Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.4 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34983 | + | 0.421862i | −0.954472 | + | 0.298301i | ||||
\(3\) | −1.90910 | + | 1.90910i | −1.10222 | + | 1.10222i | −0.108079 | + | 0.994142i | \(0.534470\pi\) |
−0.994142 | + | 0.108079i | \(0.965530\pi\) | |||||||
\(4\) | 1.64407 | − | 1.13888i | 0.822033 | − | 0.569440i | ||||
\(5\) | −0.987103 | + | 2.00640i | −0.441446 | + | 0.897288i | ||||
\(6\) | 1.77158 | − | 3.38234i | 0.723245 | − | 1.38083i | ||||
\(7\) | −3.15102 | − | 3.15102i | −1.19097 | − | 1.19097i | −0.976795 | − | 0.214177i | \(-0.931293\pi\) |
−0.214177 | − | 0.976795i | \(-0.568707\pi\) | |||||||
\(8\) | −1.73875 | + | 2.23086i | −0.614742 | + | 0.788728i | ||||
\(9\) | − | 4.28935i | − | 1.42978i | ||||||
\(10\) | 0.485997 | − | 3.12471i | 0.153686 | − | 0.988120i | ||||
\(11\) | 1.76842i | 0.533198i | 0.963808 | + | 0.266599i | \(0.0858999\pi\) | ||||
−0.963808 | + | 0.266599i | \(0.914100\pi\) | |||||||
\(12\) | −0.964451 | + | 5.31293i | −0.278413 | + | 1.53371i | ||||
\(13\) | 0.707107 | + | 0.707107i | 0.196116 | + | 0.196116i | ||||
\(14\) | 5.58262 | + | 2.92403i | 1.49202 | + | 0.781481i | ||||
\(15\) | −1.94594 | − | 5.71490i | −0.502439 | − | 1.47558i | ||||
\(16\) | 1.40590 | − | 3.74479i | 0.351476 | − | 0.936197i | ||||
\(17\) | 2.56615 | − | 2.56615i | 0.622383 | − | 0.622383i | −0.323757 | − | 0.946140i | \(-0.604946\pi\) |
0.946140 | + | 0.323757i | \(0.104946\pi\) | |||||||
\(18\) | 1.80951 | + | 5.78988i | 0.426506 | + | 1.36469i | ||||
\(19\) | −1.23388 | −0.283071 | −0.141535 | − | 0.989933i | \(-0.545204\pi\) | ||||
−0.141535 | + | 0.989933i | \(0.545204\pi\) | |||||||
\(20\) | 0.662183 | + | 4.42284i | 0.148069 | + | 0.988977i | ||||
\(21\) | 12.0312 | 2.62543 | ||||||||
\(22\) | −0.746028 | − | 2.38706i | −0.159054 | − | 0.508923i | ||||
\(23\) | 2.73924 | − | 2.73924i | 0.571171 | − | 0.571171i | −0.361285 | − | 0.932456i | \(-0.617662\pi\) |
0.932456 | + | 0.361285i | \(0.117662\pi\) | |||||||
\(24\) | −0.939480 | − | 7.57840i | −0.191771 | − | 1.54693i | ||||
\(25\) | −3.05126 | − | 3.96104i | −0.610251 | − | 0.792208i | ||||
\(26\) | −1.25277 | − | 0.656171i | −0.245689 | − | 0.128686i | ||||
\(27\) | 2.46150 | + | 2.46150i | 0.473717 | + | 0.473717i | ||||
\(28\) | −8.76911 | − | 1.59185i | −1.65721 | − | 0.300831i | ||||
\(29\) | − | 2.75202i | − | 0.511036i | −0.966804 | − | 0.255518i | \(-0.917754\pi\) | ||
0.966804 | − | 0.255518i | \(-0.0822461\pi\) | |||||||
\(30\) | 5.03757 | + | 6.89321i | 0.919731 | + | 1.25852i | ||||
\(31\) | − | 4.10776i | − | 0.737775i | −0.929474 | − | 0.368887i | \(-0.879739\pi\) | ||
0.929474 | − | 0.368887i | \(-0.120261\pi\) | |||||||
\(32\) | −0.317944 | + | 5.64791i | −0.0562051 | + | 0.998419i | ||||
\(33\) | −3.37609 | − | 3.37609i | −0.587702 | − | 0.587702i | ||||
\(34\) | −2.38130 | + | 4.54642i | −0.408389 | + | 0.779704i | ||||
\(35\) | 9.43256 | − | 3.21181i | 1.59439 | − | 0.542895i | ||||
\(36\) | −4.88506 | − | 7.05197i | −0.814176 | − | 1.17533i | ||||
\(37\) | 1.55050 | − | 1.55050i | 0.254900 | − | 0.254900i | −0.568076 | − | 0.822976i | \(-0.692312\pi\) |
0.822976 | + | 0.568076i | \(0.192312\pi\) | |||||||
\(38\) | 1.66552 | − | 0.520525i | 0.270183 | − | 0.0844403i | ||||
\(39\) | −2.69988 | −0.432327 | ||||||||
\(40\) | −2.75966 | − | 5.69072i | −0.436340 | − | 0.899782i | ||||
\(41\) | −11.6267 | −1.81579 | −0.907893 | − | 0.419203i | \(-0.862310\pi\) | ||||
−0.907893 | + | 0.419203i | \(0.862310\pi\) | |||||||
\(42\) | −16.2401 | + | 5.07551i | −2.50590 | + | 0.783169i | ||||
\(43\) | −0.431204 | + | 0.431204i | −0.0657580 | + | 0.0657580i | −0.739221 | − | 0.673463i | \(-0.764806\pi\) |
0.673463 | + | 0.739221i | \(0.264806\pi\) | |||||||
\(44\) | 2.01402 | + | 2.90740i | 0.303624 | + | 0.438306i | ||||
\(45\) | 8.60614 | + | 4.23403i | 1.28293 | + | 0.631172i | ||||
\(46\) | −2.54192 | + | 4.85308i | −0.374785 | + | 0.715547i | ||||
\(47\) | 8.54523 | + | 8.54523i | 1.24645 | + | 1.24645i | 0.957277 | + | 0.289173i | \(0.0933804\pi\) |
0.289173 | + | 0.957277i | \(0.406620\pi\) | |||||||
\(48\) | 4.46517 | + | 9.83320i | 0.644492 | + | 1.41930i | ||||
\(49\) | 12.8578i | 1.83683i | ||||||||
\(50\) | 5.78968 | + | 4.05951i | 0.818784 | + | 0.574102i | ||||
\(51\) | 9.79809i | 1.37201i | ||||||||
\(52\) | 1.96784 | + | 0.357220i | 0.272890 | + | 0.0495375i | ||||
\(53\) | −10.2133 | − | 10.2133i | −1.40290 | − | 1.40290i | −0.790713 | − | 0.612187i | \(-0.790290\pi\) |
−0.612187 | − | 0.790713i | \(-0.709710\pi\) | |||||||
\(54\) | −4.36102 | − | 2.28419i | −0.593460 | − | 0.310839i | ||||
\(55\) | −3.54815 | − | 1.74561i | −0.478432 | − | 0.235378i | ||||
\(56\) | 12.5083 | − | 1.55063i | 1.67149 | − | 0.207212i | ||||
\(57\) | 2.35560 | − | 2.35560i | 0.312006 | − | 0.312006i | ||||
\(58\) | 1.16097 | + | 3.71474i | 0.152443 | + | 0.487770i | ||||
\(59\) | −7.03475 | −0.915846 | −0.457923 | − | 0.888992i | \(-0.651406\pi\) | ||||
−0.457923 | + | 0.888992i | \(0.651406\pi\) | |||||||
\(60\) | −9.70784 | − | 7.17948i | −1.25328 | − | 0.926867i | ||||
\(61\) | −8.24800 | −1.05605 | −0.528024 | − | 0.849229i | \(-0.677067\pi\) | ||||
−0.528024 | + | 0.849229i | \(0.677067\pi\) | |||||||
\(62\) | 1.73290 | + | 5.54476i | 0.220079 | + | 0.704185i | ||||
\(63\) | −13.5158 | + | 13.5158i | −1.70283 | + | 1.70283i | ||||
\(64\) | −1.95347 | − | 7.75783i | −0.244183 | − | 0.969729i | ||||
\(65\) | −2.11672 | + | 0.720749i | −0.262547 | + | 0.0893980i | ||||
\(66\) | 5.98138 | + | 3.13290i | 0.736258 | + | 0.385633i | ||||
\(67\) | −1.41930 | − | 1.41930i | −0.173395 | − | 0.173395i | 0.615074 | − | 0.788469i | \(-0.289126\pi\) |
−0.788469 | + | 0.615074i | \(0.789126\pi\) | |||||||
\(68\) | 1.29638 | − | 7.14146i | 0.157209 | − | 0.866029i | ||||
\(69\) | 10.4590i | 1.25911i | ||||||||
\(70\) | −11.3774 | + | 8.31462i | −1.35986 | + | 0.993788i | ||||
\(71\) | − | 11.4152i | − | 1.35474i | −0.735644 | − | 0.677368i | \(-0.763120\pi\) | ||
0.735644 | − | 0.677368i | \(-0.236880\pi\) | |||||||
\(72\) | 9.56894 | + | 7.45813i | 1.12771 | + | 0.878949i | ||||
\(73\) | −5.51442 | − | 5.51442i | −0.645414 | − | 0.645414i | 0.306467 | − | 0.951881i | \(-0.400853\pi\) |
−0.951881 | + | 0.306467i | \(0.900853\pi\) | |||||||
\(74\) | −1.43881 | + | 2.74699i | −0.167258 | + | 0.319332i | ||||
\(75\) | 13.3872 | + | 1.73687i | 1.54582 | + | 0.200557i | ||||
\(76\) | −2.02857 | + | 1.40524i | −0.232693 | + | 0.161192i | ||||
\(77\) | 5.57231 | − | 5.57231i | 0.635024 | − | 0.635024i | ||||
\(78\) | 3.64437 | − | 1.13898i | 0.412644 | − | 0.128964i | ||||
\(79\) | −6.65878 | −0.749171 | −0.374586 | − | 0.927192i | \(-0.622215\pi\) | ||||
−0.374586 | + | 0.927192i | \(0.622215\pi\) | |||||||
\(80\) | 6.12576 | + | 6.51729i | 0.684881 | + | 0.728655i | ||||
\(81\) | 3.46952 | 0.385502 | ||||||||
\(82\) | 15.6940 | − | 4.90486i | 1.73312 | − | 0.541651i | ||||
\(83\) | −3.92562 | + | 3.92562i | −0.430893 | + | 0.430893i | −0.888932 | − | 0.458039i | \(-0.848552\pi\) |
0.458039 | + | 0.888932i | \(0.348552\pi\) | |||||||
\(84\) | 19.7801 | − | 13.7021i | 2.15819 | − | 1.49502i | ||||
\(85\) | 2.61566 | + | 7.68177i | 0.283708 | + | 0.833205i | ||||
\(86\) | 0.400142 | − | 0.763959i | 0.0431485 | − | 0.0823798i | ||||
\(87\) | 5.25388 | + | 5.25388i | 0.563275 | + | 0.563275i | ||||
\(88\) | −3.94509 | − | 3.07484i | −0.420548 | − | 0.327779i | ||||
\(89\) | 8.02760i | 0.850924i | 0.904976 | + | 0.425462i | \(0.139888\pi\) | ||||
−0.904976 | + | 0.425462i | \(0.860112\pi\) | |||||||
\(90\) | −13.4030 | − | 2.08461i | −1.41280 | − | 0.219737i | ||||
\(91\) | − | 4.45621i | − | 0.467138i | ||||||
\(92\) | 1.38382 | − | 7.62315i | 0.144274 | − | 0.794769i | ||||
\(93\) | 7.84213 | + | 7.84213i | 0.813191 | + | 0.813191i | ||||
\(94\) | −15.1395 | − | 7.92968i | −1.56152 | − | 0.817884i | ||||
\(95\) | 1.21796 | − | 2.47564i | 0.124960 | − | 0.253996i | ||||
\(96\) | −10.1755 | − | 11.3894i | −1.03853 | − | 1.16243i | ||||
\(97\) | 1.20285 | − | 1.20285i | 0.122131 | − | 0.122131i | −0.643400 | − | 0.765531i | \(-0.722477\pi\) |
0.765531 | + | 0.643400i | \(0.222477\pi\) | |||||||
\(98\) | −5.42421 | − | 17.3558i | −0.547928 | − | 1.75320i | ||||
\(99\) | 7.58537 | 0.762358 | ||||||||
\(100\) | −9.52761 | − | 3.03720i | −0.952761 | − | 0.303720i | ||||
\(101\) | −0.373555 | −0.0371701 | −0.0185851 | − | 0.999827i | \(-0.505916\pi\) | ||||
−0.0185851 | + | 0.999827i | \(0.505916\pi\) | |||||||
\(102\) | −4.13344 | − | 13.2257i | −0.409271 | − | 1.30954i | ||||
\(103\) | 0.262755 | − | 0.262755i | 0.0258900 | − | 0.0258900i | −0.694043 | − | 0.719933i | \(-0.744172\pi\) |
0.719933 | + | 0.694043i | \(0.244172\pi\) | |||||||
\(104\) | −2.80694 | + | 0.347971i | −0.275243 | + | 0.0341214i | ||||
\(105\) | −11.8761 | + | 24.1394i | −1.15899 | + | 2.35577i | ||||
\(106\) | 18.0947 | + | 9.47756i | 1.75752 | + | 0.920542i | ||||
\(107\) | −1.30227 | − | 1.30227i | −0.125895 | − | 0.125895i | 0.641352 | − | 0.767247i | \(-0.278374\pi\) |
−0.767247 | + | 0.641352i | \(0.778374\pi\) | |||||||
\(108\) | 6.85023 | + | 1.24352i | 0.659164 | + | 0.119657i | ||||
\(109\) | − | 16.9444i | − | 1.62298i | −0.584366 | − | 0.811490i | \(-0.698657\pi\) | ||
0.584366 | − | 0.811490i | \(-0.301343\pi\) | |||||||
\(110\) | 5.52579 | + | 0.859445i | 0.526864 | + | 0.0819449i | ||||
\(111\) | 5.92011i | 0.561912i | ||||||||
\(112\) | −16.2299 | + | 7.36986i | −1.53358 | + | 0.696386i | ||||
\(113\) | 3.61951 | + | 3.61951i | 0.340495 | + | 0.340495i | 0.856553 | − | 0.516058i | \(-0.172601\pi\) |
−0.516058 | + | 0.856553i | \(0.672601\pi\) | |||||||
\(114\) | −2.18591 | + | 4.17338i | −0.204729 | + | 0.390873i | ||||
\(115\) | 2.79209 | + | 8.19991i | 0.260364 | + | 0.764646i | ||||
\(116\) | −3.13422 | − | 4.52449i | −0.291005 | − | 0.420089i | ||||
\(117\) | 3.03303 | − | 3.03303i | 0.280404 | − | 0.280404i | ||||
\(118\) | 9.49569 | − | 2.96769i | 0.874149 | − | 0.273198i | ||||
\(119\) | −16.1720 | −1.48248 | ||||||||
\(120\) | 16.1326 | + | 5.59570i | 1.47270 | + | 0.510815i | ||||
\(121\) | 7.87270 | 0.715700 | ||||||||
\(122\) | 11.1334 | − | 3.47951i | 1.00797 | − | 0.315020i | ||||
\(123\) | 22.1966 | − | 22.1966i | 2.00140 | − | 2.00140i | ||||
\(124\) | −4.67824 | − | 6.75342i | −0.420119 | − | 0.606475i | ||||
\(125\) | 10.9593 | − | 2.21207i | 0.980232 | − | 0.197854i | ||||
\(126\) | 12.5422 | − | 23.9458i | 1.11735 | − | 2.13326i | ||||
\(127\) | −4.78144 | − | 4.78144i | −0.424284 | − | 0.424284i | 0.462392 | − | 0.886676i | \(-0.346991\pi\) |
−0.886676 | + | 0.462392i | \(0.846991\pi\) | |||||||
\(128\) | 5.90957 | + | 9.64764i | 0.522338 | + | 0.852739i | ||||
\(129\) | − | 1.64643i | − | 0.144960i | ||||||
\(130\) | 2.55315 | − | 1.86585i | 0.223926 | − | 0.163646i | ||||
\(131\) | 6.06174i | 0.529617i | 0.964301 | + | 0.264808i | \(0.0853087\pi\) | ||||
−0.964301 | + | 0.264808i | \(0.914691\pi\) | |||||||
\(132\) | −9.39548 | − | 1.70555i | −0.817772 | − | 0.148449i | ||||
\(133\) | 3.88796 | + | 3.88796i | 0.337129 | + | 0.337129i | ||||
\(134\) | 2.51455 | + | 1.31706i | 0.217224 | + | 0.113776i | ||||
\(135\) | −7.36851 | + | 2.50900i | −0.634181 | + | 0.215940i | ||||
\(136\) | 1.26282 | + | 10.1866i | 0.108286 | + | 0.873496i | ||||
\(137\) | −12.4596 | + | 12.4596i | −1.06449 | + | 1.06449i | −0.0667216 | + | 0.997772i | \(0.521254\pi\) |
−0.997772 | + | 0.0667216i | \(0.978746\pi\) | |||||||
\(138\) | −4.41224 | − | 14.1178i | −0.375595 | − | 1.20179i | ||||
\(139\) | 11.7642 | 0.997824 | 0.498912 | − | 0.866653i | \(-0.333733\pi\) | ||||
0.498912 | + | 0.866653i | \(0.333733\pi\) | |||||||
\(140\) | 11.8499 | − | 16.0230i | 1.00150 | − | 1.35419i | ||||
\(141\) | −32.6275 | −2.74773 | ||||||||
\(142\) | 4.81564 | + | 15.4086i | 0.404119 | + | 1.29306i | ||||
\(143\) | −1.25046 | + | 1.25046i | −0.104569 | + | 0.104569i | ||||
\(144\) | −16.0627 | − | 6.03041i | −1.33856 | − | 0.502534i | ||||
\(145\) | 5.52163 | + | 2.71652i | 0.458547 | + | 0.225595i | ||||
\(146\) | 9.76984 | + | 5.11719i | 0.808558 | + | 0.423502i | ||||
\(147\) | −24.5469 | − | 24.5469i | −2.02459 | − | 2.02459i | ||||
\(148\) | 0.783287 | − | 4.31494i | 0.0643858 | − | 0.354686i | ||||
\(149\) | 7.73718i | 0.633854i | 0.948450 | + | 0.316927i | \(0.102651\pi\) | ||||
−0.948450 | + | 0.316927i | \(0.897349\pi\) | |||||||
\(150\) | −18.8031 | + | 3.30306i | −1.53527 | + | 0.269694i | ||||
\(151\) | − | 18.7832i | − | 1.52856i | −0.644886 | − | 0.764279i | \(-0.723095\pi\) | ||
0.644886 | − | 0.764279i | \(-0.276905\pi\) | |||||||
\(152\) | 2.14541 | − | 2.75260i | 0.174015 | − | 0.223266i | ||||
\(153\) | −11.0071 | − | 11.0071i | −0.889873 | − | 0.889873i | ||||
\(154\) | −5.17091 | + | 9.87240i | −0.416684 | + | 0.795541i | ||||
\(155\) | 8.24179 | + | 4.05478i | 0.661996 | + | 0.325688i | ||||
\(156\) | −4.43878 | + | 3.07484i | −0.355387 | + | 0.246184i | ||||
\(157\) | 3.98679 | − | 3.98679i | 0.318180 | − | 0.318180i | −0.529888 | − | 0.848068i | \(-0.677766\pi\) |
0.848068 | + | 0.529888i | \(0.177766\pi\) | |||||||
\(158\) | 8.98820 | − | 2.80908i | 0.715063 | − | 0.223479i | ||||
\(159\) | 38.9964 | 3.09261 | ||||||||
\(160\) | −11.0181 | − | 6.21299i | −0.871058 | − | 0.491180i | ||||
\(161\) | −17.2628 | −1.36050 | ||||||||
\(162\) | −4.68325 | + | 1.46366i | −0.367951 | + | 0.114996i | ||||
\(163\) | −6.93048 | + | 6.93048i | −0.542837 | + | 0.542837i | −0.924360 | − | 0.381522i | \(-0.875400\pi\) |
0.381522 | + | 0.924360i | \(0.375400\pi\) | |||||||
\(164\) | −19.1151 | + | 13.2414i | −1.49264 | + | 1.03398i | ||||
\(165\) | 10.1063 | − | 3.44123i | 0.786777 | − | 0.267899i | ||||
\(166\) | 3.64284 | − | 6.95498i | 0.282739 | − | 0.539811i | ||||
\(167\) | −2.14619 | − | 2.14619i | −0.166078 | − | 0.166078i | 0.619175 | − | 0.785253i | \(-0.287467\pi\) |
−0.785253 | + | 0.619175i | \(0.787467\pi\) | |||||||
\(168\) | −20.9193 | + | 26.8400i | −1.61396 | + | 2.07075i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −6.77133 | − | 9.26561i | −0.519337 | − | 0.710640i | ||||
\(171\) | 5.29253i | 0.404730i | ||||||||
\(172\) | −0.217838 | + | 1.20002i | −0.0166100 | + | 0.0915005i | ||||
\(173\) | 1.40204 | + | 1.40204i | 0.106595 | + | 0.106595i | 0.758393 | − | 0.651798i | \(-0.225985\pi\) |
−0.651798 | + | 0.758393i | \(0.725985\pi\) | |||||||
\(174\) | −9.30824 | − | 4.87542i | −0.705656 | − | 0.369605i | ||||
\(175\) | −2.86675 | + | 22.0959i | −0.216706 | + | 1.67029i | ||||
\(176\) | 6.62235 | + | 2.48622i | 0.499178 | + | 0.187406i | ||||
\(177\) | 13.4301 | − | 13.4301i | 1.00946 | − | 1.00946i | ||||
\(178\) | −3.38654 | − | 10.8359i | −0.253832 | − | 0.812183i | ||||
\(179\) | −10.6942 | −0.799325 | −0.399662 | − | 0.916662i | \(-0.630873\pi\) | ||||
−0.399662 | + | 0.916662i | \(0.630873\pi\) | |||||||
\(180\) | 18.9711 | − | 2.84034i | 1.41402 | − | 0.211706i | ||||
\(181\) | 13.3815 | 0.994639 | 0.497319 | − | 0.867568i | \(-0.334318\pi\) | ||||
0.497319 | + | 0.867568i | \(0.334318\pi\) | |||||||
\(182\) | 1.87990 | + | 6.01511i | 0.139348 | + | 0.445870i | ||||
\(183\) | 15.7463 | − | 15.7463i | 1.16400 | − | 1.16400i | ||||
\(184\) | 1.34799 | + | 10.8737i | 0.0993754 | + | 0.801621i | ||||
\(185\) | 1.58041 | + | 4.64141i | 0.116194 | + | 0.341243i | ||||
\(186\) | −13.8938 | − | 7.27723i | −1.01874 | − | 0.533592i | ||||
\(187\) | 4.53803 | + | 4.53803i | 0.331853 | + | 0.331853i | ||||
\(188\) | 23.7809 | + | 4.31693i | 1.73440 | + | 0.314844i | ||||
\(189\) | − | 15.5125i | − | 1.12837i | ||||||
\(190\) | −0.599659 | + | 3.85550i | −0.0435039 | + | 0.279708i | ||||
\(191\) | 22.0682i | 1.59680i | 0.602128 | + | 0.798399i | \(0.294320\pi\) | ||||
−0.602128 | + | 0.798399i | \(0.705680\pi\) | |||||||
\(192\) | 18.5399 | + | 11.0811i | 1.33800 | + | 0.799712i | ||||
\(193\) | −11.0984 | − | 11.0984i | −0.798884 | − | 0.798884i | 0.184036 | − | 0.982920i | \(-0.441084\pi\) |
−0.982920 | + | 0.184036i | \(0.941084\pi\) | |||||||
\(194\) | −1.11620 | + | 2.13108i | −0.0801387 | + | 0.153002i | ||||
\(195\) | 2.66506 | − | 5.41703i | 0.190849 | − | 0.387922i | ||||
\(196\) | 14.6435 | + | 21.1391i | 1.04596 | + | 1.50993i | ||||
\(197\) | 4.33528 | − | 4.33528i | 0.308876 | − | 0.308876i | −0.535598 | − | 0.844473i | \(-0.679914\pi\) |
0.844473 | + | 0.535598i | \(0.179914\pi\) | |||||||
\(198\) | −10.2389 | + | 3.19997i | −0.727649 | + | 0.227412i | ||||
\(199\) | 19.2499 | 1.36459 | 0.682295 | − | 0.731077i | \(-0.260982\pi\) | ||||
0.682295 | + | 0.731077i | \(0.260982\pi\) | |||||||
\(200\) | 14.1419 | + | 0.0803545i | 0.999984 | + | 0.00568192i | ||||
\(201\) | 5.41916 | 0.382238 | ||||||||
\(202\) | 0.504234 | − | 0.157588i | 0.0354778 | − | 0.0110879i | ||||
\(203\) | −8.67164 | + | 8.67164i | −0.608630 | + | 0.608630i | ||||
\(204\) | 11.1589 | + | 16.1087i | 0.781276 | + | 1.12783i | ||||
\(205\) | 11.4768 | − | 23.3278i | 0.801571 | − | 1.62928i | ||||
\(206\) | −0.243827 | + | 0.465519i | −0.0169882 | + | 0.0324343i | ||||
\(207\) | −11.7496 | − | 11.7496i | −0.816651 | − | 0.816651i | ||||
\(208\) | 3.64209 | − | 1.65384i | 0.252533 | − | 0.114673i | ||||
\(209\) | − | 2.18201i | − | 0.150933i | ||||||
\(210\) | 5.84714 | − | 37.5941i | 0.403491 | − | 2.59424i | ||||
\(211\) | 7.78507i | 0.535946i | 0.963426 | + | 0.267973i | \(0.0863539\pi\) | ||||
−0.963426 | + | 0.267973i | \(0.913646\pi\) | |||||||
\(212\) | −28.4230 | − | 5.15959i | −1.95210 | − | 0.354362i | ||||
\(213\) | 21.7928 | + | 21.7928i | 1.49322 | + | 1.49322i | ||||
\(214\) | 2.30722 | + | 1.20846i | 0.157718 | + | 0.0826089i | ||||
\(215\) | −0.439523 | − | 1.29081i | −0.0299752 | − | 0.0880324i | ||||
\(216\) | −9.77122 | + | 1.21132i | −0.664847 | + | 0.0824198i | ||||
\(217\) | −12.9436 | + | 12.9436i | −0.878669 | + | 0.878669i | ||||
\(218\) | 7.14820 | + | 22.8720i | 0.484137 | + | 1.54909i | ||||
\(219\) | 21.0552 | 1.42278 | ||||||||
\(220\) | −7.82143 | + | 1.17102i | −0.527321 | + | 0.0789500i | ||||
\(221\) | 3.62908 | 0.244119 | ||||||||
\(222\) | −2.49747 | − | 7.99112i | −0.167619 | − | 0.536329i | ||||
\(223\) | −9.01350 | + | 9.01350i | −0.603589 | + | 0.603589i | −0.941263 | − | 0.337674i | \(-0.890360\pi\) |
0.337674 | + | 0.941263i | \(0.390360\pi\) | |||||||
\(224\) | 18.7985 | − | 16.7948i | 1.25603 | − | 1.12215i | ||||
\(225\) | −16.9903 | + | 13.0879i | −1.13269 | + | 0.872527i | ||||
\(226\) | −6.41265 | − | 3.35878i | −0.426563 | − | 0.223423i | ||||
\(227\) | −15.9244 | − | 15.9244i | −1.05694 | − | 1.05694i | −0.998278 | − | 0.0586582i | \(-0.981318\pi\) |
−0.0586582 | − | 0.998278i | \(-0.518682\pi\) | |||||||
\(228\) | 1.19001 | − | 6.55550i | 0.0788105 | − | 0.434148i | ||||
\(229\) | 11.1968i | 0.739908i | 0.929050 | + | 0.369954i | \(0.120627\pi\) | ||||
−0.929050 | + | 0.369954i | \(0.879373\pi\) | |||||||
\(230\) | −7.22806 | − | 9.89058i | −0.476604 | − | 0.652166i | ||||
\(231\) | 21.2762i | 1.39987i | ||||||||
\(232\) | 6.13936 | + | 4.78508i | 0.403069 | + | 0.314156i | ||||
\(233\) | −6.39478 | − | 6.39478i | −0.418936 | − | 0.418936i | 0.465901 | − | 0.884837i | \(-0.345730\pi\) |
−0.884837 | + | 0.465901i | \(0.845730\pi\) | |||||||
\(234\) | −2.81455 | + | 5.37358i | −0.183993 | + | 0.351282i | ||||
\(235\) | −25.5801 | + | 8.71010i | −1.66866 | + | 0.568184i | ||||
\(236\) | −11.5656 | + | 8.01173i | −0.752855 | + | 0.521519i | ||||
\(237\) | 12.7123 | − | 12.7123i | 0.825752 | − | 0.825752i | ||||
\(238\) | 21.8293 | − | 6.82233i | 1.41499 | − | 0.442226i | ||||
\(239\) | −7.21067 | −0.466419 | −0.233210 | − | 0.972426i | \(-0.574923\pi\) | ||||
−0.233210 | + | 0.972426i | \(0.574923\pi\) | |||||||
\(240\) | −24.1369 | − | 0.747477i | −1.55803 | − | 0.0482494i | ||||
\(241\) | 12.2443 | 0.788728 | 0.394364 | − | 0.918954i | \(-0.370965\pi\) | ||||
0.394364 | + | 0.918954i | \(0.370965\pi\) | |||||||
\(242\) | −10.6268 | + | 3.32119i | −0.683115 | + | 0.213494i | ||||
\(243\) | −14.0082 | + | 14.0082i | −0.898626 | + | 0.898626i | ||||
\(244\) | −13.5603 | + | 9.39349i | −0.868106 | + | 0.601356i | ||||
\(245\) | −25.7978 | − | 12.6920i | −1.64816 | − | 0.810860i | ||||
\(246\) | −20.5976 | + | 39.3254i | −1.31326 | + | 2.50730i | ||||
\(247\) | −0.872482 | − | 0.872482i | −0.0555147 | − | 0.0555147i | ||||
\(248\) | 9.16383 | + | 7.14238i | 0.581904 | + | 0.453541i | ||||
\(249\) | − | 14.9888i | − | 0.949879i | ||||||
\(250\) | −13.8600 | + | 7.60923i | −0.876583 | + | 0.481250i | ||||
\(251\) | − | 2.83819i | − | 0.179145i | −0.995980 | − | 0.0895726i | \(-0.971450\pi\) | ||
0.995980 | − | 0.0895726i | \(-0.0285501\pi\) | |||||||
\(252\) | −6.82799 | + | 37.6138i | −0.430123 | + | 2.36945i | ||||
\(253\) | 4.84412 | + | 4.84412i | 0.304547 | + | 0.304547i | ||||
\(254\) | 8.47122 | + | 4.43701i | 0.531532 | + | 0.278403i | ||||
\(255\) | −19.6589 | − | 9.67172i | −1.23109 | − | 0.605667i | ||||
\(256\) | −12.0469 | − | 10.5296i | −0.752929 | − | 0.658101i | ||||
\(257\) | −9.01088 | + | 9.01088i | −0.562084 | + | 0.562084i | −0.929899 | − | 0.367815i | \(-0.880106\pi\) |
0.367815 | + | 0.929899i | \(0.380106\pi\) | |||||||
\(258\) | 0.694564 | + | 2.22239i | 0.0432417 | + | 0.138360i | ||||
\(259\) | −9.77127 | −0.607157 | ||||||||
\(260\) | −2.65919 | + | 3.59565i | −0.164916 | + | 0.222993i | ||||
\(261\) | −11.8044 | −0.730671 | ||||||||
\(262\) | −2.55722 | − | 8.18230i | −0.157985 | − | 0.505504i | ||||
\(263\) | −0.472686 | + | 0.472686i | −0.0291471 | + | 0.0291471i | −0.721530 | − | 0.692383i | \(-0.756561\pi\) |
0.692383 | + | 0.721530i | \(0.256561\pi\) | |||||||
\(264\) | 13.4018 | − | 1.66139i | 0.824823 | − | 0.102252i | ||||
\(265\) | 30.5734 | − | 10.4103i | 1.87811 | − | 0.639501i | ||||
\(266\) | −6.88826 | − | 3.60789i | −0.422346 | − | 0.221214i | ||||
\(267\) | −15.3255 | − | 15.3255i | −0.937906 | − | 0.937906i | ||||
\(268\) | −3.94982 | − | 0.717007i | −0.241274 | − | 0.0437982i | ||||
\(269\) | 6.52851i | 0.398050i | 0.979994 | + | 0.199025i | \(0.0637775\pi\) | ||||
−0.979994 | + | 0.199025i | \(0.936222\pi\) | |||||||
\(270\) | 8.88777 | − | 6.49520i | 0.540892 | − | 0.395285i | ||||
\(271\) | − | 22.4977i | − | 1.36664i | −0.730119 | − | 0.683320i | \(-0.760535\pi\) | ||
0.730119 | − | 0.683320i | \(-0.239465\pi\) | |||||||
\(272\) | −6.00193 | − | 13.2174i | −0.363920 | − | 0.801425i | ||||
\(273\) | 8.50736 | + | 8.50736i | 0.514889 | + | 0.514889i | ||||
\(274\) | 11.5621 | − | 22.0745i | 0.698489 | − | 1.33357i | ||||
\(275\) | 7.00478 | − | 5.39589i | 0.422404 | − | 0.325385i | ||||
\(276\) | 11.9115 | + | 17.1952i | 0.716990 | + | 1.03503i | ||||
\(277\) | −21.0843 | + | 21.0843i | −1.26683 | + | 1.26683i | −0.319114 | + | 0.947716i | \(0.603385\pi\) |
−0.947716 | + | 0.319114i | \(0.896615\pi\) | |||||||
\(278\) | −15.8796 | + | 4.96285i | −0.952395 | + | 0.297652i | ||||
\(279\) | −17.6196 | −1.05486 | ||||||||
\(280\) | −9.23581 | + | 26.6273i | −0.551945 | + | 1.59128i | ||||
\(281\) | −3.11270 | −0.185688 | −0.0928440 | − | 0.995681i | \(-0.529596\pi\) | ||||
−0.0928440 | + | 0.995681i | \(0.529596\pi\) | |||||||
\(282\) | 44.0414 | − | 13.7643i | 2.62263 | − | 0.819650i | ||||
\(283\) | 1.41066 | − | 1.41066i | 0.0838550 | − | 0.0838550i | −0.663935 | − | 0.747790i | \(-0.731115\pi\) |
0.747790 | + | 0.663935i | \(0.231115\pi\) | |||||||
\(284\) | −13.0006 | − | 18.7674i | −0.771441 | − | 1.11364i | ||||
\(285\) | 2.40104 | + | 7.05148i | 0.142226 | + | 0.417693i | ||||
\(286\) | 1.16038 | − | 2.21543i | 0.0686149 | − | 0.131001i | ||||
\(287\) | 36.6359 | + | 36.6359i | 2.16255 | + | 2.16255i | ||||
\(288\) | 24.2259 | + | 1.36377i | 1.42752 | + | 0.0803611i | ||||
\(289\) | 3.82975i | 0.225279i | ||||||||
\(290\) | −8.59925 | − | 1.33747i | −0.504965 | − | 0.0785389i | ||||
\(291\) | 4.59273i | 0.269231i | ||||||||
\(292\) | −15.3463 | − | 2.78581i | −0.898077 | − | 0.163027i | ||||
\(293\) | −0.0447969 | − | 0.0447969i | −0.00261706 | − | 0.00261706i | 0.705797 | − | 0.708414i | \(-0.250589\pi\) |
−0.708414 | + | 0.705797i | \(0.750589\pi\) | |||||||
\(294\) | 43.4894 | + | 22.7786i | 2.53635 | + | 1.32848i | ||||
\(295\) | 6.94402 | − | 14.1145i | 0.404296 | − | 0.821778i | ||||
\(296\) | 0.763007 | + | 6.15487i | 0.0443489 | + | 0.357744i | ||||
\(297\) | −4.35297 | + | 4.35297i | −0.252585 | + | 0.252585i | ||||
\(298\) | −3.26402 | − | 10.4438i | −0.189079 | − | 0.604996i | ||||
\(299\) | 3.87387 | 0.224032 | ||||||||
\(300\) | 23.9875 | − | 12.3909i | 1.38492 | − | 0.715388i | ||||
\(301\) | 2.71746 | 0.156632 | ||||||||
\(302\) | 7.92392 | + | 25.3541i | 0.455970 | + | 1.45896i | ||||
\(303\) | 0.713155 | − | 0.713155i | 0.0409697 | − | 0.0409697i | ||||
\(304\) | −1.73471 | + | 4.62060i | −0.0994925 | + | 0.265010i | ||||
\(305\) | 8.14163 | − | 16.5488i | 0.466188 | − | 0.947579i | ||||
\(306\) | 19.5012 | + | 10.2142i | 1.11481 | + | 0.583908i | ||||
\(307\) | −0.114902 | − | 0.114902i | −0.00655779 | − | 0.00655779i | 0.703820 | − | 0.710378i | \(-0.251476\pi\) |
−0.710378 | + | 0.703820i | \(0.751476\pi\) | |||||||
\(308\) | 2.81505 | − | 15.5074i | 0.160402 | − | 0.883619i | ||||
\(309\) | 1.00325i | 0.0570730i | ||||||||
\(310\) | −12.8355 | − | 1.99636i | −0.729010 | − | 0.113385i | ||||
\(311\) | − | 21.1090i | − | 1.19698i | −0.801129 | − | 0.598492i | \(-0.795767\pi\) | ||
0.801129 | − | 0.598492i | \(-0.204233\pi\) | |||||||
\(312\) | 4.69443 | − | 6.02305i | 0.265770 | − | 0.340988i | ||||
\(313\) | −3.33321 | − | 3.33321i | −0.188404 | − | 0.188404i | 0.606602 | − | 0.795006i | \(-0.292532\pi\) |
−0.795006 | + | 0.606602i | \(0.792532\pi\) | |||||||
\(314\) | −3.69960 | + | 7.06334i | −0.208780 | + | 0.398608i | ||||
\(315\) | −13.7766 | − | 40.4596i | −0.776222 | − | 2.27964i | ||||
\(316\) | −10.9475 | + | 7.58355i | −0.615843 | + | 0.426608i | ||||
\(317\) | 14.6974 | − | 14.6974i | 0.825488 | − | 0.825488i | −0.161401 | − | 0.986889i | \(-0.551601\pi\) |
0.986889 | + | 0.161401i | \(0.0516013\pi\) | |||||||
\(318\) | −52.6383 | + | 16.4511i | −2.95181 | + | 0.922530i | ||||
\(319\) | 4.86671 | 0.272484 | ||||||||
\(320\) | 17.4936 | + | 3.73835i | 0.977920 | + | 0.208980i | ||||
\(321\) | 4.97234 | 0.277529 | ||||||||
\(322\) | 23.3017 | − | 7.28250i | 1.29856 | − | 0.405838i | ||||
\(323\) | −3.16631 | + | 3.16631i | −0.176178 | + | 0.176178i | ||||
\(324\) | 5.70412 | − | 3.95137i | 0.316895 | − | 0.219520i | ||||
\(325\) | 0.643315 | − | 4.95844i | 0.0356847 | − | 0.275045i | ||||
\(326\) | 6.43125 | − | 12.2787i | 0.356194 | − | 0.680052i | ||||
\(327\) | 32.3486 | + | 32.3486i | 1.78888 | + | 1.78888i | ||||
\(328\) | 20.2160 | − | 25.9375i | 1.11624 | − | 1.43216i | ||||
\(329\) | − | 53.8523i | − | 2.96897i | ||||||
\(330\) | −12.1901 | + | 8.90854i | −0.671042 | + | 0.490399i | ||||
\(331\) | − | 4.25750i | − | 0.234013i | −0.993131 | − | 0.117007i | \(-0.962670\pi\) | ||
0.993131 | − | 0.117007i | \(-0.0373299\pi\) | |||||||
\(332\) | −1.98317 | + | 10.9248i | −0.108840 | + | 0.599576i | ||||
\(333\) | −6.65062 | − | 6.65062i | −0.364452 | − | 0.364452i | ||||
\(334\) | 3.80239 | + | 1.99159i | 0.208057 | + | 0.108975i | ||||
\(335\) | 4.24866 | − | 1.44668i | 0.232129 | − | 0.0790405i | ||||
\(336\) | 16.9147 | − | 45.0544i | 0.922775 | − | 2.45792i | ||||
\(337\) | 4.55389 | − | 4.55389i | 0.248066 | − | 0.248066i | −0.572110 | − | 0.820177i | \(-0.693875\pi\) |
0.820177 | + | 0.572110i | \(0.193875\pi\) | |||||||
\(338\) | −0.421862 | − | 1.34983i | −0.0229462 | − | 0.0734209i | ||||
\(339\) | −13.8201 | −0.750602 | ||||||||
\(340\) | 13.0489 | + | 9.65041i | 0.707678 | + | 0.523367i | ||||
\(341\) | 7.26423 | 0.393380 | ||||||||
\(342\) | −2.23271 | − | 7.14400i | −0.120731 | − | 0.386303i | ||||
\(343\) | 18.4580 | − | 18.4580i | 0.996639 | − | 0.996639i | ||||
\(344\) | −0.212198 | − | 1.71171i | −0.0114409 | − | 0.0922894i | ||||
\(345\) | −20.9849 | − | 10.3241i | −1.12979 | − | 0.555830i | ||||
\(346\) | −2.48397 | − | 1.30104i | −0.133539 | − | 0.0699445i | ||||
\(347\) | −20.5579 | − | 20.5579i | −1.10360 | − | 1.10360i | −0.993972 | − | 0.109633i | \(-0.965033\pi\) |
−0.109633 | − | 0.993972i | \(-0.534967\pi\) | |||||||
\(348\) | 14.6213 | + | 2.65418i | 0.783782 | + | 0.142279i | ||||
\(349\) | 25.9580i | 1.38950i | 0.719250 | + | 0.694751i | \(0.244485\pi\) | ||||
−0.719250 | + | 0.694751i | \(0.755515\pi\) | |||||||
\(350\) | −5.45178 | − | 31.0349i | −0.291410 | − | 1.65889i | ||||
\(351\) | 3.48109i | 0.185807i | ||||||||
\(352\) | −9.98787 | − | 0.562258i | −0.532355 | − | 0.0299685i | ||||
\(353\) | −2.32243 | − | 2.32243i | −0.123611 | − | 0.123611i | 0.642595 | − | 0.766206i | \(-0.277858\pi\) |
−0.766206 | + | 0.642595i | \(0.777858\pi\) | |||||||
\(354\) | −12.4626 | + | 23.7939i | −0.662381 | + | 1.26463i | ||||
\(355\) | 22.9034 | + | 11.2680i | 1.21559 | + | 0.598043i | ||||
\(356\) | 9.14247 | + | 13.1979i | 0.484550 | + | 0.699487i | ||||
\(357\) | 30.8739 | − | 30.8739i | 1.63402 | − | 1.63402i | ||||
\(358\) | 14.4354 | − | 4.51149i | 0.762933 | − | 0.238439i | ||||
\(359\) | 16.7930 | 0.886300 | 0.443150 | − | 0.896448i | \(-0.353861\pi\) | ||||
0.443150 | + | 0.896448i | \(0.353861\pi\) | |||||||
\(360\) | −24.4095 | + | 11.8371i | −1.28649 | + | 0.623872i | ||||
\(361\) | −17.4776 | −0.919871 | ||||||||
\(362\) | −18.0627 | + | 5.64514i | −0.949355 | + | 0.296702i | ||||
\(363\) | −15.0298 | + | 15.0298i | −0.788860 | + | 0.788860i | ||||
\(364\) | −5.07509 | − | 7.32630i | −0.266007 | − | 0.384002i | ||||
\(365\) | 16.5074 | − | 5.62082i | 0.864038 | − | 0.294207i | ||||
\(366\) | −14.6120 | + | 27.8975i | −0.763782 | + | 1.45823i | ||||
\(367\) | 4.33130 | + | 4.33130i | 0.226092 | + | 0.226092i | 0.811058 | − | 0.584966i | \(-0.198892\pi\) |
−0.584966 | + | 0.811058i | \(0.698892\pi\) | |||||||
\(368\) | −6.40676 | − | 14.1090i | −0.333976 | − | 0.735481i | ||||
\(369\) | 49.8710i | 2.59618i | ||||||||
\(370\) | −4.09131 | − | 5.59838i | −0.212697 | − | 0.291046i | ||||
\(371\) | 64.3643i | 3.34163i | ||||||||
\(372\) | 21.8242 | + | 3.96173i | 1.13153 | + | 0.205406i | ||||
\(373\) | −15.0638 | − | 15.0638i | −0.779976 | − | 0.779976i | 0.199850 | − | 0.979826i | \(-0.435954\pi\) |
−0.979826 | + | 0.199850i | \(0.935954\pi\) | |||||||
\(374\) | −8.03997 | − | 4.21113i | −0.415737 | − | 0.217752i | ||||
\(375\) | −16.6994 | + | 25.1456i | −0.862353 | + | 1.29851i | ||||
\(376\) | −33.9213 | + | 4.20515i | −1.74936 | + | 0.216864i | ||||
\(377\) | 1.94597 | − | 1.94597i | 0.100222 | − | 0.100222i | ||||
\(378\) | 6.54412 | + | 20.9392i | 0.336593 | + | 1.07699i | ||||
\(379\) | 7.89852 | 0.405720 | 0.202860 | − | 0.979208i | \(-0.434976\pi\) | ||||
0.202860 | + | 0.979208i | \(0.434976\pi\) | |||||||
\(380\) | −0.817052 | − | 5.45724i | −0.0419139 | − | 0.279950i | ||||
\(381\) | 18.2565 | 0.935310 | ||||||||
\(382\) | −9.30972 | − | 29.7882i | −0.476327 | − | 1.52410i | ||||
\(383\) | 5.61005 | − | 5.61005i | 0.286660 | − | 0.286660i | −0.549098 | − | 0.835758i | \(-0.685029\pi\) |
0.835758 | + | 0.549098i | \(0.185029\pi\) | |||||||
\(384\) | −29.7003 | − | 7.13635i | −1.51564 | − | 0.364175i | ||||
\(385\) | 5.67982 | + | 16.6807i | 0.289471 | + | 0.850128i | ||||
\(386\) | 19.6630 | + | 10.2990i | 1.00082 | + | 0.524204i | ||||
\(387\) | 1.84959 | + | 1.84959i | 0.0940197 | + | 0.0940197i | ||||
\(388\) | 0.607662 | − | 3.34747i | 0.0308494 | − | 0.169942i | ||||
\(389\) | − | 1.00399i | − | 0.0509041i | −0.999676 | − | 0.0254520i | \(-0.991897\pi\) | ||
0.999676 | − | 0.0254520i | \(-0.00810251\pi\) | |||||||
\(390\) | −1.31213 | + | 8.43634i | −0.0664424 | + | 0.427191i | ||||
\(391\) | − | 14.0586i | − | 0.710974i | ||||||
\(392\) | −28.6839 | − | 22.3565i | −1.44876 | − | 1.12918i | ||||
\(393\) | −11.5725 | − | 11.5725i | −0.583755 | − | 0.583755i | ||||
\(394\) | −4.02299 | + | 7.68076i | −0.202675 | + | 0.386951i | ||||
\(395\) | 6.57290 | − | 13.3602i | 0.330719 | − | 0.672222i | ||||
\(396\) | 12.4708 | − | 8.63882i | 0.626683 | − | 0.434117i | ||||
\(397\) | 22.2875 | − | 22.2875i | 1.11858 | − | 1.11858i | 0.126630 | − | 0.991950i | \(-0.459584\pi\) |
0.991950 | − | 0.126630i | \(-0.0404160\pi\) | |||||||
\(398\) | −25.9840 | + | 8.12079i | −1.30246 | + | 0.407059i | ||||
\(399\) | −14.8450 | −0.743182 | ||||||||
\(400\) | −19.1230 | + | 5.85746i | −0.956151 | + | 0.292873i | ||||
\(401\) | −16.2164 | −0.809810 | −0.404905 | − | 0.914359i | \(-0.632695\pi\) | ||||
−0.404905 | + | 0.914359i | \(0.632695\pi\) | |||||||
\(402\) | −7.31493 | + | 2.28614i | −0.364836 | + | 0.114022i | ||||
\(403\) | 2.90462 | − | 2.90462i | 0.144690 | − | 0.144690i | ||||
\(404\) | −0.614149 | + | 0.425434i | −0.0305550 | + | 0.0211661i | ||||
\(405\) | −3.42477 | + | 6.96123i | −0.170178 | + | 0.345906i | ||||
\(406\) | 8.04698 | − | 15.3634i | 0.399365 | − | 0.762475i | ||||
\(407\) | 2.74192 | + | 2.74192i | 0.135912 | + | 0.135912i | ||||
\(408\) | −21.8582 | − | 17.0365i | −1.08214 | − | 0.843431i | ||||
\(409\) | 26.1902i | 1.29502i | 0.762056 | + | 0.647511i | \(0.224190\pi\) | ||||
−0.762056 | + | 0.647511i | \(0.775810\pi\) | |||||||
\(410\) | −5.65054 | + | 36.3301i | −0.279060 | + | 1.79421i | ||||
\(411\) | − | 47.5732i | − | 2.34661i | ||||||
\(412\) | 0.132740 | − | 0.731232i | 0.00653962 | − | 0.0360252i | ||||
\(413\) | 22.1666 | + | 22.1666i | 1.09075 | + | 1.09075i | ||||
\(414\) | 20.8166 | + | 10.9032i | 1.02308 | + | 0.535862i | ||||
\(415\) | −4.00136 | − | 11.7513i | −0.196419 | − | 0.576851i | ||||
\(416\) | −4.21850 | + | 3.76886i | −0.206829 | + | 0.184783i | ||||
\(417\) | −22.4590 | + | 22.4590i | −1.09982 | + | 1.09982i | ||||
\(418\) | 0.920505 | + | 2.94533i | 0.0450234 | + | 0.144061i | ||||
\(419\) | −34.7358 | −1.69696 | −0.848478 | − | 0.529231i | \(-0.822480\pi\) | ||||
−0.848478 | + | 0.529231i | \(0.822480\pi\) | |||||||
\(420\) | 7.96688 | + | 53.2122i | 0.388744 | + | 2.59649i | ||||
\(421\) | −19.0536 | −0.928615 | −0.464307 | − | 0.885674i | \(-0.653697\pi\) | ||||
−0.464307 | + | 0.885674i | \(0.653697\pi\) | |||||||
\(422\) | −3.28422 | − | 10.5085i | −0.159873 | − | 0.511546i | ||||
\(423\) | 36.6535 | − | 36.6535i | 1.78215 | − | 1.78215i | ||||
\(424\) | 40.5427 | − | 5.02600i | 1.96893 | − | 0.244084i | ||||
\(425\) | −17.9946 | − | 2.33465i | −0.872866 | − | 0.113247i | ||||
\(426\) | −38.6101 | − | 20.2230i | −1.87066 | − | 0.979806i | ||||
\(427\) | 25.9896 | + | 25.9896i | 1.25772 | + | 1.25772i | ||||
\(428\) | −3.62415 | − | 0.657889i | −0.175180 | − | 0.0318003i | ||||
\(429\) | − | 4.77452i | − | 0.230516i | ||||||
\(430\) | 1.13782 | + | 1.55695i | 0.0548707 | + | 0.0750828i | ||||
\(431\) | − | 26.6616i | − | 1.28425i | −0.766602 | − | 0.642123i | \(-0.778054\pi\) | ||
0.766602 | − | 0.642123i | \(-0.221946\pi\) | |||||||
\(432\) | 12.6784 | − | 5.75717i | 0.609992 | − | 0.276992i | ||||
\(433\) | 11.9113 | + | 11.9113i | 0.572419 | + | 0.572419i | 0.932804 | − | 0.360384i | \(-0.117355\pi\) |
−0.360384 | + | 0.932804i | \(0.617355\pi\) | |||||||
\(434\) | 12.0112 | − | 22.9320i | 0.576557 | − | 1.10077i | ||||
\(435\) | −15.7275 | + | 5.35525i | −0.754076 | + | 0.256764i | ||||
\(436\) | −19.2977 | − | 27.8577i | −0.924190 | − | 1.33414i | ||||
\(437\) | −3.37988 | + | 3.37988i | −0.161682 | + | 0.161682i | ||||
\(438\) | −28.4209 | + | 8.88238i | −1.35800 | + | 0.424417i | ||||
\(439\) | −28.3991 | −1.35542 | −0.677708 | − | 0.735331i | \(-0.737026\pi\) | ||||
−0.677708 | + | 0.735331i | \(0.737026\pi\) | |||||||
\(440\) | 10.0636 | − | 4.88023i | 0.479762 | − | 0.232656i | ||||
\(441\) | 55.1516 | 2.62627 | ||||||||
\(442\) | −4.89864 | + | 1.53097i | −0.233004 | + | 0.0728209i | ||||
\(443\) | 2.27026 | − | 2.27026i | 0.107863 | − | 0.107863i | −0.651115 | − | 0.758979i | \(-0.725699\pi\) |
0.758979 | + | 0.651115i | \(0.225699\pi\) | |||||||
\(444\) | 6.74230 | + | 9.73305i | 0.319975 | + | 0.461910i | ||||
\(445\) | −16.1065 | − | 7.92407i | −0.763523 | − | 0.375637i | ||||
\(446\) | 8.36422 | − | 15.9691i | 0.396057 | − | 0.756159i | ||||
\(447\) | −14.7711 | − | 14.7711i | −0.698648 | − | 0.698648i | ||||
\(448\) | −18.2896 | + | 30.6005i | −0.864104 | + | 1.44574i | ||||
\(449\) | − | 22.6117i | − | 1.06711i | −0.845764 | − | 0.533557i | \(-0.820855\pi\) | ||
0.845764 | − | 0.533557i | \(-0.179145\pi\) | |||||||
\(450\) | 17.4127 | − | 24.8340i | 0.820841 | − | 1.17068i | ||||
\(451\) | − | 20.5609i | − | 0.968173i | ||||||
\(452\) | 10.0729 | + | 1.82852i | 0.473790 | + | 0.0860066i | ||||
\(453\) | 35.8591 | + | 35.8591i | 1.68481 | + | 1.68481i | ||||
\(454\) | 28.2130 | + | 14.7772i | 1.32410 | + | 0.693531i | ||||
\(455\) | 8.94092 | + | 4.39874i | 0.419157 | + | 0.206216i | ||||
\(456\) | 1.15920 | + | 9.35081i | 0.0542846 | + | 0.437892i | ||||
\(457\) | 6.14197 | − | 6.14197i | 0.287309 | − | 0.287309i | −0.548706 | − | 0.836015i | \(-0.684879\pi\) |
0.836015 | + | 0.548706i | \(0.184879\pi\) | |||||||
\(458\) | −4.72352 | − | 15.1138i | −0.220715 | − | 0.706221i | ||||
\(459\) | 12.6332 | 0.589666 | ||||||||
\(460\) | 13.9291 | + | 10.3013i | 0.649447 | + | 0.480302i | ||||
\(461\) | −28.7359 | −1.33836 | −0.669181 | − | 0.743099i | \(-0.733355\pi\) | ||||
−0.669181 | + | 0.743099i | \(0.733355\pi\) | |||||||
\(462\) | −8.97563 | − | 28.7192i | −0.417584 | − | 1.33614i | ||||
\(463\) | −16.3509 | + | 16.3509i | −0.759890 | + | 0.759890i | −0.976302 | − | 0.216412i | \(-0.930565\pi\) |
0.216412 | + | 0.976302i | \(0.430565\pi\) | |||||||
\(464\) | −10.3057 | − | 3.86907i | −0.478431 | − | 0.179617i | ||||
\(465\) | −23.4754 | + | 7.99343i | −1.08865 | + | 0.370687i | ||||
\(466\) | 11.3296 | + | 5.93414i | 0.524832 | + | 0.274894i | ||||
\(467\) | 4.30118 | + | 4.30118i | 0.199035 | + | 0.199035i | 0.799586 | − | 0.600551i | \(-0.205052\pi\) |
−0.600551 | + | 0.799586i | \(0.705052\pi\) | |||||||
\(468\) | 1.53224 | − | 8.44076i | 0.0708279 | − | 0.390174i | ||||
\(469\) | 8.94445i | 0.413016i | ||||||||
\(470\) | 30.8543 | − | 22.5484i | 1.42320 | − | 1.04008i | ||||
\(471\) | 15.2224i | 0.701410i | ||||||||
\(472\) | 12.2317 | − | 15.6935i | 0.563009 | − | 0.722353i | ||||
\(473\) | −0.762549 | − | 0.762549i | −0.0350620 | − | 0.0350620i | ||||
\(474\) | −11.7966 | + | 22.5222i | −0.541834 | + | 1.03448i | ||||
\(475\) | 3.76487 | + | 4.88743i | 0.172744 | + | 0.224251i | ||||
\(476\) | −26.5878 | + | 18.4179i | −1.21865 | + | 0.844184i | ||||
\(477\) | −43.8083 | + | 43.8083i | −2.00584 | + | 2.00584i | ||||
\(478\) | 9.73315 | − | 3.04190i | 0.445184 | − | 0.139133i | ||||
\(479\) | −4.08327 | −0.186569 | −0.0932847 | − | 0.995639i | \(-0.529737\pi\) | ||||
−0.0932847 | + | 0.995639i | \(0.529737\pi\) | |||||||
\(480\) | 32.8960 | − | 9.17346i | 1.50149 | − | 0.418709i | ||||
\(481\) | 2.19273 | 0.0999799 | ||||||||
\(482\) | −16.5277 | + | 5.16542i | −0.752818 | + | 0.235278i | ||||
\(483\) | 32.9564 | − | 32.9564i | 1.49957 | − | 1.49957i | ||||
\(484\) | 12.9432 | − | 8.96606i | 0.588329 | − | 0.407548i | ||||
\(485\) | 1.22606 | + | 3.60073i | 0.0556724 | + | 0.163501i | ||||
\(486\) | 12.9991 | − | 24.8181i | 0.589652 | − | 1.12577i | ||||
\(487\) | 28.6833 | + | 28.6833i | 1.29976 | + | 1.29976i | 0.928545 | + | 0.371219i | \(0.121060\pi\) |
0.371219 | + | 0.928545i | \(0.378940\pi\) | |||||||
\(488\) | 14.3412 | − | 18.4001i | 0.649198 | − | 0.832935i | ||||
\(489\) | − | 26.4620i | − | 1.19665i | ||||||
\(490\) | 40.1769 | + | 6.24885i | 1.81501 | + | 0.282294i | ||||
\(491\) | 7.08151i | 0.319584i | 0.987151 | + | 0.159792i | \(0.0510824\pi\) | ||||
−0.987151 | + | 0.159792i | \(0.948918\pi\) | |||||||
\(492\) | 11.2134 | − | 61.7719i | 0.505538 | − | 2.78489i | ||||
\(493\) | −7.06208 | − | 7.06208i | −0.318060 | − | 0.318060i | ||||
\(494\) | 1.54577 | + | 0.809633i | 0.0695473 | + | 0.0364271i | ||||
\(495\) | −7.48754 | + | 15.2193i | −0.336540 | + | 0.684055i | ||||
\(496\) | −15.3827 | − | 5.77511i | −0.690702 | − | 0.259310i | ||||
\(497\) | −35.9695 | + | 35.9695i | −1.61345 | + | 1.61345i | ||||
\(498\) | 6.32321 | + | 20.2323i | 0.283350 | + | 0.906632i | ||||
\(499\) | 20.2512 | 0.906566 | 0.453283 | − | 0.891367i | \(-0.350253\pi\) | ||||
0.453283 | + | 0.891367i | \(0.350253\pi\) | |||||||
\(500\) | 15.4986 | − | 16.1181i | 0.693117 | − | 0.720826i | ||||
\(501\) | 8.19461 | 0.366108 | ||||||||
\(502\) | 1.19732 | + | 3.83107i | 0.0534392 | + | 0.170989i | ||||
\(503\) | −6.46560 | + | 6.46560i | −0.288287 | + | 0.288287i | −0.836402 | − | 0.548116i | \(-0.815345\pi\) |
0.548116 | + | 0.836402i | \(0.315345\pi\) | |||||||
\(504\) | −6.65120 | − | 53.6526i | −0.296268 | − | 2.38987i | ||||
\(505\) | 0.368737 | − | 0.749499i | 0.0164086 | − | 0.0333523i | ||||
\(506\) | −8.58227 | − | 4.49517i | −0.381528 | − | 0.199835i | ||||
\(507\) | −1.90910 | − | 1.90910i | −0.0847863 | − | 0.0847863i | ||||
\(508\) | −13.3065 | − | 2.41551i | −0.590380 | − | 0.107171i | ||||
\(509\) | 9.49400i | 0.420814i | 0.977614 | + | 0.210407i | \(0.0674790\pi\) | ||||
−0.977614 | + | 0.210407i | \(0.932521\pi\) | |||||||
\(510\) | 30.6162 | + | 4.76184i | 1.35571 | + | 0.210858i | ||||
\(511\) | 34.7521i | 1.53734i | ||||||||
\(512\) | 20.7032 | + | 9.13105i | 0.914962 | + | 0.403539i | ||||
\(513\) | −3.03719 | − | 3.03719i | −0.134095 | − | 0.134095i | ||||
\(514\) | 8.36179 | − | 15.9645i | 0.368823 | − | 0.704163i | ||||
\(515\) | 0.267824 | + | 0.786556i | 0.0118017 | + | 0.0346598i | ||||
\(516\) | −1.87508 | − | 2.70683i | −0.0825459 | − | 0.119162i | ||||
\(517\) | −15.1115 | + | 15.1115i | −0.664605 | + | 0.664605i | ||||
\(518\) | 13.1895 | − | 4.12212i | 0.579514 | − | 0.181116i | ||||
\(519\) | −5.35327 | −0.234982 | ||||||||
\(520\) | 2.07257 | − | 5.97532i | 0.0908883 | − | 0.262035i | ||||
\(521\) | −9.55223 | −0.418491 | −0.209245 | − | 0.977863i | \(-0.567101\pi\) | ||||
−0.209245 | + | 0.977863i | \(0.567101\pi\) | |||||||
\(522\) | 15.9338 | − | 4.97981i | 0.697405 | − | 0.217960i | ||||
\(523\) | −9.29332 | + | 9.29332i | −0.406368 | + | 0.406368i | −0.880470 | − | 0.474102i | \(-0.842773\pi\) |
0.474102 | + | 0.880470i | \(0.342773\pi\) | |||||||
\(524\) | 6.90360 | + | 9.96590i | 0.301585 | + | 0.435362i | ||||
\(525\) | −36.7103 | − | 47.6562i | −1.60217 | − | 2.07989i | ||||
\(526\) | 0.438637 | − | 0.837453i | 0.0191255 | − | 0.0365147i | ||||
\(527\) | −10.5411 | − | 10.5411i | −0.459178 | − | 0.459178i | ||||
\(528\) | −17.3892 | + | 7.89629i | −0.756768 | + | 0.343642i | ||||
\(529\) | 7.99314i | 0.347528i | ||||||||
\(530\) | −36.8771 | + | 26.9499i | −1.60184 | + | 1.17063i | ||||
\(531\) | 30.1745i | 1.30946i | ||||||||
\(532\) | 10.8200 | + | 1.96414i | 0.469106 | + | 0.0851563i | ||||
\(533\) | −8.22132 | − | 8.22132i | −0.356105 | − | 0.356105i | ||||
\(534\) | 27.1520 | + | 14.2215i | 1.17498 | + | 0.615426i | ||||
\(535\) | 3.89835 | − | 1.32740i | 0.168540 | − | 0.0573884i | ||||
\(536\) | 5.63406 | − | 0.698443i | 0.243354 | − | 0.0301681i | ||||
\(537\) | 20.4164 | − | 20.4164i | 0.881033 | − | 0.881033i | ||||
\(538\) | −2.75413 | − | 8.81236i | −0.118739 | − | 0.379928i | ||||
\(539\) | −22.7380 | −0.979393 | ||||||||
\(540\) | −9.25687 | + | 12.5168i | −0.398352 | + | 0.538638i | ||||
\(541\) | 28.8757 | 1.24146 | 0.620732 | − | 0.784023i | \(-0.286835\pi\) | ||||
0.620732 | + | 0.784023i | \(0.286835\pi\) | |||||||
\(542\) | 9.49093 | + | 30.3681i | 0.407670 | + | 1.30442i | ||||
\(543\) | −25.5467 | + | 25.5467i | −1.09631 | + | 1.09631i | ||||
\(544\) | 13.6775 | + | 15.3093i | 0.586418 | + | 0.656380i | ||||
\(545\) | 33.9972 | + | 16.7259i | 1.45628 | + | 0.716458i | ||||
\(546\) | −15.0724 | − | 7.89454i | −0.645039 | − | 0.337855i | ||||
\(547\) | 17.8016 | + | 17.8016i | 0.761139 | + | 0.761139i | 0.976528 | − | 0.215389i | \(-0.0691019\pi\) |
−0.215389 | + | 0.976528i | \(0.569102\pi\) | |||||||
\(548\) | −6.29439 | + | 34.6743i | −0.268883 | + | 1.48121i | ||||
\(549\) | 35.3786i | 1.50992i | ||||||||
\(550\) | −7.17891 | + | 10.2386i | −0.306110 | + | 0.436574i | ||||
\(551\) | 3.39564i | 0.144659i | ||||||||
\(552\) | −23.3325 | − | 18.1856i | −0.993098 | − | 0.774030i | ||||
\(553\) | 20.9819 | + | 20.9819i | 0.892242 | + | 0.892242i | ||||
\(554\) | 19.5655 | − | 37.3547i | 0.831257 | − | 1.58705i | ||||
\(555\) | −11.8781 | − | 5.84376i | −0.504197 | − | 0.248054i | ||||
\(556\) | 19.3411 | − | 13.3980i | 0.820244 | − | 0.568201i | ||||
\(557\) | 0.213360 | − | 0.213360i | 0.00904034 | − | 0.00904034i | −0.702572 | − | 0.711613i | \(-0.747965\pi\) |
0.711613 | + | 0.702572i | \(0.247965\pi\) | |||||||
\(558\) | 23.7834 | − | 7.43304i | 1.00683 | − | 0.314666i | ||||
\(559\) | −0.609814 | −0.0257924 | ||||||||
\(560\) | 1.23373 | − | 39.8384i | 0.0521345 | − | 1.68348i | ||||
\(561\) | −17.3271 | −0.731552 | ||||||||
\(562\) | 4.20160 | − | 1.31313i | 0.177234 | − | 0.0553909i | ||||
\(563\) | −7.49585 | + | 7.49585i | −0.315912 | + | 0.315912i | −0.847195 | − | 0.531282i | \(-0.821710\pi\) |
0.531282 | + | 0.847195i | \(0.321710\pi\) | |||||||
\(564\) | −53.6417 | + | 37.1588i | −2.25872 | + | 1.56467i | ||||
\(565\) | −10.8350 | + | 3.68935i | −0.455832 | + | 0.155212i | ||||
\(566\) | −1.30904 | + | 2.49925i | −0.0550232 | + | 0.105051i | ||||
\(567\) | −10.9325 | − | 10.9325i | −0.459122 | − | 0.459122i | ||||
\(568\) | 25.4657 | + | 19.8482i | 1.06852 | + | 0.832814i | ||||
\(569\) | − | 22.3444i | − | 0.936725i | −0.883536 | − | 0.468362i | \(-0.844844\pi\) | ||
0.883536 | − | 0.468362i | \(-0.155156\pi\) | |||||||
\(570\) | −6.21574 | − | 8.50537i | −0.260349 | − | 0.356251i | ||||
\(571\) | 14.2843i | 0.597779i | 0.954288 | + | 0.298889i | \(0.0966161\pi\) | ||||
−0.954288 | + | 0.298889i | \(0.903384\pi\) | |||||||
\(572\) | −0.631714 | + | 3.47996i | −0.0264133 | + | 0.145505i | ||||
\(573\) | −42.1305 | − | 42.1305i | −1.76003 | − | 1.76003i | ||||
\(574\) | −64.9074 | − | 33.9969i | −2.70918 | − | 1.41900i | ||||
\(575\) | −19.2084 | − | 2.49212i | −0.801044 | − | 0.103929i | ||||
\(576\) | −33.2761 | + | 8.37911i | −1.38650 | + | 0.349130i | ||||
\(577\) | 2.28756 | − | 2.28756i | 0.0952324 | − | 0.0952324i | −0.657886 | − | 0.753118i | \(-0.728549\pi\) |
0.753118 | + | 0.657886i | \(0.228549\pi\) | |||||||
\(578\) | −1.61562 | − | 5.16950i | −0.0672011 | − | 0.215023i | ||||
\(579\) | 42.3762 | 1.76109 | ||||||||
\(580\) | 12.1717 | − | 1.82234i | 0.505403 | − | 0.0756685i | ||||
\(581\) | 24.7394 | 1.02636 | ||||||||
\(582\) | −1.93750 | − | 6.19939i | −0.0803118 | − | 0.256973i | ||||
\(583\) | 18.0613 | − | 18.0613i | 0.748024 | − | 0.748024i | ||||
\(584\) | 21.8901 | − | 2.71368i | 0.905820 | − | 0.112293i | ||||
\(585\) | 3.09155 | + | 9.07937i | 0.127820 | + | 0.375386i | ||||
\(586\) | 0.0793661 | + | 0.0415700i | 0.00327858 | + | 0.00171724i | ||||
\(587\) | 12.7907 | + | 12.7907i | 0.527928 | + | 0.527928i | 0.919954 | − | 0.392026i | \(-0.128226\pi\) |
−0.392026 | + | 0.919954i | \(0.628226\pi\) | |||||||
\(588\) | −68.3126 | − | 12.4007i | −2.81716 | − | 0.511397i | ||||
\(589\) | 5.06846i | 0.208842i | ||||||||
\(590\) | −3.41886 | + | 21.9815i | −0.140752 | + | 0.904966i | ||||
\(591\) | 16.5530i | 0.680899i | ||||||||
\(592\) | −3.62643 | − | 7.98612i | −0.149045 | − | 0.328228i | ||||
\(593\) | 20.9443 | + | 20.9443i | 0.860077 | + | 0.860077i | 0.991347 | − | 0.131269i | \(-0.0419053\pi\) |
−0.131269 | + | 0.991347i | \(0.541905\pi\) | |||||||
\(594\) | 4.03940 | − | 7.71211i | 0.165739 | − | 0.316432i | ||||
\(595\) | 15.9634 | − | 32.4474i | 0.654435 | − | 1.33021i | ||||
\(596\) | 8.81172 | + | 12.7204i | 0.360942 | + | 0.521049i | ||||
\(597\) | −36.7500 | + | 36.7500i | −1.50408 | + | 1.50408i | ||||
\(598\) | −5.22905 | + | 1.63424i | −0.213832 | + | 0.0668289i | ||||
\(599\) | −23.1160 | −0.944492 | −0.472246 | − | 0.881467i | \(-0.656557\pi\) | ||||
−0.472246 | + | 0.881467i | \(0.656557\pi\) | |||||||
\(600\) | −27.1518 | + | 26.8450i | −1.10847 | + | 1.09594i | ||||
\(601\) | 10.3817 | 0.423477 | 0.211738 | − | 0.977326i | \(-0.432088\pi\) | ||||
0.211738 | + | 0.977326i | \(0.432088\pi\) | |||||||
\(602\) | −3.66810 | + | 1.14639i | −0.149501 | + | 0.0467235i | ||||
\(603\) | −6.08786 | + | 6.08786i | −0.247917 | + | 0.247917i | ||||
\(604\) | −21.3918 | − | 30.8809i | −0.870422 | − | 1.25652i | ||||
\(605\) | −7.77116 | + | 15.7958i | −0.315943 | + | 0.642189i | ||||
\(606\) | −0.661783 | + | 1.26349i | −0.0268831 | + | 0.0513257i | ||||
\(607\) | 1.83398 | + | 1.83398i | 0.0744389 | + | 0.0744389i | 0.743346 | − | 0.668907i | \(-0.233238\pi\) |
−0.668907 | + | 0.743346i | \(0.733238\pi\) | |||||||
\(608\) | 0.392303 | − | 6.96882i | 0.0159100 | − | 0.282623i | ||||
\(609\) | − | 33.1101i | − | 1.34169i | ||||||
\(610\) | −4.00850 | + | 25.7726i | −0.162299 | + | 1.04350i | ||||
\(611\) | 12.0848i | 0.488898i | ||||||||
\(612\) | −30.6322 | − | 5.56063i | −1.23823 | − | 0.224775i | ||||
\(613\) | 5.33515 | + | 5.33515i | 0.215485 | + | 0.215485i | 0.806593 | − | 0.591108i | \(-0.201309\pi\) |
−0.591108 | + | 0.806593i | \(0.701309\pi\) | |||||||
\(614\) | 0.203570 | + | 0.106625i | 0.00821542 | + | 0.00430303i | ||||
\(615\) | 22.6248 | + | 66.4454i | 0.912321 | + | 2.67934i | ||||
\(616\) | 2.74216 | + | 22.1199i | 0.110485 | + | 0.891237i | ||||
\(617\) | 18.8364 | − | 18.8364i | 0.758323 | − | 0.758323i | −0.217694 | − | 0.976017i | \(-0.569853\pi\) |
0.976017 | + | 0.217694i | \(0.0698534\pi\) | |||||||
\(618\) | −0.423233 | − | 1.35422i | −0.0170249 | − | 0.0544745i | ||||
\(619\) | −9.61444 | −0.386437 | −0.193219 | − | 0.981156i | \(-0.561893\pi\) | ||||
−0.193219 | + | 0.981156i | \(0.561893\pi\) | |||||||
\(620\) | 18.1679 | − | 2.72009i | 0.729642 | − | 0.109241i | ||||
\(621\) | 13.4853 | 0.541146 | ||||||||
\(622\) | 8.90509 | + | 28.4935i | 0.357061 | + | 1.14249i | ||||
\(623\) | 25.2951 | − | 25.2951i | 1.01343 | − | 1.01343i | ||||
\(624\) | −3.79577 | + | 10.1105i | −0.151952 | + | 0.404743i | ||||
\(625\) | −6.37968 | + | 24.1723i | −0.255187 | + | 0.966892i | ||||
\(626\) | 5.90541 | + | 3.09310i | 0.236028 | + | 0.123625i | ||||
\(627\) | 4.16568 | + | 4.16568i | 0.166361 | + | 0.166361i | ||||
\(628\) | 2.01407 | − | 11.0950i | 0.0803700 | − | 0.442739i | ||||
\(629\) | − | 7.95761i | − | 0.317291i | ||||||
\(630\) | 35.6643 | + | 48.8016i | 1.42090 | + | 1.94430i | ||||
\(631\) | − | 40.8443i | − | 1.62599i | −0.582274 | − | 0.812993i | \(-0.697837\pi\) | ||
0.582274 | − | 0.812993i | \(-0.302163\pi\) | |||||||
\(632\) | 11.5780 | − | 14.8548i | 0.460547 | − | 0.590892i | ||||
\(633\) | −14.8625 | − | 14.8625i | −0.590731 | − | 0.590731i | ||||
\(634\) | −13.6387 | + | 26.0392i | −0.541661 | + | 1.03415i | ||||
\(635\) | 14.3132 | − | 4.87369i | 0.568004 | − | 0.193407i | ||||
\(636\) | 64.1126 | − | 44.4122i | 2.54223 | − | 1.76106i | ||||
\(637\) | −9.09184 | + | 9.09184i | −0.360232 | + | 0.360232i | ||||
\(638\) | −6.56922 | + | 2.05308i | −0.260078 | + | 0.0812822i | ||||
\(639\) | −48.9638 | −1.93698 | ||||||||
\(640\) | −25.1903 | + | 2.33374i | −0.995736 | + | 0.0922491i | ||||
\(641\) | 18.6486 | 0.736574 | 0.368287 | − | 0.929712i | \(-0.379944\pi\) | ||||
0.368287 | + | 0.929712i | \(0.379944\pi\) | |||||||
\(642\) | −6.71180 | + | 2.09764i | −0.264894 | + | 0.0827873i | ||||
\(643\) | 16.1537 | − | 16.1537i | 0.637040 | − | 0.637040i | −0.312784 | − | 0.949824i | \(-0.601262\pi\) |
0.949824 | + | 0.312784i | \(0.101262\pi\) | |||||||
\(644\) | −28.3811 | + | 19.6602i | −1.11837 | + | 0.774721i | ||||
\(645\) | 3.30338 | + | 1.62519i | 0.130071 | + | 0.0639919i | ||||
\(646\) | 2.93823 | − | 5.60972i | 0.115603 | − | 0.220711i | ||||
\(647\) | −2.84849 | − | 2.84849i | −0.111986 | − | 0.111986i | 0.648893 | − | 0.760879i | \(-0.275232\pi\) |
−0.760879 | + | 0.648893i | \(0.775232\pi\) | |||||||
\(648\) | −6.03264 | + | 7.74001i | −0.236985 | + | 0.304056i | ||||
\(649\) | − | 12.4404i | − | 0.488327i | ||||||
\(650\) | 1.22341 | + | 6.96443i | 0.0479862 | + | 0.273167i | ||||
\(651\) | − | 49.4214i | − | 1.93698i | ||||||
\(652\) | −3.50118 | + | 19.2872i | −0.137117 | + | 0.755343i | ||||
\(653\) | 21.9792 | + | 21.9792i | 0.860113 | + | 0.860113i | 0.991351 | − | 0.131238i | \(-0.0418953\pi\) |
−0.131238 | + | 0.991351i | \(0.541895\pi\) | |||||||
\(654\) | −57.3117 | − | 30.0184i | −2.24106 | − | 1.17381i | ||||
\(655\) | −12.1623 | − | 5.98356i | −0.475219 | − | 0.233797i | ||||
\(656\) | −16.3460 | + | 43.5395i | −0.638205 | + | 1.69993i | ||||
\(657\) | −23.6533 | + | 23.6533i | −0.922803 | + | 0.922803i | ||||
\(658\) | 22.7182 | + | 72.6913i | 0.885649 | + | 2.83380i | ||||
\(659\) | 42.7307 | 1.66455 | 0.832275 | − | 0.554363i | \(-0.187038\pi\) | ||||
0.832275 | + | 0.554363i | \(0.187038\pi\) | |||||||
\(660\) | 12.6963 | − | 17.1675i | 0.494204 | − | 0.668244i | ||||
\(661\) | 16.6982 | 0.649483 | 0.324742 | − | 0.945803i | \(-0.394723\pi\) | ||||
0.324742 | + | 0.945803i | \(0.394723\pi\) | |||||||
\(662\) | 1.79608 | + | 5.74689i | 0.0698064 | + | 0.223359i | ||||
\(663\) | −6.92830 | + | 6.92830i | −0.269073 | + | 0.269073i | ||||
\(664\) | −1.93182 | − | 15.5832i | −0.0749691 | − | 0.604745i | ||||
\(665\) | −11.6386 | + | 3.96297i | −0.451326 | + | 0.153678i | ||||
\(666\) | 11.7828 | + | 6.17154i | 0.456575 | + | 0.239142i | ||||
\(667\) | −7.53843 | − | 7.53843i | −0.291889 | − | 0.291889i | ||||
\(668\) | −5.97274 | − | 1.08423i | −0.231092 | − | 0.0419500i | ||||
\(669\) | − | 34.4154i | − | 1.33058i | ||||||
\(670\) | −5.12466 | + | 3.74511i | −0.197983 | + | 0.144686i | ||||
\(671\) | − | 14.5859i | − | 0.563083i | ||||||
\(672\) | −3.82526 | + | 67.9513i | −0.147563 | + | 2.62128i | ||||
\(673\) | −5.23052 | − | 5.23052i | −0.201622 | − | 0.201622i | 0.599073 | − | 0.800695i | \(-0.295536\pi\) |
−0.800695 | + | 0.599073i | \(0.795536\pi\) | |||||||
\(674\) | −4.22585 | + | 8.06808i | −0.162774 | + | 0.310771i | ||||
\(675\) | 2.23944 | − | 17.2608i | 0.0861961 | − | 0.664368i | ||||
\(676\) | 1.13888 | + | 1.64407i | 0.0438031 | + | 0.0632333i | ||||
\(677\) | −8.44260 | + | 8.44260i | −0.324475 | + | 0.324475i | −0.850481 | − | 0.526006i | \(-0.823689\pi\) |
0.526006 | + | 0.850481i | \(0.323689\pi\) | |||||||
\(678\) | 18.6547 | − | 5.83015i | 0.716429 | − | 0.223906i | ||||
\(679\) | −7.58040 | −0.290909 | ||||||||
\(680\) | −21.6849 | − | 7.52154i | −0.831579 | − | 0.288438i | ||||
\(681\) | 60.8025 | 2.32996 | ||||||||
\(682\) | −9.80545 | + | 3.06450i | −0.375470 | + | 0.117346i | ||||
\(683\) | −9.22992 | + | 9.22992i | −0.353173 | + | 0.353173i | −0.861289 | − | 0.508116i | \(-0.830342\pi\) |
0.508116 | + | 0.861289i | \(0.330342\pi\) | |||||||
\(684\) | 6.02755 | + | 8.70126i | 0.230469 | + | 0.332701i | ||||
\(685\) | −12.7000 | − | 37.2977i | −0.485241 | − | 1.42507i | ||||
\(686\) | −17.1284 | + | 32.7018i | −0.653965 | + | 1.24856i | ||||
\(687\) | −21.3759 | − | 21.3759i | −0.815542 | − | 0.815542i | ||||
\(688\) | 1.00854 | + | 2.22100i | 0.0384501 | + | 0.0846748i | ||||
\(689\) | − | 14.4437i | − | 0.550263i | ||||||
\(690\) | 32.6813 | + | 5.08303i | 1.24415 | + | 0.193508i | ||||
\(691\) | − | 11.7811i | − | 0.448175i | −0.974569 | − | 0.224088i | \(-0.928060\pi\) | ||
0.974569 | − | 0.224088i | \(-0.0719402\pi\) | |||||||
\(692\) | 3.90180 | + | 0.708289i | 0.148324 | + | 0.0269251i | ||||
\(693\) | −23.9016 | − | 23.9016i | −0.907947 | − | 0.907947i | ||||
\(694\) | 36.4222 | + | 19.0770i | 1.38257 | + | 0.724153i | ||||
\(695\) | −11.6125 | + | 23.6036i | −0.440485 | + | 0.895336i | ||||
\(696\) | −20.8559 | + | 2.58546i | −0.790540 | + | 0.0980017i | ||||
\(697\) | −29.8359 | + | 29.8359i | −1.13011 | + | 1.13011i | ||||
\(698\) | −10.9507 | − | 35.0389i | −0.414490 | − | 1.32624i | ||||
\(699\) | 24.4166 | 0.923521 | ||||||||
\(700\) | 20.4514 | + | 39.5919i | 0.772991 | + | 1.49643i | ||||
\(701\) | −40.8964 | −1.54464 | −0.772318 | − | 0.635236i | \(-0.780903\pi\) | ||||
−0.772318 | + | 0.635236i | \(0.780903\pi\) | |||||||
\(702\) | −1.46854 | − | 4.69887i | −0.0554265 | − | 0.177348i | ||||
\(703\) | −1.91312 | + | 1.91312i | −0.0721546 | + | 0.0721546i | ||||
\(704\) | 13.7191 | − | 3.45455i | 0.517058 | − | 0.130198i | ||||
\(705\) | 32.2067 | − | 65.4636i | 1.21297 | − | 2.46550i | ||||
\(706\) | 4.11462 | + | 2.15514i | 0.154856 | + | 0.0811096i | ||||
\(707\) | 1.17708 | + | 1.17708i | 0.0442685 | + | 0.0442685i | ||||
\(708\) | 6.78467 | − | 37.3751i | 0.254983 | − | 1.40464i | ||||
\(709\) | 10.0408i | 0.377091i | 0.982064 | + | 0.188546i | \(0.0603774\pi\) | ||||
−0.982064 | + | 0.188546i | \(0.939623\pi\) | |||||||
\(710\) | −35.6692 | − | 5.54775i | −1.33864 | − | 0.208203i | ||||
\(711\) | 28.5618i | 1.07115i | ||||||||
\(712\) | −17.9084 | − | 13.9580i | −0.671147 | − | 0.523099i | ||||
\(713\) | −11.2521 | − | 11.2521i | −0.421395 | − | 0.421395i | ||||
\(714\) | −28.6499 | + | 54.6990i | −1.07220 | + | 2.04706i | ||||
\(715\) | −1.27459 | − | 3.74325i | −0.0476668 | − | 0.139990i | ||||
\(716\) | −17.5820 | + | 12.1795i | −0.657071 | + | 0.455168i | ||||
\(717\) | 13.7659 | − | 13.7659i | 0.514097 | − | 0.514097i | ||||
\(718\) | −22.6676 | + | 7.08431i | −0.845948 | + | 0.264384i | ||||
\(719\) | −27.5425 | −1.02716 | −0.513581 | − | 0.858041i | \(-0.671681\pi\) | ||||
−0.513581 | + | 0.858041i | \(0.671681\pi\) | |||||||
\(720\) | 27.9550 | − | 26.2755i | 1.04182 | − | 0.979231i | ||||
\(721\) | −1.65589 | −0.0616685 | ||||||||
\(722\) | 23.5917 | − | 7.37311i | 0.877991 | − | 0.274399i | ||||
\(723\) | −23.3757 | + | 23.3757i | −0.869352 | + | 0.869352i | ||||
\(724\) | 22.0001 | − | 15.2399i | 0.817626 | − | 0.566387i | ||||
\(725\) | −10.9008 | + | 8.39710i | −0.404847 | + | 0.311860i | ||||
\(726\) | 13.9471 | − | 26.6281i | 0.517626 | − | 0.988262i | ||||
\(727\) | −21.2619 | − | 21.2619i | −0.788560 | − | 0.788560i | 0.192698 | − | 0.981258i | \(-0.438276\pi\) |
−0.981258 | + | 0.192698i | \(0.938276\pi\) | |||||||
\(728\) | 9.94118 | + | 7.74825i | 0.368444 | + | 0.287169i | ||||
\(729\) | − | 43.0776i | − | 1.59547i | ||||||
\(730\) | −19.9110 | + | 14.5510i | −0.736938 | + | 0.538556i | ||||
\(731\) | 2.21307i | 0.0818533i | ||||||||
\(732\) | 7.95479 | − | 43.8211i | 0.294018 | − | 1.61967i | ||||
\(733\) | −14.1192 | − | 14.1192i | −0.521503 | − | 0.521503i | 0.396522 | − | 0.918025i | \(-0.370217\pi\) |
−0.918025 | + | 0.396522i | \(0.870217\pi\) | |||||||
\(734\) | −7.67372 | − | 4.01930i | −0.283242 | − | 0.148355i | ||||
\(735\) | 73.4810 | − | 25.0205i | 2.71039 | − | 0.922894i | ||||
\(736\) | 14.6001 | + | 16.3419i | 0.538165 | + | 0.602371i | ||||
\(737\) | 2.50991 | − | 2.50991i | 0.0924537 | − | 0.0924537i | ||||
\(738\) | −21.0387 | − | 67.3172i | −0.774444 | − | 2.47798i | ||||
\(739\) | −1.11147 | −0.0408861 | −0.0204430 | − | 0.999791i | \(-0.506508\pi\) | ||||
−0.0204430 | + | 0.999791i | \(0.506508\pi\) | |||||||
\(740\) | 7.88430 | + | 5.83088i | 0.289833 | + | 0.214347i | ||||
\(741\) | 3.33132 | 0.122379 | ||||||||
\(742\) | −27.1528 | − | 86.8807i | −0.996812 | − | 3.18949i | ||||
\(743\) | 32.4947 | − | 32.4947i | 1.19211 | − | 1.19211i | 0.215642 | − | 0.976472i | \(-0.430816\pi\) |
0.976472 | − | 0.215642i | \(-0.0691844\pi\) | |||||||
\(744\) | −31.1302 | + | 3.85915i | −1.14129 | + | 0.141483i | ||||
\(745\) | −15.5238 | − | 7.63739i | −0.568750 | − | 0.279812i | ||||
\(746\) | 26.6884 | + | 13.9787i | 0.977133 | + | 0.511798i | ||||
\(747\) | 16.8384 | + | 16.8384i | 0.616084 | + | 0.616084i | ||||
\(748\) | 12.6291 | + | 2.29254i | 0.461765 | + | 0.0838237i | ||||
\(749\) | 8.20696i | 0.299876i | ||||||||
\(750\) | 11.9334 | − | 40.9870i | 0.435745 | − | 1.49663i | ||||
\(751\) | − | 22.7914i | − | 0.831668i | −0.909440 | − | 0.415834i | \(-0.863490\pi\) | ||
0.909440 | − | 0.415834i | \(-0.136510\pi\) | |||||||
\(752\) | 44.0138 | − | 19.9863i | 1.60502 | − | 0.728826i | ||||
\(753\) | 5.41840 | + | 5.41840i | 0.197458 | + | 0.197458i | ||||
\(754\) | −1.80579 | + | 3.44765i | −0.0657630 | + | 0.125556i | ||||
\(755\) | 37.6866 | + | 18.5410i | 1.37156 | + | 0.674775i | ||||
\(756\) | −17.6669 | − | 25.5035i | −0.642537 | − | 0.927554i | ||||
\(757\) | 20.7548 | − | 20.7548i | 0.754344 | − | 0.754344i | −0.220943 | − | 0.975287i | \(-0.570913\pi\) |
0.975287 | + | 0.220943i | \(0.0709133\pi\) | |||||||
\(758\) | −10.6616 | + | 3.33208i | −0.387248 | + | 0.121027i | ||||
\(759\) | −18.4958 | −0.671357 | ||||||||
\(760\) | 3.40508 | + | 7.02164i | 0.123515 | + | 0.254702i | ||||
\(761\) | 40.7964 | 1.47887 | 0.739433 | − | 0.673230i | \(-0.235093\pi\) | ||||
0.739433 | + | 0.673230i | \(0.235093\pi\) | |||||||
\(762\) | −24.6432 | + | 7.70173i | −0.892727 | + | 0.279004i | ||||
\(763\) | −53.3921 | + | 53.3921i | −1.93292 | + | 1.93292i | ||||
\(764\) | 25.1330 | + | 36.2816i | 0.909281 | + | 1.31262i | ||||
\(765\) | 32.9498 | − | 11.2195i | 1.19130 | − | 0.405641i | ||||
\(766\) | −5.20593 | + | 9.93926i | −0.188098 | + | 0.359120i | ||||
\(767\) | −4.97432 | − | 4.97432i | −0.179612 | − | 0.179612i | ||||
\(768\) | 43.1009 | − | 2.89659i | 1.55527 | − | 0.104522i | ||||
\(769\) | − | 9.81657i | − | 0.353994i | −0.984211 | − | 0.176997i | \(-0.943362\pi\) | ||
0.984211 | − | 0.176997i | \(-0.0566384\pi\) | |||||||
\(770\) | −14.7037 | − | 20.1200i | −0.529886 | − | 0.725074i | ||||
\(771\) | − | 34.4054i | − | 1.23908i | ||||||
\(772\) | −30.8864 | − | 5.60677i | −1.11163 | − | 0.201792i | ||||
\(773\) | 32.9413 | + | 32.9413i | 1.18481 | + | 1.18481i | 0.978482 | + | 0.206333i | \(0.0661530\pi\) |
0.206333 | + | 0.978482i | \(0.433847\pi\) | |||||||
\(774\) | −3.27689 | − | 1.71635i | −0.117785 | − | 0.0616930i | ||||
\(775\) | −16.2710 | + | 12.5338i | −0.584471 | + | 0.450228i | ||||
\(776\) | 0.591929 | + | 4.77485i | 0.0212490 | + | 0.171407i | ||||
\(777\) | 18.6544 | − | 18.6544i | 0.669221 | − | 0.669221i | ||||
\(778\) | 0.423543 | + | 1.35521i | 0.0151847 | + | 0.0485865i | ||||
\(779\) | 14.3459 | 0.513995 | ||||||||
\(780\) | −1.78782 | − | 11.9411i | −0.0640141 | − | 0.427561i | ||||
\(781\) | 20.1869 | 0.722343 | ||||||||
\(782\) | 5.93078 | + | 18.9767i | 0.212084 | + | 0.678604i | ||||
\(783\) | 6.77410 | − | 6.77410i | 0.242086 | − | 0.242086i | ||||
\(784\) | 48.1497 | + | 18.0768i | 1.71963 | + | 0.645601i | ||||
\(785\) | 4.06371 | + | 11.9344i | 0.145040 | + | 0.425959i | ||||
\(786\) | 20.5028 | + | 10.7389i | 0.731312 | + | 0.383043i | ||||
\(787\) | −7.24481 | − | 7.24481i | −0.258249 | − | 0.258249i | 0.566092 | − | 0.824342i | \(-0.308455\pi\) |
−0.824342 | + | 0.566092i | \(0.808455\pi\) | |||||||
\(788\) | 2.19012 | − | 12.0648i | 0.0780197 | − | 0.429792i | ||||
\(789\) | − | 1.80481i | − | 0.0642531i | ||||||
\(790\) | −3.23614 | + | 20.8067i | −0.115137 | + | 0.740271i | ||||
\(791\) | − | 22.8103i | − | 0.811040i | ||||||
\(792\) | −13.1891 | + | 16.9219i | −0.468654 | + | 0.601293i | ||||
\(793\) | −5.83222 | − | 5.83222i | −0.207108 | − | 0.207108i | ||||
\(794\) | −20.6821 | + | 39.4866i | −0.733979 | + | 1.40133i | ||||
\(795\) | −38.4934 | + | 78.2422i | −1.36522 | + | 2.77496i | ||||
\(796\) | 31.6481 | − | 21.9233i | 1.12174 | − | 0.777052i | ||||
\(797\) | 7.59384 | − | 7.59384i | 0.268988 | − | 0.268988i | −0.559705 | − | 0.828692i | \(-0.689085\pi\) |
0.828692 | + | 0.559705i | \(0.189085\pi\) | |||||||
\(798\) | 20.0382 | − | 6.26255i | 0.709346 | − | 0.221692i | ||||
\(799\) | 43.8567 | 1.55154 | ||||||||
\(800\) | 23.3417 | − | 15.9738i | 0.825255 | − | 0.564760i | ||||
\(801\) | 34.4332 | 1.21664 | ||||||||
\(802\) | 21.8894 | − | 6.84109i | 0.772941 | − | 0.241567i | ||||
\(803\) | 9.75181 | − | 9.75181i | 0.344134 | − | 0.344134i | ||||
\(804\) | 8.90946 | − | 6.17178i | 0.314213 | − | 0.217662i | ||||
\(805\) | 17.0401 | − | 34.6360i | 0.600586 | − | 1.22076i | ||||
\(806\) | −2.69539 | + | 5.14609i | −0.0949410 | + | 0.181263i | ||||
\(807\) | −12.4636 | − | 12.4636i | −0.438740 | − | 0.438740i | ||||
\(808\) | 0.649520 | − | 0.833348i | 0.0228500 | − | 0.0293171i | ||||
\(809\) | 11.9085i | 0.418681i | 0.977843 | + | 0.209340i | \(0.0671317\pi\) | ||||
−0.977843 | + | 0.209340i | \(0.932868\pi\) | |||||||
\(810\) | 1.68618 | − | 10.8412i | 0.0592462 | − | 0.380922i | ||||
\(811\) | − | 16.8007i | − | 0.589951i | −0.955505 | − | 0.294976i | \(-0.904688\pi\) | ||
0.955505 | − | 0.294976i | \(-0.0953115\pi\) | |||||||
\(812\) | −4.38079 | + | 24.1327i | −0.153735 | + | 0.846892i | ||||
\(813\) | 42.9505 | + | 42.9505i | 1.50634 | + | 1.50634i | ||||
\(814\) | −4.85783 | − | 2.54441i | −0.170267 | − | 0.0891815i | ||||
\(815\) | −7.06419 | − | 20.7464i | −0.247448 | − | 0.726714i | ||||
\(816\) | 36.6918 | + | 13.7752i | 1.28447 | + | 0.482227i | ||||
\(817\) | 0.532052 | − | 0.532052i | 0.0186141 | − | 0.0186141i | ||||
\(818\) | −11.0486 | − | 35.3523i | −0.386307 | − | 1.23606i | ||||
\(819\) | −19.1142 | −0.667906 | ||||||||
\(820\) | −7.69901 | − | 51.4230i | −0.268861 | − | 1.79577i | ||||
\(821\) | −8.44881 | −0.294865 | −0.147433 | − | 0.989072i | \(-0.547101\pi\) | ||||
−0.147433 | + | 0.989072i | \(0.547101\pi\) | |||||||
\(822\) | 20.0693 | + | 64.2156i | 0.699998 | + | 2.23978i | ||||
\(823\) | −15.5348 | + | 15.5348i | −0.541510 | + | 0.541510i | −0.923971 | − | 0.382462i | \(-0.875076\pi\) |
0.382462 | + | 0.923971i | \(0.375076\pi\) | |||||||
\(824\) | 0.129303 | + | 1.04303i | 0.00450448 | + | 0.0363358i | ||||
\(825\) | −3.07152 | + | 23.6742i | −0.106937 | + | 0.824228i | ||||
\(826\) | −39.2723 | − | 20.5698i | −1.36646 | − | 0.715716i | ||||
\(827\) | 16.6359 | + | 16.6359i | 0.578488 | + | 0.578488i | 0.934486 | − | 0.355999i | \(-0.115859\pi\) |
−0.355999 | + | 0.934486i | \(0.615859\pi\) | |||||||
\(828\) | −32.6984 | − | 5.93570i | −1.13635 | − | 0.206280i | ||||
\(829\) | − | 13.4606i | − | 0.467506i | −0.972296 | − | 0.233753i | \(-0.924899\pi\) | ||
0.972296 | − | 0.233753i | \(-0.0751008\pi\) | |||||||
\(830\) | 10.3586 | + | 14.1743i | 0.359552 | + | 0.491996i | ||||
\(831\) | − | 80.5040i | − | 2.79265i | ||||||
\(832\) | 4.10431 | − | 6.86693i | 0.142291 | − | 0.238068i | ||||
\(833\) | 32.9950 | + | 32.9950i | 1.14321 | + | 1.14321i | ||||
\(834\) | 20.8412 | − | 39.7904i | 0.721672 | − | 1.37783i | ||||
\(835\) | 6.42463 | − | 2.18760i | 0.222334 | − | 0.0757051i | ||||
\(836\) | −2.48505 | − | 3.58736i | −0.0859471 | − | 0.124072i | ||||
\(837\) | 10.1113 | − | 10.1113i | 0.349496 | − | 0.349496i | ||||
\(838\) | 46.8873 | − | 14.6537i | 1.61970 | − | 0.506204i | ||||
\(839\) | −32.7296 | −1.12995 | −0.564976 | − | 0.825107i | \(-0.691115\pi\) | ||||
−0.564976 | + | 0.825107i | \(0.691115\pi\) | |||||||
\(840\) | −33.2021 | − | 68.4663i | −1.14558 | − | 2.36231i | ||||
\(841\) | 21.4264 | 0.738842 | ||||||||
\(842\) | 25.7190 | − | 8.03798i | 0.886337 | − | 0.277007i | ||||
\(843\) | 5.94246 | − | 5.94246i | 0.204669 | − | 0.204669i | ||||
\(844\) | 8.86626 | + | 12.7992i | 0.305189 | + | 0.440565i | ||||
\(845\) | −2.00640 | − | 0.987103i | −0.0690221 | − | 0.0339574i | ||||
\(846\) | −34.0132 | + | 64.9386i | −1.16940 | + | 2.23263i | ||||
\(847\) | −24.8070 | − | 24.8070i | −0.852378 | − | 0.852378i | ||||
\(848\) | −52.6054 | + | 23.8877i | −1.80648 | + | 0.820305i | ||||
\(849\) | 5.38619i | 0.184854i | ||||||||
\(850\) | 25.2745 | − | 4.43986i | 0.866908 | − | 0.152286i | ||||
\(851\) | − | 8.49435i | − | 0.291183i | ||||||
\(852\) | 60.6482 | + | 11.0094i | 2.07777 | + | 0.377176i | ||||
\(853\) | −25.8348 | − | 25.8348i | −0.884566 | − | 0.884566i | 0.109429 | − | 0.993995i | \(-0.465098\pi\) |
−0.993995 | + | 0.109429i | \(0.965098\pi\) | |||||||
\(854\) | −46.0454 | − | 24.1174i | −1.57564 | − | 0.825281i | ||||
\(855\) | −10.6189 | − | 5.22427i | −0.363159 | − | 0.178666i | ||||
\(856\) | 5.16952 | − | 0.640855i | 0.176690 | − | 0.0219040i | ||||
\(857\) | 6.23001 | − | 6.23001i | 0.212813 | − | 0.212813i | −0.592648 | − | 0.805461i | \(-0.701918\pi\) |
0.805461 | + | 0.592648i | \(0.201918\pi\) | |||||||
\(858\) | 2.01418 | + | 6.44477i | 0.0687631 | + | 0.220021i | ||||
\(859\) | −35.7941 | −1.22128 | −0.610640 | − | 0.791909i | \(-0.709088\pi\) | ||||
−0.610640 | + | 0.791909i | \(0.709088\pi\) | |||||||
\(860\) | −2.19268 | − | 1.62161i | −0.0747698 | − | 0.0552964i | ||||
\(861\) | −139.883 | −4.76722 | ||||||||
\(862\) | 11.2475 | + | 35.9886i | 0.383092 | + | 1.22578i | ||||
\(863\) | −19.9831 | + | 19.9831i | −0.680234 | + | 0.680234i | −0.960053 | − | 0.279819i | \(-0.909726\pi\) |
0.279819 | + | 0.960053i | \(0.409726\pi\) | |||||||
\(864\) | −14.6850 | + | 13.1197i | −0.499593 | + | 0.446343i | ||||
\(865\) | −4.19700 | + | 1.42909i | −0.142702 | + | 0.0485905i | ||||
\(866\) | −21.1031 | − | 11.0533i | −0.717111 | − | 0.375605i | ||||
\(867\) | −7.31139 | − | 7.31139i | −0.248308 | − | 0.248308i | ||||
\(868\) | −6.53892 | + | 36.0213i | −0.221945 | + | 1.22264i | ||||
\(869\) | − | 11.7755i | − | 0.399457i | ||||||
\(870\) | 18.9702 | − | 13.8635i | 0.643151 | − | 0.470016i | ||||
\(871\) | − | 2.00719i | − | 0.0680110i | ||||||
\(872\) | 37.8006 | + | 29.4622i | 1.28009 | + | 0.997715i | ||||
\(873\) | −5.15945 | − | 5.15945i | −0.174621 | − | 0.174621i | ||||
\(874\) | 3.13641 | − | 5.98810i | 0.106091 | − | 0.202550i | ||||
\(875\) | −41.5033 | − | 27.5627i | −1.40307 | − | 0.931790i | ||||
\(876\) | 34.6161 | − | 23.9794i | 1.16957 | − | 0.810188i | ||||
\(877\) | −17.2030 | + | 17.2030i | −0.580904 | + | 0.580904i | −0.935152 | − | 0.354247i | \(-0.884737\pi\) |
0.354247 | + | 0.935152i | \(0.384737\pi\) | |||||||
\(878\) | 38.3339 | − | 11.9805i | 1.29371 | − | 0.404322i | ||||
\(879\) | 0.171044 | 0.00576916 | ||||||||
\(880\) | −11.5253 | + | 10.8329i | −0.388518 | + | 0.365177i | ||||
\(881\) | −2.37111 | −0.0798846 | −0.0399423 | − | 0.999202i | \(-0.512717\pi\) | ||||
−0.0399423 | + | 0.999202i | \(0.512717\pi\) | |||||||
\(882\) | −74.4451 | + | 23.2663i | −2.50670 | + | 0.783419i | ||||
\(883\) | −6.40247 | + | 6.40247i | −0.215460 | + | 0.215460i | −0.806582 | − | 0.591122i | \(-0.798685\pi\) |
0.591122 | + | 0.806582i | \(0.298685\pi\) | |||||||
\(884\) | 5.96645 | − | 4.13309i | 0.200673 | − | 0.139011i | ||||
\(885\) | 13.6892 | + | 40.2029i | 0.460157 | + | 1.35140i | ||||
\(886\) | −2.10672 | + | 4.02219i | −0.0707767 | + | 0.135128i | ||||
\(887\) | 3.71696 | + | 3.71696i | 0.124803 | + | 0.124803i | 0.766750 | − | 0.641946i | \(-0.221873\pi\) |
−0.641946 | + | 0.766750i | \(0.721873\pi\) | |||||||
\(888\) | −13.2069 | − | 10.2936i | −0.443196 | − | 0.345431i | ||||
\(889\) | 30.1328i | 1.01062i | ||||||||
\(890\) | 25.0839 | + | 3.90139i | 0.840814 | + | 0.130775i | ||||
\(891\) | 6.13556i | 0.205549i | ||||||||
\(892\) | −4.55349 | + | 25.0841i | −0.152462 | + | 0.839877i | ||||
\(893\) | −10.5438 | − | 10.5438i | −0.352833 | − | 0.352833i | ||||
\(894\) | 26.1697 | + | 13.7070i | 0.875247 | + | 0.458432i | ||||
\(895\) | 10.5563 | − | 21.4569i | 0.352859 | − | 0.717224i | ||||
\(896\) | 11.7787 | − | 49.0210i | 0.393499 | − | 1.63768i | ||||
\(897\) | −7.39562 | + | 7.39562i | −0.246932 | + | 0.246932i | ||||
\(898\) | 9.53902 | + | 30.5219i | 0.318321 | + | 1.01853i | ||||
\(899\) | −11.3046 | −0.377030 | ||||||||
\(900\) | −13.0276 | + | 40.8673i | −0.434253 | + | 1.36224i | ||||
\(901\) | −52.4175 | −1.74628 | ||||||||
\(902\) | 8.67384 | + | 27.7536i | 0.288807 | + | 0.924094i | ||||
\(903\) | −5.18791 | + | 5.18791i | −0.172643 | + | 0.172643i | ||||
\(904\) | −14.3681 | + | 1.78118i | −0.477875 | + | 0.0592412i | ||||
\(905\) | −13.2089 | + | 26.8486i | −0.439079 | + | 0.892477i | ||||
\(906\) | −63.5312 | − | 33.2760i | −2.11068 | − | 1.10552i | ||||
\(907\) | 13.3164 | + | 13.3164i | 0.442163 | + | 0.442163i | 0.892738 | − | 0.450576i | \(-0.148781\pi\) |
−0.450576 | + | 0.892738i | \(0.648781\pi\) | |||||||
\(908\) | −44.3166 | − | 8.04475i | −1.47070 | − | 0.266974i | ||||
\(909\) | 1.60231i | 0.0531452i | ||||||||
\(910\) | −13.9244 | − | 2.16570i | −0.461588 | − | 0.0717923i | ||||
\(911\) | 3.08331i | 0.102155i | 0.998695 | + | 0.0510773i | \(0.0162655\pi\) | ||||
−0.998695 | + | 0.0510773i | \(0.983735\pi\) | |||||||
\(912\) | −5.50947 | − | 12.1329i | −0.182437 | − | 0.401762i | ||||
\(913\) | −6.94214 | − | 6.94214i | −0.229751 | − | 0.229751i | ||||
\(914\) | −5.69954 | + | 10.8817i | −0.188524 | + | 0.359933i | ||||
\(915\) | 16.0501 | + | 47.1365i | 0.530600 | + | 1.55828i | ||||
\(916\) | 12.7519 | + | 18.4083i | 0.421333 | + | 0.608229i | ||||
\(917\) | 19.1006 | − | 19.1006i | 0.630759 | − | 0.630759i | ||||
\(918\) | −17.0526 | + | 5.32945i | −0.562820 | + | 0.175898i | ||||
\(919\) | 26.4761 | 0.873367 | 0.436684 | − | 0.899615i | \(-0.356153\pi\) | ||||
0.436684 | + | 0.899615i | \(0.356153\pi\) | |||||||
\(920\) | −23.1476 | − | 8.02887i | −0.763154 | − | 0.264704i | ||||
\(921\) | 0.438719 | 0.0144563 | ||||||||
\(922\) | 38.7884 | − | 12.1226i | 1.27743 | − | 0.399235i | ||||
\(923\) | 8.07177 | − | 8.07177i | 0.265686 | − | 0.265686i | ||||
\(924\) | 24.2311 | + | 34.9795i | 0.797144 | + | 1.15074i | ||||
\(925\) | −10.8725 | − | 1.41062i | −0.357487 | − | 0.0463808i | ||||
\(926\) | 15.1731 | − | 28.9687i | 0.498618 | − | 0.951970i | ||||
\(927\) | −1.12705 | − | 1.12705i | −0.0370171 | − | 0.0370171i | ||||
\(928\) | 15.5431 | + | 0.874987i | 0.510229 | + | 0.0287229i | ||||
\(929\) | − | 15.3901i | − | 0.504931i | −0.967606 | − | 0.252466i | \(-0.918759\pi\) | ||
0.967606 | − | 0.252466i | \(-0.0812415\pi\) | |||||||
\(930\) | 28.3156 | − | 20.6931i | 0.928506 | − | 0.678554i | ||||
\(931\) | − | 15.8649i | − | 0.519952i | ||||||
\(932\) | −17.7963 | − | 3.23055i | −0.582938 | − | 0.105820i | ||||
\(933\) | 40.2993 | + | 40.2993i | 1.31934 | + | 1.31934i | ||||
\(934\) | −7.62035 | − | 3.99135i | −0.249346 | − | 0.130601i | ||||
\(935\) | −13.5846 | + | 4.62558i | −0.444263 | + | 0.151273i | ||||
\(936\) | 1.49257 | + | 12.0400i | 0.0487862 | + | 0.393538i | ||||
\(937\) | 28.3894 | − | 28.3894i | 0.927443 | − | 0.927443i | −0.0700975 | − | 0.997540i | \(-0.522331\pi\) |
0.997540 | + | 0.0700975i | \(0.0223310\pi\) | |||||||
\(938\) | −3.77332 | − | 12.0735i | −0.123203 | − | 0.394212i | ||||
\(939\) | 12.7269 | 0.415326 | ||||||||
\(940\) | −32.1357 | + | 43.4527i | −1.04815 | + | 1.41727i | ||||
\(941\) | −38.8299 | −1.26582 | −0.632910 | − | 0.774225i | \(-0.718140\pi\) | ||||
−0.632910 | + | 0.774225i | \(0.718140\pi\) | |||||||
\(942\) | −6.42173 | − | 20.5476i | −0.209231 | − | 0.669476i | ||||
\(943\) | −31.8483 | + | 31.8483i | −1.03712 | + | 1.03712i | ||||
\(944\) | −9.89017 | + | 26.3436i | −0.321898 | + | 0.857412i | ||||
\(945\) | 31.1242 | + | 15.3124i | 1.01247 | + | 0.498113i | ||||
\(946\) | 1.35100 | + | 0.707619i | 0.0439248 | + | 0.0230067i | ||||
\(947\) | −33.4288 | − | 33.4288i | −1.08629 | − | 1.08629i | −0.995907 | − | 0.0903825i | \(-0.971191\pi\) |
−0.0903825 | − | 0.995907i | \(-0.528809\pi\) | |||||||
\(948\) | 6.42207 | − | 35.3776i | 0.208579 | − | 1.14901i | ||||
\(949\) | − | 7.79857i | − | 0.253152i | ||||||
\(950\) | −7.14374 | − | 5.00893i | −0.231774 | − | 0.162511i | ||||
\(951\) | 56.1177i | 1.81974i | ||||||||
\(952\) | 28.1191 | − | 36.0774i | 0.911344 | − | 1.16927i | ||||
\(953\) | 6.32624 | + | 6.32624i | 0.204927 | + | 0.204927i | 0.802107 | − | 0.597180i | \(-0.203712\pi\) |
−0.597180 | + | 0.802107i | \(0.703712\pi\) | |||||||
\(954\) | 40.6526 | − | 77.6146i | 1.31618 | − | 2.51287i | ||||
\(955\) | −44.2776 | − | 21.7836i | −1.43279 | − | 0.704900i | ||||
\(956\) | −11.8548 | + | 8.21209i | −0.383412 | + | 0.265598i | ||||
\(957\) | −9.29106 | + | 9.29106i | −0.300337 | + | 0.300337i | ||||
\(958\) | 5.51171 | − | 1.72258i | 0.178075 | − | 0.0556539i | ||||
\(959\) | 78.5206 | 2.53556 | ||||||||
\(960\) | −40.5339 | + | 26.2601i | −1.30823 | + | 0.847542i | ||||
\(961\) | 14.1263 | 0.455688 | ||||||||
\(962\) | −2.95981 | + | 0.925029i | −0.0954280 | + | 0.0298241i | ||||
\(963\) | −5.58590 | + | 5.58590i | −0.180003 | + | 0.180003i | ||||
\(964\) | 20.1305 | − | 13.9448i | 0.648360 | − | 0.449133i | ||||
\(965\) | 33.2232 | − | 11.3126i | 1.06949 | − | 0.364165i | ||||
\(966\) | −30.5824 | + | 58.3885i | −0.983973 | + | 1.87862i | ||||
\(967\) | −4.65140 | − | 4.65140i | −0.149579 | − | 0.149579i | 0.628351 | − | 0.777930i | \(-0.283730\pi\) |
−0.777930 | + | 0.628351i | \(0.783730\pi\) | |||||||
\(968\) | −13.6887 | + | 17.5629i | −0.439971 | + | 0.564492i | ||||
\(969\) | − | 12.0896i | − | 0.388375i | ||||||
\(970\) | −3.17398 | − | 4.34314i | −0.101910 | − | 0.139450i | ||||
\(971\) | − | 27.6220i | − | 0.886434i | −0.896414 | − | 0.443217i | \(-0.853837\pi\) | ||
0.896414 | − | 0.443217i | \(-0.146163\pi\) | |||||||
\(972\) | −7.07673 | + | 38.9840i | −0.226986 | + | 1.25041i | ||||
\(973\) | −37.0691 | − | 37.0691i | −1.18838 | − | 1.18838i | ||||
\(974\) | −50.8179 | − | 26.6171i | −1.62831 | − | 0.852867i | ||||
\(975\) | 8.23802 | + | 10.6943i | 0.263828 | + | 0.342493i | ||||
\(976\) | −11.5959 | + | 30.8870i | −0.371175 | + | 0.988669i | ||||
\(977\) | 37.7856 | − | 37.7856i | 1.20887 | − | 1.20887i | 0.237475 | − | 0.971394i | \(-0.423680\pi\) |
0.971394 | − | 0.237475i | \(-0.0763197\pi\) | |||||||
\(978\) | 11.1633 | + | 35.7191i | 0.356963 | + | 1.14217i | ||||
\(979\) | −14.1961 | −0.453711 | ||||||||
\(980\) | −56.8680 | + | 8.51422i | −1.81658 | + | 0.271977i | ||||
\(981\) | −72.6805 | −2.32051 | ||||||||
\(982\) | −2.98742 | − | 9.55882i | −0.0953324 | − | 0.305034i | ||||
\(983\) | 10.6381 | − | 10.6381i | 0.339301 | − | 0.339301i | −0.516803 | − | 0.856104i | \(-0.672878\pi\) |
0.856104 | + | 0.516803i | \(0.172878\pi\) | |||||||
\(984\) | 10.9230 | + | 88.1118i | 0.348214 | + | 2.80890i | ||||
\(985\) | 4.41892 | + | 12.9777i | 0.140799 | + | 0.413502i | ||||
\(986\) | 12.5118 | + | 6.55337i | 0.398457 | + | 0.208702i | ||||
\(987\) | 102.810 | + | 102.810i | 3.27247 | + | 3.27247i | ||||
\(988\) | −2.42807 | − | 0.440765i | −0.0772472 | − | 0.0140226i | ||||
\(989\) | 2.36234i | 0.0751181i | ||||||||
\(990\) | 3.68646 | − | 23.7021i | 0.117163 | − | 0.753301i | ||||
\(991\) | 53.1372i | 1.68796i | 0.536376 | + | 0.843979i | \(0.319793\pi\) | ||||
−0.536376 | + | 0.843979i | \(0.680207\pi\) | |||||||
\(992\) | 23.2002 | + | 1.30604i | 0.736609 | + | 0.0414667i | ||||
\(993\) | 8.12801 | + | 8.12801i | 0.257934 | + | 0.257934i | ||||
\(994\) | 33.3785 | − | 63.7268i | 1.05870 | − | 2.02129i | ||||
\(995\) | −19.0016 | + | 38.6229i | −0.602392 | + | 1.22443i | ||||
\(996\) | −17.0705 | − | 24.6426i | −0.540899 | − | 0.780831i | ||||
\(997\) | 35.1172 | − | 35.1172i | 1.11217 | − | 1.11217i | 0.119317 | − | 0.992856i | \(-0.461930\pi\) |
0.992856 | − | 0.119317i | \(-0.0380705\pi\) | |||||||
\(998\) | −27.3356 | + | 8.54319i | −0.865292 | + | 0.270430i | ||||
\(999\) | 7.63310 | 0.241501 |
(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 | 260.2.o.a.183.4 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.16 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.16 | yes | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.4 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.4 | ✓ | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.27.16 | yes | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.183.4 | yes | 72 | 1.1 | even | 1 | trivial | |
260.2.o.a.183.16 | yes | 72 | 4.3 | odd | 2 | inner |