Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.7 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.158810 | + | 0.413715i | −0.112296 | + | 0.292540i | −0.978199 | − | 0.207672i | \(-0.933411\pi\) |
0.865903 | + | 0.500212i | \(0.166745\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | 1.34035 | + | 1.20686i | 0.670175 | + | 0.603429i | ||||
\(5\) | −3.17932 | − | 0.503554i | −1.42183 | − | 0.225196i | −0.602320 | − | 0.798255i | \(-0.705757\pi\) |
−0.819514 | + | 0.573059i | \(0.805757\pi\) | |||||||
\(6\) | −0.413715 | + | 0.158810i | −0.168898 | + | 0.0648340i | ||||
\(7\) | −0.944050 | + | 0.0494756i | −0.356817 | + | 0.0187000i | −0.229903 | − | 0.973214i | \(-0.573841\pi\) |
−0.126915 | + | 0.991914i | \(0.540507\pi\) | |||||||
\(8\) | −1.50185 | + | 0.765232i | −0.530985 | + | 0.270550i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.713236 | − | 1.23536i | 0.225545 | − | 0.390655i | ||||
\(11\) | −3.31434 | − | 0.123055i | −0.999311 | − | 0.0371026i | ||||
\(12\) | 1.80362i | 0.520660i | ||||||||
\(13\) | −0.616645 | + | 3.55243i | −0.171027 | + | 0.985266i | ||||
\(14\) | 0.129456 | − | 0.398425i | 0.0345986 | − | 0.106483i | ||||
\(15\) | −1.75316 | − | 2.69964i | −0.452665 | − | 0.697043i | ||||
\(16\) | 0.298981 | + | 2.84461i | 0.0747452 | + | 0.711153i | ||||
\(17\) | −0.504607 | − | 0.224665i | −0.122385 | − | 0.0544894i | 0.344631 | − | 0.938738i | \(-0.388004\pi\) |
−0.467016 | + | 0.884249i | \(0.654671\pi\) | |||||||
\(18\) | −0.394848 | − | 0.201185i | −0.0930666 | − | 0.0474198i | ||||
\(19\) | −2.03487 | + | 3.13343i | −0.466832 | + | 0.718858i | −0.991162 | − | 0.132657i | \(-0.957649\pi\) |
0.524330 | + | 0.851515i | \(0.324316\pi\) | |||||||
\(20\) | −3.65368 | − | 4.51192i | −0.816988 | − | 1.00890i | ||||
\(21\) | −0.668460 | − | 0.668460i | −0.145870 | − | 0.145870i | ||||
\(22\) | 0.577261 | − | 1.35165i | 0.123072 | − | 0.288173i | ||||
\(23\) | 2.82075 | + | 1.62856i | 0.588167 | + | 0.339578i | 0.764372 | − | 0.644775i | \(-0.223049\pi\) |
−0.176205 | + | 0.984353i | \(0.556382\pi\) | |||||||
\(24\) | −1.57361 | − | 0.604054i | −0.321212 | − | 0.123302i | ||||
\(25\) | 5.09921 | + | 1.65683i | 1.01984 | + | 0.331367i | ||||
\(26\) | −1.37176 | − | 0.819277i | −0.269025 | − | 0.160673i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −1.32507 | − | 1.07302i | −0.250414 | − | 0.202782i | ||||
\(29\) | −0.420983 | + | 1.98057i | −0.0781745 | + | 0.367782i | −0.999794 | − | 0.0203133i | \(-0.993534\pi\) |
0.921619 | + | 0.388096i | \(0.126867\pi\) | |||||||
\(30\) | 1.39530 | − | 0.296580i | 0.254746 | − | 0.0541479i | ||||
\(31\) | −0.932598 | − | 5.88819i | −0.167500 | − | 1.05755i | −0.917971 | − | 0.396648i | \(-0.870173\pi\) |
0.750471 | − | 0.660903i | \(-0.229827\pi\) | |||||||
\(32\) | −4.48061 | − | 1.20057i | −0.792067 | − | 0.212234i | ||||
\(33\) | −2.12628 | − | 2.54538i | −0.370138 | − | 0.443093i | ||||
\(34\) | 0.173084 | − | 0.173084i | 0.0296837 | − | 0.0296837i | ||||
\(35\) | 3.02635 | + | 0.318082i | 0.511546 | + | 0.0537657i | ||||
\(36\) | −1.34035 | + | 1.20686i | −0.223392 | + | 0.201143i | ||||
\(37\) | 4.62583 | − | 3.00405i | 0.760481 | − | 0.493862i | −0.105204 | − | 0.994451i | \(-0.533550\pi\) |
0.865685 | + | 0.500588i | \(0.166883\pi\) | |||||||
\(38\) | −0.973187 | − | 1.33948i | −0.157872 | − | 0.217292i | ||||
\(39\) | −3.05258 | + | 1.91878i | −0.488805 | + | 0.307251i | ||||
\(40\) | 5.16020 | − | 1.67665i | 0.815899 | − | 0.265102i | ||||
\(41\) | 10.3391 | + | 0.541850i | 1.61470 | + | 0.0846228i | 0.838152 | − | 0.545437i | \(-0.183636\pi\) |
0.776547 | + | 0.630060i | \(0.216970\pi\) | |||||||
\(42\) | 0.382710 | − | 0.170394i | 0.0590535 | − | 0.0262923i | ||||
\(43\) | 0.809084 | + | 1.40137i | 0.123384 | + | 0.213708i | 0.921100 | − | 0.389326i | \(-0.127292\pi\) |
−0.797716 | + | 0.603033i | \(0.793959\pi\) | |||||||
\(44\) | −4.29387 | − | 4.16487i | −0.647325 | − | 0.627878i | ||||
\(45\) | 0.833125 | − | 3.10927i | 0.124195 | − | 0.463502i | ||||
\(46\) | −1.12172 | + | 0.908354i | −0.165389 | + | 0.133929i | ||||
\(47\) | 3.44338 | + | 6.75802i | 0.502269 | + | 0.985758i | 0.993403 | + | 0.114674i | \(0.0365825\pi\) |
−0.491134 | + | 0.871084i | \(0.663418\pi\) | |||||||
\(48\) | −1.91390 | + | 2.12560i | −0.276248 | + | 0.306805i | ||||
\(49\) | −6.07287 | + | 0.638284i | −0.867553 | + | 0.0911835i | ||||
\(50\) | −1.49526 | + | 1.84650i | −0.211462 | + | 0.261134i | ||||
\(51\) | −0.170689 | − | 0.525326i | −0.0239012 | − | 0.0735604i | ||||
\(52\) | −5.11379 | + | 4.01730i | −0.709156 | + | 0.557099i | ||||
\(53\) | −4.56261 | − | 3.31493i | −0.626722 | − | 0.455340i | 0.228541 | − | 0.973534i | \(-0.426605\pi\) |
−0.855263 | + | 0.518194i | \(0.826605\pi\) | |||||||
\(54\) | −0.114695 | − | 0.428048i | −0.0156080 | − | 0.0582500i | ||||
\(55\) | 10.4754 | + | 2.06018i | 1.41250 | + | 0.277795i | ||||
\(56\) | 1.37996 | − | 0.796722i | 0.184405 | − | 0.106466i | ||||
\(57\) | −3.69019 | + | 0.584468i | −0.488777 | + | 0.0774147i | ||||
\(58\) | −0.752534 | − | 0.488701i | −0.0988125 | − | 0.0641696i | ||||
\(59\) | 0.275143 | + | 5.25004i | 0.0358206 | + | 0.683497i | 0.956243 | + | 0.292573i | \(0.0945113\pi\) |
−0.920423 | + | 0.390925i | \(0.872155\pi\) | |||||||
\(60\) | 0.908221 | − | 5.73428i | 0.117251 | − | 0.740292i | ||||
\(61\) | −1.94027 | + | 4.35791i | −0.248426 | + | 0.557974i | −0.994116 | − | 0.108319i | \(-0.965453\pi\) |
0.745690 | + | 0.666293i | \(0.232120\pi\) | |||||||
\(62\) | 2.58414 | + | 0.549275i | 0.328186 | + | 0.0697580i | ||||
\(63\) | 0.0494756 | − | 0.944050i | 0.00623334 | − | 0.118939i | ||||
\(64\) | −2.15420 | + | 2.96500i | −0.269275 | + | 0.370626i | ||||
\(65\) | 3.74935 | − | 10.9838i | 0.465050 | − | 1.36237i | ||||
\(66\) | 1.39073 | − | 0.475441i | 0.171188 | − | 0.0585228i | ||||
\(67\) | 10.5305 | − | 2.82164i | 1.28651 | − | 0.344719i | 0.450175 | − | 0.892940i | \(-0.351362\pi\) |
0.836333 | + | 0.548222i | \(0.184695\pi\) | |||||||
\(68\) | −0.405211 | − | 0.910119i | −0.0491390 | − | 0.110368i | ||||
\(69\) | 0.677194 | + | 3.18595i | 0.0815246 | + | 0.383543i | ||||
\(70\) | −0.612210 | + | 1.20153i | −0.0731731 | + | 0.143610i | ||||
\(71\) | −2.75905 | − | 7.18756i | −0.327439 | − | 0.853007i | −0.994181 | − | 0.107719i | \(-0.965645\pi\) |
0.666743 | − | 0.745288i | \(-0.267688\pi\) | |||||||
\(72\) | −0.604054 | − | 1.57361i | −0.0711884 | − | 0.185452i | ||||
\(73\) | −6.50791 | + | 12.7725i | −0.761693 | + | 1.49491i | 0.104133 | + | 0.994563i | \(0.466793\pi\) |
−0.865827 | + | 0.500344i | \(0.833207\pi\) | |||||||
\(74\) | 0.508190 | + | 2.39084i | 0.0590759 | + | 0.277930i | ||||
\(75\) | 2.18077 | + | 4.89809i | 0.251814 | + | 0.565583i | ||||
\(76\) | −6.50904 | + | 1.74409i | −0.746638 | + | 0.200061i | ||||
\(77\) | 3.13499 | − | 0.0478086i | 0.357266 | − | 0.00544829i | ||||
\(78\) | −0.309047 | − | 1.56762i | −0.0349927 | − | 0.177498i | ||||
\(79\) | 3.81016 | − | 5.24423i | 0.428676 | − | 0.590022i | −0.538973 | − | 0.842323i | \(-0.681187\pi\) |
0.967649 | + | 0.252301i | \(0.0811874\pi\) | |||||||
\(80\) | 0.481862 | − | 9.19448i | 0.0538739 | − | 1.02797i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −1.86613 | + | 4.19139i | −0.206079 | + | 0.462862i | ||||
\(83\) | −2.51986 | + | 15.9098i | −0.276591 | + | 1.74632i | 0.323350 | + | 0.946279i | \(0.395191\pi\) |
−0.599940 | + | 0.800045i | \(0.704809\pi\) | |||||||
\(84\) | −0.0892351 | − | 1.70271i | −0.00973635 | − | 0.185781i | ||||
\(85\) | 1.49117 | + | 0.968380i | 0.161741 | + | 0.105036i | ||||
\(86\) | −0.708260 | + | 0.112177i | −0.0763736 | + | 0.0120964i | ||||
\(87\) | −1.75354 | + | 1.01241i | −0.187999 | + | 0.108541i | ||||
\(88\) | 5.07182 | − | 2.35143i | 0.540657 | − | 0.250663i | ||||
\(89\) | 1.36141 | + | 5.08086i | 0.144310 | + | 0.538571i | 0.999785 | + | 0.0207274i | \(0.00659822\pi\) |
−0.855476 | + | 0.517843i | \(0.826735\pi\) | |||||||
\(90\) | 1.15404 | + | 0.838459i | 0.121646 | + | 0.0883813i | ||||
\(91\) | 0.406385 | − | 3.38418i | 0.0426008 | − | 0.354758i | ||||
\(92\) | 1.81535 | + | 5.58709i | 0.189264 | + | 0.582494i | ||||
\(93\) | 3.75175 | − | 4.63302i | 0.389038 | − | 0.480422i | ||||
\(94\) | −3.34274 | + | 0.351336i | −0.344777 | + | 0.0362375i | ||||
\(95\) | 8.04736 | − | 8.93750i | 0.825641 | − | 0.916968i | ||||
\(96\) | −2.10591 | − | 4.13308i | −0.214934 | − | 0.421831i | ||||
\(97\) | 7.99054 | − | 6.47061i | 0.811317 | − | 0.656991i | −0.131123 | − | 0.991366i | \(-0.541858\pi\) |
0.942440 | + | 0.334375i | \(0.108525\pi\) | |||||||
\(98\) | 0.700366 | − | 2.61380i | 0.0707477 | − | 0.264034i | ||||
\(99\) | 0.468824 | − | 3.28332i | 0.0471186 | − | 0.329986i | ||||
\(100\) | 4.83517 | + | 8.37476i | 0.483517 | + | 0.837476i | ||||
\(101\) | −7.41946 | + | 3.30336i | −0.738264 | + | 0.328696i | −0.741186 | − | 0.671299i | \(-0.765736\pi\) |
0.00292225 | + | 0.999996i | \(0.499070\pi\) | |||||||
\(102\) | 0.244442 | + | 0.0128107i | 0.0242034 | + | 0.00126845i | ||||
\(103\) | 15.7820 | − | 5.12789i | 1.55505 | − | 0.505266i | 0.599569 | − | 0.800323i | \(-0.295339\pi\) |
0.955480 | + | 0.295057i | \(0.0953387\pi\) | |||||||
\(104\) | −1.79232 | − | 5.80710i | −0.175752 | − | 0.569433i | ||||
\(105\) | 1.78864 | + | 2.46185i | 0.174554 | + | 0.240252i | ||||
\(106\) | 2.09602 | − | 1.36117i | 0.203584 | − | 0.132209i | ||||
\(107\) | 6.42527 | − | 5.78534i | 0.621154 | − | 0.559290i | −0.297316 | − | 0.954779i | \(-0.596092\pi\) |
0.918471 | + | 0.395489i | \(0.129425\pi\) | |||||||
\(108\) | −1.79374 | − | 0.188530i | −0.172603 | − | 0.0181413i | ||||
\(109\) | 0.431156 | − | 0.431156i | 0.0412972 | − | 0.0412972i | −0.686157 | − | 0.727454i | \(-0.740704\pi\) |
0.727454 | + | 0.686157i | \(0.240704\pi\) | |||||||
\(110\) | −2.51592 | + | 4.00664i | −0.239884 | + | 0.382018i | ||||
\(111\) | 5.32772 | + | 1.42756i | 0.505685 | + | 0.135498i | ||||
\(112\) | −0.422992 | − | 2.67067i | −0.0399690 | − | 0.252354i | ||||
\(113\) | 16.5672 | − | 3.52148i | 1.55852 | − | 0.331273i | 0.653592 | − | 0.756847i | \(-0.273261\pi\) |
0.904923 | + | 0.425575i | \(0.139928\pi\) | |||||||
\(114\) | 0.344236 | − | 1.61950i | 0.0322407 | − | 0.151680i | ||||
\(115\) | −8.14799 | − | 6.59812i | −0.759804 | − | 0.615277i | ||||
\(116\) | −2.95453 | + | 2.14659i | −0.274321 | + | 0.199306i | ||||
\(117\) | −3.46851 | − | 0.984597i | −0.320664 | − | 0.0910260i | ||||
\(118\) | −2.21572 | − | 0.719929i | −0.203973 | − | 0.0662749i | ||||
\(119\) | 0.487490 | + | 0.187130i | 0.0446881 | + | 0.0171542i | ||||
\(120\) | 4.69884 | + | 2.71288i | 0.428944 | + | 0.247651i | ||||
\(121\) | 10.9697 | + | 0.815694i | 0.997247 | + | 0.0741540i | ||||
\(122\) | −1.49480 | − | 1.49480i | −0.135333 | − | 0.135333i | ||||
\(123\) | 6.51555 | + | 8.04603i | 0.587487 | + | 0.725486i | ||||
\(124\) | 5.85620 | − | 9.01775i | 0.525902 | − | 0.809818i | ||||
\(125\) | −1.03719 | − | 0.528474i | −0.0927690 | − | 0.0472682i | ||||
\(126\) | 0.382710 | + | 0.170394i | 0.0340945 | + | 0.0151799i | ||||
\(127\) | −0.0370504 | − | 0.352511i | −0.00328769 | − | 0.0312803i | 0.992755 | − | 0.120156i | \(-0.0383394\pi\) |
−0.996043 | + | 0.0888754i | \(0.971673\pi\) | |||||||
\(128\) | −5.93735 | − | 9.14272i | −0.524793 | − | 0.808110i | ||||
\(129\) | −0.500041 | + | 1.53897i | −0.0440262 | + | 0.135499i | ||||
\(130\) | 3.94872 | + | 3.29550i | 0.346325 | + | 0.289034i | ||||
\(131\) | 6.52736i | 0.570298i | 0.958483 | + | 0.285149i | \(0.0920432\pi\) | ||||
−0.958483 | + | 0.285149i | \(0.907957\pi\) | |||||||
\(132\) | 0.221945 | − | 5.97781i | 0.0193178 | − | 0.520302i | ||||
\(133\) | 1.76599 | − | 3.05879i | 0.153131 | − | 0.265231i | ||||
\(134\) | −0.504998 | + | 4.80474i | −0.0436252 | + | 0.415066i | ||||
\(135\) | 2.86810 | − | 1.46137i | 0.246847 | − | 0.125775i | ||||
\(136\) | 0.929766 | − | 0.0487270i | 0.0797268 | − | 0.00417830i | ||||
\(137\) | −14.7532 | + | 5.66321i | −1.26045 | + | 0.483840i | −0.894614 | − | 0.446840i | \(-0.852549\pi\) |
−0.365833 | + | 0.930680i | \(0.619216\pi\) | |||||||
\(138\) | −1.42562 | − | 0.225796i | −0.121357 | − | 0.0192210i | ||||
\(139\) | −12.7839 | − | 11.5107i | −1.08432 | − | 0.976325i | −0.0845203 | − | 0.996422i | \(-0.526936\pi\) |
−0.999798 | + | 0.0200972i | \(0.993602\pi\) | |||||||
\(140\) | 3.67249 | + | 4.07871i | 0.310382 | + | 0.344714i | ||||
\(141\) | −2.71811 | + | 7.08093i | −0.228907 | + | 0.596322i | ||||
\(142\) | 3.41177 | 0.286309 | ||||||||
\(143\) | 2.48092 | − | 11.6981i | 0.207465 | − | 0.978243i | ||||
\(144\) | −2.86028 | −0.238357 | ||||||||
\(145\) | 2.33576 | − | 6.08487i | 0.193974 | − | 0.505321i | ||||
\(146\) | −4.25065 | − | 4.72082i | −0.351786 | − | 0.390698i | ||||
\(147\) | −4.53788 | − | 4.08593i | −0.374278 | − | 0.337002i | ||||
\(148\) | 9.82568 | + | 1.55624i | 0.807666 | + | 0.127922i | ||||
\(149\) | 0.158860 | − | 0.0609807i | 0.0130143 | − | 0.00499574i | −0.351852 | − | 0.936056i | \(-0.614448\pi\) |
0.364866 | + | 0.931060i | \(0.381115\pi\) | |||||||
\(150\) | −2.37274 | + | 0.124350i | −0.193733 | + | 0.0101531i | ||||
\(151\) | −10.2272 | + | 5.21103i | −0.832280 | + | 0.424068i | −0.817574 | − | 0.575824i | \(-0.804681\pi\) |
−0.0147064 | + | 0.999892i | \(0.504681\pi\) | |||||||
\(152\) | 0.658278 | − | 6.26309i | 0.0533934 | − | 0.508004i | ||||
\(153\) | 0.276180 | − | 0.478359i | 0.0223279 | − | 0.0386730i | ||||
\(154\) | −0.478090 | + | 1.30458i | −0.0385256 | + | 0.105126i | ||||
\(155\) | 19.1900i | 1.54138i | ||||||||
\(156\) | −6.40723 | − | 1.11219i | −0.512989 | − | 0.0890467i | ||||
\(157\) | −0.798357 | + | 2.45709i | −0.0637158 | + | 0.196097i | −0.977847 | − | 0.209322i | \(-0.932874\pi\) |
0.914131 | + | 0.405419i | \(0.132874\pi\) | |||||||
\(158\) | 1.56452 | + | 2.40915i | 0.124467 | + | 0.191662i | ||||
\(159\) | −0.589508 | − | 5.60880i | −0.0467511 | − | 0.444807i | ||||
\(160\) | 13.6407 | + | 6.07324i | 1.07839 | + | 0.480132i | ||||
\(161\) | −2.74350 | − | 1.39789i | −0.216218 | − | 0.110169i | ||||
\(162\) | 0.241356 | − | 0.371656i | 0.0189627 | − | 0.0292000i | ||||
\(163\) | 14.9293 | + | 18.4361i | 1.16935 | + | 1.44403i | 0.872168 | + | 0.489207i | \(0.162714\pi\) |
0.297183 | + | 0.954820i | \(0.403953\pi\) | |||||||
\(164\) | 13.2041 | + | 13.2041i | 1.03107 | + | 1.03107i | ||||
\(165\) | 5.47838 | + | 9.16326i | 0.426491 | + | 0.713358i | ||||
\(166\) | −6.18193 | − | 3.56914i | −0.479811 | − | 0.277019i | ||||
\(167\) | −11.6879 | − | 4.48658i | −0.904440 | − | 0.347182i | −0.138702 | − | 0.990334i | \(-0.544293\pi\) |
−0.765738 | + | 0.643152i | \(0.777626\pi\) | |||||||
\(168\) | 1.51546 | + | 0.492401i | 0.116920 | + | 0.0379896i | ||||
\(169\) | −12.2395 | − | 4.38117i | −0.941500 | − | 0.337013i | ||||
\(170\) | −0.637447 | + | 0.463132i | −0.0488899 | + | 0.0355206i | ||||
\(171\) | −2.90356 | − | 2.35126i | −0.222041 | − | 0.179805i | ||||
\(172\) | −0.606803 | + | 2.85478i | −0.0462683 | + | 0.217675i | ||||
\(173\) | −15.2561 | + | 3.24279i | −1.15990 | + | 0.246544i | −0.747376 | − | 0.664402i | \(-0.768686\pi\) |
−0.412525 | + | 0.910946i | \(0.635353\pi\) | |||||||
\(174\) | −0.140368 | − | 0.886246i | −0.0106412 | − | 0.0671862i | ||||
\(175\) | −4.89588 | − | 1.31185i | −0.370094 | − | 0.0991664i | ||||
\(176\) | −0.640880 | − | 9.46481i | −0.0483082 | − | 0.713437i | ||||
\(177\) | −3.71744 | + | 3.71744i | −0.279420 | + | 0.279420i | ||||
\(178\) | −2.31823 | − | 0.243656i | −0.173759 | − | 0.0182628i | ||||
\(179\) | −11.9224 | + | 10.7350i | −0.891122 | + | 0.802370i | −0.981085 | − | 0.193576i | \(-0.937992\pi\) |
0.0899637 | + | 0.995945i | \(0.471325\pi\) | |||||||
\(180\) | 4.86912 | − | 3.16204i | 0.362923 | − | 0.235685i | ||||
\(181\) | 1.36507 | + | 1.87885i | 0.101465 | + | 0.139654i | 0.856730 | − | 0.515765i | \(-0.172492\pi\) |
−0.755266 | + | 0.655419i | \(0.772492\pi\) | |||||||
\(182\) | 1.33555 | + | 0.705570i | 0.0989973 | + | 0.0523003i | ||||
\(183\) | −4.53685 | + | 1.47411i | −0.335374 | + | 0.108970i | ||||
\(184\) | −5.48258 | − | 0.287330i | −0.404181 | − | 0.0211822i | ||||
\(185\) | −16.2197 | + | 7.22146i | −1.19249 | + | 0.530932i | ||||
\(186\) | 1.32093 | + | 2.28793i | 0.0968556 | + | 0.167759i | ||||
\(187\) | 1.64479 | + | 0.806712i | 0.120279 | + | 0.0589926i | ||||
\(188\) | −3.54062 | + | 13.2138i | −0.258226 | + | 0.963714i | ||||
\(189\) | 0.734672 | − | 0.594925i | 0.0534395 | − | 0.0432745i | ||||
\(190\) | 2.41957 | + | 4.74868i | 0.175534 | + | 0.344505i | ||||
\(191\) | 12.2263 | − | 13.5787i | 0.884665 | − | 0.982520i | −0.115276 | − | 0.993333i | \(-0.536775\pi\) |
0.999942 | + | 0.0108133i | \(0.00344205\pi\) | |||||||
\(192\) | −3.64487 | + | 0.383091i | −0.263046 | + | 0.0276472i | ||||
\(193\) | −2.14350 | + | 2.64700i | −0.154292 | + | 0.190535i | −0.848431 | − | 0.529306i | \(-0.822452\pi\) |
0.694138 | + | 0.719842i | \(0.255786\pi\) | |||||||
\(194\) | 1.40801 | + | 4.33340i | 0.101089 | + | 0.311120i | ||||
\(195\) | 10.6713 | − | 4.56328i | 0.764191 | − | 0.326783i | ||||
\(196\) | −8.91009 | − | 6.47356i | −0.636435 | − | 0.462397i | ||||
\(197\) | −0.591815 | − | 2.20868i | −0.0421651 | − | 0.157362i | 0.941633 | − | 0.336640i | \(-0.109291\pi\) |
−0.983798 | + | 0.179278i | \(0.942624\pi\) | |||||||
\(198\) | 1.28390 | + | 0.715384i | 0.0912431 | + | 0.0508402i | ||||
\(199\) | −15.9882 | + | 9.23080i | −1.13337 | + | 0.654354i | −0.944781 | − | 0.327701i | \(-0.893726\pi\) |
−0.188593 | + | 0.982055i | \(0.560393\pi\) | |||||||
\(200\) | −8.92612 | + | 1.41376i | −0.631172 | + | 0.0999679i | ||||
\(201\) | 9.14318 | + | 5.93765i | 0.644910 | + | 0.418810i | ||||
\(202\) | −0.188361 | − | 3.59415i | −0.0132531 | − | 0.252883i | ||||
\(203\) | 0.299439 | − | 1.89058i | 0.0210165 | − | 0.132693i | ||||
\(204\) | 0.405211 | − | 0.910119i | 0.0283704 | − | 0.0637210i | ||||
\(205\) | −32.5985 | − | 6.92902i | −2.27678 | − | 0.483944i | ||||
\(206\) | −0.384863 | + | 7.34361i | −0.0268146 | + | 0.511654i | ||||
\(207\) | −1.91449 | + | 2.63507i | −0.133066 | + | 0.183150i | ||||
\(208\) | −10.2897 | − | 0.692008i | −0.713459 | − | 0.0479821i | ||||
\(209\) | 7.12985 | − | 10.1348i | 0.493182 | − | 0.701042i | ||||
\(210\) | −1.30256 | + | 0.349020i | −0.0898852 | + | 0.0240847i | ||||
\(211\) | −9.05521 | − | 20.3383i | −0.623386 | − | 1.40015i | −0.898601 | − | 0.438766i | \(-0.855416\pi\) |
0.275215 | − | 0.961383i | \(-0.411251\pi\) | |||||||
\(212\) | −2.11485 | − | 9.94958i | −0.145248 | − | 0.683340i | ||||
\(213\) | 3.49524 | − | 6.85979i | 0.239490 | − | 0.470025i | ||||
\(214\) | 1.37308 | + | 3.57700i | 0.0938619 | + | 0.244519i | ||||
\(215\) | −1.86667 | − | 4.86283i | −0.127306 | − | 0.331642i | ||||
\(216\) | 0.765232 | − | 1.50185i | 0.0520674 | − | 0.102188i | ||||
\(217\) | 1.17174 | + | 5.51261i | 0.0795430 | + | 0.374220i | ||||
\(218\) | 0.109903 | + | 0.246847i | 0.00744360 | + | 0.0167186i | ||||
\(219\) | −13.8465 | + | 3.71015i | −0.935657 | + | 0.250709i | ||||
\(220\) | 11.5543 | + | 15.4037i | 0.778993 | + | 1.03851i | ||||
\(221\) | 1.10927 | − | 1.65404i | 0.0746176 | − | 0.111263i | ||||
\(222\) | −1.43670 | + | 1.97745i | −0.0964249 | + | 0.132717i | ||||
\(223\) | 0.973996 | − | 18.5850i | 0.0652236 | − | 1.24454i | −0.748439 | − | 0.663204i | \(-0.769196\pi\) |
0.813663 | − | 0.581337i | \(-0.197470\pi\) | |||||||
\(224\) | 4.28932 | + | 0.911722i | 0.286592 | + | 0.0609170i | ||||
\(225\) | −2.18077 | + | 4.89809i | −0.145385 | + | 0.326539i | ||||
\(226\) | −1.17416 | + | 7.41336i | −0.0781040 | + | 0.493129i | ||||
\(227\) | −0.101860 | − | 1.94361i | −0.00676070 | − | 0.129002i | −0.999925 | − | 0.0122742i | \(-0.996093\pi\) |
0.993164 | − | 0.116728i | \(-0.0372404\pi\) | |||||||
\(228\) | −5.65151 | − | 3.67014i | −0.374281 | − | 0.243061i | ||||
\(229\) | 3.99513 | − | 0.632766i | 0.264005 | − | 0.0418144i | −0.0230283 | − | 0.999735i | \(-0.507331\pi\) |
0.287034 | + | 0.957920i | \(0.407331\pi\) | |||||||
\(230\) | 4.02372 | − | 2.32310i | 0.265316 | − | 0.153180i | ||||
\(231\) | 2.13325 | + | 2.29776i | 0.140357 | + | 0.151182i | ||||
\(232\) | −0.883340 | − | 3.29667i | −0.0579941 | − | 0.216437i | ||||
\(233\) | 15.5225 | + | 11.2777i | 1.01691 | + | 0.738828i | 0.965647 | − | 0.259857i | \(-0.0836754\pi\) |
0.0512627 | + | 0.998685i | \(0.483675\pi\) | |||||||
\(234\) | 0.958177 | − | 1.27861i | 0.0626380 | − | 0.0835853i | ||||
\(235\) | −7.54458 | − | 23.2198i | −0.492154 | − | 1.51469i | ||||
\(236\) | −5.96726 | + | 7.36896i | −0.388436 | + | 0.479678i | ||||
\(237\) | 6.44671 | − | 0.677577i | 0.418759 | − | 0.0440133i | ||||
\(238\) | −0.154837 | + | 0.171963i | −0.0100366 | + | 0.0111467i | ||||
\(239\) | −0.0853003 | − | 0.167411i | −0.00551762 | − | 0.0108289i | 0.888231 | − | 0.459397i | \(-0.151934\pi\) |
−0.893749 | + | 0.448568i | \(0.851934\pi\) | |||||||
\(240\) | 7.15526 | − | 5.79422i | 0.461870 | − | 0.374015i | ||||
\(241\) | −6.49089 | + | 24.2243i | −0.418115 | + | 1.56043i | 0.360399 | + | 0.932798i | \(0.382641\pi\) |
−0.778514 | + | 0.627628i | \(0.784026\pi\) | |||||||
\(242\) | −2.07957 | + | 4.40879i | −0.133680 | + | 0.283408i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −7.86002 | + | 3.49951i | −0.503186 | + | 0.224033i | ||||
\(245\) | 19.6290 | + | 1.02871i | 1.25405 | + | 0.0657220i | ||||
\(246\) | −4.36350 | + | 1.41779i | −0.278206 | + | 0.0903947i | ||||
\(247\) | −9.87649 | − | 9.16095i | −0.628426 | − | 0.582897i | ||||
\(248\) | 5.90646 | + | 8.12954i | 0.375060 | + | 0.516226i | ||||
\(249\) | −13.5094 | + | 8.77309i | −0.856122 | + | 0.555972i | ||||
\(250\) | 0.383354 | − | 0.345173i | 0.0242454 | − | 0.0218307i | ||||
\(251\) | −3.21093 | − | 0.337482i | −0.202672 | − | 0.0213017i | 0.00264844 | − | 0.999996i | \(-0.499157\pi\) |
−0.205320 | + | 0.978695i | \(0.565824\pi\) | |||||||
\(252\) | 1.20565 | − | 1.20565i | 0.0759487 | − | 0.0759487i | ||||
\(253\) | −9.14853 | − | 5.74472i | −0.575163 | − | 0.361167i | ||||
\(254\) | 0.151723 | + | 0.0406541i | 0.00951995 | + | 0.00255086i | ||||
\(255\) | 0.278144 | + | 1.75613i | 0.0174180 | + | 0.109973i | ||||
\(256\) | −2.44433 | + | 0.519558i | −0.152771 | + | 0.0324724i | ||||
\(257\) | −1.03278 | + | 4.85886i | −0.0644232 | + | 0.303087i | −0.998549 | − | 0.0538576i | \(-0.982848\pi\) |
0.934125 | + | 0.356945i | \(0.116182\pi\) | |||||||
\(258\) | −0.557282 | − | 0.451278i | −0.0346949 | − | 0.0280954i | ||||
\(259\) | −4.21838 | + | 3.06484i | −0.262118 | + | 0.190440i | ||||
\(260\) | 18.2813 | − | 10.1972i | 1.13376 | − | 0.632403i | ||||
\(261\) | −1.92571 | − | 0.625702i | −0.119199 | − | 0.0387300i | ||||
\(262\) | −2.70047 | − | 1.03661i | −0.166835 | − | 0.0640421i | ||||
\(263\) | 10.8750 | + | 6.27870i | 0.670583 | + | 0.387161i | 0.796297 | − | 0.604905i | \(-0.206789\pi\) |
−0.125715 | + | 0.992066i | \(0.540122\pi\) | |||||||
\(264\) | 5.14116 | + | 2.19568i | 0.316416 | + | 0.135135i | ||||
\(265\) | 12.8367 | + | 12.8367i | 0.788554 | + | 0.788554i | ||||
\(266\) | 0.985009 | + | 1.21638i | 0.0603948 | + | 0.0745813i | ||||
\(267\) | −2.86485 | + | 4.41149i | −0.175326 | + | 0.269979i | ||||
\(268\) | 17.5199 | + | 8.92684i | 1.07020 | + | 0.545293i | ||||
\(269\) | 14.6148 | + | 6.50691i | 0.891078 | + | 0.396734i | 0.800624 | − | 0.599167i | \(-0.204501\pi\) |
0.0904542 | + | 0.995901i | \(0.471168\pi\) | |||||||
\(270\) | 0.149107 | + | 1.41866i | 0.00907436 | + | 0.0863367i | ||||
\(271\) | −14.5646 | − | 22.4276i | −0.884738 | − | 1.36238i | −0.931603 | − | 0.363476i | \(-0.881590\pi\) |
0.0468653 | − | 0.998901i | \(-0.485077\pi\) | |||||||
\(272\) | 0.488218 | − | 1.50258i | 0.0296026 | − | 0.0911074i | ||||
\(273\) | 2.78686 | − | 1.96245i | 0.168668 | − | 0.118773i | ||||
\(274\) | − | 7.00297i | − | 0.423065i | ||||||
\(275\) | −16.6966 | − | 6.11880i | −1.00685 | − | 0.368977i | ||||
\(276\) | −2.93730 | + | 5.08756i | −0.176805 | + | 0.306235i | ||||
\(277\) | −0.397547 | + | 3.78241i | −0.0238863 | + | 0.227263i | 0.976066 | + | 0.217475i | \(0.0697822\pi\) |
−0.999952 | + | 0.00978752i | \(0.996884\pi\) | |||||||
\(278\) | 6.79236 | − | 3.46088i | 0.407379 | − | 0.207570i | ||||
\(279\) | 5.95342 | − | 0.312005i | 0.356422 | − | 0.0186793i | ||||
\(280\) | −4.78853 | + | 1.83815i | −0.286170 | + | 0.109850i | ||||
\(281\) | 7.78392 | + | 1.23285i | 0.464350 | + | 0.0735458i | 0.384226 | − | 0.923239i | \(-0.374468\pi\) |
0.0801241 | + | 0.996785i | \(0.474468\pi\) | |||||||
\(282\) | −2.49782 | − | 2.24905i | −0.148743 | − | 0.133929i | ||||
\(283\) | −6.51506 | − | 7.23571i | −0.387280 | − | 0.430118i | 0.517706 | − | 0.855558i | \(-0.326786\pi\) |
−0.904987 | + | 0.425440i | \(0.860119\pi\) | |||||||
\(284\) | 4.97627 | − | 12.9636i | 0.295287 | − | 0.769250i | ||||
\(285\) | 12.0266 | 0.712394 | ||||||||
\(286\) | 4.44567 | + | 2.88417i | 0.262878 | + | 0.170544i | ||||
\(287\) | −9.78745 | −0.577735 | ||||||||
\(288\) | 1.66235 | − | 4.33057i | 0.0979549 | − | 0.255181i | ||||
\(289\) | −11.1711 | − | 12.4067i | −0.657122 | − | 0.729807i | ||||
\(290\) | 2.14646 | + | 1.93268i | 0.126044 | + | 0.113491i | ||||
\(291\) | 10.1553 | + | 1.60844i | 0.595315 | + | 0.0942887i | ||||
\(292\) | −24.1375 | + | 9.26550i | −1.41254 | + | 0.542223i | ||||
\(293\) | 28.1731 | − | 1.47649i | 1.64589 | − | 0.0862575i | 0.793298 | − | 0.608833i | \(-0.208362\pi\) |
0.852593 | + | 0.522576i | \(0.175029\pi\) | |||||||
\(294\) | 2.41107 | − | 1.22850i | 0.140616 | − | 0.0716476i | ||||
\(295\) | 1.76892 | − | 16.8301i | 0.102990 | − | 0.979886i | ||||
\(296\) | −4.64851 | + | 8.05146i | −0.270189 | + | 0.467982i | ||||
\(297\) | 2.75369 | − | 1.84857i | 0.159785 | − | 0.107265i | ||||
\(298\) | 0.0754072i | 0.00436822i | ||||||||
\(299\) | −7.52475 | + | 9.01627i | −0.435168 | + | 0.521424i | ||||
\(300\) | −2.98830 | + | 9.19704i | −0.172530 | + | 0.530991i | ||||
\(301\) | −0.833150 | − | 1.28294i | −0.0480219 | − | 0.0739473i | ||||
\(302\) | −0.531693 | − | 5.05872i | −0.0305955 | − | 0.291097i | ||||
\(303\) | −7.41946 | − | 3.30336i | −0.426237 | − | 0.189773i | ||||
\(304\) | −9.52178 | − | 4.85159i | −0.546112 | − | 0.278258i | ||||
\(305\) | 8.36318 | − | 12.8782i | 0.478874 | − | 0.737401i | ||||
\(306\) | 0.154044 | + | 0.190228i | 0.00880609 | + | 0.0108746i | ||||
\(307\) | −8.12570 | − | 8.12570i | −0.463758 | − | 0.463758i | 0.436127 | − | 0.899885i | \(-0.356350\pi\) |
−0.899885 | + | 0.436127i | \(0.856350\pi\) | |||||||
\(308\) | 4.25969 | + | 3.71941i | 0.242718 | + | 0.211933i | ||||
\(309\) | 14.3710 | + | 8.29710i | 0.817537 | + | 0.472005i | ||||
\(310\) | −7.93920 | − | 3.04757i | −0.450916 | − | 0.173091i | ||||
\(311\) | −8.14431 | − | 2.64625i | −0.461821 | − | 0.150055i | 0.0688599 | − | 0.997626i | \(-0.478064\pi\) |
−0.530681 | + | 0.847571i | \(0.678064\pi\) | |||||||
\(312\) | 3.11622 | − | 5.21766i | 0.176421 | − | 0.295392i | ||||
\(313\) | −2.33371 | + | 1.69554i | −0.131909 | + | 0.0958376i | −0.651783 | − | 0.758405i | \(-0.725979\pi\) |
0.519874 | + | 0.854243i | \(0.325979\pi\) | |||||||
\(314\) | −0.889747 | − | 0.720503i | −0.0502113 | − | 0.0406603i | ||||
\(315\) | −0.632679 | + | 2.97652i | −0.0356474 | + | 0.167708i | ||||
\(316\) | 11.4360 | − | 2.43079i | 0.643324 | − | 0.136743i | ||||
\(317\) | 0.823453 | + | 5.19908i | 0.0462497 | + | 0.292009i | 0.999962 | − | 0.00871115i | \(-0.00277288\pi\) |
−0.953712 | + | 0.300720i | \(0.902773\pi\) | |||||||
\(318\) | 2.41406 | + | 0.646846i | 0.135374 | + | 0.0362733i | ||||
\(319\) | 1.63900 | − | 6.51247i | 0.0917664 | − | 0.364629i | ||||
\(320\) | 8.34193 | − | 8.34193i | 0.466328 | − | 0.466328i | ||||
\(321\) | 8.59869 | + | 0.903759i | 0.479932 | + | 0.0504429i | ||||
\(322\) | 1.01402 | − | 0.913030i | 0.0565092 | − | 0.0508811i | ||||
\(323\) | 1.73078 | − | 1.12398i | 0.0963034 | − | 0.0625401i | ||||
\(324\) | −1.06014 | − | 1.45916i | −0.0588967 | − | 0.0810644i | ||||
\(325\) | −9.03019 | + | 17.0929i | −0.500905 | + | 0.948144i | ||||
\(326\) | −9.99821 | + | 3.24862i | −0.553750 | + | 0.179924i | ||||
\(327\) | 0.608910 | + | 0.0319116i | 0.0336728 | + | 0.00176472i | ||||
\(328\) | −15.9425 | + | 7.09804i | −0.880275 | + | 0.391924i | ||||
\(329\) | −3.58508 | − | 6.20955i | −0.197652 | − | 0.342343i | ||||
\(330\) | −4.66100 | + | 0.811269i | −0.256579 | + | 0.0446589i | ||||
\(331\) | −2.95142 | + | 11.0149i | −0.162225 | + | 0.605432i | 0.836153 | + | 0.548496i | \(0.184800\pi\) |
−0.998378 | + | 0.0569353i | \(0.981867\pi\) | |||||||
\(332\) | −22.5783 | + | 18.2836i | −1.23915 | + | 1.00344i | ||||
\(333\) | 2.50406 | + | 4.91449i | 0.137222 | + | 0.269313i | ||||
\(334\) | 3.71233 | − | 4.12296i | 0.203130 | − | 0.225598i | ||||
\(335\) | −34.9007 | + | 3.66821i | −1.90683 | + | 0.200416i | ||||
\(336\) | 1.70165 | − | 2.10137i | 0.0928329 | − | 0.114639i | ||||
\(337\) | 6.60565 | + | 20.3301i | 0.359832 | + | 1.10745i | 0.953154 | + | 0.302485i | \(0.0978162\pi\) |
−0.593322 | + | 0.804965i | \(0.702184\pi\) | |||||||
\(338\) | 3.75631 | − | 4.36788i | 0.204317 | − | 0.237582i | ||||
\(339\) | 13.7026 | + | 9.95553i | 0.744224 | + | 0.540710i | ||||
\(340\) | 0.830000 | + | 3.09760i | 0.0450131 | + | 0.167991i | ||||
\(341\) | 2.36637 | + | 19.6302i | 0.128146 | + | 1.06304i | ||||
\(342\) | 1.43386 | − | 0.827842i | 0.0775345 | − | 0.0447646i | ||||
\(343\) | 12.2375 | − | 1.93822i | 0.660761 | − | 0.104654i | ||||
\(344\) | −2.28750 | − | 1.48552i | −0.123334 | − | 0.0800939i | ||||
\(345\) | −0.548717 | − | 10.4701i | −0.0295419 | − | 0.563693i | ||||
\(346\) | 1.08124 | − | 6.82666i | 0.0581277 | − | 0.367004i | ||||
\(347\) | −7.92627 | + | 17.8027i | −0.425504 | + | 0.955698i | 0.565853 | + | 0.824506i | \(0.308547\pi\) |
−0.991357 | + | 0.131192i | \(0.958120\pi\) | |||||||
\(348\) | −3.57219 | − | 0.759293i | −0.191490 | − | 0.0407024i | ||||
\(349\) | −0.288812 | + | 5.51086i | −0.0154598 | + | 0.294990i | 0.979947 | + | 0.199257i | \(0.0638528\pi\) |
−0.995407 | + | 0.0957329i | \(0.969481\pi\) | |||||||
\(350\) | 1.32025 | − | 1.81716i | 0.0705702 | − | 0.0971315i | ||||
\(351\) | −1.58919 | − | 3.23643i | −0.0848246 | − | 0.172748i | ||||
\(352\) | 14.7025 | + | 4.53048i | 0.783647 | + | 0.241475i | ||||
\(353\) | 0.561941 | − | 0.150572i | 0.0299091 | − | 0.00801411i | −0.243833 | − | 0.969817i | \(-0.578405\pi\) |
0.273743 | + | 0.961803i | \(0.411738\pi\) | |||||||
\(354\) | −0.947591 | − | 2.12832i | −0.0503639 | − | 0.113119i | ||||
\(355\) | 5.15256 | + | 24.2409i | 0.273469 | + | 1.28657i | ||||
\(356\) | −4.30711 | + | 8.45317i | −0.228276 | + | 0.448017i | ||||
\(357\) | 0.187130 | + | 0.487490i | 0.00990395 | + | 0.0258007i | ||||
\(358\) | −2.54782 | − | 6.63729i | −0.134656 | − | 0.350792i | ||||
\(359\) | 9.49837 | − | 18.6416i | 0.501305 | − | 0.983866i | −0.492244 | − | 0.870457i | \(-0.663823\pi\) |
0.993548 | − | 0.113409i | \(-0.0361769\pi\) | |||||||
\(360\) | 1.12808 | + | 5.30719i | 0.0594549 | + | 0.279713i | ||||
\(361\) | 2.05033 | + | 4.60511i | 0.107912 | + | 0.242374i | ||||
\(362\) | −0.994096 | + | 0.266367i | −0.0522485 | + | 0.0140000i | ||||
\(363\) | 6.73399 | + | 8.69789i | 0.353443 | + | 0.456521i | ||||
\(364\) | 4.62892 | − | 4.04554i | 0.242621 | − | 0.212044i | ||||
\(365\) | 27.1224 | − | 37.3307i | 1.41965 | − | 1.95398i | ||||
\(366\) | 0.110636 | − | 2.11107i | 0.00578305 | − | 0.110347i | ||||
\(367\) | −26.4502 | − | 5.62215i | −1.38069 | − | 0.293474i | −0.543049 | − | 0.839701i | \(-0.682730\pi\) |
−0.837637 | + | 0.546227i | \(0.816064\pi\) | |||||||
\(368\) | −3.78928 | + | 8.51085i | −0.197530 | + | 0.443659i | ||||
\(369\) | −1.61961 | + | 10.2258i | −0.0843137 | + | 0.532336i | ||||
\(370\) | −0.411776 | − | 7.85716i | −0.0214072 | − | 0.408474i | ||||
\(371\) | 4.47134 | + | 2.90372i | 0.232140 | + | 0.150754i | ||||
\(372\) | 10.6201 | − | 1.68205i | 0.550624 | − | 0.0872103i | ||||
\(373\) | 16.6807 | − | 9.63061i | 0.863694 | − | 0.498654i | −0.00155359 | − | 0.999999i | \(-0.500495\pi\) |
0.865248 | + | 0.501345i | \(0.167161\pi\) | |||||||
\(374\) | −0.594959 | + | 0.552361i | −0.0307646 | + | 0.0285619i | ||||
\(375\) | −0.301282 | − | 1.12440i | −0.0155581 | − | 0.0580637i | ||||
\(376\) | −10.3429 | − | 7.51456i | −0.533394 | − | 0.387534i | ||||
\(377\) | −6.77623 | − | 2.71682i | −0.348994 | − | 0.139923i | ||||
\(378\) | 0.129456 | + | 0.398425i | 0.00665850 | + | 0.0204928i | ||||
\(379\) | 14.2243 | − | 17.5655i | 0.730653 | − | 0.902282i | −0.267467 | − | 0.963567i | \(-0.586187\pi\) |
0.998120 | + | 0.0612854i | \(0.0195200\pi\) | |||||||
\(380\) | 21.5726 | − | 2.26737i | 1.10665 | − | 0.116313i | ||||
\(381\) | 0.237175 | − | 0.263410i | 0.0121509 | − | 0.0134949i | ||||
\(382\) | 3.67604 | + | 7.21464i | 0.188083 | + | 0.369133i | ||||
\(383\) | 25.7510 | − | 20.8527i | 1.31581 | − | 1.06552i | 0.322930 | − | 0.946423i | \(-0.395332\pi\) |
0.992882 | − | 0.119101i | \(-0.0380013\pi\) | |||||||
\(384\) | 2.82150 | − | 10.5300i | 0.143984 | − | 0.537356i | ||||
\(385\) | −9.99121 | − | 1.42664i | −0.509199 | − | 0.0727083i | ||||
\(386\) | −0.754693 | − | 1.30717i | −0.0384129 | − | 0.0665331i | ||||
\(387\) | −1.47827 | + | 0.658168i | −0.0751447 | + | 0.0334566i | ||||
\(388\) | 18.5192 | + | 0.970552i | 0.940172 | + | 0.0492723i | ||||
\(389\) | 1.56959 | − | 0.509991i | 0.0795814 | − | 0.0258576i | −0.268956 | − | 0.963153i | \(-0.586679\pi\) |
0.348537 | + | 0.937295i | \(0.386679\pi\) | |||||||
\(390\) | 0.193175 | + | 5.13959i | 0.00978180 | + | 0.260253i | ||||
\(391\) | −1.05749 | − | 1.45551i | −0.0534795 | − | 0.0736082i | ||||
\(392\) | 8.63212 | − | 5.60576i | 0.435988 | − | 0.283134i | ||||
\(393\) | −4.85078 | + | 4.36766i | −0.244689 | + | 0.220319i | ||||
\(394\) | 1.00775 | + | 0.105919i | 0.0507698 | + | 0.00533612i | ||||
\(395\) | −14.7544 | + | 14.7544i | −0.742377 | + | 0.742377i | ||||
\(396\) | 4.59089 | − | 3.83500i | 0.230701 | − | 0.192716i | ||||
\(397\) | 25.6347 | + | 6.86879i | 1.28657 | + | 0.344735i | 0.836356 | − | 0.548187i | \(-0.184682\pi\) |
0.450212 | + | 0.892922i | \(0.351348\pi\) | |||||||
\(398\) | −1.27983 | − | 8.08051i | −0.0641519 | − | 0.405039i | ||||
\(399\) | 3.45480 | − | 0.734341i | 0.172957 | − | 0.0367630i | ||||
\(400\) | −3.18849 | + | 15.0006i | −0.159424 | + | 0.750032i | ||||
\(401\) | −6.54493 | − | 5.29998i | −0.326838 | − | 0.264668i | 0.451830 | − | 0.892104i | \(-0.350771\pi\) |
−0.778669 | + | 0.627436i | \(0.784105\pi\) | |||||||
\(402\) | −3.90852 | + | 2.83971i | −0.194939 | + | 0.141632i | ||||
\(403\) | 21.4925 | + | 0.317937i | 1.07062 | + | 0.0158375i | ||||
\(404\) | −13.9314 | − | 4.52657i | −0.693111 | − | 0.225205i | ||||
\(405\) | 3.00515 | + | 1.15357i | 0.149327 | + | 0.0573213i | ||||
\(406\) | 0.734608 | + | 0.424126i | 0.0364580 | + | 0.0210490i | ||||
\(407\) | −15.7012 | + | 9.38720i | −0.778281 | + | 0.465306i | ||||
\(408\) | 0.658346 | + | 0.658346i | 0.0325930 | + | 0.0325930i | ||||
\(409\) | 9.66020 | + | 11.9293i | 0.477666 | + | 0.589868i | 0.957839 | − | 0.287305i | \(-0.0927595\pi\) |
−0.480173 | + | 0.877174i | \(0.659426\pi\) | |||||||
\(410\) | 8.04361 | − | 12.3861i | 0.397246 | − | 0.611705i | ||||
\(411\) | −14.0804 | − | 7.17431i | −0.694534 | − | 0.353883i | ||||
\(412\) | 27.3421 | + | 12.1735i | 1.34705 | + | 0.599744i | ||||
\(413\) | −0.519498 | − | 4.94269i | −0.0255628 | − | 0.243214i | ||||
\(414\) | −0.786126 | − | 1.21053i | −0.0386360 | − | 0.0594942i | ||||
\(415\) | 16.0229 | − | 49.3133i | 0.786532 | − | 2.42070i | ||||
\(416\) | 7.02790 | − | 15.1767i | 0.344571 | − | 0.744099i | ||||
\(417\) | − | 17.2025i | − | 0.842408i | ||||||
\(418\) | 3.06064 | + | 4.55924i | 0.149701 | + | 0.223000i | ||||
\(419\) | 2.04543 | − | 3.54278i | 0.0999257 | − | 0.173076i | −0.811728 | − | 0.584036i | \(-0.801473\pi\) |
0.911654 | + | 0.410959i | \(0.134806\pi\) | |||||||
\(420\) | −0.573699 | + | 5.45838i | −0.0279936 | + | 0.266342i | ||||
\(421\) | −30.6657 | + | 15.6250i | −1.49455 | + | 0.761514i | −0.994525 | − | 0.104495i | \(-0.966677\pi\) |
−0.500029 | + | 0.866009i | \(0.666677\pi\) | |||||||
\(422\) | 9.85233 | − | 0.516338i | 0.479604 | − | 0.0251350i | ||||
\(423\) | −7.08093 | + | 2.71811i | −0.344287 | + | 0.132159i | ||||
\(424\) | 9.38905 | + | 1.48708i | 0.455973 | + | 0.0722190i | ||||
\(425\) | −2.20086 | − | 1.98167i | −0.106758 | − | 0.0961249i | ||||
\(426\) | 2.28292 | + | 2.53544i | 0.110608 | + | 0.122842i | ||||
\(427\) | 1.61610 | − | 4.21009i | 0.0782086 | − | 0.203740i | ||||
\(428\) | 15.5942 | 0.753774 | ||||||||
\(429\) | 10.3534 | − | 5.98386i | 0.499868 | − | 0.288904i | ||||
\(430\) | 2.30827 | 0.111315 | ||||||||
\(431\) | 13.7380 | − | 35.7887i | 0.661736 | − | 1.72388i | −0.0277841 | − | 0.999614i | \(-0.508845\pi\) |
0.689520 | − | 0.724267i | \(-0.257822\pi\) | |||||||
\(432\) | −1.91390 | − | 2.12560i | −0.0920827 | − | 0.102268i | ||||
\(433\) | 13.3492 | + | 12.0197i | 0.641524 | + | 0.577631i | 0.924352 | − | 0.381540i | \(-0.124606\pi\) |
−0.282829 | + | 0.959170i | \(0.591273\pi\) | |||||||
\(434\) | −2.46673 | − | 0.390692i | −0.118407 | − | 0.0187538i | ||||
\(435\) | 6.08487 | − | 2.33576i | 0.291747 | − | 0.111991i | ||||
\(436\) | 1.09824 | − | 0.0575565i | 0.0525963 | − | 0.00275645i | ||||
\(437\) | −10.8428 | + | 5.52471i | −0.518684 | + | 0.264283i | ||||
\(438\) | 0.664016 | − | 6.31769i | 0.0317279 | − | 0.301871i | ||||
\(439\) | 15.8565 | − | 27.4642i | 0.756788 | − | 1.31079i | −0.187693 | − | 0.982228i | \(-0.560101\pi\) |
0.944481 | − | 0.328567i | \(-0.106566\pi\) | |||||||
\(440\) | −17.3090 | + | 4.92200i | −0.825174 | + | 0.234647i | ||||
\(441\) | − | 6.10632i | − | 0.290777i | ||||||
\(442\) | 0.508137 | + | 0.721600i | 0.0241696 | + | 0.0343230i | ||||
\(443\) | −0.0335380 | + | 0.103219i | −0.00159344 | + | 0.00490410i | −0.951850 | − | 0.306564i | \(-0.900821\pi\) |
0.950257 | + | 0.311468i | \(0.100821\pi\) | |||||||
\(444\) | 5.41816 | + | 8.34323i | 0.257134 | + | 0.395952i | ||||
\(445\) | −1.76987 | − | 16.8392i | −0.0839001 | − | 0.798256i | ||||
\(446\) | 7.53419 | + | 3.35444i | 0.356754 | + | 0.158837i | ||||
\(447\) | 0.151616 | + | 0.0772521i | 0.00717118 | + | 0.00365390i | ||||
\(448\) | 1.88698 | − | 2.90569i | 0.0891514 | − | 0.137281i | ||||
\(449\) | 13.2424 | + | 16.3530i | 0.624947 | + | 0.771746i | 0.987054 | − | 0.160391i | \(-0.0512756\pi\) |
−0.362106 | + | 0.932137i | \(0.617942\pi\) | |||||||
\(450\) | −1.68008 | − | 1.68008i | −0.0791999 | − | 0.0791999i | ||||
\(451\) | −34.2007 | − | 3.06816i | −1.61045 | − | 0.144474i | ||||
\(452\) | 26.4558 | + | 15.2743i | 1.24438 | + | 0.718442i | ||||
\(453\) | −10.7159 | − | 4.11345i | −0.503477 | − | 0.193267i | ||||
\(454\) | 0.820275 | + | 0.266524i | 0.0384974 | + | 0.0125086i | ||||
\(455\) | −2.99615 | + | 10.5547i | −0.140462 | + | 0.494814i | ||||
\(456\) | 5.09486 | − | 3.70163i | 0.238589 | − | 0.173345i | ||||
\(457\) | 8.01815 | + | 6.49297i | 0.375073 | + | 0.303728i | 0.798259 | − | 0.602315i | \(-0.205755\pi\) |
−0.423185 | + | 0.906043i | \(0.639088\pi\) | |||||||
\(458\) | −0.372682 | + | 1.75333i | −0.0174143 | + | 0.0819279i | ||||
\(459\) | 0.540290 | − | 0.114842i | 0.0252186 | − | 0.00536038i | ||||
\(460\) | −2.95819 | − | 18.6773i | −0.137926 | − | 0.870831i | ||||
\(461\) | −18.2650 | − | 4.89410i | −0.850687 | − | 0.227941i | −0.192968 | − | 0.981205i | \(-0.561812\pi\) |
−0.657718 | + | 0.753264i | \(0.728478\pi\) | |||||||
\(462\) | −1.28940 | + | 0.517648i | −0.0599883 | + | 0.0240832i | ||||
\(463\) | −2.38972 | + | 2.38972i | −0.111060 | + | 0.111060i | −0.760453 | − | 0.649393i | \(-0.775023\pi\) |
0.649393 | + | 0.760453i | \(0.275023\pi\) | |||||||
\(464\) | −5.75982 | − | 0.605381i | −0.267393 | − | 0.0281041i | ||||
\(465\) | −14.2610 | + | 12.8406i | −0.661337 | + | 0.595471i | ||||
\(466\) | −7.13088 | + | 4.63085i | −0.330332 | + | 0.214520i | ||||
\(467\) | −5.64960 | − | 7.77600i | −0.261432 | − | 0.359830i | 0.658042 | − | 0.752981i | \(-0.271385\pi\) |
−0.919474 | + | 0.393151i | \(0.871385\pi\) | |||||||
\(468\) | −3.46075 | − | 5.50570i | −0.159973 | − | 0.254501i | ||||
\(469\) | −9.80174 | + | 3.18478i | −0.452602 | + | 0.147059i | ||||
\(470\) | 10.8045 | + | 0.566242i | 0.498376 | + | 0.0261188i | ||||
\(471\) | −2.36018 | + | 1.05082i | −0.108751 | + | 0.0484192i | ||||
\(472\) | −4.43072 | − | 7.67424i | −0.203941 | − | 0.353235i | ||||
\(473\) | −2.50913 | − | 4.74419i | −0.115370 | − | 0.218138i | ||||
\(474\) | −0.743480 | + | 2.77471i | −0.0341492 | + | 0.127446i | ||||
\(475\) | −15.5678 | + | 12.6066i | −0.714300 | + | 0.578429i | ||||
\(476\) | 0.427568 | + | 0.839150i | 0.0195976 | + | 0.0384624i | ||||
\(477\) | 3.77369 | − | 4.19111i | 0.172785 | − | 0.191898i | ||||
\(478\) | 0.0828071 | − | 0.00870337i | 0.00378751 | − | 0.000398083i | ||||
\(479\) | −20.2152 | + | 24.9637i | −0.923655 | + | 1.14062i | 0.0660956 | + | 0.997813i | \(0.478946\pi\) |
−0.989751 | + | 0.142806i | \(0.954388\pi\) | |||||||
\(480\) | 4.61413 | + | 14.2008i | 0.210605 | + | 0.648176i | ||||
\(481\) | 7.81917 | + | 18.2853i | 0.356523 | + | 0.833740i | ||||
\(482\) | −8.99114 | − | 6.53244i | −0.409535 | − | 0.297545i | ||||
\(483\) | −0.796931 | − | 2.97419i | −0.0362616 | − | 0.135330i | ||||
\(484\) | 13.7188 | + | 14.3322i | 0.623583 | + | 0.651463i | ||||
\(485\) | −28.6628 | + | 16.5485i | −1.30151 | + | 0.751427i | ||||
\(486\) | 0.437693 | − | 0.0693237i | 0.0198541 | − | 0.00314459i | ||||
\(487\) | −0.831011 | − | 0.539665i | −0.0376567 | − | 0.0244546i | 0.525673 | − | 0.850686i | \(-0.323813\pi\) |
−0.563330 | + | 0.826232i | \(0.690480\pi\) | |||||||
\(488\) | −0.420819 | − | 8.02970i | −0.0190496 | − | 0.363487i | ||||
\(489\) | −3.71107 | + | 23.4308i | −0.167820 | + | 1.05958i | ||||
\(490\) | −3.54288 | + | 7.95743i | −0.160051 | + | 0.359480i | ||||
\(491\) | 28.8992 | + | 6.14272i | 1.30420 | + | 0.277217i | 0.807069 | − | 0.590457i | \(-0.201052\pi\) |
0.497134 | + | 0.867674i | \(0.334386\pi\) | |||||||
\(492\) | −0.977292 | + | 18.6478i | −0.0440597 | + | 0.840709i | ||||
\(493\) | 0.657396 | − | 0.904828i | 0.0296076 | − | 0.0407514i | ||||
\(494\) | 5.35851 | − | 2.63120i | 0.241091 | − | 0.118383i | ||||
\(495\) | −3.14387 | + | 10.2026i | −0.141307 | + | 0.458575i | ||||
\(496\) | 16.4708 | − | 4.41334i | 0.739561 | − | 0.198165i | ||||
\(497\) | 2.96029 | + | 6.64891i | 0.132787 | + | 0.298245i | ||||
\(498\) | −1.48413 | − | 6.98228i | −0.0665055 | − | 0.312884i | ||||
\(499\) | 11.8466 | − | 23.2502i | 0.530325 | − | 1.04082i | −0.458070 | − | 0.888916i | \(-0.651459\pi\) |
0.988395 | − | 0.151905i | \(-0.0485409\pi\) | |||||||
\(500\) | −0.752404 | − | 1.96008i | −0.0336485 | − | 0.0876574i | ||||
\(501\) | −4.48658 | − | 11.6879i | −0.200446 | − | 0.522179i | ||||
\(502\) | 0.649549 | − | 1.27481i | 0.0289908 | − | 0.0568977i | ||||
\(503\) | 3.32271 | + | 15.6321i | 0.148153 | + | 0.697003i | 0.988034 | + | 0.154234i | \(0.0492908\pi\) |
−0.839882 | + | 0.542769i | \(0.817376\pi\) | |||||||
\(504\) | 0.648112 | + | 1.45568i | 0.0288692 | + | 0.0648413i | ||||
\(505\) | 25.2522 | − | 6.76632i | 1.12371 | − | 0.301097i | ||||
\(506\) | 3.82955 | − | 2.87256i | 0.170244 | − | 0.127701i | ||||
\(507\) | −4.93398 | − | 12.0273i | −0.219126 | − | 0.534151i | ||||
\(508\) | 0.375770 | − | 0.517203i | 0.0166721 | − | 0.0229472i | ||||
\(509\) | 1.71585 | − | 32.7404i | 0.0760538 | − | 1.45119i | −0.648100 | − | 0.761555i | \(-0.724436\pi\) |
0.724154 | − | 0.689639i | \(-0.242231\pi\) | |||||||
\(510\) | −0.770709 | − | 0.163819i | −0.0341276 | − | 0.00725404i | ||||
\(511\) | 5.51187 | − | 12.3799i | 0.243831 | − | 0.547653i | ||||
\(512\) | 3.58396 | − | 22.6282i | 0.158390 | − | 1.00004i | ||||
\(513\) | −0.195537 | − | 3.73106i | −0.00863316 | − | 0.164731i | ||||
\(514\) | −1.84617 | − | 1.19891i | −0.0814309 | − | 0.0528818i | ||||
\(515\) | −52.7582 | + | 8.35608i | −2.32481 | + | 0.368213i | ||||
\(516\) | −2.52755 | + | 1.45928i | −0.111269 | + | 0.0642412i | ||||
\(517\) | −10.5809 | − | 22.8221i | −0.465349 | − | 1.00372i | ||||
\(518\) | −0.598045 | − | 2.23193i | −0.0262766 | − | 0.0980656i | ||||
\(519\) | −12.6182 | − | 9.16765i | −0.553877 | − | 0.402415i | ||||
\(520\) | 2.77417 | + | 19.3651i | 0.121655 | + | 0.849218i | ||||
\(521\) | 10.7823 | + | 33.1845i | 0.472380 | + | 1.45384i | 0.849458 | + | 0.527656i | \(0.176929\pi\) |
−0.377078 | + | 0.926182i | \(0.623071\pi\) | |||||||
\(522\) | 0.564685 | − | 0.697328i | 0.0247156 | − | 0.0305212i | ||||
\(523\) | 9.12449 | − | 0.959022i | 0.398986 | − | 0.0419351i | 0.0970890 | − | 0.995276i | \(-0.469047\pi\) |
0.301897 | + | 0.953341i | \(0.402380\pi\) | |||||||
\(524\) | −7.87760 | + | 8.74896i | −0.344134 | + | 0.382200i | ||||
\(525\) | −2.30109 | − | 4.51615i | −0.100428 | − | 0.197101i | ||||
\(526\) | −4.32465 | + | 3.50204i | −0.188564 | + | 0.152696i | ||||
\(527\) | −0.852278 | + | 3.18074i | −0.0371258 | + | 0.138555i | ||||
\(528\) | 6.60489 | − | 6.80946i | 0.287441 | − | 0.296344i | ||||
\(529\) | −6.19558 | − | 10.7311i | −0.269373 | − | 0.466568i | ||||
\(530\) | −7.34935 | + | 3.27214i | −0.319235 | + | 0.142133i | ||||
\(531\) | −5.25004 | − | 0.275143i | −0.227832 | − | 0.0119402i | ||||
\(532\) | 6.05857 | − | 1.96855i | 0.262672 | − | 0.0853474i | ||||
\(533\) | −8.30045 | + | 36.3948i | −0.359532 | + | 1.57644i | ||||
\(534\) | −1.37013 | − | 1.88582i | −0.0592913 | − | 0.0816075i | ||||
\(535\) | −23.3412 | + | 15.1580i | −1.00913 | + | 0.655336i | ||||
\(536\) | −13.6561 | + | 12.2960i | −0.589852 | + | 0.531105i | ||||
\(537\) | −15.9553 | − | 1.67697i | −0.688521 | − | 0.0723665i | ||||
\(538\) | −5.01298 | + | 5.01298i | −0.216125 | + | 0.216125i | ||||
\(539\) | 20.2061 | − | 1.36819i | 0.870339 | − | 0.0589323i | ||||
\(540\) | 5.60793 | + | 1.50264i | 0.241327 | + | 0.0646634i | ||||
\(541\) | 3.25520 | + | 20.5526i | 0.139952 | + | 0.883623i | 0.953339 | + | 0.301901i | \(0.0976211\pi\) |
−0.813387 | + | 0.581723i | \(0.802379\pi\) | |||||||
\(542\) | 11.5916 | − | 2.46388i | 0.497903 | − | 0.105833i | ||||
\(543\) | −0.482852 | + | 2.27164i | −0.0207212 | + | 0.0974855i | ||||
\(544\) | 1.99122 | + | 1.61246i | 0.0853727 | + | 0.0691335i | ||||
\(545\) | −1.58789 | + | 1.15367i | −0.0680178 | + | 0.0494178i | ||||
\(546\) | 0.369315 | + | 1.46462i | 0.0158052 | + | 0.0626801i | ||||
\(547\) | 22.6709 | + | 7.36622i | 0.969338 | + | 0.314957i | 0.750549 | − | 0.660815i | \(-0.229789\pi\) |
0.218789 | + | 0.975772i | \(0.429789\pi\) | |||||||
\(548\) | −26.6091 | − | 10.2143i | −1.13668 | − | 0.436332i | ||||
\(549\) | −4.13123 | − | 2.38517i | −0.176317 | − | 0.101796i | ||||
\(550\) | 5.18303 | − | 5.93592i | 0.221005 | − | 0.253108i | ||||
\(551\) | −5.34932 | − | 5.34932i | −0.227889 | − | 0.227889i | ||||
\(552\) | −3.45503 | − | 4.26661i | −0.147056 | − | 0.181599i | ||||
\(553\) | −3.33752 | + | 5.13932i | −0.141926 | + | 0.218546i | ||||
\(554\) | −1.50170 | − | 0.765156i | −0.0638013 | − | 0.0325084i | ||||
\(555\) | −16.2197 | − | 7.22146i | −0.688487 | − | 0.306534i | ||||
\(556\) | −3.24317 | − | 30.8567i | −0.137541 | − | 1.30862i | ||||
\(557\) | 0.261344 | + | 0.402434i | 0.0110735 | + | 0.0170517i | 0.844164 | − | 0.536085i | \(-0.180097\pi\) |
−0.833090 | + | 0.553137i | \(0.813431\pi\) | |||||||
\(558\) | −0.816382 | + | 2.51257i | −0.0345602 | + | 0.106365i | ||||
\(559\) | −5.47720 | + | 2.01006i | −0.231661 | + | 0.0850166i | ||||
\(560\) | 8.70389i | 0.367807i | ||||||||
\(561\) | 0.501077 | + | 1.76212i | 0.0211555 | + | 0.0743966i | ||||
\(562\) | −1.74622 | + | 3.02453i | −0.0736597 | + | 0.127582i | ||||
\(563\) | 0.934227 | − | 8.88857i | 0.0393730 | − | 0.374609i | −0.957038 | − | 0.289962i | \(-0.906357\pi\) |
0.996411 | − | 0.0846464i | \(-0.0269761\pi\) | |||||||
\(564\) | −12.1889 | + | 6.21055i | −0.513245 | + | 0.261511i | ||||
\(565\) | −54.4458 | + | 2.85338i | −2.29055 | + | 0.120043i | ||||
\(566\) | 4.02818 | − | 1.54627i | 0.169317 | − | 0.0649946i | ||||
\(567\) | 0.933707 | + | 0.147885i | 0.0392120 | + | 0.00621057i | ||||
\(568\) | 9.64383 | + | 8.68335i | 0.404646 | + | 0.364345i | ||||
\(569\) | −10.1130 | − | 11.2316i | −0.423959 | − | 0.470854i | 0.492888 | − | 0.870093i | \(-0.335941\pi\) |
−0.916847 | + | 0.399239i | \(0.869275\pi\) | |||||||
\(570\) | −1.90994 | + | 4.97558i | −0.0799988 | + | 0.208404i | ||||
\(571\) | 9.44232 | 0.395149 | 0.197574 | − | 0.980288i | \(-0.436694\pi\) | ||||
0.197574 | + | 0.980288i | \(0.436694\pi\) | |||||||
\(572\) | 17.4432 | − | 12.6854i | 0.729337 | − | 0.530404i | ||||
\(573\) | 18.2719 | 0.763321 | ||||||||
\(574\) | 1.55435 | − | 4.04921i | 0.0648772 | − | 0.169011i | ||||
\(575\) | 11.6853 | + | 12.9779i | 0.487313 | + | 0.541216i | ||||
\(576\) | −2.72359 | − | 2.45233i | −0.113483 | − | 0.102180i | ||||
\(577\) | −32.6778 | − | 5.17565i | −1.36039 | − | 0.215465i | −0.566770 | − | 0.823876i | \(-0.691807\pi\) |
−0.793622 | + | 0.608411i | \(0.791807\pi\) | |||||||
\(578\) | 6.90692 | − | 2.65132i | 0.287290 | − | 0.110280i | ||||
\(579\) | −3.40138 | + | 0.178259i | −0.141357 | + | 0.00740819i | ||||
\(580\) | 10.4743 | − | 5.33692i | 0.434922 | − | 0.221604i | ||||
\(581\) | 1.59173 | − | 15.1443i | 0.0660361 | − | 0.628291i | ||||
\(582\) | −2.27821 | + | 3.94597i | −0.0944347 | + | 0.163566i | ||||
\(583\) | 14.7141 | + | 11.5483i | 0.609397 | + | 0.478280i | ||||
\(584\) | − | 24.1625i | − | 0.999850i | ||||||
\(585\) | 10.5317 | + | 4.87693i | 0.435432 | + | 0.201636i | ||||
\(586\) | −3.86333 | + | 11.8901i | −0.159593 | + | 0.491176i | ||||
\(587\) | 8.32103 | + | 12.8133i | 0.343446 | + | 0.528860i | 0.967615 | − | 0.252429i | \(-0.0812293\pi\) |
−0.624170 | + | 0.781289i | \(0.714563\pi\) | |||||||
\(588\) | −1.15122 | − | 10.9531i | −0.0474756 | − | 0.451700i | ||||
\(589\) | 20.3479 | + | 9.05949i | 0.838423 | + | 0.373290i | ||||
\(590\) | 6.68194 | + | 3.40462i | 0.275091 | + | 0.140166i | ||||
\(591\) | 1.24537 | − | 1.91770i | 0.0512277 | − | 0.0788838i | ||||
\(592\) | 9.92838 | + | 12.2605i | 0.408054 | + | 0.503905i | ||||
\(593\) | 28.6360 | + | 28.6360i | 1.17594 | + | 1.17594i | 0.980769 | + | 0.195170i | \(0.0625259\pi\) |
0.195170 | + | 0.980769i | \(0.437474\pi\) | |||||||
\(594\) | 0.327466 | + | 1.43281i | 0.0134361 | + | 0.0587890i | ||||
\(595\) | −1.45565 | − | 0.840422i | −0.0596760 | − | 0.0344540i | ||||
\(596\) | 0.286524 | + | 0.109986i | 0.0117365 | + | 0.00450520i | ||||
\(597\) | −17.5580 | − | 5.70495i | −0.718602 | − | 0.233488i | ||||
\(598\) | −2.53516 | − | 4.54497i | −0.103670 | − | 0.185858i | ||||
\(599\) | 27.8655 | − | 20.2454i | 1.13855 | − | 0.827206i | 0.151635 | − | 0.988437i | \(-0.451546\pi\) |
0.986917 | + | 0.161230i | \(0.0515462\pi\) | |||||||
\(600\) | −7.02337 | − | 5.68741i | −0.286728 | − | 0.232188i | ||||
\(601\) | −8.22054 | + | 38.6746i | −0.335323 | + | 1.57757i | 0.410776 | + | 0.911736i | \(0.365258\pi\) |
−0.746099 | + | 0.665835i | \(0.768076\pi\) | |||||||
\(602\) | 0.663083 | − | 0.140943i | 0.0270252 | − | 0.00574439i | ||||
\(603\) | 1.70545 | + | 10.7678i | 0.0694512 | + | 0.438498i | ||||
\(604\) | −19.9970 | − | 5.35819i | −0.813668 | − | 0.218022i | ||||
\(605\) | −34.4655 | − | 8.11720i | −1.40122 | − | 0.330011i | ||||
\(606\) | 2.54493 | − | 2.54493i | 0.103381 | − | 0.103381i | ||||
\(607\) | −3.80761 | − | 0.400196i | −0.154546 | − | 0.0162435i | 0.0269393 | − | 0.999637i | \(-0.491424\pi\) |
−0.181486 | + | 0.983394i | \(0.558091\pi\) | |||||||
\(608\) | 12.8794 | − | 11.5966i | 0.522328 | − | 0.470306i | ||||
\(609\) | 1.60534 | − | 1.04252i | 0.0650517 | − | 0.0422451i | ||||
\(610\) | 3.99973 | + | 5.50515i | 0.161944 | + | 0.222897i | ||||
\(611\) | −26.1307 | + | 8.06507i | −1.05714 | + | 0.326278i | ||||
\(612\) | 0.947489 | − | 0.307858i | 0.0383000 | − | 0.0124444i | ||||
\(613\) | 14.0262 | + | 0.735079i | 0.566511 | + | 0.0296896i | 0.333442 | − | 0.942771i | \(-0.391790\pi\) |
0.233069 | + | 0.972460i | \(0.425123\pi\) | |||||||
\(614\) | 4.65217 | − | 2.07128i | 0.187746 | − | 0.0835900i | ||||
\(615\) | −16.6634 | − | 28.8618i | −0.671932 | − | 1.16382i | ||||
\(616\) | −4.67171 | + | 2.47080i | −0.188229 | + | 0.0995513i | ||||
\(617\) | 3.17585 | − | 11.8524i | 0.127855 | − | 0.477161i | −0.872071 | − | 0.489380i | \(-0.837223\pi\) |
0.999925 | + | 0.0122196i | \(0.00388971\pi\) | |||||||
\(618\) | −5.71489 | + | 4.62783i | −0.229887 | + | 0.186159i | ||||
\(619\) | 14.1744 | + | 27.8188i | 0.569716 | + | 1.11813i | 0.978644 | + | 0.205564i | \(0.0659030\pi\) |
−0.408927 | + | 0.912567i | \(0.634097\pi\) | |||||||
\(620\) | −23.1596 | + | 25.7214i | −0.930114 | + | 1.03300i | ||||
\(621\) | −3.23928 | + | 0.340462i | −0.129988 | + | 0.0136623i | ||||
\(622\) | 2.38819 | − | 2.94917i | 0.0957577 | − | 0.118251i | ||||
\(623\) | −1.53662 | − | 4.72923i | −0.0615634 | − | 0.189473i | ||||
\(624\) | −6.37086 | − | 8.10974i | −0.255038 | − | 0.324650i | ||||
\(625\) | −18.6568 | − | 13.5550i | −0.746272 | − | 0.542199i | ||||
\(626\) | −0.330853 | − | 1.23476i | −0.0132235 | − | 0.0493509i | ||||
\(627\) | 12.3025 | − | 1.48303i | 0.491313 | − | 0.0592265i | ||||
\(628\) | −4.03544 | + | 2.32986i | −0.161031 | + | 0.0929715i | ||||
\(629\) | −3.00913 | + | 0.476599i | −0.119982 | + | 0.0190032i | ||||
\(630\) | −1.13095 | − | 0.734451i | −0.0450583 | − | 0.0292612i | ||||
\(631\) | −0.374716 | − | 7.15001i | −0.0149172 | − | 0.284638i | −0.995895 | − | 0.0905170i | \(-0.971148\pi\) |
0.980978 | − | 0.194121i | \(-0.0621853\pi\) | |||||||
\(632\) | −1.70924 | + | 10.7917i | −0.0679899 | + | 0.429271i | ||||
\(633\) | 9.05521 | − | 20.3383i | 0.359912 | − | 0.808376i | ||||
\(634\) | −2.28171 | − | 0.484992i | −0.0906182 | − | 0.0192615i | ||||
\(635\) | −0.0597135 | + | 1.13940i | −0.00236966 | + | 0.0452158i | ||||
\(636\) | 5.97887 | − | 8.22921i | 0.237078 | − | 0.326309i | ||||
\(637\) | 1.47735 | − | 21.9670i | 0.0585346 | − | 0.870366i | ||||
\(638\) | 2.43402 | + | 1.71233i | 0.0963636 | + | 0.0677916i | ||||
\(639\) | 7.43659 | − | 1.99263i | 0.294187 | − | 0.0788271i | ||||
\(640\) | 14.2729 | + | 32.0574i | 0.564185 | + | 1.26718i | ||||
\(641\) | −7.82594 | − | 36.8182i | −0.309106 | − | 1.45423i | −0.808829 | − | 0.588044i | \(-0.799898\pi\) |
0.499722 | − | 0.866186i | \(-0.333435\pi\) | |||||||
\(642\) | −1.73946 | + | 3.41388i | −0.0686509 | + | 0.134735i | ||||
\(643\) | 12.6707 | + | 33.0082i | 0.499682 | + | 1.30172i | 0.919136 | + | 0.393940i | \(0.128888\pi\) |
−0.419454 | + | 0.907777i | \(0.637778\pi\) | |||||||
\(644\) | −1.99021 | − | 5.18467i | −0.0784253 | − | 0.204305i | ||||
\(645\) | 2.36475 | − | 4.64107i | 0.0931117 | − | 0.182742i | ||||
\(646\) | 0.190143 | + | 0.894551i | 0.00748106 | + | 0.0351956i | ||||
\(647\) | 5.81281 | + | 13.0558i | 0.228525 | + | 0.513276i | 0.991019 | − | 0.133719i | \(-0.0426921\pi\) |
−0.762494 | + | 0.646995i | \(0.776025\pi\) | |||||||
\(648\) | 1.62813 | − | 0.436257i | 0.0639591 | − | 0.0171378i | ||||
\(649\) | −0.265873 | − | 17.4343i | −0.0104364 | − | 0.684356i | ||||
\(650\) | −5.63750 | − | 6.45045i | −0.221121 | − | 0.253007i | ||||
\(651\) | −3.31262 | + | 4.55943i | −0.129832 | + | 0.178698i | ||||
\(652\) | −2.23930 | + | 42.7283i | −0.0876977 | + | 1.67337i | ||||
\(653\) | 7.10018 | + | 1.50919i | 0.277852 | + | 0.0590592i | 0.344730 | − | 0.938702i | \(-0.387971\pi\) |
−0.0668781 | + | 0.997761i | \(0.521304\pi\) | |||||||
\(654\) | −0.109903 | + | 0.246847i | −0.00429757 | + | 0.00965249i | ||||
\(655\) | 3.28688 | − | 20.7526i | 0.128429 | − | 0.810870i | ||||
\(656\) | 1.54984 | + | 29.5728i | 0.0605113 | + | 1.15462i | ||||
\(657\) | −12.0223 | − | 7.80735i | −0.469033 | − | 0.304594i | ||||
\(658\) | 3.13833 | − | 0.497062i | 0.122345 | − | 0.0193775i | ||||
\(659\) | −36.3914 | + | 21.0106i | −1.41761 | + | 0.818455i | −0.996088 | − | 0.0883652i | \(-0.971836\pi\) |
−0.421518 | + | 0.906820i | \(0.638502\pi\) | |||||||
\(660\) | −3.71579 | + | 18.8936i | −0.144637 | + | 0.735432i | ||||
\(661\) | −5.78241 | − | 21.5802i | −0.224910 | − | 0.839374i | −0.982441 | − | 0.186575i | \(-0.940261\pi\) |
0.757531 | − | 0.652799i | \(-0.226405\pi\) | |||||||
\(662\) | −4.08829 | − | 2.97032i | −0.158896 | − | 0.115445i | ||||
\(663\) | 1.97144 | − | 0.282420i | 0.0765643 | − | 0.0109683i | ||||
\(664\) | −8.39021 | − | 25.8224i | −0.325603 | − | 1.00210i | ||||
\(665\) | −7.15492 | + | 8.83559i | −0.277456 | + | 0.342630i | ||||
\(666\) | −2.43087 | + | 0.255495i | −0.0941942 | + | 0.00990021i | ||||
\(667\) | −4.41296 | + | 4.90109i | −0.170871 | + | 0.189771i | ||||
\(668\) | −10.2513 | − | 20.1193i | −0.396634 | − | 0.778438i | ||||
\(669\) | 14.4630 | − | 11.7119i | 0.559174 | − | 0.452810i | ||||
\(670\) | 4.02500 | − | 15.0215i | 0.155499 | − | 0.580331i | ||||
\(671\) | 6.96698 | − | 14.2049i | 0.268957 | − | 0.548372i | ||||
\(672\) | 2.19257 | + | 3.79764i | 0.0845803 | + | 0.146497i | ||||
\(673\) | 39.2890 | − | 17.4926i | 1.51448 | − | 0.674290i | 0.529715 | − | 0.848176i | \(-0.322299\pi\) |
0.984766 | + | 0.173885i | \(0.0556321\pi\) | |||||||
\(674\) | −9.45990 | − | 0.495772i | −0.364382 | − | 0.0190964i | ||||
\(675\) | −5.09921 | + | 1.65683i | −0.196269 | + | 0.0637716i | ||||
\(676\) | −11.1178 | − | 20.6436i | −0.427606 | − | 0.793986i | ||||
\(677\) | 26.6782 | + | 36.7194i | 1.02533 | + | 1.41124i | 0.908400 | + | 0.418102i | \(0.137304\pi\) |
0.116927 | + | 0.993141i | \(0.462696\pi\) | |||||||
\(678\) | −6.29487 | + | 4.08793i | −0.241753 | + | 0.156996i | ||||
\(679\) | −7.22334 | + | 6.50392i | −0.277206 | + | 0.249598i | ||||
\(680\) | −2.98056 | − | 0.313269i | −0.114299 | − | 0.0120133i | ||||
\(681\) | 1.37622 | − | 1.37622i | 0.0527370 | − | 0.0527370i | ||||
\(682\) | −8.49712 | − | 2.13848i | −0.325372 | − | 0.0818865i | ||||
\(683\) | −36.0849 | − | 9.66892i | −1.38075 | − | 0.369971i | −0.509356 | − | 0.860556i | \(-0.670116\pi\) |
−0.871393 | + | 0.490585i | \(0.836783\pi\) | |||||||
\(684\) | −1.05416 | − | 6.65569i | −0.0403067 | − | 0.254487i | ||||
\(685\) | 49.7567 | − | 10.5761i | 1.90111 | − | 0.404093i | ||||
\(686\) | −1.14156 | + | 5.37063i | −0.0435850 | + | 0.205052i | ||||
\(687\) | 3.14350 | + | 2.54556i | 0.119932 | + | 0.0971190i | ||||
\(688\) | −3.74447 | + | 2.72052i | −0.142756 | + | 0.103719i | ||||
\(689\) | 14.5896 | − | 14.1642i | 0.555818 | − | 0.539613i | ||||
\(690\) | 4.41879 | + | 1.43575i | 0.168221 | + | 0.0546582i | ||||
\(691\) | 7.22599 | + | 2.77380i | 0.274890 | + | 0.105520i | 0.491908 | − | 0.870647i | \(-0.336300\pi\) |
−0.217018 | + | 0.976168i | \(0.569633\pi\) | |||||||
\(692\) | −24.3621 | − | 14.0655i | −0.926109 | − | 0.534689i | ||||
\(693\) | −0.280149 | + | 3.12282i | −0.0106420 | + | 0.118626i | ||||
\(694\) | −6.10646 | − | 6.10646i | −0.231798 | − | 0.231798i | ||||
\(695\) | 34.8479 | + | 43.0336i | 1.32186 | + | 1.63236i | ||||
\(696\) | 1.85883 | − | 2.86235i | 0.0704589 | − | 0.108497i | ||||
\(697\) | −5.09545 | − | 2.59626i | −0.193004 | − | 0.0983405i | ||||
\(698\) | −2.23406 | − | 0.994667i | −0.0845604 | − | 0.0376487i | ||||
\(699\) | 2.00557 | + | 19.0817i | 0.0758575 | + | 0.721736i | ||||
\(700\) | −4.97899 | − | 7.66697i | −0.188188 | − | 0.289784i | ||||
\(701\) | −0.253012 | + | 0.778692i | −0.00955615 | + | 0.0294108i | −0.955721 | − | 0.294275i | \(-0.904922\pi\) |
0.946165 | + | 0.323685i | \(0.104922\pi\) | |||||||
\(702\) | 1.59134 | − | 0.143493i | 0.0600612 | − | 0.00541578i | ||||
\(703\) | 20.6075i | 0.777228i | ||||||||
\(704\) | 7.50462 | − | 9.56195i | 0.282841 | − | 0.360380i | ||||
\(705\) | 12.2074 | − | 21.1438i | 0.459757 | − | 0.796322i | ||||
\(706\) | −0.0269482 | + | 0.256395i | −0.00101421 | + | 0.00964957i | ||||
\(707\) | 6.84091 | − | 3.48562i | 0.257279 | − | 0.131090i | ||||
\(708\) | −9.46908 | + | 0.496253i | −0.355870 | + | 0.0186503i | ||||
\(709\) | −31.6513 | + | 12.1498i | −1.18869 | + | 0.456296i | −0.870708 | − | 0.491801i | \(-0.836339\pi\) |
−0.317983 | + | 0.948096i | \(0.603006\pi\) | |||||||
\(710\) | −10.8471 | − | 1.71801i | −0.407084 | − | 0.0644757i | ||||
\(711\) | 4.81723 | + | 4.33745i | 0.180660 | + | 0.162667i | ||||
\(712\) | −5.93268 | − | 6.58891i | −0.222337 | − | 0.246930i | ||||
\(713\) | 6.95865 | − | 18.1279i | 0.260604 | − | 0.678896i | ||||
\(714\) | −0.231400 | −0.00865992 | ||||||||
\(715\) | −13.7782 | + | 35.9426i | −0.515277 | + | 1.34418i | ||||
\(716\) | −28.9358 | −1.08138 | ||||||||
\(717\) | 0.0673338 | − | 0.175410i | 0.00251463 | − | 0.00655082i | ||||
\(718\) | 6.20387 | + | 6.89009i | 0.231526 | + | 0.257136i | ||||
\(719\) | 26.0225 | + | 23.4307i | 0.970474 | + | 0.873819i | 0.992037 | − | 0.125949i | \(-0.0401974\pi\) |
−0.0215625 | + | 0.999768i | \(0.506864\pi\) | |||||||
\(720\) | 9.09375 | + | 1.44031i | 0.338904 | + | 0.0536771i | ||||
\(721\) | −14.6453 | + | 5.62181i | −0.545420 | + | 0.209367i | ||||
\(722\) | −2.23081 | + | 0.116912i | −0.0830223 | + | 0.00435101i | ||||
\(723\) | −22.3454 | + | 11.3856i | −0.831036 | + | 0.423434i | ||||
\(724\) | −0.437839 | + | 4.16576i | −0.0162722 | + | 0.154819i | ||||
\(725\) | −5.42815 | + | 9.40184i | −0.201597 | + | 0.349175i | ||||
\(726\) | −4.66787 | + | 1.40464i | −0.173241 | + | 0.0521310i | ||||
\(727\) | 5.47143i | 0.202924i | 0.994839 | + | 0.101462i | \(0.0323520\pi\) | ||||
−0.994839 | + | 0.101462i | \(0.967648\pi\) | |||||||
\(728\) | 1.97935 | + | 5.39352i | 0.0733596 | + | 0.199897i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 11.1370 | + | 17.1494i | 0.412198 | + | 0.634729i | ||||
\(731\) | −0.0934289 | − | 0.888916i | −0.00345559 | − | 0.0328778i | ||||
\(732\) | −7.86002 | − | 3.49951i | −0.290515 | − | 0.129345i | ||||
\(733\) | 33.0550 | + | 16.8424i | 1.22091 | + | 0.622087i | 0.941152 | − | 0.337983i | \(-0.109745\pi\) |
0.279761 | + | 0.960070i | \(0.409745\pi\) | |||||||
\(734\) | 6.52652 | − | 10.0500i | 0.240898 | − | 0.370951i | ||||
\(735\) | 12.3699 | + | 15.2755i | 0.456270 | + | 0.563446i | ||||
\(736\) | −10.6835 | − | 10.6835i | −0.393798 | − | 0.393798i | ||||
\(737\) | −35.2490 | + | 8.05606i | −1.29841 | + | 0.296749i | ||||
\(738\) | −3.97337 | − | 2.29403i | −0.146262 | − | 0.0844442i | ||||
\(739\) | 28.7793 | + | 11.0473i | 1.05866 | + | 0.406383i | 0.824528 | − | 0.565821i | \(-0.191440\pi\) |
0.234136 | + | 0.972204i | \(0.424774\pi\) | |||||||
\(740\) | −30.4553 | − | 9.89553i | −1.11956 | − | 0.363767i | ||||
\(741\) | 0.199254 | − | 13.4695i | 0.00731978 | − | 0.494816i | ||||
\(742\) | −1.91141 | + | 1.38872i | −0.0701699 | + | 0.0509814i | ||||
\(743\) | −32.6002 | − | 26.3991i | −1.19598 | − | 0.968489i | −0.196058 | − | 0.980592i | \(-0.562814\pi\) |
−0.999927 | + | 0.0121029i | \(0.996147\pi\) | |||||||
\(744\) | −2.08923 | + | 9.82908i | −0.0765951 | + | 0.360351i | ||||
\(745\) | −0.535774 | + | 0.113882i | −0.0196293 | + | 0.00417233i | ||||
\(746\) | 1.33526 | + | 8.43049i | 0.0488873 | + | 0.308662i | ||||
\(747\) | −15.5592 | − | 4.16908i | −0.569282 | − | 0.152539i | ||||
\(748\) | 1.23101 | + | 3.06631i | 0.0450103 | + | 0.112115i | ||||
\(749\) | −5.77955 | + | 5.77955i | −0.211180 | + | 0.211180i | ||||
\(750\) | 0.513027 | + | 0.0539213i | 0.0187331 | + | 0.00196893i | ||||
\(751\) | −13.3354 | + | 12.0072i | −0.486615 | + | 0.438150i | −0.875559 | − | 0.483111i | \(-0.839507\pi\) |
0.388944 | + | 0.921262i | \(0.372840\pi\) | |||||||
\(752\) | −18.1944 | + | 11.8156i | −0.663483 | + | 0.430871i | ||||
\(753\) | −1.89773 | − | 2.61200i | −0.0691572 | − | 0.0951867i | ||||
\(754\) | 2.20012 | − | 2.37197i | 0.0801237 | − | 0.0863819i | ||||
\(755\) | 35.1397 | − | 11.4176i | 1.27886 | − | 0.415528i | ||||
\(756\) | 1.70271 | + | 0.0892351i | 0.0619269 | + | 0.00324545i | ||||
\(757\) | −8.53380 | + | 3.79949i | −0.310166 | + | 0.138095i | −0.555916 | − | 0.831238i | \(-0.687632\pi\) |
0.245750 | + | 0.969333i | \(0.420966\pi\) | |||||||
\(758\) | 5.00816 | + | 8.67439i | 0.181905 | + | 0.315068i | ||||
\(759\) | −1.85240 | − | 10.6426i | −0.0672380 | − | 0.386304i | ||||
\(760\) | −5.24668 | + | 19.5809i | −0.190317 | + | 0.710274i | ||||
\(761\) | 2.90719 | − | 2.35419i | 0.105386 | − | 0.0853395i | −0.575179 | − | 0.818027i | \(-0.695068\pi\) |
0.680565 | + | 0.732688i | \(0.261734\pi\) | |||||||
\(762\) | 0.0713107 | + | 0.139955i | 0.00258331 | + | 0.00507004i | ||||
\(763\) | −0.385701 | + | 0.428364i | −0.0139633 | + | 0.0155078i | ||||
\(764\) | 32.7751 | − | 3.44480i | 1.18576 | − | 0.124629i | ||||
\(765\) | −1.11894 | + | 1.38178i | −0.0404555 | + | 0.0499584i | ||||
\(766\) | 4.53756 | + | 13.9652i | 0.163949 | + | 0.504582i | ||||
\(767\) | −18.8201 | − | 2.25999i | −0.679553 | − | 0.0816034i | ||||
\(768\) | −2.02168 | − | 1.46884i | −0.0729512 | − | 0.0530021i | ||||
\(769\) | 13.8309 | + | 51.6176i | 0.498755 | + | 1.86138i | 0.507895 | + | 0.861419i | \(0.330424\pi\) |
−0.00914041 | + | 0.999958i | \(0.502910\pi\) | |||||||
\(770\) | 2.17693 | − | 3.90695i | 0.0784511 | − | 0.140797i | ||||
\(771\) | −4.30190 | + | 2.48370i | −0.154929 | + | 0.0894484i | ||||
\(772\) | −6.06759 | + | 0.961012i | −0.218377 | + | 0.0345876i | ||||
\(773\) | −29.9858 | − | 19.4730i | −1.07851 | − | 0.700395i | −0.122132 | − | 0.992514i | \(-0.538973\pi\) |
−0.956382 | + | 0.292119i | \(0.905640\pi\) | |||||||
\(774\) | −0.0375295 | − | 0.716106i | −0.00134897 | − | 0.0257399i | ||||
\(775\) | 5.00024 | − | 31.5703i | 0.179614 | − | 1.13404i | ||||
\(776\) | −7.04909 | + | 15.8325i | −0.253048 | + | 0.568354i | ||||
\(777\) | −5.10027 | − | 1.08410i | −0.182971 | − | 0.0388917i | ||||
\(778\) | −0.0382763 | + | 0.730355i | −0.00137227 | + | 0.0261845i | ||||
\(779\) | −22.7366 | + | 31.2943i | −0.814624 | + | 1.12123i | ||||
\(780\) | 19.8106 | + | 6.76240i | 0.709332 | + | 0.242133i | ||||
\(781\) | 8.25996 | + | 24.1616i | 0.295564 | + | 0.864568i | ||||
\(782\) | 0.770105 | − | 0.206349i | 0.0275389 | − | 0.00737903i | ||||
\(783\) | −0.823566 | − | 1.84976i | −0.0294319 | − | 0.0661050i | ||||
\(784\) | −3.63134 | − | 17.0841i | −0.129691 | − | 0.610148i | ||||
\(785\) | 3.77551 | − | 7.40986i | 0.134754 | − | 0.264469i | ||||
\(786\) | −1.03661 | − | 2.70047i | −0.0369747 | − | 0.0963224i | ||||
\(787\) | −11.4914 | − | 29.9361i | −0.409624 | − | 1.06711i | −0.970902 | − | 0.239479i | \(-0.923023\pi\) |
0.561278 | − | 0.827628i | \(-0.310310\pi\) | |||||||
\(788\) | 1.87233 | − | 3.67465i | 0.0666989 | − | 0.130904i | ||||
\(789\) | 2.61083 | + | 12.2830i | 0.0929480 | + | 0.437286i | ||||
\(790\) | −3.76098 | − | 8.44729i | −0.133809 | − | 0.300541i | ||||
\(791\) | −15.4661 | + | 4.14412i | −0.549911 | + | 0.147348i | ||||
\(792\) | 1.80840 | + | 5.28982i | 0.0642586 | + | 0.187966i | ||||
\(793\) | −14.2847 | − | 9.57995i | −0.507265 | − | 0.340194i | ||||
\(794\) | −6.91277 | + | 9.51461i | −0.245325 | + | 0.337661i | ||||
\(795\) | −0.950101 | + | 18.1290i | −0.0336966 | + | 0.642969i | ||||
\(796\) | −32.5701 | − | 6.92298i | −1.15442 | − | 0.245379i | ||||
\(797\) | −1.43795 | + | 3.22968i | −0.0509347 | + | 0.114401i | −0.937220 | − | 0.348738i | \(-0.886610\pi\) |
0.886286 | + | 0.463139i | \(0.153277\pi\) | |||||||
\(798\) | −0.244850 | + | 1.54592i | −0.00866761 | + | 0.0547251i | ||||
\(799\) | −0.219261 | − | 4.18375i | −0.00775690 | − | 0.148010i | ||||
\(800\) | −20.8584 | − | 13.5456i | −0.737456 | − | 0.478910i | ||||
\(801\) | −5.19534 | + | 0.822861i | −0.183568 | + | 0.0290743i | ||||
\(802\) | 3.23208 | − | 1.86604i | 0.114129 | − | 0.0658923i | ||||
\(803\) | 23.1412 | − | 41.5316i | 0.816634 | − | 1.46562i | ||||
\(804\) | 5.08917 | + | 18.9931i | 0.179481 | + | 0.669833i | ||||
\(805\) | 8.01856 | + | 5.82583i | 0.282617 | + | 0.205333i | ||||
\(806\) | −3.54476 | + | 8.84126i | −0.124859 | + | 0.311420i | ||||
\(807\) | 4.94361 | + | 15.2149i | 0.174023 | + | 0.535589i | ||||
\(808\) | 8.61510 | − | 10.6388i | 0.303078 | − | 0.374270i | ||||
\(809\) | 51.1868 | − | 5.37995i | 1.79963 | − | 0.189149i | 0.855298 | − | 0.518136i | \(-0.173374\pi\) |
0.944334 | + | 0.328987i | \(0.106707\pi\) | |||||||
\(810\) | −0.954496 | + | 1.06008i | −0.0335376 | + | 0.0372472i | ||||
\(811\) | 6.39844 | + | 12.5576i | 0.224680 | + | 0.440958i | 0.975637 | − | 0.219393i | \(-0.0704075\pi\) |
−0.750957 | + | 0.660351i | \(0.770408\pi\) | |||||||
\(812\) | 2.68302 | − | 2.17266i | 0.0941555 | − | 0.0762456i | ||||
\(813\) | 6.92129 | − | 25.8306i | 0.242740 | − | 0.905919i | ||||
\(814\) | −1.39011 | − | 7.98661i | −0.0487233 | − | 0.279931i | ||||
\(815\) | −38.1813 | − | 66.1320i | −1.33743 | − | 2.31650i | ||||
\(816\) | 1.44332 | − | 0.642606i | 0.0505262 | − | 0.0224957i | ||||
\(817\) | −6.03749 | − | 0.316411i | −0.211225 | − | 0.0110698i | ||||
\(818\) | −6.46948 | + | 2.10206i | −0.226200 | + | 0.0734969i | ||||
\(819\) | 3.32316 | + | 0.757902i | 0.116121 | + | 0.0264832i | ||||
\(820\) | −35.3311 | − | 48.6290i | −1.23381 | − | 1.69820i | ||||
\(821\) | −38.5152 | + | 25.0120i | −1.34419 | + | 0.872926i | −0.997873 | − | 0.0651919i | \(-0.979234\pi\) |
−0.346316 | + | 0.938118i | \(0.612567\pi\) | |||||||
\(822\) | 5.20422 | − | 4.68590i | 0.181518 | − | 0.163440i | ||||
\(823\) | 43.7637 | + | 4.59975i | 1.52551 | + | 0.160337i | 0.829829 | − | 0.558017i | \(-0.188438\pi\) |
0.695677 | + | 0.718355i | \(0.255104\pi\) | |||||||
\(824\) | −19.7782 | + | 19.7782i | −0.689007 | + | 0.689007i | ||||
\(825\) | −6.62508 | − | 16.5023i | −0.230656 | − | 0.574536i | ||||
\(826\) | 2.12737 | + | 0.570026i | 0.0740205 | + | 0.0198337i | ||||
\(827\) | −5.17581 | − | 32.6788i | −0.179981 | − | 1.13635i | −0.897891 | − | 0.440217i | \(-0.854901\pi\) |
0.717911 | − | 0.696135i | \(-0.245099\pi\) | |||||||
\(828\) | −5.74624 | + | 1.22140i | −0.199695 | + | 0.0424466i | ||||
\(829\) | 0.338403 | − | 1.59206i | 0.0117532 | − | 0.0552945i | −0.971880 | − | 0.235476i | \(-0.924335\pi\) |
0.983633 | + | 0.180181i | \(0.0576685\pi\) | |||||||
\(830\) | 17.8571 | + | 14.4604i | 0.619827 | + | 0.501926i | ||||
\(831\) | −3.07689 | + | 2.23549i | −0.106736 | + | 0.0775483i | ||||
\(832\) | −9.20459 | − | 9.48100i | −0.319112 | − | 0.328695i | ||||
\(833\) | 3.20781 | + | 1.04228i | 0.111144 | + | 0.0361129i | ||||
\(834\) | 7.11691 | + | 2.73193i | 0.246439 | + | 0.0945989i | ||||
\(835\) | 34.9005 | + | 20.1498i | 1.20778 | + | 0.697312i | ||||
\(836\) | 21.7878 | − | 4.97955i | 0.753547 | − | 0.172221i | ||||
\(837\) | 4.21548 | + | 4.21548i | 0.145708 | + | 0.145708i | ||||
\(838\) | 1.14087 | + | 1.40885i | 0.0394106 | + | 0.0486680i | ||||
\(839\) | 11.1870 | − | 17.2265i | 0.386219 | − | 0.594726i | −0.591074 | − | 0.806618i | \(-0.701296\pi\) |
0.977293 | + | 0.211892i | \(0.0679624\pi\) | |||||||
\(840\) | −4.57016 | − | 2.32862i | −0.157686 | − | 0.0803449i | ||||
\(841\) | 22.7474 | + | 10.1278i | 0.784393 | + | 0.349234i | ||||
\(842\) | −1.59425 | − | 15.1682i | −0.0549414 | − | 0.522732i | ||||
\(843\) | 4.29227 | + | 6.60952i | 0.147834 | + | 0.227644i | ||||
\(844\) | 12.4083 | − | 38.1888i | 0.427111 | − | 1.31451i | ||||
\(845\) | 36.7071 | + | 20.0924i | 1.26276 | + | 0.691200i | ||||
\(846\) | − | 3.36115i | − | 0.115559i | ||||||
\(847\) | −10.3963 | − | 0.227323i | −0.357222 | − | 0.00781092i | ||||
\(848\) | 8.06556 | − | 13.9700i | 0.276972 | − | 0.479730i | ||||
\(849\) | 1.01775 | − | 9.68326i | 0.0349292 | − | 0.332329i | ||||
\(850\) | 1.16936 | − | 0.595821i | 0.0401089 | − | 0.0204365i | ||||
\(851\) | 17.9406 | − | 0.940226i | 0.614995 | − | 0.0322305i | ||||
\(852\) | 12.9636 | − | 4.97627i | 0.444127 | − | 0.170484i | ||||
\(853\) | 44.2050 | + | 7.00139i | 1.51355 | + | 0.239723i | 0.857299 | − | 0.514819i | \(-0.172141\pi\) |
0.656252 | + | 0.754542i | \(0.272141\pi\) | |||||||
\(854\) | 1.48512 | + | 1.33721i | 0.0508198 | + | 0.0457583i | ||||
\(855\) | 8.04736 | + | 8.93750i | 0.275214 | + | 0.305656i | ||||
\(856\) | −5.22268 | + | 13.6055i | −0.178508 | + | 0.465028i | ||||
\(857\) | −4.87057 | −0.166376 | −0.0831878 | − | 0.996534i | \(-0.526510\pi\) | ||||
−0.0831878 | + | 0.996534i | \(0.526510\pi\) | |||||||
\(858\) | 0.831382 | + | 5.23366i | 0.0283829 | + | 0.178674i | ||||
\(859\) | −33.1629 | −1.13150 | −0.565751 | − | 0.824576i | \(-0.691414\pi\) | ||||
−0.565751 | + | 0.824576i | \(0.691414\pi\) | |||||||
\(860\) | 3.36676 | − | 8.77070i | 0.114805 | − | 0.299078i | ||||
\(861\) | −6.54908 | − | 7.27350i | −0.223192 | − | 0.247880i | ||||
\(862\) | 12.6246 | + | 11.3672i | 0.429995 | + | 0.387169i | ||||
\(863\) | 37.5289 | + | 5.94399i | 1.27750 | + | 0.202336i | 0.758067 | − | 0.652176i | \(-0.226144\pi\) |
0.519431 | + | 0.854512i | \(0.326144\pi\) | |||||||
\(864\) | 4.33057 | − | 1.66235i | 0.147329 | − | 0.0565543i | ||||
\(865\) | 50.1369 | − | 2.62757i | 1.70471 | − | 0.0893399i | ||||
\(866\) | −7.09273 | + | 3.61393i | −0.241021 | + | 0.122806i | ||||
\(867\) | 1.74509 | − | 16.6034i | 0.0592664 | − | 0.563882i | ||||
\(868\) | −5.08239 | + | 8.80295i | −0.172507 | + | 0.298792i | ||||
\(869\) | −13.2735 | + | 16.9123i | −0.450272 | + | 0.573711i | ||||
\(870\) | 2.88834i | 0.0979239i | ||||||||
\(871\) | 3.53010 | + | 39.1489i | 0.119613 | + | 1.32651i | ||||
\(872\) | −0.317598 | + | 0.977466i | −0.0107552 | + | 0.0331012i | ||||
\(873\) | 5.59993 | + | 8.62313i | 0.189529 | + | 0.291849i | ||||
\(874\) | −0.563698 | − | 5.36323i | −0.0190674 | − | 0.181414i | ||||
\(875\) | 1.00530 | + | 0.447590i | 0.0339855 | + | 0.0151313i | ||||
\(876\) | −23.0367 | − | 11.7378i | −0.778339 | − | 0.396583i | ||||
\(877\) | 4.61790 | − | 7.11094i | 0.155935 | − | 0.240120i | −0.752065 | − | 0.659089i | \(-0.770942\pi\) |
0.908000 | + | 0.418970i | \(0.137609\pi\) | |||||||
\(878\) | 8.84417 | + | 10.9216i | 0.298476 | + | 0.368588i | ||||
\(879\) | 19.9487 | + | 19.9487i | 0.672854 | + | 0.672854i | ||||
\(880\) | −2.72849 | + | 30.4144i | −0.0919772 | + | 1.02527i | ||||
\(881\) | −37.4037 | − | 21.5950i | −1.26016 | − | 0.727556i | −0.287057 | − | 0.957913i | \(-0.592677\pi\) |
−0.973106 | + | 0.230358i | \(0.926010\pi\) | |||||||
\(882\) | 2.52627 | + | 0.969746i | 0.0850641 | + | 0.0326530i | ||||
\(883\) | −31.3510 | − | 10.1865i | −1.05504 | − | 0.342805i | −0.270398 | − | 0.962749i | \(-0.587155\pi\) |
−0.784646 | + | 0.619944i | \(0.787155\pi\) | |||||||
\(884\) | 3.48300 | − | 0.878263i | 0.117146 | − | 0.0295392i | ||||
\(885\) | 13.6908 | − | 9.94698i | 0.460213 | − | 0.334364i | ||||
\(886\) | −0.0373772 | − | 0.0302674i | −0.00125571 | − | 0.00101685i | ||||
\(887\) | 8.18289 | − | 38.4975i | 0.274755 | − | 1.29262i | −0.596828 | − | 0.802370i | \(-0.703572\pi\) |
0.871582 | − | 0.490249i | \(-0.163094\pi\) | |||||||
\(888\) | −9.09386 | + | 1.93296i | −0.305170 | + | 0.0648659i | ||||
\(889\) | 0.0524181 | + | 0.330955i | 0.00175805 | + | 0.0110999i | ||||
\(890\) | 7.24771 | + | 1.94202i | 0.242944 | + | 0.0650966i | ||||
\(891\) | 3.21633 | + | 0.809456i | 0.107751 | + | 0.0271178i | ||||
\(892\) | 23.7349 | − | 23.7349i | 0.794703 | − | 0.794703i | ||||
\(893\) | −28.1826 | − | 2.96211i | −0.943095 | − | 0.0991233i | ||||
\(894\) | −0.0560385 | + | 0.0504573i | −0.00187421 | + | 0.00168754i | ||||
\(895\) | 43.3107 | − | 28.1263i | 1.44772 | − | 0.940159i | ||||
\(896\) | 6.05750 | + | 8.33743i | 0.202367 | + | 0.278534i | ||||
\(897\) | −11.7354 | + | 0.441085i | −0.391835 | + | 0.0147274i | ||||
\(898\) | −8.86850 | + | 2.88155i | −0.295946 | + | 0.0961586i | ||||
\(899\) | 12.0546 | + | 0.631753i | 0.402042 | + | 0.0210702i | ||||
\(900\) | −8.83429 | + | 3.93328i | −0.294476 | + | 0.131109i | ||||
\(901\) | 1.55757 | + | 2.69780i | 0.0518903 | + | 0.0898766i | ||||
\(902\) | 6.70076 | − | 13.6621i | 0.223111 | − | 0.454897i | ||||
\(903\) | 0.395923 | − | 1.47760i | 0.0131755 | − | 0.0491716i | ||||
\(904\) | −22.1868 | + | 17.9665i | −0.737922 | + | 0.597558i | ||||
\(905\) | −3.39388 | − | 6.66086i | −0.112816 | − | 0.221414i | ||||
\(906\) | 3.40359 | − | 3.78007i | 0.113077 | − | 0.125584i | ||||
\(907\) | 58.8899 | − | 6.18958i | 1.95541 | − | 0.205522i | 0.958561 | − | 0.284887i | \(-0.0919560\pi\) |
0.996846 | + | 0.0793652i | \(0.0252893\pi\) | |||||||
\(908\) | 2.20913 | − | 2.72805i | 0.0733125 | − | 0.0905334i | ||||
\(909\) | −2.50972 | − | 7.72411i | −0.0832420 | − | 0.256193i | ||||
\(910\) | −3.89083 | − | 2.91575i | −0.128980 | − | 0.0966562i | ||||
\(911\) | 14.9689 | + | 10.8755i | 0.495941 | + | 0.360322i | 0.807464 | − | 0.589916i | \(-0.200839\pi\) |
−0.311524 | + | 0.950238i | \(0.600839\pi\) | |||||||
\(912\) | −2.76588 | − | 10.3224i | −0.0915875 | − | 0.341809i | ||||
\(913\) | 10.3095 | − | 52.4203i | 0.341193 | − | 1.73486i | ||||
\(914\) | −3.95960 | + | 2.28608i | −0.130972 | + | 0.0756167i | ||||
\(915\) | 15.1664 | − | 2.40212i | 0.501386 | − | 0.0794117i | ||||
\(916\) | 6.11853 | + | 3.97342i | 0.202162 | + | 0.131285i | ||||
\(917\) | −0.322945 | − | 6.16216i | −0.0106646 | − | 0.203492i | ||||
\(918\) | −0.0382917 | + | 0.241764i | −0.00126381 | + | 0.00797941i | ||||
\(919\) | −0.683903 | + | 1.53607i | −0.0225599 | + | 0.0506704i | −0.924474 | − | 0.381245i | \(-0.875495\pi\) |
0.901914 | + | 0.431915i | \(0.142162\pi\) | |||||||
\(920\) | 17.2862 | + | 3.67429i | 0.569908 | + | 0.121138i | ||||
\(921\) | 0.601417 | − | 11.4757i | 0.0198174 | − | 0.378138i | ||||
\(922\) | 4.92543 | − | 6.77927i | 0.162210 | − | 0.223263i | ||||
\(923\) | 27.2347 | − | 5.36914i | 0.896440 | − | 0.176727i | ||||
\(924\) | 0.0862285 | + | 5.65433i | 0.00283671 | + | 0.186014i | ||||
\(925\) | 28.5653 | − | 7.65404i | 0.939220 | − | 0.251663i | ||||
\(926\) | −0.609151 | − | 1.36818i | −0.0200180 | − | 0.0449611i | ||||
\(927\) | 3.45013 | + | 16.2316i | 0.113317 | + | 0.533115i | ||||
\(928\) | 4.26408 | − | 8.36872i | 0.139975 | − | 0.274717i | ||||
\(929\) | 2.55509 | + | 6.65623i | 0.0838297 | + | 0.218384i | 0.969088 | − | 0.246716i | \(-0.0793516\pi\) |
−0.885258 | + | 0.465100i | \(0.846018\pi\) | |||||||
\(930\) | −3.04757 | − | 7.93920i | −0.0999339 | − | 0.260337i | ||||
\(931\) | 10.3575 | − | 20.3277i | 0.339453 | − | 0.666215i | ||||
\(932\) | 7.19493 | + | 33.8495i | 0.235678 | + | 1.10878i | ||||
\(933\) | −3.48306 | − | 7.82309i | −0.114030 | − | 0.256116i | ||||
\(934\) | 4.11426 | − | 1.10241i | 0.134623 | − | 0.0360720i | ||||
\(935\) | −4.82310 | − | 3.39304i | −0.157732 | − | 0.110964i | ||||
\(936\) | 5.96264 | − | 1.17550i | 0.194895 | − | 0.0384223i | ||||
\(937\) | 13.7911 | − | 18.9818i | 0.450536 | − | 0.620110i | −0.521977 | − | 0.852960i | \(-0.674805\pi\) |
0.972513 | + | 0.232850i | \(0.0748052\pi\) | |||||||
\(938\) | 0.239026 | − | 4.56090i | 0.00780449 | − | 0.148919i | ||||
\(939\) | −2.82159 | − | 0.599747i | −0.0920791 | − | 0.0195720i | ||||
\(940\) | 17.9106 | − | 40.2279i | 0.584180 | − | 1.31209i | ||||
\(941\) | 6.94189 | − | 43.8293i | 0.226299 | − | 1.42880i | −0.568880 | − | 0.822421i | \(-0.692623\pi\) |
0.795179 | − | 0.606375i | \(-0.207377\pi\) | |||||||
\(942\) | −0.0599189 | − | 1.14332i | −0.00195226 | − | 0.0372514i | ||||
\(943\) | 28.2816 | + | 18.3663i | 0.920977 | + | 0.598089i | ||||
\(944\) | −14.8521 | + | 2.35234i | −0.483394 | + | 0.0765621i | ||||
\(945\) | −2.63533 | + | 1.52151i | −0.0857274 | + | 0.0494947i | ||||
\(946\) | 2.36122 | − | 0.284639i | 0.0767699 | − | 0.00925441i | ||||
\(947\) | 2.41367 | + | 9.00795i | 0.0784339 | + | 0.292719i | 0.993990 | − | 0.109471i | \(-0.0349157\pi\) |
−0.915556 | + | 0.402190i | \(0.868249\pi\) | |||||||
\(948\) | 9.45859 | + | 6.87207i | 0.307201 | + | 0.223194i | ||||
\(949\) | −41.3603 | − | 30.9950i | −1.34261 | − | 1.00614i | ||||
\(950\) | −2.74319 | − | 8.44269i | −0.0890010 | − | 0.273917i | ||||
\(951\) | −3.31267 | + | 4.09081i | −0.107421 | + | 0.132654i | ||||
\(952\) | −0.875335 | + | 0.0920014i | −0.0283698 | + | 0.00298178i | ||||
\(953\) | 29.1187 | − | 32.3396i | 0.943247 | − | 1.04758i | −0.0555458 | − | 0.998456i | \(-0.517690\pi\) |
0.998793 | − | 0.0491256i | \(-0.0156435\pi\) | |||||||
\(954\) | 1.13462 | + | 2.22682i | 0.0367348 | + | 0.0720960i | ||||
\(955\) | −45.7090 | + | 37.0144i | −1.47911 | + | 1.19776i | ||||
\(956\) | 0.0877092 | − | 0.327335i | 0.00283672 | − | 0.0105868i | ||||
\(957\) | 5.93642 | − | 3.13968i | 0.191897 | − | 0.101491i | ||||
\(958\) | −7.11746 | − | 12.3278i | −0.229955 | − | 0.398293i | ||||
\(959\) | 13.6475 | − | 6.07627i | 0.440702 | − | 0.196213i | ||||
\(960\) | 11.7811 | + | 0.617422i | 0.380234 | + | 0.0199272i | ||||
\(961\) | −4.31831 | + | 1.40311i | −0.139300 | + | 0.0452615i | ||||
\(962\) | −8.80668 | + | 0.331005i | −0.283939 | + | 0.0106720i | ||||
\(963\) | 5.08202 | + | 6.99481i | 0.163766 | + | 0.225404i | ||||
\(964\) | −37.9354 | + | 24.6355i | −1.22182 | + | 0.793456i | ||||
\(965\) | 8.14777 | − | 7.33629i | 0.262286 | − | 0.236163i | ||||
\(966\) | 1.35703 | + | 0.142629i | 0.0436616 | + | 0.00458902i | ||||
\(967\) | −7.65341 | + | 7.65341i | −0.246117 | + | 0.246117i | −0.819375 | − | 0.573258i | \(-0.805679\pi\) |
0.573258 | + | 0.819375i | \(0.305679\pi\) | |||||||
\(968\) | −17.0991 | + | 7.16932i | −0.549585 | + | 0.230431i | ||||
\(969\) | 1.99340 | + | 0.534131i | 0.0640373 | + | 0.0171587i | ||||
\(970\) | −2.29440 | − | 14.4863i | −0.0736688 | − | 0.465126i | ||||
\(971\) | 13.9996 | − | 2.97570i | 0.449268 | − | 0.0954948i | 0.0222791 | − | 0.999752i | \(-0.492908\pi\) |
0.426989 | + | 0.904257i | \(0.359574\pi\) | |||||||
\(972\) | 0.374994 | − | 1.76421i | 0.0120279 | − | 0.0565869i | ||||
\(973\) | 12.6382 | + | 10.2342i | 0.405161 | + | 0.328093i | ||||
\(974\) | 0.355240 | − | 0.258097i | 0.0113826 | − | 0.00826997i | ||||
\(975\) | −18.7449 | + | 4.72665i | −0.600317 | + | 0.151374i | ||||
\(976\) | −12.9767 | − | 4.21638i | −0.415374 | − | 0.134963i | ||||
\(977\) | 1.62357 | + | 0.623231i | 0.0519427 | + | 0.0199389i | 0.384201 | − | 0.923250i | \(-0.374477\pi\) |
−0.332258 | + | 0.943189i | \(0.607810\pi\) | |||||||
\(978\) | −9.10430 | − | 5.25637i | −0.291123 | − | 0.168080i | ||||
\(979\) | −3.88696 | − | 17.0072i | −0.124228 | − | 0.543554i | ||||
\(980\) | 25.0682 | + | 25.0682i | 0.800775 | + | 0.800775i | ||||
\(981\) | 0.383726 | + | 0.473862i | 0.0122514 | + | 0.0151292i | ||||
\(982\) | −7.13082 | + | 10.9805i | −0.227554 | + | 0.350402i | ||||
\(983\) | 1.29935 | + | 0.662052i | 0.0414428 | + | 0.0211162i | 0.474589 | − | 0.880207i | \(-0.342597\pi\) |
−0.433146 | + | 0.901324i | \(0.642597\pi\) | |||||||
\(984\) | −15.9425 | − | 7.09804i | −0.508227 | − | 0.226277i | ||||
\(985\) | 0.769376 | + | 7.32012i | 0.0245144 | + | 0.233238i | ||||
\(986\) | 0.269939 | + | 0.415670i | 0.00859662 | + | 0.0132376i | ||||
\(987\) | 2.21570 | − | 6.81923i | 0.0705266 | − | 0.217059i | ||||
\(988\) | −2.18200 | − | 24.1984i | −0.0694185 | − | 0.769853i | ||||
\(989\) | 5.27057i | 0.167594i | ||||||||
\(990\) | −3.72171 | − | 2.92095i | −0.118284 | − | 0.0928339i | ||||
\(991\) | −5.74922 | + | 9.95795i | −0.182630 | + | 0.316325i | −0.942775 | − | 0.333428i | \(-0.891794\pi\) |
0.760145 | + | 0.649753i | \(0.225128\pi\) | |||||||
\(992\) | −2.89061 | + | 27.5023i | −0.0917770 | + | 0.873200i | ||||
\(993\) | −10.1605 | + | 5.17705i | −0.322435 | + | 0.164289i | ||||
\(994\) | −3.22088 | + | 0.168799i | −0.102160 | + | 0.00535398i | ||||
\(995\) | 55.4798 | − | 21.2967i | 1.75883 | − | 0.675151i | ||||
\(996\) | −28.6952 | − | 4.54487i | −0.909241 | − | 0.144010i | ||||
\(997\) | −25.3769 | − | 22.8494i | −0.803693 | − | 0.723648i | 0.161020 | − | 0.986951i | \(-0.448522\pi\) |
−0.964713 | + | 0.263303i | \(0.915188\pi\) | |||||||
\(998\) | 7.73759 | + | 8.59346i | 0.244929 | + | 0.272021i | ||||
\(999\) | −1.97664 | + | 5.14932i | −0.0625380 | + | 0.162917i |
(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 | 429.2.bs.b.7.7 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.7 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.7 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.7 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.7 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.7 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.7 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.7 | yes | 224 | 143.41 | even | 60 | inner |