Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(29,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.m (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 309.2 | ||
Character | \(\chi\) | \(=\) | 350.309 |
Dual form | 350.2.m.a.239.2 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | 0.195447 | − | 0.0635047i | 0.112842 | − | 0.0366645i | −0.252052 | − | 0.967714i | \(-0.581105\pi\) |
0.364894 | + | 0.931049i | \(0.381105\pi\) | |||||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | 0.0419655 | + | 2.23567i | 0.0187675 | + | 0.999824i | ||||
\(6\) | −0.0635047 | + | 0.195447i | −0.0259257 | + | 0.0797911i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | −2.39288 | + | 1.73853i | −0.797628 | + | 0.579511i | ||||
\(10\) | −1.83337 | − | 1.28015i | −0.579761 | − | 0.404818i | ||||
\(11\) | 0.483397 | + | 0.351209i | 0.145750 | + | 0.105893i | 0.658271 | − | 0.752781i | \(-0.271288\pi\) |
−0.512521 | + | 0.858675i | \(0.671288\pi\) | |||||||
\(12\) | −0.120793 | − | 0.166258i | −0.0348700 | − | 0.0479944i | ||||
\(13\) | −1.59798 | − | 2.19943i | −0.443201 | − | 0.610013i | 0.527719 | − | 0.849419i | \(-0.323047\pi\) |
−0.970920 | + | 0.239406i | \(0.923047\pi\) | |||||||
\(14\) | −0.809017 | − | 0.587785i | −0.216219 | − | 0.157092i | ||||
\(15\) | 0.150178 | + | 0.434292i | 0.0387758 | + | 0.112134i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.72127 | + | 0.559274i | 0.417469 | + | 0.135644i | 0.510217 | − | 0.860046i | \(-0.329565\pi\) |
−0.0927479 | + | 0.995690i | \(0.529565\pi\) | |||||||
\(18\) | − | 2.95777i | − | 0.697152i | ||||||
\(19\) | −2.23744 | + | 6.88612i | −0.513303 | + | 1.57978i | 0.273045 | + | 0.962001i | \(0.411969\pi\) |
−0.786348 | + | 0.617784i | \(0.788031\pi\) | |||||||
\(20\) | 2.11328 | − | 0.730773i | 0.472545 | − | 0.163406i | ||||
\(21\) | 0.0635047 | + | 0.195447i | 0.0138579 | + | 0.0426501i | ||||
\(22\) | −0.568268 | + | 0.184641i | −0.121155 | + | 0.0393657i | ||||
\(23\) | −0.516806 | + | 0.711323i | −0.107762 | + | 0.148321i | −0.859492 | − | 0.511150i | \(-0.829220\pi\) |
0.751730 | + | 0.659471i | \(0.229220\pi\) | |||||||
\(24\) | 0.205506 | 0.0419487 | ||||||||
\(25\) | −4.99648 | + | 0.187642i | −0.999296 | + | 0.0375285i | ||||
\(26\) | 2.71865 | 0.533171 | ||||||||
\(27\) | −0.719658 | + | 0.990524i | −0.138498 | + | 0.190626i | ||||
\(28\) | 0.951057 | − | 0.309017i | 0.179733 | − | 0.0583987i | ||||
\(29\) | 1.25308 | + | 3.85659i | 0.232692 | + | 0.716151i | 0.997419 | + | 0.0717976i | \(0.0228736\pi\) |
−0.764728 | + | 0.644354i | \(0.777126\pi\) | |||||||
\(30\) | −0.439622 | − | 0.133774i | −0.0802636 | − | 0.0244236i | ||||
\(31\) | −1.36453 | + | 4.19959i | −0.245077 | + | 0.754268i | 0.750547 | + | 0.660817i | \(0.229790\pi\) |
−0.995624 | + | 0.0934513i | \(0.970210\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.116782 | + | 0.0379448i | 0.0203292 | + | 0.00660535i | ||||
\(34\) | −1.46420 | + | 1.06380i | −0.251108 | + | 0.182441i | ||||
\(35\) | −2.23567 | + | 0.0419655i | −0.377898 | + | 0.00709346i | ||||
\(36\) | 2.39288 | + | 1.73853i | 0.398814 | + | 0.289755i | ||||
\(37\) | −2.27805 | − | 3.13546i | −0.374509 | − | 0.515467i | 0.579611 | − | 0.814894i | \(-0.303205\pi\) |
−0.954119 | + | 0.299426i | \(0.903205\pi\) | |||||||
\(38\) | −4.25586 | − | 5.85769i | −0.690391 | − | 0.950242i | ||||
\(39\) | −0.451996 | − | 0.328394i | −0.0723773 | − | 0.0525852i | ||||
\(40\) | −0.650950 | + | 2.13922i | −0.102924 | + | 0.338240i | ||||
\(41\) | 4.93070 | − | 3.58236i | 0.770046 | − | 0.559471i | −0.131929 | − | 0.991259i | \(-0.542117\pi\) |
0.901975 | + | 0.431788i | \(0.142117\pi\) | |||||||
\(42\) | −0.195447 | − | 0.0635047i | −0.0301582 | − | 0.00979899i | ||||
\(43\) | − | 0.789626i | − | 0.120417i | −0.998186 | − | 0.0602084i | \(-0.980823\pi\) | ||
0.998186 | − | 0.0602084i | \(-0.0191765\pi\) | |||||||
\(44\) | 0.184641 | − | 0.568268i | 0.0278357 | − | 0.0856696i | ||||
\(45\) | −3.98721 | − | 5.27675i | −0.594378 | − | 0.786612i | ||||
\(46\) | −0.271701 | − | 0.836210i | −0.0400602 | − | 0.123292i | ||||
\(47\) | 0.430533 | − | 0.139889i | 0.0627998 | − | 0.0204049i | −0.277449 | − | 0.960740i | \(-0.589489\pi\) |
0.340248 | + | 0.940336i | \(0.389489\pi\) | |||||||
\(48\) | −0.120793 | + | 0.166258i | −0.0174350 | + | 0.0239972i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 2.78505 | − | 4.15253i | 0.393866 | − | 0.587256i | ||||
\(51\) | 0.371934 | 0.0520812 | ||||||||
\(52\) | −1.59798 | + | 2.19943i | −0.221600 | + | 0.305007i | ||||
\(53\) | 9.74573 | − | 3.16658i | 1.33868 | − | 0.434963i | 0.449809 | − | 0.893125i | \(-0.351492\pi\) |
0.888869 | + | 0.458162i | \(0.151492\pi\) | |||||||
\(54\) | −0.378346 | − | 1.16443i | −0.0514864 | − | 0.158459i | ||||
\(55\) | −0.764902 | + | 1.09546i | −0.103139 | + | 0.147711i | ||||
\(56\) | −0.309017 | + | 0.951057i | −0.0412941 | + | 0.127090i | ||||
\(57\) | 1.48796i | 0.197085i | ||||||||
\(58\) | −3.85659 | − | 1.25308i | −0.506396 | − | 0.164538i | ||||
\(59\) | 1.21560 | − | 0.883186i | 0.158258 | − | 0.114981i | −0.505838 | − | 0.862628i | \(-0.668817\pi\) |
0.664096 | + | 0.747647i | \(0.268817\pi\) | |||||||
\(60\) | 0.366629 | − | 0.277031i | 0.0473315 | − | 0.0357646i | ||||
\(61\) | 9.35755 | + | 6.79866i | 1.19811 | + | 0.870479i | 0.994098 | − | 0.108489i | \(-0.0346011\pi\) |
0.204014 | + | 0.978968i | \(0.434601\pi\) | |||||||
\(62\) | −2.59549 | − | 3.57238i | −0.329627 | − | 0.453693i | ||||
\(63\) | −1.73853 | − | 2.39288i | −0.219034 | − | 0.301475i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 4.85016 | − | 3.66487i | 0.601588 | − | 0.454571i | ||||
\(66\) | −0.0993408 | + | 0.0721753i | −0.0122280 | + | 0.00888417i | ||||
\(67\) | −3.66555 | − | 1.19101i | −0.447818 | − | 0.145505i | 0.0764220 | − | 0.997076i | \(-0.475650\pi\) |
−0.524240 | + | 0.851571i | \(0.675650\pi\) | |||||||
\(68\) | − | 1.80985i | − | 0.219477i | ||||||
\(69\) | −0.0558361 | + | 0.171846i | −0.00672188 | + | 0.0206878i | ||||
\(70\) | 1.28015 | − | 1.83337i | 0.153007 | − | 0.219129i | ||||
\(71\) | −0.329896 | − | 1.01532i | −0.0391514 | − | 0.120496i | 0.929571 | − | 0.368644i | \(-0.120178\pi\) |
−0.968722 | + | 0.248148i | \(0.920178\pi\) | |||||||
\(72\) | −2.81300 | + | 0.914000i | −0.331516 | + | 0.107716i | ||||
\(73\) | 4.35351 | − | 5.99209i | 0.509540 | − | 0.701322i | −0.474302 | − | 0.880362i | \(-0.657299\pi\) |
0.983842 | + | 0.179041i | \(0.0572994\pi\) | |||||||
\(74\) | 3.87565 | 0.450535 | ||||||||
\(75\) | −0.964633 | + | 0.353974i | −0.111386 | + | 0.0408734i | ||||
\(76\) | 7.24050 | 0.830542 | ||||||||
\(77\) | −0.351209 | + | 0.483397i | −0.0400239 | + | 0.0550882i | ||||
\(78\) | 0.531353 | − | 0.172647i | 0.0601639 | − | 0.0195484i | ||||
\(79\) | 1.32550 | + | 4.07947i | 0.149130 | + | 0.458976i | 0.997519 | − | 0.0703978i | \(-0.0224269\pi\) |
−0.848389 | + | 0.529374i | \(0.822427\pi\) | |||||||
\(80\) | −1.34805 | − | 1.78403i | −0.150716 | − | 0.199461i | ||||
\(81\) | 2.66425 | − | 8.19972i | 0.296028 | − | 0.911079i | ||||
\(82\) | 6.09468i | 0.673045i | ||||||||
\(83\) | 0.811986 | + | 0.263830i | 0.0891271 | + | 0.0289591i | 0.353241 | − | 0.935532i | \(-0.385080\pi\) |
−0.264114 | + | 0.964491i | \(0.585080\pi\) | |||||||
\(84\) | 0.166258 | − | 0.120793i | 0.0181402 | − | 0.0131796i | ||||
\(85\) | −1.17812 | + | 3.87167i | −0.127785 | + | 0.419941i | ||||
\(86\) | 0.638821 | + | 0.464130i | 0.0688858 | + | 0.0500485i | ||||
\(87\) | 0.489824 | + | 0.674185i | 0.0525146 | + | 0.0722802i | ||||
\(88\) | 0.351209 | + | 0.483397i | 0.0374390 | + | 0.0515303i | ||||
\(89\) | 9.67930 | + | 7.03242i | 1.02600 | + | 0.745435i | 0.967505 | − | 0.252853i | \(-0.0813687\pi\) |
0.0584984 | + | 0.998288i | \(0.481369\pi\) | |||||||
\(90\) | 6.61260 | − | 0.124124i | 0.697030 | − | 0.0130838i | ||||
\(91\) | 2.19943 | − | 1.59798i | 0.230563 | − | 0.167514i | ||||
\(92\) | 0.836210 | + | 0.271701i | 0.0871810 | + | 0.0283268i | ||||
\(93\) | 0.907452i | 0.0940984i | ||||||||
\(94\) | −0.139889 | + | 0.430533i | −0.0144284 | + | 0.0444061i | ||||
\(95\) | −15.4890 | − | 4.71320i | −1.58914 | − | 0.483564i | ||||
\(96\) | −0.0635047 | − | 0.195447i | −0.00648142 | − | 0.0199478i | ||||
\(97\) | 3.27298 | − | 1.06346i | 0.332321 | − | 0.107978i | −0.138104 | − | 0.990418i | \(-0.544101\pi\) |
0.470425 | + | 0.882440i | \(0.344101\pi\) | |||||||
\(98\) | 0.587785 | − | 0.809017i | 0.0593753 | − | 0.0817231i | ||||
\(99\) | −1.76730 | −0.177620 | ||||||||
\(100\) | 1.72246 | + | 4.69395i | 0.172246 | + | 0.469395i | ||||
\(101\) | 13.8998 | 1.38308 | 0.691539 | − | 0.722339i | \(-0.256933\pi\) | ||||
0.691539 | + | 0.722339i | \(0.256933\pi\) | |||||||
\(102\) | −0.218617 | + | 0.300901i | −0.0216464 | + | 0.0297937i | ||||
\(103\) | 17.8160 | − | 5.78877i | 1.75546 | − | 0.570384i | 0.758749 | − | 0.651384i | \(-0.225811\pi\) |
0.996714 | + | 0.0809992i | \(0.0258111\pi\) | |||||||
\(104\) | −0.840109 | − | 2.58559i | −0.0823795 | − | 0.253538i | ||||
\(105\) | −0.434292 | + | 0.150178i | −0.0423825 | + | 0.0146559i | ||||
\(106\) | −3.16658 | + | 9.74573i | −0.307565 | + | 0.946589i | ||||
\(107\) | − | 15.4645i | − | 1.49501i | −0.664255 | − | 0.747506i | \(-0.731251\pi\) | ||
0.664255 | − | 0.747506i | \(-0.268749\pi\) | |||||||
\(108\) | 1.16443 | + | 0.378346i | 0.112047 | + | 0.0364064i | ||||
\(109\) | −5.75790 | + | 4.18336i | −0.551507 | + | 0.400693i | −0.828341 | − | 0.560225i | \(-0.810715\pi\) |
0.276834 | + | 0.960918i | \(0.410715\pi\) | |||||||
\(110\) | −0.436645 | − | 1.26271i | −0.0416325 | − | 0.120395i | ||||
\(111\) | −0.644355 | − | 0.468152i | −0.0611595 | − | 0.0444350i | ||||
\(112\) | −0.587785 | − | 0.809017i | −0.0555405 | − | 0.0764449i | ||||
\(113\) | 5.71385 | + | 7.86444i | 0.537514 | + | 0.739824i | 0.988252 | − | 0.152832i | \(-0.0488393\pi\) |
−0.450739 | + | 0.892656i | \(0.648839\pi\) | |||||||
\(114\) | −1.20379 | − | 0.874603i | −0.112745 | − | 0.0819140i | ||||
\(115\) | −1.61197 | − | 1.12556i | −0.150317 | − | 0.104959i | ||||
\(116\) | 3.28061 | − | 2.38351i | 0.304597 | − | 0.221303i | ||||
\(117\) | 7.64757 | + | 2.48485i | 0.707019 | + | 0.229724i | ||||
\(118\) | 1.50257i | 0.138322i | ||||||||
\(119\) | −0.559274 | + | 1.72127i | −0.0512686 | + | 0.157789i | ||||
\(120\) | 0.00862414 | + | 0.459444i | 0.000787273 | + | 0.0419413i | ||||
\(121\) | −3.28886 | − | 10.1221i | −0.298987 | − | 0.920189i | ||||
\(122\) | −11.0005 | + | 3.57427i | −0.995935 | + | 0.323599i | ||||
\(123\) | 0.736195 | − | 1.01329i | 0.0663805 | − | 0.0913649i | ||||
\(124\) | 4.41571 | 0.396542 | ||||||||
\(125\) | −0.629187 | − | 11.1626i | −0.0562762 | − | 0.998415i | ||||
\(126\) | 2.95777 | 0.263499 | ||||||||
\(127\) | −12.8753 | + | 17.7213i | −1.14250 | + | 1.57251i | −0.380695 | + | 0.924701i | \(0.624315\pi\) |
−0.761802 | + | 0.647810i | \(0.775685\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | −0.0501450 | − | 0.154330i | −0.00441502 | − | 0.0135880i | ||||
\(130\) | 0.114090 | + | 6.07802i | 0.0100063 | + | 0.533077i | ||||
\(131\) | −0.562324 | + | 1.73065i | −0.0491305 | + | 0.151208i | −0.972612 | − | 0.232435i | \(-0.925331\pi\) |
0.923481 | + | 0.383643i | \(0.125331\pi\) | |||||||
\(132\) | − | 0.122792i | − | 0.0106877i | ||||||
\(133\) | −6.88612 | − | 2.23744i | −0.597103 | − | 0.194010i | ||||
\(134\) | 3.11810 | − | 2.26543i | 0.269363 | − | 0.195704i | ||||
\(135\) | −2.24469 | − | 1.56735i | −0.193192 | − | 0.134896i | ||||
\(136\) | 1.46420 | + | 1.06380i | 0.125554 | + | 0.0912204i | ||||
\(137\) | −10.7406 | − | 14.7831i | −0.917630 | − | 1.26301i | −0.964493 | − | 0.264108i | \(-0.914923\pi\) |
0.0468633 | − | 0.998901i | \(-0.485077\pi\) | |||||||
\(138\) | −0.106207 | − | 0.146181i | −0.00904091 | − | 0.0124437i | ||||
\(139\) | −0.431646 | − | 0.313609i | −0.0366117 | − | 0.0266000i | 0.569329 | − | 0.822110i | \(-0.307203\pi\) |
−0.605941 | + | 0.795510i | \(0.707203\pi\) | |||||||
\(140\) | 0.730773 | + | 2.11328i | 0.0617616 | + | 0.178605i | ||||
\(141\) | 0.0752631 | − | 0.0546818i | 0.00633829 | − | 0.00460504i | ||||
\(142\) | 1.01532 | + | 0.329896i | 0.0852033 | + | 0.0276842i | ||||
\(143\) | − | 1.62443i | − | 0.135841i | ||||||
\(144\) | 0.914000 | − | 2.81300i | 0.0761667 | − | 0.234417i | ||||
\(145\) | −8.56950 | + | 2.96333i | −0.711658 | + | 0.246091i | ||||
\(146\) | 2.28878 | + | 7.04413i | 0.189420 | + | 0.582976i | ||||
\(147\) | −0.195447 | + | 0.0635047i | −0.0161202 | + | 0.00523778i | ||||
\(148\) | −2.27805 | + | 3.13546i | −0.187254 | + | 0.257734i | ||||
\(149\) | −6.57541 | −0.538679 | −0.269339 | − | 0.963045i | \(-0.586805\pi\) | ||||
−0.269339 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(150\) | 0.280626 | − | 0.988465i | 0.0229130 | − | 0.0807078i | ||||
\(151\) | −21.8023 | −1.77424 | −0.887122 | − | 0.461535i | \(-0.847299\pi\) | ||||
−0.887122 | + | 0.461535i | \(0.847299\pi\) | |||||||
\(152\) | −4.25586 | + | 5.85769i | −0.345196 | + | 0.475121i | ||||
\(153\) | −5.09112 | + | 1.65420i | −0.411592 | + | 0.133734i | ||||
\(154\) | −0.184641 | − | 0.568268i | −0.0148788 | − | 0.0457923i | ||||
\(155\) | −9.44617 | − | 2.87440i | −0.758735 | − | 0.230878i | ||||
\(156\) | −0.172647 | + | 0.531353i | −0.0138228 | + | 0.0425423i | ||||
\(157\) | 5.49190i | 0.438301i | 0.975691 | + | 0.219151i | \(0.0703286\pi\) | ||||
−0.975691 | + | 0.219151i | \(0.929671\pi\) | |||||||
\(158\) | −4.07947 | − | 1.32550i | −0.324545 | − | 0.105451i | ||||
\(159\) | 1.70368 | − | 1.23780i | 0.135111 | − | 0.0981639i | ||||
\(160\) | 2.23567 | − | 0.0419655i | 0.176746 | − | 0.00331766i | ||||
\(161\) | −0.711323 | − | 0.516806i | −0.0560601 | − | 0.0407301i | ||||
\(162\) | 5.06770 | + | 6.97509i | 0.398156 | + | 0.548015i | ||||
\(163\) | 4.08905 | + | 5.62809i | 0.320279 | + | 0.440826i | 0.938552 | − | 0.345137i | \(-0.112168\pi\) |
−0.618273 | + | 0.785963i | \(0.712168\pi\) | |||||||
\(164\) | −4.93070 | − | 3.58236i | −0.385023 | − | 0.279735i | ||||
\(165\) | −0.0799314 | + | 0.262679i | −0.00622265 | + | 0.0204496i | ||||
\(166\) | −0.690717 | + | 0.501835i | −0.0536100 | + | 0.0389500i | ||||
\(167\) | 3.03951 | + | 0.987596i | 0.235204 | + | 0.0764224i | 0.424247 | − | 0.905546i | \(-0.360539\pi\) |
−0.189043 | + | 0.981969i | \(0.560539\pi\) | |||||||
\(168\) | 0.205506i | 0.0158551i | ||||||||
\(169\) | 1.73326 | − | 5.33442i | 0.133328 | − | 0.410340i | ||||
\(170\) | −2.43976 | − | 3.22883i | −0.187121 | − | 0.247640i | ||||
\(171\) | −6.61782 | − | 20.3675i | −0.506077 | − | 1.55755i | ||||
\(172\) | −0.750979 | + | 0.244008i | −0.0572616 | + | 0.0186054i | ||||
\(173\) | −5.78976 | + | 7.96892i | −0.440187 | + | 0.605866i | −0.970254 | − | 0.242090i | \(-0.922167\pi\) |
0.530067 | + | 0.847956i | \(0.322167\pi\) | |||||||
\(174\) | −0.833338 | −0.0631752 | ||||||||
\(175\) | −0.187642 | − | 4.99648i | −0.0141844 | − | 0.377698i | ||||
\(176\) | −0.597512 | −0.0450391 | ||||||||
\(177\) | 0.181500 | − | 0.249813i | 0.0136424 | − | 0.0187771i | ||||
\(178\) | −11.3787 | + | 3.69716i | −0.852869 | + | 0.277114i | ||||
\(179\) | 6.83054 | + | 21.0222i | 0.510538 | + | 1.57127i | 0.791256 | + | 0.611485i | \(0.209427\pi\) |
−0.280718 | + | 0.959790i | \(0.590573\pi\) | |||||||
\(180\) | −3.78637 | + | 5.42267i | −0.282220 | + | 0.404182i | ||||
\(181\) | −6.56272 | + | 20.1980i | −0.487803 | + | 1.50130i | 0.340076 | + | 0.940398i | \(0.389547\pi\) |
−0.827879 | + | 0.560907i | \(0.810453\pi\) | |||||||
\(182\) | 2.71865i | 0.201520i | ||||||||
\(183\) | 2.26066 | + | 0.734532i | 0.167113 | + | 0.0542982i | ||||
\(184\) | −0.711323 | + | 0.516806i | −0.0524394 | + | 0.0380995i | ||||
\(185\) | 6.91428 | − | 5.22455i | 0.508348 | − | 0.384117i | ||||
\(186\) | −0.734144 | − | 0.533387i | −0.0538301 | − | 0.0391098i | ||||
\(187\) | 0.635635 | + | 0.874876i | 0.0464822 | + | 0.0639773i | ||||
\(188\) | −0.266084 | − | 0.366234i | −0.0194062 | − | 0.0267103i | ||||
\(189\) | −0.990524 | − | 0.719658i | −0.0720500 | − | 0.0523474i | ||||
\(190\) | 12.9173 | − | 9.76053i | 0.937118 | − | 0.708103i | ||||
\(191\) | −7.68045 | + | 5.58017i | −0.555738 | + | 0.403767i | −0.829897 | − | 0.557917i | \(-0.811601\pi\) |
0.274159 | + | 0.961684i | \(0.411601\pi\) | |||||||
\(192\) | 0.195447 | + | 0.0635047i | 0.0141052 | + | 0.00458306i | ||||
\(193\) | − | 13.2568i | − | 0.954245i | −0.878837 | − | 0.477122i | \(-0.841680\pi\) | ||
0.878837 | − | 0.477122i | \(-0.158320\pi\) | |||||||
\(194\) | −1.06346 | + | 3.27298i | −0.0763517 | + | 0.234986i | ||||
\(195\) | 0.715215 | − | 1.02430i | 0.0512176 | − | 0.0733514i | ||||
\(196\) | 0.309017 | + | 0.951057i | 0.0220726 | + | 0.0679326i | ||||
\(197\) | 12.6702 | − | 4.11680i | 0.902714 | − | 0.293310i | 0.179357 | − | 0.983784i | \(-0.442598\pi\) |
0.723357 | + | 0.690474i | \(0.242598\pi\) | |||||||
\(198\) | 1.03879 | − | 1.42978i | 0.0738238 | − | 0.101610i | ||||
\(199\) | 10.0050 | 0.709234 | 0.354617 | − | 0.935012i | \(-0.384611\pi\) | ||||
0.354617 | + | 0.935012i | \(0.384611\pi\) | |||||||
\(200\) | −4.80992 | − | 1.36554i | −0.340113 | − | 0.0965581i | ||||
\(201\) | −0.792056 | −0.0558673 | ||||||||
\(202\) | −8.17008 | + | 11.2451i | −0.574845 | + | 0.791206i | ||||
\(203\) | −3.85659 | + | 1.25308i | −0.270680 | + | 0.0879492i | ||||
\(204\) | −0.114934 | − | 0.353731i | −0.00804699 | − | 0.0247661i | ||||
\(205\) | 8.21591 | + | 10.8731i | 0.573824 | + | 0.759410i | ||||
\(206\) | −5.78877 | + | 17.8160i | −0.403323 | + | 1.24130i | ||||
\(207\) | − | 2.60060i | − | 0.180754i | ||||||
\(208\) | 2.58559 | + | 0.840109i | 0.179278 | + | 0.0582511i | ||||
\(209\) | −3.50004 | + | 2.54293i | −0.242103 | + | 0.175898i | ||||
\(210\) | 0.133774 | − | 0.439622i | 0.00923127 | − | 0.0303368i | ||||
\(211\) | −7.03318 | − | 5.10990i | −0.484184 | − | 0.351780i | 0.318759 | − | 0.947836i | \(-0.396734\pi\) |
−0.802943 | + | 0.596056i | \(0.796734\pi\) | |||||||
\(212\) | −6.02319 | − | 8.29021i | −0.413674 | − | 0.569374i | ||||
\(213\) | −0.128955 | − | 0.177491i | −0.00883582 | − | 0.0121615i | ||||
\(214\) | 12.5111 | + | 9.08982i | 0.855239 | + | 0.621368i | ||||
\(215\) | 1.76535 | − | 0.0331370i | 0.120396 | − | 0.00225993i | ||||
\(216\) | −0.990524 | + | 0.719658i | −0.0673966 | + | 0.0489665i | ||||
\(217\) | −4.19959 | − | 1.36453i | −0.285086 | − | 0.0926302i | ||||
\(218\) | − | 7.11716i | − | 0.482035i | ||||||
\(219\) | 0.470356 | − | 1.44761i | 0.0317837 | − | 0.0978203i | ||||
\(220\) | 1.27821 | + | 0.388950i | 0.0861769 | + | 0.0262230i | ||||
\(221\) | −1.52047 | − | 4.67953i | −0.102278 | − | 0.314779i | ||||
\(222\) | 0.757485 | − | 0.246122i | 0.0508391 | − | 0.0165186i | ||||
\(223\) | −12.5177 | + | 17.2291i | −0.838247 | + | 1.15375i | 0.148084 | + | 0.988975i | \(0.452689\pi\) |
−0.986331 | + | 0.164773i | \(0.947311\pi\) | |||||||
\(224\) | 1.00000 | 0.0668153 | ||||||||
\(225\) | 11.6298 | − | 9.13554i | 0.775318 | − | 0.609036i | ||||
\(226\) | −9.72098 | −0.646630 | ||||||||
\(227\) | −15.7747 | + | 21.7121i | −1.04701 | + | 1.44108i | −0.155630 | + | 0.987815i | \(0.549741\pi\) |
−0.891376 | + | 0.453264i | \(0.850259\pi\) | |||||||
\(228\) | 1.41514 | − | 0.459806i | 0.0937197 | − | 0.0304514i | ||||
\(229\) | 6.51678 | + | 20.0566i | 0.430641 | + | 1.32538i | 0.897488 | + | 0.441038i | \(0.145390\pi\) |
−0.466848 | + | 0.884338i | \(0.654610\pi\) | |||||||
\(230\) | 1.85809 | − | 0.642527i | 0.122519 | − | 0.0423670i | ||||
\(231\) | −0.0379448 | + | 0.116782i | −0.00249659 | + | 0.00768370i | ||||
\(232\) | 4.05506i | 0.266228i | ||||||||
\(233\) | 7.55691 | + | 2.45539i | 0.495069 | + | 0.160858i | 0.545901 | − | 0.837849i | \(-0.316187\pi\) |
−0.0508320 | + | 0.998707i | \(0.516187\pi\) | |||||||
\(234\) | −6.50542 | + | 4.72646i | −0.425272 | + | 0.308978i | ||||
\(235\) | 0.330813 | + | 0.956662i | 0.0215799 | + | 0.0624057i | ||||
\(236\) | −1.21560 | − | 0.883186i | −0.0791289 | − | 0.0574905i | ||||
\(237\) | 0.518131 | + | 0.713146i | 0.0336562 | + | 0.0463238i | ||||
\(238\) | −1.06380 | − | 1.46420i | −0.0689561 | − | 0.0949099i | ||||
\(239\) | −14.5058 | − | 10.5391i | −0.938303 | − | 0.681717i | 0.00970836 | − | 0.999953i | \(-0.496910\pi\) |
−0.948012 | + | 0.318236i | \(0.896910\pi\) | |||||||
\(240\) | −0.376767 | − | 0.263077i | −0.0243202 | − | 0.0169816i | ||||
\(241\) | 15.7279 | − | 11.4270i | 1.01312 | − | 0.736076i | 0.0482605 | − | 0.998835i | \(-0.484632\pi\) |
0.964862 | + | 0.262758i | \(0.0846322\pi\) | |||||||
\(242\) | 10.1221 | + | 3.28886i | 0.650672 | + | 0.211416i | ||||
\(243\) | − | 5.44487i | − | 0.349289i | ||||||
\(244\) | 3.57427 | − | 11.0005i | 0.228819 | − | 0.704233i | ||||
\(245\) | −0.0419655 | − | 2.23567i | −0.00268108 | − | 0.142832i | ||||
\(246\) | 0.387041 | + | 1.19119i | 0.0246768 | + | 0.0759474i | ||||
\(247\) | 18.7210 | − | 6.08281i | 1.19119 | − | 0.387040i | ||||
\(248\) | −2.59549 | + | 3.57238i | −0.164814 | + | 0.226846i | ||||
\(249\) | 0.175455 | 0.0111190 | ||||||||
\(250\) | 9.40058 | + | 6.05220i | 0.594545 | + | 0.382775i | ||||
\(251\) | 1.64512 | 0.103839 | 0.0519195 | − | 0.998651i | \(-0.483466\pi\) | ||||
0.0519195 | + | 0.998651i | \(0.483466\pi\) | |||||||
\(252\) | −1.73853 | + | 2.39288i | −0.109517 | + | 0.150738i | ||||
\(253\) | −0.499646 | + | 0.162345i | −0.0314124 | + | 0.0102065i | ||||
\(254\) | −6.76893 | − | 20.8326i | −0.424721 | − | 1.30716i | ||||
\(255\) | 0.0156084 | + | 0.831524i | 0.000977436 | + | 0.0520720i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | − | 23.4942i | − | 1.46553i | −0.680482 | − | 0.732765i | \(-0.738230\pi\) | ||
0.680482 | − | 0.732765i | \(-0.261770\pi\) | |||||||
\(258\) | 0.154330 | + | 0.0501450i | 0.00960819 | + | 0.00312189i | ||||
\(259\) | 3.13546 | − | 2.27805i | 0.194828 | − | 0.141551i | ||||
\(260\) | −4.98428 | − | 3.48027i | −0.309112 | − | 0.215837i | ||||
\(261\) | −9.70329 | − | 7.04986i | −0.600619 | − | 0.436375i | ||||
\(262\) | −1.06960 | − | 1.47218i | −0.0660803 | − | 0.0909517i | ||||
\(263\) | 15.6267 | + | 21.5083i | 0.963582 | + | 1.32626i | 0.945223 | + | 0.326425i | \(0.105844\pi\) |
0.0183590 | + | 0.999831i | \(0.494156\pi\) | |||||||
\(264\) | 0.0993408 | + | 0.0721753i | 0.00611401 | + | 0.00444209i | ||||
\(265\) | 7.48842 | + | 21.6554i | 0.460010 | + | 1.33028i | ||||
\(266\) | 5.85769 | − | 4.25586i | 0.359158 | − | 0.260943i | ||||
\(267\) | 2.33839 | + | 0.759787i | 0.143107 | + | 0.0464982i | ||||
\(268\) | 3.85418i | 0.235432i | ||||||||
\(269\) | 5.31572 | − | 16.3601i | 0.324105 | − | 0.997493i | −0.647738 | − | 0.761863i | \(-0.724285\pi\) |
0.971843 | − | 0.235630i | \(-0.0757153\pi\) | |||||||
\(270\) | 2.58741 | − | 0.894725i | 0.157465 | − | 0.0544512i | ||||
\(271\) | −9.68797 | − | 29.8165i | −0.588502 | − | 1.81122i | −0.584725 | − | 0.811231i | \(-0.698798\pi\) |
−0.00377722 | − | 0.999993i | \(-0.501202\pi\) | |||||||
\(272\) | −1.72127 | + | 0.559274i | −0.104367 | + | 0.0339110i | ||||
\(273\) | 0.328394 | − | 0.451996i | 0.0198753 | − | 0.0273560i | ||||
\(274\) | 18.2730 | 1.10391 | ||||||||
\(275\) | −2.48119 | − | 1.66410i | −0.149621 | − | 0.100349i | ||||
\(276\) | 0.180689 | 0.0108762 | ||||||||
\(277\) | 5.27274 | − | 7.25730i | 0.316808 | − | 0.436049i | −0.620681 | − | 0.784063i | \(-0.713144\pi\) |
0.937489 | + | 0.348014i | \(0.113144\pi\) | |||||||
\(278\) | 0.507430 | − | 0.164874i | 0.0304336 | − | 0.00988849i | ||||
\(279\) | −4.03596 | − | 12.4214i | −0.241626 | − | 0.743650i | ||||
\(280\) | −2.13922 | − | 0.650950i | −0.127843 | − | 0.0389017i | ||||
\(281\) | 0.668526 | − | 2.05751i | 0.0398809 | − | 0.122741i | −0.929134 | − | 0.369743i | \(-0.879446\pi\) |
0.969015 | + | 0.247003i | \(0.0794456\pi\) | |||||||
\(282\) | 0.0930302i | 0.00553987i | ||||||||
\(283\) | 7.11838 | + | 2.31290i | 0.423144 | + | 0.137488i | 0.512846 | − | 0.858481i | \(-0.328591\pi\) |
−0.0897017 | + | 0.995969i | \(0.528591\pi\) | |||||||
\(284\) | −0.863679 | + | 0.627499i | −0.0512499 | + | 0.0372352i | ||||
\(285\) | −3.32660 | + | 0.0624431i | −0.197051 | + | 0.00369881i | ||||
\(286\) | 1.31419 | + | 0.954814i | 0.0777096 | + | 0.0564593i | ||||
\(287\) | 3.58236 | + | 4.93070i | 0.211460 | + | 0.291050i | ||||
\(288\) | 1.73853 | + | 2.39288i | 0.102444 | + | 0.141002i | ||||
\(289\) | −11.1033 | − | 8.06703i | −0.653136 | − | 0.474531i | ||||
\(290\) | 2.63964 | − | 8.67467i | 0.155005 | − | 0.509394i | ||||
\(291\) | 0.572162 | − | 0.415700i | 0.0335407 | − | 0.0243687i | ||||
\(292\) | −7.04413 | − | 2.28878i | −0.412226 | − | 0.133941i | ||||
\(293\) | 8.18246i | 0.478025i | 0.971017 | + | 0.239012i | \(0.0768236\pi\) | ||||
−0.971017 | + | 0.239012i | \(0.923176\pi\) | |||||||
\(294\) | 0.0635047 | − | 0.195447i | 0.00370367 | − | 0.0113987i | ||||
\(295\) | 2.02553 | + | 2.68063i | 0.117931 | + | 0.156072i | ||||
\(296\) | −1.19764 | − | 3.68596i | −0.0696115 | − | 0.214242i | ||||
\(297\) | −0.695761 | + | 0.226066i | −0.0403721 | + | 0.0131177i | ||||
\(298\) | 3.86493 | − | 5.31962i | 0.223889 | − | 0.308157i | ||||
\(299\) | 2.39036 | 0.138238 | ||||||||
\(300\) | 0.634737 | + | 0.808036i | 0.0366466 | + | 0.0466520i | ||||
\(301\) | 0.789626 | 0.0455133 | ||||||||
\(302\) | 12.8151 | − | 17.6384i | 0.737424 | − | 1.01498i | ||||
\(303\) | 2.71667 | − | 0.882701i | 0.156069 | − | 0.0507098i | ||||
\(304\) | −2.23744 | − | 6.88612i | −0.128326 | − | 0.394946i | ||||
\(305\) | −14.8069 | + | 21.2057i | −0.847840 | + | 1.21424i | ||||
\(306\) | 1.65420 | − | 5.09112i | 0.0945645 | − | 0.291040i | ||||
\(307\) | 10.8094i | 0.616925i | 0.951237 | + | 0.308462i | \(0.0998144\pi\) | ||||
−0.951237 | + | 0.308462i | \(0.900186\pi\) | |||||||
\(308\) | 0.568268 | + | 0.184641i | 0.0323800 | + | 0.0105209i | ||||
\(309\) | 3.11448 | − | 2.26280i | 0.177176 | − | 0.128726i | ||||
\(310\) | 7.87776 | − | 5.95258i | 0.447427 | − | 0.338084i | ||||
\(311\) | 18.9746 | + | 13.7858i | 1.07595 | + | 0.781722i | 0.976972 | − | 0.213368i | \(-0.0684432\pi\) |
0.0989763 | + | 0.995090i | \(0.468443\pi\) | |||||||
\(312\) | −0.328394 | − | 0.451996i | −0.0185917 | − | 0.0255892i | ||||
\(313\) | −3.91222 | − | 5.38470i | −0.221132 | − | 0.304361i | 0.684009 | − | 0.729473i | \(-0.260235\pi\) |
−0.905141 | + | 0.425112i | \(0.860235\pi\) | |||||||
\(314\) | −4.44304 | − | 3.22806i | −0.250735 | − | 0.182170i | ||||
\(315\) | 5.27675 | − | 3.98721i | 0.297311 | − | 0.224654i | ||||
\(316\) | 3.47020 | − | 2.52125i | 0.195214 | − | 0.141831i | ||||
\(317\) | 25.5430 | + | 8.29941i | 1.43464 | + | 0.466141i | 0.920221 | − | 0.391400i | \(-0.128009\pi\) |
0.514415 | + | 0.857541i | \(0.328009\pi\) | |||||||
\(318\) | 2.10587i | 0.118091i | ||||||||
\(319\) | −0.748732 | + | 2.30436i | −0.0419209 | + | 0.129019i | ||||
\(320\) | −1.28015 | + | 1.83337i | −0.0715623 | + | 0.102488i | ||||
\(321\) | −0.982071 | − | 3.02250i | −0.0548138 | − | 0.168700i | ||||
\(322\) | 0.836210 | − | 0.271701i | 0.0466002 | − | 0.0151413i | ||||
\(323\) | −7.70246 | + | 10.6015i | −0.428577 | + | 0.589885i | ||||
\(324\) | −8.62169 | −0.478983 | ||||||||
\(325\) | 8.39699 | + | 10.6896i | 0.465781 | + | 0.592951i | ||||
\(326\) | −6.95670 | −0.385296 | ||||||||
\(327\) | −0.859704 | + | 1.18328i | −0.0475417 | + | 0.0654356i | ||||
\(328\) | 5.79638 | − | 1.88336i | 0.320052 | − | 0.103991i | ||||
\(329\) | 0.139889 | + | 0.430533i | 0.00771232 | + | 0.0237361i | ||||
\(330\) | −0.165529 | − | 0.219065i | −0.00911210 | − | 0.0120591i | ||||
\(331\) | −10.4285 | + | 32.0956i | −0.573202 | + | 1.76413i | 0.0690191 | + | 0.997615i | \(0.478013\pi\) |
−0.642221 | + | 0.766519i | \(0.721987\pi\) | |||||||
\(332\) | − | 0.853773i | − | 0.0468569i | ||||||
\(333\) | 10.9022 | + | 3.54234i | 0.597437 | + | 0.194119i | ||||
\(334\) | −2.58556 | + | 1.87852i | −0.141475 | + | 0.102788i | ||||
\(335\) | 2.50888 | − | 8.24495i | 0.137075 | − | 0.450470i | ||||
\(336\) | −0.166258 | − | 0.120793i | −0.00907009 | − | 0.00658981i | ||||
\(337\) | −10.9512 | − | 15.0730i | −0.596547 | − | 0.821077i | 0.398839 | − | 0.917021i | \(-0.369413\pi\) |
−0.995387 | + | 0.0959438i | \(0.969413\pi\) | |||||||
\(338\) | 3.29685 | + | 4.53773i | 0.179325 | + | 0.246820i | ||||
\(339\) | 1.61619 | + | 1.17423i | 0.0877792 | + | 0.0637753i | ||||
\(340\) | 4.04623 | − | 0.0759513i | 0.219438 | − | 0.00411904i | ||||
\(341\) | −2.13454 | + | 1.55083i | −0.115592 | + | 0.0839824i | ||||
\(342\) | 20.3675 | + | 6.61782i | 1.10135 | + | 0.357851i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 0.244008 | − | 0.750979i | 0.0131560 | − | 0.0404901i | ||||
\(345\) | −0.386535 | − | 0.117620i | −0.0208103 | − | 0.00633244i | ||||
\(346\) | −3.04386 | − | 9.36802i | −0.163639 | − | 0.503628i | ||||
\(347\) | 18.4628 | − | 5.99892i | 0.991134 | − | 0.322039i | 0.231817 | − | 0.972759i | \(-0.425533\pi\) |
0.759317 | + | 0.650721i | \(0.225533\pi\) | |||||||
\(348\) | 0.489824 | − | 0.674185i | 0.0262573 | − | 0.0361401i | ||||
\(349\) | −22.2937 | −1.19336 | −0.596678 | − | 0.802481i | \(-0.703513\pi\) | ||||
−0.596678 | + | 0.802481i | \(0.703513\pi\) | |||||||
\(350\) | 4.15253 | + | 2.78505i | 0.221962 | + | 0.148867i | ||||
\(351\) | 3.32859 | 0.177667 | ||||||||
\(352\) | 0.351209 | − | 0.483397i | 0.0187195 | − | 0.0257652i | ||||
\(353\) | −24.3446 | + | 7.91003i | −1.29573 | + | 0.421008i | −0.874094 | − | 0.485756i | \(-0.838544\pi\) |
−0.421637 | + | 0.906765i | \(0.638544\pi\) | |||||||
\(354\) | 0.0954201 | + | 0.293673i | 0.00507152 | + | 0.0156085i | ||||
\(355\) | 2.25607 | − | 0.780148i | 0.119740 | − | 0.0414059i | ||||
\(356\) | 3.69716 | − | 11.3787i | 0.195949 | − | 0.603070i | ||||
\(357\) | 0.371934i | 0.0196849i | ||||||||
\(358\) | −21.0222 | − | 6.83054i | −1.11106 | − | 0.361005i | ||||
\(359\) | 22.0744 | − | 16.0380i | 1.16504 | − | 0.846452i | 0.174634 | − | 0.984633i | \(-0.444126\pi\) |
0.990407 | + | 0.138182i | \(0.0441258\pi\) | |||||||
\(360\) | −2.16146 | − | 6.25060i | −0.113919 | − | 0.329436i | ||||
\(361\) | −27.0412 | − | 19.6466i | −1.42322 | − | 1.03403i | ||||
\(362\) | −12.4830 | − | 17.1814i | −0.656094 | − | 0.903036i | ||||
\(363\) | −1.28560 | − | 1.76948i | −0.0674765 | − | 0.0928734i | ||||
\(364\) | −2.19943 | − | 1.59798i | −0.115282 | − | 0.0837570i | ||||
\(365\) | 13.5791 | + | 9.48157i | 0.710761 | + | 0.496288i | ||||
\(366\) | −1.92303 | + | 1.39716i | −0.100518 | + | 0.0730309i | ||||
\(367\) | 21.9376 | + | 7.12795i | 1.14513 | + | 0.372076i | 0.819307 | − | 0.573355i | \(-0.194358\pi\) |
0.325824 | + | 0.945430i | \(0.394358\pi\) | |||||||
\(368\) | − | 0.879244i | − | 0.0458337i | ||||||
\(369\) | −5.57054 | + | 17.1444i | −0.289991 | + | 0.892499i | ||||
\(370\) | 0.162643 | + | 8.66468i | 0.00845543 | + | 0.450455i | ||||
\(371\) | 3.16658 | + | 9.74573i | 0.164401 | + | 0.505973i | ||||
\(372\) | 0.863038 | − | 0.280418i | 0.0447465 | − | 0.0145390i | ||||
\(373\) | 9.99802 | − | 13.7611i | 0.517678 | − | 0.712522i | −0.467513 | − | 0.883986i | \(-0.654850\pi\) |
0.985190 | + | 0.171464i | \(0.0548498\pi\) | |||||||
\(374\) | −1.08141 | −0.0559182 | ||||||||
\(375\) | −0.831852 | − | 2.14175i | −0.0429567 | − | 0.110599i | ||||
\(376\) | 0.452690 | 0.0233457 | ||||||||
\(377\) | 6.47992 | − | 8.91884i | 0.333733 | − | 0.459344i | ||||
\(378\) | 1.16443 | − | 0.378346i | 0.0598918 | − | 0.0194600i | ||||
\(379\) | −10.7117 | − | 32.9671i | −0.550221 | − | 1.69341i | −0.708242 | − | 0.705970i | \(-0.750512\pi\) |
0.158022 | − | 0.987436i | \(-0.449488\pi\) | |||||||
\(380\) | 0.303851 | + | 16.1874i | 0.0155872 | + | 0.830396i | ||||
\(381\) | −1.39105 | + | 4.28122i | −0.0712659 | + | 0.219334i | ||||
\(382\) | − | 9.49356i | − | 0.485733i | ||||||
\(383\) | −14.5295 | − | 4.72092i | −0.742422 | − | 0.241228i | −0.0867049 | − | 0.996234i | \(-0.527634\pi\) |
−0.655717 | + | 0.755006i | \(0.727634\pi\) | |||||||
\(384\) | −0.166258 | + | 0.120793i | −0.00848429 | + | 0.00616420i | ||||
\(385\) | −1.09546 | − | 0.764902i | −0.0558297 | − | 0.0389830i | ||||
\(386\) | 10.7250 | + | 7.79215i | 0.545887 | + | 0.396610i | ||||
\(387\) | 1.37279 | + | 1.88948i | 0.0697828 | + | 0.0960478i | ||||
\(388\) | −2.02281 | − | 2.78417i | −0.102693 | − | 0.141345i | ||||
\(389\) | 19.5191 | + | 14.1815i | 0.989658 | + | 0.719029i | 0.959846 | − | 0.280527i | \(-0.0905091\pi\) |
0.0298121 | + | 0.999556i | \(0.490509\pi\) | |||||||
\(390\) | 0.408281 | + | 1.18069i | 0.0206741 | + | 0.0597864i | ||||
\(391\) | −1.28739 | + | 0.935342i | −0.0651060 | + | 0.0473023i | ||||
\(392\) | −0.951057 | − | 0.309017i | −0.0480356 | − | 0.0156077i | ||||
\(393\) | 0.373962i | 0.0188639i | ||||||||
\(394\) | −4.11680 | + | 12.6702i | −0.207401 | + | 0.638315i | ||||
\(395\) | −9.06474 | + | 3.13458i | −0.456097 | + | 0.157718i | ||||
\(396\) | 0.546126 | + | 1.68080i | 0.0274439 | + | 0.0844635i | ||||
\(397\) | 16.0557 | − | 5.21680i | 0.805811 | − | 0.261824i | 0.122988 | − | 0.992408i | \(-0.460752\pi\) |
0.682823 | + | 0.730584i | \(0.260752\pi\) | |||||||
\(398\) | −5.88078 | + | 8.09420i | −0.294777 | + | 0.405726i | ||||
\(399\) | −1.48796 | −0.0744913 | ||||||||
\(400\) | 3.93194 | − | 3.08866i | 0.196597 | − | 0.154433i | ||||
\(401\) | −16.1334 | −0.805665 | −0.402832 | − | 0.915274i | \(-0.631974\pi\) | ||||
−0.402832 | + | 0.915274i | \(0.631974\pi\) | |||||||
\(402\) | 0.465559 | − | 0.640787i | 0.0232200 | − | 0.0319595i | ||||
\(403\) | 11.4172 | − | 3.70968i | 0.568732 | − | 0.184792i | ||||
\(404\) | −4.29526 | − | 13.2195i | −0.213697 | − | 0.657693i | ||||
\(405\) | 18.4437 | + | 5.61229i | 0.916475 | + | 0.278877i | ||||
\(406\) | 1.25308 | − | 3.85659i | 0.0621895 | − | 0.191400i | ||||
\(407\) | − | 2.31575i | − | 0.114787i | ||||||
\(408\) | 0.353731 | + | 0.114934i | 0.0175123 | + | 0.00569008i | ||||
\(409\) | −3.24392 | + | 2.35685i | −0.160402 | + | 0.116539i | −0.665091 | − | 0.746763i | \(-0.731607\pi\) |
0.504689 | + | 0.863301i | \(0.331607\pi\) | |||||||
\(410\) | −13.6257 | + | 0.255766i | −0.672926 | + | 0.0126314i | ||||
\(411\) | −3.03802 | − | 2.20725i | −0.149854 | − | 0.108876i | ||||
\(412\) | −11.0109 | − | 15.1552i | −0.542468 | − | 0.746643i | ||||
\(413\) | 0.883186 | + | 1.21560i | 0.0434588 | + | 0.0598159i | ||||
\(414\) | 2.10393 | + | 1.52859i | 0.103402 | + | 0.0751263i | ||||
\(415\) | −0.555763 | + | 1.82641i | −0.0272813 | + | 0.0896549i | ||||
\(416\) | −2.19943 | + | 1.59798i | −0.107836 | + | 0.0783475i | ||||
\(417\) | −0.104280 | − | 0.0338825i | −0.00510660 | − | 0.00165924i | ||||
\(418\) | − | 4.32628i | − | 0.211605i | ||||||
\(419\) | 9.44691 | − | 29.0746i | 0.461512 | − | 1.42039i | −0.401805 | − | 0.915725i | \(-0.631617\pi\) |
0.863317 | − | 0.504662i | \(-0.168383\pi\) | |||||||
\(420\) | 0.277031 | + | 0.366629i | 0.0135177 | + | 0.0178896i | ||||
\(421\) | 3.63978 | + | 11.2021i | 0.177392 | + | 0.545957i | 0.999735 | − | 0.0230361i | \(-0.00733325\pi\) |
−0.822343 | + | 0.568993i | \(0.807333\pi\) | |||||||
\(422\) | 8.26799 | − | 2.68643i | 0.402480 | − | 0.130774i | ||||
\(423\) | −0.787015 | + | 1.08323i | −0.0382660 | + | 0.0526686i | ||||
\(424\) | 10.2473 | 0.497651 | ||||||||
\(425\) | −8.70523 | − | 2.47142i | −0.422266 | − | 0.119881i | ||||
\(426\) | 0.219391 | 0.0106295 | ||||||||
\(427\) | −6.79866 | + | 9.35755i | −0.329010 | + | 0.452844i | ||||
\(428\) | −14.7076 | + | 4.77880i | −0.710921 | + | 0.230992i | ||||
\(429\) | −0.103159 | − | 0.317490i | −0.00498055 | − | 0.0153286i | ||||
\(430\) | −1.01084 | + | 1.44767i | −0.0487468 | + | 0.0698129i | ||||
\(431\) | −2.65854 | + | 8.18215i | −0.128057 | + | 0.394120i | −0.994446 | − | 0.105251i | \(-0.966436\pi\) |
0.866388 | + | 0.499371i | \(0.166436\pi\) | |||||||
\(432\) | − | 1.22435i | − | 0.0589068i | ||||||
\(433\) | −28.7516 | − | 9.34196i | −1.38171 | − | 0.448946i | −0.478481 | − | 0.878098i | \(-0.658813\pi\) |
−0.903232 | + | 0.429152i | \(0.858813\pi\) | |||||||
\(434\) | 3.57238 | − | 2.59549i | 0.171480 | − | 0.124587i | ||||
\(435\) | −1.48670 | + | 1.12338i | −0.0712819 | + | 0.0538619i | ||||
\(436\) | 5.75790 | + | 4.18336i | 0.275753 | + | 0.200347i | ||||
\(437\) | −3.74194 | − | 5.15033i | −0.179001 | − | 0.246374i | ||||
\(438\) | 0.894671 | + | 1.23141i | 0.0427490 | + | 0.0588390i | ||||
\(439\) | −6.96389 | − | 5.05957i | −0.332369 | − | 0.241480i | 0.409066 | − | 0.912505i | \(-0.365854\pi\) |
−0.741435 | + | 0.671025i | \(0.765854\pi\) | |||||||
\(440\) | −1.06598 | + | 0.805474i | −0.0508186 | + | 0.0383995i | ||||
\(441\) | 2.39288 | − | 1.73853i | 0.113947 | − | 0.0827872i | ||||
\(442\) | 4.67953 | + | 1.52047i | 0.222583 | + | 0.0723215i | ||||
\(443\) | 39.6209i | 1.88245i | 0.337786 | + | 0.941223i | \(0.390322\pi\) | ||||
−0.337786 | + | 0.941223i | \(0.609678\pi\) | |||||||
\(444\) | −0.246122 | + | 0.757485i | −0.0116804 | + | 0.0359487i | ||||
\(445\) | −15.3160 | + | 21.9349i | −0.726048 | + | 1.03981i | ||||
\(446\) | −6.58094 | − | 20.2541i | −0.311617 | − | 0.959058i | ||||
\(447\) | −1.28515 | + | 0.417570i | −0.0607854 | + | 0.0197504i | ||||
\(448\) | −0.587785 | + | 0.809017i | −0.0277702 | + | 0.0382225i | ||||
\(449\) | −33.7067 | −1.59072 | −0.795360 | − | 0.606138i | \(-0.792718\pi\) | ||||
−0.795360 | + | 0.606138i | \(0.792718\pi\) | |||||||
\(450\) | 0.555002 | + | 14.7784i | 0.0261631 | + | 0.696661i | ||||
\(451\) | 3.64164 | 0.171478 | ||||||||
\(452\) | 5.71385 | − | 7.86444i | 0.268757 | − | 0.369912i | ||||
\(453\) | −4.26120 | + | 1.38455i | −0.200209 | + | 0.0650517i | ||||
\(454\) | −8.29327 | − | 25.5241i | −0.389222 | − | 1.19790i | ||||
\(455\) | 3.66487 | + | 4.85016i | 0.171812 | + | 0.227379i | ||||
\(456\) | −0.459806 | + | 1.41514i | −0.0215324 | + | 0.0662698i | ||||
\(457\) | − | 30.2989i | − | 1.41732i | −0.705548 | − | 0.708662i | \(-0.749299\pi\) | ||
0.705548 | − | 0.708662i | \(-0.250701\pi\) | |||||||
\(458\) | −20.0566 | − | 6.51678i | −0.937182 | − | 0.304509i | ||||
\(459\) | −1.79270 | + | 1.30247i | −0.0836760 | + | 0.0607942i | ||||
\(460\) | −0.572343 | + | 1.88090i | −0.0266856 | + | 0.0876972i | ||||
\(461\) | 23.7399 | + | 17.2481i | 1.10568 | + | 0.803322i | 0.981978 | − | 0.188998i | \(-0.0605239\pi\) |
0.123700 | + | 0.992320i | \(0.460524\pi\) | |||||||
\(462\) | −0.0721753 | − | 0.0993408i | −0.00335790 | − | 0.00462175i | ||||
\(463\) | 1.96033 | + | 2.69816i | 0.0911043 | + | 0.125394i | 0.852136 | − | 0.523320i | \(-0.175307\pi\) |
−0.761032 | + | 0.648715i | \(0.775307\pi\) | |||||||
\(464\) | −3.28061 | − | 2.38351i | −0.152299 | − | 0.110651i | ||||
\(465\) | −2.02877 | + | 0.0380817i | −0.0940819 | + | 0.00176600i | ||||
\(466\) | −6.42829 | + | 4.67043i | −0.297785 | + | 0.216353i | ||||
\(467\) | 2.83618 | + | 0.921529i | 0.131243 | + | 0.0426433i | 0.373902 | − | 0.927468i | \(-0.378020\pi\) |
−0.242659 | + | 0.970112i | \(0.578020\pi\) | |||||||
\(468\) | − | 8.04114i | − | 0.371702i | ||||||
\(469\) | 1.19101 | − | 3.66555i | 0.0549956 | − | 0.169259i | ||||
\(470\) | −0.968403 | − | 0.294678i | −0.0446691 | − | 0.0135925i | ||||
\(471\) | 0.348762 | + | 1.07338i | 0.0160701 | + | 0.0494586i | ||||
\(472\) | 1.42903 | − | 0.464319i | 0.0657762 | − | 0.0213720i | ||||
\(473\) | 0.277323 | − | 0.381703i | 0.0127513 | − | 0.0175507i | ||||
\(474\) | −0.881497 | −0.0404885 | ||||||||
\(475\) | 9.88718 | − | 34.8262i | 0.453655 | − | 1.59794i | ||||
\(476\) | 1.80985 | 0.0829543 | ||||||||
\(477\) | −17.8152 | + | 24.5205i | −0.815702 | + | 1.12272i | ||||
\(478\) | 17.0526 | − | 5.54073i | 0.779968 | − | 0.253427i | ||||
\(479\) | 0.952326 | + | 2.93096i | 0.0435129 | + | 0.133919i | 0.970453 | − | 0.241291i | \(-0.0775707\pi\) |
−0.926940 | + | 0.375210i | \(0.877571\pi\) | |||||||
\(480\) | 0.434292 | − | 0.150178i | 0.0198226 | − | 0.00685465i | ||||
\(481\) | −3.25597 | + | 10.0208i | −0.148459 | + | 0.456911i | ||||
\(482\) | 19.4407i | 0.885501i | ||||||||
\(483\) | −0.171846 | − | 0.0558361i | −0.00781926 | − | 0.00254063i | ||||
\(484\) | −8.61035 | + | 6.25579i | −0.391380 | + | 0.284354i | ||||
\(485\) | 2.51489 | + | 7.27269i | 0.114195 | + | 0.330236i | ||||
\(486\) | 4.40499 | + | 3.20041i | 0.199814 | + | 0.145174i | ||||
\(487\) | −5.20244 | − | 7.16055i | −0.235745 | − | 0.324475i | 0.674710 | − | 0.738083i | \(-0.264269\pi\) |
−0.910455 | + | 0.413607i | \(0.864269\pi\) | |||||||
\(488\) | 6.79866 | + | 9.35755i | 0.307761 | + | 0.423597i | ||||
\(489\) | 1.15660 | + | 0.840322i | 0.0523034 | + | 0.0380007i | ||||
\(490\) | 1.83337 | + | 1.28015i | 0.0828230 | + | 0.0578311i | ||||
\(491\) | 3.53757 | − | 2.57019i | 0.159648 | − | 0.115991i | −0.505093 | − | 0.863065i | \(-0.668542\pi\) |
0.664741 | + | 0.747074i | \(0.268542\pi\) | |||||||
\(492\) | −1.19119 | − | 0.387041i | −0.0537030 | − | 0.0174491i | ||||
\(493\) | 7.33905i | 0.330534i | ||||||||
\(494\) | −6.08281 | + | 18.7210i | −0.273679 | + | 0.842296i | ||||
\(495\) | −0.0741657 | − | 3.95111i | −0.00333350 | − | 0.177589i | ||||
\(496\) | −1.36453 | − | 4.19959i | −0.0612691 | − | 0.188567i | ||||
\(497\) | 1.01532 | − | 0.329896i | 0.0455431 | − | 0.0147979i | ||||
\(498\) | −0.103130 | + | 0.141946i | −0.00462136 | + | 0.00636076i | ||||
\(499\) | 10.6594 | 0.477182 | 0.238591 | − | 0.971120i | \(-0.423315\pi\) | ||||
0.238591 | + | 0.971120i | \(0.423315\pi\) | |||||||
\(500\) | −10.4219 | + | 4.04783i | −0.466080 | + | 0.181025i | ||||
\(501\) | 0.656781 | 0.0293428 | ||||||||
\(502\) | −0.966976 | + | 1.33093i | −0.0431583 | + | 0.0594022i | ||||
\(503\) | −15.8259 | + | 5.14215i | −0.705643 | + | 0.229277i | −0.639787 | − | 0.768552i | \(-0.720978\pi\) |
−0.0658553 | + | 0.997829i | \(0.520978\pi\) | |||||||
\(504\) | −0.914000 | − | 2.81300i | −0.0407128 | − | 0.125301i | ||||
\(505\) | 0.583311 | + | 31.0754i | 0.0259570 | + | 1.38284i | ||||
\(506\) | 0.162345 | − | 0.499646i | 0.00721710 | − | 0.0222120i | ||||
\(507\) | − | 1.15267i | − | 0.0511918i | ||||||
\(508\) | 20.8326 | + | 6.76893i | 0.924299 | + | 0.300323i | ||||
\(509\) | 23.0243 | − | 16.7281i | 1.02053 | − | 0.741462i | 0.0541422 | − | 0.998533i | \(-0.482758\pi\) |
0.966392 | + | 0.257071i | \(0.0827576\pi\) | |||||||
\(510\) | −0.681891 | − | 0.476130i | −0.0301947 | − | 0.0210834i | ||||
\(511\) | 5.99209 | + | 4.35351i | 0.265075 | + | 0.192588i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | −5.21068 | − | 7.17188i | −0.230057 | − | 0.316646i | ||||
\(514\) | 19.0072 | + | 13.8096i | 0.838373 | + | 0.609114i | ||||
\(515\) | 13.6895 | + | 39.5878i | 0.603230 | + | 1.74445i | ||||
\(516\) | −0.131281 | + | 0.0953814i | −0.00577933 | + | 0.00419893i | ||||
\(517\) | 0.257249 | + | 0.0835852i | 0.0113138 | + | 0.00367607i | ||||
\(518\) | 3.87565i | 0.170286i | ||||||||
\(519\) | −0.625529 | + | 1.92518i | −0.0274577 | + | 0.0845061i | ||||
\(520\) | 5.74528 | − | 1.98672i | 0.251947 | − | 0.0871233i | ||||
\(521\) | 3.68129 | + | 11.3298i | 0.161280 | + | 0.496369i | 0.998743 | − | 0.0501250i | \(-0.0159620\pi\) |
−0.837463 | + | 0.546494i | \(0.815962\pi\) | |||||||
\(522\) | 11.4069 | − | 3.70633i | 0.499267 | − | 0.162222i | ||||
\(523\) | 16.1834 | − | 22.2745i | 0.707649 | − | 0.973995i | −0.292196 | − | 0.956359i | \(-0.594386\pi\) |
0.999844 | − | 0.0176365i | \(-0.00561416\pi\) | |||||||
\(524\) | 1.81972 | 0.0794947 | ||||||||
\(525\) | −0.353974 | − | 0.964633i | −0.0154487 | − | 0.0421000i | ||||
\(526\) | −26.5857 | −1.15919 | ||||||||
\(527\) | −4.69744 | + | 6.46547i | −0.204624 | + | 0.281640i | ||||
\(528\) | −0.116782 | + | 0.0379448i | −0.00508229 | + | 0.00165134i | ||||
\(529\) | 6.86850 | + | 21.1391i | 0.298630 | + | 0.919090i | ||||
\(530\) | −21.9212 | − | 6.67045i | −0.952194 | − | 0.289746i | ||||
\(531\) | −1.37335 | + | 4.22673i | −0.0595982 | + | 0.183424i | ||||
\(532\) | 7.24050i | 0.313915i | ||||||||
\(533\) | −15.7583 | − | 5.12019i | −0.682569 | − | 0.221780i | ||||
\(534\) | −1.98915 | + | 1.44520i | −0.0860789 | + | 0.0625400i | ||||
\(535\) | 34.5737 | − | 0.648977i | 1.49475 | − | 0.0280577i | ||||
\(536\) | −3.11810 | − | 2.26543i | −0.134681 | − | 0.0978518i | ||||
\(537\) | 2.67002 | + | 3.67497i | 0.115220 | + | 0.158587i | ||||
\(538\) | 10.1111 | + | 13.9167i | 0.435921 | + | 0.599993i | ||||
\(539\) | −0.483397 | − | 0.351209i | −0.0208214 | − | 0.0151276i | ||||
\(540\) | −0.796993 | + | 2.61916i | −0.0342971 | + | 0.112711i | ||||
\(541\) | 14.8582 | − | 10.7951i | 0.638805 | − | 0.464119i | −0.220634 | − | 0.975357i | \(-0.570813\pi\) |
0.859440 | + | 0.511237i | \(0.170813\pi\) | |||||||
\(542\) | 29.8165 | + | 9.68797i | 1.28073 | + | 0.416134i | ||||
\(543\) | 4.36441i | 0.187295i | ||||||||
\(544\) | 0.559274 | − | 1.72127i | 0.0239787 | − | 0.0737988i | ||||
\(545\) | −9.59426 | − | 12.6972i | −0.410973 | − | 0.543890i | ||||
\(546\) | 0.172647 | + | 0.531353i | 0.00738862 | + | 0.0227398i | ||||
\(547\) | −0.799842 | + | 0.259884i | −0.0341988 | + | 0.0111119i | −0.326066 | − | 0.945347i | \(-0.605723\pi\) |
0.291868 | + | 0.956459i | \(0.405723\pi\) | |||||||
\(548\) | −10.7406 | + | 14.7831i | −0.458815 | + | 0.631505i | ||||
\(549\) | −34.2112 | −1.46010 | ||||||||
\(550\) | 2.80469 | − | 1.02919i | 0.119592 | − | 0.0438847i | ||||
\(551\) | −29.3607 | −1.25081 | ||||||||
\(552\) | −0.106207 | + | 0.146181i | −0.00452045 | + | 0.00622187i | ||||
\(553\) | −4.07947 | + | 1.32550i | −0.173477 | + | 0.0563660i | ||||
\(554\) | 2.77204 | + | 8.53146i | 0.117773 | + | 0.362467i | ||||
\(555\) | 1.01959 | − | 1.46022i | 0.0432794 | − | 0.0619827i | ||||
\(556\) | −0.164874 | + | 0.507430i | −0.00699222 | + | 0.0215198i | ||||
\(557\) | − | 8.98757i | − | 0.380816i | −0.981705 | − | 0.190408i | \(-0.939019\pi\) | ||
0.981705 | − | 0.190408i | \(-0.0609810\pi\) | |||||||
\(558\) | 12.4214 | + | 4.03596i | 0.525840 | + | 0.170856i | ||||
\(559\) | −1.73673 | + | 1.26181i | −0.0734558 | + | 0.0533688i | ||||
\(560\) | 1.78403 | − | 1.34805i | 0.0753891 | − | 0.0569654i | ||||
\(561\) | 0.179792 | + | 0.130627i | 0.00759082 | + | 0.00551506i | ||||
\(562\) | 1.27161 | + | 1.75022i | 0.0536397 | + | 0.0738287i | ||||
\(563\) | −7.70184 | − | 10.6007i | −0.324594 | − | 0.446765i | 0.615269 | − | 0.788317i | \(-0.289047\pi\) |
−0.939863 | + | 0.341552i | \(0.889047\pi\) | |||||||
\(564\) | −0.0752631 | − | 0.0546818i | −0.00316915 | − | 0.00230252i | ||||
\(565\) | −17.3425 | + | 13.1043i | −0.729606 | + | 0.551304i | ||||
\(566\) | −6.05526 | + | 4.39940i | −0.254521 | + | 0.184921i | ||||
\(567\) | 8.19972 | + | 2.66425i | 0.344356 | + | 0.111888i | ||||
\(568\) | − | 1.06757i | − | 0.0447941i | ||||||
\(569\) | −10.8277 | + | 33.3243i | −0.453922 | + | 1.39703i | 0.418474 | + | 0.908229i | \(0.362565\pi\) |
−0.872396 | + | 0.488799i | \(0.837435\pi\) | |||||||
\(570\) | 1.90481 | − | 2.72798i | 0.0797837 | − | 0.114262i | ||||
\(571\) | −5.34991 | − | 16.4653i | −0.223887 | − | 0.689053i | −0.998403 | − | 0.0564986i | \(-0.982006\pi\) |
0.774516 | − | 0.632555i | \(-0.217994\pi\) | |||||||
\(572\) | −1.54492 | + | 0.501975i | −0.0645964 | + | 0.0209886i | ||||
\(573\) | −1.14676 | + | 1.57838i | −0.0479065 | + | 0.0659376i | ||||
\(574\) | −6.09468 | −0.254387 | ||||||||
\(575\) | 2.44874 | − | 3.65108i | 0.102119 | − | 0.152261i | ||||
\(576\) | −2.95777 | −0.123240 | ||||||||
\(577\) | −8.05116 | + | 11.0815i | −0.335174 | + | 0.461327i | −0.943024 | − | 0.332724i | \(-0.892032\pi\) |
0.607850 | + | 0.794052i | \(0.292032\pi\) | |||||||
\(578\) | 13.0527 | − | 4.24109i | 0.542922 | − | 0.176406i | ||||
\(579\) | −0.841869 | − | 2.59101i | −0.0349869 | − | 0.107679i | ||||
\(580\) | 5.46641 | + | 7.23436i | 0.226981 | + | 0.300390i | ||||
\(581\) | −0.263830 | + | 0.811986i | −0.0109455 | + | 0.0336869i | ||||
\(582\) | 0.707231i | 0.0293157i | ||||||||
\(583\) | 5.82319 | + | 1.89207i | 0.241172 | + | 0.0783614i | ||||
\(584\) | 5.99209 | − | 4.35351i | 0.247955 | − | 0.180150i | ||||
\(585\) | −5.23438 | + | 17.2018i | −0.216415 | + | 0.711205i | ||||
\(586\) | −6.61975 | − | 4.80953i | −0.273459 | − | 0.198680i | ||||
\(587\) | −4.29522 | − | 5.91187i | −0.177283 | − | 0.244009i | 0.711123 | − | 0.703067i | \(-0.248187\pi\) |
−0.888406 | + | 0.459059i | \(0.848187\pi\) | |||||||
\(588\) | 0.120793 | + | 0.166258i | 0.00498143 | + | 0.00685634i | ||||
\(589\) | −25.8658 | − | 18.7926i | −1.06578 | − | 0.774336i | ||||
\(590\) | −3.35925 | + | 0.0630560i | −0.138298 | + | 0.00259597i | ||||
\(591\) | 2.21492 | − | 1.60924i | 0.0911097 | − | 0.0661951i | ||||
\(592\) | 3.68596 | + | 1.19764i | 0.151492 | + | 0.0492227i | ||||
\(593\) | 1.85774i | 0.0762883i | 0.999272 | + | 0.0381442i | \(0.0121446\pi\) | ||||
−0.999272 | + | 0.0381442i | \(0.987855\pi\) | |||||||
\(594\) | 0.226066 | − | 0.695761i | 0.00927562 | − | 0.0285474i | ||||
\(595\) | −3.87167 | − | 1.17812i | −0.158723 | − | 0.0482983i | ||||
\(596\) | 2.03191 | + | 6.25359i | 0.0832305 | + | 0.256157i | ||||
\(597\) | 1.95545 | − | 0.635364i | 0.0800312 | − | 0.0260037i | ||||
\(598\) | −1.40502 | + | 1.93384i | −0.0574554 | + | 0.0790805i | ||||
\(599\) | 9.82175 | 0.401306 | 0.200653 | − | 0.979662i | \(-0.435694\pi\) | ||||
0.200653 | + | 0.979662i | \(0.435694\pi\) | |||||||
\(600\) | −1.02680 | + | 0.0385616i | −0.0419191 | + | 0.00157427i | ||||
\(601\) | −18.6184 | −0.759461 | −0.379731 | − | 0.925097i | \(-0.623983\pi\) | ||||
−0.379731 | + | 0.925097i | \(0.623983\pi\) | |||||||
\(602\) | −0.464130 | + | 0.638821i | −0.0189165 | + | 0.0260364i | ||||
\(603\) | 10.8418 | − | 3.52272i | 0.441514 | − | 0.143456i | ||||
\(604\) | 6.73727 | + | 20.7352i | 0.274136 | + | 0.843703i | ||||
\(605\) | 22.4916 | − | 7.77760i | 0.914415 | − | 0.316204i | ||||
\(606\) | −0.882701 | + | 2.71667i | −0.0358573 | + | 0.110357i | ||||
\(607\) | − | 25.4476i | − | 1.03289i | −0.856322 | − | 0.516443i | \(-0.827256\pi\) | ||
0.856322 | − | 0.516443i | \(-0.172744\pi\) | |||||||
\(608\) | 6.88612 | + | 2.23744i | 0.279269 | + | 0.0907400i | ||||
\(609\) | −0.674185 | + | 0.489824i | −0.0273193 | + | 0.0198487i | ||||
\(610\) | −8.45254 | − | 24.4435i | −0.342233 | − | 0.989687i | ||||
\(611\) | −0.995661 | − | 0.723390i | −0.0402801 | − | 0.0292652i | ||||
\(612\) | 3.14648 | + | 4.33076i | 0.127189 | + | 0.175061i | ||||
\(613\) | −21.9475 | − | 30.2081i | −0.886450 | − | 1.22009i | −0.974592 | − | 0.223986i | \(-0.928093\pi\) |
0.0881418 | − | 0.996108i | \(-0.471907\pi\) | |||||||
\(614\) | −8.74498 | − | 6.35360i | −0.352919 | − | 0.256411i | ||||
\(615\) | 2.29627 | + | 1.60337i | 0.0925946 | + | 0.0646541i | ||||
\(616\) | −0.483397 | + | 0.351209i | −0.0194766 | + | 0.0141506i | ||||
\(617\) | −26.6903 | − | 8.67220i | −1.07451 | − | 0.349129i | −0.282267 | − | 0.959336i | \(-0.591087\pi\) |
−0.792243 | + | 0.610206i | \(0.791087\pi\) | |||||||
\(618\) | 3.84971i | 0.154858i | ||||||||
\(619\) | 6.94800 | − | 21.3838i | 0.279264 | − | 0.859486i | −0.708796 | − | 0.705414i | \(-0.750761\pi\) |
0.988060 | − | 0.154072i | \(-0.0492388\pi\) | |||||||
\(620\) | 0.185307 | + | 9.87208i | 0.00744212 | + | 0.396472i | ||||
\(621\) | −0.332659 | − | 1.02382i | −0.0133491 | − | 0.0410844i | ||||
\(622\) | −22.3059 | + | 7.24763i | −0.894386 | + | 0.290604i | ||||
\(623\) | −7.03242 | + | 9.67930i | −0.281748 | + | 0.387793i | ||||
\(624\) | 0.558698 | 0.0223658 | ||||||||
\(625\) | 24.9296 | − | 1.87510i | 0.997183 | − | 0.0750041i | ||||
\(626\) | 6.65586 | 0.266022 | ||||||||
\(627\) | −0.522585 | + | 0.719277i | −0.0208701 | + | 0.0287252i | ||||
\(628\) | 5.22311 | − | 1.69709i | 0.208425 | − | 0.0677213i | ||||
\(629\) | −2.16755 | − | 6.67103i | −0.0864259 | − | 0.265992i | ||||
\(630\) | 0.124124 | + | 6.61260i | 0.00494523 | + | 0.263452i | ||||
\(631\) | 10.9001 | − | 33.5471i | 0.433927 | − | 1.33549i | −0.460255 | − | 0.887787i | \(-0.652242\pi\) |
0.894182 | − | 0.447703i | \(-0.147758\pi\) | |||||||
\(632\) | 4.28941i | 0.170624i | ||||||||
\(633\) | −1.69912 | − | 0.552077i | −0.0675339 | − | 0.0219431i | ||||
\(634\) | −21.7281 | + | 15.7864i | −0.862935 | + | 0.626959i | ||||
\(635\) | −40.1594 | − | 28.0412i | −1.59368 | − | 1.11278i | ||||
\(636\) | −1.70368 | − | 1.23780i | −0.0675555 | − | 0.0490819i | ||||
\(637\) | 1.59798 | + | 2.19943i | 0.0633144 | + | 0.0871448i | ||||
\(638\) | −1.42417 | − | 1.96021i | −0.0563835 | − | 0.0776053i | ||||
\(639\) | 2.55456 | + | 1.85600i | 0.101057 | + | 0.0734221i | ||||
\(640\) | −0.730773 | − | 2.11328i | −0.0288863 | − | 0.0835349i | ||||
\(641\) | 23.5630 | − | 17.1195i | 0.930684 | − | 0.676181i | −0.0154765 | − | 0.999880i | \(-0.504927\pi\) |
0.946160 | + | 0.323699i | \(0.104927\pi\) | |||||||
\(642\) | 3.02250 | + | 0.982071i | 0.119289 | + | 0.0387592i | ||||
\(643\) | − | 25.7756i | − | 1.01649i | −0.861212 | − | 0.508245i | \(-0.830294\pi\) | ||
0.861212 | − | 0.508245i | \(-0.169706\pi\) | |||||||
\(644\) | −0.271701 | + | 0.836210i | −0.0107065 | + | 0.0329513i | ||||
\(645\) | 0.342928 | − | 0.118584i | 0.0135028 | − | 0.00466925i | ||||
\(646\) | −4.04942 | − | 12.4628i | −0.159322 | − | 0.490344i | ||||
\(647\) | −25.8145 | + | 8.38764i | −1.01487 | + | 0.329752i | −0.768793 | − | 0.639497i | \(-0.779143\pi\) |
−0.246080 | + | 0.969250i | \(0.579143\pi\) | |||||||
\(648\) | 5.06770 | − | 6.97509i | 0.199078 | − | 0.274008i | ||||
\(649\) | 0.897801 | 0.0352418 | ||||||||
\(650\) | −13.5837 | + | 0.510134i | −0.532796 | + | 0.0200091i | ||||
\(651\) | −0.907452 | −0.0355659 | ||||||||
\(652\) | 4.08905 | − | 5.62809i | 0.160139 | − | 0.220413i | ||||
\(653\) | −42.2646 | + | 13.7326i | −1.65394 | + | 0.537398i | −0.979589 | − | 0.201011i | \(-0.935577\pi\) |
−0.674353 | + | 0.738409i | \(0.735577\pi\) | |||||||
\(654\) | −0.451973 | − | 1.39103i | −0.0176735 | − | 0.0543936i | ||||
\(655\) | −3.89278 | − | 1.18454i | −0.152103 | − | 0.0462840i | ||||
\(656\) | −1.88336 | + | 5.79638i | −0.0735328 | + | 0.226311i | ||||
\(657\) | 21.9071i | 0.854678i | ||||||||
\(658\) | −0.430533 | − | 0.139889i | −0.0167839 | − | 0.00545343i | ||||
\(659\) | 28.9491 | − | 21.0328i | 1.12770 | − | 0.819320i | 0.142339 | − | 0.989818i | \(-0.454538\pi\) |
0.985358 | + | 0.170498i | \(0.0545375\pi\) | |||||||
\(660\) | 0.274523 | − | 0.00515303i | 0.0106858 | − | 0.000200581i | ||||
\(661\) | 34.4791 | + | 25.0505i | 1.34108 | + | 0.974351i | 0.999404 | + | 0.0345336i | \(0.0109946\pi\) |
0.341676 | + | 0.939818i | \(0.389005\pi\) | |||||||
\(662\) | −19.8362 | − | 27.3022i | −0.770955 | − | 1.06113i | ||||
\(663\) | −0.594345 | − | 0.818045i | −0.0230824 | − | 0.0317702i | ||||
\(664\) | 0.690717 | + | 0.501835i | 0.0268050 | + | 0.0194750i | ||||
\(665\) | 4.71320 | − | 15.4890i | 0.182770 | − | 0.600638i | ||||
\(666\) | −9.27397 | + | 6.73794i | −0.359359 | + | 0.261090i | ||||
\(667\) | −3.39089 | − | 1.10177i | −0.131296 | − | 0.0426605i | ||||
\(668\) | − | 3.19593i | − | 0.123654i | ||||||
\(669\) | −1.35242 | + | 4.16232i | −0.0522876 | + | 0.160925i | ||||
\(670\) | 5.19562 | + | 6.87598i | 0.200724 | + | 0.265642i | ||||
\(671\) | 2.13567 | + | 6.57291i | 0.0824465 | + | 0.253744i | ||||
\(672\) | 0.195447 | − | 0.0635047i | 0.00753955 | − | 0.00244975i | ||||
\(673\) | 6.89644 | − | 9.49213i | 0.265838 | − | 0.365895i | −0.655141 | − | 0.755507i | \(-0.727391\pi\) |
0.920979 | + | 0.389612i | \(0.127391\pi\) | |||||||
\(674\) | 18.6312 | 0.717648 | ||||||||
\(675\) | 3.40989 | − | 5.08417i | 0.131247 | − | 0.195690i | ||||
\(676\) | −5.60894 | −0.215728 | ||||||||
\(677\) | −12.7545 | + | 17.5551i | −0.490196 | + | 0.674696i | −0.980424 | − | 0.196898i | \(-0.936913\pi\) |
0.490228 | + | 0.871594i | \(0.336913\pi\) | |||||||
\(678\) | −1.89994 | + | 0.617328i | −0.0729668 | + | 0.0237083i | ||||
\(679\) | 1.06346 | + | 3.27298i | 0.0408117 | + | 0.125606i | ||||
\(680\) | −2.31687 | + | 3.31812i | −0.0888480 | + | 0.127244i | ||||
\(681\) | −1.70431 | + | 5.24534i | −0.0653094 | + | 0.201002i | ||||
\(682\) | − | 2.63844i | − | 0.101031i | ||||||
\(683\) | 46.9711 | + | 15.2618i | 1.79730 | + | 0.583978i | 0.999813 | − | 0.0193572i | \(-0.00616199\pi\) |
0.797488 | + | 0.603335i | \(0.206162\pi\) | |||||||
\(684\) | −17.3257 | + | 12.5878i | −0.662464 | + | 0.481308i | ||||
\(685\) | 32.5996 | − | 24.6328i | 1.24557 | − | 0.941172i | ||||
\(686\) | 0.809017 | + | 0.587785i | 0.0308884 | + | 0.0224417i | ||||
\(687\) | 2.54738 | + | 3.50616i | 0.0971884 | + | 0.133768i | ||||
\(688\) | 0.464130 | + | 0.638821i | 0.0176948 | + | 0.0243548i | ||||
\(689\) | −22.5382 | − | 16.3749i | −0.858636 | − | 0.623836i | ||||
\(690\) | 0.322356 | − | 0.243578i | 0.0122719 | − | 0.00927285i | ||||
\(691\) | −32.0004 | + | 23.2496i | −1.21735 | + | 0.884457i | −0.995877 | − | 0.0907091i | \(-0.971087\pi\) |
−0.221474 | + | 0.975166i | \(0.571087\pi\) | |||||||
\(692\) | 9.36802 | + | 3.04386i | 0.356119 | + | 0.115710i | ||||
\(693\) | − | 1.76730i | − | 0.0671342i | ||||||
\(694\) | −5.99892 | + | 18.4628i | −0.227716 | + | 0.700838i | ||||
\(695\) | 0.683014 | − | 0.978180i | 0.0259082 | − | 0.0371045i | ||||
\(696\) | 0.257516 | + | 0.792552i | 0.00976110 | + | 0.0300416i | ||||
\(697\) | 10.4906 | − | 3.40860i | 0.397359 | − | 0.129110i | ||||
\(698\) | 13.1039 | − | 18.0360i | 0.495991 | − | 0.682673i | ||||
\(699\) | 1.63291 | 0.0617622 | ||||||||
\(700\) | −4.69395 | + | 1.72246i | −0.177415 | + | 0.0651027i | ||||
\(701\) | 37.2403 | 1.40655 | 0.703273 | − | 0.710920i | \(-0.251721\pi\) | ||||
0.703273 | + | 0.710920i | \(0.251721\pi\) | |||||||
\(702\) | −1.95650 | + | 2.69289i | −0.0738432 | + | 0.101636i | ||||
\(703\) | 26.6882 | − | 8.67152i | 1.00656 | − | 0.327052i | ||||
\(704\) | 0.184641 | + | 0.568268i | 0.00695893 | + | 0.0214174i | ||||
\(705\) | 0.125409 | + | 0.165969i | 0.00472318 | + | 0.00625075i | ||||
\(706\) | 7.91003 | − | 24.3446i | 0.297698 | − | 0.916220i | ||||
\(707\) | 13.8998i | 0.522755i | ||||||||
\(708\) | −0.293673 | − | 0.0954201i | −0.0110369 | − | 0.00358611i | ||||
\(709\) | 12.4344 | − | 9.03409i | 0.466982 | − | 0.339282i | −0.329282 | − | 0.944232i | \(-0.606807\pi\) |
0.796264 | + | 0.604949i | \(0.206807\pi\) | |||||||
\(710\) | −0.694931 | + | 2.28376i | −0.0260803 | + | 0.0857079i | ||||
\(711\) | −10.2641 | − | 7.45727i | −0.384932 | − | 0.279670i | ||||
\(712\) | 7.03242 | + | 9.67930i | 0.263551 | + | 0.362747i | ||||
\(713\) | −2.28207 | − | 3.14099i | −0.0854640 | − | 0.117631i | ||||
\(714\) | −0.300901 | − | 0.218617i | −0.0112609 | − | 0.00818155i | ||||
\(715\) | 3.63169 | − | 0.0681698i | 0.135817 | − | 0.00254941i | ||||
\(716\) | 17.8826 | − | 12.9925i | 0.668303 | − | 0.485551i | ||||
\(717\) | −3.50441 | − | 1.13865i | −0.130874 | − | 0.0425237i | ||||
\(718\) | 27.2854i | 1.01828i | ||||||||
\(719\) | 4.74104 | − | 14.5914i | 0.176811 | − | 0.544168i | −0.822901 | − | 0.568185i | \(-0.807646\pi\) |
0.999712 | + | 0.0240172i | \(0.00764565\pi\) | |||||||
\(720\) | 6.32732 | + | 1.92536i | 0.235805 | + | 0.0717539i | ||||
\(721\) | 5.78877 | + | 17.8160i | 0.215585 | + | 0.663503i | ||||
\(722\) | 31.7889 | − | 10.3288i | 1.18306 | − | 0.384399i | ||||
\(723\) | 2.34831 | − | 3.23217i | 0.0873345 | − | 0.120206i | ||||
\(724\) | 21.2374 | 0.789283 | ||||||||
\(725\) | −6.98466 | − | 19.0343i | −0.259404 | − | 0.706914i | ||||
\(726\) | 2.18719 | 0.0811743 | ||||||||
\(727\) | −1.17714 | + | 1.62019i | −0.0436576 | + | 0.0600896i | −0.830288 | − | 0.557335i | \(-0.811824\pi\) |
0.786630 | + | 0.617425i | \(0.211824\pi\) | |||||||
\(728\) | 2.58559 | − | 0.840109i | 0.0958284 | − | 0.0311365i | ||||
\(729\) | 7.64697 | + | 23.5350i | 0.283221 | + | 0.871665i | ||||
\(730\) | −15.6523 | + | 5.41257i | −0.579319 | + | 0.200328i | ||||
\(731\) | 0.441617 | − | 1.35916i | 0.0163338 | − | 0.0502703i | ||||
\(732\) | − | 2.37700i | − | 0.0878563i | ||||||
\(733\) | −8.55268 | − | 2.77893i | −0.315900 | − | 0.102642i | 0.146775 | − | 0.989170i | \(-0.453111\pi\) |
−0.462676 | + | 0.886528i | \(0.653111\pi\) | |||||||
\(734\) | −18.6612 | + | 13.5582i | −0.688798 | + | 0.500441i | ||||
\(735\) | −0.150178 | − | 0.434292i | −0.00553940 | − | 0.0160191i | ||||
\(736\) | 0.711323 | + | 0.516806i | 0.0262197 | + | 0.0190497i | ||||
\(737\) | −1.35362 | − | 1.86310i | −0.0498613 | − | 0.0686282i | ||||
\(738\) | −10.5958 | − | 14.5839i | −0.390036 | − | 0.536839i | ||||
\(739\) | 10.2900 | + | 7.47610i | 0.378523 | + | 0.275013i | 0.760736 | − | 0.649061i | \(-0.224838\pi\) |
−0.382214 | + | 0.924074i | \(0.624838\pi\) | |||||||
\(740\) | −7.10548 | − | 4.96139i | −0.261202 | − | 0.182384i | ||||
\(741\) | 3.27268 | − | 2.37774i | 0.120225 | − | 0.0873484i | ||||
\(742\) | −9.74573 | − | 3.16658i | −0.357777 | − | 0.116249i | ||||
\(743\) | − | 11.6518i | − | 0.427462i | −0.976893 | − | 0.213731i | \(-0.931438\pi\) | ||
0.976893 | − | 0.213731i | \(-0.0685616\pi\) | |||||||
\(744\) | −0.280418 | + | 0.863038i | −0.0102806 | + | 0.0316405i | ||||
\(745\) | −0.275940 | − | 14.7005i | −0.0101097 | − | 0.538584i | ||||
\(746\) | 5.25627 | + | 16.1771i | 0.192446 | + | 0.592287i | ||||
\(747\) | −2.40167 | + | 0.780349i | −0.0878724 | + | 0.0285515i | ||||
\(748\) | 0.635635 | − | 0.874876i | 0.0232411 | − | 0.0319887i | ||||
\(749\) | 15.4645 | 0.565062 | ||||||||
\(750\) | 2.22166 | + | 0.585906i | 0.0811236 | + | 0.0213943i | ||||
\(751\) | −6.28867 | −0.229477 | −0.114738 | − | 0.993396i | \(-0.536603\pi\) | ||||
−0.114738 | + | 0.993396i | \(0.536603\pi\) | |||||||
\(752\) | −0.266084 | + | 0.366234i | −0.00970310 | + | 0.0133552i | ||||
\(753\) | 0.321534 | − | 0.104473i | 0.0117174 | − | 0.00380720i | ||||
\(754\) | 3.40670 | + | 10.4847i | 0.124065 | + | 0.381831i | ||||
\(755\) | −0.914943 | − | 48.7428i | −0.0332982 | − | 1.77393i | ||||
\(756\) | −0.378346 | + | 1.16443i | −0.0137603 | + | 0.0423499i | ||||
\(757\) | 18.9570i | 0.689003i | 0.938786 | + | 0.344502i | \(0.111952\pi\) | ||||
−0.938786 | + | 0.344502i | \(0.888048\pi\) | |||||||
\(758\) | 32.9671 | + | 10.7117i | 1.19742 | + | 0.389065i | ||||
\(759\) | −0.0873448 | + | 0.0634597i | −0.00317042 | + | 0.00230344i | ||||
\(760\) | −13.2745 | − | 9.26889i | −0.481516 | − | 0.336218i | ||||
\(761\) | −0.844541 | − | 0.613595i | −0.0306146 | − | 0.0222428i | 0.572373 | − | 0.819994i | \(-0.306023\pi\) |
−0.602987 | + | 0.797751i | \(0.706023\pi\) | |||||||
\(762\) | −2.64594 | − | 3.64183i | −0.0958524 | − | 0.131929i | ||||
\(763\) | −4.18336 | − | 5.75790i | −0.151448 | − | 0.208450i | ||||
\(764\) | 7.68045 | + | 5.58017i | 0.277869 | + | 0.201884i | ||||
\(765\) | −3.91191 | − | 11.3127i | −0.141435 | − | 0.409010i | ||||
\(766\) | 12.3595 | − | 8.97972i | 0.446568 | − | 0.324450i | ||||
\(767\) | −3.88502 | − | 1.26232i | −0.140280 | − | 0.0455797i | ||||
\(768\) | − | 0.205506i | − | 0.00741554i | ||||||
\(769\) | 9.34609 | − | 28.7643i | 0.337028 | − | 1.03727i | −0.628686 | − | 0.777659i | \(-0.716407\pi\) |
0.965714 | − | 0.259608i | \(-0.0835932\pi\) | |||||||
\(770\) | 1.26271 | − | 0.436645i | 0.0455050 | − | 0.0157356i | ||||
\(771\) | −1.49199 | − | 4.59189i | −0.0537329 | − | 0.165373i | ||||
\(772\) | −12.6080 | + | 4.09657i | −0.453770 | + | 0.147439i | ||||
\(773\) | −5.38935 | + | 7.41780i | −0.193841 | + | 0.266800i | −0.894864 | − | 0.446340i | \(-0.852727\pi\) |
0.701022 | + | 0.713139i | \(0.252727\pi\) | |||||||
\(774\) | −2.33553 | −0.0839489 | ||||||||
\(775\) | 6.02981 | − | 21.2392i | 0.216597 | − | 0.762934i | ||||
\(776\) | 3.44142 | 0.123540 | ||||||||
\(777\) | 0.468152 | − | 0.644355i | 0.0167948 | − | 0.0231161i | ||||
\(778\) | −22.9461 | + | 7.45564i | −0.822657 | + | 0.267298i | ||||
\(779\) | 13.6365 | + | 41.9687i | 0.488577 | + | 1.50368i | ||||
\(780\) | −1.19518 | − | 0.363684i | −0.0427942 | − | 0.0130220i | ||||
\(781\) | 0.197117 | − | 0.606663i | 0.00705339 | − | 0.0217081i | ||||
\(782\) | − | 1.59130i | − | 0.0569047i | ||||||
\(783\) | −4.72184 | − | 1.53422i | −0.168745 | − | 0.0548285i | ||||
\(784\) | 0.809017 | − | 0.587785i | 0.0288935 | − | 0.0209923i | ||||
\(785\) | −12.2781 | + | 0.230470i | −0.438224 | + | 0.00822584i | ||||
\(786\) | −0.302542 | − | 0.219809i | −0.0107913 | − | 0.00784034i | ||||
\(787\) | 17.4778 | + | 24.0562i | 0.623018 | + | 0.857510i | 0.997568 | − | 0.0696962i | \(-0.0222030\pi\) |
−0.374551 | + | 0.927206i | \(0.622203\pi\) | |||||||
\(788\) | −7.83061 | − | 10.7779i | −0.278954 | − | 0.383947i | ||||
\(789\) | 4.42007 | + | 3.21137i | 0.157359 | + | 0.114328i | ||||
\(790\) | 2.79219 | − | 9.17599i | 0.0993416 | − | 0.326467i | ||||
\(791\) | −7.86444 | + | 5.71385i | −0.279627 | + | 0.203161i | ||||
\(792\) | −1.68080 | − | 0.546126i | −0.0597247 | − | 0.0194057i | ||||
\(793\) | − | 31.4455i | − | 1.11666i | ||||||
\(794\) | −5.21680 | + | 16.0557i | −0.185137 | + | 0.569794i | ||||
\(795\) | 2.83881 | + | 3.75694i | 0.100682 | + | 0.133245i | ||||
\(796\) | −3.09171 | − | 9.51530i | −0.109583 | − | 0.337261i | ||||
\(797\) | −8.42383 | + | 2.73707i | −0.298387 | + | 0.0969520i | −0.454385 | − | 0.890806i | \(-0.650141\pi\) |
0.155997 | + | 0.987757i | \(0.450141\pi\) | |||||||
\(798\) | 0.874603 | − | 1.20379i | 0.0309606 | − | 0.0426136i | ||||
\(799\) | 0.819300 | 0.0289848 | ||||||||
\(800\) | 0.187642 | + | 4.99648i | 0.00663416 | + | 0.176652i | ||||
\(801\) | −35.3875 | −1.25036 | ||||||||
\(802\) | 9.48299 | − | 13.0522i | 0.334856 | − | 0.460890i | ||||
\(803\) | 4.20895 | − | 1.36757i | 0.148531 | − | 0.0482605i | ||||
\(804\) | 0.244759 | + | 0.753290i | 0.00863198 | + | 0.0265665i | ||||
\(805\) | 1.12556 | − | 1.61197i | 0.0396708 | − | 0.0568146i | ||||
\(806\) | −3.70968 | + | 11.4172i | −0.130668 | + | 0.402154i | ||||
\(807\) | − | 3.53511i | − | 0.124442i | ||||||
\(808\) | 13.2195 | + | 4.29526i | 0.465059 | + | 0.151107i | ||||
\(809\) | 23.5136 | − | 17.0837i | 0.826695 | − | 0.600629i | −0.0919272 | − | 0.995766i | \(-0.529303\pi\) |
0.918622 | + | 0.395136i | \(0.129303\pi\) | |||||||
\(810\) | −15.3814 | + | 11.6224i | −0.540446 | + | 0.408371i | ||||
\(811\) | 19.7179 | + | 14.3259i | 0.692388 | + | 0.503049i | 0.877444 | − | 0.479679i | \(-0.159247\pi\) |
−0.185056 | + | 0.982728i | \(0.559247\pi\) | |||||||
\(812\) | 2.38351 | + | 3.28061i | 0.0836447 | + | 0.115127i | ||||
\(813\) | −3.78698 | − | 5.21233i | −0.132815 | − | 0.182804i | ||||
\(814\) | 1.87348 | + | 1.36116i | 0.0656653 | + | 0.0477087i | ||||
\(815\) | −12.4110 | + | 9.37796i | −0.434738 | + | 0.328496i | ||||
\(816\) | −0.300901 | + | 0.218617i | −0.0105336 | + | 0.00765314i | ||||
\(817\) | 5.43746 | + | 1.76674i | 0.190233 | + | 0.0618103i | ||||
\(818\) | − | 4.00971i | − | 0.140196i | ||||||
\(819\) | −2.48485 | + | 7.64757i | −0.0868276 | + | 0.267228i | ||||
\(820\) | 7.80207 | − | 11.1738i | 0.272460 | − | 0.390205i | ||||
\(821\) | 0.946848 | + | 2.91410i | 0.0330452 | + | 0.101703i | 0.966219 | − | 0.257724i | \(-0.0829724\pi\) |
−0.933173 | + | 0.359426i | \(0.882972\pi\) | |||||||
\(822\) | 3.57141 | − | 1.16042i | 0.124567 | − | 0.0404743i | ||||
\(823\) | 30.0822 | − | 41.4045i | 1.04860 | − | 1.44327i | 0.158580 | − | 0.987346i | \(-0.449308\pi\) |
0.890018 | − | 0.455925i | \(-0.150692\pi\) | |||||||
\(824\) | 18.7329 | 0.652590 | ||||||||
\(825\) | −0.590620 | − | 0.167677i | −0.0205627 | − | 0.00583777i | ||||
\(826\) | −1.50257 | −0.0522810 | ||||||||
\(827\) | −12.7684 | + | 17.5742i | −0.444000 | + | 0.611114i | −0.971095 | − | 0.238693i | \(-0.923281\pi\) |
0.527095 | + | 0.849806i | \(0.323281\pi\) | |||||||
\(828\) | −2.47332 | + | 0.803629i | −0.0859537 | + | 0.0279280i | ||||
\(829\) | −5.99653 | − | 18.4554i | −0.208268 | − | 0.640983i | −0.999563 | − | 0.0295490i | \(-0.990593\pi\) |
0.791295 | − | 0.611434i | \(-0.209407\pi\) | |||||||
\(830\) | −1.15093 | − | 1.52316i | −0.0399492 | − | 0.0528696i | ||||
\(831\) | 0.569670 | − | 1.75326i | 0.0197616 | − | 0.0608200i | ||||
\(832\) | − | 2.71865i | − | 0.0942522i | ||||||
\(833\) | −1.72127 | − | 0.559274i | −0.0596385 | − | 0.0193777i | ||||
\(834\) | 0.0887057 | − | 0.0644484i | 0.00307163 | − | 0.00223167i | ||||
\(835\) | −2.08039 | + | 6.83679i | −0.0719948 | + | 0.236597i | ||||
\(836\) | 3.50004 | + | 2.54293i | 0.121051 | + | 0.0879489i | ||||
\(837\) | −3.17780 | − | 4.37386i | −0.109841 | − | 0.151183i | ||||
\(838\) | 17.9691 | + | 24.7323i | 0.620732 | + | 0.854364i | ||||
\(839\) | 44.8182 | + | 32.5623i | 1.54730 | + | 1.12418i | 0.945544 | + | 0.325495i | \(0.105531\pi\) |
0.601753 | + | 0.798682i | \(0.294469\pi\) | |||||||
\(840\) | −0.459444 | + | 0.00862414i | −0.0158523 | + | 0.000297561i | ||||
\(841\) | 10.1584 | − | 7.38051i | 0.350290 | − | 0.254500i | ||||
\(842\) | −11.2021 | − | 3.63978i | −0.386050 | − | 0.125435i | ||||
\(843\) | − | 0.444590i | − | 0.0153125i | ||||||
\(844\) | −2.68643 | + | 8.26799i | −0.0924709 | + | 0.284596i | ||||
\(845\) | 11.9988 | + | 3.65114i | 0.412770 | + | 0.125603i | ||||
\(846\) | −0.413758 | − | 1.27342i | −0.0142253 | − | 0.0437810i | ||||
\(847\) | 10.1221 | − | 3.28886i | 0.347799 | − | 0.113007i | ||||
\(848\) | −6.02319 | + | 8.29021i | −0.206837 | + | 0.284687i | ||||
\(849\) | 1.53815 | 0.0527892 | ||||||||
\(850\) | 7.11623 | − | 5.59001i | 0.244085 | − | 0.191736i | ||||
\(851\) | 3.40764 | 0.116812 | ||||||||
\(852\) | −0.128955 | + | 0.177491i | −0.00441791 | + | 0.00608073i | ||||
\(853\) | −6.28413 | + | 2.04184i | −0.215164 | + | 0.0699111i | −0.414616 | − | 0.909997i | \(-0.636084\pi\) |
0.199451 | + | 0.979908i | \(0.436084\pi\) | |||||||
\(854\) | −3.57427 | − | 11.0005i | −0.122309 | − | 0.376428i | ||||
\(855\) | 45.2575 | − | 15.6500i | 1.54777 | − | 0.535219i | ||||
\(856\) | 4.77880 | − | 14.7076i | 0.163336 | − | 0.502697i | ||||
\(857\) | − | 41.4918i | − | 1.41733i | −0.705544 | − | 0.708666i | \(-0.749297\pi\) | ||
0.705544 | − | 0.708666i | \(-0.250703\pi\) | |||||||
\(858\) | 0.317490 | + | 0.103159i | 0.0108389 | + | 0.00352178i | ||||
\(859\) | 2.95601 | − | 2.14767i | 0.100858 | − | 0.0732774i | −0.536213 | − | 0.844082i | \(-0.680146\pi\) |
0.637071 | + | 0.770805i | \(0.280146\pi\) | |||||||
\(860\) | −0.577037 | − | 1.66870i | −0.0196768 | − | 0.0569023i | ||||
\(861\) | 1.01329 | + | 0.736195i | 0.0345327 | + | 0.0250895i | ||||
\(862\) | −5.05685 | − | 6.96015i | −0.172237 | − | 0.237064i | ||||
\(863\) | 15.7847 | + | 21.7257i | 0.537316 | + | 0.739552i | 0.988223 | − | 0.153019i | \(-0.0488995\pi\) |
−0.450907 | + | 0.892571i | \(0.648899\pi\) | |||||||
\(864\) | 0.990524 | + | 0.719658i | 0.0336983 | + | 0.0244832i | ||||
\(865\) | −18.0589 | − | 12.6096i | −0.614020 | − | 0.428739i | ||||
\(866\) | 24.4576 | − | 17.7695i | 0.831102 | − | 0.603831i | ||||
\(867\) | −2.68241 | − | 0.871567i | −0.0910993 | − | 0.0296000i | ||||
\(868\) | 4.41571i | 0.149879i | ||||||||
\(869\) | −0.792002 | + | 2.43753i | −0.0268668 | + | 0.0826876i | ||||
\(870\) | −0.0349714 | − | 1.86307i | −0.00118564 | − | 0.0631641i | ||||
\(871\) | 3.23793 | + | 9.96534i | 0.109713 | + | 0.337663i | ||||
\(872\) | −6.76882 | + | 2.19932i | −0.229221 | + | 0.0744784i | ||||
\(873\) | −5.98302 | + | 8.23491i | −0.202494 | + | 0.278710i | ||||
\(874\) | 6.36616 | 0.215339 | ||||||||
\(875\) | 11.1626 | − | 0.629187i | 0.377365 | − | 0.0212704i | ||||
\(876\) | −1.52211 | −0.0514272 | ||||||||
\(877\) | −29.1169 | + | 40.0759i | −0.983206 | + | 1.35327i | −0.0481225 | + | 0.998841i | \(0.515324\pi\) |
−0.935084 | + | 0.354426i | \(0.884676\pi\) | |||||||
\(878\) | 8.18655 | − | 2.65997i | 0.276283 | − | 0.0897697i | ||||
\(879\) | 0.519625 | + | 1.59924i | 0.0175265 | + | 0.0539411i | ||||
\(880\) | −0.0250749 | − | 1.33584i | −0.000845274 | − | 0.0450312i | ||||
\(881\) | 3.04297 | − | 9.36530i | 0.102520 | − | 0.315525i | −0.886620 | − | 0.462498i | \(-0.846953\pi\) |
0.989140 | + | 0.146973i | \(0.0469532\pi\) | |||||||
\(882\) | 2.95777i | 0.0995932i | ||||||||
\(883\) | −7.57933 | − | 2.46267i | −0.255065 | − | 0.0828756i | 0.178694 | − | 0.983905i | \(-0.442813\pi\) |
−0.433758 | + | 0.901029i | \(0.642813\pi\) | |||||||
\(884\) | −3.98065 | + | 2.89211i | −0.133884 | + | 0.0972721i | ||||
\(885\) | 0.566117 | + | 0.395291i | 0.0190298 | + | 0.0132876i | ||||
\(886\) | −32.0540 | − | 23.2886i | −1.07687 | − | 0.782395i | ||||
\(887\) | −23.5866 | − | 32.4642i | −0.791962 | − | 1.09004i | −0.993861 | − | 0.110635i | \(-0.964711\pi\) |
0.201900 | − | 0.979406i | \(-0.435289\pi\) | |||||||
\(888\) | −0.468152 | − | 0.644355i | −0.0157101 | − | 0.0216232i | ||||
\(889\) | −17.7213 | − | 12.8753i | −0.594353 | − | 0.431823i | ||||
\(890\) | −8.74316 | − | 25.2839i | −0.293071 | − | 0.847518i | ||||
\(891\) | 4.16770 | − | 3.02801i | 0.139623 | − | 0.101442i | ||||
\(892\) | 20.2541 | + | 6.58094i | 0.678156 | + | 0.220346i | ||||
\(893\) | 3.27770i | 0.109684i | ||||||||
\(894\) | 0.417570 | − | 1.28515i | 0.0139656 | − | 0.0429818i | ||||
\(895\) | −46.7122 | + | 16.1531i | −1.56142 | + | 0.539937i | ||||
\(896\) | −0.309017 | − | 0.951057i | −0.0103235 | − | 0.0317726i | ||||
\(897\) | 0.467189 | − | 0.151799i | 0.0155990 | − | 0.00506842i | ||||
\(898\) | 19.8123 | − | 27.2693i | 0.661146 | − | 0.909989i | ||||
\(899\) | −17.9060 | −0.597197 | ||||||||
\(900\) | −12.2822 | − | 8.23753i | −0.409407 | − | 0.274584i | ||||
\(901\) | 18.5460 | 0.617857 | ||||||||
\(902\) | −2.14050 | + | 2.94615i | −0.0712710 | + | 0.0980961i | ||||
\(903\) | 0.154330 | − | 0.0501450i | 0.00513579 | − | 0.00166872i | ||||
\(904\) | 3.00395 | + | 9.24520i | 0.0999098 | + | 0.307491i | ||||
\(905\) | −45.4315 | − | 13.8245i | −1.51020 | − | 0.459542i | ||||
\(906\) | 1.38455 | − | 4.26120i | 0.0459985 | − | 0.141569i | ||||
\(907\) | 23.5477i | 0.781888i | 0.920414 | + | 0.390944i | \(0.127851\pi\) | ||||
−0.920414 | + | 0.390944i | \(0.872149\pi\) | |||||||
\(908\) | 25.5241 | + | 8.29327i | 0.847045 | + | 0.275222i | ||||
\(909\) | −33.2605 | + | 24.1652i | −1.10318 | + | 0.801509i | ||||
\(910\) | −6.07802 | + | 0.114090i | −0.201484 | + | 0.00378203i | ||||
\(911\) | 44.1085 | + | 32.0467i | 1.46138 | + | 1.06176i | 0.983001 | + | 0.183602i | \(0.0587758\pi\) |
0.478380 | + | 0.878153i | \(0.341224\pi\) | |||||||
\(912\) | −0.874603 | − | 1.20379i | −0.0289610 | − | 0.0398614i | ||||
\(913\) | 0.299852 | + | 0.412711i | 0.00992367 | + | 0.0136588i | ||||
\(914\) | 24.5123 | + | 17.8093i | 0.810796 | + | 0.589078i | ||||
\(915\) | −1.54730 | + | 5.08492i | −0.0511523 | + | 0.168102i | ||||
\(916\) | 17.0611 | − | 12.3956i | 0.563716 | − | 0.409564i | ||||
\(917\) | −1.73065 | − | 0.562324i | −0.0571512 | − | 0.0185696i | ||||
\(918\) | − | 2.21590i | − | 0.0731355i | ||||||
\(919\) | 3.75109 | − | 11.5447i | 0.123737 | − | 0.380824i | −0.869932 | − | 0.493172i | \(-0.835837\pi\) |
0.993669 | + | 0.112348i | \(0.0358372\pi\) | |||||||
\(920\) | −1.18526 | − | 1.56860i | −0.0390769 | − | 0.0517152i | ||||
\(921\) | 0.686448 | + | 2.11267i | 0.0226192 | + | 0.0696148i | ||||
\(922\) | −27.9079 | + | 9.06784i | −0.919099 | + | 0.298633i | ||||
\(923\) | −1.70595 | + | 2.34804i | −0.0561521 | + | 0.0772867i | ||||
\(924\) | 0.122792 | 0.00403956 | ||||||||
\(925\) | 11.9706 | + | 15.2388i | 0.393590 | + | 0.501049i | ||||
\(926\) | −3.33511 | −0.109599 | ||||||||
\(927\) | −32.5677 | + | 44.8255i | −1.06966 | + | 1.47226i | ||||
\(928\) | 3.85659 | − | 1.25308i | 0.126599 | − | 0.0411345i | ||||
\(929\) | 10.5876 | + | 32.5854i | 0.347369 | + | 1.06909i | 0.960303 | + | 0.278957i | \(0.0899888\pi\) |
−0.612935 | + | 0.790133i | \(0.710011\pi\) | |||||||
\(930\) | 1.16167 | − | 1.66369i | 0.0380927 | − | 0.0545546i | ||||
\(931\) | 2.23744 | − | 6.88612i | 0.0733290 | − | 0.225684i | ||||
\(932\) | − | 7.94580i | − | 0.260273i | ||||||
\(933\) | 4.58399 | + | 1.48943i | 0.150073 | + | 0.0487617i | ||||
\(934\) | −2.41260 | + | 1.75285i | −0.0789425 | + | 0.0573551i | ||||
\(935\) | −1.92926 | + | 1.45779i | −0.0630937 | + | 0.0476747i | ||||
\(936\) | 6.50542 | + | 4.72646i | 0.212636 | + | 0.154489i | ||||
\(937\) | 1.78871 | + | 2.46195i | 0.0584348 | + | 0.0804285i | 0.837234 | − | 0.546844i | \(-0.184171\pi\) |
−0.778800 | + | 0.627273i | \(0.784171\pi\) | |||||||
\(938\) | 2.26543 | + | 3.11810i | 0.0739690 | + | 0.101810i | ||||
\(939\) | −1.10659 | − | 0.803982i | −0.0361121 | − | 0.0262370i | ||||
\(940\) | 0.807613 | − | 0.610247i | 0.0263414 | − | 0.0199041i | ||||
\(941\) | 20.3221 | − | 14.7649i | 0.662482 | − | 0.481322i | −0.205018 | − | 0.978758i | \(-0.565725\pi\) |
0.867500 | + | 0.497437i | \(0.165725\pi\) | |||||||
\(942\) | −1.07338 | − | 0.348762i | −0.0349725 | − | 0.0113633i | ||||
\(943\) | 5.35871i | 0.174503i | ||||||||
\(944\) | −0.464319 | + | 1.42903i | −0.0151123 | + | 0.0465108i | ||||
\(945\) | 1.56735 | − | 2.24469i | 0.0509860 | − | 0.0730197i | ||||
\(946\) | 0.145798 | + | 0.448719i | 0.00474029 | + | 0.0145891i | ||||
\(947\) | −32.3340 | + | 10.5060i | −1.05071 | + | 0.341398i | −0.782949 | − | 0.622086i | \(-0.786285\pi\) |
−0.267766 | + | 0.963484i | \(0.586285\pi\) | |||||||
\(948\) | 0.518131 | − | 0.713146i | 0.0168281 | − | 0.0231619i | ||||
\(949\) | −20.1361 | −0.653644 | ||||||||
\(950\) | 22.3634 | + | 28.4692i | 0.725566 | + | 0.923663i | ||||
\(951\) | 5.51936 | 0.178977 | ||||||||
\(952\) | −1.06380 | + | 1.46420i | −0.0344781 | + | 0.0474550i | ||||
\(953\) | 17.8597 | − | 5.80296i | 0.578532 | − | 0.187976i | −0.00511108 | − | 0.999987i | \(-0.501627\pi\) |
0.583643 | + | 0.812011i | \(0.301627\pi\) | |||||||
\(954\) | −9.36600 | − | 28.8256i | −0.303236 | − | 0.933263i | ||||
\(955\) | −12.7978 | − | 16.9368i | −0.414126 | − | 0.548062i | ||||
\(956\) | −5.54073 | + | 17.0526i | −0.179200 | + | 0.551521i | ||||
\(957\) | 0.497929i | 0.0160958i | ||||||||
\(958\) | −2.93096 | − | 0.952326i | −0.0946950 | − | 0.0307683i | ||||
\(959\) | 14.7831 | − | 10.7406i | 0.477373 | − | 0.346831i | ||||
\(960\) | −0.133774 | + | 0.439622i | −0.00431753 | + | 0.0141887i | ||||
\(961\) | 9.30494 | + | 6.76044i | 0.300159 | + | 0.218079i | ||||
\(962\) | −6.19322 | − | 8.52423i | −0.199677 | − | 0.274832i | ||||
\(963\) | 26.8856 | + | 37.0048i | 0.866376 | + | 1.19246i | ||||
\(964\) | −15.7279 | − | 11.4270i | −0.506561 | − | 0.368038i | ||||
\(965\) | 29.6379 | − | 0.556328i | 0.954077 | − | 0.0179088i | ||||
\(966\) | 0.146181 | − | 0.106207i | 0.00470329 | − | 0.00341714i | ||||
\(967\) | −41.0932 | − | 13.3520i | −1.32147 | − | 0.429371i | −0.438469 | − | 0.898746i | \(-0.644479\pi\) |
−0.882999 | + | 0.469376i | \(0.844479\pi\) | |||||||
\(968\) | − | 10.6430i | − | 0.342078i | ||||||
\(969\) | −0.832179 | + | 2.56119i | −0.0267335 | + | 0.0822771i | ||||
\(970\) | −7.36195 | − | 2.24019i | −0.236378 | − | 0.0719282i | ||||
\(971\) | 3.39734 | + | 10.4560i | 0.109026 | + | 0.335547i | 0.990654 | − | 0.136397i | \(-0.0435523\pi\) |
−0.881628 | + | 0.471944i | \(0.843552\pi\) | |||||||
\(972\) | −5.17838 | + | 1.68256i | −0.166097 | + | 0.0539680i | ||||
\(973\) | 0.313609 | − | 0.431646i | 0.0100538 | − | 0.0138379i | ||||
\(974\) | 8.85093 | 0.283602 | ||||||||
\(975\) | 2.32001 | + | 1.55600i | 0.0742998 | + | 0.0498319i | ||||
\(976\) | −11.5666 | −0.370237 | ||||||||
\(977\) | 16.8687 | − | 23.2178i | 0.539678 | − | 0.742802i | −0.448889 | − | 0.893588i | \(-0.648180\pi\) |
0.988567 | + | 0.150785i | \(0.0481801\pi\) | |||||||
\(978\) | −1.35967 | + | 0.441783i | −0.0434774 | + | 0.0141267i | ||||
\(979\) | 2.20910 | + | 6.79890i | 0.0706031 | + | 0.217294i | ||||
\(980\) | −2.11328 | + | 0.730773i | −0.0675064 | + | 0.0233437i | ||||
\(981\) | 6.50508 | − | 20.0206i | 0.207691 | − | 0.639208i | ||||
\(982\) | 4.37268i | 0.139538i | ||||||||
\(983\) | −18.4987 | − | 6.01061i | −0.590018 | − | 0.191709i | −0.00123459 | − | 0.999999i | \(-0.500393\pi\) |
−0.588784 | + | 0.808291i | \(0.700393\pi\) | |||||||
\(984\) | 1.01329 | − | 0.736195i | 0.0323024 | − | 0.0234691i | ||||
\(985\) | 9.73553 | + | 28.1537i | 0.310200 | + | 0.897051i | ||||
\(986\) | −5.93742 | − | 4.31379i | −0.189086 | − | 0.137379i | ||||
\(987\) | 0.0546818 | + | 0.0752631i | 0.00174054 | + | 0.00239565i | ||||
\(988\) | −11.5702 | − | 15.9250i | −0.368097 | − | 0.506642i | ||||
\(989\) | 0.561679 | + | 0.408084i | 0.0178604 | + | 0.0129763i | ||||
\(990\) | 3.24011 | + | 2.26240i | 0.102977 | + | 0.0719039i | ||||
\(991\) | −25.8093 | + | 18.7516i | −0.819861 | + | 0.595664i | −0.916673 | − | 0.399639i | \(-0.869135\pi\) |
0.0968120 | + | 0.995303i | \(0.469135\pi\) | |||||||
\(992\) | 4.19959 | + | 1.36453i | 0.133337 | + | 0.0433238i | ||||
\(993\) | 6.93527i | 0.220084i | ||||||||
\(994\) | −0.329896 | + | 1.01532i | −0.0104637 | + | 0.0322038i | ||||
\(995\) | 0.419864 | + | 22.3679i | 0.0133106 | + | 0.709110i | ||||
\(996\) | −0.0542186 | − | 0.166868i | −0.00171798 | − | 0.00528741i | ||||
\(997\) | −53.6265 | + | 17.4243i | −1.69837 | + | 0.551833i | −0.988330 | − | 0.152330i | \(-0.951322\pi\) |
−0.710038 | + | 0.704163i | \(0.751322\pi\) | |||||||
\(998\) | −6.26546 | + | 8.62366i | −0.198330 | + | 0.272977i | ||||
\(999\) | 4.74517 | 0.150130 |
(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 | 350.2.m.a.309.2 | yes | 24 | |
25.8 | odd | 20 | 8750.2.a.z.1.6 | 12 | |||
25.14 | even | 10 | inner | 350.2.m.a.239.2 | ✓ | 24 | |
25.17 | odd | 20 | 8750.2.a.bb.1.7 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.m.a.239.2 | ✓ | 24 | 25.14 | even | 10 | inner | |
350.2.m.a.309.2 | yes | 24 | 1.1 | even | 1 | trivial | |
8750.2.a.z.1.6 | 12 | 25.8 | odd | 20 | |||
8750.2.a.bb.1.7 | 12 | 25.17 | odd | 20 |