Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(143,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\), degree \(12\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 143.7 | ||
Character | \(\chi\) | \(=\) | 950.143 |
Dual form | 950.2.bb.e.857.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.573576 | − | 0.819152i | 0.405580 | − | 0.579228i | ||||
\(3\) | −0.0418747 | + | 0.478630i | −0.0241763 | + | 0.276337i | 0.974478 | + | 0.224482i | \(0.0720689\pi\) |
−0.998655 | + | 0.0518551i | \(0.983487\pi\) | |||||||
\(4\) | −0.342020 | − | 0.939693i | −0.171010 | − | 0.469846i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.368052 | + | 0.308832i | 0.150257 | + | 0.126080i | ||||
\(7\) | 0.971585 | + | 3.62600i | 0.367224 | + | 1.37050i | 0.864380 | + | 0.502839i | \(0.167711\pi\) |
−0.497156 | + | 0.867661i | \(0.665622\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | 2.72709 | + | 0.480860i | 0.909030 | + | 0.160287i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.49403 | − | 4.31978i | −0.751977 | − | 1.30246i | −0.946863 | − | 0.321637i | \(-0.895767\pi\) |
0.194886 | − | 0.980826i | \(-0.437566\pi\) | |||||||
\(12\) | 0.464087 | − | 0.124352i | 0.133970 | − | 0.0358972i | ||||
\(13\) | −1.33531 | + | 0.116824i | −0.370347 | + | 0.0324012i | −0.270811 | − | 0.962633i | \(-0.587292\pi\) |
−0.0995369 | + | 0.995034i | \(0.531736\pi\) | |||||||
\(14\) | 3.52753 | + | 1.28391i | 0.942771 | + | 0.343141i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | 3.85053 | + | 2.69617i | 0.933891 | + | 0.653917i | 0.938207 | − | 0.346073i | \(-0.112485\pi\) |
−0.00431668 | + | 0.999991i | \(0.501374\pi\) | |||||||
\(18\) | 1.95809 | − | 1.95809i | 0.461527 | − | 0.461527i | ||||
\(19\) | 3.89880 | + | 1.94919i | 0.894446 | + | 0.447176i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.77620 | + | 0.313191i | −0.387598 | + | 0.0683440i | ||||
\(22\) | −4.96907 | − | 0.434737i | −1.05941 | − | 0.0926863i | ||||
\(23\) | 2.34802 | + | 1.09490i | 0.489597 | + | 0.228303i | 0.651708 | − | 0.758470i | \(-0.274053\pi\) |
−0.162111 | + | 0.986772i | \(0.551830\pi\) | |||||||
\(24\) | 0.164326 | − | 0.451483i | 0.0335430 | − | 0.0921585i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.670204 | + | 1.16083i | −0.131438 | + | 0.227657i | ||||
\(27\) | −0.717405 | + | 2.67739i | −0.138065 | + | 0.515264i | ||||
\(28\) | 3.07503 | − | 2.15316i | 0.581125 | − | 0.406908i | ||||
\(29\) | −0.303332 | + | 1.72028i | −0.0563273 | + | 0.319448i | −0.999932 | − | 0.0116251i | \(-0.996300\pi\) |
0.943605 | + | 0.331073i | \(0.107411\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.63635 | + | 0.944744i | 0.293896 | + | 0.169681i | 0.639698 | − | 0.768627i | \(-0.279060\pi\) |
−0.345801 | + | 0.938308i | \(0.612393\pi\) | |||||||
\(32\) | 0.0871557 | + | 0.996195i | 0.0154071 | + | 0.176104i | ||||
\(33\) | 2.17201 | − | 1.01283i | 0.378099 | − | 0.176310i | ||||
\(34\) | 4.41715 | − | 1.60771i | 0.757534 | − | 0.275720i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.480860 | − | 2.72709i | −0.0801433 | − | 0.454515i | ||||
\(37\) | 5.79340 | + | 5.79340i | 0.952429 | + | 0.952429i | 0.998919 | − | 0.0464896i | \(-0.0148034\pi\) |
−0.0464896 | + | 0.998919i | \(0.514803\pi\) | |||||||
\(38\) | 3.83295 | − | 2.07570i | 0.621786 | − | 0.336723i | ||||
\(39\) | − | 0.644009i | − | 0.103124i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.01261 | + | 7.16555i | 0.939012 | + | 1.11907i | 0.992712 | + | 0.120513i | \(0.0384541\pi\) |
−0.0537001 | + | 0.998557i | \(0.517101\pi\) | |||||||
\(42\) | −0.762233 | + | 1.63461i | −0.117615 | + | 0.252227i | ||||
\(43\) | 0.825480 | + | 1.77025i | 0.125885 | + | 0.269960i | 0.959142 | − | 0.282925i | \(-0.0913047\pi\) |
−0.833258 | + | 0.552885i | \(0.813527\pi\) | |||||||
\(44\) | −3.20626 | + | 3.82107i | −0.483362 | + | 0.576048i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.24366 | − | 1.29538i | 0.330810 | − | 0.190993i | ||||
\(47\) | −3.92548 | − | 5.60617i | −0.572590 | − | 0.817743i | 0.423518 | − | 0.905888i | \(-0.360795\pi\) |
−0.996108 | + | 0.0881446i | \(0.971906\pi\) | |||||||
\(48\) | −0.275579 | − | 0.393568i | −0.0397764 | − | 0.0568067i | ||||
\(49\) | −6.14174 | + | 3.54594i | −0.877392 | + | 0.506562i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.45171 | + | 1.73008i | −0.203280 | + | 0.242259i | ||||
\(52\) | 0.566481 | + | 1.21482i | 0.0785567 | + | 0.168465i | ||||
\(53\) | 4.44595 | − | 9.53438i | 0.610699 | − | 1.30965i | −0.321228 | − | 0.947002i | \(-0.604096\pi\) |
0.931927 | − | 0.362646i | \(-0.118127\pi\) | |||||||
\(54\) | 1.78170 | + | 2.12335i | 0.242459 | + | 0.288952i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | − | 3.75391i | − | 0.501638i | ||||||
\(57\) | −1.09620 | + | 1.78446i | −0.145196 | + | 0.236357i | ||||
\(58\) | 1.23519 | + | 1.23519i | 0.162188 | + | 0.162188i | ||||
\(59\) | −1.59029 | − | 9.01900i | −0.207039 | − | 1.17417i | −0.894199 | − | 0.447669i | \(-0.852254\pi\) |
0.687161 | − | 0.726505i | \(-0.258857\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.01691 | + | 0.734095i | −0.258239 | + | 0.0939912i | −0.467895 | − | 0.883784i | \(-0.654988\pi\) |
0.209657 | + | 0.977775i | \(0.432765\pi\) | |||||||
\(62\) | 1.71246 | − | 0.798532i | 0.217482 | − | 0.101414i | ||||
\(63\) | 0.906001 | + | 10.3556i | 0.114145 | + | 1.30469i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.416156 | − | 2.36014i | 0.0512253 | − | 0.290513i | ||||
\(67\) | −0.207335 | + | 0.145177i | −0.0253300 | + | 0.0177363i | −0.586173 | − | 0.810186i | \(-0.699366\pi\) |
0.560843 | + | 0.827922i | \(0.310477\pi\) | |||||||
\(68\) | 1.21661 | − | 4.54046i | 0.147536 | − | 0.550612i | ||||
\(69\) | −0.622375 | + | 1.07799i | −0.0749252 | + | 0.129774i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.08948 | − | 11.2357i | 0.485332 | − | 1.33344i | −0.419534 | − | 0.907740i | \(-0.637806\pi\) |
0.904865 | − | 0.425698i | \(-0.139971\pi\) | |||||||
\(72\) | −2.50971 | − | 1.17030i | −0.295772 | − | 0.137921i | ||||
\(73\) | −10.4597 | − | 0.915101i | −1.22421 | − | 0.107104i | −0.543343 | − | 0.839511i | \(-0.682841\pi\) |
−0.680867 | + | 0.732407i | \(0.738397\pi\) | |||||||
\(74\) | 8.06863 | − | 1.42272i | 0.937960 | − | 0.165388i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.498175 | − | 4.33034i | 0.0571446 | − | 0.496724i | ||||
\(77\) | 13.2404 | − | 13.2404i | 1.50888 | − | 1.50888i | ||||
\(78\) | −0.527542 | − | 0.369389i | −0.0597323 | − | 0.0418250i | ||||
\(79\) | 7.35519 | − | 6.17174i | 0.827523 | − | 0.694375i | −0.127197 | − | 0.991877i | \(-0.540598\pi\) |
0.954721 | + | 0.297503i | \(0.0961537\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.55504 | + | 2.38584i | 0.728338 | + | 0.265093i | ||||
\(82\) | 9.31836 | − | 0.815251i | 1.02904 | − | 0.0900294i | ||||
\(83\) | −14.4402 | + | 3.86923i | −1.58501 | + | 0.424703i | −0.940473 | − | 0.339868i | \(-0.889618\pi\) |
−0.644539 | + | 0.764571i | \(0.722951\pi\) | |||||||
\(84\) | 0.901799 | + | 1.56196i | 0.0983943 | + | 0.170424i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.92358 | + | 0.339179i | 0.207425 | + | 0.0365746i | ||||
\(87\) | −0.810675 | − | 0.217220i | −0.0869134 | − | 0.0232884i | ||||
\(88\) | 1.29100 | + | 4.81809i | 0.137621 | + | 0.513610i | ||||
\(89\) | 10.2071 | + | 8.56479i | 1.08195 | + | 0.907866i | 0.996081 | − | 0.0884402i | \(-0.0281882\pi\) |
0.0858712 | + | 0.996306i | \(0.472633\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.72097 | − | 4.72832i | −0.180406 | − | 0.495663i | ||||
\(92\) | 0.225799 | − | 2.58090i | 0.0235412 | − | 0.269077i | ||||
\(93\) | −0.520704 | + | 0.743642i | −0.0539945 | + | 0.0771121i | ||||
\(94\) | −6.84386 | −0.705891 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.480458 | −0.0490365 | ||||||||
\(97\) | −8.07300 | + | 11.5294i | −0.819689 | + | 1.17064i | 0.163229 | + | 0.986588i | \(0.447809\pi\) |
−0.982917 | + | 0.184048i | \(0.941080\pi\) | |||||||
\(98\) | −0.618097 | + | 7.06489i | −0.0624373 | + | 0.713661i | ||||
\(99\) | −4.72423 | − | 12.9797i | −0.474803 | − | 1.30451i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.61490 | − | 7.22876i | −0.857214 | − | 0.719288i | 0.104152 | − | 0.994561i | \(-0.466787\pi\) |
−0.961366 | + | 0.275273i | \(0.911232\pi\) | |||||||
\(102\) | 0.584531 | + | 2.18150i | 0.0578772 | + | 0.216001i | ||||
\(103\) | −2.30555 | − | 0.617770i | −0.227173 | − | 0.0608707i | 0.143437 | − | 0.989659i | \(-0.454185\pi\) |
−0.370610 | + | 0.928789i | \(0.620851\pi\) | |||||||
\(104\) | 1.32004 | + | 0.232759i | 0.129441 | + | 0.0228239i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.26001 | − | 9.11061i | −0.510898 | − | 0.884901i | ||||
\(107\) | −6.81684 | + | 1.82657i | −0.659009 | + | 0.176581i | −0.572799 | − | 0.819696i | \(-0.694142\pi\) |
−0.0862101 | + | 0.996277i | \(0.527476\pi\) | |||||||
\(108\) | 2.76129 | − | 0.241582i | 0.265705 | − | 0.0232462i | ||||
\(109\) | −2.80009 | − | 1.01915i | −0.268200 | − | 0.0976167i | 0.204420 | − | 0.978883i | \(-0.434469\pi\) |
−0.472620 | + | 0.881267i | \(0.656691\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.01549 | + | 2.53030i | −0.286218 | + | 0.240165i | ||||
\(112\) | −3.07503 | − | 2.15316i | −0.290563 | − | 0.203454i | ||||
\(113\) | 6.03088 | − | 6.03088i | 0.567338 | − | 0.567338i | −0.364044 | − | 0.931382i | \(-0.618604\pi\) |
0.931382 | + | 0.364044i | \(0.118604\pi\) | |||||||
\(114\) | 0.832987 | + | 1.92148i | 0.0780164 | + | 0.179963i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.72028 | − | 0.303332i | 0.159724 | − | 0.0281636i | ||||
\(117\) | −3.69768 | − | 0.323505i | −0.341850 | − | 0.0299080i | ||||
\(118\) | −8.30009 | − | 3.87040i | −0.764085 | − | 0.356299i | ||||
\(119\) | −6.03521 | + | 16.5816i | −0.553246 | + | 1.52003i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.94033 | + | 12.0210i | −0.630939 | + | 1.09282i | ||||
\(122\) | −0.555516 | + | 2.07321i | −0.0502941 | + | 0.187700i | ||||
\(123\) | −3.68142 | + | 2.57776i | −0.331942 | + | 0.232429i | ||||
\(124\) | 0.328106 | − | 1.86078i | 0.0294648 | − | 0.167103i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 9.00250 | + | 5.19760i | 0.802006 | + | 0.463039i | ||||
\(127\) | −0.663010 | − | 7.57824i | −0.0588326 | − | 0.672460i | −0.967155 | − | 0.254188i | \(-0.918192\pi\) |
0.908322 | − | 0.418271i | \(-0.137364\pi\) | |||||||
\(128\) | 0.906308 | − | 0.422618i | 0.0801070 | − | 0.0373545i | ||||
\(129\) | −0.881860 | + | 0.320971i | −0.0776434 | + | 0.0282599i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.78830 | + | 10.1420i | 0.156245 | + | 0.886107i | 0.957639 | + | 0.287971i | \(0.0929807\pi\) |
−0.801394 | + | 0.598136i | \(0.795908\pi\) | |||||||
\(132\) | −1.69462 | − | 1.69462i | −0.147497 | − | 0.147497i | ||||
\(133\) | −3.27977 | + | 16.0309i | −0.284392 | + | 1.39005i | ||||
\(134\) | 0.253109i | 0.0218653i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.02151 | − | 3.60089i | −0.259092 | − | 0.308774i | ||||
\(137\) | −5.94775 | + | 12.7550i | −0.508150 | + | 1.08973i | 0.470159 | + | 0.882582i | \(0.344197\pi\) |
−0.978309 | + | 0.207150i | \(0.933581\pi\) | |||||||
\(138\) | 0.526054 | + | 1.12813i | 0.0447807 | + | 0.0960325i | ||||
\(139\) | −11.9222 | + | 14.2084i | −1.01123 | + | 1.20514i | −0.0326101 | + | 0.999468i | \(0.510382\pi\) |
−0.978621 | + | 0.205670i | \(0.934062\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.84765 | − | 1.64409i | 0.239816 | − | 0.138458i | ||||
\(142\) | −6.85816 | − | 9.79446i | −0.575524 | − | 0.821933i | ||||
\(143\) | 3.83494 | + | 5.47687i | 0.320694 | + | 0.457999i | ||||
\(144\) | −2.39816 | + | 1.38458i | −0.199847 | + | 0.115382i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.74902 | + | 8.04317i | −0.558553 | + | 0.665657i | ||||
\(147\) | −1.44001 | − | 3.08810i | −0.118770 | − | 0.254703i | ||||
\(148\) | 3.46256 | − | 7.42548i | 0.284620 | − | 0.610370i | ||||
\(149\) | −5.19534 | − | 6.19156i | −0.425618 | − | 0.507232i | 0.510034 | − | 0.860154i | \(-0.329633\pi\) |
−0.935653 | + | 0.352922i | \(0.885188\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 11.3814i | − | 0.926208i | −0.886304 | − | 0.463104i | \(-0.846736\pi\) | ||
0.886304 | − | 0.463104i | \(-0.153264\pi\) | |||||||
\(152\) | −3.26146 | − | 2.89186i | −0.264540 | − | 0.234561i | ||||
\(153\) | 9.20427 | + | 9.20427i | 0.744121 | + | 0.744121i | ||||
\(154\) | −3.25151 | − | 18.4402i | −0.262014 | − | 1.48596i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.605171 | + | 0.220264i | −0.0484524 | + | 0.0176352i | ||||
\(157\) | 2.27098 | − | 1.05898i | 0.181244 | − | 0.0845154i | −0.329878 | − | 0.944023i | \(-0.607008\pi\) |
0.511122 | + | 0.859508i | \(0.329230\pi\) | |||||||
\(158\) | −0.836827 | − | 9.56498i | −0.0665744 | − | 0.760949i | ||||
\(159\) | 4.37726 | + | 2.52721i | 0.347140 | + | 0.200421i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.68881 | + | 9.57773i | −0.133097 | + | 0.754831i | ||||
\(162\) | 5.71418 | − | 4.00111i | 0.448949 | − | 0.314357i | ||||
\(163\) | 3.42920 | − | 12.7979i | 0.268596 | − | 1.00241i | −0.691417 | − | 0.722456i | \(-0.743013\pi\) |
0.960013 | − | 0.279956i | \(-0.0903200\pi\) | |||||||
\(164\) | 4.67698 | − | 8.10076i | 0.365211 | − | 0.632563i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.11305 | + | 14.0480i | −0.396849 | + | 1.09033i | ||||
\(167\) | 9.96206 | + | 4.64539i | 0.770888 | + | 0.359471i | 0.767937 | − | 0.640525i | \(-0.221283\pi\) |
0.00295017 | + | 0.999996i | \(0.499061\pi\) | |||||||
\(168\) | 1.79673 | + | 0.157194i | 0.138621 | + | 0.0121278i | ||||
\(169\) | −11.0331 | + | 1.94543i | −0.848700 | + | 0.149649i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.69509 | + | 7.19040i | 0.741402 | + | 0.549864i | ||||
\(172\) | 1.38116 | − | 1.38116i | 0.105312 | − | 0.105312i | ||||
\(173\) | −14.4251 | − | 10.1006i | −1.09672 | − | 0.767934i | −0.122264 | − | 0.992498i | \(-0.539015\pi\) |
−0.974459 | + | 0.224563i | \(0.927904\pi\) | |||||||
\(174\) | −0.642920 | + | 0.539474i | −0.0487396 | + | 0.0408974i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.68724 | + | 1.70601i | 0.353314 | + | 0.128596i | ||||
\(177\) | 4.38336 | − | 0.383494i | 0.329473 | − | 0.0288252i | ||||
\(178\) | 12.8704 | − | 3.44862i | 0.964680 | − | 0.258485i | ||||
\(179\) | −9.94971 | − | 17.2334i | −0.743676 | − | 1.28808i | −0.950811 | − | 0.309772i | \(-0.899747\pi\) |
0.207135 | − | 0.978312i | \(-0.433586\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.23169 | + | 1.27514i | 0.537527 | + | 0.0947805i | 0.435820 | − | 0.900034i | \(-0.356458\pi\) |
0.101707 | + | 0.994814i | \(0.467570\pi\) | |||||||
\(182\) | −4.86032 | − | 1.30232i | −0.360271 | − | 0.0965343i | ||||
\(183\) | −0.266902 | − | 0.996092i | −0.0197300 | − | 0.0736333i | ||||
\(184\) | −1.98464 | − | 1.66531i | −0.146309 | − | 0.122768i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.310493 | + | 0.853071i | 0.0227664 | + | 0.0625502i | ||||
\(187\) | 2.04354 | − | 23.3578i | 0.149438 | − | 1.70809i | ||||
\(188\) | −3.92548 | + | 5.60617i | −0.286295 | + | 0.408872i | ||||
\(189\) | −10.4052 | −0.756870 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.96590 | 0.214605 | 0.107303 | − | 0.994226i | \(-0.465779\pi\) | ||||
0.107303 | + | 0.994226i | \(0.465779\pi\) | |||||||
\(192\) | −0.275579 | + | 0.393568i | −0.0198882 | + | 0.0284033i | ||||
\(193\) | 0.855286 | − | 9.77596i | 0.0615648 | − | 0.703689i | −0.901210 | − | 0.433383i | \(-0.857320\pi\) |
0.962774 | − | 0.270306i | \(-0.0871248\pi\) | |||||||
\(194\) | 4.81388 | + | 13.2260i | 0.345616 | + | 0.949573i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.43269 | + | 4.55857i | 0.388049 | + | 0.325612i | ||||
\(197\) | −2.39954 | − | 8.95519i | −0.170960 | − | 0.638031i | −0.997205 | − | 0.0747197i | \(-0.976194\pi\) |
0.826245 | − | 0.563311i | \(-0.190473\pi\) | |||||||
\(198\) | −13.3421 | − | 3.57499i | −0.948179 | − | 0.254064i | ||||
\(199\) | 9.86381 | + | 1.73926i | 0.699227 | + | 0.123293i | 0.511951 | − | 0.859015i | \(-0.328923\pi\) |
0.187276 | + | 0.982307i | \(0.440034\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.0608042 | − | 0.105316i | −0.00428879 | − | 0.00742841i | ||||
\(202\) | −10.8628 | + | 2.91067i | −0.764301 | + | 0.204794i | ||||
\(203\) | −6.53245 | + | 0.571515i | −0.458488 | + | 0.0401125i | ||||
\(204\) | 2.12225 | + | 0.772437i | 0.148587 | + | 0.0540814i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.82846 | + | 1.53426i | −0.127395 | + | 0.106897i | ||||
\(207\) | 5.87678 | + | 4.11497i | 0.408465 | + | 0.286010i | ||||
\(208\) | 0.947811 | − | 0.947811i | 0.0657189 | − | 0.0657189i | ||||
\(209\) | −1.30362 | − | 21.7033i | −0.0901732 | − | 1.50125i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.8211 | + | 4.20030i | −1.63991 | + | 0.289160i | −0.916133 | − | 0.400874i | \(-0.868706\pi\) |
−0.723776 | + | 0.690035i | \(0.757595\pi\) | |||||||
\(212\) | −10.4800 | − | 0.916881i | −0.719769 | − | 0.0629716i | ||||
\(213\) | 5.20651 | + | 2.42784i | 0.356744 | + | 0.166353i | ||||
\(214\) | −2.41374 | + | 6.63170i | −0.165000 | + | 0.453334i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.38592 | − | 2.40048i | 0.0942999 | − | 0.163332i | ||||
\(217\) | −1.83580 | + | 6.85129i | −0.124622 | + | 0.465096i | ||||
\(218\) | −2.44090 | + | 1.70914i | −0.165319 | + | 0.115757i | ||||
\(219\) | 0.875989 | − | 4.96798i | 0.0591939 | − | 0.335705i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.45662 | − | 3.15038i | −0.367052 | − | 0.211917i | ||||
\(222\) | 0.343084 | + | 3.92146i | 0.0230263 | + | 0.263191i | ||||
\(223\) | −1.50444 | + | 0.701532i | −0.100745 | + | 0.0469780i | −0.472337 | − | 0.881418i | \(-0.656590\pi\) |
0.371593 | + | 0.928396i | \(0.378812\pi\) | |||||||
\(224\) | −3.52753 | + | 1.28391i | −0.235693 | + | 0.0857851i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.48104 | − | 8.39938i | −0.0985171 | − | 0.558719i | ||||
\(227\) | −11.1061 | − | 11.1061i | −0.737139 | − | 0.737139i | 0.234885 | − | 0.972023i | \(-0.424529\pi\) |
−0.972023 | + | 0.234885i | \(0.924529\pi\) | |||||||
\(228\) | 2.05177 | + | 0.419773i | 0.135882 | + | 0.0278001i | ||||
\(229\) | 3.84236i | 0.253911i | 0.991908 | + | 0.126955i | \(0.0405205\pi\) | ||||
−0.991908 | + | 0.126955i | \(0.959480\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.78280 | + | 6.89167i | 0.380480 | + | 0.453439i | ||||
\(232\) | 0.738237 | − | 1.58315i | 0.0484676 | − | 0.103939i | ||||
\(233\) | 2.99274 | + | 6.41796i | 0.196061 | + | 0.420454i | 0.979619 | − | 0.200864i | \(-0.0643750\pi\) |
−0.783558 | + | 0.621319i | \(0.786597\pi\) | |||||||
\(234\) | −2.38590 | + | 2.84341i | −0.155971 | + | 0.185879i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −7.93118 | + | 4.57907i | −0.516276 | + | 0.298072i | ||||
\(237\) | 2.64598 | + | 3.77885i | 0.171875 | + | 0.245463i | ||||
\(238\) | 10.1212 | + | 14.4546i | 0.656059 | + | 0.936950i | ||||
\(239\) | −7.49094 | + | 4.32489i | −0.484548 | + | 0.279754i | −0.722310 | − | 0.691569i | \(-0.756920\pi\) |
0.237762 | + | 0.971324i | \(0.423586\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.2053 | − | 15.7374i | 0.850625 | − | 1.01374i | −0.149064 | − | 0.988828i | \(-0.547626\pi\) |
0.999690 | − | 0.0249084i | \(-0.00792942\pi\) | |||||||
\(242\) | 5.86622 | + | 12.5801i | 0.377095 | + | 0.808683i | ||||
\(243\) | −4.93071 | + | 10.5739i | −0.316305 | + | 0.678319i | ||||
\(244\) | 1.37965 | + | 1.64420i | 0.0883229 | + | 0.105259i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.49418i | 0.286539i | ||||||||
\(247\) | −5.43381 | − | 2.14730i | −0.345745 | − | 0.136629i | ||||
\(248\) | −1.33607 | − | 1.33607i | −0.0848405 | − | 0.0848405i | ||||
\(249\) | −1.24725 | − | 7.07351i | −0.0790413 | − | 0.448265i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.95128 | + | 0.710207i | −0.123163 | + | 0.0448278i | −0.402867 | − | 0.915259i | \(-0.631986\pi\) |
0.279703 | + | 0.960087i | \(0.409764\pi\) | |||||||
\(252\) | 9.42124 | − | 4.39320i | 0.593482 | − | 0.276745i | ||||
\(253\) | −1.12630 | − | 12.8737i | −0.0708098 | − | 0.809360i | ||||
\(254\) | −6.58801 | − | 3.80359i | −0.413369 | − | 0.238659i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 13.0723 | − | 9.15332i | 0.815427 | − | 0.570968i | −0.0897689 | − | 0.995963i | \(-0.528613\pi\) |
0.905196 | + | 0.424994i | \(0.139724\pi\) | |||||||
\(258\) | −0.242890 | + | 0.906478i | −0.0151217 | + | 0.0564349i | ||||
\(259\) | −15.3781 | + | 26.6357i | −0.955549 | + | 1.65506i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.65443 | + | 4.54550i | −0.102406 | + | 0.281359i | ||||
\(262\) | 9.33354 | + | 4.35230i | 0.576628 | + | 0.268886i | ||||
\(263\) | −6.43268 | − | 0.562787i | −0.396656 | − | 0.0347029i | −0.112917 | − | 0.993604i | \(-0.536019\pi\) |
−0.283739 | + | 0.958901i | \(0.591575\pi\) | |||||||
\(264\) | −2.36014 | + | 0.416156i | −0.145257 | + | 0.0256126i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 11.2505 | + | 11.8816i | 0.689814 | + | 0.728505i | ||||
\(267\) | −4.52678 | + | 4.52678i | −0.277035 | + | 0.277035i | ||||
\(268\) | 0.207335 | + | 0.145177i | 0.0126650 | + | 0.00886813i | ||||
\(269\) | 16.5823 | − | 13.9142i | 1.01104 | − | 0.848366i | 0.0225671 | − | 0.999745i | \(-0.492816\pi\) |
0.988476 | + | 0.151380i | \(0.0483716\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.3332 | − | 8.85654i | −1.47813 | − | 0.537997i | −0.527838 | − | 0.849345i | \(-0.676997\pi\) |
−0.950296 | + | 0.311348i | \(0.899219\pi\) | |||||||
\(272\) | −4.68274 | + | 0.409687i | −0.283933 | + | 0.0248409i | ||||
\(273\) | 2.33518 | − | 0.625709i | 0.141331 | − | 0.0378697i | ||||
\(274\) | 7.03679 | + | 12.1881i | 0.425108 | + | 0.736308i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.22584 | + | 0.216149i | 0.0737869 | + | 0.0130106i | ||||
\(277\) | 8.01321 | + | 2.14713i | 0.481467 | + | 0.129009i | 0.491386 | − | 0.870942i | \(-0.336491\pi\) |
−0.00991869 | + | 0.999951i | \(0.503157\pi\) | |||||||
\(278\) | 4.80050 | + | 17.9157i | 0.287915 | + | 1.07451i | ||||
\(279\) | 4.00817 | + | 3.36326i | 0.239963 | + | 0.201353i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.25824 | + | 22.6893i | 0.492645 | + | 1.35353i | 0.898251 | + | 0.439484i | \(0.144839\pi\) |
−0.405605 | + | 0.914048i | \(0.632939\pi\) | |||||||
\(282\) | 0.286584 | − | 3.27568i | 0.0170659 | − | 0.195064i | ||||
\(283\) | 5.09656 | − | 7.27864i | 0.302959 | − | 0.432670i | −0.638590 | − | 0.769547i | \(-0.720482\pi\) |
0.941549 | + | 0.336877i | \(0.109371\pi\) | |||||||
\(284\) | −11.9568 | −0.709507 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.68602 | 0.395353 | ||||||||
\(287\) | −20.1405 | + | 28.7637i | −1.18886 | + | 1.69787i | ||||
\(288\) | −0.241348 | + | 2.75862i | −0.0142216 | + | 0.162553i | ||||
\(289\) | 1.74291 | + | 4.78860i | 0.102524 | + | 0.281682i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −5.18027 | − | 4.34677i | −0.303673 | − | 0.254812i | ||||
\(292\) | 2.71750 | + | 10.1418i | 0.159030 | + | 0.593507i | ||||
\(293\) | 13.2971 | + | 3.56296i | 0.776827 | + | 0.208150i | 0.625385 | − | 0.780316i | \(-0.284942\pi\) |
0.151441 | + | 0.988466i | \(0.451608\pi\) | |||||||
\(294\) | −3.35558 | − | 0.591679i | −0.195701 | − | 0.0345074i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.09655 | − | 7.09544i | −0.238107 | − | 0.412414i | ||||
\(297\) | 13.3550 | − | 3.57845i | 0.774933 | − | 0.207643i | ||||
\(298\) | −8.05175 | + | 0.704437i | −0.466425 | + | 0.0408069i | ||||
\(299\) | −3.26324 | − | 1.18772i | −0.188718 | − | 0.0686878i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.61690 | + | 4.71314i | −0.323753 | + | 0.271661i | ||||
\(302\) | −9.32312 | − | 6.52812i | −0.536486 | − | 0.375651i | ||||
\(303\) | 3.82064 | − | 3.82064i | 0.219490 | − | 0.219490i | ||||
\(304\) | −4.23957 | + | 1.01293i | −0.243156 | + | 0.0580956i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 12.8190 | − | 2.26034i | 0.732816 | − | 0.129215i | ||||
\(307\) | −5.34855 | − | 0.467937i | −0.305258 | − | 0.0267066i | −0.0665022 | − | 0.997786i | \(-0.521184\pi\) |
−0.238756 | + | 0.971080i | \(0.576739\pi\) | |||||||
\(308\) | −16.9704 | − | 7.91341i | −0.966976 | − | 0.450908i | ||||
\(309\) | 0.392227 | − | 1.07764i | 0.0223130 | − | 0.0613045i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.24325 | − | 9.08157i | 0.297317 | − | 0.514969i | −0.678204 | − | 0.734874i | \(-0.737241\pi\) |
0.975521 | + | 0.219905i | \(0.0705748\pi\) | |||||||
\(312\) | −0.166682 | + | 0.622065i | −0.00943650 | + | 0.0352175i | ||||
\(313\) | −5.10972 | + | 3.57786i | −0.288818 | + | 0.202233i | −0.709002 | − | 0.705206i | \(-0.750854\pi\) |
0.420184 | + | 0.907439i | \(0.361966\pi\) | |||||||
\(314\) | 0.435119 | − | 2.46768i | 0.0245552 | − | 0.139259i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.31516 | − | 4.80076i | −0.467764 | − | 0.270064i | ||||
\(317\) | 1.13557 | + | 12.9797i | 0.0637802 | + | 0.729012i | 0.959004 | + | 0.283394i | \(0.0914604\pi\) |
−0.895223 | + | 0.445618i | \(0.852984\pi\) | |||||||
\(318\) | 4.58087 | − | 2.13609i | 0.256882 | − | 0.119786i | ||||
\(319\) | 8.18774 | − | 2.98010i | 0.458426 | − | 0.166853i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.588796 | − | 3.33923i | −0.0328634 | − | 0.186378i | ||||
\(322\) | 6.87696 | + | 6.87696i | 0.383238 | + | 0.383238i | ||||
\(323\) | 9.75709 | + | 18.0173i | 0.542899 | + | 1.00251i | ||||
\(324\) | − | 6.97573i | − | 0.387541i | ||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −8.51655 | − | 10.1496i | −0.471688 | − | 0.562136i | ||||
\(327\) | 0.605047 | − | 1.29753i | 0.0334592 | − | 0.0717535i | ||||
\(328\) | −3.95315 | − | 8.47756i | −0.218276 | − | 0.468095i | ||||
\(329\) | 16.5140 | − | 19.6807i | 0.910448 | − | 1.08503i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.6536 | + | 7.88293i | −0.750471 | + | 0.433285i | −0.825864 | − | 0.563869i | \(-0.809312\pi\) |
0.0753928 | + | 0.997154i | \(0.475979\pi\) | |||||||
\(332\) | 8.57471 | + | 12.2460i | 0.470598 | + | 0.672084i | ||||
\(333\) | 13.0133 | + | 18.5849i | 0.713125 | + | 1.01845i | ||||
\(334\) | 9.51928 | − | 5.49596i | 0.520872 | − | 0.300726i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.15933 | − | 1.38164i | 0.0632466 | − | 0.0753744i | ||||
\(337\) | −11.8506 | − | 25.4137i | −0.645544 | − | 1.38437i | −0.907812 | − | 0.419378i | \(-0.862248\pi\) |
0.262268 | − | 0.964995i | \(-0.415530\pi\) | |||||||
\(338\) | −4.73472 | + | 10.1536i | −0.257535 | + | 0.552285i | ||||
\(339\) | 2.63402 | + | 3.13910i | 0.143060 | + | 0.170492i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 9.42487i | − | 0.510385i | ||||||
\(342\) | 11.4509 | − | 3.81751i | 0.619194 | − | 0.206427i | ||||
\(343\) | −0.243870 | − | 0.243870i | −0.0131678 | − | 0.0131678i | ||||
\(344\) | −0.339179 | − | 1.92358i | −0.0182873 | − | 0.103712i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −16.5478 | + | 6.02292i | −0.889618 | + | 0.323794i | ||||
\(347\) | −1.77554 | + | 0.827948i | −0.0953160 | + | 0.0444466i | −0.469692 | − | 0.882831i | \(-0.655635\pi\) |
0.374376 | + | 0.927277i | \(0.377857\pi\) | |||||||
\(348\) | 0.0731474 | + | 0.836078i | 0.00392111 | + | 0.0448185i | ||||
\(349\) | 15.6149 | + | 9.01529i | 0.835848 | + | 0.482577i | 0.855851 | − | 0.517223i | \(-0.173034\pi\) |
−0.0200025 | + | 0.999800i | \(0.506367\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.645171 | − | 3.65895i | 0.0344367 | − | 0.195300i | ||||
\(352\) | 4.08597 | − | 2.86103i | 0.217783 | − | 0.152493i | ||||
\(353\) | −1.67238 | + | 6.24143i | −0.0890121 | + | 0.332198i | −0.996044 | − | 0.0888650i | \(-0.971676\pi\) |
0.907032 | + | 0.421063i | \(0.138343\pi\) | |||||||
\(354\) | 2.20005 | − | 3.81060i | 0.116931 | − | 0.202531i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 4.55723 | − | 12.5209i | 0.241533 | − | 0.663606i | ||||
\(357\) | −7.68372 | − | 3.58298i | −0.406665 | − | 0.189631i | ||||
\(358\) | −19.8237 | − | 1.73435i | −1.04771 | − | 0.0916632i | ||||
\(359\) | −19.3534 | + | 3.41253i | −1.02143 | + | 0.180106i | −0.659190 | − | 0.751977i | \(-0.729101\pi\) |
−0.362244 | + | 0.932083i | \(0.617989\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 11.4013 | + | 15.1990i | 0.600068 | + | 0.799949i | ||||
\(362\) | 5.19246 | − | 5.19246i | 0.272910 | − | 0.272910i | ||||
\(363\) | −5.46298 | − | 3.82522i | −0.286732 | − | 0.200772i | ||||
\(364\) | −3.85456 | + | 3.23436i | −0.202034 | + | 0.169527i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.969040 | − | 0.352702i | −0.0506525 | − | 0.0184360i | ||||
\(367\) | −14.0514 | + | 1.22934i | −0.733479 | + | 0.0641711i | −0.447774 | − | 0.894147i | \(-0.647783\pi\) |
−0.285704 | + | 0.958318i | \(0.592228\pi\) | |||||||
\(368\) | −2.50248 | + | 0.670538i | −0.130451 | + | 0.0349542i | ||||
\(369\) | 12.9513 | + | 22.4323i | 0.674218 | + | 1.16778i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 38.8913 | + | 6.85759i | 2.01914 | + | 0.356028i | ||||
\(372\) | 0.876887 | + | 0.234961i | 0.0454644 | + | 0.0121822i | ||||
\(373\) | −9.39261 | − | 35.0537i | −0.486331 | − | 1.81501i | −0.573993 | − | 0.818861i | \(-0.694606\pi\) |
0.0876618 | − | 0.996150i | \(-0.472061\pi\) | |||||||
\(374\) | −17.9614 | − | 15.0714i | −0.928763 | − | 0.779325i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.34074 | + | 6.43113i | 0.120714 | + | 0.331660i | ||||
\(377\) | 0.204071 | − | 2.33254i | 0.0105102 | − | 0.120132i | ||||
\(378\) | −5.96820 | + | 8.52348i | −0.306971 | + | 0.438400i | ||||
\(379\) | 8.38366 | 0.430640 | 0.215320 | − | 0.976544i | \(-0.430921\pi\) | ||||
0.215320 | + | 0.976544i | \(0.430921\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.65493 | 0.187248 | ||||||||
\(382\) | 1.70117 | − | 2.42952i | 0.0870395 | − | 0.124305i | ||||
\(383\) | 1.39172 | − | 15.9074i | 0.0711136 | − | 0.812832i | −0.873965 | − | 0.485989i | \(-0.838460\pi\) |
0.945079 | − | 0.326843i | \(-0.105985\pi\) | |||||||
\(384\) | 0.164326 | + | 0.451483i | 0.00838574 | + | 0.0230396i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −7.51743 | − | 6.30787i | −0.382627 | − | 0.321062i | ||||
\(387\) | 1.39992 | + | 5.22457i | 0.0711618 | + | 0.265580i | ||||
\(388\) | 13.5953 | + | 3.64284i | 0.690194 | + | 0.184937i | ||||
\(389\) | 27.1705 | + | 4.79090i | 1.37760 | + | 0.242908i | 0.812908 | − | 0.582392i | \(-0.197883\pi\) |
0.564693 | + | 0.825301i | \(0.308994\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.08910 | + | 10.5466i | 0.307939 | + | 0.533366i | ||||
\(392\) | 6.85022 | − | 1.83551i | 0.345989 | − | 0.0927074i | ||||
\(393\) | −4.92913 | + | 0.431243i | −0.248642 | + | 0.0217533i | ||||
\(394\) | −8.71198 | − | 3.17090i | −0.438903 | − | 0.159748i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −10.5812 | + | 8.87864i | −0.531723 | + | 0.446169i | ||||
\(397\) | 11.1433 | + | 7.80262i | 0.559266 | + | 0.391602i | 0.818754 | − | 0.574144i | \(-0.194665\pi\) |
−0.259489 | + | 0.965746i | \(0.583554\pi\) | |||||||
\(398\) | 7.08236 | − | 7.08236i | 0.355007 | − | 0.355007i | ||||
\(399\) | −7.53551 | − | 2.24108i | −0.377247 | − | 0.112194i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 23.9183 | − | 4.21744i | 1.19442 | − | 0.210609i | 0.459136 | − | 0.888366i | \(-0.348159\pi\) |
0.735286 | + | 0.677757i | \(0.237048\pi\) | |||||||
\(402\) | −0.121146 | − | 0.0105989i | −0.00604219 | − | 0.000528623i | ||||
\(403\) | −2.29539 | − | 1.07036i | −0.114342 | − | 0.0533184i | ||||
\(404\) | −3.84634 | + | 10.5677i | −0.191363 | + | 0.525764i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.27870 | + | 5.67888i | −0.162719 | + | 0.281838i | ||||
\(407\) | 10.5773 | − | 39.4751i | 0.524298 | − | 1.95671i | ||||
\(408\) | 1.85002 | − | 1.29540i | 0.0915895 | − | 0.0641317i | ||||
\(409\) | −1.91034 | + | 10.8341i | −0.0944600 | + | 0.535709i | 0.900451 | + | 0.434956i | \(0.143236\pi\) |
−0.994911 | + | 0.100753i | \(0.967875\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.85585 | − | 3.38088i | −0.288848 | − | 0.166766i | ||||
\(412\) | 0.208030 | + | 2.37780i | 0.0102489 | + | 0.117146i | ||||
\(413\) | 31.1578 | − | 14.5291i | 1.53318 | − | 0.714932i | ||||
\(414\) | 6.74157 | − | 2.45373i | 0.331330 | − | 0.120594i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.232759 | − | 1.32004i | −0.0114120 | − | 0.0647205i | ||||
\(417\) | −6.30131 | − | 6.30131i | −0.308576 | − | 0.308576i | ||||
\(418\) | −18.5260 | − | 11.3806i | −0.906138 | − | 0.556645i | ||||
\(419\) | − | 20.2401i | − | 0.988793i | −0.869237 | − | 0.494396i | \(-0.835389\pi\) | ||
0.869237 | − | 0.494396i | \(-0.164611\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.3645 | − | 21.8860i | −0.895032 | − | 1.06666i | −0.997411 | − | 0.0719127i | \(-0.977090\pi\) |
0.102378 | − | 0.994746i | \(-0.467355\pi\) | |||||||
\(422\) | −10.2225 | + | 21.9223i | −0.497624 | + | 1.06716i | ||||
\(423\) | −8.00936 | − | 17.1761i | −0.389428 | − | 0.835132i | ||||
\(424\) | −6.76214 | + | 8.05881i | −0.328399 | + | 0.391370i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 4.97510 | − | 2.87238i | 0.241044 | − | 0.139167i | ||||
\(427\) | −4.62143 | − | 6.60008i | −0.223647 | − | 0.319400i | ||||
\(428\) | 4.04791 | + | 5.78101i | 0.195663 | + | 0.279436i | ||||
\(429\) | −2.78198 | + | 1.60618i | −0.134315 | + | 0.0775469i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.0078 | + | 13.1186i | −0.530229 | + | 0.631903i | −0.962968 | − | 0.269617i | \(-0.913103\pi\) |
0.432738 | + | 0.901520i | \(0.357547\pi\) | |||||||
\(432\) | −1.17143 | − | 2.51214i | −0.0563604 | − | 0.120865i | ||||
\(433\) | 1.73279 | − | 3.71598i | 0.0832725 | − | 0.178578i | −0.860262 | − | 0.509851i | \(-0.829700\pi\) |
0.943535 | + | 0.331273i | \(0.107478\pi\) | |||||||
\(434\) | 4.55928 | + | 5.43354i | 0.218852 | + | 0.260818i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.97979i | 0.142706i | ||||||||
\(437\) | 7.02030 | + | 8.84556i | 0.335827 | + | 0.423140i | ||||
\(438\) | −3.56708 | − | 3.56708i | −0.170442 | − | 0.170442i | ||||
\(439\) | 3.06889 | + | 17.4045i | 0.146470 | + | 0.830673i | 0.966175 | + | 0.257887i | \(0.0830262\pi\) |
−0.819705 | + | 0.572786i | \(0.805863\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −18.4542 | + | 6.71677i | −0.878771 | + | 0.319846i | ||||
\(442\) | −5.71043 | + | 2.66282i | −0.271617 | + | 0.126657i | ||||
\(443\) | 0.839479 | + | 9.59529i | 0.0398849 | + | 0.455886i | 0.989708 | + | 0.143100i | \(0.0457069\pi\) |
−0.949823 | + | 0.312787i | \(0.898738\pi\) | |||||||
\(444\) | 3.40906 | + | 1.96822i | 0.161787 | + | 0.0934076i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.288250 | + | 1.63475i | −0.0136490 | + | 0.0774075i | ||||
\(447\) | 3.18102 | − | 2.22737i | 0.150457 | − | 0.105351i | ||||
\(448\) | −0.971585 | + | 3.62600i | −0.0459031 | + | 0.171313i | ||||
\(449\) | 10.4806 | − | 18.1529i | 0.494610 | − | 0.856689i | −0.505371 | − | 0.862902i | \(-0.668644\pi\) |
0.999981 | + | 0.00621314i | \(0.00197772\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.9580 | − | 43.8442i | 0.751432 | − | 2.06454i | ||||
\(452\) | −7.72986 | − | 3.60449i | −0.363582 | − | 0.169541i | ||||
\(453\) | 5.44749 | + | 0.476594i | 0.255945 | + | 0.0223923i | ||||
\(454\) | −15.4678 | + | 2.72739i | −0.725940 | + | 0.128003i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.52070 | − | 1.43994i | 0.0712134 | − | 0.0674312i | ||||
\(457\) | −23.9786 | + | 23.9786i | −1.12167 | + | 1.12167i | −0.130179 | + | 0.991491i | \(0.541555\pi\) |
−0.991491 | + | 0.130179i | \(0.958445\pi\) | |||||||
\(458\) | 3.14748 | + | 2.20389i | 0.147072 | + | 0.102981i | ||||
\(459\) | −9.98109 | + | 8.37513i | −0.465877 | + | 0.390917i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.5002 | + | 3.82175i | 0.489042 | + | 0.177997i | 0.574759 | − | 0.818323i | \(-0.305096\pi\) |
−0.0857169 | + | 0.996320i | \(0.527318\pi\) | |||||||
\(462\) | 8.96220 | − | 0.784091i | 0.416959 | − | 0.0364792i | ||||
\(463\) | 27.8891 | − | 7.47287i | 1.29612 | − | 0.347294i | 0.456137 | − | 0.889910i | \(-0.349233\pi\) |
0.839981 | + | 0.542616i | \(0.182566\pi\) | |||||||
\(464\) | −0.873409 | − | 1.51279i | −0.0405470 | − | 0.0702294i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.97385 | + | 1.22968i | 0.323057 | + | 0.0569637i | ||||
\(467\) | −14.8914 | − | 3.99015i | −0.689094 | − | 0.184642i | −0.102753 | − | 0.994707i | \(-0.532765\pi\) |
−0.586341 | + | 0.810065i | \(0.699432\pi\) | |||||||
\(468\) | 0.960685 | + | 3.58533i | 0.0444077 | + | 0.165732i | ||||
\(469\) | −0.727857 | − | 0.610745i | −0.0336093 | − | 0.0282016i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.411760 | + | 1.13130i | 0.0189729 | + | 0.0521277i | ||||
\(472\) | −0.798184 | + | 9.12329i | −0.0367394 | + | 0.419933i | ||||
\(473\) | 5.58831 | − | 7.98093i | 0.256951 | − | 0.366964i | ||||
\(474\) | 4.61312 | 0.211888 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 17.6458 | 0.808792 | ||||||||
\(477\) | 16.7092 | − | 23.8632i | 0.765063 | − | 1.09262i | ||||
\(478\) | −0.753879 | + | 8.61687i | −0.0344816 | + | 0.394127i | ||||
\(479\) | 3.53261 | + | 9.70577i | 0.161409 | + | 0.443468i | 0.993862 | − | 0.110628i | \(-0.0352863\pi\) |
−0.832453 | + | 0.554096i | \(0.813064\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.41278 | − | 7.05916i | −0.383590 | − | 0.321870i | ||||
\(482\) | −5.31711 | − | 19.8437i | −0.242188 | − | 0.903857i | ||||
\(483\) | −4.51347 | − | 1.20938i | −0.205370 | − | 0.0550287i | ||||
\(484\) | 13.6698 | + | 2.41035i | 0.621354 | + | 0.109561i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 5.83353 | + | 10.1040i | 0.264614 | + | 0.458325i | ||||
\(487\) | −19.9832 | + | 5.35450i | −0.905527 | + | 0.242635i | −0.681389 | − | 0.731922i | \(-0.738624\pi\) |
−0.224139 | + | 0.974557i | \(0.571957\pi\) | |||||||
\(488\) | 2.13818 | − | 0.187067i | 0.0967910 | − | 0.00846811i | ||||
\(489\) | 5.98188 | + | 2.17723i | 0.270510 | + | 0.0984575i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 27.5015 | − | 23.0765i | 1.24112 | − | 1.04143i | 0.243688 | − | 0.969854i | \(-0.421643\pi\) |
0.997435 | − | 0.0715726i | \(-0.0228018\pi\) | |||||||
\(492\) | 3.68142 | + | 2.57776i | 0.165971 | + | 0.116214i | ||||
\(493\) | −5.80615 | + | 5.80615i | −0.261496 | + | 0.261496i | ||||
\(494\) | −4.87567 | + | 3.21947i | −0.219367 | + | 0.144851i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.86078 | + | 0.328106i | −0.0835516 | + | 0.0147324i | ||||
\(497\) | 44.7141 | + | 3.91198i | 2.00570 | + | 0.175476i | ||||
\(498\) | −6.50967 | − | 3.03551i | −0.291705 | − | 0.136024i | ||||
\(499\) | 3.78694 | − | 10.4045i | 0.169527 | − | 0.465771i | −0.825614 | − | 0.564236i | \(-0.809171\pi\) |
0.995141 | + | 0.0984645i | \(0.0313931\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.64058 | + | 4.57361i | −0.117972 | + | 0.204334i | ||||
\(502\) | −0.537439 | + | 2.00575i | −0.0239871 | + | 0.0895210i | ||||
\(503\) | 25.1961 | − | 17.6425i | 1.12344 | − | 0.786640i | 0.144240 | − | 0.989543i | \(-0.453926\pi\) |
0.979199 | + | 0.202902i | \(0.0650374\pi\) | |||||||
\(504\) | 1.80511 | − | 10.2373i | 0.0804058 | − | 0.456004i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −11.1915 | − | 6.46142i | −0.497523 | − | 0.287245i | ||||
\(507\) | −0.469135 | − | 5.36223i | −0.0208350 | − | 0.238145i | ||||
\(508\) | −6.89445 | + | 3.21493i | −0.305892 | + | 0.142640i | ||||
\(509\) | 36.5051 | − | 13.2868i | 1.61806 | − | 0.588925i | 0.635048 | − | 0.772473i | \(-0.280980\pi\) |
0.983011 | + | 0.183548i | \(0.0587581\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.84428 | − | 38.8158i | −0.302773 | − | 1.71711i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −8.01577 | + | 9.04025i | −0.353905 | + | 0.399137i | ||||
\(514\) | − | 15.9583i | − | 0.703891i | ||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.603227 | + | 0.718898i | 0.0265556 | + | 0.0316477i | ||||
\(517\) | −14.4272 | + | 30.9391i | −0.634505 | + | 1.36070i | ||||
\(518\) | 12.9981 | + | 27.8746i | 0.571105 | + | 1.22474i | ||||
\(519\) | 5.43849 | − | 6.48134i | 0.238723 | − | 0.284499i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.3093 | + | 8.26150i | −0.626904 | + | 0.361943i | −0.779552 | − | 0.626338i | \(-0.784553\pi\) |
0.152648 | + | 0.988281i | \(0.451220\pi\) | |||||||
\(522\) | 2.77451 | + | 3.96242i | 0.121437 | + | 0.173430i | ||||
\(523\) | 4.58197 | + | 6.54373i | 0.200356 | + | 0.286137i | 0.906739 | − | 0.421692i | \(-0.138564\pi\) |
−0.706384 | + | 0.707829i | \(0.749675\pi\) | |||||||
\(524\) | 8.91869 | − | 5.14921i | 0.389615 | − | 0.224944i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.15064 | + | 4.94655i | −0.180977 | + | 0.215680i | ||||
\(527\) | 3.75361 | + | 8.04963i | 0.163510 | + | 0.350648i | ||||
\(528\) | −1.01283 | + | 2.17201i | −0.0440776 | + | 0.0945246i | ||||
\(529\) | −10.4697 | − | 12.4773i | −0.455205 | − | 0.542492i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 25.3603i | − | 1.10055i | ||||||
\(532\) | 16.1858 | − | 2.40090i | 0.701745 | − | 0.104092i | ||||
\(533\) | −8.86579 | − | 8.86579i | −0.384020 | − | 0.384020i | ||||
\(534\) | 1.11167 | + | 6.30458i | 0.0481065 | + | 0.272826i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.237845 | − | 0.0865685i | 0.0102733 | − | 0.00373919i | ||||
\(537\) | 8.66506 | − | 4.04058i | 0.373925 | − | 0.174364i | ||||
\(538\) | −1.88663 | − | 21.5643i | −0.0813386 | − | 0.929704i | ||||
\(539\) | 30.6353 | + | 17.6873i | 1.31956 | + | 0.761847i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.47824 | − | 8.38349i | 0.0635543 | − | 0.360434i | −0.936401 | − | 0.350933i | \(-0.885864\pi\) |
0.999955 | − | 0.00950131i | \(-0.00302441\pi\) | |||||||
\(542\) | −21.2118 | + | 14.8526i | −0.911124 | + | 0.637976i | ||||
\(543\) | −0.913145 | + | 3.40790i | −0.0391868 | + | 0.146247i | ||||
\(544\) | −2.35031 | + | 4.07086i | −0.100769 | + | 0.174537i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.826853 | − | 2.27176i | 0.0353860 | − | 0.0972223i | ||||
\(547\) | 32.4549 | + | 15.1340i | 1.38767 | + | 0.647082i | 0.965732 | − | 0.259542i | \(-0.0835716\pi\) |
0.421940 | + | 0.906624i | \(0.361349\pi\) | |||||||
\(548\) | 14.0200 | + | 1.22659i | 0.598905 | + | 0.0523974i | ||||
\(549\) | −5.85329 | + | 1.03209i | −0.249812 | + | 0.0440487i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.53579 | + | 6.11577i | −0.193231 | + | 0.260541i | ||||
\(552\) | 0.880171 | − | 0.880171i | 0.0374626 | − | 0.0374626i | ||||
\(553\) | 29.5249 | + | 20.6736i | 1.25553 | + | 0.879130i | ||||
\(554\) | 6.35501 | − | 5.33249i | 0.269999 | − | 0.226556i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.4292 | + | 6.34369i | 0.739161 | + | 0.269032i | ||||
\(557\) | −9.40447 | + | 0.822784i | −0.398480 | + | 0.0348625i | −0.284635 | − | 0.958636i | \(-0.591872\pi\) |
−0.113845 | + | 0.993498i | \(0.536317\pi\) | |||||||
\(558\) | 5.05401 | − | 1.35422i | 0.213953 | − | 0.0573286i | ||||
\(559\) | −1.30908 | − | 2.26739i | −0.0553680 | − | 0.0959003i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 11.0941 | + | 1.95620i | 0.468395 | + | 0.0825907i | ||||
\(562\) | 23.3227 | + | 6.24931i | 0.983811 | + | 0.263611i | ||||
\(563\) | 0.717612 | + | 2.67816i | 0.0302437 | + | 0.112871i | 0.979398 | − | 0.201941i | \(-0.0647250\pi\) |
−0.949154 | + | 0.314813i | \(0.898058\pi\) | |||||||
\(564\) | −2.51890 | − | 2.11361i | −0.106065 | − | 0.0889989i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −3.03904 | − | 8.34971i | −0.127741 | − | 0.350964i | ||||
\(567\) | −2.28229 | + | 26.0866i | −0.0958470 | + | 1.09554i | ||||
\(568\) | −6.85816 | + | 9.79446i | −0.287762 | + | 0.410966i | ||||
\(569\) | −5.49736 | −0.230461 | −0.115231 | − | 0.993339i | \(-0.536761\pi\) | ||||
−0.115231 | + | 0.993339i | \(0.536761\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.01384 | −0.167974 | −0.0839871 | − | 0.996467i | \(-0.526765\pi\) | ||||
−0.0839871 | + | 0.996467i | \(0.526765\pi\) | |||||||
\(572\) | 3.83494 | − | 5.47687i | 0.160347 | − | 0.228999i | ||||
\(573\) | −0.124196 | + | 1.41957i | −0.00518837 | + | 0.0593033i | ||||
\(574\) | 12.0097 | + | 32.9963i | 0.501274 | + | 1.37724i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 2.12130 | + | 1.77998i | 0.0883875 | + | 0.0741659i | ||||
\(577\) | −3.50041 | − | 13.0637i | −0.145724 | − | 0.543849i | −0.999722 | − | 0.0235733i | \(-0.992496\pi\) |
0.853998 | − | 0.520276i | \(-0.174171\pi\) | |||||||
\(578\) | 4.92228 | + | 1.31892i | 0.204740 | + | 0.0548599i | ||||
\(579\) | 4.64325 | + | 0.818730i | 0.192967 | + | 0.0340253i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −28.0597 | − | 48.6008i | −1.16411 | − | 2.01630i | ||||
\(582\) | −6.53195 | + | 1.75023i | −0.270758 | + | 0.0725494i | ||||
\(583\) | −52.2747 | + | 4.57345i | −2.16500 | + | 0.189413i | ||||
\(584\) | 9.86641 | + | 3.59108i | 0.408275 | + | 0.148600i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.5455 | − | 8.84875i | 0.435632 | − | 0.365538i | ||||
\(587\) | 1.69635 | + | 1.18780i | 0.0700160 | + | 0.0490257i | 0.608060 | − | 0.793891i | \(-0.291948\pi\) |
−0.538044 | + | 0.842916i | \(0.680837\pi\) | |||||||
\(588\) | −2.40936 | + | 2.40936i | −0.0993602 | + | 0.0993602i | ||||
\(589\) | 4.53829 | + | 6.87292i | 0.186997 | + | 0.283194i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.38670 | − | 0.773494i | 0.180445 | − | 0.0318173i | ||||
\(592\) | −8.16193 | − | 0.714076i | −0.335453 | − | 0.0293483i | ||||
\(593\) | −29.7681 | − | 13.8811i | −1.22243 | − | 0.570028i | −0.299167 | − | 0.954201i | \(-0.596709\pi\) |
−0.923261 | + | 0.384173i | \(0.874487\pi\) | |||||||
\(594\) | 4.72880 | − | 12.9923i | 0.194025 | − | 0.533079i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.04125 | + | 6.99966i | −0.165536 | + | 0.286717i | ||||
\(597\) | −1.24550 | + | 4.64828i | −0.0509750 | + | 0.190241i | ||||
\(598\) | −2.84465 | + | 1.99184i | −0.116326 | + | 0.0814525i | ||||
\(599\) | 0.983279 | − | 5.57645i | 0.0401757 | − | 0.227848i | −0.958108 | − | 0.286406i | \(-0.907539\pi\) |
0.998284 | + | 0.0585585i | \(0.0186504\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.0640903 | − | 0.0370026i | −0.00261430 | − | 0.00150937i | 0.498692 | − | 0.866779i | \(-0.333814\pi\) |
−0.501307 | + | 0.865270i | \(0.667147\pi\) | |||||||
\(602\) | 0.639056 | + | 7.30444i | 0.0260460 | + | 0.297707i | ||||
\(603\) | −0.635231 | + | 0.296213i | −0.0258686 | + | 0.0120627i | ||||
\(604\) | −10.6950 | + | 3.89268i | −0.435175 | + | 0.158391i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.938257 | − | 5.32112i | −0.0381141 | − | 0.216156i | ||||
\(607\) | −27.7146 | − | 27.7146i | −1.12490 | − | 1.12490i | −0.990994 | − | 0.133908i | \(-0.957247\pi\) |
−0.133908 | − | 0.990994i | \(-0.542753\pi\) | |||||||
\(608\) | −1.60197 | + | 4.05385i | −0.0649686 | + | 0.164405i | ||||
\(609\) | − | 3.15056i | − | 0.127667i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.89665 | + | 7.02736i | 0.238553 | + | 0.284297i | ||||
\(612\) | 5.50114 | − | 11.7972i | 0.222370 | − | 0.476875i | ||||
\(613\) | −1.11748 | − | 2.39644i | −0.0451345 | − | 0.0967913i | 0.882447 | − | 0.470411i | \(-0.155894\pi\) |
−0.927582 | + | 0.373620i | \(0.878117\pi\) | |||||||
\(614\) | −3.45111 | + | 4.11288i | −0.139276 | + | 0.165982i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −16.2161 | + | 9.36236i | −0.653365 | + | 0.377220i | ||||
\(617\) | 21.9732 | + | 31.3810i | 0.884608 | + | 1.26335i | 0.963836 | + | 0.266495i | \(0.0858656\pi\) |
−0.0792280 | + | 0.996857i | \(0.525246\pi\) | |||||||
\(618\) | −0.657775 | − | 0.939400i | −0.0264596 | − | 0.0377882i | ||||
\(619\) | −6.00501 | + | 3.46700i | −0.241362 | + | 0.139350i | −0.615802 | − | 0.787901i | \(-0.711168\pi\) |
0.374441 | + | 0.927251i | \(0.377835\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.61596 | + | 5.50109i | −0.185232 | + | 0.220751i | ||||
\(622\) | −4.43178 | − | 9.50399i | −0.177698 | − | 0.381075i | ||||
\(623\) | −21.1389 | + | 45.3325i | −0.846911 | + | 1.81621i | ||||
\(624\) | 0.413961 | + | 0.493340i | 0.0165717 | + | 0.0197494i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 6.23781i | 0.249313i | ||||||||
\(627\) | 10.4424 | + | 0.284867i | 0.417030 | + | 0.0113765i | ||||
\(628\) | −1.77183 | − | 1.77183i | −0.0707038 | − | 0.0707038i | ||||
\(629\) | 6.68767 | + | 37.9277i | 0.266655 | + | 1.51227i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.0296 | + | 13.8416i | −1.51393 | + | 0.551026i | −0.959624 | − | 0.281285i | \(-0.909239\pi\) |
−0.554308 | + | 0.832311i | \(0.687017\pi\) | |||||||
\(632\) | −8.70193 | + | 4.05778i | −0.346144 | + | 0.161410i | ||||
\(633\) | −1.01289 | − | 11.5773i | −0.0402586 | − | 0.460158i | ||||
\(634\) | 11.2837 | + | 6.51463i | 0.448132 | + | 0.258729i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.877692 | − | 4.97764i | 0.0348028 | − | 0.197376i | ||||
\(637\) | 7.78686 | − | 5.45242i | 0.308527 | − | 0.216033i | ||||
\(638\) | 2.25515 | − | 8.41632i | 0.0892821 | − | 0.333205i | ||||
\(639\) | 16.5552 | − | 28.6744i | 0.654913 | − | 1.13434i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.32749 | + | 3.64724i | −0.0524325 | + | 0.144057i | −0.963144 | − | 0.268985i | \(-0.913312\pi\) |
0.910712 | + | 0.413043i | \(0.135534\pi\) | |||||||
\(642\) | −3.07306 | − | 1.43299i | −0.121284 | − | 0.0565556i | ||||
\(643\) | 41.0713 | + | 3.59328i | 1.61970 | + | 0.141705i | 0.860602 | − | 0.509278i | \(-0.170087\pi\) |
0.759093 | + | 0.650982i | \(0.225643\pi\) | |||||||
\(644\) | 9.57773 | − | 1.68881i | 0.377416 | − | 0.0665486i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 20.3553 | + | 2.34174i | 0.800869 | + | 0.0921344i | ||||
\(647\) | 4.81659 | − | 4.81659i | 0.189360 | − | 0.189360i | −0.606060 | − | 0.795419i | \(-0.707251\pi\) |
0.795419 | + | 0.606060i | \(0.207251\pi\) | |||||||
\(648\) | −5.71418 | − | 4.00111i | −0.224474 | − | 0.157179i | ||||
\(649\) | −34.9939 | + | 29.3633i | −1.37363 | + | 1.15261i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.20236 | − | 1.16556i | −0.125510 | − | 0.0456820i | ||||
\(652\) | −13.1990 | + | 1.15476i | −0.516912 | + | 0.0452240i | ||||
\(653\) | −21.3360 | + | 5.71697i | −0.834944 | + | 0.223722i | −0.650869 | − | 0.759190i | \(-0.725595\pi\) |
−0.184074 | + | 0.982912i | \(0.558929\pi\) | |||||||
\(654\) | −0.715832 | − | 1.23986i | −0.0279913 | − | 0.0484823i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −9.21185 | − | 1.62430i | −0.359662 | − | 0.0634182i | ||||
\(657\) | −28.0844 | − | 7.52519i | −1.09568 | − | 0.293586i | ||||
\(658\) | −6.64939 | − | 24.8159i | −0.259220 | − | 0.967423i | ||||
\(659\) | −10.2912 | − | 8.63535i | −0.400889 | − | 0.336385i | 0.419948 | − | 0.907548i | \(-0.362048\pi\) |
−0.820837 | + | 0.571163i | \(0.806493\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.8993 | + | 46.4304i | 0.657305 | + | 1.80593i | 0.588797 | + | 0.808281i | \(0.299602\pi\) |
0.0685088 | + | 0.997651i | \(0.478176\pi\) | |||||||
\(662\) | −1.37408 | + | 15.7059i | −0.0534053 | + | 0.610426i | ||||
\(663\) | 1.73636 | − | 2.47978i | 0.0674346 | − | 0.0963066i | ||||
\(664\) | 14.9495 | 0.580155 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 22.6880 | 0.879143 | ||||||||
\(667\) | −2.59577 | + | 3.70714i | −0.100509 | + | 0.143541i | ||||
\(668\) | 0.958009 | − | 10.9501i | 0.0370665 | − | 0.423672i | ||||
\(669\) | −0.272776 | − | 0.749446i | −0.0105461 | − | 0.0289752i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.20135 | + | 6.88175i | 0.316610 | + | 0.265667i | ||||
\(672\) | −0.466805 | − | 1.74214i | −0.0180074 | − | 0.0672046i | ||||
\(673\) | −7.21919 | − | 1.93437i | −0.278279 | − | 0.0745647i | 0.116980 | − | 0.993134i | \(-0.462679\pi\) |
−0.395259 | + | 0.918570i | \(0.629345\pi\) | |||||||
\(674\) | −27.6149 | − | 4.86926i | −1.06369 | − | 0.187557i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.60165 | + | 9.70235i | 0.215448 | + | 0.373167i | ||||
\(677\) | 26.7103 | − | 7.15701i | 1.02656 | − | 0.275066i | 0.294027 | − | 0.955797i | \(-0.405004\pi\) |
0.732534 | + | 0.680731i | \(0.238338\pi\) | |||||||
\(678\) | 4.08221 | − | 0.357147i | 0.156776 | − | 0.0137162i | ||||
\(679\) | −49.6494 | − | 18.0709i | −1.90537 | − | 0.693497i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.78078 | − | 4.85065i | 0.221520 | − | 0.185877i | ||||
\(682\) | −7.72040 | − | 5.40588i | −0.295629 | − | 0.207002i | ||||
\(683\) | 25.9136 | − | 25.9136i | 0.991557 | − | 0.991557i | −0.00840797 | − | 0.999965i | \(-0.502676\pi\) |
0.999965 | + | 0.00840797i | \(0.00267637\pi\) | |||||||
\(684\) | 3.44085 | − | 11.5697i | 0.131564 | − | 0.442377i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −0.339645 | + | 0.0598886i | −0.0129677 | + | 0.00228656i | ||||
\(687\) | −1.83907 | − | 0.160898i | −0.0701649 | − | 0.00613863i | ||||
\(688\) | −1.77025 | − | 0.825480i | −0.0674901 | − | 0.0314711i | ||||
\(689\) | −4.82287 | + | 13.2507i | −0.183737 | + | 0.504812i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.30289 | + | 12.6490i | −0.277815 | + | 0.481190i | −0.970842 | − | 0.239722i | \(-0.922944\pi\) |
0.693026 | + | 0.720912i | \(0.256277\pi\) | |||||||
\(692\) | −4.55777 | + | 17.0098i | −0.173260 | + | 0.646616i | ||||
\(693\) | 42.4745 | − | 29.7409i | 1.61347 | − | 1.12976i | ||||
\(694\) | −0.340193 | + | 1.92933i | −0.0129135 | + | 0.0732363i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.726831 | + | 0.419636i | 0.0275505 | + | 0.0159063i | ||||
\(697\) | 3.83219 | + | 43.8022i | 0.145155 | + | 1.65913i | ||||
\(698\) | 16.3413 | − | 7.62005i | 0.618526 | − | 0.288423i | ||||
\(699\) | −3.19714 | + | 1.16367i | −0.120927 | + | 0.0440139i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.46076 | + | 47.9834i | 0.319559 | + | 1.81231i | 0.545438 | + | 0.838151i | \(0.316363\pi\) |
−0.225879 | + | 0.974155i | \(0.572526\pi\) | |||||||
\(702\) | −2.62718 | − | 2.62718i | −0.0991565 | − | 0.0991565i | ||||
\(703\) | 11.2948 | + | 33.8798i | 0.425993 | + | 1.27780i | ||||
\(704\) | − | 4.98805i | − | 0.187994i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.15344 | + | 4.94987i | 0.156317 | + | 0.186291i | ||||
\(707\) | 17.8414 | − | 38.2610i | 0.670995 | − | 1.43895i | ||||
\(708\) | −1.85956 | − | 3.98784i | −0.0698866 | − | 0.149872i | ||||
\(709\) | 11.3359 | − | 13.5096i | 0.425729 | − | 0.507364i | −0.509956 | − | 0.860200i | \(-0.670338\pi\) |
0.935685 | + | 0.352836i | \(0.114783\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 23.0260 | − | 13.2941i | 0.863543 | − | 0.498567i | ||||
\(712\) | −7.64259 | − | 10.9148i | −0.286418 | − | 0.409048i | ||||
\(713\) | 2.80778 | + | 4.00992i | 0.105152 | + | 0.150173i | ||||
\(714\) | −7.34220 | + | 4.23902i | −0.274775 | + | 0.158641i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.7911 | + | 15.2438i | −0.478026 | + | 0.569689i | ||||
\(717\) | −1.75634 | − | 3.76649i | −0.0655918 | − | 0.140662i | ||||
\(718\) | −8.30528 | + | 17.8107i | −0.309950 | + | 0.664691i | ||||
\(719\) | 9.85702 | + | 11.7471i | 0.367605 | + | 0.438094i | 0.917861 | − | 0.396901i | \(-0.129914\pi\) |
−0.550256 | + | 0.834996i | \(0.685470\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 8.96015i | − | 0.333693i | ||||||
\(722\) | 18.9898 | − | 0.621576i | 0.706728 | − | 0.0231327i | ||||
\(723\) | 6.97943 | + | 6.97943i | 0.259568 | + | 0.259568i | ||||
\(724\) | −1.27514 | − | 7.23169i | −0.0473903 | − | 0.268764i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −6.26688 | + | 2.28096i | −0.232586 | + | 0.0846542i | ||||
\(727\) | 31.4152 | − | 14.6492i | 1.16513 | − | 0.543307i | 0.258819 | − | 0.965926i | \(-0.416667\pi\) |
0.906308 | + | 0.422619i | \(0.138889\pi\) | |||||||
\(728\) | 0.438548 | + | 5.01263i | 0.0162537 | + | 0.185780i | ||||
\(729\) | 13.2689 | + | 7.66083i | 0.491442 | + | 0.283734i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.59435 | + | 9.04203i | −0.0589693 | + | 0.334431i | ||||
\(732\) | −0.844735 | + | 0.591490i | −0.0312223 | + | 0.0218621i | ||||
\(733\) | 1.93064 | − | 7.20524i | 0.0713098 | − | 0.266132i | −0.921061 | − | 0.389417i | \(-0.872676\pi\) |
0.992371 | + | 0.123286i | \(0.0393431\pi\) | |||||||
\(734\) | −7.05255 | + | 12.2154i | −0.260314 | + | 0.450878i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.886092 | + | 2.43452i | −0.0326618 | + | 0.0897375i | ||||
\(737\) | 1.14423 | + | 0.533565i | 0.0421484 | + | 0.0196541i | ||||
\(738\) | 25.8040 | + | 2.25756i | 0.949860 | + | 0.0831020i | ||||
\(739\) | 18.9290 | − | 3.33770i | 0.696315 | − | 0.122779i | 0.185723 | − | 0.982602i | \(-0.440537\pi\) |
0.510592 | + | 0.859823i | \(0.329426\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.25530 | − | 2.51086i | 0.0461146 | − | 0.0922389i | ||||
\(742\) | 27.9245 | − | 27.9245i | 1.02514 | − | 1.02514i | ||||
\(743\) | −29.1705 | − | 20.4254i | −1.07016 | − | 0.749334i | −0.100782 | − | 0.994908i | \(-0.532135\pi\) |
−0.969378 | + | 0.245574i | \(0.921023\pi\) | |||||||
\(744\) | 0.695430 | − | 0.583535i | 0.0254957 | − | 0.0213934i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −34.1017 | − | 12.4120i | −1.24855 | − | 0.454435i | ||||
\(747\) | −41.2402 | + | 3.60805i | −1.50890 | + | 0.132012i | ||||
\(748\) | −22.6480 | + | 6.06853i | −0.828095 | + | 0.221887i | ||||
\(749\) | −13.2463 | − | 22.9432i | −0.484008 | − | 0.838327i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.29307 | + | 0.228003i | 0.0471847 | + | 0.00831994i | 0.197191 | − | 0.980365i | \(-0.436818\pi\) |
−0.150006 | + | 0.988685i | \(0.547929\pi\) | |||||||
\(752\) | 6.61066 | + | 1.77132i | 0.241066 | + | 0.0645935i | ||||
\(753\) | −0.258217 | − | 0.963678i | −0.00940994 | − | 0.0351184i | ||||
\(754\) | −1.79365 | − | 1.50505i | −0.0653210 | − | 0.0548108i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.55880 | + | 9.77773i | 0.129432 | + | 0.355613i | ||||
\(757\) | −1.68000 | + | 19.2025i | −0.0610608 | + | 0.697928i | 0.902544 | + | 0.430598i | \(0.141697\pi\) |
−0.963605 | + | 0.267331i | \(0.913858\pi\) | |||||||
\(758\) | 4.80867 | − | 6.86749i | 0.174659 | − | 0.249439i | ||||
\(759\) | 6.20888 | 0.225368 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 16.5439 | 0.599715 | 0.299857 | − | 0.953984i | \(-0.403061\pi\) | ||||
0.299857 | + | 0.953984i | \(0.403061\pi\) | |||||||
\(762\) | 2.09638 | − | 2.99394i | 0.0759439 | − | 0.108459i | ||||
\(763\) | 0.974914 | − | 11.1433i | 0.0352943 | − | 0.403415i | ||||
\(764\) | −1.01440 | − | 2.78704i | −0.0366996 | − | 0.100831i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.2323 | − | 10.2642i | −0.441973 | − | 0.370859i | ||||
\(767\) | 3.17717 | + | 11.8574i | 0.114721 | + | 0.428144i | ||||
\(768\) | 0.464087 | + | 0.124352i | 0.0167463 | + | 0.00448715i | ||||
\(769\) | −33.8306 | − | 5.96525i | −1.21996 | − | 0.215112i | −0.473653 | − | 0.880711i | \(-0.657065\pi\) |
−0.746310 | + | 0.665599i | \(0.768176\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.83365 | + | 6.64008i | 0.138066 | + | 0.239137i | ||||
\(772\) | −9.47893 | + | 2.53987i | −0.341154 | + | 0.0914119i | ||||
\(773\) | −11.3638 | + | 0.994208i | −0.408729 | + | 0.0357592i | −0.289667 | − | 0.957128i | \(-0.593544\pi\) |
−0.119063 | + | 0.992887i | \(0.537989\pi\) | |||||||
\(774\) | 5.08267 | + | 1.84994i | 0.182693 | + | 0.0664948i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 10.7820 | − | 9.04713i | 0.387050 | − | 0.324773i | ||||
\(777\) | −12.1047 | − | 8.47578i | −0.434252 | − | 0.304067i | ||||
\(778\) | 19.5089 | − | 19.5089i | 0.699426 | − | 0.699426i | ||||
\(779\) | 9.47491 | + | 39.6568i | 0.339474 | + | 1.42085i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −58.7352 | + | 10.3566i | −2.10171 | + | 0.370588i | ||||
\(782\) | 12.1319 | + | 1.06140i | 0.433834 | + | 0.0379556i | ||||
\(783\) | −4.38825 | − | 2.04627i | −0.156823 | − | 0.0731278i | ||||
\(784\) | 2.42556 | − | 6.66418i | 0.0866273 | − | 0.238006i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −2.47398 | + | 4.28506i | −0.0882439 | + | 0.152843i | ||||
\(787\) | −6.46227 | + | 24.1175i | −0.230355 | + | 0.859697i | 0.749833 | + | 0.661627i | \(0.230134\pi\) |
−0.980188 | + | 0.198070i | \(0.936533\pi\) | |||||||
\(788\) | −7.59444 | + | 5.31768i | −0.270541 | + | 0.189435i | ||||
\(789\) | 0.538733 | − | 3.05531i | 0.0191794 | − | 0.108772i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 27.7275 | + | 16.0085i | 0.985877 | + | 0.569196i | ||||
\(792\) | 1.20386 | + | 13.7602i | 0.0427772 | + | 0.488946i | ||||
\(793\) | 2.60743 | − | 1.21587i | 0.0925926 | − | 0.0431767i | ||||
\(794\) | 12.7831 | − | 4.65265i | 0.453654 | − | 0.165116i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.73926 | − | 9.86381i | −0.0616463 | − | 0.349613i | ||||
\(797\) | −20.9403 | − | 20.9403i | −0.741744 | − | 0.741744i | 0.231170 | − | 0.972913i | \(-0.425745\pi\) |
−0.972913 | + | 0.231170i | \(0.925745\pi\) | |||||||
\(798\) | −6.15798 | + | 4.88729i | −0.217990 | + | 0.173008i | ||||
\(799\) | − | 32.1705i | − | 1.13811i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 23.7173 | + | 28.2652i | 0.838009 | + | 0.998700i | ||||
\(802\) | 10.2642 | − | 22.0117i | 0.362443 | − | 0.777262i | ||||
\(803\) | 22.1336 | + | 47.4657i | 0.781078 | + | 1.67503i | ||||
\(804\) | −0.0781683 | + | 0.0931574i | −0.00275678 | + | 0.00328541i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.19337 | + | 1.26634i | −0.0772581 | + | 0.0446050i | ||||
\(807\) | 5.96538 | + | 8.51945i | 0.209991 | + | 0.299899i | ||||
\(808\) | 6.45041 | + | 9.21214i | 0.226925 | + | 0.324082i | ||||
\(809\) | −30.2313 | + | 17.4540i | −1.06288 | + | 0.613652i | −0.926226 | − | 0.376968i | \(-0.876967\pi\) |
−0.136649 | + | 0.990619i | \(0.543633\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.0249 | + | 32.2070i | −0.948972 | + | 1.13094i | 0.0423000 | + | 0.999105i | \(0.486531\pi\) |
−0.991272 | + | 0.131835i | \(0.957913\pi\) | |||||||
\(812\) | 2.77128 | + | 5.94303i | 0.0972528 | + | 0.208559i | ||||
\(813\) | 5.25795 | − | 11.2757i | 0.184404 | − | 0.395456i | ||||
\(814\) | −26.2692 | − | 31.3064i | −0.920735 | − | 1.09729i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | − | 2.25845i | − | 0.0790617i | ||||||
\(817\) | −0.232175 | + | 8.51086i | −0.00812276 | + | 0.297757i | ||||
\(818\) | 7.77901 | + | 7.77901i | 0.271987 | + | 0.271987i | ||||
\(819\) | −2.41958 | − | 13.7221i | −0.0845469 | − | 0.479489i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −34.0120 | + | 12.3793i | −1.18703 | + | 0.432042i | −0.858678 | − | 0.512515i | \(-0.828714\pi\) |
−0.328348 | + | 0.944557i | \(0.606492\pi\) | |||||||
\(822\) | −6.12823 | + | 2.85764i | −0.213747 | + | 0.0996717i | ||||
\(823\) | −0.636069 | − | 7.27030i | −0.0221720 | − | 0.253427i | −0.999189 | − | 0.0402656i | \(-0.987180\pi\) |
0.977017 | − | 0.213161i | \(-0.0683760\pi\) | |||||||
\(824\) | 2.06710 | + | 1.19344i | 0.0720108 | + | 0.0415755i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.96983 | − | 33.8566i | 0.207717 | − | 1.17802i | ||||
\(827\) | 3.26292 | − | 2.28472i | 0.113463 | − | 0.0794475i | −0.515468 | − | 0.856909i | \(-0.672382\pi\) |
0.628931 | + | 0.777461i | \(0.283493\pi\) | |||||||
\(828\) | 1.85683 | − | 6.92977i | 0.0645292 | − | 0.240826i | ||||
\(829\) | 5.48124 | − | 9.49379i | 0.190371 | − | 0.329733i | −0.755002 | − | 0.655722i | \(-0.772364\pi\) |
0.945373 | + | 0.325990i | \(0.105697\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.36323 | + | 3.74545i | −0.0472900 | + | 0.129928i | ||||
\(832\) | −1.21482 | − | 0.566481i | −0.0421164 | − | 0.0196392i | ||||
\(833\) | −33.2094 | − | 2.90545i | −1.15064 | − | 0.100668i | ||||
\(834\) | −8.77601 | + | 1.54745i | −0.303888 | + | 0.0535837i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −19.9486 | + | 8.64797i | −0.689935 | + | 0.299096i | ||||
\(837\) | −3.70337 | + | 3.70337i | −0.128007 | + | 0.128007i | ||||
\(838\) | −16.5797 | − | 11.6092i | −0.572736 | − | 0.401034i | ||||
\(839\) | 6.03150 | − | 5.06103i | 0.208230 | − | 0.174726i | −0.532708 | − | 0.846299i | \(-0.678826\pi\) |
0.740938 | + | 0.671573i | \(0.234381\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 24.3837 | + | 8.87495i | 0.840818 | + | 0.306033i | ||||
\(842\) | −28.4614 | + | 2.49005i | −0.980845 | + | 0.0858128i | ||||
\(843\) | −11.2056 | + | 3.00253i | −0.385941 | + | 0.103413i | ||||
\(844\) | 12.0943 | + | 20.9479i | 0.416302 | + | 0.721056i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −18.6638 | − | 3.29094i | −0.641676 | − | 0.113145i | ||||
\(847\) | −50.3313 | − | 13.4862i | −1.72940 | − | 0.463392i | ||||
\(848\) | 2.72278 | + | 10.1616i | 0.0935007 | + | 0.348950i | ||||
\(849\) | 3.27035 | + | 2.74415i | 0.112238 | + | 0.0941791i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.25984 | + | 19.9463i | 0.248864 | + | 0.683749i | ||||
\(852\) | 0.500688 | − | 5.72289i | 0.0171533 | − | 0.196063i | ||||
\(853\) | 13.9668 | − | 19.9467i | 0.478214 | − | 0.682961i | −0.505474 | − | 0.862842i | \(-0.668682\pi\) |
0.983688 | + | 0.179881i | \(0.0575713\pi\) | |||||||
\(854\) | −8.05721 | −0.275712 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.05731 | 0.241214 | ||||||||
\(857\) | 28.6102 | − | 40.8596i | 0.977307 | − | 1.39574i | 0.0597146 | − | 0.998215i | \(-0.480981\pi\) |
0.917592 | − | 0.397523i | \(-0.130130\pi\) | |||||||
\(858\) | −0.279975 | + | 3.20013i | −0.00955818 | + | 0.109251i | ||||
\(859\) | 16.1613 | + | 44.4029i | 0.551418 | + | 1.51501i | 0.831775 | + | 0.555113i | \(0.187325\pi\) |
−0.280357 | + | 0.959896i | \(0.590453\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.9238 | − | 10.8443i | −0.440441 | − | 0.369574i | ||||
\(862\) | 4.43232 | + | 16.5416i | 0.150965 | + | 0.563410i | ||||
\(863\) | −24.3265 | − | 6.51826i | −0.828083 | − | 0.221884i | −0.180206 | − | 0.983629i | \(-0.557676\pi\) |
−0.647877 | + | 0.761745i | \(0.724343\pi\) | |||||||
\(864\) | −2.72973 | − | 0.481325i | −0.0928672 | − | 0.0163750i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −2.05006 | − | 3.55081i | −0.0696640 | − | 0.120662i | ||||
\(867\) | −2.36495 | + | 0.633686i | −0.0803178 | + | 0.0215211i | ||||
\(868\) | 7.06599 | − | 0.618194i | 0.239835 | − | 0.0209829i | ||||
\(869\) | −45.0046 | − | 16.3803i | −1.52668 | − | 0.555664i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.259895 | − | 0.218078i | 0.00880622 | − | 0.00738930i | ||||
\(872\) | 2.44090 | + | 1.70914i | 0.0826594 | + | 0.0578787i | ||||
\(873\) | −27.5598 | + | 27.5598i | −0.932759 | + | 0.932759i | ||||
\(874\) | 11.2725 | − | 0.677091i | 0.381299 | − | 0.0229029i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.96798 | + | 0.875989i | −0.167853 | + | 0.0295969i | ||||
\(877\) | −35.9584 | − | 3.14595i | −1.21423 | − | 0.106231i | −0.538014 | − | 0.842936i | \(-0.680825\pi\) |
−0.676214 | + | 0.736705i | \(0.736381\pi\) | |||||||
\(878\) | 16.0172 | + | 7.46894i | 0.540554 | + | 0.252065i | ||||
\(879\) | −2.26215 | + | 6.21520i | −0.0763004 | + | 0.209634i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.46927 | − | 2.54486i | 0.0495011 | − | 0.0857384i | −0.840213 | − | 0.542256i | \(-0.817570\pi\) |
0.889714 | + | 0.456518i | \(0.150904\pi\) | |||||||
\(882\) | −5.08283 | + | 18.9694i | −0.171148 | + | 0.638732i | ||||
\(883\) | −37.6354 | + | 26.3526i | −1.26653 | + | 0.886836i | −0.997094 | − | 0.0761812i | \(-0.975727\pi\) |
−0.269439 | + | 0.963017i | \(0.586838\pi\) | |||||||
\(884\) | −1.09412 | + | 6.20504i | −0.0367991 | + | 0.208698i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 8.34151 | + | 4.81597i | 0.280239 | + | 0.161796i | ||||
\(887\) | −0.402514 | − | 4.60075i | −0.0135151 | − | 0.154478i | 0.986438 | − | 0.164132i | \(-0.0524824\pi\) |
−0.999953 | + | 0.00965430i | \(0.996927\pi\) | |||||||
\(888\) | 3.56763 | − | 1.66361i | 0.119722 | − | 0.0558272i | ||||
\(889\) | 26.8345 | − | 9.76697i | 0.900002 | − | 0.327574i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −6.04214 | − | 34.2667i | −0.202419 | − | 1.14798i | ||||
\(892\) | 1.17377 | + | 1.17377i | 0.0393008 | + | 0.0393008i | ||||
\(893\) | −4.37715 | − | 29.5088i | −0.146476 | − | 0.987476i | ||||
\(894\) | − | 3.88330i | − | 0.129877i | ||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.41297 | + | 2.87567i | 0.0806117 | + | 0.0960692i | ||||
\(897\) | 0.705127 | − | 1.51215i | 0.0235435 | − | 0.0504892i | ||||
\(898\) | −8.85858 | − | 18.9973i | −0.295615 | − | 0.633947i | ||||
\(899\) | −2.12158 | + | 2.52840i | −0.0707586 | + | 0.0843269i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 42.8256 | − | 24.7254i | 1.42673 | − | 0.823721i | ||||
\(902\) | −26.7619 | − | 38.2200i | −0.891075 | − | 1.27259i | ||||
\(903\) | −2.02064 | − | 2.88578i | −0.0672427 | − | 0.0960326i | ||||
\(904\) | −7.38629 | + | 4.26448i | −0.245664 | + | 0.141834i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.51496 | − | 4.18896i | 0.116777 | − | 0.139169i | ||||
\(907\) | 3.91880 | + | 8.40389i | 0.130122 | + | 0.279047i | 0.960565 | − | 0.278057i | \(-0.0896904\pi\) |
−0.830443 | + | 0.557104i | \(0.811913\pi\) | |||||||
\(908\) | −6.63782 | + | 14.2348i | −0.220284 | + | 0.472400i | ||||
\(909\) | −20.0176 | − | 23.8560i | −0.663941 | − | 0.791255i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.34196i | 0.0444610i | 0.999753 | + | 0.0222305i | \(0.00707677\pi\) | ||||
−0.999753 | + | 0.0222305i | \(0.992923\pi\) | |||||||
\(912\) | −0.307288 | − | 2.07160i | −0.0101753 | − | 0.0685976i | ||||
\(913\) | 52.7283 | + | 52.7283i | 1.74505 | + | 1.74505i | ||||
\(914\) | 5.88855 | + | 33.3956i | 0.194776 | + | 1.10463i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.61064 | − | 1.31417i | 0.119299 | − | 0.0434213i | ||||
\(917\) | −35.0373 | + | 16.3382i | −1.15703 | + | 0.539534i | ||||
\(918\) | 1.13559 | + | 12.9798i | 0.0374799 | + | 0.428397i | ||||
\(919\) | 1.81672 | + | 1.04888i | 0.0599279 | + | 0.0345994i | 0.529665 | − | 0.848207i | \(-0.322318\pi\) |
−0.469737 | + | 0.882807i | \(0.655651\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.447937 | − | 2.54038i | 0.0147600 | − | 0.0837083i | ||||
\(922\) | 9.15325 | − | 6.40918i | 0.301446 | − | 0.211075i | ||||
\(923\) | −4.14810 | + | 15.4809i | −0.136536 | + | 0.509561i | ||||
\(924\) | 4.49822 | − | 7.79114i | 0.147981 | − | 0.256310i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 9.87513 | − | 27.1317i | 0.324517 | − | 0.891603i | ||||
\(927\) | −5.99038 | − | 2.79336i | −0.196750 | − | 0.0917460i | ||||
\(928\) | −1.74017 | − | 0.152245i | −0.0571239 | − | 0.00499769i | ||||
\(929\) | −52.4609 | + | 9.25027i | −1.72119 | + | 0.303492i | −0.945014 | − | 0.327029i | \(-0.893952\pi\) |
−0.776172 | + | 0.630521i | \(0.782841\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.8571 | + | 1.85345i | −1.01130 | + | 0.0607444i | ||||
\(932\) | 5.00733 | − | 5.00733i | 0.164020 | − | 0.164020i | ||||
\(933\) | 4.12715 | + | 2.88986i | 0.135117 | + | 0.0946098i | ||||
\(934\) | −11.8099 | + | 9.90970i | −0.386432 | + | 0.324255i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.48795 | + | 1.26951i | 0.114007 | + | 0.0414953i | ||||
\(937\) | 48.6745 | − | 4.25846i | 1.59013 | − | 0.139118i | 0.742549 | − | 0.669791i | \(-0.233617\pi\) |
0.847576 | + | 0.530673i | \(0.178061\pi\) | |||||||
\(938\) | −0.917775 | + | 0.245917i | −0.0299664 | + | 0.00802947i | ||||
\(939\) | −1.49850 | − | 2.59548i | −0.0489018 | − | 0.0847004i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 42.9034 | + | 7.56502i | 1.39861 | + | 0.246613i | 0.821572 | − | 0.570105i | \(-0.193097\pi\) |
0.577038 | + | 0.816717i | \(0.304209\pi\) | |||||||
\(942\) | 1.16288 | + | 0.311594i | 0.0378888 | + | 0.0101523i | ||||
\(943\) | 6.27218 | + | 23.4081i | 0.204250 | + | 0.762273i | ||||
\(944\) | 7.01554 | + | 5.88674i | 0.228336 | + | 0.191597i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.33228 | − | 9.15535i | −0.108342 | − | 0.297666i | ||||
\(947\) | 0.241094 | − | 2.75571i | 0.00783449 | − | 0.0895486i | −0.991271 | − | 0.131842i | \(-0.957911\pi\) |
0.999105 | + | 0.0422934i | \(0.0134664\pi\) | |||||||
\(948\) | 2.64598 | − | 3.77885i | 0.0859374 | − | 0.122731i | ||||
\(949\) | 14.0738 | 0.456853 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.26001 | −0.202995 | ||||||||
\(952\) | 10.1212 | − | 14.4546i | 0.328030 | − | 0.468475i | ||||
\(953\) | −3.24039 | + | 37.0378i | −0.104966 | + | 1.19977i | 0.742841 | + | 0.669468i | \(0.233478\pi\) |
−0.847808 | + | 0.530304i | \(0.822078\pi\) | |||||||
\(954\) | −9.96361 | − | 27.3748i | −0.322584 | − | 0.886291i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.62612 | + | 5.55998i | 0.214304 | + | 0.179823i | ||||
\(957\) | 1.08350 | + | 4.04369i | 0.0350247 | + | 0.130714i | ||||
\(958\) | 9.97672 | + | 2.67325i | 0.322333 | + | 0.0863689i | ||||
\(959\) | −52.0284 | − | 9.17400i | −1.68008 | − | 0.296244i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.7149 | − | 23.7549i | −0.442417 | − | 0.766288i | ||||
\(962\) | −10.6079 | + | 2.84238i | −0.342012 | + | 0.0916419i | ||||
\(963\) | −19.4685 | + | 1.70327i | −0.627362 | + | 0.0548871i | ||||
\(964\) | −19.3048 | − | 7.02637i | −0.621766 | − | 0.226304i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −3.57949 | + | 3.00354i | −0.115168 | + | 0.0966375i | ||||
\(967\) | −3.62688 | − | 2.53957i | −0.116632 | − | 0.0816669i | 0.513805 | − | 0.857907i | \(-0.328236\pi\) |
−0.630437 | + | 0.776240i | \(0.717124\pi\) | |||||||
\(968\) | 9.81511 | − | 9.81511i | 0.315469 | − | 0.315469i | ||||
\(969\) | −9.03217 | + | 3.91556i | −0.290155 | + | 0.125786i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 9.49031 | − | 1.67340i | 0.304558 | − | 0.0537019i | −0.0192805 | − | 0.999814i | \(-0.506138\pi\) |
0.323839 | + | 0.946112i | \(0.395026\pi\) | |||||||
\(972\) | 11.6227 | + | 1.01685i | 0.372797 | + | 0.0326155i | ||||
\(973\) | −63.1031 | − | 29.4254i | −2.02299 | − | 0.943337i | ||||
\(974\) | −7.07577 | + | 19.4405i | −0.226722 | + | 0.622915i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.07317 | − | 1.85879i | 0.0343515 | − | 0.0594985i | ||||
\(977\) | 7.84751 | − | 29.2873i | 0.251064 | − | 0.936984i | −0.719174 | − | 0.694830i | \(-0.755479\pi\) |
0.970238 | − | 0.242154i | \(-0.0778539\pi\) | |||||||
\(978\) | 5.21454 | − | 3.65126i | 0.166743 | − | 0.116754i | ||||
\(979\) | 11.5412 | − | 65.4533i | 0.368858 | − | 2.09190i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.14603 | − | 4.12576i | −0.228155 | − | 0.131725i | ||||
\(982\) | −3.12894 | − | 35.7640i | −0.0998486 | − | 1.14127i | ||||
\(983\) | −32.3850 | + | 15.1014i | −1.03292 | + | 0.481659i | −0.863746 | − | 0.503927i | \(-0.831888\pi\) |
−0.169175 | + | 0.985586i | \(0.554110\pi\) | |||||||
\(984\) | 4.22315 | − | 1.53710i | 0.134629 | − | 0.0490010i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.42585 | + | 8.08640i | 0.0454083 | + | 0.257523i | ||||
\(987\) | 8.72823 | + | 8.72823i | 0.277823 | + | 0.277823i | ||||
\(988\) | −0.159328 | + | 5.84053i | −0.00506891 | + | 0.185812i | ||||
\(989\) | 5.06040i | 0.160912i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.1912 | − | 24.0629i | −0.641394 | − | 0.764383i | 0.343196 | − | 0.939264i | \(-0.388491\pi\) |
−0.984590 | + | 0.174880i | \(0.944046\pi\) | |||||||
\(992\) | −0.798532 | + | 1.71246i | −0.0253534 | + | 0.0543706i | ||||
\(993\) | −3.20126 | − | 6.86513i | −0.101589 | − | 0.217858i | ||||
\(994\) | 28.8515 | − | 34.3838i | 0.915113 | − | 1.09059i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.22034 | + | 3.59131i | −0.197099 | + | 0.113795i | ||||
\(997\) | −18.5401 | − | 26.4780i | −0.587170 | − | 0.838566i | 0.410128 | − | 0.912028i | \(-0.365484\pi\) |
−0.997298 | + | 0.0734621i | \(0.976595\pi\) | |||||||
\(998\) | −6.35080 | − | 9.06988i | −0.201031 | − | 0.287102i | ||||
\(999\) | −19.6674 | + | 11.3550i | −0.622249 | + | 0.359256i |
(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 | 950.2.bb.e.143.7 | 120 | ||
5.2 | odd | 4 | inner | 950.2.bb.e.257.9 | 120 | ||
5.3 | odd | 4 | 190.2.r.a.67.2 | ✓ | 120 | ||
5.4 | even | 2 | 190.2.r.a.143.4 | yes | 120 | ||
19.2 | odd | 18 | inner | 950.2.bb.e.743.9 | 120 | ||
95.2 | even | 36 | inner | 950.2.bb.e.857.7 | 120 | ||
95.59 | odd | 18 | 190.2.r.a.173.2 | yes | 120 | ||
95.78 | even | 36 | 190.2.r.a.97.4 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.r.a.67.2 | ✓ | 120 | 5.3 | odd | 4 | ||
190.2.r.a.97.4 | yes | 120 | 95.78 | even | 36 | ||
190.2.r.a.143.4 | yes | 120 | 5.4 | even | 2 | ||
190.2.r.a.173.2 | yes | 120 | 95.59 | odd | 18 | ||
950.2.bb.e.143.7 | 120 | 1.1 | even | 1 | trivial | ||
950.2.bb.e.257.9 | 120 | 5.2 | odd | 4 | inner | ||
950.2.bb.e.743.9 | 120 | 19.2 | odd | 18 | inner | ||
950.2.bb.e.857.7 | 120 | 95.2 | even | 36 | inner |