Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.10 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.10 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | 0.212565 | − | 0.977147i | 0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 0.855176 | + | 2.06608i | 0.382446 | + | 0.923978i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 1.43032 | − | 2.61943i | 0.540608 | − | 0.990050i | −0.454451 | − | 0.890772i | \(-0.650165\pi\) |
0.995060 | − | 0.0992788i | \(-0.0316536\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | 1.00039 | + | 1.99981i | 0.316351 | + | 0.632394i | ||||
\(11\) | 1.89288 | − | 1.64019i | 0.570724 | − | 0.494535i | −0.321022 | − | 0.947072i | \(-0.604026\pi\) |
0.891746 | + | 0.452537i | \(0.149481\pi\) | |||||||
\(12\) | 0.0713392 | − | 0.997452i | 0.0205938 | − | 0.287940i | ||||
\(13\) | −0.493393 | + | 0.269413i | −0.136843 | + | 0.0747218i | −0.546212 | − | 0.837647i | \(-0.683931\pi\) |
0.409369 | + | 0.912369i | \(0.365749\pi\) | |||||||
\(14\) | 1.23980 | − | 2.71479i | 0.331351 | − | 0.725558i | ||||
\(15\) | 2.20064 | − | 0.396457i | 0.568203 | − | 0.102365i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −3.79672 | − | 5.07183i | −0.920840 | − | 1.23010i | −0.972846 | − | 0.231452i | \(-0.925653\pi\) |
0.0520064 | − | 0.998647i | \(-0.483438\pi\) | |||||||
\(18\) | −0.936950 | − | 0.349464i | −0.220841 | − | 0.0823695i | ||||
\(19\) | 1.00290 | + | 6.97529i | 0.230080 | + | 1.60024i | 0.697752 | + | 0.716339i | \(0.254184\pi\) |
−0.467672 | + | 0.883902i | \(0.654907\pi\) | |||||||
\(20\) | 1.14051 | + | 1.92334i | 0.255025 | + | 0.430073i | ||||
\(21\) | −2.25553 | − | 1.95443i | −0.492197 | − | 0.426491i | ||||
\(22\) | 1.77104 | − | 1.77104i | 0.377588 | − | 0.377588i | ||||
\(23\) | 4.79159 | − | 0.201680i | 0.999115 | − | 0.0420533i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | −3.53735 | + | 3.53372i | −0.707469 | + | 0.706744i | ||||
\(26\) | −0.472917 | + | 0.303925i | −0.0927466 | + | 0.0596046i | ||||
\(27\) | −0.599278 | + | 0.800541i | −0.115331 | + | 0.154064i | ||||
\(28\) | 1.04297 | − | 2.79632i | 0.197103 | − | 0.528455i | ||||
\(29\) | 8.91163 | + | 1.28130i | 1.65485 | + | 0.237931i | 0.905531 | − | 0.424280i | \(-0.139473\pi\) |
0.749317 | + | 0.662211i | \(0.230382\pi\) | |||||||
\(30\) | 2.16675 | − | 0.552438i | 0.395593 | − | 0.100861i | ||||
\(31\) | −3.85826 | − | 2.47955i | −0.692964 | − | 0.445341i | 0.146174 | − | 0.989259i | \(-0.453304\pi\) |
−0.839139 | + | 0.543918i | \(0.816940\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −1.20034 | − | 2.19827i | −0.208953 | − | 0.382669i | ||||
\(34\) | −4.14887 | − | 4.78805i | −0.711525 | − | 0.821143i | ||||
\(35\) | 6.63511 | + | 0.715070i | 1.12154 | + | 0.120869i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 1.50519 | + | 4.03556i | 0.247451 | + | 0.663442i | 0.999988 | + | 0.00489211i | \(0.00155721\pi\) |
−0.752537 | + | 0.658550i | \(0.771170\pi\) | |||||||
\(38\) | 1.49795 | + | 6.88597i | 0.243000 | + | 1.11705i | ||||
\(39\) | 0.158378 | + | 0.539386i | 0.0253608 | + | 0.0863708i | ||||
\(40\) | 1.27481 | + | 1.83708i | 0.201565 | + | 0.290468i | ||||
\(41\) | −2.06266 | − | 4.51659i | −0.322133 | − | 0.705373i | 0.677410 | − | 0.735606i | \(-0.263102\pi\) |
−0.999543 | + | 0.0302327i | \(0.990375\pi\) | |||||||
\(42\) | −2.38921 | − | 1.78854i | −0.368663 | − | 0.275978i | ||||
\(43\) | 0.505099 | + | 0.109878i | 0.0770268 | + | 0.0167562i | 0.250914 | − | 0.968010i | \(-0.419269\pi\) |
−0.173887 | + | 0.984766i | \(0.555633\pi\) | |||||||
\(44\) | 1.64019 | − | 1.89288i | 0.247268 | − | 0.285362i | ||||
\(45\) | 0.0803837 | − | 2.23462i | 0.0119829 | − | 0.333118i | ||||
\(46\) | 4.76499 | − | 0.542994i | 0.702560 | − | 0.0800602i | ||||
\(47\) | −3.07604 | − | 3.07604i | −0.448686 | − | 0.448686i | 0.446232 | − | 0.894918i | \(-0.352766\pi\) |
−0.894918 | + | 0.446232i | \(0.852766\pi\) | |||||||
\(48\) | −0.0713392 | − | 0.997452i | −0.0102969 | − | 0.143970i | ||||
\(49\) | −1.03111 | − | 1.60444i | −0.147302 | − | 0.229206i | ||||
\(50\) | −3.27624 | + | 3.77707i | −0.463331 | + | 0.534158i | ||||
\(51\) | −5.76297 | + | 2.63186i | −0.806977 | + | 0.368534i | ||||
\(52\) | −0.450030 | + | 0.336888i | −0.0624079 | + | 0.0467180i | ||||
\(53\) | −12.4461 | − | 6.79606i | −1.70960 | − | 0.933510i | −0.963514 | − | 0.267657i | \(-0.913751\pi\) |
−0.746083 | − | 0.665853i | \(-0.768068\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | 5.00750 | + | 2.50818i | 0.675211 | + | 0.338203i | ||||
\(56\) | 0.840829 | − | 2.86360i | 0.112360 | − | 0.382665i | ||||
\(57\) | 7.02906 | + | 0.502729i | 0.931022 | + | 0.0665880i | ||||
\(58\) | 8.98033 | + | 0.642286i | 1.17918 | + | 0.0843363i | ||||
\(59\) | −1.37222 | + | 4.67337i | −0.178648 | + | 0.608420i | 0.820666 | + | 0.571408i | \(0.193602\pi\) |
−0.999315 | + | 0.0370128i | \(0.988216\pi\) | |||||||
\(60\) | 2.12182 | − | 0.705605i | 0.273926 | − | 0.0910932i | ||||
\(61\) | 1.62580 | − | 2.52979i | 0.208162 | − | 0.323906i | −0.721436 | − | 0.692481i | \(-0.756518\pi\) |
0.929598 | + | 0.368575i | \(0.120154\pi\) | |||||||
\(62\) | −4.02532 | − | 2.19799i | −0.511216 | − | 0.279145i | ||||
\(63\) | −2.38921 | + | 1.78854i | −0.301012 | + | 0.225335i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | −0.978567 | − | 0.788993i | −0.121376 | − | 0.0978625i | ||||
\(66\) | −1.35411 | − | 2.10703i | −0.166679 | − | 0.259358i | ||||
\(67\) | 1.11397 | + | 15.5754i | 0.136094 | + | 1.90284i | 0.367569 | + | 0.929996i | \(0.380190\pi\) |
−0.231475 | + | 0.972841i | \(0.574355\pi\) | |||||||
\(68\) | −4.47987 | − | 4.47987i | −0.543264 | − | 0.543264i | ||||
\(69\) | 0.821454 | − | 4.72496i | 0.0988915 | − | 0.568818i | ||||
\(70\) | 6.66922 | + | 0.239905i | 0.797124 | + | 0.0286741i | ||||
\(71\) | −6.74083 | + | 7.77933i | −0.799989 | + | 0.923237i | −0.998381 | − | 0.0568859i | \(-0.981883\pi\) |
0.198391 | + | 0.980123i | \(0.436428\pi\) | |||||||
\(72\) | −0.977147 | − | 0.212565i | −0.115158 | − | 0.0250511i | ||||
\(73\) | −8.43539 | − | 6.31466i | −0.987288 | − | 0.739075i | −0.0218646 | − | 0.999761i | \(-0.506960\pi\) |
−0.965424 | + | 0.260686i | \(0.916051\pi\) | |||||||
\(74\) | 1.78925 | + | 3.91790i | 0.207996 | + | 0.455447i | ||||
\(75\) | 2.70105 | + | 4.20765i | 0.311890 | + | 0.485858i | ||||
\(76\) | 1.98537 | + | 6.76157i | 0.227738 | + | 0.775605i | ||||
\(77\) | −1.58894 | − | 7.30424i | −0.181077 | − | 0.832395i | ||||
\(78\) | 0.196454 | + | 0.526713i | 0.0222440 | + | 0.0596385i | ||||
\(79\) | −0.503836 | − | 0.147940i | −0.0566860 | − | 0.0166445i | 0.253267 | − | 0.967397i | \(-0.418495\pi\) |
−0.309953 | + | 0.950752i | \(0.600313\pi\) | |||||||
\(80\) | 1.40262 | + | 1.74146i | 0.156817 | + | 0.194701i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | −2.37961 | − | 4.35794i | −0.262784 | − | 0.481254i | ||||
\(83\) | 2.74142 | − | 1.02250i | 0.300910 | − | 0.112234i | −0.194474 | − | 0.980908i | \(-0.562300\pi\) |
0.495384 | + | 0.868674i | \(0.335027\pi\) | |||||||
\(84\) | −2.51072 | − | 1.61354i | −0.273942 | − | 0.176052i | ||||
\(85\) | 7.23192 | − | 12.1816i | 0.784411 | − | 1.32128i | ||||
\(86\) | 0.511650 | + | 0.0735642i | 0.0551727 | + | 0.00793263i | ||||
\(87\) | 3.14632 | − | 8.43561i | 0.337321 | − | 0.904393i | ||||
\(88\) | 1.50097 | − | 2.00506i | 0.160004 | − | 0.213741i | ||||
\(89\) | −8.73923 | + | 5.61636i | −0.926356 | + | 0.595333i | −0.914495 | − | 0.404597i | \(-0.867412\pi\) |
−0.0118610 | + | 0.999930i | \(0.503776\pi\) | |||||||
\(90\) | −0.0792373 | − | 2.23466i | −0.00835234 | − | 0.235554i | ||||
\(91\) | 1.67775i | 0.175876i | ||||||||
\(92\) | 4.71412 | − | 0.881542i | 0.491481 | − | 0.0919071i | ||||
\(93\) | −3.24302 | + | 3.24302i | −0.336286 | + | 0.336286i | ||||
\(94\) | −3.28764 | − | 2.84876i | −0.339094 | − | 0.293827i | ||||
\(95\) | −13.5538 | + | 8.03716i | −1.39059 | + | 0.824595i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | −5.02502 | − | 1.87424i | −0.510214 | − | 0.190300i | 0.0811545 | − | 0.996702i | \(-0.474139\pi\) |
−0.591368 | + | 0.806402i | \(0.701412\pi\) | |||||||
\(98\) | −1.14294 | − | 1.52679i | −0.115455 | − | 0.154229i | ||||
\(99\) | −2.40318 | + | 0.705637i | −0.241529 | + | 0.0709192i | ||||
\(100\) | −2.99844 | + | 4.00117i | −0.299844 | + | 0.400117i | ||||
\(101\) | −0.112115 | + | 0.245498i | −0.0111559 | + | 0.0244279i | −0.915128 | − | 0.403164i | \(-0.867911\pi\) |
0.903972 | + | 0.427592i | \(0.140638\pi\) | |||||||
\(102\) | −5.56053 | + | 3.03628i | −0.550575 | + | 0.300636i | ||||
\(103\) | −0.0948770 | + | 1.32655i | −0.00934851 | + | 0.130709i | −0.999983 | − | 0.00583128i | \(-0.998144\pi\) |
0.990634 | + | 0.136540i | \(0.0435984\pi\) | |||||||
\(104\) | −0.424850 | + | 0.368135i | −0.0416600 | + | 0.0360986i | ||||
\(105\) | 2.10912 | − | 6.33148i | 0.205829 | − | 0.617889i | ||||
\(106\) | −12.8992 | − | 5.89085i | −1.25288 | − | 0.572170i | ||||
\(107\) | −6.15374 | + | 1.33866i | −0.594905 | + | 0.129414i | −0.499930 | − | 0.866066i | \(-0.666641\pi\) |
−0.0949750 | + | 0.995480i | \(0.530277\pi\) | |||||||
\(108\) | −0.479249 | + | 0.877679i | −0.0461158 | + | 0.0844547i | ||||
\(109\) | −2.67003 | + | 18.5705i | −0.255742 | + | 1.77873i | 0.306616 | + | 0.951833i | \(0.400803\pi\) |
−0.562358 | + | 0.826894i | \(0.690106\pi\) | |||||||
\(110\) | 5.17367 | + | 2.14456i | 0.493290 | + | 0.204476i | ||||
\(111\) | 4.26329 | − | 0.612968i | 0.404653 | − | 0.0581804i | ||||
\(112\) | 0.634400 | − | 2.91629i | 0.0599451 | − | 0.275563i | ||||
\(113\) | 20.3418 | − | 1.45487i | 1.91360 | − | 0.136863i | 0.936638 | − | 0.350298i | \(-0.113920\pi\) |
0.976957 | + | 0.213435i | \(0.0684650\pi\) | |||||||
\(114\) | 7.04702 | 0.660014 | ||||||||
\(115\) | 4.51434 | + | 9.72732i | 0.420964 | + | 0.907077i | ||||
\(116\) | 9.00327 | 0.835933 | ||||||||
\(117\) | 0.560725 | − | 0.0401038i | 0.0518390 | − | 0.00370760i | ||||
\(118\) | −1.03533 | + | 4.75935i | −0.0953102 | + | 0.438134i | ||||
\(119\) | −18.7158 | + | 2.69092i | −1.71567 | + | 0.246677i | ||||
\(120\) | 2.06608 | − | 0.855176i | 0.188606 | − | 0.0780666i | ||||
\(121\) | −0.672694 | + | 4.67869i | −0.0611540 | + | 0.425335i | ||||
\(122\) | 1.44118 | − | 2.63932i | 0.130478 | − | 0.238953i | ||||
\(123\) | −4.85182 | + | 1.05545i | −0.437474 | + | 0.0951667i | ||||
\(124\) | −4.17187 | − | 1.90523i | −0.374645 | − | 0.171095i | ||||
\(125\) | −10.3260 | − | 4.28648i | −0.923585 | − | 0.383394i | ||||
\(126\) | −2.25553 | + | 1.95443i | −0.200939 | + | 0.174114i | ||||
\(127\) | −0.371522 | + | 5.19456i | −0.0329673 | + | 0.460943i | 0.953977 | + | 0.299880i | \(0.0969467\pi\) |
−0.986944 | + | 0.161063i | \(0.948508\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | 0.214733 | − | 0.470200i | 0.0189062 | − | 0.0413988i | ||||
\(130\) | −1.03236 | − | 0.717173i | −0.0905439 | − | 0.0629002i | ||||
\(131\) | −0.678049 | + | 0.199093i | −0.0592414 | + | 0.0173949i | −0.311219 | − | 0.950338i | \(-0.600737\pi\) |
0.251978 | + | 0.967733i | \(0.418919\pi\) | |||||||
\(132\) | −1.50097 | − | 2.00506i | −0.130643 | − | 0.174518i | ||||
\(133\) | 19.7057 | + | 7.34986i | 1.70870 | + | 0.637313i | ||||
\(134\) | 2.22227 | + | 15.4562i | 0.191975 | + | 1.33522i | ||||
\(135\) | −2.16647 | − | 0.553550i | −0.186460 | − | 0.0476420i | ||||
\(136\) | −4.78805 | − | 4.14887i | −0.410572 | − | 0.355762i | ||||
\(137\) | −1.55815 | + | 1.55815i | −0.133122 | + | 0.133122i | −0.770528 | − | 0.637406i | \(-0.780007\pi\) |
0.637406 | + | 0.770528i | \(0.280007\pi\) | |||||||
\(138\) | 0.482287 | − | 4.77152i | 0.0410550 | − | 0.406179i | ||||
\(139\) | − | 6.45255i | − | 0.547298i | −0.961830 | − | 0.273649i | \(-0.911769\pi\) | ||
0.961830 | − | 0.273649i | \(-0.0882306\pi\) | |||||||
\(140\) | 6.66934 | − | 0.236483i | 0.563662 | − | 0.0199865i | ||||
\(141\) | −3.65960 | + | 2.35188i | −0.308194 | + | 0.198064i | ||||
\(142\) | −6.16868 | + | 8.24040i | −0.517665 | + | 0.691519i | ||||
\(143\) | −0.492045 | + | 1.31922i | −0.0411469 | + | 0.110319i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | 4.97375 | + | 19.5078i | 0.413048 | + | 1.62004i | ||||
\(146\) | −8.86438 | − | 5.69679i | −0.733622 | − | 0.471470i | ||||
\(147\) | −1.78695 | + | 0.666499i | −0.147385 | + | 0.0549719i | ||||
\(148\) | 2.06419 | + | 3.78027i | 0.169675 | + | 0.310737i | ||||
\(149\) | 8.34352 | + | 9.62894i | 0.683528 | + | 0.788833i | 0.986429 | − | 0.164189i | \(-0.0525006\pi\) |
−0.302901 | + | 0.953022i | \(0.597955\pi\) | |||||||
\(150\) | 2.99433 | + | 4.00424i | 0.244486 | + | 0.326945i | ||||
\(151\) | −3.25982 | − | 0.957169i | −0.265280 | − | 0.0778933i | 0.146388 | − | 0.989227i | \(-0.453235\pi\) |
−0.411668 | + | 0.911334i | \(0.635054\pi\) | |||||||
\(152\) | 2.46268 | + | 6.60270i | 0.199750 | + | 0.535550i | ||||
\(153\) | 1.34671 | + | 6.19071i | 0.108875 | + | 0.500489i | ||||
\(154\) | −2.10597 | − | 7.17227i | −0.169704 | − | 0.577958i | ||||
\(155\) | 1.82346 | − | 10.0919i | 0.146464 | − | 0.810603i | ||||
\(156\) | 0.233528 | + | 0.511356i | 0.0186972 | + | 0.0409413i | ||||
\(157\) | 18.6551 | + | 13.9650i | 1.48884 | + | 1.11453i | 0.964848 | + | 0.262809i | \(0.0846489\pi\) |
0.523992 | + | 0.851723i | \(0.324442\pi\) | |||||||
\(158\) | −0.513107 | − | 0.111619i | −0.0408206 | − | 0.00887997i | ||||
\(159\) | −9.28635 | + | 10.7170i | −0.736455 | + | 0.849915i | ||||
\(160\) | 1.52328 | + | 1.63696i | 0.120426 | + | 0.129413i | ||||
\(161\) | 6.32520 | − | 12.8397i | 0.498495 | − | 1.01191i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | −0.112658 | − | 1.57516i | −0.00882403 | − | 0.123376i | 0.991131 | − | 0.132891i | \(-0.0424259\pi\) |
−0.999955 | + | 0.00951456i | \(0.996971\pi\) | |||||||
\(164\) | −2.68444 | − | 4.17707i | −0.209620 | − | 0.326175i | ||||
\(165\) | 3.51528 | − | 4.35991i | 0.273664 | − | 0.339418i | ||||
\(166\) | 2.66149 | − | 1.21546i | 0.206572 | − | 0.0943382i | ||||
\(167\) | 9.73298 | − | 7.28602i | 0.753161 | − | 0.563809i | −0.152252 | − | 0.988342i | \(-0.548653\pi\) |
0.905413 | + | 0.424533i | \(0.139562\pi\) | |||||||
\(168\) | −2.61943 | − | 1.43032i | −0.202093 | − | 0.110351i | ||||
\(169\) | −6.85748 | + | 10.6704i | −0.527498 | + | 0.820803i | ||||
\(170\) | 6.34446 | − | 12.6665i | 0.486598 | − | 0.971476i | ||||
\(171\) | 1.98537 | − | 6.76157i | 0.151825 | − | 0.517070i | ||||
\(172\) | 0.515595 | + | 0.0368761i | 0.0393137 | + | 0.00281177i | ||||
\(173\) | −15.1698 | − | 1.08497i | −1.15334 | − | 0.0824884i | −0.518461 | − | 0.855101i | \(-0.673495\pi\) |
−0.634878 | + | 0.772613i | \(0.718949\pi\) | |||||||
\(174\) | 2.53651 | − | 8.63858i | 0.192293 | − | 0.654889i | ||||
\(175\) | 4.19680 | + | 14.3202i | 0.317248 | + | 1.08250i | ||||
\(176\) | 1.35411 | − | 2.10703i | 0.102070 | − | 0.158824i | ||||
\(177\) | 4.27488 | + | 2.33426i | 0.321319 | + | 0.175454i | ||||
\(178\) | −8.31629 | + | 6.22550i | −0.623333 | + | 0.466621i | ||||
\(179\) | −6.77381 | + | 3.09349i | −0.506298 | + | 0.231219i | −0.652153 | − | 0.758087i | \(-0.726134\pi\) |
0.145855 | + | 0.989306i | \(0.453407\pi\) | |||||||
\(180\) | −0.238454 | − | 2.22332i | −0.0177733 | − | 0.165716i | ||||
\(181\) | −12.9953 | − | 20.2211i | −0.965934 | − | 1.50302i | −0.861039 | − | 0.508539i | \(-0.830186\pi\) |
−0.104895 | − | 0.994483i | \(-0.533451\pi\) | |||||||
\(182\) | 0.119690 | + | 1.67348i | 0.00887198 | + | 0.124047i | ||||
\(183\) | −2.12639 | − | 2.12639i | −0.157187 | − | 0.157187i | ||||
\(184\) | 4.63922 | − | 1.21560i | 0.342008 | − | 0.0896150i | ||||
\(185\) | −7.05058 | + | 6.56095i | −0.518369 | + | 0.482370i | ||||
\(186\) | −3.00340 | + | 3.46611i | −0.220220 | + | 0.254148i | ||||
\(187\) | −15.5055 | − | 3.37301i | −1.13387 | − | 0.246659i | ||||
\(188\) | −3.48249 | − | 2.60696i | −0.253987 | − | 0.190132i | ||||
\(189\) | 1.23980 | + | 2.71479i | 0.0901824 | + | 0.197472i | ||||
\(190\) | −12.9459 | + | 8.98360i | −0.939197 | + | 0.651739i | ||||
\(191\) | −1.38105 | − | 4.70344i | −0.0999296 | − | 0.340329i | 0.894318 | − | 0.447431i | \(-0.147661\pi\) |
−0.994248 | + | 0.107102i | \(0.965843\pi\) | |||||||
\(192\) | −0.212565 | − | 0.977147i | −0.0153406 | − | 0.0705195i | ||||
\(193\) | −4.55557 | − | 12.2140i | −0.327917 | − | 0.879181i | −0.991386 | − | 0.130976i | \(-0.958189\pi\) |
0.663468 | − | 0.748205i | \(-0.269084\pi\) | |||||||
\(194\) | −5.14593 | − | 1.51098i | −0.369456 | − | 0.108482i | ||||
\(195\) | −0.978971 | + | 0.788491i | −0.0701056 | + | 0.0564650i | ||||
\(196\) | −1.24895 | − | 1.44137i | −0.0892108 | − | 0.102955i | ||||
\(197\) | −9.67105 | − | 17.7112i | −0.689034 | − | 1.26187i | −0.954632 | − | 0.297788i | \(-0.903751\pi\) |
0.265598 | − | 0.964084i | \(-0.414431\pi\) | |||||||
\(198\) | −2.34672 | + | 0.875280i | −0.166774 | + | 0.0622035i | ||||
\(199\) | −4.73484 | − | 3.04289i | −0.335644 | − | 0.215705i | 0.361952 | − | 0.932197i | \(-0.382110\pi\) |
−0.697596 | + | 0.716492i | \(0.745747\pi\) | |||||||
\(200\) | −2.70536 | + | 4.20488i | −0.191298 | + | 0.297330i | ||||
\(201\) | 15.4562 | + | 2.22227i | 1.09020 | + | 0.156747i | ||||
\(202\) | −0.0943158 | + | 0.252870i | −0.00663604 | + | 0.0177919i | ||||
\(203\) | 16.1027 | − | 21.5107i | 1.13019 | − | 1.50976i | ||||
\(204\) | −5.32976 | + | 3.42523i | −0.373158 | + | 0.239814i | ||||
\(205\) | 7.56769 | − | 8.12409i | 0.528550 | − | 0.567411i | ||||
\(206\) | 1.32994i | 0.0926615i | ||||||||
\(207\) | −4.44236 | − | 1.80704i | −0.308766 | − | 0.125598i | ||||
\(208\) | −0.397505 | + | 0.397505i | −0.0275620 | + | 0.0275620i | ||||
\(209\) | 13.3391 | + | 11.5584i | 0.922688 | + | 0.799513i | ||||
\(210\) | 1.65207 | − | 6.46581i | 0.114003 | − | 0.446183i | ||||
\(211\) | −1.18461 | − | 8.23912i | −0.0815516 | − | 0.567204i | −0.989099 | − | 0.147254i | \(-0.952957\pi\) |
0.907547 | − | 0.419950i | \(-0.137953\pi\) | |||||||
\(212\) | −13.2865 | − | 4.95563i | −0.912524 | − | 0.340354i | ||||
\(213\) | 6.16868 | + | 8.24040i | 0.422671 | + | 0.564623i | ||||
\(214\) | −6.04256 | + | 1.77426i | −0.413061 | + | 0.121286i | ||||
\(215\) | 0.204933 | + | 1.13754i | 0.0139763 | + | 0.0775794i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −12.0135 | + | 6.55989i | −0.815533 | + | 0.445315i | ||||
\(218\) | −1.33842 | + | 18.7136i | −0.0906495 | + | 1.26745i | ||||
\(219\) | −7.96342 | + | 6.90034i | −0.538118 | + | 0.466282i | ||||
\(220\) | 5.31348 | + | 1.77001i | 0.358235 | + | 0.119334i | ||||
\(221\) | 3.23969 | + | 1.47952i | 0.217925 | + | 0.0995232i | ||||
\(222\) | 4.20870 | − | 0.915546i | 0.282469 | − | 0.0614474i | ||||
\(223\) | −5.04313 | + | 9.23581i | −0.337713 | + | 0.618475i | −0.990253 | − | 0.139279i | \(-0.955522\pi\) |
0.652540 | + | 0.757754i | \(0.273703\pi\) | |||||||
\(224\) | 0.424738 | − | 2.95412i | 0.0283790 | − | 0.197380i | ||||
\(225\) | 4.68564 | − | 1.74492i | 0.312376 | − | 0.116328i | ||||
\(226\) | 20.1862 | − | 2.90234i | 1.34276 | − | 0.193060i | ||||
\(227\) | 3.92693 | − | 18.0518i | 0.260639 | − | 1.19814i | −0.641646 | − | 0.767001i | \(-0.721748\pi\) |
0.902286 | − | 0.431139i | \(-0.141888\pi\) | |||||||
\(228\) | 7.02906 | − | 0.502729i | 0.465511 | − | 0.0332940i | ||||
\(229\) | 2.94851 | 0.194843 | 0.0974215 | − | 0.995243i | \(-0.468940\pi\) | ||||
0.0974215 | + | 0.995243i | \(0.468940\pi\) | |||||||
\(230\) | 5.19678 | + | 9.38049i | 0.342665 | + | 0.618531i | ||||
\(231\) | −7.47507 | −0.491823 | ||||||||
\(232\) | 8.98033 | − | 0.642286i | 0.589588 | − | 0.0421681i | ||||
\(233\) | 4.49908 | − | 20.6819i | 0.294745 | − | 1.35492i | −0.556804 | − | 0.830644i | \(-0.687973\pi\) |
0.851549 | − | 0.524275i | \(-0.175664\pi\) | |||||||
\(234\) | 0.556435 | − | 0.0800033i | 0.0363753 | − | 0.00522998i | ||||
\(235\) | 3.72477 | − | 8.98588i | 0.242977 | − | 0.586174i | ||||
\(236\) | −0.693167 | + | 4.82109i | −0.0451214 | + | 0.313826i | ||||
\(237\) | −0.251657 | + | 0.460875i | −0.0163469 | + | 0.0299371i | ||||
\(238\) | −18.4761 | + | 4.01924i | −1.19763 | + | 0.260528i | ||||
\(239\) | −25.8952 | − | 11.8259i | −1.67502 | − | 0.764957i | −0.999622 | − | 0.0275058i | \(-0.991244\pi\) |
−0.675400 | − | 0.737451i | \(-0.736029\pi\) | |||||||
\(240\) | 1.99981 | − | 1.00039i | 0.129087 | − | 0.0645749i | ||||
\(241\) | 3.08360 | − | 2.67195i | 0.198632 | − | 0.172116i | −0.549865 | − | 0.835253i | \(-0.685321\pi\) |
0.748498 | + | 0.663138i | \(0.230776\pi\) | |||||||
\(242\) | −0.337206 | + | 4.71476i | −0.0216764 | + | 0.303076i | ||||
\(243\) | 0.877679 | − | 0.479249i | 0.0563031 | − | 0.0307438i | ||||
\(244\) | 1.24922 | − | 2.73541i | 0.0799732 | − | 0.175117i | ||||
\(245\) | 2.43311 | − | 3.50243i | 0.155446 | − | 0.223762i | ||||
\(246\) | −4.76417 | + | 1.39889i | −0.303752 | + | 0.0891897i | ||||
\(247\) | −2.37406 | − | 3.17137i | −0.151058 | − | 0.201789i | ||||
\(248\) | −4.29716 | − | 1.60276i | −0.272870 | − | 0.101775i | ||||
\(249\) | −0.416399 | − | 2.89612i | −0.0263882 | − | 0.183534i | ||||
\(250\) | −10.6055 | − | 3.53891i | −0.670749 | − | 0.223820i | ||||
\(251\) | 10.5939 | + | 9.17967i | 0.668681 | + | 0.579416i | 0.921633 | − | 0.388063i | \(-0.126856\pi\) |
−0.252951 | + | 0.967479i | \(0.581401\pi\) | |||||||
\(252\) | −2.11036 | + | 2.11036i | −0.132940 | + | 0.132940i | ||||
\(253\) | 8.73910 | − | 8.24086i | 0.549422 | − | 0.518098i | ||||
\(254\) | 5.20783i | 0.326768i | ||||||||
\(255\) | −10.3660 | − | 9.65603i | −0.649143 | − | 0.604684i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 11.3741 | − | 15.1941i | 0.709500 | − | 0.947781i | −0.290459 | − | 0.956888i | \(-0.593808\pi\) |
0.999959 | + | 0.00910663i | \(0.00289877\pi\) | |||||||
\(258\) | 0.180642 | − | 0.484320i | 0.0112463 | − | 0.0301525i | ||||
\(259\) | 12.7238 | + | 1.82940i | 0.790615 | + | 0.113673i | ||||
\(260\) | −1.08089 | − | 0.641698i | −0.0670341 | − | 0.0397964i | ||||
\(261\) | −7.57403 | − | 4.86754i | −0.468821 | − | 0.301293i | ||||
\(262\) | −0.662118 | + | 0.246957i | −0.0409058 | + | 0.0152571i | ||||
\(263\) | 14.7122 | + | 26.9433i | 0.907191 | + | 1.66140i | 0.736900 | + | 0.676002i | \(0.236289\pi\) |
0.170291 | + | 0.985394i | \(0.445529\pi\) | |||||||
\(264\) | −1.64019 | − | 1.89288i | −0.100947 | − | 0.116499i | ||||
\(265\) | 3.39761 | − | 31.5263i | 0.208714 | − | 1.93665i | ||||
\(266\) | 20.1798 | + | 5.92534i | 1.23731 | + | 0.363306i | ||||
\(267\) | 3.63035 | + | 9.73335i | 0.222174 | + | 0.595671i | ||||
\(268\) | 3.31924 | + | 15.2583i | 0.202755 | + | 0.932050i | ||||
\(269\) | −5.96439 | − | 20.3129i | −0.363656 | − | 1.23850i | −0.914738 | − | 0.404047i | \(-0.867603\pi\) |
0.551083 | − | 0.834451i | \(-0.314215\pi\) | |||||||
\(270\) | −2.20044 | − | 0.397585i | −0.133914 | − | 0.0241963i | ||||
\(271\) | −4.15588 | − | 9.10010i | −0.252452 | − | 0.552792i | 0.740397 | − | 0.672169i | \(-0.234637\pi\) |
−0.992849 | + | 0.119378i | \(0.961910\pi\) | |||||||
\(272\) | −5.07183 | − | 3.79672i | −0.307525 | − | 0.230210i | ||||
\(273\) | 1.63941 | + | 0.356632i | 0.0992217 | + | 0.0215844i | ||||
\(274\) | −1.44303 | + | 1.66534i | −0.0871764 | + | 0.100607i | ||||
\(275\) | −0.899801 | + | 12.4908i | −0.0542601 | + | 0.753224i | ||||
\(276\) | 0.140662 | − | 4.79377i | 0.00846683 | − | 0.288551i | ||||
\(277\) | −1.31549 | − | 1.31549i | −0.0790400 | − | 0.0790400i | 0.666482 | − | 0.745522i | \(-0.267800\pi\) |
−0.745522 | + | 0.666482i | \(0.767800\pi\) | |||||||
\(278\) | −0.460319 | − | 6.43611i | −0.0276081 | − | 0.386012i | ||||
\(279\) | 2.47955 | + | 3.85826i | 0.148447 | + | 0.230988i | ||||
\(280\) | 6.63548 | − | 0.711666i | 0.396546 | − | 0.0425302i | ||||
\(281\) | 7.78865 | − | 3.55696i | 0.464632 | − | 0.212190i | −0.169322 | − | 0.985561i | \(-0.554158\pi\) |
0.633955 | + | 0.773370i | \(0.281431\pi\) | |||||||
\(282\) | −3.48249 | + | 2.60696i | −0.207379 | + | 0.155242i | ||||
\(283\) | 19.7823 | + | 10.8020i | 1.17594 | + | 0.642109i | 0.943782 | − | 0.330570i | \(-0.107241\pi\) |
0.232154 | + | 0.972679i | \(0.425423\pi\) | |||||||
\(284\) | −5.56510 | + | 8.65947i | −0.330228 | + | 0.513845i | ||||
\(285\) | 4.97241 | + | 14.9525i | 0.294540 | + | 0.885710i | ||||
\(286\) | −0.396679 | + | 1.35096i | −0.0234561 | + | 0.0798842i | ||||
\(287\) | −14.7811 | − | 1.05717i | −0.872503 | − | 0.0624026i | ||||
\(288\) | −0.997452 | − | 0.0713392i | −0.0587754 | − | 0.00420370i | ||||
\(289\) | −6.51887 | + | 22.2012i | −0.383463 | + | 1.30595i | ||||
\(290\) | 6.35275 | + | 19.1033i | 0.373047 | + | 1.12179i | ||||
\(291\) | −2.89955 | + | 4.51179i | −0.169975 | + | 0.264486i | ||||
\(292\) | −9.24820 | − | 5.04990i | −0.541210 | − | 0.295523i | ||||
\(293\) | −17.4245 | + | 13.0438i | −1.01795 | + | 0.762028i | −0.971535 | − | 0.236895i | \(-0.923870\pi\) |
−0.0464144 | + | 0.998922i | \(0.514779\pi\) | |||||||
\(294\) | −1.73485 | + | 0.792280i | −0.101179 | + | 0.0462067i | ||||
\(295\) | −10.8290 | + | 1.16143i | −0.630490 | + | 0.0676211i | ||||
\(296\) | 2.32861 | + | 3.62339i | 0.135348 | + | 0.210605i | ||||
\(297\) | 0.178679 | + | 2.49825i | 0.0103680 | + | 0.144963i | ||||
\(298\) | 9.00918 | + | 9.00918i | 0.521888 | + | 0.521888i | ||||
\(299\) | −2.30980 | + | 1.39043i | −0.133579 | + | 0.0804104i | ||||
\(300\) | 3.27236 | + | 3.78043i | 0.188930 | + | 0.218263i | ||||
\(301\) | 1.01027 | − | 1.16591i | 0.0582308 | − | 0.0672019i | ||||
\(302\) | −3.31980 | − | 0.722177i | −0.191033 | − | 0.0415566i | ||||
\(303\) | 0.216056 | + | 0.161737i | 0.0124121 | + | 0.00929156i | ||||
\(304\) | 2.92744 | + | 6.41019i | 0.167900 | + | 0.367650i | ||||
\(305\) | 6.61708 | + | 1.19560i | 0.378893 | + | 0.0684601i | ||||
\(306\) | 1.78492 | + | 6.07886i | 0.102037 | + | 0.347505i | ||||
\(307\) | 2.01544 | + | 9.26483i | 0.115027 | + | 0.528772i | 0.998213 | + | 0.0597492i | \(0.0190301\pi\) |
−0.883186 | + | 0.469023i | \(0.844606\pi\) | |||||||
\(308\) | −2.61227 | − | 7.00376i | −0.148848 | − | 0.399076i | ||||
\(309\) | 1.27607 | + | 0.374688i | 0.0725931 | + | 0.0213153i | ||||
\(310\) | 1.09886 | − | 10.1963i | 0.0624111 | − | 0.579111i | ||||
\(311\) | 16.2666 | + | 18.7726i | 0.922393 | + | 1.06450i | 0.997730 | + | 0.0673403i | \(0.0214513\pi\) |
−0.0753369 | + | 0.997158i | \(0.524003\pi\) | |||||||
\(312\) | 0.269413 | + | 0.493393i | 0.0152525 | + | 0.0279329i | ||||
\(313\) | 21.9391 | − | 8.18288i | 1.24007 | − | 0.462524i | 0.358038 | − | 0.933707i | \(-0.383446\pi\) |
0.882035 | + | 0.471183i | \(0.156173\pi\) | |||||||
\(314\) | 19.6038 | + | 12.5986i | 1.10631 | + | 0.710981i | ||||
\(315\) | −5.73846 | − | 3.40677i | −0.323325 | − | 0.191950i | ||||
\(316\) | −0.519762 | − | 0.0747305i | −0.0292389 | − | 0.00420392i | ||||
\(317\) | 8.25277 | − | 22.1265i | 0.463522 | − | 1.24275i | −0.469501 | − | 0.882932i | \(-0.655566\pi\) |
0.933023 | − | 0.359818i | \(-0.117161\pi\) | |||||||
\(318\) | −8.49814 | + | 11.3522i | −0.476552 | + | 0.636599i | ||||
\(319\) | 18.9702 | − | 12.1914i | 1.06213 | − | 0.682587i | ||||
\(320\) | 1.63618 | + | 1.52412i | 0.0914650 | + | 0.0852007i | ||||
\(321\) | 6.29766i | 0.351501i | ||||||||
\(322\) | 5.39311 | − | 13.2582i | 0.300546 | − | 0.738851i | ||||
\(323\) | 31.5697 | − | 31.5697i | 1.75659 | − | 1.75659i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 0.793273 | − | 2.69652i | 0.0440029 | − | 0.149576i | ||||
\(326\) | −0.224741 | − | 1.56311i | −0.0124473 | − | 0.0865727i | ||||
\(327\) | 17.5785 | + | 6.55644i | 0.972094 | + | 0.362572i | ||||
\(328\) | −2.97559 | − | 3.97492i | −0.164300 | − | 0.219478i | ||||
\(329\) | −12.4572 | + | 3.65775i | −0.686785 | + | 0.201658i | ||||
\(330\) | 3.19529 | − | 4.59958i | 0.175895 | − | 0.253198i | ||||
\(331\) | −9.71322 | + | 21.2690i | −0.533887 | + | 1.16905i | 0.430023 | + | 0.902818i | \(0.358506\pi\) |
−0.963909 | + | 0.266231i | \(0.914222\pi\) | |||||||
\(332\) | 2.56800 | − | 1.40223i | 0.140937 | − | 0.0769576i | ||||
\(333\) | 0.307267 | − | 4.29615i | 0.0168381 | − | 0.235428i | ||||
\(334\) | 9.18840 | − | 7.96180i | 0.502767 | − | 0.435650i | ||||
\(335\) | −31.2273 | + | 15.6213i | −1.70613 | + | 0.853481i | ||||
\(336\) | −2.71479 | − | 1.23980i | −0.148104 | − | 0.0676368i | ||||
\(337\) | 22.2709 | − | 4.84473i | 1.21317 | − | 0.263909i | 0.439937 | − | 0.898029i | \(-0.355001\pi\) |
0.773235 | + | 0.634120i | \(0.218637\pi\) | |||||||
\(338\) | −6.07878 | + | 11.1325i | −0.330642 | + | 0.605526i | ||||
\(339\) | 2.90234 | − | 20.1862i | 0.157633 | − | 1.09636i | ||||
\(340\) | 5.42468 | − | 13.0868i | 0.294195 | − | 0.709734i | ||||
\(341\) | −11.3702 | + | 1.63478i | −0.615728 | + | 0.0885284i | ||||
\(342\) | 1.49795 | − | 6.88597i | 0.0810000 | − | 0.372351i | ||||
\(343\) | 15.1607 | − | 1.08431i | 0.818601 | − | 0.0585475i | ||||
\(344\) | 0.516912 | 0.0278700 | ||||||||
\(345\) | 10.4646 | − | 2.34348i | 0.563396 | − | 0.126169i | ||||
\(346\) | −15.2086 | −0.817617 | ||||||||
\(347\) | 12.7998 | − | 0.915459i | 0.687129 | − | 0.0491444i | 0.276591 | − | 0.960988i | \(-0.410795\pi\) |
0.410538 | + | 0.911843i | \(0.365341\pi\) | |||||||
\(348\) | 1.91378 | − | 8.79752i | 0.102590 | − | 0.471596i | ||||
\(349\) | 7.61352 | − | 1.09466i | 0.407542 | − | 0.0585958i | 0.0645047 | − | 0.997917i | \(-0.479453\pi\) |
0.343038 | + | 0.939322i | \(0.388544\pi\) | |||||||
\(350\) | 5.20769 | + | 13.9843i | 0.278363 | + | 0.747491i | ||||
\(351\) | 0.0800033 | − | 0.556435i | 0.00427026 | − | 0.0297003i | ||||
\(352\) | 1.20034 | − | 2.19827i | 0.0639785 | − | 0.117168i | ||||
\(353\) | 7.82457 | − | 1.70213i | 0.416460 | − | 0.0905953i | 0.000547293 | − | 1.00000i | \(-0.499826\pi\) |
0.415913 | + | 0.909405i | \(0.363462\pi\) | |||||||
\(354\) | 4.43051 | + | 2.02335i | 0.235479 | + | 0.107540i | ||||
\(355\) | −21.8373 | − | 7.27437i | −1.15900 | − | 0.386084i | ||||
\(356\) | −7.85098 | + | 6.80292i | −0.416101 | + | 0.360554i | ||||
\(357\) | −1.34890 | + | 18.8601i | −0.0713913 | + | 0.998181i | ||||
\(358\) | −6.53586 | + | 3.56885i | −0.345431 | + | 0.188620i | ||||
\(359\) | 2.46715 | − | 5.40232i | 0.130211 | − | 0.285123i | −0.833285 | − | 0.552843i | \(-0.813543\pi\) |
0.963497 | + | 0.267720i | \(0.0862701\pi\) | |||||||
\(360\) | −0.396457 | − | 2.20064i | −0.0208951 | − | 0.115984i | ||||
\(361\) | −29.4185 | + | 8.63806i | −1.54834 | + | 0.454635i | ||||
\(362\) | −14.4048 | − | 19.2425i | −0.757097 | − | 1.01136i | ||||
\(363\) | 4.42878 | + | 1.65185i | 0.232450 | + | 0.0866995i | ||||
\(364\) | 0.238769 | + | 1.66068i | 0.0125149 | + | 0.0870431i | ||||
\(365\) | 5.83282 | − | 22.8283i | 0.305304 | − | 1.19489i | ||||
\(366\) | −2.27266 | − | 1.96927i | −0.118794 | − | 0.102936i | ||||
\(367\) | 15.4537 | − | 15.4537i | 0.806677 | − | 0.806677i | −0.177452 | − | 0.984129i | \(-0.556785\pi\) |
0.984129 | + | 0.177452i | \(0.0567855\pi\) | |||||||
\(368\) | 4.54068 | − | 1.54346i | 0.236699 | − | 0.0804583i | ||||
\(369\) | 4.96530i | 0.258483i | ||||||||
\(370\) | −6.56456 | + | 7.04721i | −0.341275 | + | 0.366367i | ||||
\(371\) | −35.6036 | + | 22.8810i | −1.84844 | + | 1.18792i | ||||
\(372\) | −2.74848 | + | 3.67154i | −0.142502 | + | 0.190361i | ||||
\(373\) | −5.86802 | + | 15.7328i | −0.303834 | + | 0.814612i | 0.691870 | + | 0.722022i | \(0.256787\pi\) |
−0.995704 | + | 0.0925895i | \(0.970486\pi\) | |||||||
\(374\) | −15.7066 | − | 2.25827i | −0.812168 | − | 0.116772i | ||||
\(375\) | −6.38347 | + | 9.17885i | −0.329641 | + | 0.473994i | ||||
\(376\) | −3.65960 | − | 2.35188i | −0.188729 | − | 0.121289i | ||||
\(377\) | −4.74214 | + | 1.76873i | −0.244233 | + | 0.0910940i | ||||
\(378\) | 1.43032 | + | 2.61943i | 0.0735675 | + | 0.134729i | ||||
\(379\) | 0.0661737 | + | 0.0763685i | 0.00339911 | + | 0.00392279i | 0.757447 | − | 0.652897i | \(-0.226447\pi\) |
−0.754047 | + | 0.656820i | \(0.771901\pi\) | |||||||
\(380\) | −12.2721 | + | 9.88427i | −0.629544 | + | 0.507052i | ||||
\(381\) | 4.99688 | + | 1.46722i | 0.255998 | + | 0.0751677i | ||||
\(382\) | −1.71308 | − | 4.59293i | −0.0876485 | − | 0.234995i | ||||
\(383\) | −1.97827 | − | 9.09396i | −0.101085 | − | 0.464680i | −0.999665 | − | 0.0258708i | \(-0.991764\pi\) |
0.898580 | − | 0.438809i | \(-0.144599\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | 13.7323 | − | 9.52928i | 0.699863 | − | 0.485657i | ||||
\(386\) | −5.41530 | − | 11.8579i | −0.275632 | − | 0.603549i | ||||
\(387\) | −0.413809 | − | 0.309774i | −0.0210351 | − | 0.0157467i | ||||
\(388\) | −5.24061 | − | 1.14002i | −0.266051 | − | 0.0578760i | ||||
\(389\) | 2.70268 | − | 3.11905i | 0.137031 | − | 0.158142i | −0.683086 | − | 0.730338i | \(-0.739363\pi\) |
0.820117 | + | 0.572195i | \(0.193908\pi\) | |||||||
\(390\) | −0.920227 | + | 0.856321i | −0.0465975 | + | 0.0433615i | ||||
\(391\) | −19.2152 | − | 23.5364i | −0.971755 | − | 1.19029i | ||||
\(392\) | −1.34860 | − | 1.34860i | −0.0681143 | − | 0.0681143i | ||||
\(393\) | 0.0504136 | + | 0.704874i | 0.00254303 | + | 0.0355562i | ||||
\(394\) | −10.9099 | − | 16.9762i | −0.549634 | − | 0.855247i | ||||
\(395\) | −0.125214 | − | 1.16748i | −0.00630020 | − | 0.0587422i | ||||
\(396\) | −2.27830 | + | 1.04046i | −0.114489 | + | 0.0522852i | ||||
\(397\) | −2.03297 | + | 1.52186i | −0.102032 | + | 0.0763800i | −0.649075 | − | 0.760724i | \(-0.724844\pi\) |
0.547044 | + | 0.837104i | \(0.315753\pi\) | |||||||
\(398\) | −4.93985 | − | 2.69736i | −0.247612 | − | 0.135207i | ||||
\(399\) | 11.3706 | − | 17.6931i | 0.569244 | − | 0.885761i | ||||
\(400\) | −2.39850 | + | 4.38717i | −0.119925 | + | 0.219358i | ||||
\(401\) | 2.17359 | − | 7.40258i | 0.108544 | − | 0.369667i | −0.887250 | − | 0.461289i | \(-0.847387\pi\) |
0.995794 | + | 0.0916223i | \(0.0292052\pi\) | |||||||
\(402\) | 15.5754 | + | 1.11397i | 0.776830 | + | 0.0555600i | ||||
\(403\) | 2.57167 | + | 0.183929i | 0.128104 | + | 0.00916217i | ||||
\(404\) | −0.0760359 | + | 0.258955i | −0.00378293 | + | 0.0128835i | ||||
\(405\) | −1.00142 | + | 1.99929i | −0.0497607 | + | 0.0993456i | ||||
\(406\) | 14.5271 | − | 22.6047i | 0.720969 | − | 1.12185i | ||||
\(407\) | 9.46821 | + | 5.17003i | 0.469322 | + | 0.256269i | ||||
\(408\) | −5.07183 | + | 3.79672i | −0.251093 | + | 0.187966i | ||||
\(409\) | 10.0553 | − | 4.59209i | 0.497201 | − | 0.227064i | −0.150999 | − | 0.988534i | \(-0.548249\pi\) |
0.648201 | + | 0.761470i | \(0.275522\pi\) | |||||||
\(410\) | 6.96884 | − | 8.64327i | 0.344167 | − | 0.426861i | ||||
\(411\) | 1.19133 | + | 1.85375i | 0.0587642 | + | 0.0914389i | ||||
\(412\) | 0.0948770 | + | 1.32655i | 0.00467425 | + | 0.0653546i | ||||
\(413\) | 10.2788 | + | 10.2788i | 0.505788 | + | 0.505788i | ||||
\(414\) | −4.55996 | − | 1.48552i | −0.224110 | − | 0.0730095i | ||||
\(415\) | 4.45695 | + | 4.78957i | 0.218783 | + | 0.235111i | ||||
\(416\) | −0.368135 | + | 0.424850i | −0.0180493 | + | 0.0208300i | ||||
\(417\) | −6.30508 | − | 1.37159i | −0.308761 | − | 0.0671669i | ||||
\(418\) | 14.1297 | + | 10.5774i | 0.691107 | + | 0.517357i | ||||
\(419\) | −1.79476 | − | 3.92998i | −0.0876799 | − | 0.191992i | 0.860712 | − | 0.509091i | \(-0.170018\pi\) |
−0.948392 | + | 0.317099i | \(0.897291\pi\) | |||||||
\(420\) | 1.18659 | − | 6.56719i | 0.0578997 | − | 0.320446i | ||||
\(421\) | −1.97497 | − | 6.72611i | −0.0962539 | − | 0.327811i | 0.897263 | − | 0.441497i | \(-0.145552\pi\) |
−0.993517 | + | 0.113686i | \(0.963734\pi\) | |||||||
\(422\) | −1.76936 | − | 8.13362i | −0.0861311 | − | 0.395938i | ||||
\(423\) | 1.52023 | + | 4.07589i | 0.0739161 | + | 0.198177i | ||||
\(424\) | −13.6062 | − | 3.99515i | −0.660777 | − | 0.194022i | ||||
\(425\) | 31.3527 | + | 4.52426i | 1.52083 | + | 0.219459i | ||||
\(426\) | 6.74083 | + | 7.77933i | 0.326594 | + | 0.376910i | ||||
\(427\) | −4.30119 | − | 7.87705i | −0.208149 | − | 0.381197i | ||||
\(428\) | −5.90059 | + | 2.20081i | −0.285216 | + | 0.106380i | ||||
\(429\) | 1.18448 | + | 0.761221i | 0.0571874 | + | 0.0367521i | ||||
\(430\) | 0.285562 | + | 1.12002i | 0.0137710 | + | 0.0540121i | ||||
\(431\) | 28.4223 | + | 4.08651i | 1.36905 | + | 0.196840i | 0.787323 | − | 0.616540i | \(-0.211466\pi\) |
0.581732 | + | 0.813381i | \(0.302375\pi\) | |||||||
\(432\) | −0.349464 | + | 0.936950i | −0.0168136 | + | 0.0450790i | ||||
\(433\) | −11.6987 | + | 15.6276i | −0.562203 | + | 0.751016i | −0.988110 | − | 0.153752i | \(-0.950864\pi\) |
0.425906 | + | 0.904767i | \(0.359955\pi\) | |||||||
\(434\) | −11.5150 | + | 7.40022i | −0.552736 | + | 0.355222i | ||||
\(435\) | 20.1193 | − | 0.713395i | 0.964646 | − | 0.0342047i | ||||
\(436\) | 18.7614i | 0.898509i | ||||||||
\(437\) | 6.21224 | + | 33.2205i | 0.297172 | + | 1.58915i | ||||
\(438\) | −7.45086 | + | 7.45086i | −0.356016 | + | 0.356016i | ||||
\(439\) | −19.6822 | − | 17.0548i | −0.939382 | − | 0.813979i | 0.0433416 | − | 0.999060i | \(-0.486200\pi\) |
−0.982723 | + | 0.185082i | \(0.940745\pi\) | |||||||
\(440\) | 5.42621 | + | 1.38644i | 0.258684 | + | 0.0660960i | ||||
\(441\) | 0.271423 | + | 1.88779i | 0.0129249 | + | 0.0898947i | ||||
\(442\) | 3.33699 | + | 1.24463i | 0.158724 | + | 0.0592011i | ||||
\(443\) | −0.197115 | − | 0.263314i | −0.00936519 | − | 0.0125104i | 0.795834 | − | 0.605515i | \(-0.207033\pi\) |
−0.805199 | + | 0.593004i | \(0.797942\pi\) | |||||||
\(444\) | 4.13266 | − | 1.21346i | 0.196127 | − | 0.0575882i | ||||
\(445\) | −19.0774 | − | 13.2529i | −0.904356 | − | 0.628249i | ||||
\(446\) | −4.37141 | + | 9.57205i | −0.206992 | + | 0.453250i | ||||
\(447\) | 11.1824 | − | 6.10607i | 0.528911 | − | 0.288807i | ||||
\(448\) | 0.212911 | − | 2.97689i | 0.0100591 | − | 0.140645i | ||||
\(449\) | 8.86767 | − | 7.68388i | 0.418491 | − | 0.362625i | −0.420015 | − | 0.907517i | \(-0.637975\pi\) |
0.838506 | + | 0.544893i | \(0.183430\pi\) | |||||||
\(450\) | 4.54922 | − | 2.07474i | 0.214453 | − | 0.0978043i | ||||
\(451\) | −11.3124 | − | 5.16621i | −0.532681 | − | 0.243267i | ||||
\(452\) | 19.9277 | − | 4.33501i | 0.937320 | − | 0.203902i | ||||
\(453\) | −1.62822 | + | 2.98186i | −0.0765004 | + | 0.140100i | ||||
\(454\) | 2.62912 | − | 18.2859i | 0.123391 | − | 0.858202i | ||||
\(455\) | −3.46637 | + | 1.43478i | −0.162506 | + | 0.0672633i | ||||
\(456\) | 6.97529 | − | 1.00290i | 0.326648 | − | 0.0469649i | ||||
\(457\) | 4.15030 | − | 19.0786i | 0.194143 | − | 0.892461i | −0.772235 | − | 0.635337i | \(-0.780861\pi\) |
0.966378 | − | 0.257124i | \(-0.0827750\pi\) | |||||||
\(458\) | 2.94100 | − | 0.210344i | 0.137424 | − | 0.00982875i | ||||
\(459\) | 6.33550 | 0.295716 | ||||||||
\(460\) | 5.85273 | + | 8.98585i | 0.272885 | + | 0.418967i | ||||
\(461\) | 18.2925 | 0.851966 | 0.425983 | − | 0.904731i | \(-0.359928\pi\) | ||||
0.425983 | + | 0.904731i | \(0.359928\pi\) | |||||||
\(462\) | −7.45602 | + | 0.533265i | −0.346886 | + | 0.0248097i | ||||
\(463\) | −0.734162 | + | 3.37489i | −0.0341194 | + | 0.156844i | −0.991055 | − | 0.133457i | \(-0.957392\pi\) |
0.956935 | + | 0.290302i | \(0.0937557\pi\) | |||||||
\(464\) | 8.91163 | − | 1.28130i | 0.413712 | − | 0.0594828i | ||||
\(465\) | −9.47369 | − | 3.92698i | −0.439332 | − | 0.182109i | ||||
\(466\) | 3.01219 | − | 20.9502i | 0.139537 | − | 0.970500i | ||||
\(467\) | −4.78928 | + | 8.77091i | −0.221621 | + | 0.405869i | −0.964706 | − | 0.263328i | \(-0.915180\pi\) |
0.743085 | + | 0.669197i | \(0.233362\pi\) | |||||||
\(468\) | 0.549310 | − | 0.119495i | 0.0253919 | − | 0.00552366i | ||||
\(469\) | 42.3919 | + | 19.3598i | 1.95748 | + | 0.893950i | ||||
\(470\) | 3.07424 | − | 9.22871i | 0.141804 | − | 0.425688i | ||||
\(471\) | 17.6113 | − | 15.2603i | 0.811487 | − | 0.703158i | ||||
\(472\) | −0.347469 | + | 4.85825i | −0.0159936 | + | 0.223619i | ||||
\(473\) | 1.13631 | − | 0.620472i | 0.0522476 | − | 0.0285293i | ||||
\(474\) | −0.218137 | + | 0.477654i | −0.0100194 | + | 0.0219394i | ||||
\(475\) | −28.1963 | − | 21.1301i | −1.29374 | − | 0.969514i | ||||
\(476\) | −18.1423 | + | 5.32707i | −0.831552 | + | 0.244166i | ||||
\(477\) | 8.49814 | + | 11.3522i | 0.389103 | + | 0.519781i | ||||
\(478\) | −26.6729 | − | 9.94847i | −1.21999 | − | 0.455033i | ||||
\(479\) | 4.04200 | + | 28.1127i | 0.184684 | + | 1.28450i | 0.845508 | + | 0.533962i | \(0.179298\pi\) |
−0.660825 | + | 0.750540i | \(0.729793\pi\) | |||||||
\(480\) | 1.92334 | − | 1.14051i | 0.0877882 | − | 0.0520567i | ||||
\(481\) | −1.82988 | − | 1.58560i | −0.0834355 | − | 0.0722972i | ||||
\(482\) | 2.88513 | − | 2.88513i | 0.131414 | − | 0.131414i | ||||
\(483\) | −11.2017 | − | 8.90992i | −0.509697 | − | 0.405415i | ||||
\(484\) | 4.72680i | 0.214855i | ||||||||
\(485\) | −0.424963 | − | 11.9849i | −0.0192966 | − | 0.544206i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | 3.36129 | − | 4.49016i | 0.152315 | − | 0.203468i | −0.717893 | − | 0.696153i | \(-0.754893\pi\) |
0.870208 | + | 0.492685i | \(0.163984\pi\) | |||||||
\(488\) | 1.05090 | − | 2.81756i | 0.0475718 | − | 0.127545i | ||||
\(489\) | −1.56311 | − | 0.224741i | −0.0706863 | − | 0.0101632i | ||||
\(490\) | 2.17705 | − | 3.66709i | 0.0983493 | − | 0.165662i | ||||
\(491\) | 15.6329 | + | 10.0466i | 0.705501 | + | 0.453398i | 0.843566 | − | 0.537025i | \(-0.180452\pi\) |
−0.138065 | + | 0.990423i | \(0.544088\pi\) | |||||||
\(492\) | −4.65223 | + | 1.73519i | −0.209739 | + | 0.0782285i | ||||
\(493\) | −27.3364 | − | 50.0630i | −1.23117 | − | 2.25472i | ||||
\(494\) | −2.59425 | − | 2.99393i | −0.116721 | − | 0.134703i | ||||
\(495\) | −3.51304 | − | 4.36171i | −0.157900 | − | 0.196044i | ||||
\(496\) | −4.40055 | − | 1.29212i | −0.197590 | − | 0.0580178i | ||||
\(497\) | 10.7359 | + | 28.7840i | 0.481570 | + | 1.29114i | ||||
\(498\) | −0.621945 | − | 2.85903i | −0.0278700 | − | 0.128116i | ||||
\(499\) | −0.922745 | − | 3.14258i | −0.0413077 | − | 0.140681i | 0.936257 | − | 0.351315i | \(-0.114265\pi\) |
−0.977565 | + | 0.210634i | \(0.932447\pi\) | |||||||
\(500\) | −10.8309 | − | 2.77331i | −0.484373 | − | 0.124026i | ||||
\(501\) | −5.05062 | − | 11.0593i | −0.225645 | − | 0.494093i | ||||
\(502\) | 11.2218 | + | 8.40052i | 0.500853 | + | 0.374934i | ||||
\(503\) | 23.7696 | + | 5.17075i | 1.05983 | + | 0.230552i | 0.708509 | − | 0.705702i | \(-0.249368\pi\) |
0.351323 | + | 0.936254i | \(0.385732\pi\) | |||||||
\(504\) | −1.95443 | + | 2.25553i | −0.0870571 | + | 0.100469i | ||||
\(505\) | −0.603095 | − | 0.0216945i | −0.0268374 | − | 0.000965393i | ||||
\(506\) | 8.12893 | − | 8.84330i | 0.361375 | − | 0.393133i | ||||
\(507\) | 8.96893 | + | 8.96893i | 0.398324 | + | 0.398324i | ||||
\(508\) | 0.371522 | + | 5.19456i | 0.0164836 | + | 0.230471i | ||||
\(509\) | −13.4724 | − | 20.9635i | −0.597153 | − | 0.929189i | −0.999904 | − | 0.0138789i | \(-0.995582\pi\) |
0.402750 | − | 0.915310i | \(-0.368054\pi\) | |||||||
\(510\) | −11.0284 | − | 8.89193i | −0.488347 | − | 0.393741i | ||||
\(511\) | −28.6061 | + | 13.0639i | −1.26546 | + | 0.577915i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | −6.18502 | − | 3.37728i | −0.273075 | − | 0.149110i | ||||
\(514\) | 10.2612 | − | 15.9668i | 0.452604 | − | 0.704265i | ||||
\(515\) | −2.82190 | + | 0.938414i | −0.124348 | + | 0.0413515i | ||||
\(516\) | 0.145631 | − | 0.495973i | 0.00641104 | − | 0.0218340i | ||||
\(517\) | −10.8678 | − | 0.777283i | −0.477967 | − | 0.0341849i | ||||
\(518\) | 12.8218 | + | 0.917036i | 0.563359 | + | 0.0402923i | ||||
\(519\) | −4.28474 | + | 14.5925i | −0.188079 | + | 0.640540i | ||||
\(520\) | −1.12392 | − | 0.562953i | −0.0492870 | − | 0.0246871i | ||||
\(521\) | 14.7268 | − | 22.9153i | 0.645191 | − | 1.00394i | −0.352486 | − | 0.935817i | \(-0.614664\pi\) |
0.997677 | − | 0.0681199i | \(-0.0217000\pi\) | |||||||
\(522\) | −7.90198 | − | 4.31481i | −0.345860 | − | 0.188854i | ||||
\(523\) | 9.75017 | − | 7.29888i | 0.426345 | − | 0.319158i | −0.364468 | − | 0.931216i | \(-0.618749\pi\) |
0.790813 | + | 0.612058i | \(0.209658\pi\) | |||||||
\(524\) | −0.642814 | + | 0.293563i | −0.0280814 | + | 0.0128244i | ||||
\(525\) | 14.8850 | − | 1.05692i | 0.649634 | − | 0.0461278i | ||||
\(526\) | 16.5968 | + | 25.8251i | 0.723654 | + | 1.12603i | ||||
\(527\) | 2.07288 | + | 28.9826i | 0.0902960 | + | 1.26250i | ||||
\(528\) | −1.77104 | − | 1.77104i | −0.0770748 | − | 0.0770748i | ||||
\(529\) | 22.9187 | − | 1.93274i | 0.996463 | − | 0.0840321i | ||||
\(530\) | 1.13989 | − | 31.6884i | 0.0495138 | − | 1.37646i | ||||
\(531\) | 3.18960 | − | 3.68100i | 0.138417 | − | 0.159742i | ||||
\(532\) | 20.5511 | + | 4.47063i | 0.891005 | + | 0.193826i | ||||
\(533\) | 2.23453 | + | 1.67275i | 0.0967883 | + | 0.0724548i | ||||
\(534\) | 4.31547 | + | 9.44957i | 0.186749 | + | 0.408923i | ||||
\(535\) | −8.02832 | − | 11.5693i | −0.347094 | − | 0.500185i | ||||
\(536\) | 4.39930 | + | 14.9827i | 0.190021 | + | 0.647152i | ||||
\(537\) | 1.58292 | + | 7.27657i | 0.0683081 | + | 0.314007i | ||||
\(538\) | −7.39830 | − | 19.8356i | −0.318963 | − | 0.855174i | ||||
\(539\) | −4.58335 | − | 1.34579i | −0.197419 | − | 0.0579674i | ||||
\(540\) | −2.22319 | − | 0.239595i | −0.0956711 | − | 0.0103105i | ||||
\(541\) | 17.9514 | + | 20.7170i | 0.771791 | + | 0.890694i | 0.996488 | − | 0.0837346i | \(-0.0266848\pi\) |
−0.224697 | + | 0.974429i | \(0.572139\pi\) | |||||||
\(542\) | −4.79448 | − | 8.78044i | −0.205941 | − | 0.377152i | ||||
\(543\) | −22.5213 | + | 8.40002i | −0.966483 | + | 0.360480i | ||||
\(544\) | −5.32976 | − | 3.42523i | −0.228511 | − | 0.146855i | ||||
\(545\) | −40.6513 | + | 10.3645i | −1.74131 | + | 0.443968i | ||||
\(546\) | 1.66068 | + | 0.238769i | 0.0710704 | + | 0.0102184i | ||||
\(547\) | 8.30725 | − | 22.2726i | 0.355192 | − | 0.952307i | −0.629344 | − | 0.777127i | \(-0.716676\pi\) |
0.984536 | − | 0.175181i | \(-0.0560509\pi\) | |||||||
\(548\) | −1.32054 | + | 1.76404i | −0.0564109 | + | 0.0753561i | ||||
\(549\) | −2.52979 | + | 1.62580i | −0.107969 | + | 0.0693873i | ||||
\(550\) | −0.00642448 | + | 12.5232i | −0.000273941 | + | 0.533990i | ||||
\(551\) | 63.4462i | 2.70290i | ||||||||
\(552\) | −0.201680 | − | 4.79159i | −0.00858408 | − | 0.203944i | ||||
\(553\) | −1.10816 | + | 1.10816i | −0.0471238 | + | 0.0471238i | ||||
\(554\) | −1.40598 | − | 1.21829i | −0.0597345 | − | 0.0517602i | ||||
\(555\) | 4.91230 | + | 8.28408i | 0.208516 | + | 0.351640i | ||||
\(556\) | −0.918293 | − | 6.38687i | −0.0389443 | − | 0.270864i | ||||
\(557\) | −11.8788 | − | 4.43056i | −0.503320 | − | 0.187729i | 0.0849623 | − | 0.996384i | \(-0.472923\pi\) |
−0.588283 | + | 0.808655i | \(0.700196\pi\) | |||||||
\(558\) | 2.74848 | + | 3.67154i | 0.116353 | + | 0.155429i | ||||
\(559\) | −0.278815 | + | 0.0818674i | −0.0117926 | + | 0.00346262i | ||||
\(560\) | 6.56780 | − | 1.18322i | 0.277540 | − | 0.0500003i | ||||
\(561\) | −6.59185 | + | 14.4341i | −0.278308 | + | 0.609410i | ||||
\(562\) | 7.51506 | − | 4.10353i | 0.317004 | − | 0.173097i | ||||
\(563\) | −0.0690051 | + | 0.964818i | −0.00290822 | + | 0.0406622i | −0.998699 | − | 0.0509933i | \(-0.983761\pi\) |
0.995791 | + | 0.0916555i | \(0.0292158\pi\) | |||||||
\(564\) | −3.28764 | + | 2.84876i | −0.138435 | + | 0.119954i | ||||
\(565\) | 20.4017 | + | 40.7836i | 0.858306 | + | 1.71578i | ||||
\(566\) | 20.5025 | + | 9.36318i | 0.861784 | + | 0.393564i | ||||
\(567\) | 2.91629 | − | 0.634400i | 0.122473 | − | 0.0266423i | ||||
\(568\) | −4.93317 | + | 9.03442i | −0.206991 | + | 0.379076i | ||||
\(569\) | −2.15974 | + | 15.0213i | −0.0905410 | + | 0.629726i | 0.893136 | + | 0.449786i | \(0.148500\pi\) |
−0.983677 | + | 0.179941i | \(0.942409\pi\) | |||||||
\(570\) | 6.02644 | + | 14.5597i | 0.252420 | + | 0.609838i | ||||
\(571\) | 24.3183 | − | 3.49644i | 1.01769 | − | 0.146322i | 0.386775 | − | 0.922174i | \(-0.373589\pi\) |
0.630914 | + | 0.775853i | \(0.282680\pi\) | |||||||
\(572\) | −0.299292 | + | 1.37582i | −0.0125140 | + | 0.0575260i | ||||
\(573\) | −4.88951 | + | 0.349705i | −0.204262 | + | 0.0146091i | ||||
\(574\) | −14.8189 | −0.618529 | ||||||||
\(575\) | −16.2368 | + | 17.6455i | −0.677123 | + | 0.735870i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −19.3832 | + | 1.38631i | −0.806934 | + | 0.0577130i | −0.468709 | − | 0.883352i | \(-0.655281\pi\) |
−0.338224 | + | 0.941065i | \(0.609826\pi\) | |||||||
\(578\) | −4.91844 | + | 22.6097i | −0.204580 | + | 0.940440i | ||||
\(579\) | −12.9032 | + | 1.85520i | −0.536239 | + | 0.0770995i | ||||
\(580\) | 7.69938 | + | 18.6014i | 0.319699 | + | 0.772383i | ||||
\(581\) | 1.24274 | − | 8.64344i | 0.0515575 | − | 0.358591i | ||||
\(582\) | −2.57029 | + | 4.70714i | −0.106542 | + | 0.195117i | ||||
\(583\) | −34.7057 | + | 7.54975i | −1.43736 | + | 0.312679i | ||||
\(584\) | −9.58490 | − | 4.37728i | −0.396626 | − | 0.181133i | ||||
\(585\) | 0.562376 | + | 1.12420i | 0.0232514 | + | 0.0464801i | ||||
\(586\) | −16.4496 | + | 14.2536i | −0.679525 | + | 0.588812i | ||||
\(587\) | 1.63130 | − | 22.8085i | 0.0673308 | − | 0.941408i | −0.845737 | − | 0.533600i | \(-0.820839\pi\) |
0.913068 | − | 0.407808i | \(-0.133707\pi\) | |||||||
\(588\) | −1.67391 | + | 0.914024i | −0.0690309 | + | 0.0376937i | ||||
\(589\) | 13.4262 | − | 29.3992i | 0.553216 | − | 1.21137i | ||||
\(590\) | −10.7186 | + | 1.93101i | −0.441277 | + | 0.0794982i | ||||
\(591\) | −19.3622 | + | 5.68525i | −0.796454 | + | 0.233860i | ||||
\(592\) | 2.58117 | + | 3.44803i | 0.106085 | + | 0.141713i | ||||
\(593\) | −17.4713 | − | 6.51645i | −0.717459 | − | 0.267598i | −0.0358936 | − | 0.999356i | \(-0.511428\pi\) |
−0.681565 | + | 0.731757i | \(0.738700\pi\) | |||||||
\(594\) | 0.356447 | + | 2.47914i | 0.0146252 | + | 0.101720i | ||||
\(595\) | −21.5650 | − | 36.3670i | −0.884077 | − | 1.49090i | ||||
\(596\) | 9.62894 | + | 8.34352i | 0.394417 | + | 0.341764i | ||||
\(597\) | −3.97982 | + | 3.97982i | −0.162883 | + | 0.162883i | ||||
\(598\) | −2.20473 | + | 1.55166i | −0.0901580 | + | 0.0634522i | ||||
\(599\) | 32.1140i | 1.31214i | 0.754699 | + | 0.656072i | \(0.227783\pi\) | ||||
−0.754699 | + | 0.656072i | \(0.772217\pi\) | |||||||
\(600\) | 3.53372 | + | 3.53735i | 0.144264 | + | 0.144412i | ||||
\(601\) | −13.7684 | + | 8.84844i | −0.561627 | + | 0.360935i | −0.790444 | − | 0.612534i | \(-0.790150\pi\) |
0.228818 | + | 0.973469i | \(0.426514\pi\) | |||||||
\(602\) | 0.924518 | − | 1.23501i | 0.0376805 | − | 0.0503353i | ||||
\(603\) | 5.45695 | − | 14.6306i | 0.222224 | − | 0.595806i | ||||
\(604\) | −3.36286 | − | 0.483506i | −0.136833 | − | 0.0196736i | ||||
\(605\) | −10.2418 | + | 2.61127i | −0.416389 | + | 0.106163i | ||||
\(606\) | 0.227043 | + | 0.145912i | 0.00922300 | + | 0.00592726i | ||||
\(607\) | −16.0318 | + | 5.97957i | −0.650713 | + | 0.242703i | −0.653074 | − | 0.757294i | \(-0.726521\pi\) |
0.00236158 | + | 0.999997i | \(0.499248\pi\) | |||||||
\(608\) | 3.37728 | + | 6.18502i | 0.136967 | + | 0.250836i | ||||
\(609\) | −17.5962 | − | 20.3071i | −0.713036 | − | 0.822887i | ||||
\(610\) | 6.68551 | + | 0.720502i | 0.270688 | + | 0.0291723i | ||||
\(611\) | 2.34642 | + | 0.688971i | 0.0949260 | + | 0.0278728i | ||||
\(612\) | 2.21403 | + | 5.93604i | 0.0894968 | + | 0.239950i | ||||
\(613\) | −7.57271 | − | 34.8112i | −0.305859 | − | 1.40601i | −0.831604 | − | 0.555369i | \(-0.812577\pi\) |
0.525745 | − | 0.850642i | \(-0.323786\pi\) | |||||||
\(614\) | 2.67125 | + | 9.09745i | 0.107803 | + | 0.367143i | ||||
\(615\) | −6.32980 | − | 9.12164i | −0.255242 | − | 0.367820i | ||||
\(616\) | −3.10526 | − | 6.79956i | −0.125114 | − | 0.273962i | ||||
\(617\) | −31.7943 | − | 23.8009i | −1.27999 | − | 0.958188i | −0.279990 | − | 0.960003i | \(-0.590331\pi\) |
−0.999998 | + | 0.00181517i | \(0.999422\pi\) | |||||||
\(618\) | 1.29955 | + | 0.282700i | 0.0522755 | + | 0.0113718i | ||||
\(619\) | −17.1180 | + | 19.7553i | −0.688032 | + | 0.794031i | −0.987084 | − | 0.160206i | \(-0.948784\pi\) |
0.299052 | + | 0.954237i | \(0.403330\pi\) | |||||||
\(620\) | 0.368666 | − | 10.2487i | 0.0148060 | − | 0.411598i | ||||
\(621\) | −2.71004 | + | 3.95673i | −0.108750 | + | 0.158778i | ||||
\(622\) | 17.5644 | + | 17.5644i | 0.704267 | + | 0.704267i | ||||
\(623\) | 2.21180 | + | 30.9249i | 0.0886137 | + | 1.23898i | ||||
\(624\) | 0.303925 | + | 0.472917i | 0.0121667 | + | 0.0189318i | ||||
\(625\) | 0.0256504 | − | 25.0000i | 0.00102601 | − | 0.999999i | ||||
\(626\) | 21.2995 | − | 9.72715i | 0.851299 | − | 0.388775i | ||||
\(627\) | 14.1297 | − | 10.5774i | 0.564287 | − | 0.422420i | ||||
\(628\) | 20.4527 | + | 11.1680i | 0.816150 | + | 0.445652i | ||||
\(629\) | 14.7529 | − | 22.9559i | 0.588236 | − | 0.915313i | ||||
\(630\) | −5.96687 | − | 2.98872i | −0.237726 | − | 0.119073i | ||||
\(631\) | −4.20137 | + | 14.3086i | −0.167254 | + | 0.569615i | 0.832622 | + | 0.553842i | \(0.186839\pi\) |
−0.999876 | + | 0.0157725i | \(0.994979\pi\) | |||||||
\(632\) | −0.523769 | − | 0.0374607i | −0.0208344 | − | 0.00149011i | ||||
\(633\) | −8.30263 | − | 0.593816i | −0.330000 | − | 0.0236021i | ||||
\(634\) | 6.65325 | − | 22.6589i | 0.264234 | − | 0.899900i | ||||
\(635\) | −11.0501 | + | 3.67467i | −0.438509 | + | 0.145825i | ||||
\(636\) | −7.66663 | + | 11.9295i | −0.304002 | + | 0.473036i | ||||
\(637\) | 0.941001 | + | 0.513825i | 0.0372838 | + | 0.0203585i | ||||
\(638\) | 18.0521 | − | 13.5137i | 0.714691 | − | 0.535011i | ||||
\(639\) | 9.36333 | − | 4.27609i | 0.370408 | − | 0.169159i | ||||
\(640\) | 1.74074 | + | 1.40351i | 0.0688086 | + | 0.0554786i | ||||
\(641\) | −6.33013 | − | 9.84987i | −0.250025 | − | 0.389046i | 0.693442 | − | 0.720512i | \(-0.256093\pi\) |
−0.943467 | + | 0.331466i | \(0.892457\pi\) | |||||||
\(642\) | 0.449270 | + | 6.28162i | 0.0177313 | + | 0.247916i | ||||
\(643\) | −23.7953 | − | 23.7953i | −0.938394 | − | 0.938394i | 0.0598151 | − | 0.998209i | \(-0.480949\pi\) |
−0.998209 | + | 0.0598151i | \(0.980949\pi\) | |||||||
\(644\) | 4.43354 | − | 13.6092i | 0.174706 | − | 0.536276i | ||||
\(645\) | 1.15510 | + | 0.0415513i | 0.0454821 | + | 0.00163608i | ||||
\(646\) | 29.2371 | − | 33.7415i | 1.15032 | − | 1.32754i | ||||
\(647\) | −34.3387 | − | 7.46993i | −1.34999 | − | 0.293673i | −0.521300 | − | 0.853374i | \(-0.674553\pi\) |
−0.828695 | + | 0.559700i | \(0.810916\pi\) | |||||||
\(648\) | 0.800541 | + | 0.599278i | 0.0314482 | + | 0.0235419i | ||||
\(649\) | 5.06774 | + | 11.0968i | 0.198926 | + | 0.435588i | ||||
\(650\) | 0.598884 | − | 2.74624i | 0.0234902 | − | 0.107717i | ||||
\(651\) | 3.85632 | + | 13.1334i | 0.151141 | + | 0.514739i | ||||
\(652\) | −0.335680 | − | 1.54310i | −0.0131462 | − | 0.0604323i | ||||
\(653\) | −13.5064 | − | 36.2120i | −0.528545 | − | 1.41708i | −0.877333 | − | 0.479882i | \(-0.840679\pi\) |
0.348788 | − | 0.937202i | \(-0.386593\pi\) | |||||||
\(654\) | 18.0015 | + | 5.28570i | 0.703912 | + | 0.206687i | ||||
\(655\) | −0.991193 | − | 1.23064i | −0.0387291 | − | 0.0480851i | ||||
\(656\) | −3.25158 | − | 3.75252i | −0.126953 | − | 0.146511i | ||||
\(657\) | 5.04990 | + | 9.24820i | 0.197015 | + | 0.360807i | ||||
\(658\) | −12.1645 | + | 4.53711i | −0.474221 | + | 0.176875i | ||||
\(659\) | 40.9327 | + | 26.3058i | 1.59451 | + | 1.02473i | 0.969809 | + | 0.243866i | \(0.0784155\pi\) |
0.624701 | + | 0.780864i | \(0.285221\pi\) | |||||||
\(660\) | 2.85902 | − | 4.81581i | 0.111287 | − | 0.187455i | ||||
\(661\) | −32.1731 | − | 4.62580i | −1.25139 | − | 0.179923i | −0.515420 | − | 0.856938i | \(-0.672364\pi\) |
−0.735969 | + | 0.677015i | \(0.763273\pi\) | |||||||
\(662\) | −8.17116 | + | 21.9077i | −0.317581 | + | 0.851468i | ||||
\(663\) | 2.13435 | − | 2.85116i | 0.0828914 | − | 0.110730i | ||||
\(664\) | 2.46142 | − | 1.58186i | 0.0955217 | − | 0.0613881i | ||||
\(665\) | 1.66650 | + | 46.9990i | 0.0646242 | + | 1.82254i | ||||
\(666\) | − | 4.30713i | − | 0.166898i | ||||||
\(667\) | 42.9593 | + | 4.34216i | 1.66339 | + | 0.168129i | ||||
\(668\) | 8.59700 | − | 8.59700i | 0.332628 | − | 0.332628i | ||||
\(669\) | 7.95275 | + | 6.89109i | 0.307471 | + | 0.266425i | ||||
\(670\) | −30.0333 | + | 17.8092i | −1.16029 | + | 0.688029i | ||||
\(671\) | −1.07189 | − | 7.45519i | −0.0413800 | − | 0.287804i | ||||
\(672\) | −2.79632 | − | 1.04297i | −0.107870 | − | 0.0402336i | ||||
\(673\) | 14.6978 | + | 19.6339i | 0.566557 | + | 0.756831i | 0.988734 | − | 0.149682i | \(-0.0478250\pi\) |
−0.422177 | + | 0.906513i | \(0.638734\pi\) | |||||||
\(674\) | 21.8685 | − | 6.42117i | 0.842343 | − | 0.247334i | ||||
\(675\) | −0.709035 | − | 4.94947i | −0.0272908 | − | 0.190505i | ||||
\(676\) | −5.26912 | + | 11.5378i | −0.202658 | + | 0.443760i | ||||
\(677\) | −41.7690 | + | 22.8076i | −1.60531 | + | 0.876566i | −0.608781 | + | 0.793338i | \(0.708341\pi\) |
−0.996531 | + | 0.0832281i | \(0.973477\pi\) | |||||||
\(678\) | 1.45487 | − | 20.3418i | 0.0558741 | − | 0.781222i | ||||
\(679\) | −12.0968 | + | 10.4819i | −0.464232 | + | 0.402260i | ||||
\(680\) | 4.47725 | − | 13.4405i | 0.171695 | − | 0.515419i | ||||
\(681\) | −16.8045 | − | 7.67437i | −0.643951 | − | 0.294082i | ||||
\(682\) | −11.2246 | + | 2.44175i | −0.429811 | + | 0.0934996i | ||||
\(683\) | −14.9361 | + | 27.3534i | −0.571514 | + | 1.04665i | 0.418836 | + | 0.908062i | \(0.362438\pi\) |
−0.990350 | + | 0.138588i | \(0.955744\pi\) | |||||||
\(684\) | 1.00290 | − | 6.97529i | 0.0383467 | − | 0.266707i | ||||
\(685\) | −4.55176 | − | 1.88677i | −0.173914 | − | 0.0720897i | ||||
\(686\) | 15.0447 | − | 2.16310i | 0.574410 | − | 0.0825877i | ||||
\(687\) | 0.626751 | − | 2.88113i | 0.0239120 | − | 0.109922i | ||||
\(688\) | 0.515595 | − | 0.0368761i | 0.0196569 | − | 0.00140589i | ||||
\(689\) | 7.97175 | 0.303699 | ||||||||
\(690\) | 10.2708 | − | 3.08405i | 0.391001 | − | 0.117408i | ||||
\(691\) | 30.6797 | 1.16711 | 0.583556 | − | 0.812073i | \(-0.301661\pi\) | ||||
0.583556 | + | 0.812073i | \(0.301661\pi\) | |||||||
\(692\) | −15.1698 | + | 1.08497i | −0.576669 | + | 0.0412442i | ||||
\(693\) | −1.58894 | + | 7.30424i | −0.0603588 | + | 0.277465i | ||||
\(694\) | 12.7019 | − | 1.82625i | 0.482157 | − | 0.0693237i | ||||
\(695\) | 13.3315 | − | 5.51806i | 0.505691 | − | 0.209312i | ||||
\(696\) | 1.28130 | − | 8.91163i | 0.0485675 | − | 0.337794i | ||||
\(697\) | −15.0760 | + | 27.6097i | −0.571045 | + | 1.04579i | ||||
\(698\) | 7.51603 | − | 1.63501i | 0.284486 | − | 0.0618861i | ||||
\(699\) | −19.2529 | − | 8.79253i | −0.728213 | − | 0.332564i | ||||
\(700\) | 6.19205 | + | 13.5771i | 0.234038 | + | 0.513167i | ||||
\(701\) | 0.528675 | − | 0.458100i | 0.0199678 | − | 0.0173022i | −0.644820 | − | 0.764335i | \(-0.723068\pi\) |
0.664787 | + | 0.747033i | \(0.268522\pi\) | |||||||
\(702\) | 0.0401038 | − | 0.560725i | 0.00151362 | − | 0.0211632i | ||||
\(703\) | −26.6397 | + | 14.5464i | −1.00473 | + | 0.548626i | ||||
\(704\) | 1.04046 | − | 2.27830i | 0.0392139 | − | 0.0858665i | ||||
\(705\) | −7.98877 | − | 5.54974i | −0.300874 | − | 0.209015i | ||||
\(706\) | 7.68321 | − | 2.25599i | 0.289161 | − | 0.0849055i | ||||
\(707\) | 0.482704 | + | 0.644817i | 0.0181539 | + | 0.0242508i | ||||
\(708\) | 4.56356 | + | 1.70212i | 0.171509 | + | 0.0639696i | ||||
\(709\) | −4.44269 | − | 30.8996i | −0.166849 | − | 1.16046i | −0.885347 | − | 0.464930i | \(-0.846079\pi\) |
0.718499 | − | 0.695528i | \(-0.244830\pi\) | |||||||
\(710\) | −22.3006 | − | 5.69798i | −0.836927 | − | 0.213842i | ||||
\(711\) | 0.396849 | + | 0.343872i | 0.0148830 | + | 0.0128962i | ||||
\(712\) | −7.34567 | + | 7.34567i | −0.275290 | + | 0.275290i | ||||
\(713\) | −18.9873 | − | 11.1029i | −0.711079 | − | 0.415806i | ||||
\(714\) | 18.9082i | 0.707623i | ||||||||
\(715\) | −3.14640 | + | 0.111566i | −0.117669 | + | 0.00417233i | ||||
\(716\) | −6.26461 | + | 4.02602i | −0.234119 | + | 0.150459i | ||||
\(717\) | −17.0601 | + | 22.7896i | −0.637122 | + | 0.851095i | ||||
\(718\) | 2.07547 | − | 5.56456i | 0.0774559 | − | 0.207667i | ||||
\(719\) | 19.9233 | + | 2.86454i | 0.743015 | + | 0.106829i | 0.503418 | − | 0.864043i | \(-0.332076\pi\) |
0.239597 | + | 0.970872i | \(0.422985\pi\) | |||||||
\(720\) | −0.552438 | − | 2.16675i | −0.0205882 | − | 0.0807501i | ||||
\(721\) | 3.33911 | + | 2.14591i | 0.124355 | + | 0.0799180i | ||||
\(722\) | −28.7273 | + | 10.7147i | −1.06912 | + | 0.398761i | ||||
\(723\) | −1.95542 | − | 3.58109i | −0.0727230 | − | 0.133182i | ||||
\(724\) | −15.7408 | − | 18.1659i | −0.585002 | − | 0.675129i | ||||
\(725\) | −36.0513 | + | 26.9588i | −1.33891 | + | 1.00122i | ||||
\(726\) | 4.53533 | + | 1.33169i | 0.168322 | + | 0.0494238i | ||||
\(727\) | 10.8634 | + | 29.1260i | 0.402902 | + | 1.08022i | 0.967058 | + | 0.254555i | \(0.0819289\pi\) |
−0.564156 | + | 0.825668i | \(0.690798\pi\) | |||||||
\(728\) | 0.356632 | + | 1.63941i | 0.0132177 | + | 0.0607607i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | 4.18940 | − | 23.1863i | 0.155057 | − | 0.858162i | ||||
\(731\) | −1.36044 | − | 2.97895i | −0.0503177 | − | 0.110180i | ||||
\(732\) | −2.40736 | − | 1.80213i | −0.0889785 | − | 0.0666085i | ||||
\(733\) | −30.0254 | − | 6.53163i | −1.10901 | − | 0.241251i | −0.379483 | − | 0.925199i | \(-0.623898\pi\) |
−0.729532 | + | 0.683947i | \(0.760262\pi\) | |||||||
\(734\) | 14.3119 | − | 16.5168i | 0.528261 | − | 0.609646i | ||||
\(735\) | −2.90520 | − | 3.12201i | −0.107160 | − | 0.115157i | ||||
\(736\) | 4.41900 | − | 1.86345i | 0.162886 | − | 0.0686878i | ||||
\(737\) | 27.6552 | + | 27.6552i | 1.01869 | + | 1.01869i | ||||
\(738\) | 0.354220 | + | 4.95265i | 0.0130390 | + | 0.182309i | ||||
\(739\) | −8.74185 | − | 13.6026i | −0.321574 | − | 0.500379i | 0.642402 | − | 0.766368i | \(-0.277938\pi\) |
−0.963976 | + | 0.265989i | \(0.914302\pi\) | |||||||
\(740\) | −6.04510 | + | 7.49757i | −0.222222 | + | 0.275616i | ||||
\(741\) | −3.60354 | + | 1.64568i | −0.132379 | + | 0.0604556i | ||||
\(742\) | −33.8805 | + | 25.3627i | −1.24379 | + | 0.931092i | ||||
\(743\) | 16.5263 | + | 9.02406i | 0.606293 | + | 0.331061i | 0.752901 | − | 0.658134i | \(-0.228654\pi\) |
−0.146608 | + | 0.989195i | \(0.546836\pi\) | |||||||
\(744\) | −2.47955 | + | 3.85826i | −0.0909049 | + | 0.141451i | ||||
\(745\) | −12.7589 | + | 25.4728i | −0.467451 | + | 0.933251i | ||||
\(746\) | −4.73070 | + | 16.1113i | −0.173203 | + | 0.589877i | ||||
\(747\) | −2.91844 | − | 0.208731i | −0.106780 | − | 0.00763708i | ||||
\(748\) | −15.8277 | − | 1.13202i | −0.578717 | − | 0.0413907i | ||||
\(749\) | −5.29526 | + | 18.0340i | −0.193484 | + | 0.658948i | ||||
\(750\) | −5.71239 | + | 9.61086i | −0.208587 | + | 0.350939i | ||||
\(751\) | −1.10765 | + | 1.72354i | −0.0404188 | + | 0.0628930i | −0.860875 | − | 0.508816i | \(-0.830083\pi\) |
0.820456 | + | 0.571709i | \(0.193720\pi\) | |||||||
\(752\) | −3.81805 | − | 2.08482i | −0.139230 | − | 0.0760254i | ||||
\(753\) | 11.2218 | − | 8.40052i | 0.408944 | − | 0.306132i | ||||
\(754\) | −4.60388 | + | 2.10252i | −0.167663 | + | 0.0765693i | ||||
\(755\) | −0.810134 | − | 7.55358i | −0.0294838 | − | 0.274903i | ||||
\(756\) | 1.61354 | + | 2.51072i | 0.0586838 | + | 0.0913138i | ||||
\(757\) | 3.56413 | + | 49.8330i | 0.129540 | + | 1.81121i | 0.482849 | + | 0.875704i | \(0.339602\pi\) |
−0.353309 | + | 0.935507i | \(0.614943\pi\) | |||||||
\(758\) | 0.0714531 | + | 0.0714531i | 0.00259529 | + | 0.00259529i | ||||
\(759\) | −6.19490 | − | 10.2911i | −0.224861 | − | 0.373543i | ||||
\(760\) | −11.5357 | + | 10.7346i | −0.418443 | + | 0.389384i | ||||
\(761\) | 27.9059 | − | 32.2052i | 1.01159 | − | 1.16744i | 0.0257632 | − | 0.999668i | \(-0.491798\pi\) |
0.985826 | − | 0.167769i | \(-0.0536561\pi\) | |||||||
\(762\) | 5.08882 | + | 1.10700i | 0.184348 | + | 0.0401025i | ||||
\(763\) | 44.8250 | + | 33.5556i | 1.62277 | + | 1.21479i | ||||
\(764\) | −2.03637 | − | 4.45902i | −0.0736731 | − | 0.161322i | ||||
\(765\) | −11.6388 | + | 8.07655i | −0.420802 | + | 0.292008i | ||||
\(766\) | −2.62198 | − | 8.92966i | −0.0947362 | − | 0.322642i | ||||
\(767\) | −0.582020 | − | 2.67550i | −0.0210155 | − | 0.0966068i | ||||
\(768\) | −0.349464 | − | 0.936950i | −0.0126102 | − | 0.0338093i | ||||
\(769\) | 6.11550 | + | 1.79567i | 0.220531 | + | 0.0647537i | 0.390131 | − | 0.920759i | \(-0.372430\pi\) |
−0.169601 | + | 0.985513i | \(0.554248\pi\) | |||||||
\(770\) | 13.0175 | − | 10.4847i | 0.469118 | − | 0.377841i | ||||
\(771\) | −12.4291 | − | 14.3439i | −0.447623 | − | 0.516585i | ||||
\(772\) | −6.24743 | − | 11.4413i | −0.224850 | − | 0.411782i | ||||
\(773\) | 8.81084 | − | 3.28627i | 0.316904 | − | 0.118199i | −0.185979 | − | 0.982554i | \(-0.559546\pi\) |
0.502883 | + | 0.864355i | \(0.332273\pi\) | |||||||
\(774\) | −0.434854 | − | 0.279464i | −0.0156305 | − | 0.0100451i | ||||
\(775\) | 22.4101 | − | 4.86297i | 0.804993 | − | 0.174683i | ||||
\(776\) | −5.30858 | − | 0.763259i | −0.190567 | − | 0.0273994i | ||||
\(777\) | 4.49222 | − | 12.0441i | 0.161157 | − | 0.432080i | ||||
\(778\) | 2.47328 | − | 3.30391i | 0.0886714 | − | 0.118451i | ||||
\(779\) | 29.4359 | − | 18.9173i | 1.05465 | − | 0.677783i | ||||
\(780\) | −0.856793 | + | 0.919787i | −0.0306781 | + | 0.0329337i | ||||
\(781\) | 25.7815i | 0.922536i | ||||||||
\(782\) | −20.8453 | − | 22.1056i | −0.745427 | − | 0.790495i | ||||
\(783\) | −6.36627 | + | 6.36627i | −0.227512 | + | 0.227512i | ||||
\(784\) | −1.44137 | − | 1.24895i | −0.0514774 | − | 0.0446054i | ||||
\(785\) | −12.8994 | + | 50.4855i | −0.460401 | + | 1.80190i | ||||
\(786\) | 0.100570 | + | 0.699481i | 0.00358722 | + | 0.0249497i | ||||
\(787\) | −50.0505 | − | 18.6679i | −1.78411 | − | 0.665437i | −0.998934 | − | 0.0461601i | \(-0.985302\pi\) |
−0.785172 | − | 0.619277i | \(-0.787426\pi\) | |||||||
\(788\) | −12.0932 | − | 16.1546i | −0.430802 | − | 0.575484i | ||||
\(789\) | 29.4549 | − | 8.64873i | 1.04862 | − | 0.307903i | ||||
\(790\) | −0.208182 | − | 1.15557i | −0.00740679 | − | 0.0411134i | ||||
\(791\) | 25.2843 | − | 55.3648i | 0.899005 | − | 1.96855i | ||||
\(792\) | −2.19827 | + | 1.20034i | −0.0781120 | + | 0.0426524i | ||||
\(793\) | −0.120599 | + | 1.68619i | −0.00428259 | + | 0.0598784i | ||||
\(794\) | −1.91922 | + | 1.66301i | −0.0681105 | + | 0.0590181i | ||||
\(795\) | −30.0836 | − | 10.0214i | −1.06696 | − | 0.355421i | ||||
\(796\) | −5.11969 | − | 2.33808i | −0.181463 | − | 0.0828712i | ||||
\(797\) | 9.03096 | − | 1.96456i | 0.319893 | − | 0.0695885i | −0.0497518 | − | 0.998762i | \(-0.515843\pi\) |
0.369645 | + | 0.929173i | \(0.379479\pi\) | |||||||
\(798\) | 10.0795 | − | 18.4592i | 0.356809 | − | 0.653447i | ||||
\(799\) | −3.92227 | + | 27.2800i | −0.138760 | + | 0.965096i | ||||
\(800\) | −2.07941 | + | 4.54709i | −0.0735182 | + | 0.160764i | ||||
\(801\) | 10.2826 | − | 1.47841i | 0.363318 | − | 0.0522372i | ||||
\(802\) | 1.63996 | − | 7.53878i | 0.0579090 | − | 0.266203i | ||||
\(803\) | −26.3244 | + | 1.88276i | −0.928967 | + | 0.0664411i | ||||
\(804\) | 15.6152 | 0.550705 | ||||||||
\(805\) | 31.9369 | + | 2.08815i | 1.12563 | + | 0.0735976i | ||||
\(806\) | 2.57824 | 0.0908145 | ||||||||
\(807\) | −21.1165 | + | 1.51028i | −0.743335 | + | 0.0531644i | ||||
\(808\) | −0.0573686 | + | 0.263719i | −0.00201822 | + | 0.00927761i | ||||
\(809\) | −25.5354 | + | 3.67144i | −0.897778 | + | 0.129081i | −0.575728 | − | 0.817642i | \(-0.695281\pi\) |
−0.322050 | + | 0.946723i | \(0.604372\pi\) | |||||||
\(810\) | −0.856236 | + | 2.06564i | −0.0300851 | + | 0.0725791i | ||||
\(811\) | 1.10270 | − | 7.66943i | 0.0387209 | − | 0.269310i | −0.961259 | − | 0.275647i | \(-0.911108\pi\) |
0.999980 | + | 0.00633682i | \(0.00201709\pi\) | |||||||
\(812\) | 12.8775 | − | 23.5834i | 0.451912 | − | 0.827616i | ||||
\(813\) | −9.77553 | + | 2.12654i | −0.342843 | + | 0.0745809i | ||||
\(814\) | 9.81291 | + | 4.48141i | 0.343942 | + | 0.157073i | ||||
\(815\) | 3.15806 | − | 1.57980i | 0.110622 | − | 0.0553380i | ||||
\(816\) | −4.78805 | + | 4.14887i | −0.167615 | + | 0.145239i | ||||
\(817\) | −0.259866 | + | 3.63341i | −0.00909157 | + | 0.127117i | ||||
\(818\) | 9.70206 | − | 5.29773i | 0.339225 | − | 0.185231i | ||||
\(819\) | 0.696964 | − | 1.52614i | 0.0243539 | − | 0.0533276i | ||||
\(820\) | 6.33448 | − | 9.11840i | 0.221210 | − | 0.318428i | ||||
\(821\) | −12.0086 | + | 3.52603i | −0.419102 | + | 0.123059i | −0.484483 | − | 0.874801i | \(-0.660992\pi\) |
0.0653805 | + | 0.997860i | \(0.479174\pi\) | |||||||
\(822\) | 1.32054 | + | 1.76404i | 0.0460593 | + | 0.0615280i | ||||
\(823\) | −13.3148 | − | 4.96616i | −0.464124 | − | 0.173109i | 0.106514 | − | 0.994311i | \(-0.466031\pi\) |
−0.570638 | + | 0.821202i | \(0.693304\pi\) | |||||||
\(824\) | 0.189271 | + | 1.31641i | 0.00659355 | + | 0.0458592i | ||||
\(825\) | 12.0141 | + | 3.53435i | 0.418277 | + | 0.123050i | ||||
\(826\) | 10.9859 | + | 9.51936i | 0.382249 | + | 0.331221i | ||||
\(827\) | 14.0883 | − | 14.0883i | 0.489899 | − | 0.489899i | −0.418375 | − | 0.908274i | \(-0.637400\pi\) |
0.908274 | + | 0.418375i | \(0.137400\pi\) | |||||||
\(828\) | −4.65432 | − | 1.15644i | −0.161749 | − | 0.0401889i | ||||
\(829\) | − | 4.72510i | − | 0.164110i | −0.996628 | − | 0.0820548i | \(-0.973852\pi\) | ||
0.996628 | − | 0.0820548i | \(-0.0261483\pi\) | |||||||
\(830\) | 4.78728 | + | 4.45941i | 0.166169 | + | 0.154788i | ||||
\(831\) | −1.56505 | + | 1.00580i | −0.0542911 | + | 0.0348907i | ||||
\(832\) | −0.336888 | + | 0.450030i | −0.0116795 | + | 0.0156020i | ||||
\(833\) | −4.22260 | + | 11.3212i | −0.146304 | + | 0.392257i | ||||
\(834\) | −6.38687 | − | 0.918293i | −0.221159 | − | 0.0317979i | ||||
\(835\) | 23.3769 | + | 13.8783i | 0.808991 | + | 0.480277i | ||||
\(836\) | 14.8483 | + | 9.54243i | 0.513539 | + | 0.330032i | ||||
\(837\) | 4.29716 | − | 1.60276i | 0.148531 | − | 0.0553994i | ||||
\(838\) | −2.07055 | − | 3.79193i | −0.0715260 | − | 0.130990i | ||||
\(839\) | −17.3592 | − | 20.0336i | −0.599307 | − | 0.691638i | 0.372334 | − | 0.928099i | \(-0.378558\pi\) |
−0.971641 | + | 0.236461i | \(0.924012\pi\) | |||||||
\(840\) | 0.715070 | − | 6.63511i | 0.0246723 | − | 0.228933i | ||||
\(841\) | 49.9501 | + | 14.6667i | 1.72242 | + | 0.505748i | ||||
\(842\) | −2.44977 | − | 6.56808i | −0.0844246 | − | 0.226351i | ||||
\(843\) | −1.82007 | − | 8.36675i | −0.0626867 | − | 0.288166i | ||||
\(844\) | −2.34510 | − | 7.98667i | −0.0807216 | − | 0.274912i | ||||
\(845\) | −27.9103 | − | 5.04297i | −0.960144 | − | 0.173483i | ||||
\(846\) | 1.80713 | + | 3.95705i | 0.0621303 | + | 0.136046i | ||||
\(847\) | 11.2933 | + | 8.45408i | 0.388043 | + | 0.290485i | ||||
\(848\) | −13.8566 | − | 3.01431i | −0.475837 | − | 0.103512i | ||||
\(849\) | 14.7601 | − | 17.0341i | 0.506566 | − | 0.584609i | ||||
\(850\) | 31.5956 | + | 2.27605i | 1.08372 | + | 0.0780680i | ||||
\(851\) | 8.02613 | + | 19.0332i | 0.275132 | + | 0.652449i | ||||
\(852\) | 7.27863 | + | 7.27863i | 0.249362 | + | 0.249362i | ||||
\(853\) | 1.88641 | + | 26.3754i | 0.0645894 | + | 0.903077i | 0.921690 | + | 0.387928i | \(0.126809\pi\) |
−0.857100 | + | 0.515149i | \(0.827736\pi\) | |||||||
\(854\) | −4.85218 | − | 7.55013i | −0.166038 | − | 0.258360i | ||||
\(855\) | 15.6678 | − | 1.68039i | 0.535826 | − | 0.0574682i | ||||
\(856\) | −5.72855 | + | 2.61614i | −0.195798 | + | 0.0894179i | ||||
\(857\) | −26.8309 | + | 20.0853i | −0.916525 | + | 0.686102i | −0.949638 | − | 0.313350i | \(-0.898549\pi\) |
0.0331131 | + | 0.999452i | \(0.489458\pi\) | |||||||
\(858\) | 1.23577 | + | 0.674782i | 0.0421885 | + | 0.0230367i | ||||
\(859\) | 11.0001 | − | 17.1165i | 0.375320 | − | 0.584009i | −0.601289 | − | 0.799031i | \(-0.705346\pi\) |
0.976609 | + | 0.215022i | \(0.0689824\pi\) | |||||||
\(860\) | 0.364736 | + | 1.09679i | 0.0124374 | + | 0.0374004i | ||||
\(861\) | −4.17496 | + | 14.2186i | −0.142282 | + | 0.484569i | ||||
\(862\) | 28.6414 | + | 2.04848i | 0.975531 | + | 0.0697714i | ||||
\(863\) | −26.2350 | − | 1.87636i | −0.893049 | − | 0.0638722i | −0.382733 | − | 0.923859i | \(-0.625017\pi\) |
−0.510316 | + | 0.859987i | \(0.670472\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | −10.7312 | − | 32.2698i | −0.364873 | − | 1.09721i | ||||
\(866\) | −10.5540 | + | 16.4224i | −0.358640 | + | 0.558055i | ||||
\(867\) | 20.3082 | + | 11.0891i | 0.689702 | + | 0.376606i | ||||
\(868\) | −10.9577 | + | 8.20283i | −0.371928 | + | 0.278422i | ||||
\(869\) | −1.19635 | + | 0.546354i | −0.0405834 | + | 0.0185338i | ||||
\(870\) | 20.0171 | − | 2.14687i | 0.678644 | − | 0.0727857i | ||||
\(871\) | −4.74584 | − | 7.38468i | −0.160807 | − | 0.250220i | ||||
\(872\) | 1.33842 | + | 18.7136i | 0.0453248 | + | 0.633723i | ||||
\(873\) | 3.79234 | + | 3.79234i | 0.128351 | + | 0.128351i | ||||
\(874\) | 8.56633 | + | 32.6926i | 0.289761 | + | 1.10585i | ||||
\(875\) | −25.9975 | + | 20.9172i | −0.878877 | + | 0.707129i | ||||
\(876\) | −6.90034 | + | 7.96342i | −0.233141 | + | 0.269059i | ||||
\(877\) | −26.3211 | − | 5.72581i | −0.888801 | − | 0.193347i | −0.255090 | − | 0.966917i | \(-0.582105\pi\) |
−0.633710 | + | 0.773570i | \(0.718469\pi\) | |||||||
\(878\) | −20.8488 | − | 15.6072i | −0.703611 | − | 0.526717i | ||||
\(879\) | 9.04188 | + | 19.7990i | 0.304975 | + | 0.667802i | ||||
\(880\) | 5.51129 | + | 0.995807i | 0.185786 | + | 0.0335686i | ||||
\(881\) | −14.9471 | − | 50.9052i | −0.503581 | − | 1.71504i | −0.682241 | − | 0.731127i | \(-0.738995\pi\) |
0.178660 | − | 0.983911i | \(-0.442824\pi\) | |||||||
\(882\) | 0.405405 | + | 1.86362i | 0.0136507 | + | 0.0627512i | ||||
\(883\) | 1.66874 | + | 4.47406i | 0.0561575 | + | 0.150564i | 0.961999 | − | 0.273052i | \(-0.0880332\pi\) |
−0.905842 | + | 0.423616i | \(0.860760\pi\) | |||||||
\(884\) | 3.41728 | + | 1.00340i | 0.114935 | + | 0.0337481i | ||||
\(885\) | −1.16699 | + | 10.8284i | −0.0392278 | + | 0.363994i | ||||
\(886\) | −0.215397 | − | 0.248581i | −0.00723640 | − | 0.00835125i | ||||
\(887\) | 26.3051 | + | 48.1742i | 0.883239 | + | 1.61753i | 0.782528 | + | 0.622616i | \(0.213930\pi\) |
0.100711 | + | 0.994916i | \(0.467888\pi\) | |||||||
\(888\) | 4.03556 | − | 1.50519i | 0.135425 | − | 0.0505108i | ||||
\(889\) | 13.0754 | + | 8.40304i | 0.438534 | + | 0.281829i | ||||
\(890\) | −19.9743 | − | 11.8582i | −0.669539 | − | 0.397488i | ||||
\(891\) | 2.47914 | + | 0.356447i | 0.0830544 | + | 0.0119414i | ||||
\(892\) | −3.67741 | + | 9.85951i | −0.123129 | + | 0.330121i | ||||
\(893\) | 18.3713 | − | 24.5412i | 0.614772 | − | 0.821239i | ||||
\(894\) | 10.7183 | − | 6.88825i | 0.358475 | − | 0.230378i | ||||
\(895\) | −12.1842 | − | 11.3497i | −0.407273 | − | 0.379379i | ||||
\(896\) | − | 2.98449i | − | 0.0997049i | ||||||
\(897\) | 0.867666 | + | 2.55257i | 0.0289705 | + | 0.0852279i | ||||
\(898\) | 8.29691 | − | 8.29691i | 0.276872 | − | 0.276872i | ||||
\(899\) | −31.2064 | − | 27.0405i | −1.04079 | − | 0.901850i | ||||
\(900\) | 4.38962 | − | 2.39399i | 0.146321 | − | 0.0797998i | ||||
\(901\) | 12.7858 | + | 88.9269i | 0.425956 | + | 2.96259i | ||||
\(902\) | −11.6521 | − | 4.34603i | −0.387974 | − | 0.144707i | ||||
\(903\) | −0.924518 | − | 1.23501i | −0.0307660 | − | 0.0410986i | ||||
\(904\) | 19.5677 | − | 5.74559i | 0.650811 | − | 0.191095i | ||||
\(905\) | 30.6651 | − | 44.1419i | 1.01934 | − | 1.46733i | ||||
\(906\) | −1.41135 | + | 3.09042i | −0.0468888 | + | 0.102672i | ||||
\(907\) | 6.79154 | − | 3.70846i | 0.225510 | − | 0.123138i | −0.362523 | − | 0.931975i | \(-0.618085\pi\) |
0.588032 | + | 0.808837i | \(0.299903\pi\) | |||||||
\(908\) | 1.31792 | − | 18.4269i | 0.0437367 | − | 0.611518i | ||||
\(909\) | 0.203967 | − | 0.176738i | 0.00676516 | − | 0.00586204i | ||||
\(910\) | −3.35518 | + | 1.67841i | −0.111223 | + | 0.0556387i | ||||
\(911\) | 30.9612 | + | 14.1395i | 1.02579 | + | 0.468463i | 0.855978 | − | 0.517013i | \(-0.172956\pi\) |
0.169814 | + | 0.985476i | \(0.445683\pi\) | |||||||
\(912\) | 6.88597 | − | 1.49795i | 0.228017 | − | 0.0496021i | ||||
\(913\) | 3.51209 | − | 6.43190i | 0.116233 | − | 0.212865i | ||||
\(914\) | 2.77867 | − | 19.3261i | 0.0919104 | − | 0.639251i | ||||
\(915\) | 2.57484 | − | 6.21171i | 0.0851217 | − | 0.205353i | ||||
\(916\) | 2.91850 | − | 0.419617i | 0.0964299 | − | 0.0138645i | ||||
\(917\) | −0.448314 | + | 2.06087i | −0.0148046 | + | 0.0680558i | ||||
\(918\) | 6.31935 | − | 0.451969i | 0.208570 | − | 0.0149172i | ||||
\(919\) | −53.5065 | −1.76502 | −0.882509 | − | 0.470296i | \(-0.844147\pi\) | ||||
−0.882509 | + | 0.470296i | \(0.844147\pi\) | |||||||
\(920\) | 6.47886 | + | 8.54543i | 0.213602 | + | 0.281734i | ||||
\(921\) | 9.48151 | 0.312427 | ||||||||
\(922\) | 18.2459 | − | 1.30497i | 0.600896 | − | 0.0429769i | ||||
\(923\) | 1.23003 | − | 5.65434i | 0.0404868 | − | 0.186115i | ||||
\(924\) | −7.39898 | + | 1.06381i | −0.243409 | + | 0.0349969i | ||||
\(925\) | −19.5849 | − | 8.95627i | −0.643948 | − | 0.294480i | ||||
\(926\) | −0.491530 | + | 3.41867i | −0.0161527 | + | 0.112344i | ||||
\(927\) | 0.637373 | − | 1.16726i | 0.0209341 | − | 0.0383379i | ||||
\(928\) | 8.79752 | − | 1.91378i | 0.288793 | − | 0.0628230i | ||||
\(929\) | 29.1322 | + | 13.3042i | 0.955795 | + | 0.436497i | 0.831362 | − | 0.555731i | \(-0.187562\pi\) |
0.124433 | + | 0.992228i | \(0.460289\pi\) | |||||||
\(930\) | −9.72970 | − | 3.24113i | −0.319049 | − | 0.106281i | ||||
\(931\) | 10.1573 | − | 8.80139i | 0.332893 | − | 0.288454i | ||||
\(932\) | 1.50994 | − | 21.1117i | 0.0494597 | − | 0.691537i | ||||
\(933\) | 21.8013 | − | 11.9044i | 0.713744 | − | 0.389733i | ||||
\(934\) | −4.15137 | + | 9.09023i | −0.135837 | + | 0.297441i | ||||
\(935\) | −6.29101 | − | 34.9200i | −0.205738 | − | 1.14201i | ||||
\(936\) | 0.539386 | − | 0.158378i | 0.0176304 | − | 0.00517675i | ||||
\(937\) | 13.5742 | + | 18.1330i | 0.443451 | + | 0.592381i | 0.965457 | − | 0.260561i | \(-0.0839074\pi\) |
−0.522007 | + | 0.852941i | \(0.674816\pi\) | |||||||
\(938\) | 43.6650 | + | 16.2862i | 1.42571 | + | 0.531764i | ||||
\(939\) | −3.33237 | − | 23.1772i | −0.108748 | − | 0.756358i | ||||
\(940\) | 2.40804 | − | 9.42451i | 0.0785415 | − | 0.307393i | ||||
\(941\) | −34.1565 | − | 29.5968i | −1.11347 | − | 0.964827i | −0.113881 | − | 0.993494i | \(-0.536328\pi\) |
−0.999589 | + | 0.0286676i | \(0.990874\pi\) | |||||||
\(942\) | 16.4778 | − | 16.4778i | 0.536876 | − | 0.536876i | ||||
\(943\) | −10.7943 | − | 21.2257i | −0.351511 | − | 0.691202i | ||||
\(944\) | 4.87066i | 0.158527i | ||||||||
\(945\) | −4.54872 | + | 4.88315i | −0.147970 | + | 0.158849i | ||||
\(946\) | 1.08915 | − | 0.699954i | 0.0354113 | − | 0.0227575i | ||||
\(947\) | 27.1558 | − | 36.2759i | 0.882446 | − | 1.17881i | −0.100504 | − | 0.994937i | \(-0.532046\pi\) |
0.982950 | − | 0.183873i | \(-0.0588635\pi\) | |||||||
\(948\) | −0.183506 | + | 0.491999i | −0.00596000 | + | 0.0159794i | ||||
\(949\) | 5.86322 | + | 0.843004i | 0.190328 | + | 0.0273651i | ||||
\(950\) | −29.6319 | − | 19.0647i | −0.961385 | − | 0.618542i | ||||
\(951\) | −19.8666 | − | 12.7675i | −0.644219 | − | 0.414015i | ||||
\(952\) | −17.7161 | + | 6.60775i | −0.574181 | + | 0.214159i | ||||
\(953\) | 6.55275 | + | 12.0005i | 0.212264 | + | 0.388733i | 0.962019 | − | 0.272983i | \(-0.0880103\pi\) |
−0.749755 | + | 0.661716i | \(0.769828\pi\) | |||||||
\(954\) | 9.28635 | + | 10.7170i | 0.300657 | + | 0.346976i | ||||
\(955\) | 8.53662 | − | 6.87563i | 0.276239 | − | 0.222490i | ||||
\(956\) | −27.3146 | − | 8.02030i | −0.883419 | − | 0.259395i | ||||
\(957\) | −7.88039 | − | 21.1281i | −0.254737 | − | 0.682975i | ||||
\(958\) | 6.03724 | + | 27.7527i | 0.195054 | + | 0.896650i | ||||
\(959\) | 1.85282 | + | 6.31012i | 0.0598306 | + | 0.203764i | ||||
\(960\) | 1.83708 | − | 1.27481i | 0.0592915 | − | 0.0411443i | ||||
\(961\) | −4.13987 | − | 9.06504i | −0.133544 | − | 0.292421i | ||||
\(962\) | −1.93834 | − | 1.45102i | −0.0624945 | − | 0.0467828i | ||||
\(963\) | 6.15374 | + | 1.33866i | 0.198302 | + | 0.0431379i | ||||
\(964\) | 2.67195 | − | 3.08360i | 0.0860578 | − | 0.0993160i | ||||
\(965\) | 21.3392 | − | 19.8573i | 0.686932 | − | 0.639228i | ||||
\(966\) | −11.8088 | − | 8.08809i | −0.379943 | − | 0.260230i | ||||
\(967\) | −12.7522 | − | 12.7522i | −0.410083 | − | 0.410083i | 0.471684 | − | 0.881767i | \(-0.343646\pi\) |
−0.881767 | + | 0.471684i | \(0.843646\pi\) | |||||||
\(968\) | 0.337206 | + | 4.71476i | 0.0108382 | + | 0.151538i | ||||
\(969\) | −24.1376 | − | 37.5589i | −0.775413 | − | 1.20657i | ||||
\(970\) | −1.27887 | − | 11.9240i | −0.0410621 | − | 0.382858i | ||||
\(971\) | 53.4863 | − | 24.4264i | 1.71646 | − | 0.783880i | 0.720559 | − | 0.693393i | \(-0.243885\pi\) |
0.995898 | − | 0.0904861i | \(-0.0288421\pi\) | |||||||
\(972\) | 0.800541 | − | 0.599278i | 0.0256774 | − | 0.0192218i | ||||
\(973\) | −16.9020 | − | 9.22918i | −0.541852 | − | 0.295874i | ||||
\(974\) | 3.03240 | − | 4.71851i | 0.0971644 | − | 0.151191i | ||||
\(975\) | −2.46628 | − | 1.34833i | −0.0789840 | − | 0.0431812i | ||||
\(976\) | 0.847216 | − | 2.88535i | 0.0271187 | − | 0.0923579i | ||||
\(977\) | 19.1932 | + | 1.37273i | 0.614045 | + | 0.0439174i | 0.374898 | − | 0.927066i | \(-0.377678\pi\) |
0.239147 | + | 0.970983i | \(0.423132\pi\) | |||||||
\(978\) | −1.57516 | − | 0.112658i | −0.0503681 | − | 0.00360240i | ||||
\(979\) | −7.33040 | + | 24.9650i | −0.234281 | + | 0.797886i | ||||
\(980\) | 1.90990 | − | 3.81305i | 0.0610095 | − | 0.121803i | ||||
\(981\) | 10.1432 | − | 15.7831i | 0.323847 | − | 0.503916i | ||||
\(982\) | 16.3098 | + | 8.90580i | 0.520465 | + | 0.284196i | ||||
\(983\) | −49.5977 | + | 37.1283i | −1.58192 | + | 1.18421i | −0.698518 | + | 0.715592i | \(0.746157\pi\) |
−0.883401 | + | 0.468618i | \(0.844752\pi\) | |||||||
\(984\) | −4.51659 | + | 2.06266i | −0.143984 | + | 0.0657552i | ||||
\(985\) | 28.3223 | − | 35.1274i | 0.902423 | − | 1.11925i | ||||
\(986\) | −30.8382 | − | 47.9853i | −0.982090 | − | 1.52816i | ||||
\(987\) | 0.926201 | + | 12.9500i | 0.0294813 | + | 0.412202i | ||||
\(988\) | −2.80123 | − | 2.80123i | −0.0891189 | − | 0.0891189i | ||||
\(989\) | 2.44239 | + | 0.424619i | 0.0776634 | + | 0.0135021i | ||||
\(990\) | −3.81525 | − | 4.09998i | −0.121257 | − | 0.130306i | ||||
\(991\) | −7.58501 | + | 8.75357i | −0.240946 | + | 0.278066i | −0.863324 | − | 0.504651i | \(-0.831621\pi\) |
0.622378 | + | 0.782717i | \(0.286167\pi\) | |||||||
\(992\) | −4.48151 | − | 0.974894i | −0.142288 | − | 0.0309529i | ||||
\(993\) | 18.7182 | + | 14.0123i | 0.594005 | + | 0.444666i | ||||
\(994\) | 12.7620 | + | 27.9448i | 0.404785 | + | 0.886355i | ||||
\(995\) | 2.23773 | − | 12.3847i | 0.0709410 | − | 0.392623i | ||||
\(996\) | −0.824321 | − | 2.80738i | −0.0261196 | − | 0.0889552i | ||||
\(997\) | 1.25012 | + | 5.74670i | 0.0395916 | + | 0.182000i | 0.992696 | − | 0.120642i | \(-0.0384952\pi\) |
−0.953105 | + | 0.302641i | \(0.902132\pi\) | |||||||
\(998\) | −1.14458 | − | 3.06875i | −0.0362312 | − | 0.0971395i | ||||
\(999\) | −4.13266 | − | 1.21346i | −0.130752 | − | 0.0383921i |
(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.w.b.7.10 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.3 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.3 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.10 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.3 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.3 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.10 | yes | 240 | 115.33 | even | 44 | inner |