Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 169.4 | ||
Character | \(\chi\) | \(=\) | 690.169 |
Dual form | 690.2.r.a.49.4 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989821 | − | 0.142315i | −0.699909 | − | 0.100632i | ||||
\(3\) | −0.909632 | + | 0.415415i | −0.525176 | + | 0.239840i | ||||
\(4\) | 0.959493 | + | 0.281733i | 0.479746 | + | 0.140866i | ||||
\(5\) | 1.14908 | + | 1.91823i | 0.513886 | + | 0.857859i | ||||
\(6\) | 0.959493 | − | 0.281733i | 0.391711 | − | 0.115017i | ||||
\(7\) | −1.79620 | + | 2.79494i | −0.678898 | + | 1.05639i | 0.315318 | + | 0.948986i | \(0.397889\pi\) |
−0.994216 | + | 0.107400i | \(0.965747\pi\) | |||||||
\(8\) | −0.909632 | − | 0.415415i | −0.321603 | − | 0.146871i | ||||
\(9\) | 0.654861 | − | 0.755750i | 0.218287 | − | 0.251917i | ||||
\(10\) | −0.864395 | − | 2.06224i | −0.273346 | − | 0.652137i | ||||
\(11\) | 0.278576 | + | 1.93754i | 0.0839937 | + | 0.584189i | 0.987739 | + | 0.156117i | \(0.0498978\pi\) |
−0.903745 | + | 0.428072i | \(0.859193\pi\) | |||||||
\(12\) | −0.989821 | + | 0.142315i | −0.285737 | + | 0.0410828i | ||||
\(13\) | 1.82357 | + | 2.83753i | 0.505766 | + | 0.786988i | 0.996436 | − | 0.0843581i | \(-0.0268840\pi\) |
−0.490669 | + | 0.871346i | \(0.663248\pi\) | |||||||
\(14\) | 2.17567 | − | 2.51086i | 0.581473 | − | 0.671056i | ||||
\(15\) | −1.84210 | − | 1.26754i | −0.475629 | − | 0.327277i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −0.109270 | − | 0.372140i | −0.0265019 | − | 0.0902573i | 0.945180 | − | 0.326549i | \(-0.105886\pi\) |
−0.971682 | + | 0.236292i | \(0.924068\pi\) | |||||||
\(18\) | −0.755750 | + | 0.654861i | −0.178132 | + | 0.154352i | ||||
\(19\) | −6.81911 | − | 2.00227i | −1.56441 | − | 0.459353i | −0.619044 | − | 0.785357i | \(-0.712480\pi\) |
−0.945369 | + | 0.326004i | \(0.894298\pi\) | |||||||
\(20\) | 0.562109 | + | 2.16426i | 0.125691 | + | 0.483944i | ||||
\(21\) | 0.472819 | − | 3.28853i | 0.103178 | − | 0.717616i | ||||
\(22\) | − | 1.95746i | − | 0.417332i | ||||||
\(23\) | 1.90211 | − | 4.40250i | 0.396618 | − | 0.917984i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −2.35922 | + | 4.40841i | −0.471843 | + | 0.881683i | ||||
\(26\) | −1.40118 | − | 3.06816i | −0.274795 | − | 0.601716i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | −2.51086 | + | 2.17567i | −0.474508 | + | 0.411164i | ||||
\(29\) | 3.11550 | − | 0.914793i | 0.578534 | − | 0.169873i | 0.0206424 | − | 0.999787i | \(-0.493429\pi\) |
0.557891 | + | 0.829914i | \(0.311611\pi\) | |||||||
\(30\) | 1.64297 | + | 1.51679i | 0.299963 | + | 0.276927i | ||||
\(31\) | −1.26189 | + | 2.76315i | −0.226641 | + | 0.496276i | −0.988454 | − | 0.151522i | \(-0.951583\pi\) |
0.761812 | + | 0.647798i | \(0.224310\pi\) | |||||||
\(32\) | −0.755750 | − | 0.654861i | −0.133599 | − | 0.115764i | ||||
\(33\) | −1.05828 | − | 1.64672i | −0.184223 | − | 0.286657i | ||||
\(34\) | 0.0551970 | + | 0.383903i | 0.00946620 | + | 0.0658389i | ||||
\(35\) | −7.42531 | − | 0.233904i | −1.25511 | − | 0.0395370i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −0.196483 | − | 0.170254i | −0.0323017 | − | 0.0279896i | 0.638560 | − | 0.769572i | \(-0.279530\pi\) |
−0.670862 | + | 0.741582i | \(0.734076\pi\) | |||||||
\(38\) | 6.46475 | + | 2.95235i | 1.04872 | + | 0.478935i | ||||
\(39\) | −2.83753 | − | 1.82357i | −0.454368 | − | 0.292004i | ||||
\(40\) | −0.248381 | − | 2.22223i | −0.0392725 | − | 0.351365i | ||||
\(41\) | −2.95796 | − | 3.41367i | −0.461955 | − | 0.533125i | 0.476201 | − | 0.879336i | \(-0.342013\pi\) |
−0.938157 | + | 0.346211i | \(0.887468\pi\) | |||||||
\(42\) | −0.936013 | + | 3.18777i | −0.144430 | + | 0.491883i | ||||
\(43\) | −1.80615 | + | 0.824839i | −0.275435 | + | 0.125787i | −0.548344 | − | 0.836253i | \(-0.684741\pi\) |
0.272909 | + | 0.962040i | \(0.412014\pi\) | |||||||
\(44\) | −0.278576 | + | 1.93754i | −0.0419968 | + | 0.292094i | ||||
\(45\) | 2.20219 | + | 0.387755i | 0.328283 | + | 0.0578030i | ||||
\(46\) | −2.50929 | + | 4.08699i | −0.369975 | + | 0.602593i | ||||
\(47\) | − | 5.61408i | − | 0.818897i | −0.912333 | − | 0.409449i | \(-0.865721\pi\) | ||
0.912333 | − | 0.409449i | \(-0.134279\pi\) | |||||||
\(48\) | −0.989821 | − | 0.142315i | −0.142868 | − | 0.0205414i | ||||
\(49\) | −1.67744 | − | 3.67308i | −0.239634 | − | 0.524726i | ||||
\(50\) | 2.96258 | − | 4.02779i | 0.418973 | − | 0.569616i | ||||
\(51\) | 0.253988 | + | 0.293118i | 0.0355655 | + | 0.0410448i | ||||
\(52\) | 0.950276 | + | 3.23634i | 0.131780 | + | 0.448800i | ||||
\(53\) | −2.69288 | + | 4.19021i | −0.369896 | + | 0.575569i | −0.975446 | − | 0.220238i | \(-0.929317\pi\) |
0.605550 | + | 0.795807i | \(0.292953\pi\) | |||||||
\(54\) | 0.415415 | − | 0.909632i | 0.0565308 | − | 0.123785i | ||||
\(55\) | −3.39653 | + | 2.76076i | −0.457988 | + | 0.372261i | ||||
\(56\) | 2.79494 | − | 1.79620i | 0.373489 | − | 0.240027i | ||||
\(57\) | 7.03466 | − | 1.01143i | 0.931763 | − | 0.133967i | ||||
\(58\) | −3.21398 | + | 0.462100i | −0.422016 | + | 0.0606767i | ||||
\(59\) | −4.60409 | + | 2.95887i | −0.599401 | + | 0.385212i | −0.804869 | − | 0.593452i | \(-0.797765\pi\) |
0.205468 | + | 0.978664i | \(0.434128\pi\) | |||||||
\(60\) | −1.41038 | − | 1.73517i | −0.182079 | − | 0.224010i | ||||
\(61\) | −3.39270 | + | 7.42897i | −0.434390 | + | 0.951182i | 0.558204 | + | 0.829704i | \(0.311491\pi\) |
−0.992594 | + | 0.121478i | \(0.961237\pi\) | |||||||
\(62\) | 1.64228 | − | 2.55544i | 0.208570 | − | 0.324541i | ||||
\(63\) | 0.936013 | + | 3.18777i | 0.117927 | + | 0.401621i | ||||
\(64\) | 0.654861 | + | 0.755750i | 0.0818576 | + | 0.0944687i | ||||
\(65\) | −3.34760 | + | 6.75857i | −0.415218 | + | 0.838298i | ||||
\(66\) | 0.813158 | + | 1.78057i | 0.100093 | + | 0.219173i | ||||
\(67\) | −10.6750 | − | 1.53484i | −1.30416 | − | 0.187510i | −0.545013 | − | 0.838428i | \(-0.683475\pi\) |
−0.759148 | + | 0.650918i | \(0.774384\pi\) | |||||||
\(68\) | − | 0.387851i | − | 0.0470339i | ||||||
\(69\) | 0.0986422 | + | 4.79482i | 0.0118751 | + | 0.577228i | ||||
\(70\) | 7.31644 | + | 1.28825i | 0.874482 | + | 0.153976i | ||||
\(71\) | 0.136656 | − | 0.950464i | 0.0162181 | − | 0.112799i | −0.980104 | − | 0.198483i | \(-0.936398\pi\) |
0.996322 | + | 0.0856840i | \(0.0273075\pi\) | |||||||
\(72\) | −0.909632 | + | 0.415415i | −0.107201 | + | 0.0489571i | ||||
\(73\) | −3.05209 | + | 10.3945i | −0.357220 | + | 1.21658i | 0.563422 | + | 0.826169i | \(0.309485\pi\) |
−0.920641 | + | 0.390409i | \(0.872334\pi\) | |||||||
\(74\) | 0.170254 | + | 0.196483i | 0.0197916 | + | 0.0228407i | ||||
\(75\) | 0.314697 | − | 4.99009i | 0.0363381 | − | 0.576206i | ||||
\(76\) | −5.97879 | − | 3.84233i | −0.685814 | − | 0.440746i | ||||
\(77\) | −5.91566 | − | 2.70159i | −0.674152 | − | 0.307875i | ||||
\(78\) | 2.54912 | + | 2.20883i | 0.288631 | + | 0.250100i | ||||
\(79\) | −12.9957 | + | 8.35185i | −1.46213 | + | 0.939657i | −0.463572 | + | 0.886059i | \(0.653432\pi\) |
−0.998563 | + | 0.0535973i | \(0.982931\pi\) | |||||||
\(80\) | −0.0704032 | + | 2.23496i | −0.00787132 | + | 0.249876i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 2.44204 | + | 3.79988i | 0.269678 | + | 0.419627i | ||||
\(83\) | 9.23132 | + | 7.99898i | 1.01327 | + | 0.878003i | 0.992557 | − | 0.121783i | \(-0.0388612\pi\) |
0.0207122 | + | 0.999785i | \(0.493407\pi\) | |||||||
\(84\) | 1.38015 | − | 3.02211i | 0.150587 | − | 0.329740i | ||||
\(85\) | 0.588290 | − | 0.637226i | 0.0638091 | − | 0.0691169i | ||||
\(86\) | 1.90515 | − | 0.559402i | 0.205438 | − | 0.0603219i | ||||
\(87\) | −2.45394 | + | 2.12635i | −0.263090 | + | 0.227969i | ||||
\(88\) | 0.551480 | − | 1.87817i | 0.0587880 | − | 0.200213i | ||||
\(89\) | −1.20387 | − | 2.63611i | −0.127610 | − | 0.279427i | 0.835034 | − | 0.550199i | \(-0.185448\pi\) |
−0.962643 | + | 0.270772i | \(0.912721\pi\) | |||||||
\(90\) | −2.12459 | − | 0.697212i | −0.223952 | − | 0.0734926i | ||||
\(91\) | −11.2062 | −1.17473 | ||||||||
\(92\) | 3.06539 | − | 3.68828i | 0.319589 | − | 0.384530i | ||||
\(93\) | − | 3.03765i | − | 0.314990i | ||||||
\(94\) | −0.798966 | + | 5.55693i | −0.0824071 | + | 0.573154i | ||||
\(95\) | −3.99491 | − | 15.3814i | −0.409869 | − | 1.57810i | ||||
\(96\) | 0.959493 | + | 0.281733i | 0.0979278 | + | 0.0287542i | ||||
\(97\) | 0.409330 | − | 0.354687i | 0.0415612 | − | 0.0360130i | −0.633833 | − | 0.773470i | \(-0.718519\pi\) |
0.675394 | + | 0.737457i | \(0.263974\pi\) | |||||||
\(98\) | 1.13763 | + | 3.87442i | 0.114918 | + | 0.391375i | ||||
\(99\) | 1.64672 | + | 1.05828i | 0.165502 | + | 0.106361i | ||||
\(100\) | −3.50564 | + | 3.56517i | −0.350564 | + | 0.356517i | ||||
\(101\) | 7.16014 | − | 8.26324i | 0.712460 | − | 0.822223i | −0.277919 | − | 0.960605i | \(-0.589645\pi\) |
0.990379 | + | 0.138382i | \(0.0441900\pi\) | |||||||
\(102\) | −0.209688 | − | 0.326281i | −0.0207622 | − | 0.0323066i | ||||
\(103\) | 14.8984 | − | 2.14207i | 1.46798 | − | 0.211064i | 0.638512 | − | 0.769612i | \(-0.279550\pi\) |
0.829472 | + | 0.558548i | \(0.188641\pi\) | |||||||
\(104\) | −0.480024 | − | 3.33864i | −0.0470702 | − | 0.327381i | ||||
\(105\) | 6.85147 | − | 2.87182i | 0.668635 | − | 0.280261i | ||||
\(106\) | 3.26180 | − | 3.76432i | 0.316814 | − | 0.365623i | ||||
\(107\) | −5.48818 | − | 2.50637i | −0.530563 | − | 0.242300i | 0.132075 | − | 0.991240i | \(-0.457836\pi\) |
−0.662638 | + | 0.748940i | \(0.730563\pi\) | |||||||
\(108\) | −0.540641 | + | 0.841254i | −0.0520232 | + | 0.0809497i | ||||
\(109\) | 4.83695 | − | 1.42026i | 0.463296 | − | 0.136036i | −0.0417505 | − | 0.999128i | \(-0.513293\pi\) |
0.505047 | + | 0.863092i | \(0.331475\pi\) | |||||||
\(110\) | 3.75486 | − | 2.24928i | 0.358012 | − | 0.214461i | ||||
\(111\) | 0.249454 | + | 0.0732462i | 0.0236771 | + | 0.00695222i | ||||
\(112\) | −3.02211 | + | 1.38015i | −0.285563 | + | 0.130412i | ||||
\(113\) | 5.52512 | + | 0.794393i | 0.519760 | + | 0.0747302i | 0.397202 | − | 0.917731i | \(-0.369981\pi\) |
0.122558 | + | 0.992461i | \(0.460890\pi\) | |||||||
\(114\) | −7.10700 | −0.665631 | ||||||||
\(115\) | 10.6307 | − | 1.41015i | 0.991317 | − | 0.131497i | ||||
\(116\) | 3.24703 | 0.301479 | ||||||||
\(117\) | 3.33864 | + | 0.480024i | 0.308657 | + | 0.0443782i | ||||
\(118\) | 4.97832 | − | 2.27352i | 0.458291 | − | 0.209295i | ||||
\(119\) | 1.23638 | + | 0.363034i | 0.113339 | + | 0.0332792i | ||||
\(120\) | 1.14908 | + | 1.91823i | 0.104896 | + | 0.175110i | ||||
\(121\) | 6.87798 | − | 2.01956i | 0.625271 | − | 0.183596i | ||||
\(122\) | 4.41542 | − | 6.87052i | 0.399753 | − | 0.622028i | ||||
\(123\) | 4.10874 | + | 1.87640i | 0.370473 | + | 0.169189i | ||||
\(124\) | −1.98924 | + | 2.29570i | −0.178639 | + | 0.206160i | ||||
\(125\) | −11.1673 | + | 0.540115i | −0.998832 | + | 0.0483094i | ||||
\(126\) | −0.472819 | − | 3.28853i | −0.0421221 | − | 0.292966i | ||||
\(127\) | 0.896971 | − | 0.128965i | 0.0795933 | − | 0.0114438i | −0.102403 | − | 0.994743i | \(-0.532653\pi\) |
0.181996 | + | 0.983299i | \(0.441744\pi\) | |||||||
\(128\) | −0.540641 | − | 0.841254i | −0.0477863 | − | 0.0743570i | ||||
\(129\) | 1.30028 | − | 1.50060i | 0.114483 | − | 0.132121i | ||||
\(130\) | 4.27537 | − | 6.21337i | 0.374975 | − | 0.544948i | ||||
\(131\) | 14.9752 | + | 9.62395i | 1.30839 | + | 0.840848i | 0.994099 | − | 0.108480i | \(-0.0345983\pi\) |
0.314287 | + | 0.949328i | \(0.398235\pi\) | |||||||
\(132\) | −0.551480 | − | 1.87817i | −0.0480002 | − | 0.163474i | ||||
\(133\) | 17.8447 | − | 15.4625i | 1.54733 | − | 1.34077i | ||||
\(134\) | 10.3479 | + | 3.03843i | 0.893925 | + | 0.262480i | ||||
\(135\) | −2.16426 | + | 0.562109i | −0.186270 | + | 0.0483787i | ||||
\(136\) | −0.0551970 | + | 0.383903i | −0.00473310 | + | 0.0329194i | ||||
\(137\) | − | 9.96697i | − | 0.851536i | −0.904832 | − | 0.425768i | \(-0.860004\pi\) | ||
0.904832 | − | 0.425768i | \(-0.139996\pi\) | |||||||
\(138\) | 0.584735 | − | 4.76005i | 0.0497760 | − | 0.405202i | ||||
\(139\) | −19.3603 | −1.64212 | −0.821058 | − | 0.570844i | \(-0.806616\pi\) | ||||
−0.821058 | + | 0.570844i | \(0.806616\pi\) | |||||||
\(140\) | −7.05863 | − | 2.31638i | −0.596563 | − | 0.195770i | ||||
\(141\) | 2.33217 | + | 5.10674i | 0.196404 | + | 0.430065i | ||||
\(142\) | −0.270530 | + | 0.921342i | −0.0227024 | + | 0.0773173i | ||||
\(143\) | −4.98981 | + | 4.32369i | −0.417268 | + | 0.361565i | ||||
\(144\) | 0.959493 | − | 0.281733i | 0.0799577 | − | 0.0234777i | ||||
\(145\) | 5.33475 | + | 4.92507i | 0.443027 | + | 0.409005i | ||||
\(146\) | 4.50031 | − | 9.85429i | 0.372448 | − | 0.815547i | ||||
\(147\) | 3.05171 | + | 2.64432i | 0.251700 | + | 0.218100i | ||||
\(148\) | −0.140558 | − | 0.218713i | −0.0115538 | − | 0.0179781i | ||||
\(149\) | −0.564246 | − | 3.92442i | −0.0462249 | − | 0.321501i | −0.999793 | − | 0.0203249i | \(-0.993530\pi\) |
0.953569 | − | 0.301176i | \(-0.0973792\pi\) | |||||||
\(150\) | −1.02166 | + | 4.89451i | −0.0834179 | + | 0.399635i | ||||
\(151\) | 5.23526 | − | 3.36450i | 0.426039 | − | 0.273799i | −0.310002 | − | 0.950736i | \(-0.600330\pi\) |
0.736041 | + | 0.676937i | \(0.236693\pi\) | |||||||
\(152\) | 5.37111 | + | 4.65409i | 0.435655 | + | 0.377497i | ||||
\(153\) | −0.352802 | − | 0.161119i | −0.0285223 | − | 0.0130257i | ||||
\(154\) | 5.47097 | + | 3.51598i | 0.440864 | + | 0.283326i | ||||
\(155\) | −6.75036 | + | 0.754496i | −0.542202 | + | 0.0606026i | ||||
\(156\) | −2.20883 | − | 2.54912i | −0.176848 | − | 0.204093i | ||||
\(157\) | 2.55360 | − | 8.69677i | 0.203800 | − | 0.694078i | −0.792634 | − | 0.609698i | \(-0.791291\pi\) |
0.996434 | − | 0.0843801i | \(-0.0268910\pi\) | |||||||
\(158\) | 14.0520 | − | 6.41736i | 1.11792 | − | 0.510537i | ||||
\(159\) | 0.708857 | − | 4.93021i | 0.0562160 | − | 0.390991i | ||||
\(160\) | 0.387755 | − | 2.20219i | 0.0306547 | − | 0.174099i | ||||
\(161\) | 8.88813 | + | 13.2240i | 0.700483 | + | 1.04220i | ||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | 20.0244 | + | 2.87908i | 1.56843 | + | 0.225507i | 0.871051 | − | 0.491192i | \(-0.163439\pi\) |
0.697383 | + | 0.716699i | \(0.254348\pi\) | |||||||
\(164\) | −1.87640 | − | 4.10874i | −0.146522 | − | 0.320839i | ||||
\(165\) | 1.94273 | − | 3.92225i | 0.151242 | − | 0.305347i | ||||
\(166\) | −7.99898 | − | 9.23132i | −0.620842 | − | 0.716489i | ||||
\(167\) | 4.95661 | + | 16.8806i | 0.383554 | + | 1.30626i | 0.894660 | + | 0.446747i | \(0.147417\pi\) |
−0.511107 | + | 0.859517i | \(0.670764\pi\) | |||||||
\(168\) | −1.79620 | + | 2.79494i | −0.138580 | + | 0.215634i | ||||
\(169\) | 0.674242 | − | 1.47638i | 0.0518647 | − | 0.113568i | ||||
\(170\) | −0.672989 | + | 0.547017i | −0.0516159 | + | 0.0419543i | ||||
\(171\) | −5.97879 | + | 3.84233i | −0.457209 | + | 0.293831i | ||||
\(172\) | −1.96537 | + | 0.282577i | −0.149858 | + | 0.0215463i | ||||
\(173\) | −4.33953 | + | 0.623930i | −0.329928 | + | 0.0474365i | −0.305289 | − | 0.952260i | \(-0.598753\pi\) |
−0.0246396 | + | 0.999696i | \(0.507844\pi\) | |||||||
\(174\) | 2.73157 | − | 1.75547i | 0.207080 | − | 0.133082i | ||||
\(175\) | −8.08362 | − | 14.5122i | −0.611064 | − | 1.09702i | ||||
\(176\) | −0.813158 | + | 1.78057i | −0.0612941 | + | 0.134215i | ||||
\(177\) | 2.95887 | − | 4.60409i | 0.222402 | − | 0.346064i | ||||
\(178\) | 0.816458 | + | 2.78060i | 0.0611961 | + | 0.208415i | ||||
\(179\) | 13.2837 | + | 15.3303i | 0.992874 | + | 1.14584i | 0.989308 | + | 0.145844i | \(0.0465897\pi\) |
0.00356615 | + | 0.999994i | \(0.498865\pi\) | |||||||
\(180\) | 2.00374 | + | 0.992477i | 0.149350 | + | 0.0739748i | ||||
\(181\) | 5.71645 | + | 12.5173i | 0.424900 | + | 0.930401i | 0.994127 | + | 0.108221i | \(0.0345153\pi\) |
−0.569227 | + | 0.822181i | \(0.692757\pi\) | |||||||
\(182\) | 11.0921 | + | 1.59481i | 0.822203 | + | 0.118215i | ||||
\(183\) | − | 8.16701i | − | 0.603722i | ||||||
\(184\) | −3.55908 | + | 3.21449i | −0.262379 | + | 0.236975i | ||||
\(185\) | 0.100810 | − | 0.572536i | 0.00741172 | − | 0.0420937i | ||||
\(186\) | −0.432303 | + | 3.00673i | −0.0316980 | + | 0.220464i | ||||
\(187\) | 0.690595 | − | 0.315384i | 0.0505013 | − | 0.0230632i | ||||
\(188\) | 1.58167 | − | 5.38667i | 0.115355 | − | 0.392863i | ||||
\(189\) | −2.17567 | − | 2.51086i | −0.158257 | − | 0.182638i | ||||
\(190\) | 1.76525 | + | 15.7934i | 0.128064 | + | 1.14577i | ||||
\(191\) | −18.4371 | − | 11.8488i | −1.33406 | − | 0.857348i | −0.337590 | − | 0.941293i | \(-0.609612\pi\) |
−0.996470 | + | 0.0839451i | \(0.973248\pi\) | |||||||
\(192\) | −0.909632 | − | 0.415415i | −0.0656470 | − | 0.0299800i | ||||
\(193\) | 16.3177 | + | 14.1394i | 1.17458 | + | 1.01778i | 0.999448 | + | 0.0332296i | \(0.0105792\pi\) |
0.175128 | + | 0.984546i | \(0.443966\pi\) | |||||||
\(194\) | −0.455641 | + | 0.292823i | −0.0327131 | + | 0.0210235i | ||||
\(195\) | 0.237468 | − | 7.53846i | 0.0170055 | − | 0.539840i | ||||
\(196\) | −0.574665 | − | 3.99688i | −0.0410475 | − | 0.285492i | ||||
\(197\) | 0.589949 | + | 0.917979i | 0.0420321 | + | 0.0654033i | 0.861634 | − | 0.507531i | \(-0.169442\pi\) |
−0.819602 | + | 0.572934i | \(0.805805\pi\) | |||||||
\(198\) | −1.47935 | − | 1.28186i | −0.105133 | − | 0.0910981i | ||||
\(199\) | 10.5797 | − | 23.1663i | 0.749976 | − | 1.64222i | −0.0164335 | − | 0.999865i | \(-0.505231\pi\) |
0.766409 | − | 0.642353i | \(-0.222042\pi\) | |||||||
\(200\) | 3.97734 | − | 3.02998i | 0.281240 | − | 0.214252i | ||||
\(201\) | 10.3479 | − | 3.03843i | 0.729887 | − | 0.214314i | ||||
\(202\) | −8.26324 | + | 7.16014i | −0.581400 | + | 0.503786i | ||||
\(203\) | −3.03926 | + | 10.3508i | −0.213314 | + | 0.726481i | ||||
\(204\) | 0.161119 | + | 0.352802i | 0.0112806 | + | 0.0247011i | ||||
\(205\) | 3.14926 | − | 9.59663i | 0.219954 | − | 0.670258i | ||||
\(206\) | −15.0516 | −1.04870 | ||||||||
\(207\) | −2.08157 | − | 4.32054i | −0.144679 | − | 0.300298i | ||||
\(208\) | 3.37297i | 0.233874i | ||||||||
\(209\) | 1.97984 | − | 13.7701i | 0.136948 | − | 0.952495i | ||||
\(210\) | −7.19043 | + | 1.86752i | −0.496187 | + | 0.128871i | ||||
\(211\) | 2.69963 | + | 0.792682i | 0.185850 | + | 0.0545705i | 0.373333 | − | 0.927697i | \(-0.378215\pi\) |
−0.187483 | + | 0.982268i | \(0.560033\pi\) | |||||||
\(212\) | −3.76432 | + | 3.26180i | −0.258534 | + | 0.224021i | ||||
\(213\) | 0.270530 | + | 0.921342i | 0.0185364 | + | 0.0631293i | ||||
\(214\) | 5.07563 | + | 3.26191i | 0.346963 | + | 0.222979i | ||||
\(215\) | −3.65764 | − | 2.51680i | −0.249449 | − | 0.171644i | ||||
\(216\) | 0.654861 | − | 0.755750i | 0.0445576 | − | 0.0514222i | ||||
\(217\) | −5.45622 | − | 8.49004i | −0.370392 | − | 0.576342i | ||||
\(218\) | −4.98984 | + | 0.717431i | −0.337955 | + | 0.0485906i | ||||
\(219\) | −1.54174 | − | 10.7230i | −0.104181 | − | 0.724594i | ||||
\(220\) | −4.03675 | + | 1.69202i | −0.272157 | + | 0.114076i | ||||
\(221\) | 0.856696 | − | 0.988680i | 0.0576276 | − | 0.0665058i | ||||
\(222\) | −0.236491 | − | 0.108002i | −0.0158722 | − | 0.00724859i | ||||
\(223\) | −11.3195 | + | 17.6135i | −0.758009 | + | 1.17948i | 0.220922 | + | 0.975292i | \(0.429093\pi\) |
−0.978931 | + | 0.204193i | \(0.934543\pi\) | |||||||
\(224\) | 3.18777 | − | 0.936013i | 0.212992 | − | 0.0625400i | ||||
\(225\) | 1.78670 | + | 4.66987i | 0.119113 | + | 0.311325i | ||||
\(226\) | −5.35583 | − | 1.57261i | −0.356265 | − | 0.104609i | ||||
\(227\) | −17.8220 | + | 8.13904i | −1.18289 | + | 0.540207i | −0.907061 | − | 0.421000i | \(-0.861679\pi\) |
−0.275828 | + | 0.961207i | \(0.588952\pi\) | |||||||
\(228\) | 7.03466 | + | 1.01143i | 0.465882 | + | 0.0669837i | ||||
\(229\) | −21.2122 | −1.40174 | −0.700870 | − | 0.713289i | \(-0.747205\pi\) | ||||
−0.700870 | + | 0.713289i | \(0.747205\pi\) | |||||||
\(230\) | −10.7232 | − | 0.117109i | −0.707065 | − | 0.00772196i | ||||
\(231\) | 6.50336 | 0.427890 | ||||||||
\(232\) | −3.21398 | − | 0.462100i | −0.211008 | − | 0.0303383i | ||||
\(233\) | −15.3610 | + | 7.01512i | −1.00633 | + | 0.459576i | −0.849239 | − | 0.528008i | \(-0.822939\pi\) |
−0.157091 | + | 0.987584i | \(0.550212\pi\) | |||||||
\(234\) | −3.23634 | − | 0.950276i | −0.211566 | − | 0.0621215i | ||||
\(235\) | 10.7691 | − | 6.45104i | 0.702498 | − | 0.420820i | ||||
\(236\) | −5.25120 | + | 1.54189i | −0.341824 | + | 0.100369i | ||||
\(237\) | 8.35185 | − | 12.9957i | 0.542511 | − | 0.844164i | ||||
\(238\) | −1.17213 | − | 0.535294i | −0.0759779 | − | 0.0346979i | ||||
\(239\) | 10.0138 | − | 11.5566i | 0.647741 | − | 0.747533i | −0.332983 | − | 0.942933i | \(-0.608055\pi\) |
0.980724 | + | 0.195400i | \(0.0626005\pi\) | |||||||
\(240\) | −0.864395 | − | 2.06224i | −0.0557964 | − | 0.133117i | ||||
\(241\) | 2.73712 | + | 19.0371i | 0.176313 | + | 1.22629i | 0.865203 | + | 0.501421i | \(0.167189\pi\) |
−0.688890 | + | 0.724866i | \(0.741902\pi\) | |||||||
\(242\) | −7.09539 | + | 1.02016i | −0.456109 | + | 0.0655785i | ||||
\(243\) | 0.540641 | + | 0.841254i | 0.0346821 | + | 0.0539664i | ||||
\(244\) | −5.34825 | + | 6.17221i | −0.342387 | + | 0.395135i | ||||
\(245\) | 5.11830 | − | 7.43839i | 0.326996 | − | 0.475221i | ||||
\(246\) | −3.79988 | − | 2.44204i | −0.242272 | − | 0.155698i | ||||
\(247\) | −6.75361 | − | 23.0007i | −0.429722 | − | 1.46350i | ||||
\(248\) | 2.29570 | − | 1.98924i | 0.145777 | − | 0.126317i | ||||
\(249\) | −11.7200 | − | 3.44130i | −0.742725 | − | 0.218084i | ||||
\(250\) | 11.1305 | + | 1.05465i | 0.703954 | + | 0.0667021i | ||||
\(251\) | −2.44981 | + | 17.0388i | −0.154631 | + | 1.07548i | 0.753697 | + | 0.657222i | \(0.228269\pi\) |
−0.908328 | + | 0.418259i | \(0.862640\pi\) | |||||||
\(252\) | 3.32235i | 0.209288i | ||||||||
\(253\) | 9.05988 | + | 2.45898i | 0.569589 | + | 0.154595i | ||||
\(254\) | −0.906195 | −0.0568597 | ||||||||
\(255\) | −0.270415 | + | 0.824026i | −0.0169340 | + | 0.0516025i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 1.40879 | − | 4.79792i | 0.0878782 | − | 0.299286i | −0.903813 | − | 0.427928i | \(-0.859244\pi\) |
0.991691 | + | 0.128642i | \(0.0410619\pi\) | |||||||
\(258\) | −1.50060 | + | 1.30028i | −0.0934233 | + | 0.0809518i | ||||
\(259\) | 0.828772 | − | 0.243349i | 0.0514974 | − | 0.0151210i | ||||
\(260\) | −5.11611 | + | 5.54168i | −0.317287 | + | 0.343680i | ||||
\(261\) | 1.34886 | − | 2.95360i | 0.0834925 | − | 0.182823i | ||||
\(262\) | −13.4531 | − | 11.6572i | −0.831135 | − | 0.720183i | ||||
\(263\) | 8.53667 | + | 13.2833i | 0.526394 | + | 0.819084i | 0.998032 | − | 0.0627076i | \(-0.0199736\pi\) |
−0.471638 | + | 0.881792i | \(0.656337\pi\) | |||||||
\(264\) | 0.278576 | + | 1.93754i | 0.0171451 | + | 0.119247i | ||||
\(265\) | −11.1321 | − | 0.350672i | −0.683841 | − | 0.0215416i | ||||
\(266\) | −19.8636 | + | 12.7656i | −1.21792 | + | 0.782707i | ||||
\(267\) | 2.19016 | + | 1.89778i | 0.134035 | + | 0.116142i | ||||
\(268\) | −9.81019 | − | 4.48016i | −0.599253 | − | 0.273670i | ||||
\(269\) | 26.5367 | + | 17.0541i | 1.61797 | + | 1.03981i | 0.957287 | + | 0.289138i | \(0.0933687\pi\) |
0.660681 | + | 0.750667i | \(0.270268\pi\) | |||||||
\(270\) | 2.22223 | − | 0.248381i | 0.135241 | − | 0.0151160i | ||||
\(271\) | −0.172054 | − | 0.198561i | −0.0104515 | − | 0.0120617i | 0.750500 | − | 0.660871i | \(-0.229813\pi\) |
−0.760951 | + | 0.648809i | \(0.775267\pi\) | |||||||
\(272\) | 0.109270 | − | 0.372140i | 0.00662548 | − | 0.0225643i | ||||
\(273\) | 10.1935 | − | 4.65522i | 0.616939 | − | 0.281747i | ||||
\(274\) | −1.41845 | + | 9.86552i | −0.0856916 | + | 0.595998i | ||||
\(275\) | −9.19868 | − | 3.34299i | −0.554701 | − | 0.201590i | ||||
\(276\) | −1.25621 | + | 4.62838i | −0.0756149 | + | 0.278596i | ||||
\(277\) | 5.96286i | 0.358273i | 0.983824 | + | 0.179137i | \(0.0573304\pi\) | ||||
−0.983824 | + | 0.179137i | \(0.942670\pi\) | |||||||
\(278\) | 19.1632 | + | 2.75525i | 1.14933 | + | 0.165249i | ||||
\(279\) | 1.26189 | + | 2.76315i | 0.0755472 | + | 0.165425i | ||||
\(280\) | 6.65713 | + | 3.29735i | 0.397840 | + | 0.197054i | ||||
\(281\) | 15.8547 | + | 18.2973i | 0.945812 | + | 1.09153i | 0.995688 | + | 0.0927702i | \(0.0295722\pi\) |
−0.0498752 | + | 0.998755i | \(0.515882\pi\) | |||||||
\(282\) | −1.58167 | − | 5.38667i | −0.0941870 | − | 0.320771i | ||||
\(283\) | 1.14144 | − | 1.77611i | 0.0678515 | − | 0.105579i | −0.805670 | − | 0.592365i | \(-0.798194\pi\) |
0.873521 | + | 0.486786i | \(0.161831\pi\) | |||||||
\(284\) | 0.398897 | − | 0.873463i | 0.0236702 | − | 0.0518305i | ||||
\(285\) | 10.0236 | + | 12.3319i | 0.593745 | + | 0.730477i | ||||
\(286\) | 5.55434 | − | 3.56956i | 0.328435 | − | 0.211072i | ||||
\(287\) | 14.8540 | − | 2.13569i | 0.876807 | − | 0.126066i | ||||
\(288\) | −0.989821 | + | 0.142315i | −0.0583258 | + | 0.00838598i | ||||
\(289\) | 14.1748 | − | 9.10957i | 0.833810 | − | 0.535857i | ||||
\(290\) | −4.57954 | − | 5.63415i | −0.268920 | − | 0.330849i | ||||
\(291\) | −0.224998 | + | 0.492676i | −0.0131896 | + | 0.0288812i | ||||
\(292\) | −5.85691 | + | 9.11353i | −0.342750 | + | 0.533329i | ||||
\(293\) | 0.841371 | + | 2.86545i | 0.0491534 | + | 0.167401i | 0.980412 | − | 0.196958i | \(-0.0631062\pi\) |
−0.931259 | + | 0.364359i | \(0.881288\pi\) | |||||||
\(294\) | −2.64432 | − | 3.05171i | −0.154220 | − | 0.177979i | ||||
\(295\) | −10.9663 | − | 5.43172i | −0.638481 | − | 0.316247i | ||||
\(296\) | 0.108002 | + | 0.236491i | 0.00627747 | + | 0.0137457i | ||||
\(297\) | −1.93754 | − | 0.278576i | −0.112427 | − | 0.0161646i | ||||
\(298\) | 3.96477i | 0.229673i | ||||||||
\(299\) | 15.9608 | − | 2.63096i | 0.923038 | − | 0.152152i | ||||
\(300\) | 1.70782 | − | 4.69929i | 0.0986010 | − | 0.271314i | ||||
\(301\) | 0.938820 | − | 6.52964i | 0.0541127 | − | 0.376362i | ||||
\(302\) | −5.66079 | + | 2.58519i | −0.325742 | + | 0.148761i | ||||
\(303\) | −3.08042 | + | 10.4909i | −0.176965 | + | 0.602689i | ||||
\(304\) | −4.65409 | − | 5.37111i | −0.266931 | − | 0.308054i | ||||
\(305\) | −18.1490 | + | 2.02853i | −1.03921 | + | 0.116153i | ||||
\(306\) | 0.326281 | + | 0.209688i | 0.0186523 | + | 0.0119871i | ||||
\(307\) | −10.8719 | − | 4.96502i | −0.620491 | − | 0.283369i | 0.0802608 | − | 0.996774i | \(-0.474425\pi\) |
−0.700752 | + | 0.713405i | \(0.747152\pi\) | |||||||
\(308\) | −4.91491 | − | 4.25879i | −0.280053 | − | 0.242667i | ||||
\(309\) | −12.6622 | + | 8.13752i | −0.720329 | + | 0.462927i | ||||
\(310\) | 6.78903 | + | 0.213861i | 0.385591 | + | 0.0121465i | ||||
\(311\) | −1.51960 | − | 10.5690i | −0.0861685 | − | 0.599315i | −0.986457 | − | 0.164021i | \(-0.947554\pi\) |
0.900288 | − | 0.435294i | \(-0.143356\pi\) | |||||||
\(312\) | 1.82357 | + | 2.83753i | 0.103239 | + | 0.160643i | ||||
\(313\) | −4.69158 | − | 4.06528i | −0.265184 | − | 0.229783i | 0.512111 | − | 0.858919i | \(-0.328863\pi\) |
−0.777295 | + | 0.629136i | \(0.783409\pi\) | |||||||
\(314\) | −3.76529 | + | 8.24483i | −0.212488 | + | 0.465283i | ||||
\(315\) | −5.03932 | + | 5.45850i | −0.283933 | + | 0.307552i | ||||
\(316\) | −14.8223 | + | 4.35222i | −0.833820 | + | 0.244832i | ||||
\(317\) | −22.4379 | + | 19.4425i | −1.26024 | + | 1.09200i | −0.268559 | + | 0.963263i | \(0.586547\pi\) |
−0.991679 | + | 0.128738i | \(0.958907\pi\) | |||||||
\(318\) | −1.40328 | + | 4.77915i | −0.0786923 | + | 0.268001i | ||||
\(319\) | 2.64035 | + | 5.78155i | 0.147831 | + | 0.323705i | ||||
\(320\) | −0.697212 | + | 2.12459i | −0.0389753 | + | 0.118768i | ||||
\(321\) | 6.03341 | 0.336752 | ||||||||
\(322\) | −6.91569 | − | 14.3543i | −0.385396 | − | 0.799936i | ||||
\(323\) | 2.75646i | 0.153373i | ||||||||
\(324\) | 0.142315 | − | 0.989821i | 0.00790638 | − | 0.0549901i | ||||
\(325\) | −16.8112 | + | 1.34470i | −0.932516 | + | 0.0745907i | ||||
\(326\) | −19.4109 | − | 5.69955i | −1.07507 | − | 0.315669i | ||||
\(327\) | −3.80985 | + | 3.30125i | −0.210685 | + | 0.182560i | ||||
\(328\) | 1.27257 | + | 4.33396i | 0.0702657 | + | 0.239303i | ||||
\(329\) | 15.6910 | + | 10.0840i | 0.865072 | + | 0.555948i | ||||
\(330\) | −2.48115 | + | 3.60585i | −0.136583 | + | 0.198495i | ||||
\(331\) | 14.7520 | − | 17.0247i | 0.810841 | − | 0.935761i | −0.188082 | − | 0.982153i | \(-0.560227\pi\) |
0.998923 | + | 0.0463927i | \(0.0147726\pi\) | |||||||
\(332\) | 6.60381 | + | 10.2757i | 0.362431 | + | 0.563954i | ||||
\(333\) | −0.257339 | + | 0.0369997i | −0.0141021 | + | 0.00202757i | ||||
\(334\) | −2.50379 | − | 17.4142i | −0.137001 | − | 0.952864i | ||||
\(335\) | −9.32231 | − | 22.2408i | −0.509332 | − | 1.21514i | ||||
\(336\) | 2.17567 | − | 2.51086i | 0.118693 | − | 0.136979i | ||||
\(337\) | −19.5452 | − | 8.92600i | −1.06470 | − | 0.486230i | −0.195503 | − | 0.980703i | \(-0.562634\pi\) |
−0.869193 | + | 0.494473i | \(0.835361\pi\) | |||||||
\(338\) | −0.877490 | + | 1.36540i | −0.0477292 | + | 0.0742680i | ||||
\(339\) | −5.35583 | + | 1.57261i | −0.290889 | + | 0.0854127i | ||||
\(340\) | 0.743988 | − | 0.445673i | 0.0403484 | − | 0.0241700i | ||||
\(341\) | −5.70522 | − | 1.67520i | −0.308955 | − | 0.0907174i | ||||
\(342\) | 6.46475 | − | 2.95235i | 0.349574 | − | 0.159645i | ||||
\(343\) | −9.74067 | − | 1.40050i | −0.525947 | − | 0.0756197i | ||||
\(344\) | 1.98558 | 0.107055 | ||||||||
\(345\) | −9.08422 | + | 5.69886i | −0.489078 | + | 0.306816i | ||||
\(346\) | 4.38415 | 0.235693 | ||||||||
\(347\) | 29.4476 | + | 4.23393i | 1.58083 | + | 0.227289i | 0.876080 | − | 0.482165i | \(-0.160150\pi\) |
0.704751 | + | 0.709454i | \(0.251059\pi\) | |||||||
\(348\) | −2.95360 | + | 1.34886i | −0.158329 | + | 0.0723067i | ||||
\(349\) | 14.0722 | + | 4.13196i | 0.753265 | + | 0.221179i | 0.635753 | − | 0.771893i | \(-0.280690\pi\) |
0.117512 | + | 0.993071i | \(0.462508\pi\) | |||||||
\(350\) | 5.93603 | + | 15.5149i | 0.317294 | + | 0.829308i | ||||
\(351\) | −3.23634 | + | 0.950276i | −0.172743 | + | 0.0507220i | ||||
\(352\) | 1.05828 | − | 1.64672i | 0.0564067 | − | 0.0877705i | ||||
\(353\) | −28.0851 | − | 12.8260i | −1.49482 | − | 0.682661i | −0.510633 | − | 0.859799i | \(-0.670589\pi\) |
−0.984186 | + | 0.177138i | \(0.943316\pi\) | |||||||
\(354\) | −3.58398 | + | 4.13613i | −0.190486 | + | 0.219833i | ||||
\(355\) | 1.98024 | − | 0.830025i | 0.105100 | − | 0.0440531i | ||||
\(356\) | −0.412427 | − | 2.86849i | −0.0218586 | − | 0.152030i | ||||
\(357\) | −1.27546 | + | 0.183383i | −0.0675045 | + | 0.00970568i | ||||
\(358\) | −10.9668 | − | 17.0647i | −0.579614 | − | 0.901897i | ||||
\(359\) | −7.70519 | + | 8.89226i | −0.406664 | + | 0.469315i | −0.921728 | − | 0.387836i | \(-0.873223\pi\) |
0.515064 | + | 0.857152i | \(0.327768\pi\) | |||||||
\(360\) | −1.84210 | − | 1.26754i | −0.0970874 | − | 0.0668051i | ||||
\(361\) | 26.5074 | + | 17.0353i | 1.39513 | + | 0.896594i | ||||
\(362\) | −3.87687 | − | 13.2034i | −0.203764 | − | 0.693955i | ||||
\(363\) | −5.41748 | + | 4.69427i | −0.284344 | + | 0.246385i | ||||
\(364\) | −10.7523 | − | 3.15715i | −0.563571 | − | 0.165479i | ||||
\(365\) | −23.4461 | + | 6.08949i | −1.22722 | + | 0.318738i | ||||
\(366\) | −1.16229 | + | 8.08388i | −0.0607537 | + | 0.422551i | ||||
\(367\) | 21.0177i | 1.09711i | 0.836113 | + | 0.548557i | \(0.184822\pi\) | ||||
−0.836113 | + | 0.548557i | \(0.815178\pi\) | |||||||
\(368\) | 3.98033 | − | 2.67526i | 0.207489 | − | 0.139457i | ||||
\(369\) | −4.51693 | −0.235142 | ||||||||
\(370\) | −0.181265 | + | 0.552362i | −0.00942350 | + | 0.0287159i | ||||
\(371\) | −6.87441 | − | 15.0529i | −0.356902 | − | 0.781506i | ||||
\(372\) | 0.855805 | − | 2.91461i | 0.0443714 | − | 0.151115i | ||||
\(373\) | 25.7920 | − | 22.3489i | 1.33546 | − | 1.15718i | 0.361012 | − | 0.932561i | \(-0.382431\pi\) |
0.974447 | − | 0.224620i | \(-0.0721140\pi\) | |||||||
\(374\) | −0.728450 | + | 0.213892i | −0.0376672 | + | 0.0110601i | ||||
\(375\) | 9.93375 | − | 5.13036i | 0.512977 | − | 0.264931i | ||||
\(376\) | −2.33217 | + | 5.10674i | −0.120273 | + | 0.263360i | ||||
\(377\) | 8.27707 | + | 7.17212i | 0.426291 | + | 0.369383i | ||||
\(378\) | 1.79620 | + | 2.79494i | 0.0923864 | + | 0.143756i | ||||
\(379\) | 1.79772 | + | 12.5034i | 0.0923428 | + | 0.642259i | 0.982453 | + | 0.186512i | \(0.0597184\pi\) |
−0.890110 | + | 0.455746i | \(0.849372\pi\) | |||||||
\(380\) | 0.500356 | − | 15.8839i | 0.0256677 | − | 0.814824i | ||||
\(381\) | −0.762340 | + | 0.489926i | −0.0390558 | + | 0.0250997i | ||||
\(382\) | 16.5632 | + | 14.3521i | 0.847445 | + | 0.734315i | ||||
\(383\) | −5.43663 | − | 2.48283i | −0.277799 | − | 0.126867i | 0.271644 | − | 0.962398i | \(-0.412433\pi\) |
−0.549443 | + | 0.835531i | \(0.685160\pi\) | |||||||
\(384\) | 0.841254 | + | 0.540641i | 0.0429300 | + | 0.0275895i | ||||
\(385\) | −1.61531 | − | 14.4520i | −0.0823239 | − | 0.736540i | ||||
\(386\) | −14.1394 | − | 16.3177i | −0.719676 | − | 0.830550i | ||||
\(387\) | −0.559402 | + | 1.90515i | −0.0284360 | + | 0.0968442i | ||||
\(388\) | 0.492676 | − | 0.224998i | 0.0250119 | − | 0.0114225i | ||||
\(389\) | 0.940472 | − | 6.54113i | 0.0476838 | − | 0.331648i | −0.951990 | − | 0.306128i | \(-0.900967\pi\) |
0.999674 | − | 0.0255207i | \(-0.00812437\pi\) | |||||||
\(390\) | −1.30789 | + | 7.42793i | −0.0662274 | + | 0.376128i | ||||
\(391\) | −1.84619 | − | 0.226790i | −0.0933659 | − | 0.0114693i | ||||
\(392\) | 4.03799i | 0.203949i | ||||||||
\(393\) | −17.6198 | − | 2.53335i | −0.888802 | − | 0.127790i | ||||
\(394\) | −0.453302 | − | 0.992593i | −0.0228370 | − | 0.0500061i | ||||
\(395\) | −30.9540 | − | 15.3318i | −1.55746 | − | 0.771429i | ||||
\(396\) | 1.28186 | + | 1.47935i | 0.0644161 | + | 0.0743401i | ||||
\(397\) | 6.74754 | + | 22.9800i | 0.338649 | + | 1.15333i | 0.936190 | + | 0.351495i | \(0.114326\pi\) |
−0.597541 | + | 0.801839i | \(0.703855\pi\) | |||||||
\(398\) | −13.7689 | + | 21.4249i | −0.690174 | + | 1.07393i | ||||
\(399\) | −9.80874 | + | 21.4781i | −0.491051 | + | 1.07525i | ||||
\(400\) | −4.36807 | + | 2.43310i | −0.218403 | + | 0.121655i | ||||
\(401\) | −5.48862 | + | 3.52732i | −0.274088 | + | 0.176146i | −0.670463 | − | 0.741943i | \(-0.733905\pi\) |
0.396375 | + | 0.918089i | \(0.370268\pi\) | |||||||
\(402\) | −10.6750 | + | 1.53484i | −0.532421 | + | 0.0765506i | ||||
\(403\) | −10.1416 | + | 1.45815i | −0.505190 | + | 0.0726354i | ||||
\(404\) | 9.19813 | − | 5.91128i | 0.457624 | − | 0.294097i | ||||
\(405\) | 1.73517 | − | 1.41038i | 0.0862215 | − | 0.0700823i | ||||
\(406\) | 4.48139 | − | 9.81288i | 0.222408 | − | 0.487005i | ||||
\(407\) | 0.275138 | − | 0.428122i | 0.0136381 | − | 0.0212212i | ||||
\(408\) | −0.109270 | − | 0.372140i | −0.00540969 | − | 0.0184237i | ||||
\(409\) | −11.2310 | − | 12.9613i | −0.555339 | − | 0.640895i | 0.406780 | − | 0.913526i | \(-0.366652\pi\) |
−0.962119 | + | 0.272631i | \(0.912106\pi\) | |||||||
\(410\) | −4.48294 | + | 9.05077i | −0.221397 | + | 0.446985i | ||||
\(411\) | 4.14043 | + | 9.06628i | 0.204232 | + | 0.447207i | ||||
\(412\) | 14.8984 | + | 2.14207i | 0.733992 | + | 0.105532i | ||||
\(413\) | − | 18.1828i | − | 0.894719i | ||||||
\(414\) | 1.44550 | + | 4.57280i | 0.0710426 | + | 0.224741i | ||||
\(415\) | −4.73634 | + | 26.8993i | −0.232498 | + | 1.32043i | ||||
\(416\) | 0.480024 | − | 3.33864i | 0.0235351 | − | 0.163690i | ||||
\(417\) | 17.6107 | − | 8.04255i | 0.862401 | − | 0.393845i | ||||
\(418\) | −3.91937 | + | 13.3481i | −0.191703 | + | 0.652879i | ||||
\(419\) | 16.1789 | + | 18.6714i | 0.790389 | + | 0.912157i | 0.997813 | − | 0.0660937i | \(-0.0210536\pi\) |
−0.207425 | + | 0.978251i | \(0.566508\pi\) | |||||||
\(420\) | 7.38302 | − | 0.825209i | 0.360254 | − | 0.0402661i | ||||
\(421\) | 25.6974 | + | 16.5147i | 1.25241 | + | 0.804877i | 0.987227 | − | 0.159321i | \(-0.0509303\pi\) |
0.265186 | + | 0.964197i | \(0.414567\pi\) | |||||||
\(422\) | −2.55934 | − | 1.16881i | −0.124587 | − | 0.0568968i | ||||
\(423\) | −4.24284 | − | 3.67644i | −0.206294 | − | 0.178755i | ||||
\(424\) | 4.19021 | − | 2.69288i | 0.203494 | − | 0.130778i | ||||
\(425\) | 1.89834 | + | 0.396251i | 0.0920831 | + | 0.0192210i | ||||
\(426\) | −0.136656 | − | 0.950464i | −0.00662101 | − | 0.0460501i | ||||
\(427\) | −14.6695 | − | 22.8263i | −0.709909 | − | 1.10464i | ||||
\(428\) | −4.55975 | − | 3.95104i | −0.220404 | − | 0.190981i | ||||
\(429\) | 2.74276 | − | 6.00581i | 0.132422 | − | 0.289963i | ||||
\(430\) | 3.26224 | + | 3.01172i | 0.157319 | + | 0.145238i | ||||
\(431\) | −22.1571 | + | 6.50590i | −1.06727 | + | 0.313378i | −0.767774 | − | 0.640720i | \(-0.778636\pi\) |
−0.299493 | + | 0.954098i | \(0.596818\pi\) | |||||||
\(432\) | −0.755750 | + | 0.654861i | −0.0363610 | + | 0.0315070i | ||||
\(433\) | −9.49291 | + | 32.3299i | −0.456200 | + | 1.55368i | 0.335061 | + | 0.942197i | \(0.391243\pi\) |
−0.791261 | + | 0.611479i | \(0.790575\pi\) | |||||||
\(434\) | 4.19242 | + | 9.18013i | 0.201243 | + | 0.440660i | ||||
\(435\) | −6.89861 | − | 2.26387i | −0.330763 | − | 0.108544i | ||||
\(436\) | 5.04116 | 0.241428 | ||||||||
\(437\) | −21.7857 | + | 26.2126i | −1.04215 | + | 1.25392i | ||||
\(438\) | 10.8333i | 0.517634i | ||||||||
\(439\) | −2.89808 | + | 20.1566i | −0.138318 | + | 0.962021i | 0.795928 | + | 0.605391i | \(0.206983\pi\) |
−0.934246 | + | 0.356630i | \(0.883926\pi\) | |||||||
\(440\) | 4.23646 | − | 1.10031i | 0.201965 | − | 0.0524551i | ||||
\(441\) | −3.87442 | − | 1.13763i | −0.184496 | − | 0.0541730i | ||||
\(442\) | −0.988680 | + | 0.856696i | −0.0470267 | + | 0.0407489i | ||||
\(443\) | −9.21952 | − | 31.3988i | −0.438033 | − | 1.49180i | −0.822554 | − | 0.568687i | \(-0.807452\pi\) |
0.384521 | − | 0.923116i | \(-0.374367\pi\) | |||||||
\(444\) | 0.218713 | + | 0.140558i | 0.0103797 | + | 0.00667061i | ||||
\(445\) | 3.67331 | − | 5.33840i | 0.174132 | − | 0.253065i | ||||
\(446\) | 13.7109 | − | 15.8233i | 0.649231 | − | 0.749253i | ||||
\(447\) | 2.14352 | + | 3.33538i | 0.101385 | + | 0.157758i | ||||
\(448\) | −3.28853 | + | 0.472819i | −0.155368 | + | 0.0223386i | ||||
\(449\) | 0.311867 | + | 2.16908i | 0.0147179 | + | 0.102365i | 0.995856 | − | 0.0909418i | \(-0.0289877\pi\) |
−0.981138 | + | 0.193307i | \(0.938079\pi\) | |||||||
\(450\) | −1.10392 | − | 4.87661i | −0.0520393 | − | 0.229886i | ||||
\(451\) | 5.79008 | − | 6.68211i | 0.272644 | − | 0.314648i | ||||
\(452\) | 5.07751 | + | 2.31882i | 0.238826 | + | 0.109068i | ||||
\(453\) | −3.36450 | + | 5.23526i | −0.158078 | + | 0.245974i | ||||
\(454\) | 18.7989 | − | 5.51986i | 0.882277 | − | 0.259060i | ||||
\(455\) | −12.8768 | − | 21.4960i | −0.603675 | − | 1.00775i | ||||
\(456\) | −6.81911 | − | 2.00227i | −0.319334 | − | 0.0937650i | ||||
\(457\) | 1.90013 | − | 0.867760i | 0.0888844 | − | 0.0405921i | −0.370477 | − | 0.928842i | \(-0.620806\pi\) |
0.459361 | + | 0.888250i | \(0.348078\pi\) | |||||||
\(458\) | 20.9963 | + | 3.01881i | 0.981092 | + | 0.141060i | ||||
\(459\) | 0.387851 | 0.0181033 | ||||||||
\(460\) | 10.5974 | + | 1.64198i | 0.494104 | + | 0.0765578i | ||||
\(461\) | 26.5960 | 1.23870 | 0.619349 | − | 0.785115i | \(-0.287396\pi\) | ||||
0.619349 | + | 0.785115i | \(0.287396\pi\) | |||||||
\(462\) | −6.43716 | − | 0.925525i | −0.299484 | − | 0.0430593i | ||||
\(463\) | 6.87141 | − | 3.13807i | 0.319342 | − | 0.145838i | −0.249294 | − | 0.968428i | \(-0.580199\pi\) |
0.568636 | + | 0.822589i | \(0.307471\pi\) | |||||||
\(464\) | 3.11550 | + | 0.914793i | 0.144633 | + | 0.0424682i | ||||
\(465\) | 5.82692 | − | 3.49052i | 0.270217 | − | 0.161869i | ||||
\(466\) | 16.2030 | − | 4.75762i | 0.750588 | − | 0.220393i | ||||
\(467\) | 13.1017 | − | 20.3866i | 0.606274 | − | 0.943380i | −0.393438 | − | 0.919351i | \(-0.628714\pi\) |
0.999711 | − | 0.0240288i | \(-0.00764933\pi\) | |||||||
\(468\) | 3.06816 | + | 1.40118i | 0.141826 | + | 0.0647697i | ||||
\(469\) | 23.4642 | − | 27.0791i | 1.08348 | − | 1.25040i | ||||
\(470\) | −11.5776 | + | 4.85278i | −0.534033 | + | 0.223842i | ||||
\(471\) | 1.28993 | + | 8.97167i | 0.0594369 | + | 0.413393i | ||||
\(472\) | 5.41718 | − | 0.778873i | 0.249346 | − | 0.0358506i | ||||
\(473\) | −2.10130 | − | 3.26969i | −0.0966181 | − | 0.150341i | ||||
\(474\) | −10.1163 | + | 11.6749i | −0.464658 | + | 0.536244i | ||||
\(475\) | 24.9146 | − | 25.3377i | 1.14316 | − | 1.16257i | ||||
\(476\) | 1.08402 | + | 0.696657i | 0.0496859 | + | 0.0319312i | ||||
\(477\) | 1.40328 | + | 4.77915i | 0.0642520 | + | 0.218822i | ||||
\(478\) | −11.5566 | + | 10.0138i | −0.528586 | + | 0.458022i | ||||
\(479\) | −18.6323 | − | 5.47094i | −0.851331 | − | 0.249973i | −0.173175 | − | 0.984891i | \(-0.555403\pi\) |
−0.678156 | + | 0.734918i | \(0.737221\pi\) | |||||||
\(480\) | 0.562109 | + | 2.16426i | 0.0256567 | + | 0.0987846i | ||||
\(481\) | 0.124799 | − | 0.867996i | 0.00569034 | − | 0.0395772i | ||||
\(482\) | − | 19.2329i | − | 0.876033i | ||||||
\(483\) | −13.5784 | − | 8.33673i | −0.617838 | − | 0.379334i | ||||
\(484\) | 7.16835 | 0.325834 | ||||||||
\(485\) | 1.15073 | + | 0.377625i | 0.0522518 | + | 0.0171471i | ||||
\(486\) | −0.415415 | − | 0.909632i | −0.0188436 | − | 0.0412617i | ||||
\(487\) | −6.28026 | + | 21.3886i | −0.284586 | + | 0.969210i | 0.685828 | + | 0.727763i | \(0.259440\pi\) |
−0.970414 | + | 0.241447i | \(0.922378\pi\) | |||||||
\(488\) | 6.17221 | − | 5.34825i | 0.279403 | − | 0.242104i | ||||
\(489\) | −19.4109 | + | 5.69955i | −0.877790 | + | 0.257742i | ||||
\(490\) | −6.12479 | + | 6.63427i | −0.276690 | + | 0.299706i | ||||
\(491\) | −6.36938 | + | 13.9470i | −0.287446 | + | 0.629419i | −0.997180 | − | 0.0750508i | \(-0.976088\pi\) |
0.709733 | + | 0.704470i | \(0.248815\pi\) | |||||||
\(492\) | 3.41367 | + | 2.95796i | 0.153900 | + | 0.133355i | ||||
\(493\) | −0.680863 | − | 1.05944i | −0.0306645 | − | 0.0477149i | ||||
\(494\) | 3.41153 | + | 23.7277i | 0.153492 | + | 1.06756i | ||||
\(495\) | −0.137812 | + | 4.37484i | −0.00619417 | + | 0.196635i | ||||
\(496\) | −2.55544 | + | 1.64228i | −0.114742 | + | 0.0737405i | ||||
\(497\) | 2.41102 | + | 2.08916i | 0.108149 | + | 0.0937119i | ||||
\(498\) | 11.1110 | + | 5.07421i | 0.497894 | + | 0.227381i | ||||
\(499\) | 16.1589 | + | 10.3847i | 0.723371 | + | 0.464882i | 0.849808 | − | 0.527092i | \(-0.176718\pi\) |
−0.126437 | + | 0.991975i | \(0.540354\pi\) | |||||||
\(500\) | −10.8671 | − | 2.62795i | −0.485992 | − | 0.117526i | ||||
\(501\) | −11.5212 | − | 13.2961i | −0.514728 | − | 0.594027i | ||||
\(502\) | 4.84976 | − | 16.5168i | 0.216455 | − | 0.737179i | ||||
\(503\) | −3.37573 | + | 1.54165i | −0.150517 | + | 0.0687386i | −0.489249 | − | 0.872144i | \(-0.662729\pi\) |
0.338733 | + | 0.940883i | \(0.390002\pi\) | |||||||
\(504\) | 0.472819 | − | 3.28853i | 0.0210610 | − | 0.146483i | ||||
\(505\) | 24.0784 | + | 4.23964i | 1.07147 | + | 0.188662i | ||||
\(506\) | −8.61771 | − | 3.72331i | −0.383104 | − | 0.165521i | ||||
\(507\) | 1.62306i | 0.0720824i | ||||||||
\(508\) | 0.896971 | + | 0.128965i | 0.0397967 | + | 0.00572189i | ||||
\(509\) | 6.43851 | + | 14.0984i | 0.285382 | + | 0.624899i | 0.996978 | − | 0.0776900i | \(-0.0247544\pi\) |
−0.711596 | + | 0.702589i | \(0.752027\pi\) | |||||||
\(510\) | 0.384933 | − | 0.777154i | 0.0170451 | − | 0.0344130i | ||||
\(511\) | −23.5697 | − | 27.2009i | −1.04266 | − | 1.20330i | ||||
\(512\) | −0.281733 | − | 0.959493i | −0.0124509 | − | 0.0424040i | ||||
\(513\) | 3.84233 | − | 5.97879i | 0.169643 | − | 0.263970i | ||||
\(514\) | −2.07727 | + | 4.54859i | −0.0916245 | + | 0.200630i | ||||
\(515\) | 21.2285 | + | 26.1172i | 0.935439 | + | 1.15086i | ||||
\(516\) | 1.67038 | − | 1.07349i | 0.0735342 | − | 0.0472575i | ||||
\(517\) | 10.8775 | − | 1.56394i | 0.478391 | − | 0.0687822i | ||||
\(518\) | −0.854968 | + | 0.122926i | −0.0375651 | + | 0.00540105i | ||||
\(519\) | 3.68818 | − | 2.37025i | 0.161893 | − | 0.104042i | ||||
\(520\) | 5.85269 | − | 4.75717i | 0.256658 | − | 0.208616i | ||||
\(521\) | −0.488272 | + | 1.06917i | −0.0213916 | + | 0.0468410i | −0.920026 | − | 0.391857i | \(-0.871833\pi\) |
0.898635 | + | 0.438698i | \(0.144560\pi\) | |||||||
\(522\) | −1.75547 | + | 2.73157i | −0.0768350 | + | 0.119558i | ||||
\(523\) | −2.86125 | − | 9.74451i | −0.125114 | − | 0.426097i | 0.872984 | − | 0.487748i | \(-0.162182\pi\) |
−0.998098 | + | 0.0616509i | \(0.980363\pi\) | |||||||
\(524\) | 11.6572 | + | 13.4531i | 0.509246 | + | 0.587701i | ||||
\(525\) | 13.3817 | + | 9.84273i | 0.584026 | + | 0.429572i | ||||
\(526\) | −6.55937 | − | 14.3630i | −0.286002 | − | 0.626257i | ||||
\(527\) | 1.16616 | + | 0.167669i | 0.0507989 | + | 0.00730378i | ||||
\(528\) | − | 1.95746i | − | 0.0851875i | ||||||
\(529\) | −15.7639 | − | 16.7481i | −0.685389 | − | 0.728177i | ||||
\(530\) | 10.9689 | + | 1.93137i | 0.476459 | + | 0.0838933i | ||||
\(531\) | −0.778873 | + | 5.41718i | −0.0338002 | + | 0.235086i | ||||
\(532\) | 21.4781 | − | 9.80874i | 0.931196 | − | 0.425263i | ||||
\(533\) | 4.29233 | − | 14.6183i | 0.185921 | − | 0.633190i | ||||
\(534\) | −1.89778 | − | 2.19016i | −0.0821250 | − | 0.0947773i | ||||
\(535\) | −1.49859 | − | 13.4076i | −0.0647895 | − | 0.579662i | ||||
\(536\) | 9.07274 | + | 5.83070i | 0.391883 | + | 0.251848i | ||||
\(537\) | −18.4517 | − | 8.42663i | −0.796251 | − | 0.363636i | ||||
\(538\) | −23.8395 | − | 20.6570i | −1.02779 | − | 0.890588i | ||||
\(539\) | 6.64943 | − | 4.27333i | 0.286411 | − | 0.184065i | ||||
\(540\) | −2.23496 | − | 0.0704032i | −0.0961773 | − | 0.00302967i | ||||
\(541\) | −3.08930 | − | 21.4865i | −0.132819 | − | 0.923778i | −0.941855 | − | 0.336019i | \(-0.890919\pi\) |
0.809036 | − | 0.587759i | \(-0.199990\pi\) | |||||||
\(542\) | 0.142045 | + | 0.221026i | 0.00610134 | + | 0.00949388i | ||||
\(543\) | −10.3997 | − | 9.01141i | −0.446295 | − | 0.386717i | ||||
\(544\) | −0.161119 | + | 0.352802i | −0.00690793 | + | 0.0151263i | ||||
\(545\) | 8.28244 | + | 7.64640i | 0.354781 | + | 0.327536i | ||||
\(546\) | −10.7523 | + | 3.15715i | −0.460154 | + | 0.135113i | ||||
\(547\) | −29.9197 | + | 25.9255i | −1.27927 | + | 1.10850i | −0.290849 | + | 0.956769i | \(0.593938\pi\) |
−0.988422 | + | 0.151727i | \(0.951517\pi\) | |||||||
\(548\) | 2.80802 | − | 9.56324i | 0.119953 | − | 0.408521i | ||||
\(549\) | 3.39270 | + | 7.42897i | 0.144797 | + | 0.317061i | ||||
\(550\) | 8.62929 | + | 4.61807i | 0.367954 | + | 0.196915i | ||||
\(551\) | −23.0766 | −0.983096 | ||||||||
\(552\) | 1.90211 | − | 4.40250i | 0.0809592 | − | 0.187383i | ||||
\(553\) | − | 51.3238i | − | 2.18251i | ||||||
\(554\) | 0.848603 | − | 5.90216i | 0.0360537 | − | 0.250759i | ||||
\(555\) | 0.146140 | + | 0.562676i | 0.00620330 | + | 0.0238843i | ||||
\(556\) | −18.5760 | − | 5.45442i | −0.787800 | − | 0.231319i | ||||
\(557\) | 4.30625 | − | 3.73138i | 0.182461 | − | 0.158104i | −0.558841 | − | 0.829275i | \(-0.688754\pi\) |
0.741303 | + | 0.671171i | \(0.234208\pi\) | |||||||
\(558\) | −0.855805 | − | 2.91461i | −0.0362291 | − | 0.123385i | ||||
\(559\) | −5.63413 | − | 3.62084i | −0.238298 | − | 0.153145i | ||||
\(560\) | −6.12011 | − | 4.21120i | −0.258622 | − | 0.177956i | ||||
\(561\) | −0.497172 | + | 0.573767i | −0.0209906 | + | 0.0242245i | ||||
\(562\) | −13.0893 | − | 20.3674i | −0.552141 | − | 0.859148i | ||||
\(563\) | 30.8686 | − | 4.43823i | 1.30096 | − | 0.187049i | 0.543209 | − | 0.839598i | \(-0.317209\pi\) |
0.757747 | + | 0.652549i | \(0.226300\pi\) | |||||||
\(564\) | 0.798966 | + | 5.55693i | 0.0336426 | + | 0.233989i | ||||
\(565\) | 4.82500 | + | 11.5113i | 0.202989 | + | 0.484283i | ||||
\(566\) | −1.38259 | + | 1.59559i | −0.0581145 | + | 0.0670677i | ||||
\(567\) | 3.02211 | + | 1.38015i | 0.126917 | + | 0.0579610i | ||||
\(568\) | −0.519144 | + | 0.807804i | −0.0217828 | + | 0.0338947i | ||||
\(569\) | −15.5613 | + | 4.56920i | −0.652362 | + | 0.191551i | −0.591135 | − | 0.806573i | \(-0.701320\pi\) |
−0.0612278 | + | 0.998124i | \(0.519502\pi\) | |||||||
\(570\) | −8.16653 | − | 13.6329i | −0.342058 | − | 0.571018i | ||||
\(571\) | 43.7774 | + | 12.8542i | 1.83203 | + | 0.537931i | 0.999862 | − | 0.0165979i | \(-0.00528353\pi\) |
0.832164 | + | 0.554529i | \(0.187102\pi\) | |||||||
\(572\) | −6.00581 | + | 2.74276i | −0.251115 | + | 0.114681i | ||||
\(573\) | 21.6931 | + | 3.11900i | 0.906243 | + | 0.130298i | ||||
\(574\) | −15.0068 | −0.626372 | ||||||||
\(575\) | 14.9205 | + | 18.7717i | 0.622229 | + | 0.782835i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 21.3541 | + | 3.07026i | 0.888983 | + | 0.127816i | 0.571650 | − | 0.820498i | \(-0.306304\pi\) |
0.317333 | + | 0.948314i | \(0.397213\pi\) | |||||||
\(578\) | −15.3269 | + | 6.99956i | −0.637515 | + | 0.291144i | ||||
\(579\) | −20.7168 | − | 6.08301i | −0.860962 | − | 0.252801i | ||||
\(580\) | 3.73110 | + | 6.22854i | 0.154926 | + | 0.258626i | ||||
\(581\) | −38.9379 | + | 11.4332i | −1.61542 | + | 0.474329i | ||||
\(582\) | 0.292823 | − | 0.455641i | 0.0121379 | − | 0.0188869i | ||||
\(583\) | −8.86885 | − | 4.05027i | −0.367310 | − | 0.167745i | ||||
\(584\) | 7.09429 | − | 8.18724i | 0.293564 | − | 0.338791i | ||||
\(585\) | 2.91558 | + | 6.95587i | 0.120544 | + | 0.287590i | ||||
\(586\) | −0.425012 | − | 2.95602i | −0.0175571 | − | 0.122112i | ||||
\(587\) | 36.7517 | − | 5.28409i | 1.51690 | − | 0.218098i | 0.667009 | − | 0.745050i | \(-0.267574\pi\) |
0.849895 | + | 0.526952i | \(0.176665\pi\) | |||||||
\(588\) | 2.18310 | + | 3.39697i | 0.0900295 | + | 0.140089i | ||||
\(589\) | 14.1375 | − | 16.3156i | 0.582526 | − | 0.672271i | ||||
\(590\) | 10.0816 | + | 6.93709i | 0.415054 | + | 0.285596i | ||||
\(591\) | −0.917979 | − | 0.589949i | −0.0377606 | − | 0.0242673i | ||||
\(592\) | −0.0732462 | − | 0.249454i | −0.00301040 | − | 0.0102525i | ||||
\(593\) | −8.86636 | + | 7.68275i | −0.364098 | + | 0.315493i | −0.817626 | − | 0.575749i | \(-0.804710\pi\) |
0.453528 | + | 0.891242i | \(0.350165\pi\) | |||||||
\(594\) | 1.87817 | + | 0.551480i | 0.0770622 | + | 0.0226275i | ||||
\(595\) | 0.724321 | + | 2.78882i | 0.0296942 | + | 0.114330i | ||||
\(596\) | 0.564246 | − | 3.92442i | 0.0231124 | − | 0.160750i | ||||
\(597\) | 25.4678i | 1.04233i | ||||||||
\(598\) | −16.1728 | + | 0.332718i | −0.661354 | + | 0.0136058i | ||||
\(599\) | 20.8620 | 0.852400 | 0.426200 | − | 0.904629i | \(-0.359852\pi\) | ||||
0.426200 | + | 0.904629i | \(0.359852\pi\) | |||||||
\(600\) | −2.35922 | + | 4.40841i | −0.0963146 | + | 0.179973i | ||||
\(601\) | −14.8547 | − | 32.5272i | −0.605935 | − | 1.32681i | −0.925320 | − | 0.379187i | \(-0.876204\pi\) |
0.319386 | − | 0.947625i | \(-0.396523\pi\) | |||||||
\(602\) | −1.85853 | + | 6.32957i | −0.0757480 | + | 0.257974i | ||||
\(603\) | −8.15060 | + | 7.06254i | −0.331918 | + | 0.287609i | ||||
\(604\) | 5.97108 | − | 1.75327i | 0.242960 | − | 0.0713394i | ||||
\(605\) | 11.7774 | + | 10.8729i | 0.478817 | + | 0.442047i | ||||
\(606\) | 4.54208 | − | 9.94576i | 0.184509 | − | 0.404019i | ||||
\(607\) | 2.02885 | + | 1.75801i | 0.0823484 | + | 0.0713553i | 0.695062 | − | 0.718949i | \(-0.255377\pi\) |
−0.612714 | + | 0.790305i | \(0.709922\pi\) | |||||||
\(608\) | 3.84233 | + | 5.97879i | 0.155827 | + | 0.242472i | ||||
\(609\) | −1.53526 | − | 10.6779i | −0.0622117 | − | 0.432692i | ||||
\(610\) | 18.2529 | + | 0.574984i | 0.739039 | + | 0.0232804i | ||||
\(611\) | 15.9301 | − | 10.2376i | 0.644462 | − | 0.414171i | ||||
\(612\) | −0.293118 | − | 0.253988i | −0.0118486 | − | 0.0102669i | ||||
\(613\) | −1.50132 | − | 0.685630i | −0.0606377 | − | 0.0276923i | 0.384865 | − | 0.922973i | \(-0.374248\pi\) |
−0.445503 | + | 0.895280i | \(0.646975\pi\) | |||||||
\(614\) | 10.0546 | + | 6.46171i | 0.405772 | + | 0.260774i | ||||
\(615\) | 1.12192 | + | 10.0377i | 0.0452402 | + | 0.404757i | ||||
\(616\) | 4.25879 | + | 4.91491i | 0.171592 | + | 0.198027i | ||||
\(617\) | 8.89495 | − | 30.2934i | 0.358097 | − | 1.21957i | −0.561756 | − | 0.827303i | \(-0.689874\pi\) |
0.919853 | − | 0.392264i | \(-0.128308\pi\) | |||||||
\(618\) | 13.6914 | − | 6.25267i | 0.550750 | − | 0.251519i | ||||
\(619\) | −5.04260 | + | 35.0721i | −0.202679 | + | 1.40967i | 0.593612 | + | 0.804752i | \(0.297701\pi\) |
−0.796291 | + | 0.604914i | \(0.793208\pi\) | |||||||
\(620\) | −6.68949 | − | 1.17786i | −0.268656 | − | 0.0473041i | ||||
\(621\) | 3.68828 | + | 3.06539i | 0.148005 | + | 0.123010i | ||||
\(622\) | 10.6777i | 0.428137i | ||||||||
\(623\) | 9.53013 | + | 1.37023i | 0.381817 | + | 0.0548969i | ||||
\(624\) | −1.40118 | − | 3.06816i | −0.0560922 | − | 0.122825i | ||||
\(625\) | −13.8682 | − | 20.8008i | −0.554728 | − | 0.832032i | ||||
\(626\) | 4.06528 | + | 4.69158i | 0.162481 | + | 0.187513i | ||||
\(627\) | 3.91937 | + | 13.3481i | 0.156524 | + | 0.533073i | ||||
\(628\) | 4.90033 | − | 7.62506i | 0.195544 | − | 0.304273i | ||||
\(629\) | −0.0418886 | + | 0.0917231i | −0.00167021 | + | 0.00365724i | ||||
\(630\) | 5.76485 | − | 4.68577i | 0.229677 | − | 0.186686i | ||||
\(631\) | −13.7213 | + | 8.81813i | −0.546236 | + | 0.351044i | −0.784473 | − | 0.620163i | \(-0.787067\pi\) |
0.238238 | + | 0.971207i | \(0.423430\pi\) | |||||||
\(632\) | 15.2908 | − | 2.19849i | 0.608236 | − | 0.0874512i | ||||
\(633\) | −2.78496 | + | 0.400417i | −0.110692 | + | 0.0159151i | ||||
\(634\) | 24.9765 | − | 16.0514i | 0.991942 | − | 0.637482i | ||||
\(635\) | 1.27808 | + | 1.57241i | 0.0507190 | + | 0.0623990i | ||||
\(636\) | 2.06914 | − | 4.53079i | 0.0820469 | − | 0.179658i | ||||
\(637\) | 7.36354 | − | 11.4579i | 0.291754 | − | 0.453978i | ||||
\(638\) | −1.79067 | − | 6.09846i | −0.0708933 | − | 0.241440i | ||||
\(639\) | −0.628822 | − | 0.725699i | −0.0248758 | − | 0.0287082i | ||||
\(640\) | 0.992477 | − | 2.00374i | 0.0392311 | − | 0.0792049i | ||||
\(641\) | −18.7035 | − | 40.9549i | −0.738744 | − | 1.61762i | −0.785610 | − | 0.618722i | \(-0.787651\pi\) |
0.0468664 | − | 0.998901i | \(-0.485076\pi\) | |||||||
\(642\) | −5.97200 | − | 0.858644i | −0.235696 | − | 0.0338880i | ||||
\(643\) | 39.9947i | 1.57724i | 0.614883 | + | 0.788619i | \(0.289203\pi\) | ||||
−0.614883 | + | 0.788619i | \(0.710797\pi\) | |||||||
\(644\) | 4.80246 | + | 15.1924i | 0.189243 | + | 0.598666i | ||||
\(645\) | 4.37263 | + | 0.769917i | 0.172172 | + | 0.0303155i | ||||
\(646\) | 0.392285 | − | 2.72840i | 0.0154342 | − | 0.107347i | ||||
\(647\) | 29.4869 | − | 13.4662i | 1.15925 | − | 0.529411i | 0.259468 | − | 0.965752i | \(-0.416453\pi\) |
0.899782 | + | 0.436340i | \(0.143726\pi\) | |||||||
\(648\) | −0.281733 | + | 0.959493i | −0.0110675 | + | 0.0376924i | ||||
\(649\) | −7.01550 | − | 8.09632i | −0.275382 | − | 0.317808i | ||||
\(650\) | 16.8314 | + | 1.06146i | 0.660183 | + | 0.0416340i | ||||
\(651\) | 8.49004 | + | 5.45622i | 0.332751 | + | 0.213846i | ||||
\(652\) | 18.4022 | + | 8.40399i | 0.720685 | + | 0.329126i | ||||
\(653\) | −26.6339 | − | 23.0784i | −1.04226 | − | 0.903128i | −0.0468618 | − | 0.998901i | \(-0.514922\pi\) |
−0.995403 | + | 0.0957737i | \(0.969467\pi\) | |||||||
\(654\) | 4.24089 | − | 2.72545i | 0.165832 | − | 0.106574i | ||||
\(655\) | −1.25325 | + | 39.7845i | −0.0489685 | + | 1.55451i | ||||
\(656\) | −0.642826 | − | 4.47095i | −0.0250981 | − | 0.174561i | ||||
\(657\) | 5.85691 | + | 9.11353i | 0.228500 | + | 0.355553i | ||||
\(658\) | −14.0962 | − | 12.2144i | −0.549526 | − | 0.476167i | ||||
\(659\) | 17.5999 | − | 38.5385i | 0.685597 | − | 1.50125i | −0.171006 | − | 0.985270i | \(-0.554702\pi\) |
0.856602 | − | 0.515977i | \(-0.172571\pi\) | |||||||
\(660\) | 2.96906 | − | 3.21604i | 0.115571 | − | 0.125184i | ||||
\(661\) | −6.78123 | + | 1.99115i | −0.263759 | + | 0.0774467i | −0.410938 | − | 0.911663i | \(-0.634799\pi\) |
0.147179 | + | 0.989110i | \(0.452981\pi\) | |||||||
\(662\) | −17.0247 | + | 14.7520i | −0.661683 | + | 0.573351i | ||||
\(663\) | −0.368566 | + | 1.25522i | −0.0143139 | + | 0.0487487i | ||||
\(664\) | −5.07421 | − | 11.1110i | −0.196917 | − | 0.431189i | ||||
\(665\) | 50.1657 | + | 16.4625i | 1.94534 | + | 0.638389i | ||||
\(666\) | 0.259985 | 0.0100742 | ||||||||
\(667\) | 1.89865 | − | 15.4560i | 0.0735161 | − | 0.598459i | ||||
\(668\) | 17.5933i | 0.680705i | ||||||||
\(669\) | 2.97967 | − | 20.7241i | 0.115201 | − | 0.801238i | ||||
\(670\) | 6.06223 | + | 23.3411i | 0.234204 | + | 0.901746i | ||||
\(671\) | −15.3390 | − | 4.50394i | −0.592156 | − | 0.173873i | ||||
\(672\) | −2.51086 | + | 2.17567i | −0.0968586 | + | 0.0839285i | ||||
\(673\) | −2.99159 | − | 10.1884i | −0.115317 | − | 0.392735i | 0.881525 | − | 0.472137i | \(-0.156517\pi\) |
−0.996843 | + | 0.0794020i | \(0.974699\pi\) | |||||||
\(674\) | 18.0760 | + | 11.6167i | 0.696260 | + | 0.447459i | ||||
\(675\) | −3.56517 | − | 3.50564i | −0.137224 | − | 0.134932i | ||||
\(676\) | 1.06288 | − | 1.22662i | 0.0408798 | − | 0.0471778i | ||||
\(677\) | 15.1662 | + | 23.5991i | 0.582884 | + | 0.906985i | 0.999998 | − | 0.00186877i | \(-0.000594848\pi\) |
−0.417114 | + | 0.908854i | \(0.636958\pi\) | |||||||
\(678\) | 5.52512 | − | 0.794393i | 0.212191 | − | 0.0305085i | ||||
\(679\) | 0.256089 | + | 1.78114i | 0.00982780 | + | 0.0683538i | ||||
\(680\) | −0.799841 | + | 0.335256i | −0.0306725 | + | 0.0128565i | ||||
\(681\) | 12.8304 | − | 14.8071i | 0.491662 | − | 0.567408i | ||||
\(682\) | 5.40875 | + | 2.47009i | 0.207112 | + | 0.0945847i | ||||
\(683\) | 11.9942 | − | 18.6633i | 0.458943 | − | 0.714130i | −0.532245 | − | 0.846590i | \(-0.678651\pi\) |
0.991188 | + | 0.132461i | \(0.0422878\pi\) | |||||||
\(684\) | −6.81911 | + | 2.00227i | −0.260735 | + | 0.0765588i | ||||
\(685\) | 19.1190 | − | 11.4529i | 0.730498 | − | 0.437592i | ||||
\(686\) | 9.44221 | + | 2.77248i | 0.360505 | + | 0.105854i | ||||
\(687\) | 19.2953 | − | 8.81186i | 0.736161 | − | 0.336193i | ||||
\(688\) | −1.96537 | − | 0.282577i | −0.0749290 | − | 0.0107732i | ||||
\(689\) | −16.8005 | −0.640047 | ||||||||
\(690\) | 9.80278 | − | 4.34804i | 0.373186 | − | 0.165527i | ||||
\(691\) | 5.35871 | 0.203855 | 0.101927 | − | 0.994792i | \(-0.467499\pi\) | ||||
0.101927 | + | 0.994792i | \(0.467499\pi\) | |||||||
\(692\) | −4.33953 | − | 0.623930i | −0.164964 | − | 0.0237183i | ||||
\(693\) | −5.91566 | + | 2.70159i | −0.224717 | + | 0.102625i | ||||
\(694\) | −28.5453 | − | 8.38167i | −1.08357 | − | 0.318164i | ||||
\(695\) | −22.2466 | − | 37.1375i | −0.843860 | − | 1.40870i | ||||
\(696\) | 3.11550 | − | 0.914793i | 0.118093 | − | 0.0346751i | ||||
\(697\) | −0.947146 | + | 1.47379i | −0.0358757 | + | 0.0558237i | ||||
\(698\) | −13.3409 | − | 6.09258i | −0.504960 | − | 0.230607i | ||||
\(699\) | 11.0586 | − | 12.7624i | 0.418276 | − | 0.482717i | ||||
\(700\) | −3.66761 | − | 16.2018i | −0.138622 | − | 0.612370i | ||||
\(701\) | 6.98586 | + | 48.5877i | 0.263852 | + | 1.83513i | 0.503165 | + | 0.864190i | \(0.332169\pi\) |
−0.239313 | + | 0.970942i | \(0.576922\pi\) | |||||||
\(702\) | 3.33864 | − | 0.480024i | 0.126009 | − | 0.0181173i | ||||
\(703\) | 0.998949 | + | 1.55439i | 0.0376761 | + | 0.0586251i | ||||
\(704\) | −1.28186 | + | 1.47935i | −0.0483121 | + | 0.0557551i | ||||
\(705\) | −7.11605 | + | 10.3417i | −0.268006 | + | 0.389492i | ||||
\(706\) | 25.9739 | + | 16.6924i | 0.977541 | + | 0.628227i | ||||
\(707\) | 10.2342 | + | 34.8545i | 0.384897 | + | 1.31084i | ||||
\(708\) | 4.13613 | − | 3.58398i | 0.155445 | − | 0.134694i | ||||
\(709\) | −47.7072 | − | 14.0081i | −1.79168 | − | 0.526085i | −0.794935 | − | 0.606694i | \(-0.792495\pi\) |
−0.996746 | + | 0.0806094i | \(0.974313\pi\) | |||||||
\(710\) | −2.07821 | + | 0.539759i | −0.0779937 | + | 0.0202568i | ||||
\(711\) | −2.19849 | + | 15.2908i | −0.0824497 | + | 0.573451i | ||||
\(712\) | 2.89799i | 0.108607i | ||||||||
\(713\) | 9.76449 | + | 10.8113i | 0.365683 | + | 0.404885i | ||||
\(714\) | 1.28858 | 0.0482237 | ||||||||
\(715\) | −14.0275 | − | 4.60331i | −0.524600 | − | 0.172154i | ||||
\(716\) | 8.42663 | + | 18.4517i | 0.314918 | + | 0.689574i | ||||
\(717\) | −4.30813 | + | 14.6721i | −0.160890 | + | 0.547941i | ||||
\(718\) | 8.89226 | − | 7.70519i | 0.331856 | − | 0.287555i | ||||
\(719\) | −17.9294 | + | 5.26455i | −0.668655 | + | 0.196335i | −0.598404 | − | 0.801195i | \(-0.704198\pi\) |
−0.0702509 | + | 0.997529i | \(0.522380\pi\) | |||||||
\(720\) | 1.64297 | + | 1.51679i | 0.0612297 | + | 0.0565276i | ||||
\(721\) | −20.7735 | + | 45.4877i | −0.773646 | + | 1.69405i | ||||
\(722\) | −23.8132 | − | 20.6343i | −0.886237 | − | 0.767929i | ||||
\(723\) | −10.3981 | − | 16.1797i | −0.386708 | − | 0.601730i | ||||
\(724\) | 1.95837 | + | 13.6207i | 0.0727821 | + | 0.506211i | ||||
\(725\) | −3.31735 | + | 15.8926i | −0.123203 | + | 0.590236i | ||||
\(726\) | 6.03040 | − | 3.87550i | 0.223809 | − | 0.143833i | ||||
\(727\) | 23.0552 | + | 19.9774i | 0.855070 | + | 0.740922i | 0.967536 | − | 0.252734i | \(-0.0813296\pi\) |
−0.112466 | + | 0.993656i | \(0.535875\pi\) | |||||||
\(728\) | 10.1935 | + | 4.65522i | 0.377796 | + | 0.172534i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 24.0740 | − | 2.69078i | 0.891020 | − | 0.0995903i | ||||
\(731\) | 0.504314 | + | 0.582010i | 0.0186527 | + | 0.0215264i | ||||
\(732\) | 2.30091 | − | 7.83618i | 0.0850441 | − | 0.289634i | ||||
\(733\) | 0.462523 | − | 0.211227i | 0.0170837 | − | 0.00780185i | −0.406855 | − | 0.913493i | \(-0.633375\pi\) |
0.423939 | + | 0.905691i | \(0.360647\pi\) | |||||||
\(734\) | 2.99113 | − | 20.8037i | 0.110404 | − | 0.767880i | ||||
\(735\) | −1.56575 | + | 8.89242i | −0.0577535 | + | 0.328002i | ||||
\(736\) | −4.32054 | + | 2.08157i | −0.159257 | + | 0.0767276i | ||||
\(737\) | − | 21.1108i | − | 0.777626i | ||||||
\(738\) | 4.47095 | + | 0.642826i | 0.164578 | + | 0.0236627i | ||||
\(739\) | 15.1875 | + | 33.2559i | 0.558680 | + | 1.22334i | 0.952609 | + | 0.304198i | \(0.0983885\pi\) |
−0.393928 | + | 0.919141i | \(0.628884\pi\) | |||||||
\(740\) | 0.258029 | − | 0.520943i | 0.00948533 | − | 0.0191503i | ||||
\(741\) | 15.6981 | + | 18.1166i | 0.576685 | + | 0.665530i | ||||
\(742\) | 4.66220 | + | 15.8780i | 0.171155 | + | 0.582899i | ||||
\(743\) | −3.18575 | + | 4.95712i | −0.116874 | + | 0.181859i | −0.894762 | − | 0.446544i | \(-0.852655\pi\) |
0.777888 | + | 0.628403i | \(0.216291\pi\) | |||||||
\(744\) | −1.26189 | + | 2.76315i | −0.0462630 | + | 0.101302i | ||||
\(745\) | 6.87957 | − | 5.59184i | 0.252048 | − | 0.204869i | ||||
\(746\) | −28.7100 | + | 18.4508i | −1.05115 | + | 0.675532i | ||||
\(747\) | 12.0905 | − | 1.73835i | 0.442367 | − | 0.0636027i | ||||
\(748\) | 0.751475 | − | 0.108046i | 0.0274767 | − | 0.00395055i | ||||
\(749\) | 16.8630 | − | 10.8372i | 0.616160 | − | 0.395982i | ||||
\(750\) | −10.5628 | + | 3.66442i | −0.385698 | + | 0.133806i | ||||
\(751\) | 18.8594 | − | 41.2964i | 0.688191 | − | 1.50693i | −0.165534 | − | 0.986204i | \(-0.552935\pi\) |
0.853725 | − | 0.520724i | \(-0.174338\pi\) | |||||||
\(752\) | 3.03520 | − | 4.72286i | 0.110682 | − | 0.172225i | ||||
\(753\) | −4.84976 | − | 16.5168i | −0.176735 | − | 0.601904i | ||||
\(754\) | −7.17212 | − | 8.27707i | −0.261193 | − | 0.301433i | ||||
\(755\) | 12.4696 | + | 6.17634i | 0.453816 | + | 0.224780i | ||||
\(756\) | −1.38015 | − | 3.02211i | −0.0501957 | − | 0.109913i | ||||
\(757\) | 2.16830 | + | 0.311755i | 0.0788082 | + | 0.0113309i | 0.181606 | − | 0.983371i | \(-0.441870\pi\) |
−0.102798 | + | 0.994702i | \(0.532779\pi\) | |||||||
\(758\) | − | 12.6320i | − | 0.458815i | ||||||
\(759\) | −9.26265 | + | 1.52684i | −0.336213 | + | 0.0554208i | ||||
\(760\) | −2.75577 | + | 15.6510i | −0.0999623 | + | 0.567720i | ||||
\(761\) | 1.83337 | − | 12.7514i | 0.0664596 | − | 0.462236i | −0.929231 | − | 0.369499i | \(-0.879529\pi\) |
0.995691 | − | 0.0927372i | \(-0.0295617\pi\) | |||||||
\(762\) | 0.824304 | − | 0.376447i | 0.0298614 | − | 0.0136372i | ||||
\(763\) | −4.71859 | + | 16.0700i | −0.170824 | + | 0.581774i | ||||
\(764\) | −14.3521 | − | 16.5632i | −0.519239 | − | 0.599234i | ||||
\(765\) | −0.0963349 | − | 0.861894i | −0.00348300 | − | 0.0311619i | ||||
\(766\) | 5.02795 | + | 3.23127i | 0.181667 | + | 0.116751i | ||||
\(767\) | −16.7917 | − | 7.66852i | −0.606314 | − | 0.276894i | ||||
\(768\) | −0.755750 | − | 0.654861i | −0.0272708 | − | 0.0236303i | ||||
\(769\) | −19.3442 | + | 12.4318i | −0.697570 | + | 0.448301i | −0.840770 | − | 0.541393i | \(-0.817897\pi\) |
0.143200 | + | 0.989694i | \(0.454261\pi\) | |||||||
\(770\) | −0.457858 | + | 14.5347i | −0.0165000 | + | 0.523796i | ||||
\(771\) | 0.711641 | + | 4.94957i | 0.0256291 | + | 0.178254i | ||||
\(772\) | 11.6732 | + | 18.1639i | 0.420128 | + | 0.653732i | ||||
\(773\) | 1.48167 | + | 1.28388i | 0.0532921 | + | 0.0461779i | 0.681100 | − | 0.732191i | \(-0.261502\pi\) |
−0.627808 | + | 0.778369i | \(0.716048\pi\) | |||||||
\(774\) | 0.824839 | − | 1.80615i | 0.0296482 | − | 0.0649206i | ||||
\(775\) | −9.20402 | − | 12.0818i | −0.330618 | − | 0.433990i | ||||
\(776\) | −0.519682 | + | 0.152592i | −0.0186555 | + | 0.00547775i | ||||
\(777\) | −0.652786 | + | 0.565642i | −0.0234186 | + | 0.0202923i | ||||
\(778\) | −1.86180 | + | 6.34071i | −0.0667487 | + | 0.227325i | ||||
\(779\) | 13.3356 | + | 29.2008i | 0.477796 | + | 1.04623i | ||||
\(780\) | 2.35168 | − | 7.16619i | 0.0842036 | − | 0.256591i | ||||
\(781\) | 1.87963 | 0.0672583 | ||||||||
\(782\) | 1.79512 | + | 0.487222i | 0.0641935 | + | 0.0174230i | ||||
\(783\) | 3.24703i | 0.116039i | ||||||||
\(784\) | 0.574665 | − | 3.99688i | 0.0205238 | − | 0.142746i | ||||
\(785\) | 19.6167 | − | 5.09492i | 0.700150 | − | 0.181845i | ||||
\(786\) | 17.0799 | + | 5.01512i | 0.609221 | + | 0.178883i | ||||
\(787\) | 16.3565 | − | 14.1730i | 0.583045 | − | 0.505212i | −0.312657 | − | 0.949866i | \(-0.601219\pi\) |
0.895702 | + | 0.444654i | \(0.146674\pi\) | |||||||
\(788\) | 0.307427 | + | 1.04700i | 0.0109517 | + | 0.0372979i | ||||
\(789\) | −13.2833 | − | 8.53667i | −0.472899 | − | 0.303913i | ||||
\(790\) | 28.4569 | + | 19.5810i | 1.01245 | + | 0.696660i | ||||
\(791\) | −12.1445 | + | 14.0155i | −0.431808 | + | 0.498333i | ||||
\(792\) | −1.05828 | − | 1.64672i | −0.0376044 | − | 0.0585136i | ||||
\(793\) | −27.2667 | + | 3.92036i | −0.968269 | + | 0.139216i | ||||
\(794\) | −3.40846 | − | 23.7064i | −0.120962 | − | 0.841308i | ||||
\(795\) | 10.2718 | − | 4.30547i | 0.364304 | − | 0.152699i | ||||
\(796\) | 16.6779 | − | 19.2473i | 0.591131 | − | 0.682202i | ||||
\(797\) | −24.4488 | − | 11.1654i | −0.866023 | − | 0.395499i | −0.0676831 | − | 0.997707i | \(-0.521561\pi\) |
−0.798340 | + | 0.602208i | \(0.794288\pi\) | |||||||
\(798\) | 12.7656 | − | 19.8636i | 0.451896 | − | 0.703164i | ||||
\(799\) | −2.08922 | + | 0.613452i | −0.0739115 | + | 0.0217024i | ||||
\(800\) | 4.66987 | − | 1.78670i | 0.165105 | − | 0.0631693i | ||||
\(801\) | −2.78060 | − | 0.816458i | −0.0982477 | − | 0.0288481i | ||||
\(802\) | 5.93474 | − | 2.71030i | 0.209563 | − | 0.0957042i | ||||
\(803\) | −20.9899 | − | 3.01789i | −0.740716 | − | 0.106499i | ||||
\(804\) | 10.7848 | 0.380350 | ||||||||
\(805\) | −15.1535 | + | 32.2450i | −0.534091 | + | 1.13649i | ||||
\(806\) | 10.2459 | 0.360897 | ||||||||
\(807\) | −31.2231 | − | 4.48920i | −1.09911 | − | 0.158027i | ||||
\(808\) | −9.94576 | + | 4.54208i | −0.349891 | + | 0.159790i | ||||
\(809\) | −0.835334 | − | 0.245276i | −0.0293688 | − | 0.00862345i | 0.267015 | − | 0.963692i | \(-0.413963\pi\) |
−0.296384 | + | 0.955069i | \(0.595781\pi\) | |||||||
\(810\) | −1.91823 | + | 1.14908i | −0.0673997 | + | 0.0403747i | ||||
\(811\) | −24.8854 | + | 7.30700i | −0.873843 | + | 0.256583i | −0.687749 | − | 0.725948i | \(-0.741401\pi\) |
−0.186094 | + | 0.982532i | \(0.559583\pi\) | |||||||
\(812\) | −5.83229 | + | 9.07523i | −0.204673 | + | 0.318478i | ||||
\(813\) | 0.238991 | + | 0.109144i | 0.00838179 | + | 0.00382784i | ||||
\(814\) | −0.333265 | + | 0.384609i | −0.0116809 | + | 0.0134805i | ||||
\(815\) | 17.4870 | + | 41.7198i | 0.612543 | + | 1.46138i | ||||
\(816\) | 0.0551970 | + | 0.383903i | 0.00193228 | + | 0.0134393i | ||||
\(817\) | 13.9679 | − | 2.00828i | 0.488674 | − | 0.0702607i | ||||
\(818\) | 9.27213 | + | 14.4277i | 0.324193 | + | 0.504454i | ||||
\(819\) | −7.33849 | + | 8.46907i | −0.256428 | + | 0.295933i | ||||
\(820\) | 5.72537 | − | 8.32065i | 0.199939 | − | 0.290570i | ||||
\(821\) | −37.1714 | − | 23.8886i | −1.29729 | − | 0.833719i | −0.304378 | − | 0.952551i | \(-0.598449\pi\) |
−0.992914 | + | 0.118832i | \(0.962085\pi\) | |||||||
\(822\) | −2.80802 | − | 9.56324i | −0.0979410 | − | 0.333556i | ||||
\(823\) | 38.5272 | − | 33.3840i | 1.34298 | − | 1.16369i | 0.370994 | − | 0.928635i | \(-0.379017\pi\) |
0.971981 | − | 0.235060i | \(-0.0755285\pi\) | |||||||
\(824\) | −14.4419 | − | 4.24053i | −0.503108 | − | 0.147726i | ||||
\(825\) | 9.75614 | − | 0.780380i | 0.339665 | − | 0.0271693i | ||||
\(826\) | −2.58769 | + | 17.9978i | −0.0900372 | + | 0.626222i | ||||
\(827\) | − | 36.1272i | − | 1.25627i | −0.778106 | − | 0.628133i | \(-0.783819\pi\) | ||
0.778106 | − | 0.628133i | \(-0.216181\pi\) | |||||||
\(828\) | −0.780012 | − | 4.73197i | −0.0271073 | − | 0.164447i | ||||
\(829\) | −40.1648 | −1.39498 | −0.697491 | − | 0.716594i | \(-0.745700\pi\) | ||||
−0.697491 | + | 0.716594i | \(0.745700\pi\) | |||||||
\(830\) | 8.51630 | − | 25.9514i | 0.295605 | − | 0.900788i | ||||
\(831\) | −2.47706 | − | 5.42401i | −0.0859283 | − | 0.188157i | ||||
\(832\) | −0.950276 | + | 3.23634i | −0.0329449 | + | 0.112200i | ||||
\(833\) | −1.18361 | + | 1.02560i | −0.0410096 | + | 0.0355350i | ||||
\(834\) | −18.5760 | + | 5.45442i | −0.643236 | + | 0.188871i | ||||
\(835\) | −26.6854 | + | 28.9052i | −0.923487 | + | 1.00031i | ||||
\(836\) | 5.77911 | − | 12.6545i | 0.199875 | − | 0.437665i | ||||
\(837\) | −2.29570 | − | 1.98924i | −0.0793511 | − | 0.0687582i | ||||
\(838\) | −13.3570 | − | 20.7838i | −0.461409 | − | 0.717966i | ||||
\(839\) | −6.31318 | − | 43.9092i | −0.217955 | − | 1.51591i | −0.745569 | − | 0.666428i | \(-0.767822\pi\) |
0.527614 | − | 0.849484i | \(-0.323087\pi\) | |||||||
\(840\) | −7.42531 | − | 0.233904i | −0.256198 | − | 0.00807045i | ||||
\(841\) | −15.5269 | + | 9.97851i | −0.535409 | + | 0.344087i | ||||
\(842\) | −23.0855 | − | 20.0037i | −0.795579 | − | 0.689373i | ||||
\(843\) | −22.0229 | − | 10.0575i | −0.758510 | − | 0.346400i | ||||
\(844\) | 2.36695 | + | 1.52115i | 0.0814738 | + | 0.0523600i | ||||
\(845\) | 3.60680 | − | 0.403137i | 0.124078 | − | 0.0138683i | ||||
\(846\) | 3.67644 | + | 4.24284i | 0.126399 | + | 0.145872i | ||||
\(847\) | −6.70967 | + | 22.8510i | −0.230547 | + | 0.785171i | ||||
\(848\) | −4.53079 | + | 2.06914i | −0.155588 | + | 0.0710547i | ||||
\(849\) | −0.300465 | + | 2.08978i | −0.0103119 | + | 0.0717211i | ||||
\(850\) | −1.82263 | − | 0.662380i | −0.0625156 | − | 0.0227194i | ||||
\(851\) | −1.12328 | + | 0.541176i | −0.0385054 | + | 0.0185513i | ||||
\(852\) | 0.960238i | 0.0328972i | ||||||||
\(853\) | 8.28455 | + | 1.19114i | 0.283658 | + | 0.0407838i | 0.282675 | − | 0.959216i | \(-0.408778\pi\) |
0.000982526 | 1.00000i | \(0.499687\pi\) | ||||||||
\(854\) | 11.2717 | + | 24.6816i | 0.385710 | + | 0.844587i | ||||
\(855\) | −14.2406 | − | 7.05353i | −0.487018 | − | 0.241226i | ||||
\(856\) | 3.95104 | + | 4.55975i | 0.135044 | + | 0.155849i | ||||
\(857\) | 3.98660 | + | 13.5771i | 0.136180 | + | 0.463786i | 0.999139 | − | 0.0414878i | \(-0.0132098\pi\) |
−0.862959 | + | 0.505274i | \(0.831392\pi\) | |||||||
\(858\) | −3.56956 | + | 5.55434i | −0.121863 | + | 0.189622i | ||||
\(859\) | 2.93057 | − | 6.41706i | 0.0999898 | − | 0.218947i | −0.853026 | − | 0.521869i | \(-0.825235\pi\) |
0.953015 | + | 0.302922i | \(0.0979622\pi\) | |||||||
\(860\) | −2.80042 | − | 3.44533i | −0.0954936 | − | 0.117485i | ||||
\(861\) | −12.6245 | + | 8.11329i | −0.430243 | + | 0.276500i | ||||
\(862\) | 22.8574 | − | 3.28640i | 0.778527 | − | 0.111935i | ||||
\(863\) | −49.0910 | + | 7.05822i | −1.67108 | + | 0.240264i | −0.911838 | − | 0.410549i | \(-0.865337\pi\) |
−0.759237 | + | 0.650814i | \(0.774428\pi\) | |||||||
\(864\) | 0.841254 | − | 0.540641i | 0.0286200 | − | 0.0183930i | ||||
\(865\) | −6.18332 | − | 7.60727i | −0.210239 | − | 0.258655i | ||||
\(866\) | 13.9973 | − | 30.6498i | 0.475648 | − | 1.04152i | ||||
\(867\) | −9.10957 | + | 14.1748i | −0.309377 | + | 0.481400i | ||||
\(868\) | −2.84328 | − | 9.68333i | −0.0965073 | − | 0.328674i | ||||
\(869\) | −19.8023 | − | 22.8531i | −0.671747 | − | 0.775238i | ||||
\(870\) | 6.50621 | + | 3.22260i | 0.220581 | + | 0.109256i | ||||
\(871\) | −15.1115 | − | 33.0895i | −0.512033 | − | 1.12119i | ||||
\(872\) | −4.98984 | − | 0.717431i | −0.168977 | − | 0.0242953i | ||||
\(873\) | − | 0.541622i | − | 0.0183311i | ||||||
\(874\) | 25.2944 | − | 22.8453i | 0.855596 | − | 0.772755i | ||||
\(875\) | 18.5490 | − | 32.1820i | 0.627072 | − | 1.08795i | ||||
\(876\) | 1.54174 | − | 10.7230i | 0.0520904 | − | 0.362297i | ||||
\(877\) | 5.65949 | − | 2.58460i | 0.191107 | − | 0.0872758i | −0.317563 | − | 0.948237i | \(-0.602864\pi\) |
0.508670 | + | 0.860961i | \(0.330137\pi\) | |||||||
\(878\) | 5.73716 | − | 19.5390i | 0.193620 | − | 0.659408i | ||||
\(879\) | −1.95569 | − | 2.25698i | −0.0659637 | − | 0.0761262i | ||||
\(880\) | −4.34993 | + | 0.486196i | −0.146636 | + | 0.0163897i | ||||
\(881\) | 25.3293 | + | 16.2781i | 0.853364 | + | 0.548424i | 0.892622 | − | 0.450805i | \(-0.148863\pi\) |
−0.0392581 | + | 0.999229i | \(0.512499\pi\) | |||||||
\(882\) | 3.67308 | + | 1.67744i | 0.123679 | + | 0.0564823i | ||||
\(883\) | 16.2891 | + | 14.1146i | 0.548173 | + | 0.474995i | 0.884363 | − | 0.466799i | \(-0.154593\pi\) |
−0.336190 | + | 0.941794i | \(0.609138\pi\) | |||||||
\(884\) | 1.10054 | − | 0.707272i | 0.0370151 | − | 0.0237881i | ||||
\(885\) | 12.2317 | + | 0.385309i | 0.411164 | + | 0.0129520i | ||||
\(886\) | 4.65717 | + | 32.3913i | 0.156461 | + | 1.08821i | ||||
\(887\) | −10.4674 | − | 16.2877i | −0.351462 | − | 0.546886i | 0.619842 | − | 0.784727i | \(-0.287197\pi\) |
−0.971304 | + | 0.237841i | \(0.923560\pi\) | |||||||
\(888\) | −0.196483 | − | 0.170254i | −0.00659355 | − | 0.00571335i | ||||
\(889\) | −1.25069 | + | 2.73862i | −0.0419467 | + | 0.0918505i | ||||
\(890\) | −4.39566 | + | 4.76130i | −0.147343 | + | 0.159599i | ||||
\(891\) | 1.87817 | − | 0.551480i | 0.0629210 | − | 0.0184753i | ||||
\(892\) | −15.8233 | + | 13.7109i | −0.529802 | + | 0.459076i | ||||
\(893\) | −11.2409 | + | 38.2830i | −0.376163 | + | 1.28109i | ||||
\(894\) | −1.64703 | − | 3.60649i | −0.0550848 | − | 0.120619i | ||||
\(895\) | −14.1428 | + | 43.0970i | −0.472743 | + | 1.44057i | ||||
\(896\) | 3.32235 | 0.110992 | ||||||||
\(897\) | −13.4255 | + | 9.02357i | −0.448266 | + | 0.301288i | ||||
\(898\) | − | 2.19139i | − | 0.0731275i | ||||||
\(899\) | −1.40370 | + | 9.76294i | −0.0468160 | + | 0.325612i | ||||
\(900\) | 0.398670 | + | 4.98408i | 0.0132890 | + | 0.166136i | ||||
\(901\) | 1.85360 | + | 0.544265i | 0.0617523 | + | 0.0181321i | ||||
\(902\) | −6.68211 | + | 5.79008i | −0.222490 | + | 0.192789i | ||||
\(903\) | 1.85853 | + | 6.32957i | 0.0618479 | + | 0.210635i | ||||
\(904\) | −4.69583 | − | 3.01783i | −0.156181 | − | 0.100371i | ||||
\(905\) | −17.4423 | + | 25.3488i | −0.579803 | + | 0.842624i | ||||
\(906\) | 4.07530 | − | 4.70315i | 0.135393 | − | 0.156252i | ||||
\(907\) | −19.8024 | − | 30.8131i | −0.657528 | − | 1.02313i | −0.996602 | − | 0.0823734i | \(-0.973750\pi\) |
0.339074 | − | 0.940760i | \(-0.389886\pi\) | |||||||
\(908\) | −19.3931 | + | 2.78831i | −0.643583 | + | 0.0925333i | ||||
\(909\) | −1.55605 | − | 10.8225i | −0.0516108 | − | 0.358961i | ||||
\(910\) | 9.68656 | + | 23.1098i | 0.321107 | + | 0.766083i | ||||
\(911\) | 33.4972 | − | 38.6578i | 1.10981 | − | 1.28079i | 0.153593 | − | 0.988134i | \(-0.450916\pi\) |
0.956218 | − | 0.292656i | \(-0.0945389\pi\) | |||||||
\(912\) | 6.46475 | + | 2.95235i | 0.214069 | + | 0.0977622i | ||||
\(913\) | −12.9267 | + | 20.1143i | −0.427811 | + | 0.665687i | ||||
\(914\) | −2.00429 | + | 0.588511i | −0.0662959 | + | 0.0194662i | ||||
\(915\) | 15.6662 | − | 9.38457i | 0.517909 | − | 0.310244i | ||||
\(916\) | −20.3529 | − | 5.97616i | −0.672480 | − | 0.197458i | ||||
\(917\) | −53.7966 | + | 24.5681i | −1.77652 | + | 0.811310i | ||||
\(918\) | −0.383903 | − | 0.0551970i | −0.0126707 | − | 0.00182177i | ||||
\(919\) | −51.0741 | −1.68478 | −0.842390 | − | 0.538868i | \(-0.818852\pi\) | ||||
−0.842390 | + | 0.538868i | \(0.818852\pi\) | |||||||
\(920\) | −10.2558 | − | 3.13343i | −0.338124 | − | 0.103306i | ||||
\(921\) | 11.9520 | 0.393830 | ||||||||
\(922\) | −26.3253 | − | 3.78500i | −0.866977 | − | 0.124652i | ||||
\(923\) | 2.94617 | − | 1.34547i | 0.0969743 | − | 0.0442867i | ||||
\(924\) | 6.23993 | + | 1.83221i | 0.205279 | + | 0.0602752i | ||||
\(925\) | 1.21410 | − | 0.464515i | 0.0399192 | − | 0.0152731i | ||||
\(926\) | −7.24807 | + | 2.12822i | −0.238186 | + | 0.0699378i | ||||
\(927\) | 8.13752 | − | 12.6622i | 0.267271 | − | 0.415882i | ||||
\(928\) | −2.95360 | − | 1.34886i | −0.0969566 | − | 0.0442786i | ||||
\(929\) | 24.2487 | − | 27.9845i | 0.795573 | − | 0.918140i | −0.202557 | − | 0.979271i | \(-0.564925\pi\) |
0.998130 | + | 0.0611304i | \(0.0194706\pi\) | |||||||
\(930\) | −6.26436 | + | 2.62573i | −0.205416 | + | 0.0861011i | ||||
\(931\) | 4.08415 | + | 28.4059i | 0.133852 | + | 0.930964i | ||||
\(932\) | −16.7151 | + | 2.40327i | −0.547522 | + | 0.0787218i | ||||
\(933\) | 5.77281 | + | 8.98267i | 0.188993 | + | 0.294079i | ||||
\(934\) | −15.8696 | + | 18.3145i | −0.519271 | + | 0.599270i | ||||
\(935\) | 1.39853 | + | 0.962318i | 0.0457369 | + | 0.0314712i | ||||
\(936\) | −2.83753 | − | 1.82357i | −0.0927474 | − | 0.0596051i | ||||
\(937\) | 10.0320 | + | 34.1658i | 0.327730 | + | 1.11615i | 0.944365 | + | 0.328898i | \(0.106677\pi\) |
−0.616635 | + | 0.787249i | \(0.711505\pi\) | |||||||
\(938\) | −27.0791 | + | 23.4642i | −0.884165 | + | 0.766133i | ||||
\(939\) | 5.95639 | + | 1.74895i | 0.194380 | + | 0.0570750i | ||||
\(940\) | 12.1503 | − | 3.15573i | 0.396300 | − | 0.102928i | ||||
\(941\) | −2.56188 | + | 17.8183i | −0.0835150 | + | 0.580860i | 0.904497 | + | 0.426481i | \(0.140247\pi\) |
−0.988012 | + | 0.154379i | \(0.950662\pi\) | |||||||
\(942\) | − | 9.06392i | − | 0.295319i | ||||||
\(943\) | −20.6550 | + | 6.52923i | −0.672620 | + | 0.212621i | ||||
\(944\) | −5.47289 | −0.178127 | ||||||||
\(945\) | 2.31638 | − | 7.05863i | 0.0753519 | − | 0.229617i | ||||
\(946\) | 1.61459 | + | 3.53546i | 0.0524948 | + | 0.114948i | ||||
\(947\) | 5.28872 | − | 18.0117i | 0.171860 | − | 0.585302i | −0.827843 | − | 0.560959i | \(-0.810432\pi\) |
0.999704 | − | 0.0243429i | \(-0.00774936\pi\) | |||||||
\(948\) | 11.6749 | − | 10.1163i | 0.379182 | − | 0.328563i | ||||
\(949\) | −35.0602 | + | 10.2946i | −1.13810 | + | 0.334177i | ||||
\(950\) | −28.2669 | + | 21.5341i | −0.917101 | + | 0.698657i | ||||
\(951\) | 12.3335 | − | 27.0066i | 0.399941 | − | 0.875749i | ||||
\(952\) | −0.973841 | − | 0.843838i | −0.0315624 | − | 0.0273489i | ||||
\(953\) | 0.307841 | + | 0.479010i | 0.00997195 | + | 0.0155167i | 0.846204 | − | 0.532859i | \(-0.178883\pi\) |
−0.836232 | + | 0.548376i | \(0.815246\pi\) | |||||||
\(954\) | −0.708857 | − | 4.93021i | −0.0229501 | − | 0.159621i | ||||
\(955\) | 1.54297 | − | 48.9818i | 0.0499294 | − | 1.58501i | ||||
\(956\) | 12.8641 | − | 8.26724i | 0.416054 | − | 0.267382i | ||||
\(957\) | −4.80349 | − | 4.16224i | −0.155275 | − | 0.134546i | ||||
\(958\) | 17.6641 | + | 8.06690i | 0.570700 | + | 0.260630i | ||||
\(959\) | 27.8570 | + | 17.9026i | 0.899551 | + | 0.578106i | ||||
\(960\) | −0.248381 | − | 2.22223i | −0.00801647 | − | 0.0717222i | ||||
\(961\) | 14.2581 | + | 16.4547i | 0.459938 | + | 0.530796i | ||||
\(962\) | −0.247057 | + | 0.841400i | −0.00796545 | + | 0.0271278i | ||||
\(963\) | −5.48818 | + | 2.50637i | −0.176854 | + | 0.0807666i | ||||
\(964\) | −2.73712 | + | 19.0371i | −0.0881567 | + | 0.613143i | ||||
\(965\) | −8.37218 | + | 47.5485i | −0.269510 | + | 1.53064i | ||||
\(966\) | 12.2537 | + | 10.1843i | 0.394258 | + | 0.327674i | ||||
\(967\) | − | 19.9674i | − | 0.642110i | −0.947061 | − | 0.321055i | \(-0.895963\pi\) | ||
0.947061 | − | 0.321055i | \(-0.104037\pi\) | |||||||
\(968\) | −7.09539 | − | 1.02016i | −0.228054 | − | 0.0327893i | ||||
\(969\) | −1.14507 | − | 2.50736i | −0.0367851 | − | 0.0805481i | ||||
\(970\) | −1.08527 | − | 0.537547i | −0.0348460 | − | 0.0172596i | ||||
\(971\) | 33.2339 | + | 38.3540i | 1.06653 | + | 1.23084i | 0.971917 | + | 0.235323i | \(0.0756147\pi\) |
0.0946094 | + | 0.995514i | \(0.469840\pi\) | |||||||
\(972\) | 0.281733 | + | 0.959493i | 0.00903658 | + | 0.0307758i | ||||
\(973\) | 34.7748 | − | 54.1107i | 1.11483 | − | 1.73471i | ||||
\(974\) | 9.26025 | − | 20.2771i | 0.296718 | − | 0.649721i | ||||
\(975\) | 14.7334 | − | 8.20680i | 0.471845 | − | 0.262828i | ||||
\(976\) | −6.87052 | + | 4.41542i | −0.219920 | + | 0.141334i | ||||
\(977\) | −38.1918 | + | 5.49115i | −1.22186 | + | 0.175677i | −0.722904 | − | 0.690948i | \(-0.757193\pi\) |
−0.498959 | + | 0.866626i | \(0.666284\pi\) | |||||||
\(978\) | 20.0244 | − | 2.87908i | 0.640311 | − | 0.0920628i | ||||
\(979\) | 4.77218 | − | 3.06689i | 0.152520 | − | 0.0980183i | ||||
\(980\) | 7.00661 | − | 5.69509i | 0.223818 | − | 0.181923i | ||||
\(981\) | 2.09417 | − | 4.58560i | 0.0668618 | − | 0.146407i | ||||
\(982\) | 8.28942 | − | 12.8986i | 0.264526 | − | 0.411610i | ||||
\(983\) | 6.34726 | + | 21.6168i | 0.202446 | + | 0.689469i | 0.996648 | + | 0.0818141i | \(0.0260714\pi\) |
−0.794201 | + | 0.607655i | \(0.792110\pi\) | |||||||
\(984\) | −2.95796 | − | 3.41367i | −0.0942963 | − | 0.108824i | ||||
\(985\) | −1.08299 | + | 2.18649i | −0.0345071 | + | 0.0696674i | ||||
\(986\) | 0.523158 | + | 1.14556i | 0.0166607 | + | 0.0364819i | ||||
\(987\) | −18.4621 | − | 2.65444i | −0.587654 | − | 0.0844919i | ||||
\(988\) | − | 23.9717i | − | 0.762642i | ||||||
\(989\) | 0.195862 | + | 9.52049i | 0.00622805 | + | 0.302734i | ||||
\(990\) | 0.759014 | − | 4.31070i | 0.0241230 | − | 0.137003i | ||||
\(991\) | −2.05811 | + | 14.3145i | −0.0653781 | + | 0.454715i | 0.930667 | + | 0.365867i | \(0.119228\pi\) |
−0.996045 | + | 0.0888477i | \(0.971682\pi\) | |||||||
\(992\) | 2.76315 | − | 1.26189i | 0.0877300 | − | 0.0400649i | ||||
\(993\) | −6.34655 | + | 21.6144i | −0.201402 | + | 0.685911i | ||||
\(994\) | −2.08916 | − | 2.41102i | −0.0662643 | − | 0.0764731i | ||||
\(995\) | 56.5953 | − | 6.32573i | 1.79419 | − | 0.200539i | ||||
\(996\) | −10.2757 | − | 6.60381i | −0.325599 | − | 0.209250i | ||||
\(997\) | 41.1013 | + | 18.7704i | 1.30169 | + | 0.594463i | 0.941058 | − | 0.338244i | \(-0.109833\pi\) |
0.360634 | + | 0.932707i | \(0.382560\pi\) | |||||||
\(998\) | −14.5165 | − | 12.5786i | −0.459512 | − | 0.398170i | ||||
\(999\) | 0.218713 | − | 0.140558i | 0.00691978 | − | 0.00444707i |
(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 | 690.2.r.a.169.4 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.a.169.11 | yes | 120 | |
23.3 | even | 11 | inner | 690.2.r.a.49.11 | yes | 120 | |
115.49 | even | 22 | inner | 690.2.r.a.49.4 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.a.49.4 | ✓ | 120 | 115.49 | even | 22 | inner | |
690.2.r.a.49.11 | yes | 120 | 23.3 | even | 11 | inner | |
690.2.r.a.169.4 | yes | 120 | 1.1 | even | 1 | trivial | |
690.2.r.a.169.11 | yes | 120 | 5.4 | even | 2 | inner |