Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
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([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (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: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.6 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −1.34594 | + | 1.09016i | −0.777079 | + | 0.629403i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −2.02703 | − | 0.944001i | −0.906517 | − | 0.422170i | ||||
\(6\) | 1.27061 | + | 1.17710i | 0.518724 | + | 0.480547i | ||||
\(7\) | −1.08447 | + | 0.696948i | −0.409892 | + | 0.263422i | −0.729298 | − | 0.684196i | \(-0.760153\pi\) |
0.319406 | + | 0.947618i | \(0.396517\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 0.623112 | − | 2.93458i | 0.207704 | − | 0.978192i | ||||
\(10\) | −0.645916 | + | 2.14075i | −0.204257 | + | 0.676963i | ||||
\(11\) | 0.894396 | − | 6.22066i | 0.269671 | − | 1.87560i | −0.181831 | − | 0.983330i | \(-0.558202\pi\) |
0.451501 | − | 0.892270i | \(-0.350889\pi\) | |||||||
\(12\) | 0.984288 | − | 1.42519i | 0.284139 | − | 0.411418i | ||||
\(13\) | −1.25371 | + | 1.95081i | −0.347717 | + | 0.541058i | −0.970427 | − | 0.241395i | \(-0.922395\pi\) |
0.622710 | + | 0.782452i | \(0.286032\pi\) | |||||||
\(14\) | 0.844191 | + | 0.974248i | 0.225619 | + | 0.260379i | ||||
\(15\) | 3.75738 | − | 0.939216i | 0.970150 | − | 0.242505i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 0.0693233 | − | 0.236094i | 0.0168134 | − | 0.0572611i | −0.950659 | − | 0.310238i | \(-0.899591\pi\) |
0.967472 | + | 0.252977i | \(0.0814096\pi\) | |||||||
\(18\) | −2.99338 | − | 0.199136i | −0.705547 | − | 0.0469368i | ||||
\(19\) | 1.55224 | + | 5.28644i | 0.356108 | + | 1.21279i | 0.921633 | + | 0.388062i | \(0.126855\pi\) |
−0.565525 | + | 0.824731i | \(0.691326\pi\) | |||||||
\(20\) | 2.21088 | + | 0.334681i | 0.494368 | + | 0.0748370i | ||||
\(21\) | 0.699852 | − | 2.12030i | 0.152720 | − | 0.462687i | ||||
\(22\) | −6.28463 | −1.33989 | ||||||||
\(23\) | −0.433107 | + | 4.77623i | −0.0903091 | + | 0.995914i | ||||
\(24\) | −1.55077 | − | 0.771443i | −0.316549 | − | 0.157470i | ||||
\(25\) | 3.21772 | + | 3.82704i | 0.643545 | + | 0.765409i | ||||
\(26\) | 2.10938 | + | 0.963320i | 0.413683 | + | 0.188923i | ||||
\(27\) | 2.36048 | + | 4.62905i | 0.454274 | + | 0.890862i | ||||
\(28\) | 0.844191 | − | 0.974248i | 0.159537 | − | 0.184116i | ||||
\(29\) | −1.83687 | + | 6.25580i | −0.341098 | + | 1.16167i | 0.593162 | + | 0.805083i | \(0.297879\pi\) |
−0.934261 | + | 0.356591i | \(0.883939\pi\) | |||||||
\(30\) | −1.46439 | − | 3.58547i | −0.267359 | − | 0.654614i | ||||
\(31\) | 3.36003 | + | 7.35743i | 0.603479 | + | 1.32143i | 0.926946 | + | 0.375195i | \(0.122424\pi\) |
−0.323467 | + | 0.946239i | \(0.604849\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 5.57770 | + | 9.34767i | 0.970953 | + | 1.62722i | ||||
\(34\) | −0.243556 | − | 0.0350181i | −0.0417695 | − | 0.00600555i | ||||
\(35\) | 2.85618 | − | 0.388993i | 0.482783 | − | 0.0657519i | ||||
\(36\) | 0.228894 | + | 2.99126i | 0.0381490 | + | 0.498543i | ||||
\(37\) | −0.444500 | − | 0.512980i | −0.0730753 | − | 0.0843334i | 0.718035 | − | 0.696007i | \(-0.245042\pi\) |
−0.791110 | + | 0.611674i | \(0.790496\pi\) | |||||||
\(38\) | 5.01173 | − | 2.28878i | 0.813010 | − | 0.371289i | ||||
\(39\) | −0.439273 | − | 3.99242i | −0.0703399 | − | 0.639299i | ||||
\(40\) | 0.0166338 | − | 2.23601i | 0.00263004 | − | 0.353544i | ||||
\(41\) | −2.46674 | − | 2.13745i | −0.385241 | − | 0.333813i | 0.440613 | − | 0.897697i | \(-0.354761\pi\) |
−0.825854 | + | 0.563884i | \(0.809306\pi\) | |||||||
\(42\) | −2.19831 | − | 0.390979i | −0.339207 | − | 0.0603293i | ||||
\(43\) | 3.28717 | − | 7.19790i | 0.501289 | − | 1.09767i | −0.474759 | − | 0.880116i | \(-0.657465\pi\) |
0.976048 | − | 0.217554i | \(-0.0698079\pi\) | |||||||
\(44\) | 0.894396 | + | 6.22066i | 0.134835 | + | 0.937800i | ||||
\(45\) | −4.03331 | + | 5.36026i | −0.601250 | + | 0.799061i | ||||
\(46\) | 4.78926 | − | 0.251030i | 0.706137 | − | 0.0370124i | ||||
\(47\) | −0.182036 | −0.0265527 | −0.0132764 | − | 0.999912i | \(-0.504226\pi\) | ||||
−0.0132764 | + | 0.999912i | \(0.504226\pi\) | |||||||
\(48\) | −0.542893 | + | 1.64477i | −0.0783599 | + | 0.237402i | ||||
\(49\) | −2.21756 | + | 4.85578i | −0.316795 | + | 0.693683i | ||||
\(50\) | 3.33016 | − | 3.72962i | 0.470956 | − | 0.527447i | ||||
\(51\) | 0.164074 | + | 0.393341i | 0.0229750 | + | 0.0550788i | ||||
\(52\) | 0.653319 | − | 2.22500i | 0.0905991 | − | 0.308552i | ||||
\(53\) | 3.24409 | + | 5.04791i | 0.445611 | + | 0.693384i | 0.989299 | − | 0.145904i | \(-0.0466089\pi\) |
−0.543688 | + | 0.839287i | \(0.682973\pi\) | |||||||
\(54\) | 4.24601 | − | 2.99524i | 0.577808 | − | 0.407600i | ||||
\(55\) | −7.68528 | + | 11.7652i | −1.03628 | + | 1.58642i | ||||
\(56\) | −1.08447 | − | 0.696948i | −0.144919 | − | 0.0931336i | ||||
\(57\) | −7.85228 | − | 5.42305i | −1.04006 | − | 0.718301i | ||||
\(58\) | 6.45354 | + | 0.927879i | 0.847392 | + | 0.121837i | ||||
\(59\) | 5.43699 | − | 8.46012i | 0.707835 | − | 1.10141i | −0.282030 | − | 0.959406i | \(-0.591008\pi\) |
0.989866 | − | 0.142008i | \(-0.0453558\pi\) | |||||||
\(60\) | −3.34057 | + | 1.95975i | −0.431265 | + | 0.253002i | ||||
\(61\) | 2.48161 | − | 1.13331i | 0.317738 | − | 0.145106i | −0.250161 | − | 0.968204i | \(-0.580484\pi\) |
0.567899 | + | 0.823098i | \(0.307756\pi\) | |||||||
\(62\) | 6.80436 | − | 4.37290i | 0.864155 | − | 0.555359i | ||||
\(63\) | 1.36950 | + | 3.61674i | 0.172541 | + | 0.455667i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 4.38288 | − | 2.77085i | 0.543629 | − | 0.343682i | ||||
\(66\) | 8.45874 | − | 6.85124i | 1.04120 | − | 0.843329i | ||||
\(67\) | −0.138700 | − | 0.964679i | −0.0169449 | − | 0.117854i | 0.979593 | − | 0.200990i | \(-0.0644157\pi\) |
−0.996538 | + | 0.0831353i | \(0.973507\pi\) | |||||||
\(68\) | 0.246061i | 0.0298392i | ||||||||
\(69\) | −4.62391 | − | 6.90068i | −0.556654 | − | 0.830745i | ||||
\(70\) | −0.791511 | − | 2.77175i | −0.0946036 | − | 0.331287i | ||||
\(71\) | 7.87233 | − | 1.13187i | 0.934274 | − | 0.134328i | 0.341668 | − | 0.939821i | \(-0.389008\pi\) |
0.592606 | + | 0.805492i | \(0.298099\pi\) | |||||||
\(72\) | 2.92823 | − | 0.652264i | 0.345096 | − | 0.0768700i | ||||
\(73\) | 2.31983 | + | 7.90061i | 0.271516 | + | 0.924697i | 0.976508 | + | 0.215482i | \(0.0691323\pi\) |
−0.704992 | + | 0.709215i | \(0.749050\pi\) | |||||||
\(74\) | −0.444500 | + | 0.512980i | −0.0516720 | + | 0.0596327i | ||||
\(75\) | −8.50294 | − | 1.64315i | −0.981836 | − | 0.189734i | ||||
\(76\) | −2.97873 | − | 4.63499i | −0.341683 | − | 0.531670i | ||||
\(77\) | 3.36553 | + | 7.36948i | 0.383538 | + | 0.839831i | ||||
\(78\) | −3.88927 | + | 1.00298i | −0.440373 | + | 0.113565i | ||||
\(79\) | −1.97047 | + | 3.06611i | −0.221695 | + | 0.344964i | −0.934229 | − | 0.356673i | \(-0.883911\pi\) |
0.712534 | + | 0.701637i | \(0.247547\pi\) | |||||||
\(80\) | −2.21561 | + | 0.301752i | −0.247713 | + | 0.0337369i | ||||
\(81\) | −8.22346 | − | 3.65714i | −0.913718 | − | 0.406349i | ||||
\(82\) | −1.76463 | + | 2.74583i | −0.194871 | + | 0.303226i | ||||
\(83\) | 1.81014 | − | 1.56849i | 0.198688 | − | 0.172164i | −0.549834 | − | 0.835274i | \(-0.685309\pi\) |
0.748522 | + | 0.663109i | \(0.230764\pi\) | |||||||
\(84\) | −0.0741465 | + | 2.23158i | −0.00809004 | + | 0.243485i | ||||
\(85\) | −0.363393 | + | 0.413128i | −0.0394155 | + | 0.0448100i | ||||
\(86\) | −7.59245 | − | 2.22934i | −0.818715 | − | 0.240396i | ||||
\(87\) | −4.34750 | − | 10.4224i | −0.466100 | − | 1.11740i | ||||
\(88\) | 6.03006 | − | 1.77059i | 0.642806 | − | 0.188745i | ||||
\(89\) | −7.11816 | + | 15.5866i | −0.754524 | + | 1.65218i | 0.00353850 | + | 0.999994i | \(0.498874\pi\) |
−0.758062 | + | 0.652182i | \(0.773854\pi\) | |||||||
\(90\) | 5.87970 | + | 3.22941i | 0.619775 | + | 0.340410i | ||||
\(91\) | − | 2.98937i | − | 0.313371i | ||||||
\(92\) | −0.930058 | − | 4.70478i | −0.0969652 | − | 0.490508i | ||||
\(93\) | −12.5432 | − | 6.23971i | −1.30066 | − | 0.647027i | ||||
\(94\) | 0.0259065 | + | 0.180183i | 0.00267205 | + | 0.0185845i | ||||
\(95\) | 1.84397 | − | 12.1811i | 0.189187 | − | 1.24976i | ||||
\(96\) | 1.70529 | + | 0.303292i | 0.174045 | + | 0.0309547i | ||||
\(97\) | 5.26602 | − | 6.07732i | 0.534684 | − | 0.617058i | −0.422562 | − | 0.906334i | \(-0.638869\pi\) |
0.957246 | + | 0.289276i | \(0.0934146\pi\) | |||||||
\(98\) | 5.12195 | + | 1.50394i | 0.517395 | + | 0.151921i | ||||
\(99\) | −17.6977 | − | 6.50084i | −1.77869 | − | 0.653359i | ||||
\(100\) | −4.16559 | − | 2.76548i | −0.416559 | − | 0.276548i | ||||
\(101\) | −8.69786 | + | 7.53674i | −0.865469 | + | 0.749933i | −0.969617 | − | 0.244629i | \(-0.921334\pi\) |
0.104148 | + | 0.994562i | \(0.466789\pi\) | |||||||
\(102\) | 0.365987 | − | 0.218382i | 0.0362381 | − | 0.0216231i | ||||
\(103\) | −1.26519 | + | 8.79960i | −0.124663 | + | 0.867050i | 0.827501 | + | 0.561464i | \(0.189762\pi\) |
−0.952164 | + | 0.305586i | \(0.901148\pi\) | |||||||
\(104\) | −2.29533 | − | 0.330019i | −0.225076 | − | 0.0323610i | ||||
\(105\) | −3.42019 | + | 3.63725i | −0.333776 | + | 0.354959i | ||||
\(106\) | 4.53485 | − | 3.92947i | 0.440463 | − | 0.381664i | ||||
\(107\) | 13.4769 | − | 6.15471i | 1.30287 | − | 0.594999i | 0.361495 | − | 0.932374i | \(-0.382266\pi\) |
0.941370 | + | 0.337375i | \(0.109539\pi\) | |||||||
\(108\) | −3.56902 | − | 3.77652i | −0.343429 | − | 0.363396i | ||||
\(109\) | 2.90431 | − | 9.89119i | 0.278183 | − | 0.947404i | −0.695314 | − | 0.718706i | \(-0.744735\pi\) |
0.973497 | − | 0.228698i | \(-0.0734469\pi\) | |||||||
\(110\) | 12.7392 | + | 5.93270i | 1.21463 | + | 0.565661i | ||||
\(111\) | 1.15750 | + | 0.205866i | 0.109865 | + | 0.0195399i | ||||
\(112\) | −0.535518 | + | 1.17262i | −0.0506017 | + | 0.110802i | ||||
\(113\) | −3.59329 | + | 0.516638i | −0.338029 | + | 0.0486012i | −0.309239 | − | 0.950984i | \(-0.600074\pi\) |
−0.0287895 | + | 0.999585i | \(0.509165\pi\) | |||||||
\(114\) | −4.25036 | + | 8.54414i | −0.398083 | + | 0.800232i | ||||
\(115\) | 5.38669 | − | 9.27273i | 0.502312 | − | 0.864687i | ||||
\(116\) | − | 6.51991i | − | 0.605358i | ||||||
\(117\) | 4.94360 | + | 4.89468i | 0.457036 | + | 0.452513i | ||||
\(118\) | −9.14777 | − | 4.17765i | −0.842120 | − | 0.384583i | ||||
\(119\) | 0.0893657 | + | 0.304352i | 0.00819214 | + | 0.0278999i | ||||
\(120\) | 2.41521 | + | 3.02766i | 0.220478 | + | 0.276387i | ||||
\(121\) | −27.3423 | − | 8.02842i | −2.48566 | − | 0.729856i | ||||
\(122\) | −1.47495 | − | 2.29507i | −0.133536 | − | 0.207785i | ||||
\(123\) | 5.65024 | + | 0.187735i | 0.509465 | + | 0.0169275i | ||||
\(124\) | −5.29675 | − | 6.11278i | −0.475662 | − | 0.548943i | ||||
\(125\) | −2.90970 | − | 10.7951i | −0.260251 | − | 0.965541i | ||||
\(126\) | 3.38503 | − | 1.87028i | 0.301562 | − | 0.166617i | ||||
\(127\) | 12.7204 | + | 1.82891i | 1.12875 | + | 0.162290i | 0.681290 | − | 0.732014i | \(-0.261419\pi\) |
0.447461 | + | 0.894304i | \(0.352328\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 3.42251 | + | 13.2715i | 0.301335 | + | 1.16849i | ||||
\(130\) | −3.36640 | − | 3.94394i | −0.295253 | − | 0.345906i | ||||
\(131\) | 10.6094 | + | 16.5086i | 0.926951 | + | 1.44236i | 0.896608 | + | 0.442824i | \(0.146023\pi\) |
0.0303425 | + | 0.999540i | \(0.490340\pi\) | |||||||
\(132\) | −7.98531 | − | 7.39761i | −0.695032 | − | 0.643879i | ||||
\(133\) | −5.36774 | − | 4.65117i | −0.465442 | − | 0.403308i | ||||
\(134\) | −0.935121 | + | 0.274576i | −0.0807822 | + | 0.0237198i | ||||
\(135\) | −0.414934 | − | 11.6115i | −0.0357118 | − | 0.999362i | ||||
\(136\) | 0.243556 | − | 0.0350181i | 0.0208848 | − | 0.00300278i | ||||
\(137\) | 7.93214i | 0.677688i | 0.940843 | + | 0.338844i | \(0.110036\pi\) | ||||
−0.940843 | + | 0.338844i | \(0.889964\pi\) | |||||||
\(138\) | −6.17239 | + | 5.55892i | −0.525429 | + | 0.473207i | ||||
\(139\) | 7.60519 | 0.645064 | 0.322532 | − | 0.946559i | \(-0.395466\pi\) | ||||
0.322532 | + | 0.946559i | \(0.395466\pi\) | |||||||
\(140\) | −2.63089 | + | 1.17792i | −0.222351 | + | 0.0995520i | ||||
\(141\) | 0.245010 | − | 0.198448i | 0.0206336 | − | 0.0167124i | ||||
\(142\) | −2.24070 | − | 7.63112i | −0.188035 | − | 0.640389i | ||||
\(143\) | 11.0140 | + | 9.54371i | 0.921039 | + | 0.798085i | ||||
\(144\) | −1.06236 | − | 2.80560i | −0.0885297 | − | 0.233800i | ||||
\(145\) | 9.62888 | − | 10.9467i | 0.799635 | − | 0.909075i | ||||
\(146\) | 7.49005 | − | 3.42059i | 0.619881 | − | 0.283090i | ||||
\(147\) | −2.30886 | − | 8.95309i | −0.190432 | − | 0.738438i | ||||
\(148\) | 0.571017 | + | 0.366971i | 0.0469373 | + | 0.0301648i | ||||
\(149\) | −0.597972 | + | 4.15899i | −0.0489878 | + | 0.340718i | 0.950557 | + | 0.310550i | \(0.100513\pi\) |
−0.999545 | + | 0.0301676i | \(0.990396\pi\) | |||||||
\(150\) | −0.416325 | + | 8.65024i | −0.0339928 | + | 0.706289i | ||||
\(151\) | −3.33889 | − | 2.14577i | −0.271715 | − | 0.174620i | 0.397687 | − | 0.917521i | \(-0.369813\pi\) |
−0.669402 | + | 0.742901i | \(0.733449\pi\) | |||||||
\(152\) | −4.16390 | + | 3.60804i | −0.337737 | + | 0.292650i | ||||
\(153\) | −0.649638 | − | 0.350547i | −0.0525201 | − | 0.0283401i | ||||
\(154\) | 6.81551 | − | 4.38006i | 0.549209 | − | 0.352955i | ||||
\(155\) | 0.134541 | − | 18.0856i | 0.0108066 | − | 1.45267i | ||||
\(156\) | 1.54627 | + | 3.70694i | 0.123801 | + | 0.296793i | ||||
\(157\) | −5.56583 | + | 1.63428i | −0.444202 | + | 0.130429i | −0.496182 | − | 0.868219i | \(-0.665265\pi\) |
0.0519798 | + | 0.998648i | \(0.483447\pi\) | |||||||
\(158\) | 3.31532 | + | 1.51406i | 0.263753 | + | 0.120452i | ||||
\(159\) | −9.86938 | − | 3.25761i | −0.782693 | − | 0.258345i | ||||
\(160\) | 0.613996 | + | 2.15012i | 0.0485406 | + | 0.169982i | ||||
\(161\) | −2.85909 | − | 5.48155i | −0.225328 | − | 0.432006i | ||||
\(162\) | −2.44959 | + | 8.66022i | −0.192458 | + | 0.680412i | ||||
\(163\) | −7.37131 | + | 1.05983i | −0.577365 | + | 0.0830126i | −0.424810 | − | 0.905282i | \(-0.639659\pi\) |
−0.152555 | + | 0.988295i | \(0.548750\pi\) | |||||||
\(164\) | 2.96901 | + | 1.35590i | 0.231841 | + | 0.105878i | ||||
\(165\) | −2.48196 | − | 24.2134i | −0.193221 | − | 1.88501i | ||||
\(166\) | −1.81014 | − | 1.56849i | −0.140494 | − | 0.121739i | ||||
\(167\) | −21.9863 | − | 6.45577i | −1.70135 | − | 0.499562i | −0.720359 | − | 0.693601i | \(-0.756023\pi\) |
−0.980994 | + | 0.194039i | \(0.937841\pi\) | |||||||
\(168\) | 2.21942 | − | 0.244195i | 0.171232 | − | 0.0188401i | ||||
\(169\) | 3.16652 | + | 6.93371i | 0.243578 | + | 0.533362i | ||||
\(170\) | 0.460639 | + | 0.300900i | 0.0353294 | + | 0.0230780i | ||||
\(171\) | 16.4807 | − | 1.26112i | 1.26031 | − | 0.0964401i | ||||
\(172\) | −1.12613 | + | 7.83244i | −0.0858670 | + | 0.597218i | ||||
\(173\) | −2.83697 | + | 19.7316i | −0.215691 | + | 1.50016i | 0.538006 | + | 0.842941i | \(0.319178\pi\) |
−0.753697 | + | 0.657222i | \(0.771732\pi\) | |||||||
\(174\) | −9.69762 | + | 5.78651i | −0.735175 | + | 0.438674i | ||||
\(175\) | −6.15678 | − | 1.90774i | −0.465409 | − | 0.144211i | ||||
\(176\) | −2.61073 | − | 5.71670i | −0.196791 | − | 0.430913i | ||||
\(177\) | 1.90500 | + | 17.3140i | 0.143189 | + | 1.30140i | ||||
\(178\) | 16.4410 | + | 4.82750i | 1.23230 | + | 0.361837i | ||||
\(179\) | −16.8971 | − | 14.6414i | −1.26295 | − | 1.09435i | −0.991254 | − | 0.131969i | \(-0.957870\pi\) |
−0.271696 | − | 0.962383i | \(-0.587584\pi\) | |||||||
\(180\) | 2.35977 | − | 6.27945i | 0.175887 | − | 0.468042i | ||||
\(181\) | 4.91707 | + | 2.24555i | 0.365483 | + | 0.166910i | 0.589687 | − | 0.807632i | \(-0.299251\pi\) |
−0.224204 | + | 0.974542i | \(0.571978\pi\) | |||||||
\(182\) | −2.95894 | + | 0.425432i | −0.219332 | + | 0.0315351i | ||||
\(183\) | −2.10461 | + | 4.23072i | −0.155577 | + | 0.312744i | ||||
\(184\) | −4.52454 | + | 1.59015i | −0.333553 | + | 0.117228i | ||||
\(185\) | 0.416762 | + | 1.45944i | 0.0306409 | + | 0.107300i | ||||
\(186\) | −4.39112 | + | 13.3035i | −0.321972 | + | 0.975459i | ||||
\(187\) | −1.40666 | − | 0.642398i | −0.102865 | − | 0.0469768i | ||||
\(188\) | 0.174663 | − | 0.0512856i | 0.0127386 | − | 0.00374038i | ||||
\(189\) | −5.78608 | − | 3.37495i | −0.420876 | − | 0.245492i | ||||
\(190\) | −12.3196 | − | 0.0916462i | −0.893754 | − | 0.00664872i | ||||
\(191\) | −19.6467 | + | 12.6261i | −1.42158 | + | 0.913595i | −0.421605 | + | 0.906780i | \(0.638533\pi\) |
−0.999977 | + | 0.00681553i | \(0.997831\pi\) | |||||||
\(192\) | 0.0575173 | − | 1.73110i | 0.00415096 | − | 0.124931i | ||||
\(193\) | 4.12080 | − | 3.57070i | 0.296622 | − | 0.257024i | −0.493816 | − | 0.869566i | \(-0.664398\pi\) |
0.790438 | + | 0.612542i | \(0.209853\pi\) | |||||||
\(194\) | −6.76489 | − | 4.34753i | −0.485691 | − | 0.312135i | ||||
\(195\) | −2.87843 | + | 8.50744i | −0.206129 | + | 0.609230i | ||||
\(196\) | 0.759703 | − | 5.28385i | 0.0542645 | − | 0.377418i | ||||
\(197\) | 2.40604 | + | 1.54627i | 0.171423 | + | 0.110167i | 0.623539 | − | 0.781792i | \(-0.285694\pi\) |
−0.452116 | + | 0.891959i | \(0.649331\pi\) | |||||||
\(198\) | −3.91603 | + | 18.4427i | −0.278300 | + | 1.31067i | ||||
\(199\) | 12.8219 | − | 5.85556i | 0.908919 | − | 0.415089i | 0.0946055 | − | 0.995515i | \(-0.469841\pi\) |
0.814313 | + | 0.580426i | \(0.197114\pi\) | |||||||
\(200\) | −2.14451 | + | 4.51676i | −0.151640 | + | 0.319383i | ||||
\(201\) | 1.23833 | + | 1.14720i | 0.0873454 | + | 0.0809170i | ||||
\(202\) | 8.69786 | + | 7.53674i | 0.611979 | + | 0.530283i | ||||
\(203\) | −2.36794 | − | 8.06445i | −0.166197 | − | 0.566013i | ||||
\(204\) | −0.268245 | − | 0.331183i | −0.0187809 | − | 0.0231875i | ||||
\(205\) | 2.98242 | + | 6.66128i | 0.208301 | + | 0.465244i | ||||
\(206\) | 8.89009 | 0.619402 | ||||||||
\(207\) | 13.7463 | + | 4.24711i | 0.955437 | + | 0.295195i | ||||
\(208\) | 2.31893i | 0.160789i | ||||||||
\(209\) | 34.2735 | − | 4.92779i | 2.37075 | − | 0.340862i | ||||
\(210\) | 4.08697 | + | 2.86774i | 0.282028 | + | 0.197893i | ||||
\(211\) | −20.6808 | + | 6.07243i | −1.42372 | + | 0.418043i | −0.900762 | − | 0.434313i | \(-0.856991\pi\) |
−0.522962 | + | 0.852356i | \(0.675173\pi\) | |||||||
\(212\) | −4.53485 | − | 3.92947i | −0.311455 | − | 0.269877i | ||||
\(213\) | −9.36177 | + | 10.1055i | −0.641458 | + | 0.692418i | ||||
\(214\) | −8.01004 | − | 12.4639i | −0.547555 | − | 0.852012i | ||||
\(215\) | −13.4580 | + | 11.4873i | −0.917830 | + | 0.783427i | ||||
\(216\) | −3.23016 | + | 4.07015i | −0.219784 | + | 0.276938i | ||||
\(217\) | −8.77160 | − | 5.63717i | −0.595455 | − | 0.382676i | ||||
\(218\) | −10.2038 | − | 1.46709i | −0.691091 | − | 0.0993639i | ||||
\(219\) | −11.7353 | − | 8.10478i | −0.792996 | − | 0.547670i | ||||
\(220\) | 4.05934 | − | 13.4538i | 0.273681 | − | 0.907055i | ||||
\(221\) | 0.373663 | + | 0.431230i | 0.0251353 | + | 0.0290076i | ||||
\(222\) | 0.0390410 | − | 1.17502i | 0.00262026 | − | 0.0788619i | ||||
\(223\) | −3.09550 | − | 4.81670i | −0.207290 | − | 0.322550i | 0.722005 | − | 0.691888i | \(-0.243221\pi\) |
−0.929295 | + | 0.369338i | \(0.879584\pi\) | |||||||
\(224\) | 1.23690 | + | 0.363186i | 0.0826436 | + | 0.0242664i | ||||
\(225\) | 13.2357 | − | 7.05798i | 0.882383 | − | 0.470532i | ||||
\(226\) | 1.02276 | + | 3.48319i | 0.0680329 | + | 0.231699i | ||||
\(227\) | 3.34827 | + | 1.52911i | 0.222233 | + | 0.101490i | 0.523420 | − | 0.852075i | \(-0.324656\pi\) |
−0.301188 | + | 0.953565i | \(0.597383\pi\) | |||||||
\(228\) | 9.06206 | + | 2.99114i | 0.600150 | + | 0.198093i | ||||
\(229\) | 15.5478i | 1.02743i | 0.857961 | + | 0.513714i | \(0.171731\pi\) | ||||
−0.857961 | + | 0.513714i | \(0.828269\pi\) | |||||||
\(230\) | −9.94495 | − | 4.01222i | −0.655751 | − | 0.264558i | ||||
\(231\) | −12.5637 | − | 6.24993i | −0.826631 | − | 0.411215i | ||||
\(232\) | −6.45354 | + | 0.927879i | −0.423696 | + | 0.0609183i | ||||
\(233\) | −6.70270 | + | 14.6769i | −0.439108 | + | 0.961513i | 0.552653 | + | 0.833412i | \(0.313616\pi\) |
−0.991761 | + | 0.128101i | \(0.959112\pi\) | |||||||
\(234\) | 4.14131 | − | 5.58987i | 0.270726 | − | 0.365421i | ||||
\(235\) | 0.368994 | + | 0.171842i | 0.0240705 | + | 0.0112098i | ||||
\(236\) | −2.83326 | + | 9.64920i | −0.184430 | + | 0.628109i | ||||
\(237\) | −0.690408 | − | 6.27491i | −0.0448468 | − | 0.407600i | ||||
\(238\) | 0.288536 | − | 0.131770i | 0.0187030 | − | 0.00854137i | ||||
\(239\) | 14.7856 | − | 12.8118i | 0.956398 | − | 0.828724i | −0.0288972 | − | 0.999582i | \(-0.509200\pi\) |
0.985296 | + | 0.170858i | \(0.0546541\pi\) | |||||||
\(240\) | 2.65313 | − | 2.82151i | 0.171259 | − | 0.182128i | ||||
\(241\) | −8.77817 | − | 1.26211i | −0.565452 | − | 0.0812997i | −0.146340 | − | 0.989234i | \(-0.546749\pi\) |
−0.419112 | + | 0.907935i | \(0.637658\pi\) | |||||||
\(242\) | −4.05549 | + | 28.2065i | −0.260697 | + | 1.81318i | ||||
\(243\) | 15.0551 | − | 4.04258i | 0.965788 | − | 0.259332i | ||||
\(244\) | −2.06180 | + | 1.78656i | −0.131993 | + | 0.114373i | ||||
\(245\) | 9.07893 | − | 7.74945i | 0.580032 | − | 0.495094i | ||||
\(246\) | −0.618289 | − | 5.61945i | −0.0394207 | − | 0.358283i | ||||
\(247\) | −12.2589 | − | 3.59954i | −0.780016 | − | 0.229033i | ||||
\(248\) | −5.29675 | + | 6.11278i | −0.336344 | + | 0.388162i | ||||
\(249\) | −0.726432 | + | 4.08443i | −0.0460358 | + | 0.258840i | ||||
\(250\) | −10.2711 | + | 4.41638i | −0.649602 | + | 0.279316i | ||||
\(251\) | 1.86497 | + | 12.9712i | 0.117716 | + | 0.818734i | 0.960060 | + | 0.279794i | \(0.0902660\pi\) |
−0.842344 | + | 0.538940i | \(0.818825\pi\) | |||||||
\(252\) | −2.33298 | − | 3.08441i | −0.146964 | − | 0.194299i | ||||
\(253\) | 29.3240 | + | 6.96606i | 1.84358 | + | 0.437952i | ||||
\(254\) | − | 12.8512i | − | 0.806355i | ||||||
\(255\) | 0.0387309 | − | 0.952202i | 0.00242542 | − | 0.0596292i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 0.0327583 | − | 0.00961870i | 0.00204341 | − | 0.000599998i | −0.280711 | − | 0.959792i | \(-0.590570\pi\) |
0.282754 | + | 0.959192i | \(0.408752\pi\) | |||||||
\(258\) | 12.6493 | − | 5.27640i | 0.787513 | − | 0.328495i | ||||
\(259\) | 0.839568 | + | 0.246519i | 0.0521682 | + | 0.0153180i | ||||
\(260\) | −3.42470 | + | 3.89342i | −0.212391 | + | 0.241459i | ||||
\(261\) | 17.2136 | + | 9.28850i | 1.06549 | + | 0.574944i | ||||
\(262\) | 14.8307 | − | 12.8509i | 0.916243 | − | 0.793929i | ||||
\(263\) | 0.153594 | − | 0.238997i | 0.00947100 | − | 0.0147372i | −0.836486 | − | 0.547989i | \(-0.815394\pi\) |
0.845957 | + | 0.533251i | \(0.179030\pi\) | |||||||
\(264\) | −6.18588 | + | 8.95682i | −0.380715 | + | 0.551254i | ||||
\(265\) | −1.81065 | − | 13.2947i | −0.111228 | − | 0.816687i | ||||
\(266\) | −3.83992 | + | 5.97503i | −0.235441 | + | 0.366353i | ||||
\(267\) | −7.41123 | − | 28.7386i | −0.453560 | − | 1.75877i | ||||
\(268\) | 0.404863 | + | 0.886527i | 0.0247310 | + | 0.0541532i | ||||
\(269\) | −13.2214 | − | 20.5729i | −0.806123 | − | 1.25435i | −0.963738 | − | 0.266851i | \(-0.914017\pi\) |
0.157615 | − | 0.987501i | \(-0.449619\pi\) | |||||||
\(270\) | −11.4343 | + | 2.06320i | −0.695869 | + | 0.125563i | ||||
\(271\) | 0.830102 | − | 0.957988i | 0.0504251 | − | 0.0581936i | −0.729977 | − | 0.683472i | \(-0.760469\pi\) |
0.780402 | + | 0.625278i | \(0.215015\pi\) | |||||||
\(272\) | −0.0693233 | − | 0.236094i | −0.00420334 | − | 0.0143153i | ||||
\(273\) | 3.25889 | + | 4.02352i | 0.197237 | + | 0.243514i | ||||
\(274\) | 7.85140 | − | 1.12886i | 0.474320 | − | 0.0681970i | ||||
\(275\) | 26.6847 | − | 16.5935i | 1.60915 | − | 1.00062i | ||||
\(276\) | 6.38076 | + | 5.31845i | 0.384077 | + | 0.320133i | ||||
\(277\) | 28.7488i | 1.72735i | 0.504050 | + | 0.863675i | \(0.331843\pi\) | ||||
−0.504050 | + | 0.863675i | \(0.668157\pi\) | |||||||
\(278\) | −1.08233 | − | 7.52778i | −0.0649139 | − | 0.451486i | ||||
\(279\) | 23.6846 | − | 5.27575i | 1.41796 | − | 0.315851i | ||||
\(280\) | 1.54034 | + | 2.43648i | 0.0920530 | + | 0.145608i | ||||
\(281\) | −8.76713 | + | 10.1178i | −0.523003 | + | 0.603577i | −0.954380 | − | 0.298594i | \(-0.903482\pi\) |
0.431377 | + | 0.902172i | \(0.358028\pi\) | |||||||
\(282\) | −0.231297 | − | 0.214274i | −0.0137735 | − | 0.0127598i | ||||
\(283\) | 11.5584 | − | 7.42815i | 0.687077 | − | 0.441558i | −0.149968 | − | 0.988691i | \(-0.547917\pi\) |
0.837046 | + | 0.547133i | \(0.184281\pi\) | |||||||
\(284\) | −7.23456 | + | 3.30391i | −0.429292 | + | 0.196051i | ||||
\(285\) | 10.7975 | + | 18.4053i | 0.639587 | + | 1.09023i | ||||
\(286\) | 7.87911 | − | 12.2601i | 0.465901 | − | 0.724957i | ||||
\(287\) | 4.16480 | + | 0.598808i | 0.245841 | + | 0.0353465i | ||||
\(288\) | −2.62586 | + | 1.45082i | −0.154730 | + | 0.0854905i | ||||
\(289\) | 14.2504 | + | 9.15816i | 0.838257 | + | 0.538715i | ||||
\(290\) | −12.2056 | − | 7.97299i | −0.716739 | − | 0.468190i | ||||
\(291\) | −0.462522 | + | 13.9205i | −0.0271135 | + | 0.816034i | ||||
\(292\) | −4.45172 | − | 6.92701i | −0.260517 | − | 0.405373i | ||||
\(293\) | 6.72038 | − | 22.8875i | 0.392609 | − | 1.33710i | −0.491930 | − | 0.870635i | \(-0.663708\pi\) |
0.884538 | − | 0.466467i | \(-0.154474\pi\) | |||||||
\(294\) | −8.53337 | + | 3.55952i | −0.497676 | + | 0.207595i | ||||
\(295\) | −19.0073 | + | 12.0164i | −1.10665 | + | 0.699623i | ||||
\(296\) | 0.281971 | − | 0.617431i | 0.0163892 | − | 0.0358874i | ||||
\(297\) | 30.9070 | − | 10.5435i | 1.79341 | − | 0.611798i | ||||
\(298\) | 4.20175 | 0.243401 | ||||||||
\(299\) | −8.77454 | − | 6.83293i | −0.507445 | − | 0.395158i | ||||
\(300\) | 8.62144 | − | 0.818970i | 0.497759 | − | 0.0472832i | ||||
\(301\) | 1.45172 | + | 10.0969i | 0.0836756 | + | 0.581976i | ||||
\(302\) | −1.64876 | + | 3.61028i | −0.0948753 | + | 0.207748i | ||||
\(303\) | 3.49057 | − | 19.6260i | 0.200528 | − | 1.12749i | ||||
\(304\) | 4.16390 | + | 3.60804i | 0.238816 | + | 0.206935i | ||||
\(305\) | −6.10016 | − | 0.0453796i | −0.349294 | − | 0.00259843i | ||||
\(306\) | −0.254526 | + | 0.692914i | −0.0145503 | + | 0.0396112i | ||||
\(307\) | −11.3141 | + | 5.16696i | −0.645728 | + | 0.294894i | −0.711231 | − | 0.702958i | \(-0.751862\pi\) |
0.0655033 | + | 0.997852i | \(0.479135\pi\) | |||||||
\(308\) | −5.30543 | − | 6.12279i | −0.302305 | − | 0.348878i | ||||
\(309\) | −7.89008 | − | 13.2230i | −0.448851 | − | 0.752230i | ||||
\(310\) | −17.9207 | + | 2.44068i | −1.01783 | + | 0.138621i | ||||
\(311\) | 12.5793 | + | 1.80863i | 0.713305 | + | 0.102558i | 0.489408 | − | 0.872055i | \(-0.337213\pi\) |
0.223897 | + | 0.974613i | \(0.428122\pi\) | |||||||
\(312\) | 3.44915 | − | 2.05809i | 0.195270 | − | 0.116516i | ||||
\(313\) | −1.20283 | − | 1.38814i | −0.0679879 | − | 0.0784622i | 0.720737 | − | 0.693209i | \(-0.243804\pi\) |
−0.788725 | + | 0.614747i | \(0.789258\pi\) | |||||||
\(314\) | 2.40974 | + | 5.27660i | 0.135990 | + | 0.297776i | ||||
\(315\) | 0.638190 | − | 8.62406i | 0.0359579 | − | 0.485911i | ||||
\(316\) | 1.02683 | − | 3.49705i | 0.0577635 | − | 0.196724i | ||||
\(317\) | 0.159009 | − | 0.183506i | 0.00893083 | − | 0.0103067i | −0.751267 | − | 0.659999i | \(-0.770557\pi\) |
0.760197 | + | 0.649692i | \(0.225102\pi\) | |||||||
\(318\) | −1.81990 | + | 10.2325i | −0.102055 | + | 0.573812i | ||||
\(319\) | 37.2724 | + | 17.0217i | 2.08685 | + | 0.953033i | ||||
\(320\) | 2.04085 | − | 0.913740i | 0.114087 | − | 0.0510796i | ||||
\(321\) | −11.4296 | + | 22.9759i | −0.637936 | + | 1.28239i | ||||
\(322\) | −5.01886 | + | 3.61010i | −0.279690 | + | 0.201183i | ||||
\(323\) | 1.35570 | 0.0754333 | ||||||||
\(324\) | 8.92069 | + | 1.19218i | 0.495594 | + | 0.0662323i | ||||
\(325\) | −11.4999 | + | 1.47917i | −0.637902 | + | 0.0820495i | ||||
\(326\) | 2.09809 | + | 7.14545i | 0.116203 | + | 0.395750i | ||||
\(327\) | 6.87392 | + | 16.4791i | 0.380129 | + | 0.911297i | ||||
\(328\) | 0.919566 | − | 3.13176i | 0.0507746 | − | 0.172922i | ||||
\(329\) | 0.197413 | − | 0.126870i | 0.0108837 | − | 0.00699456i | ||||
\(330\) | −23.6137 | + | 5.90263i | −1.29989 | + | 0.324929i | ||||
\(331\) | −7.53043 | − | 8.69058i | −0.413910 | − | 0.477677i | 0.510062 | − | 0.860138i | \(-0.329622\pi\) |
−0.923972 | + | 0.382460i | \(0.875077\pi\) | |||||||
\(332\) | −1.29492 | + | 2.01493i | −0.0710679 | + | 0.110584i | ||||
\(333\) | −1.78235 | + | 0.984774i | −0.0976722 | + | 0.0539653i | ||||
\(334\) | −3.26108 | + | 22.6813i | −0.178438 | + | 1.24107i | ||||
\(335\) | −0.629509 | + | 2.08637i | −0.0343938 | + | 0.113991i | ||||
\(336\) | −0.557566 | − | 2.16208i | −0.0304177 | − | 0.117951i | ||||
\(337\) | −11.1770 | − | 24.4741i | −0.608848 | − | 1.33319i | −0.923359 | − | 0.383938i | \(-0.874568\pi\) |
0.314511 | − | 0.949254i | \(-0.398160\pi\) | |||||||
\(338\) | 6.41249 | − | 4.12106i | 0.348794 | − | 0.224156i | ||||
\(339\) | 4.27314 | − | 4.61262i | 0.232085 | − | 0.250523i | ||||
\(340\) | 0.232282 | − | 0.498773i | 0.0125972 | − | 0.0270498i | ||||
\(341\) | 48.7733 | − | 14.3211i | 2.64122 | − | 0.775533i | ||||
\(342\) | −3.59373 | − | 16.1335i | −0.194327 | − | 0.872398i | ||||
\(343\) | −2.26356 | − | 15.7434i | −0.122221 | − | 0.850066i | ||||
\(344\) | 7.91298 | 0.426639 | ||||||||
\(345\) | 2.85857 | + | 18.3529i | 0.153900 | + | 0.988086i | ||||
\(346\) | 19.9345 | 1.07168 | ||||||||
\(347\) | −4.13815 | − | 28.7814i | −0.222147 | − | 1.54507i | −0.729893 | − | 0.683561i | \(-0.760430\pi\) |
0.507746 | − | 0.861507i | \(-0.330479\pi\) | |||||||
\(348\) | 7.10773 | + | 8.77541i | 0.381014 | + | 0.470411i | ||||
\(349\) | 24.8039 | − | 7.28308i | 1.32772 | − | 0.389854i | 0.460449 | − | 0.887686i | \(-0.347688\pi\) |
0.867274 | + | 0.497832i | \(0.165870\pi\) | |||||||
\(350\) | −1.01212 | + | 6.36561i | −0.0540999 | + | 0.340256i | ||||
\(351\) | −11.9898 | − | 1.19865i | −0.639967 | − | 0.0639790i | ||||
\(352\) | −5.28697 | + | 3.39773i | −0.281796 | + | 0.181100i | ||||
\(353\) | 15.1427 | + | 33.1580i | 0.805967 | + | 1.76482i | 0.623851 | + | 0.781544i | \(0.285567\pi\) |
0.182116 | + | 0.983277i | \(0.441705\pi\) | |||||||
\(354\) | 16.8666 | − | 4.34965i | 0.896452 | − | 0.231181i | ||||
\(355\) | −17.0260 | − | 5.13715i | −0.903644 | − | 0.272652i | ||||
\(356\) | 2.43857 | − | 16.9606i | 0.129244 | − | 0.898913i | ||||
\(357\) | −0.452072 | − | 0.312216i | −0.0239262 | − | 0.0165242i | ||||
\(358\) | −12.0877 | + | 18.8088i | −0.638855 | + | 0.994077i | ||||
\(359\) | 19.8702 | + | 22.9315i | 1.04871 | + | 1.21028i | 0.977086 | + | 0.212844i | \(0.0682727\pi\) |
0.0716239 | + | 0.997432i | \(0.477182\pi\) | |||||||
\(360\) | −6.55136 | − | 1.44210i | −0.345287 | − | 0.0760051i | ||||
\(361\) | −9.55323 | + | 6.13949i | −0.502802 | + | 0.323131i | ||||
\(362\) | 1.52292 | − | 5.18659i | 0.0800429 | − | 0.272601i | ||||
\(363\) | 45.5533 | − | 19.0016i | 2.39093 | − | 0.997326i | ||||
\(364\) | 0.842203 | + | 2.86828i | 0.0441435 | + | 0.150339i | ||||
\(365\) | 2.75582 | − | 18.2047i | 0.144246 | − | 0.952879i | ||||
\(366\) | 4.48718 | + | 1.48109i | 0.234549 | + | 0.0774181i | ||||
\(367\) | 30.6724 | 1.60109 | 0.800543 | − | 0.599275i | \(-0.204544\pi\) | ||||
0.800543 | + | 0.599275i | \(0.204544\pi\) | |||||||
\(368\) | 2.21787 | + | 4.25218i | 0.115615 | + | 0.221660i | ||||
\(369\) | −7.80955 | + | 5.90698i | −0.406549 | + | 0.307505i | ||||
\(370\) | 1.38527 | − | 0.620219i | 0.0720167 | − | 0.0322436i | ||||
\(371\) | −7.03626 | − | 3.21335i | −0.365305 | − | 0.166829i | ||||
\(372\) | 13.7930 | + | 2.45314i | 0.715134 | + | 0.127189i | ||||
\(373\) | −7.37935 | + | 8.51622i | −0.382088 | + | 0.440953i | −0.913919 | − | 0.405898i | \(-0.866959\pi\) |
0.531830 | + | 0.846851i | \(0.321504\pi\) | |||||||
\(374\) | −0.435671 | + | 1.48376i | −0.0225280 | + | 0.0767234i | ||||
\(375\) | 15.6846 | + | 11.3575i | 0.809950 | + | 0.586499i | ||||
\(376\) | −0.0756206 | − | 0.165586i | −0.00389984 | − | 0.00853945i | ||||
\(377\) | −9.90099 | − | 11.4264i | −0.509927 | − | 0.588487i | ||||
\(378\) | −2.51715 | + | 6.20749i | −0.129468 | + | 0.319279i | ||||
\(379\) | 18.8303 | + | 2.70738i | 0.967246 | + | 0.139069i | 0.607794 | − | 0.794095i | \(-0.292055\pi\) |
0.359452 | + | 0.933164i | \(0.382964\pi\) | |||||||
\(380\) | 1.66254 | + | 12.2072i | 0.0852866 | + | 0.626216i | ||||
\(381\) | −19.1147 | + | 11.4056i | −0.979274 | + | 0.584327i | ||||
\(382\) | 15.2936 | + | 17.6498i | 0.782490 | + | 0.903042i | ||||
\(383\) | −17.6547 | + | 8.06263i | −0.902113 | + | 0.411981i | −0.811802 | − | 0.583932i | \(-0.801513\pi\) |
−0.0903107 | + | 0.995914i | \(0.528786\pi\) | |||||||
\(384\) | −1.72166 | + | 0.189429i | −0.0878581 | + | 0.00966674i | ||||
\(385\) | 0.134761 | − | 18.1152i | 0.00686805 | − | 0.923239i | ||||
\(386\) | −4.12080 | − | 3.57070i | −0.209743 | − | 0.181744i | ||||
\(387\) | −19.0745 | − | 14.1316i | −0.969612 | − | 0.718347i | ||||
\(388\) | −3.34054 | + | 7.31475i | −0.169590 | + | 0.371350i | ||||
\(389\) | −0.957239 | − | 6.65775i | −0.0485340 | − | 0.337561i | −0.999592 | − | 0.0285499i | \(-0.990911\pi\) |
0.951058 | − | 0.309011i | \(-0.0999980\pi\) | |||||||
\(390\) | 8.83049 | + | 1.63840i | 0.447149 | + | 0.0829634i | ||||
\(391\) | 1.09761 | + | 0.433358i | 0.0555087 | + | 0.0219159i | ||||
\(392\) | −5.33818 | −0.269619 | ||||||||
\(393\) | −32.2767 | − | 10.6536i | −1.62814 | − | 0.537405i | ||||
\(394\) | 1.18811 | − | 2.60161i | 0.0598564 | − | 0.131067i | ||||
\(395\) | 6.88861 | − | 4.35497i | 0.346603 | − | 0.219122i | ||||
\(396\) | 18.8123 | + | 1.25150i | 0.945354 | + | 0.0628901i | ||||
\(397\) | 3.69826 | − | 12.5951i | 0.185610 | − | 0.632131i | −0.813136 | − | 0.582074i | \(-0.802241\pi\) |
0.998746 | − | 0.0500572i | \(-0.0159404\pi\) | |||||||
\(398\) | −7.62070 | − | 11.8580i | −0.381991 | − | 0.594390i | ||||
\(399\) | 12.2952 | + | 0.408519i | 0.615528 | + | 0.0204515i | ||||
\(400\) | 4.77598 | + | 1.47988i | 0.238799 | + | 0.0739940i | ||||
\(401\) | −18.6090 | − | 11.9593i | −0.929289 | − | 0.597218i | −0.0139502 | − | 0.999903i | \(-0.504441\pi\) |
−0.915339 | + | 0.402685i | \(0.868077\pi\) | |||||||
\(402\) | 0.959286 | − | 1.38899i | 0.0478448 | − | 0.0692767i | ||||
\(403\) | −18.5655 | − | 2.66931i | −0.924812 | − | 0.132968i | ||||
\(404\) | 6.22219 | − | 9.68191i | 0.309565 | − | 0.481693i | ||||
\(405\) | 13.2169 | + | 15.1761i | 0.656752 | + | 0.754106i | ||||
\(406\) | −7.64537 | + | 3.49152i | −0.379433 | + | 0.173281i | ||||
\(407\) | −3.58863 | + | 2.30627i | −0.177882 | + | 0.114318i | ||||
\(408\) | −0.289637 | + | 0.312647i | −0.0143392 | + | 0.0154783i | ||||
\(409\) | 1.77718 | − | 2.05098i | 0.0878759 | − | 0.101414i | −0.710109 | − | 0.704092i | \(-0.751354\pi\) |
0.797985 | + | 0.602678i | \(0.205900\pi\) | |||||||
\(410\) | 6.16903 | − | 3.90006i | 0.304667 | − | 0.192610i | ||||
\(411\) | −8.64728 | − | 10.6762i | −0.426539 | − | 0.526617i | ||||
\(412\) | −1.26519 | − | 8.79960i | −0.0623315 | − | 0.433525i | ||||
\(413\) | 12.9641i | 0.637920i | ||||||||
\(414\) | 2.24758 | − | 14.2109i | 0.110462 | − | 0.698425i | ||||
\(415\) | −5.14987 | + | 1.47061i | −0.252797 | + | 0.0721896i | ||||
\(416\) | 2.29533 | − | 0.330019i | 0.112538 | − | 0.0161805i | ||||
\(417\) | −10.2361 | + | 8.29086i | −0.501266 | + | 0.406005i | ||||
\(418\) | −9.75526 | − | 33.2234i | −0.477145 | − | 1.62501i | ||||
\(419\) | −3.90481 | + | 4.50640i | −0.190763 | + | 0.220152i | −0.843072 | − | 0.537801i | \(-0.819255\pi\) |
0.652309 | + | 0.757953i | \(0.273800\pi\) | |||||||
\(420\) | 2.25691 | − | 4.45349i | 0.110126 | − | 0.217308i | ||||
\(421\) | −0.630107 | − | 0.980466i | −0.0307095 | − | 0.0477850i | 0.825559 | − | 0.564315i | \(-0.190860\pi\) |
−0.856269 | + | 0.516530i | \(0.827223\pi\) | |||||||
\(422\) | 8.95380 | + | 19.6061i | 0.435864 | + | 0.954409i | ||||
\(423\) | −0.113429 | + | 0.534199i | −0.00551511 | + | 0.0259737i | ||||
\(424\) | −3.24409 | + | 5.04791i | −0.157547 | + | 0.245148i | ||||
\(425\) | 1.12660 | − | 0.494380i | 0.0546483 | − | 0.0239810i | ||||
\(426\) | 11.3350 | + | 7.82832i | 0.549181 | + | 0.379283i | ||||
\(427\) | −1.90138 | + | 2.95860i | −0.0920142 | + | 0.143177i | ||||
\(428\) | −11.1970 | + | 9.70230i | −0.541230 | + | 0.468978i | ||||
\(429\) | −25.2284 | − | 0.838237i | −1.21804 | − | 0.0404705i | ||||
\(430\) | 13.2856 | + | 11.6862i | 0.640691 | + | 0.563560i | ||||
\(431\) | −2.76353 | − | 0.811446i | −0.133115 | − | 0.0390860i | 0.214497 | − | 0.976725i | \(-0.431189\pi\) |
−0.347611 | + | 0.937639i | \(0.613007\pi\) | |||||||
\(432\) | 4.48842 | + | 2.61804i | 0.215949 | + | 0.125960i | ||||
\(433\) | −19.7842 | + | 5.80915i | −0.950766 | + | 0.279170i | −0.720106 | − | 0.693864i | \(-0.755907\pi\) |
−0.230660 | + | 0.973034i | \(0.574089\pi\) | |||||||
\(434\) | −4.33146 | + | 9.48457i | −0.207917 | + | 0.455274i | ||||
\(435\) | −1.02626 | + | 25.2306i | −0.0492053 | + | 1.20972i | ||||
\(436\) | 10.3088i | 0.493700i | ||||||||
\(437\) | −25.9216 | + | 5.12427i | −1.24000 | + | 0.245127i | ||||
\(438\) | −6.35218 | + | 12.7693i | −0.303519 | + | 0.610138i | ||||
\(439\) | 2.54426 | + | 17.6957i | 0.121431 | + | 0.844571i | 0.955937 | + | 0.293572i | \(0.0948441\pi\) |
−0.834506 | + | 0.550999i | \(0.814247\pi\) | |||||||
\(440\) | −13.8946 | − | 2.10335i | −0.662397 | − | 0.100273i | ||||
\(441\) | 12.8679 | + | 9.53330i | 0.612756 | + | 0.453967i | ||||
\(442\) | 0.373663 | − | 0.431230i | 0.0177733 | − | 0.0205115i | ||||
\(443\) | −19.8673 | − | 5.83357i | −0.943924 | − | 0.277161i | −0.226669 | − | 0.973972i | \(-0.572784\pi\) |
−0.717255 | + | 0.696811i | \(0.754602\pi\) | |||||||
\(444\) | −1.16861 | + | 0.128578i | −0.0554598 | + | 0.00610206i | ||||
\(445\) | 29.1425 | − | 24.8750i | 1.38149 | − | 1.17919i | ||||
\(446\) | −4.32713 | + | 3.74948i | −0.204896 | + | 0.177543i | ||||
\(447\) | −3.72912 | − | 6.24963i | −0.176381 | − | 0.295598i | ||||
\(448\) | 0.183460 | − | 1.27599i | 0.00866768 | − | 0.0602850i | ||||
\(449\) | −27.5767 | − | 3.96493i | −1.30142 | − | 0.187116i | −0.543472 | − | 0.839427i | \(-0.682891\pi\) |
−0.757952 | + | 0.652311i | \(0.773800\pi\) | |||||||
\(450\) | −8.86978 | − | 12.0966i | −0.418125 | − | 0.570238i | ||||
\(451\) | −15.5026 | + | 13.4331i | −0.729987 | + | 0.632538i | ||||
\(452\) | 3.30219 | − | 1.50806i | 0.155322 | − | 0.0709331i | ||||
\(453\) | 6.83317 | − | 0.751831i | 0.321050 | − | 0.0353241i | ||||
\(454\) | 1.03703 | − | 3.53181i | 0.0486703 | − | 0.165756i | ||||
\(455\) | −2.82197 | + | 6.05956i | −0.132296 | + | 0.284076i | ||||
\(456\) | 1.67103 | − | 9.39551i | 0.0782530 | − | 0.439985i | ||||
\(457\) | −12.6846 | + | 27.7754i | −0.593361 | + | 1.29928i | 0.340029 | + | 0.940415i | \(0.389563\pi\) |
−0.933390 | + | 0.358864i | \(0.883164\pi\) | |||||||
\(458\) | 15.3896 | − | 2.21268i | 0.719107 | − | 0.103392i | ||||
\(459\) | 1.25653 | − | 0.236392i | 0.0586496 | − | 0.0110338i | ||||
\(460\) | −2.55606 | + | 10.4147i | −0.119177 | + | 0.485589i | ||||
\(461\) | − | 1.99913i | − | 0.0931087i | −0.998916 | − | 0.0465543i | \(-0.985176\pi\) | ||
0.998916 | − | 0.0465543i | \(-0.0148241\pi\) | |||||||
\(462\) | −4.39831 | + | 13.3253i | −0.204628 | + | 0.619948i | ||||
\(463\) | 33.3228 | + | 15.2180i | 1.54864 | + | 0.707240i | 0.992316 | − | 0.123725i | \(-0.0394842\pi\) |
0.556324 | + | 0.830966i | \(0.312211\pi\) | |||||||
\(464\) | 1.83687 | + | 6.25580i | 0.0852745 | + | 0.290418i | ||||
\(465\) | 19.5351 | + | 24.4888i | 0.905919 | + | 1.13564i | ||||
\(466\) | 15.4814 | + | 4.54574i | 0.717160 | + | 0.210577i | ||||
\(467\) | 7.72391 | + | 12.0186i | 0.357420 | + | 0.556157i | 0.972675 | − | 0.232172i | \(-0.0745832\pi\) |
−0.615255 | + | 0.788328i | \(0.710947\pi\) | |||||||
\(468\) | −6.12234 | − | 3.30364i | −0.283005 | − | 0.152711i | ||||
\(469\) | 0.822748 | + | 0.949501i | 0.0379910 | + | 0.0438439i | ||||
\(470\) | 0.117580 | − | 0.389693i | 0.00542357 | − | 0.0179752i | ||||
\(471\) | 5.70966 | − | 8.26728i | 0.263087 | − | 0.380936i | ||||
\(472\) | 9.95420 | + | 1.43120i | 0.458179 | + | 0.0658762i | ||||
\(473\) | −41.8357 | − | 26.8862i | −1.92361 | − | 1.23623i | ||||
\(474\) | −6.11279 | + | 1.57639i | −0.280770 | + | 0.0724062i | ||||
\(475\) | −15.2368 | + | 22.9508i | −0.699111 | + | 1.05306i | ||||
\(476\) | −0.171492 | − | 0.266846i | −0.00786030 | − | 0.0122309i | ||||
\(477\) | 16.8349 | − | 6.37463i | 0.770817 | − | 0.291874i | ||||
\(478\) | −14.7856 | − | 12.8118i | −0.676276 | − | 0.585996i | ||||
\(479\) | −28.4537 | + | 8.35476i | −1.30008 | + | 0.381739i | −0.857266 | − | 0.514873i | \(-0.827839\pi\) |
−0.442817 | + | 0.896612i | \(0.646021\pi\) | |||||||
\(480\) | −3.17037 | − | 2.22458i | −0.144707 | − | 0.101538i | ||||
\(481\) | 1.55800 | − | 0.224007i | 0.0710387 | − | 0.0102138i | ||||
\(482\) | 8.86844i | 0.403946i | ||||||||
\(483\) | 9.82392 | + | 4.26097i | 0.447004 | + | 0.193881i | ||||
\(484\) | 28.4966 | 1.29530 | ||||||||
\(485\) | −16.4114 | + | 7.34779i | −0.745203 | + | 0.333646i | ||||
\(486\) | −6.14401 | − | 14.3266i | −0.278698 | − | 0.649867i | ||||
\(487\) | 0.555668 | + | 1.89243i | 0.0251797 | + | 0.0857542i | 0.971124 | − | 0.238574i | \(-0.0766800\pi\) |
−0.945945 | + | 0.324328i | \(0.894862\pi\) | |||||||
\(488\) | 2.06180 | + | 1.78656i | 0.0933332 | + | 0.0808737i | ||||
\(489\) | 8.76595 | − | 9.46236i | 0.396410 | − | 0.427903i | ||||
\(490\) | −8.96264 | − | 7.88366i | −0.404891 | − | 0.356148i | ||||
\(491\) | 4.38831 | − | 2.00408i | 0.198042 | − | 0.0904426i | −0.313925 | − | 0.949448i | \(-0.601644\pi\) |
0.511967 | + | 0.859005i | \(0.328917\pi\) | |||||||
\(492\) | −5.47426 | + | 1.41173i | −0.246799 | + | 0.0636456i | ||||
\(493\) | 1.34962 | + | 0.867346i | 0.0607837 | + | 0.0390633i | ||||
\(494\) | −1.81828 | + | 12.6464i | −0.0818082 | + | 0.568989i | ||||
\(495\) | 29.7370 | + | 29.8841i | 1.33658 | + | 1.34319i | ||||
\(496\) | 6.80436 | + | 4.37290i | 0.305525 | + | 0.196349i | ||||
\(497\) | −7.74847 | + | 6.71409i | −0.347566 | + | 0.301168i | ||||
\(498\) | 4.14624 | + | 0.137763i | 0.185798 | + | 0.00617331i | ||||
\(499\) | 12.1326 | − | 7.79717i | 0.543131 | − | 0.349049i | −0.240131 | − | 0.970740i | \(-0.577190\pi\) |
0.783262 | + | 0.621691i | \(0.213554\pi\) | |||||||
\(500\) | 5.83316 | + | 9.53804i | 0.260867 | + | 0.426554i | ||||
\(501\) | 36.6301 | − | 15.2795i | 1.63651 | − | 0.682637i | ||||
\(502\) | 12.5737 | − | 3.69198i | 0.561193 | − | 0.164781i | ||||
\(503\) | 34.2837 | + | 15.6568i | 1.52863 | + | 0.698103i | 0.989555 | − | 0.144153i | \(-0.0460458\pi\) |
0.539077 | + | 0.842256i | \(0.318773\pi\) | |||||||
\(504\) | −2.72099 | + | 2.74819i | −0.121203 | + | 0.122414i | ||||
\(505\) | 24.7455 | − | 7.06642i | 1.10116 | − | 0.314452i | ||||
\(506\) | 2.72192 | − | 30.0169i | 0.121004 | − | 1.33441i | ||||
\(507\) | −11.8208 | − | 5.88036i | −0.524979 | − | 0.261156i | ||||
\(508\) | −12.7204 | + | 1.82891i | −0.564375 | + | 0.0811449i | ||||
\(509\) | −15.2350 | − | 6.95758i | −0.675279 | − | 0.308389i | 0.0480985 | − | 0.998843i | \(-0.484684\pi\) |
−0.723377 | + | 0.690453i | \(0.757411\pi\) | |||||||
\(510\) | −0.948022 | + | 0.0971757i | −0.0419791 | + | 0.00430301i | ||||
\(511\) | −8.02211 | − | 6.95120i | −0.354877 | − | 0.307503i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −20.8072 | + | 19.6639i | −0.918661 | + | 0.868184i | ||||
\(514\) | −0.0141828 | − | 0.0310560i | −0.000625576 | − | 0.00136982i | ||||
\(515\) | 10.8714 | − | 16.6427i | 0.479052 | − | 0.733366i | ||||
\(516\) | −7.02288 | − | 11.7697i | −0.309165 | − | 0.518131i | ||||
\(517\) | −0.162813 | + | 1.13239i | −0.00716049 | + | 0.0498023i | ||||
\(518\) | 0.124527 | − | 0.866106i | 0.00547141 | − | 0.0380545i | ||||
\(519\) | −17.6921 | − | 29.6502i | −0.776598 | − | 1.30150i | ||||
\(520\) | 4.34117 | + | 2.83575i | 0.190373 | + | 0.124356i | ||||
\(521\) | 1.98564 | + | 4.34794i | 0.0869924 | + | 0.190487i | 0.948128 | − | 0.317888i | \(-0.102974\pi\) |
−0.861136 | + | 0.508375i | \(0.830246\pi\) | |||||||
\(522\) | 6.74421 | − | 18.3602i | 0.295186 | − | 0.803606i | ||||
\(523\) | −13.9264 | − | 4.08917i | −0.608960 | − | 0.178807i | −0.0373093 | − | 0.999304i | \(-0.511879\pi\) |
−0.571651 | + | 0.820497i | \(0.693697\pi\) | |||||||
\(524\) | −14.8307 | − | 12.8509i | −0.647882 | − | 0.561393i | ||||
\(525\) | 10.3664 | − | 4.14416i | 0.452427 | − | 0.180866i | ||||
\(526\) | −0.258423 | − | 0.118018i | −0.0112678 | − | 0.00514581i | ||||
\(527\) | 1.96997 | − | 0.283239i | 0.0858133 | − | 0.0123381i | ||||
\(528\) | 9.74599 | + | 4.84823i | 0.424140 | + | 0.210992i | ||||
\(529\) | −22.6248 | − | 4.13724i | −0.983689 | − | 0.179880i | ||||
\(530\) | −12.9017 | + | 3.68426i | −0.560414 | + | 0.160034i | ||||
\(531\) | −21.4390 | − | 21.2268i | −0.930373 | − | 0.921167i | ||||
\(532\) | 6.46069 | + | 2.95050i | 0.280107 | + | 0.127920i | ||||
\(533\) | 7.26233 | − | 2.13241i | 0.314567 | − | 0.0923651i | ||||
\(534\) | −27.3913 | + | 11.4257i | −1.18534 | + | 0.494439i | ||||
\(535\) | −33.1283 | − | 0.246444i | −1.43226 | − | 0.0106547i | ||||
\(536\) | 0.819885 | − | 0.526908i | 0.0354136 | − | 0.0227590i | ||||
\(537\) | 38.7040 | + | 1.28598i | 1.67020 | + | 0.0554940i | ||||
\(538\) | −18.4819 | + | 16.0146i | −0.796811 | + | 0.690440i | ||||
\(539\) | 28.2228 | + | 18.1377i | 1.21564 | + | 0.781246i | ||||
\(540\) | 3.66947 | + | 11.0243i | 0.157909 | + | 0.474410i | ||||
\(541\) | 2.93302 | − | 20.3996i | 0.126101 | − | 0.877048i | −0.824330 | − | 0.566110i | \(-0.808448\pi\) |
0.950430 | − | 0.310938i | \(-0.100643\pi\) | |||||||
\(542\) | −1.06637 | − | 0.685316i | −0.0458046 | − | 0.0294369i | ||||
\(543\) | −9.06608 | + | 2.33800i | −0.389063 | + | 0.100333i | ||||
\(544\) | −0.223825 | + | 0.102217i | −0.00959640 | + | 0.00438253i | ||||
\(545\) | −15.2244 | + | 17.3081i | −0.652143 | + | 0.741397i | ||||
\(546\) | 3.51878 | − | 3.79832i | 0.150590 | − | 0.162553i | ||||
\(547\) | −4.68351 | − | 4.05828i | −0.200252 | − | 0.173520i | 0.548962 | − | 0.835847i | \(-0.315023\pi\) |
−0.749214 | + | 0.662328i | \(0.769569\pi\) | |||||||
\(548\) | −2.23474 | − | 7.61083i | −0.0954634 | − | 0.325119i | ||||
\(549\) | −1.77947 | − | 7.98866i | −0.0759461 | − | 0.340948i | ||||
\(550\) | −20.2222 | − | 24.0516i | −0.862278 | − | 1.02556i | ||||
\(551\) | −35.9222 | −1.53034 | ||||||||
\(552\) | 4.35624 | − | 7.07271i | 0.185414 | − | 0.301034i | ||||
\(553\) | − | 4.69842i | − | 0.199797i | ||||||
\(554\) | 28.4562 | − | 4.09138i | 1.20899 | − | 0.173826i | ||||
\(555\) | −2.15195 | − | 1.50998i | −0.0913452 | − | 0.0640950i | ||||
\(556\) | −7.29713 | + | 2.14263i | −0.309467 | + | 0.0908678i | ||||
\(557\) | −0.332356 | − | 0.287988i | −0.0140824 | − | 0.0122024i | 0.647791 | − | 0.761818i | \(-0.275693\pi\) |
−0.661873 | + | 0.749616i | \(0.730238\pi\) | |||||||
\(558\) | −8.59272 | − | 22.6927i | −0.363759 | − | 0.960659i | ||||
\(559\) | 9.92059 | + | 15.4367i | 0.419596 | + | 0.652904i | ||||
\(560\) | 2.19247 | − | 1.87141i | 0.0926486 | − | 0.0790815i | ||||
\(561\) | 2.59359 | − | 0.668847i | 0.109501 | − | 0.0282387i | ||||
\(562\) | 11.2625 | + | 7.23798i | 0.475080 | + | 0.305316i | ||||
\(563\) | −30.8547 | − | 4.43624i | −1.30037 | − | 0.186965i | −0.542880 | − | 0.839810i | \(-0.682666\pi\) |
−0.757492 | + | 0.652845i | \(0.773575\pi\) | |||||||
\(564\) | −0.179176 | + | 0.259437i | −0.00754467 | + | 0.0109243i | ||||
\(565\) | 7.77143 | + | 2.34483i | 0.326947 | + | 0.0986478i | ||||
\(566\) | −8.99748 | − | 10.3836i | −0.378192 | − | 0.436457i | ||||
\(567\) | 11.4670 | − | 1.76526i | 0.481567 | − | 0.0741340i | ||||
\(568\) | 4.29987 | + | 6.69073i | 0.180419 | + | 0.280737i | ||||
\(569\) | 15.1172 | + | 4.43880i | 0.633745 | + | 0.186084i | 0.582798 | − | 0.812617i | \(-0.301958\pi\) |
0.0509468 | + | 0.998701i | \(0.483776\pi\) | |||||||
\(570\) | 16.6813 | − | 13.3069i | 0.698702 | − | 0.557365i | ||||
\(571\) | 10.4927 | + | 35.7349i | 0.439106 | + | 1.49546i | 0.820825 | + | 0.571180i | \(0.193514\pi\) |
−0.381719 | + | 0.924278i | \(0.624668\pi\) | |||||||
\(572\) | −13.2567 | − | 6.05411i | −0.554289 | − | 0.253135i | ||||
\(573\) | 12.6787 | − | 38.4120i | 0.529662 | − | 1.60468i | ||||
\(574\) | − | 4.20763i | − | 0.175623i | ||||||
\(575\) | −19.6725 | + | 13.7111i | −0.820399 | + | 0.571792i | ||||
\(576\) | 1.80975 | + | 2.39265i | 0.0754063 | + | 0.0996939i | ||||
\(577\) | 15.4156 | − | 2.21643i | 0.641761 | − | 0.0922713i | 0.186251 | − | 0.982502i | \(-0.440366\pi\) |
0.455510 | + | 0.890231i | \(0.349457\pi\) | |||||||
\(578\) | 7.03690 | − | 15.4087i | 0.292697 | − | 0.640916i | ||||
\(579\) | −1.65373 | + | 9.29827i | −0.0687268 | + | 0.386423i | ||||
\(580\) | −6.15480 | + | 13.2161i | −0.255564 | + | 0.548767i | ||||
\(581\) | −0.869886 | + | 2.96256i | −0.0360889 | + | 0.122908i | ||||
\(582\) | 13.8446 | − | 1.52328i | 0.573879 | − | 0.0631420i | ||||
\(583\) | 34.3029 | − | 15.6656i | 1.42068 | − | 0.648802i | ||||
\(584\) | −6.22296 | + | 5.39223i | −0.257508 | + | 0.223132i | ||||
\(585\) | −5.40026 | − | 14.5884i | −0.223273 | − | 0.603158i | ||||
\(586\) | −23.6110 | − | 3.39474i | −0.975360 | − | 0.140236i | ||||
\(587\) | −2.40652 | + | 16.7377i | −0.0993278 | + | 0.690840i | 0.877931 | + | 0.478788i | \(0.158924\pi\) |
−0.977258 | + | 0.212052i | \(0.931985\pi\) | |||||||
\(588\) | 4.73771 | + | 7.93994i | 0.195380 | + | 0.327438i | ||||
\(589\) | −33.6791 | + | 29.1831i | −1.38772 | + | 1.20247i | ||||
\(590\) | 14.5991 | + | 17.1037i | 0.601036 | + | 0.704149i | ||||
\(591\) | −4.92407 | + | 0.541779i | −0.202549 | + | 0.0222858i | ||||
\(592\) | −0.651275 | − | 0.191232i | −0.0267672 | − | 0.00785957i | ||||
\(593\) | 1.86022 | − | 2.14680i | 0.0763899 | − | 0.0881586i | −0.716268 | − | 0.697825i | \(-0.754151\pi\) |
0.792658 | + | 0.609667i | \(0.208697\pi\) | |||||||
\(594\) | −14.8347 | − | 29.0919i | −0.608677 | − | 1.19365i | ||||
\(595\) | 0.106161 | − | 0.701292i | 0.00435218 | − | 0.0287502i | ||||
\(596\) | −0.597972 | − | 4.15899i | −0.0244939 | − | 0.170359i | ||||
\(597\) | −10.8740 | + | 21.8591i | −0.445043 | + | 0.894633i | ||||
\(598\) | −5.51463 | + | 9.65766i | −0.225510 | + | 0.394931i | ||||
\(599\) | 8.90466i | 0.363834i | 0.983314 | + | 0.181917i | \(0.0582303\pi\) | ||||
−0.983314 | + | 0.181917i | \(0.941770\pi\) | |||||||
\(600\) | −2.03759 | − | 8.41714i | −0.0831844 | − | 0.343628i | ||||
\(601\) | 6.76727 | − | 14.8183i | 0.276043 | − | 0.604449i | −0.719936 | − | 0.694041i | \(-0.755829\pi\) |
0.995979 | + | 0.0895914i | \(0.0285561\pi\) | |||||||
\(602\) | 9.78754 | − | 2.87388i | 0.398910 | − | 0.117131i | ||||
\(603\) | −2.91735 | − | 0.194078i | −0.118804 | − | 0.00790346i | ||||
\(604\) | 3.80817 | + | 1.11818i | 0.154952 | + | 0.0454981i | ||||
\(605\) | 47.8448 | + | 42.0850i | 1.94517 | + | 1.71100i | ||||
\(606\) | −19.9230 | − | 0.661962i | −0.809318 | − | 0.0268904i | ||||
\(607\) | −30.7899 | + | 26.6796i | −1.24972 | + | 1.08289i | −0.256516 | + | 0.966540i | \(0.582575\pi\) |
−0.993208 | + | 0.116352i | \(0.962880\pi\) | |||||||
\(608\) | 2.97873 | − | 4.63499i | 0.120803 | − | 0.187974i | ||||
\(609\) | 11.9786 | + | 8.27285i | 0.485398 | + | 0.335233i | ||||
\(610\) | 0.823226 | + | 6.04453i | 0.0333314 | + | 0.244736i | ||||
\(611\) | 0.228221 | − | 0.355119i | 0.00923283 | − | 0.0143666i | ||||
\(612\) | 0.722084 | + | 0.153323i | 0.0291885 | + | 0.00619773i | ||||
\(613\) | 9.77007 | + | 21.3935i | 0.394609 | + | 0.864074i | 0.997789 | + | 0.0664684i | \(0.0211732\pi\) |
−0.603179 | + | 0.797606i | \(0.706100\pi\) | |||||||
\(614\) | 6.72453 | + | 10.4636i | 0.271380 | + | 0.422275i | ||||
\(615\) | −11.2760 | − | 5.71438i | −0.454692 | − | 0.230426i | ||||
\(616\) | −5.30543 | + | 6.12279i | −0.213762 | + | 0.246694i | ||||
\(617\) | −2.58807 | − | 8.81415i | −0.104192 | − | 0.354844i | 0.890851 | − | 0.454296i | \(-0.150109\pi\) |
−0.995042 | + | 0.0994519i | \(0.968291\pi\) | |||||||
\(618\) | −11.9655 | + | 9.69160i | −0.481324 | + | 0.389853i | ||||
\(619\) | 44.0020 | − | 6.32653i | 1.76859 | − | 0.254285i | 0.820355 | − | 0.571855i | \(-0.193776\pi\) |
0.948235 | + | 0.317570i | \(0.102867\pi\) | |||||||
\(620\) | 4.96622 | + | 17.3909i | 0.199448 | + | 0.698437i | ||||
\(621\) | −23.1318 | + | 9.26932i | −0.928247 | + | 0.371965i | ||||
\(622\) | − | 12.7086i | − | 0.509570i | ||||||
\(623\) | −3.14360 | − | 21.8642i | −0.125946 | − | 0.875972i | ||||
\(624\) | −2.52800 | − | 3.12115i | −0.101201 | − | 0.124946i | ||||
\(625\) | −4.29251 | + | 24.6287i | −0.171700 | + | 0.985149i | ||||
\(626\) | −1.20283 | + | 1.38814i | −0.0480747 | + | 0.0554811i | ||||
\(627\) | −40.7580 | + | 43.9960i | −1.62772 | + | 1.75703i | ||||
\(628\) | 4.87995 | − | 3.13615i | 0.194731 | − | 0.125146i | ||||
\(629\) | −0.151925 | + | 0.0693820i | −0.00605766 | + | 0.00276644i | ||||
\(630\) | −8.62711 | + | 0.595638i | −0.343712 | + | 0.0237308i | ||||
\(631\) | −14.0369 | + | 21.8418i | −0.558800 | + | 0.869509i | −0.999605 | − | 0.0280933i | \(-0.991056\pi\) |
0.440806 | + | 0.897603i | \(0.354693\pi\) | |||||||
\(632\) | −3.60759 | − | 0.518693i | −0.143502 | − | 0.0206325i | ||||
\(633\) | 21.2152 | − | 30.7184i | 0.843229 | − | 1.22095i | ||||
\(634\) | −0.204268 | − | 0.131275i | −0.00811250 | − | 0.00521359i | ||||
\(635\) | −24.0581 | − | 15.7153i | −0.954717 | − | 0.623643i | ||||
\(636\) | 10.3874 | + | 0.345131i | 0.411886 | + | 0.0136853i | ||||
\(637\) | −6.69254 | − | 10.4138i | −0.265168 | − | 0.412609i | ||||
\(638\) | 11.5440 | − | 39.3154i | 0.457033 | − | 1.55651i | ||||
\(639\) | 1.58379 | − | 23.8072i | 0.0626536 | − | 0.941800i | ||||
\(640\) | −1.19488 | − | 1.89004i | −0.0472319 | − | 0.0747104i | ||||
\(641\) | 13.0538 | − | 28.5838i | 0.515594 | − | 1.12899i | −0.455487 | − | 0.890243i | \(-0.650535\pi\) |
0.971081 | − | 0.238751i | \(-0.0767379\pi\) | |||||||
\(642\) | 24.3686 | + | 8.04341i | 0.961752 | + | 0.317448i | ||||
\(643\) | −45.0590 | −1.77695 | −0.888477 | − | 0.458922i | \(-0.848236\pi\) | ||||
−0.888477 | + | 0.458922i | \(0.848236\pi\) | |||||||
\(644\) | 4.28761 | + | 4.45401i | 0.168956 | + | 0.175512i | ||||
\(645\) | 5.59075 | − | 30.1326i | 0.220136 | − | 1.18647i | ||||
\(646\) | −0.192936 | − | 1.34190i | −0.00759098 | − | 0.0527965i | ||||
\(647\) | −16.8740 | + | 36.9490i | −0.663387 | + | 1.45262i | 0.215944 | + | 0.976406i | \(0.430717\pi\) |
−0.879332 | + | 0.476210i | \(0.842010\pi\) | |||||||
\(648\) | −0.0895001 | − | 8.99955i | −0.00351590 | − | 0.353536i | ||||
\(649\) | −47.7647 | − | 41.3884i | −1.87493 | − | 1.62464i | ||||
\(650\) | 3.10072 | + | 11.1724i | 0.121620 | + | 0.438217i | ||||
\(651\) | 17.9515 | − | 1.97514i | 0.703573 | − | 0.0774118i | ||||
\(652\) | 6.77413 | − | 3.09364i | 0.265295 | − | 0.121156i | ||||
\(653\) | −31.5683 | − | 36.4317i | −1.23536 | − | 1.42568i | −0.868708 | − | 0.495325i | \(-0.835049\pi\) |
−0.366654 | − | 0.930357i | \(-0.619497\pi\) | |||||||
\(654\) | 15.3331 | − | 9.14917i | 0.599572 | − | 0.357761i | ||||
\(655\) | −5.92153 | − | 43.4788i | −0.231373 | − | 1.69886i | ||||
\(656\) | −3.23075 | − | 0.464511i | −0.126139 | − | 0.0181361i | ||||
\(657\) | 24.6305 | − | 1.88475i | 0.960926 | − | 0.0735310i | ||||
\(658\) | −0.153673 | − | 0.177348i | −0.00599081 | − | 0.00691376i | ||||
\(659\) | 8.60340 | + | 18.8388i | 0.335141 | + | 0.733856i | 0.999913 | − | 0.0131899i | \(-0.00419860\pi\) |
−0.664772 | + | 0.747046i | \(0.731471\pi\) | |||||||
\(660\) | 9.20313 | + | 22.5333i | 0.358231 | + | 0.877109i | ||||
\(661\) | 4.81472 | − | 16.3974i | 0.187271 | − | 0.637786i | −0.811314 | − | 0.584610i | \(-0.801247\pi\) |
0.998585 | − | 0.0531759i | \(-0.0169344\pi\) | |||||||
\(662\) | −7.53043 | + | 8.69058i | −0.292678 | + | 0.337769i | ||||
\(663\) | −0.973036 | − | 0.173058i | −0.0377896 | − | 0.00672103i | ||||
\(664\) | 2.17871 | + | 0.994983i | 0.0845503 | + | 0.0386128i | ||||
\(665\) | 6.48987 | + | 14.4952i | 0.251666 | + | 0.562101i | ||||
\(666\) | 1.22840 | + | 1.62406i | 0.0475997 | + | 0.0629311i | ||||
\(667\) | −29.0836 | − | 11.4828i | −1.12612 | − | 0.444614i | ||||
\(668\) | 22.9145 | 0.886590 | ||||||||
\(669\) | 9.41732 | + | 3.10840i | 0.364095 | + | 0.120178i | ||||
\(670\) | 2.15472 | + | 0.326180i | 0.0832442 | + | 0.0126014i | ||||
\(671\) | −4.83042 | − | 16.4509i | −0.186476 | − | 0.635080i | ||||
\(672\) | −2.06072 | + | 0.859586i | −0.0794939 | + | 0.0331593i | ||||
\(673\) | −1.35231 | + | 4.60555i | −0.0521278 | + | 0.177531i | −0.981442 | − | 0.191759i | \(-0.938581\pi\) |
0.929314 | + | 0.369290i | \(0.120399\pi\) | |||||||
\(674\) | −22.6344 | + | 14.5462i | −0.871844 | + | 0.560300i | ||||
\(675\) | −10.1202 | + | 23.9287i | −0.389528 | + | 0.921015i | ||||
\(676\) | −4.99170 | − | 5.76073i | −0.191989 | − | 0.221567i | ||||
\(677\) | 14.2467 | − | 22.1682i | 0.547543 | − | 0.851994i | −0.451648 | − | 0.892196i | \(-0.649164\pi\) |
0.999192 | + | 0.0402020i | \(0.0128001\pi\) | |||||||
\(678\) | −5.17380 | − | 3.57320i | −0.198699 | − | 0.137228i | ||||
\(679\) | −1.47528 | + | 10.2608i | −0.0566162 | + | 0.393774i | ||||
\(680\) | −0.526753 | − | 0.158934i | −0.0202001 | − | 0.00609486i | ||||
\(681\) | −6.17354 | + | 1.59206i | −0.236571 | + | 0.0610079i | ||||
\(682\) | −21.1165 | − | 46.2387i | −0.808594 | − | 1.77057i | ||||
\(683\) | 30.9376 | − | 19.8824i | 1.18379 | − | 0.760778i | 0.207714 | − | 0.978190i | \(-0.433398\pi\) |
0.976080 | + | 0.217411i | \(0.0697612\pi\) | |||||||
\(684\) | −15.4578 | + | 5.85318i | −0.591044 | + | 0.223802i | ||||
\(685\) | 7.48795 | − | 16.0787i | 0.286100 | − | 0.614336i | ||||
\(686\) | −15.2611 | + | 4.48105i | −0.582670 | + | 0.171087i | ||||
\(687\) | −16.9496 | − | 20.9264i | −0.646666 | − | 0.798393i | ||||
\(688\) | −1.12613 | − | 7.83244i | −0.0429335 | − | 0.298609i | ||||
\(689\) | −13.9147 | −0.530107 | ||||||||
\(690\) | 17.7593 | − | 5.44136i | 0.676084 | − | 0.207149i | ||||
\(691\) | 3.45706 | 0.131513 | 0.0657564 | − | 0.997836i | \(-0.479054\pi\) | ||||
0.0657564 | + | 0.997836i | \(0.479054\pi\) | |||||||
\(692\) | −2.83697 | − | 19.7316i | −0.107845 | − | 0.750081i | ||||
\(693\) | 23.7234 | − | 5.28439i | 0.901178 | − | 0.200737i | ||||
\(694\) | −27.8996 | + | 8.19205i | −1.05905 | + | 0.310966i | ||||
\(695\) | −15.4160 | − | 7.17931i | −0.584761 | − | 0.272327i | ||||
\(696\) | 7.67455 | − | 8.28425i | 0.290903 | − | 0.314014i | ||||
\(697\) | −0.675640 | + | 0.434207i | −0.0255917 | + | 0.0164468i | ||||
\(698\) | −10.7389 | − | 23.5149i | −0.406474 | − | 0.890054i | ||||
\(699\) | −6.97866 | − | 27.0612i | −0.263957 | − | 1.02355i | ||||
\(700\) | 6.44486 | + | 0.0958931i | 0.243593 | + | 0.00362442i | ||||
\(701\) | −3.10574 | + | 21.6009i | −0.117302 | + | 0.815855i | 0.843204 | + | 0.537595i | \(0.180667\pi\) |
−0.960506 | + | 0.278260i | \(0.910242\pi\) | |||||||
\(702\) | 0.519877 | + | 12.0383i | 0.0196215 | + | 0.454357i | ||||
\(703\) | 2.02187 | − | 3.14609i | 0.0762563 | − | 0.118657i | ||||
\(704\) | 4.11556 | + | 4.74961i | 0.155111 | + | 0.179008i | ||||
\(705\) | −0.683979 | + | 0.170971i | −0.0257601 | + | 0.00643916i | ||||
\(706\) | 30.6654 | − | 19.7075i | 1.15411 | − | 0.741701i | ||||
\(707\) | 4.17987 | − | 14.2353i | 0.157200 | − | 0.535375i | ||||
\(708\) | −6.70575 | − | 16.0759i | −0.252017 | − | 0.604171i | ||||
\(709\) | −0.653430 | − | 2.22538i | −0.0245401 | − | 0.0835759i | 0.946313 | − | 0.323253i | \(-0.104777\pi\) |
−0.970853 | + | 0.239677i | \(0.922958\pi\) | |||||||
\(710\) | −2.66182 | + | 17.5838i | −0.0998962 | + | 0.659907i | ||||
\(711\) | 7.76990 | + | 7.69301i | 0.291394 | + | 0.288510i | ||||
\(712\) | −17.1351 | −0.642164 | ||||||||
\(713\) | −36.5961 | + | 12.8617i | −1.37053 | + | 0.481675i | ||||
\(714\) | −0.244702 | + | 0.491904i | −0.00915774 | + | 0.0184090i | ||||
\(715\) | −13.3165 | − | 29.7427i | −0.498010 | − | 1.11231i | ||||
\(716\) | 20.3376 | + | 9.28789i | 0.760053 | + | 0.347105i | ||||
\(717\) | −5.93364 | + | 33.3625i | −0.221596 | + | 1.24594i | ||||
\(718\) | 19.8702 | − | 22.9315i | 0.741550 | − | 0.855794i | ||||
\(719\) | 10.3905 | − | 35.3868i | 0.387500 | − | 1.31971i | −0.502828 | − | 0.864386i | \(-0.667707\pi\) |
0.890329 | − | 0.455319i | \(-0.150475\pi\) | |||||||
\(720\) | −0.495061 | + | 6.68991i | −0.0184498 | + | 0.249318i | ||||
\(721\) | −4.76080 | − | 10.4247i | −0.177301 | − | 0.388236i | ||||
\(722\) | 7.43657 | + | 8.58225i | 0.276760 | + | 0.319398i | ||||
\(723\) | 13.1908 | − | 7.87087i | 0.490571 | − | 0.292721i | ||||
\(724\) | −5.35053 | − | 0.769291i | −0.198851 | − | 0.0285905i | ||||
\(725\) | −29.8518 | + | 13.0997i | −1.10867 | + | 0.486509i | ||||
\(726\) | −25.2911 | − | 42.3854i | −0.938642 | − | 1.57307i | ||||
\(727\) | 3.70264 | + | 4.27308i | 0.137323 | + | 0.158480i | 0.820246 | − | 0.572011i | \(-0.193837\pi\) |
−0.682922 | + | 0.730491i | \(0.739291\pi\) | |||||||
\(728\) | 2.71923 | − | 1.24183i | 0.100781 | − | 0.0460253i | ||||
\(729\) | −15.8563 | + | 21.8536i | −0.587270 | + | 0.809391i | ||||
\(730\) | −18.4116 | − | 0.136966i | −0.681445 | − | 0.00506933i | ||||
\(731\) | −1.47150 | − | 1.27506i | −0.0544254 | − | 0.0471599i | ||||
\(732\) | 0.827427 | − | 4.65229i | 0.0305826 | − | 0.171953i | ||||
\(733\) | 12.2467 | − | 26.8165i | 0.452341 | − | 0.990489i | −0.536826 | − | 0.843693i | \(-0.680377\pi\) |
0.989167 | − | 0.146796i | \(-0.0468960\pi\) | |||||||
\(734\) | −4.36514 | − | 30.3602i | −0.161120 | − | 1.12062i | ||||
\(735\) | −3.77158 | + | 20.3278i | −0.139117 | + | 0.749801i | ||||
\(736\) | 3.89326 | − | 2.80045i | 0.143508 | − | 0.103226i | ||||
\(737\) | −6.12500 | −0.225617 | ||||||||
\(738\) | 6.95827 | + | 6.88941i | 0.256137 | + | 0.253603i | ||||
\(739\) | 14.0481 | − | 30.7609i | 0.516766 | − | 1.13156i | −0.453883 | − | 0.891061i | \(-0.649962\pi\) |
0.970649 | − | 0.240499i | \(-0.0773110\pi\) | |||||||
\(740\) | −0.811050 | − | 1.28290i | −0.0298148 | − | 0.0471604i | ||||
\(741\) | 20.4238 | − | 8.51938i | 0.750289 | − | 0.312967i | ||||
\(742\) | −2.17928 | + | 7.42195i | −0.0800039 | + | 0.272468i | ||||
\(743\) | 13.7622 | + | 21.4143i | 0.504885 | + | 0.785616i | 0.996357 | − | 0.0852770i | \(-0.0271775\pi\) |
−0.491472 | + | 0.870893i | \(0.663541\pi\) | |||||||
\(744\) | 0.465221 | − | 14.0017i | 0.0170558 | − | 0.513328i | ||||
\(745\) | 5.13820 | − | 7.86592i | 0.188249 | − | 0.288185i | ||||
\(746\) | 9.47973 | + | 6.09225i | 0.347078 | + | 0.223053i | ||||
\(747\) | −3.47494 | − | 6.28933i | −0.127141 | − | 0.230115i | ||||
\(748\) | 1.53066 | + | 0.220076i | 0.0559665 | + | 0.00804677i | ||||
\(749\) | −10.3259 | + | 16.0673i | −0.377299 | + | 0.587088i | ||||
\(750\) | 9.00974 | − | 17.1413i | 0.328989 | − | 0.625912i | ||||
\(751\) | 37.5031 | − | 17.1271i | 1.36851 | − | 0.624977i | 0.410537 | − | 0.911844i | \(-0.365341\pi\) |
0.957970 | + | 0.286867i | \(0.0926138\pi\) | |||||||
\(752\) | −0.153139 | + | 0.0984162i | −0.00558439 | + | 0.00358887i | ||||
\(753\) | −16.6508 | − | 15.4253i | −0.606788 | − | 0.562130i | ||||
\(754\) | −9.90099 | + | 11.4264i | −0.360573 | + | 0.416123i | ||||
\(755\) | 4.74242 | + | 7.50146i | 0.172594 | + | 0.273006i | ||||
\(756\) | 6.50254 | + | 1.60811i | 0.236495 | + | 0.0584865i | ||||
\(757\) | −2.88087 | − | 20.0369i | −0.104707 | − | 0.728253i | −0.972766 | − | 0.231791i | \(-0.925541\pi\) |
0.868058 | − | 0.496462i | \(-0.165368\pi\) | |||||||
\(758\) | − | 19.0239i | − | 0.690980i | ||||||
\(759\) | −47.0624 | + | 22.5919i | −1.70826 | + | 0.820032i | ||||
\(760\) | 11.8463 | − | 3.38288i | 0.429712 | − | 0.122710i | ||||
\(761\) | −16.1644 | + | 2.32409i | −0.585958 | + | 0.0842481i | −0.428917 | − | 0.903344i | \(-0.641105\pi\) |
−0.157041 | + | 0.987592i | \(0.550196\pi\) | |||||||
\(762\) | 14.0098 | + | 17.2969i | 0.507522 | + | 0.626601i | ||||
\(763\) | 3.74399 | + | 12.7509i | 0.135542 | + | 0.461613i | ||||
\(764\) | 15.2936 | − | 17.6498i | 0.553304 | − | 0.638547i | ||||
\(765\) | 0.985921 | + | 1.32383i | 0.0356460 | + | 0.0478632i | ||||
\(766\) | 10.4931 | + | 16.3276i | 0.379131 | + | 0.589939i | ||||
\(767\) | 9.68769 | + | 21.2131i | 0.349802 | + | 0.765960i | ||||
\(768\) | 0.432518 | + | 1.67718i | 0.0156072 | + | 0.0605200i | ||||
\(769\) | −10.8173 | + | 16.8321i | −0.390082 | + | 0.606980i | −0.979644 | − | 0.200744i | \(-0.935664\pi\) |
0.589562 | + | 0.807723i | \(0.299300\pi\) | |||||||
\(770\) | −17.9500 | + | 2.44468i | −0.646875 | + | 0.0881001i | ||||
\(771\) | −0.0336048 | + | 0.0486579i | −0.00121025 | + | 0.00175237i | ||||
\(772\) | −2.94790 | + | 4.58702i | −0.106097 | + | 0.165091i | ||||
\(773\) | 11.3512 | − | 9.83588i | 0.408275 | − | 0.353772i | −0.426381 | − | 0.904543i | \(-0.640212\pi\) |
0.834656 | + | 0.550771i | \(0.185666\pi\) | |||||||
\(774\) | −11.2731 | + | 20.8915i | −0.405204 | + | 0.750929i | ||||
\(775\) | −17.3456 | + | 36.5331i | −0.623071 | + | 1.31231i | ||||
\(776\) | 7.71571 | + | 2.26554i | 0.276978 | + | 0.0813280i | ||||
\(777\) | −1.39875 | + | 0.583461i | −0.0501800 | + | 0.0209315i | ||||
\(778\) | −6.45375 | + | 1.89499i | −0.231378 | + | 0.0679387i | ||||
\(779\) | 7.47051 | − | 16.3581i | 0.267659 | − | 0.586091i | ||||
\(780\) | 0.365009 | − | 8.97377i | 0.0130694 | − | 0.321313i | ||||
\(781\) | − | 49.9835i | − | 1.78855i | ||||||
\(782\) | 0.272741 | − | 1.14811i | 0.00975318 | − | 0.0410565i | ||||
\(783\) | −33.2943 | + | 6.26372i | −1.18984 | + | 0.223847i | ||||
\(784\) | 0.759703 | + | 5.28385i | 0.0271322 | + | 0.188709i | ||||
\(785\) | 12.8249 | + | 1.94142i | 0.457740 | + | 0.0692923i | ||||
\(786\) | −5.95176 | + | 33.4643i | −0.212292 | + | 1.19363i | ||||
\(787\) | 27.3205 | − | 31.5296i | 0.973871 | − | 1.12391i | −0.0184011 | − | 0.999831i | \(-0.505858\pi\) |
0.992273 | − | 0.124077i | \(-0.0395970\pi\) | |||||||
\(788\) | −2.74421 | − | 0.805774i | −0.0977586 | − | 0.0287045i | ||||
\(789\) | 0.0538159 | + | 0.489117i | 0.00191590 | + | 0.0174130i | ||||
\(790\) | −5.29100 | − | 6.19871i | −0.188245 | − | 0.220540i | ||||
\(791\) | 3.53676 | − | 3.06462i | 0.125753 | − | 0.108965i | ||||
\(792\) | −1.43851 | − | 18.7989i | −0.0511153 | − | 0.667991i | ||||
\(793\) | −0.900341 | + | 6.26201i | −0.0319720 | + | 0.222370i | ||||
\(794\) | −12.9932 | − | 1.86815i | −0.461113 | − | 0.0662980i | ||||
\(795\) | 16.9304 | + | 15.9200i | 0.600458 | + | 0.564624i | ||||
\(796\) | −10.6528 | + | 9.23070i | −0.377579 | + | 0.327174i | ||||
\(797\) | 37.8938 | − | 17.3055i | 1.34227 | − | 0.612993i | 0.390725 | − | 0.920508i | \(-0.372224\pi\) |
0.951544 | + | 0.307514i | \(0.0994971\pi\) | |||||||
\(798\) | −1.34542 | − | 12.2282i | −0.0476275 | − | 0.432872i | ||||
\(799\) | −0.0126194 | + | 0.0429776i | −0.000446441 | + | 0.00152044i | ||||
\(800\) | 0.785125 | − | 4.93797i | 0.0277584 | − | 0.174584i | ||||
\(801\) | 41.3046 | + | 30.6010i | 1.45943 | + | 1.08123i | ||||
\(802\) | −9.18921 | + | 20.1216i | −0.324482 | + | 0.710517i | ||||
\(803\) | 51.2219 | − | 7.36460i | 1.80758 | − | 0.259891i | ||||
\(804\) | −1.51138 | − | 0.751848i | −0.0533021 | − | 0.0265156i | ||||
\(805\) | 0.620891 | + | 13.8103i | 0.0218835 | + | 0.486748i | ||||
\(806\) | 18.7564i | 0.660665i | ||||||||
\(807\) | 40.2229 | + | 13.2765i | 1.41591 | + | 0.467354i | ||||
\(808\) | −10.4689 | − | 4.78098i | −0.368294 | − | 0.168194i | ||||
\(809\) | 4.34848 | + | 14.8095i | 0.152884 | + | 0.520676i | 0.999941 | − | 0.0108258i | \(-0.00344604\pi\) |
−0.847057 | + | 0.531502i | \(0.821628\pi\) | |||||||
\(810\) | 13.1407 | − | 15.2421i | 0.461716 | − | 0.535554i | ||||
\(811\) | 0.697915 | + | 0.204926i | 0.0245071 | + | 0.00719593i | 0.293963 | − | 0.955817i | \(-0.405026\pi\) |
−0.269456 | + | 0.963013i | \(0.586844\pi\) | |||||||
\(812\) | 4.54404 | + | 7.07066i | 0.159464 | + | 0.248131i | ||||
\(813\) | −0.0729090 | + | 2.19434i | −0.00255703 | + | 0.0769588i | ||||
\(814\) | 2.79352 | + | 3.22389i | 0.0979127 | + | 0.112997i | ||||
\(815\) | 15.9424 | + | 4.81020i | 0.558437 | + | 0.168494i | ||||
\(816\) | 0.350684 | + | 0.242194i | 0.0122764 | + | 0.00847850i | ||||
\(817\) | 43.1538 | + | 6.20458i | 1.50976 | + | 0.217071i | ||||
\(818\) | −2.28302 | − | 1.46721i | −0.0798239 | − | 0.0512997i | ||||
\(819\) | −8.77254 | − | 1.86271i | −0.306537 | − | 0.0650885i | ||||
\(820\) | −4.73831 | − | 5.55121i | −0.165469 | − | 0.193857i | ||||
\(821\) | 14.2318 | + | 22.1450i | 0.496692 | + | 0.772867i | 0.995592 | − | 0.0937921i | \(-0.0298989\pi\) |
−0.498900 | + | 0.866660i | \(0.666263\pi\) | |||||||
\(822\) | −9.33688 | + | 10.0786i | −0.325661 | + | 0.351533i | ||||
\(823\) | 0.923367 | + | 0.800102i | 0.0321866 | + | 0.0278898i | 0.670806 | − | 0.741633i | \(-0.265949\pi\) |
−0.638619 | + | 0.769523i | \(0.720494\pi\) | |||||||
\(824\) | −8.52997 | + | 2.50463i | −0.297156 | + | 0.0872528i | ||||
\(825\) | −17.8265 | + | 51.4243i | −0.620638 | + | 1.79037i | ||||
\(826\) | 12.8321 | − | 1.84498i | 0.446486 | − | 0.0641950i | ||||
\(827\) | 23.9022i | 0.831161i | 0.909556 | + | 0.415581i | \(0.136422\pi\) | ||||
−0.909556 | + | 0.415581i | \(0.863578\pi\) | |||||||
\(828\) | −14.3861 | − | 0.202283i | −0.499951 | − | 0.00702983i | ||||
\(829\) | −17.9119 | −0.622105 | −0.311052 | − | 0.950393i | \(-0.600681\pi\) | ||||
−0.311052 | + | 0.950393i | \(0.600681\pi\) | |||||||
\(830\) | 2.18855 | + | 4.88816i | 0.0759656 | + | 0.169670i | ||||
\(831\) | −31.3408 | − | 38.6942i | −1.08720 | − | 1.34229i | ||||
\(832\) | −0.653319 | − | 2.22500i | −0.0226498 | − | 0.0771380i | ||||
\(833\) | 0.992690 | + | 0.860171i | 0.0343947 | + | 0.0298032i | ||||
\(834\) | 9.66323 | + | 8.95204i | 0.334610 | + | 0.309984i | ||||
\(835\) | 38.4728 | + | 33.8412i | 1.33140 | + | 1.17112i | ||||
\(836\) | −31.4969 | + | 14.3841i | −1.08934 | + | 0.497486i | ||||
\(837\) | −26.1267 | + | 32.9208i | −0.903070 | + | 1.13791i | ||||
\(838\) | 5.01624 | + | 3.22374i | 0.173283 | + | 0.111362i | ||||
\(839\) | 4.98055 | − | 34.6405i | 0.171948 | − | 1.19592i | −0.702815 | − | 0.711372i | \(-0.748074\pi\) |
0.874763 | − | 0.484551i | \(-0.161017\pi\) | |||||||
\(840\) | −4.72935 | − | 1.60014i | −0.163178 | − | 0.0552101i | ||||
\(841\) | −11.3646 | − | 7.30361i | −0.391884 | − | 0.251849i | ||||
\(842\) | −0.880812 | + | 0.763228i | −0.0303548 | + | 0.0263026i | ||||
\(843\) | 0.770029 | − | 23.1755i | 0.0265212 | − | 0.798207i | ||||
\(844\) | 18.1323 | − | 11.6529i | 0.624138 | − | 0.401109i | ||||
\(845\) | 0.126792 | − | 17.0441i | 0.00436179 | − | 0.586333i | ||||
\(846\) | 0.544904 | + | 0.0362500i | 0.0187342 | + | 0.00124630i | ||||
\(847\) | 35.2473 | − | 10.3495i | 1.21111 | − | 0.355615i | ||||
\(848\) | 5.45821 | + | 2.49268i | 0.187436 | + | 0.0855991i | ||||
\(849\) | −7.45910 | + | 22.5984i | −0.255996 | + | 0.775574i | ||||
\(850\) | −0.649681 | − | 1.04478i | −0.0222839 | − | 0.0358356i | ||||
\(851\) | 2.64263 | − | 1.90086i | 0.0905881 | − | 0.0651606i | ||||
\(852\) | 6.13550 | − | 12.3337i | 0.210199 | − | 0.422545i | ||||
\(853\) | −28.6651 | + | 4.12143i | −0.981476 | + | 0.141115i | −0.614331 | − | 0.789049i | \(-0.710574\pi\) |
−0.367145 | + | 0.930164i | \(0.619665\pi\) | |||||||
\(854\) | 3.19908 | + | 1.46097i | 0.109470 | + | 0.0499934i | ||||
\(855\) | −34.5974 | − | 13.0015i | −1.18321 | − | 0.444641i | ||||
\(856\) | 11.1970 | + | 9.70230i | 0.382707 | + | 0.331618i | ||||
\(857\) | −24.7011 | − | 7.25291i | −0.843775 | − | 0.247755i | −0.168851 | − | 0.985642i | \(-0.554006\pi\) |
−0.674924 | + | 0.737887i | \(0.735824\pi\) | |||||||
\(858\) | 2.76067 | + | 25.0909i | 0.0942476 | + | 0.856588i | ||||
\(859\) | −12.4759 | − | 27.3183i | −0.425671 | − | 0.932089i | −0.994009 | − | 0.109295i | \(-0.965141\pi\) |
0.568338 | − | 0.822795i | \(-0.307586\pi\) | |||||||
\(860\) | 9.67654 | − | 14.8135i | 0.329967 | − | 0.505138i | ||||
\(861\) | −6.25837 | + | 3.73433i | −0.213285 | + | 0.127266i | ||||
\(862\) | −0.409895 | + | 2.85088i | −0.0139611 | + | 0.0971015i | ||||
\(863\) | −4.29193 | + | 29.8510i | −0.146099 | + | 1.01614i | 0.776428 | + | 0.630207i | \(0.217030\pi\) |
−0.922526 | + | 0.385934i | \(0.873879\pi\) | |||||||
\(864\) | 1.95262 | − | 4.81532i | 0.0664295 | − | 0.163820i | ||||
\(865\) | 24.3772 | − | 37.3184i | 0.828851 | − | 1.26886i | ||||
\(866\) | 8.56561 | + | 18.7561i | 0.291071 | + | 0.637357i | ||||
\(867\) | −29.1640 | + | 3.20882i | −0.990461 | + | 0.108977i | ||||
\(868\) | 10.0045 | + | 2.93758i | 0.339574 | + | 0.0997078i | ||||
\(869\) | 17.3108 | + | 14.9999i | 0.587230 | + | 0.508837i | ||||
\(870\) | 25.1199 | − | 2.57488i | 0.851643 | − | 0.0872966i | ||||
\(871\) | 2.05580 | + | 0.938851i | 0.0696580 | + | 0.0318118i | ||||
\(872\) | 10.2038 | − | 1.46709i | 0.345545 | − | 0.0496819i | ||||
\(873\) | −14.5530 | − | 19.2404i | −0.492545 | − | 0.651189i | ||||
\(874\) | 8.76114 | + | 24.9285i | 0.296350 | + | 0.843219i | ||||
\(875\) | 10.6791 | + | 9.67905i | 0.361019 | + | 0.327212i | ||||
\(876\) | 13.5433 | + | 4.47027i | 0.457585 | + | 0.151036i | ||||
\(877\) | 13.3529 | + | 6.09807i | 0.450896 | + | 0.205917i | 0.627902 | − | 0.778293i | \(-0.283914\pi\) |
−0.177006 | + | 0.984210i | \(0.556641\pi\) | |||||||
\(878\) | 17.1535 | − | 5.03673i | 0.578903 | − | 0.169981i | ||||
\(879\) | 15.9058 | + | 38.1315i | 0.536488 | + | 1.28614i | ||||
\(880\) | −0.104538 | + | 14.0525i | −0.00352396 | + | 0.473709i | ||||
\(881\) | −8.30378 | + | 5.33651i | −0.279761 | + | 0.179792i | −0.672995 | − | 0.739647i | \(-0.734993\pi\) |
0.393234 | + | 0.919438i | \(0.371356\pi\) | |||||||
\(882\) | 7.60497 | − | 14.0936i | 0.256073 | − | 0.474557i | ||||
\(883\) | −38.4263 | + | 33.2966i | −1.29315 | + | 1.12052i | −0.307530 | + | 0.951539i | \(0.599502\pi\) |
−0.985619 | + | 0.168981i | \(0.945952\pi\) | |||||||
\(884\) | −0.480018 | − | 0.308489i | −0.0161448 | − | 0.0103756i | ||||
\(885\) | 12.4829 | − | 36.8943i | 0.419609 | − | 1.24019i | ||||
\(886\) | −2.94678 | + | 20.4953i | −0.0989989 | + | 0.688553i | ||||
\(887\) | 15.5758 | + | 10.0099i | 0.522984 | + | 0.336101i | 0.775351 | − | 0.631530i | \(-0.217573\pi\) |
−0.252368 | + | 0.967631i | \(0.581209\pi\) | |||||||
\(888\) | 0.293580 | + | 1.13842i | 0.00985191 | + | 0.0382028i | ||||
\(889\) | −15.0696 | + | 6.88203i | −0.505417 | + | 0.230816i | ||||
\(890\) | −28.7692 | − | 25.3058i | −0.964346 | − | 0.848252i | ||||
\(891\) | −30.1049 | + | 47.8845i | −1.00855 | + | 1.60419i | ||||
\(892\) | 4.32713 | + | 3.74948i | 0.144883 | + | 0.125542i | ||||
\(893\) | −0.282564 | − | 0.962325i | −0.00945565 | − | 0.0322030i | ||||
\(894\) | −5.65531 | + | 4.58058i | −0.189142 | + | 0.153197i | ||||
\(895\) | 20.4295 | + | 45.6296i | 0.682882 | + | 1.52523i | ||||
\(896\) | −1.28911 | −0.0430663 | ||||||||
\(897\) | 19.2590 | − | 0.368925i | 0.643039 | − | 0.0123180i | ||||
\(898\) | 27.8603i | 0.929709i | ||||||||
\(899\) | −52.1986 | + | 7.50502i | −1.74092 | + | 0.250307i | ||||
\(900\) | −10.7111 | + | 10.5010i | −0.357038 | + | 0.350034i | ||||
\(901\) | 1.41667 | − | 0.415972i | 0.0471961 | − | 0.0138580i | ||||
\(902\) | 15.5026 | + | 13.4331i | 0.516179 | + | 0.447272i | ||||
\(903\) | −12.9612 | − | 12.0072i | −0.431320 | − | 0.399576i | ||||
\(904\) | −1.96266 | − | 3.05396i | −0.0652770 | − | 0.101573i | ||||
\(905\) | −7.84725 | − | 9.19352i | −0.260852 | − | 0.305603i | ||||
\(906\) | −1.71664 | − | 6.65662i | −0.0570316 | − | 0.221151i | ||||
\(907\) | 29.0317 | + | 18.6576i | 0.963983 | + | 0.619514i | 0.925098 | − | 0.379730i | \(-0.123983\pi\) |
0.0388851 | + | 0.999244i | \(0.487619\pi\) | |||||||
\(908\) | −3.64344 | − | 0.523848i | −0.120912 | − | 0.0173845i | ||||
\(909\) | 16.6974 | + | 30.2207i | 0.553817 | + | 1.00236i | ||||
\(910\) | 6.39949 | + | 1.93088i | 0.212141 | + | 0.0640081i | ||||
\(911\) | 10.7755 | + | 12.4356i | 0.357010 | + | 0.412011i | 0.905636 | − | 0.424057i | \(-0.139394\pi\) |
−0.548626 | + | 0.836068i | \(0.684849\pi\) | |||||||
\(912\) | −9.53768 | − | 0.316899i | −0.315824 | − | 0.0104936i | ||||
\(913\) | −8.13808 | − | 12.6631i | −0.269331 | − | 0.419088i | ||||
\(914\) | 29.2979 | + | 8.60264i | 0.969089 | + | 0.284550i | ||||
\(915\) | 8.25992 | − | 6.58906i | 0.273065 | − | 0.217828i | ||||
\(916\) | −4.38032 | − | 14.9180i | −0.144730 | − | 0.492905i | ||||
\(917\) | −23.0113 | − | 10.5089i | −0.759900 | − | 0.347034i | ||||
\(918\) | −0.412808 | − | 1.21009i | −0.0136247 | − | 0.0399391i | ||||
\(919\) | − | 44.0756i | − | 1.45392i | −0.686681 | − | 0.726959i | \(-0.740933\pi\) | ||
0.686681 | − | 0.726959i | \(-0.259067\pi\) | |||||||
\(920\) | 10.6725 | + | 1.04788i | 0.351861 | + | 0.0345475i | ||||
\(921\) | 9.59526 | − | 19.2885i | 0.316174 | − | 0.635579i | ||||
\(922\) | −1.97878 | + | 0.284506i | −0.0651677 | + | 0.00936969i | ||||
\(923\) | −7.66156 | + | 16.7765i | −0.252183 | + | 0.552204i | ||||
\(924\) | 13.8156 | + | 2.45716i | 0.454500 | + | 0.0808345i | ||||
\(925\) | 0.532919 | − | 3.35175i | 0.0175223 | − | 0.110205i | ||||
\(926\) | 10.3208 | − | 35.1493i | 0.339162 | − | 1.15508i | ||||
\(927\) | 25.0347 | + | 9.19593i | 0.822248 | + | 0.302034i | ||||
\(928\) | 5.93072 | − | 2.70847i | 0.194685 | − | 0.0889098i | ||||
\(929\) | −3.63156 | + | 3.14676i | −0.119147 | + | 0.103242i | −0.712397 | − | 0.701777i | \(-0.752390\pi\) |
0.593249 | + | 0.805019i | \(0.297845\pi\) | |||||||
\(930\) | 21.4595 | − | 22.8214i | 0.703683 | − | 0.748343i | ||||
\(931\) | −29.1120 | − | 4.18568i | −0.954108 | − | 0.137180i | ||||
\(932\) | 2.29624 | − | 15.9707i | 0.0752159 | − | 0.523138i | ||||
\(933\) | −18.9026 | + | 11.2791i | −0.618845 | + | 0.369261i | ||||
\(934\) | 10.7971 | − | 9.35573i | 0.353291 | − | 0.306129i | ||||
\(935\) | 2.24491 | + | 2.63005i | 0.0734165 | + | 0.0860117i | ||||
\(936\) | −2.39871 | + | 6.53018i | −0.0784044 | + | 0.213446i | ||||
\(937\) | 25.8605 | + | 7.59332i | 0.844824 | + | 0.248063i | 0.675374 | − | 0.737476i | \(-0.263982\pi\) |
0.169451 | + | 0.985539i | \(0.445801\pi\) | |||||||
\(938\) | 0.822748 | − | 0.949501i | 0.0268637 | − | 0.0310023i | ||||
\(939\) | 3.13222 | + | 0.557078i | 0.102216 | + | 0.0181796i | ||||
\(940\) | −0.402460 | − | 0.0609242i | −0.0131268 | − | 0.00198713i | ||||
\(941\) | −3.99713 | − | 27.8007i | −0.130303 | − | 0.906275i | −0.945159 | − | 0.326612i | \(-0.894093\pi\) |
0.814856 | − | 0.579664i | \(-0.196816\pi\) | |||||||
\(942\) | −8.99570 | − | 4.47499i | −0.293096 | − | 0.145803i | ||||
\(943\) | 11.2773 | − | 10.8560i | 0.367240 | − | 0.353520i | ||||
\(944\) | − | 10.0566i | − | 0.327313i | ||||||
\(945\) | 8.54262 | + | 12.3032i | 0.277892 | + | 0.400223i | ||||
\(946\) | −20.6587 | + | 45.2362i | −0.671671 | + | 1.47075i | ||||
\(947\) | 28.6264 | − | 8.40547i | 0.930234 | − | 0.273141i | 0.218699 | − | 0.975792i | \(-0.429819\pi\) |
0.711535 | + | 0.702651i | \(0.248001\pi\) | |||||||
\(948\) | 2.43029 | + | 5.82623i | 0.0789321 | + | 0.189227i | ||||
\(949\) | −18.3210 | − | 5.37953i | −0.594725 | − | 0.174627i | ||||
\(950\) | 24.8856 | + | 11.8154i | 0.807396 | + | 0.383344i | ||||
\(951\) | −0.0139660 | + | 0.420333i | −0.000452878 | + | 0.0136302i | ||||
\(952\) | −0.239724 | + | 0.207722i | −0.00776950 | + | 0.00673231i | ||||
\(953\) | 8.42763 | − | 13.1137i | 0.272998 | − | 0.424793i | −0.677501 | − | 0.735522i | \(-0.736937\pi\) |
0.950498 | + | 0.310729i | \(0.100573\pi\) | |||||||
\(954\) | −8.70560 | − | 15.7563i | −0.281854 | − | 0.510131i | ||||
\(955\) | 51.7435 | − | 7.04713i | 1.67438 | − | 0.228040i | ||||
\(956\) | −10.5772 | + | 16.4584i | −0.342090 | + | 0.532302i | ||||
\(957\) | −68.7227 | + | 17.7225i | −2.22149 | + | 0.572888i | ||||
\(958\) | 12.3191 | + | 26.9751i | 0.398012 | + | 0.871525i | ||||
\(959\) | −5.52829 | − | 8.60218i | −0.178518 | − | 0.277779i | ||||
\(960\) | −1.75075 | + | 3.45469i | −0.0565051 | + | 0.111500i | ||||
\(961\) | −22.5413 | + | 26.0141i | −0.727140 | + | 0.839165i | ||||
\(962\) | −0.443453 | − | 1.51026i | −0.0142975 | − | 0.0486928i | ||||
\(963\) | −9.66382 | − | 43.3842i | −0.311412 | − | 1.39804i | ||||
\(964\) | 8.77817 | − | 1.26211i | 0.282726 | − | 0.0406498i | ||||
\(965\) | −11.7237 | + | 3.34788i | −0.377401 | + | 0.107772i | ||||
\(966\) | 2.81951 | − | 10.3303i | 0.0907163 | − | 0.332373i | ||||
\(967\) | 0.693162i | 0.0222906i | 0.999938 | + | 0.0111453i | \(0.00354773\pi\) | ||||
−0.999938 | + | 0.0111453i | \(0.996452\pi\) | |||||||
\(968\) | −4.05549 | − | 28.2065i | −0.130348 | − | 0.906592i | ||||
\(969\) | −1.82469 | + | 1.47793i | −0.0586176 | + | 0.0474779i | ||||
\(970\) | 9.60858 | + | 15.1987i | 0.308513 | + | 0.487999i | ||||
\(971\) | 20.9124 | − | 24.1342i | 0.671111 | − | 0.774503i | −0.313439 | − | 0.949608i | \(-0.601481\pi\) |
0.984550 | + | 0.175105i | \(0.0560265\pi\) | |||||||
\(972\) | −13.3064 | + | 8.12035i | −0.426802 | + | 0.260460i | ||||
\(973\) | −8.24762 | + | 5.30042i | −0.264407 | + | 0.169924i | ||||
\(974\) | 1.79409 | − | 0.819332i | 0.0574863 | − | 0.0262531i | ||||
\(975\) | 13.8657 | − | 14.5276i | 0.444058 | − | 0.465256i | ||||
\(976\) | 1.47495 | − | 2.29507i | 0.0472120 | − | 0.0734633i | ||||
\(977\) | 50.9037 | + | 7.31885i | 1.62855 | + | 0.234151i | 0.895190 | − | 0.445684i | \(-0.147040\pi\) |
0.733365 | + | 0.679835i | \(0.237949\pi\) | |||||||
\(978\) | −10.6136 | − | 7.33009i | −0.339385 | − | 0.234391i | ||||
\(979\) | 90.5925 | + | 58.2203i | 2.89535 | + | 1.86073i | ||||
\(980\) | −6.52790 | + | 9.99337i | −0.208526 | + | 0.319227i | ||||
\(981\) | −27.2167 | − | 14.6862i | −0.868963 | − | 0.468896i | ||||
\(982\) | −2.60820 | − | 4.05844i | −0.0832310 | − | 0.129510i | ||||
\(983\) | −15.1927 | + | 51.7416i | −0.484572 | + | 1.65030i | 0.247359 | + | 0.968924i | \(0.420437\pi\) |
−0.731932 | + | 0.681378i | \(0.761381\pi\) | |||||||
\(984\) | 2.17643 | + | 5.21763i | 0.0693819 | + | 0.166332i | ||||
\(985\) | −3.41745 | − | 5.40564i | −0.108889 | − | 0.172238i | ||||
\(986\) | 0.666447 | − | 1.45932i | 0.0212240 | − | 0.0464741i | ||||
\(987\) | −0.127398 | + | 0.385971i | −0.00405514 | + | 0.0122856i | ||||
\(988\) | 12.7765 | 0.406473 | ||||||||
\(989\) | 32.9552 | + | 18.8178i | 1.04791 | + | 0.598370i | ||||
\(990\) | 25.3479 | − | 33.6873i | 0.805608 | − | 1.07065i | ||||
\(991\) | −6.51082 | − | 45.2837i | −0.206823 | − | 1.43849i | −0.783438 | − | 0.621469i | \(-0.786536\pi\) |
0.576615 | − | 0.817016i | \(-0.304373\pi\) | |||||||
\(992\) | 3.36003 | − | 7.35743i | 0.106681 | − | 0.233599i | ||||
\(993\) | 19.6096 | + | 3.48765i | 0.622292 | + | 0.110677i | ||||
\(994\) | 7.74847 | + | 6.71409i | 0.245767 | + | 0.212958i | ||||
\(995\) | −31.5180 | − | 0.234465i | −0.999188 | − | 0.00743305i | ||||
\(996\) | −0.453711 | − | 4.12364i | −0.0143764 | − | 0.130663i | ||||
\(997\) | −29.6476 | + | 13.5396i | −0.938949 | + | 0.428803i | −0.825285 | − | 0.564716i | \(-0.808986\pi\) |
−0.113663 | + | 0.993519i | \(0.536258\pi\) | |||||||
\(998\) | −9.44446 | − | 10.8995i | −0.298959 | − | 0.345017i | ||||
\(999\) | 1.32538 | − | 3.26849i | 0.0419332 | − | 0.103410i |
(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.n.a.89.6 | ✓ | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.12 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.19 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.13 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.13 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.19 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.12 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.89.13 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.6 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.a.659.13 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.b.89.12 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.89.19 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.12 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.b.659.19 | yes | 240 | 69.38 | even | 22 |