Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 4.17 | ||
Character | \(\chi\) | \(=\) | 441.4 |
Dual form | 441.2.z.a.331.17 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.101230 | + | 1.35082i | −0.0715802 | + | 0.955171i | 0.839611 | + | 0.543188i | \(0.182783\pi\) |
−0.911191 | + | 0.411983i | \(0.864836\pi\) | |||||||
\(3\) | 1.66963 | + | 0.460807i | 0.963960 | + | 0.266047i | ||||
\(4\) | 0.163204 | + | 0.0245990i | 0.0816020 | + | 0.0122995i | ||||
\(5\) | −0.157203 | + | 0.688750i | −0.0703032 | + | 0.308018i | −0.997838 | − | 0.0657178i | \(-0.979066\pi\) |
0.927535 | + | 0.373736i | \(0.121923\pi\) | |||||||
\(6\) | −0.791482 | + | 2.20871i | −0.323121 | + | 0.901703i | ||||
\(7\) | −1.05230 | + | 2.42748i | −0.397731 | + | 0.917502i | ||||
\(8\) | −0.652605 | + | 2.85925i | −0.230731 | + | 1.01090i | ||||
\(9\) | 2.57531 | + | 1.53875i | 0.858438 | + | 0.512917i | ||||
\(10\) | −0.914461 | − | 0.282074i | −0.289178 | − | 0.0891996i | ||||
\(11\) | 0.648755 | − | 0.312424i | 0.195607 | − | 0.0941994i | −0.333516 | − | 0.942744i | \(-0.608235\pi\) |
0.529123 | + | 0.848545i | \(0.322521\pi\) | |||||||
\(12\) | 0.261155 | + | 0.116277i | 0.0753888 | + | 0.0335662i | ||||
\(13\) | 0.423261 | − | 5.64802i | 0.117391 | − | 1.56648i | −0.558516 | − | 0.829494i | \(-0.688629\pi\) |
0.675908 | − | 0.736986i | \(-0.263752\pi\) | |||||||
\(14\) | −3.17256 | − | 1.66719i | −0.847902 | − | 0.445577i | ||||
\(15\) | −0.579851 | + | 1.07752i | −0.149717 | + | 0.278213i | ||||
\(16\) | −3.48083 | − | 1.07369i | −0.870208 | − | 0.268424i | ||||
\(17\) | −3.00208 | + | 0.452490i | −0.728111 | + | 0.109745i | −0.502629 | − | 0.864502i | \(-0.667634\pi\) |
−0.225482 | + | 0.974247i | \(0.572396\pi\) | |||||||
\(18\) | −2.33927 | + | 3.32301i | −0.551371 | + | 0.783241i | ||||
\(19\) | −1.51916 | − | 2.63126i | −0.348519 | − | 0.603652i | 0.637468 | − | 0.770477i | \(-0.279982\pi\) |
−0.985987 | + | 0.166825i | \(0.946648\pi\) | |||||||
\(20\) | −0.0425987 | + | 0.108540i | −0.00952536 | + | 0.0242702i | ||||
\(21\) | −2.87555 | + | 3.56808i | −0.627496 | + | 0.778620i | ||||
\(22\) | 0.356354 | + | 0.907975i | 0.0759749 | + | 0.193581i | ||||
\(23\) | 2.52069 | − | 3.16085i | 0.525601 | − | 0.659083i | −0.446187 | − | 0.894940i | \(-0.647218\pi\) |
0.971788 | + | 0.235857i | \(0.0757897\pi\) | |||||||
\(24\) | −2.40717 | + | 4.47316i | −0.491362 | + | 0.913080i | ||||
\(25\) | 4.05518 | + | 1.95287i | 0.811036 | + | 0.390574i | ||||
\(26\) | 7.58660 | + | 1.14350i | 1.48785 | + | 0.224258i | ||||
\(27\) | 3.59075 | + | 3.75587i | 0.691040 | + | 0.722817i | ||||
\(28\) | −0.231453 | + | 0.370289i | −0.0437405 | + | 0.0699781i | ||||
\(29\) | −2.04493 | + | 5.21039i | −0.379733 | + | 0.967545i | 0.605426 | + | 0.795902i | \(0.293003\pi\) |
−0.985159 | + | 0.171643i | \(0.945092\pi\) | |||||||
\(30\) | −1.39683 | − | 0.892348i | −0.255025 | − | 0.162920i | ||||
\(31\) | −0.485775 | − | 0.841387i | −0.0872478 | − | 0.151118i | 0.819099 | − | 0.573652i | \(-0.194474\pi\) |
−0.906347 | + | 0.422535i | \(0.861141\pi\) | |||||||
\(32\) | −0.340204 | + | 0.866826i | −0.0601402 | + | 0.153235i | ||||
\(33\) | 1.22715 | − | 0.222681i | 0.213619 | − | 0.0387638i | ||||
\(34\) | −0.307332 | − | 4.10106i | −0.0527070 | − | 0.703326i | ||||
\(35\) | −1.50650 | − | 1.10638i | −0.254646 | − | 0.187012i | ||||
\(36\) | 0.382450 | + | 0.314481i | 0.0637416 | + | 0.0524135i | ||||
\(37\) | 3.51151 | − | 8.94717i | 0.577288 | − | 1.47091i | −0.282001 | − | 0.959414i | \(-0.590998\pi\) |
0.859288 | − | 0.511491i | \(-0.170907\pi\) | |||||||
\(38\) | 3.70813 | − | 1.78574i | 0.601538 | − | 0.289685i | ||||
\(39\) | 3.30934 | − | 9.23505i | 0.529918 | − | 1.47879i | ||||
\(40\) | −1.86672 | − | 0.898964i | −0.295154 | − | 0.142139i | ||||
\(41\) | 4.79107 | + | 4.44546i | 0.748239 | + | 0.694264i | 0.959042 | − | 0.283264i | \(-0.0914173\pi\) |
−0.210803 | + | 0.977529i | \(0.567608\pi\) | |||||||
\(42\) | −4.52874 | − | 4.24553i | −0.698799 | − | 0.655100i | ||||
\(43\) | −2.52454 | + | 2.34243i | −0.384989 | + | 0.357217i | −0.848797 | − | 0.528718i | \(-0.822673\pi\) |
0.463809 | + | 0.885935i | \(0.346482\pi\) | |||||||
\(44\) | 0.113565 | − | 0.0350301i | 0.0171205 | − | 0.00528098i | ||||
\(45\) | −1.46466 | + | 1.53185i | −0.218339 | + | 0.228355i | ||||
\(46\) | 4.01456 | + | 3.72497i | 0.591914 | + | 0.549216i | ||||
\(47\) | 0.261599 | − | 3.49079i | 0.0381581 | − | 0.509184i | −0.945078 | − | 0.326846i | \(-0.894014\pi\) |
0.983236 | − | 0.182338i | \(-0.0583667\pi\) | |||||||
\(48\) | −5.31693 | − | 3.39666i | −0.767432 | − | 0.490266i | ||||
\(49\) | −4.78534 | − | 5.10887i | −0.683620 | − | 0.729839i | ||||
\(50\) | −3.04848 | + | 5.28012i | −0.431120 | + | 0.746721i | ||||
\(51\) | −5.22086 | − | 0.627888i | −0.731067 | − | 0.0879219i | ||||
\(52\) | 0.208014 | − | 0.911368i | 0.0288463 | − | 0.126384i | ||||
\(53\) | 1.90270 | + | 4.84801i | 0.261356 | + | 0.665925i | 0.999966 | − | 0.00820781i | \(-0.00261266\pi\) |
−0.738610 | + | 0.674133i | \(0.764517\pi\) | |||||||
\(54\) | −5.43698 | + | 4.47024i | −0.739879 | + | 0.608322i | ||||
\(55\) | 0.113196 | + | 0.495944i | 0.0152633 | + | 0.0668730i | ||||
\(56\) | −6.25405 | − | 4.59297i | −0.835732 | − | 0.613762i | ||||
\(57\) | −1.32393 | − | 5.09326i | −0.175358 | − | 0.674619i | ||||
\(58\) | −6.83127 | − | 3.28977i | −0.896990 | − | 0.431968i | ||||
\(59\) | −10.2605 | + | 9.52038i | −1.33581 | + | 1.23945i | −0.387587 | + | 0.921833i | \(0.626691\pi\) |
−0.948220 | + | 0.317615i | \(0.897118\pi\) | |||||||
\(60\) | −0.121140 | + | 0.161591i | −0.0156391 | + | 0.0208613i | ||||
\(61\) | 14.3019 | − | 2.15566i | 1.83117 | − | 0.276004i | 0.859288 | − | 0.511492i | \(-0.170907\pi\) |
0.971877 | + | 0.235488i | \(0.0756689\pi\) | |||||||
\(62\) | 1.18573 | − | 0.571020i | 0.150588 | − | 0.0725196i | ||||
\(63\) | −6.44529 | + | 4.63230i | −0.812030 | + | 0.583615i | ||||
\(64\) | −7.70034 | − | 3.70829i | −0.962542 | − | 0.463536i | ||||
\(65\) | 3.82354 | + | 1.17941i | 0.474251 | + | 0.146287i | ||||
\(66\) | 0.176577 | + | 1.68019i | 0.0217352 | + | 0.206817i | ||||
\(67\) | −2.88961 | − | 5.00495i | −0.353022 | − | 0.611452i | 0.633755 | − | 0.773533i | \(-0.281513\pi\) |
−0.986777 | + | 0.162082i | \(0.948179\pi\) | |||||||
\(68\) | −0.501082 | −0.0607651 | ||||||||
\(69\) | 5.66516 | − | 4.11589i | 0.682005 | − | 0.495495i | ||||
\(70\) | 1.64702 | − | 1.92301i | 0.196856 | − | 0.229844i | ||||
\(71\) | 9.13508 | − | 11.4550i | 1.08413 | − | 1.35946i | 0.155770 | − | 0.987793i | \(-0.450214\pi\) |
0.928365 | − | 0.371669i | \(-0.121214\pi\) | |||||||
\(72\) | −6.08034 | + | 6.35927i | −0.716575 | + | 0.749447i | ||||
\(73\) | 9.41342e−5 | 0 | 6.41796e-5i | 1.10176e−5 | 0 | 7.51166e-6i | −0.563315 | − | 0.826243i | \(-0.690474\pi\) |
0.563326 | + | 0.826235i | \(0.309522\pi\) | |||||||
\(74\) | 11.7305 | + | 5.64912i | 1.36364 | + | 0.656697i | ||||
\(75\) | 5.87075 | + | 5.12922i | 0.677895 | + | 0.592272i | ||||
\(76\) | −0.183206 | − | 0.466802i | −0.0210152 | − | 0.0535458i | ||||
\(77\) | 0.0757197 | + | 1.90360i | 0.00862907 | + | 0.216936i | ||||
\(78\) | 12.1399 | + | 5.40517i | 1.37457 | + | 0.612015i | ||||
\(79\) | −0.726742 | + | 1.25875i | −0.0817649 | + | 0.141621i | −0.904008 | − | 0.427515i | \(-0.859389\pi\) |
0.822243 | + | 0.569136i | \(0.192722\pi\) | |||||||
\(80\) | 1.28670 | − | 2.22863i | 0.143858 | − | 0.249169i | ||||
\(81\) | 4.26448 | + | 7.92554i | 0.473831 | + | 0.880616i | ||||
\(82\) | −6.49000 | + | 6.02184i | −0.716701 | + | 0.665001i | ||||
\(83\) | −0.787912 | − | 10.5140i | −0.0864846 | − | 1.15406i | −0.856540 | − | 0.516080i | \(-0.827391\pi\) |
0.770056 | − | 0.637977i | \(-0.220228\pi\) | |||||||
\(84\) | −0.557072 | + | 0.511590i | −0.0607816 | + | 0.0558191i | ||||
\(85\) | 0.160282 | − | 2.13881i | 0.0173850 | − | 0.231987i | ||||
\(86\) | −2.90863 | − | 3.64731i | −0.313646 | − | 0.393300i | ||||
\(87\) | −5.81525 | + | 7.75709i | −0.623460 | + | 0.831648i | ||||
\(88\) | 0.469917 | + | 2.05884i | 0.0500934 | + | 0.219473i | ||||
\(89\) | −0.872843 | − | 11.6473i | −0.0925212 | − | 1.23461i | −0.829428 | − | 0.558614i | \(-0.811333\pi\) |
0.736906 | − | 0.675995i | \(-0.236286\pi\) | |||||||
\(90\) | −1.92098 | − | 2.13356i | −0.202489 | − | 0.224897i | ||||
\(91\) | 13.2651 | + | 6.97086i | 1.39056 | + | 0.730745i | ||||
\(92\) | 0.489141 | − | 0.453857i | 0.0509965 | − | 0.0473178i | ||||
\(93\) | −0.423346 | − | 1.62865i | −0.0438990 | − | 0.168883i | ||||
\(94\) | 4.68893 | + | 0.706743i | 0.483627 | + | 0.0728950i | ||||
\(95\) | 2.05109 | − | 0.632679i | 0.210438 | − | 0.0649115i | ||||
\(96\) | −0.967454 | + | 1.29051i | −0.0987404 | + | 0.131712i | ||||
\(97\) | −5.68835 | − | 9.85252i | −0.577565 | − | 1.00037i | −0.995758 | − | 0.0920134i | \(-0.970670\pi\) |
0.418193 | − | 0.908358i | \(-0.362664\pi\) | |||||||
\(98\) | 7.38556 | − | 5.94694i | 0.746055 | − | 0.600732i | ||||
\(99\) | 2.15149 | + | 0.193684i | 0.216233 | + | 0.0194659i | ||||
\(100\) | 0.613783 | + | 0.418470i | 0.0613783 | + | 0.0418470i | ||||
\(101\) | −0.219978 | + | 0.963788i | −0.0218887 | + | 0.0959005i | −0.984692 | − | 0.174301i | \(-0.944233\pi\) |
0.962804 | + | 0.270202i | \(0.0870904\pi\) | |||||||
\(102\) | 1.37667 | − | 6.98887i | 0.136310 | − | 0.692001i | ||||
\(103\) | 2.65726 | − | 11.6422i | 0.261828 | − | 1.14714i | −0.657440 | − | 0.753507i | \(-0.728361\pi\) |
0.919267 | − | 0.393634i | \(-0.128782\pi\) | |||||||
\(104\) | 15.8729 | + | 4.89614i | 1.55647 | + | 0.480106i | ||||
\(105\) | −2.00547 | − | 2.54145i | −0.195714 | − | 0.248020i | ||||
\(106\) | −6.74138 | + | 2.07944i | −0.654781 | + | 0.201973i | ||||
\(107\) | 0.382444 | + | 5.10336i | 0.0369723 | + | 0.493361i | 0.984697 | + | 0.174273i | \(0.0557575\pi\) |
−0.947725 | + | 0.319088i | \(0.896623\pi\) | |||||||
\(108\) | 0.493634 | + | 0.701301i | 0.0474999 | + | 0.0674828i | ||||
\(109\) | −1.10642 | + | 14.7642i | −0.105976 | + | 1.41415i | 0.650188 | + | 0.759773i | \(0.274690\pi\) |
−0.756164 | + | 0.654382i | \(0.772929\pi\) | |||||||
\(110\) | −0.681388 | + | 0.102703i | −0.0649678 | + | 0.00979232i | ||||
\(111\) | 9.98582 | − | 13.3203i | 0.947813 | − | 1.26431i | ||||
\(112\) | 6.26925 | − | 7.31981i | 0.592388 | − | 0.691657i | ||||
\(113\) | −4.89981 | + | 3.34064i | −0.460936 | + | 0.314261i | −0.771429 | − | 0.636315i | \(-0.780458\pi\) |
0.310494 | + | 0.950575i | \(0.399506\pi\) | |||||||
\(114\) | 7.01408 | − | 1.27279i | 0.656929 | − | 0.119208i | ||||
\(115\) | 1.78078 | + | 2.23302i | 0.166058 | + | 0.208230i | ||||
\(116\) | −0.461911 | + | 0.800053i | −0.0428874 | + | 0.0742831i | ||||
\(117\) | 9.78094 | − | 13.8941i | 0.904248 | − | 1.28451i | ||||
\(118\) | −11.8216 | − | 14.8238i | −1.08827 | − | 1.36464i | ||||
\(119\) | 2.06067 | − | 7.76364i | 0.188901 | − | 0.711692i | ||||
\(120\) | −2.70248 | − | 2.36113i | −0.246701 | − | 0.215541i | ||||
\(121\) | −6.53511 | + | 8.19477i | −0.594101 | + | 0.744979i | ||||
\(122\) | 1.46413 | + | 19.5374i | 0.132556 | + | 1.76883i | ||||
\(123\) | 5.95080 | + | 9.63002i | 0.536566 | + | 0.868310i | ||||
\(124\) | −0.0585831 | − | 0.149267i | −0.00526092 | − | 0.0134046i | ||||
\(125\) | −4.18489 | + | 5.24768i | −0.374308 | + | 0.469367i | ||||
\(126\) | −5.60493 | − | 9.17533i | −0.499327 | − | 0.817404i | ||||
\(127\) | 6.90027 | + | 8.65267i | 0.612300 | + | 0.767800i | 0.987238 | − | 0.159250i | \(-0.0509075\pi\) |
−0.374938 | + | 0.927050i | \(0.622336\pi\) | |||||||
\(128\) | 4.85752 | − | 8.41348i | 0.429348 | − | 0.743653i | ||||
\(129\) | −5.29445 | + | 2.74766i | −0.466150 | + | 0.241918i | ||||
\(130\) | −1.98022 | + | 5.04551i | −0.173676 | + | 0.442520i | ||||
\(131\) | 0.774484 | + | 3.39324i | 0.0676670 | + | 0.296469i | 0.997426 | − | 0.0716995i | \(-0.0228422\pi\) |
−0.929759 | + | 0.368168i | \(0.879985\pi\) | |||||||
\(132\) | 0.205753 | − | 0.00615577i | 0.0179085 | − | 0.000535791i | ||||
\(133\) | 7.98594 | − | 0.918859i | 0.692468 | − | 0.0796752i | ||||
\(134\) | 7.05328 | − | 3.39668i | 0.609311 | − | 0.293429i | ||||
\(135\) | −3.15133 | + | 1.88269i | −0.271223 | + | 0.162037i | ||||
\(136\) | 0.665389 | − | 8.87899i | 0.0570566 | − | 0.761367i | ||||
\(137\) | −2.30773 | − | 10.1108i | −0.197163 | − | 0.863827i | −0.972615 | − | 0.232421i | \(-0.925335\pi\) |
0.775453 | − | 0.631406i | \(-0.217522\pi\) | |||||||
\(138\) | 4.98633 | + | 8.06924i | 0.424464 | + | 0.686900i | ||||
\(139\) | −3.51660 | − | 3.26293i | −0.298274 | − | 0.276758i | 0.516810 | − | 0.856100i | \(-0.327119\pi\) |
−0.815085 | + | 0.579342i | \(0.803310\pi\) | |||||||
\(140\) | −0.218652 | − | 0.217624i | −0.0184794 | − | 0.0183926i | ||||
\(141\) | 2.04535 | − | 5.70777i | 0.172250 | − | 0.480681i | ||||
\(142\) | 14.5489 | + | 13.4994i | 1.22092 | + | 1.13285i | ||||
\(143\) | −1.48998 | − | 3.79642i | −0.124599 | − | 0.317473i | ||||
\(144\) | −7.31208 | − | 8.12124i | −0.609340 | − | 0.676770i | ||||
\(145\) | −3.26719 | − | 2.22753i | −0.271325 | − | 0.184986i | ||||
\(146\) | 7.71657e−5 | 0 | 0.000133655i | 6.38628e−6 | 0 | 1.10614e-5i | ||||
\(147\) | −5.63553 | − | 10.7350i | −0.464811 | − | 0.885410i | ||||
\(148\) | 0.793184 | − | 1.37383i | 0.0651993 | − | 0.112928i | ||||
\(149\) | 8.62426 | − | 4.15322i | 0.706527 | − | 0.340245i | −0.0458775 | − | 0.998947i | \(-0.514608\pi\) |
0.752404 | + | 0.658702i | \(0.228894\pi\) | |||||||
\(150\) | −7.52294 | + | 7.41107i | −0.614245 | + | 0.605111i | ||||
\(151\) | −4.57510 | + | 5.73700i | −0.372317 | + | 0.466870i | −0.932328 | − | 0.361615i | \(-0.882226\pi\) |
0.560011 | + | 0.828485i | \(0.310797\pi\) | |||||||
\(152\) | 8.51484 | − | 2.62648i | 0.690644 | − | 0.213036i | ||||
\(153\) | −8.42756 | − | 3.45415i | −0.681328 | − | 0.279251i | ||||
\(154\) | −2.57908 | − | 0.0904178i | −0.207829 | − | 0.00728607i | ||||
\(155\) | 0.655870 | − | 0.202309i | 0.0526808 | − | 0.0162499i | ||||
\(156\) | 0.767271 | − | 1.42579i | 0.0614308 | − | 0.114155i | ||||
\(157\) | 6.01568 | − | 5.58173i | 0.480103 | − | 0.445471i | −0.402618 | − | 0.915368i | \(-0.631900\pi\) |
0.882721 | + | 0.469897i | \(0.155709\pi\) | |||||||
\(158\) | −1.62678 | − | 1.10912i | −0.129420 | − | 0.0882367i | ||||
\(159\) | 0.942810 | + | 8.97115i | 0.0747697 | + | 0.711458i | ||||
\(160\) | −0.543545 | − | 0.370583i | −0.0429710 | − | 0.0292972i | ||||
\(161\) | 5.02038 | + | 9.44509i | 0.395662 | + | 0.744378i | ||||
\(162\) | −11.1376 | + | 4.95823i | −0.875056 | + | 0.389556i | ||||
\(163\) | −12.3638 | + | 11.4719i | −0.968404 | + | 0.898548i | −0.994876 | − | 0.101102i | \(-0.967763\pi\) |
0.0264717 | + | 0.999650i | \(0.491573\pi\) | |||||||
\(164\) | 0.672568 | + | 0.843373i | 0.0525187 | + | 0.0658564i | ||||
\(165\) | −0.0395393 | + | 0.880203i | −0.00307813 | + | 0.0685237i | ||||
\(166\) | 14.2822 | 1.10851 | ||||||||
\(167\) | −5.48370 | + | 0.826534i | −0.424341 | + | 0.0639591i | −0.357742 | − | 0.933821i | \(-0.616453\pi\) |
−0.0665996 | + | 0.997780i | \(0.521215\pi\) | |||||||
\(168\) | −8.32545 | − | 10.5505i | −0.642323 | − | 0.813986i | ||||
\(169\) | −18.8662 | − | 2.84362i | −1.45125 | − | 0.218740i | ||||
\(170\) | 2.87292 | + | 0.433023i | 0.220343 | + | 0.0332113i | ||||
\(171\) | 0.136547 | − | 9.11392i | 0.0104420 | − | 0.696959i | ||||
\(172\) | −0.469636 | + | 0.320193i | −0.0358094 | + | 0.0244145i | ||||
\(173\) | −4.63740 | − | 11.8159i | −0.352575 | − | 0.898347i | −0.991621 | − | 0.129179i | \(-0.958766\pi\) |
0.639046 | − | 0.769169i | \(-0.279329\pi\) | |||||||
\(174\) | −9.88973 | − | 8.64059i | −0.749739 | − | 0.655041i | ||||
\(175\) | −9.00782 | + | 7.78887i | −0.680927 | + | 0.588784i | ||||
\(176\) | −2.59365 | + | 0.390930i | −0.195504 | + | 0.0294675i | ||||
\(177\) | −21.5183 | + | 11.1674i | −1.61742 | + | 0.839391i | ||||
\(178\) | 15.8217 | 1.18589 | ||||||||
\(179\) | 0.979302 | − | 0.147606i | 0.0731965 | − | 0.0110326i | −0.112342 | − | 0.993670i | \(-0.535835\pi\) |
0.185538 | + | 0.982637i | \(0.440597\pi\) | |||||||
\(180\) | −0.276721 | + | 0.213975i | −0.0206255 | + | 0.0159488i | ||||
\(181\) | 16.0224 | + | 7.71600i | 1.19094 | + | 0.573526i | 0.921080 | − | 0.389374i | \(-0.127309\pi\) |
0.269859 | + | 0.962900i | \(0.413023\pi\) | |||||||
\(182\) | −10.7592 | + | 17.2130i | −0.797523 | + | 1.27591i | ||||
\(183\) | 24.8721 | + | 2.99125i | 1.83860 | + | 0.221119i | ||||
\(184\) | 7.39265 | + | 9.27008i | 0.544993 | + | 0.683400i | ||||
\(185\) | 5.61034 | + | 3.82507i | 0.412481 | + | 0.281225i | ||||
\(186\) | 2.24286 | − | 0.406995i | 0.164455 | − | 0.0298424i | ||||
\(187\) | −1.80624 | + | 1.23148i | −0.132086 | + | 0.0900545i | ||||
\(188\) | 0.128564 | − | 0.563276i | 0.00937650 | − | 0.0410811i | ||||
\(189\) | −12.8958 | + | 4.76418i | −0.938034 | + | 0.346543i | ||||
\(190\) | 0.647001 | + | 2.83470i | 0.0469384 | + | 0.205651i | ||||
\(191\) | 0.420238 | + | 0.389924i | 0.0304074 | + | 0.0282139i | 0.695230 | − | 0.718787i | \(-0.255302\pi\) |
−0.664823 | + | 0.747001i | \(0.731493\pi\) | |||||||
\(192\) | −11.1479 | − | 9.73983i | −0.804530 | − | 0.702912i | ||||
\(193\) | 4.68326 | − | 1.44460i | 0.337109 | − | 0.103984i | −0.121579 | − | 0.992582i | \(-0.538796\pi\) |
0.458688 | + | 0.888597i | \(0.348320\pi\) | |||||||
\(194\) | 13.8848 | − | 6.68655i | 0.996869 | − | 0.480067i | ||||
\(195\) | 5.84041 | + | 3.73108i | 0.418240 | + | 0.267188i | ||||
\(196\) | −0.655313 | − | 0.951503i | −0.0468081 | − | 0.0679645i | ||||
\(197\) | −22.6760 | −1.61560 | −0.807800 | − | 0.589457i | \(-0.799342\pi\) | ||||
−0.807800 | + | 0.589457i | \(0.799342\pi\) | |||||||
\(198\) | −0.479426 | + | 2.88666i | −0.0340713 | + | 0.205146i | ||||
\(199\) | −9.30393 | − | 8.63279i | −0.659538 | − | 0.611962i | 0.277693 | − | 0.960670i | \(-0.410430\pi\) |
−0.937231 | + | 0.348708i | \(0.886621\pi\) | |||||||
\(200\) | −8.23019 | + | 10.3203i | −0.581962 | + | 0.729757i | ||||
\(201\) | −2.51826 | − | 9.68795i | −0.177624 | − | 0.683336i | ||||
\(202\) | −1.27963 | − | 0.394714i | −0.0900346 | − | 0.0277720i | ||||
\(203\) | −10.4963 | − | 10.4469i | −0.736693 | − | 0.733229i | ||||
\(204\) | −0.836620 | − | 0.230902i | −0.0585751 | − | 0.0161664i | ||||
\(205\) | −3.81498 | + | 2.60101i | −0.266450 | + | 0.181662i | ||||
\(206\) | 15.4575 | + | 4.76801i | 1.07698 | + | 0.332203i | ||||
\(207\) | 11.3553 | − | 4.26146i | 0.789251 | − | 0.296192i | ||||
\(208\) | −7.53755 | + | 19.2054i | −0.522635 | + | 1.33165i | ||||
\(209\) | −1.80763 | − | 1.23242i | −0.125036 | − | 0.0852483i | ||||
\(210\) | 3.63604 | − | 2.45176i | 0.250911 | − | 0.169187i | ||||
\(211\) | −9.54217 | + | 6.50574i | −0.656910 | + | 0.447874i | −0.845351 | − | 0.534211i | \(-0.820609\pi\) |
0.188441 | + | 0.982084i | \(0.439656\pi\) | |||||||
\(212\) | 0.191272 | + | 0.838019i | 0.0131366 | + | 0.0575554i | ||||
\(213\) | 20.5307 | − | 14.9161i | 1.40674 | − | 1.02204i | ||||
\(214\) | −6.93242 | −0.473891 | ||||||||
\(215\) | −1.21648 | − | 2.10701i | −0.0829635 | − | 0.143697i | ||||
\(216\) | −13.0823 | + | 7.81575i | −0.890138 | + | 0.531795i | ||||
\(217\) | 2.55363 | − | 0.293820i | 0.173352 | − | 0.0199458i | ||||
\(218\) | −19.8317 | − | 2.98915i | −1.34317 | − | 0.202451i | ||||
\(219\) | 0.000186744 | 0 | 6.37784e-5i | 1.26190e−5 | 0 | 4.30974e-6i | ||||
\(220\) | 0.00627429 | + | 0.0837245i | 0.000423012 | + | 0.00564471i | ||||
\(221\) | 1.28501 | + | 17.1473i | 0.0864394 | + | 1.15345i | ||||
\(222\) | 16.9824 | + | 14.8374i | 1.13979 | + | 0.995823i | ||||
\(223\) | −2.99483 | − | 0.451397i | −0.200548 | − | 0.0302278i | 0.0479998 | − | 0.998847i | \(-0.484715\pi\) |
−0.248548 | + | 0.968620i | \(0.579953\pi\) | |||||||
\(224\) | −1.74621 | − | 1.73800i | −0.116673 | − | 0.116125i | ||||
\(225\) | 7.43838 | + | 11.2692i | 0.495892 | + | 0.751278i | ||||
\(226\) | −4.01658 | − | 6.95692i | −0.267179 | − | 0.462767i | ||||
\(227\) | −21.4446 | −1.42333 | −0.711664 | − | 0.702520i | \(-0.752058\pi\) | ||||
−0.711664 | + | 0.702520i | \(0.752058\pi\) | |||||||
\(228\) | −0.0907806 | − | 0.863808i | −0.00601209 | − | 0.0572071i | ||||
\(229\) | 5.14404 | + | 22.5375i | 0.339928 | + | 1.48932i | 0.799221 | + | 0.601037i | \(0.205246\pi\) |
−0.459293 | + | 0.888285i | \(0.651897\pi\) | |||||||
\(230\) | −3.19667 | + | 2.17945i | −0.210782 | + | 0.143709i | ||||
\(231\) | −0.750770 | + | 3.21320i | −0.0493971 | + | 0.211413i | ||||
\(232\) | −13.5633 | − | 9.24729i | −0.890473 | − | 0.607114i | ||||
\(233\) | 0.467767 | − | 1.19185i | 0.0306444 | − | 0.0780808i | −0.914732 | − | 0.404060i | \(-0.867599\pi\) |
0.945377 | + | 0.325979i | \(0.105694\pi\) | |||||||
\(234\) | 17.7783 | + | 14.6188i | 1.16220 | + | 0.955658i | ||||
\(235\) | 2.36316 | + | 0.728937i | 0.154155 | + | 0.0475506i | ||||
\(236\) | −1.90875 | + | 1.30136i | −0.124249 | + | 0.0847116i | ||||
\(237\) | −1.79343 | + | 1.76676i | −0.116496 | + | 0.114764i | ||||
\(238\) | 10.2787 | + | 3.56950i | 0.666266 | + | 0.231376i | ||||
\(239\) | −26.9698 | − | 8.31907i | −1.74453 | − | 0.538116i | −0.751897 | − | 0.659280i | \(-0.770861\pi\) |
−0.992632 | + | 0.121164i | \(0.961337\pi\) | |||||||
\(240\) | 3.17528 | − | 3.12807i | 0.204964 | − | 0.201916i | ||||
\(241\) | −2.54728 | + | 3.19419i | −0.164085 | + | 0.205756i | −0.857076 | − | 0.515190i | \(-0.827721\pi\) |
0.692991 | + | 0.720946i | \(0.256293\pi\) | |||||||
\(242\) | −10.4081 | − | 9.65729i | −0.669057 | − | 0.620794i | ||||
\(243\) | 3.46795 | + | 15.1978i | 0.222469 | + | 0.974940i | ||||
\(244\) | 2.38715 | 0.152821 | ||||||||
\(245\) | 4.27100 | − | 2.49277i | 0.272864 | − | 0.159257i | ||||
\(246\) | −13.6108 | + | 7.06360i | −0.867792 | + | 0.450358i | ||||
\(247\) | −15.5044 | + | 7.46653i | −0.986521 | + | 0.475084i | ||||
\(248\) | 2.72276 | − | 0.839859i | 0.172895 | − | 0.0533311i | ||||
\(249\) | 3.52938 | − | 17.9175i | 0.223666 | − | 1.13547i | ||||
\(250\) | −6.66502 | − | 6.18423i | −0.421533 | − | 0.391125i | ||||
\(251\) | 4.34694 | + | 19.0452i | 0.274376 | + | 1.20212i | 0.904789 | + | 0.425861i | \(0.140029\pi\) |
−0.630413 | + | 0.776260i | \(0.717114\pi\) | |||||||
\(252\) | −1.16585 | + | 0.597462i | −0.0734415 | + | 0.0376366i | ||||
\(253\) | 0.647787 | − | 2.83814i | 0.0407260 | − | 0.178432i | ||||
\(254\) | −12.3867 | + | 8.44509i | −0.777209 | + | 0.529892i | ||||
\(255\) | 1.25319 | − | 3.49716i | 0.0784779 | − | 0.219001i | ||||
\(256\) | −3.24995 | − | 2.21578i | −0.203122 | − | 0.138486i | ||||
\(257\) | −19.1059 | − | 23.9580i | −1.19179 | − | 1.49446i | −0.825912 | − | 0.563799i | \(-0.809339\pi\) |
−0.365881 | − | 0.930662i | \(-0.619232\pi\) | |||||||
\(258\) | −3.17563 | − | 7.42997i | −0.197706 | − | 0.462570i | ||||
\(259\) | 18.0239 | + | 17.9392i | 1.11995 | + | 1.11469i | ||||
\(260\) | 0.595004 | + | 0.286539i | 0.0369006 | + | 0.0177704i | ||||
\(261\) | −13.2838 | + | 10.2718i | −0.822248 | + | 0.635805i | ||||
\(262\) | −4.66204 | + | 0.702690i | −0.288022 | + | 0.0434123i | ||||
\(263\) | 16.3901 | 1.01066 | 0.505328 | − | 0.862927i | \(-0.331371\pi\) | ||||
0.505328 | + | 0.862927i | \(0.331371\pi\) | |||||||
\(264\) | −0.164142 | + | 3.65404i | −0.0101022 | + | 0.224891i | ||||
\(265\) | −3.63818 | + | 0.548367i | −0.223491 | + | 0.0336859i | ||||
\(266\) | 0.432796 | + | 10.8805i | 0.0265364 | + | 0.667129i | ||||
\(267\) | 3.90982 | − | 19.8488i | 0.239277 | − | 1.21473i | ||||
\(268\) | −0.348479 | − | 0.887909i | −0.0212867 | − | 0.0542377i | ||||
\(269\) | 1.94639 | − | 1.32703i | 0.118673 | − | 0.0809102i | −0.502529 | − | 0.864560i | \(-0.667597\pi\) |
0.621202 | + | 0.783650i | \(0.286645\pi\) | |||||||
\(270\) | −2.22417 | − | 4.44745i | −0.135359 | − | 0.270663i | ||||
\(271\) | −8.84660 | − | 1.33341i | −0.537393 | − | 0.0809989i | −0.125262 | − | 0.992124i | \(-0.539977\pi\) |
−0.412131 | + | 0.911125i | \(0.635215\pi\) | |||||||
\(272\) | 10.9356 | + | 1.64827i | 0.663066 | + | 0.0999411i | ||||
\(273\) | 18.9355 | + | 17.7514i | 1.14603 | + | 1.07436i | ||||
\(274\) | 13.8915 | − | 2.09381i | 0.839216 | − | 0.126491i | ||||
\(275\) | 3.24094 | 0.195436 | ||||||||
\(276\) | 1.02582 | − | 0.532372i | 0.0617474 | − | 0.0320450i | ||||
\(277\) | 11.3262 | + | 14.2027i | 0.680528 | + | 0.853355i | 0.995403 | − | 0.0957779i | \(-0.0305338\pi\) |
−0.314874 | + | 0.949133i | \(0.601962\pi\) | |||||||
\(278\) | 4.76361 | − | 4.41998i | 0.285702 | − | 0.265093i | ||||
\(279\) | 0.0436631 | − | 2.91432i | 0.00261404 | − | 0.174476i | ||||
\(280\) | 4.14656 | − | 3.58545i | 0.247805 | − | 0.214271i | ||||
\(281\) | −4.87728 | − | 3.32527i | −0.290954 | − | 0.198369i | 0.409043 | − | 0.912515i | \(-0.365863\pi\) |
−0.699996 | + | 0.714146i | \(0.746815\pi\) | |||||||
\(282\) | 7.50310 | + | 3.34069i | 0.446803 | + | 0.198935i | ||||
\(283\) | 4.87824 | + | 3.32593i | 0.289981 | + | 0.197706i | 0.699569 | − | 0.714565i | \(-0.253375\pi\) |
−0.409588 | + | 0.912271i | \(0.634328\pi\) | |||||||
\(284\) | 1.77267 | − | 1.64479i | 0.105188 | − | 0.0976005i | ||||
\(285\) | 3.71611 | − | 0.111179i | 0.220123 | − | 0.00658570i | ||||
\(286\) | 5.27910 | − | 1.62839i | 0.312160 | − | 0.0962885i | ||||
\(287\) | −15.8329 | + | 6.95228i | −0.934587 | + | 0.410380i | ||||
\(288\) | −2.20996 | + | 1.70886i | −0.130223 | + | 0.100696i | ||||
\(289\) | −7.43701 | + | 2.29402i | −0.437471 | + | 0.134942i | ||||
\(290\) | 3.33972 | − | 4.18788i | 0.196115 | − | 0.245921i | ||||
\(291\) | −4.95732 | − | 19.0713i | −0.290604 | − | 1.11798i | ||||
\(292\) | 1.69418e−5 | 0 | 8.15876e-6i | 9.91446e−7 | 0 | 4.77455e-7i | ||||
\(293\) | 0.0835193 | − | 0.144660i | 0.00487925 | − | 0.00845111i | −0.863575 | − | 0.504220i | \(-0.831780\pi\) |
0.868455 | + | 0.495768i | \(0.165114\pi\) | |||||||
\(294\) | 15.0715 | − | 6.52586i | 0.878990 | − | 0.380596i | ||||
\(295\) | −4.94418 | − | 8.56357i | −0.287861 | − | 0.498590i | ||||
\(296\) | 23.2906 | + | 15.8792i | 1.35374 | + | 0.922963i | ||||
\(297\) | 3.50294 | + | 1.31480i | 0.203261 | + | 0.0762925i | ||||
\(298\) | 4.73721 | + | 12.0702i | 0.274419 | + | 0.699209i | ||||
\(299\) | −16.7856 | − | 15.5748i | −0.970739 | − | 0.900714i | ||||
\(300\) | 0.831955 | + | 0.981525i | 0.0480330 | + | 0.0566684i | ||||
\(301\) | −3.02964 | − | 8.59321i | −0.174625 | − | 0.495304i | ||||
\(302\) | −7.28650 | − | 6.76088i | −0.419291 | − | 0.389045i | ||||
\(303\) | −0.811402 | + | 1.50780i | −0.0466138 | + | 0.0866208i | ||||
\(304\) | 2.46276 | + | 10.7901i | 0.141249 | + | 0.618853i | ||||
\(305\) | −0.763581 | + | 10.1893i | −0.0437225 | + | 0.583436i | ||||
\(306\) | 5.51904 | − | 11.0344i | 0.315503 | − | 0.630796i | ||||
\(307\) | −3.78605 | + | 1.82327i | −0.216082 | + | 0.104059i | −0.538794 | − | 0.842438i | \(-0.681120\pi\) |
0.322712 | + | 0.946497i | \(0.395405\pi\) | |||||||
\(308\) | −0.0344691 | + | 0.312538i | −0.00196406 | + | 0.0178085i | ||||
\(309\) | 9.80145 | − | 18.2137i | 0.557585 | − | 1.03614i | ||||
\(310\) | 0.206889 | + | 0.906440i | 0.0117505 | + | 0.0514823i | ||||
\(311\) | −8.05713 | + | 20.5292i | −0.456878 | + | 1.16411i | 0.498018 | + | 0.867166i | \(0.334061\pi\) |
−0.954896 | + | 0.296939i | \(0.904034\pi\) | |||||||
\(312\) | 24.2457 | + | 15.4891i | 1.37264 | + | 0.876896i | ||||
\(313\) | 16.2688 | − | 28.1784i | 0.919567 | − | 1.59274i | 0.119494 | − | 0.992835i | \(-0.461873\pi\) |
0.800073 | − | 0.599902i | \(-0.204794\pi\) | |||||||
\(314\) | 6.93093 | + | 8.69111i | 0.391135 | + | 0.490468i | ||||
\(315\) | −2.17728 | − | 5.16740i | −0.122676 | − | 0.291150i | ||||
\(316\) | −0.149571 | + | 0.187557i | −0.00841405 | + | 0.0105509i | ||||
\(317\) | −7.45905 | − | 19.0053i | −0.418942 | − | 1.06745i | −0.972141 | − | 0.234397i | \(-0.924688\pi\) |
0.553199 | − | 0.833049i | \(-0.313407\pi\) | |||||||
\(318\) | −12.2138 | + | 0.365416i | −0.684917 | + | 0.0204915i | ||||
\(319\) | 0.301194 | + | 4.01915i | 0.0168636 | + | 0.225029i | ||||
\(320\) | 3.76460 | − | 4.72065i | 0.210447 | − | 0.263893i | ||||
\(321\) | −1.71313 | + | 8.69695i | −0.0956174 | + | 0.485417i | ||||
\(322\) | −13.2668 | + | 5.82549i | −0.739330 | + | 0.324642i | ||||
\(323\) | 5.75125 | + | 7.21183i | 0.320008 | + | 0.401277i | ||||
\(324\) | 0.501020 | + | 1.39838i | 0.0278344 | + | 0.0776879i | ||||
\(325\) | 12.7463 | − | 22.0772i | 0.707036 | − | 1.22462i | ||||
\(326\) | −14.2448 | − | 17.8625i | −0.788949 | − | 0.989310i | ||||
\(327\) | −8.65077 | + | 24.1409i | −0.478389 | + | 1.33499i | ||||
\(328\) | −15.8374 | + | 10.7977i | −0.874472 | + | 0.596205i | ||||
\(329\) | 8.19855 | + | 4.30838i | 0.452001 | + | 0.237529i | ||||
\(330\) | −1.18499 | − | 0.142513i | −0.0652316 | − | 0.00784508i | ||||
\(331\) | −12.2752 | + | 1.85019i | −0.674706 | + | 0.101696i | −0.477453 | − | 0.878657i | \(-0.658440\pi\) |
−0.197253 | + | 0.980353i | \(0.563202\pi\) | |||||||
\(332\) | 0.130043 | − | 1.73530i | 0.00713703 | − | 0.0952371i | ||||
\(333\) | 22.8107 | − | 17.6384i | 1.25002 | − | 0.966580i | ||||
\(334\) | −0.561383 | − | 7.49114i | −0.0307175 | − | 0.409897i | ||||
\(335\) | 3.90141 | − | 1.20343i | 0.213157 | − | 0.0657502i | ||||
\(336\) | 13.8403 | − | 9.33244i | 0.755052 | − | 0.509126i | ||||
\(337\) | 23.7538 | + | 7.32707i | 1.29395 | + | 0.399131i | 0.863895 | − | 0.503672i | \(-0.168018\pi\) |
0.430055 | + | 0.902803i | \(0.358494\pi\) | |||||||
\(338\) | 5.75104 | − | 25.1969i | 0.312815 | − | 1.37053i | ||||
\(339\) | −9.72025 | + | 3.31975i | −0.527931 | + | 0.180304i | ||||
\(340\) | 0.0787714 | − | 0.345120i | 0.00427198 | − | 0.0187168i | ||||
\(341\) | −0.578018 | − | 0.394086i | −0.0313014 | − | 0.0213410i | ||||
\(342\) | 12.2974 | + | 1.10705i | 0.664968 | + | 0.0598624i | ||||
\(343\) | 17.4373 | − | 6.24026i | 0.941525 | − | 0.336943i | ||||
\(344\) | −5.05007 | − | 8.74697i | −0.272281 | − | 0.471605i | ||||
\(345\) | 1.94424 | + | 4.54891i | 0.104674 | + | 0.244905i | ||||
\(346\) | 16.4306 | − | 5.06816i | 0.883313 | − | 0.272466i | ||||
\(347\) | −30.2256 | − | 4.55578i | −1.62260 | − | 0.244567i | −0.726090 | − | 0.687599i | \(-0.758665\pi\) |
−0.896506 | + | 0.443032i | \(0.853903\pi\) | |||||||
\(348\) | −1.13989 | + | 1.12294i | −0.0611045 | + | 0.0601959i | ||||
\(349\) | 4.15546 | − | 3.85571i | 0.222437 | − | 0.206391i | −0.561080 | − | 0.827761i | \(-0.689614\pi\) |
0.783517 | + | 0.621370i | \(0.213424\pi\) | |||||||
\(350\) | −9.60948 | − | 12.9564i | −0.513648 | − | 0.692548i | ||||
\(351\) | 22.7330 | − | 18.6909i | 1.21340 | − | 0.997647i | ||||
\(352\) | 0.0501081 | + | 0.668646i | 0.00267077 | + | 0.0356389i | ||||
\(353\) | 2.98140 | + | 13.0624i | 0.158684 | + | 0.695240i | 0.990190 | + | 0.139725i | \(0.0446218\pi\) |
−0.831506 | + | 0.555515i | \(0.812521\pi\) | |||||||
\(354\) | −12.9068 | − | 30.1978i | −0.685987 | − | 1.60499i | ||||
\(355\) | 6.45359 | + | 8.09255i | 0.342521 | + | 0.429508i | ||||
\(356\) | 0.144061 | − | 1.92235i | 0.00763519 | − | 0.101885i | ||||
\(357\) | 7.01809 | − | 12.0128i | 0.371437 | − | 0.635786i | ||||
\(358\) | 0.100254 | + | 1.33780i | 0.00529860 | + | 0.0707049i | ||||
\(359\) | 0.967083 | − | 0.897322i | 0.0510407 | − | 0.0473588i | −0.654240 | − | 0.756287i | \(-0.727011\pi\) |
0.705281 | + | 0.708928i | \(0.250821\pi\) | |||||||
\(360\) | −3.42410 | − | 5.18753i | −0.180466 | − | 0.273407i | ||||
\(361\) | 4.88432 | − | 8.45990i | 0.257070 | − | 0.445258i | ||||
\(362\) | −12.0449 | + | 20.8623i | −0.633063 | + | 1.09650i | ||||
\(363\) | −14.6874 | + | 10.6708i | −0.770889 | + | 0.560071i | ||||
\(364\) | 1.99344 | + | 1.46398i | 0.104485 | + | 0.0767335i | ||||
\(365\) | 2.94056e−5 | 0 | 7.49242e-5i | 1.53916e−6 | 0 | 3.92171e-6i | ||||
\(366\) | −6.55843 | + | 33.2949i | −0.342814 | + | 1.74035i | ||||
\(367\) | 12.5753 | + | 6.05596i | 0.656426 | + | 0.316118i | 0.732283 | − | 0.681000i | \(-0.238455\pi\) |
−0.0758566 | + | 0.997119i | \(0.524169\pi\) | |||||||
\(368\) | −12.1679 | + | 8.29593i | −0.634295 | + | 0.432455i | ||||
\(369\) | 5.49804 | + | 18.8207i | 0.286217 | + | 0.979768i | ||||
\(370\) | −5.73490 | + | 7.19133i | −0.298143 | + | 0.373860i | ||||
\(371\) | −13.7707 | − | 0.482773i | −0.714937 | − | 0.0250643i | ||||
\(372\) | −0.0290286 | − | 0.276216i | −0.00150506 | − | 0.0143212i | ||||
\(373\) | −1.64055 | −0.0849442 | −0.0424721 | − | 0.999098i | \(-0.513523\pi\) | ||||
−0.0424721 | + | 0.999098i | \(0.513523\pi\) | |||||||
\(374\) | −1.48065 | − | 2.56457i | −0.0765627 | − | 0.132611i | ||||
\(375\) | −9.40537 | + | 6.83325i | −0.485691 | + | 0.352867i | ||||
\(376\) | 9.81032 | + | 3.02608i | 0.505929 | + | 0.156058i | ||||
\(377\) | 28.5629 | + | 13.7552i | 1.47106 | + | 0.708426i | ||||
\(378\) | −5.13010 | − | 17.9022i | −0.263864 | − | 0.920789i | ||||
\(379\) | 4.14269 | − | 1.99501i | 0.212796 | − | 0.102477i | −0.324450 | − | 0.945903i | \(-0.605179\pi\) |
0.537245 | + | 0.843426i | \(0.319465\pi\) | |||||||
\(380\) | 0.350310 | − | 0.0528007i | 0.0179705 | − | 0.00270862i | ||||
\(381\) | 7.53367 | + | 17.6264i | 0.385962 | + | 0.903029i | ||||
\(382\) | −0.569256 | + | 0.528193i | −0.0291257 | + | 0.0270247i | ||||
\(383\) | −10.9180 | − | 5.25784i | −0.557885 | − | 0.268663i | 0.133623 | − | 0.991032i | \(-0.457339\pi\) |
−0.691508 | + | 0.722369i | \(0.743053\pi\) | |||||||
\(384\) | 11.9872 | − | 11.8090i | 0.611721 | − | 0.602625i | ||||
\(385\) | −1.32301 | − | 0.247100i | −0.0674269 | − | 0.0125934i | ||||
\(386\) | 1.47730 | + | 6.47247i | 0.0751925 | + | 0.329440i | ||||
\(387\) | −10.1059 | + | 2.14785i | −0.513712 | + | 0.109181i | ||||
\(388\) | −0.686000 | − | 1.74790i | −0.0348264 | − | 0.0887361i | ||||
\(389\) | −1.00186 | + | 4.38941i | −0.0507961 | + | 0.222552i | −0.993955 | − | 0.109791i | \(-0.964982\pi\) |
0.943159 | + | 0.332343i | \(0.107839\pi\) | |||||||
\(390\) | −5.63123 | + | 7.51162i | −0.285148 | + | 0.380366i | ||||
\(391\) | −6.13706 | + | 10.6297i | −0.310365 | + | 0.537567i | ||||
\(392\) | 17.7305 | − | 10.3484i | 0.895524 | − | 0.522673i | ||||
\(393\) | −0.270527 | + | 6.02233i | −0.0136463 | + | 0.303786i | ||||
\(394\) | 2.29549 | − | 30.6311i | 0.115645 | − | 1.54317i | ||||
\(395\) | −0.752721 | − | 0.698423i | −0.0378735 | − | 0.0351415i | ||||
\(396\) | 0.346367 | + | 0.0845346i | 0.0174056 | + | 0.00424802i | ||||
\(397\) | −8.20022 | + | 2.52943i | −0.411557 | + | 0.126949i | −0.493618 | − | 0.869679i | \(-0.664326\pi\) |
0.0820610 | + | 0.996627i | \(0.473850\pi\) | |||||||
\(398\) | 12.6031 | − | 11.6940i | 0.631738 | − | 0.586168i | ||||
\(399\) | 13.7570 | + | 2.14582i | 0.688709 | + | 0.107425i | ||||
\(400\) | −12.0186 | − | 11.1516i | −0.600931 | − | 0.557582i | ||||
\(401\) | 27.2590 | + | 13.1273i | 1.36125 | + | 0.655544i | 0.964915 | − | 0.262562i | \(-0.0845675\pi\) |
0.396335 | + | 0.918106i | \(0.370282\pi\) | |||||||
\(402\) | 13.3416 | − | 2.42099i | 0.665417 | − | 0.120748i | ||||
\(403\) | −4.95778 | + | 2.38754i | −0.246965 | + | 0.118932i | ||||
\(404\) | −0.0596096 | + | 0.151883i | −0.00296569 | + | 0.00755645i | ||||
\(405\) | −6.12910 | + | 1.69125i | −0.304558 | + | 0.0840387i | ||||
\(406\) | 15.1744 | − | 13.1210i | 0.753092 | − | 0.651183i | ||||
\(407\) | −0.517203 | − | 6.90160i | −0.0256368 | − | 0.342100i | ||||
\(408\) | 5.20245 | − | 14.5180i | 0.257560 | − | 0.718748i | ||||
\(409\) | −7.07509 | + | 18.0270i | −0.349841 | + | 0.891380i | 0.642323 | + | 0.766434i | \(0.277971\pi\) |
−0.992164 | + | 0.124946i | \(0.960124\pi\) | |||||||
\(410\) | −3.12730 | − | 5.41664i | −0.154446 | − | 0.267509i | ||||
\(411\) | 0.806089 | − | 17.9447i | 0.0397615 | − | 0.885149i | ||||
\(412\) | 0.720063 | − | 1.83469i | 0.0354749 | − | 0.0903887i | ||||
\(413\) | −12.3134 | − | 34.9255i | −0.605903 | − | 1.71857i | ||||
\(414\) | 4.60695 | + | 15.7704i | 0.226419 | + | 0.775071i | ||||
\(415\) | 7.36535 | + | 1.11015i | 0.361551 | + | 0.0544950i | ||||
\(416\) | 4.75186 | + | 2.28837i | 0.232979 | + | 0.112197i | ||||
\(417\) | −4.36784 | − | 7.06836i | −0.213894 | − | 0.346139i | ||||
\(418\) | 1.84776 | − | 2.31702i | 0.0903768 | − | 0.113329i | ||||
\(419\) | 6.62482 | + | 16.8798i | 0.323644 | + | 0.824631i | 0.996401 | + | 0.0847675i | \(0.0270148\pi\) |
−0.672757 | + | 0.739864i | \(0.734890\pi\) | |||||||
\(420\) | −0.264784 | − | 0.464107i | −0.0129202 | − | 0.0226461i | ||||
\(421\) | 2.05663 | − | 5.24022i | 0.100234 | − | 0.255393i | −0.871956 | − | 0.489583i | \(-0.837149\pi\) |
0.972191 | + | 0.234191i | \(0.0752441\pi\) | |||||||
\(422\) | −7.82211 | − | 13.5483i | −0.380774 | − | 0.659521i | ||||
\(423\) | 6.04516 | − | 8.58734i | 0.293926 | − | 0.417531i | ||||
\(424\) | −15.1034 | + | 2.27647i | −0.733486 | + | 0.110555i | ||||
\(425\) | −13.0576 | − | 4.02774i | −0.633388 | − | 0.195374i | ||||
\(426\) | 18.0706 | + | 29.2432i | 0.875525 | + | 1.41684i | ||||
\(427\) | −9.81700 | + | 36.9859i | −0.475078 | + | 1.78987i | ||||
\(428\) | −0.0631215 | + | 0.842297i | −0.00305109 | + | 0.0407140i | ||||
\(429\) | −0.738304 | − | 7.02520i | −0.0356456 | − | 0.339180i | ||||
\(430\) | 2.96933 | − | 1.42995i | 0.143194 | − | 0.0689585i | ||||
\(431\) | 7.55608 | + | 2.33074i | 0.363963 | + | 0.112268i | 0.471342 | − | 0.881950i | \(-0.343770\pi\) |
−0.107379 | + | 0.994218i | \(0.534246\pi\) | |||||||
\(432\) | −8.46613 | − | 16.9289i | −0.407327 | − | 0.814492i | ||||
\(433\) | 5.06897 | − | 22.2086i | 0.243599 | − | 1.06728i | −0.694113 | − | 0.719866i | \(-0.744203\pi\) |
0.937713 | − | 0.347412i | \(-0.112939\pi\) | |||||||
\(434\) | 0.138394 | + | 3.47923i | 0.00664310 | + | 0.167008i | ||||
\(435\) | −4.42853 | − | 5.22469i | −0.212332 | − | 0.250505i | ||||
\(436\) | −0.543759 | + | 2.38236i | −0.0260413 | + | 0.114094i | ||||
\(437\) | −12.1463 | − | 1.83077i | −0.581038 | − | 0.0875774i | ||||
\(438\) | 6.72489e−5 | 0 | 0.000258713i | 3.21328e−6 | 0 | 1.23618e-5i | ||||
\(439\) | −0.651335 | + | 8.69147i | −0.0310865 | + | 0.414821i | 0.959852 | + | 0.280506i | \(0.0905024\pi\) |
−0.990939 | + | 0.134315i | \(0.957117\pi\) | |||||||
\(440\) | −1.49190 | −0.0711236 | ||||||||
\(441\) | −4.46246 | − | 20.5204i | −0.212498 | − | 0.977161i | ||||
\(442\) | −23.2930 | −1.10793 | ||||||||
\(443\) | −2.59425 | + | 34.6179i | −0.123257 | + | 1.64474i | 0.502392 | + | 0.864640i | \(0.332453\pi\) |
−0.625649 | + | 0.780105i | \(0.715166\pi\) | |||||||
\(444\) | 1.95739 | − | 1.92829i | 0.0928938 | − | 0.0915125i | ||||
\(445\) | 8.15928 | + | 1.22981i | 0.386787 | + | 0.0582987i | ||||
\(446\) | 0.912920 | − | 3.99977i | 0.0432280 | − | 0.189394i | ||||
\(447\) | 16.3131 | − | 2.96022i | 0.771585 | − | 0.140014i | ||||
\(448\) | 17.1049 | − | 14.7902i | 0.808128 | − | 0.698772i | ||||
\(449\) | −0.574996 | + | 2.51922i | −0.0271357 | + | 0.118889i | −0.986682 | − | 0.162662i | \(-0.947992\pi\) |
0.959546 | + | 0.281552i | \(0.0908491\pi\) | |||||||
\(450\) | −15.9756 | + | 8.90711i | −0.753096 | + | 0.419885i | ||||
\(451\) | 4.49710 | + | 1.38717i | 0.211760 | + | 0.0653193i | ||||
\(452\) | −0.881845 | + | 0.424674i | −0.0414785 | + | 0.0199750i | ||||
\(453\) | −10.2824 | + | 7.47041i | −0.483108 | + | 0.350991i | ||||
\(454\) | 2.17083 | − | 28.9677i | 0.101882 | − | 1.35952i | ||||
\(455\) | −6.88649 | + | 8.04048i | −0.322843 | + | 0.376944i | ||||
\(456\) | 15.4269 | − | 0.461547i | 0.722431 | − | 0.0216139i | ||||
\(457\) | −25.5142 | − | 7.87008i | −1.19350 | − | 0.368147i | −0.366539 | − | 0.930403i | \(-0.619457\pi\) |
−0.826963 | + | 0.562256i | \(0.809934\pi\) | |||||||
\(458\) | −30.9648 | + | 4.66719i | −1.44689 | + | 0.218084i | ||||
\(459\) | −12.4792 | − | 9.65062i | −0.582479 | − | 0.450453i | ||||
\(460\) | 0.235699 | + | 0.408243i | 0.0109895 | + | 0.0190345i | ||||
\(461\) | 8.81547 | − | 22.4614i | 0.410577 | − | 1.04613i | −0.564729 | − | 0.825277i | \(-0.691019\pi\) |
0.975306 | − | 0.220857i | \(-0.0708855\pi\) | |||||||
\(462\) | −4.26445 | − | 1.33942i | −0.198400 | − | 0.0623157i | ||||
\(463\) | 14.1713 | + | 36.1078i | 0.658595 | + | 1.67807i | 0.732465 | + | 0.680805i | \(0.238370\pi\) |
−0.0738699 | + | 0.997268i | \(0.523535\pi\) | |||||||
\(464\) | 12.7124 | − | 15.9409i | 0.590159 | − | 0.740036i | ||||
\(465\) | 1.18828 | − | 0.0355514i | 0.0551054 | − | 0.00164866i | ||||
\(466\) | 1.56262 | + | 0.752518i | 0.0723870 | + | 0.0348597i | ||||
\(467\) | −10.0845 | − | 1.51999i | −0.466654 | − | 0.0703368i | −0.0884935 | − | 0.996077i | \(-0.528205\pi\) |
−0.378161 | + | 0.925740i | \(0.623443\pi\) | |||||||
\(468\) | 1.93807 | − | 2.02698i | 0.0895874 | − | 0.0936971i | ||||
\(469\) | 15.1902 | − | 1.74777i | 0.701416 | − | 0.0807047i | ||||
\(470\) | −1.22388 | + | 3.11840i | −0.0564535 | + | 0.143841i | ||||
\(471\) | 12.6160 | − | 6.54735i | 0.581317 | − | 0.301686i | ||||
\(472\) | −20.5251 | − | 35.5505i | −0.944743 | − | 1.63634i | ||||
\(473\) | −0.905976 | + | 2.30839i | −0.0416568 | + | 0.106140i | ||||
\(474\) | −2.20502 | − | 2.60145i | −0.101280 | − | 0.119488i | ||||
\(475\) | −1.02195 | − | 13.6369i | −0.0468902 | − | 0.625706i | ||||
\(476\) | 0.527288 | − | 1.21637i | 0.0241682 | − | 0.0557521i | ||||
\(477\) | −2.55983 | + | 15.4129i | −0.117206 | + | 0.705710i | ||||
\(478\) | 13.9677 | − | 35.5891i | 0.638867 | − | 1.62781i | ||||
\(479\) | 7.49730 | − | 3.61051i | 0.342561 | − | 0.164968i | −0.254691 | − | 0.967023i | \(-0.581974\pi\) |
0.597251 | + | 0.802054i | \(0.296259\pi\) | |||||||
\(480\) | −0.736751 | − | 0.869205i | −0.0336279 | − | 0.0396736i | ||||
\(481\) | −49.0475 | − | 23.6200i | −2.23638 | − | 1.07698i | ||||
\(482\) | −4.05691 | − | 3.76426i | −0.184787 | − | 0.171457i | ||||
\(483\) | 4.02981 | + | 18.0832i | 0.183363 | + | 0.822815i | ||||
\(484\) | −1.26814 | + | 1.17666i | −0.0576427 | + | 0.0534847i | ||||
\(485\) | 7.68014 | − | 2.36901i | 0.348737 | − | 0.107571i | ||||
\(486\) | −20.8805 | + | 3.14610i | −0.947159 | + | 0.142710i | ||||
\(487\) | 14.9776 | + | 13.8972i | 0.678700 | + | 0.629742i | 0.942253 | − | 0.334903i | \(-0.108704\pi\) |
−0.263552 | + | 0.964645i | \(0.584894\pi\) | |||||||
\(488\) | −3.16990 | + | 42.2994i | −0.143495 | + | 1.91480i | ||||
\(489\) | −25.9292 | + | 13.4565i | −1.17256 | + | 0.608523i | ||||
\(490\) | 2.93493 | + | 6.02168i | 0.132586 | + | 0.272032i | ||||
\(491\) | −4.05274 | + | 7.01956i | −0.182898 | + | 0.316788i | −0.942866 | − | 0.333172i | \(-0.891881\pi\) |
0.759968 | + | 0.649960i | \(0.225214\pi\) | |||||||
\(492\) | 0.734305 | + | 1.71804i | 0.0331050 | + | 0.0774553i | ||||
\(493\) | 3.78138 | − | 16.5673i | 0.170305 | − | 0.746154i | ||||
\(494\) | −8.51640 | − | 21.6994i | −0.383171 | − | 0.976304i | ||||
\(495\) | −0.471620 | + | 1.45139i | −0.0211977 | + | 0.0652352i | ||||
\(496\) | 0.787508 | + | 3.45030i | 0.0353602 | + | 0.154923i | ||||
\(497\) | 18.1941 | + | 34.2294i | 0.816115 | + | 1.53540i | ||||
\(498\) | 23.8459 | + | 6.58133i | 1.06856 | + | 0.294916i | ||||
\(499\) | 31.3500 | + | 15.0974i | 1.40342 | + | 0.675851i | 0.973852 | − | 0.227183i | \(-0.0729516\pi\) |
0.429568 | + | 0.903035i | \(0.358666\pi\) | |||||||
\(500\) | −0.812078 | + | 0.753498i | −0.0363172 | + | 0.0336975i | ||||
\(501\) | −9.53660 | − | 1.14692i | −0.426064 | − | 0.0512406i | ||||
\(502\) | −26.1666 | + | 3.94398i | −1.16787 | + | 0.176028i | ||||
\(503\) | −21.4243 | + | 10.3174i | −0.955264 | + | 0.460031i | −0.845529 | − | 0.533930i | \(-0.820715\pi\) |
−0.109735 | + | 0.993961i | \(0.535000\pi\) | |||||||
\(504\) | −9.03868 | − | 21.4518i | −0.402615 | − | 0.955538i | ||||
\(505\) | −0.629227 | − | 0.303020i | −0.0280003 | − | 0.0134842i | ||||
\(506\) | 3.76823 | + | 1.16235i | 0.167518 | + | 0.0516726i | ||||
\(507\) | −30.1892 | − | 13.4415i | −1.34075 | − | 0.596957i | ||||
\(508\) | 0.913305 | + | 1.58189i | 0.0405213 | + | 0.0701850i | ||||
\(509\) | 42.4251 | 1.88046 | 0.940230 | − | 0.340540i | \(-0.110610\pi\) | ||||
0.940230 | + | 0.340540i | \(0.110610\pi\) | |||||||
\(510\) | 4.59717 | + | 2.04685i | 0.203566 | + | 0.0906360i | ||||
\(511\) | 5.67376e−5 | 0 | 0.000296045i | 2.50992e−6 | 0 | 1.30963e-5i | ||||
\(512\) | 15.4366 | − | 19.3568i | 0.682206 | − | 0.855459i | ||||
\(513\) | 4.42774 | − | 15.1539i | 0.195490 | − | 0.669062i | ||||
\(514\) | 34.2970 | − | 23.3833i | 1.51277 | − | 1.03139i | ||||
\(515\) | 7.60084 | + | 3.66037i | 0.334933 | + | 0.161295i | ||||
\(516\) | −0.931665 | + | 0.318191i | −0.0410143 | + | 0.0140076i | ||||
\(517\) | −0.920893 | − | 2.34640i | −0.0405008 | − | 0.103194i | ||||
\(518\) | −26.0571 | + | 22.5311i | −1.14488 | + | 0.989958i | ||||
\(519\) | −2.29788 | − | 21.8651i | −0.100866 | − | 0.959773i | ||||
\(520\) | −5.86748 | + | 10.1628i | −0.257306 | + | 0.445667i | ||||
\(521\) | 2.23579 | − | 3.87250i | 0.0979517 | − | 0.169657i | −0.812885 | − | 0.582424i | \(-0.802104\pi\) |
0.910837 | + | 0.412767i | \(0.135438\pi\) | |||||||
\(522\) | −12.5305 | − | 18.9838i | −0.548447 | − | 0.830899i | ||||
\(523\) | −24.8605 | + | 23.0671i | −1.08707 | + | 1.00866i | −0.0871496 | + | 0.996195i | \(0.527776\pi\) |
−0.999922 | + | 0.0124602i | \(0.996034\pi\) | |||||||
\(524\) | 0.0429286 | + | 0.572842i | 0.00187534 | + | 0.0250247i | ||||
\(525\) | −18.6289 | + | 8.85365i | −0.813031 | + | 0.386405i | ||||
\(526\) | −1.65916 | + | 22.1400i | −0.0723430 | + | 0.965351i | ||||
\(527\) | 1.83905 | + | 2.30610i | 0.0801104 | + | 0.100455i | ||||
\(528\) | −4.51058 | − | 0.542466i | −0.196298 | − | 0.0236078i | ||||
\(529\) | 1.48091 | + | 6.48827i | 0.0643872 | + | 0.282099i | ||||
\(530\) | −0.372451 | − | 4.97002i | −0.0161783 | − | 0.215884i | ||||
\(531\) | −41.0736 | + | 8.72955i | −1.78244 | + | 0.378830i | ||||
\(532\) | 1.32594 | + | 0.0464849i | 0.0574868 | + | 0.00201538i | ||||
\(533\) | 27.1359 | − | 25.1785i | 1.17539 | − | 1.09060i | ||||
\(534\) | 26.4163 | + | 7.29075i | 1.14315 | + | 0.315501i | ||||
\(535\) | −3.57506 | − | 0.538854i | −0.154563 | − | 0.0232967i | ||||
\(536\) | 16.1962 | − | 4.99586i | 0.699568 | − | 0.215788i | ||||
\(537\) | 1.70309 | + | 0.204822i | 0.0734937 | + | 0.00883873i | ||||
\(538\) | 1.59554 | + | 2.76355i | 0.0687885 | + | 0.119145i | ||||
\(539\) | −4.70064 | − | 1.81935i | −0.202471 | − | 0.0783650i | ||||
\(540\) | −0.560622 | + | 0.229744i | −0.0241253 | + | 0.00988660i | ||||
\(541\) | −34.4264 | − | 23.4715i | −1.48011 | − | 1.00912i | −0.990550 | − | 0.137149i | \(-0.956206\pi\) |
−0.489557 | − | 0.871971i | \(-0.662842\pi\) | |||||||
\(542\) | 2.69673 | − | 11.8152i | 0.115835 | − | 0.507504i | ||||
\(543\) | 23.1959 | + | 20.2661i | 0.995433 | + | 0.869702i | ||||
\(544\) | 0.629089 | − | 2.75622i | 0.0269720 | − | 0.118172i | ||||
\(545\) | −9.99492 | − | 3.08302i | −0.428135 | − | 0.132062i | ||||
\(546\) | −25.8957 | + | 23.7814i | −1.10823 | + | 1.01775i | ||||
\(547\) | −13.6079 | + | 4.19748i | −0.581832 | + | 0.179471i | −0.571679 | − | 0.820477i | \(-0.693708\pi\) |
−0.0101523 | + | 0.999948i | \(0.503232\pi\) | |||||||
\(548\) | −0.127914 | − | 1.70690i | −0.00546422 | − | 0.0729150i | ||||
\(549\) | 40.1488 | + | 16.4555i | 1.71351 | + | 0.702304i | ||||
\(550\) | −0.328080 | + | 4.37792i | −0.0139894 | + | 0.186675i | ||||
\(551\) | 16.8164 | − | 2.53467i | 0.716404 | − | 0.107981i | ||||
\(552\) | 8.07125 | + | 18.8842i | 0.343535 | + | 0.803764i | ||||
\(553\) | −2.29085 | − | 3.08874i | −0.0974170 | − | 0.131347i | ||||
\(554\) | −20.3317 | + | 13.8620i | −0.863813 | + | 0.588938i | ||||
\(555\) | 7.60457 | + | 8.97173i | 0.322796 | + | 0.380829i | ||||
\(556\) | −0.493659 | − | 0.619029i | −0.0209358 | − | 0.0262527i | ||||
\(557\) | 7.24335 | − | 12.5458i | 0.306911 | − | 0.531585i | −0.670774 | − | 0.741662i | \(-0.734038\pi\) |
0.977685 | + | 0.210077i | \(0.0673714\pi\) | |||||||
\(558\) | 3.93230 | + | 0.353997i | 0.166467 | + | 0.0149859i | ||||
\(559\) | 12.1616 | + | 15.2501i | 0.514379 | + | 0.645011i | ||||
\(560\) | 4.05597 | + | 5.46864i | 0.171396 | + | 0.231092i | ||||
\(561\) | −3.58323 | + | 1.22378i | −0.151284 | + | 0.0516679i | ||||
\(562\) | 4.98556 | − | 6.25169i | 0.210303 | − | 0.263712i | ||||
\(563\) | 0.130881 | + | 1.74648i | 0.00551596 | + | 0.0736054i | 0.999282 | − | 0.0378765i | \(-0.0120594\pi\) |
−0.993766 | + | 0.111482i | \(0.964440\pi\) | |||||||
\(564\) | 0.474216 | − | 0.881218i | 0.0199681 | − | 0.0371060i | ||||
\(565\) | −1.53060 | − | 3.89990i | −0.0643928 | − | 0.164070i | ||||
\(566\) | −4.98654 | + | 6.25293i | −0.209600 | + | 0.262830i | ||||
\(567\) | −23.7266 | + | 2.01192i | −0.996424 | + | 0.0844928i | ||||
\(568\) | 26.7912 | + | 33.5951i | 1.12413 | + | 1.40962i | ||||
\(569\) | 16.1540 | − | 27.9796i | 0.677212 | − | 1.17297i | −0.298605 | − | 0.954377i | \(-0.596521\pi\) |
0.975817 | − | 0.218589i | \(-0.0701453\pi\) | |||||||
\(570\) | −0.225997 | + | 5.03103i | −0.00946598 | + | 0.210727i | ||||
\(571\) | 15.6213 | − | 39.8024i | 0.653730 | − | 1.66568i | −0.0889551 | − | 0.996036i | \(-0.528353\pi\) |
0.742685 | − | 0.669641i | \(-0.233552\pi\) | |||||||
\(572\) | −0.149783 | − | 0.656243i | −0.00626275 | − | 0.0274389i | ||||
\(573\) | 0.521962 | + | 0.844677i | 0.0218053 | + | 0.0352869i | ||||
\(574\) | −7.78849 | − | 22.0911i | −0.325085 | − | 0.922066i | ||||
\(575\) | 16.3946 | − | 7.89522i | 0.683702 | − | 0.329254i | ||||
\(576\) | −14.1247 | − | 21.3989i | −0.588527 | − | 0.891622i | ||||
\(577\) | −1.47070 | + | 19.6251i | −0.0612260 | + | 0.817005i | 0.879080 | + | 0.476674i | \(0.158158\pi\) |
−0.940306 | + | 0.340330i | \(0.889461\pi\) | |||||||
\(578\) | −2.34595 | − | 10.2783i | −0.0975785 | − | 0.427519i | ||||
\(579\) | 8.48499 | − | 0.253856i | 0.352624 | − | 0.0105499i | ||||
\(580\) | −0.478423 | − | 0.443912i | −0.0198654 | − | 0.0184324i | ||||
\(581\) | 26.3516 | + | 9.15118i | 1.09325 | + | 0.379655i | ||||
\(582\) | 26.2636 | − | 4.76586i | 1.08866 | − | 0.197551i | ||||
\(583\) | 2.74902 | + | 2.55072i | 0.113853 | + | 0.105640i | ||||
\(584\) | 0.000122073 | 0 | 0.000311037i | 5.05142e−6 | 0 | 1.28708e-5i | ||||
\(585\) | 8.03200 | + | 8.92082i | 0.332082 | + | 0.368830i | ||||
\(586\) | 0.186954 | + | 0.127463i | 0.00772300 | + | 0.00526545i | ||||
\(587\) | −4.20363 | − | 7.28091i | −0.173503 | − | 0.300515i | 0.766139 | − | 0.642674i | \(-0.222175\pi\) |
−0.939642 | + | 0.342159i | \(0.888842\pi\) | |||||||
\(588\) | −0.655670 | − | 1.89063i | −0.0270394 | − | 0.0779682i | ||||
\(589\) | −1.47594 | + | 2.55640i | −0.0608149 | + | 0.105335i | ||||
\(590\) | 12.0683 | − | 5.81179i | 0.496844 | − | 0.239268i | ||||
\(591\) | −37.8605 | − | 10.4493i | −1.55737 | − | 0.429825i | ||||
\(592\) | −21.8295 | + | 27.3733i | −0.897186 | + | 1.12504i | ||||
\(593\) | 13.3101 | − | 4.10564i | 0.546582 | − | 0.168598i | −0.00915229 | − | 0.999958i | \(-0.502913\pi\) |
0.555734 | + | 0.831360i | \(0.312437\pi\) | |||||||
\(594\) | −2.13066 | + | 4.59873i | −0.0874219 | + | 0.188688i | ||||
\(595\) | 5.02327 | + | 2.63975i | 0.205934 | + | 0.108219i | ||||
\(596\) | 1.50968 | − | 0.465674i | 0.0618389 | − | 0.0190748i | ||||
\(597\) | −11.5561 | − | 18.7009i | −0.472958 | − | 0.765375i | ||||
\(598\) | 22.7379 | − | 21.0977i | 0.929822 | − | 0.862749i | ||||
\(599\) | −32.4367 | − | 22.1150i | −1.32533 | − | 0.903594i | −0.326199 | − | 0.945301i | \(-0.605768\pi\) |
−0.999130 | + | 0.0417072i | \(0.986720\pi\) | |||||||
\(600\) | −18.4970 | + | 13.4386i | −0.755138 | + | 0.548628i | ||||
\(601\) | 25.0872 | + | 17.1042i | 1.02333 | + | 0.697693i | 0.953971 | − | 0.299899i | \(-0.0969528\pi\) |
0.0693571 | + | 0.997592i | \(0.477905\pi\) | |||||||
\(602\) | 11.9145 | − | 3.22260i | 0.485600 | − | 0.131343i | ||||
\(603\) | 0.259728 | − | 17.3357i | 0.0105769 | − | 0.705964i | ||||
\(604\) | −0.887800 | + | 0.823758i | −0.0361241 | + | 0.0335182i | ||||
\(605\) | −4.61681 | − | 5.78930i | −0.187700 | − | 0.235368i | ||||
\(606\) | −1.95462 | − | 1.24869i | −0.0794011 | − | 0.0507245i | ||||
\(607\) | −49.2347 | −1.99838 | −0.999188 | − | 0.0403012i | \(-0.987168\pi\) | ||||
−0.999188 | + | 0.0403012i | \(0.987168\pi\) | |||||||
\(608\) | 2.79767 | − | 0.421680i | 0.113460 | − | 0.0171014i | ||||
\(609\) | −12.7108 | − | 22.2792i | −0.515069 | − | 0.902798i | ||||
\(610\) | −13.6865 | − | 2.06292i | −0.554152 | − | 0.0835250i | ||||
\(611\) | −19.6053 | − | 2.95503i | −0.793147 | − | 0.119548i | ||||
\(612\) | −1.29044 | − | 0.771041i | −0.0521631 | − | 0.0311675i | ||||
\(613\) | −9.69903 | + | 6.61269i | −0.391740 | + | 0.267084i | −0.743132 | − | 0.669144i | \(-0.766661\pi\) |
0.351392 | + | 0.936228i | \(0.385708\pi\) | |||||||
\(614\) | −2.07964 | − | 5.29883i | −0.0839274 | − | 0.213843i | ||||
\(615\) | −7.56816 | + | 2.58475i | −0.305178 | + | 0.104227i | ||||
\(616\) | −5.49230 | − | 1.02580i | −0.221291 | − | 0.0413307i | ||||
\(617\) | 35.2610 | − | 5.31473i | 1.41955 | − | 0.213963i | 0.606005 | − | 0.795461i | \(-0.292771\pi\) |
0.813548 | + | 0.581498i | \(0.197533\pi\) | |||||||
\(618\) | 23.6111 | + | 15.0837i | 0.949779 | + | 0.606756i | ||||
\(619\) | −27.9299 | −1.12260 | −0.561299 | − | 0.827613i | \(-0.689698\pi\) | ||||
−0.561299 | + | 0.827613i | \(0.689698\pi\) | |||||||
\(620\) | 0.112017 | − | 0.0168839i | 0.00449872 | − | 0.000678073i | ||||
\(621\) | 20.9229 | − | 1.88243i | 0.839607 | − | 0.0755392i | ||||
\(622\) | −26.9156 | − | 12.9619i | −1.07922 | − | 0.519724i | ||||
\(623\) | 29.1921 | + | 10.1376i | 1.16955 | + | 0.406154i | ||||
\(624\) | −21.4349 | + | 28.5924i | −0.858081 | + | 1.14461i | ||||
\(625\) | 11.0749 | + | 13.8875i | 0.442996 | + | 0.555499i | ||||
\(626\) | 36.4170 | + | 24.8287i | 1.45551 | + | 0.992353i | ||||
\(627\) | −2.45016 | − | 2.89065i | −0.0978499 | − | 0.115441i | ||||
\(628\) | 1.11909 | − | 0.762982i | 0.0446565 | − | 0.0304463i | ||||
\(629\) | −6.49330 | + | 28.4490i | −0.258905 | + | 1.13434i | ||||
\(630\) | 7.20062 | − | 2.41801i | 0.286880 | − | 0.0963359i | ||||
\(631\) | 5.43170 | + | 23.7978i | 0.216233 | + | 0.947377i | 0.960234 | + | 0.279198i | \(0.0900686\pi\) |
−0.744001 | + | 0.668179i | \(0.767074\pi\) | |||||||
\(632\) | −3.12482 | − | 2.89941i | −0.124299 | − | 0.115332i | ||||
\(633\) | −18.9298 | + | 6.46507i | −0.752390 | + | 0.256963i | ||||
\(634\) | 26.4278 | − | 8.15190i | 1.04958 | − | 0.323753i | ||||
\(635\) | −7.04426 | + | 3.39234i | −0.279543 | + | 0.134621i | ||||
\(636\) | −0.0668114 | + | 1.48732i | −0.00264924 | + | 0.0589761i | ||||
\(637\) | −30.8805 | + | 24.8653i | −1.22353 | + | 0.985199i | ||||
\(638\) | −5.45962 | −0.216149 | ||||||||
\(639\) | 41.1522 | − | 15.4437i | 1.62795 | − | 0.610942i | ||||
\(640\) | 5.03117 | + | 4.66824i | 0.198874 | + | 0.184528i | ||||
\(641\) | −3.88273 | + | 4.86880i | −0.153359 | + | 0.192306i | −0.852576 | − | 0.522604i | \(-0.824961\pi\) |
0.699217 | + | 0.714910i | \(0.253532\pi\) | |||||||
\(642\) | −11.5746 | − | 3.19451i | −0.456812 | − | 0.126077i | ||||
\(643\) | −21.6372 | − | 6.67418i | −0.853286 | − | 0.263204i | −0.162898 | − | 0.986643i | \(-0.552084\pi\) |
−0.690388 | + | 0.723439i | \(0.742560\pi\) | |||||||
\(644\) | 0.587007 | + | 1.66497i | 0.0231313 | + | 0.0656092i | ||||
\(645\) | −1.06015 | − | 4.07849i | −0.0417433 | − | 0.160590i | ||||
\(646\) | −10.3241 | + | 7.03883i | −0.406195 | + | 0.276939i | ||||
\(647\) | 15.8185 | + | 4.87935i | 0.621888 | + | 0.191827i | 0.589658 | − | 0.807653i | \(-0.299263\pi\) |
0.0322306 | + | 0.999480i | \(0.489739\pi\) | |||||||
\(648\) | −25.4441 | + | 7.02098i | −0.999540 | + | 0.275810i | ||||
\(649\) | −3.68217 | + | 9.38203i | −0.144538 | + | 0.368277i | ||||
\(650\) | 28.5319 | + | 19.4527i | 1.11911 | + | 0.762999i | ||||
\(651\) | 4.39901 | + | 0.686161i | 0.172411 | + | 0.0268928i | ||||
\(652\) | −2.30001 | + | 1.56812i | −0.0900755 | + | 0.0614124i | ||||
\(653\) | −2.00745 | − | 8.79521i | −0.0785575 | − | 0.344183i | 0.920340 | − | 0.391118i | \(-0.127912\pi\) |
−0.998898 | + | 0.0469353i | \(0.985055\pi\) | |||||||
\(654\) | −31.7342 | − | 14.1294i | −1.24091 | − | 0.552502i | ||||
\(655\) | −2.45884 | −0.0960750 | ||||||||
\(656\) | −11.9038 | − | 20.6180i | −0.464767 | − | 0.804999i | ||||
\(657\) | 0.000341182 | 0 | 2.04334e-5i | 1.33108e−5 | 0 | 7.97184e-7i | ||||
\(658\) | −6.64976 | + | 10.6386i | −0.259235 | + | 0.414736i | ||||
\(659\) | 13.1556 | + | 1.98289i | 0.512470 | + | 0.0772425i | 0.400187 | − | 0.916434i | \(-0.368945\pi\) |
0.112284 | + | 0.993676i | \(0.464183\pi\) | |||||||
\(660\) | −0.0281051 | + | 0.142680i | −0.00109399 | + | 0.00555381i | ||||
\(661\) | 1.17299 | + | 15.6525i | 0.0456240 | + | 0.608810i | 0.972419 | + | 0.233242i | \(0.0749334\pi\) |
−0.926795 | + | 0.375568i | \(0.877448\pi\) | |||||||
\(662\) | −1.25665 | − | 16.7688i | −0.0488411 | − | 0.651740i | ||||
\(663\) | −5.75611 | + | 29.2218i | −0.223549 | + | 1.13488i | ||||
\(664\) | 30.5762 | + | 4.60863i | 1.18659 | + | 0.178849i | ||||
\(665\) | −0.622546 | + | 5.64476i | −0.0241413 | + | 0.218894i | ||||
\(666\) | 21.5172 | + | 32.5986i | 0.833773 | + | 1.26317i | ||||
\(667\) | 11.3146 | + | 19.5975i | 0.438104 | + | 0.758818i | ||||
\(668\) | −0.915293 | −0.0354138 | ||||||||
\(669\) | −4.79224 | − | 2.13370i | −0.185279 | − | 0.0824937i | ||||
\(670\) | 1.23067 | + | 5.39191i | 0.0475449 | + | 0.208308i | ||||
\(671\) | 8.60492 | − | 5.86674i | 0.332189 | − | 0.226483i | ||||
\(672\) | −2.11464 | − | 3.70648i | −0.0815739 | − | 0.142980i | ||||
\(673\) | 13.9819 | + | 9.53272i | 0.538964 | + | 0.367459i | 0.801998 | − | 0.597327i | \(-0.203771\pi\) |
−0.263034 | + | 0.964787i | \(0.584723\pi\) | |||||||
\(674\) | −12.3021 | + | 31.3453i | −0.473860 | + | 1.20737i | ||||
\(675\) | 7.22640 | + | 22.2430i | 0.278144 | + | 0.856133i | ||||
\(676\) | −3.00909 | − | 0.928182i | −0.115734 | − | 0.0356993i | ||||
\(677\) | −22.3970 | + | 15.2700i | −0.860788 | + | 0.586875i | −0.911251 | − | 0.411851i | \(-0.864883\pi\) |
0.0504635 | + | 0.998726i | \(0.483930\pi\) | |||||||
\(678\) | −3.50039 | − | 13.4663i | −0.134432 | − | 0.517171i | ||||
\(679\) | 29.9027 | − | 3.44059i | 1.14756 | − | 0.132038i | ||||
\(680\) | 6.01080 | + | 1.85409i | 0.230504 | + | 0.0711010i | ||||
\(681\) | −35.8045 | − | 9.88182i | −1.37203 | − | 0.378672i | ||||
\(682\) | 0.590851 | − | 0.740903i | 0.0226248 | − | 0.0283707i | ||||
\(683\) | 17.3551 | + | 16.1031i | 0.664073 | + | 0.616170i | 0.938435 | − | 0.345457i | \(-0.112276\pi\) |
−0.274362 | + | 0.961627i | \(0.588467\pi\) | |||||||
\(684\) | 0.246479 | − | 1.48407i | 0.00942435 | − | 0.0567448i | ||||
\(685\) | 7.32662 | 0.279936 | ||||||||
\(686\) | 6.66428 | + | 24.1863i | 0.254443 | + | 0.923436i | ||||
\(687\) | −1.79681 | + | 39.9997i | −0.0685527 | + | 1.52608i | ||||
\(688\) | 11.3025 | − | 5.44302i | 0.430905 | − | 0.207513i | ||||
\(689\) | 28.1870 | − | 8.69454i | 1.07384 | − | 0.331236i | ||||
\(690\) | −6.34156 | + | 2.16583i | −0.241419 | + | 0.0824516i | ||||
\(691\) | 0.626324 | + | 0.581144i | 0.0238265 | + | 0.0221078i | 0.691996 | − | 0.721901i | \(-0.256731\pi\) |
−0.668170 | + | 0.744009i | \(0.732922\pi\) | |||||||
\(692\) | −0.466183 | − | 2.04248i | −0.0177216 | − | 0.0776435i | ||||
\(693\) | −2.73417 | + | 5.01889i | −0.103863 | + | 0.190652i | ||||
\(694\) | 9.21375 | − | 40.3681i | 0.349749 | − | 1.53235i | ||||
\(695\) | 2.80016 | − | 1.90912i | 0.106216 | − | 0.0724170i | ||||
\(696\) | −18.3844 | − | 21.6896i | −0.696860 | − | 0.822142i | ||||
\(697\) | −16.3947 | − | 11.1777i | −0.620993 | − | 0.423386i | ||||
\(698\) | 4.78769 | + | 6.00358i | 0.181217 | + | 0.227239i | ||||
\(699\) | 1.33021 | − | 1.77440i | 0.0503132 | − | 0.0671139i | ||||
\(700\) | −1.66171 | + | 1.04959i | −0.0628068 | + | 0.0396708i | ||||
\(701\) | 42.1313 | + | 20.2893i | 1.59128 | + | 0.766318i | 0.999217 | − | 0.0395764i | \(-0.0126009\pi\) |
0.592059 | + | 0.805894i | \(0.298315\pi\) | |||||||
\(702\) | 22.9467 | + | 32.6002i | 0.866069 | + | 1.23042i | ||||
\(703\) | −28.8768 | + | 4.35248i | −1.08911 | + | 0.164157i | ||||
\(704\) | −6.15419 | −0.231945 | ||||||||
\(705\) | 3.60969 | + | 2.30601i | 0.135949 | + | 0.0868495i | ||||
\(706\) | −17.9467 | + | 2.70503i | −0.675432 | + | 0.101805i | ||||
\(707\) | −2.10809 | − | 1.54819i | −0.0792831 | − | 0.0582255i | ||||
\(708\) | −3.78658 | + | 1.29323i | −0.142309 | + | 0.0486025i | ||||
\(709\) | −8.24159 | − | 20.9992i | −0.309519 | − | 0.788642i | −0.997990 | − | 0.0633779i | \(-0.979813\pi\) |
0.688470 | − | 0.725265i | \(-0.258283\pi\) | |||||||
\(710\) | −11.5848 | + | 7.89841i | −0.434771 | + | 0.296422i | ||||
\(711\) | −3.80850 | + | 2.12341i | −0.142830 | + | 0.0796341i | ||||
\(712\) | 33.8721 | + | 5.10540i | 1.26941 | + | 0.191333i | ||||
\(713\) | −3.88399 | − | 0.585417i | −0.145456 | − | 0.0219240i | ||||
\(714\) | 15.5167 | + | 10.6962i | 0.580697 | + | 0.400296i | ||||
\(715\) | 2.84901 | − | 0.429420i | 0.106547 | − | 0.0160594i | ||||
\(716\) | 0.163457 | 0.00610868 | ||||||||
\(717\) | −41.1960 | − | 26.3176i | −1.53849 | − | 0.982849i | ||||
\(718\) | 1.11422 | + | 1.39719i | 0.0415823 | + | 0.0521426i | ||||
\(719\) | 27.0063 | − | 25.0582i | 1.00716 | − | 0.934512i | 0.00930870 | − | 0.999957i | \(-0.497037\pi\) |
0.997856 | + | 0.0654442i | \(0.0208464\pi\) | |||||||
\(720\) | 6.74298 | − | 3.75952i | 0.251296 | − | 0.140109i | ||||
\(721\) | 25.4650 | + | 18.7015i | 0.948367 | + | 0.696481i | ||||
\(722\) | 10.9333 | + | 7.45422i | 0.406896 | + | 0.277417i | ||||
\(723\) | −5.72492 | + | 4.15931i | −0.212912 | + | 0.154686i | ||||
\(724\) | 2.42512 | + | 1.65342i | 0.0901289 | + | 0.0614489i | ||||
\(725\) | −18.4678 | + | 17.1356i | −0.685876 | + | 0.636400i | ||||
\(726\) | −12.9275 | − | 20.9202i | −0.479784 | − | 0.776422i | ||||
\(727\) | 3.49706 | − | 1.07870i | 0.129699 | − | 0.0400068i | −0.229226 | − | 0.973373i | \(-0.573620\pi\) |
0.358925 | + | 0.933366i | \(0.383143\pi\) | |||||||
\(728\) | −28.5883 | + | 33.3790i | −1.05955 | + | 1.23711i | ||||
\(729\) | −1.21306 | + | 26.9727i | −0.0449282 | + | 0.998990i | ||||
\(730\) | −0.000104185 | 0 | 3.21370e-5i | −3.85608e−6 | 0 | 1.18944e-6i | ||||
\(731\) | 6.51893 | − | 8.17448i | 0.241111 | − | 0.302344i | ||||
\(732\) | 3.98565 | + | 1.10001i | 0.147314 | + | 0.0406577i | ||||
\(733\) | −4.19224 | + | 2.01887i | −0.154844 | + | 0.0745688i | −0.509701 | − | 0.860352i | \(-0.670244\pi\) |
0.354857 | + | 0.934921i | \(0.384530\pi\) | |||||||
\(734\) | −9.45348 | + | 16.3739i | −0.348934 | + | 0.604372i | ||||
\(735\) | 8.27967 | − | 2.19389i | 0.305400 | − | 0.0809230i | ||||
\(736\) | 1.88236 | + | 3.26034i | 0.0693846 | + | 0.120178i | ||||
\(737\) | −3.43831 | − | 2.34420i | −0.126652 | − | 0.0863498i | ||||
\(738\) | −25.9799 | + | 5.52163i | −0.956334 | + | 0.203254i | ||||
\(739\) | −7.99223 | − | 20.3639i | −0.293999 | − | 0.749097i | −0.999196 | − | 0.0400858i | \(-0.987237\pi\) |
0.705197 | − | 0.709011i | \(-0.250858\pi\) | |||||||
\(740\) | 0.821538 | + | 0.762276i | 0.0302003 | + | 0.0280218i | ||||
\(741\) | −29.3272 | + | 5.32178i | −1.07736 | + | 0.195501i | ||||
\(742\) | 2.04614 | − | 18.5528i | 0.0751161 | − | 0.681094i | ||||
\(743\) | −26.4626 | − | 24.5537i | −0.970818 | − | 0.900788i | 0.0242774 | − | 0.999705i | \(-0.492272\pi\) |
−0.995096 | + | 0.0989175i | \(0.968462\pi\) | |||||||
\(744\) | 4.93300 | − | 0.147587i | 0.180853 | − | 0.00541080i | ||||
\(745\) | 1.50478 | + | 6.59285i | 0.0551307 | + | 0.241543i | ||||
\(746\) | 0.166072 | − | 2.21608i | 0.00608033 | − | 0.0811363i | ||||
\(747\) | 14.1493 | − | 28.2891i | 0.517694 | − | 1.03505i | ||||
\(748\) | −0.325079 | + | 0.156550i | −0.0118861 | + | 0.00572403i | ||||
\(749\) | −12.7908 | − | 4.44188i | −0.467365 | − | 0.162303i | ||||
\(750\) | −8.27836 | − | 13.3967i | −0.302283 | − | 0.489177i | ||||
\(751\) | −11.8346 | − | 51.8506i | −0.431850 | − | 1.89206i | −0.451541 | − | 0.892250i | \(-0.649126\pi\) |
0.0196916 | − | 0.999806i | \(-0.493732\pi\) | |||||||
\(752\) | −4.65862 | + | 11.8700i | −0.169882 | + | 0.432853i | ||||
\(753\) | −1.51838 | + | 33.8015i | −0.0553330 | + | 1.23179i | ||||
\(754\) | −21.4721 | + | 37.1908i | −0.781968 | + | 1.35441i | ||||
\(755\) | −3.23214 | − | 4.05297i | −0.117630 | − | 0.147503i | ||||
\(756\) | −2.22185 | + | 0.460309i | −0.0808078 | + | 0.0167413i | ||||
\(757\) | 1.01160 | − | 1.26851i | 0.0367674 | − | 0.0461048i | −0.763108 | − | 0.646271i | \(-0.776328\pi\) |
0.799875 | + | 0.600166i | \(0.204899\pi\) | |||||||
\(758\) | 2.27553 | + | 5.79796i | 0.0826511 | + | 0.210592i | ||||
\(759\) | 2.38940 | − | 4.44014i | 0.0867297 | − | 0.161167i | ||||
\(760\) | 0.470432 | + | 6.27748i | 0.0170644 | + | 0.227708i | ||||
\(761\) | −22.2693 | + | 27.9248i | −0.807260 | + | 1.01227i | 0.192262 | + | 0.981344i | \(0.438418\pi\) |
−0.999522 | + | 0.0309283i | \(0.990154\pi\) | |||||||
\(762\) | −24.5727 | + | 8.39229i | −0.890175 | + | 0.304021i | ||||
\(763\) | −34.6756 | − | 18.2222i | −1.25534 | − | 0.659687i | ||||
\(764\) | 0.0589928 | + | 0.0739746i | 0.00213428 | + | 0.00267631i | ||||
\(765\) | 3.70388 | − | 5.26148i | 0.133914 | − | 0.190229i | ||||
\(766\) | 8.20760 | − | 14.2160i | 0.296553 | − | 0.513645i | ||||
\(767\) | 49.4284 | + | 61.9813i | 1.78476 | + | 2.23802i | ||||
\(768\) | −4.40515 | − | 5.19712i | −0.158957 | − | 0.187535i | ||||
\(769\) | 22.2508 | − | 15.1703i | 0.802384 | − | 0.547056i | −0.0912627 | − | 0.995827i | \(-0.529090\pi\) |
0.893647 | + | 0.448770i | \(0.148138\pi\) | |||||||
\(770\) | 0.467714 | − | 1.76213i | 0.0168553 | − | 0.0635028i | ||||
\(771\) | −20.8597 | − | 48.8051i | −0.751244 | − | 1.75767i | ||||
\(772\) | 0.799863 | − | 0.120560i | 0.0287877 | − | 0.00433905i | ||||
\(773\) | −1.89827 | + | 25.3306i | −0.0682759 | + | 0.911078i | 0.852936 | + | 0.522016i | \(0.174820\pi\) |
−0.921212 | + | 0.389062i | \(0.872799\pi\) | |||||||
\(774\) | −1.87834 | − | 13.8686i | −0.0675154 | − | 0.498498i | ||||
\(775\) | −0.326784 | − | 4.36063i | −0.0117384 | − | 0.156639i | ||||
\(776\) | 31.8831 | − | 9.83463i | 1.14454 | − | 0.353043i | ||||
\(777\) | 21.8268 | + | 38.2574i | 0.783031 | + | 1.37247i | ||||
\(778\) | −5.82788 | − | 1.79766i | −0.208939 | − | 0.0644493i | ||||
\(779\) | 4.41877 | − | 19.3599i | 0.158319 | − | 0.693640i | ||||
\(780\) | 0.861397 | + | 0.752596i | 0.0308430 | + | 0.0269473i | ||||
\(781\) | 2.34760 | − | 10.2855i | 0.0840039 | − | 0.368045i | ||||
\(782\) | −13.7375 | − | 9.36609i | −0.491253 | − | 0.334931i | ||||
\(783\) | −26.9123 | + | 11.0287i | −0.961769 | + | 0.394134i | ||||
\(784\) | 11.1716 | + | 22.9211i | 0.398985 | + | 0.818611i | ||||
\(785\) | 2.89874 | + | 5.02076i | 0.103460 | + | 0.179199i | ||||
\(786\) | −8.10768 | − | 0.975071i | −0.289191 | − | 0.0347796i | ||||
\(787\) | 11.1417 | − | 3.43676i | 0.397158 | − | 0.122507i | −0.0897412 | − | 0.995965i | \(-0.528604\pi\) |
0.486899 | + | 0.873458i | \(0.338128\pi\) | |||||||
\(788\) | −3.70082 | − | 0.557809i | −0.131836 | − | 0.0198711i | ||||
\(789\) | 27.3654 | + | 7.55267i | 0.974233 | + | 0.268882i | ||||
\(790\) | 1.01964 | − | 0.946087i | 0.0362771 | − | 0.0336603i | ||||
\(791\) | −2.95327 | − | 15.4095i | −0.105006 | − | 0.547900i | ||||
\(792\) | −1.95786 | + | 6.02525i | −0.0695697 | + | 0.214098i | ||||
\(793\) | −6.12179 | − | 81.6896i | −0.217391 | − | 2.90088i | ||||
\(794\) | −2.58669 | − | 11.3330i | −0.0917983 | − | 0.402195i | ||||
\(795\) | −6.32709 | − | 0.760928i | −0.224399 | − | 0.0269874i | ||||
\(796\) | −1.30608 | − | 1.63777i | −0.0462928 | − | 0.0580493i | ||||
\(797\) | −0.538683 | + | 7.18822i | −0.0190811 | + | 0.254620i | 0.979503 | + | 0.201429i | \(0.0645584\pi\) |
−0.998584 | + | 0.0531914i | \(0.983061\pi\) | |||||||
\(798\) | −4.29122 | + | 18.3659i | −0.151908 | + | 0.650146i | ||||
\(799\) | 0.794210 | + | 10.5980i | 0.0280971 | + | 0.374930i | ||||
\(800\) | −3.07239 | + | 2.85076i | −0.108625 | + | 0.100790i | ||||
\(801\) | 15.6744 | − | 31.3385i | 0.553829 | − | 1.10729i | ||||
\(802\) | −20.4919 | + | 35.4931i | −0.723595 | + | 1.25330i | ||||
\(803\) | 4.10188e−5 | 0 | 7.10466e-5i | 1.44752e−6 | 0 | 2.50718e-6i | ||||
\(804\) | −0.172675 | − | 1.64306i | −0.00608978 | − | 0.0579462i | ||||
\(805\) | −7.29453 | + | 1.97300i | −0.257098 | + | 0.0695389i | ||||
\(806\) | −2.72326 | − | 6.93874i | −0.0959226 | − | 0.244407i | ||||
\(807\) | 3.86125 | − | 1.31873i | 0.135922 | − | 0.0464215i | ||||
\(808\) | −2.61215 | − | 1.25795i | −0.0918952 | − | 0.0442544i | ||||
\(809\) | −10.9433 | + | 7.46104i | −0.384747 | + | 0.262316i | −0.740212 | − | 0.672374i | \(-0.765275\pi\) |
0.355465 | + | 0.934690i | \(0.384323\pi\) | |||||||
\(810\) | −1.66412 | − | 8.45050i | −0.0584711 | − | 0.296920i | ||||
\(811\) | 5.49459 | − | 6.89000i | 0.192941 | − | 0.241941i | −0.675945 | − | 0.736952i | \(-0.736265\pi\) |
0.868887 | + | 0.495011i | \(0.164836\pi\) | |||||||
\(812\) | −1.45605 | − | 1.96318i | −0.0510972 | − | 0.0688939i | ||||
\(813\) | −14.1561 | − | 6.30287i | −0.496476 | − | 0.221051i | ||||
\(814\) | 9.37515 | 0.328599 | ||||||||
\(815\) | −5.95765 | − | 10.3190i | −0.208687 | − | 0.361457i | ||||
\(816\) | 17.4988 | + | 7.79118i | 0.612580 | + | 0.272746i | ||||
\(817\) | 9.99870 | + | 3.08419i | 0.349810 | + | 0.107902i | ||||
\(818\) | −23.6350 | − | 11.3820i | −0.826379 | − | 0.397963i | ||||
\(819\) | 23.4353 | + | 38.3638i | 0.818896 | + | 1.34054i | ||||
\(820\) | −0.686602 | + | 0.330650i | −0.0239772 | + | 0.0115468i | ||||
\(821\) | 34.6533 | − | 5.22314i | 1.20941 | − | 0.182289i | 0.486779 | − | 0.873525i | \(-0.338172\pi\) |
0.722629 | + | 0.691237i | \(0.242934\pi\) | |||||||
\(822\) | 24.1585 | + | 2.90542i | 0.842623 | + | 0.101338i | ||||
\(823\) | 26.4876 | − | 24.5769i | 0.923298 | − | 0.856696i | −0.0667003 | − | 0.997773i | \(-0.521247\pi\) |
0.989999 | + | 0.141077i | \(0.0450567\pi\) | |||||||
\(824\) | 31.5539 | + | 15.1955i | 1.09923 | + | 0.529362i | ||||
\(825\) | 5.41117 | + | 1.49345i | 0.188393 | + | 0.0519952i | ||||
\(826\) | 48.4245 | − | 13.0977i | 1.68490 | − | 0.455726i | ||||
\(827\) | 0.161644 | + | 0.708209i | 0.00562092 | + | 0.0246268i | 0.977661 | − | 0.210190i | \(-0.0674082\pi\) |
−0.972040 | + | 0.234817i | \(0.924551\pi\) | |||||||
\(828\) | 1.95807 | − | 0.416156i | 0.0680475 | − | 0.0144624i | ||||
\(829\) | −11.4871 | − | 29.2687i | −0.398964 | − | 1.01654i | −0.979345 | − | 0.202198i | \(-0.935192\pi\) |
0.580381 | − | 0.814345i | \(-0.302904\pi\) | |||||||
\(830\) | −2.24520 | + | 9.83685i | −0.0779320 | + | 0.341442i | ||||
\(831\) | 12.3659 | + | 28.9324i | 0.428969 | + | 1.00365i | ||||
\(832\) | −24.2037 | + | 41.9221i | −0.839114 | + | 1.45339i | ||||
\(833\) | 16.6777 | + | 13.1719i | 0.577847 | + | 0.456379i | ||||
\(834\) | 9.99021 | − | 5.18462i | 0.345933 | − | 0.179529i | ||||
\(835\) | 0.292776 | − | 3.90683i | 0.0101319 | − | 0.135201i | ||||
\(836\) | −0.264696 | − | 0.245602i | −0.00915470 | − | 0.00849432i | ||||
\(837\) | 1.41584 | − | 4.84571i | 0.0489386 | − | 0.167492i | ||||
\(838\) | −23.4721 | + | 7.24019i | −0.810831 | + | 0.250108i | ||||
\(839\) | −22.4671 | + | 20.8465i | −0.775652 | + | 0.719700i | −0.965011 | − | 0.262208i | \(-0.915549\pi\) |
0.189359 | + | 0.981908i | \(0.439359\pi\) | |||||||
\(840\) | 8.57541 | − | 4.07559i | 0.295880 | − | 0.140621i | ||||
\(841\) | −1.70793 | − | 1.58473i | −0.0588941 | − | 0.0546457i | ||||
\(842\) | 6.87038 | + | 3.30860i | 0.236769 | + | 0.114022i | ||||
\(843\) | −6.61093 | − | 7.79945i | −0.227692 | − | 0.268627i | ||||
\(844\) | −1.71736 | + | 0.827035i | −0.0591138 | + | 0.0284677i | ||||
\(845\) | 4.92437 | − | 12.5471i | 0.169403 | − | 0.431633i | ||||
\(846\) | 10.9880 | + | 9.03519i | 0.377774 | + | 0.310636i | ||||
\(847\) | −13.0158 | − | 24.4872i | −0.447227 | − | 0.841391i | ||||
\(848\) | −1.41771 | − | 18.9180i | −0.0486844 | − | 0.649648i | ||||
\(849\) | 6.61224 | + | 7.80099i | 0.226931 | + | 0.267729i | ||||
\(850\) | 6.76256 | − | 17.2307i | 0.231954 | − | 0.591009i | ||||
\(851\) | −19.4292 | − | 33.6524i | −0.666025 | − | 1.15359i | ||||
\(852\) | 3.71762 | − | 1.92934i | 0.127364 | − | 0.0660979i | ||||
\(853\) | 16.2013 | − | 41.2803i | 0.554723 | − | 1.41341i | −0.328520 | − | 0.944497i | \(-0.606550\pi\) |
0.883243 | − | 0.468915i | \(-0.155355\pi\) | |||||||
\(854\) | −48.9674 | − | 17.0050i | −1.67563 | − | 0.581900i | ||||
\(855\) | 6.25575 | + | 1.52678i | 0.213942 | + | 0.0522147i | ||||
\(856\) | −14.8414 | − | 2.23698i | −0.507268 | − | 0.0764584i | ||||
\(857\) | −27.8721 | − | 13.4225i | −0.952091 | − | 0.458503i | −0.107672 | − | 0.994186i | \(-0.534340\pi\) |
−0.844419 | + | 0.535684i | \(0.820054\pi\) | |||||||
\(858\) | 9.56450 | − | 0.286153i | 0.326527 | − | 0.00976911i | ||||
\(859\) | 14.8052 | − | 18.5652i | 0.505148 | − | 0.633435i | −0.462234 | − | 0.886758i | \(-0.652952\pi\) |
0.967382 | + | 0.253323i | \(0.0815235\pi\) | |||||||
\(860\) | −0.146705 | − | 0.373797i | −0.00500258 | − | 0.0127464i | ||||
\(861\) | −29.6387 | + | 4.31180i | −1.01009 | + | 0.146946i | ||||
\(862\) | −3.91330 | + | 9.97093i | −0.133288 | + | 0.339611i | ||||
\(863\) | −17.3373 | − | 30.0292i | −0.590170 | − | 1.02220i | −0.994209 | − | 0.107463i | \(-0.965727\pi\) |
0.404039 | − | 0.914742i | \(-0.367606\pi\) | |||||||
\(864\) | −4.47727 | + | 1.83479i | −0.152320 | + | 0.0624209i | ||||
\(865\) | 8.86722 | − | 1.33652i | 0.301495 | − | 0.0454430i | ||||
\(866\) | 29.4866 | + | 9.09542i | 1.00200 | + | 0.309075i | ||||
\(867\) | −13.4741 | + | 0.403123i | −0.457606 | + | 0.0136908i | ||||
\(868\) | 0.423991 | + | 0.0148643i | 0.0143912 | + | 0.000504527i | ||||
\(869\) | −0.0782126 | + | 1.04367i | −0.00265318 | + | 0.0354042i | ||||
\(870\) | 7.50590 | − | 5.45323i | 0.254474 | − | 0.184882i | ||||
\(871\) | −29.4911 | + | 14.2022i | −0.999269 | + | 0.481222i | ||||
\(872\) | −41.4925 | − | 12.7988i | −1.40511 | − | 0.433420i | ||||
\(873\) | 0.511288 | − | 34.1263i | 0.0173045 | − | 1.15500i | ||||
\(874\) | 3.70260 | − | 16.2221i | 0.125242 | − | 0.548722i | ||||
\(875\) | −8.33490 | − | 15.6809i | −0.281771 | − | 0.530110i | ||||
\(876\) | 3.20462e−5 | 0 | 5.81518e-6i | 1.08274e−6 | 0 | 1.96477e-7i | ||||
\(877\) | −2.57461 | + | 11.2801i | −0.0869384 | + | 0.380902i | −0.999614 | − | 0.0277829i | \(-0.991155\pi\) |
0.912676 | + | 0.408685i | \(0.134012\pi\) | |||||||
\(878\) | −11.6746 | − | 1.75967i | −0.394000 | − | 0.0593860i | ||||
\(879\) | 0.206106 | − | 0.203042i | 0.00695179 | − | 0.00684842i | ||||
\(880\) | 0.138476 | − | 1.84783i | 0.00466803 | − | 0.0622905i | ||||
\(881\) | −4.55804 | −0.153564 | −0.0767822 | − | 0.997048i | \(-0.524465\pi\) | ||||
−0.0767822 | + | 0.997048i | \(0.524465\pi\) | |||||||
\(882\) | 28.1710 | − | 3.95069i | 0.948567 | − | 0.133027i | ||||
\(883\) | −4.84986 | −0.163211 | −0.0816055 | − | 0.996665i | \(-0.526005\pi\) | ||||
−0.0816055 | + | 0.996665i | \(0.526005\pi\) | |||||||
\(884\) | −0.212088 | + | 2.83012i | −0.00713330 | + | 0.0951873i | ||||
\(885\) | −4.30878 | − | 16.5763i | −0.144838 | − | 0.557206i | ||||
\(886\) | −46.4998 | − | 7.00871i | −1.56219 | − | 0.235462i | ||||
\(887\) | 8.38782 | − | 36.7495i | 0.281636 | − | 1.23393i | −0.614060 | − | 0.789259i | \(-0.710465\pi\) |
0.895696 | − | 0.444667i | \(-0.146678\pi\) | |||||||
\(888\) | 31.5693 | + | 37.2449i | 1.05940 | + | 1.24986i | ||||
\(889\) | −28.2653 | + | 7.64510i | −0.947989 | + | 0.256408i | ||||
\(890\) | −2.48721 | + | 10.8972i | −0.0833716 | + | 0.365275i | ||||
\(891\) | 5.24273 | + | 3.80941i | 0.175638 | + | 0.127620i | ||||
\(892\) | −0.477664 | − | 0.147340i | −0.0159934 | − | 0.00493330i | ||||
\(893\) | −9.58257 | + | 4.61472i | −0.320669 | + | 0.154426i | ||||
\(894\) | 2.34734 | + | 22.3357i | 0.0785068 | + | 0.747018i | ||||
\(895\) | −0.0522853 | + | 0.697698i | −0.00174770 | + | 0.0233215i | ||||
\(896\) | 15.3120 | + | 20.6450i | 0.511538 | + | 0.689702i | ||||
\(897\) | −20.8488 | − | 33.7391i | −0.696121 | − | 1.12651i | ||||
\(898\) | −3.34480 | − | 1.03173i | −0.111617 | − | 0.0344294i | ||||
\(899\) | 5.37733 | − | 0.810502i | 0.179344 | − | 0.0270318i | ||||
\(900\) | 0.936762 | + | 2.02215i | 0.0312254 | + | 0.0674051i | ||||
\(901\) | −7.90574 | − | 13.6931i | −0.263378 | − | 0.456185i | ||||
\(902\) | −2.32905 | + | 5.93433i | −0.0775490 | + | 0.197592i | ||||
\(903\) | −1.09856 | − | 15.7435i | −0.0365577 | − | 0.523912i | ||||
\(904\) | −6.35407 | − | 16.1899i | −0.211333 | − | 0.538468i | ||||
\(905\) | −7.83317 | + | 9.82248i | −0.260383 | + | 0.326510i | ||||
\(906\) | −9.05028 | − | 14.6458i | −0.300675 | − | 0.486575i | ||||
\(907\) | 44.0915 | + | 21.2334i | 1.46404 | + | 0.705042i | 0.984968 | − | 0.172736i | \(-0.0552606\pi\) |
0.479068 | + | 0.877778i | \(0.340975\pi\) | |||||||
\(908\) | −3.49985 | − | 0.527517i | −0.116146 | − | 0.0175063i | ||||
\(909\) | −2.04954 | + | 2.14356i | −0.0679791 | + | 0.0710975i | ||||
\(910\) | −10.1641 | − | 10.1163i | −0.336937 | − | 0.335353i | ||||
\(911\) | 4.49154 | − | 11.4443i | 0.148811 | − | 0.379165i | −0.836958 | − | 0.547267i | \(-0.815668\pi\) |
0.985770 | + | 0.168101i | \(0.0537636\pi\) | |||||||
\(912\) | −0.860242 | + | 19.1503i | −0.0284855 | + | 0.634129i | ||||
\(913\) | −3.79597 | − | 6.57482i | −0.125628 | − | 0.217595i | ||||
\(914\) | 13.2138 | − | 33.6683i | 0.437075 | − | 1.11365i | ||||
\(915\) | −5.97019 | + | 16.6604i | −0.197368 | + | 0.550777i | ||||
\(916\) | 0.285127 | + | 3.80475i | 0.00942086 | + | 0.125713i | ||||
\(917\) | −9.05201 | − | 1.69065i | −0.298924 | − | 0.0558302i | ||||
\(918\) | 14.2995 | − | 15.8802i | 0.471953 | − | 0.524124i | ||||
\(919\) | −12.9716 | + | 33.0512i | −0.427894 | + | 1.09026i | 0.540613 | + | 0.841271i | \(0.318192\pi\) |
−0.968507 | + | 0.248985i | \(0.919903\pi\) | |||||||
\(920\) | −7.54691 | + | 3.63440i | −0.248814 | + | 0.119823i | ||||
\(921\) | −7.16148 | + | 1.29954i | −0.235979 | + | 0.0428212i | ||||
\(922\) | 29.4489 | + | 14.1818i | 0.969848 | + | 0.467054i | ||||
\(923\) | −60.8318 | − | 56.4436i | −2.00230 | − | 1.85786i | ||||
\(924\) | −0.201570 | + | 0.505939i | −0.00663118 | + | 0.0166442i | ||||
\(925\) | 31.7125 | − | 29.4249i | 1.04270 | − | 0.967484i | ||||
\(926\) | −50.2096 | + | 15.4876i | −1.64999 | + | 0.508954i | ||||
\(927\) | 24.7578 | − | 25.8935i | 0.813151 | − | 0.850454i | ||||
\(928\) | −3.82081 | − | 3.54519i | −0.125424 | − | 0.116377i | ||||
\(929\) | 2.22076 | − | 29.6339i | 0.0728607 | − | 0.972258i | −0.834256 | − | 0.551378i | \(-0.814102\pi\) |
0.907116 | − | 0.420880i | \(-0.138279\pi\) | |||||||
\(930\) | −0.0722662 | + | 1.60875i | −0.00236970 | + | 0.0527531i | ||||
\(931\) | −6.17307 | + | 20.3526i | −0.202314 | + | 0.667030i | ||||
\(932\) | 0.105660 | − | 0.183008i | 0.00346100 | − | 0.00599464i | ||||
\(933\) | −22.9124 | + | 30.5634i | −0.750119 | + | 1.00060i | ||||
\(934\) | 3.07408 | − | 13.4684i | 0.100587 | − | 0.440700i | ||||
\(935\) | −0.564233 | − | 1.43764i | −0.0184524 | − | 0.0470159i | ||||
\(936\) | 33.3437 | + | 37.0336i | 1.08987 | + | 1.21048i | ||||
\(937\) | 5.18639 | + | 22.7231i | 0.169432 | + | 0.742330i | 0.986226 | + | 0.165401i | \(0.0528919\pi\) |
−0.816794 | + | 0.576929i | \(0.804251\pi\) | |||||||
\(938\) | 0.823227 | + | 20.6960i | 0.0268793 | + | 0.675749i | ||||
\(939\) | 40.1476 | − | 39.5507i | 1.31017 | − | 1.29069i | ||||
\(940\) | 0.367746 | + | 0.177097i | 0.0119945 | + | 0.00577627i | ||||
\(941\) | 39.3979 | − | 36.5559i | 1.28434 | − | 1.19169i | 0.314137 | − | 0.949378i | \(-0.398285\pi\) |
0.970198 | − | 0.242312i | \(-0.0779056\pi\) | |||||||
\(942\) | 7.56715 | + | 17.7047i | 0.246551 | + | 0.576852i | ||||
\(943\) | 26.1283 | − | 3.93820i | 0.850853 | − | 0.128245i | ||||
\(944\) | 45.9371 | − | 22.1222i | 1.49513 | − | 0.720015i | ||||
\(945\) | −1.25407 | − | 9.63095i | −0.0407950 | − | 0.313295i | ||||
\(946\) | −3.02650 | − | 1.45748i | −0.0983999 | − | 0.0473869i | ||||
\(947\) | 45.3247 | + | 13.9808i | 1.47285 | + | 0.454315i | 0.924257 | − | 0.381772i | \(-0.124686\pi\) |
0.548597 | + | 0.836087i | \(0.315162\pi\) | |||||||
\(948\) | −0.336156 | + | 0.244226i | −0.0109178 | + | 0.00793210i | ||||
\(949\) | −0.000322645 | 0 | 0.000558837i | −1.04735e−5 | 0 | 1.81406e-5i | ||||
\(950\) | 18.5245 | 0.601013 | ||||||||
\(951\) | −3.69604 | − | 35.1690i | −0.119852 | − | 1.14043i | ||||
\(952\) | 20.8534 | + | 10.9586i | 0.675863 | + | 0.355169i | ||||
\(953\) | 36.8434 | − | 46.2002i | 1.19348 | − | 1.49657i | 0.370179 | − | 0.928960i | \(-0.379296\pi\) |
0.823297 | − | 0.567611i | \(-0.192132\pi\) | |||||||
\(954\) | −20.5609 | − | 5.01810i | −0.665684 | − | 0.162467i | ||||
\(955\) | −0.334623 | + | 0.228142i | −0.0108281 | + | 0.00738250i | ||||
\(956\) | −4.19693 | − | 2.02114i | −0.135739 | − | 0.0653683i | ||||
\(957\) | −1.34917 | + | 6.84928i | −0.0436125 | + | 0.221406i | ||||
\(958\) | 4.11819 | + | 10.4930i | 0.133053 | + | 0.339013i | ||||
\(959\) | 26.9723 | + | 5.03763i | 0.870980 | + | 0.162674i | ||||
\(960\) | 8.46079 | − | 6.14698i | 0.273071 | − | 0.198393i | ||||
\(961\) | 15.0280 | − | 26.0293i | 0.484776 | − | 0.839656i | ||||
\(962\) | 36.8714 | − | 63.8632i | 1.18878 | − | 2.05903i | ||||
\(963\) | −6.86790 | + | 13.7313i | −0.221315 | + | 0.442483i | ||||
\(964\) | −0.494301 | + | 0.458644i | −0.0159204 | + | 0.0147719i | ||||
\(965\) | 0.258744 | + | 3.45269i | 0.00832925 | + | 0.111146i | ||||
\(966\) | −24.8350 | + | 3.61297i | −0.799055 | + | 0.116245i | ||||
\(967\) | 1.10416 | − | 14.7341i | 0.0355075 | − | 0.473815i | −0.950900 | − | 0.309498i | \(-0.899839\pi\) |
0.986408 | − | 0.164317i | \(-0.0525420\pi\) | |||||||
\(968\) | −19.1661 | − | 24.0335i | −0.616021 | − | 0.772466i | ||||
\(969\) | 6.27918 | + | 14.6913i | 0.201716 | + | 0.471952i | ||||
\(970\) | 2.42264 | + | 10.6143i | 0.0777863 | + | 0.340804i | ||||
\(971\) | 4.12589 | + | 55.0561i | 0.132406 | + | 1.76684i | 0.528792 | + | 0.848752i | \(0.322645\pi\) |
−0.396386 | + | 0.918084i | \(0.629736\pi\) | |||||||
\(972\) | 0.192133 | + | 2.56565i | 0.00616266 | + | 0.0822933i | ||||
\(973\) | 11.6212 | − | 5.10292i | 0.372559 | − | 0.163592i | ||||
\(974\) | −20.2887 | + | 18.8252i | −0.650093 | + | 0.603198i | ||||
\(975\) | 31.4548 | − | 30.9871i | 1.00736 | − | 0.992382i | ||||
\(976\) | −52.0969 | − | 7.85234i | −1.66758 | − | 0.251347i | ||||
\(977\) | −29.1755 | + | 8.99943i | −0.933405 | + | 0.287917i | −0.723912 | − | 0.689893i | \(-0.757658\pi\) |
−0.209494 | + | 0.977810i | \(0.567182\pi\) | |||||||
\(978\) | −15.5524 | − | 36.3878i | −0.497312 | − | 1.16355i | ||||
\(979\) | −4.20515 | − | 7.28353i | −0.134397 | − | 0.232783i | ||||
\(980\) | 0.758364 | − | 0.301768i | 0.0242251 | − | 0.00963962i | ||||
\(981\) | −25.5679 | + | 36.3200i | −0.816319 | + | 1.15961i | ||||
\(982\) | −9.07188 | − | 6.18510i | −0.289495 | − | 0.197375i | ||||
\(983\) | −6.49197 | + | 28.4432i | −0.207062 | + | 0.907196i | 0.759448 | + | 0.650568i | \(0.225469\pi\) |
−0.966510 | + | 0.256629i | \(0.917388\pi\) | |||||||
\(984\) | −31.4182 | + | 10.7302i | −1.00158 | + | 0.342067i | ||||
\(985\) | 3.56473 | − | 15.6181i | 0.113582 | − | 0.497634i | ||||
\(986\) | 21.9966 | + | 6.78505i | 0.700514 | + | 0.216080i | ||||
\(987\) | 11.7032 | + | 10.9713i | 0.372517 | + | 0.349221i | ||||
\(988\) | −2.71405 | + | 0.837174i | −0.0863454 | + | 0.0266340i | ||||
\(989\) | 1.04048 | + | 13.8842i | 0.0330853 | + | 0.441493i | ||||
\(990\) | −1.91282 | − | 0.783995i | −0.0607935 | − | 0.0249170i | ||||
\(991\) | 2.86900 | − | 38.2842i | 0.0911369 | − | 1.21614i | −0.744791 | − | 0.667298i | \(-0.767451\pi\) |
0.835928 | − | 0.548840i | \(-0.184930\pi\) | |||||||
\(992\) | 0.894599 | − | 0.134839i | 0.0284035 | − | 0.00428115i | ||||
\(993\) | −21.3476 | − | 2.56737i | −0.677446 | − | 0.0814731i | ||||
\(994\) | −48.0794 | + | 21.1118i | −1.52498 | + | 0.669626i | ||||
\(995\) | 7.40843 | − | 5.05098i | 0.234863 | − | 0.160127i | ||||
\(996\) | 1.01676 | − | 2.83738i | 0.0322174 | − | 0.0899059i | ||||
\(997\) | 23.8669 | + | 29.9282i | 0.755874 | + | 0.947836i | 0.999759 | − | 0.0219684i | \(-0.00699331\pi\) |
−0.243885 | + | 0.969804i | \(0.578422\pi\) | |||||||
\(998\) | −23.5673 | + | 40.8198i | −0.746011 | + | 1.29213i | ||||
\(999\) | 46.2133 | − | 18.9383i | 1.46212 | − | 0.599181i |
(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 | 441.2.z.a.4.17 | yes | 648 | |
9.7 | even | 3 | 441.2.y.a.151.38 | ✓ | 648 | ||
49.37 | even | 21 | 441.2.y.a.184.38 | yes | 648 | ||
441.331 | even | 21 | inner | 441.2.z.a.331.17 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.151.38 | ✓ | 648 | 9.7 | even | 3 | ||
441.2.y.a.184.38 | yes | 648 | 49.37 | even | 21 | ||
441.2.z.a.4.17 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.331.17 | yes | 648 | 441.331 | even | 21 | inner |