Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.18 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.18 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0732518 | + | 0.0281187i | −0.0517968 | + | 0.0198829i | −0.384128 | − | 0.923280i | \(-0.625498\pi\) |
0.332332 | + | 0.943163i | \(0.392165\pi\) | |||||||
\(3\) | −0.541154 | − | 0.0568776i | −0.312436 | − | 0.0328383i | −0.0529870 | − | 0.998595i | \(-0.516874\pi\) |
−0.259449 | + | 0.965757i | \(0.583541\pi\) | |||||||
\(4\) | −1.48171 | + | 1.33414i | −0.740857 | + | 0.667071i | ||||
\(5\) | 0.197759 | − | 0.197759i | 0.0884407 | − | 0.0884407i | −0.661502 | − | 0.749943i | \(-0.730081\pi\) |
0.749943 | + | 0.661502i | \(0.230081\pi\) | |||||||
\(6\) | 0.0412399 | − | 0.0110502i | 0.0168361 | − | 0.00451122i | ||||
\(7\) | −0.150499 | + | 2.87169i | −0.0568831 | + | 1.08539i | 0.809855 | + | 0.586631i | \(0.199546\pi\) |
−0.866738 | + | 0.498764i | \(0.833787\pi\) | |||||||
\(8\) | 0.142267 | − | 0.279215i | 0.0502990 | − | 0.0987173i | ||||
\(9\) | −2.64483 | − | 0.562176i | −0.881610 | − | 0.187392i | ||||
\(10\) | −0.00892549 | + | 0.0200470i | −0.00282249 | + | 0.00633941i | ||||
\(11\) | 0.792594 | − | 1.22049i | 0.238976 | − | 0.367991i | −0.698750 | − | 0.715366i | \(-0.746260\pi\) |
0.937726 | + | 0.347375i | \(0.112927\pi\) | |||||||
\(12\) | 0.877719 | − | 0.637700i | 0.253376 | − | 0.184088i | ||||
\(13\) | 0.248308 | − | 3.59699i | 0.0688681 | − | 0.997626i | ||||
\(14\) | −0.0697238 | − | 0.214588i | −0.0186345 | − | 0.0573510i | ||||
\(15\) | −0.118266 | + | 0.0957703i | −0.0305363 | + | 0.0247278i | ||||
\(16\) | 0.414257 | − | 3.94139i | 0.103564 | − | 0.985347i | ||||
\(17\) | −7.15523 | − | 1.52089i | −1.73540 | − | 0.368870i | −0.771725 | − | 0.635956i | \(-0.780606\pi\) |
−0.963673 | + | 0.267086i | \(0.913939\pi\) | |||||||
\(18\) | 0.209546 | − | 0.0331889i | 0.0493905 | − | 0.00782269i | ||||
\(19\) | −3.00845 | − | 2.43619i | −0.690186 | − | 0.558901i | 0.218779 | − | 0.975774i | \(-0.429793\pi\) |
−0.908965 | + | 0.416873i | \(0.863126\pi\) | |||||||
\(20\) | −0.0291839 | + | 0.556862i | −0.00652572 | + | 0.124518i | ||||
\(21\) | 0.244778 | − | 1.54547i | 0.0534149 | − | 0.337248i | ||||
\(22\) | −0.0237404 | + | 0.111690i | −0.00506146 | + | 0.0238123i | ||||
\(23\) | −5.17551 | + | 5.74798i | −1.07917 | + | 1.19854i | −0.100106 | + | 0.994977i | \(0.531918\pi\) |
−0.979062 | + | 0.203561i | \(0.934749\pi\) | |||||||
\(24\) | −0.0928695 | + | 0.143007i | −0.0189569 | + | 0.0291911i | ||||
\(25\) | 4.92178i | 0.984356i | ||||||||
\(26\) | 0.0829538 | + | 0.270468i | 0.0162686 | + | 0.0530432i | ||||
\(27\) | 2.95180 | + | 0.959097i | 0.568074 | + | 0.184578i | ||||
\(28\) | −3.60824 | − | 4.45580i | −0.681893 | − | 0.842068i | ||||
\(29\) | −1.97202 | + | 4.42924i | −0.366196 | + | 0.822489i | 0.632649 | + | 0.774438i | \(0.281967\pi\) |
−0.998845 | + | 0.0480504i | \(0.984699\pi\) | |||||||
\(30\) | 0.00597029 | − | 0.0103408i | 0.00109002 | − | 0.00188797i | ||||
\(31\) | 3.72786 | − | 4.13559i | 0.669543 | − | 0.742773i | ||||
\(32\) | 0.242694 | + | 0.905747i | 0.0429027 | + | 0.160115i | ||||
\(33\) | −0.498334 | + | 0.615391i | −0.0867488 | + | 0.107126i | ||||
\(34\) | 0.566899 | − | 0.0897879i | 0.0972223 | − | 0.0153985i | ||||
\(35\) | 0.538140 | + | 0.597665i | 0.0909623 | + | 0.101024i | ||||
\(36\) | 4.66890 | − | 2.69559i | 0.778151 | − | 0.449266i | ||||
\(37\) | −6.77625 | − | 1.81569i | −1.11401 | − | 0.298498i | −0.345552 | − | 0.938400i | \(-0.612308\pi\) |
−0.768457 | + | 0.639902i | \(0.778975\pi\) | |||||||
\(38\) | 0.288877 | + | 0.0938618i | 0.0468620 | + | 0.0152264i | ||||
\(39\) | −0.338961 | + | 1.93240i | −0.0542772 | + | 0.309432i | ||||
\(40\) | −0.0270827 | − | 0.0833520i | −0.00428215 | − | 0.0131791i | ||||
\(41\) | −1.54992 | + | 0.594960i | −0.242057 | + | 0.0929171i | −0.476372 | − | 0.879244i | \(-0.658049\pi\) |
0.234315 | + | 0.972161i | \(0.424715\pi\) | |||||||
\(42\) | 0.0255261 | + | 0.120091i | 0.00393876 | + | 0.0185304i | ||||
\(43\) | −0.499612 | − | 4.75349i | −0.0761902 | − | 0.724901i | −0.964218 | − | 0.265111i | \(-0.914591\pi\) |
0.888028 | − | 0.459790i | \(-0.152075\pi\) | |||||||
\(44\) | 0.453905 | + | 2.86585i | 0.0684288 | + | 0.432042i | ||||
\(45\) | −0.634215 | + | 0.411864i | −0.0945433 | + | 0.0613971i | ||||
\(46\) | 0.217489 | − | 0.566579i | 0.0320670 | − | 0.0835375i | ||||
\(47\) | −0.261026 | − | 1.64805i | −0.0380745 | − | 0.240393i | 0.961310 | − | 0.275468i | \(-0.0888329\pi\) |
−0.999385 | + | 0.0350752i | \(0.988833\pi\) | |||||||
\(48\) | −0.448354 | + | 2.10934i | −0.0647143 | + | 0.304457i | ||||
\(49\) | −1.26227 | − | 0.132670i | −0.180325 | − | 0.0189529i | ||||
\(50\) | −0.138394 | − | 0.360529i | −0.0195719 | − | 0.0509866i | ||||
\(51\) | 3.78558 | + | 1.23001i | 0.530087 | + | 0.172236i | ||||
\(52\) | 4.43097 | + | 5.66099i | 0.614466 | + | 0.785038i | ||||
\(53\) | 2.35030 | − | 0.763657i | 0.322838 | − | 0.104896i | −0.143115 | − | 0.989706i | \(-0.545712\pi\) |
0.465952 | + | 0.884810i | \(0.345712\pi\) | |||||||
\(54\) | −0.243193 | + | 0.0127452i | −0.0330944 | + | 0.00173440i | ||||
\(55\) | −0.0846200 | − | 0.398106i | −0.0114102 | − | 0.0536805i | ||||
\(56\) | 0.780406 | + | 0.450568i | 0.104286 | + | 0.0602096i | ||||
\(57\) | 1.48947 | + | 1.48947i | 0.197285 | + | 0.197285i | ||||
\(58\) | 0.0199097 | − | 0.379900i | 0.00261428 | − | 0.0498834i | ||||
\(59\) | 2.61828 | + | 1.00506i | 0.340871 | + | 0.130848i | 0.522781 | − | 0.852467i | \(-0.324895\pi\) |
−0.181910 | + | 0.983315i | \(0.558228\pi\) | |||||||
\(60\) | 0.0474660 | − | 0.299688i | 0.00612783 | − | 0.0386896i | ||||
\(61\) | −4.83941 | − | 2.79403i | −0.619623 | − | 0.357740i | 0.157099 | − | 0.987583i | \(-0.449786\pi\) |
−0.776722 | + | 0.629843i | \(0.783119\pi\) | |||||||
\(62\) | −0.156785 | + | 0.407762i | −0.0199117 | + | 0.0517858i | ||||
\(63\) | 2.01244 | − | 7.51051i | 0.253543 | − | 0.946235i | ||||
\(64\) | 4.61566 | + | 6.35291i | 0.576957 | + | 0.794113i | ||||
\(65\) | −0.662234 | − | 0.760444i | −0.0821400 | − | 0.0943215i | ||||
\(66\) | 0.0191998 | − | 0.0590910i | 0.00236334 | − | 0.00727360i | ||||
\(67\) | 15.0089 | + | 4.02162i | 1.83363 | + | 0.491319i | 0.998292 | − | 0.0584240i | \(-0.0186075\pi\) |
0.835334 | + | 0.549743i | \(0.185274\pi\) | |||||||
\(68\) | 12.6311 | − | 7.29256i | 1.53174 | − | 0.884353i | ||||
\(69\) | 3.12768 | − | 2.81618i | 0.376529 | − | 0.339028i | ||||
\(70\) | −0.0562253 | − | 0.0286482i | −0.00672021 | − | 0.00342412i | ||||
\(71\) | −8.47712 | + | 5.50510i | −1.00605 | + | 0.653336i | −0.938822 | − | 0.344402i | \(-0.888082\pi\) |
−0.0672263 | + | 0.997738i | \(0.521415\pi\) | |||||||
\(72\) | −0.533240 | + | 0.658496i | −0.0628429 | + | 0.0776046i | ||||
\(73\) | 5.19425 | + | 10.1943i | 0.607942 | + | 1.19315i | 0.965778 | + | 0.259368i | \(0.0835144\pi\) |
−0.357837 | + | 0.933784i | \(0.616486\pi\) | |||||||
\(74\) | 0.547427 | − | 0.0575369i | 0.0636372 | − | 0.00668853i | ||||
\(75\) | 0.279939 | − | 2.66344i | 0.0323246 | − | 0.307548i | ||||
\(76\) | 7.70789 | − | 0.403954i | 0.884156 | − | 0.0463367i | ||||
\(77\) | 3.38557 | + | 2.45976i | 0.385822 | + | 0.280316i | ||||
\(78\) | −0.0295073 | − | 0.151083i | −0.00334104 | − | 0.0171068i | ||||
\(79\) | −10.0341 | + | 3.26026i | −1.12892 | + | 0.366808i | −0.813165 | − | 0.582033i | \(-0.802257\pi\) |
−0.315754 | + | 0.948841i | \(0.602257\pi\) | |||||||
\(80\) | −0.697523 | − | 0.861370i | −0.0779855 | − | 0.0963041i | ||||
\(81\) | 5.86763 | + | 2.61244i | 0.651958 | + | 0.290271i | ||||
\(82\) | 0.0968051 | − | 0.0871637i | 0.0106903 | − | 0.00962562i | ||||
\(83\) | −11.3174 | − | 1.79250i | −1.24225 | − | 0.196752i | −0.499493 | − | 0.866318i | \(-0.666480\pi\) |
−0.742753 | + | 0.669566i | \(0.766480\pi\) | |||||||
\(84\) | 1.69918 | + | 2.61651i | 0.185396 | + | 0.285484i | ||||
\(85\) | −1.71578 | + | 1.11424i | −0.186103 | + | 0.120857i | ||||
\(86\) | 0.170260 | + | 0.334153i | 0.0183596 | + | 0.0360327i | ||||
\(87\) | 1.31909 | − | 2.28474i | 0.141422 | − | 0.244950i | ||||
\(88\) | −0.228018 | − | 0.394939i | −0.0243068 | − | 0.0421006i | ||||
\(89\) | −5.41995 | + | 8.34599i | −0.574513 | + | 0.884673i | −0.999792 | − | 0.0203895i | \(-0.993509\pi\) |
0.425279 | + | 0.905062i | \(0.360176\pi\) | |||||||
\(90\) | 0.0348763 | − | 0.0480031i | 0.00367629 | − | 0.00505997i | ||||
\(91\) | 10.2921 | + | 1.25440i | 1.07890 | + | 0.131497i | ||||
\(92\) | − | 15.4217i | − | 1.60783i | ||||||
\(93\) | −2.25257 | + | 2.02596i | −0.233581 | + | 0.210082i | ||||
\(94\) | 0.0654617 | + | 0.113383i | 0.00675186 | + | 0.0116946i | ||||
\(95\) | −1.07673 | + | 0.113169i | −0.110470 | + | 0.0116109i | ||||
\(96\) | −0.0798183 | − | 0.503953i | −0.00814642 | − | 0.0514345i | ||||
\(97\) | 2.66267 | + | 0.139545i | 0.270354 | + | 0.0141686i | 0.187031 | − | 0.982354i | \(-0.440114\pi\) |
0.0833225 | + | 0.996523i | \(0.473447\pi\) | |||||||
\(98\) | 0.0961942 | − | 0.0257752i | 0.00971708 | − | 0.00260368i | ||||
\(99\) | −2.78240 | + | 2.78240i | −0.279642 | + | 0.279642i | ||||
\(100\) | −6.56636 | − | 7.29268i | −0.656636 | − | 0.729268i | ||||
\(101\) | −0.882017 | − | 0.794171i | −0.0877639 | − | 0.0790230i | 0.624081 | − | 0.781360i | \(-0.285473\pi\) |
−0.711845 | + | 0.702337i | \(0.752140\pi\) | |||||||
\(102\) | −0.311887 | + | 0.0163453i | −0.0308814 | + | 0.00161842i | ||||
\(103\) | −1.55168 | − | 2.13570i | −0.152891 | − | 0.210437i | 0.725700 | − | 0.688011i | \(-0.241516\pi\) |
−0.878591 | + | 0.477575i | \(0.841516\pi\) | |||||||
\(104\) | −0.969007 | − | 0.581064i | −0.0950190 | − | 0.0569780i | ||||
\(105\) | −0.257223 | − | 0.354037i | −0.0251024 | − | 0.0345505i | ||||
\(106\) | −0.150690 | + | 0.122027i | −0.0146363 | + | 0.0118523i | ||||
\(107\) | 5.86201 | − | 6.51042i | 0.566702 | − | 0.629386i | −0.389874 | − | 0.920868i | \(-0.627482\pi\) |
0.956576 | + | 0.291482i | \(0.0941482\pi\) | |||||||
\(108\) | −5.65329 | + | 2.51701i | −0.543988 | + | 0.242199i | ||||
\(109\) | 5.28967 | − | 0.837802i | 0.506659 | − | 0.0802468i | 0.102128 | − | 0.994771i | \(-0.467435\pi\) |
0.404531 | + | 0.914524i | \(0.367435\pi\) | |||||||
\(110\) | 0.0173928 | + | 0.0267825i | 0.00165834 | + | 0.00255362i | ||||
\(111\) | 3.56373 | + | 1.36799i | 0.338254 | + | 0.129844i | ||||
\(112\) | 11.2561 | + | 1.78279i | 1.06360 | + | 0.168458i | ||||
\(113\) | 0.00838208 | + | 0.00930924i | 0.000788520 | + | 0.000875740i | 0.743539 | − | 0.668693i | \(-0.233146\pi\) |
−0.742750 | + | 0.669568i | \(0.766479\pi\) | |||||||
\(114\) | −0.150988 | − | 0.0672244i | −0.0141414 | − | 0.00629614i | ||||
\(115\) | 0.113212 | + | 2.16022i | 0.0105571 | + | 0.201442i | ||||
\(116\) | −2.98725 | − | 9.19383i | −0.277360 | − | 0.853625i | ||||
\(117\) | −2.67887 | + | 9.37384i | −0.247662 | + | 0.866611i | ||||
\(118\) | −0.220055 | −0.0202577 | ||||||||
\(119\) | 5.44437 | − | 20.3187i | 0.499085 | − | 1.86261i | ||||
\(120\) | 0.00991506 | + | 0.0466467i | 0.000905117 | + | 0.00425824i | ||||
\(121\) | 3.61272 | + | 8.11430i | 0.328429 | + | 0.737664i | ||||
\(122\) | 0.433060 | + | 0.0685900i | 0.0392074 | + | 0.00620985i | ||||
\(123\) | 0.872588 | − | 0.233809i | 0.0786786 | − | 0.0210819i | ||||
\(124\) | −0.00616212 | + | 11.1012i | −0.000553375 | + | 0.996922i | ||||
\(125\) | 1.96213 | + | 1.96213i | 0.175498 | + | 0.175498i | ||||
\(126\) | 0.0637715 | + | 0.606745i | 0.00568122 | + | 0.0540532i | ||||
\(127\) | −1.60089 | + | 15.2314i | −0.142056 | + | 1.35157i | 0.658620 | + | 0.752475i | \(0.271140\pi\) |
−0.800676 | + | 0.599097i | \(0.795526\pi\) | |||||||
\(128\) | −2.08958 | − | 1.35699i | −0.184695 | − | 0.119942i | ||||
\(129\) | 2.60079i | 0.228987i | ||||||||
\(130\) | 0.0698925 | + | 0.0370827i | 0.00612998 | + | 0.00325237i | ||||
\(131\) | 5.14001 | − | 15.8193i | 0.449084 | − | 1.38214i | −0.428857 | − | 0.903372i | \(-0.641084\pi\) |
0.877942 | − | 0.478767i | \(-0.158916\pi\) | |||||||
\(132\) | −0.0826304 | − | 1.57668i | −0.00719205 | − | 0.137233i | ||||
\(133\) | 7.44875 | − | 8.27268i | 0.645889 | − | 0.717332i | ||||
\(134\) | −1.21251 | + | 0.127440i | −0.104745 | + | 0.0110091i | ||||
\(135\) | 0.773416 | − | 0.394075i | 0.0665650 | − | 0.0339166i | ||||
\(136\) | −1.44261 | + | 1.78147i | −0.123703 | + | 0.152760i | ||||
\(137\) | −7.62072 | + | 19.8527i | −0.651082 | + | 1.69613i | 0.0647932 | + | 0.997899i | \(0.479361\pi\) |
−0.715875 | + | 0.698228i | \(0.753972\pi\) | |||||||
\(138\) | −0.149921 | + | 0.294236i | −0.0127621 | + | 0.0250471i | ||||
\(139\) | −5.82803 | − | 13.0900i | −0.494327 | − | 1.11028i | −0.972689 | − | 0.232114i | \(-0.925436\pi\) |
0.478361 | − | 0.878163i | \(-0.341231\pi\) | |||||||
\(140\) | −1.59474 | − | 0.167614i | −0.134780 | − | 0.0141660i | ||||
\(141\) | 0.0475180 | + | 0.906697i | 0.00400174 | + | 0.0763577i | ||||
\(142\) | 0.466167 | − | 0.641624i | 0.0391199 | − | 0.0538439i | ||||
\(143\) | −4.19327 | − | 3.15401i | −0.350659 | − | 0.263751i | ||||
\(144\) | −3.31139 | + | 10.1914i | −0.275949 | + | 0.849285i | ||||
\(145\) | 0.485937 | + | 1.26591i | 0.0403549 | + | 0.105128i | ||||
\(146\) | −0.667139 | − | 0.600695i | −0.0552128 | − | 0.0497139i | ||||
\(147\) | 0.675538 | + | 0.143590i | 0.0557174 | + | 0.0118431i | ||||
\(148\) | 12.4629 | − | 6.35014i | 1.02444 | − | 0.521979i | ||||
\(149\) | 0.426195 | + | 1.59058i | 0.0349153 | + | 0.130306i | 0.981184 | − | 0.193077i | \(-0.0618466\pi\) |
−0.946268 | + | 0.323382i | \(0.895180\pi\) | |||||||
\(150\) | 0.0543866 | + | 0.202974i | 0.00444065 | + | 0.0165727i | ||||
\(151\) | −2.50799 | − | 4.92222i | −0.204098 | − | 0.400564i | 0.766156 | − | 0.642655i | \(-0.222167\pi\) |
−0.970254 | + | 0.242090i | \(0.922167\pi\) | |||||||
\(152\) | −1.10822 | + | 0.493414i | −0.0898889 | + | 0.0400211i | ||||
\(153\) | 18.0694 | + | 8.04499i | 1.46082 | + | 0.650399i | ||||
\(154\) | −0.317164 | − | 0.0849840i | −0.0255578 | − | 0.00684820i | ||||
\(155\) | −0.0806322 | − | 1.55507i | −0.00647654 | − | 0.124906i | ||||
\(156\) | −2.07586 | − | 3.31549i | −0.166202 | − | 0.265452i | ||||
\(157\) | −15.1437 | + | 11.0026i | −1.20860 | + | 0.878100i | −0.995103 | − | 0.0988430i | \(-0.968486\pi\) |
−0.213498 | + | 0.976943i | \(0.568486\pi\) | |||||||
\(158\) | 0.643338 | − | 0.520965i | 0.0511812 | − | 0.0414457i | ||||
\(159\) | −1.31531 | + | 0.279577i | −0.104311 | + | 0.0221719i | ||||
\(160\) | 0.227115 | + | 0.131125i | 0.0179550 | + | 0.0103663i | ||||
\(161\) | −15.7275 | − | 15.7275i | −1.23950 | − | 1.23950i | ||||
\(162\) | −0.503272 | − | 0.0263754i | −0.0395408 | − | 0.00207225i | ||||
\(163\) | 4.84319 | + | 7.45786i | 0.379348 | + | 0.584145i | 0.975843 | − | 0.218472i | \(-0.0701072\pi\) |
−0.596495 | + | 0.802617i | \(0.703441\pi\) | |||||||
\(164\) | 1.50278 | − | 2.94938i | 0.117348 | − | 0.230308i | ||||
\(165\) | 0.0231492 | + | 0.220250i | 0.00180216 | + | 0.0171464i | ||||
\(166\) | 0.879422 | − | 0.186927i | 0.0682564 | − | 0.0145083i | ||||
\(167\) | −16.4631 | + | 6.31958i | −1.27395 | + | 0.489023i | −0.898970 | − | 0.438010i | \(-0.855684\pi\) |
−0.374979 | + | 0.927033i | \(0.622350\pi\) | |||||||
\(168\) | −0.396693 | − | 0.288214i | −0.0306055 | − | 0.0222362i | ||||
\(169\) | −12.8767 | − | 1.78632i | −0.990514 | − | 0.137409i | ||||
\(170\) | 0.0943531 | − | 0.129866i | 0.00723656 | − | 0.00996026i | ||||
\(171\) | 6.58727 | + | 8.13460i | 0.503741 | + | 0.622068i | ||||
\(172\) | 7.08212 | + | 6.37677i | 0.540006 | + | 0.486224i | ||||
\(173\) | 3.34103 | + | 7.50407i | 0.254014 | + | 0.570524i | 0.994873 | − | 0.101137i | \(-0.0322480\pi\) |
−0.740859 | + | 0.671661i | \(0.765581\pi\) | |||||||
\(174\) | −0.0323821 | + | 0.204452i | −0.00245488 | + | 0.0154995i | ||||
\(175\) | −14.1338 | − | 0.740722i | −1.06842 | − | 0.0559933i | ||||
\(176\) | −4.48208 | − | 3.62951i | −0.337849 | − | 0.273585i | ||||
\(177\) | −1.35973 | − | 0.692817i | −0.102204 | − | 0.0520753i | ||||
\(178\) | 0.162342 | − | 0.763761i | 0.0121681 | − | 0.0572463i | ||||
\(179\) | 5.79123 | − | 1.23096i | 0.432857 | − | 0.0920065i | 0.0136699 | − | 0.999907i | \(-0.495649\pi\) |
0.419187 | + | 0.907900i | \(0.362315\pi\) | |||||||
\(180\) | 0.390241 | − | 1.45640i | 0.0290868 | − | 0.108554i | ||||
\(181\) | 9.36026 | 0.695743 | 0.347872 | − | 0.937542i | \(-0.386905\pi\) | ||||
0.347872 | + | 0.937542i | \(0.386905\pi\) | |||||||
\(182\) | −0.789184 | + | 0.197512i | −0.0584982 | + | 0.0146406i | ||||
\(183\) | 2.45995 | + | 1.78726i | 0.181845 | + | 0.132118i | ||||
\(184\) | 0.868618 | + | 2.26283i | 0.0640354 | + | 0.166818i | ||||
\(185\) | −1.69914 | + | 0.980997i | −0.124923 | + | 0.0721244i | ||||
\(186\) | 0.108037 | − | 0.211745i | 0.00792168 | − | 0.0155259i | ||||
\(187\) | −7.52742 | + | 7.52742i | −0.550459 | + | 0.550459i | ||||
\(188\) | 2.58550 | + | 2.09370i | 0.188567 | + | 0.152699i | ||||
\(189\) | −3.19847 | + | 8.33229i | −0.232654 | + | 0.606085i | ||||
\(190\) | 0.0756902 | − | 0.0385661i | 0.00549114 | − | 0.00279788i | ||||
\(191\) | 6.84585 | − | 11.8574i | 0.495348 | − | 0.857969i | −0.504637 | − | 0.863332i | \(-0.668374\pi\) |
0.999986 | + | 0.00536284i | \(0.00170705\pi\) | |||||||
\(192\) | −2.13644 | − | 3.70043i | −0.154185 | − | 0.267056i | ||||
\(193\) | −7.31321 | − | 4.74925i | −0.526416 | − | 0.341859i | 0.253913 | − | 0.967227i | \(-0.418282\pi\) |
−0.780330 | + | 0.625368i | \(0.784949\pi\) | |||||||
\(194\) | −0.198969 | + | 0.0646491i | −0.0142852 | + | 0.00464153i | ||||
\(195\) | 0.315118 | + | 0.449184i | 0.0225661 | + | 0.0321667i | ||||
\(196\) | 2.04733 | − | 1.48747i | 0.146238 | − | 0.106248i | ||||
\(197\) | −21.1205 | − | 13.7158i | −1.50477 | − | 0.977211i | −0.993003 | − | 0.118088i | \(-0.962323\pi\) |
−0.511770 | − | 0.859123i | \(-0.671010\pi\) | |||||||
\(198\) | 0.125578 | − | 0.282054i | 0.00892447 | − | 0.0200447i | ||||
\(199\) | 8.42419 | − | 3.75069i | 0.597175 | − | 0.265879i | −0.0858104 | − | 0.996311i | \(-0.527348\pi\) |
0.682985 | + | 0.730432i | \(0.260681\pi\) | |||||||
\(200\) | 1.37423 | + | 0.700207i | 0.0971730 | + | 0.0495121i | ||||
\(201\) | −7.89338 | − | 3.02998i | −0.556756 | − | 0.213719i | ||||
\(202\) | 0.0869404 | + | 0.0333733i | 0.00611710 | + | 0.00234814i | ||||
\(203\) | −12.4226 | − | 6.32963i | −0.871895 | − | 0.444253i | ||||
\(204\) | −7.25015 | + | 3.22798i | −0.507612 | + | 0.226004i | ||||
\(205\) | −0.188853 | + | 0.424171i | −0.0131901 | + | 0.0296254i | ||||
\(206\) | 0.173716 | + | 0.112813i | 0.0121034 | + | 0.00786003i | ||||
\(207\) | 16.9197 | − | 12.2929i | 1.17600 | − | 0.854415i | ||||
\(208\) | −14.0743 | − | 2.46875i | −0.975875 | − | 0.171177i | ||||
\(209\) | −5.35782 | + | 1.74086i | −0.370608 | + | 0.120418i | ||||
\(210\) | 0.0287971 | + | 0.0187011i | 0.00198719 | + | 0.00129050i | ||||
\(211\) | −9.25131 | − | 16.0237i | −0.636886 | − | 1.10312i | −0.986112 | − | 0.166081i | \(-0.946889\pi\) |
0.349226 | − | 0.937039i | \(-0.386445\pi\) | |||||||
\(212\) | −2.46364 | + | 4.26715i | −0.169203 | + | 0.293069i | ||||
\(213\) | 4.90055 | − | 2.49695i | 0.335780 | − | 0.171088i | ||||
\(214\) | −0.246338 | + | 0.641732i | −0.0168393 | + | 0.0438679i | ||||
\(215\) | −1.03885 | − | 0.841245i | −0.0708491 | − | 0.0573724i | ||||
\(216\) | 0.687737 | − | 0.687737i | 0.0467946 | − | 0.0467946i | ||||
\(217\) | 11.3151 | + | 11.3276i | 0.768117 | + | 0.768970i | ||||
\(218\) | −0.363920 | + | 0.210109i | −0.0246478 | + | 0.0142304i | ||||
\(219\) | −2.23107 | − | 5.81213i | −0.150762 | − | 0.392747i | ||||
\(220\) | 0.656512 | + | 0.476984i | 0.0442620 | + | 0.0321582i | ||||
\(221\) | −7.24733 | + | 25.3596i | −0.487508 | + | 1.70587i | ||||
\(222\) | −0.299515 | −0.0201022 | ||||||||
\(223\) | 2.34947 | − | 8.76833i | 0.157332 | − | 0.587171i | −0.841563 | − | 0.540160i | \(-0.818364\pi\) |
0.998894 | − | 0.0470108i | \(-0.0149695\pi\) | |||||||
\(224\) | −2.63754 | + | 0.560627i | −0.176228 | + | 0.0374585i | ||||
\(225\) | 2.76691 | − | 13.0173i | 0.184461 | − | 0.867818i | ||||
\(226\) | −0.000875766 | 0 | 0.000446225i | −5.82551e−5 | 0 | 2.96825e-5i | ||||
\(227\) | −8.65427 | − | 7.00809i | −0.574404 | − | 0.465143i | 0.297567 | − | 0.954701i | \(-0.403825\pi\) |
−0.871971 | + | 0.489558i | \(0.837158\pi\) | |||||||
\(228\) | −4.19414 | − | 0.219805i | −0.277763 | − | 0.0145570i | ||||
\(229\) | 2.95382 | − | 18.6497i | 0.195194 | − | 1.23240i | −0.674299 | − | 0.738459i | \(-0.735554\pi\) |
0.869493 | − | 0.493946i | \(-0.164446\pi\) | |||||||
\(230\) | −0.0690357 | − | 0.155057i | −0.00455208 | − | 0.0102241i | ||||
\(231\) | −1.69221 | − | 1.52367i | −0.111339 | − | 0.100250i | ||||
\(232\) | 0.956155 | + | 1.18075i | 0.0627746 | + | 0.0775202i | ||||
\(233\) | 4.22622 | − | 5.81689i | 0.276869 | − | 0.381077i | −0.647825 | − | 0.761789i | \(-0.724321\pi\) |
0.924694 | + | 0.380712i | \(0.124321\pi\) | |||||||
\(234\) | −0.0673481 | − | 0.761977i | −0.00440268 | − | 0.0498120i | ||||
\(235\) | −0.377538 | − | 0.274297i | −0.0246279 | − | 0.0178932i | ||||
\(236\) | −5.22045 | + | 2.00394i | −0.339822 | + | 0.130445i | ||||
\(237\) | 5.61541 | − | 1.19359i | 0.364760 | − | 0.0775321i | ||||
\(238\) | 0.172525 | + | 1.64147i | 0.0111831 | + | 0.106401i | ||||
\(239\) | −3.62020 | + | 7.10505i | −0.234172 | + | 0.459588i | −0.977950 | − | 0.208839i | \(-0.933032\pi\) |
0.743779 | + | 0.668426i | \(0.233032\pi\) | |||||||
\(240\) | 0.328475 | + | 0.505808i | 0.0212030 | + | 0.0326497i | ||||
\(241\) | 16.6441 | + | 0.872281i | 1.07214 | + | 0.0561885i | 0.580227 | − | 0.814455i | \(-0.302964\pi\) |
0.491914 | + | 0.870644i | \(0.336297\pi\) | |||||||
\(242\) | −0.492802 | − | 0.492802i | −0.0316785 | − | 0.0316785i | ||||
\(243\) | −11.0904 | − | 6.40302i | −0.711447 | − | 0.410754i | ||||
\(244\) | 10.8983 | − | 2.31650i | 0.697690 | − | 0.148299i | ||||
\(245\) | −0.275863 | + | 0.223389i | −0.0176242 | + | 0.0142718i | ||||
\(246\) | −0.0573442 | + | 0.0416630i | −0.00365613 | + | 0.00265633i | ||||
\(247\) | −9.50999 | + | 10.2164i | −0.605106 | + | 0.650057i | ||||
\(248\) | −0.624366 | − | 1.62923i | −0.0396473 | − | 0.103456i | ||||
\(249\) | 6.02251 | + | 1.61373i | 0.381661 | + | 0.102266i | ||||
\(250\) | −0.198902 | − | 0.0885567i | −0.0125796 | − | 0.00560082i | ||||
\(251\) | 3.79180 | − | 1.68822i | 0.239336 | − | 0.106559i | −0.283564 | − | 0.958953i | \(-0.591517\pi\) |
0.522900 | + | 0.852394i | \(0.324850\pi\) | |||||||
\(252\) | 7.03823 | + | 13.8133i | 0.443367 | + | 0.870157i | ||||
\(253\) | 2.91327 | + | 10.8725i | 0.183155 | + | 0.683546i | ||||
\(254\) | −0.311021 | − | 1.16075i | −0.0195152 | − | 0.0728317i | ||||
\(255\) | 0.991880 | − | 0.505388i | 0.0621139 | − | 0.0316486i | ||||
\(256\) | −15.1708 | − | 3.22466i | −0.948177 | − | 0.201541i | ||||
\(257\) | −22.1593 | − | 19.9523i | −1.38226 | − | 1.24459i | −0.937064 | − | 0.349158i | \(-0.886468\pi\) |
−0.445195 | − | 0.895434i | \(-0.646866\pi\) | |||||||
\(258\) | −0.0731309 | − | 0.190513i | −0.00455293 | − | 0.0118608i | ||||
\(259\) | 6.23391 | − | 19.1860i | 0.387356 | − | 1.19216i | ||||
\(260\) | 1.99578 | + | 0.243247i | 0.123773 | + | 0.0150856i | ||||
\(261\) | 7.70568 | − | 10.6060i | 0.476969 | − | 0.656492i | ||||
\(262\) | 0.0683043 | + | 1.30332i | 0.00421985 | + | 0.0805196i | ||||
\(263\) | 19.4848 | + | 2.04793i | 1.20148 | + | 0.126281i | 0.684045 | − | 0.729440i | \(-0.260219\pi\) |
0.517437 | + | 0.855721i | \(0.326886\pi\) | |||||||
\(264\) | 0.100930 | + | 0.226692i | 0.00621180 | + | 0.0139519i | ||||
\(265\) | 0.313773 | − | 0.615813i | 0.0192749 | − | 0.0378291i | ||||
\(266\) | −0.313017 | + | 0.815438i | −0.0191923 | + | 0.0499977i | ||||
\(267\) | 3.40773 | − | 4.20819i | 0.208550 | − | 0.257537i | ||||
\(268\) | −27.6043 | + | 14.0651i | −1.68620 | + | 0.859162i | ||||
\(269\) | −18.6118 | + | 1.95617i | −1.13478 | + | 0.119270i | −0.653237 | − | 0.757153i | \(-0.726590\pi\) |
−0.481541 | + | 0.876423i | \(0.659923\pi\) | |||||||
\(270\) | −0.0455732 | + | 0.0506142i | −0.00277350 | + | 0.00308028i | ||||
\(271\) | −0.114488 | − | 2.18456i | −0.00695465 | − | 0.132703i | −0.999900 | − | 0.0141310i | \(-0.995502\pi\) |
0.992945 | − | 0.118572i | \(-0.0378315\pi\) | |||||||
\(272\) | −8.95852 | + | 27.5715i | −0.543190 | + | 1.67177i | ||||
\(273\) | −5.49824 | − | 1.26421i | −0.332769 | − | 0.0765137i | ||||
\(274\) | − | 1.66853i | − | 0.100799i | ||||||
\(275\) | 6.00697 | + | 3.90097i | 0.362234 | + | 0.235238i | ||||
\(276\) | −0.877152 | + | 8.34554i | −0.0527983 | + | 0.502342i | ||||
\(277\) | −0.0653943 | − | 0.622185i | −0.00392916 | − | 0.0373835i | 0.992382 | − | 0.123202i | \(-0.0393162\pi\) |
−0.996311 | + | 0.0858183i | \(0.972650\pi\) | |||||||
\(278\) | 0.794987 | + | 0.794987i | 0.0476802 | + | 0.0476802i | ||||
\(279\) | −12.1845 | + | 8.84221i | −0.729465 | + | 0.529369i | ||||
\(280\) | 0.243437 | − | 0.0652286i | 0.0145481 | − | 0.00389816i | ||||
\(281\) | −24.0414 | − | 3.80779i | −1.43419 | − | 0.227154i | −0.609523 | − | 0.792769i | \(-0.708639\pi\) |
−0.824669 | + | 0.565615i | \(0.808639\pi\) | |||||||
\(282\) | −0.0289759 | − | 0.0650810i | −0.00172549 | − | 0.00387552i | ||||
\(283\) | 3.30719 | + | 15.5591i | 0.196592 | + | 0.924894i | 0.960222 | + | 0.279239i | \(0.0900821\pi\) |
−0.763629 | + | 0.645655i | \(0.776585\pi\) | |||||||
\(284\) | 5.21608 | − | 19.4667i | 0.309517 | − | 1.15513i | ||||
\(285\) | 0.589114 | 0.0348961 | ||||||||
\(286\) | 0.395852 | + | 0.113127i | 0.0234072 | + | 0.00668935i | ||||
\(287\) | −1.47528 | − | 4.54043i | −0.0870827 | − | 0.268013i | ||||
\(288\) | −0.132696 | − | 2.53198i | −0.00781916 | − | 0.149198i | ||||
\(289\) | 33.3539 | + | 14.8501i | 1.96199 | + | 0.873536i | ||||
\(290\) | −0.0711915 | − | 0.0790662i | −0.00418051 | − | 0.00464293i | ||||
\(291\) | −1.43298 | − | 0.226962i | −0.0840028 | − | 0.0133047i | ||||
\(292\) | −21.2970 | − | 8.17517i | −1.24632 | − | 0.478416i | ||||
\(293\) | 17.6999 | + | 27.2555i | 1.03404 | + | 1.59228i | 0.780698 | + | 0.624908i | \(0.214864\pi\) |
0.253344 | + | 0.967376i | \(0.418470\pi\) | |||||||
\(294\) | −0.0535219 | + | 0.00847704i | −0.00312146 | + | 0.000494391i | ||||
\(295\) | 0.716551 | − | 0.319029i | 0.0417192 | − | 0.0185746i | ||||
\(296\) | −1.47101 | + | 1.63372i | −0.0855004 | + | 0.0949579i | ||||
\(297\) | 3.51014 | − | 2.84246i | 0.203679 | − | 0.164936i | ||||
\(298\) | −0.0759447 | − | 0.104529i | −0.00439936 | − | 0.00605520i | ||||
\(299\) | 19.3903 | + | 20.0435i | 1.12137 | + | 1.15915i | ||||
\(300\) | 3.13862 | + | 4.31994i | 0.181208 | + | 0.249412i | ||||
\(301\) | 13.7257 | − | 0.719335i | 0.791138 | − | 0.0414618i | ||||
\(302\) | 0.322122 | + | 0.290040i | 0.0185360 | + | 0.0166899i | ||||
\(303\) | 0.432137 | + | 0.479936i | 0.0248256 | + | 0.0275716i | ||||
\(304\) | −10.8483 | + | 10.8483i | −0.622190 | + | 0.622190i | ||||
\(305\) | −1.50959 | + | 0.404492i | −0.0864386 | + | 0.0231612i | ||||
\(306\) | −1.54983 | − | 0.0812230i | −0.0885977 | − | 0.00464321i | ||||
\(307\) | 3.78995 | + | 23.9288i | 0.216304 | + | 1.36569i | 0.821771 | + | 0.569818i | \(0.192986\pi\) |
−0.605468 | + | 0.795870i | \(0.707014\pi\) | |||||||
\(308\) | −8.29812 | + | 0.872167i | −0.472829 | + | 0.0496963i | ||||
\(309\) | 0.718223 | + | 1.24400i | 0.0408583 | + | 0.0707686i | ||||
\(310\) | 0.0496330 | + | 0.111644i | 0.00281897 | + | 0.00634097i | ||||
\(311\) | − | 14.4535i | − | 0.819581i | −0.912180 | − | 0.409791i | \(-0.865602\pi\) | ||
0.912180 | − | 0.409791i | \(-0.134398\pi\) | |||||||
\(312\) | 0.491333 | + | 0.369560i | 0.0278163 | + | 0.0209222i | ||||
\(313\) | 16.5131 | − | 22.7283i | 0.933376 | − | 1.28468i | −0.0251518 | − | 0.999684i | \(-0.508007\pi\) |
0.958528 | − | 0.284998i | \(-0.0919931\pi\) | |||||||
\(314\) | 0.799927 | − | 1.23178i | 0.0451425 | − | 0.0695134i | ||||
\(315\) | −1.08730 | − | 1.88325i | −0.0612622 | − | 0.106109i | ||||
\(316\) | 10.5180 | − | 18.2176i | 0.591681 | − | 1.02482i | ||||
\(317\) | 5.00302 | + | 9.81898i | 0.280997 | + | 0.551489i | 0.987764 | − | 0.155959i | \(-0.0498467\pi\) |
−0.706766 | + | 0.707447i | \(0.749847\pi\) | |||||||
\(318\) | 0.0884873 | − | 0.0574643i | 0.00496212 | − | 0.00322244i | ||||
\(319\) | 3.84281 | + | 5.91742i | 0.215156 | + | 0.331312i | ||||
\(320\) | 2.16914 | + | 0.343557i | 0.121258 | + | 0.0192054i | ||||
\(321\) | −3.54255 | + | 3.18973i | −0.197726 | + | 0.178033i | ||||
\(322\) | 1.59430 | + | 0.709830i | 0.0888471 | + | 0.0395573i | ||||
\(323\) | 17.8210 | + | 22.0071i | 0.991585 | + | 1.22451i | ||||
\(324\) | −12.1795 | + | 3.95736i | −0.676639 | + | 0.219853i | ||||
\(325\) | 17.7036 | + | 1.22212i | 0.982019 | + | 0.0677908i | ||||
\(326\) | −0.564478 | − | 0.410117i | −0.0312635 | − | 0.0227143i | ||||
\(327\) | −2.91018 | + | 0.152516i | −0.160933 | + | 0.00843416i | ||||
\(328\) | −0.0543814 | + | 0.517404i | −0.00300271 | + | 0.0285689i | ||||
\(329\) | 4.77197 | − | 0.501554i | 0.263087 | − | 0.0276516i | ||||
\(330\) | −0.00788886 | − | 0.0154828i | −0.000434267 | − | 0.000852297i | ||||
\(331\) | 10.7676 | − | 13.2968i | 0.591839 | − | 0.730860i | −0.389950 | − | 0.920836i | \(-0.627508\pi\) |
0.981789 | + | 0.189976i | \(0.0608410\pi\) | |||||||
\(332\) | 19.1606 | − | 12.4430i | 1.05157 | − | 0.682900i | ||||
\(333\) | 16.9013 | + | 8.61164i | 0.926185 | + | 0.471915i | ||||
\(334\) | 1.02825 | − | 0.925840i | 0.0562633 | − | 0.0506597i | ||||
\(335\) | 3.76346 | − | 2.17283i | 0.205620 | − | 0.118715i | ||||
\(336\) | −5.98988 | − | 1.60498i | −0.326775 | − | 0.0875590i | ||||
\(337\) | 4.75029 | − | 14.6199i | 0.258765 | − | 0.796396i | −0.734300 | − | 0.678825i | \(-0.762489\pi\) |
0.993065 | − | 0.117571i | \(-0.0375106\pi\) | |||||||
\(338\) | 0.993469 | − | 0.231225i | 0.0540376 | − | 0.0125770i | ||||
\(339\) | −0.00400651 | − | 0.00551449i | −0.000217604 | − | 0.000299506i | ||||
\(340\) | 1.05574 | − | 3.94009i | 0.0572557 | − | 0.213681i | ||||
\(341\) | −2.09275 | − | 7.82764i | −0.113329 | − | 0.423891i | ||||
\(342\) | −0.711264 | − | 0.410648i | −0.0384607 | − | 0.0222053i | ||||
\(343\) | −2.57797 | + | 16.2767i | −0.139197 | + | 0.878858i | ||||
\(344\) | −1.39832 | − | 0.536766i | −0.0753926 | − | 0.0289405i | ||||
\(345\) | 0.0616029 | − | 1.17545i | 0.00331659 | − | 0.0632843i | ||||
\(346\) | −0.455741 | − | 0.455741i | −0.0245008 | − | 0.0245008i | ||||
\(347\) | −3.41259 | − | 1.97026i | −0.183197 | − | 0.105769i | 0.405597 | − | 0.914052i | \(-0.367064\pi\) |
−0.588794 | + | 0.808283i | \(0.700397\pi\) | |||||||
\(348\) | 1.09364 | + | 5.14519i | 0.0586254 | + | 0.275811i | ||||
\(349\) | −5.03536 | + | 0.263892i | −0.269537 | + | 0.0141258i | −0.186626 | − | 0.982431i | \(-0.559755\pi\) |
−0.0829112 | + | 0.996557i | \(0.526422\pi\) | |||||||
\(350\) | 1.05615 | − | 0.343166i | 0.0564539 | − | 0.0183430i | ||||
\(351\) | 4.18282 | − | 10.3794i | 0.223262 | − | 0.554013i | ||||
\(352\) | 1.29781 | + | 0.421684i | 0.0691735 | + | 0.0224758i | ||||
\(353\) | −8.58278 | − | 22.3589i | −0.456815 | − | 1.19004i | −0.947797 | − | 0.318875i | \(-0.896695\pi\) |
0.490982 | − | 0.871170i | \(-0.336638\pi\) | |||||||
\(354\) | 0.119084 | + | 0.0125162i | 0.00632923 | + | 0.000665229i | ||||
\(355\) | −0.587743 | + | 2.76511i | −0.0311942 | + | 0.146757i | ||||
\(356\) | −3.10392 | − | 19.5973i | −0.164507 | − | 1.03866i | ||||
\(357\) | −4.10192 | + | 10.6859i | −0.217097 | + | 0.565557i | ||||
\(358\) | −0.389605 | + | 0.253012i | −0.0205912 | + | 0.0133721i | ||||
\(359\) | −5.78336 | − | 36.5147i | −0.305234 | − | 1.92717i | −0.369485 | − | 0.929237i | \(-0.620466\pi\) |
0.0642512 | − | 0.997934i | \(-0.479534\pi\) | |||||||
\(360\) | 0.0247707 | + | 0.235677i | 0.00130553 | + | 0.0124213i | ||||
\(361\) | −0.834596 | − | 3.92646i | −0.0439261 | − | 0.206656i | ||||
\(362\) | −0.685656 | + | 0.263199i | −0.0360373 | + | 0.0138334i | ||||
\(363\) | −1.49352 | − | 4.59657i | −0.0783893 | − | 0.241257i | ||||
\(364\) | −16.9234 | + | 11.8724i | −0.887029 | + | 0.622282i | ||||
\(365\) | 3.04323 | + | 0.988806i | 0.159290 | + | 0.0517565i | ||||
\(366\) | −0.230451 | − | 0.0617492i | −0.0120459 | − | 0.00322768i | ||||
\(367\) | 3.16201 | − | 1.82559i | 0.165056 | − | 0.0952949i | −0.415197 | − | 0.909732i | \(-0.636287\pi\) |
0.580252 | + | 0.814437i | \(0.302954\pi\) | |||||||
\(368\) | 20.5111 | + | 22.7798i | 1.06921 | + | 1.18748i | ||||
\(369\) | 4.43375 | − | 0.702238i | 0.230812 | − | 0.0365570i | ||||
\(370\) | 0.0968805 | − | 0.119637i | 0.00503657 | − | 0.00621965i | ||||
\(371\) | 1.83927 | + | 6.86424i | 0.0954900 | + | 0.356373i | ||||
\(372\) | 0.634747 | − | 6.00714i | 0.0329101 | − | 0.311456i | ||||
\(373\) | −13.4527 | + | 23.3007i | −0.696553 | + | 1.20647i | 0.273101 | + | 0.961985i | \(0.411951\pi\) |
−0.969654 | + | 0.244480i | \(0.921383\pi\) | |||||||
\(374\) | 0.339735 | − | 0.763058i | 0.0175673 | − | 0.0394568i | ||||
\(375\) | −0.950212 | − | 1.17341i | −0.0490687 | − | 0.0605948i | ||||
\(376\) | −0.497296 | − | 0.161581i | −0.0256461 | − | 0.00833291i | ||||
\(377\) | 15.4423 | + | 8.19316i | 0.795317 | + | 0.421969i | ||||
\(378\) | − | 0.700292i | − | 0.0360191i | ||||||
\(379\) | −0.889410 | + | 1.36957i | −0.0456859 | + | 0.0703502i | −0.860776 | − | 0.508985i | \(-0.830021\pi\) |
0.815090 | + | 0.579335i | \(0.196688\pi\) | |||||||
\(380\) | 1.44442 | − | 1.60419i | 0.0740973 | − | 0.0822934i | ||||
\(381\) | 1.73266 | − | 8.15151i | 0.0887667 | − | 0.417615i | ||||
\(382\) | −0.168057 | + | 1.06107i | −0.00859854 | + | 0.0542890i | ||||
\(383\) | 1.08365 | − | 20.6773i | 0.0553720 | − | 1.05656i | −0.819769 | − | 0.572694i | \(-0.805898\pi\) |
0.875141 | − | 0.483867i | \(-0.160768\pi\) | |||||||
\(384\) | 1.05360 | + | 0.853191i | 0.0537665 | + | 0.0435392i | ||||
\(385\) | 1.15597 | − | 0.183088i | 0.0589136 | − | 0.00933100i | ||||
\(386\) | 0.669249 | + | 0.142253i | 0.0340639 | + | 0.00724050i | ||||
\(387\) | −1.35091 | + | 12.8531i | −0.0686706 | + | 0.653357i | ||||
\(388\) | −4.13149 | + | 3.34562i | −0.209745 | + | 0.169848i | ||||
\(389\) | 10.4923 | + | 32.2919i | 0.531979 | + | 1.63726i | 0.750088 | + | 0.661338i | \(0.230011\pi\) |
−0.218109 | + | 0.975924i | \(0.569989\pi\) | |||||||
\(390\) | −0.0357135 | − | 0.0240428i | −0.00180842 | − | 0.00121745i | ||||
\(391\) | 45.7740 | − | 33.2568i | 2.31489 | − | 1.68187i | ||||
\(392\) | −0.216623 | + | 0.333570i | −0.0109411 | + | 0.0168478i | ||||
\(393\) | −3.68130 | + | 8.26834i | −0.185697 | + | 0.417083i | ||||
\(394\) | 1.93278 | + | 0.410826i | 0.0973723 | + | 0.0206971i | ||||
\(395\) | −1.33958 | + | 2.62908i | −0.0674016 | + | 0.132283i | ||||
\(396\) | 0.410607 | − | 7.83485i | 0.0206338 | − | 0.393716i | ||||
\(397\) | −19.5965 | + | 5.25086i | −0.983518 | + | 0.263533i | −0.714526 | − | 0.699609i | \(-0.753357\pi\) |
−0.268993 | + | 0.963142i | \(0.586691\pi\) | |||||||
\(398\) | −0.511622 | + | 0.511622i | −0.0256453 | + | 0.0256453i | ||||
\(399\) | −4.50146 | + | 4.05313i | −0.225355 | + | 0.202910i | ||||
\(400\) | 19.3987 | + | 2.03888i | 0.969933 | + | 0.101944i | ||||
\(401\) | −32.1483 | + | 12.3406i | −1.60541 | + | 0.616259i | −0.985691 | − | 0.168563i | \(-0.946087\pi\) |
−0.619720 | + | 0.784823i | \(0.712754\pi\) | |||||||
\(402\) | 0.663404 | 0.0330876 | ||||||||
\(403\) | −13.9500 | − | 14.4360i | −0.694900 | − | 0.719107i | ||||
\(404\) | 2.36643 | 0.117735 | ||||||||
\(405\) | 1.67701 | − | 0.643744i | 0.0833314 | − | 0.0319879i | ||||
\(406\) | 1.08796 | + | 0.114349i | 0.0539944 | + | 0.00567504i | ||||
\(407\) | −7.58684 | + | 6.83122i | −0.376066 | + | 0.338611i | ||||
\(408\) | 0.882000 | − | 0.882000i | 0.0436655 | − | 0.0436655i | ||||
\(409\) | 9.61500 | − | 2.57633i | 0.475431 | − | 0.127391i | −0.0131432 | − | 0.999914i | \(-0.504184\pi\) |
0.488574 | + | 0.872522i | \(0.337517\pi\) | |||||||
\(410\) | 0.00190668 | − | 0.0363816i | 9.41640e−5 | − | 0.00179676i | ||||
\(411\) | 5.25316 | − | 10.3099i | 0.259119 | − | 0.508550i | ||||
\(412\) | 5.14846 | + | 1.09434i | 0.253647 | + | 0.0539143i | ||||
\(413\) | −3.28028 | + | 7.36762i | −0.161412 | + | 0.362537i | ||||
\(414\) | −0.893739 | + | 1.37624i | −0.0439249 | + | 0.0676384i | ||||
\(415\) | −2.59260 | + | 1.88364i | −0.127266 | + | 0.0924641i | ||||
\(416\) | 3.31823 | − | 0.648065i | 0.162689 | − | 0.0317740i | ||||
\(417\) | 2.40934 | + | 7.41518i | 0.117986 | + | 0.363123i | ||||
\(418\) | 0.343519 | − | 0.278176i | 0.0168021 | − | 0.0136061i | ||||
\(419\) | 0.861080 | − | 8.19263i | 0.0420665 | − | 0.400236i | −0.953147 | − | 0.302508i | \(-0.902176\pi\) |
0.995213 | − | 0.0977275i | \(-0.0311574\pi\) | |||||||
\(420\) | 0.853467 | + | 0.181410i | 0.0416449 | + | 0.00885191i | ||||
\(421\) | −18.8373 | + | 2.98354i | −0.918076 | + | 0.145409i | −0.597551 | − | 0.801831i | \(-0.703859\pi\) |
−0.320525 | + | 0.947240i | \(0.603859\pi\) | |||||||
\(422\) | 1.12824 | + | 0.913632i | 0.0549220 | + | 0.0444749i | ||||
\(423\) | −0.236126 | + | 4.50556i | −0.0114809 | + | 0.219068i | ||||
\(424\) | 0.121145 | − | 0.764880i | 0.00588333 | − | 0.0371459i | ||||
\(425\) | 7.48549 | − | 35.2165i | 0.363100 | − | 1.70825i | ||||
\(426\) | −0.288763 | + | 0.320703i | −0.0139906 | + | 0.0155381i | ||||
\(427\) | 8.75191 | − | 13.4768i | 0.423535 | − | 0.652186i | ||||
\(428\) | 17.4673i | 0.844316i | ||||||||
\(429\) | 2.08982 | + | 1.94531i | 0.100897 | + | 0.0939204i | ||||
\(430\) | 0.0997524 | + | 0.0324115i | 0.00481049 | + | 0.00156302i | ||||
\(431\) | 20.2854 | + | 25.0503i | 0.977112 | + | 1.20663i | 0.978418 | + | 0.206634i | \(0.0662509\pi\) |
−0.00130632 | + | 0.999999i | \(0.500416\pi\) | |||||||
\(432\) | 5.00297 | − | 11.2369i | 0.240706 | − | 0.540634i | ||||
\(433\) | 1.43291 | − | 2.48187i | 0.0688611 | − | 0.119271i | −0.829539 | − | 0.558449i | \(-0.811397\pi\) |
0.898400 | + | 0.439178i | \(0.144730\pi\) | |||||||
\(434\) | −1.14737 | − | 0.511604i | −0.0550754 | − | 0.0245578i | ||||
\(435\) | −0.190965 | − | 0.712692i | −0.00915608 | − | 0.0341709i | ||||
\(436\) | −6.72004 | + | 8.29855i | −0.321831 | + | 0.397429i | ||||
\(437\) | 29.5735 | − | 4.68398i | 1.41469 | − | 0.224065i | ||||
\(438\) | 0.326859 | + | 0.363014i | 0.0156179 | + | 0.0173455i | ||||
\(439\) | 3.14980 | − | 1.81854i | 0.150332 | − | 0.0867941i | −0.422947 | − | 0.906154i | \(-0.639004\pi\) |
0.573279 | + | 0.819360i | \(0.305671\pi\) | |||||||
\(440\) | −0.123196 | − | 0.0330102i | −0.00587312 | − | 0.00157370i | ||||
\(441\) | 3.26391 | + | 1.06051i | 0.155424 | + | 0.0505004i | ||||
\(442\) | −0.182201 | − | 2.06142i | −0.00866643 | − | 0.0980520i | ||||
\(443\) | 0.310308 | + | 0.955030i | 0.0147432 | + | 0.0453748i | 0.958157 | − | 0.286242i | \(-0.0924060\pi\) |
−0.943414 | + | 0.331616i | \(0.892406\pi\) | |||||||
\(444\) | −7.10551 | + | 2.72755i | −0.337213 | + | 0.129444i | ||||
\(445\) | 0.578652 | + | 2.72234i | 0.0274307 | + | 0.129051i | ||||
\(446\) | 0.0744516 | + | 0.708360i | 0.00352538 | + | 0.0335418i | ||||
\(447\) | −0.140169 | − | 0.884992i | −0.00662977 | − | 0.0418587i | ||||
\(448\) | −18.9382 | + | 12.2986i | −0.894746 | + | 0.581055i | ||||
\(449\) | 5.12458 | − | 13.3500i | 0.241844 | − | 0.630025i | −0.757907 | − | 0.652363i | \(-0.773778\pi\) |
0.999750 | + | 0.0223382i | \(0.00711107\pi\) | |||||||
\(450\) | 0.163348 | + | 1.03134i | 0.00770031 | + | 0.0486179i | ||||
\(451\) | −0.502318 | + | 2.36322i | −0.0236532 | + | 0.111280i | ||||
\(452\) | −0.0248397 | − | 0.00261076i | −0.00116836 | − | 0.000122800i | ||||
\(453\) | 1.07725 | + | 2.80633i | 0.0506135 | + | 0.131853i | ||||
\(454\) | 0.831000 | + | 0.270008i | 0.0390007 | + | 0.0126721i | ||||
\(455\) | 2.28342 | − | 1.78728i | 0.107048 | − | 0.0837890i | ||||
\(456\) | 0.627785 | − | 0.203980i | 0.0293987 | − | 0.00955223i | ||||
\(457\) | −11.9138 | + | 0.624373i | −0.557302 | + | 0.0292070i | −0.328908 | − | 0.944362i | \(-0.606681\pi\) |
−0.228394 | + | 0.973569i | \(0.573347\pi\) | |||||||
\(458\) | 0.308033 | + | 1.44918i | 0.0143934 | + | 0.0677157i | ||||
\(459\) | −19.6621 | − | 11.3519i | −0.917748 | − | 0.529862i | ||||
\(460\) | −3.04979 | − | 3.04979i | −0.142197 | − | 0.142197i | ||||
\(461\) | 0.461752 | − | 8.81076i | 0.0215059 | − | 0.410358i | −0.966571 | − | 0.256398i | \(-0.917464\pi\) |
0.988077 | − | 0.153960i | \(-0.0492025\pi\) | |||||||
\(462\) | 0.166801 | + | 0.0640290i | 0.00776030 | + | 0.00297890i | ||||
\(463\) | 0.565074 | − | 3.56774i | 0.0262612 | − | 0.165807i | −0.971072 | − | 0.238786i | \(-0.923251\pi\) |
0.997333 | + | 0.0729790i | \(0.0232506\pi\) | |||||||
\(464\) | 16.6404 | + | 9.60735i | 0.772512 | + | 0.446010i | ||||
\(465\) | −0.0448142 | + | 0.846119i | −0.00207821 | + | 0.0392378i | ||||
\(466\) | −0.146014 | + | 0.544933i | −0.00676399 | + | 0.0252436i | ||||
\(467\) | 20.6083 | + | 28.3649i | 0.953638 | + | 1.31257i | 0.949892 | + | 0.312577i | \(0.101192\pi\) |
0.00374567 | + | 0.999993i | \(0.498808\pi\) | |||||||
\(468\) | −8.53670 | − | 17.4633i | −0.394609 | − | 0.807243i | ||||
\(469\) | −13.8076 | + | 42.4955i | −0.637577 | + | 1.96226i | ||||
\(470\) | 0.0353682 | + | 0.00947689i | 0.00163141 | + | 0.000437136i | ||||
\(471\) | 8.82090 | − | 5.09275i | 0.406446 | − | 0.234661i | ||||
\(472\) | 0.653124 | − | 0.588076i | 0.0300625 | − | 0.0270684i | ||||
\(473\) | −6.19757 | − | 3.15782i | −0.284964 | − | 0.145197i | ||||
\(474\) | −0.377776 | + | 0.245331i | −0.0173518 | + | 0.0112684i | ||||
\(475\) | 11.9904 | − | 14.8069i | 0.550158 | − | 0.679389i | ||||
\(476\) | 19.0410 | + | 37.3700i | 0.872742 | + | 1.71285i | ||||
\(477\) | −6.64544 | + | 0.698464i | −0.304274 | + | 0.0319805i | ||||
\(478\) | 0.0654014 | − | 0.622253i | 0.00299139 | − | 0.0284612i | ||||
\(479\) | 21.5678 | − | 1.13032i | 0.985458 | − | 0.0516457i | 0.447207 | − | 0.894430i | \(-0.352419\pi\) |
0.538251 | + | 0.842785i | \(0.319085\pi\) | |||||||
\(480\) | −0.115446 | − | 0.0838766i | −0.00526937 | − | 0.00382842i | ||||
\(481\) | −8.21362 | + | 23.9233i | −0.374509 | + | 1.09081i | ||||
\(482\) | −1.24374 | + | 0.404115i | −0.0566507 | + | 0.0184069i | ||||
\(483\) | 7.61646 | + | 9.40555i | 0.346561 | + | 0.427967i | ||||
\(484\) | −16.1786 | − | 7.20320i | −0.735393 | − | 0.327418i | ||||
\(485\) | 0.554165 | − | 0.498972i | 0.0251633 | − | 0.0226572i | ||||
\(486\) | 0.992433 | + | 0.157186i | 0.0450177 | + | 0.00713010i | ||||
\(487\) | 10.2759 | + | 15.8234i | 0.465644 | + | 0.717028i | 0.991001 | − | 0.133853i | \(-0.0427351\pi\) |
−0.525358 | + | 0.850882i | \(0.676068\pi\) | |||||||
\(488\) | −1.46862 | + | 0.953736i | −0.0664815 | + | 0.0431736i | ||||
\(489\) | −2.19673 | − | 4.31132i | −0.0993395 | − | 0.194965i | ||||
\(490\) | 0.0139260 | − | 0.0241206i | 0.000629114 | − | 0.00108966i | ||||
\(491\) | −6.10236 | − | 10.5696i | −0.275396 | − | 0.476999i | 0.694839 | − | 0.719165i | \(-0.255475\pi\) |
−0.970235 | + | 0.242166i | \(0.922142\pi\) | |||||||
\(492\) | −0.980991 | + | 1.51059i | −0.0442265 | + | 0.0681028i | ||||
\(493\) | 20.8467 | − | 28.6930i | 0.938887 | − | 1.29227i | ||||
\(494\) | 0.409351 | − | 1.01578i | 0.0184176 | − | 0.0457022i | ||||
\(495\) | 1.10049i | 0.0494635i | ||||||||
\(496\) | −14.7557 | − | 16.4061i | −0.662549 | − | 0.736657i | ||||
\(497\) | −14.5331 | − | 25.1721i | −0.651900 | − | 1.12912i | ||||
\(498\) | −0.486535 | + | 0.0511369i | −0.0218022 | + | 0.00229150i | ||||
\(499\) | −4.62629 | − | 29.2092i | −0.207101 | − | 1.30758i | −0.843877 | − | 0.536536i | \(-0.819733\pi\) |
0.636776 | − | 0.771049i | \(-0.280267\pi\) | |||||||
\(500\) | −5.52506 | − | 0.289556i | −0.247088 | − | 0.0129494i | ||||
\(501\) | 9.26850 | − | 2.48349i | 0.414086 | − | 0.110954i | ||||
\(502\) | −0.230286 | + | 0.230286i | −0.0102782 | + | 0.0102782i | ||||
\(503\) | 13.1050 | + | 14.5546i | 0.584322 | + | 0.648955i | 0.960725 | − | 0.277500i | \(-0.0895060\pi\) |
−0.376403 | + | 0.926456i | \(0.622839\pi\) | |||||||
\(504\) | −1.81074 | − | 1.63040i | −0.0806569 | − | 0.0726238i | ||||
\(505\) | −0.331482 | + | 0.0173722i | −0.0147508 | + | 0.000773054i | ||||
\(506\) | −0.519122 | − | 0.714510i | −0.0230778 | − | 0.0317638i | ||||
\(507\) | 6.86668 | + | 1.69907i | 0.304960 | + | 0.0754584i | ||||
\(508\) | −17.9488 | − | 24.7045i | −0.796351 | − | 1.09608i | ||||
\(509\) | −25.6382 | + | 20.7614i | −1.13639 | + | 0.920234i | −0.997541 | − | 0.0700788i | \(-0.977675\pi\) |
−0.138853 | + | 0.990313i | \(0.544342\pi\) | |||||||
\(510\) | −0.0584461 | + | 0.0649110i | −0.00258804 | + | 0.00287431i | ||||
\(511\) | −30.0565 | + | 13.3820i | −1.32962 | + | 0.591986i | ||||
\(512\) | 6.12369 | − | 0.969897i | 0.270631 | − | 0.0428638i | ||||
\(513\) | −6.54379 | − | 10.0765i | −0.288915 | − | 0.444890i | ||||
\(514\) | 2.18424 | + | 0.838452i | 0.0963428 | + | 0.0369825i | ||||
\(515\) | −0.729213 | − | 0.115496i | −0.0321330 | − | 0.00508936i | ||||
\(516\) | −3.46982 | − | 3.85363i | −0.152750 | − | 0.169647i | ||||
\(517\) | −2.21831 | − | 0.987657i | −0.0975613 | − | 0.0434371i | ||||
\(518\) | 0.0828409 | + | 1.58070i | 0.00363982 | + | 0.0694519i | ||||
\(519\) | −1.38120 | − | 4.25089i | −0.0606279 | − | 0.186593i | ||||
\(520\) | −0.306541 | + | 0.0767193i | −0.0134427 | + | 0.00336436i | ||||
\(521\) | −5.57446 | −0.244222 | −0.122111 | − | 0.992516i | \(-0.538966\pi\) | ||||
−0.122111 | + | 0.992516i | \(0.538966\pi\) | |||||||
\(522\) | −0.266229 | + | 0.993579i | −0.0116525 | + | 0.0434878i | ||||
\(523\) | 4.08338 | + | 19.2108i | 0.178554 | + | 0.840030i | 0.972657 | + | 0.232247i | \(0.0746076\pi\) |
−0.794103 | + | 0.607783i | \(0.792059\pi\) | |||||||
\(524\) | 13.4892 | + | 30.2972i | 0.589278 | + | 1.32354i | ||||
\(525\) | 7.60644 | + | 1.20474i | 0.331972 | + | 0.0525793i | ||||
\(526\) | −1.48488 | + | 0.397872i | −0.0647438 | + | 0.0173480i | ||||
\(527\) | −32.9634 | + | 23.9214i | −1.43591 | + | 1.04203i | ||||
\(528\) | 2.21906 | + | 2.21906i | 0.0965721 | + | 0.0965721i | ||||
\(529\) | −3.84928 | − | 36.6235i | −0.167360 | − | 1.59232i | ||||
\(530\) | −0.00566851 | + | 0.0539323i | −0.000246225 | + | 0.00234267i | ||||
\(531\) | −6.35989 | − | 4.13016i | −0.275996 | − | 0.179234i | ||||
\(532\) | 22.1954i | 0.962294i | ||||||||
\(533\) | 1.75521 | + | 5.72279i | 0.0760264 | + | 0.247882i | ||||
\(534\) | −0.131293 | + | 0.404079i | −0.00568161 | + | 0.0174862i | ||||
\(535\) | −0.128230 | − | 2.44677i | −0.00554385 | − | 0.105783i | ||||
\(536\) | 3.25816 | − | 3.61856i | 0.140731 | − | 0.156298i | ||||
\(537\) | −3.20396 | + | 0.336750i | −0.138261 | + | 0.0145318i | ||||
\(538\) | 1.30834 | − | 0.666632i | 0.0564065 | − | 0.0287405i | ||||
\(539\) | −1.16239 | + | 1.43543i | −0.0500677 | + | 0.0618285i | ||||
\(540\) | −0.620230 | + | 1.61575i | −0.0266904 | + | 0.0695309i | ||||
\(541\) | 7.58820 | − | 14.8927i | 0.326242 | − | 0.640286i | −0.668384 | − | 0.743816i | \(-0.733014\pi\) |
0.994626 | + | 0.103530i | \(0.0330138\pi\) | |||||||
\(542\) | 0.0698135 | + | 0.156804i | 0.00299875 | + | 0.00673530i | ||||
\(543\) | −5.06535 | − | 0.532390i | −0.217375 | − | 0.0228470i | ||||
\(544\) | −0.358990 | − | 6.84994i | −0.0153916 | − | 0.293689i | ||||
\(545\) | 0.880399 | − | 1.21177i | 0.0377122 | − | 0.0519063i | ||||
\(546\) | 0.438304 | − | 0.0619977i | 0.0187577 | − | 0.00265326i | ||||
\(547\) | −2.94169 | + | 9.05358i | −0.125777 | + | 0.387103i | −0.994042 | − | 0.108999i | \(-0.965236\pi\) |
0.868265 | + | 0.496102i | \(0.165236\pi\) | |||||||
\(548\) | −15.1945 | − | 39.5831i | −0.649078 | − | 1.69091i | ||||
\(549\) | 11.2287 | + | 10.1103i | 0.479228 | + | 0.431499i | ||||
\(550\) | −0.549712 | − | 0.116845i | −0.0234398 | − | 0.00498228i | ||||
\(551\) | 16.7232 | − | 8.52091i | 0.712433 | − | 0.363003i | ||||
\(552\) | −0.341352 | − | 1.27394i | −0.0145289 | − | 0.0542227i | ||||
\(553\) | −7.85233 | − | 29.3053i | −0.333915 | − | 1.24619i | ||||
\(554\) | 0.0222853 | + | 0.0437374i | 0.000946811 | + | 0.00185822i | ||||
\(555\) | 0.975293 | − | 0.434228i | 0.0413989 | − | 0.0184320i | ||||
\(556\) | 26.0994 | + | 11.6202i | 1.10686 | + | 0.492806i | ||||
\(557\) | −5.12096 | − | 1.37216i | −0.216982 | − | 0.0581401i | 0.148690 | − | 0.988884i | \(-0.452494\pi\) |
−0.365672 | + | 0.930744i | \(0.619161\pi\) | |||||||
\(558\) | 0.643903 | − | 0.990320i | 0.0272586 | − | 0.0419236i | ||||
\(559\) | −17.2223 | + | 0.616773i | −0.728427 | + | 0.0260867i | ||||
\(560\) | 2.57856 | − | 1.87343i | 0.108964 | − | 0.0791670i | ||||
\(561\) | 4.50164 | − | 3.64535i | 0.190059 | − | 0.153907i | ||||
\(562\) | 1.86815 | − | 0.397087i | 0.0788031 | − | 0.0167501i | ||||
\(563\) | 7.64030 | + | 4.41113i | 0.322000 | + | 0.185907i | 0.652284 | − | 0.757975i | \(-0.273811\pi\) |
−0.330284 | + | 0.943882i | \(0.607144\pi\) | |||||||
\(564\) | −1.28007 | − | 1.28007i | −0.0539007 | − | 0.0539007i | ||||
\(565\) | 0.00349863 | 0.000183355i | 0.000147188 | 7.71381e-6i | ||||||
\(566\) | −0.679760 | − | 1.04674i | −0.0285725 | − | 0.0439977i | ||||
\(567\) | −8.38516 | + | 16.4568i | −0.352144 | + | 0.691121i | ||||
\(568\) | 0.331092 | + | 3.15013i | 0.0138923 | + | 0.132177i | ||||
\(569\) | −29.8386 | + | 6.34239i | −1.25090 | + | 0.265887i | −0.785304 | − | 0.619111i | \(-0.787493\pi\) |
−0.465596 | + | 0.884998i | \(0.654160\pi\) | |||||||
\(570\) | −0.0431536 | + | 0.0165651i | −0.00180751 | + | 0.000693837i | ||||
\(571\) | −24.2622 | − | 17.6275i | −1.01534 | − | 0.737690i | −0.0500197 | − | 0.998748i | \(-0.515928\pi\) |
−0.965323 | + | 0.261059i | \(0.915928\pi\) | |||||||
\(572\) | 10.4211 | − | 0.921082i | 0.435729 | − | 0.0385124i | ||||
\(573\) | −4.37908 | + | 6.02729i | −0.182939 | + | 0.251794i | ||||
\(574\) | 0.235738 | + | 0.291112i | 0.00983950 | + | 0.0121508i | ||||
\(575\) | −28.2903 | − | 25.4727i | −1.17979 | − | 1.06229i | ||||
\(576\) | −8.63617 | − | 19.3972i | −0.359841 | − | 0.808215i | ||||
\(577\) | −3.24419 | + | 20.4830i | −0.135057 | + | 0.852718i | 0.823396 | + | 0.567467i | \(0.192077\pi\) |
−0.958453 | + | 0.285250i | \(0.907923\pi\) | |||||||
\(578\) | −2.86080 | − | 0.149928i | −0.118994 | − | 0.00623619i | ||||
\(579\) | 3.68745 | + | 2.98604i | 0.153245 | + | 0.124096i | ||||
\(580\) | −2.40892 | − | 1.22741i | −0.100025 | − | 0.0509653i | ||||
\(581\) | 6.85075 | − | 32.2302i | 0.284217 | − | 1.33714i | ||||
\(582\) | 0.111350 | − | 0.0236682i | 0.00461562 | − | 0.000981080i | ||||
\(583\) | 0.930795 | − | 3.47377i | 0.0385496 | − | 0.143869i | ||||
\(584\) | 3.58537 | 0.148364 | ||||||||
\(585\) | 1.32399 | + | 2.38354i | 0.0547403 | + | 0.0985471i | ||||
\(586\) | −2.06294 | − | 1.49882i | −0.0852194 | − | 0.0619155i | ||||
\(587\) | 7.99215 | + | 20.8203i | 0.329871 | + | 0.859345i | 0.993763 | + | 0.111515i | \(0.0355705\pi\) |
−0.663891 | + | 0.747829i | \(0.731096\pi\) | |||||||
\(588\) | −1.19252 | + | 0.688504i | −0.0491789 | + | 0.0283934i | ||||
\(589\) | −21.2902 | + | 3.35992i | −0.877246 | + | 0.138443i | ||||
\(590\) | −0.0435179 | + | 0.0435179i | −0.00179161 | + | 0.00179161i | ||||
\(591\) | 10.6493 | + | 8.62365i | 0.438055 | + | 0.354730i | ||||
\(592\) | −9.96345 | + | 25.9557i | −0.409495 | + | 1.06677i | ||||
\(593\) | −29.4087 | + | 14.9845i | −1.20767 | + | 0.615339i | −0.937672 | − | 0.347521i | \(-0.887023\pi\) |
−0.269999 | + | 0.962861i | \(0.587023\pi\) | |||||||
\(594\) | −0.177198 | + | 0.306916i | −0.00727051 | + | 0.0125929i | ||||
\(595\) | −2.94153 | − | 5.09488i | −0.120591 | − | 0.208870i | ||||
\(596\) | −2.75356 | − | 1.78818i | −0.112790 | − | 0.0732469i | ||||
\(597\) | −4.77212 | + | 1.55056i | −0.195310 | + | 0.0634600i | ||||
\(598\) | −1.98397 | − | 0.922993i | −0.0811308 | − | 0.0377440i | ||||
\(599\) | 15.8924 | − | 11.5465i | 0.649345 | − | 0.471777i | −0.213703 | − | 0.976899i | \(-0.568553\pi\) |
0.863048 | + | 0.505122i | \(0.168553\pi\) | |||||||
\(600\) | −0.703847 | − | 0.457084i | −0.0287344 | − | 0.0186604i | ||||
\(601\) | −2.62736 | + | 5.90116i | −0.107172 | + | 0.240713i | −0.959169 | − | 0.282835i | \(-0.908725\pi\) |
0.851996 | + | 0.523548i | \(0.175392\pi\) | |||||||
\(602\) | −0.985207 | + | 0.438643i | −0.0401541 | + | 0.0178777i | ||||
\(603\) | −37.4351 | − | 19.0741i | −1.52447 | − | 0.776758i | ||||
\(604\) | 10.2831 | + | 3.94730i | 0.418412 | + | 0.160613i | ||||
\(605\) | 2.31913 | + | 0.890230i | 0.0942860 | + | 0.0361930i | ||||
\(606\) | −0.0451500 | − | 0.0230051i | −0.00183409 | − | 0.000934517i | ||||
\(607\) | 1.51897 | − | 0.676288i | 0.0616530 | − | 0.0274497i | −0.375679 | − | 0.926750i | \(-0.622590\pi\) |
0.437331 | + | 0.899300i | \(0.355924\pi\) | |||||||
\(608\) | 1.47644 | − | 3.31614i | 0.0598776 | − | 0.134487i | ||||
\(609\) | 6.36253 | + | 4.13187i | 0.257823 | + | 0.167432i | ||||
\(610\) | 0.0992060 | − | 0.0720774i | 0.00401673 | − | 0.00291833i | ||||
\(611\) | −5.99284 | + | 0.529684i | −0.242444 | + | 0.0214287i | ||||
\(612\) | −37.5068 | + | 12.1867i | −1.51612 | + | 0.492618i | ||||
\(613\) | 13.0008 | + | 8.44283i | 0.525098 | + | 0.341003i | 0.779812 | − | 0.626014i | \(-0.215315\pi\) |
−0.254714 | + | 0.967016i | \(0.581981\pi\) | |||||||
\(614\) | −0.950467 | − | 1.64626i | −0.0383577 | − | 0.0664375i | ||||
\(615\) | 0.126324 | − | 0.218800i | 0.00509389 | − | 0.00882288i | ||||
\(616\) | 1.16846 | − | 0.595358i | 0.0470785 | − | 0.0239877i | ||||
\(617\) | 6.22504 | − | 16.2168i | 0.250611 | − | 0.652864i | −0.749346 | − | 0.662179i | \(-0.769632\pi\) |
0.999957 | + | 0.00931538i | \(0.00296522\pi\) | |||||||
\(618\) | −0.0875908 | − | 0.0709296i | −0.00352342 | − | 0.00285321i | ||||
\(619\) | −6.42751 | + | 6.42751i | −0.258343 | + | 0.258343i | −0.824380 | − | 0.566037i | \(-0.808476\pi\) |
0.566037 | + | 0.824380i | \(0.308476\pi\) | |||||||
\(620\) | 2.19416 | + | 2.19659i | 0.0881195 | + | 0.0882174i | ||||
\(621\) | −20.7899 | + | 12.0031i | −0.834271 | + | 0.481666i | ||||
\(622\) | 0.406413 | + | 1.05874i | 0.0162957 | + | 0.0424517i | ||||
\(623\) | −23.1514 | − | 16.8204i | −0.927539 | − | 0.673897i | ||||
\(624\) | 7.47594 | + | 2.13649i | 0.299277 | + | 0.0855280i | ||||
\(625\) | −23.8329 | −0.953314 | ||||||||
\(626\) | −0.570523 | + | 2.12922i | −0.0228027 | + | 0.0851007i | ||||
\(627\) | 2.99843 | − | 0.637335i | 0.119746 | − | 0.0254527i | ||||
\(628\) | 7.75971 | − | 36.5065i | 0.309646 | − | 1.45677i | ||||
\(629\) | 45.7242 | + | 23.2976i | 1.82314 | + | 0.928937i | ||||
\(630\) | 0.132601 | + | 0.107378i | 0.00528295 | + | 0.00427805i | ||||
\(631\) | −25.4074 | − | 1.33155i | −1.01145 | − | 0.0530080i | −0.460598 | − | 0.887609i | \(-0.652365\pi\) |
−0.550855 | + | 0.834601i | \(0.685698\pi\) | |||||||
\(632\) | −0.517202 | + | 3.26548i | −0.0205732 | + | 0.129894i | ||||
\(633\) | 4.09500 | + | 9.19751i | 0.162761 | + | 0.365568i | ||||
\(634\) | −0.642577 | − | 0.578579i | −0.0255200 | − | 0.0229783i | ||||
\(635\) | 2.69557 | + | 3.32875i | 0.106970 | + | 0.132098i | ||||
\(636\) | 1.57591 | − | 2.16906i | 0.0624891 | − | 0.0860088i | ||||
\(637\) | −0.790645 | + | 4.50744i | −0.0313265 | + | 0.178591i | ||||
\(638\) | −0.447883 | − | 0.325406i | −0.0177319 | − | 0.0128830i | ||||
\(639\) | 25.5154 | − | 9.79443i | 1.00937 | − | 0.387462i | ||||
\(640\) | −0.681591 | + | 0.144877i | −0.0269423 | + | 0.00572676i | ||||
\(641\) | 3.65112 | + | 34.7381i | 0.144210 | + | 1.37207i | 0.792126 | + | 0.610358i | \(0.208974\pi\) |
−0.647915 | + | 0.761712i | \(0.724359\pi\) | |||||||
\(642\) | 0.169807 | − | 0.333265i | 0.00670175 | − | 0.0131529i | ||||
\(643\) | 13.9332 | + | 21.4553i | 0.549474 | + | 0.846115i | 0.998885 | − | 0.0472098i | \(-0.0150329\pi\) |
−0.449411 | + | 0.893325i | \(0.648366\pi\) | |||||||
\(644\) | 44.2864 | + | 2.32095i | 1.74513 | + | 0.0914582i | ||||
\(645\) | 0.514331 | + | 0.514331i | 0.0202518 | + | 0.0202518i | ||||
\(646\) | −1.92423 | − | 1.11095i | −0.0757077 | − | 0.0437099i | ||||
\(647\) | 20.8070 | − | 4.42266i | 0.818007 | − | 0.173873i | 0.220140 | − | 0.975468i | \(-0.429348\pi\) |
0.597867 | + | 0.801595i | \(0.296015\pi\) | |||||||
\(648\) | 1.56420 | − | 1.26666i | 0.0614476 | − | 0.0497593i | ||||
\(649\) | 3.30190 | − | 2.39897i | 0.129611 | − | 0.0941679i | ||||
\(650\) | −1.33119 | + | 0.408281i | −0.0522134 | + | 0.0160141i | ||||
\(651\) | −5.47891 | − | 6.77357i | −0.214735 | − | 0.265477i | ||||
\(652\) | −17.1261 | − | 4.58892i | −0.670709 | − | 0.179716i | ||||
\(653\) | −24.5936 | − | 10.9498i | −0.962423 | − | 0.428498i | −0.135477 | − | 0.990780i | \(-0.543257\pi\) |
−0.826945 | + | 0.562282i | \(0.809923\pi\) | |||||||
\(654\) | 0.208887 | − | 0.0930027i | 0.00816815 | − | 0.00363669i | ||||
\(655\) | −2.11193 | − | 4.14490i | −0.0825200 | − | 0.161955i | ||||
\(656\) | 1.70290 | + | 6.35531i | 0.0664871 | + | 0.248133i | ||||
\(657\) | −8.00693 | − | 29.8823i | −0.312380 | − | 1.16582i | ||||
\(658\) | −0.335452 | + | 0.170921i | −0.0130773 | + | 0.00666321i | ||||
\(659\) | 6.34161 | + | 1.34795i | 0.247034 | + | 0.0525087i | 0.329764 | − | 0.944063i | \(-0.393031\pi\) |
−0.0827303 | + | 0.996572i | \(0.526364\pi\) | |||||||
\(660\) | −0.328145 | − | 0.295463i | −0.0127730 | − | 0.0115009i | ||||
\(661\) | −3.66918 | − | 9.55855i | −0.142715 | − | 0.371784i | 0.843529 | − | 0.537084i | \(-0.180474\pi\) |
−0.986243 | + | 0.165300i | \(0.947141\pi\) | |||||||
\(662\) | −0.414853 | + | 1.27679i | −0.0161237 | + | 0.0496237i | ||||
\(663\) | 5.36432 | − | 13.3113i | 0.208333 | − | 0.516967i | ||||
\(664\) | −2.11058 | + | 2.90497i | −0.0819066 | + | 0.112735i | ||||
\(665\) | −0.162939 | − | 3.10906i | −0.00631850 | − | 0.120564i | ||||
\(666\) | −1.48020 | − | 0.155575i | −0.0573565 | − | 0.00602841i | ||||
\(667\) | −15.2530 | − | 34.2587i | −0.590597 | − | 1.32650i | ||||
\(668\) | 15.9623 | − | 31.3279i | 0.617602 | − | 1.21211i | ||||
\(669\) | −1.77015 | + | 4.61139i | −0.0684378 | + | 0.178287i | ||||
\(670\) | −0.214583 | + | 0.264988i | −0.00829005 | + | 0.0102374i | ||||
\(671\) | −7.24577 | + | 3.69190i | −0.279720 | + | 0.142524i | ||||
\(672\) | 1.45921 | − | 0.153369i | 0.0562901 | − | 0.00591633i | ||||
\(673\) | 13.7613 | − | 15.2835i | 0.530460 | − | 0.589135i | −0.417042 | − | 0.908887i | \(-0.636933\pi\) |
0.947501 | + | 0.319752i | \(0.103600\pi\) | |||||||
\(674\) | 0.0631254 | + | 1.20450i | 0.00243150 | + | 0.0463958i | ||||
\(675\) | −4.72047 | + | 14.5281i | −0.181691 | + | 0.559187i | ||||
\(676\) | 21.4628 | − | 14.5325i | 0.825491 | − | 0.558943i | ||||
\(677\) | − | 9.80973i | − | 0.377019i | −0.982071 | − | 0.188509i | \(-0.939634\pi\) | ||
0.982071 | − | 0.188509i | \(-0.0603656\pi\) | |||||||
\(678\) | 0.000448545 | 0 | 0.000291288i | 1.72263e−5 | 0 | 1.11869e-5i | ||||
\(679\) | −0.801457 | + | 7.62536i | −0.0307571 | + | 0.292634i | ||||
\(680\) | 0.0670137 | + | 0.637592i | 0.00256986 | + | 0.0244505i | ||||
\(681\) | 4.28469 | + | 4.28469i | 0.164190 | + | 0.164190i | ||||
\(682\) | 0.373401 | + | 0.514543i | 0.0142983 | + | 0.0197029i | ||||
\(683\) | −37.3690 | + | 10.0130i | −1.42989 | + | 0.383137i | −0.888980 | − | 0.457947i | \(-0.848585\pi\) |
−0.540906 | + | 0.841083i | \(0.681918\pi\) | |||||||
\(684\) | −20.6132 | − | 3.26480i | −0.788164 | − | 0.124833i | ||||
\(685\) | 2.41898 | + | 5.43312i | 0.0924245 | + | 0.207589i | ||||
\(686\) | −0.268838 | − | 1.26478i | −0.0102643 | − | 0.0482897i | ||||
\(687\) | −2.65922 | + | 9.92435i | −0.101456 | + | 0.378637i | ||||
\(688\) | −18.9423 | −0.722170 | ||||||||
\(689\) | −2.16327 | − | 8.64361i | −0.0824141 | − | 0.329295i | ||||
\(690\) | 0.0285397 | + | 0.0878363i | 0.00108649 | + | 0.00334387i | ||||
\(691\) | 0.0842888 | + | 1.60833i | 0.00320650 | + | 0.0611836i | 0.999764 | − | 0.0217196i | \(-0.00691410\pi\) |
−0.996558 | + | 0.0829032i | \(0.973581\pi\) | |||||||
\(692\) | −14.9619 | − | 6.66149i | −0.568768 | − | 0.253232i | ||||
\(693\) | −7.57144 | − | 8.40893i | −0.287615 | − | 0.319429i | ||||
\(694\) | 0.305379 | + | 0.0483673i | 0.0115920 | + | 0.00183600i | ||||
\(695\) | −3.74121 | − | 1.43612i | −0.141912 | − | 0.0544750i | ||||
\(696\) | −0.450269 | − | 0.693353i | −0.0170674 | − | 0.0262815i | ||||
\(697\) | 11.9949 | − | 1.89981i | 0.454340 | − | 0.0719604i | ||||
\(698\) | 0.361429 | − | 0.160919i | 0.0136803 | − | 0.00609086i | ||||
\(699\) | −2.61789 | + | 2.90746i | −0.0990176 | + | 0.109970i | ||||
\(700\) | 21.9305 | − | 17.7590i | 0.828895 | − | 0.671226i | ||||
\(701\) | −9.18459 | − | 12.6415i | −0.346897 | − | 0.477463i | 0.599543 | − | 0.800343i | \(-0.295349\pi\) |
−0.946440 | + | 0.322880i | \(0.895349\pi\) | |||||||
\(702\) | −0.0145423 | + | 0.877928i | −0.000548862 | + | 0.0331352i | ||||
\(703\) | 15.9626 | + | 21.9707i | 0.602042 | + | 0.828640i | ||||
\(704\) | 11.4120 | − | 0.598076i | 0.430105 | − | 0.0225409i | ||||
\(705\) | 0.188705 | + | 0.169911i | 0.00710704 | + | 0.00639921i | ||||
\(706\) | 1.25741 | + | 1.39649i | 0.0473232 | + | 0.0525577i | ||||
\(707\) | 2.41335 | − | 2.41335i | 0.0907635 | − | 0.0907635i | ||||
\(708\) | 2.93905 | − | 0.787515i | 0.110456 | − | 0.0295966i | ||||
\(709\) | 3.47627 | + | 0.182184i | 0.130554 | + | 0.00684205i | 0.117501 | − | 0.993073i | \(-0.462512\pi\) |
0.0130530 | + | 0.999915i | \(0.495845\pi\) | |||||||
\(710\) | −0.0346983 | − | 0.219076i | −0.00130220 | − | 0.00822178i | ||||
\(711\) | 28.3712 | − | 2.98193i | 1.06400 | − | 0.111831i | ||||
\(712\) | 1.55924 | + | 2.70069i | 0.0584351 | + | 0.101213i | ||||
\(713\) | 4.47773 | + | 42.8314i | 0.167692 | + | 1.60405i | ||||
\(714\) | − | 0.898100i | − | 0.0336106i | ||||||
\(715\) | −1.45299 | + | 0.205525i | −0.0543389 | + | 0.00768618i | ||||
\(716\) | −6.93867 | + | 9.55025i | −0.259310 | + | 0.356910i | ||||
\(717\) | 2.36321 | − | 3.63902i | 0.0882556 | − | 0.135902i | ||||
\(718\) | 1.45039 | + | 2.51214i | 0.0541280 | + | 0.0937524i | ||||
\(719\) | 6.53574 | − | 11.3202i | 0.243742 | − | 0.422173i | −0.718035 | − | 0.696007i | \(-0.754958\pi\) |
0.961777 | + | 0.273833i | \(0.0882917\pi\) | |||||||
\(720\) | 1.36059 | + | 2.67031i | 0.0507062 | + | 0.0995165i | ||||
\(721\) | 6.36658 | − | 4.13450i | 0.237104 | − | 0.153977i | ||||
\(722\) | 0.171543 | + | 0.264153i | 0.00638416 | + | 0.00983075i | ||||
\(723\) | −8.95742 | − | 1.41872i | −0.333130 | − | 0.0527626i | ||||
\(724\) | −13.8692 | + | 12.4879i | −0.515446 | + | 0.464110i | ||||
\(725\) | −21.7997 | − | 9.70587i | −0.809622 | − | 0.360467i | ||||
\(726\) | 0.238653 | + | 0.294711i | 0.00885723 | + | 0.0109378i | ||||
\(727\) | −12.4404 | + | 4.04214i | −0.461390 | + | 0.149915i | −0.530483 | − | 0.847696i | \(-0.677989\pi\) |
0.0690931 | + | 0.997610i | \(0.477989\pi\) | |||||||
\(728\) | 1.81447 | − | 2.69523i | 0.0672487 | − | 0.0998920i | ||||
\(729\) | −9.95134 | − | 7.23007i | −0.368568 | − | 0.267780i | ||||
\(730\) | −0.250726 | + | 0.0131400i | −0.00927979 | + | 0.000486333i | ||||
\(731\) | −3.65470 | + | 34.7722i | −0.135174 | + | 1.28610i | ||||
\(732\) | −6.02940 | + | 0.633716i | −0.222853 | + | 0.0234228i | ||||
\(733\) | 11.4476 | + | 22.4671i | 0.422826 | + | 0.829843i | 0.999913 | + | 0.0131603i | \(0.00418918\pi\) |
−0.577087 | + | 0.816682i | \(0.695811\pi\) | |||||||
\(734\) | −0.180290 | + | 0.222639i | −0.00665461 | + | 0.00821776i | ||||
\(735\) | 0.161990 | − | 0.105198i | 0.00597510 | − | 0.00388028i | ||||
\(736\) | −6.46228 | − | 3.29270i | −0.238203 | − | 0.121370i | ||||
\(737\) | 16.8043 | − | 15.1306i | 0.618993 | − | 0.557344i | ||||
\(738\) | −0.305034 | + | 0.176112i | −0.0112285 | + | 0.00648276i | ||||
\(739\) | −3.63557 | − | 0.974148i | −0.133737 | − | 0.0358346i | 0.191330 | − | 0.981526i | \(-0.438720\pi\) |
−0.325066 | + | 0.945691i | \(0.605387\pi\) | |||||||
\(740\) | 1.20885 | − | 3.72045i | 0.0444381 | − | 0.136766i | ||||
\(741\) | 5.72746 | − | 4.98777i | 0.210404 | − | 0.183230i | ||||
\(742\) | −0.327743 | − | 0.451100i | −0.0120318 | − | 0.0165604i | ||||
\(743\) | −9.69429 | + | 36.1796i | −0.355649 | + | 1.32730i | 0.524017 | + | 0.851708i | \(0.324433\pi\) |
−0.879666 | + | 0.475592i | \(0.842234\pi\) | |||||||
\(744\) | 0.245211 | + | 0.917178i | 0.00898989 | + | 0.0336254i | ||||
\(745\) | 0.398837 | + | 0.230269i | 0.0146123 | + | 0.00843639i | ||||
\(746\) | 0.330246 | − | 2.08509i | 0.0120912 | − | 0.0763406i | ||||
\(747\) | 28.9249 | + | 11.1032i | 1.05831 | + | 0.406246i | ||||
\(748\) | 1.11084 | − | 21.1961i | 0.0406164 | − | 0.775007i | ||||
\(749\) | 17.8137 | + | 17.8137i | 0.650897 | + | 0.650897i | ||||
\(750\) | 0.102600 | + | 0.0592359i | 0.00374641 | + | 0.00216299i | ||||
\(751\) | −3.99858 | − | 18.8118i | −0.145910 | − | 0.686454i | −0.988907 | − | 0.148535i | \(-0.952544\pi\) |
0.842997 | − | 0.537918i | \(-0.180789\pi\) | |||||||
\(752\) | −6.60374 | + | 0.346088i | −0.240814 | + | 0.0126205i | ||||
\(753\) | −2.14797 | + | 0.697918i | −0.0782765 | + | 0.0254336i | ||||
\(754\) | −1.36155 | − | 0.165947i | −0.0495849 | − | 0.00604344i | ||||
\(755\) | −1.46939 | − | 0.477435i | −0.0534767 | − | 0.0173756i | ||||
\(756\) | −6.37724 | − | 16.6133i | −0.231938 | − | 0.604219i | ||||
\(757\) | 0.598004 | + | 0.0628528i | 0.0217348 | + | 0.00228442i | 0.115390 | − | 0.993320i | \(-0.463188\pi\) |
−0.0936548 | + | 0.995605i | \(0.529855\pi\) | |||||||
\(758\) | 0.0266403 | − | 0.125333i | 0.000967619 | − | 0.00455229i | ||||
\(759\) | −0.958127 | − | 6.04938i | −0.0347778 | − | 0.219579i | ||||
\(760\) | −0.121585 | + | 0.316739i | −0.00441034 | + | 0.0114893i | ||||
\(761\) | 1.07022 | − | 0.695006i | 0.0387953 | − | 0.0251939i | −0.525096 | − | 0.851043i | \(-0.675970\pi\) |
0.563891 | + | 0.825849i | \(0.309304\pi\) | |||||||
\(762\) | 0.102290 | + | 0.645833i | 0.00370557 | + | 0.0233961i | ||||
\(763\) | 1.60981 | + | 15.3164i | 0.0582792 | + | 0.554489i | ||||
\(764\) | 5.67581 | + | 26.7026i | 0.205343 | + | 0.966065i | ||||
\(765\) | 5.16436 | − | 1.98241i | 0.186718 | − | 0.0716742i | ||||
\(766\) | 0.502040 | + | 1.54512i | 0.0181394 | + | 0.0558275i | ||||
\(767\) | 4.26535 | − | 9.16837i | 0.154013 | − | 0.331051i | ||||
\(768\) | 8.02635 | + | 2.60792i | 0.289626 | + | 0.0941052i | ||||
\(769\) | 43.0210 | + | 11.5274i | 1.55138 | + | 0.415690i | 0.929921 | − | 0.367759i | \(-0.119875\pi\) |
0.621455 | + | 0.783449i | \(0.286542\pi\) | |||||||
\(770\) | −0.0795286 | + | 0.0459159i | −0.00286601 | + | 0.00165469i | ||||
\(771\) | 10.8568 | + | 12.0577i | 0.390997 | + | 0.434246i | ||||
\(772\) | 17.1723 | − | 2.71982i | 0.618043 | − | 0.0978885i | ||||
\(773\) | −24.4792 | + | 30.2293i | −0.880455 | + | 1.08727i | 0.115125 | + | 0.993351i | \(0.463273\pi\) |
−0.995580 | + | 0.0939205i | \(0.970060\pi\) | |||||||
\(774\) | −0.262455 | − | 0.979495i | −0.00943375 | − | 0.0352072i | ||||
\(775\) | 20.3545 | + | 18.3477i | 0.731154 | + | 0.659069i | ||||
\(776\) | 0.417774 | − | 0.723605i | 0.0149972 | − | 0.0259759i | ||||
\(777\) | −4.46476 | + | 10.0280i | −0.160172 | + | 0.359753i | ||||
\(778\) | −1.67658 | − | 2.07041i | −0.0601084 | − | 0.0742277i | ||||
\(779\) | 6.11230 | + | 1.98601i | 0.218996 | + | 0.0711561i | ||||
\(780\) | −1.06619 | − | 0.245150i | −0.0381757 | − | 0.00877776i | ||||
\(781\) | 14.7095i | 0.526348i | ||||||||
\(782\) | −2.41789 | + | 3.72322i | −0.0864636 | + | 0.133142i | ||||
\(783\) | −10.0691 | + | 11.1828i | −0.359840 | + | 0.399642i | ||||
\(784\) | −1.04581 | + | 4.92014i | −0.0373503 | + | 0.175719i | ||||
\(785\) | −0.818955 | + | 5.17068i | −0.0292297 | + | 0.184549i | ||||
\(786\) | 0.0371668 | − | 0.709184i | 0.00132569 | − | 0.0252958i | ||||
\(787\) | −36.0475 | − | 29.1907i | −1.28496 | − | 1.04054i | −0.996547 | − | 0.0830288i | \(-0.973541\pi\) |
−0.288408 | − | 0.957508i | \(-0.593126\pi\) | |||||||
\(788\) | 49.5934 | − | 7.85482i | 1.76669 | − | 0.279816i | ||||
\(789\) | −10.4278 | − | 2.21649i | −0.371239 | − | 0.0789093i | ||||
\(790\) | 0.0242004 | − | 0.230252i | 0.000861013 | − | 0.00819199i | ||||
\(791\) | −0.0279947 | + | 0.0226697i | −0.000995377 | + | 0.000806041i | ||||
\(792\) | 0.381044 | + | 1.17273i | 0.0135398 | + | 0.0416712i | ||||
\(793\) | −11.2518 | + | 16.7135i | −0.399562 | + | 0.593515i | ||||
\(794\) | 1.28783 | − | 0.935662i | 0.0457033 | − | 0.0332054i | ||||
\(795\) | −0.204825 | + | 0.315403i | −0.00726441 | + | 0.0111862i | ||||
\(796\) | −7.47829 | + | 16.7965i | −0.265061 | + | 0.595337i | ||||
\(797\) | 32.2996 | + | 6.86548i | 1.14411 | + | 0.243188i | 0.740703 | − | 0.671833i | \(-0.234493\pi\) |
0.403406 | + | 0.915021i | \(0.367826\pi\) | |||||||
\(798\) | 0.215771 | − | 0.423474i | 0.00763821 | − | 0.0149908i | ||||
\(799\) | −0.638808 | + | 12.1892i | −0.0225994 | + | 0.431222i | ||||
\(800\) | −4.45789 | + | 1.19449i | −0.157610 | + | 0.0422315i | ||||
\(801\) | 19.0268 | − | 19.0268i | 0.672277 | − | 0.672277i | ||||
\(802\) | 2.00792 | − | 1.80794i | 0.0709021 | − | 0.0638406i | ||||
\(803\) | 16.5589 | + | 1.74042i | 0.584352 | + | 0.0614179i | ||||
\(804\) | 15.7382 | − | 6.04132i | 0.555042 | − | 0.213061i | ||||
\(805\) | −6.22052 | −0.219244 | ||||||||
\(806\) | 1.42778 | + | 0.665204i | 0.0502916 | + | 0.0234308i | ||||
\(807\) | 10.1831 | 0.358462 | ||||||||
\(808\) | −0.347226 | + | 0.133288i | −0.0122154 | + | 0.00468904i | ||||
\(809\) | −9.07009 | − | 0.953305i | −0.318887 | − | 0.0335164i | −0.0562673 | − | 0.998416i | \(-0.517920\pi\) |
−0.262620 | + | 0.964899i | \(0.584587\pi\) | |||||||
\(810\) | −0.104743 | + | 0.0943109i | −0.00368029 | + | 0.00331375i | ||||
\(811\) | 21.5593 | − | 21.5593i | 0.757048 | − | 0.757048i | −0.218736 | − | 0.975784i | \(-0.570193\pi\) |
0.975784 | + | 0.218736i | \(0.0701932\pi\) | |||||||
\(812\) | 26.8513 | − | 7.19480i | 0.942298 | − | 0.252488i | ||||
\(813\) | −0.0622970 | + | 1.18870i | −0.00218485 | + | 0.0416894i | ||||
\(814\) | 0.363664 | − | 0.713732i | 0.0127464 | − | 0.0250163i | ||||
\(815\) | 2.43265 | + | 0.517075i | 0.0852119 | + | 0.0181124i | ||||
\(816\) | 6.41615 | − | 14.4109i | 0.224610 | − | 0.504482i | ||||
\(817\) | −10.0774 | + | 15.5178i | −0.352563 | + | 0.542899i | ||||
\(818\) | −0.631873 | + | 0.459083i | −0.0220929 | + | 0.0160514i | ||||
\(819\) | −26.5155 | − | 9.10363i | −0.926528 | − | 0.318107i | ||||
\(820\) | −0.286078 | − | 0.880456i | −0.00999026 | − | 0.0307469i | ||||
\(821\) | −7.56283 | + | 6.12426i | −0.263944 | + | 0.213738i | −0.752152 | − | 0.658989i | \(-0.770984\pi\) |
0.488208 | + | 0.872727i | \(0.337651\pi\) | |||||||
\(822\) | −0.0949019 | + | 0.902931i | −0.00331008 | + | 0.0314933i | ||||
\(823\) | −34.0112 | − | 7.22930i | −1.18556 | − | 0.251998i | −0.427395 | − | 0.904065i | \(-0.640569\pi\) |
−0.758161 | + | 0.652067i | \(0.773902\pi\) | |||||||
\(824\) | −0.817071 | + | 0.129411i | −0.0284640 | + | 0.00450826i | ||||
\(825\) | −3.02882 | − | 2.45269i | −0.105450 | − | 0.0853918i | ||||
\(826\) | 0.0331180 | − | 0.631929i | 0.00115232 | − | 0.0219876i | ||||
\(827\) | 1.14063 | − | 7.20168i | 0.0396638 | − | 0.250427i | −0.959887 | − | 0.280386i | \(-0.909538\pi\) |
0.999551 | + | 0.0299587i | \(0.00953759\pi\) | |||||||
\(828\) | −8.66973 | + | 40.7879i | −0.301294 | + | 1.41748i | ||||
\(829\) | −13.5509 | + | 15.0498i | −0.470644 | + | 0.522703i | −0.930994 | − | 0.365035i | \(-0.881057\pi\) |
0.460350 | + | 0.887737i | \(0.347724\pi\) | |||||||
\(830\) | 0.136947 | − | 0.210881i | 0.00475351 | − | 0.00731977i | ||||
\(831\) | 0.340418i | 0.0118090i | ||||||||
\(832\) | 23.9974 | − | 15.0250i | 0.831962 | − | 0.520898i | ||||
\(833\) | 8.83007 | + | 2.86906i | 0.305944 | + | 0.0994071i | ||||
\(834\) | −0.384994 | − | 0.475428i | −0.0133312 | − | 0.0164627i | ||||
\(835\) | −2.00597 | + | 4.50548i | −0.0694194 | + | 0.155919i | ||||
\(836\) | 5.61621 | − | 9.72756i | 0.194241 | − | 0.336435i | ||||
\(837\) | 14.9703 | − | 8.63203i | 0.517449 | − | 0.298367i | ||||
\(838\) | 0.167291 | + | 0.624337i | 0.00577896 | + | 0.0215674i | ||||
\(839\) | 21.5934 | − | 26.6657i | 0.745488 | − | 0.920600i | −0.253419 | − | 0.967357i | \(-0.581555\pi\) |
0.998906 | + | 0.0467562i | \(0.0148884\pi\) | |||||||
\(840\) | −0.135447 | + | 0.0214527i | −0.00467336 | + | 0.000740187i | ||||
\(841\) | 3.67552 | + | 4.08207i | 0.126742 | + | 0.140761i | ||||
\(842\) | 1.29598 | − | 0.748232i | 0.0446623 | − | 0.0257858i | ||||
\(843\) | 12.7936 | + | 3.42802i | 0.440633 | + | 0.118067i | ||||
\(844\) | 35.0857 | + | 11.4000i | 1.20770 | + | 0.392406i | ||||
\(845\) | −2.89975 | + | 2.19322i | −0.0997543 | + | 0.0754492i | ||||
\(846\) | −0.109394 | − | 0.336680i | −0.00376104 | − | 0.0115753i | ||||
\(847\) | −23.8454 | + | 9.15340i | −0.819338 | + | 0.314515i | ||||
\(848\) | −2.03624 | − | 9.57978i | −0.0699249 | − | 0.328971i | ||||
\(849\) | −0.904736 | − | 8.60799i | −0.0310505 | − | 0.295426i | ||||
\(850\) | 0.441917 | + | 2.79015i | 0.0151576 | + | 0.0957014i | ||||
\(851\) | 45.5071 | − | 29.5527i | 1.55996 | − | 1.01305i | ||||
\(852\) | −3.92992 | + | 10.2378i | −0.134637 | + | 0.350741i | ||||
\(853\) | −2.60122 | − | 16.4234i | −0.0890640 | − | 0.562328i | −0.991356 | − | 0.131202i | \(-0.958116\pi\) |
0.902292 | − | 0.431126i | \(-0.141884\pi\) | |||||||
\(854\) | −0.262144 | + | 1.23329i | −0.00897038 | + | 0.0422023i | ||||
\(855\) | 2.91139 | + | 0.305999i | 0.0995673 | + | 0.0104649i | ||||
\(856\) | −0.983836 | − | 2.56298i | −0.0336268 | − | 0.0876008i | ||||
\(857\) | −43.0752 | − | 13.9960i | −1.47142 | − | 0.478094i | −0.539884 | − | 0.841740i | \(-0.681532\pi\) |
−0.931537 | + | 0.363646i | \(0.881532\pi\) | |||||||
\(858\) | −0.207782 | − | 0.0837344i | −0.00709357 | − | 0.00285864i | ||||
\(859\) | −7.42769 | + | 2.41340i | −0.253430 | + | 0.0823443i | −0.432977 | − | 0.901405i | \(-0.642537\pi\) |
0.179547 | + | 0.983749i | \(0.442537\pi\) | |||||||
\(860\) | 2.66162 | − | 0.139490i | 0.0907605 | − | 0.00475656i | ||||
\(861\) | 0.540103 | + | 2.54098i | 0.0184067 | + | 0.0865965i | ||||
\(862\) | −2.19032 | − | 1.26458i | −0.0746027 | − | 0.0430719i | ||||
\(863\) | −23.0205 | − | 23.0205i | −0.783628 | − | 0.783628i | 0.196813 | − | 0.980441i | \(-0.436941\pi\) |
−0.980441 | + | 0.196813i | \(0.936941\pi\) | |||||||
\(864\) | −0.152315 | + | 2.90635i | −0.00518187 | + | 0.0988759i | ||||
\(865\) | 2.14472 | + | 0.823281i | 0.0729227 | + | 0.0279924i | ||||
\(866\) | −0.0351760 | + | 0.222093i | −0.00119533 | + | 0.00754702i | ||||
\(867\) | −17.2050 | − | 9.93330i | −0.584312 | − | 0.337353i | ||||
\(868\) | −31.8784 | − | 1.68842i | −1.08202 | − | 0.0573087i | ||||
\(869\) | −3.97382 | + | 14.8305i | −0.134803 | + | 0.503090i | ||||
\(870\) | 0.0340285 | + | 0.0468362i | 0.00115367 | + | 0.00158790i | ||||
\(871\) | 18.1925 | − | 52.9882i | 0.616430 | − | 1.79544i | ||||
\(872\) | 0.518619 | − | 1.59615i | 0.0175627 | − | 0.0540523i | ||||
\(873\) | −6.96387 | − | 1.86596i | −0.235691 | − | 0.0631533i | ||||
\(874\) | −2.03460 | + | 1.17468i | −0.0688214 | + | 0.0397341i | ||||
\(875\) | −5.92990 | + | 5.33931i | −0.200467 | + | 0.180502i | ||||
\(876\) | 11.0600 | + | 5.63535i | 0.373683 | + | 0.190401i | ||||
\(877\) | −6.59217 | + | 4.28101i | −0.222602 | + | 0.144559i | −0.651123 | − | 0.758973i | \(-0.725702\pi\) |
0.428521 | + | 0.903532i | \(0.359035\pi\) | |||||||
\(878\) | −0.179593 | + | 0.221779i | −0.00606099 | + | 0.00748470i | ||||
\(879\) | −8.02817 | − | 15.7562i | −0.270784 | − | 0.531443i | ||||
\(880\) | −1.60414 | + | 0.168602i | −0.0540757 | + | 0.00568358i | ||||
\(881\) | 1.57182 | − | 14.9549i | 0.0529561 | − | 0.503844i | −0.935608 | − | 0.353041i | \(-0.885148\pi\) |
0.988564 | − | 0.150803i | \(-0.0481858\pi\) | |||||||
\(882\) | −0.268907 | + | 0.0140928i | −0.00905458 | + | 0.000474531i | ||||
\(883\) | 42.3901 | + | 30.7982i | 1.42654 | + | 1.03644i | 0.990648 | + | 0.136445i | \(0.0435677\pi\) |
0.435894 | + | 0.899998i | \(0.356432\pi\) | |||||||
\(884\) | −23.0949 | − | 47.2447i | −0.776765 | − | 1.58901i | ||||
\(885\) | −0.405910 | + | 0.131888i | −0.0136445 | + | 0.00443338i | ||||
\(886\) | −0.0495848 | − | 0.0612322i | −0.00166583 | − | 0.00205713i | ||||
\(887\) | −0.563943 | − | 0.251084i | −0.0189354 | − | 0.00843057i | 0.397247 | − | 0.917712i | \(-0.369966\pi\) |
−0.416182 | + | 0.909281i | \(0.636632\pi\) | |||||||
\(888\) | 0.888963 | − | 0.800426i | 0.0298316 | − | 0.0268605i | ||||
\(889\) | −43.4990 | − | 6.88956i | −1.45891 | − | 0.231069i | ||||
\(890\) | −0.118936 | − | 0.183146i | −0.00398675 | − | 0.00613905i | ||||
\(891\) | 7.83909 | − | 5.09076i | 0.262619 | − | 0.170547i | ||||
\(892\) | 8.21695 | + | 16.1267i | 0.275124 | + | 0.539961i | ||||
\(893\) | −3.22969 | + | 5.59399i | −0.108078 | + | 0.187196i | ||||
\(894\) | 0.0351525 | + | 0.0608859i | 0.00117567 | + | 0.00203633i | ||||
\(895\) | 0.901835 | − | 1.38870i | 0.0301450 | − | 0.0464193i | ||||
\(896\) | 4.21132 | − | 5.79639i | 0.140690 | − | 0.193644i | ||||
\(897\) | −9.35314 | − | 11.9495i | −0.312292 | − | 0.398983i | ||||
\(898\) | 1.12201i | 0.0374419i | ||||||||
\(899\) | 10.9661 | + | 24.6670i | 0.365739 | + | 0.822692i | ||||
\(900\) | 13.2671 | + | 22.9793i | 0.442237 | + | 0.765978i | ||||
\(901\) | −17.9783 | + | 1.88960i | −0.598945 | + | 0.0629517i | ||||
\(902\) | −0.0296551 | − | 0.187235i | −0.000987406 | − | 0.00623424i | ||||
\(903\) | −7.46865 | − | 0.391416i | −0.248541 | − | 0.0130255i | ||||
\(904\) | 0.00379177 | − | 0.00101600i | 0.000126112 | − | 3.37917e-5i | ||||
\(905\) | 1.85108 | − | 1.85108i | 0.0615320 | − | 0.0615320i | ||||
\(906\) | −0.157821 | − | 0.175278i | −0.00524324 | − | 0.00582321i | ||||
\(907\) | −21.9926 | − | 19.8022i | −0.730252 | − | 0.657522i | 0.217671 | − | 0.976022i | \(-0.430154\pi\) |
−0.947923 | + | 0.318501i | \(0.896821\pi\) | |||||||
\(908\) | 22.1729 | − | 1.16204i | 0.735835 | − | 0.0385635i | ||||
\(909\) | 1.88632 | + | 2.59630i | 0.0625653 | + | 0.0861137i | ||||
\(910\) | −0.117009 | + | 0.195128i | −0.00387880 | + | 0.00646844i | ||||
\(911\) | 4.71425 | + | 6.48860i | 0.156190 | + | 0.214977i | 0.879940 | − | 0.475086i | \(-0.157583\pi\) |
−0.723750 | + | 0.690063i | \(0.757583\pi\) | |||||||
\(912\) | 6.48761 | − | 5.25356i | 0.214826 | − | 0.173963i | ||||
\(913\) | −11.1578 | + | 12.3920i | −0.369270 | + | 0.410116i | ||||
\(914\) | 0.855147 | − | 0.380736i | 0.0282858 | − | 0.0125936i | ||||
\(915\) | 0.839926 | − | 0.133031i | 0.0277671 | − | 0.00439787i | ||||
\(916\) | 20.5046 | + | 31.5743i | 0.677491 | + | 1.04324i | ||||
\(917\) | 44.6545 | + | 17.1413i | 1.47462 | + | 0.566054i | ||||
\(918\) | 1.75949 | + | 0.278675i | 0.0580717 | + | 0.00919765i | ||||
\(919\) | 35.7541 | + | 39.7090i | 1.17942 | + | 1.30988i | 0.940878 | + | 0.338745i | \(0.110002\pi\) |
0.238541 | + | 0.971132i | \(0.423331\pi\) | |||||||
\(920\) | 0.619273 | + | 0.275718i | 0.0204168 | + | 0.00909015i | ||||
\(921\) | −0.689934 | − | 13.1647i | −0.0227341 | − | 0.433793i | ||||
\(922\) | 0.213923 | + | 0.658387i | 0.00704518 | + | 0.0216828i | ||||
\(923\) | 17.6969 | + | 31.8591i | 0.582500 | + | 1.04865i | ||||
\(924\) | 4.54017 | 0.149361 | ||||||||
\(925\) | 8.93644 | − | 33.3512i | 0.293828 | − | 1.09658i | ||||
\(926\) | 0.0589276 | + | 0.277232i | 0.00193648 | + | 0.00911042i | ||||
\(927\) | 2.90328 | + | 6.52087i | 0.0953562 | + | 0.214174i | ||||
\(928\) | −4.49037 | − | 0.711204i | −0.147403 | − | 0.0233464i | ||||
\(929\) | 35.3053 | − | 9.46004i | 1.15833 | − | 0.310374i | 0.372032 | − | 0.928220i | \(-0.378661\pi\) |
0.786299 | + | 0.617846i | \(0.211995\pi\) | |||||||
\(930\) | −0.0205091 | − | 0.0632399i | −0.000672519 | − | 0.00207372i | ||||
\(931\) | 3.47427 | + | 3.47427i | 0.113865 | + | 0.113865i | ||||
\(932\) | 1.49851 | + | 14.2573i | 0.0490852 | + | 0.467015i | ||||
\(933\) | −0.822079 | + | 7.82156i | −0.0269137 | + | 0.256066i | ||||
\(934\) | −2.30718 | − | 1.49830i | −0.0754932 | − | 0.0490258i | ||||
\(935\) | 2.97723i | 0.0973660i | ||||||||
\(936\) | 2.23620 | + | 2.08157i | 0.0730924 | + | 0.0680382i | ||||
\(937\) | −3.06521 | + | 9.43374i | −0.100136 | + | 0.308187i | −0.988558 | − | 0.150840i | \(-0.951802\pi\) |
0.888422 | + | 0.459027i | \(0.151802\pi\) | |||||||
\(938\) | −0.183486 | − | 3.50113i | −0.00599104 | − | 0.114316i | ||||
\(939\) | −10.2289 | + | 11.3603i | −0.333807 | + | 0.370730i | ||||
\(940\) | 0.925355 | − | 0.0972588i | 0.0301818 | − | 0.00317223i | ||||
\(941\) | 16.4970 | − | 8.40563i | 0.537786 | − | 0.274016i | −0.163930 | − | 0.986472i | \(-0.552417\pi\) |
0.701717 | + | 0.712456i | \(0.252417\pi\) | |||||||
\(942\) | −0.502945 | + | 0.621085i | −0.0163868 | + | 0.0202361i | ||||
\(943\) | 4.60182 | − | 11.9881i | 0.149856 | − | 0.390388i | ||||
\(944\) | 5.04599 | − | 9.90331i | 0.164233 | − | 0.322325i | ||||
\(945\) | 1.01526 | + | 2.28031i | 0.0330265 | + | 0.0741786i | ||||
\(946\) | 0.542777 | + | 0.0570481i | 0.0176472 | + | 0.00185479i | ||||
\(947\) | −0.269481 | − | 5.14200i | −0.00875695 | − | 0.167093i | −0.999507 | − | 0.0313938i | \(-0.990005\pi\) |
0.990750 | − | 0.135699i | \(-0.0433279\pi\) | |||||||
\(948\) | −6.72801 | + | 9.26031i | −0.218516 | + | 0.300761i | ||||
\(949\) | 37.9586 | − | 16.1524i | 1.23219 | − | 0.524328i | ||||
\(950\) | −0.461968 | + | 1.42179i | −0.0149882 | + | 0.0461290i | ||||
\(951\) | −2.14893 | − | 5.59814i | −0.0696837 | − | 0.181532i | ||||
\(952\) | −4.89872 | − | 4.41083i | −0.158768 | − | 0.142956i | ||||
\(953\) | 10.4948 | + | 2.23073i | 0.339958 | + | 0.0722604i | 0.374728 | − | 0.927135i | \(-0.377736\pi\) |
−0.0347691 | + | 0.999395i | \(0.511070\pi\) | |||||||
\(954\) | 0.467150 | − | 0.238025i | 0.0151246 | − | 0.00770634i | ||||
\(955\) | −0.991073 | − | 3.69874i | −0.0320704 | − | 0.119688i | ||||
\(956\) | −4.11504 | − | 15.3575i | −0.133090 | − | 0.496698i | ||||
\(957\) | −1.74299 | − | 3.42081i | −0.0563428 | − | 0.110579i | ||||
\(958\) | −1.54810 | + | 0.689257i | −0.0500167 | + | 0.0222689i | ||||
\(959\) | −55.8637 | − | 24.8721i | −1.80393 | − | 0.803162i | ||||
\(960\) | −1.15430 | − | 0.309293i | −0.0372548 | − | 0.00998239i | ||||
\(961\) | −3.20615 | − | 30.8338i | −0.103424 | − | 0.994637i | ||||
\(962\) | −0.0710295 | − | 1.98338i | −0.00229008 | − | 0.0639467i | ||||
\(963\) | −19.1640 | + | 13.9235i | −0.617552 | + | 0.448678i | ||||
\(964\) | −25.8256 | + | 20.9131i | −0.831785 | + | 0.673566i | ||||
\(965\) | −2.38547 | + | 0.507046i | −0.0767909 | + | 0.0163224i | ||||
\(966\) | −0.822391 | − | 0.474808i | −0.0264600 | − | 0.0152767i | ||||
\(967\) | −4.60040 | − | 4.60040i | −0.147939 | − | 0.147939i | 0.629258 | − | 0.777197i | \(-0.283359\pi\) |
−0.777197 | + | 0.629258i | \(0.783359\pi\) | |||||||
\(968\) | 2.77960 | + | 0.145673i | 0.0893398 | + | 0.00468210i | ||||
\(969\) | −8.39218 | − | 12.9228i | −0.269596 | − | 0.415141i | ||||
\(970\) | −0.0265631 | + | 0.0521330i | −0.000852890 | + | 0.00167389i | ||||
\(971\) | 1.18324 | + | 11.2578i | 0.0379721 | + | 0.361280i | 0.996965 | + | 0.0778505i | \(0.0248057\pi\) |
−0.958993 | + | 0.283430i | \(0.908528\pi\) | |||||||
\(972\) | 24.9753 | − | 5.30866i | 0.801083 | − | 0.170275i | ||||
\(973\) | 38.4674 | − | 14.7662i | 1.23321 | − | 0.473384i | ||||
\(974\) | −1.19766 | − | 0.870151i | −0.0383755 | − | 0.0278814i | ||||
\(975\) | −9.51087 | − | 1.66829i | −0.304592 | − | 0.0534281i | ||||
\(976\) | −13.0171 | + | 17.9166i | −0.416668 | + | 0.573495i | ||||
\(977\) | 32.1840 | + | 39.7440i | 1.02966 | + | 1.27152i | 0.961778 | + | 0.273829i | \(0.0882903\pi\) |
0.0678805 | + | 0.997693i | \(0.478376\pi\) | |||||||
\(978\) | 0.282143 | + | 0.254043i | 0.00902195 | + | 0.00812340i | ||||
\(979\) | 5.89035 | + | 13.2300i | 0.188257 | + | 0.422831i | ||||
\(980\) | 0.110717 | − | 0.699039i | 0.00353672 | − | 0.0223300i | ||||
\(981\) | −14.4613 | − | 0.757883i | −0.461713 | − | 0.0241973i | ||||
\(982\) | 0.744212 | + | 0.602651i | 0.0237488 | + | 0.0192314i | ||||
\(983\) | 0.663881 | + | 0.338264i | 0.0211745 | + | 0.0107890i | 0.464546 | − | 0.885549i | \(-0.346218\pi\) |
−0.443371 | + | 0.896338i | \(0.646218\pi\) | |||||||
\(984\) | 0.0588575 | − | 0.276903i | 0.00187631 | − | 0.00882733i | ||||
\(985\) | −6.88921 | + | 1.46435i | −0.219508 | + | 0.0466579i | ||||
\(986\) | −0.720246 | + | 2.68799i | −0.0229373 | + | 0.0856032i | ||||
\(987\) | −2.61090 | −0.0831059 | ||||||||
\(988\) | 0.460911 | − | 27.8255i | 0.0146635 | − | 0.885248i | ||||
\(989\) | 29.9088 | + | 21.7300i | 0.951043 | + | 0.690973i | ||||
\(990\) | −0.0309445 | − | 0.0806131i | −0.000983479 | − | 0.00256205i | ||||
\(991\) | 41.6694 | − | 24.0578i | 1.32367 | − | 0.764222i | 0.339359 | − | 0.940657i | \(-0.389790\pi\) |
0.984312 | + | 0.176435i | \(0.0564565\pi\) | |||||||
\(992\) | 4.65052 | + | 2.37281i | 0.147654 | + | 0.0753369i | ||||
\(993\) | −6.58321 | + | 6.58321i | −0.208912 | + | 0.208912i | ||||
\(994\) | 1.77239 | + | 1.43525i | 0.0562167 | + | 0.0455233i | ||||
\(995\) | 0.924228 | − | 2.40770i | 0.0293000 | − | 0.0763291i | ||||
\(996\) | −11.0766 | + | 5.64380i | −0.350975 | + | 0.178831i | ||||
\(997\) | 14.3005 | − | 24.7693i | 0.452903 | − | 0.784450i | −0.545662 | − | 0.838005i | \(-0.683722\pi\) |
0.998565 | + | 0.0535549i | \(0.0170552\pi\) | |||||||
\(998\) | 1.16021 | + | 2.00954i | 0.0367258 | + | 0.0636110i | ||||
\(999\) | −18.2607 | − | 11.8586i | −0.577743 | − | 0.375191i |
(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 | 403.2.cb.a.15.18 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.18 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.18 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.18 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.18 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.18 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.18 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.18 | yes | 576 | 403.215 | even | 60 | inner |