Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 205.28 | ||
Character | \(\chi\) | \(=\) | 392.205 |
Dual form | 392.2.z.a.109.28 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0204029 | − | 1.41407i | −0.0144270 | − | 0.999896i | ||||
\(3\) | 0.290045 | − | 1.92432i | 0.167457 | − | 1.11101i | −0.734319 | − | 0.678805i | \(-0.762498\pi\) |
0.901776 | − | 0.432203i | \(-0.142264\pi\) | |||||||
\(4\) | −1.99917 | + | 0.0577020i | −0.999584 | + | 0.0288510i | ||||
\(5\) | 1.10812 | − | 0.434904i | 0.495565 | − | 0.194495i | −0.104378 | − | 0.994538i | \(-0.533285\pi\) |
0.599943 | + | 0.800043i | \(0.295190\pi\) | |||||||
\(6\) | −2.72704 | − | 0.370881i | −1.11331 | − | 0.151412i | ||||
\(7\) | 1.77530 | − | 1.96171i | 0.671002 | − | 0.741456i | ||||
\(8\) | 0.122383 | + | 2.82578i | 0.0432690 | + | 0.999063i | ||||
\(9\) | −0.752171 | − | 0.232014i | −0.250724 | − | 0.0773380i | ||||
\(10\) | −0.637591 | − | 1.55808i | −0.201624 | − | 0.492707i | ||||
\(11\) | −1.15441 | − | 3.74250i | −0.348067 | − | 1.12841i | −0.945263 | − | 0.326310i | \(-0.894195\pi\) |
0.597195 | − | 0.802096i | \(-0.296282\pi\) | |||||||
\(12\) | −0.468811 | + | 3.86378i | −0.135334 | + | 1.11538i | ||||
\(13\) | −4.65240 | − | 1.06188i | −1.29034 | − | 0.294513i | −0.478345 | − | 0.878172i | \(-0.658763\pi\) |
−0.811999 | + | 0.583659i | \(0.801620\pi\) | |||||||
\(14\) | −2.81021 | − | 2.47037i | −0.751059 | − | 0.660235i | ||||
\(15\) | −0.515491 | − | 2.25851i | −0.133099 | − | 0.583146i | ||||
\(16\) | 3.99334 | − | 0.230712i | 0.998335 | − | 0.0576780i | ||||
\(17\) | 2.11461 | + | 1.44172i | 0.512868 | + | 0.349668i | 0.791936 | − | 0.610604i | \(-0.209073\pi\) |
−0.279068 | + | 0.960271i | \(0.590026\pi\) | |||||||
\(18\) | −0.312737 | + | 1.06835i | −0.0737128 | + | 0.251813i | ||||
\(19\) | 3.04750 | + | 1.75947i | 0.699144 | + | 0.403651i | 0.807028 | − | 0.590513i | \(-0.201074\pi\) |
−0.107885 | + | 0.994163i | \(0.534408\pi\) | |||||||
\(20\) | −2.19021 | + | 0.933386i | −0.489747 | + | 0.208711i | ||||
\(21\) | −3.26004 | − | 3.98524i | −0.711399 | − | 0.869651i | ||||
\(22\) | −5.26859 | + | 1.70877i | −1.12327 | + | 0.364310i | ||||
\(23\) | −3.64260 | + | 2.48348i | −0.759534 | + | 0.517842i | −0.880057 | − | 0.474869i | \(-0.842495\pi\) |
0.120522 | + | 0.992711i | \(0.461543\pi\) | |||||||
\(24\) | 5.47320 | + | 0.584098i | 1.11721 | + | 0.119228i | ||||
\(25\) | −2.62648 | + | 2.43702i | −0.525296 | + | 0.487403i | ||||
\(26\) | −1.40665 | + | 6.60047i | −0.275866 | + | 1.29446i | ||||
\(27\) | 1.86846 | − | 3.87989i | 0.359584 | − | 0.746685i | ||||
\(28\) | −3.43594 | + | 4.02422i | −0.649331 | + | 0.760506i | ||||
\(29\) | 2.00797 | + | 4.16959i | 0.372871 | + | 0.774274i | 0.999989 | − | 0.00465011i | \(-0.00148018\pi\) |
−0.627119 | + | 0.778924i | \(0.715766\pi\) | |||||||
\(30\) | −3.18317 | + | 0.775019i | −0.581165 | + | 0.141498i | ||||
\(31\) | 1.49610 | + | 2.59132i | 0.268708 | + | 0.465416i | 0.968528 | − | 0.248903i | \(-0.0800700\pi\) |
−0.699821 | + | 0.714319i | \(0.746737\pi\) | |||||||
\(32\) | −0.407718 | − | 5.64214i | −0.0720750 | − | 0.997399i | ||||
\(33\) | −7.53661 | + | 1.13596i | −1.31195 | + | 0.197745i | ||||
\(34\) | 1.99554 | − | 3.01961i | 0.342232 | − | 0.517859i | ||||
\(35\) | 1.11409 | − | 2.94589i | 0.188316 | − | 0.497945i | ||||
\(36\) | 1.51710 | + | 0.420433i | 0.252851 | + | 0.0700722i | ||||
\(37\) | −1.67124 | − | 0.125242i | −0.274750 | − | 0.0205896i | −0.0633572 | − | 0.997991i | \(-0.520181\pi\) |
−0.211392 | + | 0.977401i | \(0.567800\pi\) | |||||||
\(38\) | 2.42583 | − | 4.34526i | 0.393522 | − | 0.704894i | ||||
\(39\) | −3.39281 | + | 8.64473i | −0.543284 | + | 1.38426i | ||||
\(40\) | 1.36456 | + | 3.07807i | 0.215755 | + | 0.486685i | ||||
\(41\) | 1.46431 | − | 1.83619i | 0.228687 | − | 0.286764i | −0.654228 | − | 0.756297i | \(-0.727006\pi\) |
0.882915 | + | 0.469533i | \(0.155578\pi\) | |||||||
\(42\) | −5.56888 | + | 4.69122i | −0.859297 | + | 0.723871i | ||||
\(43\) | 6.23910 | − | 4.97552i | 0.951454 | − | 0.758760i | −0.0190561 | − | 0.999818i | \(-0.506066\pi\) |
0.970510 | + | 0.241059i | \(0.0774947\pi\) | |||||||
\(44\) | 2.52381 | + | 7.41527i | 0.380478 | + | 1.11789i | ||||
\(45\) | −0.934397 | + | 0.0700234i | −0.139292 | + | 0.0104385i | ||||
\(46\) | 3.58613 | + | 5.10021i | 0.528746 | + | 0.751984i | ||||
\(47\) | 8.15459 | + | 7.56636i | 1.18947 | + | 1.10367i | 0.992372 | + | 0.123283i | \(0.0393421\pi\) |
0.197098 | + | 0.980384i | \(0.436848\pi\) | |||||||
\(48\) | 0.714284 | − | 7.75139i | 0.103098 | − | 1.11882i | ||||
\(49\) | −0.696588 | − | 6.96525i | −0.0995126 | − | 0.995036i | ||||
\(50\) | 3.49969 | + | 3.66429i | 0.494931 | + | 0.518209i | ||||
\(51\) | 3.38766 | − | 3.65103i | 0.474367 | − | 0.511246i | ||||
\(52\) | 9.36220 | + | 1.85442i | 1.29830 | + | 0.257162i | ||||
\(53\) | 0.517548 | − | 0.0387849i | 0.0710907 | − | 0.00532751i | −0.0391372 | − | 0.999234i | \(-0.512461\pi\) |
0.110228 | + | 0.993906i | \(0.464842\pi\) | |||||||
\(54\) | −5.52454 | − | 2.56296i | −0.751795 | − | 0.348775i | ||||
\(55\) | −2.90684 | − | 3.64507i | −0.391959 | − | 0.491501i | ||||
\(56\) | 5.76062 | + | 4.77654i | 0.769795 | + | 0.638292i | ||||
\(57\) | 4.26970 | − | 5.35404i | 0.565536 | − | 0.709160i | ||||
\(58\) | 5.85511 | − | 2.92447i | 0.768814 | − | 0.384002i | ||||
\(59\) | −9.32841 | − | 3.66113i | −1.21446 | − | 0.476639i | −0.330320 | − | 0.943869i | \(-0.607157\pi\) |
−0.884136 | + | 0.467230i | \(0.845252\pi\) | |||||||
\(60\) | 1.16087 | + | 4.48540i | 0.149868 | + | 0.579063i | ||||
\(61\) | −3.74141 | − | 0.280380i | −0.479039 | − | 0.0358990i | −0.166977 | − | 0.985961i | \(-0.553401\pi\) |
−0.312062 | + | 0.950062i | \(0.601020\pi\) | |||||||
\(62\) | 3.63378 | − | 2.16846i | 0.461491 | − | 0.275394i | ||||
\(63\) | −1.79048 | + | 1.06364i | −0.225579 | + | 0.134007i | ||||
\(64\) | −7.97004 | + | 0.691656i | −0.996256 | + | 0.0864570i | ||||
\(65\) | −5.61722 | + | 0.846659i | −0.696730 | + | 0.105015i | ||||
\(66\) | 1.76009 | + | 10.6341i | 0.216652 | + | 1.30897i | ||||
\(67\) | 9.58971 | − | 5.53662i | 1.17157 | − | 0.676406i | 0.217520 | − | 0.976056i | \(-0.430203\pi\) |
0.954049 | + | 0.299650i | \(0.0968699\pi\) | |||||||
\(68\) | −4.31065 | − | 2.76021i | −0.522743 | − | 0.334725i | ||||
\(69\) | 3.72250 | + | 7.72985i | 0.448137 | + | 0.930565i | ||||
\(70\) | −4.18841 | − | 1.51529i | −0.500611 | − | 0.181112i | ||||
\(71\) | −7.89455 | − | 3.80181i | −0.936911 | − | 0.451192i | −0.0978322 | − | 0.995203i | \(-0.531191\pi\) |
−0.839078 | + | 0.544011i | \(0.816905\pi\) | |||||||
\(72\) | 0.563567 | − | 2.15386i | 0.0664170 | − | 0.253835i | ||||
\(73\) | 1.56628 | − | 1.45330i | 0.183319 | − | 0.170096i | −0.583175 | − | 0.812347i | \(-0.698190\pi\) |
0.766494 | + | 0.642251i | \(0.221999\pi\) | |||||||
\(74\) | −0.143002 | + | 2.36579i | −0.0166237 | + | 0.275018i | ||||
\(75\) | 3.92781 | + | 5.76104i | 0.453544 | + | 0.665227i | ||||
\(76\) | −6.19398 | − | 3.34163i | −0.710498 | − | 0.383312i | ||||
\(77\) | −9.39111 | − | 4.37947i | −1.07022 | − | 0.499086i | ||||
\(78\) | 12.2934 | + | 4.62127i | 1.39196 | + | 0.523256i | ||||
\(79\) | 6.40251 | − | 11.0895i | 0.720338 | − | 1.24766i | −0.240526 | − | 0.970643i | \(-0.577320\pi\) |
0.960864 | − | 0.277020i | \(-0.0893468\pi\) | |||||||
\(80\) | 4.32475 | − | 1.99237i | 0.483522 | − | 0.222754i | ||||
\(81\) | −8.87532 | − | 6.05109i | −0.986147 | − | 0.672343i | ||||
\(82\) | −2.62637 | − | 2.03317i | −0.290034 | − | 0.224526i | ||||
\(83\) | 5.80506 | − | 1.32497i | 0.637188 | − | 0.145434i | 0.108290 | − | 0.994119i | \(-0.465462\pi\) |
0.528898 | + | 0.848685i | \(0.322605\pi\) | |||||||
\(84\) | 6.74732 | + | 7.77905i | 0.736193 | + | 0.848764i | ||||
\(85\) | 2.97024 | + | 0.677938i | 0.322168 | + | 0.0735327i | ||||
\(86\) | −7.16301 | − | 8.72099i | −0.772407 | − | 0.940409i | ||||
\(87\) | 8.60604 | − | 2.65461i | 0.922664 | − | 0.284604i | ||||
\(88\) | 10.4342 | − | 3.72012i | 1.11229 | − | 0.396566i | ||||
\(89\) | 7.80157 | + | 2.40646i | 0.826964 | + | 0.255085i | 0.679214 | − | 0.733940i | \(-0.262321\pi\) |
0.147750 | + | 0.989025i | \(0.452797\pi\) | |||||||
\(90\) | 0.118082 | + | 1.31987i | 0.0124469 | + | 0.139127i | ||||
\(91\) | −10.3425 | + | 7.24149i | −1.08419 | + | 0.759114i | ||||
\(92\) | 7.13886 | − | 5.17508i | 0.744278 | − | 0.539539i | ||||
\(93\) | 5.42048 | − | 2.12738i | 0.562078 | − | 0.220599i | ||||
\(94\) | 10.5330 | − | 11.6855i | 1.08639 | − | 1.20527i | ||||
\(95\) | 4.14218 | + | 0.624333i | 0.424979 | + | 0.0640553i | ||||
\(96\) | −10.9756 | − | 0.851894i | −1.12019 | − | 0.0869461i | ||||
\(97\) | 12.3467 | 1.25361 | 0.626807 | − | 0.779175i | \(-0.284362\pi\) | ||||
0.626807 | + | 0.779175i | \(0.284362\pi\) | |||||||
\(98\) | −9.83512 | + | 1.12713i | −0.993497 | + | 0.113858i | ||||
\(99\) | 3.08284i | 0.309837i | ||||||||
\(100\) | 5.11015 | − | 5.02356i | 0.511015 | − | 0.502356i | ||||
\(101\) | −2.12535 | + | 14.1007i | −0.211480 | + | 1.40308i | 0.591132 | + | 0.806575i | \(0.298681\pi\) |
−0.802612 | + | 0.596502i | \(0.796557\pi\) | |||||||
\(102\) | −5.23191 | − | 4.71588i | −0.518037 | − | 0.466942i | ||||
\(103\) | 6.17267 | + | 15.7277i | 0.608211 | + | 1.54970i | 0.819989 | + | 0.572379i | \(0.193979\pi\) |
−0.211778 | + | 0.977318i | \(0.567925\pi\) | |||||||
\(104\) | 2.43126 | − | 13.2766i | 0.238405 | − | 1.30188i | ||||
\(105\) | −5.34570 | − | 2.99831i | −0.521687 | − | 0.292605i | ||||
\(106\) | −0.0654039 | − | 0.731056i | −0.00635258 | − | 0.0710065i | ||||
\(107\) | −2.72987 | + | 8.85002i | −0.263906 | + | 0.855564i | 0.722519 | + | 0.691352i | \(0.242984\pi\) |
−0.986425 | + | 0.164212i | \(0.947492\pi\) | |||||||
\(108\) | −3.51148 | + | 7.86436i | −0.337892 | + | 0.756748i | ||||
\(109\) | −1.82393 | − | 5.91302i | −0.174700 | − | 0.566365i | −0.999999 | − | 0.00166754i | \(-0.999469\pi\) |
0.825298 | − | 0.564697i | \(-0.191007\pi\) | |||||||
\(110\) | −5.09506 | + | 4.18484i | −0.485795 | + | 0.399009i | ||||
\(111\) | −0.725739 | + | 3.17967i | −0.0688841 | + | 0.301801i | ||||
\(112\) | 6.63681 | − | 8.24335i | 0.627119 | − | 0.778923i | ||||
\(113\) | −3.49296 | − | 15.3037i | −0.328590 | − | 1.43965i | −0.821820 | − | 0.569747i | \(-0.807041\pi\) |
0.493230 | − | 0.869899i | \(-0.335816\pi\) | |||||||
\(114\) | −7.65808 | − | 5.92841i | −0.717245 | − | 0.555246i | ||||
\(115\) | −2.95635 | + | 4.33616i | −0.275681 | + | 0.404349i | ||||
\(116\) | −4.25486 | − | 8.21985i | −0.395054 | − | 0.763194i | ||||
\(117\) | 3.25303 | + | 1.87814i | 0.300743 | + | 0.173634i | ||||
\(118\) | −4.98676 | + | 13.2657i | −0.459068 | + | 1.22121i | ||||
\(119\) | 6.58230 | − | 1.58876i | 0.603398 | − | 0.145641i | ||||
\(120\) | 6.31897 | − | 1.73307i | 0.576841 | − | 0.158207i | ||||
\(121\) | −3.58502 | + | 2.44423i | −0.325911 | + | 0.222202i | ||||
\(122\) | −0.320140 | + | 5.29632i | −0.0289841 | + | 0.479507i | ||||
\(123\) | −3.10870 | − | 3.35038i | −0.280302 | − | 0.302094i | ||||
\(124\) | −3.14048 | − | 5.09416i | −0.282024 | − | 0.457469i | ||||
\(125\) | −4.43306 | + | 9.20535i | −0.396505 | + | 0.823351i | ||||
\(126\) | 1.54059 | + | 2.51015i | 0.137247 | + | 0.223622i | ||||
\(127\) | 14.5236 | − | 6.99417i | 1.28876 | − | 0.620633i | 0.341131 | − | 0.940016i | \(-0.389190\pi\) |
0.947626 | + | 0.319383i | \(0.103476\pi\) | |||||||
\(128\) | 1.14066 | + | 11.2561i | 0.100821 | + | 0.994905i | ||||
\(129\) | −7.76488 | − | 13.4492i | −0.683660 | − | 1.18413i | ||||
\(130\) | 1.31184 | + | 7.92584i | 0.115056 | + | 0.695143i | ||||
\(131\) | 1.41227 | + | 9.36979i | 0.123390 | + | 0.818642i | 0.961830 | + | 0.273647i | \(0.0882302\pi\) |
−0.838440 | + | 0.544994i | \(0.816532\pi\) | |||||||
\(132\) | 15.0014 | − | 2.70585i | 1.30570 | − | 0.235514i | ||||
\(133\) | 8.86181 | − | 2.85470i | 0.768416 | − | 0.247533i | ||||
\(134\) | −8.02481 | − | 13.4475i | −0.693238 | − | 1.16169i | ||||
\(135\) | 0.383089 | − | 5.11196i | 0.0329710 | − | 0.439968i | ||||
\(136\) | −3.81518 | + | 6.15186i | −0.327149 | + | 0.527518i | ||||
\(137\) | −5.55591 | + | 14.1562i | −0.474673 | + | 1.20945i | 0.470360 | + | 0.882474i | \(0.344124\pi\) |
−0.945034 | + | 0.326973i | \(0.893971\pi\) | |||||||
\(138\) | 10.8546 | − | 5.42158i | 0.924003 | − | 0.461515i | ||||
\(139\) | 4.67166 | + | 3.72552i | 0.396245 | + | 0.315995i | 0.801261 | − | 0.598315i | \(-0.204163\pi\) |
−0.405016 | + | 0.914309i | \(0.632734\pi\) | |||||||
\(140\) | −2.05727 | + | 5.95360i | −0.173871 | + | 0.503171i | ||||
\(141\) | 16.9253 | − | 13.4975i | 1.42537 | − | 1.13669i | ||||
\(142\) | −5.21495 | + | 11.2410i | −0.437629 | + | 0.943322i | ||||
\(143\) | 1.39668 | + | 18.6375i | 0.116797 | + | 1.55854i | ||||
\(144\) | −3.05720 | − | 0.752976i | −0.254767 | − | 0.0627480i | ||||
\(145\) | 4.03843 | + | 3.74712i | 0.335374 | + | 0.311181i | ||||
\(146\) | −2.08702 | − | 2.18518i | −0.172723 | − | 0.180846i | ||||
\(147\) | −13.6054 | − | 0.679777i | −1.12216 | − | 0.0560671i | ||||
\(148\) | 3.34831 | + | 0.153946i | 0.275229 | + | 0.0126543i | ||||
\(149\) | −12.6620 | + | 13.6464i | −1.03731 | + | 1.11796i | −0.0444131 | + | 0.999013i | \(0.514142\pi\) |
−0.992901 | + | 0.118945i | \(0.962049\pi\) | |||||||
\(150\) | 8.06635 | − | 5.67172i | 0.658615 | − | 0.463094i | ||||
\(151\) | −0.411488 | − | 5.49092i | −0.0334864 | − | 0.446845i | −0.988596 | − | 0.150592i | \(-0.951882\pi\) |
0.955110 | − | 0.296253i | \(-0.0957370\pi\) | |||||||
\(152\) | −4.59892 | + | 8.82688i | −0.373022 | + | 0.715955i | ||||
\(153\) | −1.25605 | − | 1.57504i | −0.101546 | − | 0.127334i | ||||
\(154\) | −6.00125 | + | 13.3690i | −0.483594 | + | 1.07731i | ||||
\(155\) | 2.78483 | + | 2.22083i | 0.223683 | + | 0.178381i | ||||
\(156\) | 6.28397 | − | 17.4780i | 0.503120 | − | 1.39936i | ||||
\(157\) | 6.18392 | + | 2.42701i | 0.493530 | + | 0.193696i | 0.599036 | − | 0.800722i | \(-0.295551\pi\) |
−0.105505 | + | 0.994419i | \(0.533646\pi\) | |||||||
\(158\) | −15.8119 | − | 8.82731i | −1.25792 | − | 0.702263i | ||||
\(159\) | 0.0754776 | − | 1.00718i | 0.00598576 | − | 0.0798745i | ||||
\(160\) | −2.90559 | − | 6.07483i | −0.229707 | − | 0.480258i | ||||
\(161\) | −1.59486 | + | 11.5546i | −0.125692 | + | 0.910634i | ||||
\(162\) | −8.37556 | + | 12.6737i | −0.658046 | + | 0.995744i | ||||
\(163\) | 1.24761 | + | 8.27736i | 0.0977204 | + | 0.648333i | 0.983046 | + | 0.183360i | \(0.0586976\pi\) |
−0.885325 | + | 0.464972i | \(0.846064\pi\) | |||||||
\(164\) | −2.82145 | + | 3.75534i | −0.220318 | + | 0.293243i | ||||
\(165\) | −7.85740 | + | 4.53647i | −0.611698 | + | 0.353164i | ||||
\(166\) | −1.99203 | − | 8.18171i | −0.154612 | − | 0.635024i | ||||
\(167\) | −11.2602 | + | 5.42265i | −0.871344 | + | 0.419617i | −0.815455 | − | 0.578820i | \(-0.803513\pi\) |
−0.0558883 | + | 0.998437i | \(0.517799\pi\) | |||||||
\(168\) | 10.8624 | − | 9.69987i | 0.838055 | − | 0.748361i | ||||
\(169\) | 8.80466 | + | 4.24010i | 0.677282 | + | 0.326162i | ||||
\(170\) | 0.898048 | − | 4.21395i | 0.0688771 | − | 0.323195i | ||||
\(171\) | −1.88402 | − | 2.03049i | −0.144074 | − | 0.155275i | ||||
\(172\) | −12.1859 | + | 10.3069i | −0.929167 | + | 0.785894i | ||||
\(173\) | −2.37782 | − | 3.48762i | −0.180782 | − | 0.265159i | 0.725141 | − | 0.688600i | \(-0.241774\pi\) |
−0.905924 | + | 0.423441i | \(0.860822\pi\) | |||||||
\(174\) | −3.92938 | − | 12.1153i | −0.297886 | − | 0.918462i | ||||
\(175\) | 0.117912 | + | 9.47883i | 0.00891330 | + | 0.716532i | ||||
\(176\) | −5.47339 | − | 14.6787i | −0.412572 | − | 1.10645i | ||||
\(177\) | −9.75085 | + | 16.8890i | −0.732919 | + | 1.26945i | ||||
\(178\) | 3.24373 | − | 11.0810i | 0.243128 | − | 0.830558i | ||||
\(179\) | 12.1798 | − | 17.8645i | 0.910361 | − | 1.33525i | −0.0315892 | − | 0.999501i | \(-0.510057\pi\) |
0.941950 | − | 0.335753i | \(-0.108991\pi\) | |||||||
\(180\) | 1.86397 | − | 0.193905i | 0.138932 | − | 0.0144528i | ||||
\(181\) | −1.50629 | + | 0.343801i | −0.111962 | + | 0.0255545i | −0.278135 | − | 0.960542i | \(-0.589716\pi\) |
0.166173 | + | 0.986097i | \(0.446859\pi\) | |||||||
\(182\) | 10.4510 | + | 14.4773i | 0.774677 | + | 1.07313i | ||||
\(183\) | −1.62472 | + | 7.11836i | −0.120103 | + | 0.526204i | ||||
\(184\) | −7.46356 | − | 9.98924i | −0.550221 | − | 0.736416i | ||||
\(185\) | −1.90639 | + | 0.588044i | −0.140161 | + | 0.0432339i | ||||
\(186\) | −3.11885 | − | 7.62151i | −0.228685 | − | 0.558837i | ||||
\(187\) | 2.95450 | − | 9.57825i | 0.216054 | − | 0.700431i | ||||
\(188\) | −16.7390 | − | 14.6559i | −1.22082 | − | 1.06889i | ||||
\(189\) | −4.29413 | − | 10.5533i | −0.312352 | − | 0.767643i | ||||
\(190\) | 0.798337 | − | 5.87006i | 0.0579174 | − | 0.425859i | ||||
\(191\) | −2.03779 | − | 5.19221i | −0.147449 | − | 0.375695i | 0.837999 | − | 0.545673i | \(-0.183726\pi\) |
−0.985448 | + | 0.169977i | \(0.945630\pi\) | |||||||
\(192\) | −0.980702 | + | 15.5375i | −0.0707761 | + | 1.12133i | ||||
\(193\) | 10.6741 | + | 1.60886i | 0.768337 | + | 0.115808i | 0.521503 | − | 0.853249i | \(-0.325372\pi\) |
0.246834 | + | 0.969058i | \(0.420610\pi\) | |||||||
\(194\) | −0.251907 | − | 17.4590i | −0.0180859 | − | 1.25348i | ||||
\(195\) | 11.0549i | 0.791658i | ||||||||
\(196\) | 1.79451 | + | 13.8845i | 0.128179 | + | 0.991751i | ||||
\(197\) | − | 2.11833i | − | 0.150925i | −0.997149 | − | 0.0754625i | \(-0.975957\pi\) | ||
0.997149 | − | 0.0754625i | \(-0.0240433\pi\) | |||||||
\(198\) | 4.35934 | − | 0.0628988i | 0.309805 | − | 0.00447002i | ||||
\(199\) | −12.5390 | − | 1.88996i | −0.888869 | − | 0.133975i | −0.311294 | − | 0.950314i | \(-0.600763\pi\) |
−0.577574 | + | 0.816338i | \(0.696001\pi\) | |||||||
\(200\) | −7.20790 | − | 7.12360i | −0.509676 | − | 0.503714i | ||||
\(201\) | −7.87280 | − | 20.0596i | −0.555304 | − | 1.41489i | ||||
\(202\) | 19.9828 | + | 2.71768i | 1.40598 | + | 0.191216i | ||||
\(203\) | 11.7443 | + | 3.46325i | 0.824286 | + | 0.243072i | ||||
\(204\) | −6.56182 | + | 7.49449i | −0.459420 | + | 0.524719i | ||||
\(205\) | 0.824061 | − | 2.67154i | 0.0575549 | − | 0.186589i | ||||
\(206\) | 22.1141 | − | 9.04945i | 1.54076 | − | 0.630505i | ||||
\(207\) | 3.31606 | − | 1.02287i | 0.230482 | − | 0.0710943i | ||||
\(208\) | −18.8236 | − | 3.16709i | −1.30518 | − | 0.219598i | ||||
\(209\) | 3.06677 | − | 13.4364i | 0.212133 | − | 0.929416i | ||||
\(210\) | −4.13074 | + | 7.62034i | −0.285048 | + | 0.525854i | ||||
\(211\) | −21.6885 | + | 4.95025i | −1.49309 | + | 0.340789i | −0.889660 | − | 0.456623i | \(-0.849059\pi\) |
−0.603435 | + | 0.797412i | \(0.706202\pi\) | |||||||
\(212\) | −1.03243 | + | 0.107401i | −0.0709074 | + | 0.00737633i | ||||
\(213\) | −9.60569 | + | 14.0890i | −0.658171 | + | 0.965359i | ||||
\(214\) | 12.5702 | + | 3.67965i | 0.859282 | + | 0.251536i | ||||
\(215\) | 4.74978 | − | 8.22686i | 0.323932 | − | 0.561067i | ||||
\(216\) | 11.1924 | + | 4.80501i | 0.761544 | + | 0.326939i | ||||
\(217\) | 7.73946 | + | 1.66548i | 0.525389 | + | 0.113060i | ||||
\(218\) | −8.32419 | + | 2.69979i | −0.563785 | + | 0.182853i | ||||
\(219\) | −2.34232 | − | 3.43555i | −0.158279 | − | 0.232153i | ||||
\(220\) | 6.02160 | + | 7.11937i | 0.405976 | + | 0.479988i | ||||
\(221\) | −8.30708 | − | 8.95291i | −0.558795 | − | 0.602238i | ||||
\(222\) | 4.51107 | + | 0.961369i | 0.302763 | + | 0.0645229i | ||||
\(223\) | −9.63843 | − | 4.64162i | −0.645437 | − | 0.310826i | 0.0823766 | − | 0.996601i | \(-0.473749\pi\) |
−0.727813 | + | 0.685775i | \(0.759463\pi\) | |||||||
\(224\) | −11.7921 | − | 9.21670i | −0.787890 | − | 0.615816i | ||||
\(225\) | 2.54098 | − | 1.22367i | 0.169399 | − | 0.0815782i | ||||
\(226\) | −21.5691 | + | 5.25151i | −1.43476 | + | 0.349325i | ||||
\(227\) | −10.7692 | + | 6.21763i | −0.714780 | + | 0.412678i | −0.812828 | − | 0.582503i | \(-0.802073\pi\) |
0.0980485 | + | 0.995182i | \(0.468740\pi\) | |||||||
\(228\) | −8.22691 | + | 10.9500i | −0.544841 | + | 0.725181i | ||||
\(229\) | 3.94116 | + | 26.1479i | 0.260439 | + | 1.72790i | 0.611235 | + | 0.791449i | \(0.290673\pi\) |
−0.350796 | + | 0.936452i | \(0.614089\pi\) | |||||||
\(230\) | 6.19194 | + | 4.09200i | 0.408285 | + | 0.269819i | ||||
\(231\) | −11.1513 | + | 16.8013i | −0.733705 | + | 1.10544i | ||||
\(232\) | −11.5366 | + | 6.18436i | −0.757415 | + | 0.406023i | ||||
\(233\) | −1.50368 | + | 20.0652i | −0.0985090 | + | 1.31451i | 0.700699 | + | 0.713457i | \(0.252872\pi\) |
−0.799208 | + | 0.601055i | \(0.794747\pi\) | |||||||
\(234\) | 2.58944 | − | 4.63832i | 0.169277 | − | 0.303217i | ||||
\(235\) | 12.3269 | + | 4.83794i | 0.804116 | + | 0.315592i | ||||
\(236\) | 18.8603 | + | 6.78095i | 1.22770 | + | 0.441402i | ||||
\(237\) | −19.4827 | − | 15.5369i | −1.26554 | − | 1.00923i | ||||
\(238\) | −2.38091 | − | 9.27539i | −0.154331 | − | 0.601235i | ||||
\(239\) | −9.27210 | − | 11.6268i | −0.599762 | − | 0.752078i | 0.385579 | − | 0.922675i | \(-0.374002\pi\) |
−0.985341 | + | 0.170597i | \(0.945430\pi\) | |||||||
\(240\) | −2.57960 | − | 8.90009i | −0.166512 | − | 0.574498i | ||||
\(241\) | 1.89431 | + | 25.2779i | 0.122024 | + | 1.62829i | 0.636844 | + | 0.770993i | \(0.280240\pi\) |
−0.514820 | + | 0.857298i | \(0.672141\pi\) | |||||||
\(242\) | 3.52944 | + | 5.01959i | 0.226881 | + | 0.322671i | ||||
\(243\) | −5.43130 | + | 5.85355i | −0.348418 | + | 0.375505i | ||||
\(244\) | 7.49589 | + | 0.344640i | 0.479875 | + | 0.0220633i | ||||
\(245\) | −3.80111 | − | 7.41536i | −0.242844 | − | 0.473750i | ||||
\(246\) | −4.67423 | + | 4.46426i | −0.298018 | + | 0.284631i | ||||
\(247\) | −12.3098 | − | 11.4219i | −0.783256 | − | 0.726755i | ||||
\(248\) | −7.13941 | + | 4.54479i | −0.453353 | + | 0.288594i | ||||
\(249\) | −0.865936 | − | 11.5551i | −0.0548764 | − | 0.732275i | ||||
\(250\) | 13.1074 | + | 6.08083i | 0.828986 | + | 0.384585i | ||||
\(251\) | −18.2316 | + | 14.5392i | −1.15077 | + | 0.917706i | −0.997513 | − | 0.0704810i | \(-0.977547\pi\) |
−0.153254 | + | 0.988187i | \(0.548975\pi\) | |||||||
\(252\) | 3.51809 | − | 2.22972i | 0.221619 | − | 0.140459i | ||||
\(253\) | 13.4995 | + | 10.7655i | 0.848705 | + | 0.676819i | ||||
\(254\) | −10.1865 | − | 20.3946i | −0.639161 | − | 1.27967i | ||||
\(255\) | 2.16607 | − | 5.51907i | 0.135645 | − | 0.345617i | ||||
\(256\) | 15.8935 | − | 1.84262i | 0.993346 | − | 0.115164i | ||||
\(257\) | 1.22337 | − | 16.3247i | 0.0763117 | − | 1.01831i | −0.819269 | − | 0.573409i | \(-0.805620\pi\) |
0.895581 | − | 0.444899i | \(-0.146761\pi\) | |||||||
\(258\) | −18.8596 | + | 11.2545i | −1.17415 | + | 0.700672i | ||||
\(259\) | −3.21264 | + | 3.05613i | −0.199624 | + | 0.189899i | ||||
\(260\) | 11.1809 | − | 2.01674i | 0.693410 | − | 0.125073i | ||||
\(261\) | −0.542933 | − | 3.60212i | −0.0336067 | − | 0.222966i | ||||
\(262\) | 13.2207 | − | 2.18821i | 0.816777 | − | 0.135188i | ||||
\(263\) | −14.6725 | − | 25.4136i | −0.904747 | − | 1.56707i | −0.821257 | − | 0.570559i | \(-0.806727\pi\) |
−0.0834904 | − | 0.996509i | \(-0.526607\pi\) | |||||||
\(264\) | −4.13233 | − | 21.1578i | −0.254327 | − | 1.30217i | ||||
\(265\) | 0.556636 | − | 0.268062i | 0.0341939 | − | 0.0164669i | ||||
\(266\) | −4.21753 | − | 12.4729i | −0.258594 | − | 0.764765i | ||||
\(267\) | 6.89362 | − | 14.3147i | 0.421883 | − | 0.876048i | ||||
\(268\) | −18.8520 | + | 11.6220i | −1.15157 | + | 0.709925i | ||||
\(269\) | 6.07796 | + | 6.55048i | 0.370580 | + | 0.399390i | 0.890617 | − | 0.454753i | \(-0.150273\pi\) |
−0.520038 | + | 0.854143i | \(0.674082\pi\) | |||||||
\(270\) | −7.23647 | − | 0.437414i | −0.440398 | − | 0.0266202i | ||||
\(271\) | −8.76628 | + | 5.97675i | −0.532514 | + | 0.363062i | −0.799526 | − | 0.600631i | \(-0.794916\pi\) |
0.267012 | + | 0.963693i | \(0.413964\pi\) | |||||||
\(272\) | 8.77698 | + | 5.26940i | 0.532182 | + | 0.319504i | ||||
\(273\) | 10.9352 | + | 22.0027i | 0.661826 | + | 1.33166i | ||||
\(274\) | 20.1312 | + | 7.56760i | 1.21617 | + | 0.457175i | ||||
\(275\) | 12.1526 | + | 7.01629i | 0.732827 | + | 0.423098i | ||||
\(276\) | −7.88793 | − | 15.2385i | −0.474798 | − | 0.917248i | ||||
\(277\) | 2.77833 | − | 4.07507i | 0.166934 | − | 0.244847i | −0.733652 | − | 0.679526i | \(-0.762186\pi\) |
0.900586 | + | 0.434679i | \(0.143138\pi\) | |||||||
\(278\) | 5.17282 | − | 6.68204i | 0.310245 | − | 0.400762i | ||||
\(279\) | −0.524101 | − | 2.29624i | −0.0313771 | − | 0.137472i | ||||
\(280\) | 8.46076 | + | 2.78764i | 0.505627 | + | 0.166594i | ||||
\(281\) | −5.01512 | + | 21.9727i | −0.299177 | + | 1.31078i | 0.572179 | + | 0.820128i | \(0.306098\pi\) |
−0.871356 | + | 0.490651i | \(0.836759\pi\) | |||||||
\(282\) | −19.4317 | − | 23.6581i | −1.15714 | − | 1.40882i | ||||
\(283\) | −3.63787 | − | 11.7937i | −0.216249 | − | 0.701062i | −0.997083 | − | 0.0763237i | \(-0.975682\pi\) |
0.780834 | − | 0.624738i | \(-0.214794\pi\) | |||||||
\(284\) | 16.0019 | + | 7.14493i | 0.949538 | + | 0.423974i | ||||
\(285\) | 2.40284 | − | 7.78981i | 0.142332 | − | 0.461428i | ||||
\(286\) | 26.3261 | − | 2.35526i | 1.55670 | − | 0.139270i | ||||
\(287\) | −1.00246 | − | 6.13234i | −0.0591736 | − | 0.361980i | ||||
\(288\) | −1.00238 | + | 4.33845i | −0.0590660 | + | 0.255646i | ||||
\(289\) | −3.81777 | − | 9.72752i | −0.224575 | − | 0.572207i | ||||
\(290\) | 5.21628 | − | 5.78706i | 0.306310 | − | 0.339828i | ||||
\(291\) | 3.58109 | − | 23.7589i | 0.209927 | − | 1.39277i | ||||
\(292\) | −3.04740 | + | 2.99576i | −0.178336 | + | 0.175314i | ||||
\(293\) | 20.8504i | 1.21810i | 0.793134 | + | 0.609048i | \(0.208448\pi\) | ||||
−0.793134 | + | 0.609048i | \(0.791552\pi\) | |||||||
\(294\) | −0.683660 | + | 19.2529i | −0.0398718 | + | 1.12285i | ||||
\(295\) | −11.9292 | −0.694545 | ||||||||
\(296\) | 0.149374 | − | 4.73787i | 0.00868221 | − | 0.275383i | ||||
\(297\) | −16.6774 | − | 2.51372i | −0.967723 | − | 0.145861i | ||||
\(298\) | 19.5553 | + | 17.6265i | 1.13281 | + | 1.02108i | ||||
\(299\) | 19.5840 | − | 7.68615i | 1.13257 | − | 0.444502i | ||||
\(300\) | −8.18477 | − | 11.2906i | −0.472548 | − | 0.651865i | ||||
\(301\) | 1.31580 | − | 21.0724i | 0.0758414 | − | 1.21459i | ||||
\(302\) | −7.75613 | + | 0.693901i | −0.446315 | + | 0.0399295i | ||||
\(303\) | 26.5179 | + | 8.17970i | 1.52342 | + | 0.469911i | ||||
\(304\) | 12.5756 | + | 6.32308i | 0.721262 | + | 0.362654i | ||||
\(305\) | −4.26786 | + | 1.31646i | −0.244377 | + | 0.0753802i | ||||
\(306\) | −2.20158 | + | 1.80827i | −0.125856 | + | 0.103372i | ||||
\(307\) | 10.1933 | + | 2.32655i | 0.581760 | + | 0.132783i | 0.503266 | − | 0.864132i | \(-0.332132\pi\) |
0.0784943 | + | 0.996915i | \(0.474989\pi\) | |||||||
\(308\) | 19.0271 | + | 8.21340i | 1.08417 | + | 0.468002i | ||||
\(309\) | 32.0555 | − | 7.31646i | 1.82357 | − | 0.416219i | ||||
\(310\) | 3.08358 | − | 3.98325i | 0.175136 | − | 0.226233i | ||||
\(311\) | −2.60019 | − | 1.77278i | −0.147443 | − | 0.100525i | 0.487351 | − | 0.873206i | \(-0.337963\pi\) |
−0.634795 | + | 0.772681i | \(0.718915\pi\) | |||||||
\(312\) | −24.8433 | − | 8.52935i | −1.40648 | − | 0.482879i | ||||
\(313\) | 3.28172 | − | 5.68411i | 0.185494 | − | 0.321285i | −0.758249 | − | 0.651965i | \(-0.773945\pi\) |
0.943743 | + | 0.330680i | \(0.107278\pi\) | |||||||
\(314\) | 3.30578 | − | 8.79399i | 0.186556 | − | 0.496274i | ||||
\(315\) | −1.52147 | + | 1.95733i | −0.0857253 | + | 0.110283i | ||||
\(316\) | −12.1598 | + | 22.5391i | −0.684042 | + | 1.26793i | ||||
\(317\) | 8.45911 | + | 12.4072i | 0.475111 | + | 0.696859i | 0.986733 | − | 0.162351i | \(-0.0519077\pi\) |
−0.511622 | + | 0.859210i | \(0.670955\pi\) | |||||||
\(318\) | −1.42576 | − | 0.0861810i | −0.0799525 | − | 0.00483279i | ||||
\(319\) | 13.2867 | − | 12.3282i | 0.743911 | − | 0.690249i | ||||
\(320\) | −8.53093 | + | 4.23264i | −0.476894 | + | 0.236612i | ||||
\(321\) | 16.2385 | + | 7.82005i | 0.906345 | + | 0.436473i | ||||
\(322\) | 16.3716 | + | 2.01949i | 0.912352 | + | 0.112542i | ||||
\(323\) | 3.90760 | + | 8.11422i | 0.217425 | + | 0.451488i | ||||
\(324\) | 18.0924 | + | 11.5850i | 1.00513 | + | 0.643612i | ||||
\(325\) | 14.8073 | − | 8.54897i | 0.821359 | − | 0.474212i | ||||
\(326\) | 11.6793 | − | 1.93309i | 0.646855 | − | 0.107064i | ||||
\(327\) | −11.9076 | + | 1.79478i | −0.658490 | + | 0.0992515i | ||||
\(328\) | 5.36786 | + | 3.91310i | 0.296391 | + | 0.216065i | ||||
\(329\) | 29.3199 | − | 2.56433i | 1.61646 | − | 0.141376i | ||||
\(330\) | 6.57519 | + | 11.0183i | 0.361952 | + | 0.606539i | ||||
\(331\) | −16.2772 | − | 1.21981i | −0.894675 | − | 0.0670466i | −0.380548 | − | 0.924761i | \(-0.624265\pi\) |
−0.514126 | + | 0.857714i | \(0.671884\pi\) | |||||||
\(332\) | −11.5288 | + | 2.98380i | −0.632727 | + | 0.163757i | ||||
\(333\) | 1.22800 | + | 0.481954i | 0.0672939 | + | 0.0264109i | ||||
\(334\) | 7.89772 | + | 15.8121i | 0.432144 | + | 0.865199i | ||||
\(335\) | 8.21861 | − | 10.3058i | 0.449031 | − | 0.563067i | ||||
\(336\) | −13.9379 | − | 15.1623i | −0.760374 | − | 0.827171i | ||||
\(337\) | 19.2302 | + | 24.1139i | 1.04753 | + | 1.31357i | 0.947909 | + | 0.318540i | \(0.103193\pi\) |
0.0996244 | + | 0.995025i | \(0.468236\pi\) | |||||||
\(338\) | 5.81614 | − | 12.5369i | 0.316357 | − | 0.681917i | ||||
\(339\) | −30.4623 | + | 2.28283i | −1.65448 | + | 0.123986i | ||||
\(340\) | −5.97713 | − | 1.18392i | −0.324155 | − | 0.0642072i | ||||
\(341\) | 7.97092 | − | 8.59061i | 0.431650 | − | 0.465208i | ||||
\(342\) | −2.83280 | + | 2.70555i | −0.153181 | + | 0.146300i | ||||
\(343\) | −14.9004 | − | 10.9989i | −0.804548 | − | 0.593887i | ||||
\(344\) | 14.8233 | + | 17.0214i | 0.799217 | + | 0.917732i | ||||
\(345\) | 7.48670 | + | 6.94665i | 0.403071 | + | 0.373995i | ||||
\(346\) | −4.88321 | + | 3.43355i | −0.262523 | + | 0.184589i | ||||
\(347\) | −15.1844 | + | 1.13791i | −0.815140 | + | 0.0610863i | −0.475773 | − | 0.879568i | \(-0.657832\pi\) |
−0.339367 | + | 0.940654i | \(0.610213\pi\) | |||||||
\(348\) | −17.0517 | + | 5.80360i | −0.914069 | + | 0.311105i | ||||
\(349\) | −1.37333 | + | 1.09520i | −0.0735128 | + | 0.0586245i | −0.659557 | − | 0.751655i | \(-0.729256\pi\) |
0.586044 | + | 0.810279i | \(0.300685\pi\) | |||||||
\(350\) | 13.4013 | − | 0.360131i | 0.716329 | − | 0.0192498i | ||||
\(351\) | −12.8128 | + | 16.0667i | −0.683896 | + | 0.857578i | ||||
\(352\) | −20.6450 | + | 8.03922i | −1.10038 | + | 0.428492i | ||||
\(353\) | 7.74842 | − | 19.7427i | 0.412407 | − | 1.05080i | −0.562225 | − | 0.826984i | \(-0.690055\pi\) |
0.974632 | − | 0.223812i | \(-0.0718501\pi\) | |||||||
\(354\) | 24.0811 | + | 13.4438i | 1.27989 | + | 0.714528i | ||||
\(355\) | −10.4015 | − | 0.779485i | −0.552054 | − | 0.0413707i | ||||
\(356\) | −15.7355 | − | 4.36076i | −0.833980 | − | 0.231120i | ||||
\(357\) | −1.14812 | − | 13.1273i | −0.0607650 | − | 0.694769i | ||||
\(358\) | −25.5101 | − | 16.8586i | −1.34825 | − | 0.891002i | ||||
\(359\) | −9.54606 | + | 1.43884i | −0.503822 | + | 0.0759389i | −0.396036 | − | 0.918235i | \(-0.629614\pi\) |
−0.107786 | + | 0.994174i | \(0.534376\pi\) | |||||||
\(360\) | −0.312225 | − | 2.63183i | −0.0164557 | − | 0.138710i | ||||
\(361\) | −3.30851 | − | 5.73050i | −0.174132 | − | 0.301605i | ||||
\(362\) | 0.516890 | + | 2.12298i | 0.0271671 | + | 0.111581i | ||||
\(363\) | 3.66366 | + | 7.60767i | 0.192292 | + | 0.399299i | ||||
\(364\) | 20.2586 | − | 15.0737i | 1.06184 | − | 0.790078i | ||||
\(365\) | 1.10358 | − | 2.29160i | 0.0577639 | − | 0.119948i | ||||
\(366\) | 10.0990 | + | 2.15222i | 0.527882 | + | 0.112499i | ||||
\(367\) | 27.9537 | − | 25.9373i | 1.45917 | − | 1.35391i | 0.663524 | − | 0.748155i | \(-0.269060\pi\) |
0.795648 | − | 0.605759i | \(-0.207131\pi\) | |||||||
\(368\) | −13.9732 | + | 10.7578i | −0.728402 | + | 0.560788i | ||||
\(369\) | −1.52743 | + | 1.04139i | −0.0795150 | + | 0.0542124i | ||||
\(370\) | 0.870429 | + | 2.68377i | 0.0452515 | + | 0.139522i | ||||
\(371\) | 0.842721 | − | 1.08413i | 0.0437519 | − | 0.0562854i | ||||
\(372\) | −10.7137 | + | 4.56577i | −0.555479 | + | 0.236724i | ||||
\(373\) | 17.3776 | + | 10.0330i | 0.899778 | + | 0.519487i | 0.877128 | − | 0.480256i | \(-0.159456\pi\) |
0.0226499 | + | 0.999743i | \(0.492790\pi\) | |||||||
\(374\) | −13.6046 | − | 3.98244i | −0.703475 | − | 0.205927i | ||||
\(375\) | 16.4283 | + | 11.2006i | 0.848352 | + | 0.578397i | ||||
\(376\) | −20.3829 | + | 23.9691i | −1.05117 | + | 1.23611i | ||||
\(377\) | −4.91427 | − | 21.5308i | −0.253098 | − | 1.10889i | ||||
\(378\) | −14.8355 | + | 6.28750i | −0.763057 | + | 0.323394i | ||||
\(379\) | −2.76704 | − | 0.631559i | −0.142133 | − | 0.0324410i | 0.150862 | − | 0.988555i | \(-0.451795\pi\) |
−0.292996 | + | 0.956114i | \(0.594652\pi\) | |||||||
\(380\) | −8.31694 | − | 1.00913i | −0.426650 | − | 0.0517675i | ||||
\(381\) | −9.24656 | − | 29.9766i | −0.473716 | − | 1.53575i | ||||
\(382\) | −7.30055 | + | 2.98751i | −0.373529 | + | 0.152854i | ||||
\(383\) | 23.1639 | + | 7.14512i | 1.18362 | + | 0.365099i | 0.823233 | − | 0.567704i | \(-0.192168\pi\) |
0.360388 | + | 0.932802i | \(0.382644\pi\) | |||||||
\(384\) | 21.9911 | + | 1.06977i | 1.12223 | + | 0.0545913i | ||||
\(385\) | −12.3111 | − | 0.768728i | −0.627431 | − | 0.0391780i | ||||
\(386\) | 2.05725 | − | 15.1267i | 0.104711 | − | 0.769928i | ||||
\(387\) | −5.84726 | + | 2.29488i | −0.297233 | + | 0.116655i | ||||
\(388\) | −24.6830 | + | 0.712427i | −1.25309 | + | 0.0361680i | ||||
\(389\) | −1.15754 | + | 7.67977i | −0.0586896 | + | 0.389380i | 0.940130 | + | 0.340815i | \(0.110703\pi\) |
−0.998820 | + | 0.0485650i | \(0.984535\pi\) | |||||||
\(390\) | 15.6324 | − | 0.225552i | 0.791576 | − | 0.0114213i | ||||
\(391\) | −11.2831 | −0.570613 | ||||||||
\(392\) | 19.5970 | − | 2.82083i | 0.989799 | − | 0.142474i | ||||
\(393\) | 18.4401 | 0.930180 | ||||||||
\(394\) | −2.99547 | + | 0.0432201i | −0.150909 | + | 0.00217740i | ||||
\(395\) | 2.27187 | − | 15.0729i | 0.114310 | − | 0.758399i | ||||
\(396\) | −0.177886 | − | 6.16311i | −0.00893911 | − | 0.309708i | ||||
\(397\) | 10.7303 | − | 4.21134i | 0.538539 | − | 0.211361i | −0.0804528 | − | 0.996758i | \(-0.525637\pi\) |
0.618992 | + | 0.785397i | \(0.287541\pi\) | |||||||
\(398\) | −2.41669 | + | 17.7696i | −0.121138 | + | 0.890709i | ||||
\(399\) | −2.92303 | − | 17.8810i | −0.146335 | − | 0.895168i | ||||
\(400\) | −9.92618 | + | 10.3378i | −0.496309 | + | 0.516890i | ||||
\(401\) | 31.4356 | + | 9.69660i | 1.56982 | + | 0.484225i | 0.953023 | − | 0.302898i | \(-0.0979543\pi\) |
0.616796 | + | 0.787123i | \(0.288430\pi\) | |||||||
\(402\) | −28.2049 | + | 11.5419i | −1.40673 | + | 0.575659i | ||||
\(403\) | −4.20879 | − | 13.6446i | −0.209655 | − | 0.679684i | ||||
\(404\) | 3.43528 | − | 28.3124i | 0.170912 | − | 1.40859i | ||||
\(405\) | −12.4665 | − | 2.84540i | −0.619467 | − | 0.141389i | ||||
\(406\) | 4.65764 | − | 16.6778i | 0.231155 | − | 0.827707i | ||||
\(407\) | 1.46057 | + | 6.39918i | 0.0723978 | + | 0.317196i | ||||
\(408\) | 10.7316 | + | 9.12595i | 0.531293 | + | 0.451802i | ||||
\(409\) | −0.195955 | − | 0.133600i | −0.00968934 | − | 0.00660608i | 0.558466 | − | 0.829528i | \(-0.311390\pi\) |
−0.568155 | + | 0.822922i | \(0.692343\pi\) | |||||||
\(410\) | −3.79455 | − | 1.11077i | −0.187399 | − | 0.0548570i | ||||
\(411\) | 25.6297 | + | 14.7973i | 1.26422 | + | 0.729897i | ||||
\(412\) | −13.2477 | − | 31.0861i | −0.652668 | − | 1.53150i | ||||
\(413\) | −23.7428 | + | 11.8000i | −1.16831 | + | 0.580639i | ||||
\(414\) | −1.51406 | − | 4.66826i | −0.0744121 | − | 0.229432i | ||||
\(415\) | 5.85645 | − | 3.99286i | 0.287482 | − | 0.196002i | ||||
\(416\) | −4.09441 | + | 26.6825i | −0.200745 | + | 1.30822i | ||||
\(417\) | 8.52409 | − | 7.90920i | 0.417427 | − | 0.387315i | ||||
\(418\) | −19.0625 | − | 4.06248i | −0.932379 | − | 0.198702i | ||||
\(419\) | 7.22554 | − | 15.0040i | 0.352991 | − | 0.732993i | −0.646563 | − | 0.762860i | \(-0.723794\pi\) |
0.999554 | + | 0.0298678i | \(0.00950862\pi\) | |||||||
\(420\) | 10.8599 | + | 5.68566i | 0.529911 | + | 0.277432i | ||||
\(421\) | −13.5471 | − | 28.1308i | −0.660244 | − | 1.37101i | −0.914782 | − | 0.403949i | \(-0.867637\pi\) |
0.254537 | − | 0.967063i | \(-0.418077\pi\) | |||||||
\(422\) | 7.44249 | + | 30.5679i | 0.362295 | + | 1.48802i | ||||
\(423\) | −4.37815 | − | 7.58317i | −0.212873 | − | 0.368707i | ||||
\(424\) | 0.172937 | + | 1.45773i | 0.00839855 | + | 0.0707936i | ||||
\(425\) | −9.06746 | + | 1.36670i | −0.439837 | + | 0.0662947i | ||||
\(426\) | 20.1187 | + | 13.2956i | 0.974754 | + | 0.644175i | ||||
\(427\) | −7.19217 | + | 6.84179i | −0.348053 | + | 0.331098i | ||||
\(428\) | 4.94680 | − | 17.8502i | 0.239113 | − | 0.862822i | ||||
\(429\) | 36.2696 | + | 2.71803i | 1.75111 | + | 0.131228i | ||||
\(430\) | −11.7302 | − | 6.54865i | −0.565682 | − | 0.315804i | ||||
\(431\) | −6.08756 | + | 15.5108i | −0.293227 | + | 0.747131i | 0.706015 | + | 0.708197i | \(0.250491\pi\) |
−0.999242 | + | 0.0389336i | \(0.987604\pi\) | |||||||
\(432\) | 6.56624 | − | 15.9248i | 0.315919 | − | 0.766182i | ||||
\(433\) | −14.9458 | + | 18.7414i | −0.718247 | + | 0.900653i | −0.998237 | − | 0.0593496i | \(-0.981097\pi\) |
0.279990 | + | 0.960003i | \(0.409669\pi\) | |||||||
\(434\) | 2.19719 | − | 10.9781i | 0.105468 | − | 0.526965i | ||||
\(435\) | 8.38199 | − | 6.68441i | 0.401886 | − | 0.320493i | ||||
\(436\) | 3.98752 | + | 11.7159i | 0.190968 | + | 0.561089i | ||||
\(437\) | −15.4704 | + | 1.15935i | −0.740051 | + | 0.0554591i | ||||
\(438\) | −4.81031 | + | 3.38229i | −0.229845 | + | 0.161612i | ||||
\(439\) | −21.6430 | − | 20.0818i | −1.03296 | − | 0.958450i | −0.0338033 | − | 0.999429i | \(-0.510762\pi\) |
−0.999160 | + | 0.0409786i | \(0.986952\pi\) | |||||||
\(440\) | 9.94440 | − | 8.66019i | 0.474081 | − | 0.412859i | ||||
\(441\) | −1.09208 | + | 5.40068i | −0.0520040 | + | 0.257175i | ||||
\(442\) | −12.4905 | + | 11.9294i | −0.594113 | + | 0.567425i | ||||
\(443\) | −25.4157 | + | 27.3916i | −1.20754 | + | 1.30142i | −0.266213 | + | 0.963914i | \(0.585772\pi\) |
−0.941325 | + | 0.337502i | \(0.890418\pi\) | |||||||
\(444\) | 1.26740 | − | 6.39857i | 0.0601482 | − | 0.303663i | ||||
\(445\) | 9.69162 | − | 0.726287i | 0.459427 | − | 0.0344293i | ||||
\(446\) | −6.36691 | + | 13.7241i | −0.301482 | + | 0.649854i | ||||
\(447\) | 22.5876 | + | 28.3239i | 1.06835 | + | 1.33967i | ||||
\(448\) | −12.7924 | + | 16.8628i | −0.604386 | + | 0.796692i | ||||
\(449\) | −16.7446 | + | 20.9970i | −0.790225 | + | 0.990911i | 0.209689 | + | 0.977768i | \(0.432755\pi\) |
−0.999914 | + | 0.0131425i | \(0.995817\pi\) | |||||||
\(450\) | −1.78220 | − | 3.56815i | −0.0840137 | − | 0.168204i | ||||
\(451\) | −8.56234 | − | 3.36047i | −0.403185 | − | 0.158238i | ||||
\(452\) | 7.86606 | + | 30.3930i | 0.369988 | + | 1.42957i | ||||
\(453\) | −10.6856 | − | 0.800779i | −0.502056 | − | 0.0376239i | ||||
\(454\) | 9.01186 | + | 15.1016i | 0.422948 | + | 0.708752i | ||||
\(455\) | −8.31137 | + | 12.5224i | −0.389643 | + | 0.587060i | ||||
\(456\) | 15.6519 | + | 11.4100i | 0.732966 | + | 0.534322i | ||||
\(457\) | −17.9694 | + | 2.70845i | −0.840572 | + | 0.126696i | −0.555196 | − | 0.831720i | \(-0.687357\pi\) |
−0.285376 | + | 0.958416i | \(0.592119\pi\) | |||||||
\(458\) | 36.8944 | − | 6.10655i | 1.72396 | − | 0.285341i | ||||
\(459\) | 9.54475 | − | 5.51066i | 0.445511 | − | 0.257216i | ||||
\(460\) | 5.66003 | − | 8.83931i | 0.263900 | − | 0.412135i | ||||
\(461\) | −9.06077 | − | 18.8149i | −0.422002 | − | 0.876296i | −0.998256 | − | 0.0590259i | \(-0.981201\pi\) |
0.576254 | − | 0.817270i | \(-0.304514\pi\) | |||||||
\(462\) | 23.9857 | + | 15.4260i | 1.11591 | + | 0.717680i | ||||
\(463\) | −18.7783 | − | 9.04316i | −0.872703 | − | 0.420271i | −0.0567488 | − | 0.998388i | \(-0.518073\pi\) |
−0.815954 | + | 0.578117i | \(0.803788\pi\) | |||||||
\(464\) | 8.98048 | + | 16.1873i | 0.416908 | + | 0.751478i | ||||
\(465\) | 5.08132 | − | 4.71477i | 0.235640 | − | 0.218642i | ||||
\(466\) | 28.4041 | + | 1.71691i | 1.31580 | + | 0.0795343i | ||||
\(467\) | 14.6659 | + | 21.5109i | 0.678657 | + | 0.995408i | 0.998845 | + | 0.0480533i | \(0.0153017\pi\) |
−0.320187 | + | 0.947354i | \(0.603746\pi\) | |||||||
\(468\) | −6.61173 | − | 3.56701i | −0.305627 | − | 0.164885i | ||||
\(469\) | 6.16343 | − | 28.6414i | 0.284601 | − | 1.32254i | ||||
\(470\) | 6.58966 | − | 17.5297i | 0.303959 | − | 0.808586i | ||||
\(471\) | 6.46396 | − | 11.1959i | 0.297844 | − | 0.515880i | ||||
\(472\) | 9.20390 | − | 26.8081i | 0.423644 | − | 1.23394i | ||||
\(473\) | −25.8234 | − | 17.6061i | −1.18736 | − | 0.809528i | ||||
\(474\) | −21.5727 | + | 27.8668i | −0.990869 | + | 1.27997i | ||||
\(475\) | −12.2921 | + | 2.80558i | −0.563998 | + | 0.128729i | ||||
\(476\) | −13.0674 | + | 3.55601i | −0.598945 | + | 0.162989i | ||||
\(477\) | −0.398283 | − | 0.0909056i | −0.0182361 | − | 0.00416228i | ||||
\(478\) | −16.2519 | + | 13.3486i | −0.743347 | + | 0.610550i | ||||
\(479\) | 28.4803 | − | 8.78502i | 1.30130 | − | 0.401398i | 0.434778 | − | 0.900538i | \(-0.356827\pi\) |
0.866521 | + | 0.499140i | \(0.166351\pi\) | |||||||
\(480\) | −12.5327 | + | 3.82931i | −0.572036 | + | 0.174783i | ||||
\(481\) | 7.64227 | + | 2.35733i | 0.348458 | + | 0.107485i | ||||
\(482\) | 35.7059 | − | 3.19443i | 1.62636 | − | 0.145502i | ||||
\(483\) | 21.7723 | + | 6.42039i | 0.990673 | + | 0.292138i | ||||
\(484\) | 7.02602 | − | 5.09328i | 0.319364 | − | 0.231513i | ||||
\(485\) | 13.6815 | − | 5.36961i | 0.621246 | − | 0.243821i | ||||
\(486\) | 8.38812 | + | 7.56079i | 0.380493 | + | 0.342964i | ||||
\(487\) | 36.1139 | + | 5.44329i | 1.63648 | + | 0.246659i | 0.901925 | − | 0.431893i | \(-0.142154\pi\) |
0.734552 | + | 0.678553i | \(0.237392\pi\) | |||||||
\(488\) | 0.334406 | − | 10.6067i | 0.0151378 | − | 0.480143i | ||||
\(489\) | 16.2902 | 0.736667 | ||||||||
\(490\) | −10.4083 | + | 5.52632i | −0.470197 | + | 0.249654i | ||||
\(491\) | 7.21185i | 0.325466i | 0.986670 | + | 0.162733i | \(0.0520309\pi\) | ||||
−0.986670 | + | 0.162733i | \(0.947969\pi\) | |||||||
\(492\) | 6.40813 | + | 6.51859i | 0.288901 | + | 0.293881i | ||||
\(493\) | −1.76530 | + | 11.7120i | −0.0795050 | + | 0.527481i | ||||
\(494\) | −15.9001 | + | 17.6400i | −0.715380 | + | 0.793659i | ||||
\(495\) | 1.34074 | + | 3.41614i | 0.0602617 | + | 0.153544i | ||||
\(496\) | 6.57230 | + | 10.0029i | 0.295105 | + | 0.449142i | ||||
\(497\) | −21.4733 | + | 8.73741i | −0.963208 | + | 0.391927i | ||||
\(498\) | −16.3220 | + | 1.46025i | −0.731407 | + | 0.0654353i | ||||
\(499\) | 3.38145 | − | 10.9624i | 0.151375 | − | 0.490744i | −0.847845 | − | 0.530244i | \(-0.822100\pi\) |
0.999220 | + | 0.0394998i | \(0.0125764\pi\) | |||||||
\(500\) | 8.33127 | − | 18.6588i | 0.372586 | − | 0.834448i | ||||
\(501\) | 7.16894 | + | 23.2411i | 0.320285 | + | 1.03834i | ||||
\(502\) | 20.9314 | + | 25.4840i | 0.934213 | + | 1.13741i | ||||
\(503\) | −4.66031 | + | 20.4182i | −0.207793 | + | 0.910401i | 0.758239 | + | 0.651977i | \(0.226060\pi\) |
−0.966032 | + | 0.258424i | \(0.916797\pi\) | |||||||
\(504\) | −3.22475 | − | 4.92932i | −0.143642 | − | 0.219569i | ||||
\(505\) | 3.77734 | + | 16.5496i | 0.168089 | + | 0.736447i | ||||
\(506\) | 14.9477 | − | 19.3088i | 0.664505 | − | 0.858381i | ||||
\(507\) | 10.7131 | − | 15.7132i | 0.475784 | − | 0.697847i | ||||
\(508\) | −28.6314 | + | 14.8206i | −1.27031 | + | 0.657556i | ||||
\(509\) | −9.79074 | − | 5.65269i | −0.433967 | − | 0.250551i | 0.267068 | − | 0.963678i | \(-0.413945\pi\) |
−0.701035 | + | 0.713127i | \(0.747278\pi\) | |||||||
\(510\) | −7.84852 | − | 2.95037i | −0.347538 | − | 0.130644i | ||||
\(511\) | −0.0703159 | − | 5.65263i | −0.00311059 | − | 0.250058i | ||||
\(512\) | −2.92987 | − | 22.4369i | −0.129483 | − | 0.991582i | ||||
\(513\) | 12.5207 | − | 8.53645i | 0.552801 | − | 0.376893i | ||||
\(514\) | −23.1092 | − | 1.39685i | −1.01930 | − | 0.0616126i | ||||
\(515\) | 13.6801 | + | 14.7436i | 0.602816 | + | 0.649681i | ||||
\(516\) | 16.2993 | + | 26.4391i | 0.717539 | + | 1.16392i | ||||
\(517\) | 18.9034 | − | 39.2532i | 0.831369 | − | 1.72635i | ||||
\(518\) | 4.38712 | + | 4.48053i | 0.192759 | + | 0.196863i | ||||
\(519\) | −7.40097 | + | 3.56412i | −0.324867 | + | 0.156447i | ||||
\(520\) | −3.07992 | − | 15.7694i | −0.135064 | − | 0.691534i | ||||
\(521\) | 0.619679 | + | 1.07332i | 0.0271486 | + | 0.0470228i | 0.879281 | − | 0.476304i | \(-0.158024\pi\) |
−0.852132 | + | 0.523327i | \(0.824691\pi\) | |||||||
\(522\) | −5.08256 | + | 0.841237i | −0.222458 | + | 0.0368199i | ||||
\(523\) | −2.80848 | − | 18.6331i | −0.122806 | − | 0.814768i | −0.962416 | − | 0.271578i | \(-0.912455\pi\) |
0.839610 | − | 0.543190i | \(-0.182784\pi\) | |||||||
\(524\) | −3.36402 | − | 18.6503i | −0.146958 | − | 0.814741i | ||||
\(525\) | 18.2745 | + | 2.52239i | 0.797565 | + | 0.110086i | ||||
\(526\) | −35.6371 | + | 21.2664i | −1.55385 | + | 0.927261i | ||||
\(527\) | −0.572284 | + | 7.63659i | −0.0249291 | + | 0.332655i | ||||
\(528\) | −29.8342 | + | 6.27506i | −1.29836 | + | 0.273087i | ||||
\(529\) | −1.30200 | + | 3.31744i | −0.0566087 | + | 0.144237i | ||||
\(530\) | −0.390414 | − | 0.781651i | −0.0169585 | − | 0.0339527i | ||||
\(531\) | 6.16713 | + | 4.91812i | 0.267630 | + | 0.213428i | ||||
\(532\) | −17.5515 | + | 6.21836i | −0.760955 | + | 0.269600i | ||||
\(533\) | −8.76237 | + | 6.98776i | −0.379540 | + | 0.302673i | ||||
\(534\) | −20.3826 | − | 9.45597i | −0.882044 | − | 0.409200i | ||||
\(535\) | 0.823892 | + | 10.9941i | 0.0356200 | + | 0.475316i | ||||
\(536\) | 16.8189 | + | 26.4208i | 0.726465 | + | 1.14120i | ||||
\(537\) | −30.8443 | − | 28.6194i | −1.33103 | − | 1.23502i | ||||
\(538\) | 9.13881 | − | 8.72829i | 0.394002 | − | 0.376303i | ||||
\(539\) | −25.2633 | + | 10.6477i | −1.08817 | + | 0.458630i | ||||
\(540\) | −0.470888 | + | 10.2418i | −0.0202638 | + | 0.440736i | ||||
\(541\) | 8.72411 | − | 9.40235i | 0.375079 | − | 0.404239i | −0.517097 | − | 0.855927i | \(-0.672987\pi\) |
0.892176 | + | 0.451688i | \(0.149178\pi\) | |||||||
\(542\) | 8.63038 | + | 12.2742i | 0.370707 | + | 0.527221i | ||||
\(543\) | 0.224692 | + | 2.99830i | 0.00964245 | + | 0.128670i | ||||
\(544\) | 7.27220 | − | 12.5187i | 0.311793 | − | 0.536737i | ||||
\(545\) | −4.59271 | − | 5.75908i | −0.196730 | − | 0.246692i | ||||
\(546\) | 30.8902 | − | 15.9120i | 1.32198 | − | 0.680969i | ||||
\(547\) | −11.3057 | − | 9.01597i | −0.483395 | − | 0.385495i | 0.351251 | − | 0.936281i | \(-0.385756\pi\) |
−0.834646 | + | 0.550786i | \(0.814328\pi\) | |||||||
\(548\) | 10.2903 | − | 28.6212i | 0.439582 | − | 1.22264i | ||||
\(549\) | 2.74913 | + | 1.07895i | 0.117330 | + | 0.0460486i | ||||
\(550\) | 9.67355 | − | 17.3277i | 0.412481 | − | 0.738855i | ||||
\(551\) | −1.21700 | + | 16.2398i | −0.0518461 | + | 0.691838i | ||||
\(552\) | −21.3873 | + | 11.4650i | −0.910303 | + | 0.487981i | ||||
\(553\) | −10.3879 | − | 32.2470i | −0.441738 | − | 1.37128i | ||||
\(554\) | −5.81910 | − | 3.84561i | −0.247230 | − | 0.163384i | ||||
\(555\) | 0.578647 | + | 3.83907i | 0.0245622 | + | 0.162960i | ||||
\(556\) | −9.55439 | − | 7.17838i | −0.405196 | − | 0.304431i | ||||
\(557\) | −8.60876 | + | 4.97027i | −0.364765 | + | 0.210597i | −0.671169 | − | 0.741304i | \(-0.734208\pi\) |
0.306404 | + | 0.951902i | \(0.400874\pi\) | |||||||
\(558\) | −3.23634 | + | 0.787963i | −0.137005 | + | 0.0333571i | ||||
\(559\) | −34.3102 | + | 16.5229i | −1.45117 | + | 0.698846i | ||||
\(560\) | 3.76929 | − | 12.0210i | 0.159282 | − | 0.507978i | ||||
\(561\) | −17.5747 | − | 8.46353i | −0.742005 | − | 0.357331i | ||||
\(562\) | 31.1731 | + | 6.64340i | 1.31496 | + | 0.280235i | ||||
\(563\) | −8.01839 | − | 8.64177i | −0.337935 | − | 0.364207i | 0.541105 | − | 0.840955i | \(-0.318006\pi\) |
−0.879040 | + | 0.476748i | \(0.841816\pi\) | |||||||
\(564\) | −33.0577 | + | 27.9603i | −1.39198 | + | 1.17734i | ||||
\(565\) | −10.5262 | − | 15.4391i | −0.442841 | − | 0.649529i | ||||
\(566\) | −16.6028 | + | 5.38482i | −0.697869 | + | 0.226341i | ||||
\(567\) | −27.6269 | + | 6.66825i | −1.16022 | + | 0.280040i | ||||
\(568\) | 9.77692 | − | 22.7735i | 0.410231 | − | 0.955556i | ||||
\(569\) | 12.4182 | − | 21.5089i | 0.520597 | − | 0.901701i | −0.479116 | − | 0.877752i | \(-0.659043\pi\) |
0.999713 | − | 0.0239491i | \(-0.00762398\pi\) | |||||||
\(570\) | −11.0643 | − | 3.23884i | −0.463434 | − | 0.135660i | ||||
\(571\) | −24.4496 | + | 35.8609i | −1.02318 | + | 1.50073i | −0.165728 | + | 0.986172i | \(0.552997\pi\) |
−0.857454 | + | 0.514561i | \(0.827955\pi\) | |||||||
\(572\) | −3.86763 | − | 37.1788i | −0.161714 | − | 1.55452i | ||||
\(573\) | −10.5825 | + | 2.41539i | −0.442092 | + | 0.100905i | ||||
\(574\) | −8.65108 | + | 1.54267i | −0.361089 | + | 0.0643897i | ||||
\(575\) | 3.51492 | − | 15.3999i | 0.146582 | − | 0.642220i | ||||
\(576\) | 6.15531 | + | 1.32892i | 0.256471 | + | 0.0553716i | ||||
\(577\) | −40.1603 | + | 12.3878i | −1.67189 | + | 0.515711i | −0.978744 | − | 0.205084i | \(-0.934253\pi\) |
−0.693149 | + | 0.720795i | \(0.743777\pi\) | |||||||
\(578\) | −13.6775 | + | 5.59705i | −0.568908 | + | 0.232807i | ||||
\(579\) | 6.19193 | − | 20.0737i | 0.257328 | − | 0.834236i | ||||
\(580\) | −8.28972 | − | 7.25809i | −0.344212 | − | 0.301376i | ||||
\(581\) | 7.70655 | − | 13.7401i | 0.319722 | − | 0.570033i | ||||
\(582\) | −33.6698 | − | 4.57914i | −1.39566 | − | 0.189812i | ||||
\(583\) | −0.742614 | − | 1.89215i | −0.0307559 | − | 0.0783649i | ||||
\(584\) | 4.29838 | + | 4.24811i | 0.177868 | + | 0.175788i | ||||
\(585\) | 4.42155 | + | 0.666441i | 0.182808 | + | 0.0275539i | ||||
\(586\) | 29.4839 | − | 0.425409i | 1.21797 | − | 0.0175735i | ||||
\(587\) | 20.5741i | 0.849186i | 0.905384 | + | 0.424593i | \(0.139583\pi\) | ||||
−0.905384 | + | 0.424593i | \(0.860417\pi\) | |||||||
\(588\) | 27.2388 | + | 0.573927i | 1.12331 | + | 0.0236683i | ||||
\(589\) | 10.5294i | 0.433857i | ||||||||
\(590\) | 0.243390 | + | 16.8687i | 0.0100202 | + | 0.694473i | ||||
\(591\) | −4.07636 | − | 0.614412i | −0.167679 | − | 0.0252735i | ||||
\(592\) | −6.70271 | − | 0.114559i | −0.275480 | − | 0.00470835i | ||||
\(593\) | −4.78755 | − | 12.1985i | −0.196601 | − | 0.500931i | 0.798245 | − | 0.602334i | \(-0.205762\pi\) |
−0.994845 | + | 0.101402i | \(0.967667\pi\) | |||||||
\(594\) | −3.21430 | + | 23.6343i | −0.131884 | + | 0.969727i | ||||
\(595\) | 6.60300 | − | 4.62319i | 0.270696 | − | 0.189532i | ||||
\(596\) | 24.5261 | − | 28.0121i | 1.00463 | − | 1.14742i | ||||
\(597\) | −7.27377 | + | 23.5810i | −0.297695 | + | 0.965105i | ||||
\(598\) | −11.2683 | − | 27.5362i | −0.460795 | − | 1.12604i | ||||
\(599\) | −24.7697 | + | 7.64044i | −1.01206 | + | 0.312180i | −0.756065 | − | 0.654497i | \(-0.772880\pi\) |
−0.255998 | + | 0.966677i | \(0.582404\pi\) | |||||||
\(600\) | −15.7987 | + | 11.8042i | −0.644980 | + | 0.481903i | ||||
\(601\) | −4.03976 | + | 17.6993i | −0.164785 | + | 0.721971i | 0.823242 | + | 0.567691i | \(0.192163\pi\) |
−0.988027 | + | 0.154281i | \(0.950694\pi\) | |||||||
\(602\) | −29.8246 | − | 1.43069i | −1.21556 | − | 0.0583106i | ||||
\(603\) | −8.49768 | + | 1.93954i | −0.346052 | + | 0.0789841i | ||||
\(604\) | 1.13947 | + | 10.9535i | 0.0463644 | + | 0.445693i | ||||
\(605\) | −2.90962 | + | 4.26762i | −0.118293 | + | 0.173504i | ||||
\(606\) | 11.0256 | − | 37.6650i | 0.447884 | − | 1.53004i | ||||
\(607\) | 7.64552 | − | 13.2424i | 0.310322 | − | 0.537494i | −0.668110 | − | 0.744063i | \(-0.732896\pi\) |
0.978432 | + | 0.206569i | \(0.0662298\pi\) | |||||||
\(608\) | 8.68468 | − | 17.9118i | 0.352210 | − | 0.726419i | ||||
\(609\) | 10.0708 | − | 21.5953i | 0.408088 | − | 0.875084i | ||||
\(610\) | 1.94864 | + | 6.00817i | 0.0788980 | + | 0.243264i | ||||
\(611\) | −29.9039 | − | 43.8609i | −1.20978 | − | 1.77442i | ||||
\(612\) | 2.60194 | + | 3.07629i | 0.105177 | + | 0.124351i | ||||
\(613\) | −4.18470 | − | 4.51003i | −0.169018 | − | 0.182158i | 0.642863 | − | 0.765982i | \(-0.277747\pi\) |
−0.811881 | + | 0.583823i | \(0.801556\pi\) | |||||||
\(614\) | 3.08192 | − | 14.4614i | 0.124376 | − | 0.583615i | ||||
\(615\) | −4.90189 | − | 2.36063i | −0.197663 | − | 0.0951897i | ||||
\(616\) | 11.2261 | − | 27.0732i | 0.452312 | − | 1.09081i | ||||
\(617\) | 15.9282 | − | 7.67060i | 0.641244 | − | 0.308807i | −0.0848590 | − | 0.996393i | \(-0.527044\pi\) |
0.726103 | + | 0.687586i | \(0.241330\pi\) | |||||||
\(618\) | −11.0000 | − | 45.1794i | −0.442484 | − | 1.81738i | ||||
\(619\) | 27.4551 | − | 15.8512i | 1.10351 | − | 0.637113i | 0.166371 | − | 0.986063i | \(-0.446795\pi\) |
0.937141 | + | 0.348950i | \(0.113462\pi\) | |||||||
\(620\) | −5.69549 | − | 4.27912i | −0.228736 | − | 0.171854i | ||||
\(621\) | 2.82960 | + | 18.7731i | 0.113548 | + | 0.753341i | ||||
\(622\) | −2.45378 | + | 3.71302i | −0.0983876 | + | 0.148878i | ||||
\(623\) | 18.5709 | − | 11.0322i | 0.744029 | − | 0.441995i | ||||
\(624\) | −11.5542 | + | 35.3041i | −0.462538 | + | 1.41330i | ||||
\(625\) | 0.429857 | − | 5.73605i | 0.0171943 | − | 0.229442i | ||||
\(626\) | −8.10467 | − | 4.52460i | −0.323928 | − | 0.180839i | ||||
\(627\) | −24.9665 | − | 9.79862i | −0.997065 | − | 0.391319i | ||||
\(628\) | −12.5027 | − | 4.49517i | −0.498913 | − | 0.179377i | ||||
\(629\) | −3.35345 | − | 2.67429i | −0.133711 | − | 0.106631i | ||||
\(630\) | 2.79883 | + | 2.11153i | 0.111508 | + | 0.0841253i | ||||
\(631\) | −18.3421 | − | 23.0003i | −0.730189 | − | 0.915628i | 0.268677 | − | 0.963230i | \(-0.413413\pi\) |
−0.998866 | + | 0.0476022i | \(0.984842\pi\) | |||||||
\(632\) | 32.1199 | + | 16.7349i | 1.27766 | + | 0.665679i | ||||
\(633\) | 3.23525 | + | 43.1714i | 0.128590 | + | 1.71591i | ||||
\(634\) | 17.3721 | − | 12.2149i | 0.689932 | − | 0.485115i | ||||
\(635\) | 13.0520 | − | 14.0667i | 0.517952 | − | 0.558220i | ||||
\(636\) | −0.0927761 | + | 2.01787i | −0.00367881 | + | 0.0800139i | ||||
\(637\) | −4.15546 | + | 33.1449i | −0.164645 | + | 1.31325i | ||||
\(638\) | −17.7040 | − | 18.5367i | −0.700909 | − | 0.733875i | ||||
\(639\) | 5.05598 | + | 4.69126i | 0.200011 | + | 0.185583i | ||||
\(640\) | 6.15928 | + | 11.9769i | 0.243467 | + | 0.473430i | ||||
\(641\) | −1.91825 | − | 25.5972i | −0.0757662 | − | 1.01103i | −0.897459 | − | 0.441099i | \(-0.854589\pi\) |
0.821692 | − | 0.569931i | \(-0.193030\pi\) | |||||||
\(642\) | 10.7268 | − | 23.1219i | 0.423351 | − | 0.912548i | ||||
\(643\) | −33.2819 | + | 26.5415i | −1.31251 | + | 1.04669i | −0.317363 | + | 0.948304i | \(0.602797\pi\) |
−0.995148 | + | 0.0983889i | \(0.968631\pi\) | |||||||
\(644\) | 2.52166 | − | 23.1917i | 0.0993674 | − | 0.913881i | ||||
\(645\) | −14.4535 | − | 11.5263i | −0.569105 | − | 0.453846i | ||||
\(646\) | 11.3943 | − | 5.69117i | 0.448304 | − | 0.223916i | ||||
\(647\) | −3.61345 | + | 9.20692i | −0.142059 | + | 0.361961i | −0.984141 | − | 0.177389i | \(-0.943235\pi\) |
0.842081 | + | 0.539350i | \(0.181330\pi\) | |||||||
\(648\) | 16.0128 | − | 25.8202i | 0.629044 | − | 1.01431i | ||||
\(649\) | −2.93299 | + | 39.1380i | −0.115130 | + | 1.53630i | ||||
\(650\) | −12.3909 | − | 20.7640i | −0.486012 | − | 0.814432i | ||||
\(651\) | 5.44970 | − | 14.4101i | 0.213591 | − | 0.564778i | ||||
\(652\) | −2.97180 | − | 16.4758i | −0.116385 | − | 0.645243i | ||||
\(653\) | 1.71934 | + | 11.4071i | 0.0672831 | + | 0.446394i | 0.996953 | + | 0.0780011i | \(0.0248538\pi\) |
−0.929670 | + | 0.368393i | \(0.879908\pi\) | |||||||
\(654\) | 2.78088 | + | 16.8015i | 0.108741 | + | 0.656990i | ||||
\(655\) | 5.63991 | + | 9.76861i | 0.220369 | + | 0.381691i | ||||
\(656\) | 5.42386 | − | 7.67035i | 0.211766 | − | 0.299477i | ||||
\(657\) | −1.51530 | + | 0.729729i | −0.0591174 | + | 0.0284694i | ||||
\(658\) | −4.22435 | − | 41.4079i | −0.164682 | − | 1.61425i | ||||
\(659\) | −11.7610 | + | 24.4219i | −0.458142 | + | 0.951342i | 0.536097 | + | 0.844156i | \(0.319898\pi\) |
−0.994239 | + | 0.107185i | \(0.965816\pi\) | |||||||
\(660\) | 15.4465 | − | 9.52256i | 0.601254 | − | 0.370665i | ||||
\(661\) | 11.0680 | + | 11.9284i | 0.430493 | + | 0.463962i | 0.910624 | − | 0.413235i | \(-0.135601\pi\) |
−0.480131 | + | 0.877197i | \(0.659411\pi\) | |||||||
\(662\) | −1.39279 | + | 23.0419i | −0.0541321 | + | 0.895549i | ||||
\(663\) | −19.6377 | + | 13.3888i | −0.762665 | + | 0.519976i | ||||
\(664\) | 4.45451 | + | 16.2417i | 0.172868 | + | 0.630299i | ||||
\(665\) | 8.57839 | − | 7.01736i | 0.332656 | − | 0.272122i | ||||
\(666\) | 0.656460 | − | 1.74630i | 0.0254373 | − | 0.0676679i | ||||
\(667\) | −17.6693 | − | 10.2014i | −0.684159 | − | 0.394999i | ||||
\(668\) | 22.1982 | − | 11.4905i | 0.858875 | − | 0.444581i | ||||
\(669\) | −11.7276 | + | 17.2012i | −0.453413 | + | 0.665035i | ||||
\(670\) | −14.7408 | − | 11.4114i | −0.569486 | − | 0.440861i | ||||
\(671\) | 3.26979 | + | 14.3259i | 0.126229 | + | 0.553045i | ||||
\(672\) | −21.1561 | + | 20.0185i | −0.816115 | + | 0.772228i | ||||
\(673\) | −5.01767 | + | 21.9839i | −0.193417 | + | 0.847415i | 0.781333 | + | 0.624115i | \(0.214540\pi\) |
−0.974750 | + | 0.223300i | \(0.928317\pi\) | |||||||
\(674\) | 33.7062 | − | 27.6847i | 1.29832 | − | 1.06638i | ||||
\(675\) | 4.54789 | + | 14.7439i | 0.175048 | + | 0.567493i | ||||
\(676\) | −17.8467 | − | 7.96863i | −0.686410 | − | 0.306486i | ||||
\(677\) | −2.79167 | + | 9.05038i | −0.107293 | + | 0.347834i | −0.993259 | − | 0.115915i | \(-0.963020\pi\) |
0.885966 | + | 0.463749i | \(0.153496\pi\) | |||||||
\(678\) | 3.84959 | + | 43.0291i | 0.147843 | + | 1.65252i | ||||
\(679\) | 21.9191 | − | 24.2205i | 0.841177 | − | 0.929498i | ||||
\(680\) | −1.55219 | + | 8.47621i | −0.0595239 | + | 0.325048i | ||||
\(681\) | 8.84115 | + | 22.5269i | 0.338794 | + | 0.863232i | ||||
\(682\) | −12.3103 | − | 11.0961i | −0.471387 | − | 0.424893i | ||||
\(683\) | 4.09222 | − | 27.1501i | 0.156584 | − | 1.03887i | −0.763119 | − | 0.646257i | \(-0.776333\pi\) |
0.919704 | − | 0.392613i | \(-0.128429\pi\) | |||||||
\(684\) | 3.88363 | + | 3.95057i | 0.148494 | + | 0.151054i | ||||
\(685\) | 18.1030i | 0.691681i | ||||||||
\(686\) | −15.2492 | + | 21.2946i | −0.582218 | + | 0.813033i | ||||
\(687\) | 51.4601 | 1.96332 | ||||||||
\(688\) | 23.7670 | − | 21.3084i | 0.906107 | − | 0.812374i | ||||
\(689\) | −2.44903 | − | 0.369132i | −0.0933005 | − | 0.0140628i | ||||
\(690\) | 9.67027 | − | 10.7284i | 0.368141 | − | 0.408424i | ||||
\(691\) | 33.1855 | − | 13.0244i | 1.26244 | − | 0.495470i | 0.362701 | − | 0.931906i | \(-0.381855\pi\) |
0.899735 | + | 0.436436i | \(0.143759\pi\) | |||||||
\(692\) | 4.95490 | + | 6.83512i | 0.188357 | + | 0.259832i | ||||
\(693\) | 6.04763 | + | 5.47298i | 0.229730 | + | 0.207901i | ||||
\(694\) | 1.91889 | + | 21.4485i | 0.0728400 | + | 0.814174i | ||||
\(695\) | 6.79698 | + | 2.09659i | 0.257824 | + | 0.0795282i | ||||
\(696\) | 8.55458 | + | 23.9939i | 0.324260 | + | 0.909485i | ||||
\(697\) | 5.74370 | − | 1.77170i | 0.217558 | − | 0.0671078i | ||||
\(698\) | 1.57670 | + | 1.91964i | 0.0596790 | + | 0.0726594i | ||||
\(699\) | 38.1757 | + | 8.71335i | 1.44394 | + | 0.329569i | ||||
\(700\) | −0.782673 | − | 18.9430i | −0.0295823 | − | 0.715977i | ||||
\(701\) | −13.6543 | + | 3.11651i | −0.515717 | + | 0.117709i | −0.472455 | − | 0.881355i | \(-0.656632\pi\) |
−0.0432620 | + | 0.999064i | \(0.513775\pi\) | |||||||
\(702\) | 22.9808 | + | 17.7903i | 0.867356 | + | 0.671452i | ||||
\(703\) | −4.87273 | − | 3.32217i | −0.183778 | − | 0.125298i | ||||
\(704\) | 11.7892 | + | 29.0294i | 0.444322 | + | 1.09409i | ||||
\(705\) | 12.8851 | − | 22.3176i | 0.485281 | − | 0.840531i | ||||
\(706\) | −28.0755 | − | 10.5540i | −1.05664 | − | 0.397204i | ||||
\(707\) | 23.8884 | + | 29.2024i | 0.898416 | + | 1.09827i | ||||
\(708\) | 18.5191 | − | 34.3265i | 0.695989 | − | 1.29007i | ||||
\(709\) | −7.35062 | − | 10.7814i | −0.276058 | − | 0.404903i | 0.663023 | − | 0.748599i | \(-0.269273\pi\) |
−0.939081 | + | 0.343696i | \(0.888321\pi\) | |||||||
\(710\) | −0.890022 | + | 14.7243i | −0.0334019 | + | 0.552594i | ||||
\(711\) | −7.38869 | + | 6.85571i | −0.277098 | + | 0.257109i | ||||
\(712\) | −5.84535 | + | 22.3400i | −0.219064 | + | 0.837227i | ||||
\(713\) | −11.8852 | − | 5.72361i | −0.445104 | − | 0.214351i | ||||
\(714\) | −18.5394 | + | 1.89135i | −0.693820 | + | 0.0707821i | ||||
\(715\) | 9.65318 | + | 20.0450i | 0.361009 | + | 0.749642i | ||||
\(716\) | −23.3186 | + | 36.4169i | −0.871458 | + | 1.36096i | ||||
\(717\) | −25.0631 | + | 14.4702i | −0.935999 | + | 0.540399i | ||||
\(718\) | 2.22938 | + | 13.4694i | 0.0831996 | + | 0.502674i | ||||
\(719\) | −4.92536 | + | 0.742378i | −0.183685 | + | 0.0276860i | −0.240240 | − | 0.970713i | \(-0.577226\pi\) |
0.0565556 | + | 0.998399i | \(0.481988\pi\) | |||||||
\(720\) | −3.71521 | + | 0.495204i | −0.138458 | + | 0.0184552i | ||||
\(721\) | 41.8115 | + | 15.8125i | 1.55714 | + | 0.588888i | ||||
\(722\) | −8.03581 | + | 4.79537i | −0.299062 | + | 0.178465i | ||||
\(723\) | 49.1922 | + | 3.68645i | 1.82948 | + | 0.137100i | ||||
\(724\) | 2.99149 | − | 0.774231i | 0.111178 | − | 0.0287741i | ||||
\(725\) | −15.4353 | − | 6.05789i | −0.573251 | − | 0.224984i | ||||
\(726\) | 10.6830 | − | 5.33588i | 0.396483 | − | 0.198033i | ||||
\(727\) | −2.00713 | + | 2.51686i | −0.0744402 | + | 0.0933451i | −0.817657 | − | 0.575705i | \(-0.804728\pi\) |
0.743217 | + | 0.669050i | \(0.233299\pi\) | |||||||
\(728\) | −21.7286 | − | 28.3395i | −0.805315 | − | 1.05033i | ||||
\(729\) | −10.4035 | − | 13.0455i | −0.385314 | − | 0.483168i | ||||
\(730\) | −3.26300 | − | 1.51378i | −0.120769 | − | 0.0560274i | ||||
\(731\) | 20.3666 | − | 1.52626i | 0.753284 | − | 0.0564508i | ||||
\(732\) | 2.83734 | − | 14.3245i | 0.104871 | − | 0.529450i | ||||
\(733\) | −18.9353 | + | 20.4073i | −0.699390 | + | 0.753763i | −0.978444 | − | 0.206513i | \(-0.933789\pi\) |
0.279054 | + | 0.960275i | \(0.409979\pi\) | |||||||
\(734\) | −37.2473 | − | 38.9992i | −1.37482 | − | 1.43949i | ||||
\(735\) | −15.3720 | + | 5.16378i | −0.567006 | + | 0.190469i | ||||
\(736\) | 15.4973 | + | 19.5395i | 0.571238 | + | 0.720235i | ||||
\(737\) | −31.7912 | − | 29.4980i | −1.17105 | − | 1.08657i | ||||
\(738\) | 1.50375 | + | 2.13864i | 0.0553539 | + | 0.0787246i | ||||
\(739\) | 16.5059 | − | 1.23695i | 0.607180 | − | 0.0455019i | 0.232407 | − | 0.972619i | \(-0.425340\pi\) |
0.374773 | + | 0.927117i | \(0.377721\pi\) | |||||||
\(740\) | 3.77727 | − | 1.28560i | 0.138855 | − | 0.0472596i | ||||
\(741\) | −25.5497 | + | 20.3752i | −0.938593 | + | 0.748503i | ||||
\(742\) | −1.55023 | − | 1.16954i | −0.0569107 | − | 0.0429353i | ||||
\(743\) | 15.6751 | − | 19.6560i | 0.575064 | − | 0.721107i | −0.406198 | − | 0.913785i | \(-0.633146\pi\) |
0.981262 | + | 0.192678i | \(0.0617173\pi\) | |||||||
\(744\) | 6.67488 | + | 15.0567i | 0.244713 | + | 0.552006i | ||||
\(745\) | −8.09612 | + | 20.6286i | −0.296619 | + | 0.755773i | ||||
\(746\) | 13.8327 | − | 24.7778i | 0.506452 | − | 0.907179i | ||||
\(747\) | −4.67381 | − | 0.350254i | −0.171006 | − | 0.0128151i | ||||
\(748\) | −5.35386 | + | 19.3190i | −0.195756 | + | 0.706373i | ||||
\(749\) | 12.5148 | + | 21.0667i | 0.457281 | + | 0.769760i | ||||
\(750\) | 15.5032 | − | 23.4592i | 0.566097 | − | 0.856608i | ||||
\(751\) | −2.16209 | + | 0.325883i | −0.0788958 | + | 0.0118916i | −0.188372 | − | 0.982098i | \(-0.560321\pi\) |
0.109476 | + | 0.993989i | \(0.465083\pi\) | |||||||
\(752\) | 34.3097 | + | 28.3337i | 1.25115 | + | 1.03322i | ||||
\(753\) | 22.6901 | + | 39.3004i | 0.826874 | + | 1.43219i | ||||
\(754\) | −30.3458 | + | 7.38840i | −1.10513 | + | 0.269070i | ||||
\(755\) | −2.84400 | − | 5.90562i | −0.103504 | − | 0.214928i | ||||
\(756\) | 9.19362 | + | 20.8501i | 0.334369 | + | 0.758312i | ||||
\(757\) | 12.5969 | − | 26.1578i | 0.457843 | − | 0.950721i | −0.536439 | − | 0.843939i | \(-0.680231\pi\) |
0.994282 | − | 0.106782i | \(-0.0340548\pi\) | |||||||
\(758\) | −0.836611 | + | 3.92566i | −0.0303871 | + | 0.142587i | ||||
\(759\) | 24.6317 | − | 22.8549i | 0.894074 | − | 0.829579i | ||||
\(760\) | −1.25729 | + | 11.7813i | −0.0456069 | + | 0.427352i | ||||
\(761\) | 14.2774 | − | 9.73415i | 0.517555 | − | 0.352863i | −0.276201 | − | 0.961100i | \(-0.589075\pi\) |
0.793755 | + | 0.608237i | \(0.208123\pi\) | |||||||
\(762\) | −42.2003 | + | 13.6869i | −1.52875 | + | 0.495823i | ||||
\(763\) | −14.8376 | − | 6.91940i | −0.537158 | − | 0.250499i | ||||
\(764\) | 4.37349 | + | 10.2625i | 0.158227 | + | 0.371285i | ||||
\(765\) | −2.07684 | − | 1.19906i | −0.0750882 | − | 0.0433522i | ||||
\(766\) | 9.63107 | − | 32.9011i | 0.347985 | − | 1.18877i | ||||
\(767\) | 39.5118 | + | 26.9387i | 1.42669 | + | 0.972700i | ||||
\(768\) | 1.06404 | − | 31.1187i | 0.0383952 | − | 1.12290i | ||||
\(769\) | −5.33196 | − | 23.3608i | −0.192275 | − | 0.842413i | −0.975381 | − | 0.220525i | \(-0.929223\pi\) |
0.783106 | − | 0.621888i | \(-0.213634\pi\) | |||||||
\(770\) | −0.835851 | + | 17.4244i | −0.0301220 | + | 0.627931i | ||||
\(771\) | −31.0592 | − | 7.08906i | −1.11857 | − | 0.255306i | ||||
\(772\) | −21.4321 | − | 2.60046i | −0.771359 | − | 0.0935927i | ||||
\(773\) | 1.23922 | + | 4.01745i | 0.0445717 | + | 0.144498i | 0.975123 | − | 0.221663i | \(-0.0711484\pi\) |
−0.930552 | + | 0.366160i | \(0.880672\pi\) | |||||||
\(774\) | 3.36442 | + | 8.22160i | 0.120931 | + | 0.295519i | ||||
\(775\) | −10.2446 | − | 3.16003i | −0.367996 | − | 0.113512i | ||||
\(776\) | 1.51102 | + | 34.8889i | 0.0542426 | + | 1.25244i | ||||
\(777\) | 4.94918 | + | 7.06857i | 0.177551 | + | 0.253584i | ||||
\(778\) | 10.8833 | + | 1.48015i | 0.390186 | + | 0.0530659i | ||||
\(779\) | 7.69320 | − | 3.01936i | 0.275638 | − | 0.108180i | ||||
\(780\) | −0.637890 | − | 22.1006i | −0.0228401 | − | 0.791329i | ||||
\(781\) | −5.11476 | + | 33.9342i | −0.183020 | + | 1.21426i | ||||
\(782\) | 0.230209 | + | 15.9551i | 0.00823224 | + | 0.570554i | ||||
\(783\) | 19.9293 | 0.712217 | ||||||||
\(784\) | −4.38868 | − | 27.6539i | −0.156739 | − | 0.987640i | ||||
\(785\) | 7.90801 | 0.282249 | ||||||||
\(786\) | −0.376231 | − | 26.0755i | −0.0134197 | − | 0.930083i | ||||
\(787\) | −0.521234 | + | 3.45816i | −0.0185800 | + | 0.123270i | −0.996198 | − | 0.0871174i | \(-0.972234\pi\) |
0.977618 | + | 0.210387i | \(0.0674726\pi\) | |||||||
\(788\) | 0.122232 | + | 4.23491i | 0.00435434 | + | 0.150862i | ||||
\(789\) | −53.1596 | + | 20.8636i | −1.89253 | + | 0.742764i | ||||
\(790\) | −21.3604 | − | 2.90505i | −0.759970 | − | 0.103357i | ||||
\(791\) | −36.2223 | − | 20.3165i | −1.28792 | − | 0.722371i | ||||
\(792\) | −8.71142 | + | 0.377288i | −0.309547 | + | 0.0134063i | ||||
\(793\) | 17.1088 | + | 5.27737i | 0.607552 | + | 0.187405i | ||||
\(794\) | −6.17404 | − | 15.0875i | −0.219108 | − | 0.535434i | ||||
\(795\) | −0.354388 | − | 1.14890i | −0.0125688 | − | 0.0407472i | ||||
\(796\) | 25.1767 | + | 3.05481i | 0.892364 | + | 0.108275i | ||||
\(797\) | 36.0768 | + | 8.23430i | 1.27791 | + | 0.291674i | 0.807023 | − | 0.590521i | \(-0.201078\pi\) |
0.470885 | + | 0.882195i | \(0.343935\pi\) | |||||||
\(798\) | −25.2252 | + | 4.49818i | −0.892963 | + | 0.159234i | ||||
\(799\) | 6.33524 | + | 27.7565i | 0.224125 | + | 0.981954i | ||||
\(800\) | 14.8209 | + | 13.8254i | 0.523996 | + | 0.488800i | ||||
\(801\) | −5.30978 | − | 3.62015i | −0.187612 | − | 0.127912i | ||||
\(802\) | 13.0703 | − | 44.6499i | 0.461527 | − | 1.57664i | ||||
\(803\) | −7.24709 | − | 4.18411i | −0.255744 | − | 0.147654i | ||||
\(804\) | 16.8965 | + | 39.6481i | 0.595894 | + | 1.39828i | ||||
\(805\) | 3.25787 | + | 13.4975i | 0.114825 | + | 0.475724i | ||||
\(806\) | −19.2085 | + | 6.22990i | −0.676589 | + | 0.219439i | ||||
\(807\) | 14.3681 | − | 9.79602i | 0.505782 | − | 0.344836i | ||||
\(808\) | −40.1057 | − | 4.28006i | −1.41091 | − | 0.150572i | ||||
\(809\) | −20.4036 | + | 18.9317i | −0.717351 | + | 0.665605i | −0.951868 | − | 0.306507i | \(-0.900840\pi\) |
0.234517 | + | 0.972112i | \(0.424649\pi\) | |||||||
\(810\) | −3.76924 | + | 17.6865i | −0.132437 | + | 0.621442i | ||||
\(811\) | 10.3318 | − | 21.4541i | 0.362798 | − | 0.753357i | −0.637050 | − | 0.770823i | \(-0.719846\pi\) |
0.999847 | + | 0.0174657i | \(0.00555979\pi\) | |||||||
\(812\) | −23.6786 | − | 6.24594i | −0.830956 | − | 0.219190i | ||||
\(813\) | 8.95858 | + | 18.6027i | 0.314191 | + | 0.652425i | ||||
\(814\) | 9.01907 | − | 2.19591i | 0.316118 | − | 0.0769665i | ||||
\(815\) | 4.98235 | + | 8.62968i | 0.174524 | + | 0.302285i | ||||
\(816\) | 12.6857 | − | 15.3614i | 0.444090 | − | 0.537756i | ||||
\(817\) | 27.7679 | − | 4.18534i | 0.971477 | − | 0.146427i | ||||
\(818\) | −0.184921 | + | 0.279819i | −0.00646561 | + | 0.00978364i | ||||
\(819\) | 9.45948 | − | 3.04723i | 0.330541 | − | 0.106479i | ||||
\(820\) | −1.49328 | + | 5.38841i | −0.0521477 | + | 0.188171i | ||||
\(821\) | 23.4634 | + | 1.75834i | 0.818879 | + | 0.0613665i | 0.477580 | − | 0.878588i | \(-0.341514\pi\) |
0.341299 | + | 0.939955i | \(0.389133\pi\) | |||||||
\(822\) | 20.4014 | − | 36.5440i | 0.711582 | − | 1.27462i | ||||
\(823\) | −12.1044 | + | 30.8414i | −0.421931 | + | 1.07506i | 0.549025 | + | 0.835806i | \(0.314999\pi\) |
−0.970956 | + | 0.239257i | \(0.923096\pi\) | |||||||
\(824\) | −43.6876 | + | 19.3674i | −1.52193 | + | 0.674695i | ||||
\(825\) | 17.0264 | − | 21.3504i | 0.592783 | − | 0.743326i | ||||
\(826\) | 17.1704 | + | 33.3332i | 0.597434 | + | 1.15981i | ||||
\(827\) | 15.4728 | − | 12.3391i | 0.538041 | − | 0.429074i | −0.316397 | − | 0.948627i | \(-0.602473\pi\) |
0.854438 | + | 0.519553i | \(0.173902\pi\) | |||||||
\(828\) | −6.57034 | + | 2.23623i | −0.228335 | + | 0.0777144i | ||||
\(829\) | 23.4352 | − | 1.75623i | 0.813939 | − | 0.0609963i | 0.338746 | − | 0.940878i | \(-0.389997\pi\) |
0.475193 | + | 0.879882i | \(0.342378\pi\) | |||||||
\(830\) | −5.76566 | − | 8.19994i | −0.200129 | − | 0.284624i | ||||
\(831\) | −7.03590 | − | 6.52836i | −0.244073 | − | 0.226466i | ||||
\(832\) | 37.8143 | + | 5.24537i | 1.31098 | + | 0.181851i | ||||
\(833\) | 8.56891 | − | 15.7331i | 0.296895 | − | 0.545119i | ||||
\(834\) | −11.3581 | − | 11.8923i | −0.393297 | − | 0.411795i | ||||
\(835\) | −10.1193 | + | 10.9060i | −0.350194 | + | 0.377419i | ||||
\(836\) | −5.35568 | + | 27.0386i | −0.185230 | + | 0.935149i | ||||
\(837\) | 12.8494 | − | 0.962933i | 0.444142 | − | 0.0332838i | ||||
\(838\) | −21.3641 | − | 9.91127i | −0.738009 | − | 0.342379i | ||||
\(839\) | 13.6596 | + | 17.1285i | 0.471580 | + | 0.591343i | 0.959557 | − | 0.281514i | \(-0.0908365\pi\) |
−0.487977 | + | 0.872856i | \(0.662265\pi\) | |||||||
\(840\) | 7.81833 | − | 15.4727i | 0.269758 | − | 0.533859i | ||||
\(841\) | 4.72765 | − | 5.92829i | 0.163023 | − | 0.204424i | ||||
\(842\) | −39.5024 | + | 19.7304i | −1.36134 | + | 0.679955i | ||||
\(843\) | 40.8279 | + | 16.0238i | 1.40619 | + | 0.551888i | ||||
\(844\) | 43.0732 | − | 11.1478i | 1.48264 | − | 0.383725i | ||||
\(845\) | 11.6006 | + | 0.869346i | 0.399074 | + | 0.0299064i | ||||
\(846\) | −10.6338 | + | 6.34571i | −0.365597 | + | 0.218170i | ||||
\(847\) | −1.56965 | + | 11.3720i | −0.0539338 | + | 0.390747i | ||||
\(848\) | 2.05780 | − | 0.274286i | 0.0706651 | − | 0.00941902i | ||||
\(849\) | −23.7500 | + | 3.57974i | −0.815098 | + | 0.122856i | ||||
\(850\) | 2.11761 | + | 12.7941i | 0.0726333 | + | 0.438834i | ||||
\(851\) | 6.39868 | − | 3.69428i | 0.219344 | − | 0.126638i | ||||
\(852\) | 18.3904 | − | 28.7205i | 0.630045 | − | 0.983947i | ||||
\(853\) | −15.0682 | − | 31.2893i | −0.515924 | − | 1.07133i | −0.982399 | − | 0.186793i | \(-0.940191\pi\) |
0.466476 | − | 0.884534i | \(-0.345523\pi\) | |||||||
\(854\) | 9.82149 | + | 10.0306i | 0.336084 | + | 0.343240i | ||||
\(855\) | −2.97078 | − | 1.43065i | −0.101598 | − | 0.0489272i | ||||
\(856\) | −25.3423 | − | 6.63091i | −0.866182 | − | 0.226640i | ||||
\(857\) | −12.8142 | + | 11.8898i | −0.437723 | + | 0.406148i | −0.868012 | − | 0.496544i | \(-0.834602\pi\) |
0.430289 | + | 0.902691i | \(0.358412\pi\) | |||||||
\(858\) | 3.10347 | − | 51.3430i | 0.105951 | − | 1.75282i | ||||
\(859\) | −21.0564 | − | 30.8840i | −0.718433 | − | 1.05375i | −0.995671 | − | 0.0929470i | \(-0.970371\pi\) |
0.277238 | − | 0.960801i | \(-0.410581\pi\) | |||||||
\(860\) | −9.02090 | + | 16.7209i | −0.307610 | + | 0.570179i | ||||
\(861\) | −12.0914 | + | 0.150410i | −0.412072 | + | 0.00512597i | ||||
\(862\) | 22.0576 | + | 8.29174i | 0.751284 | + | 0.282418i | ||||
\(863\) | 13.9221 | − | 24.1139i | 0.473915 | − | 0.820846i | −0.525639 | − | 0.850708i | \(-0.676174\pi\) |
0.999554 | + | 0.0298624i | \(0.00950690\pi\) | |||||||
\(864\) | −22.6527 | − | 8.96019i | −0.770660 | − | 0.304832i | ||||
\(865\) | −4.15167 | − | 2.83056i | −0.141161 | − | 0.0962420i | ||||
\(866\) | 26.8065 | + | 20.7519i | 0.910922 | + | 0.705179i | ||||
\(867\) | −19.8262 | + | 4.52520i | −0.673333 | + | 0.153684i | ||||
\(868\) | −15.5686 | − | 2.88298i | −0.528432 | − | 0.0978549i | ||||
\(869\) | −48.8934 | − | 11.1596i | −1.65860 | − | 0.378564i | ||||
\(870\) | −9.62322 | − | 11.7163i | −0.326258 | − | 0.397220i | ||||
\(871\) | −50.4944 | + | 15.5755i | −1.71094 | + | 0.527754i | ||||
\(872\) | 16.4857 | − | 5.87766i | 0.558275 | − | 0.199043i | ||||
\(873\) | −9.28680 | − | 2.86460i | −0.314311 | − | 0.0969520i | ||||
\(874\) | 1.95504 | + | 21.8526i | 0.0661301 | + | 0.739174i | ||||
\(875\) | 10.1882 | + | 25.0387i | 0.344423 | + | 0.846461i | ||||
\(876\) | 4.88093 | + | 6.73309i | 0.164911 | + | 0.227490i | ||||
\(877\) | −9.88777 | + | 3.88067i | −0.333886 | + | 0.131041i | −0.526361 | − | 0.850261i | \(-0.676444\pi\) |
0.192475 | + | 0.981302i | \(0.438349\pi\) | |||||||
\(878\) | −27.9554 | + | 31.0143i | −0.943448 | + | 1.04668i | ||||
\(879\) | 40.1229 | + | 6.04756i | 1.35331 | + | 0.203979i | ||||
\(880\) | −12.4490 | − | 13.8854i | −0.419655 | − | 0.468075i | ||||
\(881\) | 13.4304 | 0.452481 | 0.226241 | − | 0.974071i | \(-0.427356\pi\) | ||||
0.226241 | + | 0.974071i | \(0.427356\pi\) | |||||||
\(882\) | 7.65920 | + | 1.43409i | 0.257899 | + | 0.0482883i | ||||
\(883\) | 25.4737i | 0.857260i | 0.903480 | + | 0.428630i | \(0.141004\pi\) | ||||
−0.903480 | + | 0.428630i | \(0.858996\pi\) | |||||||
\(884\) | 17.1239 | + | 17.4190i | 0.575937 | + | 0.585865i | ||||
\(885\) | −3.46000 | + | 22.9556i | −0.116307 | + | 0.771645i | ||||
\(886\) | 39.2521 | + | 35.3807i | 1.31870 | + | 1.18864i | ||||
\(887\) | 8.00016 | + | 20.3841i | 0.268619 | + | 0.684430i | 0.999997 | + | 0.00245774i | \(0.000782325\pi\) |
−0.731378 | + | 0.681972i | \(0.761122\pi\) | |||||||
\(888\) | −9.07386 | − | 1.66164i | −0.304499 | − | 0.0557610i | ||||
\(889\) | 12.0632 | − | 40.9077i | 0.404587 | − | 1.37200i | ||||
\(890\) | −1.22475 | − | 13.6898i | −0.0410539 | − | 0.458882i | ||||
\(891\) | −12.4005 | + | 40.2013i | −0.415431 | + | 1.34679i | ||||
\(892\) | 19.5367 | + | 8.72322i | 0.654136 | + | 0.292075i | ||||
\(893\) | 11.5383 | + | 37.4062i | 0.386114 | + | 1.25175i | ||||
\(894\) | 39.5910 | − | 32.5182i | 1.32412 | − | 1.08757i | ||||
\(895\) | 5.72730 | − | 25.0930i | 0.191443 | − | 0.838765i | ||||
\(896\) | 24.1061 | + | 17.7453i | 0.805329 | + | 0.592829i | ||||
\(897\) | −9.11039 | − | 39.9152i | −0.304187 | − | 1.33273i | ||||
\(898\) | 30.0328 | + | 23.2495i | 1.00221 | + | 0.775847i | ||||
\(899\) | −7.80064 | + | 11.4414i | −0.260166 | + | 0.381593i | ||||
\(900\) | −5.00924 | + | 2.59295i | −0.166975 | + | 0.0864316i | ||||
\(901\) | 1.15033 | + | 0.664143i | 0.0383230 | + | 0.0221258i | ||||
\(902\) | −4.57723 | + | 12.1763i | −0.152405 | + | 0.405426i | ||||
\(903\) | −40.1684 | − | 8.64395i | −1.33672 | − | 0.287653i | ||||
\(904\) | 42.8172 | − | 11.7432i | 1.42408 | − | 0.390574i | ||||
\(905\) | −1.51962 | + | 1.03606i | −0.0505140 | + | 0.0344399i | ||||
\(906\) | −0.914336 | + | 15.1266i | −0.0303768 | + | 0.502546i | ||||
\(907\) | 33.0403 | + | 35.6089i | 1.09708 | + | 1.18238i | 0.981973 | + | 0.189023i | \(0.0605319\pi\) |
0.115111 | + | 0.993353i | \(0.463278\pi\) | |||||||
\(908\) | 21.1708 | − | 13.0515i | 0.702576 | − | 0.433129i | ||||
\(909\) | 4.87020 | − | 10.1131i | 0.161534 | − | 0.335429i | ||||
\(910\) | 17.8771 | + | 11.4973i | 0.592620 | + | 0.381133i | ||||
\(911\) | 18.7858 | − | 9.04678i | 0.622402 | − | 0.299733i | −0.0959783 | − | 0.995383i | \(-0.530598\pi\) |
0.718381 | + | 0.695650i | \(0.244884\pi\) | |||||||
\(912\) | 15.8151 | − | 22.3656i | 0.523692 | − | 0.740598i | ||||
\(913\) | −11.6601 | − | 20.1959i | −0.385893 | − | 0.668386i | ||||
\(914\) | 4.19655 | + | 25.3546i | 0.138810 | + | 0.838657i | ||||
\(915\) | 1.29542 | + | 8.59456i | 0.0428253 | + | 0.284127i | ||||
\(916\) | −9.38783 | − | 52.0466i | −0.310182 | − | 1.71967i | ||||
\(917\) | 20.8880 | + | 13.8638i | 0.689782 | + | 0.457822i | ||||
\(918\) | −7.98719 | − | 13.3845i | −0.263616 | − | 0.441754i | ||||
\(919\) | −2.42719 | + | 32.3886i | −0.0800656 | + | 1.06840i | 0.802015 | + | 0.597304i | \(0.203761\pi\) |
−0.882081 | + | 0.471098i | \(0.843858\pi\) | |||||||
\(920\) | −12.6148 | − | 7.82331i | −0.415899 | − | 0.257927i | ||||
\(921\) | 7.43353 | − | 18.9403i | 0.244943 | − | 0.624105i | ||||
\(922\) | −26.4206 | + | 13.1964i | −0.870117 | + | 0.434600i | ||||
\(923\) | 32.6915 | + | 26.0706i | 1.07606 | + | 0.858125i | ||||
\(924\) | 21.3239 | − | 34.2320i | 0.701506 | − | 1.12615i | ||||
\(925\) | 4.69468 | − | 3.74389i | 0.154360 | − | 0.123098i | ||||
\(926\) | −12.4045 | + | 26.7383i | −0.407637 | + | 0.878675i | ||||
\(927\) | −0.993855 | − | 13.2621i | −0.0326425 | − | 0.435584i | ||||
\(928\) | 22.7067 | − | 13.0293i | 0.745385 | − | 0.427707i | ||||
\(929\) | 24.9559 | + | 23.1557i | 0.818776 | + | 0.759714i | 0.973608 | − | 0.228227i | \(-0.0732930\pi\) |
−0.154831 | + | 0.987941i | \(0.549483\pi\) | |||||||
\(930\) | −6.77067 | − | 7.08912i | −0.222019 | − | 0.232461i | ||||
\(931\) | 10.1323 | − | 22.4522i | 0.332074 | − | 0.735842i | ||||
\(932\) | 1.84830 | − | 40.2004i | 0.0605430 | − | 1.31681i | ||||
\(933\) | −4.16558 | + | 4.48942i | −0.136375 | + | 0.146977i | ||||
\(934\) | 30.1187 | − | 21.1775i | 0.985513 | − | 0.692947i | ||||
\(935\) | −0.891687 | − | 11.8987i | −0.0291613 | − | 0.389130i | ||||
\(936\) | −4.90909 | + | 9.42220i | −0.160459 | + | 0.307974i | ||||
\(937\) | −21.9377 | − | 27.5090i | −0.716674 | − | 0.898680i | 0.281471 | − | 0.959570i | \(-0.409178\pi\) |
−0.998145 | + | 0.0608895i | \(0.980606\pi\) | |||||||
\(938\) | −40.6266 | − | 8.13113i | −1.32650 | − | 0.265491i | ||||
\(939\) | −9.98621 | − | 7.96374i | −0.325888 | − | 0.259887i | ||||
\(940\) | −24.9226 | − | 8.96057i | −0.812887 | − | 0.292261i | ||||
\(941\) | −39.3425 | − | 15.4408i | −1.28253 | − | 0.503355i | −0.376439 | − | 0.926441i | \(-0.622852\pi\) |
−0.906089 | + | 0.423086i | \(0.860947\pi\) | |||||||
\(942\) | −15.9636 | − | 8.91204i | −0.520124 | − | 0.290370i | ||||
\(943\) | −0.773758 | + | 10.3251i | −0.0251970 | + | 0.336231i | ||||
\(944\) | −38.0962 | − | 12.4680i | −1.23993 | − | 0.405798i | ||||
\(945\) | −9.34808 | − | 9.82680i | −0.304093 | − | 0.319666i | ||||
\(946\) | −24.3693 | + | 36.8751i | −0.792313 | + | 1.19891i | ||||
\(947\) | −4.84081 | − | 32.1167i | −0.157305 | − | 1.04365i | −0.918583 | − | 0.395227i | \(-0.870666\pi\) |
0.761278 | − | 0.648425i | \(-0.224572\pi\) | |||||||
\(948\) | 39.8457 | + | 29.9367i | 1.29413 | + | 0.972300i | ||||
\(949\) | −8.83020 | + | 5.09812i | −0.286640 | + | 0.165492i | ||||
\(950\) | 4.21807 | + | 17.3245i | 0.136852 | + | 0.562082i | ||||
\(951\) | 26.3290 | − | 12.6794i | 0.853777 | − | 0.411157i | ||||
\(952\) | 5.29504 | + | 18.4057i | 0.171613 | + | 0.596532i | ||||
\(953\) | −20.2802 | − | 9.76642i | −0.656940 | − | 0.316365i | 0.0755516 | − | 0.997142i | \(-0.475928\pi\) |
−0.732491 | + | 0.680776i | \(0.761643\pi\) | |||||||
\(954\) | −0.120420 | + | 0.565054i | −0.00389876 | + | 0.0182943i | ||||
\(955\) | −4.51622 | − | 4.86733i | −0.146141 | − | 0.157503i | ||||
\(956\) | 19.2074 | + | 22.7090i | 0.621211 | + | 0.734461i | ||||
\(957\) | −19.8698 | − | 29.1436i | −0.642298 | − | 0.942078i | ||||
\(958\) | −13.0037 | − | 40.0938i | −0.420130 | − | 1.29537i | ||||
\(959\) | 17.9069 | + | 36.0307i | 0.578245 | + | 1.16349i | ||||
\(960\) | 5.67060 | + | 17.6439i | 0.183018 | + | 0.569455i | ||||
\(961\) | 11.0234 | − | 19.0930i | 0.355592 | − | 0.615904i | ||||
\(962\) | 3.17750 | − | 10.8548i | 0.102447 | − | 0.349972i | ||||
\(963\) | 4.10666 | − | 6.02336i | 0.132335 | − | 0.194100i | ||||
\(964\) | −5.24564 | − | 50.4254i | −0.168951 | − | 1.62409i | ||||
\(965\) | 12.5278 | − | 2.85939i | 0.403285 | − | 0.0920472i | ||||
\(966\) | 8.63464 | − | 30.9184i | 0.277815 | − | 0.994785i | ||||
\(967\) | 1.12356 | − | 4.92262i | 0.0361311 | − | 0.158301i | −0.953644 | − | 0.300937i | \(-0.902701\pi\) |
0.989775 | + | 0.142636i | \(0.0455578\pi\) | |||||||
\(968\) | −7.34558 | − | 9.83134i | −0.236096 | − | 0.315991i | ||||
\(969\) | 16.7478 | − | 5.16600i | 0.538016 | − | 0.165956i | ||||
\(970\) | −7.87212 | − | 19.2370i | −0.252759 | − | 0.617664i | ||||
\(971\) | 11.3870 | − | 36.9158i | 0.365427 | − | 1.18468i | −0.567120 | − | 0.823635i | \(-0.691942\pi\) |
0.932547 | − | 0.361050i | \(-0.117581\pi\) | |||||||
\(972\) | 10.5203 | − | 12.0156i | 0.337439 | − | 0.385401i | ||||
\(973\) | 15.6020 | − | 2.55048i | 0.500177 | − | 0.0817648i | ||||
\(974\) | 6.96035 | − | 51.1785i | 0.223024 | − | 1.63986i | ||||
\(975\) | −12.1562 | − | 30.9735i | −0.389310 | − | 0.991946i | ||||
\(976\) | −15.0054 | − | 0.256464i | −0.480312 | − | 0.00820922i | ||||
\(977\) | −60.3747 | − | 9.10002i | −1.93156 | − | 0.291135i | −0.933784 | − | 0.357838i | \(-0.883514\pi\) |
−0.997773 | + | 0.0667022i | \(0.978752\pi\) | |||||||
\(978\) | −0.332366 | − | 23.0354i | −0.0106279 | − | 0.736590i | ||||
\(979\) | − | 31.9754i | − | 1.02194i | ||||||
\(980\) | 8.02694 | + | 14.6052i | 0.256411 | + | 0.466547i | ||||
\(981\) | 4.87078i | 0.155512i | ||||||||
\(982\) | 10.1980 | − | 0.147142i | 0.325432 | − | 0.00469550i | ||||
\(983\) | 29.5925 | + | 4.46035i | 0.943854 | + | 0.142263i | 0.602900 | − | 0.797817i | \(-0.294012\pi\) |
0.340954 | + | 0.940080i | \(0.389250\pi\) | |||||||
\(984\) | 9.08698 | − | 9.19452i | 0.289682 | − | 0.293111i | ||||
\(985\) | −0.921271 | − | 2.34736i | −0.0293541 | − | 0.0747931i | ||||
\(986\) | 16.5975 | + | 2.25729i | 0.528573 | + | 0.0718867i | ||||
\(987\) | 3.56947 | − | 57.1646i | 0.113617 | − | 1.81957i | ||||
\(988\) | 25.2685 | + | 22.1239i | 0.803897 | + | 0.703855i | ||||
\(989\) | −10.3699 | + | 33.6185i | −0.329745 | + | 1.06901i | ||||
\(990\) | 4.80330 | − | 1.96559i | 0.152659 | − | 0.0624706i | ||||
\(991\) | 1.27384 | − | 0.392927i | 0.0404648 | − | 0.0124817i | −0.274457 | − | 0.961599i | \(-0.588498\pi\) |
0.314922 | + | 0.949118i | \(0.398022\pi\) | |||||||
\(992\) | 14.0106 | − | 9.49775i | 0.444838 | − | 0.301554i | ||||
\(993\) | −7.06841 | + | 30.9687i | −0.224309 | + | 0.982763i | ||||
\(994\) | 12.7934 | + | 30.1864i | 0.405782 | + | 0.957453i | ||||
\(995\) | −14.7167 | + | 3.35898i | −0.466549 | + | 0.106487i | ||||
\(996\) | 2.39790 | + | 23.0506i | 0.0759805 | + | 0.730387i | ||||
\(997\) | 32.1492 | − | 47.1542i | 1.01817 | − | 1.49339i | 0.155366 | − | 0.987857i | \(-0.450344\pi\) |
0.862808 | − | 0.505531i | \(-0.168703\pi\) | |||||||
\(998\) | −15.5706 | − | 4.55793i | −0.492877 | − | 0.144279i | ||||
\(999\) | −3.60856 | + | 6.25020i | −0.114170 | + | 0.197748i |
(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 | 392.2.z.a.205.28 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.205.3 | yes | 648 | |
49.11 | even | 21 | inner | 392.2.z.a.109.3 | ✓ | 648 | |
392.109 | even | 42 | inner | 392.2.z.a.109.28 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.3 | ✓ | 648 | 49.11 | even | 21 | inner | |
392.2.z.a.109.28 | yes | 648 | 392.109 | even | 42 | inner | |
392.2.z.a.205.3 | yes | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.205.28 | yes | 648 | 1.1 | even | 1 | trivial |