Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,2,Mod(3,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.h (of order \(18\), degree \(6\), 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: | \(0.295446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 30x^{16} + 333x^{14} + 1826x^{12} + 5490x^{10} + 9432x^{8} + 9385x^{6} + 5316x^{4} + 1584x^{2} + 192 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 21.1 | ||
Root | \(1.77531i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 37.21 |
Dual form | 37.2.h.a.30.1 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841146 | + | 2.31103i | −0.594780 | + | 1.63414i | 0.166738 | + | 0.986001i | \(0.446677\pi\) |
−0.761518 | + | 0.648144i | \(0.775546\pi\) | |||||||
\(3\) | 2.14040 | − | 0.779043i | 1.23576 | − | 0.449780i | 0.360195 | − | 0.932877i | \(-0.382710\pi\) |
0.875567 | + | 0.483097i | \(0.160488\pi\) | |||||||
\(4\) | −3.10124 | − | 2.60225i | −1.55062 | − | 1.30113i | ||||
\(5\) | −2.84116 | − | 0.500973i | −1.27060 | − | 0.224042i | −0.502618 | − | 0.864508i | \(-0.667630\pi\) |
−0.767986 | + | 0.640467i | \(0.778741\pi\) | |||||||
\(6\) | 5.60182i | 2.28693i | ||||||||
\(7\) | 0.251492 | − | 1.42628i | 0.0950551 | − | 0.539084i | −0.899675 | − | 0.436560i | \(-0.856197\pi\) |
0.994730 | − | 0.102525i | \(-0.0326921\pi\) | |||||||
\(8\) | 4.36277 | − | 2.51884i | 1.54247 | − | 0.890546i | ||||
\(9\) | 1.67628 | − | 1.40657i | 0.558760 | − | 0.468855i | ||||
\(10\) | 3.54759 | − | 6.14461i | 1.12185 | − | 1.94310i | ||||
\(11\) | 1.43354 | + | 2.48297i | 0.432229 | + | 0.748643i | 0.997065 | − | 0.0765604i | \(-0.0243938\pi\) |
−0.564836 | + | 0.825203i | \(0.691060\pi\) | |||||||
\(12\) | −8.66517 | − | 3.15386i | −2.50142 | − | 0.910442i | ||||
\(13\) | −0.863812 | + | 1.02945i | −0.239578 | + | 0.285518i | −0.872414 | − | 0.488768i | \(-0.837446\pi\) |
0.632836 | + | 0.774286i | \(0.281891\pi\) | |||||||
\(14\) | 3.08464 | + | 1.78092i | 0.824405 | + | 0.475970i | ||||
\(15\) | −6.47150 | + | 1.14110i | −1.67093 | + | 0.294631i | ||||
\(16\) | 0.745411 | + | 4.22743i | 0.186353 | + | 1.05686i | ||||
\(17\) | 0.409304 | + | 0.487789i | 0.0992707 | + | 0.118306i | 0.813393 | − | 0.581715i | \(-0.197618\pi\) |
−0.714122 | + | 0.700021i | \(0.753174\pi\) | |||||||
\(18\) | 1.84062 | + | 5.05706i | 0.433838 | + | 1.19196i | ||||
\(19\) | 0.636155 | + | 1.74782i | 0.145944 | + | 0.400978i | 0.991028 | − | 0.133656i | \(-0.0426718\pi\) |
−0.845084 | + | 0.534634i | \(0.820450\pi\) | |||||||
\(20\) | 7.50746 | + | 8.94704i | 1.67872 | + | 2.00062i | ||||
\(21\) | −0.572841 | − | 3.24874i | −0.125004 | − | 0.708934i | ||||
\(22\) | −6.94403 | + | 1.22442i | −1.48047 | + | 0.261047i | ||||
\(23\) | −6.38349 | − | 3.68551i | −1.33105 | − | 0.768481i | −0.345588 | − | 0.938386i | \(-0.612321\pi\) |
−0.985460 | + | 0.169905i | \(0.945654\pi\) | |||||||
\(24\) | 7.37579 | − | 8.79012i | 1.50558 | − | 1.79428i | ||||
\(25\) | 3.12274 | + | 1.13658i | 0.624548 | + | 0.227317i | ||||
\(26\) | −1.65250 | − | 2.86221i | −0.324082 | − | 0.561326i | ||||
\(27\) | −0.924515 | + | 1.60131i | −0.177923 | + | 0.308172i | ||||
\(28\) | −4.49149 | + | 3.76880i | −0.848811 | + | 0.712237i | ||||
\(29\) | 8.44060 | − | 4.87318i | 1.56738 | − | 0.904927i | 0.570906 | − | 0.821015i | \(-0.306592\pi\) |
0.996473 | − | 0.0839118i | \(-0.0267414\pi\) | |||||||
\(30\) | 2.80636 | − | 15.9157i | 0.512369 | − | 2.90579i | ||||
\(31\) | 2.28766i | 0.410876i | 0.978670 | + | 0.205438i | \(0.0658618\pi\) | ||||
−0.978670 | + | 0.205438i | \(0.934138\pi\) | |||||||
\(32\) | −0.474419 | − | 0.0836529i | −0.0838662 | − | 0.0147879i | ||||
\(33\) | 5.00269 | + | 4.19776i | 0.870857 | + | 0.730736i | ||||
\(34\) | −1.47158 | + | 0.535611i | −0.252374 | + | 0.0918565i | ||||
\(35\) | −1.42906 | + | 3.92630i | −0.241555 | + | 0.663666i | ||||
\(36\) | −8.85879 | −1.47646 | ||||||||
\(37\) | 4.38799 | + | 4.21255i | 0.721381 | + | 0.692539i | ||||
\(38\) | −4.57436 | −0.742060 | ||||||||
\(39\) | −1.04692 | + | 2.87639i | −0.167641 | + | 0.460590i | ||||
\(40\) | −13.6572 | + | 4.97081i | −2.15939 | + | 0.785953i | ||||
\(41\) | −4.07527 | − | 3.41956i | −0.636451 | − | 0.534046i | 0.266475 | − | 0.963842i | \(-0.414141\pi\) |
−0.902926 | + | 0.429796i | \(0.858585\pi\) | |||||||
\(42\) | 7.98978 | + | 1.40881i | 1.23285 | + | 0.217385i | ||||
\(43\) | − | 5.16051i | − | 0.786970i | −0.919331 | − | 0.393485i | \(-0.871269\pi\) | ||
0.919331 | − | 0.393485i | \(-0.128731\pi\) | |||||||
\(44\) | 2.01555 | − | 11.4307i | 0.303855 | − | 1.72325i | ||||
\(45\) | −5.46723 | + | 3.15650i | −0.815006 | + | 0.470544i | ||||
\(46\) | 13.8868 | − | 11.6524i | 2.04749 | − | 1.71805i | ||||
\(47\) | −5.53593 | + | 9.58852i | −0.807499 | + | 1.39863i | 0.107092 | + | 0.994249i | \(0.465846\pi\) |
−0.914591 | + | 0.404380i | \(0.867487\pi\) | |||||||
\(48\) | 4.88883 | + | 8.46770i | 0.705642 | + | 1.22221i | ||||
\(49\) | 4.60681 | + | 1.67674i | 0.658116 | + | 0.239535i | ||||
\(50\) | −5.25336 | + | 6.26071i | −0.742937 | + | 0.885398i | ||||
\(51\) | 1.25608 | + | 0.725200i | 0.175887 | + | 0.101548i | ||||
\(52\) | 5.35778 | − | 0.944721i | 0.742991 | − | 0.131009i | ||||
\(53\) | −1.46342 | − | 8.29949i | −0.201017 | − | 1.14002i | −0.903586 | − | 0.428407i | \(-0.859075\pi\) |
0.702569 | − | 0.711616i | \(-0.252036\pi\) | |||||||
\(54\) | −2.92301 | − | 3.48351i | −0.397772 | − | 0.474046i | ||||
\(55\) | −2.82902 | − | 7.77267i | −0.381465 | − | 1.04807i | ||||
\(56\) | −2.49538 | − | 6.85601i | −0.333460 | − | 0.916173i | ||||
\(57\) | 2.72325 | + | 3.24545i | 0.360704 | + | 0.429870i | ||||
\(58\) | 4.16229 | + | 23.6055i | 0.546536 | + | 3.09956i | ||||
\(59\) | 5.35027 | − | 0.943396i | 0.696545 | − | 0.122820i | 0.185846 | − | 0.982579i | \(-0.440498\pi\) |
0.510700 | + | 0.859759i | \(0.329386\pi\) | |||||||
\(60\) | 23.0391 | + | 13.3016i | 2.97434 | + | 1.71723i | ||||
\(61\) | 0.559486 | − | 0.666770i | 0.0716348 | − | 0.0853711i | −0.729037 | − | 0.684474i | \(-0.760032\pi\) |
0.800672 | + | 0.599103i | \(0.204476\pi\) | |||||||
\(62\) | −5.28685 | − | 1.92425i | −0.671430 | − | 0.244381i | ||||
\(63\) | −1.58459 | − | 2.74459i | −0.199639 | − | 0.345786i | ||||
\(64\) | −3.70027 | + | 6.40906i | −0.462534 | + | 0.801132i | ||||
\(65\) | 2.96995 | − | 2.49209i | 0.368377 | − | 0.309105i | ||||
\(66\) | −13.9091 | + | 8.03045i | −1.71210 | + | 0.988480i | ||||
\(67\) | 0.975073 | − | 5.52991i | 0.119124 | − | 0.675586i | −0.865501 | − | 0.500907i | \(-0.833000\pi\) |
0.984625 | − | 0.174679i | \(-0.0558889\pi\) | |||||||
\(68\) | − | 2.57786i | − | 0.312612i | ||||||
\(69\) | −16.5344 | − | 2.91546i | −1.99051 | − | 0.350980i | ||||
\(70\) | −7.87176 | − | 6.60519i | −0.940855 | − | 0.789471i | ||||
\(71\) | 0.480027 | − | 0.174716i | 0.0569687 | − | 0.0207349i | −0.313379 | − | 0.949628i | \(-0.601461\pi\) |
0.370347 | + | 0.928893i | \(0.379239\pi\) | |||||||
\(72\) | 3.77030 | − | 10.3588i | 0.444334 | − | 1.22080i | ||||
\(73\) | −3.16083 | −0.369947 | −0.184973 | − | 0.982744i | \(-0.559220\pi\) | ||||
−0.184973 | + | 0.982744i | \(0.559220\pi\) | |||||||
\(74\) | −13.4263 | + | 6.59740i | −1.56077 | + | 0.766932i | ||||
\(75\) | 7.56936 | 0.874035 | ||||||||
\(76\) | 2.57540 | − | 7.07585i | 0.295419 | − | 0.811656i | ||||
\(77\) | 3.90194 | − | 1.42019i | 0.444667 | − | 0.161846i | ||||
\(78\) | −5.76680 | − | 4.83892i | −0.652962 | − | 0.547900i | ||||
\(79\) | 3.22119 | + | 0.567982i | 0.362412 | + | 0.0639030i | 0.351889 | − | 0.936042i | \(-0.385539\pi\) |
0.0105225 | + | 0.999945i | \(0.496651\pi\) | |||||||
\(80\) | − | 12.3842i | − | 1.38460i | ||||||
\(81\) | −1.87129 | + | 10.6126i | −0.207921 | + | 1.17918i | ||||
\(82\) | 11.3306 | − | 6.54173i | 1.25126 | − | 0.722413i | ||||
\(83\) | −3.83406 | + | 3.21716i | −0.420843 | + | 0.353129i | −0.828484 | − | 0.560013i | \(-0.810796\pi\) |
0.407641 | + | 0.913142i | \(0.366352\pi\) | |||||||
\(84\) | −6.67753 | + | 11.5658i | −0.728578 | + | 1.26193i | ||||
\(85\) | −0.918527 | − | 1.59094i | −0.0996282 | − | 0.172561i | ||||
\(86\) | 11.9261 | + | 4.34074i | 1.28602 | + | 0.468074i | ||||
\(87\) | 14.2699 | − | 17.0062i | 1.52989 | − | 1.82325i | ||||
\(88\) | 12.5084 | + | 7.22174i | 1.33340 | + | 0.769840i | ||||
\(89\) | −0.860158 | + | 0.151669i | −0.0911766 | + | 0.0160769i | −0.219050 | − | 0.975714i | \(-0.570296\pi\) |
0.127874 | + | 0.991790i | \(0.459185\pi\) | |||||||
\(90\) | −2.69604 | − | 15.2900i | −0.284188 | − | 1.61171i | ||||
\(91\) | 1.25105 | + | 1.49094i | 0.131145 | + | 0.156293i | ||||
\(92\) | 10.2061 | + | 28.0411i | 1.06406 | + | 2.92349i | ||||
\(93\) | 1.78218 | + | 4.89651i | 0.184804 | + | 0.507744i | ||||
\(94\) | −17.5028 | − | 20.8590i | −1.80528 | − | 2.15145i | ||||
\(95\) | −0.931805 | − | 5.28453i | −0.0956012 | − | 0.542181i | ||||
\(96\) | −1.08062 | + | 0.190542i | −0.110290 | + | 0.0194471i | ||||
\(97\) | −11.4492 | − | 6.61021i | −1.16249 | − | 0.671165i | −0.210592 | − | 0.977574i | \(-0.567539\pi\) |
−0.951900 | + | 0.306409i | \(0.900872\pi\) | |||||||
\(98\) | −7.75001 | + | 9.23610i | −0.782869 | + | 0.932987i | ||||
\(99\) | 5.89547 | + | 2.14578i | 0.592518 | + | 0.215659i | ||||
\(100\) | −6.72669 | − | 11.6510i | −0.672669 | − | 1.16510i | ||||
\(101\) | 0.897121 | − | 1.55386i | 0.0892669 | − | 0.154615i | −0.817935 | − | 0.575311i | \(-0.804881\pi\) |
0.907201 | + | 0.420696i | \(0.138214\pi\) | |||||||
\(102\) | −2.73251 | + | 2.29285i | −0.270558 | + | 0.227025i | ||||
\(103\) | −14.4610 | + | 8.34904i | −1.42488 | + | 0.822655i | −0.996711 | − | 0.0810425i | \(-0.974175\pi\) |
−0.428170 | + | 0.903698i | \(0.640842\pi\) | |||||||
\(104\) | −1.17558 | + | 6.66706i | −0.115275 | + | 0.653759i | ||||
\(105\) | 9.51716i | 0.928780i | ||||||||
\(106\) | 20.4113 | + | 3.59907i | 1.98252 | + | 0.349572i | ||||
\(107\) | −4.15304 | − | 3.48482i | −0.401490 | − | 0.336890i | 0.419579 | − | 0.907719i | \(-0.362178\pi\) |
−0.821069 | + | 0.570829i | \(0.806622\pi\) | |||||||
\(108\) | 7.03415 | − | 2.56022i | 0.676861 | − | 0.246357i | ||||
\(109\) | −1.39101 | + | 3.82177i | −0.133235 | + | 0.366060i | −0.988313 | − | 0.152440i | \(-0.951287\pi\) |
0.855078 | + | 0.518499i | \(0.173509\pi\) | |||||||
\(110\) | 20.3425 | 1.93958 | ||||||||
\(111\) | 12.6738 | + | 5.59812i | 1.20294 | + | 0.531350i | ||||
\(112\) | 6.21698 | 0.587450 | ||||||||
\(113\) | 3.65921 | − | 10.0536i | 0.344229 | − | 0.945762i | −0.639924 | − | 0.768439i | \(-0.721034\pi\) |
0.984153 | − | 0.177323i | \(-0.0567438\pi\) | |||||||
\(114\) | −9.79098 | + | 3.56362i | −0.917009 | + | 0.333764i | ||||
\(115\) | 16.2902 | + | 13.6691i | 1.51906 | + | 1.27465i | ||||
\(116\) | −38.8576 | − | 6.85164i | −3.60784 | − | 0.636159i | ||||
\(117\) | 2.94066i | 0.271864i | ||||||||
\(118\) | −2.32014 | + | 13.1582i | −0.213586 | + | 1.21131i | ||||
\(119\) | 0.798662 | − | 0.461108i | 0.0732132 | − | 0.0422697i | ||||
\(120\) | −25.3594 | + | 21.2790i | −2.31498 | + | 1.94250i | ||||
\(121\) | 1.38991 | − | 2.40740i | 0.126356 | − | 0.218855i | ||||
\(122\) | 1.07031 | + | 1.85384i | 0.0969017 | + | 0.167839i | ||||
\(123\) | −11.3867 | − | 4.14442i | −1.02670 | − | 0.373690i | ||||
\(124\) | 5.95306 | − | 7.09458i | 0.534601 | − | 0.637112i | ||||
\(125\) | 4.18956 | + | 2.41885i | 0.374726 | + | 0.216348i | ||||
\(126\) | 7.67570 | − | 1.35343i | 0.683806 | − | 0.120573i | ||||
\(127\) | 1.32583 | + | 7.51915i | 0.117648 | + | 0.667216i | 0.985405 | + | 0.170227i | \(0.0544501\pi\) |
−0.867757 | + | 0.496989i | \(0.834439\pi\) | |||||||
\(128\) | −12.3184 | − | 14.6805i | −1.08880 | − | 1.29758i | ||||
\(129\) | −4.02026 | − | 11.0456i | −0.353964 | − | 0.972508i | ||||
\(130\) | 3.26112 | + | 8.95986i | 0.286019 | + | 0.785832i | ||||
\(131\) | 4.79709 | + | 5.71695i | 0.419123 | + | 0.499492i | 0.933752 | − | 0.357922i | \(-0.116514\pi\) |
−0.514628 | + | 0.857413i | \(0.672070\pi\) | |||||||
\(132\) | −4.59094 | − | 26.0365i | −0.399590 | − | 2.26619i | ||||
\(133\) | 2.65287 | − | 0.467773i | 0.230033 | − | 0.0405611i | ||||
\(134\) | 11.9596 | + | 6.90488i | 1.03315 | + | 0.596491i | ||||
\(135\) | 3.42890 | − | 4.08641i | 0.295113 | − | 0.351702i | ||||
\(136\) | 3.01436 | + | 1.09714i | 0.258479 | + | 0.0940787i | ||||
\(137\) | −5.81227 | − | 10.0671i | −0.496576 | − | 0.860095i | 0.503416 | − | 0.864044i | \(-0.332076\pi\) |
−0.999992 | + | 0.00394934i | \(0.998743\pi\) | |||||||
\(138\) | 20.6456 | − | 35.7591i | 1.75747 | − | 3.04402i | ||||
\(139\) | 9.84996 | − | 8.26509i | 0.835462 | − | 0.701036i | −0.121076 | − | 0.992643i | \(-0.538634\pi\) |
0.956538 | + | 0.291607i | \(0.0941900\pi\) | |||||||
\(140\) | 14.6491 | − | 8.45765i | 1.23807 | − | 0.714802i | ||||
\(141\) | −4.37926 | + | 24.8360i | −0.368800 | + | 2.09157i | ||||
\(142\) | 1.25632i | 0.105428i | ||||||||
\(143\) | −3.79441 | − | 0.669056i | −0.317304 | − | 0.0559493i | ||||
\(144\) | 7.19568 | + | 6.03789i | 0.599640 | + | 0.503158i | ||||
\(145\) | −26.4224 | + | 9.61697i | −2.19426 | + | 0.798646i | ||||
\(146\) | 2.65872 | − | 7.30477i | 0.220037 | − | 0.604547i | ||||
\(147\) | 11.1667 | 0.921013 | ||||||||
\(148\) | −2.64610 | − | 24.4828i | −0.217508 | − | 2.01247i | ||||
\(149\) | −0.277891 | −0.0227657 | −0.0113829 | − | 0.999935i | \(-0.503623\pi\) | ||||
−0.0113829 | + | 0.999935i | \(0.503623\pi\) | |||||||
\(150\) | −6.36694 | + | 17.4930i | −0.519858 | + | 1.42830i | ||||
\(151\) | −9.04205 | + | 3.29104i | −0.735832 | + | 0.267821i | −0.682631 | − | 0.730763i | \(-0.739164\pi\) |
−0.0532005 | + | 0.998584i | \(0.516942\pi\) | |||||||
\(152\) | 7.17788 | + | 6.02296i | 0.582203 | + | 0.488526i | ||||
\(153\) | 1.37221 | + | 0.241958i | 0.110937 | + | 0.0195612i | ||||
\(154\) | 10.2121i | 0.822913i | ||||||||
\(155\) | 1.14605 | − | 6.49960i | 0.0920533 | − | 0.522060i | ||||
\(156\) | 10.7318 | − | 6.19602i | 0.859234 | − | 0.496079i | ||||
\(157\) | −4.99851 | + | 4.19425i | −0.398924 | + | 0.334737i | −0.820078 | − | 0.572252i | \(-0.806070\pi\) |
0.421153 | + | 0.906989i | \(0.361625\pi\) | |||||||
\(158\) | −4.02211 | + | 6.96650i | −0.319982 | + | 0.554225i | ||||
\(159\) | −9.59797 | − | 16.6242i | −0.761169 | − | 1.31838i | ||||
\(160\) | 1.30599 | + | 0.475342i | 0.103248 | + | 0.0375791i | ||||
\(161\) | −6.86197 | + | 8.17778i | −0.540799 | + | 0.644499i | ||||
\(162\) | −22.9521 | − | 13.2514i | −1.80328 | − | 1.04113i | ||||
\(163\) | −9.22022 | + | 1.62577i | −0.722183 | + | 0.127340i | −0.522646 | − | 0.852550i | \(-0.675055\pi\) |
−0.199537 | + | 0.979890i | \(0.563944\pi\) | |||||||
\(164\) | 3.73986 | + | 21.2098i | 0.292034 | + | 1.65621i | ||||
\(165\) | −12.1105 | − | 14.4327i | −0.942800 | − | 1.12358i | ||||
\(166\) | −4.20994 | − | 11.5667i | −0.326755 | − | 0.897752i | ||||
\(167\) | −2.13679 | − | 5.87080i | −0.165350 | − | 0.454296i | 0.829151 | − | 0.559025i | \(-0.188825\pi\) |
−0.994501 | + | 0.104730i | \(0.966602\pi\) | |||||||
\(168\) | −10.6822 | − | 12.7306i | −0.824153 | − | 0.982187i | ||||
\(169\) | 1.94383 | + | 11.0240i | 0.149525 | + | 0.848000i | ||||
\(170\) | 4.44931 | − | 0.784534i | 0.341247 | − | 0.0601710i | ||||
\(171\) | 3.52480 | + | 2.03504i | 0.269548 | + | 0.155624i | ||||
\(172\) | −13.4289 | + | 16.0040i | −1.02395 | + | 1.22029i | ||||
\(173\) | 22.8408 | + | 8.31338i | 1.73655 | + | 0.632054i | 0.999062 | − | 0.0433007i | \(-0.0137874\pi\) |
0.737493 | + | 0.675355i | \(0.236010\pi\) | |||||||
\(174\) | 27.2987 | + | 47.2827i | 2.06951 | + | 3.58449i | ||||
\(175\) | 2.40643 | − | 4.16807i | 0.181909 | − | 0.315076i | ||||
\(176\) | −9.42801 | + | 7.91104i | −0.710663 | + | 0.596317i | ||||
\(177\) | 10.7168 | − | 6.18733i | 0.805522 | − | 0.465068i | ||||
\(178\) | 0.373007 | − | 2.11543i | 0.0279580 | − | 0.158558i | ||||
\(179\) | 16.5110i | 1.23409i | 0.786927 | + | 0.617045i | \(0.211671\pi\) | ||||
−0.786927 | + | 0.617045i | \(0.788329\pi\) | |||||||
\(180\) | 25.1692 | + | 4.43801i | 1.87600 | + | 0.330790i | ||||
\(181\) | 2.79042 | + | 2.34144i | 0.207410 | + | 0.174038i | 0.740575 | − | 0.671973i | \(-0.234553\pi\) |
−0.533165 | + | 0.846011i | \(0.678998\pi\) | |||||||
\(182\) | −4.49792 | + | 1.63711i | −0.333408 | + | 0.121351i | ||||
\(183\) | 0.678083 | − | 1.86302i | 0.0501254 | − | 0.137718i | ||||
\(184\) | −37.1329 | −2.73747 | ||||||||
\(185\) | −10.3566 | − | 14.1668i | −0.761432 | − | 1.04156i | ||||
\(186\) | −12.8151 | −0.939645 | ||||||||
\(187\) | −0.624410 | + | 1.71555i | −0.0456614 | + | 0.125454i | ||||
\(188\) | 42.1200 | − | 15.3304i | 3.07192 | − | 1.11809i | ||||
\(189\) | 2.05141 | + | 1.72134i | 0.149218 | + | 0.125209i | ||||
\(190\) | 12.9965 | + | 2.29163i | 0.942865 | + | 0.166252i | ||||
\(191\) | 8.78784i | 0.635866i | 0.948113 | + | 0.317933i | \(0.102989\pi\) | ||||
−0.948113 | + | 0.317933i | \(0.897011\pi\) | |||||||
\(192\) | −2.92714 | + | 16.6006i | −0.211248 | + | 1.19805i | ||||
\(193\) | 9.10990 | − | 5.25960i | 0.655745 | − | 0.378594i | −0.134909 | − | 0.990858i | \(-0.543074\pi\) |
0.790654 | + | 0.612264i | \(0.209741\pi\) | |||||||
\(194\) | 24.9068 | − | 20.8993i | 1.78821 | − | 1.50048i | ||||
\(195\) | 4.41545 | − | 7.64779i | 0.316197 | − | 0.547669i | ||||
\(196\) | −9.92354 | − | 17.1881i | −0.708824 | − | 1.22772i | ||||
\(197\) | 14.0980 | + | 5.13126i | 1.00444 | + | 0.365587i | 0.791296 | − | 0.611433i | \(-0.209407\pi\) |
0.213147 | + | 0.977020i | \(0.431629\pi\) | |||||||
\(198\) | −9.91791 | + | 11.8197i | −0.704835 | + | 0.839990i | ||||
\(199\) | −9.44027 | − | 5.45034i | −0.669203 | − | 0.386364i | 0.126572 | − | 0.991957i | \(-0.459603\pi\) |
−0.795774 | + | 0.605593i | \(0.792936\pi\) | |||||||
\(200\) | 16.4867 | − | 2.90704i | 1.16578 | − | 0.205559i | ||||
\(201\) | −2.22099 | − | 12.5959i | −0.156656 | − | 0.888443i | ||||
\(202\) | 2.83641 | + | 3.38030i | 0.199569 | + | 0.237837i | ||||
\(203\) | −4.82779 | − | 13.2642i | −0.338844 | − | 0.930968i | ||||
\(204\) | −2.00826 | − | 5.51766i | −0.140607 | − | 0.386314i | ||||
\(205\) | 9.86539 | + | 11.7571i | 0.689029 | + | 0.821152i | ||||
\(206\) | −7.13110 | − | 40.4425i | −0.496847 | − | 2.81776i | ||||
\(207\) | −15.8844 | + | 2.80085i | −1.10404 | + | 0.194673i | ||||
\(208\) | −4.99583 | − | 2.88435i | −0.346399 | − | 0.199993i | ||||
\(209\) | −3.42783 | + | 4.08513i | −0.237108 | + | 0.282574i | ||||
\(210\) | −21.9945 | − | 8.00533i | −1.51776 | − | 0.552420i | ||||
\(211\) | −2.27056 | − | 3.93273i | −0.156312 | − | 0.270740i | 0.777224 | − | 0.629224i | \(-0.216627\pi\) |
−0.933536 | + | 0.358484i | \(0.883294\pi\) | |||||||
\(212\) | −17.0589 | + | 29.5469i | −1.17161 | + | 2.02929i | ||||
\(213\) | 0.891340 | − | 0.747923i | 0.0610736 | − | 0.0512468i | ||||
\(214\) | 11.5468 | − | 6.66656i | 0.789325 | − | 0.455717i | ||||
\(215\) | −2.58527 | + | 14.6618i | −0.176314 | + | 0.999928i | ||||
\(216\) | 9.31483i | 0.633794i | ||||||||
\(217\) | 3.26285 | + | 0.575328i | 0.221497 | + | 0.0390558i | ||||
\(218\) | −7.66219 | − | 6.42934i | −0.518949 | − | 0.435450i | ||||
\(219\) | −6.76544 | + | 2.46242i | −0.457166 | + | 0.166395i | ||||
\(220\) | −11.4530 | + | 31.4668i | −0.772159 | + | 2.12149i | ||||
\(221\) | −0.855716 | −0.0575617 | ||||||||
\(222\) | −23.5979 | + | 24.5807i | −1.58379 | + | 1.64975i | ||||
\(223\) | 1.64789 | 0.110351 | 0.0551756 | − | 0.998477i | \(-0.482428\pi\) | ||||
0.0551756 | + | 0.998477i | \(0.482428\pi\) | |||||||
\(224\) | −0.238625 | + | 0.655618i | −0.0159438 | + | 0.0438053i | ||||
\(225\) | 6.83326 | − | 2.48710i | 0.455551 | − | 0.165807i | ||||
\(226\) | 20.1562 | + | 16.9131i | 1.34077 | + | 1.12504i | ||||
\(227\) | 15.8787 | + | 2.79985i | 1.05391 | + | 0.185833i | 0.673652 | − | 0.739049i | \(-0.264725\pi\) |
0.380256 | + | 0.924881i | \(0.375836\pi\) | |||||||
\(228\) | − | 17.1515i | − | 1.13589i | ||||||
\(229\) | 4.10288 | − | 23.2686i | 0.271126 | − | 1.53763i | −0.479879 | − | 0.877335i | \(-0.659319\pi\) |
0.751005 | − | 0.660297i | \(-0.229570\pi\) | |||||||
\(230\) | −45.2920 | + | 26.1493i | −2.98647 | + | 1.72424i | ||||
\(231\) | 7.24533 | − | 6.07955i | 0.476708 | − | 0.400005i | ||||
\(232\) | 24.5496 | − | 42.5211i | 1.61176 | − | 2.79165i | ||||
\(233\) | 11.7613 | + | 20.3712i | 0.770510 | + | 1.33456i | 0.937283 | + | 0.348568i | \(0.113332\pi\) |
−0.166773 | + | 0.985995i | \(0.553335\pi\) | |||||||
\(234\) | −6.79594 | − | 2.47352i | −0.444265 | − | 0.161699i | ||||
\(235\) | 20.5320 | − | 24.4691i | 1.33936 | − | 1.59619i | ||||
\(236\) | −19.0474 | − | 10.9970i | −1.23988 | − | 0.715846i | ||||
\(237\) | 7.33711 | − | 1.29373i | 0.476597 | − | 0.0840369i | ||||
\(238\) | 0.393842 | + | 2.23359i | 0.0255290 | + | 0.144782i | ||||
\(239\) | 11.1037 | + | 13.2329i | 0.718239 | + | 0.855964i | 0.994458 | − | 0.105131i | \(-0.0335261\pi\) |
−0.276219 | + | 0.961095i | \(0.589082\pi\) | |||||||
\(240\) | −9.64785 | − | 26.5072i | −0.622766 | − | 1.71104i | ||||
\(241\) | −5.67360 | − | 15.5881i | −0.365468 | − | 1.00412i | −0.977064 | − | 0.212946i | \(-0.931694\pi\) |
0.611596 | − | 0.791170i | \(-0.290528\pi\) | |||||||
\(242\) | 4.39445 | + | 5.23711i | 0.282486 | + | 0.336654i | ||||
\(243\) | 3.29913 | + | 18.7103i | 0.211639 | + | 1.20027i | ||||
\(244\) | −3.47020 | + | 0.611891i | −0.222157 | + | 0.0391723i | ||||
\(245\) | −12.2487 | − | 7.07178i | −0.782539 | − | 0.451799i | ||||
\(246\) | 19.1558 | − | 22.8290i | 1.22133 | − | 1.45552i | ||||
\(247\) | −2.34881 | − | 0.854898i | −0.149451 | − | 0.0543959i | ||||
\(248\) | 5.76225 | + | 9.98052i | 0.365904 | + | 0.633764i | ||||
\(249\) | −5.70013 | + | 9.87291i | −0.361231 | + | 0.625670i | ||||
\(250\) | −9.11406 | + | 7.64760i | −0.576424 | + | 0.483677i | ||||
\(251\) | −14.5088 | + | 8.37666i | −0.915788 | + | 0.528730i | −0.882289 | − | 0.470708i | \(-0.843998\pi\) |
−0.0334990 | + | 0.999439i | \(0.510665\pi\) | |||||||
\(252\) | −2.22792 | + | 12.6351i | −0.140345 | + | 0.795939i | ||||
\(253\) | − | 21.1333i | − | 1.32864i | ||||||
\(254\) | −18.4922 | − | 3.26067i | −1.16030 | − | 0.204593i | ||||
\(255\) | −3.20542 | − | 2.68967i | −0.200731 | − | 0.168434i | ||||
\(256\) | 30.3800 | − | 11.0574i | 1.89875 | − | 0.691089i | ||||
\(257\) | 8.38370 | − | 23.0340i | 0.522961 | − | 1.43682i | −0.344248 | − | 0.938879i | \(-0.611866\pi\) |
0.867209 | − | 0.497944i | \(-0.165912\pi\) | |||||||
\(258\) | 28.9082 | 1.79975 | ||||||||
\(259\) | 7.11183 | − | 5.19909i | 0.441908 | − | 0.323056i | ||||
\(260\) | −15.6956 | −0.973399 | ||||||||
\(261\) | 7.29435 | − | 20.0411i | 0.451509 | − | 1.24051i | ||||
\(262\) | −17.2471 | + | 6.27743i | −1.06553 | + | 0.387821i | ||||
\(263\) | −12.5527 | − | 10.5329i | −0.774031 | − | 0.649489i | 0.167707 | − | 0.985837i | \(-0.446364\pi\) |
−0.941738 | + | 0.336348i | \(0.890808\pi\) | |||||||
\(264\) | 32.3991 | + | 5.71283i | 1.99403 | + | 0.351601i | ||||
\(265\) | 24.3133i | 1.49355i | ||||||||
\(266\) | −1.15042 | + | 6.52434i | −0.0705366 | + | 0.400033i | ||||
\(267\) | −1.72293 | + | 0.994733i | −0.105441 | + | 0.0608766i | ||||
\(268\) | −17.4142 | + | 14.6122i | −1.06374 | + | 0.892583i | ||||
\(269\) | −8.69998 | + | 15.0688i | −0.530447 | + | 0.918761i | 0.468922 | + | 0.883240i | \(0.344643\pi\) |
−0.999369 | + | 0.0355214i | \(0.988691\pi\) | |||||||
\(270\) | 6.55960 | + | 11.3616i | 0.399205 | + | 0.691443i | ||||
\(271\) | −2.64225 | − | 0.961701i | −0.160505 | − | 0.0584192i | 0.260518 | − | 0.965469i | \(-0.416107\pi\) |
−0.421023 | + | 0.907050i | \(0.638329\pi\) | |||||||
\(272\) | −1.75700 | + | 2.09391i | −0.106534 | + | 0.126962i | ||||
\(273\) | 3.83925 | + | 2.21659i | 0.232362 | + | 0.134154i | ||||
\(274\) | 28.1545 | − | 4.96439i | 1.70087 | − | 0.299910i | ||||
\(275\) | 1.65448 | + | 9.38300i | 0.0997687 | + | 0.565816i | ||||
\(276\) | 43.6904 | + | 52.0682i | 2.62985 | + | 3.13414i | ||||
\(277\) | 7.59101 | + | 20.8561i | 0.456100 | + | 1.25312i | 0.928366 | + | 0.371667i | \(0.121214\pi\) |
−0.472266 | + | 0.881456i | \(0.656564\pi\) | |||||||
\(278\) | 10.8156 | + | 29.7157i | 0.648678 | + | 1.78223i | ||||
\(279\) | 3.21774 | + | 3.83476i | 0.192641 | + | 0.229581i | ||||
\(280\) | 3.65510 | + | 20.7291i | 0.218434 | + | 1.23880i | ||||
\(281\) | −0.813808 | + | 0.143496i | −0.0485477 | + | 0.00856027i | −0.197869 | − | 0.980228i | \(-0.563402\pi\) |
0.149322 | + | 0.988789i | \(0.452291\pi\) | |||||||
\(282\) | −53.7131 | − | 31.0113i | −3.19857 | − | 1.84670i | ||||
\(283\) | −18.5213 | + | 22.0728i | −1.10098 | + | 1.31209i | −0.154980 | + | 0.987918i | \(0.549531\pi\) |
−0.945997 | + | 0.324176i | \(0.894913\pi\) | |||||||
\(284\) | −1.94333 | − | 0.707316i | −0.115316 | − | 0.0419715i | ||||
\(285\) | −6.11131 | − | 10.5851i | −0.362003 | − | 0.627007i | ||||
\(286\) | 4.73786 | − | 8.20621i | 0.280155 | − | 0.485243i | ||||
\(287\) | −5.90216 | + | 4.95250i | −0.348394 | + | 0.292337i | ||||
\(288\) | −0.912922 | + | 0.527076i | −0.0537944 | + | 0.0310582i | ||||
\(289\) | 2.88161 | − | 16.3424i | 0.169506 | − | 0.961319i | ||||
\(290\) | − | 69.1522i | − | 4.06076i | ||||||
\(291\) | −29.6556 | − | 5.22907i | −1.73844 | − | 0.306534i | ||||
\(292\) | 9.80249 | + | 8.22527i | 0.573648 | + | 0.481347i | ||||
\(293\) | −2.54298 | + | 0.925570i | −0.148563 | + | 0.0540723i | −0.415231 | − | 0.909716i | \(-0.636299\pi\) |
0.266669 | + | 0.963788i | \(0.414077\pi\) | |||||||
\(294\) | −9.39281 | + | 25.8065i | −0.547800 | + | 1.50507i | ||||
\(295\) | −15.6736 | −0.912550 | ||||||||
\(296\) | 29.7545 | + | 7.32571i | 1.72945 | + | 0.425798i | ||||
\(297\) | −5.30132 | −0.307614 | ||||||||
\(298\) | 0.233747 | − | 0.642215i | 0.0135406 | − | 0.0372025i | ||||
\(299\) | 9.30818 | − | 3.38790i | 0.538306 | − | 0.195927i | ||||
\(300\) | −23.4744 | − | 19.6974i | −1.35530 | − | 1.13723i | ||||
\(301\) | −7.36035 | − | 1.29783i | −0.424243 | − | 0.0748055i | ||||
\(302\) | − | 23.6647i | − | 1.36175i | ||||||
\(303\) | 0.709677 | − | 4.02478i | 0.0407699 | − | 0.231218i | ||||
\(304\) | −6.91460 | + | 3.99215i | −0.396580 | + | 0.228965i | ||||
\(305\) | −1.92362 | + | 1.61411i | −0.110146 | + | 0.0924237i | ||||
\(306\) | −1.71341 | + | 2.96771i | −0.0979489 | + | 0.169652i | ||||
\(307\) | −8.78442 | − | 15.2151i | −0.501353 | − | 0.868369i | −0.999999 | − | 0.00156318i | \(-0.999502\pi\) |
0.498646 | − | 0.866806i | \(-0.333831\pi\) | |||||||
\(308\) | −15.7966 | − | 5.74948i | −0.900092 | − | 0.327607i | ||||
\(309\) | −24.4480 | + | 29.1360i | −1.39080 | + | 1.65749i | ||||
\(310\) | 14.0568 | + | 8.11568i | 0.798371 | + | 0.460939i | ||||
\(311\) | −4.39059 | + | 0.774179i | −0.248967 | + | 0.0438997i | −0.296739 | − | 0.954959i | \(-0.595899\pi\) |
0.0477716 | + | 0.998858i | \(0.484788\pi\) | |||||||
\(312\) | 2.67771 | + | 15.1860i | 0.151595 | + | 0.859739i | ||||
\(313\) | 12.9678 | + | 15.4545i | 0.732985 | + | 0.873537i | 0.995823 | − | 0.0913024i | \(-0.0291030\pi\) |
−0.262838 | + | 0.964840i | \(0.584659\pi\) | |||||||
\(314\) | −5.48855 | − | 15.0797i | −0.309737 | − | 0.850995i | ||||
\(315\) | 3.12710 | + | 8.59165i | 0.176192 | + | 0.484084i | ||||
\(316\) | −8.51165 | − | 10.1438i | −0.478818 | − | 0.570633i | ||||
\(317\) | −1.48509 | − | 8.42239i | −0.0834112 | − | 0.473049i | −0.997688 | − | 0.0679587i | \(-0.978351\pi\) |
0.914277 | − | 0.405090i | \(-0.132760\pi\) | |||||||
\(318\) | 46.4923 | − | 8.19784i | 2.60716 | − | 0.459712i | ||||
\(319\) | 24.1999 | + | 13.9718i | 1.35493 | + | 0.782272i | ||||
\(320\) | 13.7238 | − | 16.3554i | 0.767184 | − | 0.914295i | ||||
\(321\) | −11.6040 | − | 4.22351i | −0.647672 | − | 0.235733i | ||||
\(322\) | −13.1272 | − | 22.7369i | −0.731549 | − | 1.26708i | ||||
\(323\) | −0.592187 | + | 1.02570i | −0.0329502 | + | 0.0570714i | ||||
\(324\) | 33.4201 | − | 28.0428i | 1.85667 | − | 1.55793i | ||||
\(325\) | −3.86752 | + | 2.23291i | −0.214531 | + | 0.123860i | ||||
\(326\) | 3.99834 | − | 22.6757i | 0.221447 | − | 1.25589i | ||||
\(327\) | 9.26379i | 0.512289i | ||||||||
\(328\) | −26.3928 | − | 4.65376i | −1.45730 | − | 0.256961i | ||||
\(329\) | 12.2837 | + | 10.3072i | 0.677222 | + | 0.568257i | ||||
\(330\) | 43.5411 | − | 15.8477i | 2.39686 | − | 0.872385i | ||||
\(331\) | −3.54657 | + | 9.74413i | −0.194937 | + | 0.535586i | −0.998196 | − | 0.0600450i | \(-0.980876\pi\) |
0.803258 | + | 0.595631i | \(0.203098\pi\) | |||||||
\(332\) | 20.2622 | 1.11203 | ||||||||
\(333\) | 13.2807 | + | 0.889416i | 0.727779 | + | 0.0487397i | ||||
\(334\) | 15.3649 | 0.840732 | ||||||||
\(335\) | −5.54067 | + | 15.2229i | −0.302719 | + | 0.831714i | ||||
\(336\) | 13.3068 | − | 4.84329i | 0.725948 | − | 0.264223i | ||||
\(337\) | −18.3101 | − | 15.3640i | −0.997415 | − | 0.836930i | −0.0107907 | − | 0.999942i | \(-0.503435\pi\) |
−0.986624 | + | 0.163011i | \(0.947879\pi\) | |||||||
\(338\) | −27.1118 | − | 4.78055i | −1.47469 | − | 0.260027i | ||||
\(339\) | − | 24.3694i | − | 1.32356i | ||||||
\(340\) | −1.29144 | + | 7.32411i | −0.0700381 | + | 0.397206i | ||||
\(341\) | −5.68018 | + | 3.27946i | −0.307599 | + | 0.177592i | ||||
\(342\) | −7.66791 | + | 6.43414i | −0.414633 | + | 0.347919i | ||||
\(343\) | 8.61909 | − | 14.9287i | 0.465387 | − | 0.806074i | ||||
\(344\) | −12.9985 | − | 22.5141i | −0.700833 | − | 1.21388i | ||||
\(345\) | 45.5162 | + | 16.5666i | 2.45051 | + | 0.891914i | ||||
\(346\) | −38.4249 | + | 45.7930i | −2.06574 | + | 2.46185i | ||||
\(347\) | 26.6673 | + | 15.3964i | 1.43158 | + | 0.826521i | 0.997241 | − | 0.0742306i | \(-0.0236501\pi\) |
0.434335 | + | 0.900751i | \(0.356983\pi\) | |||||||
\(348\) | −88.5086 | + | 15.6064i | −4.74456 | + | 0.836593i | ||||
\(349\) | −2.68233 | − | 15.2123i | −0.143582 | − | 0.814294i | −0.968495 | − | 0.249034i | \(-0.919887\pi\) |
0.824913 | − | 0.565260i | \(-0.191224\pi\) | |||||||
\(350\) | 7.60836 | + | 9.06730i | 0.406684 | + | 0.484667i | ||||
\(351\) | −0.849860 | − | 2.33497i | −0.0453622 | − | 0.124632i | ||||
\(352\) | −0.472392 | − | 1.29789i | −0.0251786 | − | 0.0691776i | ||||
\(353\) | −8.03901 | − | 9.58052i | −0.427873 | − | 0.509919i | 0.508434 | − | 0.861101i | \(-0.330225\pi\) |
−0.936307 | + | 0.351181i | \(0.885780\pi\) | |||||||
\(354\) | 5.28474 | + | 29.9712i | 0.280881 | + | 1.59295i | ||||
\(355\) | −1.45136 | + | 0.255914i | −0.0770302 | + | 0.0135825i | ||||
\(356\) | 3.06224 | + | 1.76799i | 0.162298 | + | 0.0937030i | ||||
\(357\) | 1.35023 | − | 1.60915i | 0.0714620 | − | 0.0851651i | ||||
\(358\) | −38.1574 | − | 13.8882i | −2.01668 | − | 0.734013i | ||||
\(359\) | −2.15674 | − | 3.73559i | −0.113829 | − | 0.197157i | 0.803482 | − | 0.595329i | \(-0.202978\pi\) |
−0.917311 | + | 0.398172i | \(0.869645\pi\) | |||||||
\(360\) | −15.9015 | + | 27.5422i | −0.838082 | + | 1.45160i | ||||
\(361\) | 11.9047 | − | 9.98920i | 0.626561 | − | 0.525747i | ||||
\(362\) | −7.75828 | + | 4.47925i | −0.407766 | + | 0.235424i | ||||
\(363\) | 1.09951 | − | 6.23561i | 0.0577091 | − | 0.327284i | ||||
\(364\) | − | 7.87930i | − | 0.412988i | ||||||
\(365\) | 8.98041 | + | 1.58349i | 0.470056 | + | 0.0828836i | ||||
\(366\) | 3.73512 | + | 3.13414i | 0.195238 | + | 0.163824i | ||||
\(367\) | 21.4032 | − | 7.79014i | 1.11724 | − | 0.406642i | 0.283595 | − | 0.958944i | \(-0.408473\pi\) |
0.833644 | + | 0.552302i | \(0.186251\pi\) | |||||||
\(368\) | 10.8219 | − | 29.7330i | 0.564132 | − | 1.54994i | ||||
\(369\) | −11.6411 | −0.606013 | ||||||||
\(370\) | 41.4512 | − | 12.0181i | 2.15495 | − | 0.624789i | ||||
\(371\) | −12.2055 | −0.633676 | ||||||||
\(372\) | 7.21496 | − | 19.8230i | 0.374078 | − | 1.02777i | ||||
\(373\) | 20.8605 | − | 7.59260i | 1.08012 | − | 0.393130i | 0.260165 | − | 0.965564i | \(-0.416223\pi\) |
0.819950 | + | 0.572435i | \(0.194001\pi\) | |||||||
\(374\) | −3.43948 | − | 2.88606i | −0.177851 | − | 0.149235i | ||||
\(375\) | 10.8517 | + | 1.91345i | 0.560381 | + | 0.0988103i | ||||
\(376\) | 55.7766i | 2.87646i | ||||||||
\(377\) | −2.27439 | + | 12.8987i | −0.117137 | + | 0.664317i | ||||
\(378\) | −5.70359 | + | 3.29297i | −0.293361 | + | 0.169372i | ||||
\(379\) | −5.05313 | + | 4.24008i | −0.259562 | + | 0.217798i | −0.763277 | − | 0.646072i | \(-0.776411\pi\) |
0.503715 | + | 0.863870i | \(0.331966\pi\) | |||||||
\(380\) | −10.8619 | + | 18.8134i | −0.557205 | + | 0.965107i | ||||
\(381\) | 8.69554 | + | 15.0611i | 0.445486 | + | 0.771605i | ||||
\(382\) | −20.3090 | − | 7.39186i | −1.03910 | − | 0.378200i | ||||
\(383\) | −3.03672 | + | 3.61902i | −0.155169 | + | 0.184923i | −0.838028 | − | 0.545627i | \(-0.816292\pi\) |
0.682859 | + | 0.730550i | \(0.260736\pi\) | |||||||
\(384\) | −37.8029 | − | 21.8255i | −1.92912 | − | 1.11378i | ||||
\(385\) | −11.7975 | + | 2.08022i | −0.601256 | + | 0.106018i | ||||
\(386\) | 4.49234 | + | 25.4773i | 0.228654 | + | 1.29676i | ||||
\(387\) | −7.25859 | − | 8.65046i | −0.368975 | − | 0.439727i | ||||
\(388\) | 18.3054 | + | 50.2936i | 0.929314 | + | 2.55327i | ||||
\(389\) | −11.0492 | − | 30.3573i | −0.560215 | − | 1.53918i | −0.819325 | − | 0.573329i | \(-0.805652\pi\) |
0.259110 | − | 0.965848i | \(-0.416571\pi\) | |||||||
\(390\) | 13.9602 | + | 16.6371i | 0.706903 | + | 0.842455i | ||||
\(391\) | −0.815034 | − | 4.62229i | −0.0412180 | − | 0.233759i | ||||
\(392\) | 24.3219 | − | 4.28861i | 1.22844 | − | 0.216607i | ||||
\(393\) | 14.7214 | + | 8.49943i | 0.742598 | + | 0.428739i | ||||
\(394\) | −23.7170 | + | 28.2648i | −1.19485 | + | 1.42396i | ||||
\(395\) | −8.86735 | − | 3.22745i | −0.446165 | − | 0.162391i | ||||
\(396\) | −12.6994 | − | 21.9961i | −0.638171 | − | 1.10534i | ||||
\(397\) | −11.7914 | + | 20.4233i | −0.591794 | + | 1.02502i | 0.402196 | + | 0.915553i | \(0.368247\pi\) |
−0.993991 | + | 0.109465i | \(0.965086\pi\) | |||||||
\(398\) | 20.5365 | − | 17.2322i | 1.02940 | − | 0.863772i | ||||
\(399\) | 5.31380 | − | 3.06793i | 0.266023 | − | 0.153588i | ||||
\(400\) | −2.47711 | + | 14.0484i | −0.123856 | + | 0.702420i | ||||
\(401\) | 19.5173i | 0.974645i | 0.873222 | + | 0.487323i | \(0.162026\pi\) | ||||
−0.873222 | + | 0.487323i | \(0.837974\pi\) | |||||||
\(402\) | 30.9776 | + | 5.46218i | 1.54502 | + | 0.272429i | ||||
\(403\) | −2.35503 | − | 1.97611i | −0.117313 | − | 0.0984369i | ||||
\(404\) | −6.82573 | + | 2.48436i | −0.339593 | + | 0.123602i | ||||
\(405\) | 10.6333 | − | 29.2147i | 0.528372 | − | 1.45169i | ||||
\(406\) | 34.7149 | 1.72287 | ||||||||
\(407\) | −4.16926 | + | 16.9341i | −0.206662 | + | 0.839392i | ||||
\(408\) | 7.30666 | 0.361733 | ||||||||
\(409\) | −4.11939 | + | 11.3179i | −0.203691 | + | 0.559635i | −0.998910 | − | 0.0466872i | \(-0.985134\pi\) |
0.795219 | + | 0.606322i | \(0.207356\pi\) | |||||||
\(410\) | −35.4693 | + | 12.9098i | −1.75170 | + | 0.637567i | ||||
\(411\) | −20.2833 | − | 17.0197i | −1.00050 | − | 0.839522i | ||||
\(412\) | 66.5733 | + | 11.7387i | 3.27983 | + | 0.578322i | ||||
\(413\) | − | 7.86825i | − | 0.387171i | ||||||
\(414\) | 6.88826 | − | 39.0653i | 0.338540 | − | 1.91995i | ||||
\(415\) | 12.5049 | − | 7.21969i | 0.613840 | − | 0.354401i | ||||
\(416\) | 0.495925 | − | 0.416131i | 0.0243147 | − | 0.0204025i | ||||
\(417\) | 14.6440 | − | 25.3642i | 0.717120 | − | 1.24209i | ||||
\(418\) | −6.55755 | − | 11.3580i | −0.320740 | − | 0.555538i | ||||
\(419\) | −30.9985 | − | 11.2825i | −1.51438 | − | 0.551188i | −0.554641 | − | 0.832090i | \(-0.687144\pi\) |
−0.959737 | + | 0.280901i | \(0.909367\pi\) | |||||||
\(420\) | 24.7661 | − | 29.5150i | 1.20846 | − | 1.44019i | ||||
\(421\) | −1.57499 | − | 0.909320i | −0.0767602 | − | 0.0443175i | 0.461129 | − | 0.887333i | \(-0.347445\pi\) |
−0.537889 | + | 0.843016i | \(0.680778\pi\) | |||||||
\(422\) | 10.9985 | − | 1.93934i | 0.535400 | − | 0.0944054i | ||||
\(423\) | 4.20711 | + | 23.8597i | 0.204556 | + | 1.16010i | ||||
\(424\) | −27.2897 | − | 32.5226i | −1.32531 | − | 1.57944i | ||||
\(425\) | 0.723735 | + | 1.98845i | 0.0351063 | + | 0.0964538i | ||||
\(426\) | 0.978725 | + | 2.68902i | 0.0474194 | + | 0.130284i | ||||
\(427\) | −0.810296 | − | 0.965673i | −0.0392130 | − | 0.0467322i | ||||
\(428\) | 3.81122 | + | 21.6145i | 0.184222 | + | 1.04478i | ||||
\(429\) | −8.64278 | + | 1.52395i | −0.417277 | + | 0.0735772i | ||||
\(430\) | −31.7093 | − | 18.3074i | −1.52916 | − | 0.882860i | ||||
\(431\) | 13.1774 | − | 15.7042i | 0.634732 | − | 0.756444i | −0.348796 | − | 0.937199i | \(-0.613409\pi\) |
0.983528 | + | 0.180754i | \(0.0578539\pi\) | |||||||
\(432\) | −7.45856 | − | 2.71469i | −0.358850 | − | 0.130611i | ||||
\(433\) | 12.4606 | + | 21.5824i | 0.598820 | + | 1.03719i | 0.992996 | + | 0.118151i | \(0.0376967\pi\) |
−0.394176 | + | 0.919035i | \(0.628970\pi\) | |||||||
\(434\) | −4.07413 | + | 7.05660i | −0.195565 | + | 0.338728i | ||||
\(435\) | −49.0625 | + | 41.1683i | −2.35237 | + | 1.97387i | ||||
\(436\) | 14.2591 | − | 8.23249i | 0.682886 | − | 0.394265i | ||||
\(437\) | 2.38072 | − | 13.5017i | 0.113885 | − | 0.645876i | ||||
\(438\) | − | 17.7064i | − | 0.846044i | ||||||
\(439\) | 38.4292 | + | 6.77611i | 1.83413 | + | 0.323406i | 0.980355 | − | 0.197243i | \(-0.0631986\pi\) |
0.853771 | + | 0.520648i | \(0.174310\pi\) | |||||||
\(440\) | −31.9205 | − | 26.7845i | −1.52175 | − | 1.27690i | ||||
\(441\) | 10.0808 | − | 3.66910i | 0.480036 | − | 0.174719i | ||||
\(442\) | 0.719782 | − | 1.97759i | 0.0342366 | − | 0.0940642i | ||||
\(443\) | −3.65524 | −0.173666 | −0.0868329 | − | 0.996223i | \(-0.527675\pi\) | ||||
−0.0868329 | + | 0.996223i | \(0.527675\pi\) | |||||||
\(444\) | −24.7369 | − | 50.3416i | −1.17396 | − | 2.38911i | ||||
\(445\) | 2.51983 | 0.119451 | ||||||||
\(446\) | −1.38612 | + | 3.80833i | −0.0656347 | + | 0.180330i | ||||
\(447\) | −0.594799 | + | 0.216489i | −0.0281330 | + | 0.0102396i | ||||
\(448\) | 8.21054 | + | 6.88946i | 0.387911 | + | 0.325496i | ||||
\(449\) | 0.769825 | + | 0.135741i | 0.0363303 | + | 0.00640601i | 0.191784 | − | 0.981437i | \(-0.438573\pi\) |
−0.155453 | + | 0.987843i | \(0.549684\pi\) | |||||||
\(450\) | 17.8839i | 0.843055i | ||||||||
\(451\) | 2.64858 | − | 15.0209i | 0.124717 | − | 0.707305i | ||||
\(452\) | −37.5100 | + | 21.6564i | −1.76432 | + | 1.01863i | ||||
\(453\) | −16.7898 | + | 14.0883i | −0.788852 | + | 0.661926i | ||||
\(454\) | −19.8269 | + | 34.3411i | −0.930521 | + | 1.61171i | ||||
\(455\) | −2.80750 | − | 4.86273i | −0.131618 | − | 0.227968i | ||||
\(456\) | 20.0557 | + | 7.29968i | 0.939194 | + | 0.341839i | ||||
\(457\) | 14.3796 | − | 17.1370i | 0.672651 | − | 0.801634i | −0.316492 | − | 0.948595i | \(-0.602505\pi\) |
0.989142 | + | 0.146961i | \(0.0469493\pi\) | |||||||
\(458\) | 50.3233 | + | 29.0542i | 2.35145 | + | 1.35761i | ||||
\(459\) | −1.15951 | + | 0.204452i | −0.0541211 | + | 0.00954302i | ||||
\(460\) | −14.9494 | − | 84.7821i | −0.697018 | − | 3.95299i | ||||
\(461\) | −14.0359 | − | 16.7274i | −0.653719 | − | 0.779072i | 0.332751 | − | 0.943015i | \(-0.392023\pi\) |
−0.986470 | + | 0.163943i | \(0.947579\pi\) | |||||||
\(462\) | 7.95565 | + | 21.8580i | 0.370130 | + | 1.01692i | ||||
\(463\) | −5.30211 | − | 14.5674i | −0.246410 | − | 0.677006i | −0.999811 | − | 0.0194446i | \(-0.993810\pi\) |
0.753401 | − | 0.657562i | \(-0.228412\pi\) | |||||||
\(464\) | 26.8928 | + | 32.0496i | 1.24847 | + | 1.48786i | ||||
\(465\) | −2.61045 | − | 14.8046i | −0.121057 | − | 0.686546i | ||||
\(466\) | −56.9715 | + | 10.0456i | −2.63915 | + | 0.465354i | ||||
\(467\) | −5.88301 | − | 3.39656i | −0.272233 | − | 0.157174i | 0.357669 | − | 0.933849i | \(-0.383572\pi\) |
−0.629902 | + | 0.776674i | \(0.716905\pi\) | |||||||
\(468\) | 7.65233 | − | 9.11969i | 0.353729 | − | 0.421558i | ||||
\(469\) | −7.64199 | − | 2.78146i | −0.352875 | − | 0.128436i | ||||
\(470\) | 39.2784 | + | 68.0323i | 1.81178 | + | 3.13809i | ||||
\(471\) | −7.43132 | + | 12.8714i | −0.342417 | + | 0.593084i | ||||
\(472\) | 20.9657 | − | 17.5923i | 0.965024 | − | 0.809751i | ||||
\(473\) | 12.8134 | − | 7.39781i | 0.589160 | − | 0.340152i | ||||
\(474\) | −3.18173 | + | 18.0445i | −0.146142 | + | 0.828812i | ||||
\(475\) | 6.18103i | 0.283605i | ||||||||
\(476\) | −3.67676 | − | 0.648312i | −0.168524 | − | 0.0297153i | ||||
\(477\) | −14.1269 | − | 11.8539i | −0.646826 | − | 0.542751i | ||||
\(478\) | −39.9214 | + | 14.5302i | −1.82596 | + | 0.664596i | ||||
\(479\) | −4.28164 | + | 11.7637i | −0.195633 | + | 0.537497i | −0.998259 | − | 0.0589857i | \(-0.981213\pi\) |
0.802626 | + | 0.596483i | \(0.203436\pi\) | |||||||
\(480\) | 3.16566 | 0.144492 | ||||||||
\(481\) | −8.12701 | + | 0.878369i | −0.370560 | + | 0.0400502i | ||||
\(482\) | 40.7968 | 1.85824 | ||||||||
\(483\) | −8.31654 | + | 22.8495i | −0.378416 | + | 1.03969i | ||||
\(484\) | −10.5751 | + | 3.84903i | −0.480687 | + | 0.174956i | ||||
\(485\) | 29.2175 | + | 24.5164i | 1.32670 | + | 1.11323i | ||||
\(486\) | −46.0151 | − | 8.11370i | −2.08729 | − | 0.368045i | ||||
\(487\) | − | 21.6934i | − | 0.983023i | −0.870871 | − | 0.491511i | \(-0.836445\pi\) | ||
0.870871 | − | 0.491511i | \(-0.163555\pi\) | |||||||
\(488\) | 0.761418 | − | 4.31822i | 0.0344678 | − | 0.195477i | ||||
\(489\) | −18.4684 | + | 10.6627i | −0.835171 | + | 0.482186i | ||||
\(490\) | 26.6460 | − | 22.3587i | 1.20374 | − | 1.01006i | ||||
\(491\) | 13.6363 | − | 23.6187i | 0.615396 | − | 1.06590i | −0.374919 | − | 0.927058i | \(-0.622329\pi\) |
0.990315 | − | 0.138840i | \(-0.0443373\pi\) | |||||||
\(492\) | 24.5281 | + | 42.4839i | 1.10581 | + | 1.91532i | ||||
\(493\) | 5.83185 | + | 2.12262i | 0.262653 | + | 0.0955980i | ||||
\(494\) | 3.95139 | − | 4.70908i | 0.177782 | − | 0.211872i | ||||
\(495\) | −15.6750 | − | 9.04996i | −0.704539 | − | 0.406766i | ||||
\(496\) | −9.67093 | + | 1.70525i | −0.434237 | + | 0.0765678i | ||||
\(497\) | −0.128471 | − | 0.728594i | −0.00576270 | − | 0.0326819i | ||||
\(498\) | −18.0219 | − | 21.4777i | −0.807583 | − | 0.962440i | ||||
\(499\) | −11.8679 | − | 32.6067i | −0.531279 | − | 1.45968i | −0.857550 | − | 0.514401i | \(-0.828014\pi\) |
0.326271 | − | 0.945276i | \(-0.394208\pi\) | |||||||
\(500\) | −6.69841 | − | 18.4037i | −0.299562 | − | 0.823040i | ||||
\(501\) | −9.14720 | − | 10.9012i | −0.408667 | − | 0.487030i | ||||
\(502\) | −7.15469 | − | 40.5763i | −0.319330 | − | 1.81101i | ||||
\(503\) | 14.5930 | − | 2.57314i | 0.650669 | − | 0.114731i | 0.161435 | − | 0.986883i | \(-0.448388\pi\) |
0.489234 | + | 0.872153i | \(0.337277\pi\) | |||||||
\(504\) | −13.8264 | − | 7.98267i | −0.615876 | − | 0.355576i | ||||
\(505\) | −3.32730 | + | 3.96533i | −0.148063 | + | 0.176455i | ||||
\(506\) | 48.8397 | + | 17.7762i | 2.17119 | + | 0.790249i | ||||
\(507\) | 12.7487 | + | 22.0815i | 0.566191 | + | 0.980672i | ||||
\(508\) | 15.4550 | − | 26.7688i | 0.685705 | − | 1.18768i | ||||
\(509\) | −11.5452 | + | 9.68756i | −0.511731 | + | 0.429393i | −0.861738 | − | 0.507354i | \(-0.830624\pi\) |
0.350007 | + | 0.936747i | \(0.386179\pi\) | |||||||
\(510\) | 8.91213 | − | 5.14542i | 0.394636 | − | 0.227843i | ||||
\(511\) | −0.794923 | + | 4.50823i | −0.0351653 | + | 0.199433i | ||||
\(512\) | 41.1821i | 1.82001i | ||||||||
\(513\) | −3.38693 | − | 0.597207i | −0.149537 | − | 0.0263673i | ||||
\(514\) | 46.1804 | + | 38.7499i | 2.03693 | + | 1.70919i | ||||
\(515\) | 45.2685 | − | 16.4764i | 1.99477 | − | 0.726037i | ||||
\(516\) | −16.2755 | + | 44.7167i | −0.716491 | + | 1.96854i | ||||
\(517\) | −31.7440 | −1.39610 | ||||||||
\(518\) | 6.03316 | + | 20.8088i | 0.265082 | + | 0.914288i | ||||
\(519\) | 55.3650 | 2.43025 | ||||||||
\(520\) | 6.68003 | − | 18.3532i | 0.292939 | − | 0.804843i | ||||
\(521\) | −0.101246 | + | 0.0368504i | −0.00443566 | + | 0.00161445i | −0.344237 | − | 0.938883i | \(-0.611862\pi\) |
0.339801 | + | 0.940497i | \(0.389640\pi\) | |||||||
\(522\) | 40.1799 | + | 33.7149i | 1.75863 | + | 1.47566i | ||||
\(523\) | −22.2611 | − | 3.92523i | −0.973409 | − | 0.171638i | −0.335745 | − | 0.941953i | \(-0.608988\pi\) |
−0.637664 | + | 0.770315i | \(0.720099\pi\) | |||||||
\(524\) | − | 30.2129i | − | 1.31986i | ||||||
\(525\) | 1.90364 | − | 10.7961i | 0.0830815 | − | 0.471178i | ||||
\(526\) | 34.9006 | − | 20.1499i | 1.52174 | − | 0.878576i | ||||
\(527\) | −1.11589 | + | 0.936347i | −0.0486091 | + | 0.0407879i | ||||
\(528\) | −14.0167 | + | 24.2776i | −0.609998 | + | 1.05655i | ||||
\(529\) | 15.6659 | + | 27.1342i | 0.681127 | + | 1.17975i | ||||
\(530\) | −56.1888 | − | 20.4510i | −2.44068 | − | 0.888336i | ||||
\(531\) | 7.64159 | − | 9.10690i | 0.331617 | − | 0.395206i | ||||
\(532\) | −9.44447 | − | 5.45277i | −0.409470 | − | 0.236408i | ||||
\(533\) | 7.04054 | − | 1.24144i | 0.304960 | − | 0.0537726i | ||||
\(534\) | −0.849623 | − | 4.81845i | −0.0367668 | − | 0.208515i | ||||
\(535\) | 10.0536 | + | 11.9815i | 0.434657 | + | 0.518004i | ||||
\(536\) | −9.67497 | − | 26.5818i | −0.417895 | − | 1.14816i | ||||
\(537\) | 12.8628 | + | 35.3402i | 0.555070 | + | 1.52504i | ||||
\(538\) | −27.5065 | − | 32.7810i | −1.18589 | − | 1.41329i | ||||
\(539\) | 2.44076 | + | 13.8423i | 0.105131 | + | 0.596228i | ||||
\(540\) | −21.2677 | + | 3.75007i | −0.915217 | + | 0.161377i | ||||
\(541\) | 8.14169 | + | 4.70061i | 0.350039 | + | 0.202095i | 0.664702 | − | 0.747108i | \(-0.268558\pi\) |
−0.314664 | + | 0.949203i | \(0.601892\pi\) | |||||||
\(542\) | 4.44504 | − | 5.29739i | 0.190931 | − | 0.227542i | ||||
\(543\) | 7.79670 | + | 2.83777i | 0.334588 | + | 0.121780i | ||||
\(544\) | −0.153376 | − | 0.265656i | −0.00657596 | − | 0.0113899i | ||||
\(545\) | 5.86669 | − | 10.1614i | 0.251301 | − | 0.435267i | ||||
\(546\) | −8.35197 | + | 7.00814i | −0.357432 | + | 0.299921i | ||||
\(547\) | −9.86753 | + | 5.69702i | −0.421905 | + | 0.243587i | −0.695892 | − | 0.718146i | \(-0.744991\pi\) |
0.273987 | + | 0.961733i | \(0.411657\pi\) | |||||||
\(548\) | −8.17199 | + | 46.3457i | −0.349090 | + | 1.97979i | ||||
\(549\) | − | 1.90465i | − | 0.0812883i | ||||||
\(550\) | −23.0761 | − | 4.06893i | −0.983966 | − | 0.173500i | ||||
\(551\) | 13.8870 | + | 11.6526i | 0.591605 | + | 0.496415i | ||||
\(552\) | −79.4793 | + | 28.9281i | −3.38286 | + | 1.23126i | ||||
\(553\) | 1.62021 | − | 4.45148i | 0.0688982 | − | 0.189296i | ||||
\(554\) | −54.5843 | −2.31906 | ||||||||
\(555\) | −33.2038 | − | 22.2544i | −1.40942 | − | 0.944645i | ||||
\(556\) | −52.0550 | −2.20762 | ||||||||
\(557\) | −8.03908 | + | 22.0872i | −0.340627 | + | 0.935864i | 0.644587 | + | 0.764531i | \(0.277029\pi\) |
−0.985213 | + | 0.171333i | \(0.945193\pi\) | |||||||
\(558\) | −11.5688 | + | 4.21071i | −0.489747 | + | 0.178253i | ||||
\(559\) | 5.31249 | + | 4.45771i | 0.224694 | + | 0.188541i | ||||
\(560\) | −17.6634 | − | 3.11454i | −0.746416 | − | 0.131613i | ||||
\(561\) | 4.15842i | 0.175568i | ||||||||
\(562\) | 0.352907 | − | 2.00144i | 0.0148865 | − | 0.0844255i | ||||
\(563\) | 23.5707 | − | 13.6085i | 0.993385 | − | 0.573531i | 0.0871009 | − | 0.996199i | \(-0.472240\pi\) |
0.906285 | + | 0.422668i | \(0.138906\pi\) | |||||||
\(564\) | 78.2107 | − | 65.6265i | 3.29326 | − | 2.76338i | ||||
\(565\) | −15.4330 | + | 26.7307i | −0.649269 | + | 1.12457i | ||||
\(566\) | −35.4318 | − | 61.3698i | −1.48931 | − | 2.57956i | ||||
\(567\) | 14.6660 | + | 5.33798i | 0.615914 | + | 0.224174i | ||||
\(568\) | 1.65416 | − | 1.97136i | 0.0694072 | − | 0.0827163i | ||||
\(569\) | −29.1899 | − | 16.8528i | −1.22371 | − | 0.706507i | −0.258000 | − | 0.966145i | \(-0.583063\pi\) |
−0.965706 | + | 0.259638i | \(0.916397\pi\) | |||||||
\(570\) | 29.6030 | − | 5.21981i | 1.23993 | − | 0.218634i | ||||
\(571\) | 6.55743 | + | 37.1890i | 0.274420 | + | 1.55631i | 0.740799 | + | 0.671727i | \(0.234447\pi\) |
−0.466379 | + | 0.884585i | \(0.654442\pi\) | |||||||
\(572\) | 10.0263 | + | 11.9489i | 0.419221 | + | 0.499609i | ||||
\(573\) | 6.84610 | + | 18.8095i | 0.286000 | + | 0.785778i | ||||
\(574\) | −6.48080 | − | 17.8058i | −0.270503 | − | 0.743202i | ||||
\(575\) | −15.7451 | − | 18.7642i | −0.656615 | − | 0.782523i | ||||
\(576\) | 2.81207 | + | 15.9480i | 0.117170 | + | 0.664502i | ||||
\(577\) | −45.0407 | + | 7.94189i | −1.87507 | + | 0.330625i | −0.990689 | − | 0.136142i | \(-0.956530\pi\) |
−0.884380 | + | 0.466767i | \(0.845419\pi\) | |||||||
\(578\) | 35.3440 | + | 20.4059i | 1.47012 | + | 0.848772i | ||||
\(579\) | 15.4014 | − | 18.3547i | 0.640060 | − | 0.762794i | ||||
\(580\) | 106.968 | + | 38.9332i | 4.44161 | + | 1.61661i | ||||
\(581\) | 3.62434 | + | 6.27754i | 0.150363 | + | 0.260436i | ||||
\(582\) | 37.0292 | − | 64.1365i | 1.53491 | − | 2.65854i | ||||
\(583\) | 18.5095 | − | 15.5313i | 0.766585 | − | 0.643241i | ||||
\(584\) | −13.7900 | + | 7.96163i | −0.570632 | + | 0.329455i | ||||
\(585\) | 1.47319 | − | 8.35487i | 0.0609088 | − | 0.345431i | ||||
\(586\) | − | 6.65544i | − | 0.274934i | ||||||
\(587\) | 8.88682 | + | 1.56699i | 0.366798 | + | 0.0646764i | 0.354010 | − | 0.935242i | \(-0.384818\pi\) |
0.0127887 | + | 0.999918i | \(0.495929\pi\) | |||||||
\(588\) | −34.6306 | − | 29.0585i | −1.42814 | − | 1.19835i | ||||
\(589\) | −3.99842 | + | 1.45530i | −0.164752 | + | 0.0599648i | ||||
\(590\) | 13.1838 | − | 36.2221i | 0.542767 | − | 1.49124i | ||||
\(591\) | 34.1729 | 1.40569 | ||||||||
\(592\) | −14.5374 | + | 21.6900i | −0.597484 | + | 0.891454i | ||||
\(593\) | −7.32788 | −0.300920 | −0.150460 | − | 0.988616i | \(-0.548075\pi\) | ||||
−0.150460 | + | 0.988616i | \(0.548075\pi\) | |||||||
\(594\) | 4.45919 | − | 12.2515i | 0.182963 | − | 0.502686i | ||||
\(595\) | −2.50013 | + | 0.909971i | −0.102495 | + | 0.0373052i | ||||
\(596\) | 0.861808 | + | 0.723143i | 0.0353010 | + | 0.0296211i | ||||
\(597\) | −24.4520 | − | 4.31155i | −1.00075 | − | 0.176460i | ||||
\(598\) | 24.3612i | 0.996204i | ||||||||
\(599\) | −5.37230 | + | 30.4678i | −0.219506 | + | 1.24488i | 0.653408 | + | 0.757006i | \(0.273339\pi\) |
−0.872914 | + | 0.487875i | \(0.837772\pi\) | |||||||
\(600\) | 33.0234 | − | 19.0660i | 1.34817 | − | 0.778368i | ||||
\(601\) | −23.6298 | + | 19.8278i | −0.963880 | + | 0.808791i | −0.981580 | − | 0.191052i | \(-0.938810\pi\) |
0.0176998 | + | 0.999843i | \(0.494366\pi\) | |||||||
\(602\) | 9.19044 | − | 15.9183i | 0.374575 | − | 0.648782i | ||||
\(603\) | −6.14369 | − | 10.6412i | −0.250190 | − | 0.433342i | ||||
\(604\) | 36.6057 | + | 13.3234i | 1.48947 | + | 0.542121i | ||||
\(605\) | −5.15500 | + | 6.14349i | −0.209581 | + | 0.249769i | ||||
\(606\) | 8.70444 | + | 5.02551i | 0.353594 | + | 0.204148i | ||||
\(607\) | 1.62505 | − | 0.286539i | 0.0659586 | − | 0.0116303i | −0.140572 | − | 0.990071i | \(-0.544894\pi\) |
0.206530 | + | 0.978440i | \(0.433783\pi\) | |||||||
\(608\) | −0.155594 | − | 0.882416i | −0.00631016 | − | 0.0357867i | ||||
\(609\) | −20.6668 | − | 24.6298i | −0.837462 | − | 0.998048i | ||||
\(610\) | −2.11221 | − | 5.80325i | −0.0855209 | − | 0.234967i | ||||
\(611\) | −5.08890 | − | 13.9816i | −0.205875 | − | 0.565637i | ||||
\(612\) | −3.62593 | − | 4.32122i | −0.146570 | − | 0.174675i | ||||
\(613\) | −0.618131 | − | 3.50560i | −0.0249661 | − | 0.141590i | 0.969777 | − | 0.243994i | \(-0.0784577\pi\) |
−0.994743 | + | 0.102404i | \(0.967347\pi\) | |||||||
\(614\) | 42.5514 | − | 7.50296i | 1.71724 | − | 0.302795i | ||||
\(615\) | 30.2752 | + | 17.4794i | 1.22081 | + | 0.704837i | ||||
\(616\) | 13.4460 | − | 16.0243i | 0.541755 | − | 0.645639i | ||||
\(617\) | −40.0535 | − | 14.5783i | −1.61249 | − | 0.586900i | −0.630562 | − | 0.776139i | \(-0.717176\pi\) |
−0.981931 | + | 0.189239i | \(0.939398\pi\) | |||||||
\(618\) | −46.7698 | − | 81.0077i | −1.88136 | − | 3.25861i | ||||
\(619\) | 11.0480 | − | 19.1357i | 0.444058 | − | 0.769130i | −0.553928 | − | 0.832564i | \(-0.686872\pi\) |
0.997986 | + | 0.0634340i | \(0.0202052\pi\) | |||||||
\(620\) | −20.4678 | + | 17.1745i | −0.822006 | + | 0.689745i | ||||
\(621\) | 11.8033 | − | 6.81461i | 0.473648 | − | 0.273461i | ||||
\(622\) | 1.90397 | − | 10.7980i | 0.0763424 | − | 0.432959i | ||||
\(623\) | 1.26497i | 0.0506800i | ||||||||
\(624\) | −12.9401 | − | 2.28169i | −0.518019 | − | 0.0913408i | ||||
\(625\) | −23.4198 | − | 19.6516i | −0.936793 | − | 0.786063i | ||||
\(626\) | −46.6235 | + | 16.9696i | −1.86345 | + | 0.678241i | ||||
\(627\) | −4.15444 | + | 11.4142i | −0.165912 | + | 0.455841i | ||||
\(628\) | 26.4161 | 1.05412 | ||||||||
\(629\) | −0.258816 | + | 3.86462i | −0.0103197 | + | 0.154093i | ||||
\(630\) | −22.4859 | −0.895860 | ||||||||
\(631\) | −6.66923 | + | 18.3236i | −0.265498 | + | 0.729449i | 0.733275 | + | 0.679932i | \(0.237991\pi\) |
−0.998773 | + | 0.0495176i | \(0.984232\pi\) | |||||||
\(632\) | 15.4839 | − | 5.63569i | 0.615918 | − | 0.224176i | ||||
\(633\) | −7.92368 | − | 6.64875i | −0.314938 | − | 0.264264i | ||||
\(634\) | 20.7136 | + | 3.65236i | 0.822641 | + | 0.145054i | ||||
\(635\) | − | 22.0273i | − | 0.874126i | ||||||
\(636\) | −13.4946 | + | 76.5320i | −0.535098 | + | 3.03469i | ||||
\(637\) | −5.70555 | + | 3.29410i | −0.226062 | + | 0.130517i | ||||
\(638\) | −52.6449 | + | 44.1744i | −2.08423 | + | 1.74888i | ||||
\(639\) | 0.558911 | − | 0.968061i | 0.0221102 | − | 0.0382959i | ||||
\(640\) | 27.6439 | + | 47.8806i | 1.09272 | + | 1.89265i | ||||
\(641\) | 3.63893 | + | 1.32446i | 0.143729 | + | 0.0523131i | 0.412883 | − | 0.910784i | \(-0.364522\pi\) |
−0.269154 | + | 0.963097i | \(0.586744\pi\) | |||||||
\(642\) | 19.5213 | − | 23.2646i | 0.770445 | − | 0.918180i | ||||
\(643\) | 23.9860 | + | 13.8483i | 0.945916 | + | 0.546125i | 0.891810 | − | 0.452410i | \(-0.149436\pi\) |
0.0541060 | + | 0.998535i | \(0.482769\pi\) | |||||||
\(644\) | 42.5613 | − | 7.50470i | 1.67715 | − | 0.295727i | ||||
\(645\) | 5.88866 | + | 33.3962i | 0.231866 | + | 1.31498i | ||||
\(646\) | −1.87230 | − | 2.23132i | −0.0736648 | − | 0.0877903i | ||||
\(647\) | −4.10055 | − | 11.2662i | −0.161209 | − | 0.442919i | 0.832619 | − | 0.553846i | \(-0.186840\pi\) |
−0.993829 | + | 0.110927i | \(0.964618\pi\) | |||||||
\(648\) | 18.5675 | + | 51.0139i | 0.729402 | + | 2.00402i | ||||
\(649\) | 10.0123 | + | 11.9321i | 0.393015 | + | 0.468378i | ||||
\(650\) | −1.90718 | − | 10.8162i | −0.0748057 | − | 0.424244i | ||||
\(651\) | 7.43201 | − | 1.31046i | 0.291284 | − | 0.0513611i | ||||
\(652\) | 32.8248 | + | 18.9514i | 1.28552 | + | 0.742194i | ||||
\(653\) | 3.19325 | − | 3.80556i | 0.124961 | − | 0.148923i | −0.699936 | − | 0.714205i | \(-0.746788\pi\) |
0.824898 | + | 0.565282i | \(0.191233\pi\) | |||||||
\(654\) | −21.4089 | − | 7.79220i | −0.837154 | − | 0.304699i | ||||
\(655\) | −10.7652 | − | 18.6460i | −0.420633 | − | 0.728558i | ||||
\(656\) | 11.4182 | − | 19.7769i | 0.445806 | − | 0.772159i | ||||
\(657\) | −5.29843 | + | 4.44591i | −0.206711 | + | 0.173452i | ||||
\(658\) | −34.1527 | + | 19.7181i | −1.33141 | + | 0.768691i | ||||
\(659\) | −3.28827 | + | 18.6487i | −0.128093 | + | 0.726451i | 0.851330 | + | 0.524631i | \(0.175797\pi\) |
−0.979423 | + | 0.201820i | \(0.935314\pi\) | |||||||
\(660\) | 76.2738i | 2.96896i | ||||||||
\(661\) | 15.6808 | + | 2.76495i | 0.609912 | + | 0.107544i | 0.470069 | − | 0.882630i | \(-0.344229\pi\) |
0.139843 | + | 0.990174i | \(0.455340\pi\) | |||||||
\(662\) | −19.5358 | − | 16.3925i | −0.759280 | − | 0.637111i | ||||
\(663\) | −1.83158 | + | 0.666639i | −0.0711325 | + | 0.0258901i | ||||
\(664\) | −8.62359 | + | 23.6931i | −0.334660 | + | 0.919471i | ||||
\(665\) | −7.77158 | −0.301369 | ||||||||
\(666\) | −13.2265 | + | 29.9440i | −0.512516 | + | 1.16031i | ||||
\(667\) | −71.8406 | −2.78168 | ||||||||
\(668\) | −8.65057 | + | 23.7672i | −0.334700 | + | 0.919582i | ||||
\(669\) | 3.52716 | − | 1.28378i | 0.136368 | − | 0.0496338i | ||||
\(670\) | −30.5200 | − | 25.6093i | −1.17909 | − | 0.989374i | ||||
\(671\) | 2.45761 | + | 0.433344i | 0.0948752 | + | 0.0167290i | ||||
\(672\) | 1.58918i | 0.0613041i | ||||||||
\(673\) | 0.349701 | − | 1.98325i | 0.0134800 | − | 0.0764488i | −0.977326 | − | 0.211742i | \(-0.932086\pi\) |
0.990806 | + | 0.135293i | \(0.0431975\pi\) | |||||||
\(674\) | 50.9081 | − | 29.3918i | 1.96091 | − | 1.13213i | ||||
\(675\) | −4.70704 | + | 3.94967i | −0.181174 | + | 0.152023i | ||||
\(676\) | 22.6589 | − | 39.2464i | 0.871497 | − | 1.50948i | ||||
\(677\) | −3.35870 | − | 5.81744i | −0.129085 | − | 0.223583i | 0.794237 | − | 0.607608i | \(-0.207871\pi\) |
−0.923323 | + | 0.384025i | \(0.874537\pi\) | |||||||
\(678\) | 56.3184 | + | 20.4982i | 2.16289 | + | 0.787229i | ||||
\(679\) | −12.3074 | + | 14.6674i | −0.472315 | + | 0.562883i | ||||
\(680\) | −8.01463 | − | 4.62725i | −0.307347 | − | 0.177447i | ||||
\(681\) | 36.1681 | − | 6.37741i | 1.38596 | − | 0.244383i | ||||
\(682\) | −2.80105 | − | 15.8856i | −0.107258 | − | 0.608290i | ||||
\(683\) | 3.27490 | + | 3.90287i | 0.125311 | + | 0.149339i | 0.825052 | − | 0.565057i | \(-0.191146\pi\) |
−0.699741 | + | 0.714396i | \(0.746701\pi\) | |||||||
\(684\) | −5.63556 | − | 15.4836i | −0.215481 | − | 0.592029i | ||||
\(685\) | 11.4702 | + | 31.5141i | 0.438254 | + | 1.20409i | ||||
\(686\) | 27.2508 | + | 32.4762i | 1.04044 | + | 1.23995i | ||||
\(687\) | −9.34541 | − | 53.0005i | −0.356550 | − | 2.02209i | ||||
\(688\) | 21.8157 | − | 3.84670i | 0.831716 | − | 0.146654i | ||||
\(689\) | 9.80805 | + | 5.66268i | 0.373657 | + | 0.215731i | ||||
\(690\) | −76.5716 | + | 91.2545i | −2.91503 | + | 3.47400i | ||||
\(691\) | 4.84765 | + | 1.76440i | 0.184413 | + | 0.0671209i | 0.432576 | − | 0.901597i | \(-0.357605\pi\) |
−0.248163 | + | 0.968718i | \(0.579827\pi\) | |||||||
\(692\) | −49.2014 | − | 85.2193i | −1.87036 | − | 3.23955i | ||||
\(693\) | 4.54315 | − | 7.86897i | 0.172580 | − | 0.298917i | ||||
\(694\) | −58.0126 | + | 48.6783i | −2.20213 | + | 1.84780i | ||||
\(695\) | −32.1259 | + | 18.5479i | −1.21860 | + | 0.703561i | ||||
\(696\) | 19.4202 | − | 110.137i | 0.736120 | − | 4.17475i | ||||
\(697\) | − | 3.38751i | − | 0.128311i | ||||||
\(698\) | 37.4122 | + | 6.59678i | 1.41607 | + | 0.249692i | ||||
\(699\) | 41.0440 | + | 34.4400i | 1.55243 | + | 1.30264i | ||||
\(700\) | −18.3093 | + | 6.66404i | −0.692026 | + | 0.251877i | ||||
\(701\) | 16.4100 | − | 45.0861i | 0.619797 | − | 1.70288i | −0.0876869 | − | 0.996148i | \(-0.527947\pi\) |
0.707484 | − | 0.706730i | \(-0.249830\pi\) | |||||||
\(702\) | 6.11104 | 0.230646 | ||||||||
\(703\) | −4.57134 | + | 10.3492i | −0.172411 | + | 0.390329i | ||||
\(704\) | −21.2180 | −0.799683 | ||||||||
\(705\) | 24.8843 | − | 68.3691i | 0.937198 | − | 2.57493i | ||||
\(706\) | 28.9028 | − | 10.5198i | 1.08777 | − | 0.395917i | ||||
\(707\) | −1.99062 | − | 1.67033i | −0.0748651 | − | 0.0628193i | ||||
\(708\) | −49.3363 | − | 8.69932i | −1.85417 | − | 0.326941i | ||||
\(709\) | − | 39.6235i | − | 1.48809i | −0.668129 | − | 0.744046i | \(-0.732905\pi\) | ||
0.668129 | − | 0.744046i | \(-0.267095\pi\) | |||||||
\(710\) | 0.629381 | − | 3.56940i | 0.0236202 | − | 0.133957i | ||||
\(711\) | 6.19851 | − | 3.57871i | 0.232462 | − | 0.134212i | ||||
\(712\) | −3.37064 | + | 2.82830i | −0.126320 | + | 0.105995i | ||||
\(713\) | 8.43118 | − | 14.6032i | 0.315750 | − | 0.546895i | ||||
\(714\) | 2.58304 | + | 4.47396i | 0.0966679 | + | 0.167434i | ||||
\(715\) | 10.4453 | + | 3.80179i | 0.390633 | + | 0.142179i | ||||
\(716\) | 42.9658 | − | 51.2047i | 1.60571 | − | 1.91361i | ||||
\(717\) | 34.0754 | + | 19.6734i | 1.27257 | + | 0.734717i | ||||
\(718\) | 10.4472 | − | 1.84212i | 0.389886 | − | 0.0687474i | ||||
\(719\) | −6.07958 | − | 34.4790i | −0.226730 | − | 1.28585i | −0.859350 | − | 0.511388i | \(-0.829131\pi\) |
0.632620 | − | 0.774463i | \(-0.281980\pi\) | |||||||
\(720\) | −17.4192 | − | 20.7594i | −0.649177 | − | 0.773659i | ||||
\(721\) | 8.27128 | + | 22.7251i | 0.308038 | + | 0.846329i | ||||
\(722\) | 13.0718 | + | 35.9144i | 0.486481 | + | 1.33660i | ||||
\(723\) | −24.2875 | − | 28.9448i | −0.903264 | − | 1.07647i | ||||
\(724\) | −2.56075 | − | 14.5227i | −0.0951695 | − | 0.539733i | ||||
\(725\) | 31.8966 | − | 5.62422i | 1.18461 | − | 0.208878i | ||||
\(726\) | 13.4858 | + | 7.78604i | 0.500506 | + | 0.288967i | ||||
\(727\) | −3.91285 | + | 4.66316i | −0.145120 | + | 0.172947i | −0.833708 | − | 0.552206i | \(-0.813786\pi\) |
0.688588 | + | 0.725153i | \(0.258231\pi\) | |||||||
\(728\) | 9.21347 | + | 3.35343i | 0.341474 | + | 0.124286i | ||||
\(729\) | 5.47305 | + | 9.47961i | 0.202706 | + | 0.351097i | ||||
\(730\) | −11.2133 | + | 19.4220i | −0.415024 | + | 0.718842i | ||||
\(731\) | 2.51724 | − | 2.11221i | 0.0931035 | − | 0.0781231i | ||||
\(732\) | −6.95094 | + | 4.01313i | −0.256914 | + | 0.148330i | ||||
\(733\) | 0.767589 | − | 4.35322i | 0.0283516 | − | 0.160790i | −0.967345 | − | 0.253463i | \(-0.918430\pi\) |
0.995697 | + | 0.0926737i | \(0.0295414\pi\) | |||||||
\(734\) | 56.0161i | 2.06759i | ||||||||
\(735\) | −31.7263 | − | 5.59421i | −1.17024 | − | 0.206345i | ||||
\(736\) | 2.72014 | + | 2.28247i | 0.100266 | + | 0.0841330i | ||||
\(737\) | 15.1284 | − | 5.50629i | 0.557262 | − | 0.202827i | ||||
\(738\) | 9.79189 | − | 26.9030i | 0.360445 | − | 0.990313i | ||||
\(739\) | 19.8773 | 0.731198 | 0.365599 | − | 0.930773i | \(-0.380864\pi\) | ||||
0.365599 | + | 0.930773i | \(0.380864\pi\) | |||||||
\(740\) | −4.74721 | + | 70.8851i | −0.174511 | + | 2.60579i | ||||
\(741\) | −5.69341 | −0.209153 | ||||||||
\(742\) | 10.2666 | − | 28.2072i | 0.376898 | − | 1.03552i | ||||
\(743\) | −46.9483 | + | 17.0878i | −1.72237 | + | 0.626890i | −0.998041 | − | 0.0625694i | \(-0.980071\pi\) |
−0.724325 | + | 0.689459i | \(0.757848\pi\) | |||||||
\(744\) | 20.1088 | + | 16.8733i | 0.737224 | + | 0.618604i | ||||
\(745\) | 0.789533 | + | 0.139216i | 0.0289262 | + | 0.00510048i | ||||
\(746\) | 54.5957i | 1.99889i | ||||||||
\(747\) | −1.90181 | + | 10.7857i | −0.0695837 | + | 0.394629i | ||||
\(748\) | 6.40075 | − | 3.69548i | 0.234035 | − | 0.135120i | ||||
\(749\) | −6.01479 | + | 5.04701i | −0.219776 | + | 0.184414i | ||||
\(750\) | −13.5499 | + | 23.4692i | −0.494774 | + | 0.856974i | ||||
\(751\) | 4.66637 | + | 8.08239i | 0.170278 | + | 0.294930i | 0.938517 | − | 0.345233i | \(-0.112200\pi\) |
−0.768239 | + | 0.640163i | \(0.778867\pi\) | |||||||
\(752\) | −44.6614 | − | 16.2554i | −1.62863 | − | 0.592774i | ||||
\(753\) | −24.5289 | + | 29.2324i | −0.893883 | + | 1.06529i | ||||
\(754\) | −27.8962 | − | 16.1059i | −1.01592 | − | 0.586541i | ||||
\(755\) | 27.3386 | − | 4.82054i | 0.994954 | − | 0.175437i | ||||
\(756\) | −1.88257 | − | 10.6766i | −0.0684682 | − | 0.388303i | ||||
\(757\) | 19.5011 | + | 23.2405i | 0.708779 | + | 0.844690i | 0.993490 | − | 0.113923i | \(-0.0363418\pi\) |
−0.284710 | + | 0.958614i | \(0.591897\pi\) | |||||||
\(758\) | −5.54853 | − | 15.2445i | −0.201532 | − | 0.553704i | ||||
\(759\) | −16.4638 | − | 45.2338i | −0.597597 | − | 1.64188i | ||||
\(760\) | −17.3762 | − | 20.7081i | −0.630299 | − | 0.751162i | ||||
\(761\) | 5.95667 | + | 33.7819i | 0.215929 | + | 1.22459i | 0.879287 | + | 0.476292i | \(0.158020\pi\) |
−0.663358 | + | 0.748302i | \(0.730869\pi\) | |||||||
\(762\) | −42.1209 | + | 7.42705i | −1.52588 | + | 0.269054i | ||||
\(763\) | 5.10110 | + | 2.94512i | 0.184672 | + | 0.106621i | ||||
\(764\) | 22.8682 | − | 27.2532i | 0.827341 | − | 0.985987i | ||||
\(765\) | −3.77746 | − | 1.37488i | −0.136574 | − | 0.0497090i | ||||
\(766\) | −5.80934 | − | 10.0621i | −0.209900 | − | 0.363558i | ||||
\(767\) | −3.65044 | + | 6.32275i | −0.131810 | + | 0.228301i | ||||
\(768\) | 56.4113 | − | 47.3347i | 2.03557 | − | 1.70804i | ||||
\(769\) | 15.2691 | − | 8.81563i | 0.550618 | − | 0.317900i | −0.198753 | − | 0.980050i | \(-0.563689\pi\) |
0.749371 | + | 0.662150i | \(0.230356\pi\) | |||||||
\(770\) | 5.11598 | − | 29.0141i | 0.184367 | − | 1.04560i | ||||
\(771\) | − | 55.8333i | − | 2.01079i | ||||||
\(772\) | −41.9388 | − | 7.39494i | −1.50941 | − | 0.266150i | ||||
\(773\) | −6.77749 | − | 5.68699i | −0.243769 | − | 0.204547i | 0.512714 | − | 0.858559i | \(-0.328640\pi\) |
−0.756484 | + | 0.654012i | \(0.773084\pi\) | |||||||
\(774\) | 26.0970 | − | 9.49853i | 0.938037 | − | 0.341418i | ||||
\(775\) | −2.60012 | + | 7.14376i | −0.0933989 | + | 0.256611i | ||||
\(776\) | −66.6003 | −2.39081 | ||||||||
\(777\) | 11.1719 | − | 16.6686i | 0.400788 | − | 0.597981i | ||||
\(778\) | 79.4506 | 2.84844 | ||||||||
\(779\) | 3.38427 | − | 9.29822i | 0.121254 | − | 0.333143i | ||||
\(780\) | −33.5949 | + | 12.2275i | −1.20289 | + | 0.437816i | ||||
\(781\) | 1.12195 | + | 0.941429i | 0.0401466 | + | 0.0336870i | ||||
\(782\) | 11.3678 | + | 2.00445i | 0.406512 | + | 0.0716790i | ||||
\(783\) | 18.0213i | 0.644029i | ||||||||
\(784\) | −3.65435 | + | 20.7249i | −0.130513 | + | 0.740174i | ||||
\(785\) | 16.3028 | − | 9.41240i | 0.581870 | − | 0.335943i | ||||
\(786\) | −32.0253 | + | 26.8724i | −1.14230 | + | 0.958508i | ||||
\(787\) | −23.0575 | + | 39.9368i | −0.821911 | + | 1.42359i | 0.0823459 | + | 0.996604i | \(0.473759\pi\) |
−0.904257 | + | 0.426988i | \(0.859575\pi\) | |||||||
\(788\) | −30.3686 | − | 52.5999i | −1.08184 | − | 1.87379i | ||||
\(789\) | −35.0734 | − | 12.7657i | −1.24865 | − | 0.454470i | ||||
\(790\) | 14.9175 | − | 17.7780i | 0.530740 | − | 0.632511i | ||||
\(791\) | −13.4190 | − | 7.74746i | −0.477125 | − | 0.275468i | ||||
\(792\) | 31.1255 | − | 5.48826i | 1.10599 | − | 0.195017i | ||||
\(793\) | 0.203116 | + | 1.15193i | 0.00721285 | + | 0.0409061i | ||||
\(794\) | −37.2806 | − | 44.4293i | −1.32304 | − | 1.57674i | ||||
\(795\) | 18.9411 | + | 52.0402i | 0.671771 | + | 1.84568i | ||||
\(796\) | 15.0934 | + | 41.4688i | 0.534971 | + | 1.46982i | ||||
\(797\) | 25.5181 | + | 30.4113i | 0.903898 | + | 1.07722i | 0.996670 | + | 0.0815360i | \(0.0259826\pi\) |
−0.0927727 | + | 0.995687i | \(0.529573\pi\) | |||||||
\(798\) | 2.62038 | + | 14.8609i | 0.0927606 | + | 0.526071i | ||||
\(799\) | −6.94305 | + | 1.22425i | −0.245627 | + | 0.0433107i | ||||
\(800\) | −1.38641 | − | 0.800443i | −0.0490169 | − | 0.0282999i | ||||
\(801\) | −1.22853 | + | 1.46411i | −0.0434081 | + | 0.0517317i | ||||
\(802\) | −45.1050 | − | 16.4169i | −1.59271 | − | 0.579700i | ||||
\(803\) | −4.53118 | − | 7.84823i | −0.159902 | − | 0.276958i | ||||
\(804\) | −25.8898 | + | 44.8424i | −0.913061 | + | 1.58147i | ||||
\(805\) | 23.5928 | − | 19.7967i | 0.831537 | − | 0.697742i | ||||
\(806\) | 6.54777 | − | 3.78036i | 0.230635 | − | 0.133157i | ||||
\(807\) | −6.88221 | + | 39.0309i | −0.242265 | + | 1.37395i | ||||
\(808\) | − | 9.03883i | − | 0.317985i | ||||||
\(809\) | −24.1279 | − | 4.25440i | −0.848292 | − | 0.149577i | −0.267429 | − | 0.963578i | \(-0.586174\pi\) |
−0.580864 | + | 0.814001i | \(0.697285\pi\) | |||||||
\(810\) | 58.5718 | + | 49.1476i | 2.05800 | + | 1.72687i | ||||
\(811\) | −23.5403 | + | 8.56798i | −0.826613 | + | 0.300862i | −0.720468 | − | 0.693488i | \(-0.756073\pi\) |
−0.106145 | + | 0.994351i | \(0.533851\pi\) | |||||||
\(812\) | −19.5448 | + | 53.6988i | −0.685886 | + | 1.88446i | ||||
\(813\) | −6.40469 | −0.224622 | ||||||||
\(814\) | −35.6283 | − | 23.8793i | −1.24877 | − | 0.836970i | ||||
\(815\) | 27.0106 | 0.946138 | ||||||||
\(816\) | −2.12944 | + | 5.85058i | −0.0745452 | + | 0.204811i | ||||
\(817\) | 9.01965 | − | 3.28288i | 0.315557 | − | 0.114854i | ||||
\(818\) | −22.6910 | − | 19.0400i | −0.793374 | − | 0.665720i | ||||
\(819\) | 4.19421 | + | 0.739552i | 0.146557 | + | 0.0258420i | ||||
\(820\) | − | 62.1339i | − | 2.16981i | ||||||
\(821\) | 0.657092 | − | 3.72655i | 0.0229327 | − | 0.130058i | −0.971192 | − | 0.238298i | \(-0.923411\pi\) |
0.994125 | + | 0.108240i | \(0.0345216\pi\) | |||||||
\(822\) | 56.3944 | − | 32.5593i | 1.96698 | − | 1.13564i | ||||
\(823\) | 22.4077 | − | 18.8023i | 0.781082 | − | 0.655406i | −0.162439 | − | 0.986719i | \(-0.551936\pi\) |
0.943521 | + | 0.331313i | \(0.107491\pi\) | |||||||
\(824\) | −42.0599 | + | 72.8498i | −1.46522 | + | 2.53784i | ||||
\(825\) | 10.8510 | + | 18.7945i | 0.377783 | + | 0.654340i | ||||
\(826\) | 18.1838 | + | 6.61835i | 0.632694 | + | 0.230282i | ||||
\(827\) | −0.869232 | + | 1.03591i | −0.0302262 | + | 0.0360222i | −0.780946 | − | 0.624599i | \(-0.785263\pi\) |
0.750720 | + | 0.660621i | \(0.229707\pi\) | |||||||
\(828\) | 56.5499 | + | 32.6491i | 1.96525 | + | 1.13464i | ||||
\(829\) | 37.5106 | − | 6.61414i | 1.30280 | − | 0.229719i | 0.521165 | − | 0.853456i | \(-0.325498\pi\) |
0.781634 | + | 0.623737i | \(0.214387\pi\) | |||||||
\(830\) | 6.16650 | + | 34.9720i | 0.214042 | + | 1.21389i | ||||
\(831\) | 32.4956 | + | 38.7268i | 1.12726 | + | 1.34342i | ||||
\(832\) | −3.40147 | − | 9.34547i | −0.117925 | − | 0.323996i | ||||
\(833\) | 1.06769 | + | 2.93345i | 0.0369932 | + | 0.101638i | ||||
\(834\) | 46.2996 | + | 55.1777i | 1.60322 | + | 1.91065i | ||||
\(835\) | 3.12986 | + | 17.7503i | 0.108313 | + | 0.614275i | ||||
\(836\) | 21.2611 | − | 3.74890i | 0.735329 | − | 0.129658i | ||||
\(837\) | −3.66324 | − | 2.11497i | −0.126620 | − | 0.0731042i | ||||
\(838\) | 52.1486 | − | 62.1483i | 1.80144 | − | 2.14688i | ||||
\(839\) | 10.1555 | + | 3.69628i | 0.350605 | + | 0.127610i | 0.511319 | − | 0.859391i | \(-0.329157\pi\) |
−0.160713 | + | 0.987001i | \(0.551379\pi\) | |||||||
\(840\) | 23.9723 | + | 41.5212i | 0.827121 | + | 1.43262i | ||||
\(841\) | 32.9958 | − | 57.1504i | 1.13779 | − | 1.97070i | ||||
\(842\) | 3.42626 | − | 2.87497i | 0.118077 | − | 0.0990781i | ||||
\(843\) | −1.63009 | + | 0.941131i | −0.0561432 | + | 0.0324143i | ||||
\(844\) | −3.19238 | + | 18.1049i | −0.109886 | + | 0.623197i | ||||
\(845\) | − | 32.2947i | − | 1.11097i | ||||||
\(846\) | −58.6792 | − | 10.3467i | −2.01743 | − | 0.355728i | ||||
\(847\) | −3.08408 | − | 2.58785i | −0.105970 | − | 0.0889196i | ||||
\(848\) | 33.9947 | − | 12.3731i | 1.16738 | − | 0.424893i | ||||
\(849\) | −22.4474 | + | 61.6736i | −0.770391 | + | 2.11663i | ||||
\(850\) | −5.20412 | −0.178500 | ||||||||
\(851\) | −12.4853 | − | 43.0627i | −0.427990 | − | 1.47617i | ||||
\(852\) | −4.71054 | −0.161381 | ||||||||
\(853\) | 14.6360 | − | 40.2121i | 0.501127 | − | 1.37683i | −0.389049 | − | 0.921217i | \(-0.627196\pi\) |
0.890176 | − | 0.455618i | \(-0.150582\pi\) | |||||||
\(854\) | 2.91328 | − | 1.06035i | 0.0996902 | − | 0.0362843i | ||||
\(855\) | −8.99500 | − | 7.54770i | −0.307623 | − | 0.258126i | ||||
\(856\) | −26.8965 | − | 4.74257i | −0.919302 | − | 0.162098i | ||||
\(857\) | 26.7181i | 0.912672i | 0.889808 | + | 0.456336i | \(0.150838\pi\) | ||||
−0.889808 | + | 0.456336i | \(0.849162\pi\) | |||||||
\(858\) | 3.74793 | − | 21.2556i | 0.127952 | − | 0.725653i | ||||
\(859\) | −44.2982 | + | 25.5756i | −1.51143 | + | 0.872627i | −0.511524 | + | 0.859269i | \(0.670919\pi\) |
−0.999911 | + | 0.0133579i | \(0.995748\pi\) | |||||||
\(860\) | 46.1713 | − | 38.7423i | 1.57443 | − | 1.32110i | ||||
\(861\) | −8.77479 | + | 15.1984i | −0.299044 | + | 0.517959i | ||||
\(862\) | 25.2088 | + | 43.6628i | 0.858614 | + | 1.48716i | ||||
\(863\) | −27.0688 | − | 9.85225i | −0.921434 | − | 0.335375i | −0.162625 | − | 0.986688i | \(-0.551996\pi\) |
−0.758809 | + | 0.651313i | \(0.774218\pi\) | |||||||
\(864\) | 0.572561 | − | 0.682352i | 0.0194789 | − | 0.0232141i | ||||
\(865\) | −60.7296 | − | 35.0622i | −2.06487 | − | 1.19215i | ||||
\(866\) | −60.3589 | + | 10.6429i | −2.05108 | + | 0.361660i | ||||
\(867\) | −6.56364 | − | 37.2243i | −0.222913 | − | 1.26420i | ||||
\(868\) | −8.62174 | − | 10.2750i | −0.292641 | − | 0.348756i | ||||
\(869\) | 3.20742 | + | 8.81233i | 0.108804 | + | 0.298938i | ||||
\(870\) | −53.8725 | − | 148.014i | −1.82645 | − | 5.01813i | ||||
\(871\) | 4.85049 | + | 5.78059i | 0.164353 | + | 0.195868i | ||||
\(872\) | 3.55779 | + | 20.1772i | 0.120482 | + | 0.683288i | ||||
\(873\) | −28.4898 | + | 5.02352i | −0.964233 | + | 0.170020i | ||||
\(874\) | 29.2004 | + | 16.8589i | 0.987718 | + | 0.570259i | ||||
\(875\) | 4.50360 | − | 5.36718i | 0.152250 | − | 0.181444i | ||||
\(876\) | 27.3891 | + | 9.96882i | 0.925392 | + | 0.336815i | ||||
\(877\) | 21.4317 | + | 37.1209i | 0.723699 | + | 1.25348i | 0.959507 | + | 0.281683i | \(0.0908928\pi\) |
−0.235809 | + | 0.971799i | \(0.575774\pi\) | |||||||
\(878\) | −47.9844 | + | 83.1113i | −1.61939 | + | 2.80487i | ||||
\(879\) | −4.72194 | + | 3.96218i | −0.159267 | + | 0.133641i | ||||
\(880\) | 30.7497 | − | 17.7533i | 1.03657 | − | 0.598465i | ||||
\(881\) | 1.95748 | − | 11.1014i | 0.0659492 | − | 0.374016i | −0.933914 | − | 0.357497i | \(-0.883630\pi\) |
0.999864 | − | 0.0165195i | \(-0.00525857\pi\) | |||||||
\(882\) | 26.3832i | 0.888368i | ||||||||
\(883\) | −11.4118 | − | 2.01222i | −0.384039 | − | 0.0677165i | −0.0217043 | − | 0.999764i | \(-0.506909\pi\) |
−0.362335 | + | 0.932048i | \(0.618020\pi\) | |||||||
\(884\) | 2.65378 | + | 2.22679i | 0.0892564 | + | 0.0748950i | ||||
\(885\) | −33.5477 | + | 12.2104i | −1.12769 | + | 0.410447i | ||||
\(886\) | 3.07459 | − | 8.44737i | 0.103293 | − | 0.283795i | ||||
\(887\) | −19.0553 | −0.639815 | −0.319907 | − | 0.947449i | \(-0.603652\pi\) | ||||
−0.319907 | + | 0.947449i | \(0.603652\pi\) | |||||||
\(888\) | 69.3937 | − | 7.50008i | 2.32870 | − | 0.251686i | ||||
\(889\) | 11.0579 | 0.370869 | ||||||||
\(890\) | −2.11954 | + | 5.82339i | −0.0710472 | + | 0.195201i | ||||
\(891\) | −29.0334 | + | 10.5673i | −0.972655 | + | 0.354018i | ||||
\(892\) | −5.11052 | − | 4.28823i | −0.171113 | − | 0.143581i | ||||
\(893\) | −20.2807 | − | 3.57604i | −0.678668 | − | 0.119668i | ||||
\(894\) | − | 1.55670i | − | 0.0520637i | ||||||
\(895\) | 8.27157 | − | 46.9104i | 0.276488 | − | 1.56804i | ||||
\(896\) | −24.0364 | + | 13.8774i | −0.803001 | + | 0.463613i | ||||
\(897\) | 17.2839 | − | 14.5029i | 0.577094 | − | 0.484239i | ||||
\(898\) | −0.961237 | + | 1.66491i | −0.0320769 | + | 0.0555588i | ||||
\(899\) | 11.1482 | + | 19.3092i | 0.371812 | + | 0.643998i | ||||
\(900\) | −27.6637 | − | 10.0688i | −0.922123 | − | 0.335625i | ||||
\(901\) | 3.44942 | − | 4.11085i | 0.114917 | − | 0.136952i | ||||
\(902\) | 32.4858 | + | 18.7557i | 1.08166 | + | 0.624496i | ||||
\(903\) | −16.7652 | + | 2.95615i | −0.557910 | + | 0.0983745i | ||||
\(904\) | −9.35916 | − | 53.0784i | −0.311281 | − | 1.76536i | ||||
\(905\) | −6.75502 | − | 8.05032i | −0.224544 | − | 0.267602i | ||||
\(906\) | −18.4358 | − | 50.6520i | −0.612489 | − | 1.68280i | ||||
\(907\) | 7.26152 | + | 19.9509i | 0.241115 | + | 0.662457i | 0.999938 | + | 0.0111605i | \(0.00355257\pi\) |
−0.758823 | + | 0.651297i | \(0.774225\pi\) | |||||||
\(908\) | −41.9579 | − | 50.0035i | −1.39242 | − | 1.65942i | ||||
\(909\) | −0.681779 | − | 3.86656i | −0.0226132 | − | 0.128246i | ||||
\(910\) | 13.5994 | − | 2.39795i | 0.450817 | − | 0.0794912i | ||||
\(911\) | −12.3199 | − | 7.11292i | −0.408178 | − | 0.235662i | 0.281829 | − | 0.959465i | \(-0.409059\pi\) |
−0.690007 | + | 0.723803i | \(0.742392\pi\) | |||||||
\(912\) | −11.6900 | + | 13.9316i | −0.387094 | + | 0.461320i | ||||
\(913\) | −13.4844 | − | 4.90792i | −0.446268 | − | 0.162428i | ||||
\(914\) | 27.5087 | + | 47.6464i | 0.909907 | + | 1.57600i | ||||
\(915\) | −2.85986 | + | 4.95343i | −0.0945441 | + | 0.163755i | ||||
\(916\) | −73.2748 | + | 61.4848i | −2.42107 | + | 2.03152i | ||||
\(917\) | 9.36041 | − | 5.40424i | 0.309108 | − | 0.178464i | ||||
\(918\) | 0.502819 | − | 2.85163i | 0.0165955 | − | 0.0941178i | ||||
\(919\) | − | 14.4599i | − | 0.476988i | −0.971144 | − | 0.238494i | \(-0.923346\pi\) | ||
0.971144 | − | 0.238494i | \(-0.0766537\pi\) | |||||||
\(920\) | 105.500 | + | 18.6026i | 3.47824 | + | 0.613308i | ||||
\(921\) | −30.6554 | − | 25.7229i | −1.01013 | − | 0.847598i | ||||
\(922\) | 50.4637 | − | 18.3673i | 1.66193 | − | 0.604895i | ||||
\(923\) | −0.234792 | + | 0.645086i | −0.00772827 | + | 0.0212333i | ||||
\(924\) | −38.2901 | −1.25965 | ||||||||
\(925\) | 8.91463 | + | 18.1420i | 0.293111 | + | 0.596505i | ||||
\(926\) | 38.1256 | 1.25289 | ||||||||
\(927\) | −12.4971 | + | 34.3356i | −0.410460 | + | 1.12773i | ||||
\(928\) | −4.41203 | + | 1.60585i | −0.144832 | + | 0.0527146i | ||||
\(929\) | 35.7520 | + | 29.9995i | 1.17299 | + | 0.984252i | 1.00000 | 0.000671835i | \(-0.000213852\pi\) | |
0.172987 | + | 0.984924i | \(0.444658\pi\) | |||||||
\(930\) | 36.4096 | + | 6.41999i | 1.19392 | + | 0.210520i | ||||
\(931\) | 9.11855i | 0.298848i | ||||||||
\(932\) | 16.5363 | − | 93.7821i | 0.541665 | − | 3.07193i | ||||
\(933\) | −8.79450 | + | 5.07751i | −0.287919 | + | 0.166230i | ||||
\(934\) | 12.7980 | − | 10.7388i | 0.418764 | − | 0.351385i | ||||
\(935\) | 2.63349 | − | 4.56135i | 0.0861245 | − | 0.149172i | ||||
\(936\) | 7.40705 | + | 12.8294i | 0.242107 | + | 0.419342i | ||||
\(937\) | −3.55157 | − | 1.29267i | −0.116025 | − | 0.0422296i | 0.283355 | − | 0.959015i | \(-0.408552\pi\) |
−0.399380 | + | 0.916785i | \(0.630775\pi\) | |||||||
\(938\) | 12.8561 | − | 15.3213i | 0.419765 | − | 0.500257i | ||||
\(939\) | 39.7960 | + | 22.9763i | 1.29869 | + | 0.749802i | ||||
\(940\) | −127.350 | + | 22.4552i | −4.15369 | + | 0.732407i | ||||
\(941\) | 6.00827 | + | 34.0746i | 0.195864 | + | 1.11080i | 0.911183 | + | 0.412002i | \(0.135170\pi\) |
−0.715319 | + | 0.698798i | \(0.753719\pi\) | |||||||
\(942\) | −23.4954 | − | 28.0007i | −0.765522 | − | 0.912314i | ||||
\(943\) | 13.4116 | + | 36.8482i | 0.436743 | + | 1.19994i | ||||
\(944\) | 7.97629 | + | 21.9147i | 0.259606 | + | 0.713262i | ||||
\(945\) | −4.96603 | − | 5.91828i | −0.161545 | − | 0.192522i | ||||
\(946\) | 6.31863 | + | 35.8347i | 0.205436 | + | 1.16509i | ||||
\(947\) | 23.8688 | − | 4.20871i | 0.775632 | − | 0.136765i | 0.228199 | − | 0.973615i | \(-0.426716\pi\) |
0.547433 | + | 0.836850i | \(0.315605\pi\) | |||||||
\(948\) | −26.1208 | − | 15.0808i | −0.848364 | − | 0.489803i | ||||
\(949\) | 2.73036 | − | 3.25392i | 0.0886313 | − | 0.105627i | ||||
\(950\) | −14.2845 | − | 5.19915i | −0.463452 | − | 0.168683i | ||||
\(951\) | −9.74010 | − | 16.8703i | −0.315844 | − | 0.547058i | ||||
\(952\) | 2.32292 | − | 4.02341i | 0.0752861 | − | 0.130399i | ||||
\(953\) | −12.3734 | + | 10.3826i | −0.400815 | + | 0.336324i | −0.820809 | − | 0.571203i | \(-0.806477\pi\) |
0.419993 | + | 0.907527i | \(0.362032\pi\) | |||||||
\(954\) | 39.2774 | − | 22.6768i | 1.27165 | − | 0.734189i | ||||
\(955\) | 4.40247 | − | 24.9676i | 0.142460 | − | 0.807934i | ||||
\(956\) | − | 69.9330i | − | 2.26180i | ||||||
\(957\) | 62.6822 | + | 11.0526i | 2.02623 | + | 0.357278i | ||||
\(958\) | −23.5848 | − | 19.7900i | −0.761989 | − | 0.639385i | ||||
\(959\) | −15.8203 | + | 5.75813i | −0.510866 | + | 0.185940i | ||||
\(960\) | 16.6329 | − | 45.6986i | 0.536825 | − | 1.47491i | ||||
\(961\) | 25.7666 | 0.831181 | ||||||||
\(962\) | 4.80607 | − | 19.5206i | 0.154954 | − | 0.629369i | ||||
\(963\) | −11.8633 | −0.382289 | ||||||||
\(964\) | −22.9689 | + | 63.1065i | −0.739778 | + | 2.03252i | ||||
\(965\) | −28.5176 | + | 10.3795i | −0.918013 | + | 0.334129i | ||||
\(966\) | −45.8105 | − | 38.4395i | −1.47393 | − | 1.23677i | ||||
\(967\) | 15.3906 | + | 2.71378i | 0.494928 | + | 0.0872692i | 0.415541 | − | 0.909575i | \(-0.363592\pi\) |
0.0793875 | + | 0.996844i | \(0.474704\pi\) | |||||||
\(968\) | − | 14.0039i | − | 0.450102i | ||||||
\(969\) | −0.468456 | + | 2.65675i | −0.0150490 | + | 0.0853470i | ||||
\(970\) | −81.2343 | + | 46.9006i | −2.60828 | + | 1.50589i | ||||
\(971\) | 6.02864 | − | 5.05863i | 0.193468 | − | 0.162339i | −0.540908 | − | 0.841082i | \(-0.681919\pi\) |
0.734376 | + | 0.678743i | \(0.237475\pi\) | |||||||
\(972\) | 38.4575 | − | 66.6103i | 1.23352 | − | 2.13653i | ||||
\(973\) | −9.31118 | − | 16.1274i | −0.298503 | − | 0.517022i | ||||
\(974\) | 50.1341 | + | 18.2473i | 1.60640 | + | 0.584682i | ||||
\(975\) | −6.53851 | + | 7.79229i | −0.209400 | + | 0.249553i | ||||
\(976\) | 3.23577 | + | 1.86817i | 0.103575 | + | 0.0597988i | ||||
\(977\) | −17.0021 | + | 2.99793i | −0.543945 | + | 0.0959123i | −0.438868 | − | 0.898552i | \(-0.644620\pi\) |
−0.105078 | + | 0.994464i | \(0.533509\pi\) | |||||||
\(978\) | −9.10729 | − | 51.6500i | −0.291219 | − | 1.65158i | ||||
\(979\) | −1.60966 | − | 1.91832i | −0.0514450 | − | 0.0613098i | ||||
\(980\) | 19.5836 | + | 53.8055i | 0.625575 | + | 1.71875i | ||||
\(981\) | 3.04385 | + | 8.36291i | 0.0971827 | + | 0.267007i | ||||
\(982\) | 43.1134 | + | 51.3806i | 1.37581 | + | 1.63962i | ||||
\(983\) | −4.26382 | − | 24.1813i | −0.135995 | − | 0.771264i | −0.974162 | − | 0.225851i | \(-0.927484\pi\) |
0.838167 | − | 0.545413i | \(-0.183627\pi\) | |||||||
\(984\) | −60.1167 | + | 10.6002i | −1.91645 | + | 0.337922i | ||||
\(985\) | −37.4841 | − | 21.6415i | −1.19434 | − | 0.689554i | ||||
\(986\) | −9.81088 | + | 11.6921i | −0.312442 | + | 0.372354i | ||||
\(987\) | 34.3218 | + | 12.4921i | 1.09248 | + | 0.397629i | ||||
\(988\) | 5.05958 | + | 8.76345i | 0.160967 | + | 0.278803i | ||||
\(989\) | −19.0191 | + | 32.9420i | −0.604772 | + | 1.04750i | ||||
\(990\) | 34.0997 | − | 28.6130i | 1.08376 | − | 0.909382i | ||||
\(991\) | 37.7019 | − | 21.7672i | 1.19764 | − | 0.691458i | 0.237612 | − | 0.971360i | \(-0.423635\pi\) |
0.960029 | + | 0.279902i | \(0.0903018\pi\) | |||||||
\(992\) | 0.191369 | − | 1.08531i | 0.00607598 | − | 0.0344586i | ||||
\(993\) | 23.6193i | 0.749535i | ||||||||
\(994\) | 1.79186 | + | 0.315954i | 0.0568345 | + | 0.0100215i | ||||
\(995\) | 24.0908 | + | 20.2146i | 0.763730 | + | 0.640846i | ||||
\(996\) | 43.3693 | − | 15.7851i | 1.37421 | − | 0.500171i | ||||
\(997\) | 7.79472 | − | 21.4158i | 0.246861 | − | 0.678246i | −0.752936 | − | 0.658094i | \(-0.771363\pi\) |
0.999797 | − | 0.0201517i | \(-0.00641491\pi\) | |||||||
\(998\) | 85.3377 | 2.70132 | ||||||||
\(999\) | −10.8023 | + | 3.13195i | −0.341771 | + | 0.0990905i |
(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 | 37.2.h.a.21.1 | ✓ | 18 | |
3.2 | odd | 2 | 333.2.bl.d.280.3 | 18 | |||
4.3 | odd | 2 | 592.2.bq.d.465.1 | 18 | |||
5.2 | odd | 4 | 925.2.ba.a.724.1 | 36 | |||
5.3 | odd | 4 | 925.2.ba.a.724.6 | 36 | |||
5.4 | even | 2 | 925.2.bb.a.576.3 | 18 | |||
37.9 | even | 9 | 1369.2.b.g.1368.3 | 18 | |||
37.17 | odd | 36 | 1369.2.a.m.1.3 | 18 | |||
37.20 | odd | 36 | 1369.2.a.m.1.16 | 18 | |||
37.28 | even | 18 | 1369.2.b.g.1368.16 | 18 | |||
37.30 | even | 18 | inner | 37.2.h.a.30.1 | yes | 18 | |
111.104 | odd | 18 | 333.2.bl.d.289.3 | 18 | |||
148.67 | odd | 18 | 592.2.bq.d.289.1 | 18 | |||
185.67 | odd | 36 | 925.2.ba.a.474.6 | 36 | |||
185.104 | even | 18 | 925.2.bb.a.326.3 | 18 | |||
185.178 | odd | 36 | 925.2.ba.a.474.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.2.h.a.21.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
37.2.h.a.30.1 | yes | 18 | 37.30 | even | 18 | inner | |
333.2.bl.d.280.3 | 18 | 3.2 | odd | 2 | |||
333.2.bl.d.289.3 | 18 | 111.104 | odd | 18 | |||
592.2.bq.d.289.1 | 18 | 148.67 | odd | 18 | |||
592.2.bq.d.465.1 | 18 | 4.3 | odd | 2 | |||
925.2.ba.a.474.1 | 36 | 185.178 | odd | 36 | |||
925.2.ba.a.474.6 | 36 | 185.67 | odd | 36 | |||
925.2.ba.a.724.1 | 36 | 5.2 | odd | 4 | |||
925.2.ba.a.724.6 | 36 | 5.3 | odd | 4 | |||
925.2.bb.a.326.3 | 18 | 185.104 | even | 18 | |||
925.2.bb.a.576.3 | 18 | 5.4 | even | 2 | |||
1369.2.a.m.1.3 | 18 | 37.17 | odd | 36 | |||
1369.2.a.m.1.16 | 18 | 37.20 | odd | 36 | |||
1369.2.b.g.1368.3 | 18 | 37.9 | even | 9 | |||
1369.2.b.g.1368.16 | 18 | 37.28 | even | 18 |