Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(2,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(156))
chi = DirichletCharacter(H, H._module([39, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.bn (of order \(156\), degree \(48\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(4272\) |
Relative dimension: | \(89\) over \(\Q(\zeta_{156})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{156}]$ |
Embedding invariants
Embedding label | 392.19 | ||
Character | \(\chi\) | \(=\) | 845.392 |
Dual form | 845.2.bn.a.748.19 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{61}{156}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.763701 | + | 1.60947i | −0.540018 | + | 1.13806i | 0.431721 | + | 0.902007i | \(0.357907\pi\) |
−0.971739 | + | 0.236057i | \(0.924145\pi\) | |||||||
\(3\) | −1.71534 | − | 1.58244i | −0.990352 | − | 0.913624i | 0.00591228 | − | 0.999983i | \(-0.498118\pi\) |
−0.996264 | + | 0.0863583i | \(0.972477\pi\) | |||||||
\(4\) | −0.742252 | − | 0.909094i | −0.371126 | − | 0.454547i | ||||
\(5\) | 1.90667 | − | 1.16816i | 0.852689 | − | 0.522418i | ||||
\(6\) | 3.85690 | − | 1.55227i | 1.57457 | − | 0.633711i | ||||
\(7\) | 1.61755 | + | 0.468530i | 0.611378 | + | 0.177088i | 0.569441 | − | 0.822033i | \(-0.307160\pi\) |
0.0419372 | + | 0.999120i | \(0.486647\pi\) | |||||||
\(8\) | −1.42939 | + | 0.352312i | −0.505364 | + | 0.124561i | ||||
\(9\) | 0.196863 | + | 2.43858i | 0.0656210 | + | 0.812862i | ||||
\(10\) | 0.423992 | + | 3.96085i | 0.134078 | + | 1.25253i | ||||
\(11\) | 2.48211 | + | 2.91806i | 0.748384 | + | 0.879827i | 0.996030 | − | 0.0890236i | \(-0.0283746\pi\) |
−0.247645 | + | 0.968851i | \(0.579657\pi\) | |||||||
\(12\) | −0.165375 | + | 2.73398i | −0.0477397 | + | 0.789231i | ||||
\(13\) | −2.49301 | + | 2.60479i | −0.691436 | + | 0.722438i | ||||
\(14\) | −1.98941 | + | 2.24558i | −0.531692 | + | 0.600157i | ||||
\(15\) | −5.11914 | − | 1.01340i | −1.32176 | − | 0.261660i | ||||
\(16\) | 0.994099 | − | 4.86942i | 0.248525 | − | 1.21735i | ||||
\(17\) | −0.609296 | − | 1.10619i | −0.147776 | − | 0.268291i | 0.791697 | − | 0.610914i | \(-0.209198\pi\) |
−0.939473 | + | 0.342622i | \(0.888685\pi\) | |||||||
\(18\) | −4.07517 | − | 1.54551i | −0.960526 | − | 0.364279i | ||||
\(19\) | 1.18800 | − | 0.318323i | 0.272545 | − | 0.0730283i | −0.119958 | − | 0.992779i | \(-0.538276\pi\) |
0.392503 | + | 0.919751i | \(0.371609\pi\) | |||||||
\(20\) | −2.47720 | − | 0.866271i | −0.553919 | − | 0.193704i | ||||
\(21\) | −2.03323 | − | 3.36338i | −0.443687 | − | 0.733949i | ||||
\(22\) | −6.59211 | + | 1.76635i | −1.40544 | + | 0.376587i | ||||
\(23\) | 0.380164 | − | 1.41879i | 0.0792696 | − | 0.295838i | −0.914898 | − | 0.403685i | \(-0.867729\pi\) |
0.994167 | + | 0.107847i | \(0.0343957\pi\) | |||||||
\(24\) | 3.00940 | + | 1.65759i | 0.614290 | + | 0.338354i | ||||
\(25\) | 2.27079 | − | 4.45461i | 0.454158 | − | 0.890921i | ||||
\(26\) | −2.28840 | − | 6.00169i | −0.448793 | − | 1.17703i | ||||
\(27\) | −0.796618 | + | 1.01681i | −0.153309 | + | 0.195685i | ||||
\(28\) | −0.774694 | − | 1.81827i | −0.146403 | − | 0.343622i | ||||
\(29\) | 4.06101 | + | 1.92697i | 0.754110 | + | 0.357830i | 0.766628 | − | 0.642092i | \(-0.221933\pi\) |
−0.0125177 | + | 0.999922i | \(0.503985\pi\) | |||||||
\(30\) | 5.54053 | − | 7.46515i | 1.01156 | − | 1.36294i | ||||
\(31\) | 0.653009 | + | 0.511600i | 0.117284 | + | 0.0918861i | 0.673647 | − | 0.739053i | \(-0.264727\pi\) |
−0.556363 | + | 0.830939i | \(0.687804\pi\) | |||||||
\(32\) | 4.72415 | + | 3.54997i | 0.835119 | + | 0.627551i | ||||
\(33\) | 0.359998 | − | 8.93326i | 0.0626676 | − | 1.55508i | ||||
\(34\) | 2.24570 | − | 0.135840i | 0.385134 | − | 0.0232963i | ||||
\(35\) | 3.63146 | − | 0.996233i | 0.613829 | − | 0.168394i | ||||
\(36\) | 2.07078 | − | 1.98901i | 0.345130 | − | 0.331502i | ||||
\(37\) | 6.04609 | + | 8.04588i | 0.993971 | + | 1.32273i | 0.946098 | + | 0.323881i | \(0.104988\pi\) |
0.0478731 | + | 0.998853i | \(0.484756\pi\) | |||||||
\(38\) | −0.394945 | + | 2.15514i | −0.0640685 | + | 0.349611i | ||||
\(39\) | 8.39828 | − | 0.523049i | 1.34480 | − | 0.0837548i | ||||
\(40\) | −2.31381 | + | 2.34150i | −0.365846 | + | 0.370223i | ||||
\(41\) | 6.18381 | + | 5.70472i | 0.965749 | + | 0.890927i | 0.994078 | − | 0.108671i | \(-0.0346596\pi\) |
−0.0283288 | + | 0.999599i | \(0.509019\pi\) | |||||||
\(42\) | 6.96602 | − | 0.703803i | 1.07488 | − | 0.108599i | ||||
\(43\) | −0.524541 | − | 3.69629i | −0.0799918 | − | 0.563679i | −0.989114 | − | 0.147150i | \(-0.952990\pi\) |
0.909122 | − | 0.416529i | \(-0.136754\pi\) | |||||||
\(44\) | 0.810436 | − | 4.42240i | 0.122178 | − | 0.666702i | ||||
\(45\) | 3.22402 | + | 4.41961i | 0.480608 | + | 0.658837i | ||||
\(46\) | 1.99316 | + | 1.69539i | 0.293876 | + | 0.249972i | ||||
\(47\) | 2.21178 | − | 0.838818i | 0.322622 | − | 0.122354i | −0.187977 | − | 0.982173i | \(-0.560193\pi\) |
0.510599 | + | 0.859819i | \(0.329424\pi\) | |||||||
\(48\) | −9.41080 | + | 6.77960i | −1.35833 | + | 0.978551i | ||||
\(49\) | −3.51937 | − | 2.22552i | −0.502767 | − | 0.317931i | ||||
\(50\) | 5.43533 | + | 7.05675i | 0.768672 | + | 0.997975i | ||||
\(51\) | −0.705339 | + | 2.86167i | −0.0987672 | + | 0.400714i | ||||
\(52\) | 4.21843 | + | 0.332970i | 0.584992 | + | 0.0461746i | ||||
\(53\) | 4.17581 | − | 6.90763i | 0.573591 | − | 0.948836i | −0.425447 | − | 0.904984i | \(-0.639883\pi\) |
0.999038 | − | 0.0438525i | \(-0.0139632\pi\) | |||||||
\(54\) | −1.02814 | − | 2.05867i | −0.139912 | − | 0.280149i | ||||
\(55\) | 8.14133 | + | 2.66427i | 1.09778 | + | 0.359250i | ||||
\(56\) | −2.47718 | − | 0.0998268i | −0.331027 | − | 0.0133399i | ||||
\(57\) | −2.54155 | − | 1.33391i | −0.336636 | − | 0.176680i | ||||
\(58\) | −6.20279 | + | 5.06442i | −0.814466 | + | 0.664991i | ||||
\(59\) | 2.56989 | + | 1.69849i | 0.334571 | + | 0.221125i | 0.707464 | − | 0.706750i | \(-0.249839\pi\) |
−0.372893 | + | 0.927874i | \(0.621634\pi\) | |||||||
\(60\) | 2.87841 | + | 5.40598i | 0.371602 | + | 0.697909i | ||||
\(61\) | 3.15664 | − | 3.28641i | 0.404166 | − | 0.420781i | −0.487750 | − | 0.872984i | \(-0.662182\pi\) |
0.891915 | + | 0.452202i | \(0.149362\pi\) | |||||||
\(62\) | −1.32211 | + | 0.660287i | −0.167908 | + | 0.0838565i | ||||
\(63\) | −0.824114 | + | 4.03678i | −0.103829 | + | 0.508586i | ||||
\(64\) | −0.520214 | + | 0.273029i | −0.0650268 | + | 0.0341287i | ||||
\(65\) | −1.71053 | + | 7.87871i | −0.212165 | + | 0.977234i | ||||
\(66\) | 14.1028 | + | 7.40175i | 1.73594 | + | 0.911092i | ||||
\(67\) | −3.83788 | + | 4.70055i | −0.468872 | + | 0.574264i | −0.953858 | − | 0.300258i | \(-0.902927\pi\) |
0.484986 | + | 0.874522i | \(0.338825\pi\) | |||||||
\(68\) | −0.553382 | + | 1.37498i | −0.0671074 | + | 0.166741i | ||||
\(69\) | −2.89727 | + | 1.83212i | −0.348790 | + | 0.220561i | ||||
\(70\) | −1.16995 | + | 6.60554i | −0.139836 | + | 0.789513i | ||||
\(71\) | −1.75334 | + | 7.78507i | −0.208083 | + | 0.923918i | 0.755213 | + | 0.655479i | \(0.227533\pi\) |
−0.963297 | + | 0.268439i | \(0.913492\pi\) | |||||||
\(72\) | −1.14054 | − | 3.41632i | −0.134413 | − | 0.402617i | ||||
\(73\) | 0.241133 | − | 0.349342i | 0.0282225 | − | 0.0408874i | −0.808619 | − | 0.588333i | \(-0.799784\pi\) |
0.836841 | + | 0.547446i | \(0.184400\pi\) | |||||||
\(74\) | −17.5670 | + | 3.58633i | −2.04212 | + | 0.416902i | ||||
\(75\) | −10.9443 | + | 4.04776i | −1.26374 | + | 0.467396i | ||||
\(76\) | −1.17118 | − | 0.843724i | −0.134343 | − | 0.0967818i | ||||
\(77\) | 2.64775 | + | 5.88306i | 0.301739 | + | 0.670436i | ||||
\(78\) | −5.57195 | + | 13.9162i | −0.630899 | + | 1.57570i | ||||
\(79\) | −0.554684 | + | 0.210364i | −0.0624068 | + | 0.0236678i | −0.385611 | − | 0.922662i | \(-0.626009\pi\) |
0.323204 | + | 0.946329i | \(0.395240\pi\) | |||||||
\(80\) | −3.79285 | − | 10.4456i | −0.424054 | − | 1.16786i | ||||
\(81\) | 10.2200 | − | 1.66091i | 1.13556 | − | 0.184546i | ||||
\(82\) | −13.9041 | + | 5.59593i | −1.53546 | + | 0.617968i | ||||
\(83\) | 4.11957 | + | 7.84919i | 0.452182 | + | 0.861561i | 0.999693 | + | 0.0247625i | \(0.00788296\pi\) |
−0.547511 | + | 0.836798i | \(0.684425\pi\) | |||||||
\(84\) | −1.54845 | + | 4.34487i | −0.168950 | + | 0.474064i | ||||
\(85\) | −2.45394 | − | 1.39739i | −0.266167 | − | 0.151568i | ||||
\(86\) | 6.34965 | + | 1.97863i | 0.684700 | + | 0.213361i | ||||
\(87\) | −3.91668 | − | 9.73172i | −0.419912 | − | 1.04335i | ||||
\(88\) | −4.57596 | − | 3.29655i | −0.487799 | − | 0.351414i | ||||
\(89\) | 13.4086 | + | 3.59282i | 1.42131 | + | 0.380838i | 0.885947 | − | 0.463787i | \(-0.153510\pi\) |
0.535359 | + | 0.844625i | \(0.320176\pi\) | |||||||
\(90\) | −9.57540 | + | 1.81368i | −1.00934 | + | 0.191179i | ||||
\(91\) | −5.25299 | + | 3.04533i | −0.550663 | + | 0.319237i | ||||
\(92\) | −1.57199 | + | 0.707496i | −0.163891 | + | 0.0737615i | ||||
\(93\) | −0.310555 | − | 1.91092i | −0.0322030 | − | 0.198153i | ||||
\(94\) | −0.339091 | + | 4.20040i | −0.0349746 | + | 0.433238i | ||||
\(95\) | 1.89327 | − | 1.99471i | 0.194245 | − | 0.204653i | ||||
\(96\) | −2.48590 | − | 13.5651i | −0.253716 | − | 1.38448i | ||||
\(97\) | 2.88743 | − | 0.963965i | 0.293174 | − | 0.0978758i | −0.166277 | − | 0.986079i | \(-0.553175\pi\) |
0.459451 | + | 0.888203i | \(0.348046\pi\) | |||||||
\(98\) | 6.26964 | − | 3.96468i | 0.633330 | − | 0.400493i | ||||
\(99\) | −6.62729 | + | 6.62729i | −0.666068 | + | 0.666068i | ||||
\(100\) | −5.73515 | + | 1.24208i | −0.573515 | + | 0.124208i | ||||
\(101\) | 3.76797 | + | 8.84376i | 0.374928 | + | 0.879987i | 0.995404 | + | 0.0957624i | \(0.0305289\pi\) |
−0.620477 | + | 0.784225i | \(0.713061\pi\) | |||||||
\(102\) | −4.06710 | − | 3.32068i | −0.402703 | − | 0.328797i | ||||
\(103\) | 4.86815 | + | 15.6225i | 0.479673 | + | 1.53933i | 0.804736 | + | 0.593633i | \(0.202307\pi\) |
−0.325062 | + | 0.945693i | \(0.605385\pi\) | |||||||
\(104\) | 2.64577 | − | 4.60156i | 0.259439 | − | 0.451220i | ||||
\(105\) | −7.80567 | − | 4.03771i | −0.761756 | − | 0.394040i | ||||
\(106\) | 7.92853 | + | 11.9962i | 0.770087 | + | 1.16517i | ||||
\(107\) | 0.115794 | + | 0.231856i | 0.0111942 | + | 0.0224144i | 0.900162 | − | 0.435556i | \(-0.143448\pi\) |
−0.888967 | + | 0.457971i | \(0.848576\pi\) | |||||||
\(108\) | 1.51566 | − | 0.0305272i | 0.145845 | − | 0.00293748i | ||||
\(109\) | 13.6326 | − | 10.6804i | 1.30576 | − | 1.02300i | 0.308338 | − | 0.951277i | \(-0.400227\pi\) |
0.997425 | − | 0.0717231i | \(-0.0228498\pi\) | |||||||
\(110\) | −10.5056 | + | 11.0685i | −1.00167 | + | 1.05534i | ||||
\(111\) | 2.36106 | − | 23.3690i | 0.224102 | − | 2.21809i | ||||
\(112\) | 3.88948 | − | 7.41078i | 0.367521 | − | 0.700253i | ||||
\(113\) | −5.60691 | − | 6.07779i | −0.527454 | − | 0.571751i | 0.413406 | − | 0.910547i | \(-0.364339\pi\) |
−0.940860 | + | 0.338796i | \(0.889980\pi\) | |||||||
\(114\) | 4.08786 | − | 3.07183i | 0.382863 | − | 0.287703i | ||||
\(115\) | −0.932532 | − | 3.14926i | −0.0869590 | − | 0.293670i | ||||
\(116\) | −1.26249 | − | 5.12213i | −0.117219 | − | 0.475578i | ||||
\(117\) | −6.84277 | − | 5.56663i | −0.632615 | − | 0.514635i | ||||
\(118\) | −4.69629 | + | 2.83901i | −0.432328 | + | 0.261352i | ||||
\(119\) | −0.467283 | − | 2.07480i | −0.0428358 | − | 0.190197i | ||||
\(120\) | 7.67426 | − | 0.354990i | 0.700561 | − | 0.0324060i | ||||
\(121\) | −0.589660 | + | 3.62833i | −0.0536055 | + | 0.329848i | ||||
\(122\) | 2.87863 | + | 7.59033i | 0.260619 | + | 0.687196i | ||||
\(123\) | −1.57994 | − | 19.5711i | −0.142458 | − | 1.76466i | ||||
\(124\) | −0.0196050 | − | 0.973383i | −0.00176058 | − | 0.0874124i | ||||
\(125\) | −0.874055 | − | 11.1461i | −0.0781778 | − | 0.996939i | ||||
\(126\) | −5.86768 | − | 4.40928i | −0.522735 | − | 0.392810i | ||||
\(127\) | −0.989473 | − | 9.79349i | −0.0878015 | − | 0.869031i | −0.938938 | − | 0.344087i | \(-0.888189\pi\) |
0.851136 | − | 0.524945i | \(-0.175914\pi\) | |||||||
\(128\) | 0.433744 | + | 10.7632i | 0.0383379 | + | 0.951345i | ||||
\(129\) | −4.94941 | + | 7.17045i | −0.435771 | + | 0.631323i | ||||
\(130\) | −11.3742 | − | 8.77003i | −0.997582 | − | 0.769182i | ||||
\(131\) | 7.45763 | + | 10.8042i | 0.651576 | + | 0.943971i | 0.999978 | + | 0.00662552i | \(0.00210898\pi\) |
−0.348402 | + | 0.937345i | \(0.613276\pi\) | |||||||
\(132\) | −8.38838 | + | 6.30346i | −0.730114 | + | 0.548645i | ||||
\(133\) | 2.07079 | + | 0.0417081i | 0.179560 | + | 0.00361655i | ||||
\(134\) | −4.63438 | − | 9.76676i | −0.400350 | − | 0.843719i | ||||
\(135\) | −0.331091 | + | 2.86930i | −0.0284958 | + | 0.246950i | ||||
\(136\) | 1.26064 | + | 1.36651i | 0.108099 | + | 0.117178i | ||||
\(137\) | 0.625600 | − | 0.832523i | 0.0534486 | − | 0.0711272i | −0.771927 | − | 0.635711i | \(-0.780707\pi\) |
0.825376 | + | 0.564584i | \(0.190963\pi\) | |||||||
\(138\) | −0.736090 | − | 6.06225i | −0.0626601 | − | 0.516053i | ||||
\(139\) | −1.70987 | − | 5.12169i | −0.145029 | − | 0.434416i | 0.850817 | − | 0.525461i | \(-0.176107\pi\) |
−0.995847 | + | 0.0910457i | \(0.970979\pi\) | |||||||
\(140\) | −3.60113 | − | 2.56188i | −0.304351 | − | 0.216519i | ||||
\(141\) | −5.12134 | − | 2.06116i | −0.431295 | − | 0.173581i | ||||
\(142\) | −11.1908 | − | 8.76741i | −0.939109 | − | 0.735745i | ||||
\(143\) | −13.7888 | − | 0.809372i | −1.15308 | − | 0.0676831i | ||||
\(144\) | 12.0702 | + | 1.46559i | 1.00585 | + | 0.122132i | ||||
\(145\) | 9.99402 | − | 1.06982i | 0.829958 | − | 0.0888434i | ||||
\(146\) | 0.378100 | + | 0.654889i | 0.0312918 | + | 0.0541990i | ||||
\(147\) | 2.51517 | + | 9.38672i | 0.207447 | + | 0.774204i | ||||
\(148\) | 2.82674 | − | 11.4685i | 0.232357 | − | 0.942707i | ||||
\(149\) | −2.29312 | − | 3.18309i | −0.187859 | − | 0.260769i | 0.706904 | − | 0.707310i | \(-0.250091\pi\) |
−0.894763 | + | 0.446541i | \(0.852656\pi\) | |||||||
\(150\) | 1.84347 | − | 20.7058i | 0.150518 | − | 1.69062i | ||||
\(151\) | −6.69837 | + | 3.01469i | −0.545105 | + | 0.245332i | −0.664205 | − | 0.747550i | \(-0.731230\pi\) |
0.119100 | + | 0.992882i | \(0.461999\pi\) | |||||||
\(152\) | −1.58596 | + | 0.873552i | −0.128638 | + | 0.0708544i | ||||
\(153\) | 2.57760 | − | 1.70359i | 0.208386 | − | 0.137727i | ||||
\(154\) | −11.4907 | − | 0.231435i | −0.925945 | − | 0.0186496i | ||||
\(155\) | 1.84271 | + | 0.212632i | 0.148010 | + | 0.0170790i | ||||
\(156\) | −6.70914 | − | 7.24659i | −0.537161 | − | 0.580192i | ||||
\(157\) | −14.6289 | − | 0.884888i | −1.16752 | − | 0.0706217i | −0.534782 | − | 0.844990i | \(-0.679606\pi\) |
−0.632735 | + | 0.774369i | \(0.718068\pi\) | |||||||
\(158\) | 0.0850393 | − | 1.05340i | 0.00676536 | − | 0.0838040i | ||||
\(159\) | −18.0939 | + | 5.24095i | −1.43494 | + | 0.415635i | ||||
\(160\) | 13.1543 | + | 1.25004i | 1.03994 | + | 0.0988247i | ||||
\(161\) | 1.27968 | − | 2.11685i | 0.100853 | − | 0.166831i | ||||
\(162\) | −5.13186 | + | 17.7172i | −0.403197 | + | 1.39200i | ||||
\(163\) | −10.8645 | − | 4.62893i | −0.850973 | − | 0.362566i | −0.0779603 | − | 0.996956i | \(-0.524841\pi\) |
−0.773012 | + | 0.634391i | \(0.781251\pi\) | |||||||
\(164\) | 0.596178 | − | 9.85600i | 0.0465537 | − | 0.769624i | ||||
\(165\) | −9.74910 | − | 17.4533i | −0.758967 | − | 1.35874i | ||||
\(166\) | −15.7791 | + | 0.635877i | −1.22470 | + | 0.0493537i | ||||
\(167\) | 16.8301 | + | 7.98599i | 1.30235 | + | 0.617975i | 0.948337 | − | 0.317264i | \(-0.102764\pi\) |
0.354017 | + | 0.935239i | \(0.384816\pi\) | |||||||
\(168\) | 4.09123 | + | 4.09123i | 0.315645 | + | 0.315645i | ||||
\(169\) | −0.569823 | − | 12.9875i | −0.0438325 | − | 0.999039i | ||||
\(170\) | 4.12313 | − | 2.88235i | 0.316230 | − | 0.221066i | ||||
\(171\) | 1.01013 | + | 2.83437i | 0.0772465 | + | 0.216749i | ||||
\(172\) | −2.97093 | + | 3.22044i | −0.226532 | + | 0.245556i | ||||
\(173\) | 1.94015 | − | 19.2030i | 0.147507 | − | 1.45998i | −0.602272 | − | 0.798291i | \(-0.705738\pi\) |
0.749779 | − | 0.661688i | \(-0.230160\pi\) | |||||||
\(174\) | 18.6541 | + | 1.12836i | 1.41416 | + | 0.0855409i | ||||
\(175\) | 5.76024 | − | 6.14163i | 0.435433 | − | 0.464263i | ||||
\(176\) | 16.6767 | − | 9.18560i | 1.25705 | − | 0.692390i | ||||
\(177\) | −1.72046 | − | 6.98019i | −0.129318 | − | 0.524663i | ||||
\(178\) | −16.0227 | + | 18.8368i | −1.20095 | + | 1.41188i | ||||
\(179\) | 0.776548 | + | 2.68095i | 0.0580419 | + | 0.200384i | 0.984299 | − | 0.176508i | \(-0.0564801\pi\) |
−0.926257 | + | 0.376892i | \(0.876993\pi\) | |||||||
\(180\) | 1.62481 | − | 6.21140i | 0.121106 | − | 0.462970i | ||||
\(181\) | −10.8362 | − | 12.2316i | −0.805451 | − | 0.909167i | 0.191936 | − | 0.981407i | \(-0.438523\pi\) |
−0.997387 | + | 0.0722409i | \(0.976985\pi\) | |||||||
\(182\) | −0.889641 | − | 10.7802i | −0.0659445 | − | 0.799085i | ||||
\(183\) | −10.6153 | + | 0.642105i | −0.784702 | + | 0.0474657i | ||||
\(184\) | −0.0435439 | + | 2.16194i | −0.00321010 | + | 0.159380i | ||||
\(185\) | 20.9268 | + | 8.27804i | 1.53857 | + | 0.608613i | ||||
\(186\) | 3.31273 | + | 0.959544i | 0.242901 | + | 0.0703572i | ||||
\(187\) | 1.71559 | − | 4.52365i | 0.125457 | − | 0.330802i | ||||
\(188\) | −2.40426 | − | 1.38810i | −0.175349 | − | 0.101238i | ||||
\(189\) | −1.76498 | + | 1.27150i | −0.128383 | + | 0.0924881i | ||||
\(190\) | 1.76453 | + | 4.57051i | 0.128012 | + | 0.331580i | ||||
\(191\) | −1.40892 | + | 2.44032i | −0.101946 | + | 0.176575i | −0.912486 | − | 0.409107i | \(-0.865840\pi\) |
0.810541 | + | 0.585683i | \(0.199173\pi\) | |||||||
\(192\) | 1.32440 | + | 0.354871i | 0.0955802 | + | 0.0256106i | ||||
\(193\) | −4.50437 | − | 15.5509i | −0.324231 | − | 1.11938i | −0.942721 | − | 0.333583i | \(-0.891742\pi\) |
0.618489 | − | 0.785793i | \(-0.287745\pi\) | |||||||
\(194\) | −0.653663 | + | 5.38340i | −0.0469303 | + | 0.386506i | ||||
\(195\) | 15.4018 | − | 10.8078i | 1.10294 | − | 0.773966i | ||||
\(196\) | 0.589058 | + | 4.85133i | 0.0420756 | + | 0.346524i | ||||
\(197\) | 10.8582 | − | 4.62626i | 0.773618 | − | 0.329608i | 0.0311721 | − | 0.999514i | \(-0.490076\pi\) |
0.742446 | + | 0.669906i | \(0.233666\pi\) | |||||||
\(198\) | −5.60513 | − | 15.7277i | −0.398340 | − | 1.11772i | ||||
\(199\) | −23.6502 | + | 7.89559i | −1.67652 | + | 0.559704i | −0.986453 | − | 0.164044i | \(-0.947546\pi\) |
−0.690064 | + | 0.723748i | \(0.742418\pi\) | |||||||
\(200\) | −1.67642 | + | 7.16738i | −0.118541 | + | 0.506810i | ||||
\(201\) | 14.0216 | − | 1.98981i | 0.989009 | − | 0.140350i | ||||
\(202\) | −17.1113 | − | 0.689564i | −1.20395 | − | 0.0485175i | ||||
\(203\) | 5.66605 | + | 5.01968i | 0.397679 | + | 0.352313i | ||||
\(204\) | 3.12507 | − | 1.48286i | 0.218798 | − | 0.103821i | ||||
\(205\) | 18.4545 | + | 3.65333i | 1.28892 | + | 0.255159i | ||||
\(206\) | −28.8616 | − | 4.09576i | −2.01089 | − | 0.285365i | ||||
\(207\) | 3.53468 | + | 0.647755i | 0.245677 | + | 0.0450221i | ||||
\(208\) | 10.2055 | + | 14.7289i | 0.707624 | + | 1.02127i | ||||
\(209\) | 3.87762 | + | 2.67653i | 0.268221 | + | 0.185139i | ||||
\(210\) | 12.4598 | − | 9.47937i | 0.859805 | − | 0.654139i | ||||
\(211\) | 3.15095 | − | 3.85921i | 0.216920 | − | 0.265679i | −0.654669 | − | 0.755916i | \(-0.727192\pi\) |
0.871590 | + | 0.490236i | \(0.163089\pi\) | |||||||
\(212\) | −9.37918 | + | 1.33100i | −0.644165 | + | 0.0914136i | ||||
\(213\) | 15.3270 | − | 10.5795i | 1.05019 | − | 0.724893i | ||||
\(214\) | −0.461597 | + | 0.00929709i | −0.0315541 | + | 0.000635536i | ||||
\(215\) | −5.31800 | − | 6.43486i | −0.362685 | − | 0.438854i | ||||
\(216\) | 0.780441 | − | 1.73407i | 0.0531023 | − | 0.117988i | ||||
\(217\) | 0.816577 | + | 1.13350i | 0.0554329 | + | 0.0769467i | ||||
\(218\) | 6.77859 | + | 30.0978i | 0.459104 | + | 2.03848i | ||||
\(219\) | −0.966440 | + | 0.217660i | −0.0653060 | + | 0.0147081i | ||||
\(220\) | −3.62085 | − | 9.37879i | −0.244118 | − | 0.632318i | ||||
\(221\) | 4.40037 | + | 1.17066i | 0.296001 | + | 0.0787473i | ||||
\(222\) | 35.8085 | + | 21.6470i | 2.40331 | + | 1.45285i | ||||
\(223\) | −6.78614 | + | 20.3270i | −0.454434 | + | 1.36119i | 0.433471 | + | 0.901167i | \(0.357289\pi\) |
−0.887905 | + | 0.460027i | \(0.847840\pi\) | |||||||
\(224\) | 5.97830 | + | 7.95567i | 0.399442 | + | 0.531560i | ||||
\(225\) | 11.3100 | + | 4.66057i | 0.753998 | + | 0.310705i | ||||
\(226\) | 14.0640 | − | 4.38252i | 0.935524 | − | 0.291521i | ||||
\(227\) | −7.63360 | − | 9.34947i | −0.506660 | − | 0.620546i | 0.456419 | − | 0.889765i | \(-0.349132\pi\) |
−0.963079 | + | 0.269219i | \(0.913234\pi\) | |||||||
\(228\) | 0.673822 | + | 3.30060i | 0.0446249 | + | 0.218587i | ||||
\(229\) | 13.4266 | + | 17.1377i | 0.887252 | + | 1.13249i | 0.990456 | + | 0.137833i | \(0.0440136\pi\) |
−0.103204 | + | 0.994660i | \(0.532909\pi\) | |||||||
\(230\) | 5.78081 | + | 0.904217i | 0.381175 | + | 0.0596223i | ||||
\(231\) | 4.76782 | − | 14.2814i | 0.313699 | − | 0.939644i | ||||
\(232\) | −6.48364 | − | 1.32364i | −0.425672 | − | 0.0869015i | ||||
\(233\) | 23.4492 | + | 7.30705i | 1.53620 | + | 0.478701i | 0.944793 | − | 0.327669i | \(-0.106263\pi\) |
0.591412 | + | 0.806369i | \(0.298571\pi\) | |||||||
\(234\) | 14.1851 | − | 6.76197i | 0.927311 | − | 0.442044i | ||||
\(235\) | 3.23727 | − | 4.18307i | 0.211176 | − | 0.272874i | ||||
\(236\) | −0.363416 | − | 3.59697i | −0.0236564 | − | 0.234143i | ||||
\(237\) | 1.28436 | + | 0.516910i | 0.0834282 | + | 0.0335769i | ||||
\(238\) | 3.69618 | + | 0.832450i | 0.239588 | + | 0.0539597i | ||||
\(239\) | −18.9870 | − | 18.9870i | −1.22817 | − | 1.22817i | −0.964657 | − | 0.263508i | \(-0.915120\pi\) |
−0.263508 | − | 0.964657i | \(-0.584880\pi\) | |||||||
\(240\) | −10.0236 | + | 23.9198i | −0.647022 | + | 1.54402i | ||||
\(241\) | −24.2306 | − | 12.1012i | −1.56083 | − | 0.779509i | −0.561964 | − | 0.827162i | \(-0.689954\pi\) |
−0.998864 | + | 0.0476531i | \(0.984826\pi\) | |||||||
\(242\) | −5.38934 | − | 3.72000i | −0.346440 | − | 0.239130i | ||||
\(243\) | −16.9263 | − | 11.1869i | −1.08582 | − | 0.717642i | ||||
\(244\) | −5.33067 | − | 0.430336i | −0.341261 | − | 0.0275494i | ||||
\(245\) | −9.31005 | − | 0.132127i | −0.594797 | − | 0.00844129i | ||||
\(246\) | 32.7056 | + | 12.4036i | 2.08523 | + | 0.790824i | ||||
\(247\) | −2.13252 | + | 3.88806i | −0.135689 | + | 0.247391i | ||||
\(248\) | −1.11365 | − | 0.501211i | −0.0707165 | − | 0.0318269i | ||||
\(249\) | 5.35444 | − | 19.9830i | 0.339324 | − | 1.26637i | ||||
\(250\) | 18.6068 | + | 7.10555i | 1.17680 | + | 0.449394i | ||||
\(251\) | −5.88505 | + | 13.8127i | −0.371461 | + | 0.871851i | 0.624412 | + | 0.781095i | \(0.285339\pi\) |
−0.995873 | + | 0.0907561i | \(0.971072\pi\) | |||||||
\(252\) | 4.28151 | − | 2.24711i | 0.269710 | − | 0.141555i | ||||
\(253\) | 5.08372 | − | 2.41226i | 0.319611 | − | 0.151657i | ||||
\(254\) | 16.5179 | + | 5.88678i | 1.03643 | + | 0.369369i | ||||
\(255\) | 1.99805 | + | 6.28022i | 0.125123 | + | 0.393283i | ||||
\(256\) | −18.7353 | − | 7.98237i | −1.17096 | − | 0.498898i | ||||
\(257\) | −6.49866 | + | 9.02082i | −0.405375 | + | 0.562703i | −0.963723 | − | 0.266903i | \(-0.914000\pi\) |
0.558348 | + | 0.829607i | \(0.311435\pi\) | |||||||
\(258\) | −7.76074 | − | 13.4420i | −0.483162 | − | 0.836862i | ||||
\(259\) | 6.01013 | + | 15.8474i | 0.373451 | + | 0.984711i | ||||
\(260\) | 8.43213 | − | 4.29295i | 0.522939 | − | 0.266238i | ||||
\(261\) | −3.89962 | + | 10.2825i | −0.241381 | + | 0.636468i | ||||
\(262\) | −23.0845 | + | 3.75159i | −1.42616 | + | 0.231774i | ||||
\(263\) | 6.44929 | − | 5.48579i | 0.397680 | − | 0.338268i | −0.426610 | − | 0.904436i | \(-0.640292\pi\) |
0.824290 | + | 0.566167i | \(0.191574\pi\) | |||||||
\(264\) | 2.63272 | + | 12.8959i | 0.162033 | + | 0.793688i | ||||
\(265\) | −0.107345 | − | 18.0486i | −0.00659416 | − | 1.10872i | ||||
\(266\) | −1.64859 | + | 3.30102i | −0.101082 | + | 0.202398i | ||||
\(267\) | −17.3148 | − | 27.3812i | −1.05965 | − | 1.67570i | ||||
\(268\) | 7.12191 | 0.435040 | ||||||||
\(269\) | 5.48738 | + | 8.67760i | 0.334572 | + | 0.529083i | 0.970009 | − | 0.243070i | \(-0.0781544\pi\) |
−0.635437 | + | 0.772153i | \(0.719180\pi\) | |||||||
\(270\) | −4.36518 | − | 2.72417i | −0.265657 | − | 0.165787i | ||||
\(271\) | −24.9109 | + | 2.51684i | −1.51323 | + | 0.152887i | −0.821891 | − | 0.569645i | \(-0.807081\pi\) |
−0.691338 | + | 0.722532i | \(0.742978\pi\) | |||||||
\(272\) | −5.99221 | + | 1.86725i | −0.363331 | + | 0.113219i | ||||
\(273\) | 13.8297 | + | 3.08879i | 0.837014 | + | 0.186942i | ||||
\(274\) | 0.862146 | + | 1.64268i | 0.0520841 | + | 0.0992380i | ||||
\(275\) | 18.6351 | − | 4.43053i | 1.12374 | − | 0.267171i | ||||
\(276\) | 3.81607 | + | 1.27399i | 0.229700 | + | 0.0766853i | ||||
\(277\) | 0.00621375 | + | 0.308510i | 0.000373348 | + | 0.0185366i | 0.999941 | − | 0.0108679i | \(-0.00345943\pi\) |
−0.999568 | + | 0.0294045i | \(0.990639\pi\) | |||||||
\(278\) | 9.54901 | + | 1.15946i | 0.572712 | + | 0.0695398i | ||||
\(279\) | −1.11903 | + | 1.69313i | −0.0669944 | + | 0.101365i | ||||
\(280\) | −4.83978 | + | 2.70341i | −0.289232 | + | 0.161560i | ||||
\(281\) | 0.358937 | + | 1.15187i | 0.0214124 | + | 0.0687148i | 0.964809 | − | 0.262953i | \(-0.0846964\pi\) |
−0.943396 | + | 0.331668i | \(0.892389\pi\) | |||||||
\(282\) | 7.22855 | − | 6.66851i | 0.430454 | − | 0.397104i | ||||
\(283\) | −9.15256 | − | 1.29884i | −0.544063 | − | 0.0772081i | −0.136937 | − | 0.990580i | \(-0.543726\pi\) |
−0.407127 | + | 0.913372i | \(0.633469\pi\) | |||||||
\(284\) | 8.37878 | − | 4.18453i | 0.497189 | − | 0.248306i | ||||
\(285\) | −6.40411 | + | 0.425619i | −0.379347 | + | 0.0252115i | ||||
\(286\) | 11.8332 | − | 21.5745i | 0.699712 | − | 1.27573i | ||||
\(287\) | 7.32981 | + | 12.1250i | 0.432665 | + | 0.715715i | ||||
\(288\) | −7.72689 | + | 12.2191i | −0.455311 | + | 0.720017i | ||||
\(289\) | 8.23350 | − | 13.0202i | 0.484323 | − | 0.765896i | ||||
\(290\) | −5.91061 | + | 16.9021i | −0.347083 | + | 0.992523i | ||||
\(291\) | −6.47834 | − | 2.91566i | −0.379767 | − | 0.170919i | ||||
\(292\) | −0.496566 | + | 0.0400870i | −0.0290594 | + | 0.00234591i | ||||
\(293\) | −1.31319 | + | 1.36718i | −0.0767174 | + | 0.0798712i | −0.758455 | − | 0.651726i | \(-0.774045\pi\) |
0.681737 | + | 0.731597i | \(0.261225\pi\) | |||||||
\(294\) | −17.0285 | − | 3.12058i | −0.993120 | − | 0.181996i | ||||
\(295\) | 6.88404 | + | 0.236418i | 0.400804 | + | 0.0137648i | ||||
\(296\) | −11.4769 | − | 9.37056i | −0.667079 | − | 0.544653i | ||||
\(297\) | −4.94440 | + | 0.199252i | −0.286903 | + | 0.0115618i | ||||
\(298\) | 6.87433 | − | 1.25977i | 0.398219 | − | 0.0729763i | ||||
\(299\) | 2.74790 | + | 4.52730i | 0.158915 | + | 0.261821i | ||||
\(300\) | 11.8033 | + | 6.94497i | 0.681461 | + | 0.400968i | ||||
\(301\) | 0.883350 | − | 6.22471i | 0.0509155 | − | 0.358786i | ||||
\(302\) | 0.263509 | − | 13.0831i | 0.0151632 | − | 0.752849i | ||||
\(303\) | 7.53140 | − | 21.1327i | 0.432668 | − | 1.21404i | ||||
\(304\) | −0.369060 | − | 6.10130i | −0.0211671 | − | 0.349933i | ||||
\(305\) | 2.17961 | − | 9.95356i | 0.124804 | − | 0.569939i | ||||
\(306\) | 0.773352 | + | 5.44959i | 0.0442096 | + | 0.311532i | ||||
\(307\) | −13.3665 | + | 1.62299i | −0.762869 | + | 0.0926291i | −0.492718 | − | 0.870189i | \(-0.663997\pi\) |
−0.270151 | + | 0.962818i | \(0.587074\pi\) | |||||||
\(308\) | 3.38295 | − | 6.77376i | 0.192762 | − | 0.385971i | ||||
\(309\) | 16.3711 | − | 34.5014i | 0.931320 | − | 1.96272i | ||||
\(310\) | −1.74950 | + | 2.80339i | −0.0993650 | + | 0.159222i | ||||
\(311\) | −23.3470 | + | 2.83484i | −1.32389 | + | 0.160749i | −0.751771 | − | 0.659425i | \(-0.770800\pi\) |
−0.572115 | + | 0.820173i | \(0.693877\pi\) | |||||||
\(312\) | −11.8201 | + | 3.70645i | −0.669182 | + | 0.209837i | ||||
\(313\) | −2.88380 | − | 3.68090i | −0.163002 | − | 0.208056i | 0.698778 | − | 0.715338i | \(-0.253727\pi\) |
−0.861780 | + | 0.507282i | \(0.830650\pi\) | |||||||
\(314\) | 12.5963 | − | 22.8690i | 0.710853 | − | 1.29057i | ||||
\(315\) | 3.14430 | + | 8.65951i | 0.177161 | + | 0.487908i | ||||
\(316\) | 0.602955 | + | 0.348117i | 0.0339189 | + | 0.0195831i | ||||
\(317\) | 10.0393 | + | 2.47447i | 0.563864 | + | 0.138980i | 0.510936 | − | 0.859618i | \(-0.329299\pi\) |
0.0529271 | + | 0.998598i | \(0.483145\pi\) | |||||||
\(318\) | 5.38317 | − | 33.1240i | 0.301873 | − | 1.85750i | ||||
\(319\) | 4.45685 | + | 16.6332i | 0.249536 | + | 0.931281i | ||||
\(320\) | −0.672934 | + | 1.12827i | −0.0376182 | + | 0.0630723i | ||||
\(321\) | 0.168274 | − | 0.580950i | 0.00939215 | − | 0.0324255i | ||||
\(322\) | 2.42971 | + | 3.67625i | 0.135402 | + | 0.204869i | ||||
\(323\) | −1.07597 | − | 1.12020i | −0.0598684 | − | 0.0623296i | ||||
\(324\) | −9.09576 | − | 8.05814i | −0.505320 | − | 0.447674i | ||||
\(325\) | 5.94220 | + | 17.0203i | 0.329614 | + | 0.944116i | ||||
\(326\) | 15.7473 | − | 13.9509i | 0.872164 | − | 0.772670i | ||||
\(327\) | −40.2857 | − | 3.25219i | −2.22780 | − | 0.179847i | ||||
\(328\) | −10.8489 | − | 5.97561i | −0.599030 | − | 0.329948i | ||||
\(329\) | 3.97069 | − | 0.320547i | 0.218911 | − | 0.0176723i | ||||
\(330\) | 35.5359 | − | 2.36173i | 1.95619 | − | 0.130009i | ||||
\(331\) | −14.1274 | − | 25.6487i | −0.776514 | − | 1.40978i | −0.908220 | − | 0.418493i | \(-0.862558\pi\) |
0.131706 | − | 0.991289i | \(-0.457955\pi\) | |||||||
\(332\) | 4.07789 | − | 9.57116i | 0.223803 | − | 0.525285i | ||||
\(333\) | −18.4303 | + | 16.3278i | −1.00998 | + | 0.894760i | ||||
\(334\) | −25.7064 | + | 20.9886i | −1.40659 | + | 1.14845i | ||||
\(335\) | −1.82657 | + | 13.4457i | −0.0997960 | + | 0.734616i | ||||
\(336\) | −18.3989 | + | 6.55713i | −1.00374 | + | 0.357721i | ||||
\(337\) | −8.42602 | + | 8.42602i | −0.458995 | + | 0.458995i | −0.898325 | − | 0.439331i | \(-0.855216\pi\) |
0.439331 | + | 0.898325i | \(0.355216\pi\) | |||||||
\(338\) | 21.3381 | + | 9.00146i | 1.16064 | + | 0.489615i | ||||
\(339\) | 19.2981i | 1.04813i | ||||||||
\(340\) | 0.551084 | + | 3.26808i | 0.0298867 | + | 0.177236i | ||||
\(341\) | 0.127963 | + | 3.17537i | 0.00692958 | + | 0.171956i | ||||
\(342\) | −5.33325 | − | 0.538839i | −0.288389 | − | 0.0291371i | ||||
\(343\) | −12.4671 | − | 14.0725i | −0.673162 | − | 0.759843i | ||||
\(344\) | 2.05202 | + | 5.09863i | 0.110638 | + | 0.274899i | ||||
\(345\) | −3.38392 | + | 6.87773i | −0.182184 | + | 0.370285i | ||||
\(346\) | 29.4249 | + | 17.7880i | 1.58189 | + | 0.956288i | ||||
\(347\) | 0.744700 | + | 0.633445i | 0.0399776 | + | 0.0340051i | 0.667681 | − | 0.744447i | \(-0.267287\pi\) |
−0.627703 | + | 0.778453i | \(0.716005\pi\) | |||||||
\(348\) | −5.93988 | + | 10.7840i | −0.318411 | + | 0.578084i | ||||
\(349\) | −11.3664 | + | 9.66828i | −0.608428 | + | 0.517531i | −0.898213 | − | 0.439561i | \(-0.855134\pi\) |
0.289785 | + | 0.957092i | \(0.406416\pi\) | |||||||
\(350\) | 5.48564 | + | 13.9613i | 0.293220 | + | 0.746262i | ||||
\(351\) | −0.662592 | − | 4.60993i | −0.0353665 | − | 0.246060i | ||||
\(352\) | 1.36685 | + | 22.5967i | 0.0728534 | + | 1.20441i | ||||
\(353\) | −19.9131 | + | 19.1268i | −1.05987 | + | 1.01801i | −0.0600621 | + | 0.998195i | \(0.519130\pi\) |
−0.999804 | + | 0.0198201i | \(0.993691\pi\) | |||||||
\(354\) | 12.5483 | + | 2.56175i | 0.666935 | + | 0.136156i | ||||
\(355\) | 5.75118 | + | 16.8918i | 0.305241 | + | 0.896521i | ||||
\(356\) | −6.68633 | − | 14.8564i | −0.354375 | − | 0.787389i | ||||
\(357\) | −2.48170 | + | 4.29844i | −0.131346 | + | 0.227497i | ||||
\(358\) | −4.90796 | − | 0.797621i | −0.259394 | − | 0.0421556i | ||||
\(359\) | −8.79695 | + | 5.31794i | −0.464285 | + | 0.280670i | −0.730083 | − | 0.683359i | \(-0.760519\pi\) |
0.265798 | + | 0.964029i | \(0.414365\pi\) | |||||||
\(360\) | −6.16545 | − | 5.18147i | −0.324948 | − | 0.273087i | ||||
\(361\) | −15.1445 | + | 8.74367i | −0.797078 | + | 0.460193i | ||||
\(362\) | 27.9620 | − | 8.09929i | 1.46965 | − | 0.425689i | ||||
\(363\) | 6.75309 | − | 5.29071i | 0.354445 | − | 0.277690i | ||||
\(364\) | 6.66754 | + | 2.51506i | 0.349474 | + | 0.131825i | ||||
\(365\) | 0.0516737 | − | 0.947764i | 0.00270472 | − | 0.0496082i | ||||
\(366\) | 7.07344 | − | 17.5753i | 0.369735 | − | 0.918674i | ||||
\(367\) | 25.0016 | − | 8.91025i | 1.30508 | − | 0.465111i | 0.410432 | − | 0.911891i | \(-0.365378\pi\) |
0.894644 | + | 0.446780i | \(0.147429\pi\) | |||||||
\(368\) | −6.53077 | − | 3.26160i | −0.340440 | − | 0.170022i | ||||
\(369\) | −12.6941 | + | 16.2028i | −0.660827 | + | 0.843484i | ||||
\(370\) | −29.3050 | + | 27.3590i | −1.52350 | + | 1.42233i | ||||
\(371\) | 9.99103 | − | 9.21697i | 0.518708 | − | 0.478521i | ||||
\(372\) | −1.50669 | + | 1.70071i | −0.0781184 | + | 0.0881775i | ||||
\(373\) | 23.6262 | + | 8.42007i | 1.22332 | + | 0.435975i | 0.866962 | − | 0.498375i | \(-0.166070\pi\) |
0.356358 | + | 0.934349i | \(0.384018\pi\) | |||||||
\(374\) | 5.97046 | + | 6.21591i | 0.308725 | + | 0.321417i | ||||
\(375\) | −16.1388 | + | 20.5025i | −0.833404 | + | 1.05875i | ||||
\(376\) | −2.86596 | + | 1.97823i | −0.147801 | + | 0.102020i | ||||
\(377\) | −15.1435 | + | 5.77410i | −0.779928 | + | 0.297381i | ||||
\(378\) | −0.698523 | − | 3.81172i | −0.0359282 | − | 0.196054i | ||||
\(379\) | −9.62151 | + | 10.4295i | −0.494224 | + | 0.535730i | −0.931569 | − | 0.363564i | \(-0.881560\pi\) |
0.437345 | + | 0.899294i | \(0.355919\pi\) | |||||||
\(380\) | −3.21866 | − | 0.240578i | −0.165114 | − | 0.0123414i | ||||
\(381\) | −13.8004 | + | 18.3649i | −0.707014 | + | 0.940864i | ||||
\(382\) | −2.85162 | − | 4.13128i | −0.145901 | − | 0.211375i | ||||
\(383\) | 10.1512 | + | 9.75036i | 0.518702 | + | 0.498220i | 0.905734 | − | 0.423846i | \(-0.139320\pi\) |
−0.387032 | + | 0.922066i | \(0.626500\pi\) | |||||||
\(384\) | 16.2882 | − | 19.1490i | 0.831204 | − | 0.977192i | ||||
\(385\) | 11.9208 | + | 8.12405i | 0.607538 | + | 0.414040i | ||||
\(386\) | 28.4686 | + | 4.62660i | 1.44901 | + | 0.235488i | ||||
\(387\) | 8.91046 | − | 2.00680i | 0.452944 | − | 0.102011i | ||||
\(388\) | −3.01953 | − | 1.90944i | −0.153294 | − | 0.0969370i | ||||
\(389\) | −9.09332 | − | 2.24130i | −0.461050 | − | 0.113639i | 0.00194795 | − | 0.999998i | \(-0.499380\pi\) |
−0.462997 | + | 0.886360i | \(0.653226\pi\) | |||||||
\(390\) | 5.63252 | + | 33.0426i | 0.285214 | + | 1.67318i | ||||
\(391\) | −1.80109 | + | 0.443928i | −0.0910850 | + | 0.0224504i | ||||
\(392\) | 5.81462 | + | 1.94120i | 0.293683 | + | 0.0980456i | ||||
\(393\) | 4.30473 | − | 30.3342i | 0.217145 | − | 1.53016i | ||||
\(394\) | −0.846636 | + | 21.0091i | −0.0426529 | + | 1.05842i | ||||
\(395\) | −0.811860 | + | 1.04906i | −0.0408491 | + | 0.0527837i | ||||
\(396\) | 10.9440 | + | 1.10571i | 0.549954 | + | 0.0555639i | ||||
\(397\) | −23.3111 | + | 4.75899i | −1.16995 | + | 0.238847i | −0.745438 | − | 0.666575i | \(-0.767760\pi\) |
−0.424512 | + | 0.905422i | \(0.639554\pi\) | |||||||
\(398\) | 5.35399 | − | 44.0941i | 0.268371 | − | 2.21024i | ||||
\(399\) | −3.48611 | − | 3.34846i | −0.174524 | − | 0.167632i | ||||
\(400\) | −19.4339 | − | 15.4857i | −0.971697 | − | 0.774287i | ||||
\(401\) | −19.8709 | + | 13.1331i | −0.992303 | + | 0.655834i | −0.939420 | − | 0.342767i | \(-0.888636\pi\) |
−0.0528827 | + | 0.998601i | \(0.516841\pi\) | |||||||
\(402\) | −7.50580 | + | 24.0870i | −0.374355 | + | 1.20135i | ||||
\(403\) | −2.96057 | + | 0.425527i | −0.147476 | + | 0.0211970i | ||||
\(404\) | 5.24302 | − | 9.98974i | 0.260850 | − | 0.497008i | ||||
\(405\) | 17.5460 | − | 15.1055i | 0.871868 | − | 0.750597i | ||||
\(406\) | −12.4062 | + | 5.28578i | −0.615708 | + | 0.262329i | ||||
\(407\) | −8.47128 | + | 37.6136i | −0.419906 | + | 1.86444i | ||||
\(408\) | − | 4.33893i | − | 0.214809i | ||||||
\(409\) | 24.9839 | + | 5.62684i | 1.23537 | + | 0.278229i | 0.787751 | − | 0.615994i | \(-0.211245\pi\) |
0.447622 | + | 0.894223i | \(0.352271\pi\) | |||||||
\(410\) | −19.9737 | + | 26.9119i | −0.986429 | + | 1.32908i | ||||
\(411\) | −2.39054 | + | 0.438082i | −0.117917 | + | 0.0216090i | ||||
\(412\) | 10.5889 | − | 16.0214i | 0.521676 | − | 0.789318i | ||||
\(413\) | 3.36113 | + | 3.95147i | 0.165391 | + | 0.194439i | ||||
\(414\) | −3.74198 | + | 5.19426i | −0.183908 | + | 0.255284i | ||||
\(415\) | 17.0238 | + | 10.1535i | 0.835666 | + | 0.498415i | ||||
\(416\) | −21.0242 | + | 3.45530i | −1.03080 | + | 0.169410i | ||||
\(417\) | −5.17177 | + | 11.4912i | −0.253263 | + | 0.562727i | ||||
\(418\) | −7.26913 | + | 4.19683i | −0.355545 | + | 0.205274i | ||||
\(419\) | −2.21572 | − | 13.6339i | −0.108245 | − | 0.666058i | −0.983294 | − | 0.182024i | \(-0.941735\pi\) |
0.875049 | − | 0.484034i | \(-0.160829\pi\) | |||||||
\(420\) | 2.12312 | + | 10.0931i | 0.103598 | + | 0.492492i | ||||
\(421\) | 9.33982 | − | 29.9725i | 0.455195 | − | 1.46077i | −0.387243 | − | 0.921978i | \(-0.626572\pi\) |
0.842438 | − | 0.538794i | \(-0.181120\pi\) | |||||||
\(422\) | 3.80489 | + | 8.01864i | 0.185219 | + | 0.390341i | ||||
\(423\) | 2.48095 | + | 5.22849i | 0.120628 | + | 0.254218i | ||||
\(424\) | −3.53520 | + | 11.3449i | −0.171685 | + | 0.550955i | ||||
\(425\) | −6.31123 | + | 0.202239i | −0.306140 | + | 0.00981005i | ||||
\(426\) | 5.32205 | + | 32.7479i | 0.257854 | + | 1.58664i | ||||
\(427\) | 6.64581 | − | 3.83696i | 0.321613 | − | 0.185683i | ||||
\(428\) | 0.124831 | − | 0.277363i | 0.00603394 | − | 0.0134069i | ||||
\(429\) | 22.3718 | + | 23.2084i | 1.08012 | + | 1.12051i | ||||
\(430\) | 14.4181 | − | 3.64483i | 0.695301 | − | 0.175769i | ||||
\(431\) | −3.34595 | + | 4.64453i | −0.161169 | + | 0.223719i | −0.884215 | − | 0.467081i | \(-0.845306\pi\) |
0.723046 | + | 0.690800i | \(0.242742\pi\) | |||||||
\(432\) | 4.15934 | + | 4.88987i | 0.200117 | + | 0.235264i | ||||
\(433\) | 16.0548 | − | 24.2916i | 0.771547 | − | 1.16738i | −0.210287 | − | 0.977640i | \(-0.567440\pi\) |
0.981834 | − | 0.189742i | \(-0.0607652\pi\) | |||||||
\(434\) | −2.44794 | + | 0.448602i | −0.117505 | + | 0.0215336i | ||||
\(435\) | −18.8361 | − | 13.9799i | −0.903120 | − | 0.670284i | ||||
\(436\) | −19.8283 | − | 4.46571i | −0.949604 | − | 0.213868i | ||||
\(437\) | − | 1.80653i | − | 0.0864182i | ||||||
\(438\) | 0.387755 | − | 1.72168i | 0.0185276 | − | 0.0822651i | ||||
\(439\) | −37.1593 | + | 15.8321i | −1.77352 | + | 0.755625i | −0.782377 | + | 0.622805i | \(0.785993\pi\) |
−0.991140 | + | 0.132820i | \(0.957597\pi\) | |||||||
\(440\) | −12.5758 | − | 0.939974i | −0.599526 | − | 0.0448115i | ||||
\(441\) | 4.73428 | − | 9.02041i | 0.225442 | − | 0.429543i | ||||
\(442\) | −5.24471 | + | 6.18822i | −0.249466 | + | 0.294344i | ||||
\(443\) | 8.05847 | − | 25.8605i | 0.382869 | − | 1.22867i | −0.539376 | − | 0.842065i | \(-0.681340\pi\) |
0.922245 | − | 0.386606i | \(-0.126353\pi\) | |||||||
\(444\) | −22.9971 | + | 15.1993i | −1.09140 | + | 0.721326i | ||||
\(445\) | 29.7627 | − | 8.81308i | 1.41089 | − | 0.417780i | ||||
\(446\) | −27.5330 | − | 26.4458i | −1.30373 | − | 1.25225i | ||||
\(447\) | −1.10358 | + | 9.08880i | −0.0521975 | + | 0.429885i | ||||
\(448\) | −0.969397 | + | 0.197904i | −0.0457997 | + | 0.00935007i | ||||
\(449\) | −29.9199 | − | 3.02292i | −1.41201 | − | 0.142660i | −0.635175 | − | 0.772368i | \(-0.719072\pi\) |
−0.776832 | + | 0.629708i | \(0.783175\pi\) | |||||||
\(450\) | −16.1385 | + | 14.6437i | −0.760775 | + | 0.690312i | ||||
\(451\) | −1.29780 | + | 32.2045i | −0.0611108 | + | 1.51645i | ||||
\(452\) | −1.36354 | + | 9.60846i | −0.0641355 | + | 0.451944i | ||||
\(453\) | 16.2606 | + | 5.42857i | 0.763988 | + | 0.255057i | ||||
\(454\) | 20.8774 | − | 5.14583i | 0.979827 | − | 0.241506i | ||||
\(455\) | −6.45829 | + | 11.9428i | −0.302769 | + | 0.559887i | ||||
\(456\) | 4.10280 | + | 1.01125i | 0.192131 | + | 0.0473561i | ||||
\(457\) | 7.75745 | + | 4.90551i | 0.362878 | + | 0.229470i | 0.703444 | − | 0.710750i | \(-0.251644\pi\) |
−0.340566 | + | 0.940220i | \(0.610619\pi\) | |||||||
\(458\) | −37.8365 | + | 8.52148i | −1.76798 | + | 0.398183i | ||||
\(459\) | 1.61016 | + | 0.261677i | 0.0751559 | + | 0.0122140i | ||||
\(460\) | −2.17080 | + | 3.18530i | −0.101214 | + | 0.148516i | ||||
\(461\) | 22.5797 | − | 26.5454i | 1.05164 | − | 1.23634i | 0.0807709 | − | 0.996733i | \(-0.474262\pi\) |
0.970869 | − | 0.239612i | \(-0.0770203\pi\) | |||||||
\(462\) | 19.3442 | + | 18.5803i | 0.899972 | + | 0.864435i | ||||
\(463\) | −4.35658 | − | 6.31160i | −0.202468 | − | 0.293325i | 0.708576 | − | 0.705634i | \(-0.249338\pi\) |
−0.911044 | + | 0.412309i | \(0.864722\pi\) | |||||||
\(464\) | 13.4203 | − | 17.8591i | 0.623020 | − | 0.829090i | ||||
\(465\) | −2.82439 | − | 3.28072i | −0.130978 | − | 0.152140i | ||||
\(466\) | −29.6686 | + | 32.1602i | −1.37437 | + | 1.48979i | ||||
\(467\) | 2.04940 | + | 11.1832i | 0.0948347 | + | 0.517496i | 0.996394 | + | 0.0848417i | \(0.0270385\pi\) |
−0.901560 | + | 0.432655i | \(0.857577\pi\) | |||||||
\(468\) | 0.0184780 | + | 10.3526i | 0.000854145 | + | 0.478547i | ||||
\(469\) | −8.41033 | + | 5.80523i | −0.388353 | + | 0.268061i | ||||
\(470\) | 4.26021 | + | 8.40489i | 0.196509 | + | 0.387689i | ||||
\(471\) | 23.6933 | + | 24.6674i | 1.09173 | + | 1.13661i | ||||
\(472\) | −4.27176 | − | 1.52240i | −0.196624 | − | 0.0700740i | ||||
\(473\) | 9.48402 | − | 10.7052i | 0.436076 | − | 0.492228i | ||||
\(474\) | −1.81282 | + | 1.67237i | −0.0832655 | + | 0.0768145i | ||||
\(475\) | 1.27969 | − | 6.01490i | 0.0587162 | − | 0.275983i | ||||
\(476\) | −1.53934 | + | 1.96483i | −0.0705557 | + | 0.0900577i | ||||
\(477\) | 17.6669 | + | 8.82321i | 0.808912 | + | 0.403987i | ||||
\(478\) | 45.0593 | − | 16.0585i | 2.06096 | − | 0.734500i | ||||
\(479\) | 15.3426 | − | 38.1215i | 0.701021 | − | 1.74182i | 0.0309498 | − | 0.999521i | \(-0.490147\pi\) |
0.670071 | − | 0.742297i | \(-0.266263\pi\) | |||||||
\(480\) | −20.5860 | − | 22.9602i | −0.939619 | − | 1.04799i | ||||
\(481\) | −36.0307 | − | 4.30968i | −1.64286 | − | 0.196505i | ||||
\(482\) | 37.9814 | − | 29.7566i | 1.73001 | − | 1.35537i | ||||
\(483\) | −5.54489 | + | 1.60610i | −0.252301 | + | 0.0730799i | ||||
\(484\) | 3.73616 | − | 2.15708i | 0.169826 | − | 0.0980489i | ||||
\(485\) | 4.37931 | − | 5.21095i | 0.198854 | − | 0.236617i | ||||
\(486\) | 30.9316 | − | 18.6988i | 1.40309 | − | 0.848195i | ||||
\(487\) | −29.3335 | − | 4.76716i | −1.32923 | − | 0.216020i | −0.546015 | − | 0.837775i | \(-0.683856\pi\) |
−0.783212 | + | 0.621755i | \(0.786420\pi\) | |||||||
\(488\) | −3.35421 | + | 5.80966i | −0.151838 | + | 0.262991i | ||||
\(489\) | 11.3113 | + | 25.1326i | 0.511514 | + | 1.13654i | ||||
\(490\) | 7.32275 | − | 14.8833i | 0.330808 | − | 0.672359i | ||||
\(491\) | 35.8435 | + | 7.31750i | 1.61759 | + | 0.330234i | 0.921698 | − | 0.387909i | \(-0.126803\pi\) |
0.695896 | + | 0.718143i | \(0.255008\pi\) | |||||||
\(492\) | −16.6192 | + | 15.9630i | −0.749252 | + | 0.719666i | ||||
\(493\) | −0.342751 | − | 5.66635i | −0.0154367 | − | 0.255200i | ||||
\(494\) | −4.62909 | − | 6.40154i | −0.208273 | − | 0.288019i | ||||
\(495\) | −4.89431 | + | 20.3778i | −0.219983 | + | 0.915915i | ||||
\(496\) | 3.14035 | − | 2.67119i | 0.141006 | − | 0.119940i | ||||
\(497\) | −6.48366 | + | 11.7713i | −0.290832 | + | 0.528014i | ||||
\(498\) | 28.0728 | + | 23.8788i | 1.25797 | + | 1.07004i | ||||
\(499\) | 15.0928 | + | 9.12389i | 0.675645 | + | 0.408441i | 0.813146 | − | 0.582060i | \(-0.197753\pi\) |
−0.137501 | + | 0.990502i | \(0.543907\pi\) | |||||||
\(500\) | −9.48410 | + | 9.06783i | −0.424142 | + | 0.405526i | ||||
\(501\) | −16.2320 | − | 40.3314i | −0.725192 | − | 1.80187i | ||||
\(502\) | −17.7367 | − | 20.0206i | −0.791627 | − | 0.893562i | ||||
\(503\) | 10.4971 | + | 1.06056i | 0.468044 | + | 0.0472882i | 0.331724 | − | 0.943377i | \(-0.392370\pi\) |
0.136320 | + | 0.990665i | \(0.456472\pi\) | |||||||
\(504\) | −0.244228 | − | 6.06046i | −0.0108788 | − | 0.269954i | ||||
\(505\) | 17.5152 | + | 12.4605i | 0.779418 | + | 0.554487i | ||||
\(506\) | 10.0243i | 0.445635i | ||||||||
\(507\) | −19.5746 | + | 23.1797i | −0.869337 | + | 1.02945i | ||||
\(508\) | −8.16876 | + | 8.16876i | −0.362430 | + | 0.362430i | ||||
\(509\) | 14.7117 | − | 5.24306i | 0.652085 | − | 0.232394i | 0.0110891 | − | 0.999939i | \(-0.496470\pi\) |
0.640996 | + | 0.767544i | \(0.278521\pi\) | |||||||
\(510\) | −11.6337 | − | 1.58042i | −0.515150 | − | 0.0699820i | ||||
\(511\) | 0.553724 | − | 0.452101i | 0.0244953 | − | 0.0199998i | ||||
\(512\) | 11.0297 | − | 9.77143i | 0.487447 | − | 0.431840i | ||||
\(513\) | −0.622706 | + | 1.46155i | −0.0274932 | + | 0.0645288i | ||||
\(514\) | −9.55568 | − | 17.3486i | −0.421483 | − | 0.765214i | ||||
\(515\) | 27.5315 | + | 24.1001i | 1.21318 | + | 1.06198i | ||||
\(516\) | 10.1923 | − | 0.822809i | 0.448692 | − | 0.0362221i | ||||
\(517\) | 7.93761 | + | 4.37207i | 0.349096 | + | 0.192283i | ||||
\(518\) | −30.0958 | − | 2.42959i | −1.32234 | − | 0.106750i | ||||
\(519\) | −33.7157 | + | 29.8695i | −1.47996 | + | 1.31113i | ||||
\(520\) | −0.330754 | − | 11.8644i | −0.0145045 | − | 0.520287i | ||||
\(521\) | −21.2025 | − | 18.7838i | −0.928899 | − | 0.822933i | 0.0555766 | − | 0.998454i | \(-0.482300\pi\) |
−0.984476 | + | 0.175522i | \(0.943839\pi\) | |||||||
\(522\) | −13.5711 | − | 14.1290i | −0.593992 | − | 0.618411i | ||||
\(523\) | 24.1957 | + | 36.6090i | 1.05800 | + | 1.60080i | 0.764250 | + | 0.644920i | \(0.223109\pi\) |
0.293753 | + | 0.955881i | \(0.405096\pi\) | |||||||
\(524\) | 4.28663 | − | 14.7991i | 0.187262 | − | 0.646504i | ||||
\(525\) | −19.5996 | + | 1.41972i | −0.855395 | + | 0.0619618i | ||||
\(526\) | 3.90386 | + | 14.5694i | 0.170217 | + | 0.635257i | ||||
\(527\) | 0.168053 | − | 1.03407i | 0.00732049 | − | 0.0450448i | ||||
\(528\) | −43.1419 | − | 10.6335i | −1.87751 | − | 0.462765i | ||||
\(529\) | 18.0501 | + | 10.4213i | 0.784789 | + | 0.453098i | ||||
\(530\) | 29.1306 | + | 13.6110i | 1.26535 | + | 0.591223i | ||||
\(531\) | −3.63600 | + | 6.60126i | −0.157789 | + | 0.286470i | ||||
\(532\) | −1.49913 | − | 1.91350i | −0.0649956 | − | 0.0829608i | ||||
\(533\) | −30.2759 | + | 1.88559i | −1.31139 | + | 0.0816742i | ||||
\(534\) | 57.2925 | − | 6.95657i | 2.47929 | − | 0.301040i | ||||
\(535\) | 0.491627 | + | 0.306808i | 0.0212549 | + | 0.0132645i | ||||
\(536\) | 3.82975 | − | 8.07103i | 0.165420 | − | 0.348615i | ||||
\(537\) | 2.91042 | − | 5.82759i | 0.125594 | − | 0.251479i | ||||
\(538\) | −18.1570 | + | 2.20466i | −0.782805 | + | 0.0950498i | ||||
\(539\) | −2.24129 | − | 15.7937i | −0.0965391 | − | 0.680283i | ||||
\(540\) | 2.85421 | − | 1.82875i | 0.122826 | − | 0.0786968i | ||||
\(541\) | 0.993488 | + | 16.4243i | 0.0427134 | + | 0.706136i | 0.955004 | + | 0.296593i | \(0.0958504\pi\) |
−0.912291 | + | 0.409543i | \(0.865688\pi\) | |||||||
\(542\) | 14.9737 | − | 42.0153i | 0.643176 | − | 1.80471i | ||||
\(543\) | −0.767963 | + | 38.1291i | −0.0329564 | + | 1.63627i | ||||
\(544\) | 1.04855 | − | 7.38880i | 0.0449560 | − | 0.316792i | ||||
\(545\) | 13.5163 | − | 36.2891i | 0.578976 | − | 1.55446i | ||||
\(546\) | −15.5331 | + | 19.8996i | −0.664755 | + | 0.851624i | ||||
\(547\) | 7.67116 | − | 1.40579i | 0.327995 | − | 0.0601073i | −0.0137345 | − | 0.999906i | \(-0.504372\pi\) |
0.341729 | + | 0.939798i | \(0.388987\pi\) | |||||||
\(548\) | −1.22119 | + | 0.0492124i | −0.0521668 | + | 0.00210225i | ||||
\(549\) | 8.63560 | + | 7.05075i | 0.368559 | + | 0.300919i | ||||
\(550\) | −7.10090 | + | 33.3762i | −0.302783 | + | 1.42317i | ||||
\(551\) | 5.43786 | + | 0.996525i | 0.231661 | + | 0.0424534i | ||||
\(552\) | 3.49583 | − | 3.63955i | 0.148793 | − | 0.154910i | ||||
\(553\) | −0.995792 | + | 0.0803887i | −0.0423454 | + | 0.00341847i | ||||
\(554\) | −0.501282 | − | 0.225609i | −0.0212974 | − | 0.00958520i | ||||
\(555\) | −22.7971 | − | 47.3151i | −0.967681 | − | 2.00842i | ||||
\(556\) | −3.38694 | + | 5.35601i | −0.143638 | + | 0.227146i | ||||
\(557\) | 11.6414 | − | 18.4095i | 0.493264 | − | 0.780035i | −0.503190 | − | 0.864176i | \(-0.667840\pi\) |
0.996454 | + | 0.0841413i | \(0.0268147\pi\) | |||||||
\(558\) | −1.87044 | − | 3.09409i | −0.0791820 | − | 0.130983i | ||||
\(559\) | 10.9357 | + | 7.84857i | 0.462532 | + | 0.331959i | ||||
\(560\) | −1.24104 | − | 18.6735i | −0.0524437 | − | 0.789098i | ||||
\(561\) | −10.1013 | + | 5.04477i | −0.426475 | + | 0.212990i | ||||
\(562\) | −2.12802 | − | 0.301987i | −0.0897650 | − | 0.0127386i | ||||
\(563\) | 29.0939 | − | 26.8398i | 1.22616 | − | 1.13116i | 0.239070 | − | 0.971002i | \(-0.423157\pi\) |
0.987091 | − | 0.160162i | \(-0.0512017\pi\) | |||||||
\(564\) | 1.92754 | + | 6.18568i | 0.0811639 | + | 0.260464i | ||||
\(565\) | −17.7904 | − | 5.03856i | −0.748448 | − | 0.211974i | ||||
\(566\) | 9.08026 | − | 13.7388i | 0.381672 | − | 0.577485i | ||||
\(567\) | 17.3096 | + | 2.10177i | 0.726936 | + | 0.0882660i | ||||
\(568\) | −0.236570 | − | 11.7456i | −0.00992624 | − | 0.492834i | ||||
\(569\) | −5.71166 | − | 1.90683i | −0.239445 | − | 0.0799385i | 0.194413 | − | 0.980920i | \(-0.437720\pi\) |
−0.433858 | + | 0.900981i | \(0.642848\pi\) | |||||||
\(570\) | 4.20581 | − | 10.6323i | 0.176162 | − | 0.445336i | ||||
\(571\) | −13.7571 | − | 26.2120i | −0.575718 | − | 1.09694i | −0.982995 | − | 0.183634i | \(-0.941214\pi\) |
0.407277 | − | 0.913305i | \(-0.366478\pi\) | |||||||
\(572\) | 9.49899 | + | 13.1361i | 0.397173 | + | 0.549248i | ||||
\(573\) | 6.27844 | − | 1.95644i | 0.262286 | − | 0.0817315i | ||||
\(574\) | −25.1125 | + | 2.53722i | −1.04818 | + | 0.105901i | ||||
\(575\) | −5.45688 | − | 4.91526i | −0.227568 | − | 0.204980i | ||||
\(576\) | −0.768216 | − | 1.21484i | −0.0320090 | − | 0.0506182i | ||||
\(577\) | −6.28412 | −0.261611 | −0.130806 | − | 0.991408i | \(-0.541756\pi\) | ||||
−0.130806 | + | 0.991408i | \(0.541756\pi\) | |||||||
\(578\) | 14.6677 | + | 23.1951i | 0.610096 | + | 0.964789i | ||||
\(579\) | −16.8819 | + | 33.8029i | −0.701586 | + | 1.40480i | ||||
\(580\) | −8.39064 | − | 8.29143i | −0.348402 | − | 0.344283i | ||||
\(581\) | 2.98605 | + | 14.6266i | 0.123882 | + | 0.606815i | ||||
\(582\) | 9.64018 | − | 8.19997i | 0.399598 | − | 0.339900i | ||||
\(583\) | 30.5217 | − | 4.96026i | 1.26408 | − | 0.205433i | ||||
\(584\) | −0.221595 | + | 0.584299i | −0.00916968 | + | 0.0241785i | ||||
\(585\) | −19.5496 | − | 2.62025i | −0.808278 | − | 0.108334i | ||||
\(586\) | −1.19754 | − | 3.15765i | −0.0494698 | − | 0.130441i | ||||
\(587\) | −9.13944 | − | 15.8300i | −0.377225 | − | 0.653373i | 0.613432 | − | 0.789747i | \(-0.289788\pi\) |
−0.990657 | + | 0.136374i | \(0.956455\pi\) | |||||||
\(588\) | 6.66652 | − | 9.25383i | 0.274923 | − | 0.381622i | ||||
\(589\) | 0.938627 | + | 0.399912i | 0.0386755 | + | 0.0164781i | ||||
\(590\) | −5.63786 | + | 10.8991i | −0.232107 | + | 0.448708i | ||||
\(591\) | −25.9464 | − | 9.24694i | −1.06729 | − | 0.380368i | ||||
\(592\) | 45.1892 | − | 21.4425i | 1.85726 | − | 0.881282i | ||||
\(593\) | −30.7147 | + | 16.1203i | −1.26130 | + | 0.661982i | −0.956860 | − | 0.290549i | \(-0.906162\pi\) |
−0.304441 | + | 0.952531i | \(0.598470\pi\) | |||||||
\(594\) | 3.45535 | − | 8.11001i | 0.141775 | − | 0.332758i | ||||
\(595\) | −3.31466 | − | 3.41010i | −0.135888 | − | 0.139800i | ||||
\(596\) | −1.19165 | + | 4.44731i | −0.0488120 | + | 0.182169i | ||||
\(597\) | 53.0624 | + | 23.8815i | 2.17170 | + | 0.977403i | ||||
\(598\) | −9.38511 | + | 0.965139i | −0.383786 | + | 0.0394675i | ||||
\(599\) | −19.0627 | − | 7.22953i | −0.778881 | − | 0.295391i | −0.0670578 | − | 0.997749i | \(-0.521361\pi\) |
−0.711824 | + | 0.702358i | \(0.752130\pi\) | |||||||
\(600\) | 14.2176 | − | 9.64164i | 0.580431 | − | 0.393618i | ||||
\(601\) | −21.0428 | − | 1.69875i | −0.858354 | − | 0.0692935i | −0.356552 | − | 0.934276i | \(-0.616048\pi\) |
−0.501803 | + | 0.864982i | \(0.667330\pi\) | |||||||
\(602\) | 9.34385 | + | 6.17554i | 0.380827 | + | 0.251696i | ||||
\(603\) | −12.2182 | − | 8.43363i | −0.497565 | − | 0.343444i | ||||
\(604\) | 7.71251 | + | 3.85178i | 0.313818 | + | 0.156727i | ||||
\(605\) | 3.11419 | + | 7.60684i | 0.126610 | + | 0.309262i | ||||
\(606\) | 28.2606 | + | 28.2606i | 1.14801 | + | 1.14801i | ||||
\(607\) | 41.7286 | + | 9.39807i | 1.69371 | + | 0.381456i | 0.955933 | − | 0.293586i | \(-0.0948486\pi\) |
0.737780 | + | 0.675041i | \(0.235874\pi\) | |||||||
\(608\) | 6.74231 | + | 2.71355i | 0.273437 | + | 0.110049i | ||||
\(609\) | −1.77584 | − | 17.5767i | −0.0719605 | − | 0.712242i | ||||
\(610\) | 14.3554 | + | 11.1096i | 0.581231 | + | 0.449813i | ||||
\(611\) | −3.32905 | + | 7.85240i | −0.134679 | + | 0.317674i | ||||
\(612\) | −3.46195 | − | 1.07879i | −0.139941 | − | 0.0436073i | ||||
\(613\) | 29.1743 | + | 5.95598i | 1.17834 | + | 0.240560i | 0.748992 | − | 0.662579i | \(-0.230538\pi\) |
0.429348 | + | 0.903139i | \(0.358743\pi\) | |||||||
\(614\) | 7.59590 | − | 22.7525i | 0.306546 | − | 0.918216i | ||||
\(615\) | −25.8746 | − | 35.4700i | −1.04337 | − | 1.43029i | ||||
\(616\) | −5.85733 | − | 7.47632i | −0.235998 | − | 0.301230i | ||||
\(617\) | 1.98339 | + | 9.71529i | 0.0798483 | + | 0.391123i | 1.00000 | 0.000439376i | \(-0.000139858\pi\) | |
−0.920152 | + | 0.391562i | \(0.871935\pi\) | |||||||
\(618\) | 43.0262 | + | 52.6975i | 1.73077 | + | 2.11981i | ||||
\(619\) | −7.47307 | + | 2.32870i | −0.300368 | + | 0.0935984i | −0.443983 | − | 0.896035i | \(-0.646435\pi\) |
0.143615 | + | 0.989634i | \(0.454127\pi\) | |||||||
\(620\) | −1.17445 | − | 1.83302i | −0.0471671 | − | 0.0736158i | ||||
\(621\) | 1.13979 | + | 1.51679i | 0.0457383 | + | 0.0608666i | ||||
\(622\) | 13.2675 | − | 39.7411i | 0.531980 | − | 1.59347i | ||||
\(623\) | 20.0057 | + | 12.0939i | 0.801513 | + | 0.484532i | ||||
\(624\) | 5.80178 | − | 41.4147i | 0.232257 | − | 1.65792i | ||||
\(625\) | −14.6870 | − | 20.2310i | −0.587481 | − | 0.809238i | ||||
\(626\) | 8.12664 | − | 1.83027i | 0.324806 | − | 0.0731523i | ||||
\(627\) | −2.41598 | − | 10.7273i | −0.0964851 | − | 0.428406i | ||||
\(628\) | 10.0539 | + | 13.9559i | 0.401195 | + | 0.556900i | ||||
\(629\) | 5.21644 | − | 11.5905i | 0.207993 | − | 0.462142i | ||||
\(630\) | −16.3385 | − | 1.55263i | −0.650941 | − | 0.0618583i | ||||
\(631\) | 35.9173 | − | 0.723416i | 1.42985 | − | 0.0287987i | 0.700846 | − | 0.713312i | \(-0.252806\pi\) |
0.729000 | + | 0.684514i | \(0.239985\pi\) | |||||||
\(632\) | 0.718744 | − | 0.496113i | 0.0285901 | − | 0.0197343i | ||||
\(633\) | −11.5119 | + | 1.63366i | −0.457559 | + | 0.0649322i | ||||
\(634\) | −11.6496 | + | 14.2682i | −0.462665 | + | 0.566662i | ||||
\(635\) | −13.3270 | − | 17.5171i | −0.528865 | − | 0.695145i | ||||
\(636\) | 18.1947 | + | 12.5589i | 0.721468 | + | 0.497993i | ||||
\(637\) | 14.5708 | − | 3.61898i | 0.577317 | − | 0.143389i | ||||
\(638\) | −30.1743 | − | 5.52964i | −1.19461 | − | 0.218921i | ||||
\(639\) | −19.3297 | − | 2.74308i | −0.764672 | − | 0.108515i | ||||
\(640\) | 13.4002 | + | 20.0153i | 0.529690 | + | 0.791173i | ||||
\(641\) | −31.9028 | + | 15.1381i | −1.26009 | + | 0.597918i | −0.937290 | − | 0.348551i | \(-0.886674\pi\) |
−0.322796 | + | 0.946469i | \(0.604623\pi\) | |||||||
\(642\) | 0.806508 | + | 0.714504i | 0.0318303 | + | 0.0281992i | ||||
\(643\) | 22.9920 | + | 0.926544i | 0.906714 | + | 0.0365393i | 0.489240 | − | 0.872149i | \(-0.337274\pi\) |
0.417475 | + | 0.908689i | \(0.362915\pi\) | |||||||
\(644\) | −2.87426 | + | 0.407887i | −0.113262 | + | 0.0160730i | ||||
\(645\) | −1.06063 | + | 19.4534i | −0.0417624 | + | 0.765977i | ||||
\(646\) | 2.62464 | − | 0.876235i | 0.103265 | − | 0.0344750i | ||||
\(647\) | 10.0783 | + | 28.2793i | 0.396221 | + | 1.11177i | 0.958566 | + | 0.284870i | \(0.0919504\pi\) |
−0.562346 | + | 0.826902i | \(0.690101\pi\) | |||||||
\(648\) | −14.0232 | + | 5.97472i | −0.550883 | + | 0.234709i | ||||
\(649\) | 1.42245 | + | 11.7149i | 0.0558360 | + | 0.459851i | ||||
\(650\) | −31.9317 | − | 3.43465i | −1.25246 | − | 0.134718i | ||||
\(651\) | 0.392984 | − | 3.23652i | 0.0154023 | − | 0.126849i | ||||
\(652\) | 3.85606 | + | 13.3127i | 0.151015 | + | 0.521364i | ||||
\(653\) | 7.63202 | + | 2.04499i | 0.298664 | + | 0.0800268i | 0.405039 | − | 0.914299i | \(-0.367258\pi\) |
−0.106375 | + | 0.994326i | \(0.533924\pi\) | |||||||
\(654\) | 36.0005 | − | 62.3547i | 1.40773 | − | 2.43826i | ||||
\(655\) | 26.8404 | + | 11.8884i | 1.04874 | + | 0.464518i | ||||
\(656\) | 33.9260 | − | 24.4405i | 1.32459 | − | 0.954241i | ||||
\(657\) | 0.899371 | + | 0.519252i | 0.0350878 | + | 0.0202579i | ||||
\(658\) | −2.51651 | + | 6.63549i | −0.0981038 | + | 0.258678i | ||||
\(659\) | −4.63274 | − | 1.34189i | −0.180466 | − | 0.0522726i | 0.186754 | − | 0.982407i | \(-0.440203\pi\) |
−0.367220 | + | 0.930134i | \(0.619690\pi\) | |||||||
\(660\) | −8.63041 | + | 21.8176i | −0.335938 | + | 0.849249i | ||||
\(661\) | 0.457552 | − | 22.7173i | 0.0177967 | − | 0.883599i | −0.887989 | − | 0.459864i | \(-0.847898\pi\) |
0.905786 | − | 0.423735i | \(-0.139281\pi\) | |||||||
\(662\) | 52.0699 | − | 3.14965i | 2.02376 | − | 0.122415i | ||||
\(663\) | −5.69563 | − | 8.97143i | −0.221200 | − | 0.348421i | ||||
\(664\) | −8.65382 | − | 9.76815i | −0.335834 | − | 0.379078i | ||||
\(665\) | 3.99704 | − | 2.33950i | 0.154999 | − | 0.0907219i | ||||
\(666\) | −12.2038 | − | 42.1326i | −0.472889 | − | 1.63260i | ||||
\(667\) | 4.27782 | − | 5.02915i | 0.165638 | − | 0.194730i | ||||
\(668\) | −5.23218 | − | 21.2278i | −0.202439 | − | 0.821327i | ||||
\(669\) | 43.8068 | − | 24.1290i | 1.69367 | − | 0.932880i | ||||
\(670\) | −20.2454 | − | 13.2083i | −0.782148 | − | 0.510280i | ||||
\(671\) | 17.4250 | + | 1.05402i | 0.672686 | + | 0.0406900i | ||||
\(672\) | 2.33459 | − | 23.1070i | 0.0900586 | − | 0.891371i | ||||
\(673\) | −2.60579 | + | 2.82463i | −0.100446 | + | 0.108882i | −0.783210 | − | 0.621758i | \(-0.786419\pi\) |
0.682764 | + | 0.730639i | \(0.260778\pi\) | |||||||
\(674\) | −7.12643 | − | 19.9964i | −0.274500 | − | 0.770231i | ||||
\(675\) | 2.72052 | + | 5.85757i | 0.104713 | + | 0.225458i | ||||
\(676\) | −11.3839 | + | 10.1580i | −0.437843 | + | 0.390693i | ||||
\(677\) | 5.86431 | + | 5.86431i | 0.225384 | + | 0.225384i | 0.810761 | − | 0.585377i | \(-0.199054\pi\) |
−0.585377 | + | 0.810761i | \(0.699054\pi\) | |||||||
\(678\) | −31.0597 | − | 14.7380i | −1.19284 | − | 0.566009i | ||||
\(679\) | 5.12222 | − | 0.206418i | 0.196573 | − | 0.00792160i | ||||
\(680\) | 3.99994 | + | 1.13286i | 0.153391 | + | 0.0434431i | ||||
\(681\) | −1.70078 | + | 28.1173i | −0.0651741 | + | 1.07746i | ||||
\(682\) | −5.20837 | − | 2.21908i | −0.199439 | − | 0.0849730i | ||||
\(683\) | −2.79205 | + | 9.63929i | −0.106835 | + | 0.368837i | −0.996065 | − | 0.0886227i | \(-0.971753\pi\) |
0.889230 | + | 0.457460i | \(0.151241\pi\) | |||||||
\(684\) | 1.82693 | − | 3.02212i | 0.0698545 | − | 0.115553i | ||||
\(685\) | 0.220292 | − | 2.31815i | 0.00841692 | − | 0.0885720i | ||||
\(686\) | 32.1704 | − | 9.31826i | 1.22827 | − | 0.355773i | ||||
\(687\) | 4.08839 | − | 50.6438i | 0.155982 | − | 1.93218i | ||||
\(688\) | −18.5202 | − | 1.12027i | −0.706077 | − | 0.0427098i | ||||
\(689\) | 7.58258 | + | 28.0979i | 0.288873 | + | 1.07044i | ||||
\(690\) | −8.48517 | − | 10.6988i | −0.323025 | − | 0.407298i | ||||
\(691\) | −28.9262 | − | 0.582606i | −1.10040 | − | 0.0221634i | −0.533388 | − | 0.845871i | \(-0.679081\pi\) |
−0.567015 | + | 0.823707i | \(0.691902\pi\) | |||||||
\(692\) | −18.8974 | + | 12.4897i | −0.718373 | + | 0.474787i | ||||
\(693\) | −13.8251 | + | 7.61492i | −0.525172 | + | 0.289267i | ||||
\(694\) | −1.58824 | + | 0.714807i | −0.0602886 | + | 0.0271337i | ||||
\(695\) | −9.24312 | − | 7.76796i | −0.350612 | − | 0.294656i | ||||
\(696\) | 9.02705 | + | 12.5305i | 0.342170 | + | 0.474967i | ||||
\(697\) | 2.54275 | − | 10.3163i | 0.0963136 | − | 0.390759i | ||||
\(698\) | −6.88026 | − | 25.6775i | −0.260422 | − | 0.971907i | ||||
\(699\) | −28.6603 | − | 49.6410i | −1.08403 | − | 1.87760i | ||||
\(700\) | −9.85886 | − | 0.677962i | −0.372630 | − | 0.0256246i | ||||
\(701\) | −8.28783 | − | 1.00632i | −0.313027 | − | 0.0380084i | −0.0374844 | − | 0.999297i | \(-0.511934\pi\) |
−0.275543 | + | 0.961289i | \(0.588858\pi\) | |||||||
\(702\) | 7.92555 | + | 2.45419i | 0.299130 | + | 0.0926274i | ||||
\(703\) | 9.74392 | + | 7.63387i | 0.367499 | + | 0.287917i | ||||
\(704\) | −2.08794 | − | 0.840325i | −0.0786924 | − | 0.0316709i | ||||
\(705\) | −12.1725 | + | 2.05260i | −0.458442 | + | 0.0773055i | ||||
\(706\) | −15.5762 | − | 46.6565i | −0.586220 | − | 1.75594i | ||||
\(707\) | 1.95133 | + | 16.0707i | 0.0733874 | + | 0.604400i | ||||
\(708\) | −5.06863 | + | 6.74512i | −0.190491 | + | 0.253497i | ||||
\(709\) | 5.56465 | + | 6.03198i | 0.208985 | + | 0.226536i | 0.830718 | − | 0.556693i | \(-0.187930\pi\) |
−0.621733 | + | 0.783229i | \(0.713571\pi\) | |||||||
\(710\) | −31.5789 | − | 3.64392i | −1.18514 | − | 0.136754i | ||||
\(711\) | −0.622187 | − | 1.31123i | −0.0233338 | − | 0.0491750i | ||||
\(712\) | −20.4318 | − | 0.411520i | −0.765715 | − | 0.0154224i | ||||
\(713\) | 0.974104 | − | 0.731992i | 0.0364805 | − | 0.0274133i | ||||
\(714\) | −5.02291 | − | 7.27694i | −0.187978 | − | 0.272333i | ||||
\(715\) | −27.2363 | + | 14.5644i | −1.01858 | + | 0.544678i | ||||
\(716\) | 1.86084 | − | 2.69590i | 0.0695430 | − | 0.100750i | ||||
\(717\) | 2.52330 | + | 62.6149i | 0.0942342 | + | 2.33840i | ||||
\(718\) | −1.84081 | − | 18.2197i | −0.0686983 | − | 0.679954i | ||||
\(719\) | −14.3320 | − | 10.7698i | −0.534493 | − | 0.401646i | 0.298935 | − | 0.954274i | \(-0.403369\pi\) |
−0.833428 | + | 0.552628i | \(0.813625\pi\) | |||||||
\(720\) | 24.7259 | − | 11.3056i | 0.921481 | − | 0.421333i | ||||
\(721\) | 0.554909 | + | 27.5510i | 0.0206659 | + | 1.02605i | ||||
\(722\) | −2.50678 | − | 31.0521i | −0.0932928 | − | 1.15564i | ||||
\(723\) | 22.4141 | + | 59.1012i | 0.833591 | + | 2.19800i | ||||
\(724\) | −3.07644 | + | 18.9301i | −0.114335 | + | 0.703531i | ||||
\(725\) | 17.8056 | − | 13.7144i | 0.661283 | − | 0.509341i | ||||
\(726\) | 3.35787 | + | 14.9094i | 0.124622 | + | 0.553339i | ||||
\(727\) | 6.74243 | − | 4.07594i | 0.250063 | − | 0.151168i | −0.386755 | − | 0.922183i | \(-0.626404\pi\) |
0.636818 | + | 0.771014i | \(0.280250\pi\) | |||||||
\(728\) | 6.43565 | − | 6.20365i | 0.238521 | − | 0.229922i | ||||
\(729\) | 3.89794 | + | 15.8146i | 0.144368 | + | 0.585725i | ||||
\(730\) | 1.48593 | + | 0.806976i | 0.0549968 | + | 0.0298675i | ||||
\(731\) | −3.76921 | + | 2.83238i | −0.139409 | + | 0.104759i | ||||
\(732\) | 8.46293 | + | 9.17365i | 0.312799 | + | 0.339068i | ||||
\(733\) | −10.1198 | + | 19.2816i | −0.373782 | + | 0.712182i | −0.997589 | − | 0.0693962i | \(-0.977893\pi\) |
0.623807 | + | 0.781578i | \(0.285585\pi\) | |||||||
\(734\) | −4.75304 | + | 47.0441i | −0.175438 | + | 1.73643i | ||||
\(735\) | 15.7608 | + | 14.9593i | 0.581346 | + | 0.551781i | ||||
\(736\) | 6.83261 | − | 5.35301i | 0.251853 | − | 0.197315i | ||||
\(737\) | −23.2425 | + | 0.468131i | −0.856149 | + | 0.0172438i | ||||
\(738\) | −16.3834 | − | 32.8048i | −0.603080 | − | 1.20756i | ||||
\(739\) | −20.3013 | − | 30.7167i | −0.746796 | − | 1.12993i | −0.987235 | − | 0.159269i | \(-0.949086\pi\) |
0.240439 | − | 0.970664i | \(-0.422709\pi\) | |||||||
\(740\) | −8.00745 | − | 25.1688i | −0.294360 | − | 0.925224i | ||||
\(741\) | 9.81063 | − | 3.29475i | 0.360403 | − | 0.121035i | ||||
\(742\) | 7.20424 | + | 23.1192i | 0.264476 | + | 0.848734i | ||||
\(743\) | 19.8724 | + | 16.2253i | 0.729047 | + | 0.595248i | 0.922562 | − | 0.385849i | \(-0.126091\pi\) |
−0.193515 | + | 0.981097i | \(0.561989\pi\) | |||||||
\(744\) | 1.11714 | + | 2.62203i | 0.0409564 | + | 0.0961282i | ||||
\(745\) | −8.09058 | − | 3.39036i | −0.296416 | − | 0.124213i | ||||
\(746\) | −31.5952 | + | 31.5952i | −1.15678 | + | 1.15678i | ||||
\(747\) | −18.3299 | + | 11.5911i | −0.670657 | + | 0.424098i | ||||
\(748\) | −5.38583 | + | 1.79805i | −0.196925 | + | 0.0657433i | ||||
\(749\) | 0.0786709 | + | 0.429293i | 0.00287457 | + | 0.0156860i | ||||
\(750\) | −20.6729 | − | 41.6327i | −0.754868 | − | 1.52021i | ||||
\(751\) | −0.663564 | + | 8.21972i | −0.0242138 | + | 0.299942i | 0.973304 | + | 0.229521i | \(0.0737161\pi\) |
−0.997517 | + | 0.0704203i | \(0.977566\pi\) | |||||||
\(752\) | −1.88583 | − | 11.6040i | −0.0687690 | − | 0.423153i | ||||
\(753\) | 31.9527 | − | 14.3807i | 1.16442 | − | 0.524064i | ||||
\(754\) | 2.27187 | − | 28.7826i | 0.0827366 | − | 1.04820i | ||||
\(755\) | −9.24994 | + | 13.5728i | −0.336640 | + | 0.493965i | ||||
\(756\) | 2.46597 | + | 0.660755i | 0.0896865 | + | 0.0240314i | ||||
\(757\) | 8.75215 | + | 6.30511i | 0.318102 | + | 0.229163i | 0.732233 | − | 0.681055i | \(-0.238478\pi\) |
−0.414130 | + | 0.910218i | \(0.635914\pi\) | |||||||
\(758\) | −9.43804 | − | 23.4506i | −0.342805 | − | 0.851763i | ||||
\(759\) | −12.5376 | − | 3.90686i | −0.455085 | − | 0.141810i | ||||
\(760\) | −2.00345 | + | 3.51823i | −0.0726727 | + | 0.127620i | ||||
\(761\) | −3.40951 | + | 9.56689i | −0.123595 | + | 0.346800i | −0.987667 | − | 0.156568i | \(-0.949957\pi\) |
0.864072 | + | 0.503367i | \(0.167906\pi\) | |||||||
\(762\) | −19.0184 | − | 36.2365i | −0.688964 | − | 1.31271i | ||||
\(763\) | 27.0555 | − | 10.8889i | 0.979475 | − | 0.394205i | ||||
\(764\) | 3.26425 | − | 0.530492i | 0.118096 | − | 0.0191925i | ||||
\(765\) | 2.92456 | − | 6.25923i | 0.105738 | − | 0.226303i | ||||
\(766\) | −23.4454 | + | 8.89165i | −0.847115 | + | 0.321268i | ||||
\(767\) | −10.8310 | + | 2.45965i | −0.391083 | + | 0.0888129i | ||||
\(768\) | 19.5058 | + | 43.3401i | 0.703854 | + | 1.56390i | ||||
\(769\) | −17.1319 | − | 12.3419i | −0.617792 | − | 0.445061i | 0.231610 | − | 0.972809i | \(-0.425601\pi\) |
−0.849401 | + | 0.527748i | \(0.823037\pi\) | |||||||
\(770\) | −22.1793 | + | 12.9817i | −0.799286 | + | 0.467828i | ||||
\(771\) | 25.4224 | − | 5.19001i | 0.915564 | − | 0.186914i | ||||
\(772\) | −10.7938 | + | 15.6376i | −0.388478 | + | 0.562808i | ||||
\(773\) | −0.390846 | − | 1.17073i | −0.0140578 | − | 0.0421081i | 0.941274 | − | 0.337644i | \(-0.109630\pi\) |
−0.955332 | + | 0.295536i | \(0.904502\pi\) | |||||||
\(774\) | −3.57505 | + | 15.8737i | −0.128502 | + | 0.570568i | ||||
\(775\) | 3.76182 | − | 1.74716i | 0.135129 | − | 0.0627599i | ||||
\(776\) | −3.78763 | + | 2.39515i | −0.135968 | + | 0.0859810i | ||||
\(777\) | 14.7682 | − | 36.6944i | 0.529807 | − | 1.31640i | ||||
\(778\) | 10.5519 | − | 12.9237i | 0.378303 | − | 0.463337i | ||||
\(779\) | 9.16229 | + | 4.80874i | 0.328273 | + | 0.172291i | ||||
\(780\) | −21.2573 | − | 5.97949i | −0.761134 | − | 0.214100i | ||||
\(781\) | −27.0693 | + | 14.2070i | −0.968614 | + | 0.508368i | ||||
\(782\) | 0.661006 | − | 3.23782i | 0.0236375 | − | 0.115784i | ||||
\(783\) | −5.19443 | + | 2.59420i | −0.185634 | + | 0.0927092i | ||||
\(784\) | −14.3356 | + | 14.9249i | −0.511985 | + | 0.533033i | ||||
\(785\) | −28.9263 | + | 15.4018i | −1.03242 | + | 0.549714i | ||||
\(786\) | 45.5344 | + | 30.0946i | 1.62416 | + | 1.07344i | ||||
\(787\) | 33.8953 | − | 27.6746i | 1.20824 | − | 0.986495i | 0.208272 | − | 0.978071i | \(-0.433216\pi\) |
0.999965 | − | 0.00842377i | \(-0.00268140\pi\) | |||||||
\(788\) | −12.2653 | − | 6.43730i | −0.436932 | − | 0.229319i | ||||
\(789\) | −19.7437 | − | 0.795643i | −0.702894 | − | 0.0283256i | ||||
\(790\) | −1.06840 | − | 2.10783i | −0.0380120 | − | 0.0749931i | ||||
\(791\) | −6.22186 | − | 12.4582i | −0.221224 | − | 0.442961i | ||||
\(792\) | 7.13809 | − | 11.8078i | 0.253641 | − | 0.419573i | ||||
\(793\) | 0.690867 | + | 16.4154i | 0.0245334 | + | 0.582928i | ||||
\(794\) | 10.1433 | − | 41.1529i | 0.359971 | − | 1.46046i | ||||
\(795\) | −28.3768 | + | 31.1294i | −1.00642 | + | 1.10404i | ||||
\(796\) | 24.7322 | + | 15.6397i | 0.876610 | + | 0.554335i | ||||
\(797\) | −33.4524 | + | 24.0994i | −1.18495 | + | 0.853643i | −0.991834 | − | 0.127534i | \(-0.959294\pi\) |
−0.193112 | + | 0.981177i | \(0.561858\pi\) | |||||||
\(798\) | 8.05157 | − | 3.05356i | 0.285023 | − | 0.108095i | ||||
\(799\) | −2.27552 | − | 1.93557i | −0.0805022 | − | 0.0684755i | ||||
\(800\) | 26.5413 | − | 12.9830i | 0.938375 | − | 0.459018i | ||||
\(801\) | −6.12174 | + | 33.4052i | −0.216301 | + | 1.18032i | ||||
\(802\) | −5.96182 | − | 42.0112i | −0.210519 | − | 1.48347i | ||||
\(803\) | 1.61792 | − | 0.163465i | 0.0570952 | − | 0.00576854i | ||||
\(804\) | −12.2165 | − | 11.2700i | −0.430843 | − | 0.397463i | ||||
\(805\) | −0.0328960 | − | 5.53102i | −0.00115943 | − | 0.194943i | ||||
\(806\) | 1.57612 | − | 5.08991i | 0.0555164 | − | 0.179284i | ||||
\(807\) | 4.31909 | − | 23.5685i | 0.152039 | − | 0.829651i | ||||
\(808\) | −8.50165 | − | 11.3136i | −0.299087 | − | 0.398013i | ||||
\(809\) | 11.0389 | − | 10.6030i | 0.388106 | − | 0.372780i | −0.473125 | − | 0.880995i | \(-0.656874\pi\) |
0.861230 | + | 0.508215i | \(0.169694\pi\) | |||||||
\(810\) | 10.9118 | + | 39.7758i | 0.383403 | + | 1.39758i | ||||
\(811\) | 2.52899 | − | 0.152976i | 0.0888049 | − | 0.00537171i | −0.0159163 | − | 0.999873i | \(-0.505067\pi\) |
0.104721 | + | 0.994502i | \(0.466605\pi\) | |||||||
\(812\) | 0.357724 | − | 8.87684i | 0.0125537 | − | 0.311516i | ||||
\(813\) | 46.7134 | + | 35.1028i | 1.63831 | + | 1.23111i | ||||
\(814\) | −54.0683 | − | 42.3598i | −1.89509 | − | 1.48471i | ||||
\(815\) | −26.1224 | + | 3.86566i | −0.915026 | + | 0.135408i | ||||
\(816\) | 13.2335 | + | 6.27937i | 0.463265 | + | 0.219822i | ||||
\(817\) | −1.79977 | − | 4.22421i | −0.0629659 | − | 0.147786i | ||||
\(818\) | −28.1364 | + | 35.9135i | −0.983767 | + | 1.25569i | ||||
\(819\) | −8.46042 | − | 12.2104i | −0.295631 | − | 0.426664i | ||||
\(820\) | −10.3767 | − | 19.4886i | −0.362370 | − | 0.680571i | ||||
\(821\) | 14.0123 | + | 7.71801i | 0.489031 | + | 0.269361i | 0.707796 | − | 0.706417i | \(-0.249690\pi\) |
−0.218764 | + | 0.975778i | \(0.570203\pi\) | |||||||
\(822\) | 1.12058 | − | 4.18205i | 0.0390847 | − | 0.145866i | ||||
\(823\) | 43.1356 | − | 11.5581i | 1.50361 | − | 0.402892i | 0.589304 | − | 0.807912i | \(-0.299402\pi\) |
0.914308 | + | 0.405020i | \(0.132735\pi\) | |||||||
\(824\) | −12.4624 | − | 20.6154i | −0.434150 | − | 0.718172i | ||||
\(825\) | −38.9767 | − | 21.8892i | −1.35699 | − | 0.762084i | ||||
\(826\) | −8.92666 | + | 2.39189i | −0.310598 | + | 0.0832245i | ||||
\(827\) | −30.2255 | − | 11.4630i | −1.05105 | − | 0.398609i | −0.232227 | − | 0.972662i | \(-0.574601\pi\) |
−0.818818 | + | 0.574053i | \(0.805370\pi\) | |||||||
\(828\) | −2.03476 | − | 3.69415i | −0.0707126 | − | 0.128381i | ||||
\(829\) | −2.04625 | + | 10.0232i | −0.0710694 | + | 0.348121i | −0.999740 | − | 0.0227836i | \(-0.992747\pi\) |
0.928671 | + | 0.370904i | \(0.120952\pi\) | |||||||
\(830\) | −29.3428 | + | 19.6450i | −1.01850 | + | 0.681888i | ||||
\(831\) | 0.477541 | − | 0.539033i | 0.0165657 | − | 0.0186988i | ||||
\(832\) | 0.585715 | − | 2.03571i | 0.0203060 | − | 0.0705756i | ||||
\(833\) | −0.317512 | + | 5.24910i | −0.0110011 | + | 0.181871i | ||||
\(834\) | −14.5450 | − | 17.0996i | −0.503653 | − | 0.592112i | ||||
\(835\) | 41.4185 | − | 4.43367i | 1.43334 | − | 0.153433i | ||||
\(836\) | −0.444957 | − | 5.51178i | −0.0153892 | − | 0.190629i | ||||
\(837\) | −1.04040 | + | 0.256435i | −0.0359614 | + | 0.00886369i | ||||
\(838\) | 23.6354 | + | 6.84608i | 0.816471 | + | 0.236494i | ||||
\(839\) | 0.425522 | − | 0.171258i | 0.0146906 | − | 0.00591247i | −0.366004 | − | 0.930613i | \(-0.619275\pi\) |
0.380695 | + | 0.924701i | \(0.375685\pi\) | |||||||
\(840\) | 12.5799 | + | 3.02141i | 0.434046 | + | 0.104248i | ||||
\(841\) | −5.56237 | − | 6.81266i | −0.191806 | − | 0.234919i | ||||
\(842\) | 41.1070 | + | 37.9222i | 1.41664 | + | 1.30688i | ||||
\(843\) | 1.20707 | − | 2.54385i | 0.0415737 | − | 0.0876147i | ||||
\(844\) | −5.84719 | −0.201268 | ||||||||
\(845\) | −16.2580 | − | 24.0973i | −0.559292 | − | 0.828971i | ||||
\(846\) | −10.3098 | −0.354457 | ||||||||
\(847\) | −2.65379 | + | 5.59274i | −0.0911852 | + | 0.192169i | ||||
\(848\) | −29.4850 | − | 27.2006i | −1.01252 | − | 0.934073i | ||||
\(849\) | 13.6444 | + | 16.7114i | 0.468275 | + | 0.573532i | ||||
\(850\) | 4.49440 | − | 10.3122i | 0.154157 | − | 0.353705i | ||||
\(851\) | 13.7139 | − | 5.51938i | 0.470107 | − | 0.189202i | ||||
\(852\) | −20.9942 | − | 6.08105i | −0.719251 | − | 0.208333i | ||||
\(853\) | 41.5907 | − | 10.2512i | 1.42404 | − | 0.350994i | 0.549316 | − | 0.835615i | \(-0.314888\pi\) |
0.874724 | + | 0.484621i | \(0.161042\pi\) | |||||||
\(854\) | 1.10004 | + | 13.6265i | 0.0376427 | + | 0.466289i | ||||
\(855\) | 5.23699 | + | 4.22421i | 0.179101 | + | 0.144465i | ||||
\(856\) | −0.247200 | − | 0.290617i | −0.00844912 | − | 0.00993308i | ||||
\(857\) | 1.92724 | − | 31.8610i | 0.0658332 | − | 1.08835i | −0.803879 | − | 0.594793i | \(-0.797234\pi\) |
0.869712 | − | 0.493560i | \(-0.164304\pi\) | |||||||
\(858\) | −54.4385 | + | 18.2823i | −1.85850 | + | 0.624147i | ||||
\(859\) | −7.32952 | + | 8.27332i | −0.250080 | + | 0.282282i | −0.860123 | − | 0.510086i | \(-0.829614\pi\) |
0.610043 | + | 0.792368i | \(0.291152\pi\) | |||||||
\(860\) | −1.90260 | + | 9.61085i | −0.0648780 | + | 0.327727i | ||||
\(861\) | 6.61399 | − | 32.3975i | 0.225404 | − | 1.10410i | ||||
\(862\) | −4.91991 | − | 8.93224i | −0.167573 | − | 0.304233i | ||||
\(863\) | −31.9989 | − | 12.1356i | −1.08925 | − | 0.413100i | −0.256388 | − | 0.966574i | \(-0.582533\pi\) |
−0.832866 | + | 0.553474i | \(0.813302\pi\) | |||||||
\(864\) | −7.37297 | + | 1.97558i | −0.250834 | + | 0.0672107i | ||||
\(865\) | −18.7330 | − | 38.8803i | −0.636942 | − | 1.32197i | ||||
\(866\) | 26.8355 | + | 44.3913i | 0.911906 | + | 1.50848i | ||||
\(867\) | −34.7270 | + | 9.30508i | −1.17939 | + | 0.316017i | ||||
\(868\) | 0.424347 | − | 1.58368i | 0.0144033 | − | 0.0537537i | ||||
\(869\) | −1.99064 | − | 1.09645i | −0.0675278 | − | 0.0371946i | ||||
\(870\) | 36.8853 | − | 19.6396i | 1.25053 | − | 0.665844i | ||||
\(871\) | −2.67606 | − | 21.7154i | −0.0906749 | − | 0.735797i | ||||
\(872\) | −15.7234 | + | 20.0694i | −0.532460 | + | 0.679635i | ||||
\(873\) | 2.91914 | + | 6.85147i | 0.0987979 | + | 0.231887i | ||||
\(874\) | 2.90756 | + | 1.37965i | 0.0983495 | + | 0.0466674i | ||||
\(875\) | 3.80846 | − | 18.4390i | 0.128750 | − | 0.623351i | ||||
\(876\) | 0.915216 | + | 0.717026i | 0.0309223 | + | 0.0242260i | ||||
\(877\) | −38.1511 | − | 28.6687i | −1.28827 | − | 0.968072i | −0.999944 | − | 0.0105401i | \(-0.996645\pi\) |
−0.288326 | − | 0.957532i | \(-0.593099\pi\) | |||||||
\(878\) | 2.89738 | − | 71.8977i | 0.0977817 | − | 2.42643i | ||||
\(879\) | 4.41604 | − | 0.267121i | 0.148949 | − | 0.00900978i | ||||
\(880\) | 21.0667 | − | 36.9950i | 0.710159 | − | 1.24710i | ||||
\(881\) | −20.7284 | + | 19.9099i | −0.698357 | + | 0.670781i | −0.955298 | − | 0.295646i | \(-0.904465\pi\) |
0.256940 | + | 0.966427i | \(0.417286\pi\) | |||||||
\(882\) | 10.9025 | + | 14.5086i | 0.367105 | + | 0.488529i | ||||
\(883\) | 1.68260 | − | 9.18163i | 0.0566239 | − | 0.308986i | −0.943099 | − | 0.332511i | \(-0.892104\pi\) |
0.999723 | + | 0.0235245i | \(0.00748878\pi\) | |||||||
\(884\) | −2.20194 | − | 4.86928i | −0.0740594 | − | 0.163772i | ||||
\(885\) | −11.4344 | − | 11.2991i | −0.384362 | − | 0.379817i | ||||
\(886\) | 35.4674 | + | 32.7195i | 1.19155 | + | 1.09923i | ||||
\(887\) | −7.66439 | + | 0.774362i | −0.257345 | + | 0.0260005i | −0.228350 | − | 0.973579i | \(-0.573333\pi\) |
−0.0289946 | + | 0.999580i | \(0.509231\pi\) | |||||||
\(888\) | 4.85832 | + | 34.2352i | 0.163035 | + | 1.14886i | ||||
\(889\) | 2.98802 | − | 16.3051i | 0.100215 | − | 0.546855i | ||||
\(890\) | −8.54549 | + | 54.6327i | −0.286445 | + | 1.83129i | ||||
\(891\) | 30.2139 | + | 25.7000i | 1.01220 | + | 0.860983i | ||||
\(892\) | 23.5161 | − | 8.91850i | 0.787379 | − | 0.298613i | ||||
\(893\) | 2.36058 | − | 1.70057i | 0.0789936 | − | 0.0569075i | ||||
\(894\) | −13.7853 | − | 8.71730i | −0.461050 | − | 0.291550i | ||||
\(895\) | 4.61241 | + | 4.20456i | 0.154176 | + | 0.140543i | ||||
\(896\) | −4.34130 | + | 17.6133i | −0.145033 | + | 0.588420i | ||||
\(897\) | 2.45063 | − | 12.1143i | 0.0818241 | − | 0.404483i | ||||
\(898\) | 27.7151 | − | 45.8465i | 0.924867 | − | 1.52992i | ||||
\(899\) | 1.66604 | + | 3.33594i | 0.0555654 | + | 0.111260i | ||||
\(900\) | −4.15795 | − | 13.7411i | −0.138598 | − | 0.458038i | ||||
\(901\) | −10.1855 | − | 0.410461i | −0.339327 | − | 0.0136744i | ||||
\(902\) | −50.8409 | − | 26.6833i | −1.69282 | − | 0.888458i | ||||
\(903\) | −11.3655 | + | 9.27965i | −0.378220 | + | 0.308807i | ||||
\(904\) | 10.1557 | + | 6.71213i | 0.337774 | + | 0.223242i | ||||
\(905\) | −34.9496 | − | 10.6631i | −1.16177 | − | 0.354454i | ||||
\(906\) | −21.1553 | + | 22.0250i | −0.702838 | + | 0.731732i | ||||
\(907\) | −45.2149 | + | 22.5812i | −1.50134 | + | 0.749798i | −0.993732 | − | 0.111791i | \(-0.964341\pi\) |
−0.507606 | + | 0.861589i | \(0.669469\pi\) | |||||||
\(908\) | −2.83348 | + | 13.8793i | −0.0940325 | + | 0.460601i | ||||
\(909\) | −20.8245 | + | 10.9295i | −0.690705 | + | 0.362510i | ||||
\(910\) | −14.2893 | − | 19.5151i | −0.473687 | − | 0.646920i | ||||
\(911\) | −12.4362 | − | 6.52700i | −0.412029 | − | 0.216249i | 0.245955 | − | 0.969281i | \(-0.420898\pi\) |
−0.657984 | + | 0.753032i | \(0.728591\pi\) | |||||||
\(912\) | −9.02189 | + | 11.0498i | −0.298745 | + | 0.365896i | ||||
\(913\) | −12.6792 | + | 31.5037i | −0.419619 | + | 1.04262i | ||||
\(914\) | −13.8196 | + | 8.73900i | −0.457113 | + | 0.289061i | ||||
\(915\) | −19.4897 | + | 13.6246i | −0.644310 | + | 0.450416i | ||||
\(916\) | 5.61391 | − | 24.9265i | 0.185489 | − | 0.823595i | ||||
\(917\) | 7.00100 | + | 20.9706i | 0.231193 | + | 0.692509i | ||||
\(918\) | −1.65084 | + | 2.39166i | −0.0544859 | + | 0.0789364i | ||||
\(919\) | 43.0502 | − | 8.78875i | 1.42009 | − | 0.289914i | 0.572215 | − | 0.820104i | \(-0.306084\pi\) |
0.847879 | + | 0.530190i | \(0.177879\pi\) | |||||||
\(920\) | 2.44247 | + | 4.17297i | 0.0805258 | + | 0.137579i | ||||
\(921\) | 25.4965 | + | 18.3678i | 0.840137 | + | 0.605240i | ||||
\(922\) | 25.4799 | + | 56.6140i | 0.839136 | + | 1.86448i | ||||
\(923\) | −15.9073 | − | 23.9753i | −0.523597 | − | 0.789157i | ||||
\(924\) | −16.5220 | + | 6.26597i | −0.543534 | + | 0.206135i | ||||
\(925\) | 49.5706 | − | 8.66243i | 1.62987 | − | 0.284819i | ||||
\(926\) | 13.4854 | − | 2.19160i | 0.443159 | − | 0.0720203i | ||||
\(927\) | −37.1383 | + | 14.9469i | −1.21978 | + | 0.490920i | ||||
\(928\) | 12.3441 | + | 23.5197i | 0.405215 | + | 0.772073i | ||||
\(929\) | −14.9562 | + | 41.9662i | −0.490697 | + | 1.37687i | 0.397584 | + | 0.917566i | \(0.369849\pi\) |
−0.888281 | + | 0.459300i | \(0.848100\pi\) | |||||||
\(930\) | 7.43719 | − | 2.04027i | 0.243875 | − | 0.0669032i | ||||
\(931\) | −4.88944 | − | 1.52361i | −0.160245 | − | 0.0499343i | ||||
\(932\) | −10.7624 | − | 26.7411i | −0.352534 | − | 0.875935i | ||||
\(933\) | 44.5340 | + | 32.0826i | 1.45798 | + | 1.05034i | ||||
\(934\) | −19.5641 | − | 5.24218i | −0.640157 | − | 0.171530i | ||||
\(935\) | −2.01329 | − | 10.6292i | −0.0658415 | − | 0.347612i | ||||
\(936\) | 11.7422 | + | 5.54607i | 0.383804 | + | 0.181279i | ||||
\(937\) | −3.26914 | + | 1.47132i | −0.106798 | + | 0.0480659i | −0.463108 | − | 0.886302i | \(-0.653266\pi\) |
0.356309 | + | 0.934368i | \(0.384035\pi\) | |||||||
\(938\) | −2.92034 | − | 17.9696i | −0.0953526 | − | 0.586728i | ||||
\(939\) | −0.878117 | + | 10.8774i | −0.0286563 | + | 0.354972i | ||||
\(940\) | −6.20567 | + | 0.161917i | −0.202407 | + | 0.00528116i | ||||
\(941\) | 7.49353 | + | 40.8909i | 0.244282 | + | 1.33300i | 0.845524 | + | 0.533937i | \(0.179288\pi\) |
−0.601242 | + | 0.799067i | \(0.705327\pi\) | |||||||
\(942\) | −57.7959 | + | 19.2951i | −1.88309 | + | 0.628669i | ||||
\(943\) | 10.4447 | − | 6.60481i | 0.340125 | − | 0.215082i | ||||
\(944\) | 10.8254 | − | 10.8254i | 0.352336 | − | 0.352336i | ||||
\(945\) | −1.87991 | + | 4.48611i | −0.0611535 | + | 0.145933i | ||||
\(946\) | 9.98678 | + | 23.4398i | 0.324698 | + | 0.762094i | ||||
\(947\) | 30.7645 | + | 25.1185i | 0.999713 | + | 0.816241i | 0.982997 | − | 0.183620i | \(-0.0587815\pi\) |
0.0167158 | + | 0.999860i | \(0.494679\pi\) | |||||||
\(948\) | −0.483399 | − | 1.55128i | −0.0157001 | − | 0.0503833i | ||||
\(949\) | 0.308814 | + | 1.49901i | 0.0100245 | + | 0.0486600i | ||||
\(950\) | 8.70348 | + | 6.65321i | 0.282378 | + | 0.215858i | ||||
\(951\) | −13.3051 | − | 20.1312i | −0.431448 | − | 0.652798i | ||||
\(952\) | 1.39891 | + | 2.80106i | 0.0453388 | + | 0.0907828i | ||||
\(953\) | −52.5531 | + | 1.05848i | −1.70236 | + | 0.0342875i | −0.861745 | − | 0.507342i | \(-0.830628\pi\) |
−0.840617 | + | 0.541629i | \(0.817808\pi\) | |||||||
\(954\) | −27.6929 | + | 21.6960i | −0.896591 | + | 0.702434i | ||||
\(955\) | 0.164345 | + | 6.29873i | 0.00531809 | + | 0.203822i | ||||
\(956\) | −3.16782 | + | 31.3541i | −0.102455 | + | 1.01406i | ||||
\(957\) | 18.6761 | − | 35.5843i | 0.603712 | − | 1.15028i | ||||
\(958\) | 49.6382 | + | 53.8069i | 1.60374 | + | 1.73842i | ||||
\(959\) | 1.40200 | − | 1.05354i | 0.0452731 | − | 0.0340205i | ||||
\(960\) | 2.93974 | − | 0.870489i | 0.0948796 | − | 0.0280949i | ||||
\(961\) | −7.25410 | − | 29.4310i | −0.234003 | − | 0.949388i | ||||
\(962\) | 34.4530 | − | 54.6990i | 1.11081 | − | 1.76357i | ||||
\(963\) | −0.542606 | + | 0.328017i | −0.0174852 | + | 0.0105702i | ||||
\(964\) | 6.98403 | + | 31.0100i | 0.224941 | + | 0.998765i | ||||
\(965\) | −26.7543 | − | 24.3886i | −0.861251 | − | 0.785096i | ||||
\(966\) | 1.64968 | − | 10.1509i | 0.0530776 | − | 0.326599i | ||||
\(967\) | −17.7552 | − | 46.8167i | −0.570970 | − | 1.50552i | −0.840106 | − | 0.542422i | \(-0.817507\pi\) |
0.269136 | − | 0.963102i | \(-0.413262\pi\) | |||||||
\(968\) | −0.435450 | − | 5.39402i | −0.0139959 | − | 0.173370i | ||||
\(969\) | 0.0729952 | + | 3.62418i | 0.00234494 | + | 0.116426i | ||||
\(970\) | 5.04237 | + | 11.0280i | 0.161901 | + | 0.354086i | ||||
\(971\) | 35.3482 | + | 26.5625i | 1.13438 | + | 0.852430i | 0.990547 | − | 0.137173i | \(-0.0438015\pi\) |
0.143831 | + | 0.989602i | \(0.454058\pi\) | |||||||
\(972\) | 2.39360 | + | 23.6911i | 0.0767747 | + | 0.759892i | ||||
\(973\) | −0.366142 | − | 9.08572i | −0.0117380 | − | 0.291275i | ||||
\(974\) | 30.0746 | − | 43.5706i | 0.963652 | − | 1.39609i | ||||
\(975\) | 16.7408 | − | 38.5988i | 0.536134 | − | 1.23615i | ||||
\(976\) | −12.8649 | − | 18.6380i | −0.411795 | − | 0.596587i | ||||
\(977\) | 30.4966 | − | 22.9167i | 0.975674 | − | 0.733171i | 0.0119100 | − | 0.999929i | \(-0.496209\pi\) |
0.963764 | + | 0.266758i | \(0.0859524\pi\) | |||||||
\(978\) | −49.0886 | − | 0.988700i | −1.56968 | − | 0.0316151i | ||||
\(979\) | 22.7975 | + | 48.0447i | 0.728612 | + | 1.53552i | ||||
\(980\) | 6.79029 | + | 8.56178i | 0.216908 | + | 0.273496i | ||||
\(981\) | 28.7289 | + | 31.1416i | 0.917243 | + | 0.994274i | ||||
\(982\) | −39.1510 | + | 52.1005i | −1.24936 | + | 1.66259i | ||||
\(983\) | −5.33778 | − | 43.9605i | −0.170249 | − | 1.40212i | −0.787964 | − | 0.615722i | \(-0.788865\pi\) |
0.617715 | − | 0.786402i | \(-0.288059\pi\) | |||||||
\(984\) | 9.15346 | + | 27.4180i | 0.291802 | + | 0.874053i | ||||
\(985\) | 15.2989 | − | 21.5050i | 0.487462 | − | 0.685205i | ||||
\(986\) | 9.38156 | + | 3.77575i | 0.298770 | + | 0.120244i | ||||
\(987\) | −7.31833 | − | 5.73354i | −0.232945 | − | 0.182501i | ||||
\(988\) | 5.11748 | − | 0.947257i | 0.162809 | − | 0.0301362i | ||||
\(989\) | −5.44368 | − | 0.660982i | −0.173099 | − | 0.0210180i | ||||
\(990\) | −29.0596 | − | 23.4398i | −0.923576 | − | 0.744966i | ||||
\(991\) | −2.29922 | − | 3.98237i | −0.0730371 | − | 0.126504i | 0.827194 | − | 0.561917i | \(-0.189936\pi\) |
−0.900231 | + | 0.435413i | \(0.856602\pi\) | |||||||
\(992\) | 1.26875 | + | 4.73504i | 0.0402828 | + | 0.150338i | ||||
\(993\) | −16.3543 | + | 66.3522i | −0.518989 | + | 2.10562i | ||||
\(994\) | −13.9939 | − | 19.4250i | −0.443859 | − | 0.616123i | ||||
\(995\) | −35.8698 | + | 42.6816i | −1.13715 | + | 1.35310i | ||||
\(996\) | −22.1408 | + | 9.96475i | −0.701557 | + | 0.315745i | ||||
\(997\) | 10.7912 | − | 5.94386i | 0.341762 | − | 0.188244i | −0.302308 | − | 0.953210i | \(-0.597757\pi\) |
0.644070 | + | 0.764966i | \(0.277244\pi\) | |||||||
\(998\) | −26.2110 | + | 17.3234i | −0.829693 | + | 0.548362i | ||||
\(999\) | −12.9975 | − | 0.261785i | −0.411224 | − | 0.00828251i |
(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 | 845.2.bn.a.392.19 | yes | 4272 | |
5.3 | odd | 4 | 845.2.bi.a.223.71 | yes | 4272 | ||
169.72 | odd | 156 | 845.2.bi.a.72.71 | ✓ | 4272 | ||
845.748 | even | 156 | inner | 845.2.bn.a.748.19 | yes | 4272 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.bi.a.72.71 | ✓ | 4272 | 169.72 | odd | 156 | ||
845.2.bi.a.223.71 | yes | 4272 | 5.3 | odd | 4 | ||
845.2.bn.a.392.19 | yes | 4272 | 1.1 | even | 1 | trivial | |
845.2.bn.a.748.19 | yes | 4272 | 845.748 | even | 156 | inner |