Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 127.25 | ||
Character | \(\chi\) | \(=\) | 300.127 |
Dual form | 300.2.w.a.163.25 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.18105 | + | 0.777895i | 0.835129 | + | 0.550055i | ||||
\(3\) | −0.891007 | + | 0.453990i | −0.514423 | + | 0.262112i | ||||
\(4\) | 0.789760 | + | 1.83747i | 0.394880 | + | 0.918733i | ||||
\(5\) | 2.16584 | − | 0.556007i | 0.968592 | − | 0.248654i | ||||
\(6\) | −1.40548 | − | 0.156924i | −0.573785 | − | 0.0640638i | ||||
\(7\) | 3.13412 | − | 3.13412i | 1.18459 | − | 1.18459i | 0.206043 | − | 0.978543i | \(-0.433941\pi\) |
0.978543 | − | 0.206043i | \(-0.0660586\pi\) | |||||||
\(8\) | −0.496609 | + | 2.78449i | −0.175578 | + | 0.984466i | ||||
\(9\) | 0.587785 | − | 0.809017i | 0.195928 | − | 0.269672i | ||||
\(10\) | 2.99048 | + | 1.02812i | 0.945672 | + | 0.325121i | ||||
\(11\) | 0.0527296 | + | 0.0725760i | 0.0158986 | + | 0.0218825i | 0.816892 | − | 0.576790i | \(-0.195695\pi\) |
−0.800994 | + | 0.598673i | \(0.795695\pi\) | |||||||
\(12\) | −1.53787 | − | 1.27865i | −0.443946 | − | 0.369115i | ||||
\(13\) | −5.12177 | + | 0.811209i | −1.42052 | + | 0.224989i | −0.818967 | − | 0.573841i | \(-0.805453\pi\) |
−0.601557 | + | 0.798830i | \(0.705453\pi\) | |||||||
\(14\) | 6.13957 | − | 1.26354i | 1.64087 | − | 0.337695i | ||||
\(15\) | −1.67735 | + | 1.47868i | −0.433091 | + | 0.381792i | ||||
\(16\) | −2.75256 | + | 2.90231i | −0.688140 | + | 0.725578i | ||||
\(17\) | −1.36594 | + | 2.68082i | −0.331290 | + | 0.650193i | −0.995226 | − | 0.0975960i | \(-0.968885\pi\) |
0.663936 | + | 0.747789i | \(0.268885\pi\) | |||||||
\(18\) | 1.32353 | − | 0.498255i | 0.311960 | − | 0.117440i | ||||
\(19\) | 0.464955 | + | 1.43098i | 0.106668 | + | 0.328290i | 0.990118 | − | 0.140235i | \(-0.0447857\pi\) |
−0.883450 | + | 0.468525i | \(0.844786\pi\) | |||||||
\(20\) | 2.73213 | + | 3.54054i | 0.610924 | + | 0.791689i | ||||
\(21\) | −1.36966 | + | 4.21538i | −0.298884 | + | 0.919871i | ||||
\(22\) | 0.00581977 | + | 0.126734i | 0.00124078 | + | 0.0270198i | ||||
\(23\) | 2.09335 | + | 0.331555i | 0.436494 | + | 0.0691339i | 0.370815 | − | 0.928707i | \(-0.379078\pi\) |
0.0656796 | + | 0.997841i | \(0.479078\pi\) | |||||||
\(24\) | −0.821650 | − | 2.70645i | −0.167719 | − | 0.552453i | ||||
\(25\) | 4.38171 | − | 2.40844i | 0.876343 | − | 0.481688i | ||||
\(26\) | −6.68011 | − | 3.02612i | −1.31008 | − | 0.593471i | ||||
\(27\) | −0.156434 | + | 0.987688i | −0.0301058 | + | 0.190081i | ||||
\(28\) | 8.23404 | + | 3.28364i | 1.55609 | + | 0.620549i | ||||
\(29\) | −6.04881 | − | 1.96538i | −1.12324 | − | 0.364962i | −0.312235 | − | 0.950005i | \(-0.601078\pi\) |
−0.811002 | + | 0.585043i | \(0.801078\pi\) | |||||||
\(30\) | −3.13129 | + | 0.441585i | −0.571693 | + | 0.0806220i | ||||
\(31\) | −3.95945 | + | 1.28650i | −0.711139 | + | 0.231063i | −0.642177 | − | 0.766556i | \(-0.721969\pi\) |
−0.0689619 | + | 0.997619i | \(0.521969\pi\) | |||||||
\(32\) | −5.50860 | + | 1.28658i | −0.973793 | + | 0.227436i | ||||
\(33\) | −0.0799312 | − | 0.0407270i | −0.0139142 | − | 0.00708966i | ||||
\(34\) | −3.69864 | + | 2.10362i | −0.634312 | + | 0.360768i | ||||
\(35\) | 5.04540 | − | 8.53059i | 0.852829 | − | 1.44193i | ||||
\(36\) | 1.95075 | + | 0.441106i | 0.325125 | + | 0.0735177i | ||||
\(37\) | −1.26010 | − | 7.95598i | −0.207160 | − | 1.30796i | −0.843743 | − | 0.536747i | \(-0.819653\pi\) |
0.636583 | − | 0.771208i | \(-0.280347\pi\) | |||||||
\(38\) | −0.564019 | + | 2.05175i | −0.0914960 | + | 0.332838i | ||||
\(39\) | 4.19525 | − | 3.04803i | 0.671778 | − | 0.488075i | ||||
\(40\) | 0.472619 | + | 6.30687i | 0.0747277 | + | 0.997204i | ||||
\(41\) | 8.23695 | + | 5.98450i | 1.28640 | + | 0.934621i | 0.999726 | − | 0.0234081i | \(-0.00745171\pi\) |
0.286670 | + | 0.958029i | \(0.407452\pi\) | |||||||
\(42\) | −4.89676 | + | 3.91313i | −0.755586 | + | 0.603808i | ||||
\(43\) | −7.85946 | − | 7.85946i | −1.19856 | − | 1.19856i | −0.974599 | − | 0.223957i | \(-0.928103\pi\) |
−0.223957 | − | 0.974599i | \(-0.571897\pi\) | |||||||
\(44\) | −0.0917123 | + | 0.154206i | −0.0138261 | + | 0.0232475i | ||||
\(45\) | 0.823229 | − | 2.07901i | 0.122720 | − | 0.309921i | ||||
\(46\) | 2.21444 | + | 2.01999i | 0.326501 | + | 0.297831i | ||||
\(47\) | −3.49688 | − | 6.86301i | −0.510072 | − | 1.00107i | −0.992163 | − | 0.124952i | \(-0.960122\pi\) |
0.482091 | − | 0.876121i | \(-0.339878\pi\) | |||||||
\(48\) | 1.13493 | − | 3.83561i | 0.163813 | − | 0.553623i | ||||
\(49\) | − | 12.6454i | − | 1.80649i | ||||||
\(50\) | 7.04854 | + | 0.564022i | 0.996814 | + | 0.0797647i | ||||
\(51\) | − | 3.00875i | − | 0.421309i | ||||||
\(52\) | −5.53554 | − | 8.77042i | −0.767641 | − | 1.21624i | ||||
\(53\) | 1.47153 | + | 2.88805i | 0.202131 | + | 0.396704i | 0.969713 | − | 0.244246i | \(-0.0785406\pi\) |
−0.767583 | + | 0.640950i | \(0.778541\pi\) | |||||||
\(54\) | −0.953075 | + | 1.04482i | −0.129697 | + | 0.142182i | ||||
\(55\) | 0.154557 | + | 0.127870i | 0.0208404 | + | 0.0172420i | ||||
\(56\) | 7.17049 | + | 10.2834i | 0.958197 | + | 1.37417i | ||||
\(57\) | −1.06393 | − | 1.06393i | −0.140921 | − | 0.140921i | ||||
\(58\) | −5.61510 | − | 7.02655i | −0.737298 | − | 0.922632i | ||||
\(59\) | 11.4383 | + | 8.31042i | 1.48914 | + | 1.08192i | 0.974465 | + | 0.224539i | \(0.0720877\pi\) |
0.514676 | + | 0.857385i | \(0.327912\pi\) | |||||||
\(60\) | −4.04172 | − | 1.91428i | −0.521784 | − | 0.247133i | ||||
\(61\) | −9.26103 | + | 6.72853i | −1.18575 | + | 0.861500i | −0.992809 | − | 0.119710i | \(-0.961804\pi\) |
−0.192944 | + | 0.981210i | \(0.561804\pi\) | |||||||
\(62\) | −5.67708 | − | 1.56061i | −0.720990 | − | 0.198198i | ||||
\(63\) | −0.693367 | − | 4.37774i | −0.0873560 | − | 0.551544i | ||||
\(64\) | −7.50676 | − | 2.76560i | −0.938345 | − | 0.345701i | ||||
\(65\) | −10.6419 | + | 4.60469i | −1.31996 | + | 0.571141i | ||||
\(66\) | −0.0627215 | − | 0.110279i | −0.00772048 | − | 0.0135744i | ||||
\(67\) | 1.84223 | + | 0.938661i | 0.225064 | + | 0.114676i | 0.562887 | − | 0.826534i | \(-0.309691\pi\) |
−0.337823 | + | 0.941210i | \(0.609691\pi\) | |||||||
\(68\) | −6.00467 | − | 0.392675i | −0.728174 | − | 0.0476188i | ||||
\(69\) | −2.01571 | + | 0.654945i | −0.242663 | + | 0.0788461i | ||||
\(70\) | 12.5948 | − | 6.15026i | 1.50536 | − | 0.735096i | ||||
\(71\) | −2.37497 | − | 0.771676i | −0.281857 | − | 0.0915810i | 0.164677 | − | 0.986348i | \(-0.447342\pi\) |
−0.446534 | + | 0.894767i | \(0.647342\pi\) | |||||||
\(72\) | 1.96080 | + | 2.03845i | 0.231082 | + | 0.240233i | ||||
\(73\) | 1.16183 | − | 7.33551i | 0.135982 | − | 0.858556i | −0.821531 | − | 0.570164i | \(-0.806880\pi\) |
0.957513 | − | 0.288392i | \(-0.0931205\pi\) | |||||||
\(74\) | 4.70067 | − | 10.3766i | 0.546442 | − | 1.20626i | ||||
\(75\) | −2.81073 | + | 4.13519i | −0.324555 | + | 0.477491i | ||||
\(76\) | −2.26218 | + | 1.98447i | −0.259490 | + | 0.227634i | ||||
\(77\) | 0.392723 | + | 0.0622012i | 0.0447549 | + | 0.00708848i | ||||
\(78\) | 7.32585 | − | 0.336411i | 0.829489 | − | 0.0380911i | ||||
\(79\) | −0.395606 | + | 1.21755i | −0.0445091 | + | 0.136985i | −0.970842 | − | 0.239722i | \(-0.922944\pi\) |
0.926332 | + | 0.376707i | \(0.122944\pi\) | |||||||
\(80\) | −4.34789 | + | 7.81638i | −0.486109 | + | 0.873898i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | 5.07295 | + | 13.4755i | 0.560213 | + | 1.48812i | ||||
\(83\) | 1.03260 | − | 2.02659i | 0.113343 | − | 0.222447i | −0.827366 | − | 0.561663i | \(-0.810162\pi\) |
0.940709 | + | 0.339216i | \(0.110162\pi\) | |||||||
\(84\) | −8.82732 | + | 0.812434i | −0.963140 | + | 0.0886438i | ||||
\(85\) | −1.46786 | + | 6.56569i | −0.159212 | + | 0.712149i | ||||
\(86\) | −3.16858 | − | 15.3962i | −0.341677 | − | 1.66022i | ||||
\(87\) | 6.28180 | − | 0.994939i | 0.673479 | − | 0.106669i | ||||
\(88\) | −0.228273 | + | 0.110783i | −0.0243340 | + | 0.0118095i | ||||
\(89\) | 7.66814 | + | 10.5543i | 0.812821 | + | 1.11875i | 0.990882 | + | 0.134733i | \(0.0430177\pi\) |
−0.178061 | + | 0.984020i | \(0.556982\pi\) | |||||||
\(90\) | 2.58953 | − | 1.81503i | 0.272960 | − | 0.191321i | ||||
\(91\) | −13.5098 | + | 18.5947i | −1.41621 | + | 1.94925i | ||||
\(92\) | 1.04403 | + | 4.10831i | 0.108847 | + | 0.428321i | ||||
\(93\) | 2.94384 | − | 2.94384i | 0.305262 | − | 0.305262i | ||||
\(94\) | 1.20871 | − | 10.8258i | 0.124669 | − | 1.11659i | ||||
\(95\) | 1.80265 | + | 2.84076i | 0.184948 | + | 0.291456i | ||||
\(96\) | 4.32411 | − | 3.64720i | 0.441328 | − | 0.372241i | ||||
\(97\) | 3.93972 | − | 2.00739i | 0.400018 | − | 0.203819i | −0.242396 | − | 0.970177i | \(-0.577933\pi\) |
0.642413 | + | 0.766358i | \(0.277933\pi\) | |||||||
\(98\) | 9.83679 | − | 14.9349i | 0.993666 | − | 1.50865i | ||||
\(99\) | 0.0897089 | 0.00901609 | ||||||||
\(100\) | 7.88593 | + | 6.14916i | 0.788593 | + | 0.614916i | ||||
\(101\) | 6.81825 | 0.678442 | 0.339221 | − | 0.940707i | \(-0.389837\pi\) | ||||
0.339221 | + | 0.940707i | \(0.389837\pi\) | |||||||
\(102\) | 2.34049 | − | 3.55349i | 0.231743 | − | 0.351847i | ||||
\(103\) | −2.20599 | + | 1.12401i | −0.217363 | + | 0.110752i | −0.559282 | − | 0.828978i | \(-0.688923\pi\) |
0.341919 | + | 0.939729i | \(0.388923\pi\) | |||||||
\(104\) | 0.284716 | − | 14.6644i | 0.0279187 | − | 1.43796i | ||||
\(105\) | −0.622683 | + | 9.89137i | −0.0607677 | + | 0.965299i | ||||
\(106\) | −0.508641 | + | 4.55562i | −0.0494036 | + | 0.442481i | ||||
\(107\) | 2.71179 | − | 2.71179i | 0.262159 | − | 0.262159i | −0.563772 | − | 0.825931i | \(-0.690650\pi\) |
0.825931 | + | 0.563772i | \(0.190650\pi\) | |||||||
\(108\) | −1.93839 | + | 0.492593i | −0.186522 | + | 0.0473998i | ||||
\(109\) | 4.04353 | − | 5.56544i | 0.387300 | − | 0.533072i | −0.570200 | − | 0.821506i | \(-0.693134\pi\) |
0.957500 | + | 0.288433i | \(0.0931344\pi\) | |||||||
\(110\) | 0.0830696 | + | 0.271250i | 0.00792038 | + | 0.0258626i | ||||
\(111\) | 4.73470 | + | 6.51676i | 0.449398 | + | 0.618543i | ||||
\(112\) | 0.469342 | + | 17.7230i | 0.0443487 | + | 1.67467i | ||||
\(113\) | −11.4626 | + | 1.81550i | −1.07831 | + | 0.170788i | −0.670228 | − | 0.742155i | \(-0.733804\pi\) |
−0.408086 | + | 0.912943i | \(0.633804\pi\) | |||||||
\(114\) | −0.428929 | − | 2.08418i | −0.0401729 | − | 0.195201i | ||||
\(115\) | 4.71821 | − | 0.445824i | 0.439975 | − | 0.0415733i | ||||
\(116\) | −1.16579 | − | 12.6667i | −0.108241 | − | 1.17607i | ||||
\(117\) | −2.35422 | + | 4.62042i | −0.217648 | + | 0.427158i | ||||
\(118\) | 7.04459 | + | 18.7128i | 0.648507 | + | 1.72265i | ||||
\(119\) | 4.12097 | + | 12.6830i | 0.377768 | + | 1.16265i | ||||
\(120\) | −3.28437 | − | 5.40490i | −0.299820 | − | 0.493398i | ||||
\(121\) | 3.39670 | − | 10.4540i | 0.308791 | − | 0.950361i | ||||
\(122\) | −16.1718 | + | 0.742628i | −1.46413 | + | 0.0672344i | ||||
\(123\) | −10.0561 | − | 1.59273i | −0.906726 | − | 0.143611i | ||||
\(124\) | −5.49093 | − | 6.25933i | −0.493100 | − | 0.562105i | ||||
\(125\) | 8.15097 | − | 7.65256i | 0.729045 | − | 0.684465i | ||||
\(126\) | 2.58652 | − | 5.70970i | 0.230426 | − | 0.508661i | ||||
\(127\) | 0.434901 | − | 2.74586i | 0.0385912 | − | 0.243655i | −0.960850 | − | 0.277068i | \(-0.910637\pi\) |
0.999442 | + | 0.0334122i | \(0.0106374\pi\) | |||||||
\(128\) | −6.71451 | − | 9.10579i | −0.593485 | − | 0.804845i | ||||
\(129\) | 10.5709 | + | 3.43471i | 0.930720 | + | 0.302409i | ||||
\(130\) | −16.1506 | − | 2.83991i | −1.41650 | − | 0.249076i | ||||
\(131\) | −11.7429 | + | 3.81550i | −1.02598 | + | 0.333361i | −0.773200 | − | 0.634162i | \(-0.781345\pi\) |
−0.252781 | + | 0.967524i | \(0.581345\pi\) | |||||||
\(132\) | 0.0117080 | − | 0.179035i | 0.00101905 | − | 0.0155830i | ||||
\(133\) | 5.94209 | + | 3.02765i | 0.515245 | + | 0.262530i | ||||
\(134\) | 1.44558 | + | 2.54166i | 0.124879 | + | 0.219566i | ||||
\(135\) | 0.210349 | + | 2.22615i | 0.0181040 | + | 0.191597i | ||||
\(136\) | −6.78636 | − | 5.13477i | −0.581926 | − | 0.440303i | ||||
\(137\) | 0.711394 | + | 4.49156i | 0.0607785 | + | 0.383740i | 0.999262 | + | 0.0384157i | \(0.0122311\pi\) |
−0.938483 | + | 0.345324i | \(0.887769\pi\) | |||||||
\(138\) | −2.89014 | − | 0.794490i | −0.246025 | − | 0.0676315i | ||||
\(139\) | −13.0231 | + | 9.46183i | −1.10460 | + | 0.802542i | −0.981805 | − | 0.189889i | \(-0.939187\pi\) |
−0.122799 | + | 0.992432i | \(0.539187\pi\) | |||||||
\(140\) | 19.6593 | + | 2.53365i | 1.66152 | + | 0.214132i | ||||
\(141\) | 6.23148 | + | 4.52744i | 0.524786 | + | 0.381279i | ||||
\(142\) | −2.20468 | − | 2.75887i | −0.185013 | − | 0.231519i | ||||
\(143\) | −0.328943 | − | 0.328943i | −0.0275076 | − | 0.0275076i | ||||
\(144\) | 0.730106 | + | 3.93280i | 0.0608422 | + | 0.327734i | ||||
\(145\) | −14.1935 | − | 0.893513i | −1.17871 | − | 0.0742022i | ||||
\(146\) | 7.07843 | − | 7.75982i | 0.585815 | − | 0.642207i | ||||
\(147\) | 5.74089 | + | 11.2671i | 0.473501 | + | 0.929298i | ||||
\(148\) | 13.6237 | − | 8.59871i | 1.11986 | − | 0.706810i | ||||
\(149\) | − | 2.90133i | − | 0.237686i | −0.992913 | − | 0.118843i | \(-0.962081\pi\) | ||
0.992913 | − | 0.118843i | \(-0.0379185\pi\) | |||||||
\(150\) | −6.53635 | + | 2.69742i | −0.533691 | + | 0.220244i | ||||
\(151\) | − | 4.02046i | − | 0.327180i | −0.986528 | − | 0.163590i | \(-0.947693\pi\) | ||
0.986528 | − | 0.163590i | \(-0.0523075\pi\) | |||||||
\(152\) | −4.21546 | + | 0.584022i | −0.341919 | + | 0.0473704i | ||||
\(153\) | 1.36594 | + | 2.68082i | 0.110430 | + | 0.216731i | ||||
\(154\) | 0.415439 | + | 0.378960i | 0.0334771 | + | 0.0305374i | ||||
\(155\) | −7.86024 | + | 4.98784i | −0.631349 | + | 0.400633i | ||||
\(156\) | 8.91389 | + | 5.30142i | 0.713682 | + | 0.424453i | ||||
\(157\) | −2.31475 | − | 2.31475i | −0.184737 | − | 0.184737i | 0.608679 | − | 0.793416i | \(-0.291700\pi\) |
−0.793416 | + | 0.608679i | \(0.791700\pi\) | |||||||
\(158\) | −1.41436 | + | 1.13025i | −0.112520 | + | 0.0899176i | ||||
\(159\) | −2.62229 | − | 1.90521i | −0.207961 | − | 0.151093i | ||||
\(160\) | −11.2154 | + | 5.84933i | −0.886656 | + | 0.462430i | ||||
\(161\) | 7.59995 | − | 5.52169i | 0.598960 | − | 0.435170i | ||||
\(162\) | 0.374857 | − | 1.36363i | 0.0294516 | − | 0.107137i | ||||
\(163\) | 1.04062 | + | 6.57021i | 0.0815075 | + | 0.514618i | 0.994337 | + | 0.106276i | \(0.0338929\pi\) |
−0.912829 | + | 0.408342i | \(0.866107\pi\) | |||||||
\(164\) | −4.49109 | + | 19.8614i | −0.350696 | + | 1.55092i | ||||
\(165\) | −0.195763 | − | 0.0437658i | −0.0152401 | − | 0.00340716i | ||||
\(166\) | 2.79603 | − | 1.59025i | 0.217014 | − | 0.123428i | ||||
\(167\) | 2.62863 | + | 1.33936i | 0.203410 | + | 0.103642i | 0.552728 | − | 0.833362i | \(-0.313587\pi\) |
−0.349318 | + | 0.937004i | \(0.613587\pi\) | |||||||
\(168\) | −11.0575 | − | 5.90720i | −0.853104 | − | 0.455750i | ||||
\(169\) | 13.2108 | − | 4.29244i | 1.01621 | − | 0.330187i | ||||
\(170\) | −6.84103 | + | 6.61257i | −0.524683 | + | 0.507161i | ||||
\(171\) | 1.43098 | + | 0.464955i | 0.109430 | + | 0.0355560i | ||||
\(172\) | 8.23440 | − | 20.6486i | 0.627867 | − | 1.57444i | ||||
\(173\) | −1.01770 | + | 6.42548i | −0.0773739 | + | 0.488520i | 0.918322 | + | 0.395835i | \(0.129545\pi\) |
−0.995696 | + | 0.0926847i | \(0.970455\pi\) | |||||||
\(174\) | 8.19308 | + | 3.71150i | 0.621115 | + | 0.281368i | ||||
\(175\) | 6.18447 | − | 21.2812i | 0.467502 | − | 1.60870i | ||||
\(176\) | −0.355780 | − | 0.0467322i | −0.0268179 | − | 0.00352257i | ||||
\(177\) | −13.9645 | − | 2.21175i | −1.04963 | − | 0.166246i | ||||
\(178\) | 0.846333 | + | 18.4302i | 0.0634354 | + | 1.38140i | ||||
\(179\) | −2.84051 | + | 8.74220i | −0.212310 | + | 0.653423i | 0.787024 | + | 0.616923i | \(0.211621\pi\) |
−0.999334 | + | 0.0364999i | \(0.988379\pi\) | |||||||
\(180\) | 4.47027 | − | 0.129265i | 0.333194 | − | 0.00963484i | ||||
\(181\) | 1.42108 | + | 4.37363i | 0.105628 | + | 0.325090i | 0.989877 | − | 0.141925i | \(-0.0453293\pi\) |
−0.884249 | + | 0.467015i | \(0.845329\pi\) | |||||||
\(182\) | −30.4205 | + | 11.4520i | −2.25492 | + | 0.848881i | ||||
\(183\) | 5.19695 | − | 10.1996i | 0.384169 | − | 0.753975i | ||||
\(184\) | −1.96279 | + | 5.66427i | −0.144699 | + | 0.417575i | ||||
\(185\) | −7.15276 | − | 16.5307i | −0.525881 | − | 1.21536i | ||||
\(186\) | 5.76682 | − | 1.18683i | 0.422844 | − | 0.0870222i | ||||
\(187\) | −0.266589 | + | 0.0422235i | −0.0194949 | + | 0.00308769i | ||||
\(188\) | 9.84885 | − | 11.8455i | 0.718302 | − | 0.863924i | ||||
\(189\) | 2.60525 | + | 3.58582i | 0.189504 | + | 0.260830i | ||||
\(190\) | −0.0807892 | + | 4.75735i | −0.00586107 | + | 0.345135i | ||||
\(191\) | −2.40696 | + | 3.31289i | −0.174161 | + | 0.239712i | −0.887170 | − | 0.461443i | \(-0.847332\pi\) |
0.713009 | + | 0.701155i | \(0.247332\pi\) | |||||||
\(192\) | 7.94413 | − | 0.943825i | 0.573318 | − | 0.0681147i | ||||
\(193\) | −11.4434 | + | 11.4434i | −0.823717 | + | 0.823717i | −0.986639 | − | 0.162922i | \(-0.947908\pi\) |
0.162922 | + | 0.986639i | \(0.447908\pi\) | |||||||
\(194\) | 6.21454 | + | 0.693861i | 0.446178 | + | 0.0498164i | ||||
\(195\) | 7.39151 | − | 8.93413i | 0.529317 | − | 0.639786i | ||||
\(196\) | 23.2355 | − | 9.98683i | 1.65968 | − | 0.713345i | ||||
\(197\) | 7.67379 | − | 3.90999i | 0.546735 | − | 0.278575i | −0.158728 | − | 0.987322i | \(-0.550739\pi\) |
0.705463 | + | 0.708747i | \(0.250739\pi\) | |||||||
\(198\) | 0.105951 | + | 0.0697841i | 0.00752959 | + | 0.00495934i | ||||
\(199\) | 21.3364 | 1.51250 | 0.756249 | − | 0.654284i | \(-0.227030\pi\) | ||||
0.756249 | + | 0.654284i | \(0.227030\pi\) | |||||||
\(200\) | 4.53028 | + | 13.3969i | 0.320339 | + | 0.947303i | ||||
\(201\) | −2.06758 | −0.145836 | ||||||||
\(202\) | 8.05270 | + | 5.30388i | 0.566586 | + | 0.373180i | ||||
\(203\) | −25.1174 | + | 12.7980i | −1.76290 | + | 0.898242i | ||||
\(204\) | 5.52848 | − | 2.37619i | 0.387071 | − | 0.166367i | ||||
\(205\) | 21.1673 | + | 8.38165i | 1.47839 | + | 0.585400i | ||||
\(206\) | −3.47975 | − | 0.388518i | −0.242445 | − | 0.0270693i | ||||
\(207\) | 1.49868 | − | 1.49868i | 0.104165 | − | 0.104165i | ||||
\(208\) | 11.7436 | − | 17.0979i | 0.814272 | − | 1.18553i | ||||
\(209\) | −0.0793382 | + | 0.109200i | −0.00548794 | + | 0.00755350i | ||||
\(210\) | −8.42987 | + | 11.1978i | −0.581716 | + | 0.772724i | ||||
\(211\) | 15.1542 | + | 20.8580i | 1.04326 | + | 1.43592i | 0.894511 | + | 0.447047i | \(0.147524\pi\) |
0.148748 | + | 0.988875i | \(0.452476\pi\) | |||||||
\(212\) | −4.14453 | + | 4.98475i | −0.284647 | + | 0.342354i | ||||
\(213\) | 2.46645 | − | 0.390647i | 0.168998 | − | 0.0267667i | ||||
\(214\) | 5.31225 | − | 1.09327i | 0.363138 | − | 0.0747347i | ||||
\(215\) | −21.3922 | − | 12.6524i | −1.45894 | − | 0.862887i | ||||
\(216\) | −2.67252 | − | 0.926085i | −0.181842 | − | 0.0630121i | ||||
\(217\) | −8.37734 | + | 16.4415i | −0.568691 | + | 1.11612i | ||||
\(218\) | 9.10493 | − | 3.42762i | 0.616664 | − | 0.232148i | ||||
\(219\) | 2.29505 | + | 7.06344i | 0.155085 | + | 0.477303i | ||||
\(220\) | −0.112894 | + | 0.384979i | −0.00761133 | + | 0.0259553i | ||||
\(221\) | 4.82135 | − | 14.8386i | 0.324319 | − | 0.998152i | ||||
\(222\) | 0.522569 | + | 11.3797i | 0.0350725 | + | 0.763756i | ||||
\(223\) | 24.4327 | + | 3.86975i | 1.63613 | + | 0.259138i | 0.905722 | − | 0.423872i | \(-0.139329\pi\) |
0.730410 | + | 0.683009i | \(0.239329\pi\) | |||||||
\(224\) | −13.2323 | + | 21.2969i | −0.884123 | + | 1.42296i | ||||
\(225\) | 0.627037 | − | 4.96053i | 0.0418024 | − | 0.330702i | ||||
\(226\) | −14.9502 | − | 6.77253i | −0.994474 | − | 0.450502i | ||||
\(227\) | −2.96964 | + | 18.7496i | −0.197102 | + | 1.24445i | 0.668496 | + | 0.743715i | \(0.266938\pi\) |
−0.865598 | + | 0.500739i | \(0.833062\pi\) | |||||||
\(228\) | 1.11469 | − | 2.79518i | 0.0738219 | − | 0.185116i | ||||
\(229\) | 3.82659 | + | 1.24333i | 0.252868 | + | 0.0821618i | 0.432708 | − | 0.901534i | \(-0.357558\pi\) |
−0.179840 | + | 0.983696i | \(0.557558\pi\) | |||||||
\(230\) | 5.91925 | + | 3.14373i | 0.390304 | + | 0.207291i | ||||
\(231\) | −0.378157 | + | 0.122871i | −0.0248809 | + | 0.00808430i | ||||
\(232\) | 8.47647 | − | 15.8668i | 0.556508 | − | 1.04171i | ||||
\(233\) | 4.12528 | + | 2.10194i | 0.270256 | + | 0.137702i | 0.583867 | − | 0.811849i | \(-0.301539\pi\) |
−0.313611 | + | 0.949552i | \(0.601539\pi\) | |||||||
\(234\) | −6.37465 | + | 3.62561i | −0.416724 | + | 0.237014i | ||||
\(235\) | −11.3896 | − | 12.9199i | −0.742973 | − | 0.842801i | ||||
\(236\) | −6.23659 | + | 27.5807i | −0.405968 | + | 1.79535i | ||||
\(237\) | −0.200268 | − | 1.26445i | −0.0130088 | − | 0.0821346i | ||||
\(238\) | −4.99899 | + | 18.1850i | −0.324037 | + | 1.17876i | ||||
\(239\) | 16.3162 | − | 11.8544i | 1.05541 | − | 0.766798i | 0.0821734 | − | 0.996618i | \(-0.473814\pi\) |
0.973233 | + | 0.229820i | \(0.0738139\pi\) | |||||||
\(240\) | 0.325440 | − | 8.93835i | 0.0210071 | − | 0.576968i | ||||
\(241\) | 5.43945 | + | 3.95199i | 0.350386 | + | 0.254570i | 0.749031 | − | 0.662535i | \(-0.230519\pi\) |
−0.398645 | + | 0.917105i | \(0.630519\pi\) | |||||||
\(242\) | 12.1438 | − | 9.70439i | 0.780630 | − | 0.623822i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −19.6774 | − | 11.7029i | −1.25972 | − | 0.749201i | ||||
\(245\) | −7.03093 | − | 27.3879i | −0.449190 | − | 1.74975i | ||||
\(246\) | −10.6378 | − | 9.70366i | −0.678239 | − | 0.618683i | ||||
\(247\) | −3.54222 | − | 6.95199i | −0.225386 | − | 0.442345i | ||||
\(248\) | −1.61596 | − | 11.6639i | −0.102613 | − | 0.740662i | ||||
\(249\) | 2.27450i | 0.144140i | ||||||||
\(250\) | 15.5796 | − | 2.69745i | 0.985340 | − | 0.170602i | ||||
\(251\) | − | 27.0687i | − | 1.70856i | −0.519811 | − | 0.854282i | \(-0.673997\pi\) | ||
0.519811 | − | 0.854282i | \(-0.326003\pi\) | |||||||
\(252\) | 7.49636 | − | 4.73140i | 0.472226 | − | 0.298050i | ||||
\(253\) | 0.0863187 | + | 0.169410i | 0.00542681 | + | 0.0106507i | ||||
\(254\) | 2.64963 | − | 2.90469i | 0.166252 | − | 0.182256i | ||||
\(255\) | −1.67288 | − | 6.51647i | −0.104760 | − | 0.408077i | ||||
\(256\) | −0.846832 | − | 15.9776i | −0.0529270 | − | 0.998598i | ||||
\(257\) | 0.364893 | + | 0.364893i | 0.0227614 | + | 0.0227614i | 0.718396 | − | 0.695635i | \(-0.244877\pi\) |
−0.695635 | + | 0.718396i | \(0.744877\pi\) | |||||||
\(258\) | 9.81298 | + | 12.2796i | 0.610929 | + | 0.764497i | ||||
\(259\) | −28.8843 | − | 20.9857i | −1.79478 | − | 1.30399i | ||||
\(260\) | −16.8655 | − | 15.9175i | −1.04595 | − | 0.987163i | ||||
\(261\) | −5.14543 | + | 3.73837i | −0.318494 | + | 0.231399i | ||||
\(262\) | −16.8370 | − | 4.62844i | −1.04019 | − | 0.285946i | ||||
\(263\) | −2.36297 | − | 14.9192i | −0.145707 | − | 0.919957i | −0.946895 | − | 0.321544i | \(-0.895798\pi\) |
0.801188 | − | 0.598413i | \(-0.204202\pi\) | |||||||
\(264\) | 0.153098 | − | 0.202342i | 0.00942256 | − | 0.0124533i | ||||
\(265\) | 4.79287 | + | 5.43686i | 0.294424 | + | 0.333984i | ||||
\(266\) | 4.66272 | + | 8.19813i | 0.285890 | + | 0.502659i | ||||
\(267\) | −11.6239 | − | 5.92268i | −0.711372 | − | 0.362462i | ||||
\(268\) | −0.269842 | + | 4.12634i | −0.0164832 | + | 0.252057i | ||||
\(269\) | −18.9244 | + | 6.14891i | −1.15384 | + | 0.374906i | −0.822589 | − | 0.568636i | \(-0.807471\pi\) |
−0.331252 | + | 0.943542i | \(0.607471\pi\) | |||||||
\(270\) | −1.48328 | + | 2.79283i | −0.0902695 | + | 0.169966i | ||||
\(271\) | −5.42995 | − | 1.76430i | −0.329846 | − | 0.107173i | 0.139412 | − | 0.990234i | \(-0.455479\pi\) |
−0.469258 | + | 0.883061i | \(0.655479\pi\) | |||||||
\(272\) | −4.02072 | − | 11.3435i | −0.243792 | − | 0.687801i | ||||
\(273\) | 3.59553 | − | 22.7013i | 0.217612 | − | 1.37395i | ||||
\(274\) | −2.65377 | + | 5.85815i | −0.160320 | + | 0.353904i | ||||
\(275\) | 0.405841 | + | 0.191011i | 0.0244731 | + | 0.0115184i | ||||
\(276\) | −2.79537 | − | 3.18656i | −0.168261 | − | 0.191808i | ||||
\(277\) | 11.6279 | + | 1.84168i | 0.698653 | + | 0.110656i | 0.495650 | − | 0.868522i | \(-0.334930\pi\) |
0.203003 | + | 0.979178i | \(0.434930\pi\) | |||||||
\(278\) | −22.7412 | + | 1.04430i | −1.36393 | + | 0.0626331i | ||||
\(279\) | −1.28650 | + | 3.95945i | −0.0770210 | + | 0.237046i | ||||
\(280\) | 21.2477 | + | 18.2852i | 1.26979 | + | 1.09275i | ||||
\(281\) | −2.40044 | − | 7.38779i | −0.143198 | − | 0.440719i | 0.853577 | − | 0.520967i | \(-0.174429\pi\) |
−0.996775 | + | 0.0802486i | \(0.974429\pi\) | |||||||
\(282\) | 3.83783 | + | 10.1946i | 0.228539 | + | 0.607078i | ||||
\(283\) | −8.36586 | + | 16.4189i | −0.497299 | + | 0.976004i | 0.496835 | + | 0.867845i | \(0.334496\pi\) |
−0.994134 | + | 0.108159i | \(0.965504\pi\) | |||||||
\(284\) | −0.457731 | − | 4.97337i | −0.0271613 | − | 0.295115i | ||||
\(285\) | −2.89585 | − | 1.71275i | −0.171536 | − | 0.101454i | ||||
\(286\) | −0.132615 | − | 0.644382i | −0.00784171 | − | 0.0381031i | ||||
\(287\) | 44.5717 | − | 7.05947i | 2.63099 | − | 0.416707i | ||||
\(288\) | −2.19702 | + | 5.21278i | −0.129460 | + | 0.307166i | ||||
\(289\) | 4.67138 | + | 6.42960i | 0.274787 | + | 0.378212i | ||||
\(290\) | −16.0682 | − | 12.0963i | −0.943557 | − | 0.710322i | ||||
\(291\) | −2.59898 | + | 3.57719i | −0.152355 | + | 0.209699i | ||||
\(292\) | 14.3963 | − | 3.65846i | 0.842480 | − | 0.214095i | ||||
\(293\) | −16.5382 | + | 16.5382i | −0.966169 | + | 0.966169i | −0.999446 | − | 0.0332770i | \(-0.989406\pi\) |
0.0332770 | + | 0.999446i | \(0.489406\pi\) | |||||||
\(294\) | −1.98436 | + | 17.7729i | −0.115730 | + | 1.03653i | ||||
\(295\) | 29.3942 | + | 11.6392i | 1.71139 | + | 0.677663i | ||||
\(296\) | 22.7791 | + | 0.442267i | 1.32401 | + | 0.0257062i | ||||
\(297\) | −0.0799312 | + | 0.0407270i | −0.00463808 | + | 0.00236322i | ||||
\(298\) | 2.25693 | − | 3.42662i | 0.130740 | − | 0.198499i | ||||
\(299\) | −10.9906 | −0.635605 | ||||||||
\(300\) | −9.81807 | − | 1.89880i | −0.566847 | − | 0.109627i | ||||
\(301\) | −49.2649 | −2.83958 | ||||||||
\(302\) | 3.12749 | − | 4.74837i | 0.179967 | − | 0.273238i | ||||
\(303\) | −6.07511 | + | 3.09542i | −0.349006 | + | 0.177827i | ||||
\(304\) | −5.43297 | − | 2.58942i | −0.311602 | − | 0.148514i | ||||
\(305\) | −16.3168 | + | 19.7221i | −0.934296 | + | 1.12928i | ||||
\(306\) | −0.472144 | + | 4.22874i | −0.0269907 | + | 0.241741i | ||||
\(307\) | 22.4411 | − | 22.4411i | 1.28078 | − | 1.28078i | 0.340557 | − | 0.940224i | \(-0.389384\pi\) |
0.940224 | − | 0.340557i | \(-0.110616\pi\) | |||||||
\(308\) | 0.195864 | + | 0.770739i | 0.0111604 | + | 0.0439169i | ||||
\(309\) | 1.45526 | − | 2.00300i | 0.0827870 | − | 0.113947i | ||||
\(310\) | −13.1634 | − | 0.223540i | −0.747628 | − | 0.0126962i | ||||
\(311\) | −8.54043 | − | 11.7549i | −0.484284 | − | 0.666559i | 0.495037 | − | 0.868872i | \(-0.335154\pi\) |
−0.979321 | + | 0.202312i | \(0.935154\pi\) | |||||||
\(312\) | 6.40380 | + | 13.1953i | 0.362544 | + | 0.747037i | ||||
\(313\) | −2.22635 | + | 0.352619i | −0.125841 | + | 0.0199312i | −0.219037 | − | 0.975717i | \(-0.570292\pi\) |
0.0931963 | + | 0.995648i | \(0.470292\pi\) | |||||||
\(314\) | −0.933204 | − | 4.53446i | −0.0526637 | − | 0.255895i | ||||
\(315\) | −3.93577 | − | 9.09597i | −0.221756 | − | 0.512500i | ||||
\(316\) | −2.54964 | + | 0.234659i | −0.143428 | + | 0.0132006i | ||||
\(317\) | 3.60520 | − | 7.07561i | 0.202488 | − | 0.397406i | −0.767323 | − | 0.641260i | \(-0.778412\pi\) |
0.969812 | + | 0.243854i | \(0.0784119\pi\) | |||||||
\(318\) | −1.61501 | − | 4.29001i | −0.0905651 | − | 0.240572i | ||||
\(319\) | −0.176312 | − | 0.542633i | −0.00987158 | − | 0.0303816i | ||||
\(320\) | −17.7961 | − | 1.81605i | −0.994833 | − | 0.101520i | ||||
\(321\) | −1.18510 | + | 3.64735i | −0.0661456 | + | 0.203575i | ||||
\(322\) | 13.2712 | − | 0.609429i | 0.739576 | − | 0.0339621i | ||||
\(323\) | −4.47130 | − | 0.708185i | −0.248790 | − | 0.0394045i | ||||
\(324\) | 1.50348 | − | 1.31891i | 0.0835269 | − | 0.0732730i | ||||
\(325\) | −20.4884 | + | 15.8900i | −1.13649 | + | 0.881417i | ||||
\(326\) | −3.88191 | + | 8.56924i | −0.214999 | + | 0.474606i | ||||
\(327\) | −1.07615 | + | 6.79456i | −0.0595114 | + | 0.375740i | ||||
\(328\) | −20.7543 | + | 19.9638i | −1.14597 | + | 1.10231i | ||||
\(329\) | −32.4691 | − | 10.5499i | −1.79008 | − | 0.581633i | ||||
\(330\) | −0.197160 | − | 0.203972i | −0.0108533 | − | 0.0112283i | ||||
\(331\) | 29.8062 | − | 9.68463i | 1.63830 | − | 0.532316i | 0.662141 | − | 0.749379i | \(-0.269648\pi\) |
0.976157 | + | 0.217064i | \(0.0696479\pi\) | |||||||
\(332\) | 4.53930 | + | 0.296847i | 0.249126 | + | 0.0162916i | ||||
\(333\) | −7.17719 | − | 3.65696i | −0.393308 | − | 0.200400i | ||||
\(334\) | 2.06267 | + | 3.62665i | 0.112864 | + | 0.198441i | ||||
\(335\) | 4.51187 | + | 1.00870i | 0.246510 | + | 0.0551111i | ||||
\(336\) | −8.46428 | − | 15.5783i | −0.461764 | − | 0.849864i | ||||
\(337\) | −5.00654 | − | 31.6100i | −0.272723 | − | 1.72191i | −0.620393 | − | 0.784291i | \(-0.713027\pi\) |
0.347669 | − | 0.937617i | \(-0.386973\pi\) | |||||||
\(338\) | 18.9416 | + | 5.20700i | 1.03029 | + | 0.283223i | ||||
\(339\) | 9.38907 | − | 6.82156i | 0.509944 | − | 0.370496i | ||||
\(340\) | −13.2235 | + | 2.48817i | −0.717144 | + | 0.134940i | ||||
\(341\) | −0.302150 | − | 0.219525i | −0.0163623 | − | 0.0118879i | ||||
\(342\) | 1.32838 | + | 1.66229i | 0.0718304 | + | 0.0898863i | ||||
\(343\) | −17.6934 | − | 17.6934i | −0.955352 | − | 0.955352i | ||||
\(344\) | 25.7876 | − | 17.9815i | 1.39038 | − | 0.969497i | ||||
\(345\) | −4.00156 | + | 2.53926i | −0.215437 | + | 0.136709i | ||||
\(346\) | −6.20029 | + | 6.79715i | −0.333330 | + | 0.365417i | ||||
\(347\) | 4.47490 | + | 8.78249i | 0.240225 | + | 0.471469i | 0.979369 | − | 0.202079i | \(-0.0647697\pi\) |
−0.739144 | + | 0.673548i | \(0.764770\pi\) | |||||||
\(348\) | 6.78928 | + | 10.7568i | 0.363943 | + | 0.576626i | ||||
\(349\) | 19.1891i | 1.02717i | 0.858039 | + | 0.513585i | \(0.171683\pi\) | ||||
−0.858039 | + | 0.513585i | \(0.828317\pi\) | |||||||
\(350\) | 23.8587 | − | 20.3232i | 1.27530 | − | 1.08632i | ||||
\(351\) | − | 5.18562i | − | 0.276788i | ||||||
\(352\) | −0.383841 | − | 0.331952i | −0.0204588 | − | 0.0176931i | ||||
\(353\) | 16.1097 | + | 31.6170i | 0.857432 | + | 1.68281i | 0.721862 | + | 0.692037i | \(0.243287\pi\) |
0.135570 | + | 0.990768i | \(0.456713\pi\) | |||||||
\(354\) | −14.7722 | − | 13.4751i | −0.785134 | − | 0.716192i | ||||
\(355\) | −5.57287 | − | 0.350824i | −0.295777 | − | 0.0186198i | ||||
\(356\) | −13.3372 | + | 22.4253i | −0.706868 | + | 1.18854i | ||||
\(357\) | −9.42978 | − | 9.42978i | −0.499077 | − | 0.499077i | ||||
\(358\) | −10.1553 | + | 8.11536i | −0.536724 | + | 0.428910i | ||||
\(359\) | 0.644378 | + | 0.468168i | 0.0340090 | + | 0.0247090i | 0.604660 | − | 0.796484i | \(-0.293309\pi\) |
−0.570651 | + | 0.821193i | \(0.693309\pi\) | |||||||
\(360\) | 5.38017 | + | 3.32473i | 0.283560 | + | 0.175229i | ||||
\(361\) | 13.5398 | − | 9.83724i | 0.712621 | − | 0.517749i | ||||
\(362\) | −1.72386 | + | 6.27093i | −0.0906041 | + | 0.329593i | ||||
\(363\) | 1.71952 | + | 10.8566i | 0.0902514 | + | 0.569825i | ||||
\(364\) | −44.8366 | − | 10.1385i | −2.35008 | − | 0.531402i | ||||
\(365\) | −1.56225 | − | 16.5335i | −0.0817721 | − | 0.865403i | ||||
\(366\) | 14.0721 | − | 8.00354i | 0.735558 | − | 0.418352i | ||||
\(367\) | −24.8460 | − | 12.6597i | −1.29695 | − | 0.660830i | −0.337135 | − | 0.941456i | \(-0.609458\pi\) |
−0.959817 | + | 0.280626i | \(0.909458\pi\) | |||||||
\(368\) | −6.72435 | + | 5.16294i | −0.350531 | + | 0.269137i | ||||
\(369\) | 9.68312 | − | 3.14624i | 0.504083 | − | 0.163787i | ||||
\(370\) | 4.41141 | − | 25.0877i | 0.229338 | − | 1.30425i | ||||
\(371\) | 13.6634 | + | 4.43952i | 0.709370 | + | 0.230488i | ||||
\(372\) | 7.73413 | + | 3.08428i | 0.400996 | + | 0.159912i | ||||
\(373\) | 0.864521 | − | 5.45837i | 0.0447632 | − | 0.282624i | −0.955146 | − | 0.296137i | \(-0.904302\pi\) |
0.999909 | + | 0.0135133i | \(0.00430155\pi\) | |||||||
\(374\) | −0.347700 | − | 0.157510i | −0.0179791 | − | 0.00814464i | ||||
\(375\) | −3.78838 | + | 10.5189i | −0.195631 | + | 0.543196i | ||||
\(376\) | 20.8466 | − | 6.32879i | 1.07508 | − | 0.326382i | ||||
\(377\) | 32.5750 | + | 5.15937i | 1.67770 | + | 0.265721i | ||||
\(378\) | 0.287541 | + | 6.26164i | 0.0147895 | + | 0.322064i | ||||
\(379\) | 5.76200 | − | 17.7336i | 0.295974 | − | 0.910915i | −0.686918 | − | 0.726735i | \(-0.741037\pi\) |
0.982893 | − | 0.184180i | \(-0.0589630\pi\) | |||||||
\(380\) | −3.79614 | + | 5.55583i | −0.194738 | + | 0.285008i | ||||
\(381\) | 0.859093 | + | 2.64402i | 0.0440127 | + | 0.135457i | ||||
\(382\) | −5.41982 | + | 2.04033i | −0.277302 | + | 0.104392i | ||||
\(383\) | 8.53445 | − | 16.7498i | 0.436090 | − | 0.855875i | −0.563468 | − | 0.826138i | \(-0.690533\pi\) |
0.999558 | − | 0.0297370i | \(-0.00946699\pi\) | |||||||
\(384\) | 10.1166 | + | 5.06499i | 0.516261 | + | 0.258472i | ||||
\(385\) | 0.885158 | − | 0.0836387i | 0.0451118 | − | 0.00426262i | ||||
\(386\) | −22.4171 | + | 4.61349i | −1.14100 | + | 0.234820i | ||||
\(387\) | −10.9781 | + | 1.73876i | −0.558048 | + | 0.0883862i | ||||
\(388\) | 6.79994 | + | 5.65374i | 0.345214 | + | 0.287025i | ||||
\(389\) | −3.79524 | − | 5.22370i | −0.192426 | − | 0.264852i | 0.701892 | − | 0.712283i | \(-0.252339\pi\) |
−0.894318 | + | 0.447431i | \(0.852339\pi\) | |||||||
\(390\) | 15.6796 | − | 4.80183i | 0.793965 | − | 0.243150i | ||||
\(391\) | −3.74824 | + | 5.15901i | −0.189557 | + | 0.260902i | ||||
\(392\) | 35.2110 | + | 6.27982i | 1.77842 | + | 0.317179i | ||||
\(393\) | 8.73079 | − | 8.73079i | 0.440410 | − | 0.440410i | ||||
\(394\) | 12.1047 | + | 1.35150i | 0.609825 | + | 0.0680878i | ||||
\(395\) | −0.179853 | + | 2.85697i | −0.00904937 | + | 0.143750i | ||||
\(396\) | 0.0708485 | + | 0.164837i | 0.00356027 | + | 0.00828337i | ||||
\(397\) | 8.49393 | − | 4.32787i | 0.426298 | − | 0.217210i | −0.227660 | − | 0.973741i | \(-0.573107\pi\) |
0.653958 | + | 0.756531i | \(0.273107\pi\) | |||||||
\(398\) | 25.1994 | + | 16.5975i | 1.26313 | + | 0.831956i | ||||
\(399\) | −6.66897 | −0.333866 | ||||||||
\(400\) | −5.07088 | + | 19.3465i | −0.253544 | + | 0.967324i | ||||
\(401\) | −14.2450 | −0.711363 | −0.355682 | − | 0.934607i | \(-0.615751\pi\) | ||||
−0.355682 | + | 0.934607i | \(0.615751\pi\) | |||||||
\(402\) | −2.44191 | − | 1.60836i | −0.121792 | − | 0.0802176i | ||||
\(403\) | 19.2358 | − | 9.80113i | 0.958204 | − | 0.488229i | ||||
\(404\) | 5.38478 | + | 12.5283i | 0.267903 | + | 0.623307i | ||||
\(405\) | −1.19807 | − | 1.88802i | −0.0595328 | − | 0.0938164i | ||||
\(406\) | −39.6204 | − | 4.42367i | −1.96633 | − | 0.219543i | ||||
\(407\) | 0.510969 | − | 0.510969i | 0.0253278 | − | 0.0253278i | ||||
\(408\) | 8.37783 | + | 1.49417i | 0.414765 | + | 0.0739726i | ||||
\(409\) | −8.16703 | + | 11.2410i | −0.403834 | + | 0.555829i | −0.961701 | − | 0.274101i | \(-0.911620\pi\) |
0.557867 | + | 0.829930i | \(0.311620\pi\) | |||||||
\(410\) | 18.4796 | + | 26.3651i | 0.912644 | + | 1.30208i | ||||
\(411\) | −2.67298 | − | 3.67905i | −0.131849 | − | 0.181474i | ||||
\(412\) | −3.80753 | − | 3.16573i | −0.187583 | − | 0.155965i | ||||
\(413\) | 61.8949 | − | 9.80318i | 3.04565 | − | 0.482383i | ||||
\(414\) | 2.93582 | − | 0.604199i | 0.144288 | − | 0.0296948i | ||||
\(415\) | 1.10965 | − | 4.96341i | 0.0544704 | − | 0.243644i | ||||
\(416\) | 27.1701 | − | 11.0582i | 1.33213 | − | 0.542172i | ||||
\(417\) | 7.30808 | − | 14.3429i | 0.357878 | − | 0.702376i | ||||
\(418\) | −0.178648 | + | 0.0672535i | −0.00873797 | + | 0.00328948i | ||||
\(419\) | −6.15217 | − | 18.9344i | −0.300553 | − | 0.925007i | −0.981299 | − | 0.192488i | \(-0.938344\pi\) |
0.680746 | − | 0.732519i | \(-0.261656\pi\) | |||||||
\(420\) | −18.6668 | + | 6.66765i | −0.910848 | + | 0.325348i | ||||
\(421\) | 0.345619 | − | 1.06371i | 0.0168444 | − | 0.0518419i | −0.942281 | − | 0.334823i | \(-0.891323\pi\) |
0.959125 | + | 0.282981i | \(0.0913234\pi\) | |||||||
\(422\) | 1.67257 | + | 36.4227i | 0.0814195 | + | 1.77303i | ||||
\(423\) | −7.60771 | − | 1.20494i | −0.369899 | − | 0.0585863i | ||||
\(424\) | −8.77251 | + | 2.66324i | −0.426031 | + | 0.129338i | ||||
\(425\) | 0.471412 | + | 15.0364i | 0.0228669 | + | 0.729371i | ||||
\(426\) | 3.21688 | + | 1.45726i | 0.155859 | + | 0.0706047i | ||||
\(427\) | −7.93715 | + | 50.1132i | −0.384105 | + | 2.42515i | ||||
\(428\) | 7.12449 | + | 2.84116i | 0.344375 | + | 0.137333i | ||||
\(429\) | 0.442428 | + | 0.143753i | 0.0213606 | + | 0.00694048i | ||||
\(430\) | −15.4231 | − | 31.5840i | −0.743766 | − | 1.52312i | ||||
\(431\) | 8.32624 | − | 2.70536i | 0.401061 | − | 0.130313i | −0.101539 | − | 0.994832i | \(-0.532377\pi\) |
0.502600 | + | 0.864519i | \(0.332377\pi\) | |||||||
\(432\) | −2.43598 | − | 3.17269i | −0.117201 | − | 0.152646i | ||||
\(433\) | 14.4137 | + | 7.34415i | 0.692678 | + | 0.352937i | 0.764629 | − | 0.644471i | \(-0.222922\pi\) |
−0.0719504 | + | 0.997408i | \(0.522922\pi\) | |||||||
\(434\) | −22.6838 | + | 12.9015i | −1.08886 | + | 0.619292i | ||||
\(435\) | 13.0522 | − | 5.64760i | 0.625803 | − | 0.270782i | ||||
\(436\) | 13.4197 | + | 3.03448i | 0.642688 | + | 0.145325i | ||||
\(437\) | 0.498865 | + | 3.14971i | 0.0238640 | + | 0.150671i | ||||
\(438\) | −2.78404 | + | 10.1276i | −0.133027 | + | 0.483915i | ||||
\(439\) | −25.5000 | + | 18.5268i | −1.21705 | + | 0.884236i | −0.995852 | − | 0.0909931i | \(-0.970996\pi\) |
−0.221195 | + | 0.975229i | \(0.570996\pi\) | |||||||
\(440\) | −0.432807 | + | 0.366860i | −0.0206333 | + | 0.0174893i | ||||
\(441\) | −10.2303 | − | 7.43278i | −0.487159 | − | 0.353942i | ||||
\(442\) | 17.2371 | − | 13.7746i | 0.819887 | − | 0.655192i | ||||
\(443\) | 22.7614 | + | 22.7614i | 1.08143 | + | 1.08143i | 0.996377 | + | 0.0850506i | \(0.0271052\pi\) |
0.0850506 | + | 0.996377i | \(0.472895\pi\) | |||||||
\(444\) | −8.23504 | + | 13.8465i | −0.390818 | + | 0.657127i | ||||
\(445\) | 22.4762 | + | 18.5954i | 1.06547 | + | 0.881504i | ||||
\(446\) | 25.8459 | + | 23.5764i | 1.22384 | + | 1.11638i | ||||
\(447\) | 1.31718 | + | 2.58510i | 0.0623003 | + | 0.122271i | ||||
\(448\) | −32.1948 | + | 14.8593i | −1.52106 | + | 0.702038i | ||||
\(449\) | 3.21571i | 0.151759i | 0.997117 | + | 0.0758794i | \(0.0241764\pi\) | ||||
−0.997117 | + | 0.0758794i | \(0.975824\pi\) | |||||||
\(450\) | 4.59933 | − | 5.37086i | 0.216814 | − | 0.253185i | ||||
\(451\) | 0.913365i | 0.0430087i | ||||||||
\(452\) | −12.3887 | − | 19.6284i | −0.582714 | − | 0.923242i | ||||
\(453\) | 1.82525 | + | 3.58226i | 0.0857578 | + | 0.168309i | ||||
\(454\) | −18.0925 | + | 19.8341i | −0.849124 | + | 0.930862i | ||||
\(455\) | −18.9213 | + | 47.7846i | −0.887046 | + | 2.24018i | ||||
\(456\) | 3.49086 | − | 2.43414i | 0.163474 | − | 0.113989i | ||||
\(457\) | −4.31437 | − | 4.31437i | −0.201818 | − | 0.201818i | 0.598961 | − | 0.800778i | \(-0.295581\pi\) |
−0.800778 | + | 0.598961i | \(0.795581\pi\) | |||||||
\(458\) | 3.55221 | + | 4.44512i | 0.165984 | + | 0.207707i | ||||
\(459\) | −2.43413 | − | 1.76850i | −0.113615 | − | 0.0825465i | ||||
\(460\) | 4.54544 | + | 8.31746i | 0.211932 | + | 0.387803i | ||||
\(461\) | 19.3859 | − | 14.0847i | 0.902893 | − | 0.655990i | −0.0363144 | − | 0.999340i | \(-0.511562\pi\) |
0.939207 | + | 0.343350i | \(0.111562\pi\) | |||||||
\(462\) | −0.542203 | − | 0.149050i | −0.0252256 | − | 0.00693443i | ||||
\(463\) | 6.36230 | + | 40.1700i | 0.295681 | + | 1.86686i | 0.470700 | + | 0.882293i | \(0.344001\pi\) |
−0.175019 | + | 0.984565i | \(0.555999\pi\) | |||||||
\(464\) | 22.3539 | − | 12.1457i | 1.03775 | − | 0.563851i | ||||
\(465\) | 4.73909 | − | 8.01267i | 0.219770 | − | 0.371579i | ||||
\(466\) | 3.23708 | + | 5.69153i | 0.149955 | + | 0.263655i | ||||
\(467\) | −22.9322 | − | 11.6845i | −1.06118 | − | 0.540696i | −0.165870 | − | 0.986148i | \(-0.553043\pi\) |
−0.895306 | + | 0.445452i | \(0.853043\pi\) | |||||||
\(468\) | −10.3491 | − | 0.676780i | −0.478389 | − | 0.0312842i | ||||
\(469\) | 8.71563 | − | 2.83188i | 0.402450 | − | 0.130764i | ||||
\(470\) | −3.40133 | − | 24.1189i | −0.156891 | − | 1.11252i | ||||
\(471\) | 3.11333 | + | 1.01158i | 0.143455 | + | 0.0466112i | ||||
\(472\) | −28.8206 | + | 27.7228i | −1.32658 | + | 1.27605i | ||||
\(473\) | 0.155982 | − | 0.984834i | 0.00717208 | − | 0.0452827i | ||||
\(474\) | 0.747078 | − | 1.64916i | 0.0343144 | − | 0.0757485i | ||||
\(475\) | 5.48374 | + | 5.15034i | 0.251611 | + | 0.236314i | ||||
\(476\) | −20.0501 | + | 17.5887i | −0.918993 | + | 0.806176i | ||||
\(477\) | 3.20142 | + | 0.507056i | 0.146583 | + | 0.0232165i | ||||
\(478\) | 28.4917 | − | 1.30837i | 1.30318 | − | 0.0598435i | ||||
\(479\) | −4.89353 | + | 15.0607i | −0.223591 | + | 0.688142i | 0.774841 | + | 0.632157i | \(0.217830\pi\) |
−0.998432 | + | 0.0559855i | \(0.982170\pi\) | |||||||
\(480\) | 7.33746 | − | 10.3035i | 0.334908 | − | 0.470287i | ||||
\(481\) | 12.9079 | + | 39.7265i | 0.588551 | + | 1.81137i | ||||
\(482\) | 3.35003 | + | 8.89882i | 0.152590 | + | 0.405330i | ||||
\(483\) | −4.26481 | + | 8.37016i | −0.194056 | + | 0.380856i | ||||
\(484\) | 21.8914 | − | 2.01480i | 0.995063 | − | 0.0915819i | ||||
\(485\) | 7.41667 | − | 6.53819i | 0.336774 | − | 0.296884i | ||||
\(486\) | 0.285074 | + | 1.38518i | 0.0129312 | + | 0.0628332i | ||||
\(487\) | −18.8395 | + | 2.98389i | −0.853701 | + | 0.135213i | −0.567922 | − | 0.823083i | \(-0.692252\pi\) |
−0.285779 | + | 0.958295i | \(0.592252\pi\) | |||||||
\(488\) | −14.1364 | − | 29.1287i | −0.639925 | − | 1.31859i | ||||
\(489\) | −3.91001 | − | 5.38167i | −0.176817 | − | 0.243367i | ||||
\(490\) | 13.0010 | − | 37.8158i | 0.587327 | − | 1.70834i | ||||
\(491\) | −4.08602 | + | 5.62393i | −0.184400 | + | 0.253804i | −0.891202 | − | 0.453607i | \(-0.850137\pi\) |
0.706802 | + | 0.707411i | \(0.250137\pi\) | |||||||
\(492\) | −5.01531 | − | 19.7356i | −0.226107 | − | 0.889749i | ||||
\(493\) | 13.5312 | − | 13.5312i | 0.609413 | − | 0.609413i | ||||
\(494\) | 1.22438 | − | 10.9661i | 0.0550876 | − | 0.493389i | ||||
\(495\) | 0.194295 | − | 0.0498788i | 0.00873291 | − | 0.00224188i | ||||
\(496\) | 7.16480 | − | 15.0328i | 0.321709 | − | 0.674991i | ||||
\(497\) | −9.86197 | + | 5.02493i | −0.442370 | + | 0.225399i | ||||
\(498\) | −1.76932 | + | 2.68630i | −0.0792851 | + | 0.120376i | ||||
\(499\) | 0.252832 | 0.0113183 | 0.00565916 | − | 0.999984i | \(-0.498199\pi\) | ||||
0.00565916 | + | 0.999984i | \(0.498199\pi\) | |||||||
\(500\) | 20.4986 | + | 8.93346i | 0.916726 | + | 0.399516i | ||||
\(501\) | −2.95018 | −0.131804 | ||||||||
\(502\) | 21.0566 | − | 31.9695i | 0.939803 | − | 1.42687i | ||||
\(503\) | 15.9788 | − | 8.14160i | 0.712459 | − | 0.363016i | −0.0598984 | − | 0.998204i | \(-0.519078\pi\) |
0.772357 | + | 0.635189i | \(0.219078\pi\) | |||||||
\(504\) | 12.5341 | + | 0.243356i | 0.558314 | + | 0.0108399i | ||||
\(505\) | 14.7672 | − | 3.79099i | 0.657133 | − | 0.168697i | ||||
\(506\) | −0.0298364 | + | 0.267229i | −0.00132639 | + | 0.0118798i | ||||
\(507\) | −9.82215 | + | 9.82215i | −0.436217 | + | 0.436217i | ||||
\(508\) | 5.38888 | − | 1.36945i | 0.239093 | − | 0.0607596i | ||||
\(509\) | −12.4593 | + | 17.1488i | −0.552249 | + | 0.760105i | −0.990315 | − | 0.138837i | \(-0.955664\pi\) |
0.438066 | + | 0.898943i | \(0.355664\pi\) | |||||||
\(510\) | 3.09336 | − | 8.99760i | 0.136976 | − | 0.398421i | ||||
\(511\) | −19.3490 | − | 26.6317i | −0.855951 | − | 1.17812i | ||||
\(512\) | 11.4287 | − | 19.5291i | 0.505083 | − | 0.863071i | ||||
\(513\) | −1.48610 | + | 0.235375i | −0.0656129 | + | 0.0103921i | ||||
\(514\) | 0.147109 | + | 0.714805i | 0.00648868 | + | 0.0315287i | ||||
\(515\) | −4.15286 | + | 3.66097i | −0.182997 | + | 0.161321i | ||||
\(516\) | 2.03735 | + | 22.1363i | 0.0896892 | + | 0.974498i | ||||
\(517\) | 0.313701 | − | 0.615673i | 0.0137966 | − | 0.0270773i | ||||
\(518\) | −17.7892 | − | 47.2541i | −0.781611 | − | 2.07623i | ||||
\(519\) | −2.01033 | − | 6.18716i | −0.0882438 | − | 0.271586i | ||||
\(520\) | −7.53684 | − | 31.9190i | −0.330512 | − | 1.39974i | ||||
\(521\) | 3.05487 | − | 9.40193i | 0.133836 | − | 0.411906i | −0.861571 | − | 0.507637i | \(-0.830519\pi\) |
0.995407 | + | 0.0957313i | \(0.0305190\pi\) | |||||||
\(522\) | −8.98507 | + | 0.412604i | −0.393266 | + | 0.0180592i | ||||
\(523\) | −19.0721 | − | 3.02072i | −0.833963 | − | 0.132087i | −0.275171 | − | 0.961395i | \(-0.588735\pi\) |
−0.558791 | + | 0.829308i | \(0.688735\pi\) | |||||||
\(524\) | −16.2849 | − | 18.5638i | −0.711409 | − | 0.810965i | ||||
\(525\) | 4.15104 | + | 21.7693i | 0.181166 | + | 0.950092i | ||||
\(526\) | 8.81478 | − | 19.4585i | 0.384343 | − | 0.848429i | ||||
\(527\) | 1.95951 | − | 12.3719i | 0.0853576 | − | 0.538927i | ||||
\(528\) | 0.338218 | − | 0.119882i | 0.0147190 | − | 0.00521719i | ||||
\(529\) | −17.6021 | − | 5.71927i | −0.765309 | − | 0.248664i | ||||
\(530\) | 1.43132 | + | 10.1496i | 0.0621727 | + | 0.440869i | ||||
\(531\) | 13.4465 | − | 4.36904i | 0.583530 | − | 0.189600i | ||||
\(532\) | −0.870373 | + | 13.3095i | −0.0377355 | + | 0.577040i | ||||
\(533\) | −47.0425 | − | 23.9693i | −2.03764 | − | 1.03823i | ||||
\(534\) | −9.12120 | − | 16.0372i | −0.394713 | − | 0.693996i | ||||
\(535\) | 4.36553 | − | 7.38108i | 0.188738 | − | 0.319112i | ||||
\(536\) | −3.52856 | + | 4.66351i | −0.152410 | + | 0.201433i | ||||
\(537\) | −1.43796 | − | 9.07892i | −0.0620525 | − | 0.391784i | ||||
\(538\) | −27.1339 | − | 7.45902i | −1.16982 | − | 0.321581i | ||||
\(539\) | 0.917753 | − | 0.666787i | 0.0395304 | − | 0.0287205i | ||||
\(540\) | −3.92435 | + | 2.14463i | −0.168877 | + | 0.0922904i | ||||
\(541\) | 4.14253 | + | 3.00972i | 0.178101 | + | 0.129398i | 0.673264 | − | 0.739402i | \(-0.264892\pi\) |
−0.495163 | + | 0.868800i | \(0.664892\pi\) | |||||||
\(542\) | −5.04060 | − | 6.30765i | −0.216512 | − | 0.270937i | ||||
\(543\) | −3.25178 | − | 3.25178i | −0.139547 | − | 0.139547i | ||||
\(544\) | 4.07537 | − | 16.5249i | 0.174730 | − | 0.708501i | ||||
\(545\) | 5.66321 | − | 14.3021i | 0.242585 | − | 0.612633i | ||||
\(546\) | 21.9057 | − | 24.0144i | 0.937479 | − | 1.02772i | ||||
\(547\) | 8.45520 | + | 16.5943i | 0.361518 | + | 0.709520i | 0.998095 | − | 0.0616937i | \(-0.0196502\pi\) |
−0.636577 | + | 0.771213i | \(0.719650\pi\) | |||||||
\(548\) | −7.69126 | + | 4.85442i | −0.328554 | + | 0.207370i | ||||
\(549\) | 11.4473i | 0.488557i | ||||||||
\(550\) | 0.330732 | + | 0.541296i | 0.0141025 | + | 0.0230809i | ||||
\(551\) | − | 9.56956i | − | 0.407677i | ||||||
\(552\) | −0.822666 | − | 5.93799i | −0.0350150 | − | 0.252737i | ||||
\(553\) | 2.57607 | + | 5.05582i | 0.109546 | + | 0.214995i | ||||
\(554\) | 12.3005 | + | 11.2204i | 0.522598 | + | 0.476709i | ||||
\(555\) | 13.8780 | + | 11.4817i | 0.589086 | + | 0.487372i | ||||
\(556\) | −27.6709 | − | 16.4569i | −1.17351 | − | 0.697929i | ||||
\(557\) | 21.1313 | + | 21.1313i | 0.895360 | + | 0.895360i | 0.995021 | − | 0.0996610i | \(-0.0317758\pi\) |
−0.0996610 | + | 0.995021i | \(0.531776\pi\) | |||||||
\(558\) | −4.59947 | + | 3.67555i | −0.194711 | + | 0.155598i | ||||
\(559\) | 46.6300 | + | 33.8787i | 1.97224 | + | 1.43292i | ||||
\(560\) | 10.8706 | + | 38.1243i | 0.459369 | + | 1.61105i | ||||
\(561\) | 0.218363 | − | 0.158650i | 0.00921930 | − | 0.00669821i | ||||
\(562\) | 2.91188 | − | 10.5926i | 0.122830 | − | 0.446823i | ||||
\(563\) | −0.604217 | − | 3.81487i | −0.0254647 | − | 0.160778i | 0.971679 | − | 0.236304i | \(-0.0759362\pi\) |
−0.997144 | + | 0.0755266i | \(0.975936\pi\) | |||||||
\(564\) | −3.39764 | + | 15.0257i | −0.143066 | + | 0.632697i | ||||
\(565\) | −23.8168 | + | 10.3054i | −1.00198 | + | 0.433551i | ||||
\(566\) | −22.6527 | + | 12.8838i | −0.952164 | + | 0.541547i | ||||
\(567\) | −3.94922 | − | 2.01223i | −0.165852 | − | 0.0845056i | ||||
\(568\) | 3.32816 | − | 6.22987i | 0.139646 | − | 0.261399i | ||||
\(569\) | 2.43157 | − | 0.790065i | 0.101937 | − | 0.0331213i | −0.257605 | − | 0.966250i | \(-0.582933\pi\) |
0.359541 | + | 0.933129i | \(0.382933\pi\) | |||||||
\(570\) | −2.08781 | − | 4.27551i | −0.0874487 | − | 0.179081i | ||||
\(571\) | −2.33800 | − | 0.759663i | −0.0978424 | − | 0.0317909i | 0.259687 | − | 0.965693i | \(-0.416381\pi\) |
−0.357529 | + | 0.933902i | \(0.616381\pi\) | |||||||
\(572\) | 0.344636 | − | 0.864208i | 0.0144099 | − | 0.0361344i | ||||
\(573\) | 0.640592 | − | 4.04454i | 0.0267611 | − | 0.168963i | ||||
\(574\) | 58.1330 | + | 26.3345i | 2.42642 | + | 1.09918i | ||||
\(575\) | 9.97100 | − | 3.58894i | 0.415820 | − | 0.149669i | ||||
\(576\) | −6.64978 | + | 4.44751i | −0.277074 | + | 0.185313i | ||||
\(577\) | −6.93561 | − | 1.09849i | −0.288733 | − | 0.0457308i | 0.0103878 | − | 0.999946i | \(-0.496693\pi\) |
−0.299121 | + | 0.954215i | \(0.596693\pi\) | |||||||
\(578\) | 0.515580 | + | 11.2275i | 0.0214453 | + | 0.467003i | ||||
\(579\) | 5.00097 | − | 15.3914i | 0.207833 | − | 0.639645i | ||||
\(580\) | −9.56767 | − | 26.7858i | −0.397276 | − | 1.11222i | ||||
\(581\) | −3.11529 | − | 9.58788i | −0.129244 | − | 0.397772i | ||||
\(582\) | −5.85220 | + | 2.20311i | −0.242582 | + | 0.0913218i | ||||
\(583\) | −0.132010 | + | 0.259083i | −0.00546728 | + | 0.0107301i | ||||
\(584\) | 19.8487 | + | 6.87798i | 0.821343 | + | 0.284613i | ||||
\(585\) | −2.52988 | + | 11.3160i | −0.104598 | + | 0.467861i | ||||
\(586\) | −32.3973 | + | 6.66745i | −1.33832 | + | 0.275430i | ||||
\(587\) | −19.2103 | + | 3.04261i | −0.792893 | + | 0.125582i | −0.539726 | − | 0.841841i | \(-0.681472\pi\) |
−0.253167 | + | 0.967423i | \(0.581472\pi\) | |||||||
\(588\) | −16.1691 | + | 19.4470i | −0.666800 | + | 0.801982i | ||||
\(589\) | −3.68193 | − | 5.06775i | −0.151711 | − | 0.208813i | ||||
\(590\) | 25.6619 | + | 36.6121i | 1.05648 | + | 1.50730i | ||||
\(591\) | −5.06230 | + | 6.96765i | −0.208235 | + | 0.286611i | ||||
\(592\) | 26.5592 | + | 18.2421i | 1.09158 | + | 0.749746i | ||||
\(593\) | −26.2991 | + | 26.2991i | −1.07998 | + | 1.07998i | −0.0834655 | + | 0.996511i | \(0.526599\pi\) |
−0.996511 | + | 0.0834655i | \(0.973401\pi\) | |||||||
\(594\) | −0.126084 | − | 0.0140775i | −0.00517329 | − | 0.000577605i | ||||
\(595\) | 15.9772 | + | 25.1781i | 0.655001 | + | 1.03220i | ||||
\(596\) | 5.33109 | − | 2.29135i | 0.218370 | − | 0.0938575i | ||||
\(597\) | −19.0109 | + | 9.68652i | −0.778063 | + | 0.396443i | ||||
\(598\) | −12.9805 | − | 8.54956i | −0.530812 | − | 0.349618i | ||||
\(599\) | −41.8236 | −1.70887 | −0.854434 | − | 0.519561i | \(-0.826096\pi\) | ||||
−0.854434 | + | 0.519561i | \(0.826096\pi\) | |||||||
\(600\) | −10.1186 | − | 9.88001i | −0.413089 | − | 0.403350i | ||||
\(601\) | −37.3005 | −1.52152 | −0.760759 | − | 0.649034i | \(-0.775173\pi\) | ||||
−0.760759 | + | 0.649034i | \(0.775173\pi\) | |||||||
\(602\) | −58.1844 | − | 38.3229i | −2.37142 | − | 1.56193i | ||||
\(603\) | 1.84223 | − | 0.938661i | 0.0750212 | − | 0.0382252i | ||||
\(604\) | 7.38746 | − | 3.17520i | 0.300591 | − | 0.129197i | ||||
\(605\) | 1.54423 | − | 24.5302i | 0.0627818 | − | 0.997294i | ||||
\(606\) | −9.58292 | − | 1.06995i | −0.389280 | − | 0.0434636i | ||||
\(607\) | 6.86710 | − | 6.86710i | 0.278727 | − | 0.278727i | −0.553874 | − | 0.832601i | \(-0.686851\pi\) |
0.832601 | + | 0.553874i | \(0.186851\pi\) | |||||||
\(608\) | −4.40232 | − | 7.28452i | −0.178538 | − | 0.295426i | ||||
\(609\) | 16.5696 | − | 22.8062i | 0.671436 | − | 0.924152i | ||||
\(610\) | −34.6127 | + | 10.6001i | −1.40143 | + | 0.429184i | ||||
\(611\) | 23.4776 | + | 32.3141i | 0.949800 | + | 1.30729i | ||||
\(612\) | −3.84714 | + | 4.62708i | −0.155511 | + | 0.187038i | ||||
\(613\) | −9.83772 | + | 1.55814i | −0.397342 | + | 0.0629328i | −0.351908 | − | 0.936035i | \(-0.614467\pi\) |
−0.0454338 | + | 0.998967i | \(0.514467\pi\) | |||||||
\(614\) | 43.9609 | − | 9.04725i | 1.77412 | − | 0.365117i | ||||
\(615\) | −22.6654 | + | 2.14166i | −0.913958 | + | 0.0863600i | ||||
\(616\) | −0.368228 | + | 1.06264i | −0.0148363 | + | 0.0428151i | ||||
\(617\) | −13.7364 | + | 26.9593i | −0.553008 | + | 1.08534i | 0.430179 | + | 0.902743i | \(0.358450\pi\) |
−0.983188 | + | 0.182597i | \(0.941550\pi\) | |||||||
\(618\) | 3.27686 | − | 1.23360i | 0.131815 | − | 0.0496226i | ||||
\(619\) | −10.2938 | − | 31.6812i | −0.413744 | − | 1.27337i | −0.913369 | − | 0.407133i | \(-0.866529\pi\) |
0.499625 | − | 0.866242i | \(-0.333471\pi\) | |||||||
\(620\) | −15.3727 | − | 10.5037i | −0.617382 | − | 0.421839i | ||||
\(621\) | −0.654945 | + | 2.01571i | −0.0262820 | + | 0.0808878i | ||||
\(622\) | −0.942608 | − | 20.5267i | −0.0377951 | − | 0.823045i | ||||
\(623\) | 57.1113 | + | 9.04554i | 2.28811 | + | 0.362402i | ||||
\(624\) | −2.70135 | + | 20.5658i | −0.108141 | + | 0.823291i | ||||
\(625\) | 13.3988 | − | 21.1062i | 0.535953 | − | 0.844248i | ||||
\(626\) | −2.90373 | − | 1.31541i | −0.116057 | − | 0.0525742i | ||||
\(627\) | 0.0211152 | − | 0.133316i | 0.000843262 | − | 0.00532415i | ||||
\(628\) | 2.42518 | − | 6.08136i | 0.0967750 | − | 0.242673i | ||||
\(629\) | 23.0498 | + | 7.48932i | 0.919054 | + | 0.298619i | ||||
\(630\) | 2.42736 | − | 13.8044i | 0.0967083 | − | 0.549981i | ||||
\(631\) | −4.13387 | + | 1.34318i | −0.164567 | + | 0.0534710i | −0.390142 | − | 0.920755i | \(-0.627574\pi\) |
0.225575 | + | 0.974226i | \(0.427574\pi\) | |||||||
\(632\) | −3.19379 | − | 1.70621i | −0.127042 | − | 0.0678692i | ||||
\(633\) | −22.9718 | − | 11.7047i | −0.913048 | − | 0.465221i | ||||
\(634\) | 9.76201 | − | 5.55218i | 0.387699 | − | 0.220505i | ||||
\(635\) | −0.584789 | − | 6.18889i | −0.0232066 | − | 0.245599i | ||||
\(636\) | 1.42977 | − | 6.32302i | 0.0566941 | − | 0.250724i | ||||
\(637\) | 10.2581 | + | 64.7669i | 0.406439 | + | 2.56616i | ||||
\(638\) | 0.213878 | − | 0.778029i | 0.00846750 | − | 0.0308024i | ||||
\(639\) | −2.02027 | + | 1.46781i | −0.0799208 | + | 0.0580658i | ||||
\(640\) | −19.6054 | − | 15.9884i | −0.774972 | − | 0.631995i | ||||
\(641\) | 23.8819 | + | 17.3512i | 0.943278 | + | 0.685332i | 0.949208 | − | 0.314651i | \(-0.101887\pi\) |
−0.00592940 | + | 0.999982i | \(0.501887\pi\) | |||||||
\(642\) | −4.23691 | + | 3.38583i | −0.167218 | + | 0.133628i | ||||
\(643\) | −5.10377 | − | 5.10377i | −0.201273 | − | 0.201273i | 0.599272 | − | 0.800545i | \(-0.295457\pi\) |
−0.800545 | + | 0.599272i | \(0.795457\pi\) | |||||||
\(644\) | 16.1480 | + | 9.60384i | 0.636322 | + | 0.378444i | ||||
\(645\) | 24.8047 | + | 1.56151i | 0.976683 | + | 0.0614843i | ||||
\(646\) | −4.72994 | − | 4.31461i | −0.186097 | − | 0.169756i | ||||
\(647\) | −8.71938 | − | 17.1127i | −0.342794 | − | 0.672771i | 0.653671 | − | 0.756779i | \(-0.273228\pi\) |
−0.996465 | + | 0.0840074i | \(0.973228\pi\) | |||||||
\(648\) | 2.80167 | − | 0.388151i | 0.110060 | − | 0.0152480i | ||||
\(649\) | 1.26835i | 0.0497872i | ||||||||
\(650\) | −36.5585 | + | 2.82905i | −1.43394 | + | 0.110964i | ||||
\(651\) | − | 18.4527i | − | 0.723218i | ||||||
\(652\) | −11.2507 | + | 7.10098i | −0.440611 | + | 0.278096i | ||||
\(653\) | −19.9775 | − | 39.2081i | −0.781781 | − | 1.53433i | −0.844045 | − | 0.536272i | \(-0.819832\pi\) |
0.0622643 | − | 0.998060i | \(-0.480168\pi\) | |||||||
\(654\) | −6.55645 | + | 7.18759i | −0.256377 | + | 0.281057i | ||||
\(655\) | −23.3118 | + | 14.7929i | −0.910866 | + | 0.578005i | ||||
\(656\) | −40.0416 | + | 7.43352i | −1.56336 | + | 0.290230i | ||||
\(657\) | −5.25164 | − | 5.25164i | −0.204886 | − | 0.204886i | ||||
\(658\) | −30.1410 | − | 37.7175i | −1.17502 | − | 1.47038i | ||||
\(659\) | −27.2711 | − | 19.8136i | −1.06233 | − | 0.771830i | −0.0878139 | − | 0.996137i | \(-0.527988\pi\) |
−0.974518 | + | 0.224307i | \(0.927988\pi\) | |||||||
\(660\) | −0.0741872 | − | 0.394272i | −0.00288773 | − | 0.0153470i | ||||
\(661\) | 36.2595 | − | 26.3441i | 1.41033 | − | 1.02467i | 0.417058 | − | 0.908880i | \(-0.363061\pi\) |
0.993274 | − | 0.115787i | \(-0.0369389\pi\) | |||||||
\(662\) | 42.7363 | + | 11.7481i | 1.66099 | + | 0.456602i | ||||
\(663\) | 2.44073 | + | 15.4101i | 0.0947899 | + | 0.598480i | ||||
\(664\) | 5.13023 | + | 3.88169i | 0.199091 | + | 0.150639i | ||||
\(665\) | 14.5530 | + | 3.25355i | 0.564341 | + | 0.126167i | ||||
\(666\) | −5.63189 | − | 9.90216i | −0.218231 | − | 0.383701i | ||||
\(667\) | −12.0107 | − | 6.11974i | −0.465055 | − | 0.236957i | ||||
\(668\) | −0.385031 | + | 5.88779i | −0.0148973 | + | 0.227806i | ||||
\(669\) | −23.5265 | + | 7.64422i | −0.909587 | + | 0.295543i | ||||
\(670\) | 4.54408 | + | 4.70108i | 0.175553 | + | 0.181619i | ||||
\(671\) | −0.976660 | − | 0.317336i | −0.0377035 | − | 0.0122506i | ||||
\(672\) | 2.12151 | − | 24.9830i | 0.0818391 | − | 0.963742i | ||||
\(673\) | 4.08246 | − | 25.7757i | 0.157367 | − | 0.993579i | −0.774972 | − | 0.631995i | \(-0.782236\pi\) |
0.932340 | − | 0.361583i | \(-0.117764\pi\) | |||||||
\(674\) | 18.6763 | − | 41.2276i | 0.719384 | − | 1.58803i | ||||
\(675\) | 1.69334 | + | 4.70453i | 0.0651766 | + | 0.181077i | ||||
\(676\) | 18.3205 | + | 20.8843i | 0.704636 | + | 0.803243i | ||||
\(677\) | 8.61245 | + | 1.36408i | 0.331003 | + | 0.0524258i | 0.319724 | − | 0.947511i | \(-0.396410\pi\) |
0.0112789 | + | 0.999936i | \(0.496410\pi\) | |||||||
\(678\) | 16.3954 | − | 0.752896i | 0.629662 | − | 0.0289148i | ||||
\(679\) | 6.05616 | − | 18.6389i | 0.232414 | − | 0.715297i | ||||
\(680\) | −17.5531 | − | 7.34783i | −0.673132 | − | 0.281776i | ||||
\(681\) | −5.86617 | − | 18.0542i | −0.224792 | − | 0.691838i | ||||
\(682\) | −0.186087 | − | 0.494310i | −0.00712564 | − | 0.0189281i | ||||
\(683\) | −1.48416 | + | 2.91283i | −0.0567898 | + | 0.111456i | −0.917657 | − | 0.397373i | \(-0.869922\pi\) |
0.860867 | + | 0.508830i | \(0.169922\pi\) | |||||||
\(684\) | 0.275795 | + | 2.99658i | 0.0105453 | + | 0.114577i | ||||
\(685\) | 4.03810 | + | 9.33246i | 0.154288 | + | 0.356575i | ||||
\(686\) | −7.13318 | − | 34.6603i | −0.272346 | − | 1.32334i | ||||
\(687\) | −3.97398 | + | 0.629416i | −0.151617 | + | 0.0240137i | ||||
\(688\) | 44.4442 | − | 1.17697i | 1.69442 | − | 0.0448717i | ||||
\(689\) | −9.87967 | − | 13.5982i | −0.376385 | − | 0.518050i | ||||
\(690\) | −6.70131 | − | 0.113801i | −0.255115 | − | 0.00433235i | ||||
\(691\) | 16.4783 | − | 22.6804i | 0.626864 | − | 0.862805i | −0.370966 | − | 0.928647i | \(-0.620973\pi\) |
0.997830 | + | 0.0658420i | \(0.0209733\pi\) | |||||||
\(692\) | −12.6103 | + | 3.20460i | −0.479373 | + | 0.121821i | ||||
\(693\) | 0.281158 | − | 0.281158i | 0.0106803 | − | 0.0106803i | ||||
\(694\) | −1.54677 | + | 13.8536i | −0.0587145 | + | 0.525874i | ||||
\(695\) | −22.9451 | + | 27.7337i | −0.870356 | + | 1.05200i | ||||
\(696\) | −0.349200 | + | 17.9857i | −0.0132364 | + | 0.681746i | ||||
\(697\) | −27.2946 | + | 13.9073i | −1.03385 | + | 0.526775i | ||||
\(698\) | −14.9271 | + | 22.6633i | −0.564999 | + | 0.857819i | ||||
\(699\) | −4.62991 | −0.175119 | ||||||||
\(700\) | 43.9876 | − | 5.44324i | 1.66258 | − | 0.205735i | ||||
\(701\) | 23.1470 | 0.874250 | 0.437125 | − | 0.899401i | \(-0.355997\pi\) | ||||
0.437125 | + | 0.899401i | \(0.355997\pi\) | |||||||
\(702\) | 4.03386 | − | 6.12447i | 0.152248 | − | 0.231153i | ||||
\(703\) | 10.7990 | − | 5.50236i | 0.407291 | − | 0.207525i | ||||
\(704\) | −0.195112 | − | 0.690640i | −0.00735355 | − | 0.0260295i | ||||
\(705\) | 16.0137 | + | 6.34095i | 0.603110 | + | 0.238814i | ||||
\(706\) | −5.56838 | + | 49.8729i | −0.209569 | + | 1.87699i | ||||
\(707\) | 21.3692 | − | 21.3692i | 0.803672 | − | 0.803672i | ||||
\(708\) | −6.96454 | − | 27.4060i | −0.261744 | − | 1.02998i | ||||
\(709\) | 22.6308 | − | 31.1487i | 0.849919 | − | 1.16981i | −0.133961 | − | 0.990987i | \(-0.542770\pi\) |
0.983881 | − | 0.178827i | \(-0.0572302\pi\) | |||||||
\(710\) | −6.30893 | − | 4.74944i | −0.236770 | − | 0.178243i | ||||
\(711\) | 0.752487 | + | 1.03571i | 0.0282205 | + | 0.0388421i | ||||
\(712\) | −33.1964 | + | 16.1105i | −1.24409 | + | 0.603766i | ||||
\(713\) | −8.71508 | + | 1.38033i | −0.326382 | + | 0.0516939i | ||||
\(714\) | −3.80167 | − | 18.4724i | −0.142274 | − | 0.691313i | ||||
\(715\) | −0.895333 | − | 0.529543i | −0.0334835 | − | 0.0198038i | ||||
\(716\) | −18.3068 | + | 1.68489i | −0.684158 | + | 0.0629673i | ||||
\(717\) | −9.15604 | + | 17.9697i | −0.341939 | + | 0.671092i | ||||
\(718\) | 0.396857 | + | 1.05419i | 0.0148106 | + | 0.0393420i | ||||
\(719\) | 3.78332 | + | 11.6439i | 0.141094 | + | 0.434243i | 0.996488 | − | 0.0837350i | \(-0.0266849\pi\) |
−0.855394 | + | 0.517978i | \(0.826685\pi\) | |||||||
\(720\) | 3.76796 | + | 8.11187i | 0.140423 | + | 0.302312i | ||||
\(721\) | −3.39106 | + | 10.4366i | −0.126290 | + | 0.388680i | ||||
\(722\) | 23.6435 | − | 1.08574i | 0.879920 | − | 0.0404069i | ||||
\(723\) | −6.64075 | − | 1.05179i | −0.246972 | − | 0.0391165i | ||||
\(724\) | −6.91409 | + | 6.06531i | −0.256960 | + | 0.225415i | ||||
\(725\) | −31.2377 | + | 5.95649i | −1.16014 | + | 0.221218i | ||||
\(726\) | −6.41447 | + | 14.1598i | −0.238063 | + | 0.525520i | ||||
\(727\) | −7.14374 | + | 45.1038i | −0.264947 | + | 1.67281i | 0.392842 | + | 0.919606i | \(0.371492\pi\) |
−0.657789 | + | 0.753202i | \(0.728508\pi\) | |||||||
\(728\) | −45.0676 | − | 46.8522i | −1.67032 | − | 1.73646i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | 11.0162 | − | 20.7422i | 0.407729 | − | 0.767702i | ||||
\(731\) | 31.8053 | − | 10.3342i | 1.17636 | − | 0.382223i | ||||
\(732\) | 22.8457 | + | 1.49399i | 0.844402 | + | 0.0552196i | ||||
\(733\) | −37.7569 | − | 19.2381i | −1.39458 | − | 0.710575i | −0.414664 | − | 0.909974i | \(-0.636101\pi\) |
−0.979918 | + | 0.199399i | \(0.936101\pi\) | |||||||
\(734\) | −19.4965 | − | 34.2793i | −0.719629 | − | 1.26527i | ||||
\(735\) | 18.6985 | + | 21.2108i | 0.689703 | + | 0.782373i | ||||
\(736\) | −11.9580 | + | 0.866853i | −0.440779 | + | 0.0319526i | ||||
\(737\) | 0.0290155 | + | 0.183197i | 0.00106880 | + | 0.00674814i | ||||
\(738\) | 13.8837 | + | 3.81658i | 0.511066 | + | 0.140490i | ||||
\(739\) | 8.08428 | − | 5.87357i | 0.297385 | − | 0.216063i | −0.429080 | − | 0.903267i | \(-0.641162\pi\) |
0.726465 | + | 0.687204i | \(0.241162\pi\) | |||||||
\(740\) | 24.7257 | − | 26.1983i | 0.908935 | − | 0.963067i | ||||
\(741\) | 6.31228 | + | 4.58614i | 0.231887 | + | 0.168476i | ||||
\(742\) | 12.6837 | + | 15.8720i | 0.465634 | + | 0.582680i | ||||
\(743\) | 16.3290 | + | 16.3290i | 0.599053 | + | 0.599053i | 0.940060 | − | 0.341008i | \(-0.110768\pi\) |
−0.341008 | + | 0.940060i | \(0.610768\pi\) | |||||||
\(744\) | 6.73515 | + | 9.65903i | 0.246923 | + | 0.354117i | ||||
\(745\) | −1.61316 | − | 6.28381i | −0.0591015 | − | 0.230221i | ||||
\(746\) | 5.26708 | − | 5.77410i | 0.192841 | − | 0.211405i | ||||
\(747\) | −1.03260 | − | 2.02659i | −0.0377809 | − | 0.0741491i | ||||
\(748\) | −0.288125 | − | 0.456501i | −0.0105349 | − | 0.0166913i | ||||
\(749\) | − | 16.9982i | − | 0.621099i | ||||||
\(750\) | −12.6569 | + | 9.47644i | −0.462165 | + | 0.346031i | ||||
\(751\) | − | 42.7056i | − | 1.55835i | −0.626807 | − | 0.779174i | \(-0.715639\pi\) | ||
0.626807 | − | 0.779174i | \(-0.284361\pi\) | |||||||
\(752\) | 29.5440 | + | 8.74181i | 1.07736 | + | 0.318781i | ||||
\(753\) | 12.2889 | + | 24.1184i | 0.447834 | + | 0.878924i | ||||
\(754\) | 34.4593 | + | 31.4334i | 1.25493 | + | 1.14474i | ||||
\(755\) | −2.23540 | − | 8.70767i | −0.0813546 | − | 0.316904i | ||||
\(756\) | −4.53130 | + | 7.61899i | −0.164802 | + | 0.277100i | ||||
\(757\) | −7.75454 | − | 7.75454i | −0.281844 | − | 0.281844i | 0.552000 | − | 0.833844i | \(-0.313865\pi\) |
−0.833844 | + | 0.552000i | \(0.813865\pi\) | |||||||
\(758\) | 20.6001 | − | 16.4621i | 0.748229 | − | 0.597929i | ||||
\(759\) | −0.153821 | − | 0.111758i | −0.00558335 | − | 0.00405654i | ||||
\(760\) | −8.80528 | + | 3.60872i | −0.319401 | + | 0.130902i | ||||
\(761\) | −13.9344 | + | 10.1240i | −0.505123 | + | 0.366993i | −0.810970 | − | 0.585087i | \(-0.801060\pi\) |
0.305847 | + | 0.952081i | \(0.401060\pi\) | |||||||
\(762\) | −1.04213 | + | 3.79100i | −0.0377526 | + | 0.137333i | ||||
\(763\) | −4.76985 | − | 30.1156i | −0.172680 | − | 1.09026i | ||||
\(764\) | −7.98824 | − | 1.80631i | −0.289004 | − | 0.0653501i | ||||
\(765\) | 4.44897 | + | 5.04674i | 0.160853 | + | 0.182465i | ||||
\(766\) | 23.1092 | − | 13.1435i | 0.834970 | − | 0.474893i | ||||
\(767\) | −65.3259 | − | 33.2852i | −2.35878 | − | 1.20186i | ||||
\(768\) | 8.00820 | + | 13.8517i | 0.288971 | + | 0.499829i | ||||
\(769\) | −15.3435 | + | 4.98540i | −0.553300 | + | 0.179778i | −0.572304 | − | 0.820041i | \(-0.693950\pi\) |
0.0190041 | + | 0.999819i | \(0.493950\pi\) | |||||||
\(770\) | 1.11048 | + | 0.589778i | 0.0400189 | + | 0.0212541i | ||||
\(771\) | −0.490780 | − | 0.159464i | −0.0176750 | − | 0.00574295i | ||||
\(772\) | −30.0645 | − | 11.9894i | −1.08205 | − | 0.431507i | ||||
\(773\) | −4.21620 | + | 26.6201i | −0.151646 | + | 0.957457i | 0.788091 | + | 0.615559i | \(0.211070\pi\) |
−0.939737 | + | 0.341898i | \(0.888930\pi\) | |||||||
\(774\) | −14.3183 | − | 6.48625i | −0.514660 | − | 0.233143i | ||||
\(775\) | −14.2507 | + | 15.1732i | −0.511901 | + | 0.545038i | ||||
\(776\) | 3.63305 | + | 11.9670i | 0.130419 | + | 0.429590i | ||||
\(777\) | 35.2634 | + | 5.58517i | 1.26507 | + | 0.200367i | ||||
\(778\) | −0.418881 | − | 9.12175i | −0.0150176 | − | 0.327031i | ||||
\(779\) | −4.73390 | + | 14.5695i | −0.169610 | + | 0.522005i | ||||
\(780\) | 22.2537 | + | 6.52584i | 0.796809 | + | 0.233663i | ||||
\(781\) | −0.0692262 | − | 0.213056i | −0.00247711 | − | 0.00762375i | ||||
\(782\) | −8.44003 | + | 3.17731i | −0.301815 | + | 0.113621i | ||||
\(783\) | 2.88742 | − | 5.66689i | 0.103188 | − | 0.202518i | ||||
\(784\) | 36.7009 | + | 34.8072i | 1.31075 | + | 1.24312i | ||||
\(785\) | −6.30039 | − | 3.72636i | −0.224870 | − | 0.132999i | ||||
\(786\) | 17.1031 | − | 3.51987i | 0.610049 | − | 0.125550i | ||||
\(787\) | 17.4691 | − | 2.76683i | 0.622705 | − | 0.0986268i | 0.162894 | − | 0.986644i | \(-0.447917\pi\) |
0.459811 | + | 0.888017i | \(0.347917\pi\) | |||||||
\(788\) | 13.2449 | + | 11.0124i | 0.471831 | + | 0.392299i | ||||
\(789\) | 8.87859 | + | 12.2203i | 0.316086 | + | 0.435055i | ||||
\(790\) | −2.43484 | + | 3.23432i | −0.0866277 | + | 0.115072i | ||||
\(791\) | −30.2353 | + | 41.6153i | −1.07504 | + | 1.47967i | ||||
\(792\) | −0.0445503 | + | 0.249794i | −0.00158302 | + | 0.00887603i | ||||
\(793\) | 41.9746 | − | 41.9746i | 1.49056 | − | 1.49056i | ||||
\(794\) | 13.3984 | + | 1.49595i | 0.475491 | + | 0.0530892i | ||||
\(795\) | −6.73877 | − | 2.66836i | −0.238999 | − | 0.0946369i | ||||
\(796\) | 16.8506 | + | 39.2049i | 0.597255 | + | 1.38958i | ||||
\(797\) | 19.2719 | − | 9.81954i | 0.682647 | − | 0.347826i | −0.0780351 | − | 0.996951i | \(-0.524865\pi\) |
0.760682 | + | 0.649125i | \(0.224865\pi\) | |||||||
\(798\) | −7.87639 | − | 5.18775i | −0.278821 | − | 0.183645i | ||||
\(799\) | 23.1750 | 0.819873 | ||||||||
\(800\) | −21.0385 | + | 18.9046i | −0.743823 | + | 0.668377i | ||||
\(801\) | 13.0458 | 0.460951 | ||||||||
\(802\) | −16.8241 | − | 11.0811i | −0.594080 | − | 0.391289i | ||||
\(803\) | 0.593645 | − | 0.302477i | 0.0209493 | − | 0.0106742i | ||||
\(804\) | −1.63289 | − | 3.79910i | −0.0575876 | − | 0.133984i | ||||
\(805\) | 13.3902 | − | 16.1847i | 0.471941 | − | 0.570436i | ||||
\(806\) | 30.3427 | + | 3.38780i | 1.06878 | + | 0.119330i | ||||
\(807\) | 14.0702 | − | 14.0702i | 0.495295 | − | 0.495295i | ||||
\(808\) | −3.38601 | + | 18.9854i | −0.119119 | + | 0.667902i | ||||
\(809\) | −17.3745 | + | 23.9139i | −0.610854 | + | 0.840768i | −0.996647 | − | 0.0818172i | \(-0.973928\pi\) |
0.385794 | + | 0.922585i | \(0.373928\pi\) | |||||||
\(810\) | 0.0536939 | − | 3.16182i | 0.00188661 | − | 0.111095i | ||||
\(811\) | 15.1413 | + | 20.8402i | 0.531683 | + | 0.731799i | 0.987386 | − | 0.158333i | \(-0.0506120\pi\) |
−0.455703 | + | 0.890132i | \(0.650612\pi\) | |||||||
\(812\) | −43.3526 | − | 36.0451i | −1.52138 | − | 1.26494i | ||||
\(813\) | 5.63909 | − | 0.893144i | 0.197772 | − | 0.0313239i | ||||
\(814\) | 1.00096 | − | 0.206000i | 0.0350836 | − | 0.00722029i | ||||
\(815\) | 5.90689 | + | 13.6514i | 0.206909 | + | 0.478188i | ||||
\(816\) | 8.73233 | + | 8.28176i | 0.305693 | + | 0.289920i | ||||
\(817\) | 7.59246 | − | 14.9010i | 0.265626 | − | 0.521321i | ||||
\(818\) | −18.3900 | + | 6.92304i | −0.642990 | + | 0.242058i | ||||
\(819\) | 7.10253 | + | 21.8593i | 0.248183 | + | 0.763827i | ||||
\(820\) | 1.31610 | + | 45.5137i | 0.0459603 | + | 1.58941i | ||||
\(821\) | −5.90690 | + | 18.1796i | −0.206152 | + | 0.634471i | 0.793512 | + | 0.608555i | \(0.208250\pi\) |
−0.999664 | + | 0.0259166i | \(0.991750\pi\) | |||||||
\(822\) | −0.295017 | − | 6.42444i | −0.0102899 | − | 0.224078i | ||||
\(823\) | −3.92443 | − | 0.621568i | −0.136797 | − | 0.0216665i | 0.0876604 | − | 0.996150i | \(-0.472061\pi\) |
−0.224457 | + | 0.974484i | \(0.572061\pi\) | |||||||
\(824\) | −2.03427 | − | 6.70075i | −0.0708673 | − | 0.233432i | ||||
\(825\) | −0.448324 | + | 0.0140556i | −0.0156086 | + | 0.000489354i | ||||
\(826\) | 80.7268 | + | 36.5696i | 2.80884 | + | 1.27242i | ||||
\(827\) | −4.58447 | + | 28.9452i | −0.159418 | + | 1.00652i | 0.770147 | + | 0.637866i | \(0.220183\pi\) |
−0.929565 | + | 0.368658i | \(0.879817\pi\) | |||||||
\(828\) | 3.93736 | + | 1.57017i | 0.136833 | + | 0.0545672i | ||||
\(829\) | 33.1072 | + | 10.7572i | 1.14986 | + | 0.373612i | 0.821091 | − | 0.570798i | \(-0.193366\pi\) |
0.328770 | + | 0.944410i | \(0.393366\pi\) | |||||||
\(830\) | 5.17156 | − | 4.99884i | 0.179507 | − | 0.173512i | ||||
\(831\) | −11.1966 | + | 3.63801i | −0.388407 | + | 0.126201i | ||||
\(832\) | 40.6914 | + | 8.07525i | 1.41072 | + | 0.279959i | ||||
\(833\) | 33.9000 | + | 17.2729i | 1.17457 | + | 0.598471i | ||||
\(834\) | 19.7885 | − | 11.2548i | 0.685219 | − | 0.389721i | ||||
\(835\) | 6.43789 | + | 1.43929i | 0.222792 | + | 0.0498087i | ||||
\(836\) | −0.263309 | − | 0.0595397i | −0.00910672 | − | 0.00205923i | ||||
\(837\) | −0.651271 | − | 4.11196i | −0.0225112 | − | 0.142130i | ||||
\(838\) | 7.46297 | − | 27.1482i | 0.257804 | − | 0.937821i | ||||
\(839\) | 21.2823 | − | 15.4625i | 0.734746 | − | 0.533824i | −0.156315 | − | 0.987707i | \(-0.549962\pi\) |
0.891061 | + | 0.453883i | \(0.149962\pi\) | |||||||
\(840\) | −27.2332 | − | 6.64600i | −0.939634 | − | 0.229309i | ||||
\(841\) | 9.26395 | + | 6.73065i | 0.319447 | + | 0.232092i | ||||
\(842\) | 1.23565 | − | 0.987435i | 0.0425831 | − | 0.0340293i | ||||
\(843\) | 5.49279 | + | 5.49279i | 0.189182 | + | 0.189182i | ||||
\(844\) | −26.3576 | + | 44.3181i | −0.907267 | + | 1.52549i | ||||
\(845\) | 26.2258 | − | 16.6420i | 0.902194 | − | 0.572502i | ||||
\(846\) | −8.04777 | − | 7.34109i | −0.276688 | − | 0.252392i | ||||
\(847\) | −22.1183 | − | 43.4096i | −0.759994 | − | 1.49157i | ||||
\(848\) | −12.4325 | − | 3.67867i | −0.426934 | − | 0.126326i | ||||
\(849\) | − | 18.4274i | − | 0.632427i | ||||||
\(850\) | −11.1399 | + | 18.1254i | −0.382097 | + | 0.621696i | ||||
\(851\) | − | 17.0725i | − | 0.585237i | ||||||
\(852\) | 2.66570 | + | 4.22350i | 0.0913255 | + | 0.144695i | ||||
\(853\) | −22.5226 | − | 44.2032i | −0.771161 | − | 1.51349i | −0.855933 | − | 0.517087i | \(-0.827016\pi\) |
0.0847720 | − | 0.996400i | \(-0.472984\pi\) | |||||||
\(854\) | −48.3569 | + | 53.0119i | −1.65474 | + | 1.81403i | ||||
\(855\) | 3.35780 | + | 0.211381i | 0.114834 | + | 0.00722906i | ||||
\(856\) | 6.20425 | + | 8.89765i | 0.212057 | + | 0.304116i | ||||
\(857\) | −1.39722 | − | 1.39722i | −0.0477281 | − | 0.0477281i | 0.682840 | − | 0.730568i | \(-0.260745\pi\) |
−0.730568 | + | 0.682840i | \(0.760745\pi\) | |||||||
\(858\) | 0.410704 | + | 0.513942i | 0.0140212 | + | 0.0175457i | ||||
\(859\) | −8.28918 | − | 6.02244i | −0.282823 | − | 0.205483i | 0.437325 | − | 0.899304i | \(-0.355926\pi\) |
−0.720148 | + | 0.693821i | \(0.755926\pi\) | |||||||
\(860\) | 6.35364 | − | 49.2998i | 0.216657 | − | 1.68111i | ||||
\(861\) | −36.5088 | + | 26.5252i | −1.24422 | + | 0.903975i | ||||
\(862\) | 11.9382 | + | 3.28177i | 0.406616 | + | 0.111778i | ||||
\(863\) | −3.08157 | − | 19.4563i | −0.104898 | − | 0.662299i | −0.982969 | − | 0.183769i | \(-0.941170\pi\) |
0.878072 | − | 0.478529i | \(-0.158830\pi\) | |||||||
\(864\) | −0.409000 | − | 5.64205i | −0.0139144 | − | 0.191946i | ||||
\(865\) | 1.36844 | + | 14.4824i | 0.0465285 | + | 0.492416i | ||||
\(866\) | 11.3103 | + | 19.8862i | 0.384341 | + | 0.675759i | ||||
\(867\) | −7.08120 | − | 3.60805i | −0.240490 | − | 0.122536i | ||||
\(868\) | −36.8267 | − | 2.40828i | −1.24998 | − | 0.0817423i | ||||
\(869\) | −0.109225 | + | 0.0354894i | −0.00370521 | + | 0.00120389i | ||||
\(870\) | 19.8085 | + | 3.48311i | 0.671571 | + | 0.118089i | ||||
\(871\) | −10.1969 | − | 3.31318i | −0.345509 | − | 0.112263i | ||||
\(872\) | 13.4888 | + | 14.0230i | 0.456790 | + | 0.474879i | ||||
\(873\) | 0.691698 | − | 4.36721i | 0.0234104 | − | 0.147808i | ||||
\(874\) | −1.86096 | + | 4.10803i | −0.0629479 | + | 0.138956i | ||||
\(875\) | 1.56210 | − | 49.5301i | 0.0528087 | − | 1.67442i | ||||
\(876\) | −11.1663 | + | 9.79550i | −0.377274 | + | 0.330959i | ||||
\(877\) | −42.7175 | − | 6.76579i | −1.44247 | − | 0.228465i | −0.614357 | − | 0.789028i | \(-0.710585\pi\) |
−0.828111 | + | 0.560564i | \(0.810585\pi\) | |||||||
\(878\) | −44.5287 | + | 2.04481i | −1.50277 | + | 0.0690088i | ||||
\(879\) | 7.22744 | − | 22.2438i | 0.243775 | − | 0.750264i | ||||
\(880\) | −0.796545 | + | 0.0966015i | −0.0268515 | + | 0.00325644i | ||||
\(881\) | −9.84663 | − | 30.3048i | −0.331741 | − | 1.02100i | −0.968305 | − | 0.249771i | \(-0.919645\pi\) |
0.636564 | − | 0.771224i | \(-0.280355\pi\) | |||||||
\(882\) | −6.30063 | − | 16.7366i | −0.212153 | − | 0.563551i | ||||
\(883\) | 19.3210 | − | 37.9195i | 0.650202 | − | 1.27609i | −0.296822 | − | 0.954933i | \(-0.595927\pi\) |
0.947025 | − | 0.321161i | \(-0.104073\pi\) | |||||||
\(884\) | 31.0731 | − | 2.85986i | 1.04510 | − | 0.0961873i | ||||
\(885\) | −31.4745 | + | 2.97403i | −1.05800 | + | 0.0999710i | ||||
\(886\) | 9.17639 | + | 44.5884i | 0.308287 | + | 1.49797i | ||||
\(887\) | −9.67782 | + | 1.53282i | −0.324949 | + | 0.0514669i | −0.316778 | − | 0.948500i | \(-0.602601\pi\) |
−0.00817134 | + | 0.999967i | \(0.502601\pi\) | |||||||
\(888\) | −20.4971 | + | 9.94744i | −0.687839 | + | 0.333814i | ||||
\(889\) | −7.24281 | − | 9.96887i | −0.242916 | − | 0.334345i | ||||
\(890\) | 12.0803 | + | 39.4462i | 0.404933 | + | 1.32224i | ||||
\(891\) | 0.0527296 | − | 0.0725760i | 0.00176651 | − | 0.00243139i | ||||
\(892\) | 12.1854 | + | 47.9503i | 0.407997 | + | 1.60550i | ||||
\(893\) | 8.19496 | − | 8.19496i | 0.274234 | − | 0.274234i | ||||
\(894\) | −0.455287 | + | 4.07776i | −0.0152271 | + | 0.136381i | ||||
\(895\) | −1.29137 | + | 20.5135i | −0.0431658 | + | 0.685692i | ||||
\(896\) | −49.5827 | − | 7.49454i | −1.65644 | − | 0.250375i | ||||
\(897\) | 9.79273 | − | 4.98965i | 0.326970 | − | 0.166599i | ||||
\(898\) | −2.50148 | + | 3.79792i | −0.0834756 | + | 0.126738i | ||||
\(899\) | 26.4785 | 0.883107 | ||||||||
\(900\) | 9.61001 | − | 2.76547i | 0.320334 | − | 0.0921822i | ||||
\(901\) | −9.75235 | −0.324898 | ||||||||
\(902\) | −0.710502 | + | 1.07873i | −0.0236571 | + | 0.0359178i | ||||
\(903\) | 43.8954 | − | 22.3658i | 1.46075 | − | 0.744288i | ||||
\(904\) | 0.637200 | − | 32.8192i | 0.0211929 | − | 1.09155i | ||||
\(905\) | 5.50960 | + | 8.68246i | 0.183145 | + | 0.288615i | ||||
\(906\) | −0.630905 | + | 5.65068i | −0.0209604 | + | 0.187731i | ||||
\(907\) | −18.8705 | + | 18.8705i | −0.626584 | + | 0.626584i | −0.947207 | − | 0.320623i | \(-0.896108\pi\) |
0.320623 | + | 0.947207i | \(0.396108\pi\) | |||||||
\(908\) | −36.7970 | + | 9.35105i | −1.22115 | + | 0.310326i | ||||
\(909\) | 4.00767 | − | 5.51608i | 0.132926 | − | 0.182957i | ||||
\(910\) | −59.5184 | + | 41.7172i | −1.97302 | + | 1.38291i | ||||
\(911\) | −9.42916 | − | 12.9781i | −0.312402 | − | 0.429984i | 0.623726 | − | 0.781643i | \(-0.285618\pi\) |
−0.936128 | + | 0.351658i | \(0.885618\pi\) | |||||||
\(912\) | 6.01639 | − | 0.159326i | 0.199223 | − | 0.00527582i | ||||
\(913\) | 0.201531 | − | 0.0319193i | 0.00666969 | − | 0.00105638i | ||||
\(914\) | −1.73936 | − | 8.45161i | −0.0575329 | − | 0.279554i | ||||
\(915\) | 5.58471 | − | 24.9802i | 0.184625 | − | 0.825819i | ||||
\(916\) | 0.737502 | + | 8.01316i | 0.0243677 | + | 0.264762i | ||||
\(917\) | −24.8454 | + | 48.7618i | −0.820467 | + | 1.61026i | ||||
\(918\) | −1.49912 | − | 3.98218i | −0.0494785 | − | 0.131432i | ||||
\(919\) | −4.00489 | − | 12.3258i | −0.132109 | − | 0.406591i | 0.863020 | − | 0.505170i | \(-0.168570\pi\) |
−0.995129 | + | 0.0985793i | \(0.968570\pi\) | |||||||
\(920\) | −1.10171 | + | 13.3592i | −0.0363224 | + | 0.440440i | ||||
\(921\) | −9.80712 | + | 30.1832i | −0.323156 | + | 0.994571i | ||||
\(922\) | 33.8522 | − | 1.55453i | 1.11486 | − | 0.0511957i | ||||
\(923\) | 12.7901 | + | 2.02575i | 0.420990 | + | 0.0666783i | ||||
\(924\) | −0.524424 | − | 0.597813i | −0.0172523 | − | 0.0196666i | ||||
\(925\) | −24.6829 | − | 31.8259i | −0.811570 | − | 1.04643i | ||||
\(926\) | −23.7338 | + | 52.3920i | −0.779942 | + | 1.72171i | ||||
\(927\) | −0.387307 | + | 2.44536i | −0.0127208 | + | 0.0803161i | ||||
\(928\) | 35.8491 | + | 3.04424i | 1.17681 | + | 0.0999321i | ||||
\(929\) | 13.3466 | + | 4.33657i | 0.437887 | + | 0.142278i | 0.519660 | − | 0.854373i | \(-0.326058\pi\) |
−0.0817736 | + | 0.996651i | \(0.526058\pi\) | |||||||
\(930\) | 11.8301 | − | 5.77686i | 0.387925 | − | 0.189431i | ||||
\(931\) | 18.0954 | − | 5.87954i | 0.593051 | − | 0.192694i | ||||
\(932\) | −0.604254 | + | 9.24009i | −0.0197930 | + | 0.302669i | ||||
\(933\) | 12.9462 | + | 6.59642i | 0.423839 | + | 0.215957i | ||||
\(934\) | −17.9947 | − | 31.6389i | −0.588806 | − | 1.03526i | ||||
\(935\) | −0.553912 | + | 0.239674i | −0.0181148 | + | 0.00783819i | ||||
\(936\) | −11.6964 | − | 8.84984i | −0.382308 | − | 0.289266i | ||||
\(937\) | −4.98334 | − | 31.4636i | −0.162799 | − | 1.02787i | −0.924844 | − | 0.380347i | \(-0.875805\pi\) |
0.762045 | − | 0.647524i | \(-0.224195\pi\) | |||||||
\(938\) | 12.4965 | + | 3.43525i | 0.408025 | + | 0.112165i | ||||
\(939\) | 1.82361 | − | 1.32493i | 0.0595112 | − | 0.0432374i | ||||
\(940\) | 14.7448 | − | 31.1315i | 0.480924 | − | 1.01540i | ||||
\(941\) | −40.7011 | − | 29.5711i | −1.32682 | − | 0.963989i | −0.999820 | − | 0.0189631i | \(-0.993963\pi\) |
−0.326996 | − | 0.945026i | \(-0.606037\pi\) | |||||||
\(942\) | 2.89009 | + | 3.61657i | 0.0941643 | + | 0.117834i | ||||
\(943\) | 15.2587 | + | 15.2587i | 0.496890 | + | 0.496890i | ||||
\(944\) | −55.6040 | + | 10.3226i | −1.80976 | + | 0.335973i | ||||
\(945\) | 7.63629 | + | 6.31777i | 0.248408 | + | 0.205517i | ||||
\(946\) | 0.950320 | − | 1.04180i | 0.0308976 | − | 0.0338719i | ||||
\(947\) | 14.5982 | + | 28.6506i | 0.474377 | + | 0.931018i | 0.996922 | + | 0.0784058i | \(0.0249830\pi\) |
−0.522544 | + | 0.852612i | \(0.675017\pi\) | |||||||
\(948\) | 2.16521 | − | 1.36659i | 0.0703228 | − | 0.0443849i | ||||
\(949\) | 38.5133i | 1.25019i | ||||||||
\(950\) | 2.47014 | + | 10.3486i | 0.0801421 | + | 0.335752i | ||||
\(951\) | 7.94115i | 0.257509i | ||||||||
\(952\) | −37.3623 | + | 5.17628i | −1.21092 | + | 0.167764i | ||||
\(953\) | −20.3126 | − | 39.8657i | −0.657989 | − | 1.29138i | −0.942981 | − | 0.332846i | \(-0.891991\pi\) |
0.284992 | − | 0.958530i | \(-0.408009\pi\) | |||||||
\(954\) | 3.38661 | + | 3.08923i | 0.109645 | + | 0.100017i | ||||
\(955\) | −3.37109 | + | 8.51347i | −0.109086 | + | 0.275489i | ||||
\(956\) | 34.6679 | + | 20.6183i | 1.12124 | + | 0.666844i | ||||
\(957\) | 0.403445 | + | 0.403445i | 0.0130415 | + | 0.0130415i | ||||
\(958\) | −17.4952 | + | 13.9808i | −0.565243 | + | 0.451700i | ||||
\(959\) | 16.3067 | + | 11.8475i | 0.526570 | + | 0.382576i | ||||
\(960\) | 16.6809 | − | 6.46116i | 0.538375 | − | 0.208533i | ||||
\(961\) | −11.0573 | + | 8.03363i | −0.356688 | + | 0.259149i | ||||
\(962\) | −15.6581 | + | 56.9600i | −0.504839 | + | 1.83647i | ||||
\(963\) | −0.599934 | − | 3.78784i | −0.0193326 | − | 0.122061i | ||||
\(964\) | −2.96579 | + | 13.1159i | −0.0955217 | + | 0.422435i | ||||
\(965\) | −18.4220 | + | 31.1473i | −0.593026 | + | 1.00267i | ||||
\(966\) | −11.5481 | + | 6.56801i | −0.371553 | + | 0.211322i | ||||
\(967\) | −8.41681 | − | 4.28858i | −0.270666 | − | 0.137911i | 0.313390 | − | 0.949625i | \(-0.398535\pi\) |
−0.584056 | + | 0.811713i | \(0.698535\pi\) | |||||||
\(968\) | 27.4221 | + | 14.6496i | 0.881381 | + | 0.470856i | ||||
\(969\) | 4.30547 | − | 1.39893i | 0.138312 | − | 0.0449402i | ||||
\(970\) | 13.8455 | − | 1.95253i | 0.444552 | − | 0.0626921i | ||||
\(971\) | −49.9618 | − | 16.2336i | −1.60335 | − | 0.520960i | −0.635417 | − | 0.772169i | \(-0.719172\pi\) |
−0.967933 | + | 0.251209i | \(0.919172\pi\) | |||||||
\(972\) | −0.740840 | + | 1.85773i | −0.0237625 | + | 0.0595867i | ||||
\(973\) | −11.1614 | + | 70.4704i | −0.357819 | + | 2.25918i | ||||
\(974\) | −24.5716 | − | 11.1311i | −0.787325 | − | 0.356662i | ||||
\(975\) | 11.0414 | − | 23.4596i | 0.353608 | − | 0.751309i | ||||
\(976\) | 5.96323 | − | 45.3991i | 0.190878 | − | 1.45319i | ||||
\(977\) | 5.28202 | + | 0.836590i | 0.168987 | + | 0.0267649i | 0.240354 | − | 0.970685i | \(-0.422736\pi\) |
−0.0713675 | + | 0.997450i | \(0.522736\pi\) | |||||||
\(978\) | −0.431548 | − | 9.39759i | −0.0137994 | − | 0.300502i | ||||
\(979\) | −0.361651 | + | 1.11305i | −0.0115584 | + | 0.0355731i | ||||
\(980\) | 44.7716 | − | 34.5489i | 1.43018 | − | 1.10363i | ||||
\(981\) | −2.12581 | − | 6.54256i | −0.0678718 | − | 0.208888i | ||||
\(982\) | −9.20063 | + | 3.46365i | −0.293604 | + | 0.110529i | ||||
\(983\) | −4.87976 | + | 9.57708i | −0.155640 | + | 0.305461i | −0.955639 | − | 0.294540i | \(-0.904833\pi\) |
0.799999 | + | 0.600002i | \(0.204833\pi\) | |||||||
\(984\) | 9.42887 | − | 27.2101i | 0.300581 | − | 0.867426i | ||||
\(985\) | 14.4462 | − | 12.7351i | 0.460294 | − | 0.405774i | ||||
\(986\) | 26.5068 | − | 5.45516i | 0.844149 | − | 0.173728i | ||||
\(987\) | 33.7197 | − | 5.34068i | 1.07331 | − | 0.169996i | ||||
\(988\) | 9.97655 | − | 11.9991i | 0.317396 | − | 0.381742i | ||||
\(989\) | −13.8468 | − | 19.0585i | −0.440302 | − | 0.606024i | ||||
\(990\) | 0.268273 | + | 0.0922318i | 0.00852626 | + | 0.00293132i | ||||
\(991\) | −9.46784 | + | 13.0314i | −0.300756 | + | 0.413955i | −0.932470 | − | 0.361246i | \(-0.882351\pi\) |
0.631715 | + | 0.775201i | \(0.282351\pi\) | |||||||
\(992\) | 20.1559 | − | 12.1810i | 0.639950 | − | 0.386747i | ||||
\(993\) | −22.1608 | + | 22.1608i | −0.703252 | + | 0.703252i | ||||
\(994\) | −15.5563 | − | 1.73689i | −0.493417 | − | 0.0550907i | ||||
\(995\) | 46.2112 | − | 11.8632i | 1.46499 | − | 0.376088i | ||||
\(996\) | −4.17931 | + | 1.79631i | −0.132427 | + | 0.0569182i | ||||
\(997\) | 9.89793 | − | 5.04325i | 0.313471 | − | 0.159721i | −0.290176 | − | 0.956973i | \(-0.593714\pi\) |
0.603647 | + | 0.797252i | \(0.293714\pi\) | |||||||
\(998\) | 0.298608 | + | 0.196677i | 0.00945226 | + | 0.00622570i | ||||
\(999\) | 8.05515 | 0.254854 |
(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.w.a.127.25 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.127.6 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.127.29 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.127.2 | 240 | |||
25.13 | odd | 20 | inner | 300.2.w.a.163.29 | yes | 240 | |
75.38 | even | 20 | 900.2.bj.f.163.2 | 240 | |||
100.63 | even | 20 | inner | 300.2.w.a.163.25 | yes | 240 | |
300.263 | odd | 20 | 900.2.bj.f.163.6 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.127.25 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.127.29 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.163.25 | yes | 240 | 100.63 | even | 20 | inner | |
300.2.w.a.163.29 | yes | 240 | 25.13 | odd | 20 | inner | |
900.2.bj.f.127.2 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.127.6 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.163.2 | 240 | 75.38 | even | 20 | |||
900.2.bj.f.163.6 | 240 | 300.263 | odd | 20 |