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 | 183.26 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.26 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.904262 | + | 1.08734i | 0.639410 | + | 0.768866i | ||||
\(3\) | −1.78782 | + | 1.78782i | −1.03220 | + | 1.03220i | −0.0327341 | + | 0.999464i | \(0.510421\pi\) |
−0.999464 | + | 0.0327341i | \(0.989579\pi\) | |||||||
\(4\) | −0.364619 | + | 1.96648i | −0.182310 | + | 0.983241i | ||||
\(5\) | −1.34049 | − | 1.78972i | −0.599486 | − | 0.800385i | ||||
\(6\) | −3.56063 | − | 0.327311i | −1.45362 | − | 0.133624i | ||||
\(7\) | −2.34459 | − | 2.34459i | −0.886173 | − | 0.886173i | 0.107980 | − | 0.994153i | \(-0.465562\pi\) |
−0.994153 | + | 0.107980i | \(0.965562\pi\) | |||||||
\(8\) | −2.46795 | + | 1.38175i | −0.872551 | + | 0.488522i | ||||
\(9\) | − | 3.39260i | − | 1.13087i | ||||||
\(10\) | 0.733875 | − | 3.07594i | 0.232072 | − | 0.972699i | ||||
\(11\) | 5.90452i | 1.78028i | 0.455687 | + | 0.890140i | \(0.349394\pi\) | ||||
−0.455687 | + | 0.890140i | \(0.650606\pi\) | |||||||
\(12\) | −2.86384 | − | 4.16759i | −0.826720 | − | 1.20308i | ||||
\(13\) | −0.707107 | − | 0.707107i | −0.196116 | − | 0.196116i | ||||
\(14\) | 0.429245 | − | 4.66950i | 0.114720 | − | 1.24798i | ||||
\(15\) | 5.59625 | + | 0.803133i | 1.44494 | + | 0.207368i | ||||
\(16\) | −3.73411 | − | 1.43404i | −0.933526 | − | 0.358509i | ||||
\(17\) | −0.975710 | + | 0.975710i | −0.236644 | + | 0.236644i | −0.815459 | − | 0.578815i | \(-0.803515\pi\) |
0.578815 | + | 0.815459i | \(0.303515\pi\) | |||||||
\(18\) | 3.68891 | − | 3.06780i | 0.869485 | − | 0.723087i | ||||
\(19\) | −2.12103 | −0.486597 | −0.243298 | − | 0.969952i | \(-0.578229\pi\) | ||||
−0.243298 | + | 0.969952i | \(0.578229\pi\) | |||||||
\(20\) | 4.00821 | − | 1.98349i | 0.896264 | − | 0.443521i | ||||
\(21\) | 8.38342 | 1.82941 | ||||||||
\(22\) | −6.42023 | + | 5.33924i | −1.36880 | + | 1.13833i | ||||
\(23\) | 3.10133 | − | 3.10133i | 0.646673 | − | 0.646673i | −0.305515 | − | 0.952187i | \(-0.598829\pi\) |
0.952187 | + | 0.305515i | \(0.0988285\pi\) | |||||||
\(24\) | 1.94193 | − | 6.88257i | 0.396394 | − | 1.40490i | ||||
\(25\) | −1.40617 | + | 4.79820i | −0.281233 | + | 0.959639i | ||||
\(26\) | 0.129456 | − | 1.40828i | 0.0253884 | − | 0.276186i | ||||
\(27\) | 0.701895 | + | 0.701895i | 0.135080 | + | 0.135080i | ||||
\(28\) | 5.46549 | − | 3.75572i | 1.03288 | − | 0.709764i | ||||
\(29\) | 5.56185i | 1.03281i | 0.856345 | + | 0.516405i | \(0.172730\pi\) | ||||
−0.856345 | + | 0.516405i | \(0.827270\pi\) | |||||||
\(30\) | 4.18720 | + | 6.81127i | 0.764474 | + | 1.24356i | ||||
\(31\) | 7.23441i | 1.29934i | 0.760217 | + | 0.649669i | \(0.225092\pi\) | ||||
−0.760217 | + | 0.649669i | \(0.774908\pi\) | |||||||
\(32\) | −1.81733 | − | 5.35699i | −0.321261 | − | 0.946991i | ||||
\(33\) | −10.5562 | − | 10.5562i | −1.83760 | − | 1.83760i | ||||
\(34\) | −1.94323 | − | 0.178631i | −0.333261 | − | 0.0306350i | ||||
\(35\) | −1.05325 | + | 7.33907i | −0.178032 | + | 1.24053i | ||||
\(36\) | 6.67149 | + | 1.23701i | 1.11191 | + | 0.206168i | ||||
\(37\) | −2.19333 | + | 2.19333i | −0.360582 | + | 0.360582i | −0.864027 | − | 0.503445i | \(-0.832066\pi\) |
0.503445 | + | 0.864027i | \(0.332066\pi\) | |||||||
\(38\) | −1.91796 | − | 2.30628i | −0.311135 | − | 0.374128i | ||||
\(39\) | 2.52836 | 0.404861 | ||||||||
\(40\) | 5.78120 | + | 2.56470i | 0.914088 | + | 0.405515i | ||||
\(41\) | −0.538879 | −0.0841588 | −0.0420794 | − | 0.999114i | \(-0.513398\pi\) | ||||
−0.0420794 | + | 0.999114i | \(0.513398\pi\) | |||||||
\(42\) | 7.58081 | + | 9.11564i | 1.16974 | + | 1.40657i | ||||
\(43\) | −5.78842 | + | 5.78842i | −0.882726 | + | 0.882726i | −0.993811 | − | 0.111085i | \(-0.964568\pi\) |
0.111085 | + | 0.993811i | \(0.464568\pi\) | |||||||
\(44\) | −11.6111 | − | 2.15290i | −1.75044 | − | 0.324562i | ||||
\(45\) | −6.07179 | + | 4.54775i | −0.905129 | + | 0.677938i | ||||
\(46\) | 6.17662 | + | 0.567787i | 0.910693 | + | 0.0837156i | ||||
\(47\) | −3.98616 | − | 3.98616i | −0.581441 | − | 0.581441i | 0.353858 | − | 0.935299i | \(-0.384870\pi\) |
−0.935299 | + | 0.353858i | \(0.884870\pi\) | |||||||
\(48\) | 9.23970 | − | 4.11211i | 1.33364 | − | 0.593532i | ||||
\(49\) | 3.99424i | 0.570606i | ||||||||
\(50\) | −6.48882 | + | 2.80985i | −0.917657 | + | 0.397372i | ||||
\(51\) | − | 3.48879i | − | 0.488528i | ||||||
\(52\) | 1.64834 | − | 1.13269i | 0.228583 | − | 0.157076i | ||||
\(53\) | 7.09286 | + | 7.09286i | 0.974279 | + | 0.974279i | 0.999677 | − | 0.0253982i | \(-0.00808537\pi\) |
−0.0253982 | + | 0.999677i | \(0.508085\pi\) | |||||||
\(54\) | −0.128502 | + | 1.39790i | −0.0174869 | + | 0.190230i | ||||
\(55\) | 10.5674 | − | 7.91496i | 1.42491 | − | 1.06725i | ||||
\(56\) | 9.02598 | + | 2.54669i | 1.20615 | + | 0.340316i | ||||
\(57\) | 3.79201 | − | 3.79201i | 0.502264 | − | 0.502264i | ||||
\(58\) | −6.04762 | + | 5.02937i | −0.794092 | + | 0.660388i | ||||
\(59\) | 3.05954 | 0.398319 | 0.199159 | − | 0.979967i | \(-0.436179\pi\) | ||||
0.199159 | + | 0.979967i | \(0.436179\pi\) | |||||||
\(60\) | −3.61985 | + | 10.7121i | −0.467320 | + | 1.38292i | ||||
\(61\) | 8.82521 | 1.12995 | 0.564976 | − | 0.825107i | \(-0.308885\pi\) | ||||
0.564976 | + | 0.825107i | \(0.308885\pi\) | |||||||
\(62\) | −7.86626 | + | 6.54180i | −0.999016 | + | 0.830809i | ||||
\(63\) | −7.95427 | + | 7.95427i | −1.00214 | + | 1.00214i | ||||
\(64\) | 4.18153 | − | 6.82017i | 0.522692 | − | 0.852522i | ||||
\(65\) | −0.317650 | + | 2.21339i | −0.0393996 | + | 0.274537i | ||||
\(66\) | 1.93262 | − | 21.0238i | 0.237889 | − | 2.58785i | ||||
\(67\) | −2.58148 | − | 2.58148i | −0.315378 | − | 0.315378i | 0.531611 | − | 0.846989i | \(-0.321587\pi\) |
−0.846989 | + | 0.531611i | \(0.821587\pi\) | |||||||
\(68\) | −1.56295 | − | 2.27448i | −0.189536 | − | 0.275821i | ||||
\(69\) | 11.0892i | 1.33499i | ||||||||
\(70\) | −8.93248 | + | 5.49120i | −1.06764 | + | 0.656324i | ||||
\(71\) | − | 8.53161i | − | 1.01252i | −0.862382 | − | 0.506258i | \(-0.831028\pi\) | ||
0.862382 | − | 0.506258i | \(-0.168972\pi\) | |||||||
\(72\) | 4.68772 | + | 8.37276i | 0.552454 | + | 0.986739i | ||||
\(73\) | 2.76749 | + | 2.76749i | 0.323910 | + | 0.323910i | 0.850265 | − | 0.526355i | \(-0.176442\pi\) |
−0.526355 | + | 0.850265i | \(0.676442\pi\) | |||||||
\(74\) | −4.36825 | − | 0.401552i | −0.507798 | − | 0.0466795i | ||||
\(75\) | −6.06434 | − | 11.0923i | −0.700250 | − | 1.28083i | ||||
\(76\) | 0.773367 | − | 4.17096i | 0.0887113 | − | 0.478442i | ||||
\(77\) | 13.8437 | − | 13.8437i | 1.57764 | − | 1.57764i | ||||
\(78\) | 2.28630 | + | 2.74919i | 0.258872 | + | 0.311284i | ||||
\(79\) | −7.02598 | −0.790484 | −0.395242 | − | 0.918577i | \(-0.629339\pi\) | ||||
−0.395242 | + | 0.918577i | \(0.629339\pi\) | |||||||
\(80\) | 2.43902 | + | 8.60530i | 0.272691 | + | 0.962102i | ||||
\(81\) | 7.66807 | 0.852008 | ||||||||
\(82\) | −0.487288 | − | 0.585945i | −0.0538120 | − | 0.0647068i | ||||
\(83\) | 6.93558 | − | 6.93558i | 0.761279 | − | 0.761279i | −0.215275 | − | 0.976554i | \(-0.569065\pi\) |
0.976554 | + | 0.215275i | \(0.0690646\pi\) | |||||||
\(84\) | −3.05676 | + | 16.4859i | −0.333520 | + | 1.79875i | ||||
\(85\) | 3.05417 | + | 0.438313i | 0.331272 | + | 0.0475417i | ||||
\(86\) | −11.5282 | − | 1.05974i | −1.24312 | − | 0.114274i | ||||
\(87\) | −9.94358 | − | 9.94358i | −1.06606 | − | 1.06606i | ||||
\(88\) | −8.15857 | − | 14.5721i | −0.869707 | − | 1.55339i | ||||
\(89\) | − | 9.42448i | − | 0.998993i | −0.866316 | − | 0.499496i | \(-0.833518\pi\) | ||
0.866316 | − | 0.499496i | \(-0.166482\pi\) | |||||||
\(90\) | −10.4354 | − | 2.48974i | −1.09999 | − | 0.262442i | ||||
\(91\) | 3.31576i | 0.347586i | ||||||||
\(92\) | 4.96791 | + | 7.22952i | 0.517940 | + | 0.753730i | ||||
\(93\) | −12.9338 | − | 12.9338i | −1.34117 | − | 1.34117i | ||||
\(94\) | 0.729780 | − | 7.93885i | 0.0752710 | − | 0.818829i | ||||
\(95\) | 2.84322 | + | 3.79603i | 0.291708 | + | 0.389465i | ||||
\(96\) | 12.8264 | + | 6.32828i | 1.30909 | + | 0.645877i | ||||
\(97\) | −11.8148 | + | 11.8148i | −1.19961 | + | 1.19961i | −0.225322 | + | 0.974284i | \(0.572343\pi\) |
−0.974284 | + | 0.225322i | \(0.927657\pi\) | |||||||
\(98\) | −4.34310 | + | 3.61184i | −0.438720 | + | 0.364851i | ||||
\(99\) | 20.0317 | 2.01326 | ||||||||
\(100\) | −8.92285 | − | 4.51472i | −0.892285 | − | 0.451472i | ||||
\(101\) | −4.69937 | −0.467605 | −0.233803 | − | 0.972284i | \(-0.575117\pi\) | ||||
−0.233803 | + | 0.972284i | \(0.575117\pi\) | |||||||
\(102\) | 3.79350 | − | 3.15478i | 0.375612 | − | 0.312369i | ||||
\(103\) | 0.855000 | − | 0.855000i | 0.0842456 | − | 0.0842456i | −0.663728 | − | 0.747974i | \(-0.731027\pi\) |
0.747974 | + | 0.663728i | \(0.231027\pi\) | |||||||
\(104\) | 2.72215 | + | 0.768058i | 0.266929 | + | 0.0753143i | ||||
\(105\) | −11.2379 | − | 15.0039i | −1.09671 | − | 1.46424i | ||||
\(106\) | −1.29855 | + | 14.1262i | −0.126126 | + | 1.37205i | ||||
\(107\) | 12.9913 | + | 12.9913i | 1.25591 | + | 1.25591i | 0.953026 | + | 0.302889i | \(0.0979510\pi\) |
0.302889 | + | 0.953026i | \(0.402049\pi\) | |||||||
\(108\) | −1.63619 | + | 1.12434i | −0.157442 | + | 0.108190i | ||||
\(109\) | − | 2.62288i | − | 0.251226i | −0.992079 | − | 0.125613i | \(-0.959910\pi\) | ||
0.992079 | − | 0.125613i | \(-0.0400898\pi\) | |||||||
\(110\) | 18.1620 | + | 4.33318i | 1.73168 | + | 0.413153i | ||||
\(111\) | − | 7.84257i | − | 0.744383i | ||||||
\(112\) | 5.39273 | + | 12.1172i | 0.509565 | + | 1.14497i | ||||
\(113\) | 10.8980 | + | 10.8980i | 1.02520 | + | 1.02520i | 0.999674 | + | 0.0255277i | \(0.00812660\pi\) |
0.0255277 | + | 0.999674i | \(0.491873\pi\) | |||||||
\(114\) | 7.55218 | + | 0.694235i | 0.707326 | + | 0.0650211i | ||||
\(115\) | −9.70781 | − | 1.39320i | −0.905258 | − | 0.129916i | ||||
\(116\) | −10.9373 | − | 2.02796i | −1.01550 | − | 0.188291i | ||||
\(117\) | −2.39893 | + | 2.39893i | −0.221781 | + | 0.221781i | ||||
\(118\) | 2.76663 | + | 3.32677i | 0.254689 | + | 0.306254i | ||||
\(119\) | 4.57529 | 0.419416 | ||||||||
\(120\) | −14.9210 | + | 5.75052i | −1.36209 | + | 0.524949i | ||||
\(121\) | −23.8634 | −2.16940 | ||||||||
\(122\) | 7.98031 | + | 9.59601i | 0.722503 | + | 0.868782i | ||||
\(123\) | 0.963419 | − | 0.963419i | 0.0868685 | − | 0.0868685i | ||||
\(124\) | −14.2263 | − | 2.63781i | −1.27756 | − | 0.236882i | ||||
\(125\) | 10.4724 | − | 3.91530i | 0.936677 | − | 0.350195i | ||||
\(126\) | −15.8417 | − | 1.45625i | −1.41129 | − | 0.129733i | ||||
\(127\) | −4.31384 | − | 4.31384i | −0.382792 | − | 0.382792i | 0.489315 | − | 0.872107i | \(-0.337247\pi\) |
−0.872107 | + | 0.489315i | \(0.837247\pi\) | |||||||
\(128\) | 11.1971 | − | 1.62048i | 0.989689 | − | 0.143231i | ||||
\(129\) | − | 20.6973i | − | 1.82230i | ||||||
\(130\) | −2.69395 | + | 1.65609i | −0.236275 | + | 0.145249i | ||||
\(131\) | 6.36243i | 0.555888i | 0.960597 | + | 0.277944i | \(0.0896529\pi\) | ||||
−0.960597 | + | 0.277944i | \(0.910347\pi\) | |||||||
\(132\) | 24.6076 | − | 16.9096i | 2.14182 | − | 1.47179i | ||||
\(133\) | 4.97294 | + | 4.97294i | 0.431209 | + | 0.431209i | ||||
\(134\) | 0.472614 | − | 5.14129i | 0.0408276 | − | 0.444140i | ||||
\(135\) | 0.315309 | − | 2.19708i | 0.0271375 | − | 0.189094i | ||||
\(136\) | 1.05981 | − | 3.75619i | 0.0908783 | − | 0.322090i | ||||
\(137\) | −0.675923 | + | 0.675923i | −0.0577480 | + | 0.0577480i | −0.735391 | − | 0.677643i | \(-0.763001\pi\) |
0.677643 | + | 0.735391i | \(0.263001\pi\) | |||||||
\(138\) | −12.0578 | + | 10.0276i | −1.02643 | + | 0.853605i | ||||
\(139\) | 4.46061 | 0.378344 | 0.189172 | − | 0.981944i | \(-0.439420\pi\) | ||||
0.189172 | + | 0.981944i | \(0.439420\pi\) | |||||||
\(140\) | −14.0481 | − | 4.74716i | −1.18728 | − | 0.401209i | ||||
\(141\) | 14.2531 | 1.20032 | ||||||||
\(142\) | 9.27677 | − | 7.71481i | 0.778489 | − | 0.647413i | ||||
\(143\) | 4.17513 | − | 4.17513i | 0.349142 | − | 0.349142i | ||||
\(144\) | −4.86511 | + | 12.6683i | −0.405426 | + | 1.05569i | ||||
\(145\) | 9.95413 | − | 7.45561i | 0.826645 | − | 0.619155i | ||||
\(146\) | −0.506668 | + | 5.51174i | −0.0419321 | + | 0.456155i | ||||
\(147\) | −7.14099 | − | 7.14099i | −0.588979 | − | 0.588979i | ||||
\(148\) | −3.51342 | − | 5.11288i | −0.288801 | − | 0.420276i | ||||
\(149\) | − | 7.40369i | − | 0.606534i | −0.952906 | − | 0.303267i | \(-0.901923\pi\) | ||
0.952906 | − | 0.303267i | \(-0.0980775\pi\) | |||||||
\(150\) | 6.57734 | − | 16.6243i | 0.537037 | − | 1.35737i | ||||
\(151\) | − | 8.25499i | − | 0.671782i | −0.941901 | − | 0.335891i | \(-0.890963\pi\) | ||
0.941901 | − | 0.335891i | \(-0.109037\pi\) | |||||||
\(152\) | 5.23458 | − | 2.93073i | 0.424581 | − | 0.237713i | ||||
\(153\) | 3.31019 | + | 3.31019i | 0.267613 | + | 0.267613i | ||||
\(154\) | 27.5712 | + | 2.53448i | 2.22175 | + | 0.204235i | ||||
\(155\) | 12.9475 | − | 9.69766i | 1.03997 | − | 0.778935i | ||||
\(156\) | −0.921889 | + | 4.97197i | −0.0738102 | + | 0.398076i | ||||
\(157\) | −14.4491 | + | 14.4491i | −1.15316 | + | 1.15316i | −0.167249 | + | 0.985915i | \(0.553488\pi\) |
−0.985915 | + | 0.167249i | \(0.946512\pi\) | |||||||
\(158\) | −6.35333 | − | 7.63963i | −0.505444 | − | 0.607776i | ||||
\(159\) | −25.3615 | −2.01130 | ||||||||
\(160\) | −7.15138 | + | 10.4335i | −0.565366 | + | 0.824840i | ||||
\(161\) | −14.5427 | −1.14613 | ||||||||
\(162\) | 6.93395 | + | 8.33781i | 0.544782 | + | 0.655080i | ||||
\(163\) | −9.14075 | + | 9.14075i | −0.715959 | + | 0.715959i | −0.967775 | − | 0.251816i | \(-0.918972\pi\) |
0.251816 | + | 0.967775i | \(0.418972\pi\) | |||||||
\(164\) | 0.196486 | − | 1.05970i | 0.0153430 | − | 0.0827484i | ||||
\(165\) | −4.74212 | + | 33.0432i | −0.369173 | + | 2.57241i | ||||
\(166\) | 13.8129 | + | 1.26976i | 1.07209 | + | 0.0985521i | ||||
\(167\) | −2.67668 | − | 2.67668i | −0.207128 | − | 0.207128i | 0.595918 | − | 0.803046i | \(-0.296788\pi\) |
−0.803046 | + | 0.595918i | \(0.796788\pi\) | |||||||
\(168\) | −20.6899 | + | 11.5838i | −1.59626 | + | 0.893709i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | 2.28518 | + | 3.71728i | 0.175265 | + | 0.285102i | ||||
\(171\) | 7.19579i | 0.550276i | ||||||||
\(172\) | −9.27226 | − | 13.4934i | −0.707003 | − | 1.02886i | ||||
\(173\) | −4.31314 | − | 4.31314i | −0.327922 | − | 0.327922i | 0.523874 | − | 0.851796i | \(-0.324486\pi\) |
−0.851796 | + | 0.523874i | \(0.824486\pi\) | |||||||
\(174\) | 1.82045 | − | 19.8037i | 0.138008 | − | 1.50131i | ||||
\(175\) | 14.5467 | − | 7.95294i | 1.09963 | − | 0.601185i | ||||
\(176\) | 8.46729 | − | 22.0481i | 0.638246 | − | 1.66194i | ||||
\(177\) | −5.46991 | + | 5.46991i | −0.411144 | + | 0.411144i | ||||
\(178\) | 10.2476 | − | 8.52220i | 0.768092 | − | 0.638766i | ||||
\(179\) | −10.4807 | −0.783364 | −0.391682 | − | 0.920101i | \(-0.628107\pi\) | ||||
−0.391682 | + | 0.920101i | \(0.628107\pi\) | |||||||
\(180\) | −6.72917 | − | 13.5983i | −0.501563 | − | 1.01355i | ||||
\(181\) | −15.5219 | −1.15374 | −0.576868 | − | 0.816837i | \(-0.695725\pi\) | ||||
−0.576868 | + | 0.816837i | \(0.695725\pi\) | |||||||
\(182\) | −3.60536 | + | 2.99831i | −0.267247 | + | 0.222250i | ||||
\(183\) | −15.7779 | + | 15.7779i | −1.16633 | + | 1.16633i | ||||
\(184\) | −3.36866 | + | 11.9392i | −0.248341 | + | 0.880169i | ||||
\(185\) | 6.86559 | + | 0.985299i | 0.504768 | + | 0.0724406i | ||||
\(186\) | 2.36790 | − | 25.7590i | 0.173623 | − | 1.88874i | ||||
\(187\) | −5.76110 | − | 5.76110i | −0.421293 | − | 0.421293i | ||||
\(188\) | 9.29214 | − | 6.38528i | 0.677699 | − | 0.465694i | ||||
\(189\) | − | 3.29132i | − | 0.239408i | ||||||
\(190\) | −1.55657 | + | 6.52415i | −0.112925 | + | 0.473312i | ||||
\(191\) | 13.2435i | 0.958268i | 0.877742 | + | 0.479134i | \(0.159049\pi\) | ||||
−0.877742 | + | 0.479134i | \(0.840951\pi\) | |||||||
\(192\) | 4.71742 | + | 19.6691i | 0.340450 | + | 1.41949i | ||||
\(193\) | −14.6402 | − | 14.6402i | −1.05383 | − | 1.05383i | −0.998466 | − | 0.0553595i | \(-0.982370\pi\) |
−0.0553595 | − | 0.998466i | \(-0.517630\pi\) | |||||||
\(194\) | −23.5303 | − | 2.16303i | −1.68938 | − | 0.155296i | ||||
\(195\) | −3.38924 | − | 4.52504i | −0.242709 | − | 0.324045i | ||||
\(196\) | −7.85461 | − | 1.45638i | −0.561044 | − | 0.104027i | ||||
\(197\) | −17.4045 | + | 17.4045i | −1.24002 | + | 1.24002i | −0.280030 | + | 0.959991i | \(0.590344\pi\) |
−0.959991 | + | 0.280030i | \(0.909656\pi\) | |||||||
\(198\) | 18.1139 | + | 21.7813i | 1.28730 | + | 1.54793i | ||||
\(199\) | 26.2930 | 1.86386 | 0.931930 | − | 0.362639i | \(-0.118124\pi\) | ||||
0.931930 | + | 0.362639i | \(0.118124\pi\) | |||||||
\(200\) | −3.15956 | − | 13.7847i | −0.223415 | − | 0.974723i | ||||
\(201\) | 9.23045 | 0.651066 | ||||||||
\(202\) | −4.24947 | − | 5.10982i | −0.298991 | − | 0.359526i | ||||
\(203\) | 13.0403 | − | 13.0403i | 0.915248 | − | 0.915248i | ||||
\(204\) | 6.86064 | + | 1.27208i | 0.480341 | + | 0.0890634i | ||||
\(205\) | 0.722363 | + | 0.964440i | 0.0504520 | + | 0.0673594i | ||||
\(206\) | 1.70282 | + | 0.156532i | 0.118641 | + | 0.0109061i | ||||
\(207\) | −10.5216 | − | 10.5216i | −0.731300 | − | 0.731300i | ||||
\(208\) | 1.62639 | + | 3.65443i | 0.112770 | + | 0.253389i | ||||
\(209\) | − | 12.5236i | − | 0.866278i | ||||||
\(210\) | 6.15239 | − | 25.7869i | 0.424555 | − | 1.77947i | ||||
\(211\) | − | 6.67079i | − | 0.459236i | −0.973281 | − | 0.229618i | \(-0.926252\pi\) | ||
0.973281 | − | 0.229618i | \(-0.0737477\pi\) | |||||||
\(212\) | −16.5342 | + | 11.3618i | −1.13557 | + | 0.780331i | ||||
\(213\) | 15.2530 | + | 15.2530i | 1.04512 | + | 1.04512i | ||||
\(214\) | −2.37842 | + | 25.8735i | −0.162586 | + | 1.76867i | ||||
\(215\) | 18.1190 | + | 2.60030i | 1.23570 | + | 0.177339i | ||||
\(216\) | −2.70209 | − | 0.762397i | −0.183854 | − | 0.0518746i | ||||
\(217\) | 16.9617 | − | 16.9617i | 1.15144 | − | 1.15144i | ||||
\(218\) | 2.85196 | − | 2.37177i | 0.193159 | − | 0.160636i | ||||
\(219\) | −9.89555 | −0.668679 | ||||||||
\(220\) | 11.7115 | + | 23.6666i | 0.789592 | + | 1.59560i | ||||
\(221\) | 1.37986 | 0.0928195 | ||||||||
\(222\) | 8.52754 | − | 7.09174i | 0.572331 | − | 0.475966i | ||||
\(223\) | −3.91569 | + | 3.91569i | −0.262214 | + | 0.262214i | −0.825953 | − | 0.563739i | \(-0.809362\pi\) |
0.563739 | + | 0.825953i | \(0.309362\pi\) | |||||||
\(224\) | −8.29907 | + | 16.8209i | −0.554505 | + | 1.12389i | ||||
\(225\) | 16.2784 | + | 4.77056i | 1.08522 | + | 0.318037i | ||||
\(226\) | −1.99520 | + | 21.7046i | −0.132719 | + | 1.44377i | ||||
\(227\) | −0.441036 | − | 0.441036i | −0.0292726 | − | 0.0292726i | 0.692319 | − | 0.721592i | \(-0.256589\pi\) |
−0.721592 | + | 0.692319i | \(0.756589\pi\) | |||||||
\(228\) | 6.07428 | + | 8.83956i | 0.402279 | + | 0.585414i | ||||
\(229\) | − | 6.34608i | − | 0.419361i | −0.977770 | − | 0.209680i | \(-0.932758\pi\) | ||
0.977770 | − | 0.209680i | \(-0.0672423\pi\) | |||||||
\(230\) | −7.26353 | − | 11.8155i | −0.478943 | − | 0.779092i | ||||
\(231\) | 49.5001i | 3.25687i | ||||||||
\(232\) | −7.68508 | − | 13.7263i | −0.504550 | − | 0.901179i | ||||
\(233\) | 6.40187 | + | 6.40187i | 0.419401 | + | 0.419401i | 0.884997 | − | 0.465596i | \(-0.154160\pi\) |
−0.465596 | + | 0.884997i | \(0.654160\pi\) | |||||||
\(234\) | −4.77771 | − | 0.439192i | −0.312329 | − | 0.0287109i | ||||
\(235\) | −1.79068 | + | 12.4775i | −0.116811 | + | 0.813943i | ||||
\(236\) | −1.11557 | + | 6.01654i | −0.0726173 | + | 0.391643i | ||||
\(237\) | 12.5612 | − | 12.5612i | 0.815936 | − | 0.815936i | ||||
\(238\) | 4.13726 | + | 4.97489i | 0.268179 | + | 0.322475i | ||||
\(239\) | 16.6919 | 1.07971 | 0.539855 | − | 0.841758i | \(-0.318479\pi\) | ||||
0.539855 | + | 0.841758i | \(0.318479\pi\) | |||||||
\(240\) | −19.7453 | − | 11.0242i | −1.27455 | − | 0.711609i | ||||
\(241\) | −4.87302 | −0.313899 | −0.156950 | − | 0.987607i | \(-0.550166\pi\) | ||||
−0.156950 | + | 0.987607i | \(0.550166\pi\) | |||||||
\(242\) | −21.5787 | − | 25.9476i | −1.38713 | − | 1.66798i | ||||
\(243\) | −15.8148 | + | 15.8148i | −1.01452 | + | 1.01452i | ||||
\(244\) | −3.21784 | + | 17.3546i | −0.206001 | + | 1.11102i | ||||
\(245\) | 7.14856 | − | 5.35425i | 0.456705 | − | 0.342070i | ||||
\(246\) | 1.91875 | + | 0.176381i | 0.122335 | + | 0.0112457i | ||||
\(247\) | 1.49979 | + | 1.49979i | 0.0954294 | + | 0.0954294i | ||||
\(248\) | −9.99614 | − | 17.8541i | −0.634756 | − | 1.13374i | ||||
\(249\) | 24.7991i | 1.57158i | ||||||||
\(250\) | 13.7270 | + | 7.84657i | 0.868174 | + | 0.496260i | ||||
\(251\) | − | 3.80662i | − | 0.240271i | −0.992757 | − | 0.120136i | \(-0.961667\pi\) | ||
0.992757 | − | 0.120136i | \(-0.0383330\pi\) | |||||||
\(252\) | −12.7416 | − | 18.5422i | −0.802648 | − | 1.16805i | ||||
\(253\) | 18.3119 | + | 18.3119i | 1.15126 | + | 1.15126i | ||||
\(254\) | 0.789771 | − | 8.59146i | 0.0495547 | − | 0.539076i | ||||
\(255\) | −6.24394 | + | 4.67669i | −0.391010 | + | 0.292865i | ||||
\(256\) | 11.8871 | + | 10.7097i | 0.742943 | + | 0.669355i | ||||
\(257\) | 15.4246 | − | 15.4246i | 0.962160 | − | 0.962160i | −0.0371497 | − | 0.999310i | \(-0.511828\pi\) |
0.999310 | + | 0.0371497i | \(0.0118278\pi\) | |||||||
\(258\) | 22.5050 | − | 18.7158i | 1.40110 | − | 1.16519i | ||||
\(259\) | 10.2850 | 0.639076 | ||||||||
\(260\) | −4.23677 | − | 1.43170i | −0.262753 | − | 0.0887902i | ||||
\(261\) | 18.8691 | 1.16797 | ||||||||
\(262\) | −6.91813 | + | 5.75330i | −0.427403 | + | 0.355440i | ||||
\(263\) | −2.06774 | + | 2.06774i | −0.127502 | + | 0.127502i | −0.767978 | − | 0.640476i | \(-0.778737\pi\) |
0.640476 | + | 0.767978i | \(0.278737\pi\) | |||||||
\(264\) | 40.6383 | + | 11.4661i | 2.50111 | + | 0.705692i | ||||
\(265\) | 3.18629 | − | 22.2021i | 0.195732 | − | 1.36387i | ||||
\(266\) | −0.910439 | + | 9.90413i | −0.0558226 | + | 0.607261i | ||||
\(267\) | 16.8493 | + | 16.8493i | 1.03116 | + | 1.03116i | ||||
\(268\) | 6.01770 | − | 4.13518i | 0.367589 | − | 0.252596i | ||||
\(269\) | 1.08783i | 0.0663260i | 0.999450 | + | 0.0331630i | \(0.0105580\pi\) | ||||
−0.999450 | + | 0.0331630i | \(0.989442\pi\) | |||||||
\(270\) | 2.67409 | − | 1.64389i | 0.162740 | − | 0.100044i | ||||
\(271\) | 18.6868i | 1.13514i | 0.823325 | + | 0.567570i | \(0.192116\pi\) | ||||
−0.823325 | + | 0.567570i | \(0.807884\pi\) | |||||||
\(272\) | 5.04260 | − | 2.24420i | 0.305753 | − | 0.136075i | ||||
\(273\) | −5.92798 | − | 5.92798i | −0.358777 | − | 0.358777i | ||||
\(274\) | −1.34617 | − | 0.123747i | −0.0813251 | − | 0.00747582i | ||||
\(275\) | −28.3311 | − | 8.30274i | −1.70843 | − | 0.500674i | ||||
\(276\) | −21.8068 | − | 4.04336i | −1.31262 | − | 0.243381i | ||||
\(277\) | 1.31820 | − | 1.31820i | 0.0792032 | − | 0.0792032i | −0.666395 | − | 0.745599i | \(-0.732164\pi\) |
0.745599 | + | 0.666395i | \(0.232164\pi\) | |||||||
\(278\) | 4.03356 | + | 4.85020i | 0.241917 | + | 0.290896i | ||||
\(279\) | 24.5434 | 1.46938 | ||||||||
\(280\) | −7.54139 | − | 19.5678i | −0.450684 | − | 1.16940i | ||||
\(281\) | −7.34919 | −0.438416 | −0.219208 | − | 0.975678i | \(-0.570347\pi\) | ||||
−0.219208 | + | 0.975678i | \(0.570347\pi\) | |||||||
\(282\) | 12.8885 | + | 15.4979i | 0.767500 | + | 0.922889i | ||||
\(283\) | −7.05023 | + | 7.05023i | −0.419093 | + | 0.419093i | −0.884891 | − | 0.465798i | \(-0.845767\pi\) |
0.465798 | + | 0.884891i | \(0.345767\pi\) | |||||||
\(284\) | 16.7773 | + | 3.11079i | 0.995547 | + | 0.184592i | ||||
\(285\) | −11.8698 | − | 1.70347i | −0.703105 | − | 0.100905i | ||||
\(286\) | 8.31520 | + | 0.764376i | 0.491688 | + | 0.0451985i | ||||
\(287\) | 1.26345 | + | 1.26345i | 0.0745793 | + | 0.0745793i | ||||
\(288\) | −18.1741 | + | 6.16546i | −1.07092 | + | 0.363303i | ||||
\(289\) | 15.0960i | 0.887999i | ||||||||
\(290\) | 17.1079 | + | 4.08170i | 1.00461 | + | 0.239686i | ||||
\(291\) | − | 42.2453i | − | 2.47646i | ||||||
\(292\) | −6.45130 | + | 4.43314i | −0.377534 | + | 0.259430i | ||||
\(293\) | −11.9457 | − | 11.9457i | −0.697876 | − | 0.697876i | 0.266076 | − | 0.963952i | \(-0.414273\pi\) |
−0.963952 | + | 0.266076i | \(0.914273\pi\) | |||||||
\(294\) | 1.30736 | − | 14.2220i | 0.0762468 | − | 0.829445i | ||||
\(295\) | −4.10129 | − | 5.47571i | −0.238786 | − | 0.318808i | ||||
\(296\) | 2.38239 | − | 8.44367i | 0.138474 | − | 0.490778i | ||||
\(297\) | −4.14436 | + | 4.14436i | −0.240480 | + | 0.240480i | ||||
\(298\) | 8.05034 | − | 6.69488i | 0.466344 | − | 0.387824i | ||||
\(299\) | −4.38595 | −0.253646 | ||||||||
\(300\) | 24.0240 | − | 7.88095i | 1.38702 | − | 0.455007i | ||||
\(301\) | 27.1430 | 1.56450 | ||||||||
\(302\) | 8.97599 | − | 7.46468i | 0.516510 | − | 0.429544i | ||||
\(303\) | 8.40163 | − | 8.40163i | 0.482661 | − | 0.482661i | ||||
\(304\) | 7.92013 | + | 3.04163i | 0.454251 | + | 0.174449i | ||||
\(305\) | −11.8301 | − | 15.7946i | −0.677391 | − | 0.904397i | ||||
\(306\) | −0.606024 | + | 6.59259i | −0.0346441 | + | 0.376873i | ||||
\(307\) | −0.789610 | − | 0.789610i | −0.0450654 | − | 0.0450654i | 0.684215 | − | 0.729280i | \(-0.260145\pi\) |
−0.729280 | + | 0.684215i | \(0.760145\pi\) | |||||||
\(308\) | 22.1757 | + | 32.2711i | 1.26358 | + | 1.83882i | ||||
\(309\) | 3.05717i | 0.173916i | ||||||||
\(310\) | 22.2526 | + | 5.30915i | 1.26386 | + | 0.301540i | ||||
\(311\) | 18.0187i | 1.02174i | 0.859657 | + | 0.510872i | \(0.170677\pi\) | ||||
−0.859657 | + | 0.510872i | \(0.829323\pi\) | |||||||
\(312\) | −6.23986 | + | 3.49356i | −0.353262 | + | 0.197784i | ||||
\(313\) | 19.4426 | + | 19.4426i | 1.09896 | + | 1.09896i | 0.994533 | + | 0.104427i | \(0.0333008\pi\) |
0.104427 | + | 0.994533i | \(0.466699\pi\) | |||||||
\(314\) | −28.7769 | − | 2.64532i | −1.62397 | − | 0.149284i | ||||
\(315\) | 24.8985 | + | 3.57325i | 1.40287 | + | 0.201330i | ||||
\(316\) | 2.56181 | − | 13.8165i | 0.144113 | − | 0.777237i | ||||
\(317\) | −9.02608 | + | 9.02608i | −0.506955 | + | 0.506955i | −0.913591 | − | 0.406635i | \(-0.866702\pi\) |
0.406635 | + | 0.913591i | \(0.366702\pi\) | |||||||
\(318\) | −22.9335 | − | 27.5766i | −1.28604 | − | 1.54642i | ||||
\(319\) | −32.8400 | −1.83869 | ||||||||
\(320\) | −17.8115 | + | 1.65863i | −0.995692 | + | 0.0927201i | ||||
\(321\) | −46.4521 | −2.59271 | ||||||||
\(322\) | −13.1504 | − | 15.8129i | −0.732846 | − | 0.881219i | ||||
\(323\) | 2.06950 | − | 2.06950i | 0.115150 | − | 0.115150i | ||||
\(324\) | −2.79593 | + | 15.0791i | −0.155329 | + | 0.837729i | ||||
\(325\) | 4.38715 | − | 2.39853i | 0.243355 | − | 0.133046i | ||||
\(326\) | −18.2048 | − | 1.67347i | −1.00827 | − | 0.0926852i | ||||
\(327\) | 4.68923 | + | 4.68923i | 0.259315 | + | 0.259315i | ||||
\(328\) | 1.32993 | − | 0.744596i | 0.0734328 | − | 0.0411134i | ||||
\(329\) | 18.6919i | 1.03052i | ||||||||
\(330\) | −40.2173 | + | 24.7234i | −2.21389 | + | 1.36098i | ||||
\(331\) | − | 2.06198i | − | 0.113336i | −0.998393 | − | 0.0566682i | \(-0.981952\pi\) | ||
0.998393 | − | 0.0566682i | \(-0.0180477\pi\) | |||||||
\(332\) | 11.1099 | + | 16.1675i | 0.609732 | + | 0.887309i | ||||
\(333\) | 7.44110 | + | 7.44110i | 0.407770 | + | 0.407770i | ||||
\(334\) | 0.490043 | − | 5.33089i | 0.0268139 | − | 0.291693i | ||||
\(335\) | −1.15967 | + | 8.08057i | −0.0633593 | + | 0.441489i | ||||
\(336\) | −31.3046 | − | 12.0221i | −1.70781 | − | 0.655861i | ||||
\(337\) | 9.46896 | − | 9.46896i | 0.515807 | − | 0.515807i | −0.400493 | − | 0.916300i | \(-0.631161\pi\) |
0.916300 | + | 0.400493i | \(0.131161\pi\) | |||||||
\(338\) | −1.08734 | + | 0.904262i | −0.0591435 | + | 0.0491854i | ||||
\(339\) | −38.9675 | −2.11642 | ||||||||
\(340\) | −1.97555 | + | 5.84616i | −0.107139 | + | 0.317053i | ||||
\(341\) | −42.7157 | −2.31319 | ||||||||
\(342\) | −7.82427 | + | 6.50688i | −0.423088 | + | 0.351852i | ||||
\(343\) | −7.04728 | + | 7.04728i | −0.380517 | + | 0.380517i | ||||
\(344\) | 6.28737 | − | 22.2837i | 0.338992 | − | 1.20146i | ||||
\(345\) | 19.8466 | − | 14.8650i | 1.06851 | − | 0.800307i | ||||
\(346\) | 0.789644 | − | 8.59007i | 0.0424515 | − | 0.461805i | ||||
\(347\) | 7.60949 | + | 7.60949i | 0.408499 | + | 0.408499i | 0.881215 | − | 0.472716i | \(-0.156726\pi\) |
−0.472716 | + | 0.881215i | \(0.656726\pi\) | |||||||
\(348\) | 23.1795 | − | 15.9283i | 1.24255 | − | 0.853844i | ||||
\(349\) | 4.69447i | 0.251289i | 0.992075 | + | 0.125644i | \(0.0400999\pi\) | ||||
−0.992075 | + | 0.125644i | \(0.959900\pi\) | |||||||
\(350\) | 21.8016 | + | 8.62570i | 1.16534 | + | 0.461063i | ||||
\(351\) | − | 0.992630i | − | 0.0529827i | ||||||
\(352\) | 31.6305 | − | 10.7304i | 1.68591 | − | 0.571934i | ||||
\(353\) | 7.77497 | + | 7.77497i | 0.413820 | + | 0.413820i | 0.883067 | − | 0.469247i | \(-0.155475\pi\) |
−0.469247 | + | 0.883067i | \(0.655475\pi\) | |||||||
\(354\) | −10.8939 | − | 1.00142i | −0.579004 | − | 0.0532250i | ||||
\(355\) | −15.2692 | + | 11.4365i | −0.810403 | + | 0.606989i | ||||
\(356\) | 18.5331 | + | 3.43635i | 0.982251 | + | 0.182126i | ||||
\(357\) | −8.17979 | + | 8.17979i | −0.432920 | + | 0.432920i | ||||
\(358\) | −9.47730 | − | 11.3961i | −0.500891 | − | 0.602302i | ||||
\(359\) | 22.3596 | 1.18009 | 0.590046 | − | 0.807369i | \(-0.299109\pi\) | ||||
0.590046 | + | 0.807369i | \(0.299109\pi\) | |||||||
\(360\) | 8.70100 | − | 19.6133i | 0.458583 | − | 1.03371i | ||||
\(361\) | −14.5013 | −0.763224 | ||||||||
\(362\) | −14.0359 | − | 16.8776i | −0.737710 | − | 0.887068i | ||||
\(363\) | 42.6634 | − | 42.6634i | 2.23925 | − | 2.23925i | ||||
\(364\) | −6.52038 | − | 1.20899i | −0.341761 | − | 0.0633683i | ||||
\(365\) | 1.24323 | − | 8.66282i | 0.0650734 | − | 0.453433i | ||||
\(366\) | −31.4233 | − | 2.88859i | −1.64252 | − | 0.150989i | ||||
\(367\) | −10.2028 | − | 10.2028i | −0.532580 | − | 0.532580i | 0.388760 | − | 0.921339i | \(-0.372904\pi\) |
−0.921339 | + | 0.388760i | \(0.872904\pi\) | |||||||
\(368\) | −16.0281 | + | 7.13328i | −0.835524 | + | 0.371848i | ||||
\(369\) | 1.82820i | 0.0951723i | ||||||||
\(370\) | 5.13693 | + | 8.35620i | 0.267056 | + | 0.434418i | ||||
\(371\) | − | 33.2598i | − | 1.72676i | ||||||
\(372\) | 30.1500 | − | 20.7182i | 1.56321 | − | 1.07419i | ||||
\(373\) | −17.6595 | − | 17.6595i | −0.914372 | − | 0.914372i | 0.0822402 | − | 0.996613i | \(-0.473793\pi\) |
−0.996613 | + | 0.0822402i | \(0.973793\pi\) | |||||||
\(374\) | 1.05473 | − | 11.4738i | 0.0545389 | − | 0.593297i | ||||
\(375\) | −11.7228 | + | 25.7226i | −0.605365 | + | 1.32831i | ||||
\(376\) | 15.3455 | + | 4.32976i | 0.791384 | + | 0.223290i | ||||
\(377\) | 3.93282 | − | 3.93282i | 0.202551 | − | 0.202551i | ||||
\(378\) | 3.57879 | − | 2.97622i | 0.184073 | − | 0.153080i | ||||
\(379\) | 6.98725 | 0.358911 | 0.179456 | − | 0.983766i | \(-0.442566\pi\) | ||||
0.179456 | + | 0.983766i | \(0.442566\pi\) | |||||||
\(380\) | −8.50152 | + | 4.20703i | −0.436119 | + | 0.215816i | ||||
\(381\) | 15.4247 | 0.790233 | ||||||||
\(382\) | −14.4002 | + | 11.9756i | −0.736779 | + | 0.612726i | ||||
\(383\) | 8.29838 | − | 8.29838i | 0.424028 | − | 0.424028i | −0.462560 | − | 0.886588i | \(-0.653069\pi\) |
0.886588 | + | 0.462560i | \(0.153069\pi\) | |||||||
\(384\) | −17.1212 | + | 22.9154i | −0.873713 | + | 1.16940i | ||||
\(385\) | −43.3337 | − | 6.21894i | −2.20849 | − | 0.316946i | ||||
\(386\) | 2.68031 | − | 29.1575i | 0.136424 | − | 1.48408i | ||||
\(387\) | 19.6378 | + | 19.6378i | 0.998245 | + | 0.998245i | ||||
\(388\) | −18.9256 | − | 27.5414i | −0.960802 | − | 1.39820i | ||||
\(389\) | 8.88726i | 0.450602i | 0.974289 | + | 0.225301i | \(0.0723365\pi\) | ||||
−0.974289 | + | 0.225301i | \(0.927663\pi\) | |||||||
\(390\) | 1.85550 | − | 7.77709i | 0.0939569 | − | 0.393808i | ||||
\(391\) | 6.05200i | 0.306063i | ||||||||
\(392\) | −5.51905 | − | 9.85759i | −0.278754 | − | 0.497883i | ||||
\(393\) | −11.3749 | − | 11.3749i | −0.573786 | − | 0.573786i | ||||
\(394\) | −34.6629 | − | 3.18639i | −1.74629 | − | 0.160528i | ||||
\(395\) | 9.41826 | + | 12.5745i | 0.473884 | + | 0.632692i | ||||
\(396\) | −7.30394 | + | 39.3919i | −0.367037 | + | 1.97952i | ||||
\(397\) | 15.3788 | − | 15.3788i | 0.771838 | − | 0.771838i | −0.206590 | − | 0.978428i | \(-0.566237\pi\) |
0.978428 | + | 0.206590i | \(0.0662365\pi\) | |||||||
\(398\) | 23.7757 | + | 28.5894i | 1.19177 | + | 1.43306i | ||||
\(399\) | −17.7815 | −0.890186 | ||||||||
\(400\) | 12.1316 | − | 15.9005i | 0.606578 | − | 0.795024i | ||||
\(401\) | −7.73585 | −0.386310 | −0.193155 | − | 0.981168i | \(-0.561872\pi\) | ||||
−0.193155 | + | 0.981168i | \(0.561872\pi\) | |||||||
\(402\) | 8.34675 | + | 10.0366i | 0.416298 | + | 0.500582i | ||||
\(403\) | 5.11550 | − | 5.11550i | 0.254821 | − | 0.254821i | ||||
\(404\) | 1.71348 | − | 9.24124i | 0.0852490 | − | 0.459769i | ||||
\(405\) | −10.2790 | − | 13.7237i | −0.510767 | − | 0.681935i | ||||
\(406\) | 25.9711 | + | 2.38739i | 1.28892 | + | 0.118484i | ||||
\(407\) | −12.9506 | − | 12.9506i | −0.641936 | − | 0.641936i | ||||
\(408\) | 4.82063 | + | 8.61014i | 0.238657 | + | 0.426265i | ||||
\(409\) | − | 7.27059i | − | 0.359508i | −0.983712 | − | 0.179754i | \(-0.942470\pi\) | ||
0.983712 | − | 0.179754i | \(-0.0575301\pi\) | |||||||
\(410\) | −0.395470 | + | 1.65756i | −0.0195309 | + | 0.0818611i | ||||
\(411\) | − | 2.41686i | − | 0.119215i | ||||||
\(412\) | 1.36959 | + | 1.99309i | 0.0674750 | + | 0.0981926i | ||||
\(413\) | −7.17339 | − | 7.17339i | −0.352979 | − | 0.352979i | ||||
\(414\) | 1.92627 | − | 20.9548i | 0.0946712 | − | 1.02987i | ||||
\(415\) | −21.7098 | − | 3.11563i | −1.06569 | − | 0.152941i | ||||
\(416\) | −2.50292 | + | 5.07301i | −0.122716 | + | 0.248725i | ||||
\(417\) | −7.97477 | + | 7.97477i | −0.390526 | + | 0.390526i | ||||
\(418\) | 13.6175 | − | 11.3247i | 0.666052 | − | 0.553907i | ||||
\(419\) | −28.5271 | −1.39364 | −0.696819 | − | 0.717247i | \(-0.745402\pi\) | ||||
−0.696819 | + | 0.717247i | \(0.745402\pi\) | |||||||
\(420\) | 33.6026 | − | 16.6284i | 1.63964 | − | 0.811383i | ||||
\(421\) | 29.4919 | 1.43735 | 0.718674 | − | 0.695347i | \(-0.244749\pi\) | ||||
0.718674 | + | 0.695347i | \(0.244749\pi\) | |||||||
\(422\) | 7.25342 | − | 6.03214i | 0.353091 | − | 0.293640i | ||||
\(423\) | −13.5234 | + | 13.5234i | −0.657532 | + | 0.657532i | ||||
\(424\) | −27.3054 | − | 7.70425i | −1.32607 | − | 0.374151i | ||||
\(425\) | −3.30964 | − | 6.05366i | −0.160541 | − | 0.293645i | ||||
\(426\) | −2.79249 | + | 30.3779i | −0.135297 | + | 1.47181i | ||||
\(427\) | −20.6915 | − | 20.6915i | −1.00133 | − | 1.00133i | ||||
\(428\) | −30.2840 | + | 20.8103i | −1.46383 | + | 1.00590i | ||||
\(429\) | 14.9287i | 0.720767i | ||||||||
\(430\) | 13.5569 | + | 22.0528i | 0.653771 | + | 1.06348i | ||||
\(431\) | 22.3840i | 1.07820i | 0.842242 | + | 0.539099i | \(0.181235\pi\) | ||||
−0.842242 | + | 0.539099i | \(0.818765\pi\) | |||||||
\(432\) | −1.61441 | − | 3.62749i | −0.0776733 | − | 0.174528i | ||||
\(433\) | −9.07817 | − | 9.07817i | −0.436269 | − | 0.436269i | 0.454485 | − | 0.890754i | \(-0.349823\pi\) |
−0.890754 | + | 0.454485i | \(0.849823\pi\) | |||||||
\(434\) | 33.7811 | + | 3.10533i | 1.62154 | + | 0.149061i | ||||
\(435\) | −4.46690 | + | 31.1255i | −0.214172 | + | 1.49235i | ||||
\(436\) | 5.15784 | + | 0.956352i | 0.247016 | + | 0.0458010i | ||||
\(437\) | −6.57801 | + | 6.57801i | −0.314669 | + | 0.314669i | ||||
\(438\) | −8.94817 | − | 10.7598i | −0.427560 | − | 0.514125i | ||||
\(439\) | −0.367210 | −0.0175260 | −0.00876298 | − | 0.999962i | \(-0.502789\pi\) | ||||
−0.00876298 | + | 0.999962i | \(0.502789\pi\) | |||||||
\(440\) | −15.1433 | + | 34.1352i | −0.721930 | + | 1.62733i | ||||
\(441\) | 13.5509 | 0.645279 | ||||||||
\(442\) | 1.24776 | + | 1.50038i | 0.0593497 | + | 0.0713658i | ||||
\(443\) | 15.4141 | − | 15.4141i | 0.732348 | − | 0.732348i | −0.238736 | − | 0.971084i | \(-0.576733\pi\) |
0.971084 | + | 0.238736i | \(0.0767332\pi\) | |||||||
\(444\) | 15.4223 | + | 2.85955i | 0.731908 | + | 0.135708i | ||||
\(445\) | −16.8671 | + | 12.6334i | −0.799579 | + | 0.598882i | ||||
\(446\) | −7.79851 | − | 0.716879i | −0.369270 | − | 0.0339452i | ||||
\(447\) | 13.2365 | + | 13.2365i | 0.626064 | + | 0.626064i | ||||
\(448\) | −25.7945 | + | 6.18654i | −1.21868 | + | 0.292287i | ||||
\(449\) | 40.2066i | 1.89747i | 0.316079 | + | 0.948733i | \(0.397634\pi\) | ||||
−0.316079 | + | 0.948733i | \(0.602366\pi\) | |||||||
\(450\) | 9.53268 | + | 22.0140i | 0.449375 | + | 1.03775i | ||||
\(451\) | − | 3.18182i | − | 0.149826i | ||||||
\(452\) | −25.4045 | + | 17.4572i | −1.19492 | + | 0.821116i | ||||
\(453\) | 14.7584 | + | 14.7584i | 0.693412 | + | 0.693412i | ||||
\(454\) | 0.0807442 | − | 0.878368i | 0.00378951 | − | 0.0412239i | ||||
\(455\) | 5.93426 | − | 4.44474i | 0.278203 | − | 0.208373i | ||||
\(456\) | −4.11887 | + | 14.5981i | −0.192884 | + | 0.683619i | ||||
\(457\) | 9.15479 | − | 9.15479i | 0.428243 | − | 0.428243i | −0.459787 | − | 0.888029i | \(-0.652074\pi\) |
0.888029 | + | 0.459787i | \(0.152074\pi\) | |||||||
\(458\) | 6.90035 | − | 5.73852i | 0.322432 | − | 0.268143i | ||||
\(459\) | −1.36969 | −0.0639318 | ||||||||
\(460\) | 6.27935 | − | 18.5823i | 0.292776 | − | 0.866402i | ||||
\(461\) | 28.6420 | 1.33399 | 0.666995 | − | 0.745062i | \(-0.267580\pi\) | ||||
0.666995 | + | 0.745062i | \(0.267580\pi\) | |||||||
\(462\) | −53.8235 | + | 44.7611i | −2.50409 | + | 2.08247i | ||||
\(463\) | 20.4203 | − | 20.4203i | 0.949010 | − | 0.949010i | −0.0497517 | − | 0.998762i | \(-0.515843\pi\) |
0.998762 | + | 0.0497517i | \(0.0158430\pi\) | |||||||
\(464\) | 7.97589 | − | 20.7685i | 0.370271 | − | 0.964154i | ||||
\(465\) | −5.81019 | + | 40.4855i | −0.269441 | + | 1.87747i | ||||
\(466\) | −1.17204 | + | 12.7500i | −0.0542939 | + | 0.590632i | ||||
\(467\) | 21.3596 | + | 21.3596i | 0.988406 | + | 0.988406i | 0.999934 | − | 0.0115276i | \(-0.00366942\pi\) |
−0.0115276 | + | 0.999934i | \(0.503669\pi\) | |||||||
\(468\) | −3.84276 | − | 5.59215i | −0.177631 | − | 0.258497i | ||||
\(469\) | 12.1051i | 0.558959i | ||||||||
\(470\) | −15.1865 | + | 9.33585i | −0.700503 | + | 0.430631i | ||||
\(471\) | − | 51.6648i | − | 2.38059i | ||||||
\(472\) | −7.55079 | + | 4.22752i | −0.347553 | + | 0.194588i | ||||
\(473\) | −34.1779 | − | 34.1779i | −1.57150 | − | 1.57150i | ||||
\(474\) | 25.0169 | + | 2.29968i | 1.14906 | + | 0.105628i | ||||
\(475\) | 2.98251 | − | 10.1771i | 0.136847 | − | 0.466957i | ||||
\(476\) | −1.66824 | + | 8.99722i | −0.0764636 | + | 0.412387i | ||||
\(477\) | 24.0632 | − | 24.0632i | 1.10178 | − | 1.10178i | ||||
\(478\) | 15.0939 | + | 18.1498i | 0.690378 | + | 0.830153i | ||||
\(479\) | −4.14375 | −0.189333 | −0.0946664 | − | 0.995509i | \(-0.530178\pi\) | ||||
−0.0946664 | + | 0.995509i | \(0.530178\pi\) | |||||||
\(480\) | −5.86783 | − | 31.4386i | −0.267828 | − | 1.43497i | ||||
\(481\) | 3.10184 | 0.141432 | ||||||||
\(482\) | −4.40649 | − | 5.29864i | −0.200710 | − | 0.241346i | ||||
\(483\) | 25.9998 | − | 25.9998i | 1.18303 | − | 1.18303i | ||||
\(484\) | 8.70105 | − | 46.9269i | 0.395502 | − | 2.13304i | ||||
\(485\) | 36.9826 | + | 5.30748i | 1.67929 | + | 0.241000i | ||||
\(486\) | −31.4968 | − | 2.89535i | −1.42873 | − | 0.131336i | ||||
\(487\) | 24.6973 | + | 24.6973i | 1.11914 | + | 1.11914i | 0.991868 | + | 0.127273i | \(0.0406223\pi\) |
0.127273 | + | 0.991868i | \(0.459378\pi\) | |||||||
\(488\) | −21.7802 | + | 12.1942i | −0.985942 | + | 0.552007i | ||||
\(489\) | − | 32.6840i | − | 1.47802i | ||||||
\(490\) | 12.2861 | + | 2.93128i | 0.555028 | + | 0.132422i | ||||
\(491\) | − | 19.3185i | − | 0.871832i | −0.899987 | − | 0.435916i | \(-0.856424\pi\) | ||
0.899987 | − | 0.435916i | \(-0.143576\pi\) | |||||||
\(492\) | 1.54326 | + | 2.24583i | 0.0695757 | + | 0.101250i | ||||
\(493\) | −5.42675 | − | 5.42675i | −0.244408 | − | 0.244408i | ||||
\(494\) | −0.274579 | + | 2.98699i | −0.0123539 | + | 0.134391i | ||||
\(495\) | −26.8523 | − | 35.8510i | −1.20692 | − | 1.61138i | ||||
\(496\) | 10.3744 | − | 27.0140i | 0.465824 | − | 1.21297i | ||||
\(497\) | −20.0032 | + | 20.0032i | −0.897265 | + | 0.897265i | ||||
\(498\) | −26.9651 | + | 22.4249i | −1.20834 | + | 1.00488i | ||||
\(499\) | 4.80183 | 0.214959 | 0.107480 | − | 0.994207i | \(-0.465722\pi\) | ||||
0.107480 | + | 0.994207i | \(0.465722\pi\) | |||||||
\(500\) | 3.88094 | + | 22.0213i | 0.173561 | + | 0.984823i | ||||
\(501\) | 9.57085 | 0.427594 | ||||||||
\(502\) | 4.13909 | − | 3.44218i | 0.184737 | − | 0.153632i | ||||
\(503\) | 7.80160 | − | 7.80160i | 0.347856 | − | 0.347856i | −0.511454 | − | 0.859310i | \(-0.670893\pi\) |
0.859310 | + | 0.511454i | \(0.170893\pi\) | |||||||
\(504\) | 8.63991 | − | 30.6215i | 0.384852 | − | 1.36399i | ||||
\(505\) | 6.29947 | + | 8.41055i | 0.280323 | + | 0.374264i | ||||
\(506\) | −3.35251 | + | 36.4700i | −0.149037 | + | 1.62129i | ||||
\(507\) | −1.78782 | − | 1.78782i | −0.0793999 | − | 0.0793999i | ||||
\(508\) | 10.0560 | − | 6.91018i | 0.446163 | − | 0.306590i | ||||
\(509\) | − | 41.1405i | − | 1.82352i | −0.410725 | − | 0.911759i | \(-0.634724\pi\) | ||
0.410725 | − | 0.911759i | \(-0.365276\pi\) | |||||||
\(510\) | −10.7313 | − | 2.56033i | −0.475190 | − | 0.113373i | ||||
\(511\) | − | 12.9773i | − | 0.574081i | ||||||
\(512\) | −0.896029 | + | 22.6097i | −0.0395992 | + | 0.999216i | ||||
\(513\) | −1.48874 | − | 1.48874i | −0.0657294 | − | 0.0657294i | ||||
\(514\) | 30.7197 | + | 2.82391i | 1.35499 | + | 0.124557i | ||||
\(515\) | −2.67633 | − | 0.384087i | −0.117933 | − | 0.0169249i | ||||
\(516\) | 40.7009 | + | 7.54664i | 1.79176 | + | 0.332222i | ||||
\(517\) | 23.5364 | − | 23.5364i | 1.03513 | − | 1.03513i | ||||
\(518\) | 9.30029 | + | 11.1832i | 0.408631 | + | 0.491364i | ||||
\(519\) | 15.4222 | 0.676962 | ||||||||
\(520\) | −2.27441 | − | 5.90145i | −0.0997395 | − | 0.258796i | ||||
\(521\) | 17.4587 | 0.764881 | 0.382441 | − | 0.923980i | \(-0.375084\pi\) | ||||
0.382441 | + | 0.923980i | \(0.375084\pi\) | |||||||
\(522\) | 17.0626 | + | 20.5172i | 0.746811 | + | 0.898012i | ||||
\(523\) | −20.3908 | + | 20.3908i | −0.891627 | + | 0.891627i | −0.994676 | − | 0.103050i | \(-0.967140\pi\) |
0.103050 | + | 0.994676i | \(0.467140\pi\) | |||||||
\(524\) | −12.5116 | − | 2.31987i | −0.546572 | − | 0.101344i | ||||
\(525\) | −11.7885 | + | 40.2253i | −0.514492 | + | 1.75558i | ||||
\(526\) | −4.11812 | − | 0.378559i | −0.179559 | − | 0.0165060i | ||||
\(527\) | −7.05868 | − | 7.05868i | −0.307481 | − | 0.307481i | ||||
\(528\) | 24.2800 | + | 54.5560i | 1.05665 | + | 2.37425i | ||||
\(529\) | 3.76347i | 0.163629i | ||||||||
\(530\) | 27.0225 | − | 16.6120i | 1.17378 | − | 0.721577i | ||||
\(531\) | − | 10.3798i | − | 0.450445i | ||||||
\(532\) | −11.5924 | + | 7.96597i | −0.502596 | + | 0.345369i | ||||
\(533\) | 0.381045 | + | 0.381045i | 0.0165049 | + | 0.0165049i | ||||
\(534\) | −3.08474 | + | 33.5571i | −0.133490 | + | 1.45216i | ||||
\(535\) | 5.83600 | − | 40.6654i | 0.252312 | − | 1.75812i | ||||
\(536\) | 9.93792 | + | 2.80400i | 0.429253 | + | 0.121114i | ||||
\(537\) | 18.7376 | − | 18.7376i | 0.808587 | − | 0.808587i | ||||
\(538\) | −1.18284 | + | 0.983681i | −0.0509958 | + | 0.0424095i | ||||
\(539\) | −23.5841 | −1.01584 | ||||||||
\(540\) | 4.20555 | + | 1.42115i | 0.180978 | + | 0.0611564i | ||||
\(541\) | −13.3562 | −0.574228 | −0.287114 | − | 0.957896i | \(-0.592696\pi\) | ||||
−0.287114 | + | 0.957896i | \(0.592696\pi\) | |||||||
\(542\) | −20.3189 | + | 16.8977i | −0.872770 | + | 0.725820i | ||||
\(543\) | 27.7504 | − | 27.7504i | 1.19088 | − | 1.19088i | ||||
\(544\) | 7.00005 | + | 3.45368i | 0.300125 | + | 0.148075i | ||||
\(545\) | −4.69421 | + | 3.51594i | −0.201078 | + | 0.150607i | ||||
\(546\) | 1.08528 | − | 11.8062i | 0.0464459 | − | 0.505258i | ||||
\(547\) | 16.3289 | + | 16.3289i | 0.698175 | + | 0.698175i | 0.964017 | − | 0.265842i | \(-0.0856499\pi\) |
−0.265842 | + | 0.964017i | \(0.585650\pi\) | |||||||
\(548\) | −1.08274 | − | 1.57565i | −0.0462522 | − | 0.0673082i | ||||
\(549\) | − | 29.9404i | − | 1.27783i | ||||||
\(550\) | −16.5908 | − | 38.3134i | −0.707434 | − | 1.63369i | ||||
\(551\) | − | 11.7968i | − | 0.502561i | ||||||
\(552\) | −15.3226 | − | 27.3677i | −0.652172 | − | 1.16485i | ||||
\(553\) | 16.4731 | + | 16.4731i | 0.700506 | + | 0.700506i | ||||
\(554\) | 2.62534 | + | 0.241335i | 0.111540 | + | 0.0102533i | ||||
\(555\) | −14.0360 | + | 10.5129i | −0.595794 | + | 0.446247i | ||||
\(556\) | −1.62643 | + | 8.77171i | −0.0689758 | + | 0.372003i | ||||
\(557\) | −3.94925 | + | 3.94925i | −0.167335 | + | 0.167335i | −0.785807 | − | 0.618472i | \(-0.787752\pi\) |
0.618472 | + | 0.785807i | \(0.287752\pi\) | |||||||
\(558\) | 22.1937 | + | 26.6871i | 0.939534 | + | 1.12975i | ||||
\(559\) | 8.18607 | 0.346234 | ||||||||
\(560\) | 14.4574 | − | 25.8944i | 0.610938 | − | 1.09424i | ||||
\(561\) | 20.5996 | 0.869716 | ||||||||
\(562\) | −6.64559 | − | 7.99107i | −0.280327 | − | 0.337083i | ||||
\(563\) | −28.4131 | + | 28.4131i | −1.19747 | + | 1.19747i | −0.222547 | + | 0.974922i | \(0.571437\pi\) |
−0.974922 | + | 0.222547i | \(0.928563\pi\) | |||||||
\(564\) | −5.19695 | + | 28.0284i | −0.218831 | + | 1.18021i | ||||
\(565\) | 4.89567 | − | 34.1131i | 0.205962 | − | 1.43515i | ||||
\(566\) | −14.0413 | − | 1.29075i | −0.590198 | − | 0.0542541i | ||||
\(567\) | −17.9785 | − | 17.9785i | −0.755027 | − | 0.755027i | ||||
\(568\) | 11.7886 | + | 21.0556i | 0.494637 | + | 0.883472i | ||||
\(569\) | 1.74697i | 0.0732369i | 0.999329 | + | 0.0366184i | \(0.0116586\pi\) | ||||
−0.999329 | + | 0.0366184i | \(0.988341\pi\) | |||||||
\(570\) | −8.88115 | − | 14.4469i | −0.371990 | − | 0.605113i | ||||
\(571\) | − | 15.3998i | − | 0.644460i | −0.946661 | − | 0.322230i | \(-0.895568\pi\) | ||
0.946661 | − | 0.322230i | \(-0.104432\pi\) | |||||||
\(572\) | 6.68798 | + | 9.73265i | 0.279639 | + | 0.406942i | ||||
\(573\) | −23.6770 | − | 23.6770i | −0.989122 | − | 0.989122i | ||||
\(574\) | −0.231311 | + | 2.51630i | −0.00965473 | + | 0.105028i | ||||
\(575\) | 10.5198 | + | 19.2418i | 0.438707 | + | 0.802438i | ||||
\(576\) | −23.1381 | − | 14.1863i | −0.964088 | − | 0.591094i | ||||
\(577\) | −1.31527 | + | 1.31527i | −0.0547554 | + | 0.0547554i | −0.733954 | − | 0.679199i | \(-0.762327\pi\) |
0.679199 | + | 0.733954i | \(0.262327\pi\) | |||||||
\(578\) | −16.4145 | + | 13.6507i | −0.682752 | + | 0.567795i | ||||
\(579\) | 52.3481 | 2.17551 | ||||||||
\(580\) | 11.0319 | + | 22.2931i | 0.458073 | + | 0.925670i | ||||
\(581\) | −32.5223 | −1.34925 | ||||||||
\(582\) | 45.9350 | − | 38.2008i | 1.90407 | − | 1.58348i | ||||
\(583\) | −41.8799 | + | 41.8799i | −1.73449 | + | 1.73449i | ||||
\(584\) | −10.6540 | − | 3.00604i | −0.440866 | − | 0.124391i | ||||
\(585\) | 7.50915 | + | 1.07766i | 0.310465 | + | 0.0445557i | ||||
\(586\) | 2.18700 | − | 23.7911i | 0.0903443 | − | 0.982802i | ||||
\(587\) | −6.86501 | − | 6.86501i | −0.283349 | − | 0.283349i | 0.551094 | − | 0.834443i | \(-0.314211\pi\) |
−0.834443 | + | 0.551094i | \(0.814211\pi\) | |||||||
\(588\) | 16.6464 | − | 11.4389i | 0.686485 | − | 0.471732i | ||||
\(589\) | − | 15.3444i | − | 0.632253i | ||||||
\(590\) | 2.24532 | − | 9.41098i | 0.0924385 | − | 0.387444i | ||||
\(591\) | − | 62.2323i | − | 2.55990i | ||||||
\(592\) | 11.3355 | − | 5.04482i | 0.465884 | − | 0.207341i | ||||
\(593\) | 27.3416 | + | 27.3416i | 1.12279 | + | 1.12279i | 0.991321 | + | 0.131466i | \(0.0419683\pi\) |
0.131466 | + | 0.991321i | \(0.458032\pi\) | |||||||
\(594\) | −8.25391 | − | 0.758742i | −0.338662 | − | 0.0311316i | ||||
\(595\) | −6.13313 | − | 8.18846i | −0.251434 | − | 0.335694i | ||||
\(596\) | 14.5592 | + | 2.69953i | 0.596369 | + | 0.110577i | ||||
\(597\) | −47.0071 | + | 47.0071i | −1.92387 | + | 1.92387i | ||||
\(598\) | −3.96605 | − | 4.76902i | −0.162184 | − | 0.195020i | ||||
\(599\) | 29.1119 | 1.18948 | 0.594740 | − | 0.803918i | \(-0.297255\pi\) | ||||
0.594740 | + | 0.803918i | \(0.297255\pi\) | |||||||
\(600\) | 30.2932 | + | 18.9958i | 1.23672 | + | 0.775499i | ||||
\(601\) | 18.6652 | 0.761370 | 0.380685 | − | 0.924705i | \(-0.375688\pi\) | ||||
0.380685 | + | 0.924705i | \(0.375688\pi\) | |||||||
\(602\) | 24.5444 | + | 29.5137i | 1.00035 | + | 1.20289i | ||||
\(603\) | −8.75793 | + | 8.75793i | −0.356651 | + | 0.356651i | ||||
\(604\) | 16.2333 | + | 3.00993i | 0.660523 | + | 0.122472i | ||||
\(605\) | 31.9886 | + | 42.7087i | 1.30052 | + | 1.73635i | ||||
\(606\) | 16.7327 | + | 1.53816i | 0.679720 | + | 0.0624834i | ||||
\(607\) | 11.4008 | + | 11.4008i | 0.462745 | + | 0.462745i | 0.899554 | − | 0.436809i | \(-0.143892\pi\) |
−0.436809 | + | 0.899554i | \(0.643892\pi\) | |||||||
\(608\) | 3.85459 | + | 11.3623i | 0.156324 | + | 0.460802i | ||||
\(609\) | 46.6273i | 1.88943i | ||||||||
\(610\) | 6.47661 | − | 27.1458i | 0.262230 | − | 1.09910i | ||||
\(611\) | 5.63728i | 0.228060i | ||||||||
\(612\) | −7.71639 | + | 5.30247i | −0.311917 | + | 0.214340i | ||||
\(613\) | −7.48848 | − | 7.48848i | −0.302457 | − | 0.302457i | 0.539517 | − | 0.841974i | \(-0.318607\pi\) |
−0.841974 | + | 0.539517i | \(0.818607\pi\) | |||||||
\(614\) | 0.144561 | − | 1.57259i | 0.00583399 | − | 0.0634645i | ||||
\(615\) | −3.01570 | − | 0.432791i | −0.121605 | − | 0.0174518i | ||||
\(616\) | −15.0370 | + | 53.2941i | −0.605858 | + | 2.14728i | ||||
\(617\) | −4.44176 | + | 4.44176i | −0.178818 | + | 0.178818i | −0.790841 | − | 0.612022i | \(-0.790356\pi\) |
0.612022 | + | 0.790841i | \(0.290356\pi\) | |||||||
\(618\) | −3.32419 | + | 2.76448i | −0.133718 | + | 0.111204i | ||||
\(619\) | −29.5686 | −1.18846 | −0.594231 | − | 0.804294i | \(-0.702544\pi\) | ||||
−0.594231 | + | 0.804294i | \(0.702544\pi\) | |||||||
\(620\) | 14.3493 | + | 28.9970i | 0.576284 | + | 1.16455i | ||||
\(621\) | 4.35362 | 0.174705 | ||||||||
\(622\) | −19.5924 | + | 16.2936i | −0.785585 | + | 0.653314i | ||||
\(623\) | −22.0966 | + | 22.0966i | −0.885281 | + | 0.885281i | ||||
\(624\) | −9.44116 | − | 3.62576i | −0.377949 | − | 0.145146i | ||||
\(625\) | −21.0454 | − | 13.4941i | −0.841816 | − | 0.539765i | ||||
\(626\) | −3.55952 | + | 38.7219i | −0.142267 | + | 1.54764i | ||||
\(627\) | 22.3900 | + | 22.3900i | 0.894171 | + | 0.894171i | ||||
\(628\) | −23.1455 | − | 33.6823i | −0.923605 | − | 1.34407i | ||||
\(629\) | − | 4.28011i | − | 0.170659i | ||||||
\(630\) | 18.6294 | + | 30.3043i | 0.742214 | + | 1.20735i | ||||
\(631\) | 7.08057i | 0.281873i | 0.990019 | + | 0.140937i | \(0.0450113\pi\) | ||||
−0.990019 | + | 0.140937i | \(0.954989\pi\) | |||||||
\(632\) | 17.3397 | − | 9.70815i | 0.689738 | − | 0.386169i | ||||
\(633\) | 11.9262 | + | 11.9262i | 0.474023 | + | 0.474023i | ||||
\(634\) | −17.9764 | − | 1.65248i | −0.713933 | − | 0.0656284i | ||||
\(635\) | −1.93788 | + | 13.5032i | −0.0769026 | + | 0.535859i | ||||
\(636\) | 9.24730 | − | 49.8730i | 0.366679 | − | 1.97759i | ||||
\(637\) | 2.82436 | − | 2.82436i | 0.111905 | − | 0.111905i | ||||
\(638\) | −29.6960 | − | 35.7083i | −1.17568 | − | 1.41371i | ||||
\(639\) | −28.9443 | −1.14502 | ||||||||
\(640\) | −17.9097 | − | 17.8673i | −0.707945 | − | 0.706268i | ||||
\(641\) | 47.7079 | 1.88435 | 0.942174 | − | 0.335124i | \(-0.108778\pi\) | ||||
0.942174 | + | 0.335124i | \(0.108778\pi\) | |||||||
\(642\) | −42.0049 | − | 50.5093i | −1.65780 | − | 1.99344i | ||||
\(643\) | −7.14982 | + | 7.14982i | −0.281961 | + | 0.281961i | −0.833891 | − | 0.551929i | \(-0.813892\pi\) |
0.551929 | + | 0.833891i | \(0.313892\pi\) | |||||||
\(644\) | 5.30256 | − | 28.5980i | 0.208950 | − | 1.12692i | ||||
\(645\) | −37.0423 | + | 27.7446i | −1.45854 | + | 1.09244i | ||||
\(646\) | 4.12163 | + | 0.378882i | 0.162163 | + | 0.0149069i | ||||
\(647\) | −10.5716 | − | 10.5716i | −0.415614 | − | 0.415614i | 0.468075 | − | 0.883689i | \(-0.344948\pi\) |
−0.883689 | + | 0.468075i | \(0.844948\pi\) | |||||||
\(648\) | −18.9244 | + | 10.5954i | −0.743421 | + | 0.416225i | ||||
\(649\) | 18.0651i | 0.709119i | ||||||||
\(650\) | 6.57515 | + | 2.60143i | 0.257899 | + | 0.102036i | ||||
\(651\) | 60.6491i | 2.37703i | ||||||||
\(652\) | −14.6422 | − | 21.3080i | −0.573434 | − | 0.834487i | ||||
\(653\) | 13.5641 | + | 13.5641i | 0.530805 | + | 0.530805i | 0.920812 | − | 0.390007i | \(-0.127527\pi\) |
−0.390007 | + | 0.920812i | \(0.627527\pi\) | |||||||
\(654\) | −0.858497 | + | 9.33909i | −0.0335699 | + | 0.365187i | ||||
\(655\) | 11.3869 | − | 8.52878i | 0.444924 | − | 0.333247i | ||||
\(656\) | 2.01223 | + | 0.772772i | 0.0785644 | + | 0.0301717i | ||||
\(657\) | 9.38899 | − | 9.38899i | 0.366299 | − | 0.366299i | ||||
\(658\) | −20.3244 | + | 16.9023i | −0.792328 | + | 0.658922i | ||||
\(659\) | −12.8543 | −0.500732 | −0.250366 | − | 0.968151i | \(-0.580551\pi\) | ||||
−0.250366 | + | 0.968151i | \(0.580551\pi\) | |||||||
\(660\) | −63.2497 | − | 21.3735i | −2.46199 | − | 0.831961i | ||||
\(661\) | −21.0808 | −0.819949 | −0.409975 | − | 0.912097i | \(-0.634462\pi\) | ||||
−0.409975 | + | 0.912097i | \(0.634462\pi\) | |||||||
\(662\) | 2.24207 | − | 1.86457i | 0.0871405 | − | 0.0724685i | ||||
\(663\) | −2.46694 | + | 2.46694i | −0.0958082 | + | 0.0958082i | ||||
\(664\) | −7.53341 | + | 26.6999i | −0.292353 | + | 1.03616i | ||||
\(665\) | 2.23397 | − | 15.5663i | 0.0866296 | − | 0.603637i | ||||
\(666\) | −1.36230 | + | 14.8197i | −0.0527882 | + | 0.574252i | ||||
\(667\) | 17.2491 | + | 17.2491i | 0.667889 | + | 0.667889i | ||||
\(668\) | 6.23962 | − | 4.28768i | 0.241418 | − | 0.165895i | ||||
\(669\) | − | 14.0011i | − | 0.541314i | ||||||
\(670\) | −9.83498 | + | 6.04601i | −0.379958 | + | 0.233578i | ||||
\(671\) | 52.1087i | 2.01163i | ||||||||
\(672\) | −15.2354 | − | 44.9099i | −0.587719 | − | 1.73244i | ||||
\(673\) | 4.99164 | + | 4.99164i | 0.192414 | + | 0.192414i | 0.796738 | − | 0.604325i | \(-0.206557\pi\) |
−0.604325 | + | 0.796738i | \(0.706557\pi\) | |||||||
\(674\) | 18.8584 | + | 1.73356i | 0.726399 | + | 0.0667743i | ||||
\(675\) | −4.35481 | + | 2.38085i | −0.167617 | + | 0.0916390i | ||||
\(676\) | −1.96648 | − | 0.364619i | −0.0756339 | − | 0.0140238i | ||||
\(677\) | −23.8899 | + | 23.8899i | −0.918164 | + | 0.918164i | −0.996896 | − | 0.0787317i | \(-0.974913\pi\) |
0.0787317 | + | 0.996896i | \(0.474913\pi\) | |||||||
\(678\) | −35.2368 | − | 42.3709i | −1.35326 | − | 1.62725i | ||||
\(679\) | 55.4016 | 2.12612 | ||||||||
\(680\) | −8.14318 | + | 3.13837i | −0.312277 | + | 0.120351i | ||||
\(681\) | 1.57699 | 0.0604302 | ||||||||
\(682\) | −38.6262 | − | 46.4465i | −1.47907 | − | 1.77853i | ||||
\(683\) | 28.7712 | − | 28.7712i | 1.10090 | − | 1.10090i | 0.106598 | − | 0.994302i | \(-0.466004\pi\) |
0.994302 | − | 0.106598i | \(-0.0339958\pi\) | |||||||
\(684\) | −14.1504 | − | 2.62372i | −0.541054 | − | 0.100321i | ||||
\(685\) | 2.11578 | + | 0.303641i | 0.0808398 | + | 0.0116015i | ||||
\(686\) | −14.0354 | − | 1.29020i | −0.535873 | − | 0.0492602i | ||||
\(687\) | 11.3456 | + | 11.3456i | 0.432863 | + | 0.432863i | ||||
\(688\) | 29.9154 | − | 13.3138i | 1.14051 | − | 0.507583i | ||||
\(689\) | − | 10.0308i | − | 0.382144i | ||||||
\(690\) | 34.1099 | + | 8.13813i | 1.29854 | + | 0.309813i | ||||
\(691\) | − | 14.3829i | − | 0.547153i | −0.961850 | − | 0.273576i | \(-0.911793\pi\) | ||
0.961850 | − | 0.273576i | \(-0.0882067\pi\) | |||||||
\(692\) | 10.0544 | − | 6.90906i | 0.382210 | − | 0.262643i | ||||
\(693\) | −46.9661 | − | 46.9661i | −1.78410 | − | 1.78410i | ||||
\(694\) | −1.39313 | + | 15.1551i | −0.0528826 | + | 0.575279i | ||||
\(695\) | −5.97941 | − | 7.98323i | −0.226812 | − | 0.302821i | ||||
\(696\) | 38.2798 | + | 10.8007i | 1.45099 | + | 0.409399i | ||||
\(697\) | 0.525789 | − | 0.525789i | 0.0199157 | − | 0.0199157i | ||||
\(698\) | −5.10448 | + | 4.24503i | −0.193208 | + | 0.160677i | ||||
\(699\) | −22.8908 | −0.865809 | ||||||||
\(700\) | 10.3353 | + | 31.5057i | 0.390637 | + | 1.19080i | ||||
\(701\) | −0.729357 | −0.0275474 | −0.0137737 | − | 0.999905i | \(-0.504384\pi\) | ||||
−0.0137737 | + | 0.999905i | \(0.504384\pi\) | |||||||
\(702\) | 1.07933 | − | 0.897598i | 0.0407366 | − | 0.0338777i | ||||
\(703\) | 4.65211 | − | 4.65211i | 0.175458 | − | 0.175458i | ||||
\(704\) | 40.2699 | + | 24.6900i | 1.51773 | + | 0.930538i | ||||
\(705\) | −19.1061 | − | 25.5089i | −0.719578 | − | 0.960722i | ||||
\(706\) | −1.42343 | + | 15.4847i | −0.0535715 | + | 0.582773i | ||||
\(707\) | 11.0181 | + | 11.0181i | 0.414379 | + | 0.414379i | ||||
\(708\) | −8.76205 | − | 12.7509i | −0.329298 | − | 0.479209i | ||||
\(709\) | 34.6107i | 1.29983i | 0.760006 | + | 0.649916i | \(0.225196\pi\) | ||||
−0.760006 | + | 0.649916i | \(0.774804\pi\) | |||||||
\(710\) | −26.2428 | − | 6.26114i | −0.984873 | − | 0.234976i | ||||
\(711\) | 23.8363i | 0.893932i | ||||||||
\(712\) | 13.0223 | + | 23.2591i | 0.488030 | + | 0.871673i | ||||
\(713\) | 22.4363 | + | 22.4363i | 0.840246 | + | 0.840246i | ||||
\(714\) | −16.2909 | − | 1.49754i | −0.609671 | − | 0.0560441i | ||||
\(715\) | −13.0690 | − | 1.87557i | −0.488753 | − | 0.0701424i | ||||
\(716\) | 3.82147 | − | 20.6101i | 0.142815 | − | 0.770236i | ||||
\(717\) | −29.8421 | + | 29.8421i | −1.11448 | + | 1.11448i | ||||
\(718\) | 20.2189 | + | 24.3125i | 0.754563 | + | 0.907333i | ||||
\(719\) | −18.2520 | −0.680684 | −0.340342 | − | 0.940302i | \(-0.610543\pi\) | ||||
−0.340342 | + | 0.940302i | \(0.610543\pi\) | |||||||
\(720\) | 29.1943 | − | 8.27461i | 1.08801 | − | 0.308377i | ||||
\(721\) | −4.00926 | −0.149312 | ||||||||
\(722\) | −13.1129 | − | 15.7678i | −0.488013 | − | 0.586817i | ||||
\(723\) | 8.71209 | − | 8.71209i | 0.324006 | − | 0.324006i | ||||
\(724\) | 5.65960 | − | 30.5236i | 0.210337 | − | 1.13440i | ||||
\(725\) | −26.6868 | − | 7.82088i | −0.991124 | − | 0.290460i | ||||
\(726\) | 84.9686 | + | 7.81075i | 3.15348 | + | 0.289884i | ||||
\(727\) | 4.69639 | + | 4.69639i | 0.174179 | + | 0.174179i | 0.788813 | − | 0.614633i | \(-0.210696\pi\) |
−0.614633 | + | 0.788813i | \(0.710696\pi\) | |||||||
\(728\) | −4.58155 | − | 8.18312i | −0.169803 | − | 0.303286i | ||||
\(729\) | − | 33.5439i | − | 1.24237i | ||||||
\(730\) | 10.5436 | − | 6.48165i | 0.390238 | − | 0.239897i | ||||
\(731\) | − | 11.2956i | − | 0.417784i | ||||||
\(732\) | −25.2740 | − | 36.7799i | −0.934154 | − | 1.35942i | ||||
\(733\) | −2.92353 | − | 2.92353i | −0.107983 | − | 0.107983i | 0.651051 | − | 0.759034i | \(-0.274328\pi\) |
−0.759034 | + | 0.651051i | \(0.774328\pi\) | |||||||
\(734\) | 1.86790 | − | 20.3198i | 0.0689456 | − | 0.750019i | ||||
\(735\) | −3.20791 | + | 22.3528i | −0.118326 | + | 0.824495i | ||||
\(736\) | −22.2499 | − | 10.9777i | −0.820143 | − | 0.404642i | ||||
\(737\) | 15.2424 | − | 15.2424i | 0.561462 | − | 0.561462i | ||||
\(738\) | −1.98788 | + | 1.65317i | −0.0731748 | + | 0.0608541i | ||||
\(739\) | 41.5292 | 1.52768 | 0.763838 | − | 0.645408i | \(-0.223313\pi\) | ||||
0.763838 | + | 0.645408i | \(0.223313\pi\) | |||||||
\(740\) | −4.44090 | + | 13.1418i | −0.163251 | + | 0.483102i | ||||
\(741\) | −5.36271 | −0.197004 | ||||||||
\(742\) | 36.1647 | − | 30.0755i | 1.32765 | − | 1.10411i | ||||
\(743\) | −0.495864 | + | 0.495864i | −0.0181915 | + | 0.0181915i | −0.716144 | − | 0.697953i | \(-0.754095\pi\) |
0.697953 | + | 0.716144i | \(0.254095\pi\) | |||||||
\(744\) | 49.7913 | + | 14.0487i | 1.82544 | + | 0.515050i | ||||
\(745\) | −13.2505 | + | 9.92459i | −0.485461 | + | 0.363609i | ||||
\(746\) | 3.23307 | − | 35.1706i | 0.118371 | − | 1.28769i | ||||
\(747\) | −23.5296 | − | 23.5296i | −0.860905 | − | 0.860905i | ||||
\(748\) | 13.4297 | − | 9.22849i | 0.491039 | − | 0.337427i | ||||
\(749\) | − | 60.9186i | − | 2.22592i | ||||||
\(750\) | −38.5697 | + | 10.5132i | −1.40837 | + | 0.383888i | ||||
\(751\) | − | 51.0434i | − | 1.86260i | −0.364251 | − | 0.931301i | \(-0.618675\pi\) | ||
0.364251 | − | 0.931301i | \(-0.381325\pi\) | |||||||
\(752\) | 9.16844 | + | 20.6010i | 0.334339 | + | 0.751242i | ||||
\(753\) | 6.80554 | + | 6.80554i | 0.248008 | + | 0.248008i | ||||
\(754\) | 7.83262 | + | 0.720014i | 0.285247 | + | 0.0262214i | ||||
\(755\) | −14.7741 | + | 11.0657i | −0.537684 | + | 0.402724i | ||||
\(756\) | 6.47232 | + | 1.20008i | 0.235396 | + | 0.0436465i | ||||
\(757\) | 33.0450 | − | 33.0450i | 1.20104 | − | 1.20104i | 0.227190 | − | 0.973850i | \(-0.427046\pi\) |
0.973850 | − | 0.227190i | \(-0.0729539\pi\) | |||||||
\(758\) | 6.31831 | + | 7.59752i | 0.229491 | + | 0.275954i | ||||
\(759\) | −65.4767 | −2.37665 | ||||||||
\(760\) | −12.2621 | − | 5.43980i | −0.444792 | − | 0.197322i | ||||
\(761\) | −53.2090 | −1.92882 | −0.964412 | − | 0.264406i | \(-0.914824\pi\) | ||||
−0.964412 | + | 0.264406i | \(0.914824\pi\) | |||||||
\(762\) | 13.9480 | + | 16.7719i | 0.505283 | + | 0.607584i | ||||
\(763\) | −6.14958 | + | 6.14958i | −0.222630 | + | 0.222630i | ||||
\(764\) | −26.0432 | − | 4.82885i | −0.942208 | − | 0.174702i | ||||
\(765\) | 1.48702 | − | 10.3616i | 0.0537633 | − | 0.374624i | ||||
\(766\) | 16.5271 | + | 1.51926i | 0.597148 | + | 0.0548929i | ||||
\(767\) | −2.16342 | − | 2.16342i | −0.0781167 | − | 0.0781167i | ||||
\(768\) | −40.3989 | + | 2.10499i | −1.45777 | + | 0.0759572i | ||||
\(769\) | 42.2296i | 1.52284i | 0.648259 | + | 0.761420i | \(0.275497\pi\) | ||||
−0.648259 | + | 0.761420i | \(0.724503\pi\) | |||||||
\(770\) | −32.4229 | − | 52.7420i | −1.16844 | − | 1.90069i | ||||
\(771\) | 55.1528i | 1.98628i | ||||||||
\(772\) | 34.1278 | − | 23.4516i | 1.22829 | − | 0.844042i | ||||
\(773\) | −7.25976 | − | 7.25976i | −0.261115 | − | 0.261115i | 0.564392 | − | 0.825507i | \(-0.309111\pi\) |
−0.825507 | + | 0.564392i | \(0.809111\pi\) | |||||||
\(774\) | −3.59526 | + | 39.1107i | −0.129229 | + | 1.40580i | ||||
\(775\) | −34.7121 | − | 10.1728i | −1.24690 | − | 0.365417i | ||||
\(776\) | 12.8332 | − | 45.4832i | 0.460683 | − | 1.63275i | ||||
\(777\) | −18.3876 | + | 18.3876i | −0.659653 | + | 0.659653i | ||||
\(778\) | −9.66348 | + | 8.03641i | −0.346452 | + | 0.288119i | ||||
\(779\) | 1.14298 | 0.0409514 | ||||||||
\(780\) | 10.1342 | − | 5.01497i | 0.362863 | − | 0.179565i | ||||
\(781\) | 50.3751 | 1.80256 | ||||||||
\(782\) | −6.58059 | + | 5.47260i | −0.235321 | + | 0.195700i | ||||
\(783\) | −3.90384 | + | 3.90384i | −0.139512 | + | 0.139512i | ||||
\(784\) | 5.72789 | − | 14.9149i | 0.204567 | − | 0.532676i | ||||
\(785\) | 45.2287 | + | 6.49089i | 1.61428 | + | 0.231670i | ||||
\(786\) | 2.08249 | − | 22.6542i | 0.0742801 | − | 0.808050i | ||||
\(787\) | −2.28033 | − | 2.28033i | −0.0812851 | − | 0.0812851i | 0.665295 | − | 0.746580i | \(-0.268306\pi\) |
−0.746580 | + | 0.665295i | \(0.768306\pi\) | |||||||
\(788\) | −27.8797 | − | 40.5717i | −0.993172 | − | 1.44531i | ||||
\(789\) | − | 7.39350i | − | 0.263216i | ||||||
\(790\) | −5.15619 | + | 21.6115i | −0.183449 | + | 0.768903i | ||||
\(791\) | − | 51.1030i | − | 1.81701i | ||||||
\(792\) | −49.4371 | + | 27.6788i | −1.75667 | + | 0.983522i | ||||
\(793\) | −6.24037 | − | 6.24037i | −0.221602 | − | 0.221602i | ||||
\(794\) | 30.6284 | + | 2.81552i | 1.08696 | + | 0.0999190i | ||||
\(795\) | 33.9969 | + | 45.3899i | 1.20575 | + | 1.60981i | ||||
\(796\) | −9.58693 | + | 51.7047i | −0.339800 | + | 1.83262i | ||||
\(797\) | −23.7266 | + | 23.7266i | −0.840439 | + | 0.840439i | −0.988916 | − | 0.148477i | \(-0.952563\pi\) |
0.148477 | + | 0.988916i | \(0.452563\pi\) | |||||||
\(798\) | −16.0791 | − | 19.3345i | −0.569194 | − | 0.684434i | ||||
\(799\) | 7.77867 | 0.275189 | ||||||||
\(800\) | 28.2594 | − | 1.18707i | 0.999119 | − | 0.0419691i | ||||
\(801\) | −31.9735 | −1.12973 | ||||||||
\(802\) | −6.99524 | − | 8.41151i | −0.247011 | − | 0.297021i | ||||
\(803\) | −16.3407 | + | 16.3407i | −0.576651 | + | 0.576651i | ||||
\(804\) | −3.36560 | + | 18.1515i | −0.118696 | + | 0.640154i | ||||
\(805\) | 19.4944 | + | 26.0274i | 0.687088 | + | 0.917344i | ||||
\(806\) | 10.1880 | + | 0.936537i | 0.358858 | + | 0.0329881i | ||||
\(807\) | −1.94484 | − | 1.94484i | −0.0684615 | − | 0.0684615i | ||||
\(808\) | 11.5978 | − | 6.49336i | 0.408010 | − | 0.228436i | ||||
\(809\) | − | 46.5795i | − | 1.63765i | −0.574045 | − | 0.818824i | \(-0.694627\pi\) | ||
0.574045 | − | 0.818824i | \(-0.305373\pi\) | |||||||
\(810\) | 5.62741 | − | 23.5866i | 0.197727 | − | 0.828747i | ||||
\(811\) | 14.5241i | 0.510010i | 0.966940 | + | 0.255005i | \(0.0820770\pi\) | ||||
−0.966940 | + | 0.255005i | \(0.917923\pi\) | |||||||
\(812\) | 20.8887 | + | 30.3982i | 0.733051 | + | 1.06677i | ||||
\(813\) | −33.4086 | − | 33.4086i | −1.17169 | − | 1.17169i | ||||
\(814\) | 2.37097 | − | 25.7924i | 0.0831025 | − | 0.904024i | ||||
\(815\) | 28.6125 | + | 4.10625i | 1.00225 | + | 0.143836i | ||||
\(816\) | −5.00304 | + | 13.0275i | −0.175142 | + | 0.456053i | ||||
\(817\) | 12.2774 | − | 12.2774i | 0.429532 | − | 0.429532i | ||||
\(818\) | 7.90561 | − | 6.57452i | 0.276413 | − | 0.229873i | ||||
\(819\) | 11.2490 | 0.393073 | ||||||||
\(820\) | −2.15994 | + | 1.06886i | −0.0754285 | + | 0.0373262i | ||||
\(821\) | 11.3924 | 0.397597 | 0.198799 | − | 0.980040i | \(-0.436296\pi\) | ||||
0.198799 | + | 0.980040i | \(0.436296\pi\) | |||||||
\(822\) | 2.62795 | − | 2.18547i | 0.0916602 | − | 0.0762271i | ||||
\(823\) | 31.8998 | − | 31.8998i | 1.11196 | − | 1.11196i | 0.119072 | − | 0.992886i | \(-0.462008\pi\) |
0.992886 | − | 0.119072i | \(-0.0379920\pi\) | |||||||
\(824\) | −0.928699 | + | 3.29149i | −0.0323528 | + | 0.114665i | ||||
\(825\) | 65.4946 | − | 35.8070i | 2.28023 | − | 1.24664i | ||||
\(826\) | 1.31329 | − | 14.2865i | 0.0456953 | − | 0.497092i | ||||
\(827\) | 3.71377 | + | 3.71377i | 0.129141 | + | 0.129141i | 0.768723 | − | 0.639582i | \(-0.220893\pi\) |
−0.639582 | + | 0.768723i | \(0.720893\pi\) | |||||||
\(828\) | 24.5269 | − | 16.8541i | 0.852368 | − | 0.585721i | ||||
\(829\) | − | 52.6592i | − | 1.82893i | −0.404666 | − | 0.914465i | \(-0.632612\pi\) | ||
0.404666 | − | 0.914465i | \(-0.367388\pi\) | |||||||
\(830\) | −16.2436 | − | 26.4233i | −0.563824 | − | 0.917166i | ||||
\(831\) | 4.71342i | 0.163507i | ||||||||
\(832\) | −7.77938 | + | 1.86580i | −0.269702 | + | 0.0646850i | ||||
\(833\) | −3.89722 | − | 3.89722i | −0.135031 | − | 0.135031i | ||||
\(834\) | −15.8826 | − | 1.46001i | −0.549969 | − | 0.0505559i | ||||
\(835\) | −1.20243 | + | 8.37857i | −0.0416119 | + | 0.289952i | ||||
\(836\) | 24.6275 | + | 4.56636i | 0.851760 | + | 0.157931i | ||||
\(837\) | −5.07780 | + | 5.07780i | −0.175514 | + | 0.175514i | ||||
\(838\) | −25.7960 | − | 31.0186i | −0.891106 | − | 1.07152i | ||||
\(839\) | −49.5149 | −1.70944 | −0.854721 | − | 0.519087i | \(-0.826272\pi\) | ||||
−0.854721 | + | 0.519087i | \(0.826272\pi\) | |||||||
\(840\) | 48.4663 | + | 21.5010i | 1.67225 | + | 0.741854i | ||||
\(841\) | −1.93415 | −0.0666947 | ||||||||
\(842\) | 26.6684 | + | 32.0678i | 0.919055 | + | 1.10513i | ||||
\(843\) | 13.1390 | − | 13.1390i | 0.452532 | − | 0.452532i | ||||
\(844\) | 13.1180 | + | 2.43230i | 0.451540 | + | 0.0837232i | ||||
\(845\) | 1.78972 | − | 1.34049i | 0.0615681 | − | 0.0461143i | ||||
\(846\) | −26.9333 | − | 2.47585i | −0.925987 | − | 0.0851215i | ||||
\(847\) | 55.9499 | + | 55.9499i | 1.92246 | + | 1.92246i | ||||
\(848\) | −16.3141 | − | 36.6569i | −0.560228 | − | 1.25880i | ||||
\(849\) | − | 25.2091i | − | 0.865174i | ||||||
\(850\) | 3.58961 | − | 9.07280i | 0.123123 | − | 0.311194i | ||||
\(851\) | 13.6045i | 0.466357i | ||||||||
\(852\) | −35.5563 | + | 24.4332i | −1.21814 | + | 0.837067i | ||||
\(853\) | 3.77420 | + | 3.77420i | 0.129226 | + | 0.129226i | 0.768762 | − | 0.639535i | \(-0.220873\pi\) |
−0.639535 | + | 0.768762i | \(0.720873\pi\) | |||||||
\(854\) | 3.78817 | − | 41.2093i | 0.129629 | − | 1.41015i | ||||
\(855\) | 12.8784 | − | 9.64589i | 0.440433 | − | 0.329882i | ||||
\(856\) | −50.0125 | − | 14.1111i | −1.70939 | − | 0.482307i | ||||
\(857\) | 5.34477 | − | 5.34477i | 0.182574 | − | 0.182574i | −0.609903 | − | 0.792476i | \(-0.708791\pi\) |
0.792476 | + | 0.609903i | \(0.208791\pi\) | |||||||
\(858\) | −16.2326 | + | 13.4995i | −0.554173 | + | 0.460865i | ||||
\(859\) | 16.2616 | 0.554840 | 0.277420 | − | 0.960749i | \(-0.410521\pi\) | ||||
0.277420 | + | 0.960749i | \(0.410521\pi\) | |||||||
\(860\) | −11.7200 | + | 34.6825i | −0.399648 | + | 1.18266i | ||||
\(861\) | −4.51765 | −0.153961 | ||||||||
\(862\) | −24.3390 | + | 20.2410i | −0.828990 | + | 0.689411i | ||||
\(863\) | −0.381854 | + | 0.381854i | −0.0129985 | + | 0.0129985i | −0.713576 | − | 0.700578i | \(-0.752926\pi\) |
0.700578 | + | 0.713576i | \(0.252926\pi\) | |||||||
\(864\) | 2.48447 | − | 5.03562i | 0.0845235 | − | 0.171315i | ||||
\(865\) | −1.93757 | + | 13.5010i | −0.0658794 | + | 0.459049i | ||||
\(866\) | 1.66202 | − | 18.0801i | 0.0564777 | − | 0.614387i | ||||
\(867\) | −26.9889 | − | 26.9889i | −0.916591 | − | 0.916591i | ||||
\(868\) | 27.1704 | + | 39.5396i | 0.922223 | + | 1.34206i | ||||
\(869\) | − | 41.4850i | − | 1.40728i | ||||||
\(870\) | −37.8832 | + | 23.2885i | −1.28436 | + | 0.789555i | ||||
\(871\) | 3.65077i | 0.123702i | ||||||||
\(872\) | 3.62416 | + | 6.47313i | 0.122730 | + | 0.219208i | ||||
\(873\) | 40.0827 | + | 40.0827i | 1.35659 | + | 1.35659i | ||||
\(874\) | −13.1008 | − | 1.20429i | −0.443140 | − | 0.0407357i | ||||
\(875\) | −33.7332 | − | 15.3736i | −1.14039 | − | 0.519724i | ||||
\(876\) | 3.60811 | − | 19.4594i | 0.121907 | − | 0.657473i | ||||
\(877\) | −23.3288 | + | 23.3288i | −0.787756 | + | 0.787756i | −0.981126 | − | 0.193370i | \(-0.938058\pi\) |
0.193370 | + | 0.981126i | \(0.438058\pi\) | |||||||
\(878\) | −0.332054 | − | 0.399282i | −0.0112063 | − | 0.0134751i | ||||
\(879\) | 42.7136 | 1.44069 | ||||||||
\(880\) | −50.8102 | + | 14.4012i | −1.71281 | + | 0.485466i | ||||
\(881\) | −1.58726 | −0.0534761 | −0.0267380 | − | 0.999642i | \(-0.508512\pi\) | ||||
−0.0267380 | + | 0.999642i | \(0.508512\pi\) | |||||||
\(882\) | 12.2535 | + | 14.7344i | 0.412598 | + | 0.496133i | ||||
\(883\) | −6.47019 | + | 6.47019i | −0.217739 | + | 0.217739i | −0.807545 | − | 0.589806i | \(-0.799204\pi\) |
0.589806 | + | 0.807545i | \(0.299204\pi\) | |||||||
\(884\) | −0.503124 | + | 2.71347i | −0.0169219 | + | 0.0912640i | ||||
\(885\) | 17.1220 | + | 2.45722i | 0.575548 | + | 0.0825985i | ||||
\(886\) | 30.6989 | + | 2.82200i | 1.03135 | + | 0.0948068i | ||||
\(887\) | 9.17801 | + | 9.17801i | 0.308167 | + | 0.308167i | 0.844198 | − | 0.536031i | \(-0.180077\pi\) |
−0.536031 | + | 0.844198i | \(0.680077\pi\) | |||||||
\(888\) | 10.8365 | + | 19.3550i | 0.363648 | + | 0.649513i | ||||
\(889\) | 20.2284i | 0.678439i | ||||||||
\(890\) | −28.9892 | − | 6.91639i | −0.971719 | − | 0.231838i | ||||
\(891\) | 45.2763i | 1.51681i | ||||||||
\(892\) | −6.27241 | − | 9.12788i | −0.210016 | − | 0.305624i | ||||
\(893\) | 8.45474 | + | 8.45474i | 0.282927 | + | 0.282927i | ||||
\(894\) | −2.42331 | + | 26.3618i | −0.0810477 | + | 0.881670i | ||||
\(895\) | 14.0493 | + | 18.7575i | 0.469616 | + | 0.626993i | ||||
\(896\) | −30.0519 | − | 22.4532i | −1.00396 | − | 0.750109i | ||||
\(897\) | 7.84128 | − | 7.84128i | 0.261813 | − | 0.261813i | ||||
\(898\) | −43.7183 | + | 36.3573i | −1.45890 | + | 1.21326i | ||||
\(899\) | −40.2367 | −1.34197 | ||||||||
\(900\) | −15.3166 | + | 30.2717i | −0.510554 | + | 1.00906i | ||||
\(901\) | −13.8411 | −0.461115 | ||||||||
\(902\) | 3.45973 | − | 2.87720i | 0.115196 | − | 0.0958004i | ||||
\(903\) | −48.5268 | + | 48.5268i | −1.61487 | + | 1.61487i | ||||
\(904\) | −41.9542 | − | 11.8374i | −1.39538 | − | 0.393707i | ||||
\(905\) | 20.8070 | + | 27.7798i | 0.691648 | + | 0.923433i | ||||
\(906\) | −2.70195 | + | 29.3929i | −0.0897663 | + | 0.976515i | ||||
\(907\) | −12.0107 | − | 12.0107i | −0.398810 | − | 0.398810i | 0.479003 | − | 0.877813i | \(-0.340998\pi\) |
−0.877813 | + | 0.479003i | \(0.840998\pi\) | |||||||
\(908\) | 1.02810 | − | 0.706479i | 0.0341187 | − | 0.0234453i | ||||
\(909\) | 15.9431i | 0.528799i | ||||||||
\(910\) | 10.1991 | + | 2.43335i | 0.338096 | + | 0.0806648i | ||||
\(911\) | 14.8483i | 0.491947i | 0.969277 | + | 0.245974i | \(0.0791076\pi\) | ||||
−0.969277 | + | 0.245974i | \(0.920892\pi\) | |||||||
\(912\) | −19.5976 | + | 8.72189i | −0.648943 | + | 0.288811i | ||||
\(913\) | 40.9513 | + | 40.9513i | 1.35529 | + | 1.35529i | ||||
\(914\) | 18.2327 | + | 1.67604i | 0.603084 | + | 0.0554386i | ||||
\(915\) | 49.3881 | + | 7.08782i | 1.63272 | + | 0.234316i | ||||
\(916\) | 12.4794 | + | 2.31390i | 0.412333 | + | 0.0764535i | ||||
\(917\) | 14.9173 | − | 14.9173i | 0.492613 | − | 0.492613i | ||||
\(918\) | −1.23856 | − | 1.48932i | −0.0408786 | − | 0.0491550i | ||||
\(919\) | −11.8992 | −0.392517 | −0.196259 | − | 0.980552i | \(-0.562879\pi\) | ||||
−0.196259 | + | 0.980552i | \(0.562879\pi\) | |||||||
\(920\) | 25.8834 | − | 9.97544i | 0.853351 | − | 0.328881i | ||||
\(921\) | 2.82336 | 0.0930329 | ||||||||
\(922\) | 25.8999 | + | 31.1436i | 0.852967 | + | 1.02566i | ||||
\(923\) | −6.03276 | + | 6.03276i | −0.198571 | + | 0.198571i | ||||
\(924\) | −97.3411 | − | 18.0487i | −3.20229 | − | 0.593759i | ||||
\(925\) | −7.43985 | − | 13.6082i | −0.244621 | − | 0.447436i | ||||
\(926\) | 40.6690 | + | 3.73851i | 1.33647 | + | 0.122855i | ||||
\(927\) | −2.90067 | − | 2.90067i | −0.0952705 | − | 0.0952705i | ||||
\(928\) | 29.7948 | − | 10.1077i | 0.978061 | − | 0.331801i | ||||
\(929\) | 48.4616i | 1.58998i | 0.606626 | + | 0.794988i | \(0.292523\pi\) | ||||
−0.606626 | + | 0.794988i | \(0.707477\pi\) | |||||||
\(930\) | −49.2755 | + | 30.2919i | −1.61581 | + | 0.993309i | ||||
\(931\) | − | 8.47189i | − | 0.277655i | ||||||
\(932\) | −14.9234 | + | 10.2549i | −0.488833 | + | 0.335911i | ||||
\(933\) | −32.2141 | − | 32.2141i | −1.05464 | − | 1.05464i | ||||
\(934\) | −3.91049 | + | 42.5399i | −0.127955 | + | 1.39195i | ||||
\(935\) | −2.58803 | + | 18.0334i | −0.0846376 | + | 0.589756i | ||||
\(936\) | 2.60571 | − | 9.23515i | 0.0851704 | − | 0.301860i | ||||
\(937\) | −9.15329 | + | 9.15329i | −0.299025 | + | 0.299025i | −0.840632 | − | 0.541607i | \(-0.817816\pi\) |
0.541607 | + | 0.840632i | \(0.317816\pi\) | |||||||
\(938\) | −13.1623 | + | 10.9461i | −0.429765 | + | 0.357404i | ||||
\(939\) | −69.5196 | −2.26869 | ||||||||
\(940\) | −23.8839 | − | 8.07088i | −0.779006 | − | 0.263243i | ||||
\(941\) | 2.89295 | 0.0943076 | 0.0471538 | − | 0.998888i | \(-0.484985\pi\) | ||||
0.0471538 | + | 0.998888i | \(0.484985\pi\) | |||||||
\(942\) | 56.1772 | − | 46.7185i | 1.83035 | − | 1.52217i | ||||
\(943\) | −1.67124 | + | 1.67124i | −0.0544232 | + | 0.0544232i | ||||
\(944\) | −11.4247 | − | 4.38749i | −0.371841 | − | 0.142801i | ||||
\(945\) | −5.89053 | + | 4.41199i | −0.191619 | + | 0.143522i | ||||
\(946\) | 6.25723 | − | 68.0687i | 0.203440 | − | 2.21311i | ||||
\(947\) | 26.8015 | + | 26.8015i | 0.870932 | + | 0.870932i | 0.992574 | − | 0.121642i | \(-0.0388159\pi\) |
−0.121642 | + | 0.992574i | \(0.538816\pi\) | |||||||
\(948\) | 20.1213 | + | 29.2814i | 0.653509 | + | 0.951015i | ||||
\(949\) | − | 3.91382i | − | 0.127048i | ||||||
\(950\) | 13.7629 | − | 5.95976i | 0.446529 | − | 0.193360i | ||||
\(951\) | − | 32.2740i | − | 1.04656i | ||||||
\(952\) | −11.2916 | + | 6.32190i | −0.365962 | + | 0.204894i | ||||
\(953\) | 3.36852 | + | 3.36852i | 0.109117 | + | 0.109117i | 0.759557 | − | 0.650440i | \(-0.225416\pi\) |
−0.650440 | + | 0.759557i | \(0.725416\pi\) | |||||||
\(954\) | 47.9244 | + | 4.40546i | 1.55161 | + | 0.142632i | ||||
\(955\) | 23.7021 | − | 17.7528i | 0.766983 | − | 0.574468i | ||||
\(956\) | −6.08620 | + | 32.8244i | −0.196842 | + | 1.06162i | ||||
\(957\) | 58.7121 | − | 58.7121i | 1.89789 | − | 1.89789i | ||||
\(958\) | −3.74704 | − | 4.50567i | −0.121061 | − | 0.145572i | ||||
\(959\) | 3.16953 | 0.102349 | ||||||||
\(960\) | 28.8784 | − | 34.8090i | 0.932046 | − | 1.12346i | ||||
\(961\) | −21.3366 | −0.688278 | ||||||||
\(962\) | 2.80488 | + | 3.37276i | 0.0904329 | + | 0.108742i | ||||
\(963\) | 44.0742 | − | 44.0742i | 1.42027 | − | 1.42027i | ||||
\(964\) | 1.77680 | − | 9.58272i | 0.0572269 | − | 0.308639i | ||||
\(965\) | −6.57675 | + | 45.8269i | −0.211713 | + | 1.47522i | ||||
\(966\) | 51.7813 | + | 4.76000i | 1.66603 | + | 0.153150i | ||||
\(967\) | 8.63935 | + | 8.63935i | 0.277823 | + | 0.277823i | 0.832239 | − | 0.554417i | \(-0.187059\pi\) |
−0.554417 | + | 0.832239i | \(0.687059\pi\) | |||||||
\(968\) | 58.8936 | − | 32.9732i | 1.89291 | − | 1.05980i | ||||
\(969\) | 7.39980i | 0.237716i | ||||||||
\(970\) | 27.6710 | + | 45.0121i | 0.888461 | + | 1.44525i | ||||
\(971\) | − | 0.617122i | − | 0.0198044i | −0.999951 | − | 0.00990220i | \(-0.996848\pi\) | ||
0.999951 | − | 0.00990220i | \(-0.00315202\pi\) | |||||||
\(972\) | −25.3332 | − | 36.8659i | −0.812562 | − | 1.18248i | ||||
\(973\) | −10.4583 | − | 10.4583i | −0.335278 | − | 0.335278i | ||||
\(974\) | −4.52154 | + | 49.1872i | −0.144879 | + | 1.57606i | ||||
\(975\) | −3.55529 | + | 12.1316i | −0.113861 | + | 0.388521i | ||||
\(976\) | −32.9543 | − | 12.6557i | −1.05484 | − | 0.405098i | ||||
\(977\) | −33.6160 | + | 33.6160i | −1.07547 | + | 1.07547i | −0.0785608 | + | 0.996909i | \(0.525032\pi\) |
−0.996909 | + | 0.0785608i | \(0.974968\pi\) | |||||||
\(978\) | 35.5387 | − | 29.5549i | 1.13640 | − | 0.945063i | ||||
\(979\) | 55.6470 | 1.77849 | ||||||||
\(980\) | 7.92253 | + | 16.0098i | 0.253076 | + | 0.511414i | ||||
\(981\) | −8.89837 | −0.284103 | ||||||||
\(982\) | 21.0058 | − | 17.4690i | 0.670322 | − | 0.557458i | ||||
\(983\) | 27.8829 | − | 27.8829i | 0.889327 | − | 0.889327i | −0.105131 | − | 0.994458i | \(-0.533526\pi\) |
0.994458 | + | 0.105131i | \(0.0335262\pi\) | |||||||
\(984\) | −1.04646 | + | 3.70887i | −0.0333600 | + | 0.118234i | ||||
\(985\) | 54.4798 | + | 7.81855i | 1.73587 | + | 0.249120i | ||||
\(986\) | 0.993520 | − | 10.8079i | 0.0316401 | − | 0.344194i | ||||
\(987\) | −33.4177 | − | 33.4177i | −1.06370 | − | 1.06370i | ||||
\(988\) | −3.49617 | + | 2.40246i | −0.111228 | + | 0.0764324i | ||||
\(989\) | 35.9036i | 1.14167i | ||||||||
\(990\) | 14.7007 | − | 61.6163i | 0.467220 | − | 1.95829i | ||||
\(991\) | − | 1.39819i | − | 0.0444150i | −0.999753 | − | 0.0222075i | \(-0.992931\pi\) | ||
0.999753 | − | 0.0222075i | \(-0.00706945\pi\) | |||||||
\(992\) | 38.7546 | − | 13.1473i | 1.23046 | − | 0.417426i | ||||
\(993\) | 3.68644 | + | 3.68644i | 0.116986 | + | 0.116986i | ||||
\(994\) | −39.8384 | − | 3.66215i | −1.26360 | − | 0.116156i | ||||
\(995\) | −35.2455 | − | 47.0570i | −1.11736 | − | 1.49181i | ||||
\(996\) | −48.7671 | − | 9.04225i | −1.54524 | − | 0.286515i | ||||
\(997\) | −24.4024 | + | 24.4024i | −0.772832 | + | 0.772832i | −0.978601 | − | 0.205769i | \(-0.934030\pi\) |
0.205769 | + | 0.978601i | \(0.434030\pi\) | |||||||
\(998\) | 4.34211 | + | 5.22122i | 0.137447 | + | 0.165275i | ||||
\(999\) | −3.07898 | −0.0974146 |
(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.183.26 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.9 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.9 | ✓ | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.26 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.9 | ✓ | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.27.26 | yes | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.183.9 | yes | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.183.26 | yes | 72 | 1.1 | even | 1 | trivial |