | \(0.349412\pi\) | |||||||
\(192\) | −1.32564 | + | 1.11476i | −0.0956695 | + | 0.0804509i | ||||
\(193\) | −1.68734 | − | 16.0539i | −0.121457 | − | 1.15559i | −0.870190 | − | 0.492716i | \(-0.836004\pi\) |
0.748733 | − | 0.662872i | \(-0.230663\pi\) | |||||||
\(194\) | −2.15535 | + | 2.96658i | −0.154745 | + | 0.212988i | ||||
\(195\) | 0.373644 | − | 0.768170i | 0.0267572 | − | 0.0550098i | ||||
\(196\) | 1.16796 | − | 1.29715i | 0.0834255 | − | 0.0926533i | ||||
\(197\) | 20.1991 | + | 8.99323i | 1.43913 | + | 0.640741i | 0.970158 | − | 0.242473i | \(-0.0779585\pi\) |
0.468970 | + | 0.883214i | \(0.344625\pi\) | |||||||
\(198\) | 12.4090 | − | 9.73785i | 0.881871 | − | 0.692039i | ||||
\(199\) | 1.76623 | + | 8.30945i | 0.125205 | + | 0.589041i | 0.995356 | + | 0.0962575i | \(0.0306872\pi\) |
−0.870152 | + | 0.492784i | \(0.835979\pi\) | |||||||
\(200\) | −0.406737 | − | 0.913545i | −0.0287606 | − | 0.0645974i | ||||
\(201\) | −10.5215 | + | 13.4967i | −0.742129 | + | 0.951981i | ||||
\(202\) | −2.05412 | + | 6.32195i | −0.144528 | + | 0.444811i | ||||
\(203\) | −2.05942 | + | 0.916914i | −0.144543 | + | 0.0643547i | ||||
\(204\) | 0.422007 | + | 0.0588486i | 0.0295464 | + | 0.00412023i | ||||
\(205\) | −9.29816 | − | 1.97639i | −0.649412 | − | 0.138037i | ||||
\(206\) | 2.99845 | − | 6.73462i | 0.208912 | − | 0.469223i | ||||
\(207\) | 0.886648 | − | 0.126547i | 0.0616263 | − | 0.00879561i | ||||
\(208\) | 0.490484 | + | 0.0515519i | 0.0340089 | + | 0.00357448i | ||||
\(209\) | 9.81977 | + | 7.13448i | 0.679248 | + | 0.493502i | ||||
\(210\) | −0.956386 | + | 3.85342i | −0.0659969 | + | 0.265912i | ||||
\(211\) | 7.90836 | − | 13.6977i | 0.544434 | − | 0.942988i | −0.454208 | − | 0.890896i | \(-0.650078\pi\) |
0.998642 | − | 0.0520920i | \(-0.0165889\pi\) | |||||||
\(212\) | 2.41194 | + | 4.17760i | 0.165653 | + | 0.286919i | ||||
\(213\) | 3.11331 | + | 10.8137i | 0.213321 | + | 0.740943i | ||||
\(214\) | 6.62124 | + | 7.35363i | 0.452618 | + | 0.502684i | ||||
\(215\) | −0.354595 | − | 1.09133i | −0.0241832 | − | 0.0744282i | ||||
\(216\) | 4.49163 | − | 2.61252i | 0.305617 | − | 0.177759i | ||||
\(217\) | −7.35749 | − | 10.4287i | −0.499459 | − | 0.707945i | ||||
\(218\) | − | 17.4012i | − | 1.17856i | ||||||
\(219\) | 3.59668 | + | 0.121744i | 0.243041 | + | 0.00822669i | ||||
\(220\) | −3.90738 | + | 3.51822i | −0.263436 | + | 0.237198i | ||||
\(221\) | −0.0713132 | − | 0.0981542i | −0.00479705 | − | 0.00660257i | ||||
\(222\) | −1.42134 | − | 8.01067i | −0.0953942 | − | 0.537641i | ||||
\(223\) | 9.27537 | + | 5.35514i | 0.621125 | + | 0.358607i | 0.777307 | − | 0.629122i | \(-0.216585\pi\) |
−0.156182 | + | 0.987728i | \(0.549919\pi\) | |||||||
\(224\) | −2.27972 | + | 0.239608i | −0.152320 | + | 0.0160095i | ||||
\(225\) | 0.731997 | + | 2.90933i | 0.0487998 | + | 0.193955i | ||||
\(226\) | 1.04719 | − | 9.96336i | 0.0696581 | − | 0.662753i | ||||
\(227\) | 14.3618 | + | 12.9314i | 0.953224 | + | 0.858286i | 0.990004 | − | 0.141037i | \(-0.0450436\pi\) |
−0.0367807 | + | 0.999323i | \(0.511710\pi\) | |||||||
\(228\) | 2.87922 | + | 2.77448i | 0.190681 | + | 0.183744i | ||||
\(229\) | 4.20055 | − | 19.7621i | 0.277580 | − | 1.30591i | −0.589509 | − | 0.807762i | \(-0.700679\pi\) |
0.867090 | − | 0.498152i | \(-0.165988\pi\) | |||||||
\(230\) | −0.292020 | + | 0.0620709i | −0.0192553 | + | 0.00409283i | ||||
\(231\) | 20.8232 | − | 1.47850i | 1.37007 | − | 0.0972783i | ||||
\(232\) | −0.935309 | − | 0.303900i | −0.0614061 | − | 0.0199520i | ||||
\(233\) | 13.8077 | + | 4.48638i | 0.904570 | + | 0.293912i | 0.724122 | − | 0.689672i | \(-0.242245\pi\) |
0.180448 | + | 0.983585i | \(0.442245\pi\) | |||||||
\(234\) | −1.42311 | − | 0.404775i | −0.0930316 | − | 0.0264610i | ||||
\(235\) | −4.04977 | + | 0.860805i | −0.264178 | + | 0.0561527i | ||||
\(236\) | 3.04043 | − | 14.3041i | 0.197915 | − | 0.931119i | ||||
\(237\) | −4.37119 | + | 4.53620i | −0.283939 | + | 0.294658i | ||||
\(238\) | 0.419065 | + | 0.377328i | 0.0271639 | + | 0.0244585i | ||||
\(239\) | 0.860790 | − | 8.18987i | 0.0556799 | − | 0.529758i | −0.930759 | − | 0.365632i | \(-0.880853\pi\) |
0.986439 | − | 0.164126i | \(-0.0524805\pi\) | |||||||
\(240\) | −1.43490 | + | 0.970087i | −0.0926222 | + | 0.0626189i | ||||
\(241\) | −30.2783 | + | 3.18237i | −1.95039 | + | 0.204995i | −0.995703 | − | 0.0926038i | \(-0.970481\pi\) |
−0.954691 | + | 0.297598i | \(0.903814\pi\) | |||||||
\(242\) | 14.4154 | + | 8.32276i | 0.926660 | + | 0.535007i | ||||
\(243\) | −14.6196 | + | 5.40990i | −0.937848 | + | 0.347045i | ||||
\(244\) | 6.84278 | + | 9.41828i | 0.438064 | + | 0.602943i | ||||
\(245\) | 1.29715 | − | 1.16796i | 0.0828717 | − | 0.0746180i | ||||
\(246\) | −0.556993 | + | 16.4553i | −0.0355126 | + | 1.04915i | ||||
\(247\) | − | 1.13852i | − | 0.0724424i | ||||||
\(248\) | 0.658940 | − | 5.52863i | 0.0418428 | − | 0.351069i | ||||
\(249\) | 1.84564 | + | 0.669520i | 0.116963 | + | 0.0424291i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −3.56146 | − | 3.95540i | −0.224797 | − | 0.249663i | 0.620187 | − | 0.784454i | \(-0.287057\pi\) |
−0.844984 | + | 0.534791i | \(0.820390\pi\) | |||||||
\(252\) | 6.86108 | + | 0.465013i | 0.432207 | + | 0.0292931i | ||||
\(253\) | 0.784858 | + | 1.35941i | 0.0493436 | + | 0.0854657i | ||||
\(254\) | −2.53084 | + | 4.38354i | −0.158799 | + | 0.275048i | ||||
\(255\) | 0.413544 | + | 0.102638i | 0.0258971 | + | 0.00642744i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −28.1552 | − | 2.95923i | −1.75628 | − | 0.184592i | −0.829070 | − | 0.559145i | \(-0.811130\pi\) |
−0.927206 | + | 0.374553i | \(0.877796\pi\) | |||||||
\(258\) | −1.75387 | + | 0.934961i | −0.109191 | + | 0.0582082i | ||||
\(259\) | 4.37944 | − | 9.83638i | 0.272125 | − | 0.611203i | ||||
\(260\) | 0.482408 | + | 0.102539i | 0.0299177 | + | 0.00635920i | ||||
\(261\) | 2.60794 | + | 1.37951i | 0.161428 | + | 0.0853898i | ||||
\(262\) | 6.34497 | − | 2.82496i | 0.391994 | − | 0.174527i | ||||
\(263\) | −3.36054 | + | 10.3427i | −0.207220 | + | 0.637757i | 0.792395 | + | 0.610008i | \(0.208834\pi\) |
−0.999615 | + | 0.0277488i | \(0.991166\pi\) | |||||||
\(264\) | 7.18237 | + | 5.59911i | 0.442045 | + | 0.344602i | ||||
\(265\) | 1.96205 | + | 4.40683i | 0.120528 | + | 0.270709i | ||||
\(266\) | 1.10021 | + | 5.17609i | 0.0674584 | + | 0.317367i | ||||
\(267\) | −20.6918 | − | 12.8989i | −1.26632 | − | 0.789400i | ||||
\(268\) | −9.02611 | − | 4.01868i | −0.551358 | − | 0.245480i | ||||
\(269\) | −12.1131 | + | 13.4530i | −0.738549 | + | 0.820241i | −0.989004 | − | 0.147887i | \(-0.952753\pi\) |
0.250456 | + | 0.968128i | \(0.419420\pi\) | |||||||
\(270\) | 4.74011 | − | 2.12870i | 0.288474 | − | 0.129549i | ||||
\(271\) | 7.34577 | − | 10.1106i | 0.446223 | − | 0.614174i | −0.525357 | − | 0.850882i | \(-0.676068\pi\) |
0.971581 | + | 0.236708i | \(0.0760684\pi\) | |||||||
\(272\) | 0.0257144 | + | 0.244656i | 0.00155916 | + | 0.0148344i | ||||
\(273\) | −1.26025 | − | 1.49865i | −0.0762740 | − | 0.0907025i | ||||
\(274\) | 6.41607 | − | 3.70432i | 0.387609 | − | 0.223786i | ||||
\(275\) | −4.25373 | + | 3.09052i | −0.256510 | + | 0.186365i | ||||
\(276\) | 0.194220 | + | 0.479234i | 0.0116907 | + | 0.0288465i | ||||
\(277\) | −19.7985 | + | 6.43293i | −1.18958 | + | 0.386517i | −0.835917 | − | 0.548856i | \(-0.815063\pi\) |
−0.353661 | + | 0.935374i | \(0.615063\pi\) | |||||||
\(278\) | 17.6739 | 1.06001 | ||||||||
\(279\) | −4.79265 | + | 16.0010i | −0.286929 | + | 0.957952i | ||||
\(280\) | −2.29227 | −0.136990 | ||||||||
\(281\) | −18.5701 | + | 6.03378i | −1.10780 | + | 0.359945i | −0.805099 | − | 0.593141i | \(-0.797888\pi\) |
−0.302699 | + | 0.953086i | \(0.597888\pi\) | |||||||
\(282\) | 2.69346 | + | 6.64606i | 0.160393 | + | 0.395767i | ||||
\(283\) | 10.0349 | − | 7.29076i | 0.596511 | − | 0.433391i | −0.248128 | − | 0.968727i | \(-0.579815\pi\) |
0.844639 | + | 0.535337i | \(0.179815\pi\) | |||||||
\(284\) | −5.62647 | + | 3.24845i | −0.333870 | + | 0.192760i | ||||
\(285\) | 2.57343 | + | 3.06024i | 0.152437 | + | 0.181273i | ||||
\(286\) | −0.271055 | − | 2.57891i | −0.0160278 | − | 0.152494i | ||||
\(287\) | −12.8079 | + | 17.6286i | −0.756026 | + | 1.04058i | ||||
\(288\) | 2.08859 | + | 2.15355i | 0.123071 | + | 0.126899i | ||||
\(289\) | −11.3347 | + | 12.5885i | −0.666749 | + | 0.740499i | ||||
\(290\) | −0.898419 | − | 0.400002i | −0.0527570 | − | 0.0234889i | ||||
\(291\) | 5.38977 | + | 3.35988i | 0.315954 | + | 0.196960i | ||||
\(292\) | 0.431985 | + | 2.03233i | 0.0252800 | + | 0.118933i | ||||
\(293\) | 9.62081 | + | 21.6087i | 0.562054 | + | 1.26239i | 0.941448 | + | 0.337158i | \(0.109466\pi\) |
−0.379394 | + | 0.925235i | \(0.623868\pi\) | |||||||
\(294\) | −2.38436 | − | 1.85876i | −0.139059 | − | 0.108405i | ||||
\(295\) | 4.51897 | − | 13.9079i | 0.263104 | − | 0.809752i | ||||
\(296\) | 4.29110 | − | 1.91052i | 0.249415 | − | 0.111047i | ||||
\(297\) | −18.3463 | − | 20.2445i | −1.06456 | − | 1.17471i | ||||
\(298\) | 9.37099 | + | 1.99186i | 0.542847 | + | 0.115386i | ||||
\(299\) | 0.0598870 | − | 0.134508i | 0.00346335 | − | 0.00777882i | ||||
\(300\) | −1.52844 | + | 0.814785i | −0.0882444 | + | 0.0470417i | ||||
\(301\) | −2.61596 | − | 0.274949i | −0.150781 | − | 0.0158478i | ||||
\(302\) | −7.05114 | − | 5.12296i | −0.405748 | − | 0.294793i | ||||
\(303\) | 11.1744 | + | 2.77339i | 0.641954 | + | 0.159327i | ||||
\(304\) | −1.15425 | + | 1.99923i | −0.0662010 | + | 0.114663i | ||||
\(305\) | 5.82082 | + | 10.0819i | 0.333299 | + | 0.577291i | ||||
\(306\) | 0.0499046 | − | 0.736321i | 0.00285285 | − | 0.0420927i | ||||
\(307\) | −1.65859 | − | 1.84205i | −0.0946605 | − | 0.105131i | 0.693953 | − | 0.720020i | \(-0.255867\pi\) |
−0.788614 | + | 0.614889i | \(0.789201\pi\) | |||||||
\(308\) | 3.72444 | + | 11.4627i | 0.212220 | + | 0.653145i | ||||
\(309\) | −12.0032 | − | 4.35427i | −0.682840 | − | 0.247706i | ||||
\(310\) | 1.23323 | − | 5.42947i | 0.0700428 | − | 0.308373i | ||||
\(311\) | − | 12.1114i | − | 0.686776i | −0.939194 | − | 0.343388i | \(-0.888425\pi\) | ||
0.939194 | − | 0.343388i | \(-0.111575\pi\) | |||||||
\(312\) | 0.0288980 | − | 0.853733i | 0.00163602 | − | 0.0483331i | ||||
\(313\) | −18.7290 | + | 16.8637i | −1.05863 | + | 0.953191i | −0.998986 | − | 0.0450286i | \(-0.985662\pi\) |
−0.0596405 | + | 0.998220i | \(0.518995\pi\) | |||||||
\(314\) | −8.14975 | − | 11.2172i | −0.459917 | − | 0.633021i | ||||
\(315\) | 6.77489 | + | 1.17964i | 0.381722 | + | 0.0664654i | ||||
\(316\) | −3.14978 | − | 1.81853i | −0.177189 | − | 0.102300i | ||||
\(317\) | 30.8863 | − | 3.24628i | 1.73475 | − | 0.182329i | 0.816235 | − | 0.577719i | \(-0.196057\pi\) |
0.918513 | + | 0.395390i | \(0.129391\pi\) | |||||||
\(318\) | 6.92177 | − | 4.67958i | 0.388153 | − | 0.262418i | ||||
\(319\) | −0.540500 | + | 5.14252i | −0.0302622 | + | 0.287926i | ||||
\(320\) | −0.743145 | − | 0.669131i | −0.0415431 | − | 0.0374055i | ||||
\(321\) | 11.8926 | − | 12.3416i | 0.663782 | − | 0.688841i | ||||
\(322\) | −0.142283 | + | 0.669391i | −0.00792914 | + | 0.0373037i | ||||
\(323\) | 0.555491 | − | 0.118073i | 0.0309083 | − | 0.00656977i | ||||
\(324\) | −5.06464 | − | 7.43972i | −0.281369 | − | 0.413318i | ||||
\(325\) | 0.469047 | + | 0.152403i | 0.0260180 | + | 0.00845378i | ||||
\(326\) | 0.869950 | + | 0.282664i | 0.0481821 | + | 0.0156553i | ||||
\(327\) | −30.0641 | + | 2.13463i | −1.66255 | + | 0.118045i | ||||
\(328\) | −9.29816 | + | 1.97639i | −0.513405 | + | 0.109128i | ||||
\(329\) | −1.97320 | + | 9.28317i | −0.108786 | + | 0.511798i | ||||
\(330\) | 6.55776 | + | 6.31920i | 0.360993 | + | 0.347861i | ||||
\(331\) | −8.47772 | − | 7.63337i | −0.465978 | − | 0.419568i | 0.402406 | − | 0.915461i | \(-0.368174\pi\) |
−0.868384 | + | 0.495893i | \(0.834841\pi\) | |||||||
\(332\) | −0.118486 | + | 1.12732i | −0.00650274 | + | 0.0618695i | ||||
\(333\) | −13.6657 | + | 3.43833i | −0.748875 | + | 0.188419i | ||||
\(334\) | 2.30975 | − | 0.242764i | 0.126384 | − | 0.0132835i | ||||
\(335\) | −8.55660 | − | 4.94015i | −0.467497 | − | 0.269909i | ||||
\(336\) | 0.693627 | + | 3.90928i | 0.0378404 | + | 0.213268i | ||||
\(337\) | 15.0019 | + | 20.6484i | 0.817206 | + | 1.12479i | 0.990171 | + | 0.139860i | \(0.0446651\pi\) |
−0.172965 | + | 0.984928i | \(0.555335\pi\) | |||||||
\(338\) | 9.48013 | − | 8.53594i | 0.515651 | − | 0.464294i | ||||
\(339\) | −17.3422 | − | 0.587014i | −0.941897 | − | 0.0318822i | ||||
\(340\) | 0.246003i | 0.0133414i | ||||||||
\(341\) | −29.1541 | + | 2.65486i | −1.57878 | + | 0.143768i | ||||
\(342\) | 4.44027 | − | 5.31478i | 0.240102 | − | 0.287390i | ||||
\(343\) | −6.19488 | − | 19.0659i | −0.334492 | − | 1.02946i | ||||
\(344\) | −0.767823 | − | 0.852754i | −0.0413983 | − | 0.0459774i | ||||
\(345\) | 0.143062 | + | 0.496910i | 0.00770223 | + | 0.0267527i | ||||
\(346\) | 8.98430 | + | 15.5613i | 0.482999 | + | 0.836579i | ||||
\(347\) | −6.19451 | + | 10.7292i | −0.332539 | + | 0.575974i | −0.983009 | − | 0.183558i | \(-0.941239\pi\) |
0.650470 | + | 0.759532i | \(0.274572\pi\) | |||||||
\(348\) | −0.410313 | + | 1.65321i | −0.0219951 | + | 0.0886216i | ||||
\(349\) | −7.18740 | − | 5.22195i | −0.384733 | − | 0.279525i | 0.378561 | − | 0.925576i | \(-0.376419\pi\) |
−0.763294 | + | 0.646052i | \(0.776419\pi\) | |||||||
\(350\) | −2.27972 | − | 0.239608i | −0.121856 | − | 0.0128076i | ||||
\(351\) | −0.524755 | + | 2.50836i | −0.0280093 | + | 0.133887i | ||||
\(352\) | −2.13858 | + | 4.80333i | −0.113987 | + | 0.256018i | ||||
\(353\) | 0.519568 | + | 0.110438i | 0.0276538 | + | 0.00587800i | 0.221718 | − | 0.975111i | \(-0.428834\pi\) |
−0.194064 | + | 0.980989i | \(0.562167\pi\) | |||||||
\(354\) | −25.0862 | − | 3.49826i | −1.33332 | − | 0.185930i | ||||
\(355\) | −5.93521 | + | 2.64252i | −0.315008 | + | 0.140251i | ||||
\(356\) | 4.35020 | − | 13.3886i | 0.230560 | − | 0.709592i | ||||
\(357\) | 0.600502 | − | 0.770306i | 0.0317819 | − | 0.0407689i | ||||
\(358\) | 0.417579 | + | 0.937898i | 0.0220697 | + | 0.0495695i | ||||
\(359\) | 4.33883 | + | 20.4126i | 0.228995 | + | 1.07733i | 0.930959 | + | 0.365123i | \(0.118973\pi\) |
−0.701965 | + | 0.712212i | \(0.747694\pi\) | |||||||
\(360\) | 1.85204 | + | 2.36007i | 0.0976112 | + | 0.124387i | ||||
\(361\) | −12.4889 | − | 5.56041i | −0.657310 | − | 0.292653i | ||||
\(362\) | −0.0495237 | + | 0.0550016i | −0.00260291 | + | 0.00289082i | ||||
\(363\) | 12.6109 | − | 25.9265i | 0.661900 | − | 1.36079i | ||||
\(364\) | 0.664500 | − | 0.914606i | 0.0348293 | − | 0.0479384i | ||||
\(365\) | 0.217182 | + | 2.06635i | 0.0113678 | + | 0.108158i | ||||
\(366\) | 15.4326 | − | 12.9776i | 0.806673 | − | 0.678352i | ||||
\(367\) | −10.5070 | + | 6.06625i | −0.548463 | + | 0.316656i | −0.748502 | − | 0.663132i | \(-0.769227\pi\) |
0.200039 | + | 0.979788i | \(0.435893\pi\) | |||||||
\(368\) | −0.241527 | + | 0.175480i | −0.0125905 | + | 0.00914753i | ||||
\(369\) | 28.4981 | − | 1.05627i | 1.48355 | − | 0.0549874i | ||||
\(370\) | 4.46730 | − | 1.45151i | 0.232244 | − | 0.0754606i | ||||
\(371\) | 11.0576 | 0.574084 | ||||||||
\(372\) | −9.63266 | − | 0.460247i | −0.499430 | − | 0.0238627i | ||||
\(373\) | 3.98423 | 0.206296 | 0.103148 | − | 0.994666i | \(-0.467109\pi\) | ||||
0.103148 | + | 0.994666i | \(0.467109\pi\) | |||||||
\(374\) | 1.23016 | − | 0.399702i | 0.0636098 | − | 0.0206681i | ||||
\(375\) | −1.60523 | + | 0.650557i | −0.0828939 | + | 0.0335946i | ||||
\(376\) | −3.34953 | + | 2.43357i | −0.172739 | + | 0.125502i | ||||
\(377\) | 0.420039 | − | 0.242510i | 0.0216331 | − | 0.0124899i | ||||
\(378\) | −0.0382541 | − | 11.9109i | −0.00196758 | − | 0.612633i | ||||
\(379\) | 2.74802 | + | 26.1456i | 0.141156 | + | 1.34301i | 0.804168 | + | 0.594402i | \(0.202611\pi\) |
−0.663012 | + | 0.748609i | \(0.730722\pi\) | |||||||
\(380\) | −1.35691 | + | 1.86762i | −0.0696078 | + | 0.0958070i | ||||
\(381\) | 7.88390 | + | 3.83479i | 0.403905 | + | 0.196462i | ||||
\(382\) | −0.933863 | + | 1.03716i | −0.0477806 | + | 0.0530657i | ||||
\(383\) | −34.4946 | − | 15.3580i | −1.76259 | − | 0.784757i | −0.988413 | − | 0.151791i | \(-0.951496\pi\) |
−0.774180 | − | 0.632965i | \(-0.781838\pi\) | |||||||
\(384\) | −0.916274 | + | 1.46984i | −0.0467584 | + | 0.0750077i | ||||
\(385\) | 2.50587 | + | 11.7892i | 0.127711 | + | 0.600832i | ||||
\(386\) | −6.56569 | − | 14.7468i | −0.334185 | − | 0.750592i | ||||
\(387\) | 1.83048 | + | 2.91548i | 0.0930487 | + | 0.148202i | ||||
\(388\) | −1.13313 | + | 3.48743i | −0.0575261 | + | 0.177047i | ||||
\(389\) | 26.2933 | − | 11.7065i | 1.33312 | − | 0.593545i | 0.388424 | − | 0.921481i | \(-0.373020\pi\) |
0.944700 | + | 0.327936i | \(0.106353\pi\) | |||||||
\(390\) | 0.117979 | − | 0.846036i | 0.00597410 | − | 0.0428407i | ||||
\(391\) | 0.0718381 | + | 0.0152697i | 0.00363301 | + | 0.000772219i | ||||
\(392\) | 0.709952 | − | 1.59458i | 0.0358580 | − | 0.0805384i | ||||
\(393\) | −5.65904 | − | 10.6157i | −0.285461 | − | 0.535490i | ||||
\(394\) | 21.9896 | + | 2.31120i | 1.10782 | + | 0.116436i | ||||
\(395\) | −2.94244 | − | 2.13781i | −0.148050 | − | 0.107565i | ||||
\(396\) | 8.79252 | − | 13.0958i | 0.441841 | − | 0.658091i | ||||
\(397\) | −13.9943 | + | 24.2388i | −0.702353 | + | 1.21651i | 0.265285 | + | 0.964170i | \(0.414534\pi\) |
−0.967638 | + | 0.252342i | \(0.918799\pi\) | |||||||
\(398\) | 4.24754 | + | 7.35696i | 0.212910 | + | 0.368771i | ||||
\(399\) | 8.80778 | − | 2.53580i | 0.440940 | − | 0.126949i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | 5.07464 | + | 15.6181i | 0.253415 | + | 0.779932i | 0.994138 | + | 0.108121i | \(0.0344833\pi\) |
−0.740723 | + | 0.671811i | \(0.765517\pi\) | |||||||
\(402\) | −5.83584 | + | 16.0874i | −0.291065 | + | 0.802367i | ||||
\(403\) | 1.80884 | + | 2.06599i | 0.0901045 | + | 0.102914i | ||||
\(404\) | 6.64729i | 0.330715i | ||||||||
\(405\) | −4.25923 | − | 7.92836i | −0.211643 | − | 0.393963i | ||||
\(406\) | −1.67529 | + | 1.50843i | −0.0831430 | + | 0.0748623i | ||||
\(407\) | −14.5168 | − | 19.9806i | −0.719569 | − | 0.990402i | ||||
\(408\) | 0.419538 | − | 0.0744390i | 0.0207702 | − | 0.00368528i | ||||
\(409\) | 4.78834 | + | 2.76455i | 0.236768 | + | 0.136698i | 0.613690 | − | 0.789547i | \(-0.289684\pi\) |
−0.376922 | + | 0.926245i | \(0.623018\pi\) | |||||||
\(410\) | −9.45382 | + | 0.993636i | −0.466891 | + | 0.0490722i | ||||
\(411\) | −7.18703 | − | 10.6306i | −0.354510 | − | 0.524371i | ||||
\(412\) | 0.770580 | − | 7.33157i | 0.0379637 | − | 0.361201i | ||||
\(413\) | −24.9113 | − | 22.4302i | −1.22581 | − | 1.10372i | ||||
\(414\) | 0.804147 | − | 0.394342i | 0.0395217 | − | 0.0193809i | ||||
\(415\) | −0.235673 | + | 1.10875i | −0.0115687 | + | 0.0544266i | ||||
\(416\) | 0.482408 | − | 0.102539i | 0.0236520 | − | 0.00502739i | ||||
\(417\) | −2.16809 | − | 30.5353i | −0.106172 | − | 1.49532i | ||||
\(418\) | 11.5438 | + | 3.75082i | 0.564627 | + | 0.183458i | ||||
\(419\) | 5.95487 | + | 1.93486i | 0.290915 | + | 0.0945239i | 0.450839 | − | 0.892605i | \(-0.351125\pi\) |
−0.159924 | + | 0.987129i | \(0.551125\pi\) | |||||||
\(420\) | 0.281196 | + | 3.96036i | 0.0137210 | + | 0.193246i | ||||
\(421\) | 7.31970 | − | 1.55585i | 0.356741 | − | 0.0758275i | −0.0260553 | − | 0.999661i | \(-0.508295\pi\) |
0.382796 | + | 0.923833i | \(0.374961\pi\) | |||||||
\(422\) | 3.28848 | − | 15.4711i | 0.160081 | − | 0.753121i | ||||
\(423\) | 11.1520 | − | 5.46878i | 0.542228 | − | 0.265901i | ||||
\(424\) | 3.58484 | + | 3.22780i | 0.174095 | + | 0.156756i | ||||
\(425\) | −0.0257144 | + | 0.244656i | −0.00124733 | + | 0.0118676i | ||||
\(426\) | 6.30255 | + | 9.32238i | 0.305360 | + | 0.451671i | ||||
\(427\) | 26.5396 | − | 2.78943i | 1.28434 | − | 0.134990i | ||||
\(428\) | 8.56957 | + | 4.94764i | 0.414226 | + | 0.239153i | ||||
\(429\) | −4.42234 | + | 0.784661i | −0.213513 | + | 0.0378838i | ||||
\(430\) | −0.674480 | − | 0.928342i | −0.0325263 | − | 0.0447686i | ||||
\(431\) | 18.7969 | − | 16.9248i | 0.905415 | − | 0.815239i | −0.0779356 | − | 0.996958i | \(-0.524833\pi\) |
0.983350 | + | 0.181719i | \(0.0581662\pi\) | |||||||
\(432\) | 3.46448 | − | 3.87264i | 0.166685 | − | 0.186323i | ||||
\(433\) | − | 22.8130i | − | 1.09632i | −0.836372 | − | 0.548162i | \(-0.815328\pi\) | ||
0.836372 | − | 0.548162i | \(-0.184672\pi\) | |||||||
\(434\) | −10.2200 | − | 7.64468i | −0.490577 | − | 0.366956i | ||||
\(435\) | −0.580874 | + | 1.60127i | −0.0278508 | + | 0.0767750i | ||||
\(436\) | −5.37727 | − | 16.5495i | −0.257525 | − | 0.792579i | ||||
\(437\) | 0.461159 | + | 0.512169i | 0.0220602 | + | 0.0245004i | ||||
\(438\) | 3.45827 | − | 0.995650i | 0.165242 | − | 0.0475740i | ||||
\(439\) | 3.60601 | + | 6.24579i | 0.172105 | + | 0.298095i | 0.939156 | − | 0.343492i | \(-0.111610\pi\) |
−0.767050 | + | 0.641587i | \(0.778276\pi\) | |||||||
\(440\) | −2.62895 | + | 4.55348i | −0.125330 | + | 0.217078i | ||||
\(441\) | −2.91888 | + | 4.34747i | −0.138994 | + | 0.207023i | ||||
\(442\) | −0.0981542 | − | 0.0713132i | −0.00466872 | − | 0.00339202i | ||||
\(443\) | 20.0595 | + | 2.10834i | 0.953054 | + | 0.100170i | 0.568275 | − | 0.822839i | \(-0.307611\pi\) |
0.384779 | + | 0.923009i | \(0.374278\pi\) | |||||||
\(444\) | −3.82721 | − | 7.17938i | −0.181631 | − | 0.340718i | ||||
\(445\) | 5.72586 | − | 12.8605i | 0.271432 | − | 0.609646i | ||||
\(446\) | 10.4762 | + | 2.22679i | 0.496064 | + | 0.105442i | ||||
\(447\) | 2.29179 | − | 16.4346i | 0.108398 | − | 0.777330i | ||||
\(448\) | −2.09410 | + | 0.932352i | −0.0989367 | + | 0.0440495i | ||||
\(449\) | 5.05783 | − | 15.5664i | 0.238694 | − | 0.734624i | −0.757916 | − | 0.652352i | \(-0.773782\pi\) |
0.996610 | − | 0.0822721i | \(-0.0262176\pi\) | |||||||
\(450\) | 1.59520 | + | 2.54073i | 0.0751985 | + | 0.119771i | ||||
\(451\) | 20.3291 | + | 45.6599i | 0.957261 | + | 2.15004i | ||||
\(452\) | −2.08291 | − | 9.79932i | −0.0979718 | − | 0.460921i | ||||
\(453\) | −7.98596 | + | 12.8107i | −0.375213 | + | 0.601900i | ||||
\(454\) | 17.6549 | + | 7.86045i | 0.828584 | + | 0.368909i | ||||
\(455\) | 0.756462 | − | 0.840137i | 0.0354635 | − | 0.0393862i | ||||
\(456\) | 3.59566 | + | 1.74896i | 0.168382 | + | 0.0819024i | ||||
\(457\) | −16.5597 | + | 22.7924i | −0.774628 | + | 1.06618i | 0.221227 | + | 0.975222i | \(0.428994\pi\) |
−0.995854 | + | 0.0909613i | \(0.971006\pi\) | |||||||
\(458\) | −2.11185 | − | 20.0929i | −0.0986801 | − | 0.938878i | ||||
\(459\) | −1.27827 | + | 0.00410538i | −0.0596643 | + | 0.000191623i | ||||
\(460\) | −0.258547 | + | 0.149272i | −0.0120548 | + | 0.00695985i | ||||
\(461\) | 20.9266 | − | 15.2041i | 0.974649 | − | 0.708124i | 0.0181429 | − | 0.999835i | \(-0.494225\pi\) |
0.956506 | + | 0.291711i | \(0.0942246\pi\) | |||||||
\(462\) | 19.3472 | − | 7.84086i | 0.900111 | − | 0.364790i | ||||
\(463\) | −14.8293 | + | 4.81833i | −0.689176 | + | 0.223927i | −0.632609 | − | 0.774472i | \(-0.718016\pi\) |
−0.0565680 | + | 0.998399i | \(0.518016\pi\) | |||||||
\(464\) | −0.983442 | −0.0456552 | ||||||||
\(465\) | −9.53178 | − | 1.46461i | −0.442026 | − | 0.0679198i | ||||
\(466\) | 14.5182 | 0.672544 | ||||||||
\(467\) | −34.4263 | + | 11.1858i | −1.59306 | + | 0.517616i | −0.965378 | − | 0.260855i | \(-0.915996\pi\) |
−0.627681 | + | 0.778471i | \(0.715996\pi\) | |||||||
\(468\) | −1.47854 | + | 0.0548016i | −0.0683456 | + | 0.00253320i | ||||
\(469\) | −18.3229 | + | 13.3124i | −0.846074 | + | 0.614708i | ||||
\(470\) | −3.58555 | + | 2.07012i | −0.165389 | + | 0.0954875i | ||||
\(471\) | −18.3802 | + | 15.4564i | −0.846913 | + | 0.712191i | ||||
\(472\) | −1.52859 | − | 14.5436i | −0.0703591 | − | 0.669422i | ||||
\(473\) | −3.54635 | + | 4.88113i | −0.163061 | + | 0.224435i | ||||
\(474\) | −2.75548 | + | 5.66496i | −0.126563 | + | 0.260200i | ||||
\(475\) | −1.54469 | + | 1.71556i | −0.0708754 | + | 0.0787151i | ||||
\(476\) | 0.515155 | + | 0.229362i | 0.0236121 | + | 0.0105128i | ||||
\(477\) | −8.93402 | − | 11.3847i | −0.409061 | − | 0.521269i | ||||
\(478\) | −1.71215 | − | 8.05503i | −0.0783119 | − | 0.368428i | ||||
\(479\) | 10.4039 | + | 23.3675i | 0.475365 | + | 1.06769i | 0.979017 | + | 0.203780i | \(0.0653228\pi\) |
−0.503652 | + | 0.863907i | \(0.668010\pi\) | |||||||
\(480\) | −1.06490 | + | 1.36602i | −0.0486056 | + | 0.0623498i | ||||
\(481\) | −0.715865 | + | 2.20321i | −0.0326406 | + | 0.100458i | ||||
\(482\) | −27.8129 | + | 12.3831i | −1.26684 | + | 0.564035i | ||||
\(483\) | 1.17396 | + | 0.163708i | 0.0534171 | + | 0.00744898i | ||||
\(484\) | 16.2818 | + | 3.46080i | 0.740081 | + | 0.157309i | ||||
\(485\) | −1.49146 | + | 3.34988i | −0.0677238 | + | 0.152110i | ||||
\(486\) | −12.2323 | + | 9.66283i | −0.554870 | + | 0.438315i | ||||
\(487\) | 29.7680 | + | 3.12874i | 1.34892 | + | 0.141777i | 0.751276 | − | 0.659988i | \(-0.229439\pi\) |
0.597640 | + | 0.801765i | \(0.296105\pi\) | |||||||
\(488\) | 9.41828 | + | 6.84278i | 0.426345 | + | 0.309758i | ||||
\(489\) | 0.381641 | − | 1.53769i | 0.0172584 | − | 0.0695367i | ||||
\(490\) | 0.872742 | − | 1.51163i | 0.0394264 | − | 0.0682886i | ||||
\(491\) | −12.2452 | − | 21.2093i | −0.552618 | − | 0.957162i | −0.998085 | − | 0.0618637i | \(-0.980296\pi\) |
0.445467 | − | 0.895298i | \(-0.353038\pi\) | |||||||
\(492\) | 4.55522 | + | 15.8220i | 0.205365 | + | 0.713311i | ||||
\(493\) | 0.161883 | + | 0.179789i | 0.00729084 | + | 0.00809730i | ||||
\(494\) | −0.351823 | − | 1.08280i | −0.0158292 | − | 0.0487174i | ||||
\(495\) | 10.1132 | − | 12.1050i | 0.454557 | − | 0.544081i | ||||
\(496\) | −1.08175 | − | 5.46167i | −0.0485721 | − | 0.245236i | ||||
\(497\) | 14.8927i | 0.668027i | ||||||||
\(498\) | 1.96220 | + | 0.0664184i | 0.0879282 | + | 0.00297628i | ||||
\(499\) | 13.2301 | − | 11.9125i | 0.592263 | − | 0.533276i | −0.317579 | − | 0.948232i | \(-0.602870\pi\) |
0.909841 | + | 0.414956i | \(0.136203\pi\) | |||||||
\(500\) | −0.587785 | − | 0.809017i | −0.0262866 | − | 0.0361803i | ||||
\(501\) | −0.702764 | − | 3.96077i | −0.0313972 | − | 0.176954i | ||||
\(502\) | −4.60944 | − | 2.66126i | −0.205729 | − | 0.118778i | ||||
\(503\) | −37.3797 | + | 3.92876i | −1.66668 | + | 0.175175i | −0.890388 | − | 0.455203i | \(-0.849567\pi\) |
−0.776289 | + | 0.630378i | \(0.782900\pi\) | |||||||
\(504\) | 6.66897 | − | 1.67794i | 0.297060 | − | 0.0747412i | ||||
\(505\) | −0.694831 | + | 6.61087i | −0.0309196 | + | 0.294180i | ||||
\(506\) | 1.16653 | + | 1.05035i | 0.0518584 | + | 0.0466936i | ||||
\(507\) | −15.9105 | − | 15.3317i | −0.706610 | − | 0.680905i | ||||
\(508\) | −1.05238 | + | 4.95106i | −0.0466918 | + | 0.219668i | ||||
\(509\) | −34.9145 | + | 7.42130i | −1.54756 | + | 0.328943i | −0.900964 | − | 0.433893i | \(-0.857140\pi\) |
−0.646592 | + | 0.762836i | \(0.723806\pi\) | |||||||
\(510\) | 0.425021 | − | 0.0301776i | 0.0188202 | − | 0.00133629i | ||||
\(511\) | 4.52963 | + | 1.47177i | 0.200379 | + | 0.0651071i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −9.72704 | − | 7.01949i | −0.429459 | − | 0.309918i | ||||
\(514\) | −27.6917 | + | 5.88605i | −1.22143 | + | 0.259622i | ||||
\(515\) | 1.53272 | − | 7.21086i | 0.0675396 | − | 0.317749i | ||||
\(516\) | −1.37911 | + | 1.43118i | −0.0607121 | + | 0.0630041i | ||||
\(517\) | 16.1775 | + | 14.5663i | 0.711486 | + | 0.640625i | ||||
\(518\) | 1.12549 | − | 10.7083i | 0.0494510 | − | 0.470495i | ||||
\(519\) | 25.7831 | − | 17.4311i | 1.13175 | − | 0.765141i | ||||
\(520\) | 0.490484 | − | 0.0515519i | 0.0215091 | − | 0.00226070i | ||||
\(521\) | −0.179023 | − | 0.103359i | −0.00784315 | − | 0.00452825i | 0.496073 | − | 0.868281i | \(-0.334775\pi\) |
−0.503916 | + | 0.863752i | \(0.668108\pi\) | |||||||
\(522\) | 2.90660 | + | 0.506097i | 0.127218 | + | 0.0221513i | ||||
\(523\) | −1.27828 | − | 1.75941i | −0.0558954 | − | 0.0769335i | 0.780154 | − | 0.625587i | \(-0.215141\pi\) |
−0.836050 | + | 0.548654i | \(0.815141\pi\) | |||||||
\(524\) | 5.16147 | − | 4.64741i | 0.225480 | − | 0.203023i | ||||
\(525\) | −0.134315 | + | 3.96806i | −0.00586197 | + | 0.173180i | ||||
\(526\) | 10.8749i | 0.474170i | ||||||||
\(527\) | −0.820416 | + | 1.09680i | −0.0357379 | + | 0.0477773i | ||||
\(528\) | 8.56106 | + | 3.10560i | 0.372573 | + | 0.135154i | ||||
\(529\) | −7.07985 | − | 21.7895i | −0.307820 | − | 0.947371i | ||||
\(530\) | 3.22780 | + | 3.58484i | 0.140207 | + | 0.155715i | ||||
\(531\) | −2.96658 | + | 43.7706i | −0.128739 | + | 1.89948i | ||||
\(532\) | 2.64586 | + | 4.58277i | 0.114713 | + | 0.198688i | ||||
\(533\) | 2.34408 | − | 4.06007i | 0.101533 | − | 0.175861i | ||||
\(534\) | −23.6651 | − | 5.87346i | −1.02409 | − | 0.254170i | ||||
\(535\) | 8.00545 | + | 5.81630i | 0.346106 | + | 0.251461i | ||||
\(536\) | −9.82618 | − | 1.03277i | −0.424427 | − | 0.0446090i | ||||
\(537\) | 1.56918 | − | 0.836505i | 0.0677152 | − | 0.0360979i | ||||
\(538\) | −7.36305 | + | 16.5377i | −0.317444 | + | 0.712990i | ||||
\(539\) | −8.97703 | − | 1.90813i | −0.386668 | − | 0.0821888i | ||||
\(540\) | 3.85031 | − | 3.48929i | 0.165691 | − | 0.150155i | ||||
\(541\) | 3.45918 | − | 1.54013i | 0.148722 | − | 0.0662152i | −0.331026 | − | 0.943622i | \(-0.607395\pi\) |
0.479748 | + | 0.877406i | \(0.340728\pi\) | |||||||
\(542\) | 3.86190 | − | 11.8857i | 0.165883 | − | 0.510534i | ||||
\(543\) | 0.101102 | + | 0.0788150i | 0.00433868 | + | 0.00338228i | ||||
\(544\) | 0.100059 | + | 0.224735i | 0.00428998 | + | 0.00963545i | ||||
\(545\) | −3.61792 | − | 17.0210i | −0.154974 | − | 0.729098i | ||||
\(546\) | −1.66168 | − | 1.03586i | −0.0711134 | − | 0.0443308i | ||||
\(547\) | −20.6667 | − | 9.20141i | −0.883644 | − | 0.393424i | −0.0858177 | − | 0.996311i | \(-0.527350\pi\) |
−0.797826 | + | 0.602887i | \(0.794017\pi\) | |||||||
\(548\) | 4.95735 | − | 5.50569i | 0.211767 | − | 0.235192i | ||||
\(549\) | −24.3146 | − | 25.0709i | −1.03772 | − | 1.07000i | ||||
\(550\) | −3.09052 | + | 4.25373i | −0.131780 | + | 0.181380i | ||||
\(551\) | 0.237309 | + | 2.25785i | 0.0101097 | + | 0.0961875i | ||||
\(552\) | 0.332806 | + | 0.395761i | 0.0141651 | + | 0.0168447i | ||||
\(553\) | −7.22015 | + | 4.16856i | −0.307032 | + | 0.177265i | ||||
\(554\) | −16.8416 | + | 12.2362i | −0.715532 | + | 0.519865i | ||||
\(555\) | −3.05579 | − | 7.54010i | −0.129711 | − | 0.320060i | ||||
\(556\) | 16.8089 | − | 5.46155i | 0.712857 | − | 0.231621i | ||||
\(557\) | 45.6302 | 1.93341 | 0.966707 | − | 0.255886i | \(-0.0823672\pi\) | ||||
0.966707 | + | 0.255886i | \(0.0823672\pi\) | |||||||
\(558\) | 0.386484 | + | 16.6988i | 0.0163612 | + | 0.706917i | ||||
\(559\) | 0.565927 | 0.0239362 | ||||||||
\(560\) | −2.18008 | + | 0.708351i | −0.0921253 | + | 0.0299333i | ||||
\(561\) | −0.841470 | − | 2.07631i | −0.0355269 | − | 0.0876618i | ||||
\(562\) | −15.7966 | + | 11.4769i | −0.666341 | + | 0.484125i | ||||
\(563\) | −39.2662 | + | 22.6703i | −1.65487 | + | 0.955441i | −0.679845 | + | 0.733356i | \(0.737953\pi\) |
−0.975027 | + | 0.222085i | \(0.928714\pi\) | |||||||
\(564\) | 4.61538 | + | 5.48845i | 0.194342 | + | 0.231105i | ||||
\(565\) | −1.04719 | − | 9.96336i | −0.0440557 | − | 0.419162i | ||||
\(566\) | 7.29076 | − | 10.0349i | 0.306454 | − | 0.421797i | ||||
\(567\) | −20.5739 | + | 1.52722i | −0.864021 | + | 0.0641374i | ||||
\(568\) | −4.34727 | + | 4.82813i | −0.182407 | + | 0.202584i | ||||
\(569\) | 13.9160 | + | 6.19581i | 0.583390 | + | 0.259742i | 0.677140 | − | 0.735854i | \(-0.263219\pi\) |
−0.0937505 | + | 0.995596i | \(0.529886\pi\) | |||||||
\(570\) | 3.39315 | + | 2.11523i | 0.142123 | + | 0.0885970i | ||||
\(571\) | 6.66608 | + | 31.3614i | 0.278967 | + | 1.31243i | 0.864846 | + | 0.502037i | \(0.167416\pi\) |
−0.585880 | + | 0.810398i | \(0.699251\pi\) | |||||||
\(572\) | −1.05472 | − | 2.36893i | −0.0440999 | − | 0.0990500i | ||||
\(573\) | 1.90646 | + | 1.48621i | 0.0796435 | + | 0.0620872i | ||||
\(574\) | −6.73351 | + | 20.7236i | −0.281051 | + | 0.864987i | ||||
\(575\) | −0.272734 | + | 0.121429i | −0.0113738 | + | 0.00506394i | ||||
\(576\) | 2.65185 | + | 1.40274i | 0.110494 | + | 0.0584475i | ||||
\(577\) | 2.48441 | + | 0.528077i | 0.103427 | + | 0.0219841i | 0.259335 | − | 0.965788i | \(-0.416497\pi\) |
−0.155907 | + | 0.987772i | \(0.549830\pi\) | |||||||
\(578\) | −6.88991 | + | 15.4750i | −0.286582 | + | 0.643675i | ||||
\(579\) | −24.6726 | + | 13.1526i | −1.02536 | + | 0.546602i | ||||
\(580\) | −0.978055 | − | 0.102798i | −0.0406115 | − | 0.00426844i | ||||
\(581\) | 2.10211 | + | 1.52727i | 0.0872102 | + | 0.0633619i | ||||
\(582\) | 6.16423 | + | 1.52991i | 0.255516 | + | 0.0634167i | ||||
\(583\) | 12.6817 | − | 21.9654i | 0.525223 | − | 0.909714i | ||||
\(584\) | 1.03887 | + | 1.79937i | 0.0429886 | + | 0.0744585i | ||||
\(585\) | −1.47617 | − | 0.100048i | −0.0610321 | − | 0.00413648i | ||||
\(586\) | 15.8274 | + | 17.5781i | 0.653823 | + | 0.726144i | ||||
\(587\) | −0.253816 | − | 0.781166i | −0.0104761 | − | 0.0322422i | 0.945682 | − | 0.325094i | \(-0.105396\pi\) |
−0.956158 | + | 0.292852i | \(0.905396\pi\) | |||||||
\(588\) | −2.84205 | − | 1.03098i | −0.117204 | − | 0.0425167i | ||||
\(589\) | −12.2782 | + | 3.80148i | −0.505914 | + | 0.156637i | ||||
\(590\) | − | 14.6237i | − | 0.602047i | ||||||
\(591\) | 1.29557 | − | 38.2749i | 0.0532925 | − | 1.57442i | ||||
\(592\) | 3.49070 | − | 3.14304i | 0.143467 | − | 0.129178i | ||||
\(593\) | −18.8065 | − | 25.8850i | −0.772292 | − | 1.06297i | −0.996091 | − | 0.0883335i | \(-0.971846\pi\) |
0.223799 | − | 0.974635i | \(-0.428154\pi\) | |||||||
\(594\) | −23.7043 | − | 13.5844i | −0.972599 | − | 0.557373i | ||||
\(595\) | 0.488358 | + | 0.281954i | 0.0200207 | + | 0.0115590i | ||||
\(596\) | 9.52786 | − | 1.00142i | 0.390276 | − | 0.0410197i | ||||
\(597\) | 12.1896 | − | 8.24097i | 0.498886 | − | 0.337281i | ||||
\(598\) | 0.0153905 | − | 0.146431i | 0.000629366 | − | 0.00598801i | ||||
\(599\) | −16.6153 | − | 14.9605i | −0.678883 | − | 0.611269i | 0.255809 | − | 0.966727i | \(-0.417658\pi\) |
−0.934692 | + | 0.355458i | \(0.884325\pi\) | |||||||
\(600\) | −1.20185 | + | 1.24722i | −0.0490653 | + | 0.0509176i | ||||
\(601\) | −2.67919 | + | 12.6046i | −0.109287 | + | 0.514153i | 0.889118 | + | 0.457679i | \(0.151319\pi\) |
−0.998404 | + | 0.0564739i | \(0.982014\pi\) | |||||||
\(602\) | −2.57289 | + | 0.546885i | −0.104863 | + | 0.0222894i | ||||
\(603\) | 28.5101 | + | 8.10912i | 1.16102 | + | 0.330229i | ||||
\(604\) | −8.28912 | − | 2.69330i | −0.337279 | − | 0.109589i | ||||
\(605\) | 15.8308 | + | 5.14375i | 0.643615 | + | 0.209123i | ||||
\(606\) | 11.4845 | − | 0.815432i | 0.466527 | − | 0.0331247i | ||||
\(607\) | 9.52421 | − | 2.02443i | 0.386576 | − | 0.0821692i | −0.0105241 | − | 0.999945i | \(-0.503350\pi\) |
0.397100 | + | 0.917775i | \(0.370017\pi\) | |||||||
\(608\) | −0.479966 | + | 2.25806i | −0.0194652 | + | 0.0915765i | ||||
\(609\) | 2.81163 | + | 2.70935i | 0.113933 | + | 0.109788i | ||||
\(610\) | 8.65142 | + | 7.78977i | 0.350286 | + | 0.315399i | ||||
\(611\) | 0.213437 | − | 2.03072i | 0.00863475 | − | 0.0821541i | ||||
\(612\) | −0.180074 | − | 0.715704i | −0.00727905 | − | 0.0289306i | ||||
\(613\) | −23.9041 | + | 2.51242i | −0.965478 | + | 0.101476i | −0.574128 | − | 0.818766i | \(-0.694659\pi\) |
−0.391351 | + | 0.920242i | \(0.627992\pi\) | |||||||
\(614\) | −2.14663 | − | 1.23936i | −0.0866311 | − | 0.0500165i | ||||
\(615\) | 2.87642 | + | 16.2115i | 0.115988 | + | 0.653710i | ||||
\(616\) | 7.08431 | + | 9.75071i | 0.285435 | + | 0.392867i | ||||
\(617\) | 23.3631 | − | 21.0362i | 0.940563 | − | 0.846887i | −0.0478220 | − | 0.998856i | \(-0.515228\pi\) |
0.988385 | + | 0.151969i | \(0.0485614\pi\) | |||||||
\(618\) | −12.7613 | − | 0.431957i | −0.513335 | − | 0.0173758i | ||||
\(619\) | − | 19.2249i | − | 0.772714i | −0.922349 | − | 0.386357i | \(-0.873733\pi\) | ||
0.922349 | − | 0.386357i | \(-0.126267\pi\) | |||||||
\(620\) | −0.504927 | − | 5.54482i | −0.0202783 | − | 0.222685i | ||||
\(621\) | −0.779952 | − | 1.34095i | −0.0312984 | − | 0.0538105i | ||||
\(622\) | −3.74264 | − | 11.5187i | −0.150066 | − | 0.461856i | ||||
\(623\) | −21.5926 | − | 23.9810i | −0.865089 | − | 0.960778i | ||||
\(624\) | −0.236334 | − | 0.820878i | −0.00946095 | − | 0.0328614i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −12.6012 | + | 21.8259i | −0.503645 | + | 0.872338i | ||||
\(627\) | 5.06419 | − | 20.4044i | 0.202244 | − | 0.814874i | ||||
\(628\) | −11.2172 | − | 8.14975i | −0.447614 | − | 0.325210i | ||||
\(629\) | −1.14920 | − | 0.120785i | −0.0458215 | − | 0.00481603i | ||||
\(630\) | 6.80783 | − | 0.971647i | 0.271230 | − | 0.0387113i | ||||
\(631\) | 2.78533 | − | 6.25596i | 0.110882 | − | 0.249046i | −0.849578 | − | 0.527463i | \(-0.823143\pi\) |
0.960460 | + | 0.278417i | \(0.0898099\pi\) | |||||||
\(632\) | −3.55757 | − | 0.756185i | −0.141513 | − | 0.0300794i | ||||
\(633\) | −27.1328 | − | 3.78365i | −1.07843 | − | 0.150387i | ||||
\(634\) | 28.3715 | − | 12.6318i | 1.12678 | − | 0.501673i | ||||
\(635\) | −1.56414 | + | 4.81394i | −0.0620711 | + | 0.191035i | ||||
\(636\) | 5.13692 | − | 6.58949i | 0.203692 | − | 0.261290i | ||||
\(637\) | 0.350138 | + | 0.786423i | 0.0138730 | + | 0.0311592i | ||||
\(638\) | 1.07508 | + | 5.05785i | 0.0425628 | + | 0.200242i | ||||
\(639\) | 15.3331 | − | 12.0325i | 0.606570 | − | 0.475999i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | −10.2974 | + | 11.4364i | −0.406723 | + | 0.451711i | −0.911354 | − | 0.411624i | \(-0.864962\pi\) |
0.504631 | + | 0.863335i | \(0.331628\pi\) | |||||||
\(642\) | 7.49681 | − | 15.4126i | 0.295875 | − | 0.608286i | ||||
\(643\) | −17.7966 | + | 24.4949i | −0.701829 | + | 0.965984i | 0.298106 | + | 0.954533i | \(0.403645\pi\) |
−0.999934 | + | 0.0114514i | \(0.996355\pi\) | |||||||
\(644\) | 0.0715336 | + | 0.680596i | 0.00281882 | + | 0.0268193i | ||||
\(645\) | −1.52116 | + | 1.27918i | −0.0598956 | + | 0.0503677i | ||||
\(646\) | 0.491817 | − | 0.283950i | 0.0193503 | − | 0.0111719i | ||||
\(647\) | 9.04964 | − | 6.57495i | 0.355778 | − | 0.258488i | −0.395511 | − | 0.918461i | \(-0.629432\pi\) |
0.751289 | + | 0.659973i | \(0.229432\pi\) | |||||||
\(648\) | −7.11576 | − | 5.51053i | −0.279533 | − | 0.216474i | ||||
\(649\) | −73.1266 | + | 23.7603i | −2.87047 | + | 0.932672i | ||||
\(650\) | 0.493185 | 0.0193443 | ||||||||
\(651\) | −11.9540 | + | 18.5949i | −0.468515 | + | 0.728793i | ||||
\(652\) | 0.914720 | 0.0358232 | ||||||||
\(653\) | 30.2394 | − | 9.82539i | 1.18336 | − | 0.384497i | 0.349746 | − | 0.936844i | \(-0.386268\pi\) |
0.833614 | + | 0.552347i | \(0.186268\pi\) | |||||||
\(654\) | −27.9330 | + | 11.3205i | −1.09227 | + | 0.442665i | ||||
\(655\) | 5.61898 | − | 4.08243i | 0.219552 | − | 0.159514i | ||||
\(656\) | −8.23234 | + | 4.75295i | −0.321419 | + | 0.185571i | ||||
\(657\) | −2.14442 | − | 5.85272i | −0.0836617 | − | 0.228336i | ||||
\(658\) | 0.992034 | + | 9.43857i | 0.0386735 | + | 0.367954i | ||||
\(659\) | 15.4621 | − | 21.2818i | 0.602320 | − | 0.829022i | −0.393599 | − | 0.919282i | \(-0.628770\pi\) |
0.995918 | + | 0.0902606i | \(0.0287700\pi\) | |||||||
\(660\) | 8.18954 | + | 3.98346i | 0.318778 | + | 0.155056i | ||||
\(661\) | −15.7873 | + | 17.5336i | −0.614055 | + | 0.681977i | −0.967324 | − | 0.253545i | \(-0.918403\pi\) |
0.353269 | + | 0.935522i | \(0.385070\pi\) | |||||||
\(662\) | −10.4216 | − | 4.64001i | −0.405048 | − | 0.180339i | ||||
\(663\) | −0.111167 | + | 0.178329i | −0.00431738 | + | 0.00692574i | ||||
\(664\) | 0.235673 | + | 1.10875i | 0.00914589 | + | 0.0430280i | ||||
\(665\) | 2.15234 | + | 4.83424i | 0.0834642 | + | 0.187464i | ||||
\(666\) | −11.9343 | + | 7.49298i | −0.462446 | + | 0.290347i | ||||
\(667\) | −0.0907278 | + | 0.279231i | −0.00351299 | + | 0.0108119i | ||||
\(668\) | 2.12168 | − | 0.944634i | 0.0820904 | − | 0.0365490i | ||||
\(669\) | 2.56210 | − | 18.3730i | 0.0990564 | − | 0.710340i | ||||
\(670\) | −9.66440 | − | 2.05423i | −0.373368 | − | 0.0793619i | ||||
\(671\) | 24.8966 | − | 55.9186i | 0.961121 | − | 2.15871i | ||||
\(672\) | 1.86771 | + | 3.50360i | 0.0720485 | + | 0.135154i | ||||
\(673\) | 30.6609 | + | 3.22259i | 1.18189 | + | 0.124222i | 0.675020 | − | 0.737799i | \(-0.264135\pi\) |
0.506872 | + | 0.862021i | \(0.330802\pi\) | |||||||
\(674\) | 20.6484 | + | 15.0019i | 0.795345 | + | 0.577852i | ||||
\(675\) | 4.19394 | − | 3.06771i | 0.161425 | − | 0.118076i | ||||
\(676\) | 6.37838 | − | 11.0477i | 0.245322 | − | 0.424911i | ||||
\(677\) | 13.3581 | + | 23.1369i | 0.513394 | + | 0.889224i | 0.999879 | + | 0.0155355i | \(0.00494531\pi\) |
−0.486486 | + | 0.873689i | \(0.661721\pi\) | |||||||
\(678\) | −16.6748 | + | 4.80074i | −0.640391 | + | 0.184371i | ||||
\(679\) | 5.62440 | + | 6.24652i | 0.215845 | + | 0.239720i | ||||
\(680\) | 0.0760193 | + | 0.233963i | 0.00291521 | + | 0.00897208i | ||||
\(681\) | 11.4148 | − | 31.4666i | 0.437415 | − | 1.20580i | ||||
\(682\) | −26.9068 | + | 11.5340i | −1.03032 | + | 0.441661i | ||||
\(683\) | 33.2948i | 1.27399i | 0.770868 | + | 0.636995i | \(0.219823\pi\) | ||||
−0.770868 | + | 0.636995i | \(0.780177\pi\) | |||||||
\(684\) | 2.58059 | − | 6.42677i | 0.0986714 | − | 0.245734i | ||||
\(685\) | 5.50569 | − | 4.95735i | 0.210362 | − | 0.189411i | ||||
\(686\) | −11.7834 | − | 16.2184i | −0.449891 | − | 0.619221i | ||||
\(687\) | −34.4554 | + | 6.11346i | −1.31456 | + | 0.233243i | ||||
\(688\) | −0.993759 | − | 0.573747i | −0.0378867 | − | 0.0218739i | ||||
\(689\) | −2.36603 | + | 0.248680i | −0.0901386 | + | 0.00947395i | ||||
\(690\) | 0.289614 | + | 0.428381i | 0.0110254 | + | 0.0163082i | ||||
\(691\) | −0.918469 | + | 8.73865i | −0.0349402 | + | 0.332434i | 0.963063 | + | 0.269275i | \(0.0867841\pi\) |
−0.998003 | + | 0.0631587i | \(0.979883\pi\) | |||||||
\(692\) | 13.3533 | + | 12.0233i | 0.507615 | + | 0.457059i | ||||
\(693\) | −15.9200 | − | 32.4643i | −0.604751 | − | 1.23322i | ||||
\(694\) | −2.57582 | + | 12.1183i | −0.0977769 | + | 0.460004i | ||||
\(695\) | 17.2877 | − | 3.67462i | 0.655761 | − | 0.139386i | ||||
\(696\) | 0.120640 | + | 1.69909i | 0.00457286 | + | 0.0644040i | ||||
\(697\) | 2.22403 | + | 0.722631i | 0.0842411 | + | 0.0273716i | ||||
\(698\) | −8.44929 | − | 2.74534i | −0.319810 | − | 0.103913i | ||||
\(699\) | −1.78097 | − | 25.0832i | −0.0673625 | − | 0.948732i | ||||
\(700\) | −2.24218 | + | 0.476590i | −0.0847465 | + | 0.0180134i | ||||
\(701\) | 0.149227 | − | 0.702060i | 0.00563624 | − | 0.0265164i | −0.975240 | − | 0.221151i | \(-0.929019\pi\) |
0.980876 | + | 0.194634i | \(0.0623520\pi\) | |||||||
\(702\) | 0.276055 | + | 2.54775i | 0.0104190 | + | 0.0961588i | ||||
\(703\) | −8.05830 | − | 7.25573i | −0.303925 | − | 0.273655i | ||||
\(704\) | −0.549600 | + | 5.22910i | −0.0207138 | + | 0.197079i | ||||
\(705\) | 4.01640 | + | 5.94082i | 0.151266 | + | 0.223744i | ||||
\(706\) | 0.528266 | − | 0.0555230i | 0.0198815 | − | 0.00208963i | ||||
\(707\) | 13.1960 | + | 7.61870i | 0.496286 | + | 0.286531i | ||||
\(708\) | −24.9394 | + | 4.42503i | −0.937281 | + | 0.166303i | ||||
\(709\) | −16.2152 | − | 22.3182i | −0.608973 | − | 0.838179i | 0.387520 | − | 0.921861i | \(-0.373332\pi\) |
−0.996492 | + | 0.0836823i | \(0.973332\pi\) | |||||||
\(710\) | −4.82813 | + | 4.34727i | −0.181197 | + | 0.163150i | ||||
\(711\) | 10.1254 | + | 4.06572i | 0.379731 | + | 0.152476i | ||||
\(712\) | − | 14.0776i | − | 0.527579i | ||||||
\(713\) | −1.65054 | − | 0.196723i | −0.0618133 | − | 0.00736733i | ||||
\(714\) | 0.333074 | − | 0.918170i | 0.0124650 | − | 0.0343616i | ||||
\(715\) | −0.801318 | − | 2.46620i | −0.0299676 | − | 0.0922308i | ||||
\(716\) | 0.686968 | + | 0.762955i | 0.0256732 | + | 0.0285130i | ||||
\(717\) | −13.7066 | + | 3.94620i | −0.511884 | + | 0.147374i | ||||
\(718\) | 10.4343 | + | 18.0727i | 0.389405 | + | 0.674469i | ||||
\(719\) | −5.47011 | + | 9.47450i | −0.204001 | + | 0.353339i | −0.949814 | − | 0.312816i | \(-0.898728\pi\) |
0.745813 | + | 0.666155i | \(0.232061\pi\) | |||||||
\(720\) | 2.49070 | + | 1.67225i | 0.0928229 | + | 0.0623211i | ||||
\(721\) | −13.6712 | − | 9.93272i | −0.509142 | − | 0.369914i | ||||
\(722\) | −13.5959 | − | 1.42899i | −0.505987 | − | 0.0531814i | ||||
\(723\) | 24.8062 | + | 46.5334i | 0.922552 | + | 1.73059i | ||||
\(724\) | −0.0301034 | + | 0.0676133i | −0.00111878 | + | 0.00251283i | ||||
\(725\) | −0.961952 | − | 0.204469i | −0.0357260 | − | 0.00759379i | ||||
\(726\) | 3.98192 | − | 28.5546i | 0.147783 | − | 1.05976i | ||||
\(727\) | 20.0221 | − | 8.91442i | 0.742579 | − | 0.330617i | −0.000339107 | − | 1.00000i | \(-0.500108\pi\) |
0.742918 | + | 0.669383i | \(0.233441\pi\) | |||||||
\(728\) | 0.349348 | − | 1.07518i | 0.0129477 | − | 0.0398490i | ||||
\(729\) | 18.1950 | + | 19.9484i | 0.673890 | + | 0.738831i | ||||
\(730\) | 0.845091 | + | 1.89810i | 0.0312782 | + | 0.0702520i | ||||
\(731\) | 0.0586909 | + | 0.276119i | 0.00217076 | + | 0.0102126i | ||||
\(732\) | 10.6669 | − | 17.1114i | 0.394261 | − | 0.632455i | ||||
\(733\) | 16.2709 | + | 7.24425i | 0.600978 | + | 0.267572i | 0.684593 | − | 0.728926i | \(-0.259980\pi\) |
−0.0836153 | + | 0.996498i | \(0.526647\pi\) | |||||||
\(734\) | −8.11822 | + | 9.01620i | −0.299649 | + | 0.332794i | ||||
\(735\) | −2.71871 | − | 1.32240i | −0.100281 | − | 0.0487776i | ||||
\(736\) | −0.175480 | + | 0.241527i | −0.00646828 | + | 0.00890282i | ||||
\(737\) | 5.43022 | + | 51.6651i | 0.200025 | + | 1.90311i | ||||
\(738\) | 26.7769 | − | 9.81097i | 0.985671 | − | 0.361147i | ||||
\(739\) | −14.7512 | + | 8.51661i | −0.542632 | + | 0.313288i | −0.746145 | − | 0.665784i | \(-0.768097\pi\) |
0.203513 | + | 0.979072i | \(0.434764\pi\) | |||||||
\(740\) | 3.80011 | − | 2.76094i | 0.139695 | − | 0.101494i | ||||
\(741\) | −1.82759 | + | 0.740673i | −0.0671383 | + | 0.0272093i | ||||
\(742\) | 10.5164 | − | 3.41700i | 0.386071 | − | 0.125442i | ||||
\(743\) | 22.1651 | 0.813159 | 0.406579 | − | 0.913615i | \(-0.366721\pi\) | ||||
0.406579 | + | 0.913615i | \(0.366721\pi\) | |||||||
\(744\) | −9.30343 | + | 2.53894i | −0.341080 | + | 0.0930819i | ||||
\(745\) | 9.58034 | 0.350996 | ||||||||
\(746\) | 3.78923 | − | 1.23120i | 0.138734 | − | 0.0450773i | ||||
\(747\) | −0.125955 | − | 3.39824i | −0.00460844 | − | 0.124335i | ||||
\(748\) | 1.04643 | − | 0.760278i | 0.0382614 | − | 0.0277985i | ||||
\(749\) | 19.6438 | − | 11.3413i | 0.717768 | − | 0.414404i | ||||
\(750\) | −1.32564 | + | 1.11476i | −0.0484054 | + | 0.0407053i | ||||
\(751\) | 2.67632 | + | 25.4635i | 0.0976602 | + | 0.929175i | 0.928166 | + | 0.372165i | \(0.121385\pi\) |
−0.830506 | + | 0.557009i | \(0.811949\pi\) | |||||||
\(752\) | −2.43357 | + | 3.34953i | −0.0887433 | + | 0.122145i | ||||
\(753\) | −4.03242 | + | 8.29019i | −0.146949 | + | 0.302111i | ||||
\(754\) | 0.324541 | − | 0.360440i | 0.0118191 | − | 0.0131264i | ||||
\(755\) | −7.96218 | − | 3.54499i | −0.289773 | − | 0.129015i | ||||
\(756\) | −3.71706 | − | 11.3162i | −0.135188 | − | 0.411565i | ||||
\(757\) | 5.87000 | + | 27.6162i | 0.213349 | + | 1.00373i | 0.946261 | + | 0.323403i | \(0.104827\pi\) |
−0.732913 | + | 0.680323i | \(0.761840\pi\) | |||||||
\(758\) | 10.6930 | + | 24.0168i | 0.388386 | + | 0.872329i | ||||
\(759\) | 1.67158 | − | 2.14426i | 0.0606746 | − | 0.0778316i | ||||
\(760\) | −0.713368 | + | 2.19552i | −0.0258766 | + | 0.0796399i | ||||
\(761\) | −24.3098 | + | 10.8234i | −0.881229 | + | 0.392348i | −0.796915 | − | 0.604091i | \(-0.793536\pi\) |
−0.0843135 | + | 0.996439i | \(0.526870\pi\) | |||||||
\(762\) | 8.68305 | + | 1.21085i | 0.314554 | + | 0.0438643i | ||||
\(763\) | −39.0167 | − | 8.29325i | −1.41250 | − | 0.300236i | ||||
\(764\) | −0.567656 | + | 1.27498i | −0.0205371 | + | 0.0461271i | ||||
\(765\) | −0.104276 | − | 0.730607i | −0.00377010 | − | 0.0264151i | ||||
\(766\) | −37.5522 | − | 3.94690i | −1.35682 | − | 0.142607i | ||||
\(767\) | 5.83478 | + | 4.23922i | 0.210682 | + | 0.153069i | ||||
\(768\) | −0.417222 | + | 1.68105i | −0.0150552 | + | 0.0606596i | ||||
\(769\) | 22.4723 | − | 38.9232i | 0.810372 | − | 1.40360i | −0.102232 | − | 0.994761i | \(-0.532599\pi\) |
0.912604 | − | 0.408844i | \(-0.134068\pi\) | |||||||
\(770\) | 6.02627 | + | 10.4378i | 0.217172 | + | 0.376153i | ||||
\(771\) | 13.5663 | + | 47.1209i | 0.488579 | + | 1.69702i | ||||
\(772\) | −10.8014 | − | 11.9961i | −0.388749 | − | 0.431750i | ||||
\(773\) | 6.01898 | + | 18.5245i | 0.216488 | + | 0.666280i | 0.999045 | + | 0.0437014i | \(0.0139150\pi\) |
−0.782557 | + | 0.622579i | \(0.786085\pi\) | |||||||
\(774\) | 2.64183 | + | 2.20713i | 0.0949585 | + | 0.0793338i | ||||
\(775\) | 0.0774309 | − | 5.56723i | 0.00278140 | − | 0.199981i | ||||
\(776\) | 3.66690i | 0.131634i | ||||||||
\(777\) | −18.6388 | − | 0.630903i | −0.668662 | − | 0.0226335i | ||||
\(778\) | 21.3889 | − | 19.2587i | 0.766830 | − | 0.690457i | ||||
\(779\) | 12.8986 | + | 17.7534i | 0.462141 | + | 0.636082i | ||||
\(780\) | −0.149235 | − | 0.841085i | −0.00534346 | − | 0.0301157i | ||||
\(781\) | 29.5834 | + | 17.0800i | 1.05858 | + | 0.611171i | ||||
\(782\) | 0.0730406 | − | 0.00767688i | 0.00261193 | − | 0.000274525i | ||||
\(783\) | 0.517828 | − | 5.08381i | 0.0185057 | − | 0.181681i | ||||
\(784\) | 0.182453 | − | 1.73592i | 0.00651617 | − | 0.0619972i | ||||
\(785\) | −10.3038 | − | 9.27761i | −0.367760 | − | 0.331132i | ||||
\(786\) | −8.66249 | − | 8.34737i | −0.308981 | − | 0.297741i | ||||
\(787\) | −5.46849 | + | 25.7272i | −0.194931 | + | 0.917077i | 0.766546 | + | 0.642190i | \(0.221974\pi\) |
−0.961477 | + | 0.274887i | \(0.911360\pi\) | |||||||
\(788\) | 21.6275 | − | 4.59707i | 0.770449 | − | 0.163764i | ||||
\(789\) | 18.7886 | − | 1.33404i | 0.668893 | − | 0.0474932i | ||||
\(790\) | −3.45904 | − | 1.12391i | −0.123067 | − | 0.0399869i | ||||
\(791\) | −21.8406 | − | 7.09643i | −0.776561 | − | 0.252320i | ||||
\(792\) | 4.31535 | − | 15.1719i | 0.153339 | − | 0.539111i | ||||
\(793\) | −5.61602 | + | 1.19372i | −0.199431 | + | 0.0423903i | ||||
\(794\) | −5.81915 | + | 27.3770i | −0.206514 | + | 0.971572i | ||||
\(795\) | 5.79757 | − | 6.01643i | 0.205619 | − | 0.213381i | ||||
\(796\) | 6.31308 | + | 5.68432i | 0.223761 | + | 0.201475i | ||||
\(797\) | 4.38422 | − | 41.7131i | 0.155297 | − | 1.47755i | −0.588147 | − | 0.808754i | \(-0.700142\pi\) |
0.743444 | − | 0.668798i | \(-0.233191\pi\) | |||||||
\(798\) | 7.59309 | − | 5.13344i | 0.268792 | − | 0.181722i | ||||
\(799\) | 1.01293 | − | 0.106464i | 0.0358350 | − | 0.00376641i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | −7.24456 | + | 41.6067i | −0.255974 | + | 1.47010i | ||||
\(802\) | 9.65253 | + | 13.2856i | 0.340843 | + | 0.469130i | ||||
\(803\) | 8.11850 | − | 7.30993i | 0.286496 | − | 0.257962i | ||||
\(804\) | −0.578932 | + | 17.1034i | −0.0204174 | + | 0.603191i | ||||
\(805\) | 0.684345i | 0.0241200i | ||||||||
\(806\) | 2.35873 | + | 1.40591i | 0.0830827 | + | 0.0495210i | ||||
\(807\) | 29.4754 | + | 10.6924i | 1.03758 | + | 0.376392i | ||||
\(808\) | 2.05412 | + | 6.32195i | 0.0722639 | + | 0.222405i | ||||
\(809\) | −26.4716 | − | 29.3997i | −0.930691 | − | 1.03364i | −0.999352 | − | 0.0359968i | \(-0.988539\pi\) |
0.0686611 | − | 0.997640i | \(-0.478127\pi\) | |||||||
\(810\) | −6.50077 | − | 6.22414i | −0.228414 | − | 0.218694i | ||||
\(811\) | −14.5537 | − | 25.2078i | −0.511050 | − | 0.885165i | −0.999918 | − | 0.0128073i | \(-0.995923\pi\) |
0.488868 | − | 0.872358i | \(-0.337410\pi\) | |||||||
\(812\) | −1.12716 | + | 1.95230i | −0.0395555 | + | 0.0685122i | ||||
\(813\) | −21.0087 | − | 5.21417i | −0.736807 | − | 0.182869i | ||||
\(814\) | −19.9806 | − | 14.5168i | −0.700320 | − | 0.508812i | ||||
\(815\) | 0.909709 | + | 0.0956143i | 0.0318657 | + | 0.00334922i | ||||
\(816\) | 0.376001 | − | 0.200440i | 0.0131627 | − | 0.00701680i | ||||
\(817\) | −1.07744 | + | 2.41998i | −0.0376950 | + | 0.0846644i | ||||
\(818\) | 5.40827 | + | 1.14956i | 0.189096 | + | 0.0401936i | ||||
\(819\) | −1.58582 | + | 2.99796i | −0.0554130 | + | 0.104757i | ||||
\(820\) | −8.68406 | + | 3.86639i | −0.303261 | + | 0.135020i | ||||
\(821\) | −7.94002 | + | 24.4369i | −0.277109 | + | 0.852853i | 0.711545 | + | 0.702640i | \(0.247996\pi\) |
−0.988654 | + | 0.150212i | \(0.952004\pi\) | |||||||
\(822\) | −10.1203 | − | 7.88943i | −0.352987 | − | 0.275175i | ||||
\(823\) | 15.1418 | + | 34.0091i | 0.527811 | + | 1.18548i | 0.959048 | + | 0.283245i | \(0.0914108\pi\) |
−0.431236 | + | 0.902239i | \(0.641922\pi\) | |||||||
\(824\) | −1.53272 | − | 7.21086i | −0.0533947 | − | 0.251202i | ||||
\(825\) | 7.72829 | + | 4.81768i | 0.269065 | + | 0.167730i | ||||
\(826\) | −30.6234 | − | 13.6344i | −1.06552 | − | 0.474402i | ||||
\(827\) | −4.15360 | + | 4.61304i | −0.144435 | + | 0.160411i | −0.811021 | − | 0.585016i | \(-0.801088\pi\) |
0.666587 | + | 0.745428i | \(0.267755\pi\) | |||||||
\(828\) | 0.642931 | − | 0.623537i | 0.0223434 | − | 0.0216694i | ||||
\(829\) | 5.37154 | − | 7.39329i | 0.186561 | − | 0.256779i | −0.705484 | − | 0.708726i | \(-0.749270\pi\) |
0.892045 | + | 0.451947i | \(0.149270\pi\) | |||||||
\(830\) | 0.118486 | + | 1.12732i | 0.00411270 | + | 0.0391297i | ||||
\(831\) | 23.2064 | + | 27.5963i | 0.805022 | + | 0.957305i | ||||
\(832\) | 0.427111 | − | 0.246593i | 0.0148074 | − | 0.00854906i | ||||
\(833\) | −0.347388 | + | 0.252392i | −0.0120363 | + | 0.00874487i | ||||
\(834\) | −11.4979 | − | 28.3708i | −0.398140 | − | 0.982401i | ||||
\(835\) | 2.20880 | − | 0.717683i | 0.0764387 | − | 0.0248364i | ||||
\(836\) | 12.1379 | 0.419798 | ||||||||
\(837\) | 28.8032 | − | 2.71620i | 0.995583 | − | 0.0938855i | ||||
\(838\) | 6.26133 | 0.216294 | ||||||||
\(839\) | 46.3048 | − | 15.0454i | 1.59862 | − | 0.519423i | 0.631854 | − | 0.775087i | \(-0.282294\pi\) |
0.966766 | + | 0.255664i | \(0.0822940\pi\) | |||||||
\(840\) | 1.49125 | + | 3.67963i | 0.0514531 | + | 0.126959i | ||||
\(841\) | 22.6790 | − | 16.4773i | 0.782036 | − | 0.568182i | ||||
\(842\) | 6.48067 | − | 3.74161i | 0.223339 | − | 0.128945i | ||||
\(843\) | 21.7665 | + | 25.8840i | 0.749678 | + | 0.891492i | ||||
\(844\) | −1.65330 | − | 15.7301i | −0.0569089 | − | 0.541452i | ||||
\(845\) | 7.49824 | − | 10.3204i | 0.257947 | − | 0.355034i | ||||
\(846\) | 8.91623 | − | 8.64727i | 0.306546 | − | 0.297299i | ||||
\(847\) | 25.5314 | − | 28.3555i | 0.877269 | − | 0.974306i | ||||
\(848\) | 4.40683 | + | 1.96205i | 0.151331 | + | 0.0673770i | ||||
\(849\) | −18.2316 | − | 11.3653i | −0.625708 | − | 0.390055i | ||||
\(850\) | 0.0511470 | + | 0.240628i | 0.00175433 | + | 0.00825346i | ||||
\(851\) | −0.570376 | − | 1.28109i | −0.0195522 | − | 0.0439150i | ||||
\(852\) | 8.87486 | + | 6.91851i | 0.304048 | + | 0.237024i | ||||
\(853\) | −8.50423 | + | 26.1733i | −0.291179 | + | 0.896158i | 0.693299 | + | 0.720650i | \(0.256157\pi\) |
−0.984478 | + | 0.175508i | \(0.943843\pi\) | |||||||
\(854\) | 24.3787 | − | 10.8541i | 0.834222 | − | 0.371419i | ||||
\(855\) | 3.23824 | − | 6.12182i | 0.110745 | − | 0.209362i | ||||
\(856\) | 9.67905 | + | 2.05735i | 0.330823 | + | 0.0703186i | ||||
\(857\) | 5.20493 | − | 11.6905i | 0.177797 | − | 0.399339i | −0.802559 | − | 0.596572i | \(-0.796529\pi\) |
0.980357 | + | 0.197233i | \(0.0631956\pi\) | |||||||
\(858\) | −3.96342 | + | 2.11284i | −0.135309 | + | 0.0721310i | ||||
\(859\) | 8.89673 | + | 0.935084i | 0.303552 | + | 0.0319046i | 0.255080 | − | 0.966920i | \(-0.417898\pi\) |
0.0484722 | + | 0.998825i | \(0.484565\pi\) | |||||||
\(860\) | −0.928342 | − | 0.674480i | −0.0316562 | − | 0.0229996i | ||||
\(861\) | 36.6302 | + | 9.09130i | 1.24835 | + | 0.309831i | ||||
\(862\) | 12.6469 | − | 21.9050i | 0.430754 | − | 0.746088i | ||||
\(863\) | 2.23790 | + | 3.87616i | 0.0761790 | + | 0.131946i | 0.901598 | − | 0.432574i | \(-0.142395\pi\) |
−0.825419 | + | 0.564520i | \(0.809061\pi\) | |||||||
\(864\) | 2.09821 | − | 4.75368i | 0.0713825 | − | 0.161724i | ||||
\(865\) | 12.0233 | + | 13.3533i | 0.408806 | + | 0.454025i | ||||
\(866\) | −7.04961 | − | 21.6965i | −0.239556 | − | 0.737276i | ||||
\(867\) | 27.5813 | + | 10.0054i | 0.936712 | + | 0.339800i | ||||
\(868\) | −12.0822 | − | 4.11236i | −0.410095 | − | 0.139583i | ||||
\(869\) | 19.1233i | 0.648712i | ||||||||
\(870\) | −0.0576244 | + | 1.70240i | −0.00195365 | + | 0.0577167i | ||||
\(871\) | 3.62121 | − | 3.26056i | 0.122700 | − | 0.110480i | ||||
\(872\) | −10.2282 | − | 14.0779i | −0.346370 | − | 0.476737i | ||||
\(873\) | 1.88705 | − | 10.8376i | 0.0638669 | − | 0.366798i | ||||
\(874\) | 0.596858 | + | 0.344596i | 0.0201890 | + | 0.0116561i | ||||
\(875\) | −2.27972 | + | 0.239608i | −0.0770685 | + | 0.00810022i | ||||
\(876\) | 2.98134 | − | 2.01558i | 0.100730 | − | 0.0681003i | ||||
\(877\) | 5.70869 | − | 54.3146i | 0.192769 | − | 1.83407i | −0.288476 | − | 0.957487i | \(-0.593149\pi\) |
0.481245 | − | 0.876586i | \(-0.340185\pi\) | |||||||
\(878\) | 5.35957 | + | 4.82578i | 0.180877 | + | 0.162862i | ||||
\(879\) | 28.4281 | − | 29.5013i | 0.958857 | − | 0.995055i | ||||
\(880\) | −1.09318 | + | 5.14300i | −0.0368511 | + | 0.173371i | ||||
\(881\) | −36.4811 | + | 7.75430i | −1.22908 | + | 0.261249i | −0.776294 | − | 0.630370i | \(-0.782903\pi\) |
−0.452786 | + | 0.891619i | \(0.649570\pi\) | |||||||
\(882\) | −1.43258 | + | 5.03668i | −0.0482375 | + | 0.169594i | ||||
\(883\) | 16.5694 | + | 5.38372i | 0.557605 | + | 0.181177i | 0.574243 | − | 0.818685i | \(-0.305296\pi\) |
−0.0166384 | + | 0.999862i | \(0.505296\pi\) | |||||||
\(884\) | −0.115387 | − | 0.0374916i | −0.00388089 | − | 0.00126098i | ||||
\(885\) | −25.2654 | + | 1.79391i | −0.849285 | + | 0.0603015i | ||||
\(886\) | 19.7292 | − | 4.19357i | 0.662815 | − | 0.140886i | ||||
\(887\) | 1.18091 | − | 5.55576i | 0.0396512 | − | 0.186544i | −0.953865 | − | 0.300236i | \(-0.902934\pi\) |
0.993516 | + | 0.113692i | \(0.0362678\pi\) | |||||||
\(888\) | −5.85844 | − | 5.64532i | −0.196596 | − | 0.189445i | ||||
\(889\) | 8.62251 | + | 7.76374i | 0.289190 | + | 0.260388i | ||||
\(890\) | 1.47151 | − | 14.0004i | 0.0493250 | − | 0.469296i | ||||
\(891\) | −20.5619 | + | 42.6204i | −0.688849 | + | 1.42784i | ||||
\(892\) | 10.6516 | − | 1.11953i | 0.356642 | − | 0.0374846i | ||||
\(893\) | 8.27728 | + | 4.77889i | 0.276989 | + | 0.159919i | ||||
\(894\) | −2.89895 | − | 16.3384i | −0.0969553 | − | 0.546439i | ||||
\(895\) | 0.603454 | + | 0.830583i | 0.0201712 | + | 0.0277633i | ||||
\(896\) | −1.70349 | + | 1.53383i | −0.0569096 | + | 0.0512417i | ||||
\(897\) | −0.254877 | − | 0.00862733i | −0.00851010 | − | 0.000288058i | ||||
\(898\) | − | 16.3675i | − | 0.546190i | ||||||
\(899\) | −4.01780 | − | 3.72011i | −0.134001 | − | 0.124073i | ||||
\(900\) | 2.30226 | + | 1.92344i | 0.0767419 | + | 0.0641146i | ||||
\(901\) | −0.366707 | − | 1.12861i | −0.0122168 | − | 0.0375994i | ||||
\(902\) | 33.4438 | + | 37.1431i | 1.11356 | + | 1.23673i | ||||
\(903\) | 1.26047 | + | 4.37810i | 0.0419459 | + | 0.145694i | ||||
\(904\) | −5.00912 | − | 8.67605i | −0.166601 | − | 0.288561i | ||||
\(905\) | −0.0370060 | + | 0.0640963i | −0.00123012 | + | 0.00213063i | ||||
\(906\) | −3.63637 | + | 14.6515i | −0.120810 | + | 0.486764i | ||||
\(907\) | 43.1516 | + | 31.3514i | 1.43282 | + | 1.04101i | 0.989482 | + | 0.144655i | \(0.0462071\pi\) |
0.443342 | + | 0.896353i | \(0.353793\pi\) | |||||||
\(908\) | 19.2198 | + | 2.02008i | 0.637831 | + | 0.0670388i | ||||
\(909\) | −2.81765 | − | 19.7418i | −0.0934554 | − | 0.654794i | ||||
\(910\) | 0.459822 | − | 1.03278i | 0.0152430 | − | 0.0342362i | ||||
\(911\) | 12.8223 | + | 2.72546i | 0.424822 | + | 0.0902987i | 0.415361 | − | 0.909657i | \(-0.363655\pi\) |
0.00946067 | + | 0.999955i | \(0.496989\pi\) | |||||||
\(912\) | 3.96013 | + | 0.552238i | 0.131133 | + | 0.0182864i | ||||
\(913\) | 5.44470 | − | 2.42413i | 0.180193 | − | 0.0802272i | ||||
\(914\) | −8.70592 | + | 26.7941i | −0.287966 | + | 0.886269i | ||||
\(915\) | 12.3971 | − | 15.9026i | 0.409836 | − | 0.525725i | ||||
\(916\) | −8.21752 | − | 18.4569i | −0.271515 | − | 0.609832i | ||||
\(917\) | −3.31013 | − | 15.5729i | −0.109310 | − | 0.514264i | ||||
\(918\) | −1.21443 | + | 0.398910i | −0.0400823 | + | 0.0131660i | ||||
\(919\) | −11.7942 | − | 5.25111i | −0.389054 | − | 0.173218i | 0.202881 | − | 0.979203i | \(-0.434969\pi\) |
−0.591936 | + | 0.805985i | \(0.701636\pi\) | |||||||
\(920\) | −0.199765 | + | 0.221862i | −0.00658606 | + | 0.00731456i | ||||
\(921\) | −1.87791 | + | 3.86078i | −0.0618793 | + | 0.127217i | ||||
\(922\) | 15.2041 | − | 20.9266i | 0.500719 | − | 0.689181i | ||||
\(923\) | −0.334927 | − | 3.18662i | −0.0110243 | − | 0.104889i | ||||
\(924\) | 15.9773 | − | 13.4357i | 0.525614 | − | 0.442002i | ||||
\(925\) | 4.06789 | − | 2.34860i | 0.133751 | − | 0.0772215i | ||||
\(926\) | −12.6146 | + | 9.16502i | −0.414540 | + | 0.301181i | ||||
\(927\) | 0.819155 | + | 22.1007i | 0.0269046 | + | 0.725882i | ||||
\(928\) | −0.935309 | + | 0.303900i | −0.0307030 | + | 0.00997602i | ||||
\(929\) | 56.9658 | 1.86899 | 0.934493 | − | 0.355980i | \(-0.115853\pi\) | ||||
0.934493 | + | 0.355980i | \(0.115853\pi\) | |||||||
\(930\) | −9.51786 | + | 1.55255i | −0.312103 | + | 0.0509102i | ||||
\(931\) | −4.02946 | −0.132060 | ||||||||
\(932\) | 13.8077 | − | 4.48638i | 0.452285 | − | 0.146956i | ||||
\(933\) | −19.4417 | + | 7.87917i | −0.636492 | + | 0.257952i | ||||
\(934\) | −29.2848 | + | 21.2766i | −0.958226 | + | 0.696192i | ||||
\(935\) | 1.12017 | − | 0.646731i | 0.0366335 | − | 0.0211504i | ||||
\(936\) | −1.38924 | + | 0.509014i | −0.0454088 | + | 0.0166376i | ||||
\(937\) | 2.03897 | + | 19.3996i | 0.0666104 | + | 0.633756i | 0.975994 | + | 0.217797i | \(0.0698872\pi\) |
−0.909384 | + | 0.415958i | \(0.863446\pi\) | |||||||
\(938\) | −13.3124 | + | 18.3229i | −0.434665 | + | 0.598264i | ||||
\(939\) | 39.2544 | + | 19.0937i | 1.28102 | + | 0.623098i | ||||
\(940\) | −2.77036 | + | 3.07680i | −0.0903593 | + | 0.100354i | ||||
\(941\) | 2.61682 | + | 1.16508i | 0.0853059 | + | 0.0379806i | 0.448946 | − | 0.893559i | \(-0.351800\pi\) |
−0.363640 | + | 0.931540i | \(0.618466\pi\) | |||||||
\(942\) | −12.7043 | + | 20.3797i | −0.413929 | + | 0.664005i | ||||
\(943\) | 0.590039 | + | 2.77592i | 0.0192143 | + | 0.0903962i | ||||
\(944\) | −5.94799 | − | 13.3594i | −0.193590 | − | 0.434811i | ||||
\(945\) | −2.51384 | − | 11.6427i | −0.0817753 | − | 0.378737i | ||||
\(946\) | −1.86443 | + | 5.73811i | −0.0606177 | + | 0.186562i | ||||
\(947\) | −40.8152 | + | 18.1721i | −1.32632 | + | 0.590514i | −0.942904 | − | 0.333064i | \(-0.891917\pi\) |
−0.383411 | + | 0.923578i | \(0.625251\pi\) | |||||||
\(948\) | −0.870050 | + | 6.23919i | −0.0282579 | + | 0.202639i | ||||
\(949\) | −1.00232 | − | 0.213049i | −0.0325365 | − | 0.00691586i | ||||
\(950\) | −0.938954 | + | 2.10893i | −0.0304637 | + | 0.0684226i | ||||
\(951\) | −25.3043 | − | 47.4679i | −0.820550 | − | 1.53925i | ||||
\(952\) | 0.560818 | + | 0.0589444i | 0.0181762 | + | 0.00191040i | ||||
\(953\) | 19.5581 | + | 14.2098i | 0.633548 | + | 0.460300i | 0.857628 | − | 0.514271i | \(-0.171938\pi\) |
−0.224080 | + | 0.974571i | \(0.571938\pi\) | |||||||
\(954\) | −12.0148 | − | 8.06672i | −0.388994 | − | 0.261170i | ||||
\(955\) | −0.697818 | + | 1.20866i | −0.0225809 | + | 0.0391112i | ||||
\(956\) | −4.11749 | − | 7.13170i | −0.133169 | − | 0.230656i | ||||
\(957\) | 8.60657 | − | 2.47787i | 0.278211 | − | 0.0800981i | ||||
\(958\) | 17.1156 | + | 19.0088i | 0.552980 | + | 0.614147i | ||||
\(959\) | −5.24792 | − | 16.1514i | −0.169464 | − | 0.521557i | ||||
\(960\) | −0.590653 | + | 1.62823i | −0.0190633 | + | 0.0525509i | ||||
\(961\) | 16.2406 | − | 26.4053i | 0.523892 | − | 0.851785i | ||||
\(962\) | 2.31659i | 0.0746898i | ||||||||
\(963\) | −27.5480 | − | 11.0616i | −0.887722 | − | 0.356454i | ||||
\(964\) | −22.6251 | + | 20.3717i | −0.728705 | + | 0.656129i | ||||
\(965\) | −9.48825 | − | 13.0595i | −0.305437 | − | 0.420399i | ||||
\(966\) | 1.16709 | − | 0.207078i | 0.0375506 | − | 0.00666264i | ||||
\(967\) | 33.7267 | + | 19.4721i | 1.08458 | + | 0.626182i | 0.932128 | − | 0.362129i | \(-0.117950\pi\) |
0.152451 | + | 0.988311i | \(0.451283\pi\) | |||||||
\(968\) | 16.5543 | − | 1.73993i | 0.532076 | − | 0.0559235i | ||||
\(969\) | −0.550913 | − | 0.814879i | −0.0176979 | − | 0.0261777i | ||||
\(970\) | −0.383295 | + | 3.64681i | −0.0123069 | + | 0.117092i | ||||
\(971\) | −36.7171 | − | 33.0602i | −1.17831 | − | 1.06095i | −0.996990 | − | 0.0775274i | \(-0.975297\pi\) |
−0.181317 | − | 0.983425i | \(-0.558036\pi\) | |||||||
\(972\) | −8.64765 | + | 12.9699i | −0.277374 | + | 0.416009i | ||||
\(973\) | 8.42323 | − | 39.6282i | 0.270036 | − | 1.27042i | ||||
\(974\) | 29.2779 | − | 6.22320i | 0.938124 | − | 0.199404i | ||||
\(975\) | −0.0604997 | − | 0.852077i | −0.00193754 | − | 0.0272883i | ||||
\(976\) | 11.0718 | + | 3.59746i | 0.354401 | + | 0.115152i | ||||
\(977\) | −17.8663 | − | 5.80511i | −0.571593 | − | 0.185722i | 0.00893793 | − | 0.999960i | \(-0.497155\pi\) |
−0.580531 | + | 0.814238i | \(0.697155\pi\) | |||||||
\(978\) | −0.112210 | − | 1.58036i | −0.00358808 | − | 0.0505344i | ||||
\(979\) | −72.4009 | + | 15.3893i | −2.31394 | + | 0.491844i | ||||
\(980\) | 0.362906 | − | 1.70734i | 0.0115926 | − | 0.0545390i | ||||
\(981\) | 22.9850 | + | 46.8712i | 0.733854 | + | 1.49648i | ||||
\(982\) | −18.1999 | − | 16.3873i | −0.580782 | − | 0.522939i | ||||
\(983\) | 4.54950 | − | 43.2856i | 0.145106 | − | 1.38059i | −0.643382 | − | 0.765545i | \(-0.722469\pi\) |
0.788488 | − | 0.615050i | \(-0.210864\pi\) | |||||||
\(984\) | 9.22154 | + | 13.6400i | 0.293972 | + | 0.434827i | ||||
\(985\) | 21.9896 | − | 2.31120i | 0.700646 | − | 0.0736409i | ||||
\(986\) | 0.209518 | + | 0.120965i | 0.00667240 | + | 0.00385231i | ||||
\(987\) | 16.1853 | − | 2.87178i | 0.515185 | − | 0.0914098i | ||||
\(988\) | −0.669206 | − | 0.921083i | −0.0212903 | − | 0.0293036i | ||||
\(989\) | −0.254585 | + | 0.229229i | −0.00809533 | + | 0.00728907i | ||||
\(990\) | 5.87761 | − | 14.6377i | 0.186803 | − | 0.465218i | ||||
\(991\) | − | 31.6454i | − | 1.00525i | −0.864504 | − | 0.502625i | \(-0.832368\pi\) | ||
0.864504 | − | 0.502625i | \(-0.167632\pi\) | |||||||
\(992\) | −2.71656 | − | 4.86007i | −0.0862507 | − | 0.154308i | ||||
\(993\) | −6.73812 | + | 18.5747i | −0.213828 | + | 0.589449i | ||||
\(994\) | 4.60208 | + | 14.1638i | 0.145969 | + | 0.449247i | ||||
\(995\) | 5.68432 | + | 6.31308i | 0.180205 | + | 0.200138i | ||||
\(996\) | 1.88669 | − | 0.543185i | 0.0597820 | − | 0.0172115i | ||||
\(997\) | 27.4671 | + | 47.5744i | 0.869892 | + | 1.50670i | 0.862106 | + | 0.506727i | \(0.169145\pi\) |
0.00778552 | + | 0.999970i | \(0.497522\pi\) | |||||||
\(998\) | 8.90146 | − | 15.4178i | 0.281771 | − | 0.488041i | ||||
\(999\) | 14.4096 | + | 19.6998i | 0.455900 | + | 0.623274i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.br.b.11.16 | yes | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.11 | ✓ | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.11 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.16 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.11 | ✓ | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.11.16 | yes | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.761.11 | yes | 176 | 31.17 | odd | 30 | inner | |
930.2.br.b.761.16 | yes | 176 | 93.17 | even | 30 | inner |