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 | 183.16 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.16 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.421862 | + | 1.34983i | −0.298301 | + | 0.954472i | ||||
\(3\) | 1.90910 | − | 1.90910i | 1.10222 | − | 1.10222i | 0.108079 | − | 0.994142i | \(-0.465530\pi\) |
0.994142 | − | 0.108079i | \(-0.0344700\pi\) | |||||||
\(4\) | −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 | \(0.0687070\pi\) |
0.214177 | + | 0.976795i | \(0.431293\pi\) | |||||||
\(8\) | 2.23086 | − | 1.73875i | 0.788728 | − | 0.614742i | ||||
\(9\) | − | 4.28935i | − | 1.42978i | ||||||
\(10\) | −2.29187 | − | 2.17884i | −0.724752 | − | 0.689010i | ||||
\(11\) | − | 1.76842i | − | 0.533198i | −0.963808 | − | 0.266599i | \(-0.914100\pi\) | ||
0.963808 | − | 0.266599i | \(-0.0858999\pi\) | |||||||
\(12\) | −5.31293 | + | 0.964451i | −1.53371 | + | 0.278413i | ||||
\(13\) | 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 | \(0.104946\pi\) | |||||||
\(18\) | 5.78988 | + | 1.80951i | 1.36469 | + | 0.426506i | ||||
\(19\) | 1.23388 | 0.283071 | 0.141535 | − | 0.989933i | \(-0.454796\pi\) | ||||
0.141535 | + | 0.989933i | \(0.454796\pi\) | |||||||
\(20\) | 3.90791 | − | 2.17446i | 0.873835 | − | 0.486223i | ||||
\(21\) | 12.0312 | 2.62543 | ||||||||
\(22\) | 2.38706 | + | 0.746028i | 0.508923 | + | 0.159054i | ||||
\(23\) | −2.73924 | + | 2.73924i | −0.571171 | + | 0.571171i | −0.932456 | − | 0.361285i | \(-0.882338\pi\) |
0.361285 | + | 0.932456i | \(0.382338\pi\) | |||||||
\(24\) | 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 | ||||
\(28\) | −1.59185 | − | 8.76911i | −0.300831 | − | 1.65721i | ||||
\(29\) | − | 2.75202i | − | 0.511036i | −0.966804 | − | 0.255518i | \(-0.917754\pi\) | ||
0.966804 | − | 0.255518i | \(-0.0822461\pi\) | |||||||
\(30\) | −8.53504 | + | 0.215781i | −1.55828 | + | 0.0393960i | ||||
\(31\) | 4.10776i | 0.737775i | 0.929474 | + | 0.368887i | \(0.120261\pi\) | ||||
−0.929474 | + | 0.368887i | \(0.879739\pi\) | |||||||
\(32\) | −5.64791 | + | 0.317944i | −0.998419 | + | 0.0562051i | ||||
\(33\) | −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 | \(0.192312\pi\) | |||||||
\(38\) | −0.520525 | + | 1.66552i | −0.0844403 | + | 0.270183i | ||||
\(39\) | 2.69988 | 0.432327 | ||||||||
\(40\) | 1.28654 | + | 6.19232i | 0.203420 | + | 0.979092i | ||||
\(41\) | −11.6267 | −1.81579 | −0.907893 | − | 0.419203i | \(-0.862310\pi\) | ||||
−0.907893 | + | 0.419203i | \(0.862310\pi\) | |||||||
\(42\) | −5.07551 | + | 16.2401i | −0.783169 | + | 2.50590i | ||||
\(43\) | 0.431204 | − | 0.431204i | 0.0657580 | − | 0.0657580i | −0.673463 | − | 0.739221i | \(-0.735194\pi\) |
0.739221 | + | 0.673463i | \(0.235194\pi\) | |||||||
\(44\) | −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 | \(-0.906620\pi\) |
−0.289173 | − | 0.957277i | \(-0.593380\pi\) | |||||||
\(48\) | 9.83320 | + | 4.46517i | 1.41930 | + | 0.644492i | ||||
\(49\) | 12.8578i | 1.83683i | ||||||||
\(50\) | 6.63393 | − | 2.44766i | 0.938179 | − | 0.346151i | ||||
\(51\) | − | 9.79809i | − | 1.37201i | ||||||
\(52\) | −0.357220 | − | 1.96784i | −0.0495375 | − | 0.272890i | ||||
\(53\) | −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 | ||||
\(58\) | 3.71474 | + | 1.16097i | 0.487770 | + | 0.152443i | ||||
\(59\) | 7.03475 | 0.915846 | 0.457923 | − | 0.888992i | \(-0.348594\pi\) | ||||
0.457923 | + | 0.888992i | \(0.348594\pi\) | |||||||
\(60\) | 3.30934 | − | 11.6119i | 0.427234 | − | 1.49908i | ||||
\(61\) | −8.24800 | −1.05605 | −0.528024 | − | 0.849229i | \(-0.677067\pi\) | ||||
−0.528024 | + | 0.849229i | \(0.677067\pi\) | |||||||
\(62\) | −5.54476 | − | 1.73290i | −0.704185 | − | 0.220079i | ||||
\(63\) | 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 | 0.788469 | − | 0.615074i | \(-0.210874\pi\) |
−0.615074 | + | 0.788469i | \(0.710874\pi\) | |||||||
\(68\) | −7.14146 | + | 1.29638i | −0.866029 | + | 0.157209i | ||||
\(69\) | 10.4590i | 1.25911i | ||||||||
\(70\) | −0.356151 | − | 14.0873i | −0.0425682 | − | 1.68375i | ||||
\(71\) | 11.4152i | 1.35474i | 0.735644 | + | 0.677368i | \(0.236880\pi\) | ||||
−0.735644 | + | 0.677368i | \(0.763120\pi\) | |||||||
\(72\) | −7.45813 | − | 9.56894i | −0.878949 | − | 1.12771i | ||||
\(73\) | −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 | ||||
\(78\) | −1.13898 | + | 3.64437i | −0.128964 | + | 0.412644i | ||||
\(79\) | 6.65878 | 0.749171 | 0.374586 | − | 0.927192i | \(-0.377785\pi\) | ||||
0.374586 | + | 0.927192i | \(0.377785\pi\) | |||||||
\(80\) | −8.90130 | − | 0.875692i | −0.995196 | − | 0.0979053i | ||||
\(81\) | 3.46952 | 0.385502 | ||||||||
\(82\) | 4.90486 | − | 15.6940i | 0.541651 | − | 1.73312i | ||||
\(83\) | 3.92562 | − | 3.92562i | 0.430893 | − | 0.430893i | −0.458039 | − | 0.888932i | \(-0.651448\pi\) |
0.888932 | + | 0.458039i | \(0.151448\pi\) | |||||||
\(84\) | −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 | ||||
\(88\) | −3.07484 | − | 3.94509i | −0.327779 | − | 0.420548i | ||||
\(89\) | 8.02760i | 0.850924i | 0.904976 | + | 0.425462i | \(0.139888\pi\) | ||||
−0.904976 | + | 0.425462i | \(0.860112\pi\) | |||||||
\(90\) | −9.34581 | + | 9.83062i | −0.985135 | + | 1.03624i | ||||
\(91\) | 4.45621i | 0.467138i | ||||||||
\(92\) | 7.62315 | − | 1.38382i | 0.794769 | − | 0.144274i | ||||
\(93\) | 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 | \(0.222477\pi\) | |||||||
\(98\) | −17.3558 | − | 5.42421i | −1.75320 | − | 0.547928i | ||||
\(99\) | −7.58537 | −0.762358 | ||||||||
\(100\) | 0.505313 | + | 9.98722i | 0.0505313 | + | 0.998722i | ||||
\(101\) | −0.373555 | −0.0371701 | −0.0185851 | − | 0.999827i | \(-0.505916\pi\) | ||||
−0.0185851 | + | 0.999827i | \(0.505916\pi\) | |||||||
\(102\) | 13.2257 | + | 4.13344i | 1.30954 | + | 0.409271i | ||||
\(103\) | −0.262755 | + | 0.262755i | −0.0258900 | + | 0.0258900i | −0.719933 | − | 0.694043i | \(-0.755828\pi\) |
0.694043 | + | 0.719933i | \(0.255828\pi\) | |||||||
\(104\) | 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 | 0.767247 | − | 0.641352i | \(-0.221626\pi\) |
−0.641352 | + | 0.767247i | \(0.721626\pi\) | |||||||
\(108\) | 1.24352 | + | 6.85023i | 0.119657 | + | 0.659164i | ||||
\(109\) | − | 16.9444i | − | 1.62298i | −0.584366 | − | 0.811490i | \(-0.698657\pi\) | ||
0.584366 | − | 0.811490i | \(-0.301343\pi\) | |||||||
\(110\) | −3.85310 | + | 4.05298i | −0.367379 | + | 0.386436i | ||||
\(111\) | − | 5.92011i | − | 0.561912i | ||||||
\(112\) | −7.36986 | + | 16.2299i | −0.696386 | + | 1.53358i | ||||
\(113\) | 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 | ||||
\(118\) | −2.96769 | + | 9.49569i | −0.273198 | + | 0.874149i | ||||
\(119\) | 16.1720 | 1.48248 | ||||||||
\(120\) | 14.2779 | + | 9.36563i | 1.30339 | + | 0.854961i | ||||
\(121\) | 7.87270 | 0.715700 | ||||||||
\(122\) | 3.47951 | − | 11.1334i | 0.315020 | − | 1.00797i | ||||
\(123\) | −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 | 0.886676 | − | 0.462392i | \(-0.153009\pi\) |
−0.462392 | + | 0.886676i | \(0.653009\pi\) | |||||||
\(128\) | 9.64764 | + | 5.90957i | 0.852739 | + | 0.522338i | ||||
\(129\) | − | 1.64643i | − | 0.144960i | ||||||
\(130\) | −0.0799225 | − | 3.16127i | −0.00700966 | − | 0.277262i | ||||
\(131\) | − | 6.06174i | − | 0.529617i | −0.964301 | − | 0.264808i | \(-0.914691\pi\) | ||
0.964301 | − | 0.264808i | \(-0.0853087\pi\) | |||||||
\(132\) | 1.70555 | + | 9.39548i | 0.148449 | + | 0.817772i | ||||
\(133\) | 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 | \(0.978746\pi\) | |||||||
\(138\) | −14.1178 | − | 4.41224i | −1.20179 | − | 0.375595i | ||||
\(139\) | −11.7642 | −0.997824 | −0.498912 | − | 0.866653i | \(-0.666267\pi\) | ||||
−0.498912 | + | 0.866653i | \(0.666267\pi\) | |||||||
\(140\) | 19.1656 | + | 5.46214i | 1.61979 | + | 0.461635i | ||||
\(141\) | −32.6275 | −2.74773 | ||||||||
\(142\) | −15.4086 | − | 4.81564i | −1.29306 | − | 0.404119i | ||||
\(143\) | 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 | ||||
\(148\) | −4.31494 | + | 0.783287i | −0.354686 | + | 0.0643858i | ||||
\(149\) | 7.73718i | 0.633854i | 0.948450 | + | 0.316927i | \(0.102651\pi\) | ||||
−0.948450 | + | 0.316927i | \(0.897349\pi\) | |||||||
\(150\) | 7.99202 | − | 17.3377i | 0.652546 | − | 1.41562i | ||||
\(151\) | 18.7832i | 1.52856i | 0.644886 | + | 0.764279i | \(0.276905\pi\) | ||||
−0.644886 | + | 0.764279i | \(0.723095\pi\) | |||||||
\(152\) | 2.75260 | − | 2.14541i | 0.223266 | − | 0.174015i | ||||
\(153\) | −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 | \(0.177766\pi\) | |||||||
\(158\) | −2.80908 | + | 8.98820i | −0.223479 | + | 0.715063i | ||||
\(159\) | −38.9964 | −3.09261 | ||||||||
\(160\) | 4.93715 | − | 11.6458i | 0.390316 | − | 0.920681i | ||||
\(161\) | −17.2628 | −1.36050 | ||||||||
\(162\) | −1.46366 | + | 4.68325i | −0.114996 | + | 0.367951i | ||||
\(163\) | 6.93048 | − | 6.93048i | 0.542837 | − | 0.542837i | −0.381522 | − | 0.924360i | \(-0.624600\pi\) |
0.924360 | + | 0.381522i | \(0.124600\pi\) | |||||||
\(164\) | 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 | 0.785253 | − | 0.619175i | \(-0.212533\pi\) |
−0.619175 | + | 0.785253i | \(0.712533\pi\) | |||||||
\(168\) | 26.8400 | − | 20.9193i | 2.07075 | − | 1.61396i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −11.4725 | + | 0.290045i | −0.879901 | + | 0.0222455i | ||||
\(171\) | − | 5.29253i | − | 0.404730i | ||||||
\(172\) | −1.20002 | + | 0.217838i | −0.0915005 | + | 0.0166100i | ||||
\(173\) | 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 | ||||
\(178\) | −10.8359 | − | 3.38654i | −0.812183 | − | 0.253832i | ||||
\(179\) | 10.6942 | 0.799325 | 0.399662 | − | 0.916662i | \(-0.369127\pi\) | ||||
0.399662 | + | 0.916662i | \(0.369127\pi\) | |||||||
\(180\) | −9.32700 | − | 16.7624i | −0.695194 | − | 1.24939i | ||||
\(181\) | 13.3815 | 0.994639 | 0.497319 | − | 0.867568i | \(-0.334318\pi\) | ||||
0.497319 | + | 0.867568i | \(0.334318\pi\) | |||||||
\(182\) | −6.01511 | − | 1.87990i | −0.445870 | − | 0.139348i | ||||
\(183\) | −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 | ||||
\(188\) | 4.31693 | + | 23.7809i | 0.314844 | + | 1.73440i | ||||
\(189\) | − | 15.5125i | − | 1.12837i | ||||||
\(190\) | −2.82788 | − | 2.68842i | −0.205156 | − | 0.195038i | ||||
\(191\) | − | 22.0682i | − | 1.59680i | −0.602128 | − | 0.798399i | \(-0.705680\pi\) | ||
0.602128 | − | 0.798399i | \(-0.294320\pi\) | |||||||
\(192\) | −11.0811 | − | 18.5399i | −0.799712 | − | 1.33800i | ||||
\(193\) | −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 | \(0.179914\pi\) | |||||||
\(198\) | 3.19997 | − | 10.2389i | 0.227412 | − | 0.727649i | ||||
\(199\) | −19.2499 | −1.36459 | −0.682295 | − | 0.731077i | \(-0.739018\pi\) | ||||
−0.682295 | + | 0.731077i | \(0.739018\pi\) | |||||||
\(200\) | −13.6942 | − | 3.53114i | −0.968326 | − | 0.249689i | ||||
\(201\) | 5.41916 | 0.382238 | ||||||||
\(202\) | 0.157588 | − | 0.504234i | 0.0110879 | − | 0.0354778i | ||||
\(203\) | 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 | ||||
\(208\) | −1.65384 | + | 3.64209i | −0.114673 | + | 0.252533i | ||||
\(209\) | − | 2.18201i | − | 0.150933i | ||||||
\(210\) | −27.5740 | − | 26.2141i | −1.90279 | − | 1.80895i | ||||
\(211\) | − | 7.78507i | − | 0.535946i | −0.963426 | − | 0.267973i | \(-0.913646\pi\) | ||
0.963426 | − | 0.267973i | \(-0.0863539\pi\) | |||||||
\(212\) | 5.15959 | + | 28.4230i | 0.354362 | + | 1.95210i | ||||
\(213\) | 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 | ||||
\(218\) | 22.8720 | + | 7.14820i | 1.54909 | + | 0.484137i | ||||
\(219\) | −21.0552 | −1.42278 | ||||||||
\(220\) | −3.84535 | − | 6.91081i | −0.259253 | − | 0.465927i | ||||
\(221\) | 3.62908 | 0.244119 | ||||||||
\(222\) | 7.99112 | + | 2.49747i | 0.536329 | + | 0.167619i | ||||
\(223\) | 9.01350 | − | 9.01350i | 0.603589 | − | 0.603589i | −0.337674 | − | 0.941263i | \(-0.609640\pi\) |
0.941263 | + | 0.337674i | \(0.109640\pi\) | |||||||
\(224\) | −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 | \(0.0186822\pi\) |
0.0586582 | + | 0.998278i | \(0.481318\pi\) | |||||||
\(228\) | −6.55550 | + | 1.19001i | −0.434148 | + | 0.0788105i | ||||
\(229\) | 11.1968i | 0.739908i | 0.929050 | + | 0.369954i | \(0.120627\pi\) | ||||
−0.929050 | + | 0.369954i | \(0.879373\pi\) | |||||||
\(230\) | 12.2463 | − | 0.309609i | 0.807499 | − | 0.0204150i | ||||
\(231\) | − | 21.2762i | − | 1.39987i | ||||||
\(232\) | −4.78508 | − | 6.13936i | −0.314156 | − | 0.403069i | ||||
\(233\) | −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 | ||||
\(238\) | −6.82233 | + | 21.8293i | −0.442226 | + | 1.41499i | ||||
\(239\) | 7.21067 | 0.466419 | 0.233210 | − | 0.972426i | \(-0.425077\pi\) | ||||
0.233210 | + | 0.972426i | \(0.425077\pi\) | |||||||
\(240\) | −18.6653 | + | 15.3217i | −1.20484 | + | 0.989013i | ||||
\(241\) | 12.2443 | 0.788728 | 0.394364 | − | 0.918954i | \(-0.370965\pi\) | ||||
0.394364 | + | 0.918954i | \(0.370965\pi\) | |||||||
\(242\) | −3.32119 | + | 10.6268i | −0.213494 | + | 0.683115i | ||||
\(243\) | 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 | ||||
\(248\) | 7.14238 | + | 9.16383i | 0.453541 | + | 0.581904i | ||||
\(249\) | − | 14.9888i | − | 0.949879i | ||||||
\(250\) | −1.63740 | + | 15.7264i | −0.103558 | + | 0.994623i | ||||
\(251\) | 2.83819i | 0.179145i | 0.995980 | + | 0.0895726i | \(0.0285501\pi\) | ||||
−0.995980 | + | 0.0895726i | \(0.971450\pi\) | |||||||
\(252\) | −37.6138 | + | 6.82799i | −2.36945 | + | 0.430123i | ||||
\(253\) | 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 | \(0.380106\pi\) | |||||||
\(258\) | 2.22239 | + | 0.694564i | 0.138360 | + | 0.0432417i | ||||
\(259\) | 9.77127 | 0.607157 | ||||||||
\(260\) | 4.30088 | + | 1.22574i | 0.266729 | + | 0.0760169i | ||||
\(261\) | −11.8044 | −0.730671 | ||||||||
\(262\) | 8.18230 | + | 2.55722i | 0.505504 | + | 0.157985i | ||||
\(263\) | 0.472686 | − | 0.472686i | 0.0291471 | − | 0.0291471i | −0.692383 | − | 0.721530i | \(-0.743439\pi\) |
0.721530 | + | 0.692383i | \(0.243439\pi\) | |||||||
\(264\) | −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 | ||||
\(268\) | −0.717007 | − | 3.94982i | −0.0437982 | − | 0.241274i | ||||
\(269\) | 6.52851i | 0.398050i | 0.979994 | + | 0.199025i | \(0.0637775\pi\) | ||||
−0.979994 | + | 0.199025i | \(0.936222\pi\) | |||||||
\(270\) | 0.278218 | + | 11.0047i | 0.0169318 | + | 0.669723i | ||||
\(271\) | 22.4977i | 1.36664i | 0.730119 | + | 0.683320i | \(0.239465\pi\) | ||||
−0.730119 | + | 0.683320i | \(0.760535\pi\) | |||||||
\(272\) | 13.2174 | + | 6.00193i | 0.801425 | + | 0.363920i | ||||
\(273\) | 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 | \(0.896615\pi\) | |||||||
\(278\) | 4.96285 | − | 15.8796i | 0.297652 | − | 0.952395i | ||||
\(279\) | 17.6196 | 1.05486 | ||||||||
\(280\) | −15.4582 | + | 23.5660i | −0.923803 | + | 1.40834i | ||||
\(281\) | −3.11270 | −0.185688 | −0.0928440 | − | 0.995681i | \(-0.529596\pi\) | ||||
−0.0928440 | + | 0.995681i | \(0.529596\pi\) | |||||||
\(282\) | 13.7643 | − | 44.0414i | 0.819650 | − | 2.62263i | ||||
\(283\) | −1.41066 | + | 1.41066i | −0.0838550 | + | 0.0838550i | −0.747790 | − | 0.663935i | \(-0.768885\pi\) |
0.663935 | + | 0.747790i | \(0.268885\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | 1.36377 | + | 24.2259i | 0.0803611 | + | 1.42752i | ||||
\(289\) | 3.82975i | 0.225279i | ||||||||
\(290\) | −5.99620 | + | 6.30725i | −0.352109 | + | 0.370375i | ||||
\(291\) | − | 4.59273i | − | 0.269231i | ||||||
\(292\) | 2.78581 | + | 15.3463i | 0.163027 | + | 0.898077i | ||||
\(293\) | −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 | ||||
\(298\) | −10.4438 | − | 3.26402i | −0.604996 | − | 0.189079i | ||||
\(299\) | −3.87387 | −0.224032 | ||||||||
\(300\) | 20.0313 | + | 18.1020i | 1.15651 | + | 1.04512i | ||||
\(301\) | 2.71746 | 0.156632 | ||||||||
\(302\) | −25.3541 | − | 7.92392i | −1.45896 | − | 0.455970i | ||||
\(303\) | −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 | 0.710378 | − | 0.703820i | \(-0.248524\pi\) |
−0.703820 | + | 0.710378i | \(0.748524\pi\) | |||||||
\(308\) | −15.5074 | + | 2.81505i | −0.883619 | + | 0.160402i | ||||
\(309\) | 1.00325i | 0.0570730i | ||||||||
\(310\) | 8.95014 | − | 9.41443i | 0.508334 | − | 0.534704i | ||||
\(311\) | 21.1090i | 1.19698i | 0.801129 | + | 0.598492i | \(0.204233\pi\) | ||||
−0.801129 | + | 0.598492i | \(0.795767\pi\) | |||||||
\(312\) | 6.02305 | − | 4.69443i | 0.340988 | − | 0.265770i | ||||
\(313\) | −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 | \(0.0516013\pi\) | |||||||
\(318\) | 16.4511 | − | 52.6383i | 0.922530 | − | 2.95181i | ||||
\(319\) | −4.86671 | −0.272484 | ||||||||
\(320\) | 13.6370 | + | 11.5772i | 0.762332 | + | 0.647186i | ||||
\(321\) | 4.97234 | 0.277529 | ||||||||
\(322\) | 7.28250 | − | 23.3017i | 0.405838 | − | 1.29856i | ||||
\(323\) | 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 | ||||
\(328\) | −25.9375 | + | 20.2160i | −1.43216 | + | 1.11624i | ||||
\(329\) | − | 53.8523i | − | 2.96897i | ||||||
\(330\) | 0.381591 | + | 15.0935i | 0.0210059 | + | 0.830871i | ||||
\(331\) | 4.25750i | 0.234013i | 0.993131 | + | 0.117007i | \(0.0373299\pi\) | ||||
−0.993131 | + | 0.117007i | \(0.962670\pi\) | |||||||
\(332\) | −10.9248 | + | 1.98317i | −0.599576 | + | 0.108840i | ||||
\(333\) | −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 | \(0.193875\pi\) | |||||||
\(338\) | −1.34983 | − | 0.421862i | −0.0734209 | − | 0.0229462i | ||||
\(339\) | 13.8201 | 0.750602 | ||||||||
\(340\) | 4.44830 | − | 15.6083i | 0.241243 | − | 0.846477i | ||||
\(341\) | 7.26423 | 0.393380 | ||||||||
\(342\) | 7.14400 | + | 2.23271i | 0.386303 | + | 0.120731i | ||||
\(343\) | −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 | \(0.0349674\pi\) |
0.109633 | + | 0.993972i | \(0.465033\pi\) | |||||||
\(348\) | 2.65418 | + | 14.6213i | 0.142279 | + | 0.783782i | ||||
\(349\) | 25.9580i | 1.38950i | 0.719250 | + | 0.694751i | \(0.244485\pi\) | ||||
−0.719250 | + | 0.694751i | \(0.755515\pi\) | |||||||
\(350\) | 28.6162 | + | 13.1910i | 1.52960 | + | 0.705089i | ||||
\(351\) | − | 3.48109i | − | 0.185807i | ||||||
\(352\) | 0.562258 | + | 9.98787i | 0.0299685 | + | 0.532355i | ||||
\(353\) | −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 | ||||
\(358\) | −4.51149 | + | 14.4354i | −0.238439 | + | 0.762933i | ||||
\(359\) | −16.7930 | −0.886300 | −0.443150 | − | 0.896448i | \(-0.646139\pi\) | ||||
−0.443150 | + | 0.896448i | \(0.646139\pi\) | |||||||
\(360\) | 26.5610 | − | 5.51843i | 1.39989 | − | 0.290847i | ||||
\(361\) | −17.4776 | −0.919871 | ||||||||
\(362\) | −5.64514 | + | 18.0627i | −0.296702 | + | 0.949355i | ||||
\(363\) | 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 | 0.584966 | − | 0.811058i | \(-0.301108\pi\) |
−0.811058 | + | 0.584966i | \(0.801108\pi\) | |||||||
\(368\) | −14.1090 | − | 6.40676i | −0.735481 | − | 0.333976i | ||||
\(369\) | 49.8710i | 2.59618i | ||||||||
\(370\) | −6.93181 | + | 0.175248i | −0.360368 | + | 0.00911073i | ||||
\(371\) | − | 64.3643i | − | 3.34163i | ||||||
\(372\) | −3.96173 | − | 21.8242i | −0.205406 | − | 1.13153i | ||||
\(373\) | −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 | ||||
\(378\) | 20.9392 | + | 6.54412i | 1.07699 | + | 0.336593i | ||||
\(379\) | −7.89852 | −0.405720 | −0.202860 | − | 0.979208i | \(-0.565024\pi\) | ||||
−0.202860 | + | 0.979208i | \(0.565024\pi\) | |||||||
\(380\) | 4.82187 | − | 2.68301i | 0.247357 | − | 0.137635i | ||||
\(381\) | 18.2565 | 0.935310 | ||||||||
\(382\) | 29.7882 | + | 9.30972i | 1.52410 | + | 0.476327i | ||||
\(383\) | −5.61005 | + | 5.61005i | −0.286660 | + | 0.286660i | −0.835758 | − | 0.549098i | \(-0.814971\pi\) |
0.549098 | + | 0.835758i | \(0.314971\pi\) | |||||||
\(384\) | 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 | ||||
\(388\) | −3.34747 | + | 0.607662i | −0.169942 | + | 0.0308494i | ||||
\(389\) | − | 1.00399i | − | 0.0509041i | −0.999676 | − | 0.0254520i | \(-0.991897\pi\) | ||
0.999676 | − | 0.0254520i | \(-0.00810251\pi\) | |||||||
\(390\) | −6.18777 | − | 5.88261i | −0.313330 | − | 0.297877i | ||||
\(391\) | 14.0586i | 0.710974i | ||||||||
\(392\) | 22.3565 | + | 28.6839i | 1.12918 | + | 1.44876i | ||||
\(393\) | −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 | \(-0.0404160\pi\) | |||||||
\(398\) | 8.12079 | − | 25.9840i | 0.407059 | − | 1.30246i | ||||
\(399\) | 14.8450 | 0.743182 | ||||||||
\(400\) | 10.5435 | − | 16.9951i | 0.527174 | − | 0.849757i | ||||
\(401\) | −16.2164 | −0.809810 | −0.404905 | − | 0.914359i | \(-0.632695\pi\) | ||||
−0.404905 | + | 0.914359i | \(0.632695\pi\) | |||||||
\(402\) | −2.28614 | + | 7.31493i | −0.114022 | + | 0.364836i | ||||
\(403\) | −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 | ||||
\(408\) | −17.0365 | − | 21.8582i | −0.843431 | − | 1.08214i | ||||
\(409\) | 26.1902i | 1.29502i | 0.762056 | + | 0.647511i | \(0.224190\pi\) | ||||
−0.762056 | + | 0.647511i | \(0.775810\pi\) | |||||||
\(410\) | 26.6469 | + | 25.3327i | 1.31599 | + | 1.25109i | ||||
\(411\) | 47.5732i | 2.34661i | ||||||||
\(412\) | 0.731232 | − | 0.132740i | 0.0360252 | − | 0.00653962i | ||||
\(413\) | 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 | ||||
\(418\) | 2.94533 | + | 0.920505i | 0.144061 | + | 0.0450234i | ||||
\(419\) | 34.7358 | 1.69696 | 0.848478 | − | 0.529231i | \(-0.177520\pi\) | ||||
0.848478 | + | 0.529231i | \(0.177520\pi\) | |||||||
\(420\) | 47.0169 | − | 26.1614i | 2.29419 | − | 1.27654i | ||||
\(421\) | −19.0536 | −0.928615 | −0.464307 | − | 0.885674i | \(-0.653697\pi\) | ||||
−0.464307 | + | 0.885674i | \(0.653697\pi\) | |||||||
\(422\) | 10.5085 | + | 3.28422i | 0.511546 | + | 0.159873i | ||||
\(423\) | −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 | ||||
\(428\) | −0.657889 | − | 3.62415i | −0.0318003 | − | 0.175180i | ||||
\(429\) | − | 4.77452i | − | 0.230516i | ||||||
\(430\) | −1.92779 | + | 0.0487379i | −0.0929661 | + | 0.00235035i | ||||
\(431\) | 26.6616i | 1.28425i | 0.766602 | + | 0.642123i | \(0.221946\pi\) | ||||
−0.766602 | + | 0.642123i | \(0.778054\pi\) | |||||||
\(432\) | 5.75717 | − | 12.6784i | 0.276992 | − | 0.609992i | ||||
\(433\) | 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 | ||||
\(438\) | 8.88238 | − | 28.4209i | 0.424417 | − | 1.35800i | ||||
\(439\) | 28.3991 | 1.35542 | 0.677708 | − | 0.735331i | \(-0.262974\pi\) | ||||
0.677708 | + | 0.735331i | \(0.262974\pi\) | |||||||
\(440\) | 10.9506 | − | 2.27514i | 0.522050 | − | 0.108463i | ||||
\(441\) | 55.1516 | 2.62627 | ||||||||
\(442\) | −1.53097 | + | 4.89864i | −0.0728209 | + | 0.233004i | ||||
\(443\) | −2.27026 | + | 2.27026i | −0.107863 | + | 0.107863i | −0.758979 | − | 0.651115i | \(-0.774301\pi\) |
0.651115 | + | 0.758979i | \(0.274301\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | 30.6005 | − | 18.2896i | 1.44574 | − | 0.864104i | ||||
\(449\) | − | 22.6117i | − | 1.06711i | −0.845764 | − | 0.533557i | \(-0.820855\pi\) | ||
0.845764 | − | 0.533557i | \(-0.179145\pi\) | |||||||
\(450\) | −10.4989 | − | 28.4552i | −0.494921 | − | 1.34139i | ||||
\(451\) | 20.5609i | 0.968173i | ||||||||
\(452\) | −1.82852 | − | 10.0729i | −0.0860066 | − | 0.473790i | ||||
\(453\) | 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 | \(0.184879\pi\) | |||||||
\(458\) | −15.1138 | − | 4.72352i | −0.706221 | − | 0.220715i | ||||
\(459\) | −12.6332 | −0.589666 | ||||||||
\(460\) | −4.74834 | + | 16.6610i | −0.221392 | + | 0.776825i | ||||
\(461\) | −28.7359 | −1.33836 | −0.669181 | − | 0.743099i | \(-0.733355\pi\) | ||||
−0.669181 | + | 0.743099i | \(0.733355\pi\) | |||||||
\(462\) | 28.7192 | + | 8.97563i | 1.33614 | + | 0.417584i | ||||
\(463\) | 16.3509 | − | 16.3509i | 0.759890 | − | 0.759890i | −0.216412 | − | 0.976302i | \(-0.569435\pi\) |
0.976302 | + | 0.216412i | \(0.0694354\pi\) | |||||||
\(464\) | 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 | 0.600551 | − | 0.799586i | \(-0.294948\pi\) |
−0.799586 | + | 0.600551i | \(0.794948\pi\) | |||||||
\(468\) | −8.44076 | + | 1.53224i | −0.390174 | + | 0.0708279i | ||||
\(469\) | 8.94445i | 0.413016i | ||||||||
\(470\) | 0.965845 | + | 38.2032i | 0.0445511 | + | 1.76218i | ||||
\(471\) | − | 15.2224i | − | 0.701410i | ||||||
\(472\) | 15.6935 | − | 12.2317i | 0.722353 | − | 0.563009i | ||||
\(473\) | −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 | ||||
\(478\) | −3.04190 | + | 9.73315i | −0.139133 | + | 0.445184i | ||||
\(479\) | 4.08327 | 0.186569 | 0.0932847 | − | 0.995639i | \(-0.470263\pi\) | ||||
0.0932847 | + | 0.995639i | \(0.470263\pi\) | |||||||
\(480\) | −12.8075 | − | 31.6586i | −0.584580 | − | 1.44501i | ||||
\(481\) | 2.19273 | 0.0999799 | ||||||||
\(482\) | −5.16542 | + | 16.5277i | −0.235278 | + | 0.752818i | ||||
\(483\) | −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 | \(-0.878940\pi\) |
−0.371219 | − | 0.928545i | \(-0.621060\pi\) | |||||||
\(488\) | −18.4001 | + | 14.3412i | −0.832935 | + | 0.649198i | ||||
\(489\) | − | 26.4620i | − | 1.19665i | ||||||
\(490\) | 28.0151 | − | 29.4684i | 1.26559 | − | 1.33125i | ||||
\(491\) | − | 7.08151i | − | 0.319584i | −0.987151 | − | 0.159792i | \(-0.948918\pi\) | ||
0.987151 | − | 0.159792i | \(-0.0510824\pi\) | |||||||
\(492\) | 61.7719 | − | 11.2134i | 2.78489 | − | 0.505538i | ||||
\(493\) | −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 | ||||
\(498\) | 20.2323 | + | 6.32321i | 0.906632 | + | 0.283350i | ||||
\(499\) | −20.2512 | −0.906566 | −0.453283 | − | 0.891367i | \(-0.649747\pi\) | ||||
−0.453283 | + | 0.891367i | \(0.649747\pi\) | |||||||
\(500\) | −20.5371 | − | 8.84456i | −0.918448 | − | 0.395541i | ||||
\(501\) | 8.19461 | 0.366108 | ||||||||
\(502\) | −3.83107 | − | 1.19732i | −0.170989 | − | 0.0534392i | ||||
\(503\) | 6.46560 | − | 6.46560i | 0.288287 | − | 0.288287i | −0.548116 | − | 0.836402i | \(-0.684655\pi\) |
0.836402 | + | 0.548116i | \(0.184655\pi\) | |||||||
\(504\) | 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 | ||||
\(508\) | −2.41551 | − | 13.3065i | −0.107171 | − | 0.590380i | ||||
\(509\) | 9.49400i | 0.420814i | 0.977614 | + | 0.210407i | \(0.0674790\pi\) | ||||
−0.977614 | + | 0.210407i | \(0.932521\pi\) | |||||||
\(510\) | −21.3485 | + | 22.4559i | −0.945326 | + | 0.994365i | ||||
\(511\) | − | 34.7521i | − | 1.53734i | ||||||
\(512\) | −9.13105 | − | 20.7032i | −0.403539 | − | 0.914962i | ||||
\(513\) | −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 | ||||
\(518\) | −4.12212 | + | 13.1895i | −0.181116 | + | 0.579514i | ||||
\(519\) | 5.35327 | 0.234982 | ||||||||
\(520\) | −3.46891 | + | 5.28835i | −0.152122 | + | 0.231910i | ||||
\(521\) | −9.55223 | −0.418491 | −0.209245 | − | 0.977863i | \(-0.567101\pi\) | ||||
−0.209245 | + | 0.977863i | \(0.567101\pi\) | |||||||
\(522\) | 4.97981 | − | 15.9338i | 0.217960 | − | 0.697405i | ||||
\(523\) | 9.29332 | − | 9.29332i | 0.406368 | − | 0.406368i | −0.474102 | − | 0.880470i | \(-0.657227\pi\) |
0.880470 | + | 0.474102i | \(0.157227\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | 7.89629 | − | 17.3892i | 0.343642 | − | 0.756768i | ||||
\(529\) | 7.99314i | 0.347528i | ||||||||
\(530\) | 1.15438 | + | 45.6605i | 0.0501430 | + | 1.98337i | ||||
\(531\) | − | 30.1745i | − | 1.30946i | ||||||
\(532\) | −1.96414 | − | 10.8200i | −0.0851563 | − | 0.469106i | ||||
\(533\) | −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 | ||||
\(538\) | −8.81236 | − | 2.75413i | −0.379928 | − | 0.118739i | ||||
\(539\) | 22.7380 | 0.979393 | ||||||||
\(540\) | −14.9718 | − | 4.26690i | −0.644282 | − | 0.183618i | ||||
\(541\) | 28.8757 | 1.24146 | 0.620732 | − | 0.784023i | \(-0.286835\pi\) | ||||
0.620732 | + | 0.784023i | \(0.286835\pi\) | |||||||
\(542\) | −30.3681 | − | 9.49093i | −1.30442 | − | 0.407670i | ||||
\(543\) | 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 | 0.215389 | − | 0.976528i | \(-0.430898\pi\) |
−0.976528 | + | 0.215389i | \(0.930898\pi\) | |||||||
\(548\) | 34.6743 | − | 6.29439i | 1.48121 | − | 0.268883i | ||||
\(549\) | 35.3786i | 1.50992i | ||||||||
\(550\) | −4.32848 | − | 11.7316i | −0.184567 | − | 0.500235i | ||||
\(551\) | − | 3.39564i | − | 0.144659i | ||||||
\(552\) | 18.1856 | + | 23.3325i | 0.774030 | + | 0.993098i | ||||
\(553\) | 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 | \(0.247965\pi\) | |||||||
\(558\) | −7.43304 | + | 23.7834i | −0.314666 | + | 1.00683i | ||||
\(559\) | 0.609814 | 0.0257924 | ||||||||
\(560\) | −25.2888 | − | 30.8075i | −1.06865 | − | 1.30185i | ||||
\(561\) | −17.3271 | −0.731552 | ||||||||
\(562\) | 1.31313 | − | 4.20160i | 0.0553909 | − | 0.177234i | ||||
\(563\) | 7.49585 | − | 7.49585i | 0.315912 | − | 0.315912i | −0.531282 | − | 0.847195i | \(-0.678290\pi\) |
0.847195 | + | 0.531282i | \(0.178290\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | 19.8482 | + | 25.4657i | 0.832814 | + | 1.06852i | ||||
\(569\) | − | 22.3444i | − | 0.936725i | −0.883536 | − | 0.468362i | \(-0.844844\pi\) | ||
0.883536 | − | 0.468362i | \(-0.155156\pi\) | |||||||
\(570\) | −10.5312 | + | 0.266247i | −0.441103 | + | 0.0111519i | ||||
\(571\) | − | 14.2843i | − | 0.597779i | −0.954288 | − | 0.298889i | \(-0.903384\pi\) | ||
0.954288 | − | 0.298889i | \(-0.0966161\pi\) | |||||||
\(572\) | −3.47996 | + | 0.631714i | −0.145505 | + | 0.0264133i | ||||
\(573\) | −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 | \(0.228549\pi\) | |||||||
\(578\) | −5.16950 | − | 1.61562i | −0.215023 | − | 0.0672011i | ||||
\(579\) | −42.3762 | −1.76109 | ||||||||
\(580\) | −5.98413 | − | 10.7546i | −0.248478 | − | 0.446561i | ||||
\(581\) | 24.7394 | 1.02636 | ||||||||
\(582\) | 6.19939 | + | 1.93750i | 0.256973 | + | 0.0803118i | ||||
\(583\) | −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 | 0.392026 | − | 0.919954i | \(-0.371774\pi\) |
−0.919954 | + | 0.392026i | \(0.871774\pi\) | |||||||
\(588\) | −12.4007 | − | 68.3126i | −0.511397 | − | 2.81716i | ||||
\(589\) | 5.06846i | 0.208842i | ||||||||
\(590\) | −16.1227 | − | 15.3276i | −0.663761 | − | 0.631027i | ||||
\(591\) | − | 16.5530i | − | 0.680899i | ||||||
\(592\) | 7.98612 | + | 3.62643i | 0.328228 | + | 0.149045i | ||||
\(593\) | 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 | ||||
\(598\) | 1.63424 | − | 5.22905i | 0.0668289 | − | 0.213832i | ||||
\(599\) | 23.1160 | 0.944492 | 0.472246 | − | 0.881467i | \(-0.343443\pi\) | ||||
0.472246 | + | 0.881467i | \(0.343443\pi\) | |||||||
\(600\) | −32.8850 | + | 19.4023i | −1.34252 | + | 0.792096i | ||||
\(601\) | 10.3817 | 0.423477 | 0.211738 | − | 0.977326i | \(-0.432088\pi\) | ||||
0.211738 | + | 0.977326i | \(0.432088\pi\) | |||||||
\(602\) | −1.14639 | + | 3.66810i | −0.0467235 | + | 0.149501i | ||||
\(603\) | 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 | 0.668907 | − | 0.743346i | \(-0.266762\pi\) |
−0.743346 | + | 0.668907i | \(0.766762\pi\) | |||||||
\(608\) | −6.96882 | + | 0.392303i | −0.282623 | + | 0.0159100i | ||||
\(609\) | − | 33.1101i | − | 1.34169i | ||||||
\(610\) | 18.9033 | + | 17.9711i | 0.765373 | + | 0.727627i | ||||
\(611\) | − | 12.0848i | − | 0.488898i | ||||||
\(612\) | 5.56063 | + | 30.6322i | 0.224775 | + | 1.23823i | ||||
\(613\) | 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 | \(0.0698534\pi\) | |||||||
\(618\) | −1.35422 | − | 0.423233i | −0.0544745 | − | 0.0170249i | ||||
\(619\) | 9.61444 | 0.386437 | 0.193219 | − | 0.981156i | \(-0.438107\pi\) | ||||
0.193219 | + | 0.981156i | \(0.438107\pi\) | |||||||
\(620\) | 8.93213 | + | 16.0527i | 0.358723 | + | 0.644693i | ||||
\(621\) | 13.4853 | 0.541146 | ||||||||
\(622\) | −28.4935 | − | 8.90509i | −1.14249 | − | 0.357061i | ||||
\(623\) | −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 | ||||
\(628\) | −11.0950 | + | 2.01407i | −0.442739 | + | 0.0803700i | ||||
\(629\) | − | 7.95761i | − | 0.317291i | ||||||
\(630\) | −60.4252 | + | 1.52766i | −2.40740 | + | 0.0608633i | ||||
\(631\) | 40.8443i | 1.62599i | 0.582274 | + | 0.812993i | \(0.302163\pi\) | ||||
−0.582274 | + | 0.812993i | \(0.697837\pi\) | |||||||
\(632\) | 14.8548 | − | 11.5780i | 0.590892 | − | 0.460547i | ||||
\(633\) | −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 | ||||
\(638\) | 2.05308 | − | 6.56922i | 0.0812822 | − | 0.260078i | ||||
\(639\) | 48.9638 | 1.93698 | ||||||||
\(640\) | −21.3802 | + | 13.5236i | −0.845125 | + | 0.534568i | ||||
\(641\) | 18.6486 | 0.736574 | 0.368287 | − | 0.929712i | \(-0.379944\pi\) | ||||
0.368287 | + | 0.929712i | \(0.379944\pi\) | |||||||
\(642\) | −2.09764 | + | 6.71180i | −0.0827873 | + | 0.264894i | ||||
\(643\) | −16.1537 | + | 16.1537i | −0.637040 | + | 0.637040i | −0.949824 | − | 0.312784i | \(-0.898738\pi\) |
0.312784 | + | 0.949824i | \(0.398738\pi\) | |||||||
\(644\) | 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 | 0.760879 | − | 0.648893i | \(-0.224768\pi\) |
−0.648893 | + | 0.760879i | \(0.724768\pi\) | |||||||
\(648\) | 7.74001 | − | 6.03264i | 0.304056 | − | 0.236985i | ||||
\(649\) | − | 12.4404i | − | 0.488327i | ||||||
\(650\) | 6.42165 | + | 2.96014i | 0.251878 | + | 0.116106i | ||||
\(651\) | 49.4214i | 1.93698i | ||||||||
\(652\) | −19.2872 | + | 3.50118i | −0.755343 | + | 0.137117i | ||||
\(653\) | 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 | ||||
\(658\) | 72.6913 | + | 22.7182i | 2.83380 | + | 0.885649i | ||||
\(659\) | −42.7307 | −1.66455 | −0.832275 | − | 0.554363i | \(-0.812962\pi\) | ||||
−0.832275 | + | 0.554363i | \(0.812962\pi\) | |||||||
\(660\) | −20.5346 | − | 5.85230i | −0.799309 | − | 0.227800i | ||||
\(661\) | 16.6982 | 0.649483 | 0.324742 | − | 0.945803i | \(-0.394723\pi\) | ||||
0.324742 | + | 0.945803i | \(0.394723\pi\) | |||||||
\(662\) | −5.74689 | − | 1.79608i | −0.223359 | − | 0.0698064i | ||||
\(663\) | 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 | ||||
\(668\) | −1.08423 | − | 5.97274i | −0.0419500 | − | 0.231092i | ||||
\(669\) | − | 34.4154i | − | 1.33058i | ||||||
\(670\) | −0.160419 | − | 6.34526i | −0.00619754 | − | 0.245139i | ||||
\(671\) | 14.5859i | 0.563083i | ||||||||
\(672\) | −67.9513 | + | 3.82526i | −2.62128 | + | 0.147563i | ||||
\(673\) | −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 | \(0.323689\pi\) | |||||||
\(678\) | −5.83015 | + | 18.6547i | −0.223906 | + | 0.716429i | ||||
\(679\) | 7.58040 | 0.290909 | ||||||||
\(680\) | 19.1919 | + | 12.5890i | 0.735975 | + | 0.482764i | ||||
\(681\) | 60.8025 | 2.32996 | ||||||||
\(682\) | −3.06450 | + | 9.80545i | −0.117346 | + | 0.375470i | ||||
\(683\) | 9.22992 | − | 9.22992i | 0.353173 | − | 0.353173i | −0.508116 | − | 0.861289i | \(-0.669658\pi\) |
0.861289 | + | 0.508116i | \(0.169658\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | 2.22100 | + | 1.00854i | 0.0846748 | + | 0.0384501i | ||||
\(689\) | − | 14.4437i | − | 0.550263i | ||||||
\(690\) | 22.7884 | − | 23.9706i | 0.867541 | − | 0.912545i | ||||
\(691\) | 11.7811i | 0.448175i | 0.974569 | + | 0.224088i | \(0.0719402\pi\) | ||||
−0.974569 | + | 0.224088i | \(0.928060\pi\) | |||||||
\(692\) | −0.708289 | − | 3.90180i | −0.0269251 | − | 0.148324i | ||||
\(693\) | −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 | ||||
\(698\) | −35.0389 | − | 10.9507i | −1.32624 | − | 0.414490i | ||||
\(699\) | −24.4166 | −0.923521 | ||||||||
\(700\) | −29.8777 | + | 33.0621i | −1.12927 | + | 1.24963i | ||||
\(701\) | −40.8964 | −1.54464 | −0.772318 | − | 0.635236i | \(-0.780903\pi\) | ||||
−0.772318 | + | 0.635236i | \(0.780903\pi\) | |||||||
\(702\) | 4.69887 | + | 1.46854i | 0.177348 | + | 0.0554265i | ||||
\(703\) | 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 | ||||
\(708\) | −37.3751 | + | 6.78467i | −1.40464 | + | 0.254983i | ||||
\(709\) | 10.0408i | 0.377091i | 0.982064 | + | 0.188546i | \(0.0603774\pi\) | ||||
−0.982064 | + | 0.188546i | \(0.939623\pi\) | |||||||
\(710\) | 24.8719 | − | 26.1621i | 0.933426 | − | 0.981848i | ||||
\(711\) | − | 28.5618i | − | 1.07115i | ||||||
\(712\) | 13.9580 | + | 17.9084i | 0.523099 | + | 0.671147i | ||||
\(713\) | −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 | ||||
\(718\) | 7.08431 | − | 22.6676i | 0.264384 | − | 0.845948i | ||||
\(719\) | 27.5425 | 1.02716 | 0.513581 | − | 0.858041i | \(-0.328319\pi\) | ||||
0.513581 | + | 0.858041i | \(0.328319\pi\) | |||||||
\(720\) | −3.75615 | + | 38.1808i | −0.139983 | + | 1.42291i | ||||
\(721\) | −1.65589 | −0.0616685 | ||||||||
\(722\) | 7.37311 | − | 23.5917i | 0.274399 | − | 0.877991i | ||||
\(723\) | 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 | 0.981258 | − | 0.192698i | \(-0.0617238\pi\) |
−0.192698 | + | 0.981258i | \(0.561724\pi\) | |||||||
\(728\) | 7.74825 | + | 9.94118i | 0.287169 | + | 0.368444i | ||||
\(729\) | − | 43.0776i | − | 1.59547i | ||||||
\(730\) | 0.623281 | + | 24.6534i | 0.0230687 | + | 0.912462i | ||||
\(731\) | − | 2.21307i | − | 0.0818533i | ||||||
\(732\) | 43.8211 | − | 7.95479i | 1.61967 | − | 0.294018i | ||||
\(733\) | −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 | ||||
\(738\) | −67.3172 | − | 21.0387i | −2.47798 | − | 0.774444i | ||||
\(739\) | 1.11147 | 0.0408861 | 0.0204430 | − | 0.999791i | \(-0.493492\pi\) | ||||
0.0204430 | + | 0.999791i | \(0.493492\pi\) | |||||||
\(740\) | 2.68771 | − | 9.43067i | 0.0988022 | − | 0.346678i | ||||
\(741\) | 3.33132 | 0.122379 | ||||||||
\(742\) | 86.8807 | + | 27.1528i | 3.18949 | + | 0.996812i | ||||
\(743\) | −32.4947 | + | 32.4947i | −1.19211 | + | 1.19211i | −0.215642 | + | 0.976472i | \(0.569184\pi\) |
−0.976472 | + | 0.215642i | \(0.930816\pi\) | |||||||
\(744\) | 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 | ||||
\(748\) | 2.29254 | + | 12.6291i | 0.0838237 | + | 0.461765i | ||||
\(749\) | 8.20696i | 0.299876i | ||||||||
\(750\) | 26.8973 | + | 33.1492i | 0.982151 | + | 1.21044i | ||||
\(751\) | 22.7914i | 0.831668i | 0.909440 | + | 0.415834i | \(0.136510\pi\) | ||||
−0.909440 | + | 0.415834i | \(0.863490\pi\) | |||||||
\(752\) | 19.9863 | − | 44.0138i | 0.728826 | − | 1.60502i | ||||
\(753\) | 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 | \(0.0709133\pi\) | |||||||
\(758\) | 3.33208 | − | 10.6616i | 0.121027 | − | 0.387248i | ||||
\(759\) | 18.4958 | 0.671357 | ||||||||
\(760\) | 1.58743 | + | 7.64055i | 0.0575823 | + | 0.277152i | ||||
\(761\) | 40.7964 | 1.47887 | 0.739433 | − | 0.673230i | \(-0.235093\pi\) | ||||
0.739433 | + | 0.673230i | \(0.235093\pi\) | |||||||
\(762\) | −7.70173 | + | 24.6432i | −0.279004 | + | 0.892727i | ||||
\(763\) | 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 | ||||
\(768\) | −2.89659 | + | 43.1009i | −0.104522 | + | 1.55527i | ||||
\(769\) | − | 9.81657i | − | 0.353994i | −0.984211 | − | 0.176997i | \(-0.943362\pi\) | ||
0.984211 | − | 0.176997i | \(-0.0566384\pi\) | |||||||
\(770\) | −24.9122 | + | 0.629824i | −0.897773 | + | 0.0226973i | ||||
\(771\) | 34.4054i | 1.23908i | ||||||||
\(772\) | 5.60677 | + | 30.8864i | 0.201792 | + | 1.11163i | ||||
\(773\) | 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 | ||||
\(778\) | 1.35521 | + | 0.423543i | 0.0485865 | + | 0.0151847i | ||||
\(779\) | −14.3459 | −0.513995 | ||||||||
\(780\) | 10.5509 | − | 5.87077i | 0.377782 | − | 0.210207i | ||||
\(781\) | 20.1869 | 0.722343 | ||||||||
\(782\) | −18.9767 | − | 5.93078i | −0.678604 | − | 0.212084i | ||||
\(783\) | −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 | 0.824342 | − | 0.566092i | \(-0.191545\pi\) |
−0.566092 | + | 0.824342i | \(0.691545\pi\) | |||||||
\(788\) | −12.0648 | + | 2.19012i | −0.429792 | + | 0.0780197i | ||||
\(789\) | − | 1.80481i | − | 0.0642531i | ||||||
\(790\) | −15.2610 | − | 14.5084i | −0.542963 | − | 0.516186i | ||||
\(791\) | 22.8103i | 0.811040i | ||||||||
\(792\) | −16.9219 | + | 13.1891i | −0.601293 | + | 0.468654i | ||||
\(793\) | −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 | \(0.189085\pi\) | |||||||
\(798\) | −6.26255 | + | 20.0382i | −0.221692 | + | 0.709346i | ||||
\(799\) | −43.8567 | −1.55154 | ||||||||
\(800\) | 18.4926 | + | 21.4015i | 0.653813 | + | 0.756657i | ||||
\(801\) | 34.4332 | 1.21664 | ||||||||
\(802\) | 6.84109 | − | 21.8894i | 0.241567 | − | 0.772941i | ||||
\(803\) | −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 | ||||
\(808\) | −0.833348 | + | 0.649520i | −0.0293171 | + | 0.0228500i | ||||
\(809\) | 11.9085i | 0.418681i | 0.977843 | + | 0.209340i | \(0.0671317\pi\) | ||||
−0.977843 | + | 0.209340i | \(0.932868\pi\) | |||||||
\(810\) | −7.95168 | − | 7.55953i | −0.279394 | − | 0.265615i | ||||
\(811\) | 16.8007i | 0.589951i | 0.955505 | + | 0.294976i | \(0.0953115\pi\) | ||||
−0.955505 | + | 0.294976i | \(0.904688\pi\) | |||||||
\(812\) | −24.1327 | + | 4.38079i | −0.846892 | + | 0.153735i | ||||
\(813\) | 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 | ||||
\(818\) | −35.3523 | − | 11.0486i | −1.23606 | − | 0.386307i | ||||
\(819\) | 19.1142 | 0.667906 | ||||||||
\(820\) | −45.4361 | + | 25.2817i | −1.58670 | + | 0.882877i | ||||
\(821\) | −8.44881 | −0.294865 | −0.147433 | − | 0.989072i | \(-0.547101\pi\) | ||||
−0.147433 | + | 0.989072i | \(0.547101\pi\) | |||||||
\(822\) | −64.2156 | − | 20.0693i | −2.23978 | − | 0.699998i | ||||
\(823\) | 15.5348 | − | 15.5348i | 0.541510 | − | 0.541510i | −0.382462 | − | 0.923971i | \(-0.624924\pi\) |
0.923971 | + | 0.382462i | \(0.124924\pi\) | |||||||
\(824\) | −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 | 0.355999 | − | 0.934486i | \(-0.384141\pi\) |
−0.934486 | + | 0.355999i | \(0.884141\pi\) | |||||||
\(828\) | −5.93570 | − | 32.6984i | −0.206280 | − | 1.13635i | ||||
\(829\) | − | 13.4606i | − | 0.467506i | −0.972296 | − | 0.233753i | \(-0.924899\pi\) | ||
0.972296 | − | 0.233753i | \(-0.0751008\pi\) | |||||||
\(830\) | −17.5503 | + | 0.443703i | −0.609180 | + | 0.0154012i | ||||
\(831\) | 80.5040i | 2.79265i | ||||||||
\(832\) | 6.86693 | − | 4.10431i | 0.238068 | − | 0.142291i | ||||
\(833\) | 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 | ||||
\(838\) | −14.6537 | + | 46.8873i | −0.506204 | + | 1.61970i | ||||
\(839\) | 32.7296 | 1.12995 | 0.564976 | − | 0.825107i | \(-0.308885\pi\) | ||||
0.564976 | + | 0.825107i | \(0.308885\pi\) | |||||||
\(840\) | 15.4787 | + | 74.5012i | 0.534065 | + | 2.57054i | ||||
\(841\) | 21.4264 | 0.738842 | ||||||||
\(842\) | 8.03798 | − | 25.7190i | 0.277007 | − | 0.886337i | ||||
\(843\) | −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 | ||||
\(848\) | 23.8877 | − | 52.6054i | 0.820305 | − | 1.80648i | ||||
\(849\) | 5.38619i | 0.184854i | ||||||||
\(850\) | 10.7426 | − | 23.3047i | 0.368468 | − | 0.799345i | ||||
\(851\) | 8.49435i | 0.291183i | ||||||||
\(852\) | −11.0094 | − | 60.6482i | −0.377176 | − | 2.07777i | ||||
\(853\) | −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 | \(0.201918\pi\) | |||||||
\(858\) | 6.44477 | + | 2.01418i | 0.220021 | + | 0.0687631i | ||||
\(859\) | 35.7941 | 1.22128 | 0.610640 | − | 0.791909i | \(-0.290912\pi\) | ||||
0.610640 | + | 0.791909i | \(0.290912\pi\) | |||||||
\(860\) | 0.747471 | − | 2.62274i | 0.0254886 | − | 0.0894347i | ||||
\(861\) | −139.883 | −4.76722 | ||||||||
\(862\) | −35.9886 | − | 11.2475i | −1.22578 | − | 0.383092i | ||||
\(863\) | 19.9831 | − | 19.9831i | 0.680234 | − | 0.680234i | −0.279819 | − | 0.960053i | \(-0.590274\pi\) |
0.960053 | + | 0.279819i | \(0.0902745\pi\) | |||||||
\(864\) | 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 | ||||
\(868\) | 36.0213 | − | 6.53892i | 1.22264 | − | 0.221945i | ||||
\(869\) | − | 11.7755i | − | 0.399457i | ||||||
\(870\) | 0.593833 | + | 23.4886i | 0.0201328 | + | 0.796337i | ||||
\(871\) | 2.00719i | 0.0680110i | ||||||||
\(872\) | −29.4622 | − | 37.8006i | −0.997715 | − | 1.28009i | ||||
\(873\) | −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 | \(0.384737\pi\) | |||||||
\(878\) | −11.9805 | + | 38.3339i | −0.404322 | + | 1.29371i | ||||
\(879\) | −0.171044 | −0.00576916 | ||||||||
\(880\) | −1.54859 | + | 15.7412i | −0.0522029 | + | 0.530636i | ||||
\(881\) | −2.37111 | −0.0798846 | −0.0399423 | − | 0.999202i | \(-0.512717\pi\) | ||||
−0.0399423 | + | 0.999202i | \(0.512717\pi\) | |||||||
\(882\) | −23.2663 | + | 74.4451i | −0.783419 | + | 2.50670i | ||||
\(883\) | 6.40247 | − | 6.40247i | 0.215460 | − | 0.215460i | −0.591122 | − | 0.806582i | \(-0.701315\pi\) |
0.806582 | + | 0.591122i | \(0.201315\pi\) | |||||||
\(884\) | −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 | 0.641946 | − | 0.766750i | \(-0.278127\pi\) |
−0.766750 | + | 0.641946i | \(0.778127\pi\) | |||||||
\(888\) | −10.2936 | − | 13.2069i | −0.345431 | − | 0.443196i | ||||
\(889\) | 30.1328i | 1.01062i | ||||||||
\(890\) | 17.4909 | − | 18.3982i | 0.586295 | − | 0.616709i | ||||
\(891\) | − | 6.13556i | − | 0.205549i | ||||||
\(892\) | −25.0841 | + | 4.55349i | −0.839877 | + | 0.152462i | ||||
\(893\) | −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 | ||||
\(898\) | 30.5219 | + | 9.53902i | 1.01853 | + | 0.318321i | ||||
\(899\) | 11.3046 | 0.377030 | ||||||||
\(900\) | 42.8387 | − | 2.16746i | 1.42796 | − | 0.0722488i | ||||
\(901\) | −52.4175 | −1.74628 | ||||||||
\(902\) | −27.7536 | − | 8.67384i | −0.924094 | − | 0.288807i | ||||
\(903\) | 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 | 0.450576 | − | 0.892738i | \(-0.351219\pi\) |
−0.892738 | + | 0.450576i | \(0.851219\pi\) | |||||||
\(908\) | −8.04475 | − | 44.3166i | −0.266974 | − | 1.47070i | ||||
\(909\) | 1.60231i | 0.0531452i | ||||||||
\(910\) | 9.70937 | − | 10.2130i | 0.321862 | − | 0.338559i | ||||
\(911\) | − | 3.08331i | − | 0.102155i | −0.998695 | − | 0.0510773i | \(-0.983735\pi\) | ||
0.998695 | − | 0.0510773i | \(-0.0162655\pi\) | |||||||
\(912\) | 12.1329 | + | 5.50947i | 0.401762 | + | 0.182437i | ||||
\(913\) | −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 | ||||
\(918\) | 5.32945 | − | 17.0526i | 0.175898 | − | 0.562820i | ||||
\(919\) | −26.4761 | −0.873367 | −0.436684 | − | 0.899615i | \(-0.643847\pi\) | ||||
−0.436684 | + | 0.899615i | \(0.643847\pi\) | |||||||
\(920\) | −20.4864 | − | 13.4381i | −0.675416 | − | 0.443041i | ||||
\(921\) | 0.438719 | 0.0144563 | ||||||||
\(922\) | 12.1226 | − | 38.7884i | 0.399235 | − | 1.27743i | ||||
\(923\) | −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 | ||||
\(928\) | 0.874987 | + | 15.5431i | 0.0287229 | + | 0.510229i | ||||
\(929\) | − | 15.3901i | − | 0.504931i | −0.967606 | − | 0.252466i | \(-0.918759\pi\) | ||
0.967606 | − | 0.252466i | \(-0.0812415\pi\) | |||||||
\(930\) | −0.886376 | − | 35.0599i | −0.0290654 | − | 1.14966i | ||||
\(931\) | 15.8649i | 0.519952i | ||||||||
\(932\) | 3.23055 | + | 17.7963i | 0.105820 | + | 0.582938i | ||||
\(933\) | 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 | \(0.0223310\pi\) | |||||||
\(938\) | −12.0735 | − | 3.77332i | −0.394212 | − | 0.123203i | ||||
\(939\) | −12.7269 | −0.415326 | ||||||||
\(940\) | −51.9752 | − | 14.8128i | −1.69524 | − | 0.483139i | ||||
\(941\) | −38.8299 | −1.26582 | −0.632910 | − | 0.774225i | \(-0.718140\pi\) | ||||
−0.632910 | + | 0.774225i | \(0.718140\pi\) | |||||||
\(942\) | 20.5476 | + | 6.42173i | 0.669476 | + | 0.209231i | ||||
\(943\) | 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 | \(0.0288089\pi\) |
0.0903825 | + | 0.995907i | \(0.471191\pi\) | |||||||
\(948\) | −35.3776 | + | 6.42207i | −1.14901 | + | 0.208579i | ||||
\(949\) | − | 7.79857i | − | 0.253152i | ||||||
\(950\) | 8.18544 | − | 3.02010i | 0.265571 | − | 0.0979851i | ||||
\(951\) | − | 56.1177i | − | 1.81974i | ||||||
\(952\) | 36.0774 | − | 28.1191i | 1.16927 | − | 0.911344i | ||||
\(953\) | 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 | ||||
\(958\) | −1.72258 | + | 5.51171i | −0.0556539 | + | 0.178075i | ||||
\(959\) | −78.5206 | −2.53556 | ||||||||
\(960\) | 48.1366 | − | 3.93238i | 1.55360 | − | 0.126917i | ||||
\(961\) | 14.1263 | 0.455688 | ||||||||
\(962\) | −0.925029 | + | 2.95981i | −0.0298241 | + | 0.0954280i | ||||
\(963\) | 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 | 0.777930 | − | 0.628351i | \(-0.216270\pi\) |
−0.628351 | + | 0.777930i | \(0.716270\pi\) | |||||||
\(968\) | 17.5629 | − | 13.6887i | 0.564492 | − | 0.439971i | ||||
\(969\) | − | 12.0896i | − | 0.388375i | ||||||
\(970\) | −5.37759 | + | 0.135955i | −0.172664 | + | 0.00436525i | ||||
\(971\) | 27.6220i | 0.886434i | 0.896414 | + | 0.443217i | \(0.146163\pi\) | ||||
−0.896414 | + | 0.443217i | \(0.853837\pi\) | |||||||
\(972\) | −38.9840 | + | 7.07673i | −1.25041 | + | 0.226986i | ||||
\(973\) | −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 | \(-0.0763197\pi\) | |||||||
\(978\) | 35.7191 | + | 11.1633i | 1.14217 | + | 0.356963i | ||||
\(979\) | 14.1961 | 0.453711 | ||||||||
\(980\) | 27.9587 | + | 50.2471i | 0.893108 | + | 1.60508i | ||||
\(981\) | −72.6805 | −2.32051 | ||||||||
\(982\) | 9.55882 | + | 2.98742i | 0.305034 | + | 0.0953324i | ||||
\(983\) | −10.6381 | + | 10.6381i | −0.339301 | + | 0.339301i | −0.856104 | − | 0.516803i | \(-0.827122\pi\) |
0.516803 | + | 0.856104i | \(0.327122\pi\) | |||||||
\(984\) | −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 | ||||
\(988\) | −0.440765 | − | 2.42807i | −0.0140226 | − | 0.0772472i | ||||
\(989\) | 2.36234i | 0.0751181i | ||||||||
\(990\) | 17.3847 | + | 16.5273i | 0.552521 | + | 0.525272i | ||||
\(991\) | − | 53.1372i | − | 1.68796i | −0.536376 | − | 0.843979i | \(-0.680207\pi\) | ||
0.536376 | − | 0.843979i | \(-0.319793\pi\) | |||||||
\(992\) | −1.30604 | − | 23.2002i | −0.0414667 | − | 0.736609i | ||||
\(993\) | 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 | \(-0.0380705\pi\) | |||||||
\(998\) | 8.54319 | − | 27.3356i | 0.270430 | − | 0.865292i | ||||
\(999\) | −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.183.16 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.4 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.4 | ✓ | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.16 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.4 | ✓ | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.27.16 | yes | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.183.4 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.16 | yes | 72 | 1.1 | even | 1 | trivial |