Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.16 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.923787 | − | 1.07080i | −0.653216 | − | 0.757172i | ||||
\(3\) | 1.20611 | + | 1.24310i | 0.696348 | + | 0.717704i | ||||
\(4\) | −0.293236 | + | 1.97839i | −0.146618 | + | 0.989193i | ||||
\(5\) | 2.16410 | − | 0.562738i | 0.967815 | − | 0.251664i | ||||
\(6\) | 0.216925 | − | 2.43987i | 0.0885593 | − | 0.996071i | ||||
\(7\) | 3.72853i | 1.40925i | 0.709580 | + | 0.704625i | \(0.248885\pi\) | ||||
−0.709580 | + | 0.704625i | \(0.751115\pi\) | |||||||
\(8\) | 2.38935 | − | 1.51361i | 0.844762 | − | 0.535142i | ||||
\(9\) | −0.0905939 | + | 2.99863i | −0.0301980 | + | 0.999544i | ||||
\(10\) | −2.60175 | − | 1.79747i | −0.822745 | − | 0.568411i | ||||
\(11\) | −2.85309 | + | 2.07289i | −0.860240 | + | 0.625001i | −0.927950 | − | 0.372704i | \(-0.878431\pi\) |
0.0677102 | + | 0.997705i | \(0.478431\pi\) | |||||||
\(12\) | −2.81301 | + | 2.02163i | −0.812045 | + | 0.583595i | ||||
\(13\) | −2.64426 | − | 1.92116i | −0.733384 | − | 0.532835i | 0.157248 | − | 0.987559i | \(-0.449738\pi\) |
−0.890632 | + | 0.454724i | \(0.849738\pi\) | |||||||
\(14\) | 3.99251 | − | 3.44436i | 1.06704 | − | 0.920545i | ||||
\(15\) | 3.30968 | + | 2.01147i | 0.854556 | + | 0.519358i | ||||
\(16\) | −3.82803 | − | 1.16027i | −0.957006 | − | 0.290067i | ||||
\(17\) | −1.89045 | + | 0.614246i | −0.458503 | + | 0.148977i | −0.529156 | − | 0.848524i | \(-0.677491\pi\) |
0.0706537 | + | 0.997501i | \(0.477491\pi\) | |||||||
\(18\) | 3.29463 | − | 2.67309i | 0.776552 | − | 0.630053i | ||||
\(19\) | 3.02333 | − | 0.982340i | 0.693600 | − | 0.225364i | 0.0590600 | − | 0.998254i | \(-0.481190\pi\) |
0.634540 | + | 0.772890i | \(0.281190\pi\) | |||||||
\(20\) | 0.478722 | + | 4.44644i | 0.107045 | + | 0.994254i | ||||
\(21\) | −4.63493 | + | 4.49701i | −1.01142 | + | 0.981329i | ||||
\(22\) | 4.85531 | + | 1.14019i | 1.03516 | + | 0.243089i | ||||
\(23\) | 1.00203 | − | 0.728021i | 0.208939 | − | 0.151803i | −0.478395 | − | 0.878145i | \(-0.658781\pi\) |
0.687333 | + | 0.726342i | \(0.258781\pi\) | |||||||
\(24\) | 4.76339 | + | 1.14462i | 0.972322 | + | 0.233644i | ||||
\(25\) | 4.36665 | − | 2.43564i | 0.873330 | − | 0.487129i | ||||
\(26\) | 0.385541 | + | 4.60622i | 0.0756108 | + | 0.903354i | ||||
\(27\) | −3.83686 | + | 3.50406i | −0.738405 | + | 0.674358i | ||||
\(28\) | −7.37646 | − | 1.09334i | −1.39402 | − | 0.206621i | ||||
\(29\) | 2.72526 | + | 0.885489i | 0.506067 | + | 0.164431i | 0.550913 | − | 0.834563i | \(-0.314280\pi\) |
−0.0448457 | + | 0.998994i | \(0.514280\pi\) | |||||||
\(30\) | −0.903558 | − | 5.40218i | −0.164966 | − | 0.986299i | ||||
\(31\) | 9.25193 | − | 3.00613i | 1.66170 | − | 0.539918i | 0.680469 | − | 0.732777i | \(-0.261776\pi\) |
0.981226 | + | 0.192859i | \(0.0617761\pi\) | |||||||
\(32\) | 2.29386 | + | 5.17090i | 0.405501 | + | 0.914095i | ||||
\(33\) | −6.01796 | − | 1.04654i | −1.04759 | − | 0.182179i | ||||
\(34\) | 2.40411 | + | 1.45687i | 0.412302 | + | 0.249851i | ||||
\(35\) | 2.09818 | + | 8.06890i | 0.354658 | + | 1.36389i | ||||
\(36\) | −5.90589 | − | 1.05854i | −0.984314 | − | 0.176423i | ||||
\(37\) | −2.96797 | − | 2.15636i | −0.487932 | − | 0.354503i | 0.316457 | − | 0.948607i | \(-0.397507\pi\) |
−0.804388 | + | 0.594104i | \(0.797507\pi\) | |||||||
\(38\) | −3.84481 | − | 2.32992i | −0.623710 | − | 0.377963i | ||||
\(39\) | −0.801066 | − | 5.60421i | −0.128273 | − | 0.897392i | ||||
\(40\) | 4.31902 | − | 4.62018i | 0.682897 | − | 0.730514i | ||||
\(41\) | 7.18888 | − | 9.89465i | 1.12272 | − | 1.54528i | 0.321499 | − | 0.946910i | \(-0.395813\pi\) |
0.801216 | − | 0.598375i | \(-0.204187\pi\) | |||||||
\(42\) | 9.09710 | + | 0.808811i | 1.40371 | + | 0.124802i | ||||
\(43\) | − | 5.08317i | − | 0.775176i | −0.921833 | − | 0.387588i | \(-0.873308\pi\) | ||
0.921833 | − | 0.387588i | \(-0.126692\pi\) | |||||||
\(44\) | −3.26436 | − | 6.25237i | −0.492120 | − | 0.942580i | ||||
\(45\) | 1.49139 | + | 6.54032i | 0.222323 | + | 0.974973i | ||||
\(46\) | −1.70523 | − | 0.400445i | −0.251423 | − | 0.0590424i | ||||
\(47\) | −0.623353 | + | 1.91848i | −0.0909254 | + | 0.279840i | −0.986170 | − | 0.165735i | \(-0.947000\pi\) |
0.895245 | + | 0.445574i | \(0.147000\pi\) | |||||||
\(48\) | −3.17469 | − | 6.15803i | −0.458228 | − | 0.888835i | ||||
\(49\) | −6.90190 | −0.985986 | ||||||||
\(50\) | −6.64195 | − | 2.42581i | −0.939313 | − | 0.343061i | ||||
\(51\) | −3.04367 | − | 1.60918i | −0.426199 | − | 0.225330i | ||||
\(52\) | 4.57620 | − | 4.66800i | 0.634604 | − | 0.647336i | ||||
\(53\) | 4.01912 | + | 1.30589i | 0.552069 | + | 0.179378i | 0.571749 | − | 0.820428i | \(-0.306265\pi\) |
−0.0196806 | + | 0.999806i | \(0.506265\pi\) | |||||||
\(54\) | 7.29661 | + | 0.871516i | 0.992942 | + | 0.118598i | ||||
\(55\) | −5.00788 | + | 6.09149i | −0.675263 | + | 0.821377i | ||||
\(56\) | 5.64353 | + | 8.90875i | 0.754149 | + | 1.19048i | ||||
\(57\) | 4.86762 | + | 2.57349i | 0.644732 | + | 0.340867i | ||||
\(58\) | −1.56937 | − | 3.73621i | −0.206069 | − | 0.490589i | ||||
\(59\) | 2.52634 | + | 1.83549i | 0.328901 | + | 0.238960i | 0.739964 | − | 0.672646i | \(-0.234842\pi\) |
−0.411063 | + | 0.911607i | \(0.634842\pi\) | |||||||
\(60\) | −4.94998 | + | 5.95800i | −0.639039 | + | 0.769174i | ||||
\(61\) | 7.65840 | − | 5.56415i | 0.980558 | − | 0.712417i | 0.0227244 | − | 0.999742i | \(-0.492766\pi\) |
0.957833 | + | 0.287325i | \(0.0927660\pi\) | |||||||
\(62\) | −11.7658 | − | 7.12996i | −1.49426 | − | 0.905506i | ||||
\(63\) | −11.1805 | − | 0.337782i | −1.40861 | − | 0.0425565i | ||||
\(64\) | 3.41797 | − | 7.23308i | 0.427247 | − | 0.904135i | ||||
\(65\) | −6.80354 | − | 2.66957i | −0.843876 | − | 0.331119i | ||||
\(66\) | 4.43867 | + | 7.41083i | 0.546363 | + | 0.912210i | ||||
\(67\) | −13.7784 | + | 4.47688i | −1.68330 | + | 0.546938i | −0.985548 | − | 0.169399i | \(-0.945817\pi\) |
−0.697754 | + | 0.716337i | \(0.745817\pi\) | |||||||
\(68\) | −0.660867 | − | 3.92017i | −0.0801418 | − | 0.475390i | ||||
\(69\) | 2.11357 | + | 0.367555i | 0.254444 | + | 0.0442485i | ||||
\(70\) | 6.70192 | − | 9.70068i | 0.801033 | − | 1.15945i | ||||
\(71\) | −1.64679 | + | 5.06831i | −0.195438 | + | 0.601497i | 0.804533 | + | 0.593908i | \(0.202416\pi\) |
−0.999971 | + | 0.00758919i | \(0.997584\pi\) | |||||||
\(72\) | 4.32230 | + | 7.30190i | 0.509388 | + | 0.860537i | ||||
\(73\) | −5.62788 | + | 4.08889i | −0.658693 | + | 0.478569i | −0.866221 | − | 0.499660i | \(-0.833458\pi\) |
0.207528 | + | 0.978229i | \(0.433458\pi\) | |||||||
\(74\) | 0.432740 | + | 5.17013i | 0.0503050 | + | 0.601015i | ||||
\(75\) | 8.29441 | + | 2.49053i | 0.957756 | + | 0.287581i | ||||
\(76\) | 1.05690 | + | 6.26938i | 0.121235 | + | 0.719147i | ||||
\(77\) | −7.72884 | − | 10.6378i | −0.880783 | − | 1.21229i | ||||
\(78\) | −5.26099 | + | 6.03488i | −0.595689 | + | 0.683315i | ||||
\(79\) | −9.60080 | − | 3.11949i | −1.08017 | − | 0.350970i | −0.285732 | − | 0.958309i | \(-0.592237\pi\) |
−0.794442 | + | 0.607339i | \(0.792237\pi\) | |||||||
\(80\) | −8.93715 | − | 0.356760i | −0.999204 | − | 0.0398869i | ||||
\(81\) | −8.98359 | − | 0.543315i | −0.998176 | − | 0.0603684i | ||||
\(82\) | −17.2362 | + | 1.44267i | −1.90342 | + | 0.159316i | ||||
\(83\) | −4.65327 | − | 14.3213i | −0.510763 | − | 1.57197i | −0.790862 | − | 0.611995i | \(-0.790367\pi\) |
0.280099 | − | 0.959971i | \(-0.409633\pi\) | |||||||
\(84\) | −7.53770 | − | 10.4884i | −0.822431 | − | 1.14437i | ||||
\(85\) | −3.74547 | + | 2.39312i | −0.406253 | + | 0.259570i | ||||
\(86\) | −5.44307 | + | 4.69576i | −0.586941 | + | 0.506357i | ||||
\(87\) | 2.18621 | + | 4.45576i | 0.234386 | + | 0.477708i | ||||
\(88\) | −3.67948 | + | 9.27133i | −0.392234 | + | 0.988328i | ||||
\(89\) | 1.86723 | + | 2.57002i | 0.197926 | + | 0.272421i | 0.896431 | − | 0.443184i | \(-0.146151\pi\) |
−0.698505 | + | 0.715605i | \(0.746151\pi\) | |||||||
\(90\) | 5.62566 | − | 7.63884i | 0.592997 | − | 0.805205i | ||||
\(91\) | 7.16311 | − | 9.85917i | 0.750898 | − | 1.03352i | ||||
\(92\) | 1.14647 | + | 2.19589i | 0.119528 | + | 0.228938i | ||||
\(93\) | 14.8958 | + | 7.87534i | 1.54462 | + | 0.816635i | ||||
\(94\) | 2.63016 | − | 1.10478i | 0.271280 | − | 0.113950i | ||||
\(95\) | 5.98999 | − | 3.82723i | 0.614560 | − | 0.392665i | ||||
\(96\) | −3.66129 | + | 9.08818i | −0.373679 | + | 0.927558i | ||||
\(97\) | 0.754039 | − | 2.32069i | 0.0765611 | − | 0.235631i | −0.905450 | − | 0.424452i | \(-0.860467\pi\) |
0.982011 | + | 0.188821i | \(0.0604667\pi\) | |||||||
\(98\) | 6.37589 | + | 7.39058i | 0.644062 | + | 0.746561i | ||||
\(99\) | −5.95737 | − | 8.74317i | −0.598738 | − | 0.878721i | ||||
\(100\) | 3.53818 | + | 9.35314i | 0.353818 | + | 0.935314i | ||||
\(101\) | 10.8638i | 1.08098i | 0.841349 | + | 0.540492i | \(0.181762\pi\) | ||||
−0.841349 | + | 0.540492i | \(0.818238\pi\) | |||||||
\(102\) | 1.08859 | + | 4.74570i | 0.107787 | + | 0.469894i | ||||
\(103\) | 11.8136 | + | 3.83848i | 1.16403 | + | 0.378216i | 0.826412 | − | 0.563066i | \(-0.190379\pi\) |
0.337619 | + | 0.941283i | \(0.390379\pi\) | |||||||
\(104\) | −9.22594 | − | 0.587961i | −0.904678 | − | 0.0576543i | ||||
\(105\) | −7.49981 | + | 12.3402i | −0.731906 | + | 1.20428i | ||||
\(106\) | −2.31446 | − | 5.51005i | −0.224800 | − | 0.535184i | ||||
\(107\) | −4.06445 | −0.392925 | −0.196463 | − | 0.980511i | \(-0.562945\pi\) | ||||
−0.196463 | + | 0.980511i | \(0.562945\pi\) | |||||||
\(108\) | −5.80729 | − | 8.61832i | −0.558806 | − | 0.829298i | ||||
\(109\) | 5.86170 | + | 4.25878i | 0.561449 | + | 0.407917i | 0.831989 | − | 0.554792i | \(-0.187202\pi\) |
−0.270540 | + | 0.962709i | \(0.587202\pi\) | |||||||
\(110\) | 11.1490 | − | 0.264789i | 1.06302 | − | 0.0252466i | ||||
\(111\) | −0.899135 | − | 6.29029i | −0.0853421 | − | 0.597048i | ||||
\(112\) | 4.32609 | − | 14.2729i | 0.408777 | − | 1.34866i | ||||
\(113\) | 7.49495 | − | 10.3159i | 0.705066 | − | 0.970439i | −0.294824 | − | 0.955552i | \(-0.595261\pi\) |
0.999889 | − | 0.0148878i | \(-0.00473911\pi\) | |||||||
\(114\) | −1.74094 | − | 7.58962i | −0.163054 | − | 0.710833i | ||||
\(115\) | 1.75882 | − | 2.13939i | 0.164011 | − | 0.199499i | ||||
\(116\) | −2.55098 | + | 5.13195i | −0.236853 | + | 0.476490i | ||||
\(117\) | 6.00042 | − | 7.75510i | 0.554739 | − | 0.716959i | ||||
\(118\) | −0.368348 | − | 4.40081i | −0.0339092 | − | 0.405127i | ||||
\(119\) | −2.29023 | − | 7.04861i | −0.209945 | − | 0.646145i | ||||
\(120\) | 10.9526 | − | 0.203472i | 0.999827 | − | 0.0185744i | ||||
\(121\) | 0.444067 | − | 1.36670i | 0.0403697 | − | 0.124245i | ||||
\(122\) | −13.0328 | − | 3.06054i | −1.17994 | − | 0.277088i | ||||
\(123\) | 20.9706 | − | 2.99754i | 1.89086 | − | 0.270279i | ||||
\(124\) | 3.23430 | + | 19.1854i | 0.290448 | + | 1.72290i | ||||
\(125\) | 8.07924 | − | 7.72825i | 0.722629 | − | 0.691236i | ||||
\(126\) | 9.96668 | + | 12.2841i | 0.887902 | + | 1.09436i | ||||
\(127\) | −1.49096 | − | 2.05213i | −0.132301 | − | 0.182097i | 0.737727 | − | 0.675099i | \(-0.235899\pi\) |
−0.870028 | + | 0.493003i | \(0.835899\pi\) | |||||||
\(128\) | −10.9027 | + | 3.02185i | −0.963670 | + | 0.267096i | ||||
\(129\) | 6.31889 | − | 6.13087i | 0.556347 | − | 0.539793i | ||||
\(130\) | 3.42645 | + | 9.75136i | 0.300519 | + | 0.855251i | ||||
\(131\) | −4.39825 | − | 13.5364i | −0.384277 | − | 1.18268i | −0.937004 | − | 0.349320i | \(-0.886413\pi\) |
0.552727 | − | 0.833362i | \(-0.313587\pi\) | |||||||
\(132\) | 3.83514 | − | 11.5990i | 0.333806 | − | 1.00956i | ||||
\(133\) | 3.66268 | + | 11.2726i | 0.317595 | + | 0.977456i | ||||
\(134\) | 17.5222 | + | 10.6183i | 1.51369 | + | 0.917280i | ||||
\(135\) | −6.33149 | + | 9.74229i | −0.544927 | + | 0.838483i | ||||
\(136\) | −3.58723 | + | 4.32906i | −0.307602 | + | 0.371214i | ||||
\(137\) | −2.86731 | + | 3.94651i | −0.244971 | + | 0.337173i | −0.913742 | − | 0.406295i | \(-0.866821\pi\) |
0.668771 | + | 0.743468i | \(0.266821\pi\) | |||||||
\(138\) | −1.55891 | − | 2.60276i | −0.132703 | − | 0.221561i | ||||
\(139\) | −10.2971 | − | 14.1727i | −0.873386 | − | 1.20211i | −0.978209 | − | 0.207622i | \(-0.933428\pi\) |
0.104823 | − | 0.994491i | \(-0.466572\pi\) | |||||||
\(140\) | −16.5787 | + | 1.78493i | −1.40115 | + | 0.150854i | ||||
\(141\) | −3.13670 | + | 1.53901i | −0.264158 | + | 0.129608i | ||||
\(142\) | 6.94844 | − | 2.91864i | 0.583100 | − | 0.244927i | ||||
\(143\) | 11.5267 | 0.963909 | ||||||||
\(144\) | 3.82601 | − | 11.3737i | 0.318834 | − | 0.947810i | ||||
\(145\) | 6.39602 | + | 0.382681i | 0.531161 | + | 0.0317800i | ||||
\(146\) | 9.57736 | + | 2.24908i | 0.792628 | + | 0.186135i | ||||
\(147\) | −8.32446 | − | 8.57976i | −0.686590 | − | 0.707646i | ||||
\(148\) | 5.13643 | − | 5.23947i | 0.422212 | − | 0.430682i | ||||
\(149\) | − | 0.975207i | − | 0.0798921i | −0.999202 | − | 0.0399460i | \(-0.987281\pi\) | ||
0.999202 | − | 0.0399460i | \(-0.0127186\pi\) | |||||||
\(150\) | −4.99540 | − | 11.1824i | −0.407873 | − | 0.913039i | ||||
\(151\) | 17.7976i | 1.44835i | 0.689618 | + | 0.724173i | \(0.257778\pi\) | ||||
−0.689618 | + | 0.724173i | \(0.742222\pi\) | |||||||
\(152\) | 5.73691 | − | 6.92330i | 0.465325 | − | 0.561553i | ||||
\(153\) | −1.67063 | − | 5.72442i | −0.135063 | − | 0.462792i | ||||
\(154\) | −4.25122 | + | 18.1031i | −0.342573 | + | 1.45879i | ||||
\(155\) | 18.3304 | − | 11.7120i | 1.47234 | − | 0.940729i | ||||
\(156\) | 11.3222 | + | 0.0585373i | 0.906501 | + | 0.00468673i | ||||
\(157\) | −4.81242 | −0.384073 | −0.192036 | − | 0.981388i | \(-0.561509\pi\) | ||||
−0.192036 | + | 0.981388i | \(0.561509\pi\) | |||||||
\(158\) | 5.52874 | + | 13.1623i | 0.439843 | + | 1.04714i | ||||
\(159\) | 3.22415 | + | 6.57122i | 0.255692 | + | 0.521132i | ||||
\(160\) | 7.87401 | + | 9.89950i | 0.622495 | + | 0.782624i | ||||
\(161\) | 2.71444 | + | 3.73611i | 0.213928 | + | 0.294447i | ||||
\(162\) | 7.71713 | + | 10.1216i | 0.606315 | + | 0.795224i | ||||
\(163\) | −5.99998 | + | 8.25827i | −0.469955 | + | 0.646837i | −0.976536 | − | 0.215355i | \(-0.930909\pi\) |
0.506581 | + | 0.862192i | \(0.330909\pi\) | |||||||
\(164\) | 17.4674 | + | 17.1239i | 1.36397 | + | 1.33715i | ||||
\(165\) | −13.6124 | + | 1.12172i | −1.05972 | + | 0.0873257i | ||||
\(166\) | −11.0366 | + | 18.2126i | −0.856610 | + | 1.41357i | ||||
\(167\) | −0.965785 | − | 2.97238i | −0.0747347 | − | 0.230010i | 0.906710 | − | 0.421754i | \(-0.138585\pi\) |
−0.981445 | + | 0.191745i | \(0.938585\pi\) | |||||||
\(168\) | −4.26774 | + | 17.7604i | −0.329263 | + | 1.37025i | ||||
\(169\) | −0.716006 | − | 2.20364i | −0.0550774 | − | 0.169511i | ||||
\(170\) | 6.02258 | + | 1.79993i | 0.461911 | + | 0.138048i | ||||
\(171\) | 2.67178 | + | 9.15485i | 0.204316 | + | 0.700089i | ||||
\(172\) | 10.0565 | + | 1.49057i | 0.766799 | + | 0.113655i | ||||
\(173\) | −4.83491 | − | 6.65468i | −0.367591 | − | 0.505946i | 0.584653 | − | 0.811283i | \(-0.301231\pi\) |
−0.952244 | + | 0.305338i | \(0.901231\pi\) | |||||||
\(174\) | 2.75165 | − | 6.45717i | 0.208602 | − | 0.489517i | ||||
\(175\) | 9.08136 | + | 16.2812i | 0.686486 | + | 1.23074i | ||||
\(176\) | 13.3268 | − | 4.62474i | 1.00455 | − | 0.348603i | ||||
\(177\) | 0.765343 | + | 5.35429i | 0.0575267 | + | 0.402453i | ||||
\(178\) | 1.02706 | − | 4.37358i | 0.0769815 | − | 0.327814i | ||||
\(179\) | −2.04563 | + | 6.29581i | −0.152898 | + | 0.470571i | −0.997942 | − | 0.0641256i | \(-0.979574\pi\) |
0.845044 | + | 0.534697i | \(0.179574\pi\) | |||||||
\(180\) | −13.3766 | + | 1.03269i | −0.997033 | + | 0.0769722i | ||||
\(181\) | 3.15883 | + | 9.72189i | 0.234794 | + | 0.722623i | 0.997149 | + | 0.0754627i | \(0.0240434\pi\) |
−0.762354 | + | 0.647160i | \(0.775957\pi\) | |||||||
\(182\) | −17.1744 | + | 1.43750i | −1.27305 | + | 0.106555i | ||||
\(183\) | 16.1537 | + | 2.80917i | 1.19411 | + | 0.207660i | ||||
\(184\) | 1.29227 | − | 3.25618i | 0.0952675 | − | 0.240049i | ||||
\(185\) | −7.63645 | − | 2.99638i | −0.561443 | − | 0.220298i | ||||
\(186\) | −5.32759 | − | 23.2256i | −0.390638 | − | 1.70298i | ||||
\(187\) | 4.12038 | − | 5.67121i | 0.301312 | − | 0.414720i | ||||
\(188\) | −3.61271 | − | 1.79580i | −0.263484 | − | 0.130972i | ||||
\(189\) | −13.0650 | − | 14.3058i | −0.950339 | − | 1.04060i | ||||
\(190\) | −9.63168 | − | 2.87856i | −0.698755 | − | 0.208832i | ||||
\(191\) | 6.72260 | + | 4.88425i | 0.486430 | + | 0.353412i | 0.803810 | − | 0.594886i | \(-0.202803\pi\) |
−0.317380 | + | 0.948299i | \(0.602803\pi\) | |||||||
\(192\) | 13.1139 | − | 4.47501i | 0.946414 | − | 0.322956i | ||||
\(193\) | −22.5549 | −1.62354 | −0.811768 | − | 0.583981i | \(-0.801494\pi\) | ||||
−0.811768 | + | 0.583981i | \(0.801494\pi\) | |||||||
\(194\) | −3.18158 | + | 1.33640i | −0.228424 | + | 0.0959479i | ||||
\(195\) | −4.88729 | − | 11.6773i | −0.349986 | − | 0.836227i | ||||
\(196\) | 2.02389 | − | 13.6546i | 0.144563 | − | 0.975331i | ||||
\(197\) | 14.3446 | + | 4.66083i | 1.02201 | + | 0.332070i | 0.771626 | − | 0.636077i | \(-0.219444\pi\) |
0.250382 | + | 0.968147i | \(0.419444\pi\) | |||||||
\(198\) | −3.85886 | + | 14.4560i | −0.274238 | + | 1.02734i | ||||
\(199\) | 2.42902i | 0.172189i | 0.996287 | + | 0.0860944i | \(0.0274387\pi\) | ||||
−0.996287 | + | 0.0860944i | \(0.972561\pi\) | |||||||
\(200\) | 6.74684 | − | 12.4290i | 0.477074 | − | 0.878863i | ||||
\(201\) | −22.1835 | − | 11.7283i | −1.56470 | − | 0.827253i | ||||
\(202\) | 11.6329 | − | 10.0358i | 0.818491 | − | 0.706117i | ||||
\(203\) | −3.30157 | + | 10.1612i | −0.231725 | + | 0.713176i | ||||
\(204\) | 4.07608 | − | 5.54968i | 0.285383 | − | 0.388555i | ||||
\(205\) | 9.98936 | − | 25.4585i | 0.697687 | − | 1.77810i | ||||
\(206\) | −6.80301 | − | 16.1960i | −0.473988 | − | 1.12843i | ||||
\(207\) | 2.09229 | + | 3.07069i | 0.145424 | + | 0.213428i | ||||
\(208\) | 7.89321 | + | 10.4223i | 0.547296 | + | 0.722657i | ||||
\(209\) | −6.58956 | + | 9.06975i | −0.455809 | + | 0.627368i | ||||
\(210\) | 20.1422 | − | 3.36894i | 1.38994 | − | 0.232479i | ||||
\(211\) | −12.6279 | − | 17.3808i | −0.869338 | − | 1.19654i | −0.979261 | − | 0.202601i | \(-0.935061\pi\) |
0.109923 | − | 0.993940i | \(-0.464939\pi\) | |||||||
\(212\) | −3.76211 | + | 7.56844i | −0.258383 | + | 0.519803i | ||||
\(213\) | −8.28662 | + | 4.06581i | −0.567790 | + | 0.278585i | ||||
\(214\) | 3.75469 | + | 4.35222i | 0.256665 | + | 0.297512i | ||||
\(215\) | −2.86049 | − | 11.0005i | −0.195084 | − | 0.750227i | ||||
\(216\) | −3.86382 | + | 14.1799i | −0.262900 | + | 0.964823i | ||||
\(217\) | 11.2084 | + | 34.4961i | 0.760879 | + | 2.34174i | ||||
\(218\) | −0.854655 | − | 10.2109i | −0.0578845 | − | 0.691571i | ||||
\(219\) | −11.8707 | − | 2.06436i | −0.802151 | − | 0.139496i | ||||
\(220\) | −10.5828 | − | 11.6938i | −0.713495 | − | 0.788394i | ||||
\(221\) | 6.17891 | + | 2.00765i | 0.415639 | + | 0.135049i | ||||
\(222\) | −5.90505 | + | 6.77368i | −0.396321 | + | 0.454620i | ||||
\(223\) | 7.58971 | + | 10.4463i | 0.508245 | + | 0.699539i | 0.983622 | − | 0.180243i | \(-0.0576885\pi\) |
−0.475377 | + | 0.879782i | \(0.657688\pi\) | |||||||
\(224\) | −19.2798 | + | 8.55272i | −1.28819 | + | 0.571453i | ||||
\(225\) | 6.90800 | + | 13.3146i | 0.460534 | + | 0.887642i | ||||
\(226\) | −17.9700 | + | 1.50409i | −1.19535 | + | 0.100051i | ||||
\(227\) | −16.2638 | + | 11.8164i | −1.07947 | + | 0.784280i | −0.977590 | − | 0.210517i | \(-0.932485\pi\) |
−0.101878 | + | 0.994797i | \(0.532485\pi\) | |||||||
\(228\) | −6.51872 | + | 8.87539i | −0.431713 | + | 0.587787i | ||||
\(229\) | 6.62251 | − | 20.3820i | 0.437628 | − | 1.34688i | −0.452742 | − | 0.891641i | \(-0.649554\pi\) |
0.890370 | − | 0.455238i | \(-0.150446\pi\) | |||||||
\(230\) | −3.91564 | + | 0.0929963i | −0.258190 | + | 0.00613200i | ||||
\(231\) | 3.90205 | − | 22.4381i | 0.256736 | − | 1.47632i | ||||
\(232\) | 7.85187 | − | 2.00923i | 0.515501 | − | 0.131912i | ||||
\(233\) | 12.6284 | − | 4.10322i | 0.827315 | − | 0.268811i | 0.135401 | − | 0.990791i | \(-0.456768\pi\) |
0.691914 | + | 0.721980i | \(0.256768\pi\) | |||||||
\(234\) | −13.8473 | + | 0.738800i | −0.905226 | + | 0.0482969i | ||||
\(235\) | −0.269394 | + | 4.50257i | −0.0175733 | + | 0.293715i | ||||
\(236\) | −4.37212 | + | 4.45984i | −0.284601 | + | 0.290311i | ||||
\(237\) | −7.70179 | − | 15.6972i | −0.500285 | − | 1.01964i | ||||
\(238\) | −5.43198 | + | 8.96380i | −0.352103 | + | 0.581037i | ||||
\(239\) | −14.7591 | + | 10.7231i | −0.954690 | + | 0.693623i | −0.951911 | − | 0.306373i | \(-0.900884\pi\) |
−0.00277843 | + | 0.999996i | \(0.500884\pi\) | |||||||
\(240\) | −10.3357 | − | 11.5401i | −0.667167 | − | 0.744908i | ||||
\(241\) | 2.25312 | + | 1.63699i | 0.145136 | + | 0.105448i | 0.657984 | − | 0.753032i | \(-0.271409\pi\) |
−0.512848 | + | 0.858480i | \(0.671409\pi\) | |||||||
\(242\) | −1.87369 | + | 0.787029i | −0.120445 | + | 0.0505921i | ||||
\(243\) | −10.1598 | − | 11.8228i | −0.651752 | − | 0.758432i | ||||
\(244\) | 8.76233 | + | 16.7829i | 0.560950 | + | 1.07441i | ||||
\(245\) | −14.9364 | + | 3.88397i | −0.954252 | + | 0.248137i | ||||
\(246\) | −22.5822 | − | 19.6863i | −1.43979 | − | 1.25515i | ||||
\(247\) | −9.88170 | − | 3.21076i | −0.628757 | − | 0.204296i | ||||
\(248\) | 17.5560 | − | 21.1865i | 1.11481 | − | 1.34534i | ||||
\(249\) | 12.1904 | − | 23.0575i | 0.772537 | − | 1.46121i | ||||
\(250\) | −15.7389 | − | 1.51201i | −0.995417 | − | 0.0956279i | ||||
\(251\) | −11.1014 | −0.700715 | −0.350358 | − | 0.936616i | \(-0.613940\pi\) | ||||
−0.350358 | + | 0.936616i | \(0.613940\pi\) | |||||||
\(252\) | 3.94678 | − | 22.0203i | 0.248624 | − | 1.38715i | ||||
\(253\) | −1.34979 | + | 4.15422i | −0.0848605 | + | 0.261174i | ||||
\(254\) | −0.820096 | + | 3.49225i | −0.0514574 | + | 0.219123i | ||||
\(255\) | −7.49234 | − | 1.76963i | −0.469189 | − | 0.110818i | ||||
\(256\) | 13.3076 | + | 8.88307i | 0.831722 | + | 0.555192i | ||||
\(257\) | 20.4641i | 1.27652i | 0.769823 | + | 0.638258i | \(0.220345\pi\) | ||||
−0.769823 | + | 0.638258i | \(0.779655\pi\) | |||||||
\(258\) | −12.4022 | − | 1.10267i | −0.772130 | − | 0.0686491i | ||||
\(259\) | 8.04004 | − | 11.0662i | 0.499584 | − | 0.687618i | ||||
\(260\) | 7.27648 | − | 12.6772i | 0.451268 | − | 0.786208i | ||||
\(261\) | −2.90215 | + | 8.09182i | −0.179638 | + | 0.500871i | ||||
\(262\) | −10.4318 | + | 17.2144i | −0.644478 | + | 1.06351i | ||||
\(263\) | 5.35509 | + | 3.89070i | 0.330209 | + | 0.239911i | 0.740519 | − | 0.672035i | \(-0.234580\pi\) |
−0.410310 | + | 0.911946i | \(0.634580\pi\) | |||||||
\(264\) | −15.9631 | + | 6.60829i | −0.982458 | + | 0.406712i | ||||
\(265\) | 9.43266 | + | 0.564366i | 0.579443 | + | 0.0346688i | ||||
\(266\) | 8.68716 | − | 14.3355i | 0.532644 | − | 0.878963i | ||||
\(267\) | −0.942706 | + | 5.42088i | −0.0576927 | + | 0.331752i | ||||
\(268\) | −4.81667 | − | 28.5718i | −0.294225 | − | 1.74530i | ||||
\(269\) | −10.0302 | + | 3.25901i | −0.611553 | + | 0.198706i | −0.598386 | − | 0.801208i | \(-0.704191\pi\) |
−0.0131667 | + | 0.999913i | \(0.504191\pi\) | |||||||
\(270\) | 16.2810 | − | 2.22003i | 0.990831 | − | 0.135107i | ||||
\(271\) | −13.0599 | − | 4.24343i | −0.793335 | − | 0.257770i | −0.115811 | − | 0.993271i | \(-0.536947\pi\) |
−0.677523 | + | 0.735501i | \(0.736947\pi\) | |||||||
\(272\) | 7.94940 | − | 0.157915i | 0.482003 | − | 0.00957499i | ||||
\(273\) | 20.8954 | − | 2.98680i | 1.26465 | − | 0.180769i | ||||
\(274\) | 6.87472 | − | 0.575414i | 0.415317 | − | 0.0347621i | ||||
\(275\) | −7.40964 | + | 16.0007i | −0.446818 | + | 0.964880i | ||||
\(276\) | −1.34694 | + | 4.07367i | −0.0810763 | + | 0.245206i | ||||
\(277\) | −2.80357 | + | 2.03691i | −0.168450 | + | 0.122386i | −0.668816 | − | 0.743428i | \(-0.733199\pi\) |
0.500366 | + | 0.865814i | \(0.333199\pi\) | |||||||
\(278\) | −5.66387 | + | 24.1187i | −0.339696 | + | 1.44654i | ||||
\(279\) | 8.17612 | + | 28.0155i | 0.489491 | + | 1.67724i | ||||
\(280\) | 17.2265 | + | 16.1036i | 1.02948 | + | 0.962373i | ||||
\(281\) | 11.6216 | − | 3.77609i | 0.693286 | − | 0.225262i | 0.0588833 | − | 0.998265i | \(-0.481246\pi\) |
0.634403 | + | 0.773003i | \(0.281246\pi\) | |||||||
\(282\) | 4.54562 | + | 1.93706i | 0.270688 | + | 0.115351i | ||||
\(283\) | 18.0203 | − | 5.85515i | 1.07120 | − | 0.348053i | 0.280243 | − | 0.959929i | \(-0.409585\pi\) |
0.790953 | + | 0.611876i | \(0.209585\pi\) | |||||||
\(284\) | −9.54417 | − | 4.74420i | −0.566342 | − | 0.281517i | ||||
\(285\) | 11.9822 | + | 2.83010i | 0.709765 | + | 0.167640i | ||||
\(286\) | −10.6482 | − | 12.3428i | −0.629641 | − | 0.729845i | ||||
\(287\) | 36.8925 | + | 26.8039i | 2.17769 | + | 1.58219i | ||||
\(288\) | −15.7134 | + | 6.40999i | −0.925923 | + | 0.377712i | ||||
\(289\) | −10.5568 | + | 7.66994i | −0.620986 | + | 0.451173i | ||||
\(290\) | −5.49879 | − | 7.20239i | −0.322900 | − | 0.422939i | ||||
\(291\) | 3.79431 | − | 1.86167i | 0.222426 | − | 0.109133i | ||||
\(292\) | −6.43911 | − | 12.3331i | −0.376821 | − | 0.721742i | ||||
\(293\) | − | 3.61826i | − | 0.211381i | −0.994399 | − | 0.105690i | \(-0.966295\pi\) | ||
0.994399 | − | 0.105690i | \(-0.0337053\pi\) | |||||||
\(294\) | −1.49720 | + | 16.8397i | −0.0873183 | + | 0.982112i | ||||
\(295\) | 6.50014 | + | 2.55052i | 0.378453 | + | 0.148497i | ||||
\(296\) | −10.3554 | − | 0.659941i | −0.601896 | − | 0.0383583i | ||||
\(297\) | 3.68338 | − | 17.9508i | 0.213731 | − | 1.04161i | ||||
\(298\) | −1.04425 | + | 0.900883i | −0.0604920 | + | 0.0521868i | ||||
\(299\) | −4.04828 | −0.234118 | ||||||||
\(300\) | −7.35945 | + | 15.6792i | −0.424898 | + | 0.905241i | ||||
\(301\) | 18.9527 | 1.09242 | ||||||||
\(302\) | 19.0577 | − | 16.4412i | 1.09665 | − | 0.946083i | ||||
\(303\) | −13.5047 | + | 13.1029i | −0.775827 | + | 0.752742i | ||||
\(304\) | −12.7132 | + | 0.252547i | −0.729150 | + | 0.0144846i | ||||
\(305\) | 13.4424 | − | 16.3511i | 0.769708 | − | 0.936259i | ||||
\(306\) | −4.58642 | + | 7.07707i | −0.262188 | + | 0.404569i | ||||
\(307\) | − | 9.93345i | − | 0.566932i | −0.958982 | − | 0.283466i | \(-0.908516\pi\) | ||
0.958982 | − | 0.283466i | \(-0.0914843\pi\) | |||||||
\(308\) | 23.3121 | − | 12.1712i | 1.32833 | − | 0.693520i | ||||
\(309\) | 9.47692 | + | 19.3151i | 0.539123 | + | 1.09880i | ||||
\(310\) | −29.4746 | − | 8.80889i | −1.67405 | − | 0.500311i | ||||
\(311\) | 15.5100 | − | 11.2687i | 0.879494 | − | 0.638990i | −0.0536238 | − | 0.998561i | \(-0.517077\pi\) |
0.933117 | + | 0.359572i | \(0.117077\pi\) | |||||||
\(312\) | −10.3966 | − | 12.1779i | −0.588592 | − | 0.689438i | ||||
\(313\) | 9.58416 | + | 6.96330i | 0.541729 | + | 0.393589i | 0.824727 | − | 0.565532i | \(-0.191329\pi\) |
−0.282998 | + | 0.959120i | \(0.591329\pi\) | |||||||
\(314\) | 4.44565 | + | 5.15315i | 0.250883 | + | 0.290809i | ||||
\(315\) | −24.3857 | + | 5.56069i | −1.37398 | + | 0.313309i | ||||
\(316\) | 8.98686 | − | 18.0794i | 0.505550 | − | 1.01704i | ||||
\(317\) | −17.6980 | + | 5.75042i | −0.994017 | + | 0.322976i | −0.760472 | − | 0.649370i | \(-0.775033\pi\) |
−0.233545 | + | 0.972346i | \(0.575033\pi\) | |||||||
\(318\) | 4.05805 | − | 9.52284i | 0.227564 | − | 0.534014i | ||||
\(319\) | −9.61093 | + | 3.12278i | −0.538109 | + | 0.174842i | ||||
\(320\) | 3.32650 | − | 17.5765i | 0.185957 | − | 0.982558i | ||||
\(321\) | −4.90218 | − | 5.05252i | −0.273613 | − | 0.282004i | ||||
\(322\) | 1.49307 | − | 6.35800i | 0.0832056 | − | 0.354318i | ||||
\(323\) | −5.11207 | + | 3.71414i | −0.284443 | + | 0.206660i | ||||
\(324\) | 3.70920 | − | 17.6137i | 0.206067 | − | 0.978538i | ||||
\(325\) | −16.2258 | − | 1.94859i | −0.900046 | − | 0.108088i | ||||
\(326\) | 14.3857 | − | 1.20408i | 0.796749 | − | 0.0666879i | ||||
\(327\) | 1.77578 | + | 12.4232i | 0.0982008 | + | 0.687007i | ||||
\(328\) | 2.20012 | − | 34.5229i | 0.121481 | − | 1.90621i | ||||
\(329\) | −7.15311 | − | 2.32419i | −0.394364 | − | 0.128137i | ||||
\(330\) | 13.7761 | + | 13.5400i | 0.758349 | + | 0.745350i | ||||
\(331\) | 12.9742 | − | 4.21557i | 0.713125 | − | 0.231709i | 0.0700853 | − | 0.997541i | \(-0.477673\pi\) |
0.643040 | + | 0.765832i | \(0.277673\pi\) | |||||||
\(332\) | 29.6976 | − | 5.00645i | 1.62986 | − | 0.274764i | ||||
\(333\) | 6.73500 | − | 8.70450i | 0.369076 | − | 0.477004i | ||||
\(334\) | −2.29065 | + | 3.78001i | −0.125339 | + | 0.206833i | ||||
\(335\) | −27.2986 | + | 17.4421i | −1.49148 | + | 0.952961i | ||||
\(336\) | 22.9604 | − | 11.8369i | 1.25259 | − | 0.645757i | ||||
\(337\) | 8.98416 | + | 6.52737i | 0.489398 | + | 0.355569i | 0.804953 | − | 0.593339i | \(-0.202191\pi\) |
−0.315555 | + | 0.948907i | \(0.602191\pi\) | |||||||
\(338\) | −1.69823 | + | 2.80239i | −0.0923713 | + | 0.152430i | ||||
\(339\) | 21.8634 | − | 3.12516i | 1.18746 | − | 0.169736i | ||||
\(340\) | −3.63621 | − | 8.11174i | −0.197201 | − | 0.439921i | ||||
\(341\) | −20.1652 | + | 27.7550i | −1.09201 | + | 1.50302i | ||||
\(342\) | 7.33488 | − | 11.3181i | 0.396625 | − | 0.612012i | ||||
\(343\) | 0.365751i | 0.0197487i | ||||||||
\(344\) | −7.69393 | − | 12.1455i | −0.414829 | − | 0.654840i | ||||
\(345\) | 4.78081 | − | 0.393959i | 0.257390 | − | 0.0212100i | ||||
\(346\) | −2.65942 | + | 11.3247i | −0.142971 | + | 0.608821i | ||||
\(347\) | 9.64726 | − | 29.6912i | 0.517892 | − | 1.59391i | −0.260065 | − | 0.965591i | \(-0.583744\pi\) |
0.777957 | − | 0.628317i | \(-0.216256\pi\) | |||||||
\(348\) | −9.45630 | + | 3.01858i | −0.506911 | + | 0.161813i | ||||
\(349\) | −29.9971 | −1.60571 | −0.802854 | − | 0.596176i | \(-0.796686\pi\) | ||||
−0.802854 | + | 0.596176i | \(0.796686\pi\) | |||||||
\(350\) | 9.04468 | − | 24.7647i | 0.483459 | − | 1.32373i | ||||
\(351\) | 16.8775 | − | 1.89440i | 0.900856 | − | 0.101115i | ||||
\(352\) | −17.2633 | − | 9.99813i | −0.920138 | − | 0.532902i | ||||
\(353\) | −11.6343 | − | 3.78021i | −0.619231 | − | 0.201200i | −0.0174322 | − | 0.999848i | \(-0.505549\pi\) |
−0.601799 | + | 0.798648i | \(0.705549\pi\) | |||||||
\(354\) | 5.02638 | − | 5.76576i | 0.267149 | − | 0.306446i | ||||
\(355\) | −0.711693 | + | 11.8950i | −0.0377728 | + | 0.631323i | ||||
\(356\) | −5.63203 | + | 2.94048i | −0.298497 | + | 0.155845i | ||||
\(357\) | 5.99985 | − | 11.3484i | 0.317546 | − | 0.600620i | ||||
\(358\) | 8.63130 | − | 3.62552i | 0.456179 | − | 0.191615i | ||||
\(359\) | −18.1287 | − | 13.1713i | −0.956796 | − | 0.695153i | −0.00439181 | − | 0.999990i | \(-0.501398\pi\) |
−0.952404 | + | 0.304837i | \(0.901398\pi\) | |||||||
\(360\) | 13.4629 | + | 13.3697i | 0.709559 | + | 0.704646i | ||||
\(361\) | −7.19578 | + | 5.22804i | −0.378725 | + | 0.275160i | ||||
\(362\) | 7.49214 | − | 12.3634i | 0.393778 | − | 0.649808i | ||||
\(363\) | 2.23453 | − | 1.09637i | 0.117283 | − | 0.0575444i | ||||
\(364\) | 17.4048 | + | 17.0625i | 0.912258 | + | 0.894316i | ||||
\(365\) | −9.87831 | + | 12.0158i | −0.517055 | + | 0.628935i | ||||
\(366\) | −11.9145 | − | 19.8925i | −0.622780 | − | 1.03980i | ||||
\(367\) | 3.66107 | − | 1.18955i | 0.191106 | − | 0.0620941i | −0.211900 | − | 0.977291i | \(-0.567965\pi\) |
0.403006 | + | 0.915197i | \(0.367965\pi\) | |||||||
\(368\) | −4.68051 | + | 1.62425i | −0.243989 | + | 0.0846700i | ||||
\(369\) | 29.0191 | + | 22.4532i | 1.51068 | + | 1.16887i | ||||
\(370\) | 3.84592 | + | 10.9451i | 0.199940 | + | 0.569011i | ||||
\(371\) | −4.86905 | + | 14.9854i | −0.252789 | + | 0.778003i | ||||
\(372\) | −19.9484 | + | 27.1603i | −1.03428 | + | 1.40819i | ||||
\(373\) | −2.92021 | + | 2.12166i | −0.151203 | + | 0.109855i | −0.660815 | − | 0.750549i | \(-0.729789\pi\) |
0.509612 | + | 0.860405i | \(0.329789\pi\) | |||||||
\(374\) | −9.87910 | + | 0.826881i | −0.510836 | + | 0.0427570i | ||||
\(375\) | 19.3514 | + | 0.722170i | 0.999304 | + | 0.0372927i | ||||
\(376\) | 1.41443 | + | 5.52744i | 0.0729435 | + | 0.285056i | ||||
\(377\) | −5.50510 | − | 7.57712i | −0.283527 | − | 0.390242i | ||||
\(378\) | −3.24947 | + | 27.2056i | −0.167135 | + | 1.39930i | ||||
\(379\) | 18.4435 | + | 5.99265i | 0.947377 | + | 0.307822i | 0.741649 | − | 0.670788i | \(-0.234044\pi\) |
0.205728 | + | 0.978609i | \(0.434044\pi\) | |||||||
\(380\) | 5.81525 | + | 12.9728i | 0.298316 | + | 0.665490i | ||||
\(381\) | 0.752738 | − | 4.32850i | 0.0385640 | − | 0.221756i | ||||
\(382\) | −0.980177 | − | 11.7106i | −0.0501502 | − | 0.599166i | ||||
\(383\) | 2.00882 | + | 6.18251i | 0.102646 | + | 0.315912i | 0.989171 | − | 0.146769i | \(-0.0468875\pi\) |
−0.886525 | + | 0.462681i | \(0.846888\pi\) | |||||||
\(384\) | −16.9063 | − | 9.90843i | −0.862746 | − | 0.505638i | ||||
\(385\) | −22.7123 | − | 18.6720i | −1.15753 | − | 0.951614i | ||||
\(386\) | 20.8359 | + | 24.1518i | 1.06052 | + | 1.22929i | ||||
\(387\) | 15.2426 | + | 0.460504i | 0.774823 | + | 0.0234087i | ||||
\(388\) | 4.37012 | + | 2.17229i | 0.221859 | + | 0.110281i | ||||
\(389\) | 15.1483 | + | 20.8499i | 0.768050 | + | 1.05713i | 0.996502 | + | 0.0835748i | \(0.0266337\pi\) |
−0.228452 | + | 0.973555i | \(0.573366\pi\) | |||||||
\(390\) | −7.98924 | + | 16.0206i | −0.404551 | + | 0.811236i | ||||
\(391\) | −1.44712 | + | 1.99179i | −0.0731839 | + | 0.100729i | ||||
\(392\) | −16.4911 | + | 10.4468i | −0.832924 | + | 0.527642i | ||||
\(393\) | 11.5223 | − | 21.7939i | 0.581225 | − | 1.09936i | ||||
\(394\) | −8.26049 | − | 19.6658i | −0.416157 | − | 0.990749i | ||||
\(395\) | −22.5325 | − | 1.34815i | −1.13374 | − | 0.0678327i | ||||
\(396\) | 19.0443 | − | 9.22217i | 0.957011 | − | 0.463432i | ||||
\(397\) | 0.244560 | − | 0.752678i | 0.0122741 | − | 0.0377758i | −0.944732 | − | 0.327844i | \(-0.893678\pi\) |
0.957006 | + | 0.290068i | \(0.0936780\pi\) | |||||||
\(398\) | 2.60100 | − | 2.24390i | 0.130377 | − | 0.112477i | ||||
\(399\) | −9.59533 | + | 18.1490i | −0.480367 | + | 0.908589i | ||||
\(400\) | −19.5417 | + | 4.25721i | −0.977083 | + | 0.212861i | ||||
\(401\) | 0.428760i | 0.0214112i | 0.999943 | + | 0.0107056i | \(0.00340777\pi\) | ||||
−0.999943 | + | 0.0107056i | \(0.996592\pi\) | |||||||
\(402\) | 7.93410 | + | 34.5886i | 0.395717 | + | 1.72512i | ||||
\(403\) | −30.2397 | − | 9.82549i | −1.50635 | − | 0.489442i | ||||
\(404\) | −21.4927 | − | 3.18565i | −1.06930 | − | 0.158492i | ||||
\(405\) | −19.7471 | + | 3.87962i | −0.981242 | + | 0.192780i | ||||
\(406\) | 13.9306 | − | 5.85144i | 0.691363 | − | 0.290402i | ||||
\(407\) | 12.9378 | 0.641303 | ||||||||
\(408\) | −9.70804 | + | 0.762042i | −0.480620 | + | 0.0377267i | ||||
\(409\) | −1.76803 | − | 1.28455i | −0.0874236 | − | 0.0635169i | 0.543215 | − | 0.839594i | \(-0.317207\pi\) |
−0.630638 | + | 0.776077i | \(0.717207\pi\) | |||||||
\(410\) | −36.4890 | + | 12.8216i | −1.80206 | + | 0.633212i | ||||
\(411\) | −8.36420 | + | 1.19558i | −0.412576 | + | 0.0589736i | ||||
\(412\) | −11.0582 | + | 22.2463i | −0.544797 | + | 1.09600i | ||||
\(413\) | −6.84367 | + | 9.41951i | −0.336755 | + | 0.463504i | ||||
\(414\) | 1.35527 | − | 5.07709i | 0.0666080 | − | 0.249525i | ||||
\(415\) | −18.1293 | − | 28.3741i | −0.889931 | − | 1.39283i | ||||
\(416\) | 3.86859 | − | 18.0801i | 0.189673 | − | 0.886448i | ||||
\(417\) | 5.19867 | − | 29.8941i | 0.254580 | − | 1.46392i | ||||
\(418\) | 15.7993 | − | 1.32240i | 0.772767 | − | 0.0646807i | ||||
\(419\) | 9.76274 | + | 30.0466i | 0.476941 | + | 1.46787i | 0.843322 | + | 0.537409i | \(0.180597\pi\) |
−0.366381 | + | 0.930465i | \(0.619403\pi\) | |||||||
\(420\) | −22.2145 | − | 18.4561i | −1.08396 | − | 0.900566i | ||||
\(421\) | 9.48522 | − | 29.1925i | 0.462281 | − | 1.42276i | −0.400088 | − | 0.916477i | \(-0.631020\pi\) |
0.862370 | − | 0.506279i | \(-0.168980\pi\) | |||||||
\(422\) | −6.94591 | + | 29.5781i | −0.338122 | + | 1.43984i | ||||
\(423\) | −5.69635 | − | 2.04301i | −0.276966 | − | 0.0993345i | ||||
\(424\) | 11.5797 | − | 2.96315i | 0.562360 | − | 0.143903i | ||||
\(425\) | −6.75887 | + | 7.28667i | −0.327854 | + | 0.353455i | ||||
\(426\) | 12.0088 | + | 5.11740i | 0.581826 | + | 0.247939i | ||||
\(427\) | 20.7461 | + | 28.5545i | 1.00397 | + | 1.38185i | ||||
\(428\) | 1.19184 | − | 8.04105i | 0.0576099 | − | 0.388679i | ||||
\(429\) | 13.9024 | + | 14.3288i | 0.671216 | + | 0.691801i | ||||
\(430\) | −9.13686 | + | 13.2251i | −0.440618 | + | 0.637772i | ||||
\(431\) | −7.88093 | − | 24.2550i | −0.379611 | − | 1.16832i | −0.940315 | − | 0.340306i | \(-0.889469\pi\) |
0.560703 | − | 0.828017i | \(-0.310531\pi\) | |||||||
\(432\) | 18.7533 | − | 8.96186i | 0.902267 | − | 0.431178i | ||||
\(433\) | 0.154154 | + | 0.474436i | 0.00740816 | + | 0.0228000i | 0.954692 | − | 0.297595i | \(-0.0961844\pi\) |
−0.947284 | + | 0.320395i | \(0.896184\pi\) | |||||||
\(434\) | 26.5842 | − | 43.8690i | 1.27608 | − | 2.10578i | ||||
\(435\) | 7.23860 | + | 8.41245i | 0.347064 | + | 0.403346i | ||||
\(436\) | −10.1444 | + | 10.3479i | −0.485827 | + | 0.495574i | ||||
\(437\) | 2.31432 | − | 3.18539i | 0.110709 | − | 0.152378i | ||||
\(438\) | 8.75552 | + | 14.6183i | 0.418355 | + | 0.698487i | ||||
\(439\) | 22.1168 | + | 30.4412i | 1.05558 | + | 1.45288i | 0.883872 | + | 0.467729i | \(0.154928\pi\) |
0.171705 | + | 0.985148i | \(0.445072\pi\) | |||||||
\(440\) | −2.74543 | + | 22.1347i | −0.130883 | + | 1.05523i | ||||
\(441\) | 0.625270 | − | 20.6963i | 0.0297748 | − | 0.985537i | ||||
\(442\) | −3.55820 | − | 8.47103i | −0.169246 | − | 0.402926i | ||||
\(443\) | 0.491915 | 0.0233716 | 0.0116858 | − | 0.999932i | \(-0.496280\pi\) | ||||
0.0116858 | + | 0.999932i | \(0.496280\pi\) | |||||||
\(444\) | 12.7083 | + | 0.0657036i | 0.603109 | + | 0.00311815i | ||||
\(445\) | 5.48711 | + | 4.51101i | 0.260114 | + | 0.213843i | ||||
\(446\) | 4.17469 | − | 17.7773i | 0.197677 | − | 0.841778i | ||||
\(447\) | 1.21228 | − | 1.17621i | 0.0573389 | − | 0.0556327i | ||||
\(448\) | 26.9687 | + | 12.7440i | 1.27415 | + | 0.602098i | ||||
\(449\) | 10.9779i | 0.518081i | 0.965866 | + | 0.259040i | \(0.0834063\pi\) | ||||
−0.965866 | + | 0.259040i | \(0.916594\pi\) | |||||||
\(450\) | 7.87582 | − | 19.6970i | 0.371270 | − | 0.928525i | ||||
\(451\) | 43.1322i | 2.03101i | ||||||||
\(452\) | 18.2111 | + | 17.8529i | 0.856577 | + | 0.839730i | ||||
\(453\) | −22.1242 | + | 21.4659i | −1.03948 | + | 1.00855i | ||||
\(454\) | 27.6773 | + | 6.49955i | 1.29896 | + | 0.305039i | ||||
\(455\) | 9.95355 | − | 25.3672i | 0.466629 | − | 1.18923i | ||||
\(456\) | 15.5257 | − | 1.21870i | 0.727058 | − | 0.0570711i | ||||
\(457\) | 11.4440 | 0.535328 | 0.267664 | − | 0.963512i | \(-0.413748\pi\) | ||||
0.267664 | + | 0.963512i | \(0.413748\pi\) | |||||||
\(458\) | −27.9429 | + | 11.7372i | −1.30568 | + | 0.548444i | ||||
\(459\) | 5.10106 | − | 8.98105i | 0.238097 | − | 0.419200i | ||||
\(460\) | 3.71680 | + | 4.10697i | 0.173297 | + | 0.191488i | ||||
\(461\) | −20.3963 | − | 28.0731i | −0.949950 | − | 1.30749i | −0.951550 | − | 0.307495i | \(-0.900509\pi\) |
0.00160016 | − | 0.999999i | \(-0.499491\pi\) | |||||||
\(462\) | −27.6315 | + | 16.5497i | −1.28553 | + | 0.769962i | ||||
\(463\) | 1.65458 | − | 2.27734i | 0.0768950 | − | 0.105837i | −0.768837 | − | 0.639445i | \(-0.779164\pi\) |
0.845732 | + | 0.533608i | \(0.179164\pi\) | |||||||
\(464\) | −9.40494 | − | 6.55170i | −0.436614 | − | 0.304155i | ||||
\(465\) | 36.6677 | + | 8.66060i | 1.70042 | + | 0.401626i | ||||
\(466\) | −16.0597 | − | 9.73203i | −0.743951 | − | 0.450828i | ||||
\(467\) | −12.0315 | − | 37.0291i | −0.556751 | − | 1.71350i | −0.691275 | − | 0.722592i | \(-0.742951\pi\) |
0.134524 | − | 0.990910i | \(-0.457049\pi\) | |||||||
\(468\) | 13.5831 | + | 14.1452i | 0.627877 | + | 0.653863i | ||||
\(469\) | −16.6922 | − | 51.3732i | −0.770772 | − | 2.37219i | ||||
\(470\) | 5.07023 | − | 3.87095i | 0.233872 | − | 0.178554i | ||||
\(471\) | −5.80431 | − | 5.98232i | −0.267449 | − | 0.275651i | ||||
\(472\) | 8.81451 | + | 0.561741i | 0.405721 | + | 0.0258562i | ||||
\(473\) | 10.5369 | + | 14.5028i | 0.484486 | + | 0.666838i | ||||
\(474\) | −9.69379 | + | 22.7480i | −0.445251 | + | 1.04485i | ||||
\(475\) | 10.8092 | − | 11.6533i | 0.495960 | − | 0.534690i | ||||
\(476\) | 14.6165 | − | 2.46406i | 0.669944 | − | 0.112940i | ||||
\(477\) | −4.28000 | + | 11.9336i | −0.195968 | + | 0.546400i | ||||
\(478\) | 25.1167 | + | 5.89823i | 1.14881 | + | 0.269779i | ||||
\(479\) | 7.46967 | − | 22.9893i | 0.341298 | − | 1.05041i | −0.622238 | − | 0.782828i | \(-0.713776\pi\) |
0.963536 | − | 0.267579i | \(-0.0862236\pi\) | |||||||
\(480\) | −2.80914 | + | 21.7281i | −0.128219 | + | 0.991746i | ||||
\(481\) | 3.70536 | + | 11.4039i | 0.168950 | + | 0.519974i | ||||
\(482\) | −0.328512 | − | 3.92487i | −0.0149633 | − | 0.178773i | ||||
\(483\) | −1.37044 | + | 7.88049i | −0.0623572 | + | 0.358575i | ||||
\(484\) | 2.57364 | + | 1.27930i | 0.116984 | + | 0.0581500i | ||||
\(485\) | 0.325873 | − | 5.44654i | 0.0147971 | − | 0.247315i | ||||
\(486\) | −3.27438 | + | 21.8009i | −0.148529 | + | 0.988908i | ||||
\(487\) | 13.4284 | − | 18.4826i | 0.608499 | − | 0.837527i | −0.387954 | − | 0.921679i | \(-0.626818\pi\) |
0.996453 | + | 0.0841514i | \(0.0268179\pi\) | |||||||
\(488\) | 9.87663 | − | 24.8865i | 0.447094 | − | 1.12656i | ||||
\(489\) | −17.5025 | + | 2.50181i | −0.791490 | + | 0.113136i | ||||
\(490\) | 17.9570 | + | 12.4060i | 0.811215 | + | 0.560445i | ||||
\(491\) | 7.17720 | + | 5.21454i | 0.323903 | + | 0.235329i | 0.737839 | − | 0.674977i | \(-0.235846\pi\) |
−0.413936 | + | 0.910306i | \(0.635846\pi\) | |||||||
\(492\) | −0.219043 | + | 42.3670i | −0.00987522 | + | 1.91005i | ||||
\(493\) | −5.69588 | −0.256530 | ||||||||
\(494\) | 5.69049 | + | 13.5474i | 0.256027 | + | 0.609526i | ||||
\(495\) | −17.8125 | − | 15.5686i | −0.800611 | − | 0.699758i | ||||
\(496\) | −38.9045 | + | 0.772838i | −1.74687 | + | 0.0347015i | ||||
\(497\) | −18.8973 | − | 6.14011i | −0.847660 | − | 0.275422i | ||||
\(498\) | −35.9514 | + | 8.24670i | −1.61102 | + | 0.369544i | ||||
\(499\) | − | 7.10021i | − | 0.317849i | −0.987291 | − | 0.158925i | \(-0.949197\pi\) | ||
0.987291 | − | 0.158925i | \(-0.0508027\pi\) | |||||||
\(500\) | 12.9203 | + | 18.2501i | 0.577816 | + | 0.816167i | ||||
\(501\) | 2.53012 | − | 4.78558i | 0.113037 | − | 0.213804i | ||||
\(502\) | 10.2553 | + | 11.8874i | 0.457718 | + | 0.530562i | ||||
\(503\) | −3.16395 | + | 9.73764i | −0.141074 | + | 0.434180i | −0.996485 | − | 0.0837689i | \(-0.973304\pi\) |
0.855412 | + | 0.517949i | \(0.173304\pi\) | |||||||
\(504\) | −27.2253 | + | 16.1158i | −1.21271 | + | 0.717855i | ||||
\(505\) | 6.11345 | + | 23.5103i | 0.272045 | + | 1.04619i | ||||
\(506\) | 5.69527 | − | 2.39226i | 0.253186 | − | 0.106349i | ||||
\(507\) | 1.87576 | − | 3.54790i | 0.0833055 | − | 0.157568i | ||||
\(508\) | 4.49710 | − | 2.34793i | 0.199527 | − | 0.104173i | ||||
\(509\) | 18.1736 | − | 25.0138i | 0.805531 | − | 1.10872i | −0.186466 | − | 0.982461i | \(-0.559703\pi\) |
0.991998 | − | 0.126257i | \(-0.0402965\pi\) | |||||||
\(510\) | 5.02640 | + | 9.65758i | 0.222573 | + | 0.427645i | ||||
\(511\) | −15.2455 | − | 20.9837i | −0.674423 | − | 0.928264i | ||||
\(512\) | −2.78133 | − | 22.4558i | −0.122919 | − | 0.992417i | ||||
\(513\) | −8.15793 | + | 14.3631i | −0.360181 | + | 0.634144i | ||||
\(514\) | 21.9130 | − | 18.9045i | 0.966542 | − | 0.833840i | ||||
\(515\) | 27.7259 | + | 1.65887i | 1.22175 | + | 0.0730986i | ||||
\(516\) | 10.2763 | + | 14.2990i | 0.452389 | + | 0.629478i | ||||
\(517\) | −2.19833 | − | 6.76576i | −0.0966823 | − | 0.297558i | ||||
\(518\) | −19.2770 | + | 1.61348i | −0.846981 | + | 0.0708923i | ||||
\(519\) | 2.44100 | − | 14.0365i | 0.107148 | − | 0.616136i | ||||
\(520\) | −20.2967 | + | 3.91938i | −0.890070 | + | 0.171876i | ||||
\(521\) | 10.0963 | + | 3.28050i | 0.442329 | + | 0.143721i | 0.521710 | − | 0.853123i | \(-0.325294\pi\) |
−0.0793809 | + | 0.996844i | \(0.525294\pi\) | |||||||
\(522\) | 11.3457 | − | 4.36749i | 0.496588 | − | 0.191160i | ||||
\(523\) | −8.14789 | − | 11.2146i | −0.356282 | − | 0.490381i | 0.592826 | − | 0.805331i | \(-0.298012\pi\) |
−0.949108 | + | 0.314950i | \(0.898012\pi\) | |||||||
\(524\) | 28.0700 | − | 4.73207i | 1.22624 | − | 0.206721i | ||||
\(525\) | −9.28600 | + | 30.9259i | −0.405274 | + | 1.34972i | ||||
\(526\) | −0.780789 | − | 9.32842i | −0.0340440 | − | 0.406738i | ||||
\(527\) | −15.6438 | + | 11.3659i | −0.681457 | + | 0.495107i | ||||
\(528\) | 21.8226 | + | 10.9886i | 0.949708 | + | 0.478219i | ||||
\(529\) | −6.63333 | + | 20.4153i | −0.288406 | + | 0.887622i | ||||
\(530\) | −8.10944 | − | 10.6219i | −0.352251 | − | 0.461384i | ||||
\(531\) | −5.73283 | + | 7.40927i | −0.248784 | + | 0.321535i | ||||
\(532\) | −23.3755 | + | 3.94067i | −1.01346 | + | 0.170850i | ||||
\(533\) | −38.0185 | + | 12.3530i | −1.64676 | + | 0.535066i | ||||
\(534\) | 6.67555 | − | 3.99828i | 0.288879 | − | 0.173023i | ||||
\(535\) | −8.79588 | + | 2.28722i | −0.380279 | + | 0.0988852i | ||||
\(536\) | −26.1452 | + | 31.5520i | −1.12930 | + | 1.36284i | ||||
\(537\) | −10.2936 | + | 5.05052i | −0.444201 | + | 0.217946i | ||||
\(538\) | 12.7555 | + | 7.72975i | 0.549930 | + | 0.333253i | ||||
\(539\) | 19.6918 | − | 14.3069i | 0.848185 | − | 0.616242i | ||||
\(540\) | −17.4174 | − | 15.3829i | −0.749526 | − | 0.661975i | ||||
\(541\) | 26.1598 | + | 19.0062i | 1.12470 | + | 0.817140i | 0.984914 | − | 0.173042i | \(-0.0553597\pi\) |
0.139782 | + | 0.990182i | \(0.455360\pi\) | |||||||
\(542\) | 7.52072 | + | 17.9046i | 0.323043 | + | 0.769070i | ||||
\(543\) | −8.27538 | + | 15.6524i | −0.355130 | + | 0.671710i | ||||
\(544\) | −7.51264 | − | 8.36636i | −0.322102 | − | 0.358705i | ||||
\(545\) | 15.0819 | + | 5.91781i | 0.646037 | + | 0.253491i | ||||
\(546\) | −22.5012 | − | 19.6157i | −0.962962 | − | 0.839476i | ||||
\(547\) | −6.72237 | − | 2.18423i | −0.287428 | − | 0.0933910i | 0.161755 | − | 0.986831i | \(-0.448285\pi\) |
−0.449182 | + | 0.893440i | \(0.648285\pi\) | |||||||
\(548\) | −6.96693 | − | 6.82991i | −0.297612 | − | 0.291759i | ||||
\(549\) | 15.9910 | + | 23.4688i | 0.682481 | + | 1.00162i | ||||
\(550\) | 23.9785 | − | 6.84700i | 1.02245 | − | 0.291957i | ||||
\(551\) | 9.10920 | 0.388065 | ||||||||
\(552\) | 5.60638 | − | 2.32090i | 0.238624 | − | 0.0987839i | ||||
\(553\) | 11.6311 | − | 35.7968i | 0.494605 | − | 1.52224i | ||||
\(554\) | 4.77103 | + | 1.12040i | 0.202702 | + | 0.0476011i | ||||
\(555\) | −5.48561 | − | 13.1068i | −0.232851 | − | 0.556354i | ||||
\(556\) | 31.0585 | − | 16.2156i | 1.31718 | − | 0.687696i | ||||
\(557\) | − | 15.5161i | − | 0.657438i | −0.944428 | − | 0.328719i | \(-0.893383\pi\) | ||
0.944428 | − | 0.328719i | \(-0.106617\pi\) | |||||||
\(558\) | 22.4460 | − | 34.6353i | 0.950216 | − | 1.46623i | ||||
\(559\) | −9.76560 | + | 13.4412i | −0.413041 | + | 0.568502i | ||||
\(560\) | 1.33019 | − | 33.3224i | 0.0562107 | − | 1.40813i | ||||
\(561\) | 12.0195 | − | 1.71807i | 0.507464 | − | 0.0725370i | ||||
\(562\) | −14.7793 | − | 8.95614i | −0.623428 | − | 0.377792i | ||||
\(563\) | 15.7275 | + | 11.4267i | 0.662834 | + | 0.481577i | 0.867619 | − | 0.497230i | \(-0.165650\pi\) |
−0.204785 | + | 0.978807i | \(0.565650\pi\) | |||||||
\(564\) | −2.12497 | − | 6.65690i | −0.0894774 | − | 0.280306i | ||||
\(565\) | 10.4147 | − | 26.5424i | 0.438148 | − | 1.11665i | ||||
\(566\) | −22.9166 | − | 13.8873i | −0.963258 | − | 0.583726i | ||||
\(567\) | 2.02577 | − | 33.4955i | 0.0850742 | − | 1.40668i | ||||
\(568\) | 3.73667 | + | 14.6026i | 0.156787 | + | 0.612709i | ||||
\(569\) | −21.9307 | + | 7.12572i | −0.919383 | + | 0.298726i | −0.730214 | − | 0.683219i | \(-0.760580\pi\) |
−0.189170 | + | 0.981944i | \(0.560580\pi\) | |||||||
\(570\) | −8.03854 | − | 15.4450i | −0.336697 | − | 0.646919i | ||||
\(571\) | 6.39705 | + | 2.07853i | 0.267708 | + | 0.0869837i | 0.439795 | − | 0.898098i | \(-0.355051\pi\) |
−0.172087 | + | 0.985082i | \(0.555051\pi\) | |||||||
\(572\) | −3.38004 | + | 22.8042i | −0.141326 | + | 0.953492i | ||||
\(573\) | 2.03658 | + | 14.2478i | 0.0850795 | + | 0.595211i | ||||
\(574\) | −5.37904 | − | 64.2657i | −0.224517 | − | 2.68240i | ||||
\(575\) | 2.60234 | − | 5.61961i | 0.108525 | − | 0.234354i | ||||
\(576\) | 21.3797 | + | 10.9045i | 0.890821 | + | 0.454355i | ||||
\(577\) | −13.2129 | + | 9.59973i | −0.550060 | + | 0.399642i | −0.827808 | − | 0.561012i | \(-0.810412\pi\) |
0.277748 | + | 0.960654i | \(0.410412\pi\) | |||||||
\(578\) | 17.9652 | + | 4.21882i | 0.747254 | + | 0.175480i | ||||
\(579\) | −27.2037 | − | 28.0380i | −1.13055 | − | 1.16522i | ||||
\(580\) | −2.63264 | + | 12.5416i | −0.109314 | + | 0.520761i | ||||
\(581\) | 53.3973 | − | 17.3498i | 2.21529 | − | 0.719792i | ||||
\(582\) | −5.49861 | − | 2.34317i | −0.227925 | − | 0.0971275i | ||||
\(583\) | −14.1739 | + | 4.60538i | −0.587023 | + | 0.190735i | ||||
\(584\) | −7.25798 | + | 18.2882i | −0.300337 | + | 0.756771i | ||||
\(585\) | 8.62141 | − | 20.1595i | 0.356451 | − | 0.833492i | ||||
\(586\) | −3.87444 | + | 3.34250i | −0.160052 | + | 0.138077i | ||||
\(587\) | −7.11997 | − | 5.17296i | −0.293872 | − | 0.213511i | 0.431073 | − | 0.902317i | \(-0.358135\pi\) |
−0.724946 | + | 0.688806i | \(0.758135\pi\) | |||||||
\(588\) | 19.4151 | − | 13.9531i | 0.800665 | − | 0.575416i | ||||
\(589\) | 25.0186 | − | 18.1771i | 1.03087 | − | 0.748973i | ||||
\(590\) | −3.27364 | − | 9.31650i | −0.134774 | − | 0.383554i | ||||
\(591\) | 11.5073 | + | 23.4532i | 0.473345 | + | 0.964736i | ||||
\(592\) | 8.85952 | + | 11.6982i | 0.364124 | + | 0.480795i | ||||
\(593\) | 23.8066i | 0.977622i | 0.872390 | + | 0.488811i | \(0.162569\pi\) | ||||
−0.872390 | + | 0.488811i | \(0.837431\pi\) | |||||||
\(594\) | −22.6245 | + | 12.6386i | −0.928293 | + | 0.518567i | ||||
\(595\) | −8.92281 | − | 13.9651i | −0.365800 | − | 0.572513i | ||||
\(596\) | 1.92934 | + | 0.285966i | 0.0790287 | + | 0.0117136i | ||||
\(597\) | −3.01952 | + | 2.92967i | −0.123581 | + | 0.119903i | ||||
\(598\) | 3.73975 | + | 4.33491i | 0.152930 | + | 0.177268i | ||||
\(599\) | 16.6142 | 0.678837 | 0.339419 | − | 0.940635i | \(-0.389770\pi\) | ||||
0.339419 | + | 0.940635i | \(0.389770\pi\) | |||||||
\(600\) | 23.5879 | − | 6.60376i | 0.962973 | − | 0.269597i | ||||
\(601\) | 1.87047 | 0.0762980 | 0.0381490 | − | 0.999272i | \(-0.487854\pi\) | ||||
0.0381490 | + | 0.999272i | \(0.487854\pi\) | |||||||
\(602\) | −17.5083 | − | 20.2946i | −0.713584 | − | 0.827147i | ||||
\(603\) | −12.1763 | − | 41.7220i | −0.495856 | − | 1.69905i | ||||
\(604\) | −35.2105 | − | 5.21889i | −1.43269 | − | 0.212354i | ||||
\(605\) | 0.191912 | − | 3.20756i | 0.00780234 | − | 0.130406i | ||||
\(606\) | 26.5061 | + | 2.35662i | 1.07674 | + | 0.0957313i | ||||
\(607\) | 3.55849i | 0.144434i | 0.997389 | + | 0.0722172i | \(0.0230075\pi\) | ||||
−0.997389 | + | 0.0722172i | \(0.976993\pi\) | |||||||
\(608\) | 12.0147 | + | 13.3800i | 0.487260 | + | 0.542630i | ||||
\(609\) | −16.6134 | + | 8.15134i | −0.673210 | + | 0.330309i | ||||
\(610\) | −29.9266 | + | 0.710757i | −1.21169 | + | 0.0287777i | ||||
\(611\) | 5.33403 | − | 3.87540i | 0.215792 | − | 0.156782i | ||||
\(612\) | 11.8150 | − | 1.62655i | 0.477594 | − | 0.0657495i | ||||
\(613\) | −13.2664 | − | 9.63859i | −0.535824 | − | 0.389299i | 0.286708 | − | 0.958018i | \(-0.407439\pi\) |
−0.822532 | + | 0.568719i | \(0.807439\pi\) | |||||||
\(614\) | −10.6368 | + | 9.17639i | −0.429265 | + | 0.370329i | ||||
\(615\) | 43.6957 | − | 18.2880i | 1.76198 | − | 0.737442i | ||||
\(616\) | −34.5684 | − | 13.7190i | −1.39280 | − | 0.552756i | ||||
\(617\) | −20.4200 | + | 6.63486i | −0.822078 | + | 0.267109i | −0.689705 | − | 0.724090i | \(-0.742260\pi\) |
−0.132373 | + | 0.991200i | \(0.542260\pi\) | |||||||
\(618\) | 11.9280 | − | 27.9910i | 0.479816 | − | 1.12596i | ||||
\(619\) | 5.10918 | − | 1.66007i | 0.205355 | − | 0.0667240i | −0.204533 | − | 0.978860i | \(-0.565568\pi\) |
0.409889 | + | 0.912136i | \(0.365568\pi\) | |||||||
\(620\) | 17.7957 | + | 39.6990i | 0.714692 | + | 1.59435i | ||||
\(621\) | −1.29364 | + | 6.30451i | −0.0519120 | + | 0.252991i | ||||
\(622\) | −26.3945 | − | 6.19831i | −1.05832 | − | 0.248530i | ||||
\(623\) | −9.58238 | + | 6.96200i | −0.383910 | + | 0.278927i | ||||
\(624\) | −3.43588 | + | 22.3825i | −0.137545 | + | 0.896017i | ||||
\(625\) | 13.1353 | − | 21.2712i | 0.525412 | − | 0.850848i | ||||
\(626\) | −1.39740 | − | 16.6953i | −0.0558514 | − | 0.667280i | ||||
\(627\) | −19.2223 | + | 2.74764i | −0.767667 | + | 0.109730i | ||||
\(628\) | 1.41117 | − | 9.52083i | 0.0563120 | − | 0.379922i | ||||
\(629\) | 6.93535 | + | 2.25343i | 0.276531 | + | 0.0898502i | ||||
\(630\) | 28.4816 | + | 20.9754i | 1.13474 | + | 0.835681i | ||||
\(631\) | −27.3070 | + | 8.87259i | −1.08708 | + | 0.353212i | −0.797116 | − | 0.603827i | \(-0.793642\pi\) |
−0.289960 | + | 0.957039i | \(0.593642\pi\) | |||||||
\(632\) | −27.6614 | + | 7.07832i | −1.10031 | + | 0.281560i | ||||
\(633\) | 6.37542 | − | 36.6608i | 0.253400 | − | 1.45714i | ||||
\(634\) | 22.5067 | + | 13.6389i | 0.893856 | + | 0.541669i | ||||
\(635\) | −4.38139 | − | 3.60199i | −0.173870 | − | 0.142940i | ||||
\(636\) | −13.9459 | + | 4.45170i | −0.552989 | + | 0.176521i | ||||
\(637\) | 18.2504 | + | 13.2597i | 0.723107 | + | 0.525368i | ||||
\(638\) | 12.2223 | + | 7.40663i | 0.483887 | + | 0.293231i | ||||
\(639\) | −15.0488 | − | 5.39728i | −0.595321 | − | 0.213513i | ||||
\(640\) | −21.8940 | + | 12.6749i | −0.865435 | + | 0.501021i | ||||
\(641\) | −21.2586 | + | 29.2599i | −0.839664 | + | 1.15570i | 0.146383 | + | 0.989228i | \(0.453237\pi\) |
−0.986047 | + | 0.166470i | \(0.946763\pi\) | |||||||
\(642\) | −0.881682 | + | 9.91671i | −0.0347972 | + | 0.391381i | ||||
\(643\) | − | 28.9777i | − | 1.14277i | −0.820683 | − | 0.571384i | \(-0.806407\pi\) | ||
0.820683 | − | 0.571384i | \(-0.193593\pi\) | |||||||
\(644\) | −8.18745 | + | 4.27466i | −0.322631 | + | 0.168445i | ||||
\(645\) | 10.2246 | − | 16.8237i | 0.402594 | − | 0.662432i | ||||
\(646\) | 8.69957 | + | 2.04295i | 0.342280 | + | 0.0803787i | ||||
\(647\) | 1.21180 | − | 3.72955i | 0.0476409 | − | 0.146624i | −0.924406 | − | 0.381409i | \(-0.875439\pi\) |
0.972047 | + | 0.234786i | \(0.0754388\pi\) | |||||||
\(648\) | −22.2873 | + | 12.2995i | −0.875527 | + | 0.483169i | ||||
\(649\) | −11.0126 | −0.432284 | ||||||||
\(650\) | 12.9026 | + | 19.1747i | 0.506083 | + | 0.752094i | ||||
\(651\) | −29.3634 | + | 55.5393i | −1.15084 | + | 2.17676i | ||||
\(652\) | −14.5786 | − | 14.2919i | −0.570943 | − | 0.559714i | ||||
\(653\) | 38.0650 | + | 12.3681i | 1.48960 | + | 0.484001i | 0.936965 | − | 0.349423i | \(-0.113622\pi\) |
0.552635 | + | 0.833423i | \(0.313622\pi\) | |||||||
\(654\) | 11.6624 | − | 13.3779i | 0.456036 | − | 0.523118i | ||||
\(655\) | −17.1357 | − | 26.8191i | −0.669547 | − | 1.04791i | ||||
\(656\) | −38.9997 | + | 29.5359i | −1.52268 | + | 1.15318i | ||||
\(657\) | −11.7512 | − | 17.2464i | −0.458459 | − | 0.672845i | ||||
\(658\) | 4.11921 | + | 9.80663i | 0.160583 | + | 0.382302i | ||||
\(659\) | 26.7703 | + | 19.4498i | 1.04282 | + | 0.757656i | 0.970835 | − | 0.239750i | \(-0.0770654\pi\) |
0.0719890 | + | 0.997405i | \(0.477065\pi\) | |||||||
\(660\) | 1.77245 | − | 27.2595i | 0.0689925 | − | 1.06107i | ||||
\(661\) | −5.86281 | + | 4.25958i | −0.228037 | + | 0.165678i | −0.695937 | − | 0.718103i | \(-0.745011\pi\) |
0.467900 | + | 0.883781i | \(0.345011\pi\) | |||||||
\(662\) | −16.4994 | − | 9.99850i | −0.641268 | − | 0.388603i | ||||
\(663\) | 4.95674 | + | 10.1025i | 0.192504 | + | 0.392347i | ||||
\(664\) | −32.7951 | − | 27.1753i | −1.27270 | − | 1.05461i | ||||
\(665\) | 14.2699 | + | 22.3338i | 0.553363 | + | 0.866069i | ||||
\(666\) | −15.5425 | + | 0.829246i | −0.602260 | + | 0.0321326i | ||||
\(667\) | 3.37546 | − | 1.09675i | 0.130698 | − | 0.0424664i | ||||
\(668\) | 6.16372 | − | 1.03909i | 0.238481 | − | 0.0402035i | ||||
\(669\) | −3.83181 | + | 22.0342i | −0.148146 | + | 0.851892i | ||||
\(670\) | 43.8950 | + | 13.1186i | 1.69581 | + | 0.506817i | ||||
\(671\) | −10.3162 | + | 31.7501i | −0.398254 | + | 1.22570i | ||||
\(672\) | −33.8855 | − | 13.6512i | −1.30716 | − | 0.526607i | ||||
\(673\) | −27.0338 | + | 19.6412i | −1.04208 | + | 0.757114i | −0.970690 | − | 0.240334i | \(-0.922743\pi\) |
−0.0713881 | + | 0.997449i | \(0.522743\pi\) | |||||||
\(674\) | −1.30992 | − | 15.6502i | −0.0504562 | − | 0.602822i | ||||
\(675\) | −8.21960 | + | 24.6463i | −0.316373 | + | 0.948635i | ||||
\(676\) | 4.56961 | − | 0.770350i | 0.175754 | − | 0.0296288i | ||||
\(677\) | 17.3447 | + | 23.8729i | 0.666611 | + | 0.917511i | 0.999678 | − | 0.0253923i | \(-0.00808348\pi\) |
−0.333067 | + | 0.942903i | \(0.608083\pi\) | |||||||
\(678\) | −23.5436 | − | 20.5244i | −0.904186 | − | 0.788237i | ||||
\(679\) | 8.65277 | + | 2.81145i | 0.332063 | + | 0.107894i | ||||
\(680\) | −5.32699 | + | 11.3872i | −0.204281 | + | 0.436678i | ||||
\(681\) | −34.3049 | − | 5.96572i | −1.31457 | − | 0.228607i | ||||
\(682\) | 48.3485 | − | 4.04677i | 1.85136 | − | 0.154959i | ||||
\(683\) | −10.6640 | − | 32.8204i | −0.408047 | − | 1.25584i | −0.918324 | − | 0.395829i | \(-0.870457\pi\) |
0.510278 | − | 0.860010i | \(-0.329543\pi\) | |||||||
\(684\) | −18.8953 | + | 2.60128i | −0.722480 | + | 0.0994625i | ||||
\(685\) | −3.98429 | + | 10.1542i | −0.152232 | + | 0.387972i | ||||
\(686\) | 0.391647 | − | 0.337876i | 0.0149531 | − | 0.0129001i | ||||
\(687\) | 33.3243 | − | 16.3505i | 1.27140 | − | 0.623810i | ||||
\(688\) | −5.89784 | + | 19.4585i | −0.224853 | + | 0.741848i | ||||
\(689\) | −8.11875 | − | 11.1745i | −0.309300 | − | 0.425715i | ||||
\(690\) | −4.83830 | − | 4.75537i | −0.184191 | − | 0.181034i | ||||
\(691\) | −10.0608 | + | 13.8475i | −0.382732 | + | 0.526785i | −0.956306 | − | 0.292369i | \(-0.905557\pi\) |
0.573574 | + | 0.819154i | \(0.305557\pi\) | |||||||
\(692\) | 14.5833 | − | 7.61392i | 0.554374 | − | 0.289438i | ||||
\(693\) | 32.5991 | − | 22.2122i | 1.23834 | − | 0.843772i | ||||
\(694\) | −40.7055 | + | 17.0980i | −1.54516 | + | 0.649033i | ||||
\(695\) | −30.2594 | − | 24.8766i | −1.14780 | − | 0.943622i | ||||
\(696\) | 11.9679 | + | 7.33731i | 0.453642 | + | 0.278120i | ||||
\(697\) | −7.51251 | + | 23.1211i | −0.284557 | + | 0.875775i | ||||
\(698\) | 27.7109 | + | 32.1210i | 1.04887 | + | 1.21580i | ||||
\(699\) | 20.3320 | + | 10.7494i | 0.769026 | + | 0.406581i | ||||
\(700\) | −34.8734 | + | 13.1922i | −1.31809 | + | 0.498618i | ||||
\(701\) | − | 14.9700i | − | 0.565410i | −0.959207 | − | 0.282705i | \(-0.908768\pi\) | ||
0.959207 | − | 0.282705i | \(-0.0912318\pi\) | |||||||
\(702\) | −17.6198 | − | 16.3225i | −0.665015 | − | 0.616053i | ||||
\(703\) | −11.0914 | − | 3.60383i | −0.418322 | − | 0.135921i | ||||
\(704\) | 5.24161 | + | 27.7218i | 0.197551 | + | 1.04480i | ||||
\(705\) | −5.92207 | + | 5.09572i | −0.223038 | + | 0.191916i | ||||
\(706\) | 6.69975 | + | 15.9501i | 0.252148 | + | 0.600292i | ||||
\(707\) | −40.5058 | −1.52338 | ||||||||
\(708\) | −10.8173 | − | 0.0559268i | −0.406538 | − | 0.00210186i | ||||
\(709\) | −4.40902 | − | 3.20334i | −0.165584 | − | 0.120304i | 0.501907 | − | 0.864922i | \(-0.332632\pi\) |
−0.667491 | + | 0.744618i | \(0.732632\pi\) | |||||||
\(710\) | 13.3947 | − | 10.2264i | 0.502693 | − | 0.383790i | ||||
\(711\) | 10.2240 | − | 28.5067i | 0.383429 | − | 1.06908i | ||||
\(712\) | 8.35146 | + | 3.31442i | 0.312984 | + | 0.124213i | ||||
\(713\) | 7.08222 | − | 9.74785i | 0.265231 | − | 0.365060i | ||||
\(714\) | −17.6945 | + | 4.05884i | −0.662199 | + | 0.151898i | ||||
\(715\) | 24.9449 | − | 6.48650i | 0.932885 | − | 0.242581i | ||||
\(716\) | −11.8557 | − | 5.89321i | −0.443068 | − | 0.220240i | ||||
\(717\) | −31.1311 | − | 5.41379i | −1.16261 | − | 0.202182i | ||||
\(718\) | 2.64322 | + | 31.5797i | 0.0986442 | + | 1.17854i | ||||
\(719\) | −5.38345 | − | 16.5685i | −0.200769 | − | 0.617902i | −0.999861 | − | 0.0166936i | \(-0.994686\pi\) |
0.799092 | − | 0.601209i | \(-0.205314\pi\) | |||||||
\(720\) | 1.87944 | − | 26.7669i | 0.0700427 | − | 0.997544i | ||||
\(721\) | −14.3119 | + | 44.0474i | −0.533002 | + | 1.64041i | ||||
\(722\) | 12.2456 | + | 2.87567i | 0.455733 | + | 0.107021i | ||||
\(723\) | 0.682573 | + | 4.77524i | 0.0253852 | + | 0.177593i | ||||
\(724\) | −20.1599 | + | 3.39859i | −0.749238 | + | 0.126307i | ||||
\(725\) | 14.0570 | − | 2.77113i | 0.522063 | − | 0.102917i | ||||
\(726\) | −3.23823 | − | 1.37993i | −0.120182 | − | 0.0512142i | ||||
\(727\) | 3.34911 | + | 4.60965i | 0.124212 | + | 0.170962i | 0.866594 | − | 0.499014i | \(-0.166304\pi\) |
−0.742383 | + | 0.669976i | \(0.766304\pi\) | |||||||
\(728\) | 2.19223 | − | 34.3992i | 0.0812493 | − | 1.27492i | ||||
\(729\) | 2.44306 | − | 26.8892i | 0.0904837 | − | 0.995898i | ||||
\(730\) | 21.9920 | − | 0.522310i | 0.813960 | − | 0.0193315i | ||||
\(731\) | 3.12232 | + | 9.60950i | 0.115483 | + | 0.355420i | ||||
\(732\) | −10.2945 | + | 31.1345i | −0.380494 | + | 1.15076i | ||||
\(733\) | 3.44514 | + | 10.6030i | 0.127249 | + | 0.391632i | 0.994304 | − | 0.106580i | \(-0.0339900\pi\) |
−0.867055 | + | 0.498212i | \(0.833990\pi\) | |||||||
\(734\) | −4.65582 | − | 2.82139i | −0.171849 | − | 0.104139i | ||||
\(735\) | −22.8431 | − | 13.8830i | −0.842581 | − | 0.512080i | ||||
\(736\) | 6.06305 | + | 3.51144i | 0.223487 | + | 0.129433i | ||||
\(737\) | 30.0310 | − | 41.3342i | 1.10621 | − | 1.52256i | ||||
\(738\) | −2.76455 | − | 51.8158i | −0.101764 | − | 1.90736i | ||||
\(739\) | 4.31876 | + | 5.94426i | 0.158868 | + | 0.218663i | 0.881029 | − | 0.473061i | \(-0.156851\pi\) |
−0.722161 | + | 0.691725i | \(0.756851\pi\) | |||||||
\(740\) | 8.16728 | − | 14.2292i | 0.300235 | − | 0.523076i | ||||
\(741\) | −7.92713 | − | 16.1565i | −0.291210 | − | 0.593523i | ||||
\(742\) | 20.5444 | − | 8.62952i | 0.754208 | − | 0.316800i | ||||
\(743\) | −49.9238 | −1.83153 | −0.915763 | − | 0.401720i | \(-0.868413\pi\) | ||||
−0.915763 | + | 0.401720i | \(0.868413\pi\) | |||||||
\(744\) | 47.5114 | − | 3.72945i | 1.74185 | − | 0.136728i | ||||
\(745\) | −0.548786 | − | 2.11044i | −0.0201060 | − | 0.0773207i | ||||
\(746\) | 4.96953 | + | 1.16701i | 0.181948 | + | 0.0427273i | ||||
\(747\) | 43.3658 | − | 12.6560i | 1.58667 | − | 0.463060i | ||||
\(748\) | 10.0116 | + | 9.81470i | 0.366061 | + | 0.358861i | ||||
\(749\) | − | 15.1544i | − | 0.553730i | ||||||
\(750\) | −17.1033 | − | 21.3887i | −0.624525 | − | 0.781005i | ||||
\(751\) | − | 15.6934i | − | 0.572659i | −0.958131 | − | 0.286329i | \(-0.907565\pi\) | ||
0.958131 | − | 0.286329i | \(-0.0924352\pi\) | |||||||
\(752\) | 4.61217 | − | 6.62075i | 0.168188 | − | 0.241434i | ||||
\(753\) | −13.3895 | − | 13.8002i | −0.487942 | − | 0.502906i | ||||
\(754\) | −3.02806 | + | 12.8945i | −0.110276 | + | 0.469591i | ||||
\(755\) | 10.0154 | + | 38.5157i | 0.364497 | + | 1.40173i | ||||
\(756\) | 32.1336 | − | 21.6526i | 1.16869 | − | 0.787498i | ||||
\(757\) | 29.7944 | 1.08290 | 0.541448 | − | 0.840734i | \(-0.317876\pi\) | ||||
0.541448 | + | 0.840734i | \(0.317876\pi\) | |||||||
\(758\) | −10.6209 | − | 25.2852i | −0.385768 | − | 0.918401i | ||||
\(759\) | −6.79211 | + | 3.33253i | −0.246538 | + | 0.120963i | ||||
\(760\) | 8.51925 | − | 18.2111i | 0.309026 | − | 0.660585i | ||||
\(761\) | −13.6667 | − | 18.8106i | −0.495418 | − | 0.681884i | 0.485958 | − | 0.873982i | \(-0.338471\pi\) |
−0.981376 | + | 0.192098i | \(0.938471\pi\) | |||||||
\(762\) | −5.33034 | + | 3.19258i | −0.193098 | + | 0.115655i | ||||
\(763\) | −15.8790 | + | 21.8555i | −0.574857 | + | 0.791223i | ||||
\(764\) | −11.6342 | + | 11.8677i | −0.420912 | + | 0.429357i | ||||
\(765\) | −6.83677 | − | 11.4481i | −0.247184 | − | 0.413907i | ||||
\(766\) | 4.76453 | − | 7.86238i | 0.172149 | − | 0.284079i | ||||
\(767\) | −3.15400 | − | 9.70701i | −0.113884 | − | 0.350500i | ||||
\(768\) | 5.00784 | + | 27.2566i | 0.180705 | + | 0.983537i | ||||
\(769\) | 4.88353 | + | 15.0299i | 0.176104 | + | 0.541994i | 0.999682 | − | 0.0252096i | \(-0.00802532\pi\) |
−0.823578 | + | 0.567203i | \(0.808025\pi\) | |||||||
\(770\) | 0.987271 | + | 41.5693i | 0.0355788 | + | 1.49805i | ||||
\(771\) | −25.4389 | + | 24.6820i | −0.916161 | + | 0.888900i | ||||
\(772\) | 6.61390 | − | 44.6222i | 0.238039 | − | 1.60599i | ||||
\(773\) | −32.3212 | − | 44.4864i | −1.16251 | − | 1.60006i | −0.701499 | − | 0.712671i | \(-0.747485\pi\) |
−0.461015 | − | 0.887392i | \(-0.652515\pi\) | |||||||
\(774\) | −13.5878 | − | 16.7472i | −0.488402 | − | 0.601965i | ||||
\(775\) | 33.0781 | − | 35.6611i | 1.18820 | − | 1.28099i | ||||
\(776\) | −1.71096 | − | 6.68627i | −0.0614199 | − | 0.240023i | ||||
\(777\) | 23.4535 | − | 3.35245i | 0.841390 | − | 0.120268i | ||||
\(778\) | 8.33228 | − | 35.4817i | 0.298727 | − | 1.27208i | ||||
\(779\) | 12.0145 | − | 36.9767i | 0.430463 | − | 1.32483i | ||||
\(780\) | 24.5353 | − | 6.24475i | 0.878504 | − | 0.223598i | ||||
\(781\) | −5.80761 | − | 17.8740i | −0.207813 | − | 0.639581i | ||||
\(782\) | 3.46964 | − | 0.290409i | 0.124074 | − | 0.0103850i | ||||
\(783\) | −13.5592 | + | 6.15197i | −0.484568 | + | 0.219853i | ||||
\(784\) | 26.4207 | + | 8.00806i | 0.943595 | + | 0.286002i | ||||
\(785\) | −10.4146 | + | 2.70813i | −0.371711 | + | 0.0966574i | ||||
\(786\) | −33.9811 | + | 7.79474i | −1.21207 | + | 0.278029i | ||||
\(787\) | −3.11769 | + | 4.29113i | −0.111134 | + | 0.152962i | −0.860961 | − | 0.508672i | \(-0.830137\pi\) |
0.749827 | + | 0.661634i | \(0.230137\pi\) | |||||||
\(788\) | −13.4273 | + | 27.0124i | −0.478327 | + | 0.962276i | ||||
\(789\) | 1.62230 | + | 11.3495i | 0.0577555 | + | 0.404054i | ||||
\(790\) | 19.3717 | + | 25.3733i | 0.689213 | + | 0.902742i | ||||
\(791\) | 38.4631 | + | 27.9451i | 1.36759 | + | 0.993614i | ||||
\(792\) | −27.4680 | − | 11.8733i | −0.976032 | − | 0.421901i | ||||
\(793\) | −30.9404 | −1.09873 | ||||||||
\(794\) | −1.03189 | + | 0.433438i | −0.0366204 | + | 0.0153822i | ||||
\(795\) | 10.6753 | + | 12.4064i | 0.378613 | + | 0.440010i | ||||
\(796\) | −4.80555 | − | 0.712277i | −0.170328 | − | 0.0252460i | ||||
\(797\) | 36.1519 | + | 11.7465i | 1.28057 | + | 0.416081i | 0.868780 | − | 0.495199i | \(-0.164905\pi\) |
0.411787 | + | 0.911280i | \(0.364905\pi\) | |||||||
\(798\) | 28.2981 | − | 6.49114i | 1.00174 | − | 0.229784i | ||||
\(799\) | − | 4.00970i | − | 0.141853i | ||||||
\(800\) | 22.6110 | + | 16.9925i | 0.799418 | + | 0.600775i | ||||
\(801\) | −7.87570 | + | 5.36630i | −0.278274 | + | 0.189609i | ||||
\(802\) | 0.459117 | − | 0.396083i | 0.0162120 | − | 0.0139862i | ||||
\(803\) | 7.58102 | − | 23.3320i | 0.267529 | − | 0.823368i | ||||
\(804\) | 29.7082 | − | 40.4484i | 1.04773 | − | 1.42650i | ||||
\(805\) | 7.97678 | + | 6.55780i | 0.281145 | + | 0.231132i | ||||
\(806\) | 17.4139 | + | 41.4574i | 0.613379 | + | 1.46028i | ||||
\(807\) | −16.1488 | − | 8.53783i | −0.568466 | − | 0.300546i | ||||
\(808\) | 16.4435 | + | 25.9573i | 0.578480 | + | 0.913175i | ||||
\(809\) | 13.8713 | − | 19.0922i | 0.487689 | − | 0.671247i | −0.492270 | − | 0.870442i | \(-0.663833\pi\) |
0.979960 | + | 0.199196i | \(0.0638329\pi\) | |||||||
\(810\) | 22.3964 | + | 17.5613i | 0.786930 | + | 0.617042i | ||||
\(811\) | 29.4566 | + | 40.5435i | 1.03436 | + | 1.42367i | 0.901623 | + | 0.432523i | \(0.142377\pi\) |
0.132737 | + | 0.991151i | \(0.457623\pi\) | |||||||
\(812\) | −19.1346 | − | 9.51141i | −0.671493 | − | 0.333785i | ||||
\(813\) | −10.4767 | − | 21.3529i | −0.367435 | − | 0.748877i | ||||
\(814\) | −11.9518 | − | 13.8538i | −0.418909 | − | 0.485577i | ||||
\(815\) | −8.33731 | + | 21.2481i | −0.292043 | + | 0.744289i | ||||
\(816\) | 9.78416 | + | 9.69143i | 0.342514 | + | 0.339268i | ||||
\(817\) | −4.99340 | − | 15.3681i | −0.174697 | − | 0.537662i | ||||
\(818\) | 0.257785 | + | 3.07986i | 0.00901323 | + | 0.107685i | ||||
\(819\) | 28.9151 | + | 22.3727i | 1.01038 | + | 0.781766i | ||||
\(820\) | 47.4374 | + | 27.2282i | 1.65659 | + | 0.950848i | ||||
\(821\) | −42.9828 | − | 13.9660i | −1.50011 | − | 0.487415i | −0.560060 | − | 0.828452i | \(-0.689222\pi\) |
−0.940050 | + | 0.341037i | \(0.889222\pi\) | |||||||
\(822\) | 9.00697 | + | 7.85195i | 0.314154 | + | 0.273868i | ||||
\(823\) | 4.85475 | + | 6.68199i | 0.169226 | + | 0.232920i | 0.885204 | − | 0.465203i | \(-0.154019\pi\) |
−0.715978 | + | 0.698123i | \(0.754019\pi\) | |||||||
\(824\) | 34.0368 | − | 8.70974i | 1.18573 | − | 0.303418i | ||||
\(825\) | −28.8273 | + | 10.0877i | −1.00364 | + | 0.351209i | ||||
\(826\) | 16.4085 | − | 1.37339i | 0.570926 | − | 0.0477865i | ||||
\(827\) | −30.2506 | + | 21.9783i | −1.05192 | + | 0.764261i | −0.972576 | − | 0.232586i | \(-0.925281\pi\) |
−0.0793397 | + | 0.996848i | \(0.525281\pi\) | |||||||
\(828\) | −6.68854 | + | 3.23892i | −0.232443 | + | 0.112560i | ||||
\(829\) | −11.1726 | + | 34.3858i | −0.388042 | + | 1.19427i | 0.546208 | + | 0.837650i | \(0.316071\pi\) |
−0.934250 | + | 0.356620i | \(0.883929\pi\) | |||||||
\(830\) | −13.6355 | + | 45.6245i | −0.473295 | + | 1.58365i | ||||
\(831\) | −5.91350 | − | 1.02837i | −0.205137 | − | 0.0356739i | ||||
\(832\) | −22.9339 | + | 12.5596i | −0.795091 | + | 0.435427i | ||||
\(833\) | 13.0477 | − | 4.23947i | 0.452077 | − | 0.146889i | ||||
\(834\) | −36.8132 | + | 22.0490i | −1.27474 | + | 0.763496i | ||||
\(835\) | −3.76272 | − | 5.88904i | −0.130214 | − | 0.203799i | ||||
\(836\) | −16.0112 | − | 15.6963i | −0.553758 | − | 0.542867i | ||||
\(837\) | −24.9647 | + | 43.9535i | −0.862907 | + | 1.51925i | ||||
\(838\) | 23.1553 | − | 38.2106i | 0.799887 | − | 1.31996i | ||||
\(839\) | −24.4427 | + | 17.7586i | −0.843854 | + | 0.613096i | −0.923445 | − | 0.383732i | \(-0.874639\pi\) |
0.0795906 | + | 0.996828i | \(0.474639\pi\) | |||||||
\(840\) | 0.758650 | + | 40.8369i | 0.0261759 | + | 1.40901i | ||||
\(841\) | −16.8186 | − | 12.2194i | −0.579951 | − | 0.421359i | ||||
\(842\) | −40.0217 | + | 16.8109i | −1.37924 | + | 0.579340i | ||||
\(843\) | 18.7110 | + | 9.89243i | 0.644440 | + | 0.340713i | ||||
\(844\) | 38.0888 | − | 19.8861i | 1.31107 | − | 0.684509i | ||||
\(845\) | −2.78958 | − | 4.36597i | −0.0959645 | − | 0.150194i | ||||
\(846\) | 3.07456 | + | 7.98697i | 0.105705 | + | 0.274598i | ||||
\(847\) | 5.09577 | + | 1.65571i | 0.175093 | + | 0.0568910i | ||||
\(848\) | −13.8701 | − | 9.66225i | −0.476302 | − | 0.331803i | ||||
\(849\) | 29.0130 | + | 15.3391i | 0.995725 | + | 0.526436i | ||||
\(850\) | 14.0463 | + | 0.506089i | 0.481786 | + | 0.0173587i | ||||
\(851\) | −4.54388 | −0.155762 | ||||||||
\(852\) | −5.61381 | − | 17.5864i | −0.192326 | − | 0.602500i | ||||
\(853\) | −6.86533 | + | 21.1293i | −0.235065 | + | 0.723454i | 0.762048 | + | 0.647520i | \(0.224194\pi\) |
−0.997113 | + | 0.0759342i | \(0.975806\pi\) | |||||||
\(854\) | 11.4113 | − | 48.5933i | 0.390487 | − | 1.66283i | ||||
\(855\) | 10.9338 | + | 18.3085i | 0.373928 | + | 0.626137i | ||||
\(856\) | −9.71139 | + | 6.15199i | −0.331929 | + | 0.210271i | ||||
\(857\) | 7.19446i | 0.245758i | 0.992422 | + | 0.122879i | \(0.0392127\pi\) | ||||
−0.992422 | + | 0.122879i | \(0.960787\pi\) | |||||||
\(858\) | 2.50043 | − | 28.1235i | 0.0853631 | − | 0.960122i | ||||
\(859\) | −27.3615 | + | 37.6598i | −0.933561 | + | 1.28494i | 0.0248928 | + | 0.999690i | \(0.492076\pi\) |
−0.958454 | + | 0.285247i | \(0.907924\pi\) | |||||||
\(860\) | 22.6020 | − | 2.43342i | 0.770722 | − | 0.0829791i | ||||
\(861\) | 11.1764 | + | 78.1895i | 0.380891 | + | 2.66469i | ||||
\(862\) | −18.6920 | + | 30.8454i | −0.636653 | + | 1.05060i | ||||
\(863\) | 8.03676 | + | 5.83905i | 0.273574 | + | 0.198763i | 0.716110 | − | 0.697988i | \(-0.245921\pi\) |
−0.442535 | + | 0.896751i | \(0.645921\pi\) | |||||||
\(864\) | −26.9204 | − | 11.8022i | −0.915851 | − | 0.401519i | ||||
\(865\) | −14.2081 | − | 11.6806i | −0.483088 | − | 0.397152i | ||||
\(866\) | 0.365623 | − | 0.603346i | 0.0124244 | − | 0.0205025i | ||||
\(867\) | −22.2671 | − | 3.87232i | −0.756231 | − | 0.131511i | ||||
\(868\) | −71.5332 | + | 12.0592i | −2.42800 | + | 0.409314i | ||||
\(869\) | 33.8584 | − | 11.0012i | 1.14857 | − | 0.373192i | ||||
\(870\) | 2.32115 | − | 15.5224i | 0.0786943 | − | 0.526259i | ||||
\(871\) | 45.0345 | + | 14.6326i | 1.52594 | + | 0.495806i | ||||
\(872\) | 20.4518 | + | 1.30337i | 0.692584 | + | 0.0441378i | ||||
\(873\) | 6.89059 | + | 2.47133i | 0.233211 | + | 0.0836417i | ||||
\(874\) | −5.54886 | + | 0.464440i | −0.187693 | + | 0.0157099i | ||||
\(875\) | 28.8150 | + | 30.1236i | 0.974125 | + | 1.01837i | ||||
\(876\) | 7.56503 | − | 22.8796i | 0.255599 | − | 0.773029i | ||||
\(877\) | −2.69068 | + | 1.95489i | −0.0908578 | + | 0.0660121i | −0.632287 | − | 0.774734i | \(-0.717884\pi\) |
0.541429 | + | 0.840747i | \(0.317884\pi\) | |||||||
\(878\) | 12.1653 | − | 51.8039i | 0.410558 | − | 1.74830i | ||||
\(879\) | 4.49786 | − | 4.36402i | 0.151709 | − | 0.147195i | ||||
\(880\) | 26.2381 | − | 17.5079i | 0.884485 | − | 0.590191i | ||||
\(881\) | −25.3805 | + | 8.24661i | −0.855089 | + | 0.277835i | −0.703576 | − | 0.710620i | \(-0.748415\pi\) |
−0.151513 | + | 0.988455i | \(0.548415\pi\) | |||||||
\(882\) | −22.7392 | + | 18.4494i | −0.765670 | + | 0.621224i | ||||
\(883\) | −25.1845 | + | 8.18294i | −0.847526 | + | 0.275378i | −0.700409 | − | 0.713741i | \(-0.746999\pi\) |
−0.147117 | + | 0.989119i | \(0.546999\pi\) | |||||||
\(884\) | −5.78379 | + | 11.6356i | −0.194530 | + | 0.391346i | ||||
\(885\) | 4.66934 | + | 11.1565i | 0.156958 | + | 0.375023i | ||||
\(886\) | −0.454425 | − | 0.526744i | −0.0152667 | − | 0.0176963i | ||||
\(887\) | 36.4449 | + | 26.4788i | 1.22370 | + | 0.889071i | 0.996402 | − | 0.0847541i | \(-0.0270105\pi\) |
0.227299 | + | 0.973825i | \(0.427010\pi\) | |||||||
\(888\) | −11.6694 | − | 13.6688i | −0.391599 | − | 0.458694i | ||||
\(889\) | 7.65141 | − | 5.55907i | 0.256620 | − | 0.186445i | ||||
\(890\) | −0.238517 | − | 10.0428i | −0.00799511 | − | 0.336636i | ||||
\(891\) | 26.7572 | − | 17.0719i | 0.896401 | − | 0.571930i | ||||
\(892\) | −22.8925 | + | 11.9521i | −0.766497 | + | 0.400187i | ||||
\(893\) | 6.41256i | 0.214588i | ||||||||
\(894\) | −2.37937 | − | 0.211547i | −0.0795782 | − | 0.00707519i | ||||
\(895\) | −0.884060 | + | 14.7759i | −0.0295509 | + | 0.493905i | ||||
\(896\) | −11.2670 | − | 40.6509i | −0.376406 | − | 1.35805i | ||||
\(897\) | −4.88268 | − | 5.03242i | −0.163028 | − | 0.168028i | ||||
\(898\) | 11.7552 | − | 10.1413i | 0.392276 | − | 0.338419i | ||||
\(899\) | 27.8758 | 0.929709 | ||||||||
\(900\) | −28.3672 | + | 9.76237i | −0.945572 | + | 0.325412i | ||||
\(901\) | −8.40011 | −0.279848 | ||||||||
\(902\) | 46.1860 | − | 39.8449i | 1.53783 | − | 1.32669i | ||||
\(903\) | 22.8591 | + | 23.5601i | 0.760703 | + | 0.784032i | ||||
\(904\) | 2.29378 | − | 35.9927i | 0.0762901 | − | 1.19710i | ||||
\(905\) | 12.3069 | + | 19.2615i | 0.409096 | + | 0.640275i | ||||
\(906\) | 43.4237 | + | 3.86074i | 1.44266 | + | 0.128265i | ||||
\(907\) | 10.5147i | 0.349134i | 0.984645 | + | 0.174567i | \(0.0558525\pi\) | ||||
−0.984645 | + | 0.174567i | \(0.944147\pi\) | |||||||
\(908\) | −18.6082 | − | 35.6411i | −0.617535 | − | 1.18279i | ||||
\(909\) | −32.5764 | − | 0.984191i | −1.08049 | − | 0.0326435i | ||||
\(910\) | −36.3582 | + | 12.7756i | −1.20526 | + | 0.423507i | ||||
\(911\) | 0.659734 | − | 0.479325i | 0.0218579 | − | 0.0158807i | −0.576803 | − | 0.816884i | \(-0.695700\pi\) |
0.598661 | + | 0.801003i | \(0.295700\pi\) | |||||||
\(912\) | −15.6474 | − | 15.4991i | −0.518138 | − | 0.513228i | ||||
\(913\) | 42.9627 | + | 31.2142i | 1.42186 | + | 1.03304i | ||||
\(914\) | −10.5718 | − | 12.2543i | −0.349685 | − | 0.405335i | ||||
\(915\) | 36.5390 | − | 3.01097i | 1.20794 | − | 0.0995395i | ||||
\(916\) | 38.3815 | + | 19.0786i | 1.26816 | + | 0.630375i | ||||
\(917\) | 50.4709 | − | 16.3990i | 1.66670 | − | 0.541542i | ||||
\(918\) | −14.3292 | + | 2.83435i | −0.472935 | + | 0.0935475i | ||||
\(919\) | 29.6555 | − | 9.63567i | 0.978246 | − | 0.317851i | 0.224106 | − | 0.974565i | \(-0.428054\pi\) |
0.754140 | + | 0.656713i | \(0.228054\pi\) | |||||||
\(920\) | 0.964223 | − | 7.77392i | 0.0317895 | − | 0.256298i | ||||
\(921\) | 12.3483 | − | 11.9808i | 0.406889 | − | 0.394782i | ||||
\(922\) | −11.2189 | + | 47.7739i | −0.369475 | + | 1.57335i | ||||
\(923\) | 14.0916 | − | 10.2381i | 0.463830 | − | 0.336992i | ||||
\(924\) | 43.2470 | + | 14.2994i | 1.42272 | + | 0.470417i | ||||
\(925\) | −18.2122 | − | 2.18714i | −0.598814 | − | 0.0719129i | ||||
\(926\) | −3.96706 | + | 0.332043i | −0.130366 | + | 0.0109116i | ||||
\(927\) | −12.5804 | + | 35.0770i | −0.413195 | + | 1.15208i | ||||
\(928\) | 1.67258 | + | 16.1232i | 0.0549052 | + | 0.529270i | ||||
\(929\) | −37.8470 | − | 12.2972i | −1.24172 | − | 0.403460i | −0.386774 | − | 0.922175i | \(-0.626411\pi\) |
−0.854947 | + | 0.518715i | \(0.826411\pi\) | |||||||
\(930\) | −24.5993 | − | 47.2644i | −0.806644 | − | 1.54986i | ||||
\(931\) | −20.8667 | + | 6.78002i | −0.683880 | + | 0.222206i | ||||
\(932\) | 4.41465 | + | 26.1871i | 0.144607 | + | 0.857787i | ||||
\(933\) | 32.7149 | + | 5.68922i | 1.07104 | + | 0.186257i | ||||
\(934\) | −28.5363 | + | 47.0903i | −0.933737 | + | 1.54084i | ||||
\(935\) | 5.72550 | − | 14.5918i | 0.187244 | − | 0.477202i | ||||
\(936\) | 2.59889 | − | 27.6119i | 0.0849474 | − | 0.902524i | ||||
\(937\) | 12.5857 | + | 9.14401i | 0.411155 | + | 0.298722i | 0.774069 | − | 0.633101i | \(-0.218218\pi\) |
−0.362914 | + | 0.931823i | \(0.618218\pi\) | |||||||
\(938\) | −39.5905 | + | 65.3319i | −1.29268 | + | 2.13316i | ||||
\(939\) | 2.90348 | + | 20.3126i | 0.0947515 | + | 0.662876i | ||||
\(940\) | −8.82883 | − | 1.85328i | −0.287965 | − | 0.0604474i | ||||
\(941\) | 9.44823 | − | 13.0044i | 0.308003 | − | 0.423930i | −0.626754 | − | 0.779217i | \(-0.715617\pi\) |
0.934757 | + | 0.355287i | \(0.115617\pi\) | |||||||
\(942\) | −1.04394 | + | 11.7417i | −0.0340132 | + | 0.382564i | ||||
\(943\) | − | 15.1484i | − | 0.493301i | ||||||
\(944\) | −7.54122 | − | 9.95753i | −0.245446 | − | 0.324090i | ||||
\(945\) | −36.3244 | − | 23.6071i | −1.18163 | − | 0.767939i | ||||
\(946\) | 5.79577 | − | 24.6804i | 0.188437 | − | 0.802428i | ||||
\(947\) | 7.05943 | − | 21.7267i | 0.229401 | − | 0.706022i | −0.768414 | − | 0.639953i | \(-0.778954\pi\) |
0.997815 | − | 0.0660698i | \(-0.0210460\pi\) | |||||||
\(948\) | 33.3136 | − | 10.6341i | 1.08197 | − | 0.345381i | ||||
\(949\) | 22.7370 | 0.738074 | ||||||||
\(950\) | −22.4638 | − | 0.809369i | −0.728821 | − | 0.0262594i | ||||
\(951\) | −28.4941 | − | 15.0647i | −0.923983 | − | 0.488506i | ||||
\(952\) | −16.1410 | − | 13.3751i | −0.523133 | − | 0.433488i | ||||
\(953\) | 13.2047 | + | 4.29046i | 0.427742 | + | 0.138982i | 0.514973 | − | 0.857206i | \(-0.327802\pi\) |
−0.0872314 | + | 0.996188i | \(0.527802\pi\) | |||||||
\(954\) | 16.7323 | − | 6.44104i | 0.541728 | − | 0.208536i | ||||
\(955\) | 17.2969 | + | 6.78695i | 0.559715 | + | 0.219620i | ||||
\(956\) | −16.8866 | − | 32.3437i | −0.546152 | − | 1.04607i | ||||
\(957\) | −15.4738 | − | 8.18093i | −0.500196 | − | 0.264452i | ||||
\(958\) | −31.5174 | + | 13.2387i | −1.01828 | + | 0.427721i | ||||
\(959\) | −14.7147 | − | 10.6908i | −0.475162 | − | 0.345225i | ||||
\(960\) | 25.8615 | − | 17.0641i | 0.834677 | − | 0.550740i | ||||
\(961\) | 51.4818 | − | 37.4037i | 1.66070 | − | 1.20657i | ||||
\(962\) | 8.78839 | − | 14.5025i | 0.283349 | − | 0.467579i | ||||
\(963\) | 0.368214 | − | 12.1878i | 0.0118655 | − | 0.392746i | ||||
\(964\) | −3.89929 | + | 3.97752i | −0.125588 | + | 0.128107i | ||||
\(965\) | −48.8110 | + | 12.6925i | −1.57128 | + | 0.408586i | ||||
\(966\) | 9.70444 | − | 5.81242i | 0.312235 | − | 0.187012i | ||||
\(967\) | 15.7376 | − | 5.11345i | 0.506086 | − | 0.164437i | −0.0448355 | − | 0.998994i | \(-0.514276\pi\) |
0.550921 | + | 0.834557i | \(0.314276\pi\) | |||||||
\(968\) | −1.00762 | − | 3.93766i | −0.0323860 | − | 0.126561i | ||||
\(969\) | −10.7828 | − | 1.87515i | −0.346393 | − | 0.0602386i | ||||
\(970\) | −6.13320 | + | 4.68249i | −0.196925 | + | 0.150346i | ||||
\(971\) | −10.0595 | + | 30.9600i | −0.322826 | + | 0.993555i | 0.649587 | + | 0.760287i | \(0.274942\pi\) |
−0.972413 | + | 0.233268i | \(0.925058\pi\) | |||||||
\(972\) | 26.3693 | − | 16.6331i | 0.845795 | − | 0.533508i | ||||
\(973\) | 52.8433 | − | 38.3929i | 1.69408 | − | 1.23082i | ||||
\(974\) | −32.1962 | + | 2.69483i | −1.03163 | + | 0.0863478i | ||||
\(975\) | −17.1478 | − | 22.5205i | −0.549170 | − | 0.721234i | ||||
\(976\) | −35.7725 | + | 12.4139i | −1.14505 | + | 0.397360i | ||||
\(977\) | −10.5572 | − | 14.5307i | −0.337754 | − | 0.464878i | 0.606030 | − | 0.795442i | \(-0.292761\pi\) |
−0.943784 | + | 0.330564i | \(0.892761\pi\) | |||||||
\(978\) | 18.8475 | + | 16.4306i | 0.602677 | + | 0.525392i | ||||
\(979\) | −10.6547 | − | 3.46194i | −0.340527 | − | 0.110644i | ||||
\(980\) | −3.30409 | − | 30.6889i | −0.105545 | − | 0.980321i | ||||
\(981\) | −13.3015 | + | 17.1913i | −0.424685 | + | 0.548875i | ||||
\(982\) | −1.04646 | − | 12.5025i | −0.0333939 | − | 0.398971i | ||||
\(983\) | 13.7089 | + | 42.1918i | 0.437247 | + | 1.34571i | 0.890766 | + | 0.454462i | \(0.150169\pi\) |
−0.453519 | + | 0.891247i | \(0.649831\pi\) | |||||||
\(984\) | 45.5690 | − | 38.9035i | 1.45269 | − | 1.24020i | ||||
\(985\) | 33.6659 | + | 2.01427i | 1.07268 | + | 0.0641799i | ||||
\(986\) | 5.26178 | + | 6.09916i | 0.167569 | + | 0.194237i | ||||
\(987\) | −5.73825 | − | 11.6953i | −0.182651 | − | 0.372264i | ||||
\(988\) | 9.24979 | − | 18.6083i | 0.294275 | − | 0.592009i | ||||
\(989\) | −3.70065 | − | 5.09351i | −0.117674 | − | 0.161964i | ||||
\(990\) | −0.216028 | + | 33.4557i | −0.00686582 | + | 1.06329i | ||||
\(991\) | 3.74418 | − | 5.15342i | 0.118938 | − | 0.163704i | −0.745397 | − | 0.666621i | \(-0.767740\pi\) |
0.864335 | + | 0.502917i | \(0.167740\pi\) | |||||||
\(992\) | 36.7671 | + | 40.9451i | 1.16736 | + | 1.30001i | ||||
\(993\) | 20.8887 | + | 11.0438i | 0.662882 | + | 0.350463i | ||||
\(994\) | 10.8822 | + | 25.9074i | 0.345164 | + | 0.821734i | ||||
\(995\) | 1.36690 | + | 5.25665i | 0.0433338 | + | 0.166647i | ||||
\(996\) | 42.0420 | + | 30.8787i | 1.33215 | + | 0.978429i | ||||
\(997\) | −7.33012 | + | 22.5598i | −0.232147 | + | 0.714475i | 0.765340 | + | 0.643626i | \(0.222571\pi\) |
−0.997487 | + | 0.0708490i | \(0.977429\pi\) | |||||||
\(998\) | −7.60293 | + | 6.55908i | −0.240666 | + | 0.207624i | ||||
\(999\) | 18.9437 | − | 2.12631i | 0.599353 | − | 0.0672736i |
(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 | 300.2.n.a.11.16 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.41 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.19 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.38 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.38 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.19 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.41 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.16 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.16 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.19 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.38 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.41 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.16 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.19 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.38 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.41 | yes | 224 | 100.91 | odd | 10 | inner |