Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(362,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.s (of order \(6\), degree \(2\), not 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 374.4 | ||
Root | \(-1.04536 - 1.81062i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.374 |
Dual form | 441.2.s.b.362.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30778 | + | 0.755047i | 0.924740 | + | 0.533899i | 0.885144 | − | 0.465317i | \(-0.154060\pi\) |
0.0395961 | + | 0.999216i | \(0.487393\pi\) | |||||||
\(3\) | 0.919842 | − | 1.46761i | 0.531071 | − | 0.847327i | ||||
\(4\) | 0.140193 | + | 0.242822i | 0.0700966 | + | 0.121411i | ||||
\(5\) | 0.775876 | 0.346982 | 0.173491 | − | 0.984835i | \(-0.444495\pi\) | ||||
0.173491 | + | 0.984835i | \(0.444495\pi\) | |||||||
\(6\) | 2.31107 | − | 1.22479i | 0.943490 | − | 0.500019i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 2.59678i | − | 0.918100i | ||||||
\(9\) | −1.30778 | − | 2.69995i | −0.435927 | − | 0.899982i | ||||
\(10\) | 1.01468 | + | 0.585823i | 0.320869 | + | 0.185254i | ||||
\(11\) | 3.84319i | 1.15876i | 0.815056 | + | 0.579382i | \(0.196706\pi\) | ||||
−0.815056 | + | 0.579382i | \(0.803294\pi\) | |||||||
\(12\) | 0.485324 | + | 0.0176082i | 0.140101 | + | 0.00508306i | ||||
\(13\) | 2.54198 | + | 1.46761i | 0.705019 | + | 0.407043i | 0.809214 | − | 0.587514i | \(-0.199893\pi\) |
−0.104195 | + | 0.994557i | \(0.533227\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.713684 | − | 1.13869i | 0.184272 | − | 0.294008i | ||||
\(16\) | 2.24108 | − | 3.88166i | 0.560270 | − | 0.970415i | ||||
\(17\) | 2.69901 | − | 4.67482i | 0.654606 | − | 1.13381i | −0.327387 | − | 0.944890i | \(-0.606168\pi\) |
0.981993 | − | 0.188920i | \(-0.0604986\pi\) | |||||||
\(18\) | 0.328298 | − | 4.51837i | 0.0773805 | − | 1.06499i | ||||
\(19\) | 0.376551 | − | 0.217402i | 0.0863868 | − | 0.0498755i | −0.456184 | − | 0.889885i | \(-0.650784\pi\) |
0.542571 | + | 0.840010i | \(0.317451\pi\) | |||||||
\(20\) | 0.108773 | + | 0.188400i | 0.0243223 | + | 0.0421274i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.90179 | + | 5.02605i | −0.618663 | + | 1.07156i | ||||
\(23\) | − | 0.0557186i | − | 0.0116181i | −0.999983 | − | 0.00580906i | \(-0.998151\pi\) | ||
0.999983 | − | 0.00580906i | \(-0.00184909\pi\) | |||||||
\(24\) | −3.81107 | − | 2.38863i | −0.777931 | − | 0.487577i | ||||
\(25\) | −4.39802 | −0.879603 | ||||||||
\(26\) | 2.21624 | + | 3.83863i | 0.434640 | + | 0.752818i | ||||
\(27\) | −5.16543 | − | 0.564208i | −0.994088 | − | 0.108582i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.187994 | + | 0.108538i | −0.0349096 | + | 0.0201551i | −0.517353 | − | 0.855772i | \(-0.673083\pi\) |
0.482444 | + | 0.875927i | \(0.339749\pi\) | |||||||
\(30\) | 1.79310 | − | 0.950287i | 0.327375 | − | 0.173498i | ||||
\(31\) | −5.67806 | + | 3.27823i | −1.01981 | + | 0.588787i | −0.914049 | − | 0.405604i | \(-0.867061\pi\) |
−0.105761 | + | 0.994392i | \(0.533728\pi\) | |||||||
\(32\) | 1.36392 | − | 0.787461i | 0.241110 | − | 0.139205i | ||||
\(33\) | 5.64031 | + | 3.53513i | 0.981853 | + | 0.615386i | ||||
\(34\) | 7.05942 | − | 4.07576i | 1.21068 | − | 0.698987i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.472264 | − | 0.696071i | 0.0787106 | − | 0.116012i | ||||
\(37\) | 3.14698 | + | 5.45073i | 0.517361 | + | 0.896095i | 0.999797 | + | 0.0201636i | \(0.00641872\pi\) |
−0.482436 | + | 0.875931i | \(0.660248\pi\) | |||||||
\(38\) | 0.656595 | 0.106514 | ||||||||
\(39\) | 4.49211 | − | 2.38067i | 0.719314 | − | 0.381213i | ||||
\(40\) | − | 2.01478i | − | 0.318565i | ||||||
\(41\) | −3.78757 | + | 6.56026i | −0.591519 | + | 1.02454i | 0.402509 | + | 0.915416i | \(0.368138\pi\) |
−0.994028 | + | 0.109125i | \(0.965195\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.42703 | + | 11.1319i | 0.980112 | + | 1.69760i | 0.661914 | + | 0.749580i | \(0.269745\pi\) |
0.318198 | + | 0.948024i | \(0.396922\pi\) | |||||||
\(44\) | −0.933209 | + | 0.538789i | −0.140687 | + | 0.0812254i | ||||
\(45\) | −1.01468 | − | 2.09482i | −0.151259 | − | 0.312278i | ||||
\(46\) | 0.0420702 | − | 0.0728677i | 0.00620291 | − | 0.0107437i | ||||
\(47\) | −0.482772 | + | 0.836186i | −0.0704195 | + | 0.121970i | −0.899085 | − | 0.437774i | \(-0.855767\pi\) |
0.828666 | + | 0.559744i | \(0.189100\pi\) | |||||||
\(48\) | −3.63534 | − | 6.85955i | −0.524716 | − | 0.990091i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −5.75164 | − | 3.32071i | −0.813405 | − | 0.469619i | ||||
\(51\) | −4.37817 | − | 8.26120i | −0.613066 | − | 1.15680i | ||||
\(52\) | 0.822998i | 0.114129i | ||||||||
\(53\) | −6.46438 | − | 3.73221i | −0.887950 | − | 0.512658i | −0.0146788 | − | 0.999892i | \(-0.504673\pi\) |
−0.873272 | + | 0.487234i | \(0.838006\pi\) | |||||||
\(54\) | −6.32924 | − | 4.63800i | −0.861301 | − | 0.631153i | ||||
\(55\) | 2.98184i | 0.402071i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.0273056 | − | 0.752608i | 0.00361672 | − | 0.0996853i | ||||
\(58\) | −0.327806 | −0.0430431 | ||||||||
\(59\) | 1.56219 | + | 2.70580i | 0.203380 | + | 0.352265i | 0.949615 | − | 0.313418i | \(-0.101474\pi\) |
−0.746235 | + | 0.665682i | \(0.768141\pi\) | |||||||
\(60\) | 0.376551 | + | 0.0136618i | 0.0486126 | + | 0.00176373i | ||||
\(61\) | 3.01744 | + | 1.74212i | 0.386343 | + | 0.223055i | 0.680575 | − | 0.732679i | \(-0.261730\pi\) |
−0.294231 | + | 0.955734i | \(0.595064\pi\) | |||||||
\(62\) | −9.90087 | −1.25741 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.58603 | −0.823254 | ||||||||
\(65\) | 1.97226 | + | 1.13869i | 0.244629 | + | 0.141237i | ||||
\(66\) | 4.70711 | + | 8.88187i | 0.579405 | + | 1.09328i | ||||
\(67\) | 2.10088 | + | 3.63884i | 0.256664 | + | 0.444555i | 0.965346 | − | 0.260973i | \(-0.0840433\pi\) |
−0.708682 | + | 0.705528i | \(0.750710\pi\) | |||||||
\(68\) | 1.51353 | 0.183542 | ||||||||
\(69\) | −0.0817733 | − | 0.0512523i | −0.00984435 | − | 0.00617005i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 3.50812i | − | 0.416337i | −0.978093 | − | 0.208169i | \(-0.933250\pi\) | ||
0.978093 | − | 0.208169i | \(-0.0667503\pi\) | |||||||
\(72\) | −7.01117 | + | 3.39602i | −0.826274 | + | 0.400225i | ||||
\(73\) | 7.05942 | + | 4.07576i | 0.826243 | + | 0.477031i | 0.852564 | − | 0.522622i | \(-0.175046\pi\) |
−0.0263219 | + | 0.999654i | \(0.508379\pi\) | |||||||
\(74\) | 9.50448i | 1.10487i | ||||||||
\(75\) | −4.04548 | + | 6.45459i | −0.467132 | + | 0.745312i | ||||
\(76\) | 0.105580 | + | 0.0609566i | 0.0121108 | + | 0.00699220i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 7.67222 | + | 0.278359i | 0.868708 | + | 0.0315179i | ||||
\(79\) | 2.48110 | − | 4.29739i | 0.279145 | − | 0.483494i | −0.692027 | − | 0.721871i | \(-0.743282\pi\) |
0.971173 | + | 0.238377i | \(0.0766155\pi\) | |||||||
\(80\) | 1.73880 | − | 3.01169i | 0.194404 | − | 0.336717i | ||||
\(81\) | −5.57942 | + | 7.06187i | −0.619936 | + | 0.784653i | ||||
\(82\) | −9.90662 | + | 5.71959i | −1.09400 | + | 0.631623i | ||||
\(83\) | 4.31033 | + | 7.46571i | 0.473120 | + | 0.819469i | 0.999527 | − | 0.0307645i | \(-0.00979420\pi\) |
−0.526406 | + | 0.850233i | \(0.676461\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.09410 | − | 3.62708i | 0.227137 | − | 0.393412i | ||||
\(86\) | 19.4108i | 2.09312i | ||||||||
\(87\) | −0.0136324 | + | 0.375740i | −0.00146154 | + | 0.0402836i | ||||
\(88\) | 9.97991 | 1.06386 | ||||||||
\(89\) | −7.82041 | − | 13.5453i | −0.828962 | − | 1.43580i | −0.898853 | − | 0.438249i | \(-0.855599\pi\) |
0.0698916 | − | 0.997555i | \(-0.477735\pi\) | |||||||
\(90\) | 0.254718 | − | 3.50570i | 0.0268497 | − | 0.369533i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.0135297 | − | 0.00781136i | 0.00141057 | − | 0.000814391i | ||||
\(93\) | −0.411745 | + | 11.3487i | −0.0426959 | + | 1.17680i | ||||
\(94\) | −1.26272 | + | 0.729031i | −0.130240 | + | 0.0751938i | ||||
\(95\) | 0.292157 | − | 0.168677i | 0.0299747 | − | 0.0173059i | ||||
\(96\) | 0.0989048 | − | 2.72605i | 0.0100944 | − | 0.278226i | ||||
\(97\) | −1.24162 | + | 0.716849i | −0.126067 | + | 0.0727850i | −0.561708 | − | 0.827336i | \(-0.689855\pi\) |
0.435640 | + | 0.900121i | \(0.356522\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.3764 | − | 5.02605i | 1.04287 | − | 0.505137i | ||||
\(100\) | −0.616572 | − | 1.06793i | −0.0616572 | − | 0.106793i | ||||
\(101\) | −16.0219 | −1.59424 | −0.797120 | − | 0.603821i | \(-0.793644\pi\) | ||||
−0.797120 | + | 0.603821i | \(0.793644\pi\) | |||||||
\(102\) | 0.511914 | − | 14.1096i | 0.0506870 | − | 1.39705i | ||||
\(103\) | − | 16.8660i | − | 1.66186i | −0.556381 | − | 0.830928i | \(-0.687810\pi\) | ||
0.556381 | − | 0.830928i | \(-0.312190\pi\) | |||||||
\(104\) | 3.81107 | − | 6.60097i | 0.373706 | − | 0.647278i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.63599 | − | 9.76182i | −0.547416 | − | 0.948152i | ||||
\(107\) | −3.36444 | + | 1.94246i | −0.325253 | + | 0.187785i | −0.653731 | − | 0.756727i | \(-0.726797\pi\) |
0.328479 | + | 0.944511i | \(0.393464\pi\) | |||||||
\(108\) | −0.587156 | − | 1.33338i | −0.0564991 | − | 0.128304i | ||||
\(109\) | 1.28254 | − | 2.22143i | 0.122845 | − | 0.212774i | −0.798043 | − | 0.602600i | \(-0.794131\pi\) |
0.920889 | + | 0.389826i | \(0.127465\pi\) | |||||||
\(110\) | −2.25143 | + | 3.89959i | −0.214665 | + | 0.371811i | ||||
\(111\) | 10.8943 | + | 0.395260i | 1.03404 | + | 0.0375164i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.79043 | − | 5.65251i | −0.921006 | − | 0.531743i | −0.0370501 | − | 0.999313i | \(-0.511796\pi\) |
−0.883956 | + | 0.467570i | \(0.845129\pi\) | |||||||
\(114\) | 0.603964 | − | 0.963629i | 0.0565664 | − | 0.0902521i | ||||
\(115\) | − | 0.0432307i | − | 0.00403129i | ||||||
\(116\) | −0.0527109 | − | 0.0304327i | −0.00489408 | − | 0.00282560i | ||||
\(117\) | 0.638125 | − | 8.78253i | 0.0589946 | − | 0.811945i | ||||
\(118\) | 4.71812i | 0.434338i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.95692 | − | 1.85328i | −0.269929 | − | 0.169181i | ||||
\(121\) | −3.77009 | −0.342735 | ||||||||
\(122\) | 2.63076 | + | 4.55662i | 0.238178 | + | 0.412537i | ||||
\(123\) | 6.14397 | + | 11.5931i | 0.553983 | + | 1.04531i | ||||
\(124\) | −1.59205 | − | 0.919171i | −0.142970 | − | 0.0825440i | ||||
\(125\) | −7.29170 | −0.652189 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.65660 | 0.235735 | 0.117867 | − | 0.993029i | \(-0.462394\pi\) | ||||
0.117867 | + | 0.993029i | \(0.462394\pi\) | |||||||
\(128\) | −11.3409 | − | 6.54769i | −1.00241 | − | 0.578739i | ||||
\(129\) | 22.2492 | + | 0.807233i | 1.95894 | + | 0.0710729i | ||||
\(130\) | 1.71953 | + | 2.97830i | 0.150812 | + | 0.261215i | ||||
\(131\) | 8.23623 | 0.719602 | 0.359801 | − | 0.933029i | \(-0.382845\pi\) | ||||
0.359801 | + | 0.933029i | \(0.382845\pi\) | |||||||
\(132\) | −0.0676717 | + | 1.86519i | −0.00589006 | + | 0.162344i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 6.34507i | 0.548131i | ||||||||
\(135\) | −4.00774 | − | 0.437756i | −0.344931 | − | 0.0376760i | ||||
\(136\) | −12.1395 | − | 7.00873i | −1.04095 | − | 0.600994i | ||||
\(137\) | − | 17.3272i | − | 1.48036i | −0.672408 | − | 0.740180i | \(-0.734740\pi\) | ||
0.672408 | − | 0.740180i | \(-0.265260\pi\) | |||||||
\(138\) | −0.0682437 | − | 0.128769i | −0.00580929 | − | 0.0109616i | ||||
\(139\) | 5.47677 | + | 3.16201i | 0.464533 | + | 0.268198i | 0.713949 | − | 0.700198i | \(-0.246905\pi\) |
−0.249415 | + | 0.968397i | \(0.580238\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.783123 | + | 1.47768i | 0.0659509 | + | 0.124443i | ||||
\(142\) | 2.64880 | − | 4.58785i | 0.222282 | − | 0.385004i | ||||
\(143\) | −5.64031 | + | 9.76931i | −0.471667 | + | 0.816951i | ||||
\(144\) | −13.4111 | − | 0.974430i | −1.11759 | − | 0.0812025i | ||||
\(145\) | −0.145860 | + | 0.0842123i | −0.0121130 | + | 0.00699345i | ||||
\(146\) | 6.15478 | + | 10.6604i | 0.509373 | + | 0.882260i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.882370 | + | 1.52831i | −0.0725304 | + | 0.125626i | ||||
\(149\) | − | 12.8242i | − | 1.05060i | −0.850917 | − | 0.525300i | \(-0.823953\pi\) | ||
0.850917 | − | 0.525300i | \(-0.176047\pi\) | |||||||
\(150\) | −10.1641 | + | 5.38666i | −0.829897 | + | 0.439819i | ||||
\(151\) | 5.25517 | 0.427660 | 0.213830 | − | 0.976871i | \(-0.431406\pi\) | ||||
0.213830 | + | 0.976871i | \(0.431406\pi\) | |||||||
\(152\) | −0.564545 | − | 0.977821i | −0.0457907 | − | 0.0793118i | ||||
\(153\) | −16.1515 | − | 1.17354i | −1.30577 | − | 0.0948751i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.40547 | + | 2.54350i | −0.353856 | + | 0.204299i | ||||
\(156\) | 1.20784 | + | 0.757028i | 0.0967048 | + | 0.0606107i | ||||
\(157\) | 6.91794 | − | 3.99407i | 0.552111 | − | 0.318762i | −0.197862 | − | 0.980230i | \(-0.563400\pi\) |
0.749973 | + | 0.661468i | \(0.230066\pi\) | |||||||
\(158\) | 6.48946 | − | 3.74669i | 0.516274 | − | 0.298071i | ||||
\(159\) | −11.4236 | + | 6.05416i | −0.905954 | + | 0.480126i | ||||
\(160\) | 1.05823 | − | 0.610972i | 0.0836608 | − | 0.0483016i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −12.6287 | + | 5.02265i | −0.992205 | + | 0.394617i | ||||
\(163\) | 5.75231 | + | 9.96329i | 0.450556 | + | 0.780385i | 0.998421 | − | 0.0561817i | \(-0.0178926\pi\) |
−0.547865 | + | 0.836567i | \(0.684559\pi\) | |||||||
\(164\) | −2.12397 | −0.165854 | ||||||||
\(165\) | 4.37619 | + | 2.74282i | 0.340686 | + | 0.213528i | ||||
\(166\) | 13.0180i | 1.01039i | ||||||||
\(167\) | 8.38240 | − | 14.5187i | 0.648650 | − | 1.12349i | −0.334796 | − | 0.942291i | \(-0.608667\pi\) |
0.983446 | − | 0.181204i | \(-0.0579994\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.19222 | − | 3.79704i | −0.168632 | − | 0.292080i | ||||
\(170\) | 5.47724 | − | 3.16228i | 0.420085 | − | 0.242536i | ||||
\(171\) | −1.07942 | − | 0.732354i | −0.0825454 | − | 0.0560045i | ||||
\(172\) | −1.80205 | + | 3.12124i | −0.137405 | + | 0.237992i | ||||
\(173\) | −0.856396 | + | 1.48332i | −0.0651106 | + | 0.112775i | −0.896743 | − | 0.442552i | \(-0.854073\pi\) |
0.831632 | + | 0.555326i | \(0.187407\pi\) | |||||||
\(174\) | −0.301530 | + | 0.481093i | −0.0228589 | + | 0.0364716i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 14.9180 | + | 8.61288i | 1.12448 | + | 0.649220i | ||||
\(177\) | 5.40804 | + | 0.196211i | 0.406493 | + | 0.0147481i | ||||
\(178\) | − | 23.6191i | − | 1.77033i | ||||||
\(179\) | −12.4141 | − | 7.16731i | −0.927877 | − | 0.535710i | −0.0417372 | − | 0.999129i | \(-0.513289\pi\) |
−0.886139 | + | 0.463419i | \(0.846623\pi\) | |||||||
\(180\) | 0.366418 | − | 0.540065i | 0.0273112 | − | 0.0402541i | ||||
\(181\) | − | 4.83147i | − | 0.359121i | −0.983747 | − | 0.179560i | \(-0.942532\pi\) | ||
0.983747 | − | 0.179560i | \(-0.0574675\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.33232 | − | 2.82596i | 0.394177 | − | 0.208901i | ||||
\(184\) | −0.144689 | −0.0106666 | ||||||||
\(185\) | 2.44167 | + | 4.22909i | 0.179515 | + | 0.310929i | ||||
\(186\) | −9.10724 | + | 14.5307i | −0.667775 | + | 1.06544i | ||||
\(187\) | 17.9662 | + | 10.3728i | 1.31382 | + | 0.758534i | ||||
\(188\) | −0.270725 | −0.0197447 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.509437 | 0.0369584 | ||||||||
\(191\) | −2.72114 | − | 1.57105i | −0.196895 | − | 0.113677i | 0.398311 | − | 0.917250i | \(-0.369596\pi\) |
−0.595206 | + | 0.803573i | \(0.702930\pi\) | |||||||
\(192\) | −6.05811 | + | 9.66575i | −0.437206 | + | 0.697566i | ||||
\(193\) | −3.00508 | − | 5.20496i | −0.216311 | − | 0.374661i | 0.737367 | − | 0.675493i | \(-0.236069\pi\) |
−0.953677 | + | 0.300832i | \(0.902736\pi\) | |||||||
\(194\) | −2.16502 | −0.155439 | ||||||||
\(195\) | 3.48532 | − | 1.84711i | 0.249589 | − | 0.132274i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.0902i | 1.00388i | 0.864901 | + | 0.501942i | \(0.167381\pi\) | ||||
−0.864901 | + | 0.501942i | \(0.832619\pi\) | |||||||
\(198\) | 17.3650 | + | 1.26171i | 1.23407 | + | 0.0896658i | ||||
\(199\) | 6.84234 | + | 3.95043i | 0.485041 | + | 0.280038i | 0.722515 | − | 0.691355i | \(-0.242986\pi\) |
−0.237474 | + | 0.971394i | \(0.576319\pi\) | |||||||
\(200\) | 11.4207i | 0.807564i | ||||||||
\(201\) | 7.27289 | + | 0.263871i | 0.512990 | + | 0.0186120i | ||||
\(202\) | −20.9531 | − | 12.0973i | −1.47426 | − | 0.851163i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.39221 | − | 2.22128i | 0.0974741 | − | 0.155520i | ||||
\(205\) | −2.93869 | + | 5.08995i | −0.205247 | + | 0.355498i | ||||
\(206\) | 12.7346 | − | 22.0570i | 0.887263 | − | 1.53678i | ||||
\(207\) | −0.150437 | + | 0.0728677i | −0.0104561 | + | 0.00506465i | ||||
\(208\) | 11.3936 | − | 6.57807i | 0.790001 | − | 0.456107i | ||||
\(209\) | 0.835517 | + | 1.44716i | 0.0577939 | + | 0.100102i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.57821 | − | 4.46559i | 0.177491 | − | 0.307424i | −0.763529 | − | 0.645773i | \(-0.776535\pi\) |
0.941021 | + | 0.338349i | \(0.109868\pi\) | |||||||
\(212\) | − | 2.09292i | − | 0.143742i | ||||||
\(213\) | −5.14856 | − | 3.22692i | −0.352774 | − | 0.221105i | ||||
\(214\) | −5.86660 | −0.401032 | ||||||||
\(215\) | 4.98658 | + | 8.63701i | 0.340082 | + | 0.589039i | ||||
\(216\) | −1.46512 | + | 13.4135i | −0.0996891 | + | 0.912672i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 3.35457 | − | 1.93676i | 0.227200 | − | 0.131174i | ||||
\(219\) | 12.4752 | − | 6.61145i | 0.842995 | − | 0.446760i | ||||
\(220\) | −0.724055 | + | 0.418033i | −0.0488158 | + | 0.0281838i | ||||
\(221\) | 13.7217 | − | 7.92220i | 0.923019 | − | 0.532905i | ||||
\(222\) | 13.9489 | + | 8.74262i | 0.936189 | + | 0.586766i | ||||
\(223\) | −3.79823 | + | 2.19291i | −0.254348 | + | 0.146848i | −0.621754 | − | 0.783213i | \(-0.713580\pi\) |
0.367405 | + | 0.930061i | \(0.380246\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.75164 | + | 11.8744i | 0.383443 | + | 0.791627i | ||||
\(226\) | −8.53582 | − | 14.7845i | −0.567794 | − | 0.983449i | ||||
\(227\) | −9.67394 | −0.642082 | −0.321041 | − | 0.947065i | \(-0.604033\pi\) | ||||
−0.321041 | + | 0.947065i | \(0.604033\pi\) | |||||||
\(228\) | 0.186578 | − | 0.0988800i | 0.0123564 | − | 0.00654849i | ||||
\(229\) | 8.85314i | 0.585032i | 0.956261 | + | 0.292516i | \(0.0944925\pi\) | ||||
−0.956261 | + | 0.292516i | \(0.905508\pi\) | |||||||
\(230\) | 0.0326412 | − | 0.0565363i | 0.00215230 | − | 0.00372789i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.281850 | + | 0.488179i | 0.0185044 | + | 0.0320505i | ||||
\(233\) | 11.1612 | − | 6.44391i | 0.731194 | − | 0.422155i | −0.0876651 | − | 0.996150i | \(-0.527941\pi\) |
0.818859 | + | 0.573995i | \(0.194607\pi\) | |||||||
\(234\) | 7.46575 | − | 11.0038i | 0.488052 | − | 0.719341i | ||||
\(235\) | −0.374571 | + | 0.648777i | −0.0244343 | + | 0.0423215i | ||||
\(236\) | −0.438017 | + | 0.758668i | −0.0285125 | + | 0.0493851i | ||||
\(237\) | −4.02469 | − | 7.59421i | −0.261432 | − | 0.493297i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.18421 | + | 2.41575i | 0.270654 | + | 0.156262i | 0.629185 | − | 0.777256i | \(-0.283389\pi\) |
−0.358531 | + | 0.933518i | \(0.616722\pi\) | |||||||
\(240\) | −2.82058 | − | 5.32217i | −0.182067 | − | 0.343544i | ||||
\(241\) | 10.0336i | 0.646323i | 0.946344 | + | 0.323161i | \(0.104746\pi\) | ||||
−0.946344 | + | 0.323161i | \(0.895254\pi\) | |||||||
\(242\) | −4.93045 | − | 2.84659i | −0.316941 | − | 0.182986i | ||||
\(243\) | 5.23192 | + | 14.6842i | 0.335628 | + | 0.941995i | ||||
\(244\) | 0.976932i | 0.0625417i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.718379 | + | 19.8002i | −0.0458022 | + | 1.26242i | ||||
\(247\) | 1.27625 | 0.0812058 | ||||||||
\(248\) | 8.51284 | + | 14.7447i | 0.540566 | + | 0.936288i | ||||
\(249\) | 14.9216 | + | 0.541377i | 0.945619 | + | 0.0343083i | ||||
\(250\) | −9.53594 | − | 5.50558i | −0.603106 | − | 0.348203i | ||||
\(251\) | 7.98203 | 0.503821 | 0.251911 | − | 0.967751i | \(-0.418941\pi\) | ||||
0.251911 | + | 0.967751i | \(0.418941\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.214137 | 0.0134627 | ||||||||
\(254\) | 3.47424 | + | 2.00586i | 0.217993 | + | 0.125859i | ||||
\(255\) | −3.39692 | − | 6.40967i | −0.212723 | − | 0.401389i | ||||
\(256\) | −3.30160 | − | 5.71853i | −0.206350 | − | 0.357408i | ||||
\(257\) | 2.68230 | 0.167317 | 0.0836585 | − | 0.996494i | \(-0.473340\pi\) | ||||
0.0836585 | + | 0.996494i | \(0.473340\pi\) | |||||||
\(258\) | 28.4876 | + | 17.8549i | 1.77356 | + | 1.11160i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.638544i | 0.0396008i | ||||||||
\(261\) | 0.538902 | + | 0.365629i | 0.0333572 | + | 0.0226319i | ||||
\(262\) | 10.7712 | + | 6.21874i | 0.665445 | + | 0.384195i | ||||
\(263\) | 23.4359i | 1.44512i | 0.691309 | + | 0.722560i | \(0.257034\pi\) | ||||
−0.691309 | + | 0.722560i | \(0.742966\pi\) | |||||||
\(264\) | 9.17994 | − | 14.6467i | 0.564986 | − | 0.901439i | ||||
\(265\) | −5.01556 | − | 2.89573i | −0.308103 | − | 0.177883i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −27.0729 | − | 0.982241i | −1.65683 | − | 0.0601122i | ||||
\(268\) | −0.589059 | + | 1.02028i | −0.0359825 | + | 0.0623236i | ||||
\(269\) | 1.98955 | − | 3.44600i | 0.121305 | − | 0.210106i | −0.798978 | − | 0.601361i | \(-0.794625\pi\) |
0.920283 | + | 0.391254i | \(0.127959\pi\) | |||||||
\(270\) | −4.91071 | − | 3.59852i | −0.298856 | − | 0.218999i | ||||
\(271\) | −10.8303 | + | 6.25288i | −0.657895 | + | 0.379836i | −0.791474 | − | 0.611202i | \(-0.790686\pi\) |
0.133580 | + | 0.991038i | \(0.457353\pi\) | |||||||
\(272\) | −12.0974 | − | 20.9533i | −0.733511 | − | 1.27048i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 13.0828 | − | 22.6601i | 0.790363 | − | 1.36895i | ||||
\(275\) | − | 16.9024i | − | 1.01925i | ||||||
\(276\) | 0.000981105 | − | 0.0270416i | 5.90556e−5 | − | 0.00162771i | ||||
\(277\) | −19.6909 | −1.18311 | −0.591557 | − | 0.806263i | \(-0.701487\pi\) | ||||
−0.591557 | + | 0.806263i | \(0.701487\pi\) | |||||||
\(278\) | 4.77494 | + | 8.27044i | 0.286382 | + | 0.496028i | ||||
\(279\) | 16.2767 | + | 11.0433i | 0.974460 | + | 0.661142i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.03456 | − | 4.06141i | 0.419647 | − | 0.242283i | −0.275279 | − | 0.961364i | \(-0.588770\pi\) |
0.694926 | + | 0.719081i | \(0.255437\pi\) | |||||||
\(282\) | −0.0915661 | + | 2.52378i | −0.00545268 | + | 0.150289i | ||||
\(283\) | −1.16390 | + | 0.671978i | −0.0691867 | + | 0.0399450i | −0.534194 | − | 0.845362i | \(-0.679385\pi\) |
0.465008 | + | 0.885307i | \(0.346052\pi\) | |||||||
\(284\) | 0.851847 | − | 0.491814i | 0.0505478 | − | 0.0291838i | ||||
\(285\) | 0.0211858 | − | 0.583931i | 0.00125494 | − | 0.0345891i | ||||
\(286\) | −14.7526 | + | 8.51741i | −0.872339 | + | 0.503645i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.90981 | − | 2.65269i | −0.230388 | − | 0.156311i | ||||
\(289\) | −6.06929 | − | 10.5123i | −0.357017 | − | 0.618371i | ||||
\(290\) | −0.254337 | −0.0149352 | ||||||||
\(291\) | −0.0900361 | + | 2.48161i | −0.00527801 | + | 0.145474i | ||||
\(292\) | 2.28557i | 0.133753i | ||||||||
\(293\) | 10.6300 | − | 18.4117i | 0.621012 | − | 1.07562i | −0.368285 | − | 0.929713i | \(-0.620055\pi\) |
0.989298 | − | 0.145912i | \(-0.0466116\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.21207 | + | 2.09936i | 0.0705693 | + | 0.122230i | ||||
\(296\) | 14.1543 | − | 8.17202i | 0.822705 | − | 0.474989i | ||||
\(297\) | 2.16836 | − | 19.8517i | 0.125821 | − | 1.15191i | ||||
\(298\) | 9.68289 | − | 16.7713i | 0.560915 | − | 0.971533i | ||||
\(299\) | 0.0817733 | − | 0.141636i | 0.00472907 | − | 0.00819100i | ||||
\(300\) | −2.13446 | − | 0.0774412i | −0.123233 | − | 0.00447107i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 6.87261 | + | 3.96790i | 0.395474 | + | 0.228327i | ||||
\(303\) | −14.7376 | + | 23.5140i | −0.846655 | + | 1.35084i | ||||
\(304\) | − | 1.94886i | − | 0.111775i | ||||||
\(305\) | 2.34116 | + | 1.35167i | 0.134054 | + | 0.0773963i | ||||
\(306\) | −20.2365 | − | 13.7299i | −1.15684 | − | 0.784884i | ||||
\(307\) | − | 13.2098i | − | 0.753925i | −0.926229 | − | 0.376962i | \(-0.876969\pi\) | ||
0.926229 | − | 0.376962i | \(-0.123031\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −24.7528 | − | 15.5140i | −1.40814 | − | 0.882563i | ||||
\(310\) | −7.68185 | −0.436300 | ||||||||
\(311\) | −10.2687 | − | 17.7859i | −0.582283 | − | 1.00854i | −0.995208 | − | 0.0977785i | \(-0.968826\pi\) |
0.412925 | − | 0.910765i | \(-0.364507\pi\) | |||||||
\(312\) | −6.18209 | − | 11.6650i | −0.349992 | − | 0.660402i | ||||
\(313\) | −14.2976 | − | 8.25471i | −0.808147 | − | 0.466584i | 0.0381649 | − | 0.999271i | \(-0.487849\pi\) |
−0.846312 | + | 0.532688i | \(0.821182\pi\) | |||||||
\(314\) | 12.0629 | 0.680746 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.39133 | 0.0782685 | ||||||||
\(317\) | 8.11112 | + | 4.68296i | 0.455566 | + | 0.263021i | 0.710178 | − | 0.704022i | \(-0.248614\pi\) |
−0.254612 | + | 0.967043i | \(0.581948\pi\) | |||||||
\(318\) | −19.5108 | − | 0.707879i | −1.09411 | − | 0.0396959i | ||||
\(319\) | −0.417133 | − | 0.722496i | −0.0233550 | − | 0.0404520i | ||||
\(320\) | −5.10995 | −0.285655 | ||||||||
\(321\) | −0.243972 | + | 6.72445i | −0.0136172 | + | 0.375322i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 2.34708i | − | 0.130595i | ||||||
\(324\) | −2.49697 | − | 0.364778i | −0.138721 | − | 0.0202654i | ||||
\(325\) | −11.1797 | − | 6.45459i | −0.620137 | − | 0.358036i | ||||
\(326\) | 17.3731i | 0.962205i | ||||||||
\(327\) | −2.08046 | − | 3.92564i | −0.115050 | − | 0.217089i | ||||
\(328\) | 17.0356 | + | 9.83548i | 0.940631 | + | 0.543074i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.65213 | + | 6.89124i | 0.201043 | + | 0.379350i | ||||
\(331\) | −14.4220 | + | 24.9796i | −0.792702 | + | 1.37300i | 0.131586 | + | 0.991305i | \(0.457993\pi\) |
−0.924288 | + | 0.381696i | \(0.875340\pi\) | |||||||
\(332\) | −1.20856 | + | 2.09328i | −0.0663282 | + | 0.114884i | ||||
\(333\) | 10.6011 | − | 15.6250i | 0.580938 | − | 0.856247i | ||||
\(334\) | 21.9247 | − | 12.6582i | 1.19967 | − | 0.692627i | ||||
\(335\) | 1.63003 | + | 2.82329i | 0.0890579 | + | 0.154253i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.26205 | + | 10.8462i | −0.341116 | + | 0.590829i | −0.984640 | − | 0.174596i | \(-0.944138\pi\) |
0.643525 | + | 0.765425i | \(0.277471\pi\) | |||||||
\(338\) | − | 6.62092i | − | 0.360130i | ||||||
\(339\) | −17.3013 | + | 9.16915i | −0.939680 | + | 0.498000i | ||||
\(340\) | 1.17431 | 0.0636860 | ||||||||
\(341\) | −12.5988 | − | 21.8218i | −0.682266 | − | 1.18172i | ||||
\(342\) | −0.858683 | − | 1.77277i | −0.0464322 | − | 0.0958606i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 28.9072 | − | 16.6896i | 1.55857 | − | 0.899841i | ||||
\(345\) | −0.0634460 | − | 0.0397654i | −0.00341582 | − | 0.00214090i | ||||
\(346\) | −2.23996 | + | 1.29324i | −0.120421 | + | 0.0695250i | ||||
\(347\) | 24.8740 | − | 14.3610i | 1.33531 | − | 0.770939i | 0.349199 | − | 0.937049i | \(-0.386454\pi\) |
0.986107 | + | 0.166109i | \(0.0531204\pi\) | |||||||
\(348\) | −0.0931491 | + | 0.0493660i | −0.00499332 | + | 0.00264630i | ||||
\(349\) | −11.0854 | + | 6.40017i | −0.593389 | + | 0.342593i | −0.766436 | − | 0.642320i | \(-0.777972\pi\) |
0.173048 | + | 0.984913i | \(0.444639\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.3024 | − | 9.01506i | −0.656653 | − | 0.481188i | ||||
\(352\) | 3.02636 | + | 5.24181i | 0.161305 | + | 0.279389i | ||||
\(353\) | 26.9982 | 1.43697 | 0.718485 | − | 0.695542i | \(-0.244836\pi\) | ||||
0.718485 | + | 0.695542i | \(0.244836\pi\) | |||||||
\(354\) | 6.92437 | + | 4.33992i | 0.368026 | + | 0.230664i | ||||
\(355\) | − | 2.72187i | − | 0.144462i | ||||||
\(356\) | 2.19274 | − | 3.79793i | 0.116215 | − | 0.201290i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.8233 | − | 18.7465i | −0.572030 | − | 0.990785i | ||||
\(359\) | −24.2669 | + | 14.0105i | −1.28076 | + | 0.739445i | −0.976987 | − | 0.213300i | \(-0.931579\pi\) |
−0.303770 | + | 0.952745i | \(0.598245\pi\) | |||||||
\(360\) | −5.43980 | + | 2.63489i | −0.286703 | + | 0.138871i | ||||
\(361\) | −9.40547 | + | 16.2908i | −0.495025 | + | 0.857408i | ||||
\(362\) | 3.64799 | − | 6.31851i | 0.191734 | − | 0.332093i | ||||
\(363\) | −3.46789 | + | 5.53303i | −0.182017 | + | 0.290409i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.47724 | + | 3.16228i | 0.286692 | + | 0.165522i | ||||
\(366\) | 9.10724 | + | 0.330423i | 0.476043 | + | 0.0172715i | ||||
\(367\) | 33.4382i | 1.74546i | 0.488202 | + | 0.872731i | \(0.337653\pi\) | ||||
−0.488202 | + | 0.872731i | \(0.662347\pi\) | |||||||
\(368\) | −0.216281 | − | 0.124870i | −0.0112744 | − | 0.00650928i | ||||
\(369\) | 22.6657 | + | 1.64685i | 1.17993 | + | 0.0857316i | ||||
\(370\) | 7.37430i | 0.383372i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2.81342 | + | 1.49102i | −0.145869 | + | 0.0773059i | ||||
\(373\) | −7.96805 | −0.412570 | −0.206285 | − | 0.978492i | \(-0.566137\pi\) | ||||
−0.206285 | + | 0.978492i | \(0.566137\pi\) | |||||||
\(374\) | 15.6639 | + | 27.1307i | 0.809961 | + | 1.40289i | ||||
\(375\) | −6.70721 | + | 10.7014i | −0.346359 | + | 0.552618i | ||||
\(376\) | 2.17139 | + | 1.25365i | 0.111981 | + | 0.0646522i | ||||
\(377\) | −0.637169 | −0.0328159 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.88714 | 0.199669 | 0.0998345 | − | 0.995004i | \(-0.468169\pi\) | ||||
0.0998345 | + | 0.995004i | \(0.468169\pi\) | |||||||
\(380\) | 0.0819169 | + | 0.0472948i | 0.00420225 | + | 0.00242617i | ||||
\(381\) | 2.44365 | − | 3.89886i | 0.125192 | − | 0.199744i | ||||
\(382\) | −2.37244 | − | 4.10918i | −0.121384 | − | 0.210244i | ||||
\(383\) | −12.6830 | −0.648071 | −0.324036 | − | 0.946045i | \(-0.605040\pi\) | ||||
−0.324036 | + | 0.946045i | \(0.605040\pi\) | |||||||
\(384\) | −20.0413 | + | 10.6213i | −1.02273 | + | 0.542014i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 9.07592i | − | 0.461952i | ||||||
\(387\) | 21.6505 | − | 31.9108i | 1.10056 | − | 1.62211i | ||||
\(388\) | −0.348133 | − | 0.200995i | −0.0176738 | − | 0.0102040i | ||||
\(389\) | − | 20.5614i | − | 1.04250i | −0.853403 | − | 0.521252i | \(-0.825465\pi\) | ||
0.853403 | − | 0.521252i | \(-0.174535\pi\) | |||||||
\(390\) | 5.95269 | + | 0.215972i | 0.301426 | + | 0.0109362i | ||||
\(391\) | −0.260474 | − | 0.150385i | −0.0131727 | − | 0.00760529i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.57603 | − | 12.0876i | 0.382160 | − | 0.609739i | ||||
\(394\) | −10.6388 | + | 18.4269i | −0.535973 | + | 0.928332i | ||||
\(395\) | 1.92503 | − | 3.33424i | 0.0968586 | − | 0.167764i | ||||
\(396\) | 2.67513 | + | 1.81500i | 0.134430 | + | 0.0912070i | ||||
\(397\) | −12.9646 | + | 7.48513i | −0.650676 | + | 0.375668i | −0.788715 | − | 0.614759i | \(-0.789253\pi\) |
0.138039 | + | 0.990427i | \(0.455920\pi\) | |||||||
\(398\) | 5.96552 | + | 10.3326i | 0.299025 | + | 0.517926i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.85630 | + | 17.0716i | −0.492815 | + | 0.853580i | ||||
\(401\) | 10.3164i | 0.515178i | 0.966255 | + | 0.257589i | \(0.0829280\pi\) | ||||
−0.966255 | + | 0.257589i | \(0.917072\pi\) | |||||||
\(402\) | 9.31211 | + | 5.83646i | 0.464446 | + | 0.291096i | ||||
\(403\) | −19.2447 | −0.958647 | ||||||||
\(404\) | −2.24616 | − | 3.89047i | −0.111751 | − | 0.193558i | ||||
\(405\) | −4.32894 | + | 5.47914i | −0.215107 | + | 0.272261i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −20.9482 | + | 12.0944i | −1.03836 | + | 0.599499i | ||||
\(408\) | −21.4525 | + | 11.3691i | −1.06206 | + | 0.562856i | ||||
\(409\) | 16.0387 | − | 9.25995i | 0.793063 | − | 0.457875i | −0.0479769 | − | 0.998848i | \(-0.515277\pi\) |
0.841040 | + | 0.540973i | \(0.181944\pi\) | |||||||
\(410\) | −7.68631 | + | 4.43769i | −0.379600 | + | 0.219162i | ||||
\(411\) | −25.4296 | − | 15.9383i | −1.25435 | − | 0.786177i | ||||
\(412\) | 4.09543 | − | 2.36450i | 0.201767 | − | 0.116490i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.251757 | − | 0.0182923i | −0.0123732 | − | 0.000899017i | ||||
\(415\) | 3.34429 | + | 5.79247i | 0.164165 | + | 0.284341i | ||||
\(416\) | 4.62275 | 0.226649 | ||||||||
\(417\) | 9.67838 | − | 5.12923i | 0.473952 | − | 0.251179i | ||||
\(418\) | 2.52342i | 0.123424i | ||||||||
\(419\) | −6.37677 | + | 11.0449i | −0.311526 | + | 0.539578i | −0.978693 | − | 0.205330i | \(-0.934173\pi\) |
0.667167 | + | 0.744908i | \(0.267507\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.78793 | + | 11.7570i | 0.330824 | + | 0.573003i | 0.982674 | − | 0.185345i | \(-0.0593402\pi\) |
−0.651850 | + | 0.758348i | \(0.726007\pi\) | |||||||
\(422\) | 6.74347 | − | 3.89334i | 0.328267 | − | 0.189525i | ||||
\(423\) | 2.88902 | + | 0.209911i | 0.140469 | + | 0.0102062i | ||||
\(424\) | −9.69173 | + | 16.7866i | −0.470672 | + | 0.815227i | ||||
\(425\) | −11.8703 | + | 20.5599i | −0.575793 | + | 0.997303i | ||||
\(426\) | −4.29672 | − | 8.10751i | −0.208177 | − | 0.392810i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.943342 | − | 0.544639i | −0.0455982 | − | 0.0263261i | ||||
\(429\) | 9.14938 | + | 17.2640i | 0.441736 | + | 0.833515i | ||||
\(430\) | 15.0604i | 0.726277i | ||||||||
\(431\) | 31.3069 | + | 18.0750i | 1.50800 | + | 0.870643i | 0.999957 | + | 0.00931038i | \(0.00296363\pi\) |
0.508041 | + | 0.861333i | \(0.330370\pi\) | |||||||
\(432\) | −13.7662 | + | 18.7860i | −0.662326 | + | 0.903843i | ||||
\(433\) | − | 33.0085i | − | 1.58629i | −0.609034 | − | 0.793144i | \(-0.708443\pi\) | ||
0.609034 | − | 0.793144i | \(-0.291557\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.0105770 | + | 0.291528i | −0.000507130 | + | 0.0139777i | ||||
\(436\) | 0.719215 | 0.0344442 | ||||||||
\(437\) | −0.0121133 | − | 0.0209809i | −0.000579459 | − | 0.00100365i | ||||
\(438\) | 21.3068 | + | 0.773039i | 1.01808 | + | 0.0369372i | ||||
\(439\) | −26.4673 | − | 15.2809i | −1.26321 | − | 0.729317i | −0.289519 | − | 0.957172i | \(-0.593495\pi\) |
−0.973695 | + | 0.227856i | \(0.926829\pi\) | |||||||
\(440\) | 7.74318 | 0.369141 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 23.9266 | 1.13807 | ||||||||
\(443\) | −17.9290 | − | 10.3513i | −0.851833 | − | 0.491806i | 0.00943615 | − | 0.999955i | \(-0.496996\pi\) |
−0.861269 | + | 0.508150i | \(0.830330\pi\) | |||||||
\(444\) | 1.43133 | + | 2.70078i | 0.0679278 | + | 0.128174i | ||||
\(445\) | −6.06767 | − | 10.5095i | −0.287635 | − | 0.498199i | ||||
\(446\) | −6.62300 | −0.313608 | ||||||||
\(447\) | −18.8210 | − | 11.7963i | −0.890203 | − | 0.557944i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 6.40243i | − | 0.302150i | −0.988522 | − | 0.151075i | \(-0.951727\pi\) | ||
0.988522 | − | 0.151075i | \(-0.0482734\pi\) | |||||||
\(450\) | −1.44386 | + | 19.8719i | −0.0680641 | + | 0.936769i | ||||
\(451\) | −25.2123 | − | 14.5563i | −1.18720 | − | 0.685431i | ||||
\(452\) | − | 3.16977i | − | 0.149093i | ||||||
\(453\) | 4.83393 | − | 7.71256i | 0.227118 | − | 0.362368i | ||||
\(454\) | −12.6514 | − | 7.30428i | −0.593759 | − | 0.342807i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.95436 | − | 0.0709067i | −0.0915211 | − | 0.00332051i | ||||
\(457\) | 1.57340 | − | 2.72521i | 0.0736007 | − | 0.127480i | −0.826876 | − | 0.562384i | \(-0.809884\pi\) |
0.900477 | + | 0.434904i | \(0.143218\pi\) | |||||||
\(458\) | −6.68454 | + | 11.5780i | −0.312348 | + | 0.541003i | ||||
\(459\) | −16.5791 | + | 22.6246i | −0.773846 | + | 1.05603i | ||||
\(460\) | 0.0104974 | − | 0.00606065i | 0.000489442 | − | 0.000282579i | ||||
\(461\) | −7.44225 | − | 12.8904i | −0.346620 | − | 0.600364i | 0.639026 | − | 0.769185i | \(-0.279337\pi\) |
−0.985647 | + | 0.168821i | \(0.946004\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.3616 | − | 23.1429i | 0.620964 | − | 1.07554i | −0.368342 | − | 0.929690i | \(-0.620075\pi\) |
0.989307 | − | 0.145851i | \(-0.0465921\pi\) | |||||||
\(464\) | 0.972971i | 0.0451691i | ||||||||
\(465\) | −0.319463 | + | 8.80515i | −0.0148147 | + | 0.408329i | ||||
\(466\) | 19.4618 | 0.901552 | ||||||||
\(467\) | 12.3967 | + | 21.4717i | 0.573650 | + | 0.993591i | 0.996187 | + | 0.0872454i | \(0.0278064\pi\) |
−0.422537 | + | 0.906346i | \(0.638860\pi\) | |||||||
\(468\) | 2.22205 | − | 1.07630i | 0.102714 | − | 0.0497520i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.979714 | + | 0.565638i | −0.0451908 | + | 0.0260909i | ||||
\(471\) | 0.501654 | − | 13.8268i | 0.0231150 | − | 0.637104i | ||||
\(472\) | 7.02636 | − | 4.05667i | 0.323414 | − | 0.186723i | ||||
\(473\) | −42.7821 | + | 24.7003i | −1.96712 | + | 1.13572i | ||||
\(474\) | 0.470584 | − | 12.9704i | 0.0216146 | − | 0.595750i | ||||
\(475\) | −1.65608 | + | 0.956138i | −0.0759861 | + | 0.0438706i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.62278 | + | 22.3344i | −0.0743020 | + | 1.02262i | ||||
\(478\) | 3.64801 | + | 6.31855i | 0.166856 | + | 0.289004i | ||||
\(479\) | −12.5271 | −0.572377 | −0.286189 | − | 0.958173i | \(-0.592388\pi\) | ||||
−0.286189 | + | 0.958173i | \(0.592388\pi\) | |||||||
\(480\) | 0.0767379 | − | 2.11508i | 0.00350259 | − | 0.0965397i | ||||
\(481\) | 18.4742i | 0.842352i | ||||||||
\(482\) | −7.57587 | + | 13.1218i | −0.345071 | + | 0.597681i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.528540 | − | 0.915459i | −0.0240246 | − | 0.0416118i | ||||
\(485\) | −0.963343 | + | 0.556187i | −0.0437432 | + | 0.0252551i | ||||
\(486\) | −4.24510 | + | 23.1541i | −0.192562 | + | 1.05029i | ||||
\(487\) | 1.69748 | − | 2.94012i | 0.0769202 | − | 0.133230i | −0.824999 | − | 0.565133i | \(-0.808825\pi\) |
0.901920 | + | 0.431904i | \(0.142158\pi\) | |||||||
\(488\) | 4.52390 | − | 7.83562i | 0.204787 | − | 0.354702i | ||||
\(489\) | 19.9135 | + | 0.722488i | 0.900519 | + | 0.0326720i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.780171 | + | 0.450432i | 0.0352086 | + | 0.0203277i | 0.517501 | − | 0.855683i | \(-0.326862\pi\) |
−0.482292 | + | 0.876010i | \(0.660196\pi\) | |||||||
\(492\) | −1.95371 | + | 3.11716i | −0.0880802 | + | 0.140532i | ||||
\(493\) | 1.17178i | 0.0527745i | ||||||||
\(494\) | 1.66905 | + | 0.963629i | 0.0750943 | + | 0.0433557i | ||||
\(495\) | 8.05080 | − | 3.89959i | 0.361857 | − | 0.175274i | ||||
\(496\) | 29.3871i | 1.31952i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 19.1054 | + | 11.9745i | 0.856135 | + | 0.536591i | ||||
\(499\) | 21.8688 | 0.978984 | 0.489492 | − | 0.872008i | \(-0.337182\pi\) | ||||
0.489492 | + | 0.872008i | \(0.337182\pi\) | |||||||
\(500\) | −1.02225 | − | 1.77058i | −0.0457162 | − | 0.0791829i | ||||
\(501\) | −13.5974 | − | 25.6571i | −0.607488 | − | 1.14627i | ||||
\(502\) | 10.4387 | + | 6.02681i | 0.465904 | + | 0.268990i | ||||
\(503\) | −42.9876 | −1.91672 | −0.958362 | − | 0.285557i | \(-0.907821\pi\) | ||||
−0.958362 | + | 0.285557i | \(0.907821\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4310 | −0.553173 | ||||||||
\(506\) | 0.280044 | + | 0.161684i | 0.0124495 | + | 0.00718771i | ||||
\(507\) | −7.58908 | − | 0.275342i | −0.337043 | − | 0.0122284i | ||||
\(508\) | 0.372436 | + | 0.645079i | 0.0165242 | + | 0.0286207i | ||||
\(509\) | 30.0832 | 1.33342 | 0.666708 | − | 0.745319i | \(-0.267703\pi\) | ||||
0.666708 | + | 0.745319i | \(0.267703\pi\) | |||||||
\(510\) | 0.397182 | − | 10.9473i | 0.0175875 | − | 0.484753i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 16.2193i | 0.716799i | ||||||||
\(513\) | −2.06771 | + | 0.910522i | −0.0912916 | + | 0.0402005i | ||||
\(514\) | 3.50785 | + | 2.02526i | 0.154725 | + | 0.0893304i | ||||
\(515\) | − | 13.0859i | − | 0.576635i | ||||||
\(516\) | 2.92318 | + | 5.51576i | 0.128686 | + | 0.242818i | ||||
\(517\) | −3.21362 | − | 1.85538i | −0.141335 | − | 0.0815997i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.38919 | + | 2.62128i | 0.0609789 | + | 0.115061i | ||||
\(520\) | 2.95692 | − | 5.12153i | 0.129669 | − | 0.224594i | ||||
\(521\) | −6.00837 | + | 10.4068i | −0.263231 | + | 0.455930i | −0.967099 | − | 0.254401i | \(-0.918122\pi\) |
0.703867 | + | 0.710331i | \(0.251455\pi\) | |||||||
\(522\) | 0.428699 | + | 0.885059i | 0.0187636 | + | 0.0387380i | ||||
\(523\) | 16.1185 | − | 9.30602i | 0.704813 | − | 0.406924i | −0.104325 | − | 0.994543i | \(-0.533268\pi\) |
0.809137 | + | 0.587620i | \(0.199935\pi\) | |||||||
\(524\) | 1.15466 | + | 1.99993i | 0.0504417 | + | 0.0873675i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.6952 | + | 30.6490i | −0.771548 | + | 1.33636i | ||||
\(527\) | 35.3919i | 1.54169i | ||||||||
\(528\) | 26.3625 | − | 13.9713i | 1.14728 | − | 0.608023i | ||||
\(529\) | 22.9969 | 0.999865 | ||||||||
\(530\) | −4.37283 | − | 7.57397i | −0.189944 | − | 0.328992i | ||||
\(531\) | 5.26250 | − | 7.75642i | 0.228373 | − | 0.336600i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −19.2559 | + | 11.1174i | −0.834064 | + | 0.481547i | ||||
\(534\) | −34.6637 | − | 21.7259i | −1.50005 | − | 0.940170i | ||||
\(535\) | −2.61039 | + | 1.50711i | −0.112857 | + | 0.0651580i | ||||
\(536\) | 9.44926 | − | 5.45554i | 0.408146 | − | 0.235643i | ||||
\(537\) | −21.9379 | + | 11.6264i | −0.946690 | + | 0.501715i | ||||
\(538\) | 5.20379 | − | 3.00441i | 0.224351 | − | 0.129529i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.455560 | − | 1.03454i | −0.0196042 | − | 0.0445193i | ||||
\(541\) | −21.1242 | − | 36.5882i | −0.908201 | − | 1.57305i | −0.816562 | − | 0.577258i | \(-0.804123\pi\) |
−0.0916391 | − | 0.995792i | \(-0.529211\pi\) | |||||||
\(542\) | −18.8849 | −0.811176 | ||||||||
\(543\) | −7.09074 | − | 4.44419i | −0.304293 | − | 0.190719i | ||||
\(544\) | − | 8.50145i | − | 0.364497i | ||||||
\(545\) | 0.995095 | − | 1.72356i | 0.0426252 | − | 0.0738290i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.92349 | − | 11.9918i | −0.296027 | − | 0.512734i | 0.679196 | − | 0.733957i | \(-0.262329\pi\) |
−0.975223 | + | 0.221223i | \(0.928995\pi\) | |||||||
\(548\) | 4.20741 | − | 2.42915i | 0.179732 | − | 0.103768i | ||||
\(549\) | 0.757480 | − | 10.4252i | 0.0323285 | − | 0.444938i | ||||
\(550\) | 12.7621 | − | 22.1046i | 0.544178 | − | 0.942544i | ||||
\(551\) | −0.0471929 | + | 0.0817405i | −0.00201049 | + | 0.00348226i | ||||
\(552\) | −0.133091 | + | 0.212347i | −0.00566473 | + | 0.00903810i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −25.7514 | − | 14.8676i | −1.09407 | − | 0.631664i | ||||
\(555\) | 8.45263 | + | 0.306673i | 0.358794 | + | 0.0130175i | ||||
\(556\) | 1.77317i | 0.0751992i | ||||||||
\(557\) | −27.2305 | − | 15.7215i | −1.15379 | − | 0.666143i | −0.203985 | − | 0.978974i | \(-0.565389\pi\) |
−0.949809 | + | 0.312831i | \(0.898723\pi\) | |||||||
\(558\) | 12.9482 | + | 26.7318i | 0.548140 | + | 1.13165i | ||||
\(559\) | 37.7296i | 1.59579i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 31.7493 | − | 16.8261i | 1.34046 | − | 0.710399i | ||||
\(562\) | 12.2662 | 0.517419 | ||||||||
\(563\) | −17.0829 | − | 29.5884i | −0.719956 | − | 1.24700i | −0.961017 | − | 0.276491i | \(-0.910828\pi\) |
0.241060 | − | 0.970510i | \(-0.422505\pi\) | |||||||
\(564\) | −0.249025 | + | 0.397320i | −0.0104858 | + | 0.0167302i | ||||
\(565\) | −7.59616 | − | 4.38565i | −0.319573 | − | 0.184506i | ||||
\(566\) | −2.02950 | −0.0853063 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.10981 | −0.382239 | ||||||||
\(569\) | 19.6652 | + | 11.3537i | 0.824407 | + | 0.475972i | 0.851934 | − | 0.523649i | \(-0.175430\pi\) |
−0.0275266 | + | 0.999621i | \(0.508763\pi\) | |||||||
\(570\) | 0.468602 | − | 0.747657i | 0.0196276 | − | 0.0313159i | ||||
\(571\) | 5.29931 | + | 9.17867i | 0.221769 | + | 0.384116i | 0.955345 | − | 0.295492i | \(-0.0954835\pi\) |
−0.733576 | + | 0.679607i | \(0.762150\pi\) | |||||||
\(572\) | −3.16293 | −0.132249 | ||||||||
\(573\) | −4.80872 | + | 2.54846i | −0.200887 | + | 0.106464i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.245051i | 0.0102193i | ||||||||
\(576\) | 8.61308 | + | 17.7819i | 0.358878 | + | 0.740914i | ||||
\(577\) | 12.6222 | + | 7.28745i | 0.525471 | + | 0.303381i | 0.739170 | − | 0.673519i | \(-0.235218\pi\) |
−0.213699 | + | 0.976899i | \(0.568551\pi\) | |||||||
\(578\) | − | 18.3304i | − | 0.762444i | ||||||
\(579\) | −10.4031 | − | 0.377438i | −0.432337 | − | 0.0156858i | ||||
\(580\) | −0.0408971 | − | 0.0236120i | −0.00169816 | − | 0.000980434i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.99148 | + | 3.17741i | −0.0825494 | + | 0.131708i | ||||
\(583\) | 14.3436 | − | 24.8438i | 0.594050 | − | 1.02893i | ||||
\(584\) | 10.5838 | − | 18.3318i | 0.437963 | − | 0.758574i | ||||
\(585\) | 0.495106 | − | 6.81416i | 0.0204701 | − | 0.281731i | ||||
\(586\) | 27.8035 | − | 16.0523i | 1.14855 | − | 0.663116i | ||||
\(587\) | 15.0927 | + | 26.1414i | 0.622944 | + | 1.07897i | 0.988935 | + | 0.148352i | \(0.0473969\pi\) |
−0.365991 | + | 0.930619i | \(0.619270\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.42539 | + | 2.46884i | −0.0587321 | + | 0.101727i | ||||
\(590\) | 3.66068i | 0.150708i | ||||||||
\(591\) | 20.6789 | + | 12.9607i | 0.850618 | + | 0.533134i | ||||
\(592\) | 28.2105 | 1.15945 | ||||||||
\(593\) | −15.2911 | − | 26.4850i | −0.627930 | − | 1.08761i | −0.987966 | − | 0.154669i | \(-0.950569\pi\) |
0.360036 | − | 0.932938i | \(-0.382764\pi\) | |||||||
\(594\) | 17.8247 | − | 24.3245i | 0.731357 | − | 0.998045i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.11400 | − | 1.79787i | 0.127554 | − | 0.0736435i | ||||
\(597\) | 12.0916 | − | 6.40815i | 0.494875 | − | 0.262268i | ||||
\(598\) | 0.213883 | − | 0.123485i | 0.00874633 | − | 0.00504970i | ||||
\(599\) | 2.33872 | − | 1.35026i | 0.0955573 | − | 0.0551701i | −0.451460 | − | 0.892291i | \(-0.649097\pi\) |
0.547017 | + | 0.837121i | \(0.315763\pi\) | |||||||
\(600\) | 16.7611 | + | 10.5052i | 0.684271 | + | 0.428874i | ||||
\(601\) | 21.0197 | − | 12.1357i | 0.857411 | − | 0.495026i | −0.00573343 | − | 0.999984i | \(-0.501825\pi\) |
0.863144 | + | 0.504957i | \(0.168492\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.07717 | − | 10.4311i | 0.288205 | − | 0.424786i | ||||
\(604\) | 0.736739 | + | 1.27607i | 0.0299775 | + | 0.0519225i | ||||
\(605\) | −2.92512 | −0.118923 | ||||||||
\(606\) | −37.0278 | + | 19.6235i | −1.50415 | + | 0.797151i | ||||
\(607\) | 21.4181i | 0.869334i | 0.900591 | + | 0.434667i | \(0.143134\pi\) | ||||
−0.900591 | + | 0.434667i | \(0.856866\pi\) | |||||||
\(608\) | 0.342391 | − | 0.593039i | 0.0138858 | − | 0.0240509i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.04115 | + | 3.53537i | 0.0826437 | + | 0.143143i | ||||
\(611\) | −2.45439 | + | 1.41705i | −0.0992942 | + | 0.0573275i | ||||
\(612\) | −1.97936 | − | 4.08645i | −0.0800111 | − | 0.165185i | ||||
\(613\) | −2.95306 | + | 5.11485i | −0.119273 | + | 0.206587i | −0.919480 | − | 0.393137i | \(-0.871390\pi\) |
0.800207 | + | 0.599724i | \(0.204723\pi\) | |||||||
\(614\) | 9.97404 | − | 17.2756i | 0.402520 | − | 0.697185i | ||||
\(615\) | 4.76696 | + | 8.99481i | 0.192222 | + | 0.362706i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.19246 | − | 0.688465i | −0.0480065 | − | 0.0277166i | 0.475805 | − | 0.879551i | \(-0.342157\pi\) |
−0.523811 | + | 0.851834i | \(0.675490\pi\) | |||||||
\(618\) | −20.6573 | − | 38.9785i | −0.830960 | − | 1.56794i | ||||
\(619\) | − | 33.8233i | − | 1.35947i | −0.733457 | − | 0.679736i | \(-0.762094\pi\) | ||
0.733457 | − | 0.679736i | \(-0.237906\pi\) | |||||||
\(620\) | −1.23523 | − | 0.713163i | −0.0496082 | − | 0.0286413i | ||||
\(621\) | −0.0314369 | + | 0.287810i | −0.00126152 | + | 0.0115494i | ||||
\(622\) | − | 31.0133i | − | 1.24352i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.826204 | − | 22.7721i | 0.0330746 | − | 0.911615i | ||||
\(625\) | 16.3326 | 0.653305 | ||||||||
\(626\) | −12.4654 | − | 21.5907i | −0.498218 | − | 0.862938i | ||||
\(627\) | 2.89241 | + | 0.104941i | 0.115512 | + | 0.00419093i | ||||
\(628\) | 1.93969 | + | 1.11988i | 0.0774022 | + | 0.0446882i | ||||
\(629\) | 33.9749 | 1.35467 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.0205 | −0.996049 | −0.498024 | − | 0.867163i | \(-0.665941\pi\) | ||||
−0.498024 | + | 0.867163i | \(0.665941\pi\) | |||||||
\(632\) | −11.1594 | − | 6.44287i | −0.443896 | − | 0.256283i | ||||
\(633\) | −4.18222 | − | 7.89146i | −0.166228 | − | 0.313657i | ||||
\(634\) | 7.07171 | + | 12.2486i | 0.280853 | + | 0.486452i | ||||
\(635\) | 2.06119 | 0.0817958 | ||||||||
\(636\) | −3.07160 | − | 1.92516i | −0.121797 | − | 0.0763374i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 1.25982i | − | 0.0498768i | ||||||
\(639\) | −9.47173 | + | 4.58785i | −0.374696 | + | 0.181493i | ||||
\(640\) | −8.79916 | − | 5.08020i | −0.347817 | − | 0.200812i | ||||
\(641\) | − | 10.6830i | − | 0.421952i | −0.977491 | − | 0.210976i | \(-0.932336\pi\) | ||
0.977491 | − | 0.210976i | \(-0.0676642\pi\) | |||||||
\(642\) | −5.39634 | + | 8.60990i | −0.212977 | + | 0.339805i | ||||
\(643\) | 38.1128 | + | 22.0044i | 1.50302 | + | 0.867771i | 0.999994 | + | 0.00350106i | \(0.00111442\pi\) |
0.503029 | + | 0.864270i | \(0.332219\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.2627 | + | 0.626313i | 0.679716 | + | 0.0246610i | ||||
\(646\) | 1.77216 | − | 3.06946i | 0.0697246 | − | 0.120766i | ||||
\(647\) | −23.5043 | + | 40.7107i | −0.924050 | + | 1.60050i | −0.130968 | + | 0.991387i | \(0.541808\pi\) |
−0.793082 | + | 0.609115i | \(0.791525\pi\) | |||||||
\(648\) | 18.3381 | + | 14.4885i | 0.720390 | + | 0.569163i | ||||
\(649\) | −10.3989 | + | 6.00380i | −0.408192 | + | 0.235670i | ||||
\(650\) | −9.74704 | − | 16.8824i | −0.382310 | − | 0.662181i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.61287 | + | 2.79357i | −0.0631648 | + | 0.109405i | ||||
\(653\) | − | 33.9388i | − | 1.32813i | −0.747677 | − | 0.664063i | \(-0.768831\pi\) | ||
0.747677 | − | 0.664063i | \(-0.231169\pi\) | |||||||
\(654\) | 0.243257 | − | 6.70473i | 0.00951209 | − | 0.262176i | ||||
\(655\) | 6.39029 | 0.249689 | ||||||||
\(656\) | 16.9765 | + | 29.4041i | 0.662820 | + | 1.14804i | ||||
\(657\) | 1.77216 | − | 24.3903i | 0.0691384 | − | 0.951554i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.36652 | + | 0.788962i | −0.0532322 | + | 0.0307336i | −0.526380 | − | 0.850249i | \(-0.676451\pi\) |
0.473148 | + | 0.880983i | \(0.343118\pi\) | |||||||
\(660\) | −0.0525049 | + | 1.44716i | −0.00204375 | + | 0.0563305i | ||||
\(661\) | −2.08470 | + | 1.20360i | −0.0810854 | + | 0.0468147i | −0.539994 | − | 0.841669i | \(-0.681574\pi\) |
0.458909 | + | 0.888483i | \(0.348240\pi\) | |||||||
\(662\) | −37.7215 | + | 21.7785i | −1.46609 | + | 0.846446i | ||||
\(663\) | 0.995026 | − | 27.4253i | 0.0386436 | − | 1.06511i | ||||
\(664\) | 19.3868 | − | 11.1930i | 0.752354 | − | 0.434372i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 25.6616 | − | 12.4298i | 0.994366 | − | 0.481644i | ||||
\(667\) | 0.00604760 | + | 0.0104747i | 0.000234164 | + | 0.000405584i | ||||
\(668\) | 4.70062 | 0.181873 | ||||||||
\(669\) | −0.275429 | + | 7.59146i | −0.0106487 | + | 0.293503i | ||||
\(670\) | 4.92299i | 0.190192i | ||||||||
\(671\) | −6.69529 | + | 11.5966i | −0.258469 | + | 0.447681i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.1767 | + | 21.0906i | 0.469377 | + | 0.812984i | 0.999387 | − | 0.0350069i | \(-0.0111453\pi\) |
−0.530010 | + | 0.847991i | \(0.677812\pi\) | |||||||
\(674\) | −16.3788 | + | 9.45629i | −0.630887 | + | 0.364243i | ||||
\(675\) | 22.7176 | + | 2.48140i | 0.874403 | + | 0.0955090i | ||||
\(676\) | 0.614668 | − | 1.06464i | 0.0236411 | − | 0.0409476i | ||||
\(677\) | 4.83847 | − | 8.38048i | 0.185958 | − | 0.322088i | −0.757941 | − | 0.652323i | \(-0.773795\pi\) |
0.943899 | + | 0.330235i | \(0.107128\pi\) | |||||||
\(678\) | −29.5495 | − | 1.07210i | −1.13484 | − | 0.0411736i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −9.41873 | − | 5.43791i | −0.361192 | − | 0.208534i | ||||
\(681\) | −8.89850 | + | 14.1976i | −0.340991 | + | 0.544053i | ||||
\(682\) | − | 38.0509i | − | 1.45704i | ||||||
\(683\) | 18.6341 | + | 10.7584i | 0.713012 | + | 0.411658i | 0.812175 | − | 0.583413i | \(-0.198283\pi\) |
−0.0991632 | + | 0.995071i | \(0.531617\pi\) | |||||||
\(684\) | 0.0265042 | − | 0.364778i | 0.00101341 | − | 0.0139476i | ||||
\(685\) | − | 13.4437i | − | 0.513659i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.9930 | + | 8.14349i | 0.495714 | + | 0.310694i | ||||
\(688\) | 57.6139 | 2.19651 | ||||||||
\(689\) | −10.9549 | − | 18.9744i | −0.417348 | − | 0.722868i | ||||
\(690\) | −0.0529487 | − | 0.0999092i | −0.00201572 | − | 0.00380348i | ||||
\(691\) | 25.4980 | + | 14.7213i | 0.969989 | + | 0.560023i | 0.899233 | − | 0.437470i | \(-0.144126\pi\) |
0.0707559 | + | 0.997494i | \(0.477459\pi\) | |||||||
\(692\) | −0.480244 | −0.0182561 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 43.3730 | 1.64642 | ||||||||
\(695\) | 4.24929 | + | 2.45333i | 0.161185 | + | 0.0930602i | ||||
\(696\) | 0.975715 | + | 0.0354003i | 0.0369844 | + | 0.00134184i | ||||
\(697\) | 20.4454 | + | 35.4124i | 0.774423 | + | 1.34134i | ||||
\(698\) | −19.3297 | −0.731641 | ||||||||
\(699\) | 0.809354 | − | 22.3077i | 0.0306126 | − | 0.843754i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 40.4325i | − | 1.52712i | −0.645740 | − | 0.763558i | \(-0.723451\pi\) | ||
0.645740 | − | 0.763558i | \(-0.276549\pi\) | |||||||
\(702\) | −9.28202 | − | 21.0786i | −0.350327 | − | 0.795561i | ||||
\(703\) | 2.37000 | + | 1.36832i | 0.0893863 | + | 0.0516072i | ||||
\(704\) | − | 25.3114i | − | 0.953958i | ||||||
\(705\) | 0.607607 | + | 1.14650i | 0.0228838 | + | 0.0431796i | ||||
\(706\) | 35.3077 | + | 20.3849i | 1.32882 | + | 0.767197i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.710525 | + | 1.34070i | 0.0267032 | + | 0.0503864i | ||||
\(709\) | 7.95114 | − | 13.7718i | 0.298611 | − | 0.517210i | −0.677207 | − | 0.735792i | \(-0.736810\pi\) |
0.975818 | + | 0.218582i | \(0.0701433\pi\) | |||||||
\(710\) | 2.05514 | − | 3.55960i | 0.0771280 | − | 0.133590i | ||||
\(711\) | −14.8474 | − | 1.07879i | −0.556823 | − | 0.0404579i | ||||
\(712\) | −35.1743 | + | 20.3079i | −1.31821 | + | 0.761070i | ||||
\(713\) | 0.182658 | + | 0.316373i | 0.00684061 | + | 0.0118483i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.37619 | + | 7.57978i | −0.163660 | + | 0.283468i | ||||
\(716\) | − | 4.01923i | − | 0.150206i | ||||||
\(717\) | 7.39420 | − | 3.91869i | 0.276141 | − | 0.146346i | ||||
\(718\) | −42.3143 | −1.57916 | ||||||||
\(719\) | 13.0488 | + | 22.6012i | 0.486638 | + | 0.842883i | 0.999882 | − | 0.0153605i | \(-0.00488959\pi\) |
−0.513244 | + | 0.858243i | \(0.671556\pi\) | |||||||
\(720\) | −10.4054 | − | 0.756037i | −0.387785 | − | 0.0281758i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −24.6006 | + | 14.2032i | −0.915539 | + | 0.528587i | ||||
\(723\) | 14.7255 | + | 9.22936i | 0.547647 | + | 0.343243i | ||||
\(724\) | 1.17319 | − | 0.677340i | 0.0436011 | − | 0.0251731i | ||||
\(725\) | 0.826800 | − | 0.477353i | 0.0307066 | − | 0.0177285i | ||||
\(726\) | −8.71294 | + | 4.61757i | −0.323367 | + | 0.171374i | ||||
\(727\) | −3.74533 | + | 2.16237i | −0.138907 | + | 0.0801977i | −0.567843 | − | 0.823137i | \(-0.692222\pi\) |
0.428936 | + | 0.903335i | \(0.358889\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.3633 | + | 5.82876i | 0.976420 | + | 0.215880i | ||||
\(730\) | 4.77535 | + | 8.27115i | 0.176744 | + | 0.306129i | ||||
\(731\) | 69.3864 | 2.56635 | ||||||||
\(732\) | 1.43376 | + | 0.898624i | 0.0529933 | + | 0.0332141i | ||||
\(733\) | − | 42.3174i | − | 1.56303i | −0.623886 | − | 0.781515i | \(-0.714447\pi\) | ||
0.623886 | − | 0.781515i | \(-0.285553\pi\) | |||||||
\(734\) | −25.2475 | + | 43.7299i | −0.931901 | + | 1.61410i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0438762 | − | 0.0759958i | −0.00161730 | − | 0.00280124i | ||||
\(737\) | −13.9847 | + | 8.07409i | −0.515135 | + | 0.297413i | ||||
\(738\) | 28.3983 | + | 19.2674i | 1.04535 | + | 0.709242i | ||||
\(739\) | 1.62120 | − | 2.80801i | 0.0596369 | − | 0.103294i | −0.834666 | − | 0.550757i | \(-0.814339\pi\) |
0.894302 | + | 0.447463i | \(0.147672\pi\) | |||||||
\(740\) | −0.684610 | + | 1.18578i | −0.0251668 | + | 0.0435901i | ||||
\(741\) | 1.17395 | − | 1.87304i | 0.0431261 | − | 0.0688079i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.41770 | + | 3.12791i | 0.198756 | + | 0.114752i | 0.596075 | − | 0.802929i | \(-0.296726\pi\) |
−0.397319 | + | 0.917681i | \(0.630059\pi\) | |||||||
\(744\) | 29.4700 | + | 1.06921i | 1.08042 | + | 0.0391992i | ||||
\(745\) | − | 9.95001i | − | 0.364540i | ||||||
\(746\) | −10.4205 | − | 6.01626i | −0.381520 | − | 0.220271i | ||||
\(747\) | 14.5201 | − | 21.4012i | 0.531261 | − | 0.783028i | ||||
\(748\) | 5.81678i | 0.212682i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −16.8516 | + | 8.93082i | −0.615334 | + | 0.326107i | ||||
\(751\) | −18.9063 | −0.689900 | −0.344950 | − | 0.938621i | \(-0.612104\pi\) | ||||
−0.344950 | + | 0.938621i | \(0.612104\pi\) | |||||||
\(752\) | 2.16386 | + | 3.74791i | 0.0789078 | + | 0.136672i | ||||
\(753\) | 7.34220 | − | 11.7145i | 0.267565 | − | 0.426901i | ||||
\(754\) | −0.833277 | − | 0.481093i | −0.0303462 | − | 0.0175204i | ||||
\(755\) | 4.07736 | 0.148390 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.7873 | −1.48244 | −0.741220 | − | 0.671262i | \(-0.765752\pi\) | ||||
−0.741220 | + | 0.671262i | \(0.765752\pi\) | |||||||
\(758\) | 5.08353 | + | 2.93498i | 0.184642 | + | 0.106603i | ||||
\(759\) | 0.196972 | − | 0.314270i | 0.00714964 | − | 0.0114073i | ||||
\(760\) | −0.438017 | − | 0.758668i | −0.0158886 | − | 0.0275198i | ||||
\(761\) | 42.6212 | 1.54502 | 0.772508 | − | 0.635005i | \(-0.219002\pi\) | ||||
0.772508 | + | 0.635005i | \(0.219002\pi\) | |||||||
\(762\) | 6.13958 | − | 3.25378i | 0.222413 | − | 0.117872i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 0.881003i | − | 0.0318736i | ||||||
\(765\) | −12.5315 | − | 0.910522i | −0.453079 | − | 0.0329200i | ||||
\(766\) | −16.5866 | − | 9.57627i | −0.599298 | − | 0.346005i | ||||
\(767\) | 9.17078i | 0.331138i | ||||||||
\(768\) | −11.4295 | − | 0.414680i | −0.412428 | − | 0.0149635i | ||||
\(769\) | 0.932209 | + | 0.538211i | 0.0336163 | + | 0.0194084i | 0.516714 | − | 0.856158i | \(-0.327155\pi\) |
−0.483098 | + | 0.875566i | \(0.660488\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.46729 | − | 3.93658i | 0.0888573 | − | 0.141772i | ||||
\(772\) | 0.842584 | − | 1.45940i | 0.0303253 | − | 0.0525249i | ||||
\(773\) | −2.96855 | + | 5.14169i | −0.106771 | + | 0.184934i | −0.914461 | − | 0.404675i | \(-0.867385\pi\) |
0.807689 | + | 0.589609i | \(0.200718\pi\) | |||||||
\(774\) | 52.4082 | − | 25.3851i | 1.88377 | − | 0.912449i | ||||
\(775\) | 24.9722 | − | 14.4177i | 0.897028 | − | 0.517899i | ||||
\(776\) | 1.86150 | + | 3.22421i | 0.0668240 | + | 0.115742i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.5248 | − | 26.8898i | 0.556592 | − | 0.964046i | ||||
\(779\) | 3.29370i | 0.118009i | ||||||||
\(780\) | 0.937137 | + | 0.587360i | 0.0335549 | + | 0.0210309i | ||||
\(781\) | 13.4824 | 0.482437 | ||||||||
\(782\) | −0.227095 | − | 0.393341i | −0.00812091 | − | 0.0140658i | ||||
\(783\) | 1.03231 | − | 0.454579i | 0.0368917 | − | 0.0162453i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.36746 | − | 3.09891i | 0.191573 | − | 0.110605i | ||||
\(786\) | 19.0345 | − | 10.0877i | 0.678938 | − | 0.359815i | ||||
\(787\) | 7.65434 | − | 4.41923i | 0.272848 | − | 0.157529i | −0.357333 | − | 0.933977i | \(-0.616314\pi\) |
0.630181 | + | 0.776448i | \(0.282981\pi\) | |||||||
\(788\) | −3.42140 | + | 1.97535i | −0.121882 | + | 0.0703688i | ||||
\(789\) | 34.3948 | + | 21.5573i | 1.22449 | + | 0.767461i | ||||
\(790\) | 5.03502 | − | 2.90697i | 0.179138 | − | 0.103425i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −13.0515 | − | 26.9452i | −0.463766 | − | 0.957457i | ||||
\(793\) | 5.11351 | + | 8.85687i | 0.181586 | + | 0.314517i | ||||
\(794\) | −22.6065 | −0.802275 | ||||||||
\(795\) | −8.86334 | + | 4.69728i | −0.314350 | + | 0.166595i | ||||
\(796\) | 2.21529i | 0.0785190i | ||||||||
\(797\) | −19.0123 | + | 32.9303i | −0.673450 | + | 1.16645i | 0.303469 | + | 0.952841i | \(0.401855\pi\) |
−0.976919 | + | 0.213609i | \(0.931478\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.60601 | + | 4.51374i | 0.0921940 | + | 0.159685i | ||||
\(800\) | −5.99855 | + | 3.46326i | −0.212081 | + | 0.122445i | ||||
\(801\) | −26.3443 | + | 38.8290i | −0.930831 | + | 1.37196i | ||||
\(802\) | −7.78939 | + | 13.4916i | −0.275053 | + | 0.476406i | ||||
\(803\) | −15.6639 | + | 27.1307i | −0.552767 | + | 0.957421i | ||||
\(804\) | 0.955536 | + | 1.80301i | 0.0336992 | + | 0.0635872i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −25.1678 | − | 14.5307i | −0.886499 | − | 0.511821i | ||||
\(807\) | −3.22733 | − | 6.08967i | −0.113607 | − | 0.214366i | ||||
\(808\) | 41.6054i | 1.46367i | ||||||||
\(809\) | 14.6570 | + | 8.46222i | 0.515312 | + | 0.297516i | 0.735015 | − | 0.678051i | \(-0.237175\pi\) |
−0.219702 | + | 0.975567i | \(0.570509\pi\) | |||||||
\(810\) | −9.79832 | + | 3.89696i | −0.344278 | + | 0.136925i | ||||
\(811\) | − | 26.9840i | − | 0.947536i | −0.880650 | − | 0.473768i | \(-0.842894\pi\) | ||
0.880650 | − | 0.473768i | \(-0.157106\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.785360 | + | 21.6464i | −0.0275438 | + | 0.759172i | ||||
\(814\) | −36.5275 | −1.28029 | ||||||||
\(815\) | 4.46308 | + | 7.73028i | 0.156335 | + | 0.270780i | ||||
\(816\) | −41.8790 | − | 1.51943i | −1.46606 | − | 0.0531906i | ||||
\(817\) | 4.84021 | + | 2.79450i | 0.169338 | + | 0.0977671i | ||||
\(818\) | 27.9668 | 0.977836 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.64793 | −0.0575484 | ||||||||
\(821\) | 27.7572 | + | 16.0256i | 0.968732 | + | 0.559297i | 0.898849 | − | 0.438258i | \(-0.144404\pi\) |
0.0698823 | + | 0.997555i | \(0.477738\pi\) | |||||||
\(822\) | −21.2222 | − | 40.0443i | −0.740209 | − | 1.39671i | ||||
\(823\) | −10.3974 | − | 18.0089i | −0.362431 | − | 0.627749i | 0.625929 | − | 0.779880i | \(-0.284720\pi\) |
−0.988360 | + | 0.152131i | \(0.951387\pi\) | |||||||
\(824\) | −43.7973 | −1.52575 | ||||||||
\(825\) | −24.8062 | − | 15.5475i | −0.863641 | − | 0.541296i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 34.0792i | 1.18505i | 0.805552 | + | 0.592525i | \(0.201869\pi\) | ||||
−0.805552 | + | 0.592525i | \(0.798131\pi\) | |||||||
\(828\) | −0.0387841 | − | 0.0263139i | −0.00134784 | − | 0.000914470i | ||||
\(829\) | 29.3229 | + | 16.9296i | 1.01843 | + | 0.587988i | 0.913648 | − | 0.406507i | \(-0.133253\pi\) |
0.104778 | + | 0.994496i | \(0.466587\pi\) | |||||||
\(830\) | 10.1004i | 0.350589i | ||||||||
\(831\) | −18.1126 | + | 28.8987i | −0.628318 | + | 1.00248i | ||||
\(832\) | −16.7416 | − | 9.66575i | −0.580410 | − | 0.335100i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 16.5300 | + | 0.599731i | 0.572387 | + | 0.0207670i | ||||
\(835\) | 6.50371 | − | 11.2648i | 0.225070 | − | 0.389833i | ||||
\(836\) | −0.234267 | + | 0.405763i | −0.00810231 | + | 0.0140336i | ||||
\(837\) | 31.1792 | − | 13.7299i | 1.07771 | − | 0.474573i | ||||
\(838\) | −16.6788 | + | 9.62953i | −0.576161 | + | 0.332647i | ||||
\(839\) | −11.7633 | − | 20.3747i | −0.406115 | − | 0.703412i | 0.588335 | − | 0.808617i | \(-0.299784\pi\) |
−0.994451 | + | 0.105205i | \(0.966450\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.4764 | + | 25.0739i | −0.499188 | + | 0.864618i | ||||
\(842\) | 20.5008i | 0.706506i | ||||||||
\(843\) | 0.510112 | − | 14.0599i | 0.0175692 | − | 0.484248i | ||||
\(844\) | 1.44579 | 0.0497661 | ||||||||
\(845\) | −1.70089 | − | 2.94603i | −0.0585124 | − | 0.101347i | ||||
\(846\) | 3.61971 | + | 2.45586i | 0.124448 | + | 0.0844343i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −28.9743 | + | 16.7283i | −0.994983 | + | 0.574454i | ||||
\(849\) | −0.0844003 | + | 2.32627i | −0.00289661 | + | 0.0798374i | ||||
\(850\) | −31.0474 | + | 17.9252i | −1.06492 | + | 0.614831i | ||||
\(851\) | 0.303707 | − | 0.175345i | 0.0104109 | − | 0.00601076i | ||||
\(852\) | 0.0617717 | − | 1.70257i | 0.00211627 | − | 0.0583292i | ||||
\(853\) | −39.7270 | + | 22.9364i | −1.36023 | + | 0.785328i | −0.989654 | − | 0.143475i | \(-0.954172\pi\) |
−0.370574 | + | 0.928803i | \(0.620839\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.837497 | − | 0.568217i | −0.0286418 | − | 0.0194326i | ||||
\(856\) | 5.04414 | + | 8.73670i | 0.172405 | + | 0.298614i | ||||
\(857\) | −18.2455 | −0.623253 | −0.311627 | − | 0.950205i | \(-0.600874\pi\) | ||||
−0.311627 | + | 0.950205i | \(0.600874\pi\) | |||||||
\(858\) | −1.06978 | + | 29.4858i | −0.0365218 | + | 1.00663i | ||||
\(859\) | − | 5.81666i | − | 0.198462i | −0.995064 | − | 0.0992309i | \(-0.968362\pi\) | ||
0.995064 | − | 0.0992309i | \(-0.0316382\pi\) | |||||||
\(860\) | −1.39817 | + | 2.42170i | −0.0476771 | + | 0.0825792i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.2950 | + | 47.2763i | 0.929671 | + | 1.61024i | ||||
\(863\) | −27.7060 | + | 15.9961i | −0.943123 | + | 0.544513i | −0.890938 | − | 0.454125i | \(-0.849952\pi\) |
−0.0521854 | + | 0.998637i | \(0.516619\pi\) | |||||||
\(864\) | −7.48953 | + | 3.29804i | −0.254799 | + | 0.112202i | ||||
\(865\) | −0.664458 | + | 1.15087i | −0.0225922 | + | 0.0391309i | ||||
\(866\) | 24.9230 | − | 43.1679i | 0.846918 | − | 1.46690i | ||||
\(867\) | −21.0108 | − | 0.762301i | −0.713564 | − | 0.0258891i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 16.5157 | + | 9.53533i | 0.560256 | + | 0.323464i | ||||
\(870\) | −0.233950 | + | 0.373269i | −0.00793165 | + | 0.0126550i | ||||
\(871\) | 12.3332i | 0.417893i | ||||||||
\(872\) | −5.76857 | − | 3.33048i | −0.195348 | − | 0.112784i | ||||
\(873\) | 3.55922 | + | 2.41482i | 0.120461 | + | 0.0817294i | ||||
\(874\) | − | 0.0365846i | − | 0.00123749i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 3.35434 | + | 2.10237i | 0.113333 | + | 0.0710324i | ||||
\(877\) | −48.3898 | −1.63401 | −0.817004 | − | 0.576632i | \(-0.804367\pi\) | ||||
−0.817004 | + | 0.576632i | \(0.804367\pi\) | |||||||
\(878\) | −23.0756 | − | 39.9681i | −0.778763 | − | 1.34886i | ||||
\(879\) | −17.2434 | − | 32.5366i | −0.581604 | − | 1.09743i | ||||
\(880\) | 11.5745 | + | 6.68253i | 0.390176 | + | 0.225268i | ||||
\(881\) | −26.6822 | −0.898946 | −0.449473 | − | 0.893294i | \(-0.648388\pi\) | ||||
−0.449473 | + | 0.893294i | \(0.648388\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35.0484 | 1.17947 | 0.589737 | − | 0.807595i | \(-0.299231\pi\) | ||||
0.589737 | + | 0.807595i | \(0.299231\pi\) | |||||||
\(884\) | 3.84736 | + | 2.22128i | 0.129401 | + | 0.0747096i | ||||
\(885\) | 4.19597 | + | 0.152235i | 0.141046 | + | 0.00511734i | ||||
\(886\) | −15.6315 | − | 27.0745i | −0.525149 | − | 0.909585i | ||||
\(887\) | −12.9676 | −0.435410 | −0.217705 | − | 0.976015i | \(-0.569857\pi\) | ||||
−0.217705 | + | 0.976015i | \(0.569857\pi\) | |||||||
\(888\) | 1.02640 | − | 28.2901i | 0.0344438 | − | 0.949353i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 18.3255i | − | 0.614273i | ||||||
\(891\) | −27.1401 | − | 21.4428i | −0.909228 | − | 0.718359i | ||||
\(892\) | −1.06497 | − | 0.614862i | −0.0356579 | − | 0.0205871i | ||||
\(893\) | 0.419822i | 0.0140488i | ||||||||
\(894\) | −15.7070 | − | 29.6377i | −0.525321 | − | 0.991231i | ||||
\(895\) | −9.63184 | − | 5.56095i | −0.321957 | − | 0.185882i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.132648 | − | 0.250294i | −0.00442898 | − | 0.00835708i | ||||
\(898\) | 4.83414 | − | 8.37298i | 0.161317 | − | 0.279410i | ||||
\(899\) | 0.711627 | − | 1.23257i | 0.0237341 | − | 0.0411086i | ||||
\(900\) | −2.07702 | + | 3.06133i | −0.0692341 | + | 0.102044i | ||||
\(901\) | −34.8948 | + | 20.1465i | −1.16251 | + | 0.671178i | ||||
\(902\) | −21.9815 | − | 38.0730i | −0.731902 | − | 1.26769i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −14.6783 | + | 25.4236i | −0.488193 | + | 0.845576i | ||||
\(905\) | − | 3.74863i | − | 0.124609i | ||||||
\(906\) | 12.1451 | − | 6.43649i | 0.403493 | − | 0.213838i | ||||
\(907\) | −9.12613 | −0.303028 | −0.151514 | − | 0.988455i | \(-0.548415\pi\) | ||||
−0.151514 | + | 0.988455i | \(0.548415\pi\) | |||||||
\(908\) | −1.35622 | − | 2.34904i | −0.0450077 | − | 0.0779557i | ||||
\(909\) | 20.9531 | + | 43.2583i | 0.694972 | + | 1.43479i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 41.5720 | − | 24.0016i | 1.37734 | − | 0.795209i | 0.385503 | − | 0.922707i | \(-0.374028\pi\) |
0.991839 | + | 0.127498i | \(0.0406947\pi\) | |||||||
\(912\) | −2.86017 | − | 1.79264i | −0.0947098 | − | 0.0593604i | ||||
\(913\) | −28.6921 | + | 16.5654i | −0.949571 | + | 0.548235i | ||||
\(914\) | 4.11533 | − | 2.37599i | 0.136123 | − | 0.0785906i | ||||
\(915\) | 4.13722 | − | 2.19260i | 0.136772 | − | 0.0724850i | ||||
\(916\) | −2.14973 | + | 1.24115i | −0.0710292 | + | 0.0410087i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −38.7645 | + | 17.0701i | −1.27942 | + | 0.563396i | ||||
\(919\) | 19.8096 | + | 34.3113i | 0.653459 | + | 1.13182i | 0.982278 | + | 0.187432i | \(0.0600163\pi\) |
−0.328818 | + | 0.944393i | \(0.606650\pi\) | |||||||
\(920\) | −0.112261 | −0.00370112 | ||||||||
\(921\) | −19.3869 | − | 12.1510i | −0.638821 | − | 0.400388i | ||||
\(922\) | − | 22.4770i | − | 0.740241i | ||||||
\(923\) | 5.14856 | − | 8.91757i | 0.169467 | − | 0.293526i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.8405 | − | 23.9724i | −0.455072 | − | 0.788208i | ||||
\(926\) | 34.9480 | − | 20.1772i | 1.14846 | − | 0.663065i | ||||
\(927\) | −45.5373 | + | 22.0570i | −1.49564 | + | 0.724447i | ||||
\(928\) | −0.170939 | + | 0.296076i | −0.00561136 | + | 0.00971915i | ||||
\(929\) | 11.7897 | − | 20.4204i | 0.386809 | − | 0.669973i | −0.605209 | − | 0.796066i | \(-0.706911\pi\) |
0.992018 | + | 0.126093i | \(0.0402439\pi\) | |||||||
\(930\) | −7.06609 | + | 11.2740i | −0.231706 | + | 0.369689i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.12944 | + | 1.80679i | 0.102508 | + | 0.0591832i | ||||
\(933\) | −35.5483 | − | 1.28974i | −1.16380 | − | 0.0422243i | ||||
\(934\) | 37.4403i | 1.22509i | ||||||||
\(935\) | 13.9396 | + | 8.04801i | 0.455872 | + | 0.263198i | ||||
\(936\) | −22.8063 | − | 1.65707i | −0.745447 | − | 0.0541630i | ||||
\(937\) | 52.5144i | 1.71557i | 0.514007 | + | 0.857786i | \(0.328160\pi\) | ||||
−0.514007 | + | 0.857786i | \(0.671840\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −25.2662 | + | 13.3903i | −0.824533 | + | 0.436976i | ||||
\(940\) | −0.210049 | −0.00685105 | ||||||||
\(941\) | 24.5713 | + | 42.5587i | 0.801000 | + | 1.38737i | 0.918958 | + | 0.394354i | \(0.129032\pi\) |
−0.117958 | + | 0.993019i | \(0.537635\pi\) | |||||||
\(942\) | 11.0959 | − | 17.7036i | 0.361525 | − | 0.576815i | ||||
\(943\) | 0.365528 | + | 0.211038i | 0.0119032 | + | 0.00687234i | ||||
\(944\) | 14.0040 | 0.455791 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −74.5995 | −2.42544 | ||||||||
\(947\) | 8.04907 | + | 4.64713i | 0.261560 | + | 0.151012i | 0.625046 | − | 0.780588i | \(-0.285080\pi\) |
−0.363486 | + | 0.931600i | \(0.618414\pi\) | |||||||
\(948\) | 1.27981 | − | 2.04194i | 0.0415662 | − | 0.0663191i | ||||
\(949\) | 11.9633 | + | 20.7210i | 0.388344 | + | 0.672632i | ||||
\(950\) | −2.88772 | −0.0936899 | ||||||||
\(951\) | 14.3337 | − | 7.59641i | 0.464803 | − | 0.246330i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 40.3761i | − | 1.30791i | −0.756534 | − | 0.653955i | \(-0.773109\pi\) | ||
0.756534 | − | 0.653955i | \(-0.226891\pi\) | |||||||
\(954\) | −18.9858 | + | 27.9832i | −0.614686 | + | 0.905989i | ||||
\(955\) | −2.11127 | − | 1.21894i | −0.0683191 | − | 0.0394440i | ||||
\(956\) | 1.35469i | 0.0438137i | ||||||||
\(957\) | −1.44404 | − | 0.0523918i | −0.0466792 | − | 0.00169359i | ||||
\(958\) | −16.3827 | − | 9.45854i | −0.529300 | − | 0.305592i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −4.70034 | + | 7.49943i | −0.151703 | + | 0.242043i | ||||
\(961\) | 5.99358 | − | 10.3812i | 0.193341 | − | 0.334877i | ||||
\(962\) | −13.9489 | + | 24.1602i | −0.449731 | + | 0.778957i | ||||
\(963\) | 9.64448 | + | 6.54349i | 0.310789 | + | 0.210861i | ||||
\(964\) | −2.43638 | + | 1.40665i | −0.0784706 | + | 0.0453050i | ||||
\(965\) | −2.33157 | − | 4.03840i | −0.0750560 | − | 0.130001i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.78620 | − | 15.2181i | 0.282545 | − | 0.489383i | −0.689466 | − | 0.724318i | \(-0.742155\pi\) |
0.972011 | + | 0.234936i | \(0.0754879\pi\) | |||||||
\(968\) | 9.79009i | 0.314665i | ||||||||
\(969\) | −3.44461 | − | 2.15894i | −0.110657 | − | 0.0693552i | ||||
\(970\) | −1.67979 | −0.0539348 | ||||||||
\(971\) | 20.1321 | + | 34.8697i | 0.646068 | + | 1.11902i | 0.984054 | + | 0.177872i | \(0.0569212\pi\) |
−0.337985 | + | 0.941151i | \(0.609745\pi\) | |||||||
\(972\) | −2.83217 | + | 3.32905i | −0.0908420 | + | 0.106779i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.43986 | − | 2.56336i | 0.142262 | − | 0.0821353i | ||||
\(975\) | −19.7564 | + | 10.4702i | −0.632711 | + | 0.335316i | ||||
\(976\) | 13.5246 | − | 7.80845i | 0.432913 | − | 0.249942i | ||||
\(977\) | −22.9591 | + | 13.2555i | −0.734527 | + | 0.424080i | −0.820076 | − | 0.572254i | \(-0.806069\pi\) |
0.0855487 | + | 0.996334i | \(0.472736\pi\) | |||||||
\(978\) | 25.4969 | + | 15.9805i | 0.815302 | + | 0.510999i | ||||
\(979\) | 52.0573 | − | 30.0553i | 1.66376 | − | 0.960572i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.67503 | − | 0.557655i | −0.245045 | − | 0.0178046i | ||||
\(982\) | 0.680195 | + | 1.17813i | 0.0217059 | + | 0.0375957i | ||||
\(983\) | 38.2714 | 1.22067 | 0.610334 | − | 0.792144i | \(-0.291035\pi\) | ||||
0.610334 | + | 0.792144i | \(0.291035\pi\) | |||||||
\(984\) | 30.1047 | − | 15.9545i | 0.959703 | − | 0.508612i | ||||
\(985\) | 10.9322i | 0.348330i | ||||||||
\(986\) | −0.884752 | + | 1.53243i | −0.0281762 | + | 0.0488027i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.178921 | + | 0.309901i | 0.00569225 | + | 0.00985926i | ||||
\(989\) | 0.620255 | − | 0.358105i | 0.0197230 | − | 0.0113871i | ||||
\(990\) | 13.4731 | + | 0.978931i | 0.428202 | + | 0.0311125i | ||||
\(991\) | 30.4509 | − | 52.7425i | 0.967305 | − | 1.67542i | 0.264016 | − | 0.964518i | \(-0.414953\pi\) |
0.703289 | − | 0.710904i | \(-0.251714\pi\) | |||||||
\(992\) | −5.16295 | + | 8.94250i | −0.163924 | + | 0.283925i | ||||
\(993\) | 23.3944 | + | 44.1431i | 0.742399 | + | 1.40084i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.30881 | + | 3.06504i | 0.168301 | + | 0.0971684i | ||||
\(996\) | 1.96045 | + | 3.69919i | 0.0621192 | + | 0.117213i | ||||
\(997\) | − | 14.4115i | − | 0.456415i | −0.973612 | − | 0.228208i | \(-0.926713\pi\) | ||
0.973612 | − | 0.228208i | \(-0.0732865\pi\) | |||||||
\(998\) | 28.5996 | + | 16.5120i | 0.905306 | + | 0.522679i | ||||
\(999\) | −13.1802 | − | 29.9309i | −0.417002 | − | 0.946973i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))