Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), 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: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 122.5 | ||
Character | \(\chi\) | \(=\) | 135.122 |
Dual form | 135.2.q.a.83.5 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22359 | − | 0.856769i | −0.865211 | − | 0.605827i | 0.0544607 | − | 0.998516i | \(-0.482656\pi\) |
−0.919671 | + | 0.392689i | \(0.871545\pi\) | |||||||
\(3\) | −1.44117 | + | 0.960742i | −0.832061 | + | 0.554685i | ||||
\(4\) | 0.0790861 | + | 0.217287i | 0.0395430 | + | 0.108644i | ||||
\(5\) | 2.10603 | + | 0.751431i | 0.941844 | + | 0.336050i | ||||
\(6\) | 2.58654 | + | 0.0591935i | 1.05595 | + | 0.0241657i | ||||
\(7\) | −2.03610 | − | 4.36642i | −0.769572 | − | 1.65035i | −0.759590 | − | 0.650402i | \(-0.774600\pi\) |
−0.00998196 | − | 0.999950i | \(-0.503177\pi\) | |||||||
\(8\) | −0.683816 | + | 2.55204i | −0.241766 | + | 0.902281i | ||||
\(9\) | 1.15395 | − | 2.76919i | 0.384650 | − | 0.923063i | ||||
\(10\) | −1.93312 | − | 2.72382i | −0.611305 | − | 0.861349i | ||||
\(11\) | −2.25098 | − | 2.68262i | −0.678697 | − | 0.808839i | 0.311243 | − | 0.950330i | \(-0.399255\pi\) |
−0.989940 | + | 0.141491i | \(0.954810\pi\) | |||||||
\(12\) | −0.322733 | − | 0.237167i | −0.0931651 | − | 0.0684641i | ||||
\(13\) | −2.18203 | − | 3.11626i | −0.605186 | − | 0.864295i | 0.393294 | − | 0.919413i | \(-0.371336\pi\) |
−0.998480 | + | 0.0551175i | \(0.982447\pi\) | |||||||
\(14\) | −1.24966 | + | 7.08719i | −0.333986 | + | 1.89413i | ||||
\(15\) | −3.75708 | + | 0.940408i | −0.970073 | + | 0.242812i | ||||
\(16\) | 3.37749 | − | 2.83405i | 0.844372 | − | 0.708512i | ||||
\(17\) | −0.367380 | − | 1.37108i | −0.0891027 | − | 0.332536i | 0.906957 | − | 0.421224i | \(-0.138399\pi\) |
−0.996059 | + | 0.0886879i | \(0.971733\pi\) | |||||||
\(18\) | −3.78452 | + | 2.39969i | −0.892019 | + | 0.565612i | ||||
\(19\) | 1.30024 | − | 0.750693i | 0.298295 | − | 0.172221i | −0.343382 | − | 0.939196i | \(-0.611572\pi\) |
0.641677 | + | 0.766975i | \(0.278239\pi\) | |||||||
\(20\) | 0.00328108 | + | 0.517040i | 0.000733673 | + | 0.115614i | ||||
\(21\) | 7.12937 | + | 4.33660i | 1.55576 | + | 0.946323i | ||||
\(22\) | 0.455904 | + | 5.21100i | 0.0971990 | + | 1.11099i | ||||
\(23\) | 1.35959 | + | 0.633988i | 0.283494 | + | 0.132196i | 0.559165 | − | 0.829057i | \(-0.311122\pi\) |
−0.275670 | + | 0.961252i | \(0.588900\pi\) | |||||||
\(24\) | −1.46635 | − | 4.33489i | −0.299318 | − | 0.884856i | ||||
\(25\) | 3.87070 | + | 3.16507i | 0.774141 | + | 0.633014i | ||||
\(26\) | 5.68253i | 1.11444i | ||||||||
\(27\) | 0.997437 | + | 5.09952i | 0.191957 | + | 0.981403i | ||||
\(28\) | 0.787741 | − | 0.787741i | 0.148869 | − | 0.148869i | ||||
\(29\) | −0.168770 | − | 0.957143i | −0.0313398 | − | 0.177737i | 0.965120 | − | 0.261808i | \(-0.0843188\pi\) |
−0.996460 | + | 0.0840712i | \(0.973208\pi\) | |||||||
\(30\) | 5.40285 | + | 2.06827i | 0.986420 | + | 0.377613i | ||||
\(31\) | −2.44873 | + | 0.891266i | −0.439806 | + | 0.160076i | −0.552426 | − | 0.833562i | \(-0.686298\pi\) |
0.112620 | + | 0.993638i | \(0.464076\pi\) | |||||||
\(32\) | −1.29677 | + | 0.113453i | −0.229239 | + | 0.0200558i | ||||
\(33\) | 5.82135 | + | 1.70350i | 1.01337 | + | 0.296541i | ||||
\(34\) | −0.725176 | + | 1.99240i | −0.124367 | + | 0.341694i | ||||
\(35\) | −1.00701 | − | 10.7258i | −0.170216 | − | 1.81299i | ||||
\(36\) | 0.692970 | + | 0.0317342i | 0.115495 | + | 0.00528903i | ||||
\(37\) | 6.69580 | − | 1.79413i | 1.10078 | − | 0.294954i | 0.337699 | − | 0.941254i | \(-0.390351\pi\) |
0.763083 | + | 0.646300i | \(0.223685\pi\) | |||||||
\(38\) | −2.23413 | − | 0.195461i | −0.362424 | − | 0.0317080i | ||||
\(39\) | 6.13860 | + | 2.39470i | 0.982963 | + | 0.383459i | ||||
\(40\) | −3.35782 | + | 4.86082i | −0.530917 | + | 0.768563i | ||||
\(41\) | −0.670363 | − | 0.118203i | −0.104693 | − | 0.0184602i | 0.121056 | − | 0.992646i | \(-0.461372\pi\) |
−0.225749 | + | 0.974185i | \(0.572483\pi\) | |||||||
\(42\) | −5.00798 | − | 11.4145i | −0.772748 | − | 1.76129i | ||||
\(43\) | −0.0175704 | + | 0.200831i | −0.00267946 | + | 0.0306264i | −0.997417 | − | 0.0718322i | \(-0.977115\pi\) |
0.994737 | + | 0.102459i | \(0.0326709\pi\) | |||||||
\(44\) | 0.404877 | − | 0.701267i | 0.0610375 | − | 0.105720i | ||||
\(45\) | 4.51110 | − | 4.96487i | 0.672475 | − | 0.740119i | ||||
\(46\) | −1.12040 | − | 1.94060i | −0.165195 | − | 0.286126i | ||||
\(47\) | −7.89228 | + | 3.68023i | −1.15121 | + | 0.536817i | −0.902044 | − | 0.431644i | \(-0.857934\pi\) |
−0.249164 | + | 0.968461i | \(0.580156\pi\) | |||||||
\(48\) | −2.14475 | + | 7.32924i | −0.309568 | + | 1.05789i | ||||
\(49\) | −10.4204 | + | 12.4186i | −1.48863 | + | 1.77409i | ||||
\(50\) | −2.02443 | − | 7.18905i | −0.286298 | − | 1.01669i | ||||
\(51\) | 1.84671 | + | 1.62300i | 0.258591 | + | 0.227266i | ||||
\(52\) | 0.504555 | − | 0.720580i | 0.0699692 | − | 0.0999264i | ||||
\(53\) | 2.81838 | + | 2.81838i | 0.387135 | + | 0.387135i | 0.873664 | − | 0.486529i | \(-0.161737\pi\) |
−0.486529 | + | 0.873664i | \(0.661737\pi\) | |||||||
\(54\) | 3.14865 | − | 7.09431i | 0.428478 | − | 0.965413i | ||||
\(55\) | −2.72483 | − | 7.34112i | −0.367416 | − | 0.989877i | ||||
\(56\) | 12.5356 | − | 2.21036i | 1.67514 | − | 0.295372i | ||||
\(57\) | −1.15264 | + | 2.33107i | −0.152671 | + | 0.308758i | ||||
\(58\) | −0.613544 | + | 1.31575i | −0.0805623 | + | 0.172766i | ||||
\(59\) | 5.69079 | + | 4.77514i | 0.740877 | + | 0.621670i | 0.933073 | − | 0.359687i | \(-0.117116\pi\) |
−0.192196 | + | 0.981357i | \(0.561561\pi\) | |||||||
\(60\) | −0.501471 | − | 0.741992i | −0.0647396 | − | 0.0957907i | ||||
\(61\) | −1.08988 | − | 0.396683i | −0.139544 | − | 0.0507900i | 0.271304 | − | 0.962494i | \(-0.412545\pi\) |
−0.410848 | + | 0.911704i | \(0.634767\pi\) | |||||||
\(62\) | 3.75986 | + | 1.00745i | 0.477503 | + | 0.127947i | ||||
\(63\) | −14.4410 | + | 0.599704i | −1.81939 | + | 0.0755556i | ||||
\(64\) | −5.95268 | − | 3.43678i | −0.744085 | − | 0.429598i | ||||
\(65\) | −2.25376 | − | 8.20258i | −0.279544 | − | 1.01740i | ||||
\(66\) | −5.66346 | − | 7.07194i | −0.697124 | − | 0.870496i | ||||
\(67\) | 12.5612 | − | 8.79548i | 1.53460 | − | 1.07454i | 0.566472 | − | 0.824081i | \(-0.308308\pi\) |
0.968128 | − | 0.250457i | \(-0.0805810\pi\) | |||||||
\(68\) | 0.268864 | − | 0.188260i | 0.0326045 | − | 0.0228299i | ||||
\(69\) | −2.56850 | + | 0.392531i | −0.309211 | + | 0.0472552i | ||||
\(70\) | −7.95735 | + | 13.9868i | −0.951086 | + | 1.67174i | ||||
\(71\) | −11.1295 | − | 6.42561i | −1.32083 | − | 0.762579i | −0.336966 | − | 0.941517i | \(-0.609401\pi\) |
−0.983860 | + | 0.178938i | \(0.942734\pi\) | |||||||
\(72\) | 6.27798 | + | 4.83854i | 0.739867 | + | 0.570227i | ||||
\(73\) | −0.343386 | − | 0.0920100i | −0.0401903 | − | 0.0107690i | 0.238668 | − | 0.971101i | \(-0.423289\pi\) |
−0.278858 | + | 0.960332i | \(0.589956\pi\) | |||||||
\(74\) | −9.73009 | − | 3.54146i | −1.13110 | − | 0.411687i | ||||
\(75\) | −8.61916 | − | 0.842659i | −0.995255 | − | 0.0973019i | ||||
\(76\) | 0.265947 | + | 0.223156i | 0.0305062 | + | 0.0255977i | ||||
\(77\) | −7.13022 | + | 15.2908i | −0.812564 | + | 1.74255i | ||||
\(78\) | −5.45945 | − | 8.18950i | −0.618161 | − | 0.927278i | ||||
\(79\) | 9.66646 | − | 1.70446i | 1.08756 | − | 0.191766i | 0.399005 | − | 0.916949i | \(-0.369356\pi\) |
0.688557 | + | 0.725182i | \(0.258245\pi\) | |||||||
\(80\) | 9.24267 | − | 3.43063i | 1.03336 | − | 0.383557i | ||||
\(81\) | −6.33680 | − | 6.39100i | −0.704089 | − | 0.710112i | ||||
\(82\) | 0.718978 | + | 0.718978i | 0.0793979 | + | 0.0793979i | ||||
\(83\) | 6.51525 | − | 9.30474i | 0.715142 | − | 1.02133i | −0.282923 | − | 0.959143i | \(-0.591304\pi\) |
0.998065 | − | 0.0621857i | \(-0.0198071\pi\) | |||||||
\(84\) | −0.378454 | + | 1.89208i | −0.0412927 | + | 0.206443i | ||||
\(85\) | 0.256560 | − | 3.16359i | 0.0278279 | − | 0.343140i | ||||
\(86\) | 0.193565 | − | 0.230681i | 0.0208726 | − | 0.0248750i | ||||
\(87\) | 1.16279 | + | 1.21726i | 0.124665 | + | 0.130504i | ||||
\(88\) | 8.38540 | − | 3.91017i | 0.893886 | − | 0.416826i | ||||
\(89\) | 2.09630 | + | 3.63090i | 0.222208 | + | 0.384875i | 0.955478 | − | 0.295062i | \(-0.0953403\pi\) |
−0.733270 | + | 0.679937i | \(0.762007\pi\) | |||||||
\(90\) | −9.77350 | + | 2.21001i | −1.03022 | + | 0.232955i | ||||
\(91\) | −9.16409 | + | 15.8727i | −0.960658 | + | 1.66391i | ||||
\(92\) | −0.0302327 | + | 0.345561i | −0.00315198 | + | 0.0360272i | ||||
\(93\) | 2.67277 | − | 3.63707i | 0.277153 | − | 0.377146i | ||||
\(94\) | 12.8100 | + | 2.25876i | 1.32126 | + | 0.232973i | ||||
\(95\) | 3.30243 | − | 0.603940i | 0.338822 | − | 0.0619630i | ||||
\(96\) | 1.75987 | − | 1.40937i | 0.179616 | − | 0.143843i | ||||
\(97\) | 6.41403 | + | 0.561155i | 0.651246 | + | 0.0569767i | 0.407991 | − | 0.912986i | \(-0.366229\pi\) |
0.243255 | + | 0.969962i | \(0.421785\pi\) | |||||||
\(98\) | 23.3902 | − | 6.26740i | 2.36277 | − | 0.633103i | ||||
\(99\) | −10.0262 | + | 3.13779i | −1.00767 | + | 0.315360i | ||||
\(100\) | −0.381610 | + | 1.09137i | −0.0381610 | + | 0.109137i | ||||
\(101\) | −2.09253 | + | 5.74917i | −0.208214 | + | 0.572064i | −0.999209 | − | 0.0397585i | \(-0.987341\pi\) |
0.790995 | + | 0.611823i | \(0.209563\pi\) | |||||||
\(102\) | −0.869084 | − | 3.56810i | −0.0860521 | − | 0.353295i | ||||
\(103\) | 7.50553 | − | 0.656648i | 0.739541 | − | 0.0647015i | 0.288841 | − | 0.957377i | \(-0.406730\pi\) |
0.450700 | + | 0.892675i | \(0.351174\pi\) | |||||||
\(104\) | 9.44492 | − | 3.43767i | 0.926151 | − | 0.337091i | ||||
\(105\) | 11.7560 | + | 14.4902i | 1.14727 | + | 1.41410i | ||||
\(106\) | −1.03385 | − | 5.86326i | −0.100416 | − | 0.569490i | ||||
\(107\) | 9.86451 | − | 9.86451i | 0.953639 | − | 0.953639i | −0.0453334 | − | 0.998972i | \(-0.514435\pi\) |
0.998972 | + | 0.0453334i | \(0.0144350\pi\) | |||||||
\(108\) | −1.02918 | + | 0.620031i | −0.0990326 | + | 0.0596625i | ||||
\(109\) | − | 2.02062i | − | 0.193540i | −0.995307 | − | 0.0967701i | \(-0.969149\pi\) | ||
0.995307 | − | 0.0967701i | \(-0.0308512\pi\) | |||||||
\(110\) | −2.95556 | + | 11.3171i | −0.281802 | + | 1.07904i | ||||
\(111\) | −7.92609 | + | 9.01859i | −0.752311 | + | 0.856006i | ||||
\(112\) | −19.2515 | − | 8.97714i | −1.81910 | − | 0.848260i | ||||
\(113\) | −0.0677216 | − | 0.774062i | −0.00637072 | − | 0.0728176i | 0.992344 | − | 0.123506i | \(-0.0394139\pi\) |
−0.998715 | + | 0.0506887i | \(0.983858\pi\) | |||||||
\(114\) | 3.40756 | − | 1.86473i | 0.319147 | − | 0.174648i | ||||
\(115\) | 2.38694 | + | 2.35683i | 0.222583 | + | 0.219776i | ||||
\(116\) | 0.194627 | − | 0.112368i | 0.0180707 | − | 0.0104331i | ||||
\(117\) | −11.1475 | + | 2.44644i | −1.03058 | + | 0.226174i | ||||
\(118\) | −2.87202 | − | 10.7185i | −0.264391 | − | 0.986719i | ||||
\(119\) | −5.23869 | + | 4.39579i | −0.480230 | + | 0.402961i | ||||
\(120\) | 0.169194 | − | 10.2313i | 0.0154452 | − | 0.933983i | ||||
\(121\) | −0.219379 | + | 1.24416i | −0.0199435 | + | 0.113105i | ||||
\(122\) | 0.993700 | + | 1.41915i | 0.0899654 | + | 0.128484i | ||||
\(123\) | 1.07967 | − | 0.473695i | 0.0973506 | − | 0.0427116i | ||||
\(124\) | −0.387321 | − | 0.461592i | −0.0347825 | − | 0.0414522i | ||||
\(125\) | 5.77347 | + | 9.57429i | 0.516395 | + | 0.856350i | ||||
\(126\) | 18.1837 | + | 11.6388i | 1.61993 | + | 1.03687i | ||||
\(127\) | −5.08430 | + | 18.9749i | −0.451159 | + | 1.68375i | 0.247982 | + | 0.968765i | \(0.420232\pi\) |
−0.699141 | + | 0.714983i | \(0.746434\pi\) | |||||||
\(128\) | 5.43940 | + | 11.6648i | 0.480779 | + | 1.03103i | ||||
\(129\) | −0.167625 | − | 0.306312i | −0.0147585 | − | 0.0269693i | ||||
\(130\) | −4.27003 | + | 11.9676i | −0.374506 | + | 1.04962i | ||||
\(131\) | −1.67084 | − | 4.59061i | −0.145982 | − | 0.401083i | 0.845053 | − | 0.534682i | \(-0.179569\pi\) |
−0.991035 | + | 0.133599i | \(0.957347\pi\) | |||||||
\(132\) | 0.0902401 | + | 1.39963i | 0.00785439 | + | 0.121822i | ||||
\(133\) | −5.92525 | − | 4.14891i | −0.513784 | − | 0.359756i | ||||
\(134\) | −22.9055 | −1.97874 | ||||||||
\(135\) | −1.73131 | + | 11.4892i | −0.149007 | + | 0.988836i | ||||
\(136\) | 3.75027 | 0.321583 | ||||||||
\(137\) | 1.49059 | + | 1.04372i | 0.127349 | + | 0.0891710i | 0.635516 | − | 0.772088i | \(-0.280788\pi\) |
−0.508166 | + | 0.861259i | \(0.669676\pi\) | |||||||
\(138\) | 3.47911 | + | 1.72031i | 0.296161 | + | 0.146443i | ||||
\(139\) | 0.987166 | + | 2.71222i | 0.0837303 | + | 0.230047i | 0.974491 | − | 0.224425i | \(-0.0720503\pi\) |
−0.890761 | + | 0.454472i | \(0.849828\pi\) | |||||||
\(140\) | 2.25094 | − | 1.06707i | 0.190239 | − | 0.0901839i | ||||
\(141\) | 7.83838 | − | 12.8863i | 0.660110 | − | 1.08522i | ||||
\(142\) | 8.11269 | + | 17.3977i | 0.680802 | + | 1.45998i | ||||
\(143\) | −3.44802 | + | 12.8682i | −0.288338 | + | 1.07609i | ||||
\(144\) | −3.95056 | − | 12.6232i | −0.329214 | − | 1.05194i | ||||
\(145\) | 0.363792 | − | 2.14259i | 0.0302113 | − | 0.177932i | ||||
\(146\) | 0.341333 | + | 0.406785i | 0.0282489 | + | 0.0336658i | ||||
\(147\) | 3.08657 | − | 27.9087i | 0.254576 | − | 2.30187i | ||||
\(148\) | 0.919386 | + | 1.31302i | 0.0755731 | + | 0.107930i | ||||
\(149\) | 2.86013 | − | 16.2206i | 0.234311 | − | 1.32885i | −0.609748 | − | 0.792596i | \(-0.708729\pi\) |
0.844059 | − | 0.536250i | \(-0.180160\pi\) | |||||||
\(150\) | 9.82438 | + | 8.41570i | 0.802157 | + | 0.687139i | ||||
\(151\) | 1.98981 | − | 1.66965i | 0.161929 | − | 0.135874i | −0.558223 | − | 0.829691i | \(-0.688517\pi\) |
0.720152 | + | 0.693817i | \(0.244072\pi\) | |||||||
\(152\) | 1.02667 | + | 3.83159i | 0.0832741 | + | 0.310783i | ||||
\(153\) | −4.22072 | − | 0.564813i | −0.341225 | − | 0.0456624i | ||||
\(154\) | 21.8252 | − | 12.6008i | 1.75872 | − | 1.01540i | ||||
\(155\) | −5.82683 | + | 0.0369764i | −0.468022 | + | 0.00297002i | ||||
\(156\) | −0.0348594 | + | 1.52323i | −0.00279098 | + | 0.121956i | ||||
\(157\) | −1.24669 | − | 14.2497i | −0.0994965 | − | 1.13725i | −0.867715 | − | 0.497062i | \(-0.834412\pi\) |
0.768219 | − | 0.640188i | \(-0.221143\pi\) | |||||||
\(158\) | −13.2881 | − | 6.19636i | −1.05715 | − | 0.492956i | ||||
\(159\) | −6.76951 | − | 1.35403i | −0.536857 | − | 0.107382i | ||||
\(160\) | −2.81629 | − | 0.735501i | −0.222648 | − | 0.0581465i | ||||
\(161\) | − | 7.22741i | − | 0.569599i | ||||||
\(162\) | 2.27805 | + | 13.2492i | 0.178981 | + | 1.04095i | ||||
\(163\) | −8.00886 | + | 8.00886i | −0.627302 | + | 0.627302i | −0.947388 | − | 0.320086i | \(-0.896288\pi\) |
0.320086 | + | 0.947388i | \(0.396288\pi\) | |||||||
\(164\) | −0.0273323 | − | 0.155009i | −0.00213430 | − | 0.0121042i | ||||
\(165\) | 10.9799 | + | 7.96196i | 0.854782 | + | 0.619837i | ||||
\(166\) | −15.9440 | + | 5.80315i | −1.23750 | + | 0.450412i | ||||
\(167\) | −13.9146 | + | 1.21737i | −1.07674 | + | 0.0942027i | −0.611703 | − | 0.791088i | \(-0.709515\pi\) |
−0.465039 | + | 0.885290i | \(0.653960\pi\) | |||||||
\(168\) | −15.9423 | + | 15.2290i | −1.22998 | + | 1.17494i | ||||
\(169\) | −0.503569 | + | 1.38354i | −0.0387361 | + | 0.106427i | ||||
\(170\) | −3.02439 | + | 3.65114i | −0.231960 | + | 0.280029i | ||||
\(171\) | −0.578401 | − | 4.46687i | −0.0442314 | − | 0.341590i | ||||
\(172\) | −0.0450275 | + | 0.0120651i | −0.00343332 | + | 0.000919955i | ||||
\(173\) | 4.02915 | + | 0.352505i | 0.306331 | + | 0.0268005i | 0.239285 | − | 0.970949i | \(-0.423087\pi\) |
0.0670460 | + | 0.997750i | \(0.478643\pi\) | |||||||
\(174\) | −0.379874 | − | 2.48568i | −0.0287982 | − | 0.188439i | ||||
\(175\) | 5.93890 | − | 23.3455i | 0.448939 | − | 1.76475i | ||||
\(176\) | −15.2053 | − | 2.68111i | −1.14614 | − | 0.202096i | ||||
\(177\) | −12.7891 | − | 1.41441i | −0.961285 | − | 0.106314i | ||||
\(178\) | 0.545824 | − | 6.23880i | 0.0409112 | − | 0.467618i | ||||
\(179\) | −3.24205 | + | 5.61540i | −0.242322 | + | 0.419714i | −0.961375 | − | 0.275241i | \(-0.911242\pi\) |
0.719053 | + | 0.694955i | \(0.244576\pi\) | |||||||
\(180\) | 1.43557 | + | 0.587552i | 0.107001 | + | 0.0437936i | ||||
\(181\) | −3.86147 | − | 6.68826i | −0.287021 | − | 0.497135i | 0.686076 | − | 0.727530i | \(-0.259332\pi\) |
−0.973097 | + | 0.230395i | \(0.925998\pi\) | |||||||
\(182\) | 24.8123 | − | 11.5702i | 1.83921 | − | 0.857639i | ||||
\(183\) | 1.95181 | − | 0.475403i | 0.144282 | − | 0.0351428i | ||||
\(184\) | −2.54767 | + | 3.03620i | −0.187817 | + | 0.223831i | ||||
\(185\) | 15.4497 | + | 1.25294i | 1.13588 | + | 0.0921177i | ||||
\(186\) | −6.38651 | + | 2.16035i | −0.468281 | + | 0.158404i | ||||
\(187\) | −2.85112 | + | 4.07182i | −0.208494 | + | 0.297761i | ||||
\(188\) | −1.42384 | − | 1.42384i | −0.103844 | − | 0.103844i | ||||
\(189\) | 20.2358 | − | 14.7383i | 1.47194 | − | 1.07206i | ||||
\(190\) | −4.55827 | − | 2.09044i | −0.330692 | − | 0.151657i | ||||
\(191\) | 9.13822 | − | 1.61131i | 0.661218 | − | 0.116591i | 0.167039 | − | 0.985950i | \(-0.446580\pi\) |
0.494180 | + | 0.869360i | \(0.335468\pi\) | |||||||
\(192\) | 11.8807 | − | 0.766000i | 0.857415 | − | 0.0552813i | ||||
\(193\) | 10.7832 | − | 23.1246i | 0.776191 | − | 1.66455i | 0.0293284 | − | 0.999570i | \(-0.490663\pi\) |
0.746863 | − | 0.664978i | \(-0.231559\pi\) | |||||||
\(194\) | −7.36738 | − | 6.18197i | −0.528947 | − | 0.443839i | ||||
\(195\) | 11.1286 | + | 9.65604i | 0.796937 | + | 0.691483i | ||||
\(196\) | −3.52251 | − | 1.28209i | −0.251608 | − | 0.0915779i | ||||
\(197\) | −12.1103 | − | 3.24493i | −0.862820 | − | 0.231192i | −0.199839 | − | 0.979829i | \(-0.564042\pi\) |
−0.662980 | + | 0.748637i | \(0.730709\pi\) | |||||||
\(198\) | 14.9563 | + | 4.75075i | 1.06290 | + | 0.337621i | ||||
\(199\) | 12.0563 | + | 6.96070i | 0.854648 | + | 0.493431i | 0.862216 | − | 0.506540i | \(-0.169076\pi\) |
−0.00756873 | + | 0.999971i | \(0.502409\pi\) | |||||||
\(200\) | −10.7242 | + | 7.71385i | −0.758317 | + | 0.545452i | ||||
\(201\) | −9.65271 | + | 24.7439i | −0.680850 | + | 1.74530i | ||||
\(202\) | 7.48611 | − | 5.24183i | 0.526721 | − | 0.368814i | ||||
\(203\) | −3.83566 | + | 2.68576i | −0.269210 | + | 0.188503i | ||||
\(204\) | −0.206609 | + | 0.529624i | −0.0144655 | + | 0.0370811i | ||||
\(205\) | −1.32298 | − | 0.752670i | −0.0924010 | − | 0.0525688i | ||||
\(206\) | −9.74630 | − | 5.62703i | −0.679057 | − | 0.392054i | ||||
\(207\) | 3.32453 | − | 3.03337i | 0.231071 | − | 0.210834i | ||||
\(208\) | −16.2014 | − | 4.34115i | −1.12337 | − | 0.301005i | ||||
\(209\) | −4.94063 | − | 1.79824i | −0.341751 | − | 0.124387i | ||||
\(210\) | −1.96977 | − | 27.8023i | −0.135927 | − | 1.91854i | ||||
\(211\) | 15.4091 | + | 12.9298i | 1.06081 | + | 0.890124i | 0.994188 | − | 0.107654i | \(-0.0343339\pi\) |
0.0666204 | + | 0.997778i | \(0.478778\pi\) | |||||||
\(212\) | −0.389504 | + | 0.835293i | −0.0267512 | + | 0.0573682i | ||||
\(213\) | 22.2128 | − | 1.43216i | 1.52200 | − | 0.0981299i | ||||
\(214\) | −20.5218 | + | 3.61854i | −1.40284 | + | 0.247358i | ||||
\(215\) | −0.187914 | + | 0.409752i | −0.0128157 | + | 0.0279449i | ||||
\(216\) | −13.6962 | − | 0.941639i | −0.931911 | − | 0.0640704i | ||||
\(217\) | 8.87750 | + | 8.87750i | 0.602644 | + | 0.602644i | ||||
\(218\) | −1.73120 | + | 2.47242i | −0.117252 | + | 0.167453i | ||||
\(219\) | 0.583276 | − | 0.197303i | 0.0394141 | − | 0.0133325i | ||||
\(220\) | 1.37964 | − | 1.17265i | 0.0930150 | − | 0.0790601i | ||||
\(221\) | −3.47101 | + | 4.13659i | −0.233485 | + | 0.278257i | ||||
\(222\) | 17.4252 | − | 4.24425i | 1.16950 | − | 0.284855i | ||||
\(223\) | −19.8549 | + | 9.25851i | −1.32959 | + | 0.619996i | −0.952034 | − | 0.305993i | \(-0.901012\pi\) |
−0.377552 | + | 0.925989i | \(0.623234\pi\) | |||||||
\(224\) | 3.13574 | + | 5.43126i | 0.209515 | + | 0.362891i | ||||
\(225\) | 13.2313 | − | 7.06637i | 0.882084 | − | 0.471092i | ||||
\(226\) | −0.580328 | + | 1.00516i | −0.0386029 | + | 0.0668621i | ||||
\(227\) | −0.431671 | + | 4.93402i | −0.0286510 | + | 0.327482i | 0.968320 | + | 0.249712i | \(0.0803358\pi\) |
−0.996971 | + | 0.0777708i | \(0.975220\pi\) | |||||||
\(228\) | −0.597670 | − | 0.0660995i | −0.0395816 | − | 0.00437754i | ||||
\(229\) | −1.07319 | − | 0.189232i | −0.0709183 | − | 0.0125048i | 0.138076 | − | 0.990422i | \(-0.455908\pi\) |
−0.208995 | + | 0.977917i | \(0.567019\pi\) | |||||||
\(230\) | −0.901377 | − | 4.92886i | −0.0594351 | − | 0.324999i | ||||
\(231\) | −4.41465 | − | 28.8870i | −0.290463 | − | 1.90062i | ||||
\(232\) | 2.55807 | + | 0.223802i | 0.167946 | + | 0.0146933i | ||||
\(233\) | −25.6297 | + | 6.86746i | −1.67906 | + | 0.449903i | −0.967530 | − | 0.252755i | \(-0.918663\pi\) |
−0.711529 | + | 0.702657i | \(0.751997\pi\) | |||||||
\(234\) | 15.7360 | + | 6.55735i | 1.02869 | + | 0.428667i | ||||
\(235\) | −19.3868 | + | 1.82016i | −1.26466 | + | 0.118734i | ||||
\(236\) | −0.587514 | + | 1.61418i | −0.0382439 | + | 0.105074i | ||||
\(237\) | −12.2935 | + | 11.7434i | −0.798547 | + | 0.762815i | ||||
\(238\) | 10.1762 | − | 0.890302i | 0.659625 | − | 0.0577097i | ||||
\(239\) | 1.41158 | − | 0.513773i | 0.0913075 | − | 0.0332332i | −0.295962 | − | 0.955200i | \(-0.595640\pi\) |
0.387270 | + | 0.921966i | \(0.373418\pi\) | |||||||
\(240\) | −10.0243 | + | 13.8240i | −0.647067 | + | 0.892332i | ||||
\(241\) | 0.572431 | + | 3.24642i | 0.0368735 | + | 0.209120i | 0.997678 | − | 0.0681065i | \(-0.0216958\pi\) |
−0.960805 | + | 0.277227i | \(0.910585\pi\) | |||||||
\(242\) | 1.33439 | − | 1.33439i | 0.0857777 | − | 0.0857777i | ||||
\(243\) | 15.2725 | + | 3.12250i | 0.979733 | + | 0.200308i | ||||
\(244\) | − | 0.268188i | − | 0.0171690i | ||||||
\(245\) | −31.2775 | + | 18.3237i | −1.99824 | + | 1.17066i | ||||
\(246\) | −1.72692 | − | 0.345418i | −0.110105 | − | 0.0220231i | ||||
\(247\) | −5.17651 | − | 2.41385i | −0.329374 | − | 0.153589i | ||||
\(248\) | −0.600060 | − | 6.85872i | −0.0381039 | − | 0.435529i | ||||
\(249\) | −0.450134 | + | 19.6692i | −0.0285261 | + | 1.24649i | ||||
\(250\) | 1.13857 | − | 16.6616i | 0.0720095 | − | 1.05377i | ||||
\(251\) | 16.2363 | − | 9.37404i | 1.02483 | − | 0.591684i | 0.109328 | − | 0.994006i | \(-0.465130\pi\) |
0.915498 | + | 0.402322i | \(0.131797\pi\) | |||||||
\(252\) | −1.27239 | − | 3.09041i | −0.0801530 | − | 0.194678i | ||||
\(253\) | −1.35967 | − | 5.07436i | −0.0854817 | − | 0.319022i | ||||
\(254\) | 22.4782 | − | 18.8614i | 1.41041 | − | 1.18347i | ||||
\(255\) | 2.66965 | + | 4.80577i | 0.167180 | + | 0.300949i | ||||
\(256\) | 0.951288 | − | 5.39502i | 0.0594555 | − | 0.337189i | ||||
\(257\) | 11.8010 | + | 16.8536i | 0.736129 | + | 1.05130i | 0.996317 | + | 0.0857431i | \(0.0273264\pi\) |
−0.260188 | + | 0.965558i | \(0.583785\pi\) | |||||||
\(258\) | −0.0573345 | + | 0.518417i | −0.00356949 | + | 0.0322752i | ||||
\(259\) | −21.4672 | − | 25.5836i | −1.33391 | − | 1.58969i | ||||
\(260\) | 1.60407 | − | 1.13842i | 0.0994804 | − | 0.0706019i | ||||
\(261\) | −2.84526 | − | 0.637138i | −0.176117 | − | 0.0394378i | ||||
\(262\) | −1.88866 | + | 7.04856i | −0.116682 | + | 0.435461i | ||||
\(263\) | 7.24374 | + | 15.5342i | 0.446668 | + | 0.957882i | 0.992755 | + | 0.120154i | \(0.0383389\pi\) |
−0.546087 | + | 0.837728i | \(0.683883\pi\) | |||||||
\(264\) | −8.32812 | + | 13.6914i | −0.512560 | + | 0.842649i | ||||
\(265\) | 3.81777 | + | 8.05341i | 0.234524 | + | 0.494717i | ||||
\(266\) | 3.69544 | + | 10.1531i | 0.226582 | + | 0.622529i | ||||
\(267\) | −6.50950 | − | 3.21875i | −0.398375 | − | 0.196984i | ||||
\(268\) | 2.90456 | + | 2.03380i | 0.177424 | + | 0.124234i | ||||
\(269\) | −5.61280 | −0.342218 | −0.171109 | − | 0.985252i | \(-0.554735\pi\) | ||||
−0.171109 | + | 0.985252i | \(0.554735\pi\) | |||||||
\(270\) | 11.9620 | − | 12.5748i | 0.727986 | − | 0.765279i | ||||
\(271\) | 15.6827 | 0.952656 | 0.476328 | − | 0.879268i | \(-0.341968\pi\) | ||||
0.476328 | + | 0.879268i | \(0.341968\pi\) | |||||||
\(272\) | −5.12653 | − | 3.58963i | −0.310841 | − | 0.217654i | ||||
\(273\) | −2.04252 | − | 31.6796i | −0.123619 | − | 1.91733i | ||||
\(274\) | −0.929644 | − | 2.55418i | −0.0561619 | − | 0.154303i | ||||
\(275\) | −0.222218 | − | 17.5081i | −0.0134003 | − | 1.05578i | ||||
\(276\) | −0.288425 | − | 0.527059i | −0.0173611 | − | 0.0317252i | ||||
\(277\) | −10.3807 | − | 22.2616i | −0.623718 | − | 1.33757i | −0.923514 | − | 0.383564i | \(-0.874696\pi\) |
0.299796 | − | 0.954003i | \(-0.403081\pi\) | |||||||
\(278\) | 1.11585 | − | 4.16442i | 0.0669244 | − | 0.249765i | ||||
\(279\) | −0.357631 | + | 7.80948i | −0.0214108 | + | 0.467541i | ||||
\(280\) | 28.0612 | + | 4.76455i | 1.67698 | + | 0.284736i | ||||
\(281\) | 0.467705 | + | 0.557389i | 0.0279010 | + | 0.0332511i | 0.779814 | − | 0.626011i | \(-0.215313\pi\) |
−0.751914 | + | 0.659262i | \(0.770869\pi\) | |||||||
\(282\) | −20.6316 | + | 9.05190i | −1.22859 | + | 0.539033i | ||||
\(283\) | 12.3891 | + | 17.6935i | 0.736457 | + | 1.05177i | 0.996285 | + | 0.0861152i | \(0.0274453\pi\) |
−0.259828 | + | 0.965655i | \(0.583666\pi\) | |||||||
\(284\) | 0.516015 | − | 2.92647i | 0.0306199 | − | 0.173654i | ||||
\(285\) | −4.17914 | + | 4.04317i | −0.247551 | + | 0.239497i | ||||
\(286\) | 15.2440 | − | 12.7913i | 0.901399 | − | 0.756364i | ||||
\(287\) | 0.848799 | + | 3.16776i | 0.0501030 | + | 0.186987i | ||||
\(288\) | −1.18224 | + | 3.72193i | −0.0696641 | + | 0.219317i | ||||
\(289\) | 12.9775 | − | 7.49259i | 0.763385 | − | 0.440740i | ||||
\(290\) | −2.28084 | + | 2.30997i | −0.133935 | + | 0.135646i | ||||
\(291\) | −9.78284 | + | 5.35351i | −0.573480 | + | 0.313828i | ||||
\(292\) | −0.00716445 | − | 0.0818900i | −0.000419268 | − | 0.00479225i | ||||
\(293\) | 8.30888 | + | 3.87450i | 0.485410 | + | 0.226350i | 0.649888 | − | 0.760030i | \(-0.274816\pi\) |
−0.164477 | + | 0.986381i | \(0.552594\pi\) | |||||||
\(294\) | −27.6880 | + | 31.5044i | −1.61480 | + | 1.83737i | ||||
\(295\) | 8.39676 | + | 14.3328i | 0.488879 | + | 0.834488i | ||||
\(296\) | 18.3148i | 1.06452i | ||||||||
\(297\) | 11.4348 | − | 14.1547i | 0.663517 | − | 0.821338i | ||||
\(298\) | −17.3970 | + | 17.3970i | −1.00778 | + | 1.00778i | ||||
\(299\) | −0.990996 | − | 5.62022i | −0.0573108 | − | 0.325026i | ||||
\(300\) | −0.498556 | − | 1.93948i | −0.0287842 | − | 0.111976i | ||||
\(301\) | 0.912687 | − | 0.332191i | 0.0526064 | − | 0.0191472i | ||||
\(302\) | −3.86523 | + | 0.338164i | −0.222419 | + | 0.0194591i | ||||
\(303\) | −2.50778 | − | 10.2959i | −0.144068 | − | 0.591485i | ||||
\(304\) | 2.26404 | − | 6.22039i | 0.129851 | − | 0.356764i | ||||
\(305\) | −1.99723 | − | 1.65439i | −0.114361 | − | 0.0947303i | ||||
\(306\) | 4.68052 | + | 4.30728i | 0.267568 | + | 0.246231i | ||||
\(307\) | −7.01141 | + | 1.87870i | −0.400162 | + | 0.107223i | −0.453287 | − | 0.891365i | \(-0.649749\pi\) |
0.0531246 | + | 0.998588i | \(0.483082\pi\) | |||||||
\(308\) | −3.88640 | − | 0.340016i | −0.221448 | − | 0.0193742i | ||||
\(309\) | −10.1859 | + | 8.15722i | −0.579454 | + | 0.464048i | ||||
\(310\) | 7.16134 | + | 4.94700i | 0.406737 | + | 0.280971i | ||||
\(311\) | 22.2915 | + | 3.93059i | 1.26404 | + | 0.222884i | 0.765188 | − | 0.643807i | \(-0.222646\pi\) |
0.498847 | + | 0.866690i | \(0.333757\pi\) | |||||||
\(312\) | −10.3090 | + | 14.0284i | −0.583634 | + | 0.794202i | ||||
\(313\) | −0.360352 | + | 4.11885i | −0.0203683 | + | 0.232811i | 0.979186 | + | 0.202964i | \(0.0650575\pi\) |
−0.999554 | + | 0.0298468i | \(0.990498\pi\) | |||||||
\(314\) | −10.6833 | + | 18.5039i | −0.602891 | + | 1.04424i | ||||
\(315\) | −30.8638 | − | 9.58842i | −1.73898 | − | 0.540246i | ||||
\(316\) | 1.13484 | + | 1.96560i | 0.0638397 | + | 0.110574i | ||||
\(317\) | 29.1740 | − | 13.6040i | 1.63857 | − | 0.764080i | 0.638589 | − | 0.769548i | \(-0.279518\pi\) |
0.999985 | + | 0.00546854i | \(0.00174070\pi\) | |||||||
\(318\) | 7.12303 | + | 7.45669i | 0.399440 | + | 0.418151i | ||||
\(319\) | −2.18775 | + | 2.60726i | −0.122490 | + | 0.145978i | ||||
\(320\) | −9.95400 | − | 11.7110i | −0.556446 | − | 0.654664i | ||||
\(321\) | −4.73920 | + | 23.6937i | −0.264516 | + | 1.32245i | ||||
\(322\) | −6.19222 | + | 8.84340i | −0.345079 | + | 0.492824i | ||||
\(323\) | −1.50694 | − | 1.50694i | −0.0838485 | − | 0.0838485i | ||||
\(324\) | 0.887530 | − | 1.88235i | 0.0493072 | − | 0.104575i | ||||
\(325\) | 1.41719 | − | 18.9684i | 0.0786117 | − | 1.05218i | ||||
\(326\) | 16.6613 | − | 2.93784i | 0.922785 | − | 0.162712i | ||||
\(327\) | 1.94129 | + | 2.91206i | 0.107354 | + | 0.161037i | ||||
\(328\) | 0.760064 | − | 1.62996i | 0.0419675 | − | 0.0899996i | ||||
\(329\) | 32.1389 | + | 26.9677i | 1.77187 | + | 1.48678i | ||||
\(330\) | −6.61333 | − | 19.1494i | −0.364052 | − | 1.05414i | ||||
\(331\) | 1.84234 | + | 0.670556i | 0.101264 | + | 0.0368571i | 0.392155 | − | 0.919899i | \(-0.371730\pi\) |
−0.290891 | + | 0.956756i | \(0.593952\pi\) | |||||||
\(332\) | 2.53707 | + | 0.679805i | 0.139240 | + | 0.0373091i | ||||
\(333\) | 2.75832 | − | 20.6123i | 0.151155 | − | 1.12954i | ||||
\(334\) | 18.0688 | + | 10.4320i | 0.988679 | + | 0.570814i | ||||
\(335\) | 33.0635 | − | 9.08461i | 1.80645 | − | 0.496345i | ||||
\(336\) | 36.3695 | − | 5.55817i | 1.98412 | − | 0.303223i | ||||
\(337\) | −13.7556 | + | 9.63175i | −0.749313 | + | 0.524675i | −0.884724 | − | 0.466115i | \(-0.845653\pi\) |
0.135411 | + | 0.990789i | \(0.456764\pi\) | |||||||
\(338\) | 1.80154 | − | 1.26145i | 0.0979909 | − | 0.0686140i | ||||
\(339\) | 0.841272 | + | 1.05049i | 0.0456916 | + | 0.0570549i | ||||
\(340\) | 0.707699 | − | 0.194449i | 0.0383803 | − | 0.0105455i | ||||
\(341\) | 7.90298 | + | 4.56279i | 0.427970 | + | 0.247089i | ||||
\(342\) | −3.11934 | + | 5.96118i | −0.168675 | + | 0.322344i | ||||
\(343\) | 42.8663 | + | 11.4860i | 2.31456 | + | 0.620185i | ||||
\(344\) | −0.500513 | − | 0.182172i | −0.0269858 | − | 0.00982205i | ||||
\(345\) | −5.70430 | − | 1.10337i | −0.307109 | − | 0.0594034i | ||||
\(346\) | −4.62803 | − | 3.88338i | −0.248804 | − | 0.208772i | ||||
\(347\) | 1.32763 | − | 2.84711i | 0.0712708 | − | 0.152841i | −0.867445 | − | 0.497534i | \(-0.834239\pi\) |
0.938716 | + | 0.344693i | \(0.112017\pi\) | |||||||
\(348\) | −0.172535 | + | 0.348929i | −0.00924883 | + | 0.0187045i | ||||
\(349\) | −12.2555 | + | 2.16098i | −0.656022 | + | 0.115674i | −0.491744 | − | 0.870740i | \(-0.663640\pi\) |
−0.164278 | + | 0.986414i | \(0.552529\pi\) | |||||||
\(350\) | −27.2685 | + | 23.4771i | −1.45756 | + | 1.25491i | ||||
\(351\) | 13.7150 | − | 14.2356i | 0.732053 | − | 0.759839i | ||||
\(352\) | 3.22337 | + | 3.22337i | 0.171806 | + | 0.171806i | ||||
\(353\) | −10.4080 | + | 14.8642i | −0.553964 | + | 0.791143i | −0.994292 | − | 0.106694i | \(-0.965973\pi\) |
0.440327 | + | 0.897837i | \(0.354862\pi\) | |||||||
\(354\) | 14.4368 | + | 12.6879i | 0.767307 | + | 0.674356i | ||||
\(355\) | −18.6106 | − | 21.8955i | −0.987747 | − | 1.16209i | ||||
\(356\) | −0.623160 | + | 0.742654i | −0.0330274 | + | 0.0393606i | ||||
\(357\) | 3.32664 | − | 11.3681i | 0.176064 | − | 0.601665i | ||||
\(358\) | 8.77805 | − | 4.09327i | 0.463934 | − | 0.216336i | ||||
\(359\) | −5.27373 | − | 9.13437i | −0.278337 | − | 0.482094i | 0.692635 | − | 0.721289i | \(-0.256450\pi\) |
−0.970972 | + | 0.239195i | \(0.923117\pi\) | |||||||
\(360\) | 9.58577 | + | 14.9076i | 0.505215 | + | 0.785697i | ||||
\(361\) | −8.37292 | + | 14.5023i | −0.440680 | + | 0.763280i | ||||
\(362\) | −1.00543 | + | 11.4921i | −0.0528441 | + | 0.604011i | ||||
\(363\) | −0.879154 | − | 2.00381i | −0.0461436 | − | 0.105173i | ||||
\(364\) | −4.17368 | − | 0.735932i | −0.218760 | − | 0.0385733i | ||||
\(365\) | −0.654041 | − | 0.451806i | −0.0342341 | − | 0.0236486i | ||||
\(366\) | −2.79553 | − | 1.09055i | −0.146125 | − | 0.0570040i | ||||
\(367\) | −3.55196 | − | 0.310757i | −0.185411 | − | 0.0162214i | −0.00592799 | − | 0.999982i | \(-0.501887\pi\) |
−0.179483 | + | 0.983761i | \(0.557443\pi\) | |||||||
\(368\) | 6.38875 | − | 1.71186i | 0.333037 | − | 0.0892369i | ||||
\(369\) | −1.10089 | + | 1.71996i | −0.0573101 | + | 0.0895376i | ||||
\(370\) | −17.8307 | − | 14.7699i | −0.926972 | − | 0.767851i | ||||
\(371\) | 6.56775 | − | 18.0448i | 0.340981 | − | 0.936837i | ||||
\(372\) | 1.00167 | + | 0.293117i | 0.0519340 | + | 0.0151974i | ||||
\(373\) | −25.1438 | + | 2.19980i | −1.30190 | + | 0.113901i | −0.716925 | − | 0.697151i | \(-0.754451\pi\) |
−0.584974 | + | 0.811052i | \(0.698895\pi\) | |||||||
\(374\) | 6.97721 | − | 2.53950i | 0.360783 | − | 0.131314i | ||||
\(375\) | −17.5190 | − | 8.25137i | −0.904677 | − | 0.426099i | ||||
\(376\) | −3.99522 | − | 22.6580i | −0.206038 | − | 1.16850i | ||||
\(377\) | −2.61445 | + | 2.61445i | −0.134651 | + | 0.134651i | ||||
\(378\) | −37.3877 | + | 0.696344i | −1.92302 | + | 0.0358161i | ||||
\(379\) | 27.8698i | 1.43158i | 0.698317 | + | 0.715788i | \(0.253932\pi\) | ||||
−0.698317 | + | 0.715788i | \(0.746068\pi\) | |||||||
\(380\) | 0.392405 | + | 0.669813i | 0.0201299 | + | 0.0343607i | ||||
\(381\) | −10.9026 | − | 32.2307i | −0.558558 | − | 1.65123i | ||||
\(382\) | −12.5620 | − | 5.85775i | −0.642727 | − | 0.299709i | ||||
\(383\) | −3.29980 | − | 37.7169i | −0.168612 | − | 1.92724i | −0.336965 | − | 0.941517i | \(-0.609401\pi\) |
0.168353 | − | 0.985727i | \(-0.446155\pi\) | |||||||
\(384\) | −19.0460 | − | 11.5851i | −0.971936 | − | 0.591202i | ||||
\(385\) | −26.5064 | + | 26.8450i | −1.35089 | + | 1.36815i | ||||
\(386\) | −33.0067 | + | 19.0564i | −1.68000 | + | 0.969947i | ||||
\(387\) | 0.535863 | + | 0.280404i | 0.0272395 | + | 0.0142538i | ||||
\(388\) | 0.385329 | + | 1.43807i | 0.0195621 | + | 0.0730067i | ||||
\(389\) | 2.93798 | − | 2.46526i | 0.148962 | − | 0.124994i | −0.565261 | − | 0.824912i | \(-0.691225\pi\) |
0.714223 | + | 0.699918i | \(0.246780\pi\) | |||||||
\(390\) | −5.34390 | − | 21.3497i | −0.270599 | − | 1.08108i | ||||
\(391\) | 0.369762 | − | 2.09702i | 0.0186997 | − | 0.106051i | ||||
\(392\) | −24.5671 | − | 35.0854i | −1.24082 | − | 1.77208i | ||||
\(393\) | 6.81836 | + | 5.01060i | 0.343941 | + | 0.252751i | ||||
\(394\) | 12.0379 | + | 14.3462i | 0.606459 | + | 0.722749i | ||||
\(395\) | 21.6386 | + | 3.67404i | 1.08876 | + | 0.184861i | ||||
\(396\) | −1.47473 | − | 1.93041i | −0.0741081 | − | 0.0970066i | ||||
\(397\) | 1.16267 | − | 4.33915i | 0.0583528 | − | 0.217776i | −0.930592 | − | 0.366057i | \(-0.880707\pi\) |
0.988945 | + | 0.148281i | \(0.0473742\pi\) | |||||||
\(398\) | −8.78827 | − | 18.8465i | −0.440516 | − | 0.944690i | ||||
\(399\) | 12.5253 | + | 0.286645i | 0.627051 | + | 0.0143502i | ||||
\(400\) | 22.0432 | − | 0.279779i | 1.10216 | − | 0.0139889i | ||||
\(401\) | −3.48616 | − | 9.57816i | −0.174091 | − | 0.478310i | 0.821705 | − | 0.569913i | \(-0.193023\pi\) |
−0.995796 | + | 0.0916029i | \(0.970801\pi\) | |||||||
\(402\) | 33.0108 | − | 22.0063i | 1.64643 | − | 1.09757i | ||||
\(403\) | 8.12063 | + | 5.68612i | 0.404517 | + | 0.283246i | ||||
\(404\) | −1.41471 | −0.0703845 | ||||||||
\(405\) | −8.54308 | − | 18.2213i | −0.424509 | − | 0.905424i | ||||
\(406\) | 6.99435 | 0.347124 | ||||||||
\(407\) | −19.8851 | − | 13.9237i | −0.985667 | − | 0.690172i | ||||
\(408\) | −5.40478 | + | 3.60304i | −0.267576 | + | 0.178377i | ||||
\(409\) | 8.00244 | + | 21.9865i | 0.395695 | + | 1.08716i | 0.964360 | + | 0.264594i | \(0.0852380\pi\) |
−0.568665 | + | 0.822569i | \(0.692540\pi\) | |||||||
\(410\) | 0.973926 | + | 2.05445i | 0.0480988 | + | 0.101462i | ||||
\(411\) | −3.15094 | − | 0.0721099i | −0.155424 | − | 0.00355692i | ||||
\(412\) | 0.736264 | + | 1.57892i | 0.0362731 | + | 0.0777879i | ||||
\(413\) | 9.26327 | − | 34.5710i | 0.455816 | − | 1.70113i | ||||
\(414\) | −6.66677 | + | 0.863260i | −0.327654 | + | 0.0424269i | ||||
\(415\) | 20.7132 | − | 14.7003i | 1.01677 | − | 0.721609i | ||||
\(416\) | 3.18315 | + | 3.79353i | 0.156067 | + | 0.185993i | ||||
\(417\) | −4.02842 | − | 2.96036i | −0.197272 | − | 0.144969i | ||||
\(418\) | 4.50465 | + | 6.43330i | 0.220329 | + | 0.314663i | ||||
\(419\) | 0.258905 | − | 1.46832i | 0.0126483 | − | 0.0717323i | −0.977830 | − | 0.209399i | \(-0.932849\pi\) |
0.990479 | + | 0.137667i | \(0.0439603\pi\) | |||||||
\(420\) | −2.21880 | + | 3.70040i | −0.108267 | + | 0.180561i | ||||
\(421\) | −14.1741 | + | 11.8935i | −0.690802 | + | 0.579652i | −0.919140 | − | 0.393930i | \(-0.871115\pi\) |
0.228338 | + | 0.973582i | \(0.426671\pi\) | |||||||
\(422\) | −7.77666 | − | 29.0229i | −0.378562 | − | 1.41281i | ||||
\(423\) | 1.08396 | + | 26.1020i | 0.0527040 | + | 1.26912i | ||||
\(424\) | −9.11988 | + | 5.26536i | −0.442900 | + | 0.255709i | ||||
\(425\) | 2.91755 | − | 6.46983i | 0.141522 | − | 0.313833i | ||||
\(426\) | −28.4065 | − | 17.2789i | −1.37630 | − | 0.837165i | ||||
\(427\) | 0.487010 | + | 5.56655i | 0.0235681 | + | 0.269384i | ||||
\(428\) | 2.92358 | + | 1.36329i | 0.141316 | + | 0.0658969i | ||||
\(429\) | −7.39383 | − | 21.8579i | −0.356977 | − | 1.05531i | ||||
\(430\) | 0.580994 | − | 0.340371i | 0.0280180 | − | 0.0164141i | ||||
\(431\) | − | 19.2978i | − | 0.929541i | −0.885431 | − | 0.464771i | \(-0.846137\pi\) | ||
0.885431 | − | 0.464771i | \(-0.153863\pi\) | |||||||
\(432\) | 17.8211 | + | 14.3968i | 0.857419 | + | 0.692665i | ||||
\(433\) | −15.0405 | + | 15.0405i | −0.722800 | + | 0.722800i | −0.969175 | − | 0.246375i | \(-0.920761\pi\) |
0.246375 | + | 0.969175i | \(0.420761\pi\) | |||||||
\(434\) | −3.25648 | − | 18.4684i | −0.156316 | − | 0.886512i | ||||
\(435\) | 1.53419 | + | 3.43735i | 0.0735587 | + | 0.164808i | ||||
\(436\) | 0.439055 | − | 0.159803i | 0.0210269 | − | 0.00765317i | ||||
\(437\) | 2.24372 | − | 0.196300i | 0.107332 | − | 0.00939031i | ||||
\(438\) | −0.882735 | − | 0.258314i | −0.0421787 | − | 0.0123427i | ||||
\(439\) | 3.41885 | − | 9.39321i | 0.163173 | − | 0.448314i | −0.830979 | − | 0.556303i | \(-0.812219\pi\) |
0.994152 | + | 0.107990i | \(0.0344414\pi\) | |||||||
\(440\) | 20.5981 | − | 1.93389i | 0.981976 | − | 0.0921944i | ||||
\(441\) | 22.3648 | + | 43.1866i | 1.06499 | + | 2.05650i | ||||
\(442\) | 7.79120 | − | 2.08765i | 0.370590 | − | 0.0992992i | ||||
\(443\) | −30.7678 | − | 2.69183i | −1.46182 | − | 0.127893i | −0.671690 | − | 0.740832i | \(-0.734431\pi\) |
−0.790130 | + | 0.612939i | \(0.789987\pi\) | |||||||
\(444\) | −2.58647 | − | 1.00899i | −0.122748 | − | 0.0478847i | ||||
\(445\) | 1.68650 | + | 9.22201i | 0.0799477 | + | 0.437165i | ||||
\(446\) | 32.2268 | + | 5.68245i | 1.52598 | + | 0.269072i | ||||
\(447\) | 11.4619 | + | 26.1246i | 0.542129 | + | 1.23565i | ||||
\(448\) | −2.88621 | + | 32.9895i | −0.136361 | + | 1.55861i | ||||
\(449\) | −0.854949 | + | 1.48081i | −0.0403475 | + | 0.0698840i | −0.885494 | − | 0.464651i | \(-0.846180\pi\) |
0.845146 | + | 0.534535i | \(0.179513\pi\) | |||||||
\(450\) | −22.2439 | − | 2.68977i | −1.04859 | − | 0.126797i | ||||
\(451\) | 1.19188 | + | 2.06440i | 0.0561235 | + | 0.0972088i | ||||
\(452\) | 0.162838 | − | 0.0759325i | 0.00765925 | − | 0.00357157i | ||||
\(453\) | −1.26356 | + | 4.31795i | −0.0593671 | + | 0.202875i | ||||
\(454\) | 4.75550 | − | 5.66739i | 0.223187 | − | 0.265984i | ||||
\(455\) | −31.2270 | + | 26.5421i | −1.46395 | + | 1.24431i | ||||
\(456\) | −5.16078 | − | 4.53561i | −0.241676 | − | 0.212400i | ||||
\(457\) | 20.8928 | − | 29.8380i | 0.977323 | − | 1.39576i | 0.0597413 | − | 0.998214i | \(-0.480972\pi\) |
0.917582 | − | 0.397548i | \(-0.130139\pi\) | |||||||
\(458\) | 1.15102 | + | 1.15102i | 0.0537835 | + | 0.0537835i | ||||
\(459\) | 6.62542 | − | 3.24103i | 0.309248 | − | 0.151278i | ||||
\(460\) | −0.323336 | + | 0.705044i | −0.0150756 | + | 0.0328728i | ||||
\(461\) | −17.0206 | + | 3.00119i | −0.792728 | + | 0.139779i | −0.555327 | − | 0.831632i | \(-0.687407\pi\) |
−0.237401 | + | 0.971412i | \(0.576296\pi\) | |||||||
\(462\) | −19.3477 | + | 39.1282i | −0.900137 | + | 1.82041i | ||||
\(463\) | −12.1257 | + | 26.0036i | −0.563527 | + | 1.20849i | 0.393724 | + | 0.919229i | \(0.371187\pi\) |
−0.957251 | + | 0.289259i | \(0.906591\pi\) | |||||||
\(464\) | −3.28261 | − | 2.75443i | −0.152391 | − | 0.127871i | ||||
\(465\) | 8.36193 | − | 5.65137i | 0.387775 | − | 0.262076i | ||||
\(466\) | 37.2442 | + | 13.5558i | 1.72530 | + | 0.627959i | ||||
\(467\) | 23.0066 | + | 6.16460i | 1.06462 | + | 0.285264i | 0.748280 | − | 0.663382i | \(-0.230880\pi\) |
0.316339 | + | 0.948646i | \(0.397546\pi\) | |||||||
\(468\) | −1.41319 | − | 2.22872i | −0.0653247 | − | 0.103023i | ||||
\(469\) | −63.9806 | − | 36.9392i | −2.95435 | − | 1.70570i | ||||
\(470\) | 25.2810 | + | 14.3829i | 1.16613 | + | 0.663432i | ||||
\(471\) | 15.4870 | + | 19.3385i | 0.713602 | + | 0.891071i | ||||
\(472\) | −16.0778 | + | 11.2578i | −0.740040 | + | 0.518181i | ||||
\(473\) | 0.578303 | − | 0.404932i | 0.0265904 | − | 0.0186188i | ||||
\(474\) | 25.1036 | − | 3.83646i | 1.15305 | − | 0.176214i | ||||
\(475\) | 7.40883 | + | 1.20963i | 0.339940 | + | 0.0555018i | ||||
\(476\) | −1.36946 | − | 0.790656i | −0.0627689 | − | 0.0362396i | ||||
\(477\) | 11.0569 | − | 4.55236i | 0.506261 | − | 0.208438i | ||||
\(478\) | −2.16738 | − | 0.580749i | −0.0991338 | − | 0.0265628i | ||||
\(479\) | −3.81746 | − | 1.38944i | −0.174424 | − | 0.0634853i | 0.253332 | − | 0.967379i | \(-0.418474\pi\) |
−0.427756 | + | 0.903894i | \(0.640696\pi\) | |||||||
\(480\) | 4.76539 | − | 1.64575i | 0.217509 | − | 0.0751178i | ||||
\(481\) | −20.2014 | − | 16.9510i | −0.921105 | − | 0.772899i | ||||
\(482\) | 2.08101 | − | 4.46274i | 0.0947873 | − | 0.203272i | ||||
\(483\) | 6.94367 | + | 10.4159i | 0.315948 | + | 0.473941i | ||||
\(484\) | −0.287690 | + | 0.0507274i | −0.0130768 | + | 0.00230579i | ||||
\(485\) | 13.0865 | + | 6.00151i | 0.594225 | + | 0.272515i | ||||
\(486\) | −16.0121 | − | 16.9057i | −0.726323 | − | 0.766858i | ||||
\(487\) | −18.4638 | − | 18.4638i | −0.836676 | − | 0.836676i | 0.151744 | − | 0.988420i | \(-0.451511\pi\) |
−0.988420 | + | 0.151744i | \(0.951511\pi\) | |||||||
\(488\) | 1.75763 | − | 2.51015i | 0.0795640 | − | 0.113629i | ||||
\(489\) | 3.84769 | − | 19.2366i | 0.173998 | − | 0.869908i | ||||
\(490\) | 53.9700 | + | 4.37685i | 2.43812 | + | 0.197726i | ||||
\(491\) | −16.4502 | + | 19.6046i | −0.742387 | + | 0.884743i | −0.996599 | − | 0.0824057i | \(-0.973740\pi\) |
0.254211 | + | 0.967149i | \(0.418184\pi\) | |||||||
\(492\) | 0.188315 | + | 0.197136i | 0.00848988 | + | 0.00888757i | ||||
\(493\) | −1.25032 | + | 0.583032i | −0.0563114 | + | 0.0262585i | ||||
\(494\) | 4.26583 | + | 7.38864i | 0.191929 | + | 0.332431i | ||||
\(495\) | −23.4733 | − | 0.925716i | −1.05504 | − | 0.0416079i | ||||
\(496\) | −5.74468 | + | 9.95007i | −0.257944 | + | 0.446771i | ||||
\(497\) | −5.39623 | + | 61.6791i | −0.242054 | + | 2.76669i | ||||
\(498\) | 17.4027 | − | 23.6814i | 0.779836 | − | 1.06119i | ||||
\(499\) | 5.75147 | + | 1.01414i | 0.257471 | + | 0.0453991i | 0.300894 | − | 0.953658i | \(-0.402715\pi\) |
−0.0434226 | + | 0.999057i | \(0.513826\pi\) | |||||||
\(500\) | −1.62377 | + | 2.01169i | −0.0726171 | + | 0.0899657i | ||||
\(501\) | 18.8837 | − | 15.1228i | 0.843662 | − | 0.675635i | ||||
\(502\) | −27.8980 | − | 2.44076i | −1.24515 | − | 0.108936i | ||||
\(503\) | −20.0094 | + | 5.36150i | −0.892174 | + | 0.239057i | −0.675652 | − | 0.737221i | \(-0.736138\pi\) |
−0.216522 | + | 0.976278i | \(0.569471\pi\) | |||||||
\(504\) | 8.34452 | − | 37.2640i | 0.371695 | − | 1.65987i | ||||
\(505\) | −8.72703 | + | 10.5355i | −0.388348 | + | 0.468825i | ||||
\(506\) | −2.68387 | + | 7.37387i | −0.119312 | + | 0.327808i | ||||
\(507\) | −0.603500 | − | 2.47772i | −0.0268024 | − | 0.110040i | ||||
\(508\) | −4.52509 | + | 0.395894i | −0.200769 | + | 0.0175650i | ||||
\(509\) | 7.40545 | − | 2.69536i | 0.328241 | − | 0.119470i | −0.172643 | − | 0.984984i | \(-0.555231\pi\) |
0.500884 | + | 0.865515i | \(0.333008\pi\) | |||||||
\(510\) | 0.850868 | − | 8.16758i | 0.0376771 | − | 0.361666i | ||||
\(511\) | 0.297412 | + | 1.68671i | 0.0131567 | + | 0.0746156i | ||||
\(512\) | 12.4157 | − | 12.4157i | 0.548699 | − | 0.548699i | ||||
\(513\) | 5.12508 | + | 5.88182i | 0.226278 | + | 0.259689i | ||||
\(514\) | − | 30.7328i | − | 1.35556i | ||||||
\(515\) | 16.3003 | + | 4.25697i | 0.718276 | + | 0.187584i | ||||
\(516\) | 0.0533010 | − | 0.0606477i | 0.00234644 | − | 0.00266987i | ||||
\(517\) | 27.6380 | + | 12.8878i | 1.21552 | + | 0.566806i | ||||
\(518\) | 4.34787 | + | 49.6964i | 0.191035 | + | 2.18354i | ||||
\(519\) | −6.14537 | + | 3.36296i | −0.269752 | + | 0.147617i | ||||
\(520\) | 22.4744 | − | 0.142620i | 0.985569 | − | 0.00625432i | ||||
\(521\) | −7.49714 | + | 4.32848i | −0.328456 | + | 0.189634i | −0.655155 | − | 0.755494i | \(-0.727397\pi\) |
0.326700 | + | 0.945128i | \(0.394063\pi\) | |||||||
\(522\) | 2.93556 | + | 3.21733i | 0.128486 | + | 0.140819i | ||||
\(523\) | 3.40449 | + | 12.7057i | 0.148868 | + | 0.555583i | 0.999553 | + | 0.0299067i | \(0.00952102\pi\) |
−0.850685 | + | 0.525676i | \(0.823812\pi\) | |||||||
\(524\) | 0.865339 | − | 0.726106i | 0.0378025 | − | 0.0317201i | ||||
\(525\) | 13.8700 | + | 39.3506i | 0.605338 | + | 1.71740i | ||||
\(526\) | 4.44587 | − | 25.2138i | 0.193849 | − | 1.09937i | ||||
\(527\) | 2.12161 | + | 3.02998i | 0.0924189 | + | 0.131988i | ||||
\(528\) | 24.4893 | − | 10.7445i | 1.06576 | − | 0.467593i | ||||
\(529\) | −13.3376 | − | 15.8951i | −0.579894 | − | 0.691091i | ||||
\(530\) | 2.22852 | − | 13.1250i | 0.0968006 | − | 0.570116i | ||||
\(531\) | 19.7901 | − | 10.2486i | 0.858818 | − | 0.444751i | ||||
\(532\) | 0.432899 | − | 1.61560i | 0.0187686 | − | 0.0700452i | ||||
\(533\) | 1.09440 | + | 2.34695i | 0.0474037 | + | 0.101658i | ||||
\(534\) | 5.20725 | + | 9.51557i | 0.225340 | + | 0.411779i | ||||
\(535\) | 28.1874 | − | 13.3624i | 1.21865 | − | 0.577708i | ||||
\(536\) | 13.8568 | + | 38.0712i | 0.598523 | + | 1.64443i | ||||
\(537\) | −0.722598 | − | 11.2075i | −0.0311824 | − | 0.483640i | ||||
\(538\) | 6.86778 | + | 4.80887i | 0.296091 | + | 0.207325i | ||||
\(539\) | 56.7706 | 2.44528 | ||||||||
\(540\) | −2.63339 | + | 0.532447i | −0.113323 | + | 0.0229129i | ||||
\(541\) | 27.5170 | 1.18305 | 0.591523 | − | 0.806288i | \(-0.298527\pi\) | ||||
0.591523 | + | 0.806288i | \(0.298527\pi\) | |||||||
\(542\) | −19.1892 | − | 13.4364i | −0.824248 | − | 0.577145i | ||||
\(543\) | 11.9907 | + | 5.92906i | 0.514572 | + | 0.254440i | ||||
\(544\) | 0.631962 | + | 1.73630i | 0.0270951 | + | 0.0744433i | ||||
\(545\) | 1.51836 | − | 4.25548i | 0.0650392 | − | 0.182285i | ||||
\(546\) | −24.6429 | + | 40.5128i | −1.05462 | + | 1.73379i | ||||
\(547\) | 13.8936 | + | 29.7950i | 0.594049 | + | 1.27394i | 0.941743 | + | 0.336334i | \(0.109187\pi\) |
−0.347694 | + | 0.937608i | \(0.613035\pi\) | |||||||
\(548\) | −0.108902 | + | 0.406429i | −0.00465208 | + | 0.0173618i | ||||
\(549\) | −2.35615 | + | 2.56032i | −0.100558 | + | 0.109272i | ||||
\(550\) | −14.7285 | + | 21.6132i | −0.628026 | + | 0.921590i | ||||
\(551\) | −0.937961 | − | 1.11782i | −0.0399585 | − | 0.0476207i | ||||
\(552\) | 0.754628 | − | 6.82333i | 0.0321191 | − | 0.290420i | ||||
\(553\) | −27.1242 | − | 38.7374i | −1.15344 | − | 1.64728i | ||||
\(554\) | −6.37122 | + | 36.1330i | −0.270687 | + | 1.53514i | ||||
\(555\) | −23.4694 | + | 13.0375i | −0.996221 | + | 0.553410i | ||||
\(556\) | −0.511259 | + | 0.428997i | −0.0216822 | + | 0.0181935i | ||||
\(557\) | −6.74775 | − | 25.1830i | −0.285911 | − | 1.06704i | −0.948171 | − | 0.317761i | \(-0.897069\pi\) |
0.662259 | − | 0.749275i | \(-0.269598\pi\) | |||||||
\(558\) | 7.12851 | − | 9.24922i | 0.301774 | − | 0.391551i | ||||
\(559\) | 0.664181 | − | 0.383465i | 0.0280919 | − | 0.0162188i | ||||
\(560\) | −33.7986 | − | 33.3723i | −1.42825 | − | 1.41024i | ||||
\(561\) | 0.196982 | − | 8.60737i | 0.00831657 | − | 0.363404i | ||||
\(562\) | −0.0947268 | − | 1.08273i | −0.00399581 | − | 0.0456723i | ||||
\(563\) | −27.4015 | − | 12.7775i | −1.15484 | − | 0.538510i | −0.251676 | − | 0.967811i | \(-0.580982\pi\) |
−0.903161 | + | 0.429302i | \(0.858760\pi\) | |||||||
\(564\) | 3.41993 | + | 0.684052i | 0.144005 | + | 0.0288038i | ||||
\(565\) | 0.439031 | − | 1.68108i | 0.0184702 | − | 0.0707237i | ||||
\(566\) | − | 32.2643i | − | 1.35617i | ||||||
\(567\) | −15.0035 | + | 40.6819i | −0.630087 | + | 1.70848i | ||||
\(568\) | 24.0089 | − | 24.0089i | 1.00739 | − | 1.00739i | ||||
\(569\) | 3.82709 | + | 21.7045i | 0.160440 | + | 0.909901i | 0.953642 | + | 0.300943i | \(0.0973013\pi\) |
−0.793202 | + | 0.608959i | \(0.791588\pi\) | |||||||
\(570\) | 8.57762 | − | 1.36663i | 0.359277 | − | 0.0572420i | ||||
\(571\) | −5.69726 | + | 2.07363i | −0.238423 | + | 0.0867789i | −0.458468 | − | 0.888711i | \(-0.651602\pi\) |
0.220045 | + | 0.975490i | \(0.429380\pi\) | |||||||
\(572\) | −3.06878 | + | 0.268484i | −0.128312 | + | 0.0112259i | ||||
\(573\) | −11.6217 | + | 11.1017i | −0.485503 | + | 0.463778i | ||||
\(574\) | 1.67545 | − | 4.60327i | 0.0699321 | − | 0.192137i | ||||
\(575\) | 3.25596 | + | 6.75718i | 0.135783 | + | 0.281794i | ||||
\(576\) | −16.3862 | + | 12.5182i | −0.682758 | + | 0.521592i | ||||
\(577\) | −15.9120 | + | 4.26360i | −0.662424 | + | 0.177496i | −0.574340 | − | 0.818617i | \(-0.694741\pi\) |
−0.0880841 | + | 0.996113i | \(0.528074\pi\) | |||||||
\(578\) | −22.2986 | − | 1.95088i | −0.927501 | − | 0.0811458i | ||||
\(579\) | 6.67638 | + | 43.6864i | 0.277461 | + | 1.81555i | ||||
\(580\) | 0.494328 | − | 0.0904014i | 0.0205258 | − | 0.00375371i | ||||
\(581\) | −53.8941 | − | 9.50299i | −2.23590 | − | 0.394250i | ||||
\(582\) | 16.5569 | + | 1.83112i | 0.686307 | + | 0.0759023i | ||||
\(583\) | 1.21651 | − | 13.9048i | 0.0503827 | − | 0.575877i | ||||
\(584\) | 0.469626 | − | 0.813416i | 0.0194332 | − | 0.0336594i | ||||
\(585\) | −25.3152 | − | 3.22427i | −1.04665 | − | 0.133307i | ||||
\(586\) | −6.84714 | − | 11.8596i | −0.282853 | − | 0.489916i | ||||
\(587\) | 2.17389 | − | 1.01370i | 0.0897262 | − | 0.0418400i | −0.377237 | − | 0.926117i | \(-0.623126\pi\) |
0.466963 | + | 0.884277i | \(0.345348\pi\) | |||||||
\(588\) | 6.30830 | − | 1.53652i | 0.260150 | − | 0.0633648i | ||||
\(589\) | −2.51487 | + | 2.99711i | −0.103623 | + | 0.123494i | ||||
\(590\) | 2.00568 | − | 24.7316i | 0.0825724 | − | 1.01818i | ||||
\(591\) | 20.5705 | − | 6.95833i | 0.846157 | − | 0.286227i | ||||
\(592\) | 17.5303 | − | 25.0359i | 0.720491 | − | 1.02897i | ||||
\(593\) | 19.8531 | + | 19.8531i | 0.815268 | + | 0.815268i | 0.985418 | − | 0.170150i | \(-0.0544254\pi\) |
−0.170150 | + | 0.985418i | \(0.554425\pi\) | |||||||
\(594\) | −26.1189 | + | 7.52254i | −1.07167 | + | 0.308653i | ||||
\(595\) | −14.3360 | + | 5.32113i | −0.587717 | + | 0.218145i | ||||
\(596\) | 3.75073 | − | 0.661355i | 0.153636 | − | 0.0270902i | ||||
\(597\) | −24.0626 | + | 1.55142i | −0.984817 | + | 0.0634955i | ||||
\(598\) | −3.60265 | + | 7.72592i | −0.147323 | + | 0.315936i | ||||
\(599\) | −12.9672 | − | 10.8807i | −0.529824 | − | 0.444575i | 0.338217 | − | 0.941068i | \(-0.390176\pi\) |
−0.868041 | + | 0.496493i | \(0.834621\pi\) | |||||||
\(600\) | 8.04442 | − | 21.4202i | 0.328412 | − | 0.874476i | ||||
\(601\) | −24.9557 | − | 9.08314i | −1.01796 | − | 0.370509i | −0.221478 | − | 0.975165i | \(-0.571088\pi\) |
−0.796486 | + | 0.604656i | \(0.793310\pi\) | |||||||
\(602\) | −1.40137 | − | 0.375496i | −0.0571155 | − | 0.0153041i | ||||
\(603\) | −9.86129 | − | 44.9340i | −0.401583 | − | 1.82985i | ||||
\(604\) | 0.520160 | + | 0.300315i | 0.0211650 | + | 0.0122196i | ||||
\(605\) | −1.39692 | + | 2.45539i | −0.0567928 | + | 0.0998256i | ||||
\(606\) | −5.75272 | + | 14.7466i | −0.233688 | + | 0.599040i | ||||
\(607\) | 5.34086 | − | 3.73971i | 0.216779 | − | 0.151790i | −0.460144 | − | 0.887844i | \(-0.652202\pi\) |
0.676922 | + | 0.736054i | \(0.263313\pi\) | |||||||
\(608\) | −1.60095 | + | 1.12099i | −0.0649270 | + | 0.0454623i | ||||
\(609\) | 2.94752 | − | 7.55571i | 0.119440 | − | 0.306173i | ||||
\(610\) | 1.02637 | + | 3.73547i | 0.0415563 | + | 0.151245i | ||||
\(611\) | 28.6898 | + | 16.5640i | 1.16066 | + | 0.670109i | ||||
\(612\) | −0.211073 | − | 0.961776i | −0.00853213 | − | 0.0388775i | ||||
\(613\) | 10.5860 | + | 2.83651i | 0.427565 | + | 0.114566i | 0.466183 | − | 0.884688i | \(-0.345629\pi\) |
−0.0386179 | + | 0.999254i | \(0.512296\pi\) | |||||||
\(614\) | 10.1887 | + | 3.70839i | 0.411183 | + | 0.149658i | ||||
\(615\) | 2.62976 | − | 0.186317i | 0.106042 | − | 0.00751302i | ||||
\(616\) | −34.1469 | − | 28.6527i | −1.37582 | − | 1.15445i | ||||
\(617\) | 14.6963 | − | 31.5164i | 0.591652 | − | 1.26880i | −0.351421 | − | 0.936217i | \(-0.614302\pi\) |
0.943073 | − | 0.332585i | \(-0.107921\pi\) | |||||||
\(618\) | 19.4522 | − | 1.25417i | 0.782483 | − | 0.0504501i | ||||
\(619\) | −31.5714 | + | 5.56690i | −1.26896 | + | 0.223753i | −0.767288 | − | 0.641303i | \(-0.778394\pi\) |
−0.501676 | + | 0.865056i | \(0.667283\pi\) | |||||||
\(620\) | −0.468855 | − | 1.26317i | −0.0188297 | − | 0.0507301i | ||||
\(621\) | −1.87693 | + | 7.56563i | −0.0753185 | + | 0.303598i | ||||
\(622\) | −23.9081 | − | 23.9081i | −0.958628 | − | 0.958628i | ||||
\(623\) | 11.5858 | − | 16.5462i | 0.464175 | − | 0.662910i | ||||
\(624\) | 27.5197 | − | 9.30903i | 1.10167 | − | 0.372659i | ||||
\(625\) | 4.96468 | + | 24.5021i | 0.198587 | + | 0.980083i | ||||
\(626\) | 3.96982 | − | 4.73105i | 0.158666 | − | 0.189091i | ||||
\(627\) | 8.84795 | − | 2.15510i | 0.353353 | − | 0.0860663i | ||||
\(628\) | 2.99768 | − | 1.39784i | 0.119620 | − | 0.0557799i | ||||
\(629\) | −4.91980 | − | 8.52135i | −0.196165 | − | 0.339768i | ||||
\(630\) | 29.5496 | + | 38.1754i | 1.17729 | + | 1.52095i | ||||
\(631\) | 22.4076 | − | 38.8111i | 0.892033 | − | 1.54505i | 0.0545987 | − | 0.998508i | \(-0.482612\pi\) |
0.837434 | − | 0.546538i | \(-0.184055\pi\) | |||||||
\(632\) | −2.26024 | + | 25.8347i | −0.0899076 | + | 1.02765i | ||||
\(633\) | −34.6294 | − | 3.82985i | −1.37640 | − | 0.152223i | ||||
\(634\) | −47.3526 | − | 8.34954i | −1.88061 | − | 0.331603i | ||||
\(635\) | −24.9660 | + | 36.1411i | −0.990745 | + | 1.43422i | ||||
\(636\) | −0.241160 | − | 1.57801i | −0.00956262 | − | 0.0625723i | ||||
\(637\) | 61.4373 | + | 5.37507i | 2.43423 | + | 0.212968i | ||||
\(638\) | 4.91073 | − | 1.31583i | 0.194418 | − | 0.0520940i | ||||
\(639\) | −30.6366 | + | 23.4048i | −1.21196 | + | 0.925879i | ||||
\(640\) | 2.69021 | + | 28.6538i | 0.106340 | + | 1.13264i | ||||
\(641\) | −15.6160 | + | 42.9045i | −0.616794 | + | 1.69463i | 0.0979055 | + | 0.995196i | \(0.468786\pi\) |
−0.714699 | + | 0.699432i | \(0.753437\pi\) | |||||||
\(642\) | 26.0989 | − | 24.9311i | 1.03004 | − | 0.983950i | ||||
\(643\) | 36.2904 | − | 3.17500i | 1.43115 | − | 0.125210i | 0.654940 | − | 0.755681i | \(-0.272694\pi\) |
0.776212 | + | 0.630472i | \(0.217138\pi\) | |||||||
\(644\) | 1.57042 | − | 0.571587i | 0.0618833 | − | 0.0225237i | ||||
\(645\) | −0.122850 | − | 0.771061i | −0.00483720 | − | 0.0303605i | ||||
\(646\) | 0.552782 | + | 3.13498i | 0.0217489 | + | 0.123344i | ||||
\(647\) | −32.3432 | + | 32.3432i | −1.27154 | + | 1.27154i | −0.326266 | + | 0.945278i | \(0.605791\pi\) |
−0.945278 | + | 0.326266i | \(0.894209\pi\) | |||||||
\(648\) | 20.6433 | − | 11.8015i | 0.810945 | − | 0.463606i | ||||
\(649\) | − | 26.0149i | − | 1.02118i | ||||||
\(650\) | −17.9856 | + | 21.9954i | −0.705453 | + | 0.862730i | ||||
\(651\) | −21.3230 | − | 4.26501i | −0.835714 | − | 0.167159i | ||||
\(652\) | −2.37361 | − | 1.10683i | −0.0929578 | − | 0.0433469i | ||||
\(653\) | −1.03997 | − | 11.8869i | −0.0406971 | − | 0.465170i | −0.989012 | − | 0.147838i | \(-0.952769\pi\) |
0.948314 | − | 0.317332i | \(-0.102787\pi\) | |||||||
\(654\) | 0.119608 | − | 5.22642i | 0.00467703 | − | 0.204369i | ||||
\(655\) | −0.0693192 | − | 10.9235i | −0.00270852 | − | 0.426815i | ||||
\(656\) | −2.59913 | + | 1.50061i | −0.101479 | + | 0.0585890i | ||||
\(657\) | −0.651043 | + | 0.844725i | −0.0253996 | + | 0.0329559i | ||||
\(658\) | −16.2198 | − | 60.5331i | −0.632314 | − | 2.35983i | ||||
\(659\) | 17.0150 | − | 14.2773i | 0.662811 | − | 0.556165i | −0.248117 | − | 0.968730i | \(-0.579812\pi\) |
0.910928 | + | 0.412565i | \(0.135367\pi\) | |||||||
\(660\) | −0.861676 | + | 3.01546i | −0.0335407 | + | 0.117377i | ||||
\(661\) | −7.45553 | + | 42.2824i | −0.289986 | + | 1.64460i | 0.396923 | + | 0.917852i | \(0.370078\pi\) |
−0.686909 | + | 0.726743i | \(0.741033\pi\) | |||||||
\(662\) | −1.67976 | − | 2.39894i | −0.0652857 | − | 0.0932376i | ||||
\(663\) | 1.02813 | − | 9.29628i | 0.0399291 | − | 0.361038i | ||||
\(664\) | 19.2908 | + | 22.9899i | 0.748629 | + | 0.892181i | ||||
\(665\) | −9.36113 | − | 13.1901i | −0.363009 | − | 0.511491i | ||||
\(666\) | −21.0350 | + | 22.8578i | −0.815090 | + | 0.885721i | ||||
\(667\) | 0.377358 | − | 1.40832i | 0.0146114 | − | 0.0545304i | ||||
\(668\) | −1.36497 | − | 2.92718i | −0.0528122 | − | 0.113256i | ||||
\(669\) | 19.7193 | − | 32.4186i | 0.762393 | − | 1.25337i | ||||
\(670\) | −48.2397 | − | 17.2119i | −1.86366 | − | 0.664955i | ||||
\(671\) | 1.38915 | + | 3.81665i | 0.0536274 | + | 0.147340i | ||||
\(672\) | −9.73718 | − | 4.81474i | −0.375620 | − | 0.185733i | ||||
\(673\) | 35.1820 | + | 24.6347i | 1.35617 | + | 0.949599i | 0.999884 | + | 0.0152212i | \(0.00484525\pi\) |
0.356284 | + | 0.934378i | \(0.384044\pi\) | |||||||
\(674\) | 25.0834 | 0.966176 | ||||||||
\(675\) | −12.2796 | + | 22.8957i | −0.472640 | + | 0.881255i | ||||
\(676\) | −0.340452 | −0.0130943 | ||||||||
\(677\) | 22.0638 | + | 15.4492i | 0.847979 | + | 0.593761i | 0.914756 | − | 0.404007i | \(-0.132383\pi\) |
−0.0667769 | + | 0.997768i | \(0.521272\pi\) | |||||||
\(678\) | −0.129345 | − | 2.00615i | −0.00496748 | − | 0.0770458i | ||||
\(679\) | −10.6093 | − | 29.1489i | −0.407149 | − | 1.11863i | ||||
\(680\) | 7.89817 | + | 2.81807i | 0.302881 | + | 0.108068i | ||||
\(681\) | −4.11821 | − | 7.52549i | −0.157810 | − | 0.288377i | ||||
\(682\) | −5.76078 | − | 12.3540i | −0.220592 | − | 0.473060i | ||||
\(683\) | −4.90923 | + | 18.3215i | −0.187846 | + | 0.701053i | 0.806157 | + | 0.591702i | \(0.201544\pi\) |
−0.994003 | + | 0.109351i | \(0.965123\pi\) | |||||||
\(684\) | 0.924849 | − | 0.478946i | 0.0353625 | − | 0.0183130i | ||||
\(685\) | 2.35493 | + | 3.31818i | 0.0899774 | + | 0.126781i | ||||
\(686\) | −42.6101 | − | 50.7807i | −1.62686 | − | 1.93882i | ||||
\(687\) | 1.72845 | − | 0.758341i | 0.0659445 | − | 0.0289325i | ||||
\(688\) | 0.509820 | + | 0.728099i | 0.0194367 | + | 0.0277585i | ||||
\(689\) | 2.63302 | − | 14.9326i | 0.100310 | − | 0.568887i | ||||
\(690\) | 6.03440 | + | 6.23734i | 0.229726 | + | 0.237451i | ||||
\(691\) | 17.4026 | − | 14.6025i | 0.662025 | − | 0.555505i | −0.248668 | − | 0.968589i | \(-0.579993\pi\) |
0.910693 | + | 0.413084i | \(0.135548\pi\) | |||||||
\(692\) | 0.242055 | + | 0.903362i | 0.00920155 | + | 0.0343407i | ||||
\(693\) | 34.1152 | + | 37.3897i | 1.29593 | + | 1.42032i | ||||
\(694\) | −4.06379 | + | 2.34623i | −0.154259 | + | 0.0890616i | ||||
\(695\) | 0.0409551 | + | 6.45379i | 0.00155351 | + | 0.244806i | ||||
\(696\) | −3.90164 | + | 2.13511i | −0.147891 | + | 0.0809311i | ||||
\(697\) | 0.0842119 | + | 0.962547i | 0.00318975 | + | 0.0364591i | ||||
\(698\) | 16.8472 | + | 7.85598i | 0.637676 | + | 0.297353i | ||||
\(699\) | 30.3390 | − | 34.5207i | 1.14752 | − | 1.30569i | ||||
\(700\) | 5.54236 | − | 0.555856i | 0.209482 | − | 0.0210094i | ||||
\(701\) | − | 28.7752i | − | 1.08682i | −0.839466 | − | 0.543412i | \(-0.817132\pi\) | ||
0.839466 | − | 0.543412i | \(-0.182868\pi\) | |||||||
\(702\) | −28.9782 | + | 5.66797i | −1.09371 | + | 0.213924i | ||||
\(703\) | 7.35929 | − | 7.35929i | 0.277561 | − | 0.277561i | ||||
\(704\) | 4.17981 | + | 23.7049i | 0.157533 | + | 0.893412i | ||||
\(705\) | 26.1910 | − | 21.2489i | 0.986410 | − | 0.800279i | ||||
\(706\) | 25.4704 | − | 9.27048i | 0.958592 | − | 0.348899i | ||||
\(707\) | 29.3639 | − | 2.56901i | 1.10434 | − | 0.0966175i | ||||
\(708\) | −0.704104 | − | 2.89076i | −0.0264618 | − | 0.108641i | ||||
\(709\) | −0.183502 | + | 0.504167i | −0.00689155 | + | 0.0189344i | −0.943091 | − | 0.332536i | \(-0.892096\pi\) |
0.936199 | + | 0.351470i | \(0.114318\pi\) | |||||||
\(710\) | 4.01236 | + | 42.7362i | 0.150581 | + | 1.60386i | ||||
\(711\) | 6.43464 | − | 28.7351i | 0.241318 | − | 1.07765i | ||||
\(712\) | −10.6997 | + | 2.86697i | −0.400988 | + | 0.107444i | ||||
\(713\) | −3.89433 | − | 0.340710i | −0.145844 | − | 0.0127597i | ||||
\(714\) | −13.8103 | + | 11.0598i | −0.516837 | + | 0.413902i | ||||
\(715\) | −16.9312 | + | 24.5098i | −0.633191 | + | 0.916615i | ||||
\(716\) | −1.47655 | − | 0.260356i | −0.0551814 | − | 0.00972997i | ||||
\(717\) | −1.54073 | + | 2.09660i | −0.0575394 | + | 0.0782989i | ||||
\(718\) | −1.37315 | + | 15.6951i | −0.0512453 | + | 0.585737i | ||||
\(719\) | 2.44660 | − | 4.23763i | 0.0912427 | − | 0.158037i | −0.816792 | − | 0.576933i | \(-0.804249\pi\) |
0.908034 | + | 0.418896i | \(0.137583\pi\) | |||||||
\(720\) | 1.16550 | − | 29.5535i | 0.0434357 | − | 1.10139i | ||||
\(721\) | −18.1492 | − | 31.4353i | −0.675911 | − | 1.17071i | ||||
\(722\) | 22.6702 | − | 10.5713i | 0.843697 | − | 0.393422i | ||||
\(723\) | −3.94394 | − | 4.12869i | −0.146677 | − | 0.153548i | ||||
\(724\) | 1.14789 | − | 1.36800i | 0.0426608 | − | 0.0508412i | ||||
\(725\) | 2.37616 | − | 4.23898i | 0.0882485 | − | 0.157432i | ||||
\(726\) | −0.641079 | + | 3.20508i | −0.0237927 | + | 0.118952i | ||||
\(727\) | −2.82025 | + | 4.02773i | −0.104597 | + | 0.149380i | −0.868038 | − | 0.496497i | \(-0.834619\pi\) |
0.763441 | + | 0.645877i | \(0.223508\pi\) | |||||||
\(728\) | −34.2411 | − | 34.2411i | −1.26906 | − | 1.26906i | ||||
\(729\) | −25.0102 | + | 10.1729i | −0.926305 | + | 0.376774i | ||||
\(730\) | 0.413186 | + | 1.11319i | 0.0152927 | + | 0.0412010i | ||||
\(731\) | 0.281810 | − | 0.0496908i | 0.0104231 | − | 0.00183788i | ||||
\(732\) | 0.257660 | + | 0.386505i | 0.00952339 | + | 0.0142857i | ||||
\(733\) | −6.00742 | + | 12.8830i | −0.221889 | + | 0.475843i | −0.985466 | − | 0.169874i | \(-0.945664\pi\) |
0.763576 | + | 0.645717i | \(0.223442\pi\) | |||||||
\(734\) | 4.07991 | + | 3.42345i | 0.150592 | + | 0.126362i | ||||
\(735\) | 27.4719 | − | 56.4571i | 1.01331 | − | 2.08245i | ||||
\(736\) | −1.83501 | − | 0.667889i | −0.0676394 | − | 0.0246187i | ||||
\(737\) | −51.8700 | − | 13.8985i | −1.91066 | − | 0.511959i | ||||
\(738\) | 2.82065 | − | 1.16132i | 0.103830 | − | 0.0427488i | ||||
\(739\) | 28.3320 | + | 16.3575i | 1.04221 | + | 0.601721i | 0.920459 | − | 0.390840i | \(-0.127815\pi\) |
0.121752 | + | 0.992561i | \(0.461149\pi\) | |||||||
\(740\) | 0.949609 | + | 3.45611i | 0.0349083 | + | 0.127049i | ||||
\(741\) | 9.77933 | − | 1.49453i | 0.359253 | − | 0.0549028i | ||||
\(742\) | −23.4964 | + | 16.4524i | −0.862581 | + | 0.603986i | ||||
\(743\) | 0.889212 | − | 0.622633i | 0.0326220 | − | 0.0228422i | −0.557152 | − | 0.830411i | \(-0.688106\pi\) |
0.589774 | + | 0.807569i | \(0.299217\pi\) | |||||||
\(744\) | 7.45425 | + | 9.30809i | 0.273286 | + | 0.341251i | ||||
\(745\) | 18.2122 | − | 32.0119i | 0.667244 | − | 1.17283i | ||||
\(746\) | 32.6505 | + | 18.8508i | 1.19542 | + | 0.690177i | ||||
\(747\) | −18.2483 | − | 28.7792i | −0.667671 | − | 1.05297i | ||||
\(748\) | −1.11024 | − | 0.297487i | −0.0405943 | − | 0.0108772i | ||||
\(749\) | −63.1577 | − | 22.9875i | −2.30773 | − | 0.839946i | ||||
\(750\) | 14.3666 | + | 25.1060i | 0.524594 | + | 0.916743i | ||||
\(751\) | −9.61953 | − | 8.07175i | −0.351022 | − | 0.294542i | 0.450178 | − | 0.892939i | \(-0.351360\pi\) |
−0.801200 | + | 0.598396i | \(0.795805\pi\) | |||||||
\(752\) | −16.2261 | + | 34.7970i | −0.591706 | + | 1.26892i | ||||
\(753\) | −14.3933 | + | 29.1085i | −0.524520 | + | 1.06077i | ||||
\(754\) | 5.43899 | − | 0.959041i | 0.198076 | − | 0.0349262i | ||||
\(755\) | 5.44523 | − | 2.02112i | 0.198172 | − | 0.0735563i | ||||
\(756\) | 4.80282 | + | 3.23138i | 0.174677 | + | 0.117524i | ||||
\(757\) | −3.04376 | − | 3.04376i | −0.110627 | − | 0.110627i | 0.649626 | − | 0.760254i | \(-0.274925\pi\) |
−0.760254 | + | 0.649626i | \(0.774925\pi\) | |||||||
\(758\) | 23.8780 | − | 34.1013i | 0.867288 | − | 1.23862i | ||||
\(759\) | 6.83466 | + | 6.00672i | 0.248083 | + | 0.218030i | ||||
\(760\) | −0.716978 | + | 8.84091i | −0.0260075 | + | 0.320694i | ||||
\(761\) | −11.3467 | + | 13.5225i | −0.411319 | + | 0.490191i | −0.931437 | − | 0.363904i | \(-0.881444\pi\) |
0.520117 | + | 0.854095i | \(0.325888\pi\) | |||||||
\(762\) | −14.2739 | + | 48.7783i | −0.517090 | + | 1.76705i | ||||
\(763\) | −8.82288 | + | 4.11418i | −0.319410 | + | 0.148943i | ||||
\(764\) | 1.07282 | + | 1.85819i | 0.0388134 | + | 0.0672268i | ||||
\(765\) | −8.46453 | − | 4.36109i | −0.306036 | − | 0.157676i | ||||
\(766\) | −28.2771 | + | 48.9773i | −1.02169 | + | 1.76962i | ||||
\(767\) | 2.46311 | − | 28.1535i | 0.0889377 | − | 1.01656i | ||||
\(768\) | 3.81226 | + | 8.68909i | 0.137563 | + | 0.313541i | ||||
\(769\) | 29.6816 | + | 5.23367i | 1.07035 | + | 0.188731i | 0.680943 | − | 0.732336i | \(-0.261570\pi\) |
0.389404 | + | 0.921067i | \(0.372681\pi\) | |||||||
\(770\) | 55.4330 | − | 10.1375i | 1.99767 | − | 0.365328i | ||||
\(771\) | −33.1993 | − | 12.9512i | −1.19564 | − | 0.466427i | ||||
\(772\) | 5.87749 | + | 0.514213i | 0.211535 | + | 0.0185069i | ||||
\(773\) | 43.5713 | − | 11.6749i | 1.56715 | − | 0.419917i | 0.632232 | − | 0.774779i | \(-0.282139\pi\) |
0.934919 | + | 0.354862i | \(0.115472\pi\) | |||||||
\(774\) | −0.415436 | − | 0.802212i | −0.0149326 | − | 0.0288349i | ||||
\(775\) | −12.2992 | − | 4.30058i | −0.441802 | − | 0.154482i | ||||
\(776\) | −5.81811 | + | 15.9851i | −0.208858 | + | 0.573832i | ||||
\(777\) | 55.5172 | + | 16.2459i | 1.99167 | + | 0.582820i | ||||
\(778\) | −5.70705 | + | 0.499302i | −0.204608 | + | 0.0179008i | ||||
\(779\) | −0.960366 | + | 0.349545i | −0.0344087 | + | 0.0125237i | ||||
\(780\) | −1.21801 | + | 3.18176i | −0.0436119 | + | 0.113925i | ||||
\(781\) | 7.81482 | + | 44.3200i | 0.279636 | + | 1.58590i | ||||
\(782\) | −2.24910 | + | 2.24910i | −0.0804277 | + | 0.0804277i | ||||
\(783\) | 4.71263 | − | 1.81534i | 0.168416 | − | 0.0648748i | ||||
\(784\) | 71.4757i | 2.55270i | ||||||||
\(785\) | 8.08211 | − | 30.9471i | 0.288463 | − | 1.10455i | ||||
\(786\) | −4.04997 | − | 11.9727i | −0.144458 | − | 0.427052i | ||||
\(787\) | 31.9138 | + | 14.8817i | 1.13761 | + | 0.530474i | 0.897825 | − | 0.440353i | \(-0.145147\pi\) |
0.239780 | + | 0.970827i | \(0.422925\pi\) | |||||||
\(788\) | −0.252670 | − | 2.88803i | −0.00900100 | − | 0.102882i | ||||
\(789\) | −25.3639 | − | 15.4281i | −0.902978 | − | 0.549256i | ||||
\(790\) | −23.3290 | − | 23.0348i | −0.830010 | − | 0.819542i | ||||
\(791\) | −3.24199 | + | 1.87177i | −0.115272 | + | 0.0665523i | ||||
\(792\) | −1.15169 | − | 27.7329i | −0.0409234 | − | 0.985445i | ||||
\(793\) | 1.14198 | + | 4.26192i | 0.0405528 | + | 0.151345i | ||||
\(794\) | −5.14028 | + | 4.31321i | −0.182422 | + | 0.153070i | ||||
\(795\) | −13.2393 | − | 7.93845i | −0.469550 | − | 0.281548i | ||||
\(796\) | −0.558987 | + | 3.17017i | −0.0198128 | + | 0.112364i | ||||
\(797\) | 19.7333 | + | 28.1820i | 0.698989 | + | 0.998259i | 0.999017 | + | 0.0443290i | \(0.0141150\pi\) |
−0.300028 | + | 0.953930i | \(0.596996\pi\) | |||||||
\(798\) | −15.0803 | − | 11.0821i | −0.533837 | − | 0.392300i | ||||
\(799\) | 7.94536 | + | 9.46891i | 0.281087 | + | 0.334986i | ||||
\(800\) | −5.37851 | − | 3.66524i | −0.190159 | − | 0.129586i | ||||
\(801\) | 12.4737 | − | 1.61518i | 0.440736 | − | 0.0570696i | ||||
\(802\) | −3.94062 | + | 14.7066i | −0.139148 | + | 0.519308i | ||||
\(803\) | 0.526128 | + | 1.12829i | 0.0185667 | + | 0.0398163i | ||||
\(804\) | −6.13993 | − | 0.140514i | −0.216539 | − | 0.00495553i | ||||
\(805\) | 5.43090 | − | 15.2211i | 0.191414 | − | 0.536474i | ||||
\(806\) | −5.06465 | − | 13.9150i | −0.178395 | − | 0.490135i | ||||
\(807\) | 8.08901 | − | 5.39245i | 0.284746 | − | 0.189823i | ||||
\(808\) | −13.2412 | − | 9.27159i | −0.465824 | − | 0.326173i | ||||
\(809\) | −54.0630 | −1.90075 | −0.950377 | − | 0.311100i | \(-0.899302\pi\) | ||||
−0.950377 | + | 0.311100i | \(0.899302\pi\) | |||||||
\(810\) | −5.15819 | + | 29.6149i | −0.181240 | + | 1.04056i | ||||
\(811\) | 24.1241 | 0.847112 | 0.423556 | − | 0.905870i | \(-0.360782\pi\) | ||||
0.423556 | + | 0.905870i | \(0.360782\pi\) | |||||||
\(812\) | −0.886927 | − | 0.621033i | −0.0311250 | − | 0.0217940i | ||||
\(813\) | −22.6014 | + | 15.0670i | −0.792667 | + | 0.528424i | ||||
\(814\) | 12.4019 | + | 34.0739i | 0.434685 | + | 1.19429i | ||||
\(815\) | −22.8850 | + | 10.8488i | −0.801626 | + | 0.380016i | ||||
\(816\) | 10.8369 | + | 0.248005i | 0.379368 | + | 0.00868192i | ||||
\(817\) | 0.127917 | + | 0.274318i | 0.00447523 | + | 0.00959717i | ||||
\(818\) | 9.04564 | − | 33.7588i | 0.316273 | − | 1.18035i | ||||
\(819\) | 33.3795 | + | 43.6933i | 1.16637 | + | 1.52677i | ||||
\(820\) | 0.0589162 | − | 0.346993i | 0.00205744 | − | 0.0121175i | ||||
\(821\) | −5.28957 | − | 6.30386i | −0.184607 | − | 0.220006i | 0.665802 | − | 0.746129i | \(-0.268090\pi\) |
−0.850409 | + | 0.526123i | \(0.823645\pi\) | |||||||
\(822\) | 3.79368 | + | 2.78786i | 0.132320 | + | 0.0972377i | ||||
\(823\) | −1.52906 | − | 2.18373i | −0.0532998 | − | 0.0761200i | 0.791617 | − | 0.611017i | \(-0.209239\pi\) |
−0.844917 | + | 0.534897i | \(0.820350\pi\) | |||||||
\(824\) | −3.45661 | + | 19.6034i | −0.120417 | + | 0.682917i | ||||
\(825\) | 17.1410 | + | 25.0187i | 0.596775 | + | 0.871040i | ||||
\(826\) | −40.9538 | + | 34.3643i | −1.42497 | + | 1.19569i | ||||
\(827\) | 2.00765 | + | 7.49264i | 0.0698128 | + | 0.260545i | 0.992007 | − | 0.126182i | \(-0.0402723\pi\) |
−0.922194 | + | 0.386727i | \(0.873606\pi\) | |||||||
\(828\) | 0.922037 | + | 0.482480i | 0.0320430 | + | 0.0167673i | ||||
\(829\) | 36.4123 | − | 21.0226i | 1.26465 | − | 0.730147i | 0.290680 | − | 0.956820i | \(-0.406118\pi\) |
0.973971 | + | 0.226674i | \(0.0727851\pi\) | |||||||
\(830\) | −37.9392 | + | 0.240758i | −1.31689 | + | 0.00835684i | ||||
\(831\) | 36.3480 | + | 22.1095i | 1.26090 | + | 0.766971i | ||||
\(832\) | 2.27902 | + | 26.0493i | 0.0790106 | + | 0.903096i | ||||
\(833\) | 20.8552 | + | 9.72492i | 0.722588 | + | 0.336948i | ||||
\(834\) | 2.39280 | + | 7.07369i | 0.0828559 | + | 0.244942i | ||||
\(835\) | −30.2192 | − | 7.89203i | −1.04578 | − | 0.273115i | ||||
\(836\) | − | 1.21575i | − | 0.0420477i | ||||||
\(837\) | −6.98749 | − | 11.5984i | −0.241523 | − | 0.400899i | ||||
\(838\) | −1.57481 | + | 1.57481i | −0.0544008 | + | 0.0544008i | ||||
\(839\) | −7.44120 | − | 42.2011i | −0.256899 | − | 1.45694i | −0.791152 | − | 0.611620i | \(-0.790518\pi\) |
0.534253 | − | 0.845325i | \(-0.320593\pi\) | |||||||
\(840\) | −45.0185 | + | 20.0931i | −1.55329 | + | 0.693277i | ||||
\(841\) | 26.3634 | − | 9.59551i | 0.909084 | − | 0.330880i | ||||
\(842\) | 27.5332 | − | 2.40885i | 0.948858 | − | 0.0830143i | ||||
\(843\) | −1.20955 | − | 0.353949i | −0.0416591 | − | 0.0121907i | ||||
\(844\) | −1.59083 | + | 4.37077i | −0.0547587 | + | 0.150448i | ||||
\(845\) | −2.10017 | + | 2.53539i | −0.0722480 | + | 0.0872199i | ||||
\(846\) | 21.0371 | − | 32.8669i | 0.723269 | − | 1.12999i | ||||
\(847\) | 5.87920 | − | 1.57533i | 0.202012 | − | 0.0541289i | ||||
\(848\) | 17.5065 | + | 1.53162i | 0.601175 | + | 0.0525960i | ||||
\(849\) | −34.8538 | − | 13.5966i | −1.19618 | − | 0.466635i | ||||
\(850\) | −9.11303 | + | 5.41677i | −0.312574 | + | 0.185794i | ||||
\(851\) | 10.2410 | + | 1.80577i | 0.351057 | + | 0.0619008i | ||||
\(852\) | 2.06791 | + | 4.71330i | 0.0708456 | + | 0.161475i | ||||
\(853\) | 1.49745 | − | 17.1159i | 0.0512717 | − | 0.586038i | −0.926490 | − | 0.376319i | \(-0.877190\pi\) |
0.977762 | − | 0.209719i | \(-0.0672549\pi\) | |||||||
\(854\) | 4.17334 | − | 7.22844i | 0.142809 | − | 0.247352i | ||||
\(855\) | 2.13841 | − | 9.84197i | 0.0731322 | − | 0.336588i | ||||
\(856\) | 18.4291 | + | 31.9201i | 0.629893 | + | 1.09101i | ||||
\(857\) | 19.2921 | − | 8.99607i | 0.659007 | − | 0.307300i | −0.0641943 | − | 0.997937i | \(-0.520448\pi\) |
0.723201 | + | 0.690637i | \(0.242670\pi\) | |||||||
\(858\) | −9.68017 | + | 33.0800i | −0.330475 | + | 1.12933i | ||||
\(859\) | −5.67148 | + | 6.75901i | −0.193509 | + | 0.230615i | −0.854071 | − | 0.520157i | \(-0.825874\pi\) |
0.660562 | + | 0.750771i | \(0.270318\pi\) | |||||||
\(860\) | −0.103895 | − | 0.00842568i | −0.00354280 | − | 0.000287313i | ||||
\(861\) | −4.26666 | − | 3.74981i | −0.145408 | − | 0.127793i | ||||
\(862\) | −16.5337 | + | 23.6126i | −0.563141 | + | 0.804249i | ||||
\(863\) | 31.7542 | + | 31.7542i | 1.08093 | + | 1.08093i | 0.996423 | + | 0.0845039i | \(0.0269306\pi\) |
0.0845039 | + | 0.996423i | \(0.473069\pi\) | |||||||
\(864\) | −1.87201 | − | 6.49976i | −0.0636870 | − | 0.221126i | ||||
\(865\) | 8.22063 | + | 3.77002i | 0.279510 | + | 0.128184i | ||||
\(866\) | 31.2896 | − | 5.51721i | 1.06327 | − | 0.187482i | ||||
\(867\) | −11.5044 | + | 23.2662i | −0.390710 | + | 0.790160i | ||||
\(868\) | −1.22688 | + | 2.63105i | −0.0416430 | + | 0.0893038i | ||||
\(869\) | −26.3314 | − | 22.0947i | −0.893233 | − | 0.749511i | ||||
\(870\) | 1.06779 | − | 5.52036i | 0.0362015 | − | 0.187158i | ||||
\(871\) | −54.8180 | − | 19.9521i | −1.85744 | − | 0.676052i | ||||
\(872\) | 5.15670 | + | 1.38173i | 0.174628 | + | 0.0467914i | ||||
\(873\) | 8.95541 | − | 17.1141i | 0.303095 | − | 0.579225i | ||||
\(874\) | −2.91359 | − | 1.68216i | −0.0985535 | − | 0.0568999i | ||||
\(875\) | 30.0500 | − | 44.7036i | 1.01588 | − | 1.51126i | ||||
\(876\) | 0.0890004 | + | 0.111134i | 0.00300705 | + | 0.00375488i | ||||
\(877\) | −15.8993 | + | 11.1328i | −0.536880 | + | 0.375928i | −0.810344 | − | 0.585955i | \(-0.800720\pi\) |
0.273464 | + | 0.961882i | \(0.411831\pi\) | |||||||
\(878\) | −12.2311 | + | 8.56430i | −0.412779 | + | 0.289031i | ||||
\(879\) | −15.6969 | + | 2.39888i | −0.529444 | + | 0.0809123i | ||||
\(880\) | −30.0082 | − | 17.0722i | −1.01158 | − | 0.575505i | ||||
\(881\) | −11.7101 | − | 6.76081i | −0.394522 | − | 0.227778i | 0.289595 | − | 0.957149i | \(-0.406479\pi\) |
−0.684118 | + | 0.729372i | \(0.739813\pi\) | |||||||
\(882\) | 9.63555 | − | 72.0042i | 0.324446 | − | 2.42451i | ||||
\(883\) | −30.0253 | − | 8.04527i | −1.01043 | − | 0.270745i | −0.284623 | − | 0.958640i | \(-0.591868\pi\) |
−0.725810 | + | 0.687895i | \(0.758535\pi\) | |||||||
\(884\) | −1.17334 | − | 0.427060i | −0.0394636 | − | 0.0143636i | ||||
\(885\) | −25.8713 | − | 12.5889i | −0.869654 | − | 0.423171i | ||||
\(886\) | 35.3409 | + | 29.6546i | 1.18730 | + | 0.996264i | ||||
\(887\) | 10.0974 | − | 21.6538i | 0.339036 | − | 0.727065i | −0.660686 | − | 0.750663i | \(-0.729734\pi\) |
0.999722 | + | 0.0235979i | \(0.00751215\pi\) | |||||||
\(888\) | −17.5958 | − | 26.3947i | −0.590476 | − | 0.885749i | ||||
\(889\) | 93.2044 | − | 16.4345i | 3.12598 | − | 0.551194i | ||||
\(890\) | 5.83755 | − | 12.7289i | 0.195675 | − | 0.426675i | ||||
\(891\) | −2.88058 | + | 31.3852i | −0.0965030 | + | 1.05145i | ||||
\(892\) | −3.58201 | − | 3.58201i | −0.119934 | − | 0.119934i | ||||
\(893\) | −7.49912 | + | 10.7099i | −0.250949 | + | 0.358392i | ||||
\(894\) | 8.35801 | − | 41.7860i | 0.279534 | − | 1.39753i | ||||
\(895\) | −11.0474 | + | 9.39000i | −0.369275 | + | 0.313873i | ||||
\(896\) | 39.8584 | − | 47.5014i | 1.33158 | − | 1.58691i | ||||
\(897\) | 6.82778 | + | 7.14761i | 0.227973 | + | 0.238652i | ||||
\(898\) | 2.31483 | − | 1.07942i | 0.0772467 | − | 0.0360207i | ||||
\(899\) | 1.26634 | + | 2.19337i | 0.0422349 | + | 0.0731529i | ||||
\(900\) | 2.58184 | + | 2.31613i | 0.0860614 | + | 0.0772044i | ||||
\(901\) | 2.82881 | − | 4.89965i | 0.0942414 | − | 0.163231i | ||||
\(902\) | 0.310336 | − | 3.54715i | 0.0103330 | − | 0.118107i | ||||
\(903\) | −0.996189 | + | 1.35560i | −0.0331511 | + | 0.0451116i | ||||
\(904\) | 2.02174 | + | 0.356488i | 0.0672422 | + | 0.0118566i | ||||
\(905\) | −3.10659 | − | 16.9873i | −0.103267 | − | 0.564677i | ||||
\(906\) | 5.24557 | − | 4.20084i | 0.174272 | − | 0.139563i | ||||
\(907\) | −20.9061 | − | 1.82905i | −0.694175 | − | 0.0607325i | −0.265393 | − | 0.964140i | \(-0.585502\pi\) |
−0.428782 | + | 0.903408i | \(0.641057\pi\) | |||||||
\(908\) | −1.10624 | + | 0.296416i | −0.0367118 | + | 0.00983690i | ||||
\(909\) | 13.5059 | + | 12.4289i | 0.447961 | + | 0.412239i | ||||
\(910\) | 60.9496 | − | 5.72236i | 2.02046 | − | 0.189694i | ||||
\(911\) | −9.46462 | + | 26.0038i | −0.313577 | + | 0.861545i | 0.678351 | + | 0.734738i | \(0.262695\pi\) |
−0.991927 | + | 0.126807i | \(0.959527\pi\) | |||||||
\(912\) | 2.71333 | + | 11.1398i | 0.0898472 | + | 0.368876i | ||||
\(913\) | −39.6268 | + | 3.46689i | −1.31145 | + | 0.114737i | ||||
\(914\) | −51.1285 | + | 18.6093i | −1.69118 | + | 0.615539i | ||||
\(915\) | 4.46780 | + | 0.465439i | 0.147701 | + | 0.0153869i | ||||
\(916\) | −0.0437565 | − | 0.248156i | −0.00144576 | − | 0.00819929i | ||||
\(917\) | −16.6425 | + | 16.6425i | −0.549585 | + | 0.549585i | ||||
\(918\) | −10.8836 | − | 1.71075i | −0.359213 | − | 0.0564632i | ||||
\(919\) | 21.5936i | 0.712307i | 0.934427 | + | 0.356154i | \(0.115912\pi\) | ||||
−0.934427 | + | 0.356154i | \(0.884088\pi\) | |||||||
\(920\) | −7.64695 | + | 4.47991i | −0.252113 | + | 0.147698i | ||||
\(921\) | 8.29969 | − | 9.44368i | 0.273484 | − | 0.311180i | ||||
\(922\) | 23.3976 | + | 10.9105i | 0.770559 | + | 0.359318i | ||||
\(923\) | 4.26098 | + | 48.7032i | 0.140252 | + | 1.60309i | ||||
\(924\) | 5.92763 | − | 3.24380i | 0.195005 | − | 0.106713i | ||||
\(925\) | 31.5960 | + | 14.2481i | 1.03887 | + | 0.468475i | ||||
\(926\) | 37.1159 | − | 21.4289i | 1.21970 | − | 0.704197i | ||||
\(927\) | 6.84261 | − | 21.5419i | 0.224741 | − | 0.707530i | ||||
\(928\) | 0.327447 | + | 1.22205i | 0.0107490 | + | 0.0401158i | ||||
\(929\) | −12.2976 | + | 10.3189i | −0.403472 | + | 0.338553i | −0.821834 | − | 0.569727i | \(-0.807049\pi\) |
0.418362 | + | 0.908280i | \(0.362604\pi\) | |||||||
\(930\) | −15.0735 | − | 0.249269i | −0.494280 | − | 0.00817387i | ||||
\(931\) | −4.22650 | + | 23.9697i | −0.138518 | + | 0.785575i | ||||
\(932\) | −3.51917 | − | 5.02589i | −0.115274 | − | 0.164628i | ||||
\(933\) | −35.9022 | + | 15.7517i | −1.17538 | + | 0.515688i | ||||
\(934\) | −22.8691 | − | 27.2543i | −0.748299 | − | 0.891788i | ||||
\(935\) | −9.06422 | + | 6.43294i | −0.296432 | + | 0.210380i | ||||
\(936\) | 1.37940 | − | 30.1217i | 0.0450872 | − | 0.984557i | ||||
\(937\) | −5.65242 | + | 21.0951i | −0.184657 | + | 0.689148i | 0.810047 | + | 0.586365i | \(0.199441\pi\) |
−0.994704 | + | 0.102783i | \(0.967225\pi\) | |||||||
\(938\) | 46.6379 | + | 100.015i | 1.52278 | + | 3.26561i | ||||
\(939\) | −3.43782 | − | 6.28217i | −0.112189 | − | 0.205011i | ||||
\(940\) | −1.92872 | − | 4.06855i | −0.0629080 | − | 0.132702i | ||||
\(941\) | −4.53610 | − | 12.4628i | −0.147872 | − | 0.406276i | 0.843537 | − | 0.537071i | \(-0.180469\pi\) |
−0.991409 | + | 0.130795i | \(0.958247\pi\) | |||||||
\(942\) | −2.38112 | − | 36.9312i | −0.0775810 | − | 1.20328i | ||||
\(943\) | −0.836480 | − | 0.585710i | −0.0272395 | − | 0.0190733i | ||||
\(944\) | 32.7535 | 1.06604 | ||||||||
\(945\) | 53.6920 | − | 15.8336i | 1.74660 | − | 0.515066i | ||||
\(946\) | −1.05454 | −0.0342861 | ||||||||
\(947\) | −13.5354 | − | 9.47761i | −0.439843 | − | 0.307981i | 0.332597 | − | 0.943069i | \(-0.392075\pi\) |
−0.772440 | + | 0.635088i | \(0.780964\pi\) | |||||||
\(948\) | −3.52393 | − | 1.74248i | −0.114452 | − | 0.0565930i | ||||
\(949\) | 0.462551 | + | 1.27085i | 0.0150150 | + | 0.0412535i | ||||
\(950\) | −8.02901 | − | 7.82776i | −0.260496 | − | 0.253966i | ||||
\(951\) | −28.9747 | + | 47.6344i | −0.939570 | + | 1.54465i | ||||
\(952\) | −7.63591 | − | 16.3753i | −0.247481 | − | 0.530725i | ||||
\(953\) | 1.40298 | − | 5.23599i | 0.0454469 | − | 0.169610i | −0.939472 | − | 0.342625i | \(-0.888684\pi\) |
0.984919 | + | 0.173014i | \(0.0553507\pi\) | |||||||
\(954\) | −17.4295 | − | 3.90297i | −0.564300 | − | 0.126363i | ||||
\(955\) | 20.4561 | + | 3.47327i | 0.661945 | + | 0.112392i | ||||
\(956\) | 0.223273 | + | 0.266086i | 0.00722115 | + | 0.00860583i | ||||
\(957\) | 0.648018 | − | 5.85937i | 0.0209475 | − | 0.189406i | ||||
\(958\) | 3.48059 | + | 4.97080i | 0.112453 | + | 0.160599i | ||||
\(959\) | 1.52234 | − | 8.63365i | 0.0491591 | − | 0.278795i | ||||
\(960\) | 25.5967 | + | 7.31430i | 0.826128 | + | 0.236068i | ||||
\(961\) | −18.5454 | + | 15.5615i | −0.598240 | + | 0.501983i | ||||
\(962\) | 10.1952 | + | 38.0491i | 0.328707 | + | 1.22675i | ||||
\(963\) | −15.9335 | − | 38.6998i | −0.513451 | − | 1.24708i | ||||
\(964\) | −0.660134 | + | 0.381128i | −0.0212615 | + | 0.0122753i | ||||
\(965\) | 40.0863 | − | 40.5983i | 1.29042 | − | 1.30691i | ||||
\(966\) | 0.427816 | − | 18.6940i | 0.0137647 | − | 0.601469i | ||||
\(967\) | −5.15797 | − | 58.9559i | −0.165869 | − | 1.89589i | −0.389204 | − | 0.921152i | \(-0.627250\pi\) |
0.223335 | − | 0.974742i | \(-0.428306\pi\) | |||||||
\(968\) | −3.02513 | − | 1.41064i | −0.0972312 | − | 0.0453397i | ||||
\(969\) | 3.61954 | + | 0.723979i | 0.116276 | + | 0.0232575i | ||||
\(970\) | −10.8706 | − | 18.5555i | −0.349033 | − | 0.595780i | ||||
\(971\) | 27.0614i | 0.868442i | 0.900806 | + | 0.434221i | \(0.142976\pi\) | ||||
−0.900806 | + | 0.434221i | \(0.857024\pi\) | |||||||
\(972\) | 0.529365 | + | 3.56547i | 0.0169794 | + | 0.114362i | ||||
\(973\) | 9.83272 | − | 9.83272i | 0.315222 | − | 0.315222i | ||||
\(974\) | 6.77297 | + | 38.4114i | 0.217020 | + | 1.23078i | ||||
\(975\) | 16.1813 | + | 28.6983i | 0.518217 | + | 0.919080i | ||||
\(976\) | −4.80526 | + | 1.74897i | −0.153813 | + | 0.0559833i | ||||
\(977\) | −16.0579 | + | 1.40489i | −0.513738 | + | 0.0449463i | −0.341078 | − | 0.940035i | \(-0.610792\pi\) |
−0.172661 | + | 0.984981i | \(0.555236\pi\) | |||||||
\(978\) | −21.1893 | + | 20.2412i | −0.677559 | + | 0.647241i | ||||
\(979\) | 5.02158 | − | 13.7967i | 0.160490 | − | 0.440944i | ||||
\(980\) | −6.45511 | − | 5.34704i | −0.206201 | − | 0.170805i | ||||
\(981\) | −5.59548 | − | 2.33169i | −0.178650 | − | 0.0744452i | ||||
\(982\) | 36.9250 | − | 9.89401i | 1.17832 | − | 0.315731i | ||||
\(983\) | −43.1392 | − | 3.77419i | −1.37593 | − | 0.120378i | −0.624929 | − | 0.780682i | \(-0.714872\pi\) |
−0.750999 | + | 0.660304i | \(0.770427\pi\) | |||||||
\(984\) | 0.470591 | + | 3.07928i | 0.0150019 | + | 0.0981638i | ||||
\(985\) | −23.0662 | − | 15.9339i | −0.734950 | − | 0.507697i | ||||
\(986\) | 2.02940 | + | 0.357838i | 0.0646293 | + | 0.0113959i | ||||
\(987\) | −72.2267 | − | 7.98793i | −2.29900 | − | 0.254259i | ||||
\(988\) | 0.115108 | − | 1.31569i | 0.00366208 | − | 0.0418577i | ||||
\(989\) | −0.151213 | + | 0.261908i | −0.00480829 | + | 0.00832820i | ||||
\(990\) | 27.9286 | + | 21.2439i | 0.887629 | + | 0.675174i | ||||
\(991\) | −23.2675 | − | 40.3005i | −0.739117 | − | 1.28019i | −0.952893 | − | 0.303306i | \(-0.901910\pi\) |
0.213776 | − | 0.976883i | \(-0.431424\pi\) | |||||||
\(992\) | 3.07434 | − | 1.43359i | 0.0976103 | − | 0.0455164i | ||||
\(993\) | −3.29935 | + | 0.803625i | −0.104702 | + | 0.0255023i | ||||
\(994\) | 59.4476 | − | 70.8468i | 1.88556 | − | 2.24713i | ||||
\(995\) | 20.1604 | + | 23.7189i | 0.639127 | + | 0.751939i | ||||
\(996\) | −4.30947 | + | 1.45775i | −0.136551 | + | 0.0461906i | ||||
\(997\) | −5.81058 | + | 8.29837i | −0.184023 | + | 0.262812i | −0.900555 | − | 0.434742i | \(-0.856839\pi\) |
0.716532 | + | 0.697554i | \(0.245728\pi\) | |||||||
\(998\) | −6.16857 | − | 6.16857i | −0.195263 | − | 0.195263i | ||||
\(999\) | 15.8279 | + | 32.3558i | 0.500771 | + | 1.02369i |
(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 | 135.2.q.a.122.5 | yes | 192 | |
3.2 | odd | 2 | 405.2.r.a.152.12 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.68.12 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.68.5 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.257.12 | 192 | |||
15.8 | even | 4 | 405.2.r.a.233.12 | 192 | |||
27.2 | odd | 18 | inner | 135.2.q.a.2.5 | ✓ | 192 | |
27.25 | even | 9 | 405.2.r.a.332.12 | 192 | |||
135.2 | even | 36 | 675.2.ba.b.218.12 | 192 | |||
135.29 | odd | 18 | 675.2.ba.b.407.12 | 192 | |||
135.83 | even | 36 | inner | 135.2.q.a.83.5 | yes | 192 | |
135.133 | odd | 36 | 405.2.r.a.8.12 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.5 | ✓ | 192 | 27.2 | odd | 18 | inner | |
135.2.q.a.68.5 | yes | 192 | 5.3 | odd | 4 | inner | |
135.2.q.a.83.5 | yes | 192 | 135.83 | even | 36 | inner | |
135.2.q.a.122.5 | yes | 192 | 1.1 | even | 1 | trivial | |
405.2.r.a.8.12 | 192 | 135.133 | odd | 36 | |||
405.2.r.a.152.12 | 192 | 3.2 | odd | 2 | |||
405.2.r.a.233.12 | 192 | 15.8 | even | 4 | |||
405.2.r.a.332.12 | 192 | 27.25 | even | 9 | |||
675.2.ba.b.68.12 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.218.12 | 192 | 135.2 | even | 36 | |||
675.2.ba.b.257.12 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.407.12 | 192 | 135.29 | odd | 18 |