Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 107.8 | ||
Character | \(\chi\) | \(=\) | 230.107 |
Dual form | 230.2.l.a.43.8 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.800541 | − | 0.599278i | 0.566068 | − | 0.423753i | ||||
\(3\) | −1.19905 | − | 0.447221i | −0.692270 | − | 0.258203i | −0.0213919 | − | 0.999771i | \(-0.506810\pi\) |
−0.670878 | + | 0.741568i | \(0.734083\pi\) | |||||||
\(4\) | 0.281733 | − | 0.959493i | 0.140866 | − | 0.479746i | ||||
\(5\) | −1.17492 | − | 1.90251i | −0.525440 | − | 0.850830i | ||||
\(6\) | −1.22790 | + | 0.360543i | −0.501286 | + | 0.147191i | ||||
\(7\) | −4.10116 | + | 0.892152i | −1.55009 | + | 0.337202i | −0.904498 | − | 0.426479i | \(-0.859754\pi\) |
−0.645594 | + | 0.763681i | \(0.723390\pi\) | |||||||
\(8\) | −0.349464 | − | 0.936950i | −0.123554 | − | 0.331262i | ||||
\(9\) | −1.02954 | − | 0.892104i | −0.343181 | − | 0.297368i | ||||
\(10\) | −2.08071 | − | 0.818938i | −0.657977 | − | 0.258971i | ||||
\(11\) | 2.30200 | − | 0.330978i | 0.694080 | − | 0.0997936i | 0.213759 | − | 0.976886i | \(-0.431429\pi\) |
0.480321 | + | 0.877093i | \(0.340520\pi\) | |||||||
\(12\) | −0.766916 | + | 1.02448i | −0.221390 | + | 0.295742i | ||||
\(13\) | −0.202830 | + | 0.932393i | −0.0562548 | + | 0.258599i | −0.996682 | − | 0.0813964i | \(-0.974062\pi\) |
0.940427 | + | 0.339996i | \(0.110426\pi\) | |||||||
\(14\) | −2.74850 | + | 3.17194i | −0.734567 | + | 0.847736i | ||||
\(15\) | 0.557939 | + | 2.80665i | 0.144059 | + | 0.724675i | ||||
\(16\) | −0.841254 | − | 0.540641i | −0.210313 | − | 0.135160i | ||||
\(17\) | 3.53412 | − | 6.47225i | 0.857149 | − | 1.56975i | 0.0357758 | − | 0.999360i | \(-0.488610\pi\) |
0.821373 | − | 0.570391i | \(-0.193208\pi\) | |||||||
\(18\) | −1.35881 | − | 0.0971840i | −0.320275 | − | 0.0229065i | ||||
\(19\) | 2.40484 | + | 0.706126i | 0.551709 | + | 0.161996i | 0.545693 | − | 0.837985i | \(-0.316267\pi\) |
0.00601663 | + | 0.999982i | \(0.498085\pi\) | |||||||
\(20\) | −2.15646 | + | 0.591327i | −0.482200 | + | 0.132225i | ||||
\(21\) | 5.31647 | + | 0.764393i | 1.16015 | + | 0.166804i | ||||
\(22\) | 1.64450 | − | 1.64450i | 0.350608 | − | 0.350608i | ||||
\(23\) | −4.75448 | − | 0.628433i | −0.991377 | − | 0.131037i | ||||
\(24\) | 1.27973i | 0.261225i | ||||||||
\(25\) | −2.23913 | + | 4.47061i | −0.447825 | + | 0.894121i | ||||
\(26\) | 0.396389 | + | 0.867970i | 0.0777382 | + | 0.170223i | ||||
\(27\) | 2.67544 | + | 4.89969i | 0.514888 | + | 0.942947i | ||||
\(28\) | −0.299416 | + | 4.18638i | −0.0565843 | + | 0.791152i | ||||
\(29\) | −1.30732 | − | 4.45233i | −0.242764 | − | 0.826777i | −0.987255 | − | 0.159145i | \(-0.949126\pi\) |
0.744491 | − | 0.667632i | \(-0.232692\pi\) | |||||||
\(30\) | 2.12862 | + | 1.91248i | 0.388631 | + | 0.349170i | ||||
\(31\) | 4.15467 | − | 9.09747i | 0.746202 | − | 1.63395i | −0.0268732 | − | 0.999639i | \(-0.508555\pi\) |
0.773075 | − | 0.634315i | \(-0.218718\pi\) | |||||||
\(32\) | −0.997452 | + | 0.0713392i | −0.176326 | + | 0.0126111i | ||||
\(33\) | −2.90823 | − | 0.632646i | −0.506257 | − | 0.110130i | ||||
\(34\) | −1.04947 | − | 7.29922i | −0.179982 | − | 1.25181i | ||||
\(35\) | 6.51587 | + | 6.75431i | 1.10138 | + | 1.14169i | ||||
\(36\) | −1.14602 | + | 0.736505i | −0.191004 | + | 0.122751i | ||||
\(37\) | −0.541530 | − | 7.57158i | −0.0890270 | − | 1.24476i | −0.823971 | − | 0.566632i | \(-0.808246\pi\) |
0.734944 | − | 0.678128i | \(-0.237209\pi\) | |||||||
\(38\) | 2.34834 | − | 0.875887i | 0.380952 | − | 0.142088i | ||||
\(39\) | 0.660188 | − | 1.02727i | 0.105715 | − | 0.164495i | ||||
\(40\) | −1.37197 | + | 1.76570i | −0.216927 | + | 0.279182i | ||||
\(41\) | 5.61379 | + | 6.47866i | 0.876727 | + | 1.01180i | 0.999812 | + | 0.0194008i | \(0.00617586\pi\) |
−0.123085 | + | 0.992396i | \(0.539279\pi\) | |||||||
\(42\) | 4.71414 | − | 2.57411i | 0.727407 | − | 0.397194i | ||||
\(43\) | −2.77382 | + | 7.43689i | −0.423003 | + | 1.13411i | 0.534368 | + | 0.845252i | \(0.320550\pi\) |
−0.957371 | + | 0.288863i | \(0.906723\pi\) | |||||||
\(44\) | 0.330978 | − | 2.30200i | 0.0498968 | − | 0.347040i | ||||
\(45\) | −0.487611 | + | 3.00687i | −0.0726887 | + | 0.448238i | ||||
\(46\) | −4.18276 | + | 2.34617i | −0.616715 | + | 0.345923i | ||||
\(47\) | 7.75527 | + | 7.75527i | 1.13122 | + | 1.13122i | 0.989974 | + | 0.141248i | \(0.0451116\pi\) |
0.141248 | + | 0.989974i | \(0.454888\pi\) | |||||||
\(48\) | 0.766916 | + | 1.02448i | 0.110695 | + | 0.147871i | ||||
\(49\) | 9.65614 | − | 4.40981i | 1.37945 | − | 0.629973i | ||||
\(50\) | 0.886622 | + | 4.92076i | 0.125387 | + | 0.695901i | ||||
\(51\) | −7.13210 | + | 6.18000i | −0.998693 | + | 0.865372i | ||||
\(52\) | 0.837481 | + | 0.457299i | 0.116138 | + | 0.0634160i | ||||
\(53\) | −0.963499 | − | 4.42914i | −0.132347 | − | 0.608389i | −0.994765 | − | 0.102192i | \(-0.967415\pi\) |
0.862418 | − | 0.506197i | \(-0.168949\pi\) | |||||||
\(54\) | 5.07807 | + | 2.31908i | 0.691038 | + | 0.315587i | ||||
\(55\) | −3.33436 | − | 3.99072i | −0.449605 | − | 0.538108i | ||||
\(56\) | 2.26911 | + | 3.53080i | 0.303223 | + | 0.471823i | ||||
\(57\) | −2.56773 | − | 1.92218i | −0.340104 | − | 0.254598i | ||||
\(58\) | −3.71475 | − | 2.78083i | −0.487770 | − | 0.365140i | ||||
\(59\) | 2.26860 | + | 3.53001i | 0.295347 | + | 0.459568i | 0.956936 | − | 0.290298i | \(-0.0937543\pi\) |
−0.661590 | + | 0.749866i | \(0.730118\pi\) | |||||||
\(60\) | 2.85015 | + | 0.255387i | 0.367953 | + | 0.0329703i | ||||
\(61\) | −6.04865 | − | 2.76233i | −0.774450 | − | 0.353680i | −0.0113298 | − | 0.999936i | \(-0.503606\pi\) |
−0.763121 | + | 0.646256i | \(0.776334\pi\) | |||||||
\(62\) | −2.12592 | − | 9.77270i | −0.269992 | − | 1.24113i | ||||
\(63\) | 5.01821 | + | 2.74015i | 0.632235 | + | 0.345227i | ||||
\(64\) | −0.755750 | + | 0.654861i | −0.0944687 | + | 0.0818576i | ||||
\(65\) | 2.01220 | − | 0.709601i | 0.249583 | − | 0.0880152i | ||||
\(66\) | −2.70729 | + | 1.23638i | −0.333244 | + | 0.152187i | ||||
\(67\) | −6.85679 | − | 9.15961i | −0.837691 | − | 1.11902i | −0.991395 | − | 0.130907i | \(-0.958211\pi\) |
0.153704 | − | 0.988117i | \(-0.450880\pi\) | |||||||
\(68\) | −5.21440 | − | 5.21440i | −0.632339 | − | 0.632339i | ||||
\(69\) | 5.41979 | + | 2.87982i | 0.652466 | + | 0.346690i | ||||
\(70\) | 9.26392 | + | 1.50229i | 1.10725 | + | 0.179558i | ||||
\(71\) | 0.111335 | − | 0.774350i | 0.0132130 | − | 0.0918984i | −0.982148 | − | 0.188111i | \(-0.939764\pi\) |
0.995361 | + | 0.0962122i | \(0.0306727\pi\) | |||||||
\(72\) | −0.476068 | + | 1.27639i | −0.0561052 | + | 0.150424i | ||||
\(73\) | 2.62851 | − | 1.43528i | 0.307644 | − | 0.167986i | −0.318009 | − | 0.948088i | \(-0.603014\pi\) |
0.625653 | + | 0.780101i | \(0.284832\pi\) | |||||||
\(74\) | −4.97100 | − | 5.73684i | −0.577867 | − | 0.666894i | ||||
\(75\) | 4.68416 | − | 4.35908i | 0.540881 | − | 0.503343i | ||||
\(76\) | 1.35505 | − | 2.10849i | 0.155434 | − | 0.241861i | ||||
\(77\) | −9.14559 | + | 3.41113i | −1.04224 | + | 0.388734i | ||||
\(78\) | −0.0871138 | − | 1.21801i | −0.00986370 | − | 0.137913i | ||||
\(79\) | 0.534202 | − | 0.343311i | 0.0601024 | − | 0.0386255i | −0.510245 | − | 0.860029i | \(-0.670445\pi\) |
0.570347 | + | 0.821404i | \(0.306809\pi\) | |||||||
\(80\) | −0.0401714 | + | 2.23571i | −0.00449130 | + | 0.249960i | ||||
\(81\) | −0.435106 | − | 3.02623i | −0.0483451 | − | 0.336247i | ||||
\(82\) | 8.37659 | + | 1.82222i | 0.925040 | + | 0.201230i | ||||
\(83\) | −9.40218 | + | 0.672457i | −1.03202 | + | 0.0738118i | −0.577063 | − | 0.816700i | \(-0.695801\pi\) |
−0.454961 | + | 0.890512i | \(0.650347\pi\) | |||||||
\(84\) | 2.23125 | − | 4.88576i | 0.243449 | − | 0.533080i | ||||
\(85\) | −16.4659 | + | 0.880669i | −1.78597 | + | 0.0955220i | ||||
\(86\) | 2.23621 | + | 7.61582i | 0.241136 | + | 0.821235i | ||||
\(87\) | −0.423637 | + | 5.92321i | −0.0454186 | + | 0.635035i | ||||
\(88\) | −1.11458 | − | 2.04119i | −0.118814 | − | 0.217592i | ||||
\(89\) | 1.06924 | + | 2.34132i | 0.113340 | + | 0.248179i | 0.957798 | − | 0.287442i | \(-0.0928048\pi\) |
−0.844458 | + | 0.535621i | \(0.820078\pi\) | |||||||
\(90\) | 1.41160 | + | 2.69934i | 0.148796 | + | 0.284535i | ||||
\(91\) | − | 4.00485i | − | 0.419822i | ||||||
\(92\) | −1.94247 | + | 4.38484i | −0.202516 | + | 0.457151i | ||||
\(93\) | −9.05023 | + | 9.05023i | −0.938465 | + | 0.938465i | ||||
\(94\) | 10.8560 | + | 1.56085i | 1.11971 | + | 0.160990i | ||||
\(95\) | −1.48209 | − | 5.40489i | −0.152059 | − | 0.554530i | ||||
\(96\) | 1.22790 | + | 0.360543i | 0.125322 | + | 0.0367977i | ||||
\(97\) | −0.460547 | − | 0.0329390i | −0.0467614 | − | 0.00334444i | 0.0479389 | − | 0.998850i | \(-0.484735\pi\) |
−0.0947003 | + | 0.995506i | \(0.530189\pi\) | |||||||
\(98\) | 5.08743 | − | 9.31694i | 0.513909 | − | 0.941153i | ||||
\(99\) | −2.66528 | − | 1.71287i | −0.267870 | − | 0.172150i | ||||
\(100\) | 3.65868 | + | 3.40794i | 0.365868 | + | 0.340794i | ||||
\(101\) | 1.10510 | − | 1.27535i | 0.109961 | − | 0.126902i | −0.698101 | − | 0.716000i | \(-0.745971\pi\) |
0.808062 | + | 0.589097i | \(0.200517\pi\) | |||||||
\(102\) | −2.00600 | + | 9.22145i | −0.198624 | + | 0.913059i | ||||
\(103\) | 1.74457 | − | 2.33048i | 0.171898 | − | 0.229629i | −0.706316 | − | 0.707897i | \(-0.749644\pi\) |
0.878214 | + | 0.478268i | \(0.158735\pi\) | |||||||
\(104\) | 0.944487 | − | 0.135797i | 0.0926146 | − | 0.0133160i | ||||
\(105\) | −4.79216 | − | 11.0128i | −0.467667 | − | 1.07474i | ||||
\(106\) | −3.42560 | − | 2.96830i | −0.332724 | − | 0.288307i | ||||
\(107\) | −0.266339 | − | 0.714084i | −0.0257480 | − | 0.0690331i | 0.923440 | − | 0.383744i | \(-0.125365\pi\) |
−0.949188 | + | 0.314710i | \(0.898093\pi\) | |||||||
\(108\) | 5.45498 | − | 1.18666i | 0.524906 | − | 0.114186i | ||||
\(109\) | −7.54712 | + | 2.21603i | −0.722883 | + | 0.212257i | −0.622420 | − | 0.782683i | \(-0.713850\pi\) |
−0.100463 | + | 0.994941i | \(0.532032\pi\) | |||||||
\(110\) | −5.06084 | − | 1.19653i | −0.482532 | − | 0.114085i | ||||
\(111\) | −2.73685 | + | 9.32086i | −0.259771 | + | 0.884697i | ||||
\(112\) | 3.93245 | + | 1.46673i | 0.371581 | + | 0.138593i | ||||
\(113\) | 9.05110 | − | 6.77557i | 0.851456 | − | 0.637392i | −0.0817821 | − | 0.996650i | \(-0.526061\pi\) |
0.933238 | + | 0.359258i | \(0.116970\pi\) | |||||||
\(114\) | −3.20749 | −0.300409 | ||||||||
\(115\) | 4.39053 | + | 9.78383i | 0.409419 | + | 0.912346i | ||||
\(116\) | −4.64030 | −0.430841 | ||||||||
\(117\) | 1.04061 | − | 0.778994i | 0.0962048 | − | 0.0720180i | ||||
\(118\) | 3.93156 | + | 1.46640i | 0.361930 | + | 0.134993i | ||||
\(119\) | −8.71973 | + | 29.6967i | −0.799337 | + | 2.72229i | ||||
\(120\) | 2.43471 | − | 1.50359i | 0.222258 | − | 0.137258i | ||||
\(121\) | −5.36476 | + | 1.57524i | −0.487705 | + | 0.143203i | ||||
\(122\) | −6.49759 | + | 1.41347i | −0.588265 | + | 0.127969i | ||||
\(123\) | −3.83380 | − | 10.2788i | −0.345682 | − | 0.926810i | ||||
\(124\) | −7.55845 | − | 6.54943i | −0.678769 | − | 0.588157i | ||||
\(125\) | 11.1362 | − | 0.992636i | 0.996051 | − | 0.0887841i | ||||
\(126\) | 5.65940 | − | 0.813699i | 0.504179 | − | 0.0724900i | ||||
\(127\) | −3.45062 | + | 4.60949i | −0.306193 | + | 0.409026i | −0.927074 | − | 0.374879i | \(-0.877684\pi\) |
0.620881 | + | 0.783905i | \(0.286775\pi\) | |||||||
\(128\) | −0.212565 | + | 0.977147i | −0.0187883 | + | 0.0863684i | ||||
\(129\) | 6.65187 | − | 7.67666i | 0.585664 | − | 0.675893i | ||||
\(130\) | 1.18560 | − | 1.77393i | 0.103984 | − | 0.155584i | ||||
\(131\) | 8.00295 | + | 5.14318i | 0.699221 | + | 0.449362i | 0.841353 | − | 0.540486i | \(-0.181760\pi\) |
−0.142133 | + | 0.989848i | \(0.545396\pi\) | |||||||
\(132\) | −1.42636 | + | 2.61219i | −0.124149 | + | 0.227362i | ||||
\(133\) | −10.4926 | − | 0.750447i | −0.909825 | − | 0.0650720i | ||||
\(134\) | −10.9783 | − | 3.22352i | −0.948380 | − | 0.278470i | ||||
\(135\) | 6.17832 | − | 10.8468i | 0.531745 | − | 0.933544i | ||||
\(136\) | −7.29922 | − | 1.04947i | −0.625903 | − | 0.0899912i | ||||
\(137\) | 12.5073 | − | 12.5073i | 1.06857 | − | 1.06857i | 0.0711032 | − | 0.997469i | \(-0.477348\pi\) |
0.997469 | − | 0.0711032i | \(-0.0226520\pi\) | |||||||
\(138\) | 6.06458 | − | 0.942543i | 0.516251 | − | 0.0802346i | ||||
\(139\) | − | 10.7645i | − | 0.913036i | −0.889714 | − | 0.456518i | \(-0.849096\pi\) | ||
0.889714 | − | 0.456518i | \(-0.150904\pi\) | |||||||
\(140\) | 8.31644 | − | 4.34902i | 0.702868 | − | 0.367559i | ||||
\(141\) | −5.83061 | − | 12.7672i | −0.491026 | − | 1.07520i | ||||
\(142\) | −0.374922 | − | 0.686619i | −0.0314628 | − | 0.0576198i | ||||
\(143\) | −0.158313 | + | 2.21350i | −0.0132388 | + | 0.185102i | ||||
\(144\) | 0.383799 | + | 1.30710i | 0.0319832 | + | 0.108925i | ||||
\(145\) | −6.93463 | + | 7.71833i | −0.575889 | + | 0.640973i | ||||
\(146\) | 1.24410 | − | 2.72421i | 0.102963 | − | 0.225457i | ||||
\(147\) | −13.5503 | + | 0.969138i | −1.11761 | + | 0.0799331i | ||||
\(148\) | −7.41745 | − | 1.61357i | −0.609710 | − | 0.132634i | ||||
\(149\) | 0.228791 | + | 1.59128i | 0.0187433 | + | 0.130363i | 0.997045 | − | 0.0768246i | \(-0.0244781\pi\) |
−0.978301 | + | 0.207187i | \(0.933569\pi\) | |||||||
\(150\) | 1.13757 | − | 6.29674i | 0.0928820 | − | 0.514127i | ||||
\(151\) | 3.55628 | − | 2.28548i | 0.289406 | − | 0.185990i | −0.387880 | − | 0.921710i | \(-0.626792\pi\) |
0.677286 | + | 0.735720i | \(0.263156\pi\) | |||||||
\(152\) | −0.178802 | − | 2.49998i | −0.0145028 | − | 0.202775i | ||||
\(153\) | −9.41245 | + | 3.51066i | −0.760951 | + | 0.283820i | ||||
\(154\) | −5.27721 | + | 8.21150i | −0.425250 | + | 0.661701i | ||||
\(155\) | −22.1895 | + | 2.78447i | −1.78230 | + | 0.223654i | ||||
\(156\) | −0.799665 | − | 0.922862i | −0.0640244 | − | 0.0738881i | ||||
\(157\) | 6.65340 | − | 3.63303i | 0.530999 | − | 0.289947i | −0.191296 | − | 0.981532i | \(-0.561269\pi\) |
0.722295 | + | 0.691585i | \(0.243087\pi\) | |||||||
\(158\) | 0.221912 | − | 0.594970i | 0.0176544 | − | 0.0473333i | ||||
\(159\) | −0.825523 | + | 5.74164i | −0.0654682 | + | 0.455341i | ||||
\(160\) | 1.30765 | + | 1.81385i | 0.103379 | + | 0.143397i | ||||
\(161\) | 20.0595 | − | 1.66442i | 1.58091 | − | 0.131175i | ||||
\(162\) | −2.16187 | − | 2.16187i | −0.169853 | − | 0.169853i | ||||
\(163\) | 3.67376 | + | 4.90757i | 0.287751 | + | 0.384390i | 0.921003 | − | 0.389555i | \(-0.127371\pi\) |
−0.633252 | + | 0.773946i | \(0.718280\pi\) | |||||||
\(164\) | 7.79782 | − | 3.56114i | 0.608907 | − | 0.278079i | ||||
\(165\) | 2.21332 | + | 6.27625i | 0.172306 | + | 0.488606i | ||||
\(166\) | −7.12384 | + | 6.17285i | −0.552917 | + | 0.479106i | ||||
\(167\) | −15.2079 | − | 8.30414i | −1.17682 | − | 0.642593i | −0.232816 | − | 0.972521i | \(-0.574794\pi\) |
−0.944006 | + | 0.329927i | \(0.892976\pi\) | |||||||
\(168\) | −1.14172 | − | 5.24839i | −0.0880854 | − | 0.404922i | ||||
\(169\) | 10.9970 | + | 5.02216i | 0.845923 | + | 0.386320i | ||||
\(170\) | −12.6538 | + | 10.5726i | −0.970504 | + | 0.810884i | ||||
\(171\) | −1.84595 | − | 2.87236i | −0.141164 | − | 0.219655i | ||||
\(172\) | 6.35417 | + | 4.75667i | 0.484501 | + | 0.362693i | ||||
\(173\) | 16.2063 | + | 12.1319i | 1.23215 | + | 0.922372i | 0.998749 | − | 0.0500095i | \(-0.0159251\pi\) |
0.233396 | + | 0.972382i | \(0.425016\pi\) | |||||||
\(174\) | 3.21051 | + | 4.99565i | 0.243388 | + | 0.378720i | ||||
\(175\) | 5.19454 | − | 20.3323i | 0.392671 | − | 1.53698i | ||||
\(176\) | −2.11551 | − | 0.966120i | −0.159462 | − | 0.0728240i | ||||
\(177\) | −1.14146 | − | 5.24721i | −0.0857975 | − | 0.394405i | ||||
\(178\) | 2.25907 | + | 1.23355i | 0.169325 | + | 0.0924582i | ||||
\(179\) | −2.95070 | + | 2.55680i | −0.220546 | + | 0.191104i | −0.758125 | − | 0.652109i | \(-0.773884\pi\) |
0.537579 | + | 0.843213i | \(0.319339\pi\) | |||||||
\(180\) | 2.74770 | + | 1.31499i | 0.204801 | + | 0.0980138i | ||||
\(181\) | 0.751070 | − | 0.343002i | 0.0558266 | − | 0.0254952i | −0.387306 | − | 0.921951i | \(-0.626594\pi\) |
0.443133 | + | 0.896456i | \(0.353867\pi\) | |||||||
\(182\) | −2.40002 | − | 3.20604i | −0.177901 | − | 0.237648i | ||||
\(183\) | 6.01724 | + | 6.01724i | 0.444807 | + | 0.444807i | ||||
\(184\) | 1.07271 | + | 4.67432i | 0.0790813 | + | 0.344596i | ||||
\(185\) | −13.7688 | + | 9.92628i | −1.01230 | + | 0.729794i | ||||
\(186\) | −1.82148 | + | 12.6687i | −0.133557 | + | 0.928913i | ||||
\(187\) | 5.99337 | − | 16.0688i | 0.438278 | − | 1.17507i | ||||
\(188\) | 9.62604 | − | 5.25622i | 0.702051 | − | 0.383349i | ||||
\(189\) | −15.3437 | − | 17.7075i | −1.11609 | − | 1.28803i | ||||
\(190\) | −4.42550 | − | 3.43866i | −0.321060 | − | 0.249467i | ||||
\(191\) | 1.67203 | − | 2.60173i | 0.120984 | − | 0.188254i | −0.775479 | − | 0.631373i | \(-0.782492\pi\) |
0.896463 | + | 0.443119i | \(0.146128\pi\) | |||||||
\(192\) | 1.19905 | − | 0.447221i | 0.0865337 | − | 0.0322754i | ||||
\(193\) | −0.207894 | − | 2.90673i | −0.0149645 | − | 0.209231i | −0.999433 | − | 0.0336699i | \(-0.989281\pi\) |
0.984468 | − | 0.175561i | \(-0.0561740\pi\) | |||||||
\(194\) | −0.388426 | + | 0.249626i | −0.0278874 | + | 0.0179221i | ||||
\(195\) | −2.73007 | − | 0.0490542i | −0.195504 | − | 0.00351284i | ||||
\(196\) | −1.51073 | − | 10.5074i | −0.107910 | − | 0.750527i | ||||
\(197\) | 6.89071 | + | 1.49898i | 0.490943 | + | 0.106798i | 0.451220 | − | 0.892413i | \(-0.350989\pi\) |
0.0397226 | + | 0.999211i | \(0.487353\pi\) | |||||||
\(198\) | −3.16015 | + | 0.226018i | −0.224582 | + | 0.0160624i | ||||
\(199\) | 0.216123 | − | 0.473242i | 0.0153205 | − | 0.0335473i | −0.901817 | − | 0.432118i | \(-0.857766\pi\) |
0.917138 | + | 0.398571i | \(0.130494\pi\) | |||||||
\(200\) | 4.97123 | + | 0.535631i | 0.351519 | + | 0.0378748i | ||||
\(201\) | 4.12525 | + | 14.0493i | 0.290972 | + | 0.990961i | ||||
\(202\) | 0.120387 | − | 1.68323i | 0.00847041 | − | 0.118432i | ||||
\(203\) | 9.33369 | + | 17.0934i | 0.655097 | + | 1.19972i | ||||
\(204\) | 3.92032 | + | 8.58430i | 0.274477 | + | 0.601021i | ||||
\(205\) | 5.72999 | − | 18.2922i | 0.400200 | − | 1.27759i | ||||
\(206\) | − | 2.91113i | − | 0.202828i | ||||||
\(207\) | 4.33432 | + | 4.88849i | 0.301256 | + | 0.339774i | ||||
\(208\) | 0.674721 | − | 0.674721i | 0.0467835 | − | 0.0467835i | ||||
\(209\) | 5.76967 | + | 0.829553i | 0.399096 | + | 0.0573814i | ||||
\(210\) | −10.4360 | − | 5.94434i | −0.720154 | − | 0.410198i | ||||
\(211\) | −8.51242 | − | 2.49947i | −0.586019 | − | 0.172071i | −0.0247350 | − | 0.999694i | \(-0.507874\pi\) |
−0.561284 | + | 0.827623i | \(0.689692\pi\) | |||||||
\(212\) | −4.52117 | − | 0.323361i | −0.310515 | − | 0.0222085i | ||||
\(213\) | −0.479801 | + | 0.878690i | −0.0328754 | + | 0.0602068i | ||||
\(214\) | −0.641150 | − | 0.412042i | −0.0438281 | − | 0.0281666i | ||||
\(215\) | 17.4078 | − | 3.46052i | 1.18720 | − | 0.236006i | ||||
\(216\) | 3.65580 | − | 4.21902i | 0.248746 | − | 0.287068i | ||||
\(217\) | −8.92265 | + | 41.0168i | −0.605709 | + | 2.78440i | ||||
\(218\) | −4.71376 | + | 6.29684i | −0.319256 | + | 0.426476i | ||||
\(219\) | −3.79359 | + | 0.545436i | −0.256347 | + | 0.0368572i | ||||
\(220\) | −4.76846 | + | 2.07498i | −0.321490 | + | 0.139895i | ||||
\(221\) | 5.31786 | + | 4.60795i | 0.357718 | + | 0.309964i | ||||
\(222\) | 3.39482 | + | 9.10187i | 0.227846 | + | 0.610878i | ||||
\(223\) | 20.9975 | − | 4.56772i | 1.40609 | − | 0.305877i | 0.555419 | − | 0.831570i | \(-0.312558\pi\) |
0.850674 | + | 0.525693i | \(0.176194\pi\) | |||||||
\(224\) | 4.02706 | − | 1.18245i | 0.269069 | − | 0.0790059i | ||||
\(225\) | 6.29352 | − | 2.60515i | 0.419568 | − | 0.173677i | ||||
\(226\) | 3.18533 | − | 10.8482i | 0.211885 | − | 0.721615i | ||||
\(227\) | 9.93587 | + | 3.70589i | 0.659467 | + | 0.245968i | 0.656842 | − | 0.754028i | \(-0.271892\pi\) |
0.00262466 | + | 0.999997i | \(0.499165\pi\) | |||||||
\(228\) | −2.56773 | + | 1.92218i | −0.170052 | + | 0.127299i | ||||
\(229\) | −1.22852 | −0.0811829 | −0.0405915 | − | 0.999176i | \(-0.512924\pi\) | ||||
−0.0405915 | + | 0.999176i | \(0.512924\pi\) | |||||||
\(230\) | 9.37803 | + | 5.20121i | 0.618369 | + | 0.342958i | ||||
\(231\) | 12.4915 | 0.821881 | ||||||||
\(232\) | −3.71475 | + | 2.78083i | −0.243885 | + | 0.182570i | ||||
\(233\) | 22.5396 | + | 8.40683i | 1.47662 | + | 0.550750i | 0.953469 | − | 0.301492i | \(-0.0974847\pi\) |
0.523148 | + | 0.852242i | \(0.324757\pi\) | |||||||
\(234\) | 0.366221 | − | 1.24723i | 0.0239406 | − | 0.0815342i | ||||
\(235\) | 5.64269 | − | 23.8663i | 0.368089 | − | 1.55687i | ||||
\(236\) | 4.02616 | − | 1.18219i | 0.262081 | − | 0.0769538i | ||||
\(237\) | −0.794069 | + | 0.172739i | −0.0515803 | + | 0.0112206i | ||||
\(238\) | 10.8161 | + | 28.9990i | 0.701101 | + | 1.87972i | ||||
\(239\) | 6.74672 | + | 5.84607i | 0.436409 | + | 0.378151i | 0.845176 | − | 0.534488i | \(-0.179496\pi\) |
−0.408767 | + | 0.912639i | \(0.634041\pi\) | |||||||
\(240\) | 1.04802 | − | 2.66275i | 0.0676496 | − | 0.171880i | ||||
\(241\) | 9.42581 | − | 1.35523i | 0.607170 | − | 0.0872979i | 0.168129 | − | 0.985765i | \(-0.446227\pi\) |
0.439041 | + | 0.898467i | \(0.355318\pi\) | |||||||
\(242\) | −3.35071 | + | 4.47602i | −0.215392 | + | 0.287729i | ||||
\(243\) | 2.72829 | − | 12.5418i | 0.175020 | − | 0.804555i | ||||
\(244\) | −4.35453 | + | 5.02540i | −0.278770 | + | 0.321718i | ||||
\(245\) | −19.7349 | − | 13.1898i | −1.26082 | − | 0.842663i | ||||
\(246\) | −9.22899 | − | 5.93111i | −0.588419 | − | 0.378154i | ||||
\(247\) | −1.14616 | + | 2.09904i | −0.0729285 | + | 0.133559i | ||||
\(248\) | −9.97578 | − | 0.713482i | −0.633463 | − | 0.0453061i | ||||
\(249\) | 11.5744 | + | 3.39855i | 0.733497 | + | 0.215374i | ||||
\(250\) | 8.32011 | − | 7.46831i | 0.526210 | − | 0.472338i | ||||
\(251\) | −17.2115 | − | 2.47464i | −1.08638 | − | 0.156198i | −0.424220 | − | 0.905559i | \(-0.639452\pi\) |
−0.662161 | + | 0.749361i | \(0.730361\pi\) | |||||||
\(252\) | 4.04295 | − | 4.04295i | 0.254682 | − | 0.254682i | ||||
\(253\) | −11.1528 | + | 0.126975i | −0.701171 | + | 0.00798283i | ||||
\(254\) | 5.75797i | 0.361287i | ||||||||
\(255\) | 20.1372 | + | 6.30792i | 1.26104 | + | 0.395017i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 9.65774 | + | 17.6868i | 0.602433 | + | 1.10327i | 0.983871 | + | 0.178880i | \(0.0572473\pi\) |
−0.381437 | + | 0.924395i | \(0.624571\pi\) | |||||||
\(258\) | 0.724641 | − | 10.1318i | 0.0451142 | − | 0.630778i | ||||
\(259\) | 8.97591 | + | 30.5691i | 0.557736 | + | 1.89947i | ||||
\(260\) | −0.113955 | − | 2.13061i | −0.00706718 | − | 0.132135i | ||||
\(261\) | −2.62600 | + | 5.75014i | −0.162545 | + | 0.355925i | ||||
\(262\) | 9.48888 | − | 0.678658i | 0.586225 | − | 0.0419276i | ||||
\(263\) | 15.1458 | + | 3.29477i | 0.933930 | + | 0.203164i | 0.653687 | − | 0.756765i | \(-0.273221\pi\) |
0.280243 | + | 0.959929i | \(0.409585\pi\) | |||||||
\(264\) | 0.423564 | + | 2.94595i | 0.0260685 | + | 0.181311i | ||||
\(265\) | −7.29446 | + | 7.03695i | −0.448095 | + | 0.432277i | ||||
\(266\) | −8.84950 | + | 5.68723i | −0.542598 | + | 0.348706i | ||||
\(267\) | −0.234986 | − | 3.28554i | −0.0143809 | − | 0.201072i | ||||
\(268\) | −10.7204 | + | 3.99849i | −0.654850 | + | 0.244246i | ||||
\(269\) | −0.493919 | + | 0.768553i | −0.0301148 | + | 0.0468595i | −0.855985 | − | 0.517001i | \(-0.827048\pi\) |
0.825870 | + | 0.563861i | \(0.190685\pi\) | |||||||
\(270\) | −1.55425 | − | 12.3858i | −0.0945887 | − | 0.753778i | ||||
\(271\) | −1.03436 | − | 1.19371i | −0.0628326 | − | 0.0725127i | 0.723463 | − | 0.690363i | \(-0.242549\pi\) |
−0.786296 | + | 0.617850i | \(0.788004\pi\) | |||||||
\(272\) | −6.47225 | + | 3.53412i | −0.392438 | + | 0.214287i | ||||
\(273\) | −1.79105 | + | 4.80200i | −0.108399 | + | 0.290630i | ||||
\(274\) | 2.51727 | − | 17.5080i | 0.152074 | − | 1.05770i | ||||
\(275\) | −3.67480 | + | 11.0324i | −0.221599 | + | 0.665281i | ||||
\(276\) | 4.29010 | − | 4.38891i | 0.258234 | − | 0.264182i | ||||
\(277\) | 10.2771 | + | 10.2771i | 0.617490 | + | 0.617490i | 0.944887 | − | 0.327397i | \(-0.106171\pi\) |
−0.327397 | + | 0.944887i | \(0.606171\pi\) | |||||||
\(278\) | −6.45094 | − | 8.61745i | −0.386902 | − | 0.516840i | ||||
\(279\) | −12.3933 | + | 5.65984i | −0.741968 | + | 0.338845i | ||||
\(280\) | 4.05138 | − | 8.46543i | 0.242116 | − | 0.505906i | ||||
\(281\) | −14.5873 | + | 12.6400i | −0.870206 | + | 0.754038i | −0.970546 | − | 0.240915i | \(-0.922552\pi\) |
0.100340 | + | 0.994953i | \(0.468007\pi\) | |||||||
\(282\) | −12.3188 | − | 6.72656i | −0.733572 | − | 0.400561i | ||||
\(283\) | −2.79509 | − | 12.8488i | −0.166151 | − | 0.763782i | −0.982506 | − | 0.186232i | \(-0.940372\pi\) |
0.816355 | − | 0.577550i | \(-0.195991\pi\) | |||||||
\(284\) | −0.711617 | − | 0.324984i | −0.0422267 | − | 0.0192843i | ||||
\(285\) | −0.640094 | + | 7.14354i | −0.0379159 | + | 0.423147i | ||||
\(286\) | 1.19977 | + | 1.86687i | 0.0709437 | + | 0.110391i | ||||
\(287\) | −28.8030 | − | 21.5617i | −1.70019 | − | 1.27274i | ||||
\(288\) | 1.09056 | + | 0.816385i | 0.0642620 | + | 0.0481059i | ||||
\(289\) | −20.2091 | − | 31.4460i | −1.18877 | − | 1.84977i | ||||
\(290\) | −0.926029 | + | 10.3346i | −0.0543783 | + | 0.606869i | ||||
\(291\) | 0.537486 | + | 0.245462i | 0.0315080 | + | 0.0143892i | ||||
\(292\) | −0.636600 | − | 2.92640i | −0.0372542 | − | 0.171255i | ||||
\(293\) | −23.2153 | − | 12.6765i | −1.35625 | − | 0.740570i | −0.373875 | − | 0.927479i | \(-0.621971\pi\) |
−0.982377 | + | 0.186909i | \(0.940153\pi\) | |||||||
\(294\) | −10.2668 | + | 8.89624i | −0.598772 | + | 0.518839i | ||||
\(295\) | 4.05047 | − | 8.46353i | 0.235828 | − | 0.492766i | ||||
\(296\) | −6.90495 | + | 3.15338i | −0.401342 | + | 0.183287i | ||||
\(297\) | 7.78055 | + | 10.3936i | 0.451473 | + | 0.603098i | ||||
\(298\) | 1.13678 | + | 1.13678i | 0.0658516 | + | 0.0658516i | ||||
\(299\) | 1.55030 | − | 4.30558i | 0.0896559 | − | 0.248998i | ||||
\(300\) | −2.86282 | − | 5.72252i | −0.165285 | − | 0.330390i | ||||
\(301\) | 4.74102 | − | 32.9745i | 0.273268 | − | 1.90062i | ||||
\(302\) | 1.47731 | − | 3.96082i | 0.0850097 | − | 0.227920i | ||||
\(303\) | −1.89543 | + | 1.03498i | −0.108890 | + | 0.0594582i | ||||
\(304\) | −1.64132 | − | 1.89419i | −0.0941364 | − | 0.108639i | ||||
\(305\) | 1.85132 | + | 14.7532i | 0.106006 | + | 0.844763i | ||||
\(306\) | −5.43119 | + | 8.45110i | −0.310481 | + | 0.483117i | ||||
\(307\) | −9.93197 | + | 3.70443i | −0.566847 | + | 0.211423i | −0.616516 | − | 0.787343i | \(-0.711456\pi\) |
0.0496683 | + | 0.998766i | \(0.484184\pi\) | |||||||
\(308\) | 0.696343 | + | 9.73615i | 0.0396779 | + | 0.554769i | ||||
\(309\) | −3.13407 | + | 2.01414i | −0.178291 | + | 0.114581i | ||||
\(310\) | −16.0949 | + | 15.5267i | −0.914130 | + | 0.881860i | ||||
\(311\) | −3.62478 | − | 25.2109i | −0.205542 | − | 1.42958i | −0.787477 | − | 0.616344i | \(-0.788613\pi\) |
0.581935 | − | 0.813235i | \(-0.302296\pi\) | |||||||
\(312\) | −1.19322 | − | 0.259568i | −0.0675525 | − | 0.0146951i | ||||
\(313\) | 32.6923 | − | 2.33820i | 1.84788 | − | 0.132163i | 0.897061 | − | 0.441908i | \(-0.145698\pi\) |
0.950820 | + | 0.309745i | \(0.100244\pi\) | |||||||
\(314\) | 3.14913 | − | 6.89563i | 0.177716 | − | 0.389143i | ||||
\(315\) | −0.682821 | − | 12.7667i | −0.0384726 | − | 0.719321i | ||||
\(316\) | −0.178902 | − | 0.609285i | −0.0100640 | − | 0.0342750i | ||||
\(317\) | −0.643460 | + | 8.99675i | −0.0361403 | + | 0.505308i | 0.946853 | + | 0.321667i | \(0.104243\pi\) |
−0.982993 | + | 0.183641i | \(0.941212\pi\) | |||||||
\(318\) | 2.77997 | + | 5.09113i | 0.155893 | + | 0.285497i | ||||
\(319\) | −4.48308 | − | 9.81658i | −0.251004 | − | 0.549623i | ||||
\(320\) | 2.13383 | + | 0.668416i | 0.119285 | + | 0.0373656i | ||||
\(321\) | 0.975332i | 0.0544377i | ||||||||
\(322\) | 15.0610 | − | 13.3537i | 0.839318 | − | 0.744171i | ||||
\(323\) | 13.0692 | − | 13.0692i | 0.727191 | − | 0.727191i | ||||
\(324\) | −3.02623 | − | 0.435106i | −0.168124 | − | 0.0241725i | ||||
\(325\) | −3.71420 | − | 2.99452i | −0.206027 | − | 0.166106i | ||||
\(326\) | 5.88199 | + | 1.72711i | 0.325773 | + | 0.0956557i | ||||
\(327\) | 10.0404 | + | 0.718103i | 0.555235 | + | 0.0397112i | ||||
\(328\) | 4.10836 | − | 7.52390i | 0.226846 | − | 0.415438i | ||||
\(329\) | −38.7245 | − | 24.8867i | −2.13495 | − | 1.37205i | ||||
\(330\) | 5.53307 | + | 3.69801i | 0.304585 | + | 0.203569i | ||||
\(331\) | −4.08320 | + | 4.71226i | −0.224433 | + | 0.259009i | −0.856787 | − | 0.515670i | \(-0.827543\pi\) |
0.632355 | + | 0.774679i | \(0.282089\pi\) | |||||||
\(332\) | −2.00368 | + | 9.21078i | −0.109966 | + | 0.505507i | ||||
\(333\) | −6.19711 | + | 8.27838i | −0.339600 | + | 0.453652i | ||||
\(334\) | −17.1510 | + | 2.46595i | −0.938463 | + | 0.134931i | ||||
\(335\) | −9.37010 | + | 23.8070i | −0.511943 | + | 1.30071i | ||||
\(336\) | −4.05924 | − | 3.51735i | −0.221449 | − | 0.191887i | ||||
\(337\) | 10.9545 | + | 29.3702i | 0.596730 | + | 1.59990i | 0.786175 | + | 0.618004i | \(0.212059\pi\) |
−0.189444 | + | 0.981891i | \(0.560669\pi\) | |||||||
\(338\) | 11.8132 | − | 2.56981i | 0.642554 | − | 0.139779i | ||||
\(339\) | −13.8829 | + | 4.07638i | −0.754014 | + | 0.221398i | ||||
\(340\) | −3.79397 | + | 16.0470i | −0.205757 | + | 0.870270i | ||||
\(341\) | 6.55301 | − | 22.3175i | 0.354865 | − | 1.20856i | ||||
\(342\) | −3.19910 | − | 1.19320i | −0.172988 | − | 0.0645211i | ||||
\(343\) | −12.1476 | + | 9.09358i | −0.655909 | + | 0.491007i | ||||
\(344\) | 7.93734 | 0.427953 | ||||||||
\(345\) | −0.888917 | − | 13.6948i | −0.0478577 | − | 0.737303i | ||||
\(346\) | 20.2442 | 1.08834 | ||||||||
\(347\) | 13.2989 | − | 9.95543i | 0.713922 | − | 0.534435i | −0.179442 | − | 0.983769i | \(-0.557429\pi\) |
0.893364 | + | 0.449333i | \(0.148338\pi\) | |||||||
\(348\) | 5.56393 | + | 2.07524i | 0.298258 | + | 0.111244i | ||||
\(349\) | −8.96347 | + | 30.5268i | −0.479803 | + | 1.63406i | 0.263177 | + | 0.964748i | \(0.415230\pi\) |
−0.742981 | + | 0.669313i | \(0.766589\pi\) | |||||||
\(350\) | −8.02625 | − | 19.3898i | −0.429021 | − | 1.03643i | ||||
\(351\) | −5.11110 | + | 1.50075i | −0.272810 | + | 0.0801043i | ||||
\(352\) | −2.27252 | + | 0.494357i | −0.121126 | + | 0.0263493i | ||||
\(353\) | −11.1947 | − | 30.0141i | −0.595832 | − | 1.59749i | −0.787695 | − | 0.616065i | \(-0.788726\pi\) |
0.191863 | − | 0.981422i | \(-0.438547\pi\) | |||||||
\(354\) | −4.05832 | − | 3.51656i | −0.215697 | − | 0.186903i | ||||
\(355\) | −1.60402 | + | 0.697983i | −0.0851326 | + | 0.0370451i | ||||
\(356\) | 2.54772 | − | 0.366307i | 0.135029 | − | 0.0194142i | ||||
\(357\) | 23.7364 | − | 31.7081i | 1.25626 | − | 1.67817i | ||||
\(358\) | −0.829926 | + | 3.81511i | −0.0438629 | + | 0.201635i | ||||
\(359\) | 2.95583 | − | 3.41121i | 0.156003 | − | 0.180037i | −0.672368 | − | 0.740217i | \(-0.734723\pi\) |
0.828371 | + | 0.560180i | \(0.189268\pi\) | |||||||
\(360\) | 2.98769 | − | 0.593928i | 0.157465 | − | 0.0313027i | ||||
\(361\) | −10.6992 | − | 6.87593i | −0.563113 | − | 0.361891i | ||||
\(362\) | 0.395709 | − | 0.724687i | 0.0207980 | − | 0.0380887i | ||||
\(363\) | 7.13707 | + | 0.510453i | 0.374599 | + | 0.0267919i | ||||
\(364\) | −3.84262 | − | 1.12830i | −0.201408 | − | 0.0591388i | ||||
\(365\) | −5.81892 | − | 3.31445i | −0.304576 | − | 0.173486i | ||||
\(366\) | 8.42305 | + | 1.21105i | 0.440280 | + | 0.0633027i | ||||
\(367\) | −20.0786 | + | 20.0786i | −1.04809 | + | 1.04809i | −0.0493115 | + | 0.998783i | \(0.515703\pi\) |
−0.998783 | + | 0.0493115i | \(0.984297\pi\) | |||||||
\(368\) | 3.65997 | + | 3.09914i | 0.190789 | + | 0.161554i | ||||
\(369\) | − | 11.6782i | − | 0.607940i | ||||||
\(370\) | −5.07389 | + | 16.1977i | −0.263779 | + | 0.842080i | ||||
\(371\) | 7.90293 | + | 17.3050i | 0.410300 | + | 0.898431i | ||||
\(372\) | 6.13389 | + | 11.2334i | 0.318027 | + | 0.582423i | ||||
\(373\) | −1.43915 | + | 20.1220i | −0.0745166 | + | 1.04188i | 0.813349 | + | 0.581775i | \(0.197642\pi\) |
−0.887866 | + | 0.460102i | \(0.847813\pi\) | |||||||
\(374\) | −4.83176 | − | 16.4555i | −0.249844 | − | 0.850892i | ||||
\(375\) | −13.7967 | − | 3.79012i | −0.712460 | − | 0.195721i | ||||
\(376\) | 4.55611 | − | 9.97649i | 0.234963 | − | 0.514498i | ||||
\(377\) | 4.41649 | − | 0.315873i | 0.227461 | − | 0.0162683i | ||||
\(378\) | −22.8950 | − | 4.98049i | −1.17759 | − | 0.256169i | ||||
\(379\) | −4.90505 | − | 34.1154i | −0.251956 | − | 1.75239i | −0.586443 | − | 0.809990i | \(-0.699472\pi\) |
0.334488 | − | 0.942400i | \(-0.391437\pi\) | |||||||
\(380\) | −5.60351 | − | 0.100684i | −0.287454 | − | 0.00516500i | ||||
\(381\) | 6.19892 | − | 3.98380i | 0.317580 | − | 0.204096i | ||||
\(382\) | −0.220629 | − | 3.08480i | −0.0112884 | − | 0.157832i | ||||
\(383\) | 11.2844 | − | 4.20887i | 0.576607 | − | 0.215063i | −0.0442053 | − | 0.999022i | \(-0.514076\pi\) |
0.620812 | + | 0.783959i | \(0.286803\pi\) | |||||||
\(384\) | 0.691876 | − | 1.07658i | 0.0353072 | − | 0.0549390i | ||||
\(385\) | 17.2351 | + | 13.3918i | 0.878380 | + | 0.682510i | ||||
\(386\) | −1.90837 | − | 2.20237i | −0.0971334 | − | 0.112098i | ||||
\(387\) | 9.49024 | − | 5.18207i | 0.482416 | − | 0.263419i | ||||
\(388\) | −0.161356 | + | 0.432611i | −0.00819160 | + | 0.0219625i | ||||
\(389\) | −1.49097 | + | 10.3699i | −0.0755953 | + | 0.525777i | 0.916475 | + | 0.400092i | \(0.131022\pi\) |
−0.992070 | + | 0.125685i | \(0.959887\pi\) | |||||||
\(390\) | −2.21493 | + | 1.59680i | −0.112157 | + | 0.0808571i | ||||
\(391\) | −20.8703 | + | 28.5512i | −1.05545 | + | 1.44390i | ||||
\(392\) | −7.50624 | − | 7.50624i | −0.379123 | − | 0.379123i | ||||
\(393\) | −7.29576 | − | 9.74600i | −0.368023 | − | 0.491621i | ||||
\(394\) | 6.41460 | − | 2.92945i | 0.323163 | − | 0.147584i | ||||
\(395\) | −1.28080 | − | 0.612965i | −0.0644440 | − | 0.0308416i | ||||
\(396\) | −2.39438 | + | 2.07474i | −0.120322 | + | 0.104260i | ||||
\(397\) | −19.8862 | − | 10.8587i | −0.998062 | − | 0.544983i | −0.104788 | − | 0.994495i | \(-0.533416\pi\) |
−0.893275 | + | 0.449511i | \(0.851598\pi\) | |||||||
\(398\) | −0.110589 | − | 0.508368i | −0.00554331 | − | 0.0254822i | ||||
\(399\) | 12.2455 | + | 5.59234i | 0.613043 | + | 0.279967i | ||||
\(400\) | 4.30066 | − | 2.55035i | 0.215033 | − | 0.127518i | ||||
\(401\) | −5.67772 | − | 8.83471i | −0.283532 | − | 0.441184i | 0.670051 | − | 0.742315i | \(-0.266272\pi\) |
−0.953583 | + | 0.301131i | \(0.902636\pi\) | |||||||
\(402\) | 11.7219 | + | 8.77487i | 0.584633 | + | 0.437651i | ||||
\(403\) | 7.63973 | + | 5.71903i | 0.380562 | + | 0.284885i | ||||
\(404\) | −0.912349 | − | 1.41964i | −0.0453911 | − | 0.0706299i | ||||
\(405\) | −5.24623 | + | 4.38337i | −0.260687 | + | 0.217811i | ||||
\(406\) | 17.7157 | + | 8.09048i | 0.879215 | + | 0.401524i | ||||
\(407\) | −3.75263 | − | 17.2506i | −0.186011 | − | 0.855079i | ||||
\(408\) | 8.28276 | + | 4.52273i | 0.410058 | + | 0.223908i | ||||
\(409\) | 6.06057 | − | 5.25152i | 0.299676 | − | 0.259671i | −0.492023 | − | 0.870582i | \(-0.663742\pi\) |
0.791699 | + | 0.610912i | \(0.209197\pi\) | |||||||
\(410\) | −6.37503 | − | 18.0775i | −0.314840 | − | 0.892786i | ||||
\(411\) | −20.5904 | + | 9.40332i | −1.01565 | + | 0.463831i | ||||
\(412\) | −1.74457 | − | 2.33048i | −0.0859490 | − | 0.114814i | ||||
\(413\) | −12.4532 | − | 12.4532i | −0.612782 | − | 0.612782i | ||||
\(414\) | 6.39936 | + | 1.31598i | 0.314511 | + | 0.0646769i | ||||
\(415\) | 12.3262 | + | 17.0977i | 0.605068 | + | 0.839293i | ||||
\(416\) | 0.135797 | − | 0.944487i | 0.00665798 | − | 0.0463073i | ||||
\(417\) | −4.81413 | + | 12.9072i | −0.235749 | + | 0.632067i | ||||
\(418\) | 5.11599 | − | 2.79354i | 0.250231 | − | 0.136637i | ||||
\(419\) | 8.37240 | + | 9.66226i | 0.409018 | + | 0.472032i | 0.922460 | − | 0.386092i | \(-0.126175\pi\) |
−0.513442 | + | 0.858124i | \(0.671630\pi\) | |||||||
\(420\) | −11.9168 | + | 1.49539i | −0.581479 | + | 0.0729675i | ||||
\(421\) | −16.5885 | + | 25.8123i | −0.808476 | + | 1.25801i | 0.154383 | + | 0.988011i | \(0.450661\pi\) |
−0.962860 | + | 0.270003i | \(0.912975\pi\) | |||||||
\(422\) | −8.31242 | + | 3.10037i | −0.404642 | + | 0.150924i | ||||
\(423\) | −1.06588 | − | 14.9029i | −0.0518247 | − | 0.724604i | ||||
\(424\) | −3.81317 | + | 2.45057i | −0.185184 | + | 0.119010i | ||||
\(425\) | 21.0216 | + | 30.2918i | 1.01969 | + | 1.46937i | ||||
\(426\) | 0.142479 | + | 0.990962i | 0.00690312 | + | 0.0480122i | ||||
\(427\) | 27.2709 | + | 5.93242i | 1.31973 | + | 0.287090i | ||||
\(428\) | −0.760195 | + | 0.0543702i | −0.0367454 | + | 0.00262808i | ||||
\(429\) | 1.17975 | − | 2.58329i | 0.0569588 | − | 0.124722i | ||||
\(430\) | 11.8618 | − | 13.2024i | 0.572029 | − | 0.636676i | ||||
\(431\) | −7.50878 | − | 25.5726i | −0.361685 | − | 1.23179i | −0.916575 | − | 0.399863i | \(-0.869058\pi\) |
0.554890 | − | 0.831924i | \(-0.312761\pi\) | |||||||
\(432\) | 0.398255 | − | 5.56834i | 0.0191611 | − | 0.267907i | ||||
\(433\) | 9.88108 | + | 18.0958i | 0.474854 | + | 0.869631i | 0.999829 | + | 0.0185125i | \(0.00589306\pi\) |
−0.524974 | + | 0.851118i | \(0.675925\pi\) | |||||||
\(434\) | 17.4375 | + | 38.1828i | 0.837026 | + | 1.83283i | ||||
\(435\) | 11.7667 | − | 6.15333i | 0.564172 | − | 0.295030i | ||||
\(436\) | 7.86573i | 0.376700i | ||||||||
\(437\) | −10.9900 | − | 4.86854i | −0.525724 | − | 0.232894i | ||||
\(438\) | −2.71006 | + | 2.71006i | −0.129492 | + | 0.129492i | ||||
\(439\) | −2.82670 | − | 0.406418i | −0.134911 | − | 0.0193973i | 0.0745285 | − | 0.997219i | \(-0.476255\pi\) |
−0.209439 | + | 0.977822i | \(0.567164\pi\) | |||||||
\(440\) | −2.57386 | + | 4.51874i | −0.122704 | + | 0.215422i | ||||
\(441\) | −13.8754 | − | 4.07419i | −0.660734 | − | 0.194009i | ||||
\(442\) | 7.01861 | + | 0.501981i | 0.333841 | + | 0.0238768i | ||||
\(443\) | −4.07331 | + | 7.45971i | −0.193529 | + | 0.354422i | −0.956367 | − | 0.292168i | \(-0.905623\pi\) |
0.762838 | + | 0.646589i | \(0.223805\pi\) | |||||||
\(444\) | 8.17224 | + | 5.25198i | 0.387837 | + | 0.249248i | ||||
\(445\) | 3.19811 | − | 4.78511i | 0.151605 | − | 0.226836i | ||||
\(446\) | 14.0720 | − | 16.2400i | 0.666328 | − | 0.768984i | ||||
\(447\) | 0.437322 | − | 2.01034i | 0.0206846 | − | 0.0950858i | ||||
\(448\) | 2.51521 | − | 3.35993i | 0.118833 | − | 0.158742i | ||||
\(449\) | −31.2043 | + | 4.48651i | −1.47262 | + | 0.211731i | −0.831422 | − | 0.555641i | \(-0.812473\pi\) |
−0.641202 | + | 0.767372i | \(0.721564\pi\) | |||||||
\(450\) | 3.47702 | − | 5.85710i | 0.163908 | − | 0.276106i | ||||
\(451\) | 15.0673 | + | 13.0558i | 0.709489 | + | 0.614776i | ||||
\(452\) | −3.95112 | − | 10.5934i | −0.185845 | − | 0.498270i | ||||
\(453\) | −5.28626 | + | 1.14996i | −0.248370 | + | 0.0540297i | ||||
\(454\) | 10.1749 | − | 2.98763i | 0.477533 | − | 0.140216i | ||||
\(455\) | −7.61928 | + | 4.70537i | −0.357197 | + | 0.220591i | ||||
\(456\) | −0.903653 | + | 3.07756i | −0.0423175 | + | 0.144120i | ||||
\(457\) | −26.2513 | − | 9.79122i | −1.22798 | − | 0.458014i | −0.350020 | − | 0.936742i | \(-0.613825\pi\) |
−0.877963 | + | 0.478729i | \(0.841098\pi\) | |||||||
\(458\) | −0.983481 | + | 0.736225i | −0.0459551 | + | 0.0344015i | ||||
\(459\) | 41.1673 | 1.92153 | ||||||||
\(460\) | 10.6245 | − | 1.45626i | 0.495368 | − | 0.0678986i | ||||
\(461\) | −4.09221 | −0.190593 | −0.0952965 | − | 0.995449i | \(-0.530380\pi\) | ||||
−0.0952965 | + | 0.995449i | \(0.530380\pi\) | |||||||
\(462\) | 9.99997 | − | 7.48589i | 0.465241 | − | 0.348275i | ||||
\(463\) | −20.6124 | − | 7.68804i | −0.957941 | − | 0.357294i | −0.178620 | − | 0.983918i | \(-0.557163\pi\) |
−0.779321 | + | 0.626625i | \(0.784436\pi\) | |||||||
\(464\) | −1.30732 | + | 4.45233i | −0.0606909 | + | 0.206694i | ||||
\(465\) | 27.8515 | + | 6.58490i | 1.29158 | + | 0.305367i | ||||
\(466\) | 23.0819 | − | 6.77745i | 1.06925 | − | 0.313959i | ||||
\(467\) | −0.168691 | + | 0.0366965i | −0.00780610 | + | 0.00169811i | −0.216467 | − | 0.976290i | \(-0.569453\pi\) |
0.208661 | + | 0.977988i | \(0.433090\pi\) | |||||||
\(468\) | −0.454264 | − | 1.21793i | −0.0209984 | − | 0.0562988i | ||||
\(469\) | 36.2926 | + | 31.4477i | 1.67583 | + | 1.45212i | ||||
\(470\) | −9.78536 | − | 22.4875i | −0.451365 | − | 1.03727i | ||||
\(471\) | −9.60250 | + | 1.38063i | −0.442460 | + | 0.0636161i | ||||
\(472\) | 2.51465 | − | 3.35918i | 0.115746 | − | 0.154619i | ||||
\(473\) | −3.92388 | + | 18.0378i | −0.180420 | + | 0.829379i | ||||
\(474\) | −0.532166 | + | 0.614153i | −0.0244432 | + | 0.0282090i | ||||
\(475\) | −8.54156 | + | 9.17001i | −0.391914 | + | 0.420749i | ||||
\(476\) | 26.0371 | + | 16.7330i | 1.19341 | + | 0.766958i | ||||
\(477\) | −2.95929 | + | 5.41953i | −0.135496 | + | 0.248143i | ||||
\(478\) | 8.90445 | + | 0.636859i | 0.407280 | + | 0.0291292i | ||||
\(479\) | 15.3082 | + | 4.49488i | 0.699448 | + | 0.205377i | 0.612076 | − | 0.790799i | \(-0.290335\pi\) |
0.0873725 | + | 0.996176i | \(0.472153\pi\) | |||||||
\(480\) | −0.756742 | − | 2.75970i | −0.0345404 | − | 0.125962i | ||||
\(481\) | 7.16953 | + | 1.03082i | 0.326902 | + | 0.0470015i | ||||
\(482\) | 6.73359 | − | 6.73359i | 0.306707 | − | 0.306707i | ||||
\(483\) | −24.7967 | − | 6.97533i | −1.12829 | − | 0.317389i | ||||
\(484\) | 5.59124i | 0.254147i | ||||||||
\(485\) | 0.478439 | + | 0.914898i | 0.0217248 | + | 0.0415434i | ||||
\(486\) | −5.33189 | − | 11.6752i | −0.241859 | − | 0.529598i | ||||
\(487\) | 3.98656 | + | 7.30084i | 0.180648 | + | 0.330833i | 0.952274 | − | 0.305244i | \(-0.0987380\pi\) |
−0.771626 | + | 0.636077i | \(0.780556\pi\) | |||||||
\(488\) | −0.474374 | + | 6.63262i | −0.0214739 | + | 0.300244i | ||||
\(489\) | −2.21024 | − | 7.52739i | −0.0999505 | − | 0.340400i | ||||
\(490\) | −23.7029 | + | 1.26774i | −1.07079 | + | 0.0572708i | ||||
\(491\) | −7.27612 | + | 15.9325i | −0.328367 | + | 0.719023i | −0.999756 | − | 0.0220818i | \(-0.992971\pi\) |
0.671389 | + | 0.741105i | \(0.265698\pi\) | |||||||
\(492\) | −10.9426 | + | 0.782628i | −0.493329 | + | 0.0352836i | ||||
\(493\) | −33.4368 | − | 7.27374i | −1.50592 | − | 0.327593i | ||||
\(494\) | 0.340357 | + | 2.36723i | 0.0153134 | + | 0.106507i | ||||
\(495\) | −0.127272 | + | 7.08321i | −0.00572045 | + | 0.318367i | ||||
\(496\) | −8.41360 | + | 5.40709i | −0.377782 | + | 0.242786i | ||||
\(497\) | 0.234237 | + | 3.27506i | 0.0105070 | + | 0.146906i | ||||
\(498\) | 11.3024 | − | 4.21559i | 0.506475 | − | 0.188905i | ||||
\(499\) | 2.46768 | − | 3.83978i | 0.110469 | − | 0.171892i | −0.781617 | − | 0.623758i | \(-0.785605\pi\) |
0.892086 | + | 0.451866i | \(0.149241\pi\) | |||||||
\(500\) | 2.18500 | − | 10.9648i | 0.0977161 | − | 0.490359i | ||||
\(501\) | 14.5212 | + | 16.7583i | 0.648759 | + | 0.748707i | ||||
\(502\) | −15.2615 | + | 8.33342i | −0.681155 | + | 0.371939i | ||||
\(503\) | 11.0316 | − | 29.5769i | 0.491876 | − | 1.31877i | −0.419709 | − | 0.907659i | \(-0.637868\pi\) |
0.911585 | − | 0.411112i | \(-0.134859\pi\) | |||||||
\(504\) | 0.813699 | − | 5.65940i | 0.0362450 | − | 0.252090i | ||||
\(505\) | −3.72478 | − | 0.604030i | −0.165751 | − | 0.0268790i | ||||
\(506\) | −8.85220 | + | 6.78528i | −0.393528 | + | 0.301643i | ||||
\(507\) | −10.9399 | − | 10.9399i | −0.485858 | − | 0.485858i | ||||
\(508\) | 3.45062 | + | 4.60949i | 0.153097 | + | 0.204513i | ||||
\(509\) | 31.9316 | − | 14.5827i | 1.41535 | − | 0.646367i | 0.446670 | − | 0.894699i | \(-0.352610\pi\) |
0.968675 | + | 0.248332i | \(0.0798824\pi\) | |||||||
\(510\) | 19.9008 | − | 7.01801i | 0.881224 | − | 0.310763i | ||||
\(511\) | −9.49946 | + | 8.23133i | −0.420231 | + | 0.364132i | ||||
\(512\) | 0.877679 | + | 0.479249i | 0.0387883 | + | 0.0211800i | ||||
\(513\) | 2.97420 | + | 13.6722i | 0.131314 | + | 0.603642i | ||||
\(514\) | 18.3307 | + | 8.37137i | 0.808535 | + | 0.369245i | ||||
\(515\) | −6.48351 | − | 0.580952i | −0.285697 | − | 0.0255998i | ||||
\(516\) | −5.49166 | − | 8.54519i | −0.241757 | − | 0.376181i | ||||
\(517\) | 20.4195 | + | 15.2858i | 0.898047 | + | 0.672270i | ||||
\(518\) | 25.5050 | + | 19.0928i | 1.12062 | + | 0.838889i | ||||
\(519\) | −14.0065 | − | 21.7945i | −0.614817 | − | 0.956674i | ||||
\(520\) | −1.36805 | − | 1.63735i | −0.0599931 | − | 0.0718026i | ||||
\(521\) | 33.6157 | + | 15.3518i | 1.47273 | + | 0.672573i | 0.980252 | − | 0.197752i | \(-0.0633639\pi\) |
0.492478 | + | 0.870325i | \(0.336091\pi\) | |||||||
\(522\) | 1.34371 | + | 6.17692i | 0.0588125 | + | 0.270357i | ||||
\(523\) | −7.10799 | − | 3.88126i | −0.310811 | − | 0.169715i | 0.316271 | − | 0.948669i | \(-0.397569\pi\) |
−0.627082 | + | 0.778953i | \(0.715751\pi\) | |||||||
\(524\) | 7.18954 | − | 6.22977i | 0.314076 | − | 0.272149i | ||||
\(525\) | −15.3215 | + | 22.0563i | −0.668687 | + | 0.962614i | ||||
\(526\) | 14.0993 | − | 6.43894i | 0.614760 | − | 0.280751i | ||||
\(527\) | −44.1980 | − | 59.0416i | −1.92529 | − | 2.57189i | ||||
\(528\) | 2.10452 | + | 2.10452i | 0.0915876 | + | 0.0915876i | ||||
\(529\) | 22.2101 | + | 5.97574i | 0.965658 | + | 0.259815i | ||||
\(530\) | −1.62243 | + | 10.0048i | −0.0704738 | + | 0.434580i | ||||
\(531\) | 0.813516 | − | 5.65813i | 0.0353036 | − | 0.245542i | ||||
\(532\) | −3.67616 | + | 9.85617i | −0.159382 | + | 0.427319i | ||||
\(533\) | −7.17930 | + | 3.92020i | −0.310970 | + | 0.169803i | ||||
\(534\) | −2.15706 | − | 2.48938i | −0.0933453 | − | 0.107726i | ||||
\(535\) | −1.04563 | + | 1.34571i | −0.0452064 | + | 0.0581800i | ||||
\(536\) | −6.18589 | + | 9.62543i | −0.267190 | + | 0.415755i | ||||
\(537\) | 4.68148 | − | 1.74610i | 0.202021 | − | 0.0753498i | ||||
\(538\) | 0.0651741 | + | 0.911253i | 0.00280986 | + | 0.0392869i | ||||
\(539\) | 20.7689 | − | 13.3474i | 0.894579 | − | 0.574911i | ||||
\(540\) | −8.66680 | − | 8.98395i | −0.372960 | − | 0.386608i | ||||
\(541\) | 3.09519 | + | 21.5275i | 0.133073 | + | 0.925541i | 0.941516 | + | 0.336967i | \(0.109401\pi\) |
−0.808444 | + | 0.588574i | \(0.799690\pi\) | |||||||
\(542\) | −1.54341 | − | 0.335748i | −0.0662951 | − | 0.0144216i | ||||
\(543\) | −1.05397 | + | 0.0753811i | −0.0452300 | + | 0.00323491i | ||||
\(544\) | −3.06339 | + | 6.70788i | −0.131342 | + | 0.287598i | ||||
\(545\) | 13.0833 | + | 11.7548i | 0.560427 | + | 0.503522i | ||||
\(546\) | 1.44392 | + | 4.91753i | 0.0617940 | + | 0.210451i | ||||
\(547\) | 1.28496 | − | 17.9661i | 0.0549411 | − | 0.768177i | −0.893066 | − | 0.449926i | \(-0.851450\pi\) |
0.948007 | − | 0.318250i | \(-0.103095\pi\) | |||||||
\(548\) | −8.47696 | − | 15.5244i | −0.362118 | − | 0.663170i | ||||
\(549\) | 3.76306 | + | 8.23996i | 0.160604 | + | 0.351673i | ||||
\(550\) | 3.66967 | + | 11.0341i | 0.156475 | + | 0.470498i | ||||
\(551\) | − | 11.6303i | − | 0.495467i | ||||||
\(552\) | 0.804226 | − | 6.08447i | 0.0342302 | − | 0.258972i | ||||
\(553\) | −1.88456 | + | 1.88456i | −0.0801397 | + | 0.0801397i | ||||
\(554\) | 14.3861 | + | 2.06840i | 0.611205 | + | 0.0878780i | ||||
\(555\) | 20.9487 | − | 5.74437i | 0.889221 | − | 0.243835i | ||||
\(556\) | −10.3285 | − | 3.03272i | −0.438026 | − | 0.128616i | ||||
\(557\) | 3.85261 | + | 0.275544i | 0.163240 | + | 0.0116752i | 0.152720 | − | 0.988269i | \(-0.451197\pi\) |
0.0105203 | + | 0.999945i | \(0.496651\pi\) | |||||||
\(558\) | −6.52954 | + | 11.9580i | −0.276418 | + | 0.506221i | ||||
\(559\) | −6.37149 | − | 4.09471i | −0.269485 | − | 0.173188i | ||||
\(560\) | −1.82984 | − | 9.20483i | −0.0773249 | − | 0.388975i | ||||
\(561\) | −14.3727 | + | 16.5869i | −0.606814 | + | 0.700301i | ||||
\(562\) | −4.10289 | + | 18.8607i | −0.173070 | + | 0.795590i | ||||
\(563\) | −2.64111 | + | 3.52811i | −0.111310 | + | 0.148692i | −0.852736 | − | 0.522342i | \(-0.825059\pi\) |
0.741427 | + | 0.671034i | \(0.234149\pi\) | |||||||
\(564\) | −13.8928 | + | 1.99748i | −0.584991 | + | 0.0841090i | ||||
\(565\) | −23.5249 | − | 9.25910i | −0.989702 | − | 0.389533i | ||||
\(566\) | −9.93758 | − | 8.61097i | −0.417708 | − | 0.361946i | ||||
\(567\) | 4.48429 | + | 12.0229i | 0.188323 | + | 0.504912i | ||||
\(568\) | −0.764434 | + | 0.166292i | −0.0320749 | + | 0.00697748i | ||||
\(569\) | 2.83116 | − | 0.831303i | 0.118688 | − | 0.0348500i | −0.221849 | − | 0.975081i | \(-0.571209\pi\) |
0.340537 | + | 0.940231i | \(0.389391\pi\) | |||||||
\(570\) | 3.76854 | + | 6.10229i | 0.157847 | + | 0.255597i | ||||
\(571\) | −2.24201 | + | 7.63559i | −0.0938252 | + | 0.319539i | −0.993010 | − | 0.118030i | \(-0.962342\pi\) |
0.899185 | + | 0.437569i | \(0.144160\pi\) | |||||||
\(572\) | 2.07924 | + | 0.775516i | 0.0869373 | + | 0.0324259i | ||||
\(573\) | −3.16839 | + | 2.37183i | −0.132361 | + | 0.0990845i | ||||
\(574\) | −35.9794 | −1.50175 | ||||||||
\(575\) | 13.4553 | − | 19.8483i | 0.561127 | − | 0.827730i | ||||
\(576\) | 1.36228 | 0.0567617 | ||||||||
\(577\) | −3.56576 | + | 2.66929i | −0.148444 | + | 0.111124i | −0.670919 | − | 0.741531i | \(-0.734100\pi\) |
0.522474 | + | 0.852655i | \(0.325009\pi\) | |||||||
\(578\) | −35.0232 | − | 13.0630i | −1.45677 | − | 0.543348i | ||||
\(579\) | −1.05068 | + | 3.57828i | −0.0436647 | + | 0.148708i | ||||
\(580\) | 5.45198 | + | 8.82823i | 0.226381 | + | 0.366572i | ||||
\(581\) | 37.9599 | − | 11.1460i | 1.57484 | − | 0.462415i | ||||
\(582\) | 0.577379 | − | 0.125601i | 0.0239331 | − | 0.00520634i | ||||
\(583\) | −3.68392 | − | 9.87698i | −0.152572 | − | 0.409063i | ||||
\(584\) | −2.26335 | − | 1.96121i | −0.0936582 | − | 0.0811553i | ||||
\(585\) | −2.70469 | − | 1.06453i | −0.111825 | − | 0.0440128i | ||||
\(586\) | −26.1816 | + | 3.76434i | −1.08155 | + | 0.155503i | ||||
\(587\) | 16.1791 | − | 21.6127i | 0.667783 | − | 0.892053i | −0.330884 | − | 0.943671i | \(-0.607347\pi\) |
0.998667 | + | 0.0516182i | \(0.0164379\pi\) | |||||||
\(588\) | −2.88768 | + | 13.2745i | −0.119086 | + | 0.547430i | ||||
\(589\) | 16.4153 | − | 18.9443i | 0.676381 | − | 0.780585i | ||||
\(590\) | −1.82943 | − | 9.20276i | −0.0753165 | − | 0.378872i | ||||
\(591\) | −7.59190 | − | 4.87902i | −0.312289 | − | 0.200696i | ||||
\(592\) | −3.63794 | + | 6.66239i | −0.149519 | + | 0.273823i | ||||
\(593\) | 25.1905 | + | 1.80166i | 1.03445 | + | 0.0739854i | 0.578224 | − | 0.815878i | \(-0.303746\pi\) |
0.456227 | + | 0.889863i | \(0.349200\pi\) | |||||||
\(594\) | 12.4573 | + | 3.65779i | 0.511129 | + | 0.150081i | ||||
\(595\) | 66.7434 | − | 18.3018i | 2.73621 | − | 0.750301i | ||||
\(596\) | 1.59128 | + | 0.228791i | 0.0651814 | + | 0.00937166i | ||||
\(597\) | −0.470785 | + | 0.470785i | −0.0192679 | + | 0.0192679i | ||||
\(598\) | −1.33916 | − | 4.37585i | −0.0547624 | − | 0.178942i | ||||
\(599\) | 5.24778i | 0.214418i | 0.994236 | + | 0.107209i | \(0.0341915\pi\) | ||||
−0.994236 | + | 0.107209i | \(0.965809\pi\) | |||||||
\(600\) | −5.72119 | − | 2.86548i | −0.233566 | − | 0.116983i | ||||
\(601\) | −1.57565 | − | 3.45018i | −0.0642720 | − | 0.140736i | 0.874770 | − | 0.484538i | \(-0.161012\pi\) |
−0.939042 | + | 0.343802i | \(0.888285\pi\) | |||||||
\(602\) | −15.9655 | − | 29.2387i | −0.650706 | − | 1.19168i | ||||
\(603\) | −1.11196 | + | 15.5472i | −0.0452824 | + | 0.633130i | ||||
\(604\) | −1.19099 | − | 4.05612i | −0.0484605 | − | 0.165041i | ||||
\(605\) | 9.30007 | + | 8.35576i | 0.378102 | + | 0.339710i | ||||
\(606\) | −0.897127 | + | 1.96443i | −0.0364433 | + | 0.0797997i | ||||
\(607\) | 25.5649 | − | 1.82844i | 1.03765 | − | 0.0742141i | 0.457895 | − | 0.889006i | \(-0.348604\pi\) |
0.579753 | + | 0.814792i | \(0.303149\pi\) | |||||||
\(608\) | −2.44909 | − | 0.532767i | −0.0993238 | − | 0.0216066i | ||||
\(609\) | −3.54701 | − | 24.6700i | −0.143732 | − | 0.999678i | ||||
\(610\) | 10.3233 | + | 10.7011i | 0.417978 | + | 0.433273i | ||||
\(611\) | −8.80396 | + | 5.65796i | −0.356170 | + | 0.228897i | ||||
\(612\) | 0.716662 | + | 10.0202i | 0.0289693 | + | 0.405044i | ||||
\(613\) | −2.74114 | + | 1.02239i | −0.110714 | + | 0.0412941i | −0.404211 | − | 0.914666i | \(-0.632454\pi\) |
0.293497 | + | 0.955960i | \(0.405181\pi\) | |||||||
\(614\) | −5.73097 | + | 8.91756i | −0.231283 | + | 0.359883i | ||||
\(615\) | −15.0512 | + | 19.3707i | −0.606923 | + | 0.781100i | ||||
\(616\) | 6.39211 | + | 7.37689i | 0.257546 | + | 0.297223i | ||||
\(617\) | 14.2338 | − | 7.77224i | 0.573031 | − | 0.312899i | −0.166478 | − | 0.986045i | \(-0.553239\pi\) |
0.739509 | + | 0.673146i | \(0.235058\pi\) | |||||||
\(618\) | −1.30192 | + | 3.49058i | −0.0523708 | + | 0.140412i | ||||
\(619\) | −4.60667 | + | 32.0401i | −0.185158 | + | 1.28780i | 0.659179 | + | 0.751986i | \(0.270904\pi\) |
−0.844336 | + | 0.535814i | \(0.820005\pi\) | |||||||
\(620\) | −3.57982 | + | 22.0751i | −0.143769 | + | 0.886558i | ||||
\(621\) | −9.64118 | − | 24.9768i | −0.386887 | − | 1.00229i | ||||
\(622\) | −18.0101 | − | 18.0101i | −0.722140 | − | 0.722140i | ||||
\(623\) | −6.47395 | − | 8.64818i | −0.259373 | − | 0.346482i | ||||
\(624\) | −1.11077 | + | 0.507272i | −0.0444664 | + | 0.0203071i | ||||
\(625\) | −14.9726 | − | 20.0205i | −0.598905 | − | 0.800820i | ||||
\(626\) | 24.7703 | − | 21.4636i | 0.990022 | − | 0.857859i | ||||
\(627\) | −6.54711 | − | 3.57499i | −0.261466 | − | 0.142771i | ||||
\(628\) | −1.61139 | − | 7.40743i | −0.0643014 | − | 0.295589i | ||||
\(629\) | −50.9190 | − | 23.2539i | −2.03027 | − | 0.927195i | ||||
\(630\) | −8.19741 | − | 9.81106i | −0.326593 | − | 0.390882i | ||||
\(631\) | −0.184485 | − | 0.287065i | −0.00734424 | − | 0.0114279i | 0.837562 | − | 0.546342i | \(-0.183980\pi\) |
−0.844906 | + | 0.534914i | \(0.820344\pi\) | |||||||
\(632\) | −0.508349 | − | 0.380546i | −0.0202211 | − | 0.0151373i | ||||
\(633\) | 9.08896 | + | 6.80391i | 0.361254 | + | 0.270431i | ||||
\(634\) | 4.87643 | + | 7.58788i | 0.193668 | + | 0.301353i | ||||
\(635\) | 12.8238 | + | 1.14907i | 0.508898 | + | 0.0455996i | ||||
\(636\) | 5.27648 | + | 2.40969i | 0.209226 | + | 0.0955504i | ||||
\(637\) | 2.15312 | + | 9.89776i | 0.0853099 | + | 0.392163i | ||||
\(638\) | −9.47175 | − | 5.17197i | −0.374990 | − | 0.204760i | ||||
\(639\) | −0.805425 | + | 0.697904i | −0.0318621 | + | 0.0276087i | ||||
\(640\) | 2.10878 | − | 0.743661i | 0.0833570 | − | 0.0293958i | ||||
\(641\) | −13.6502 | + | 6.23382i | −0.539149 | + | 0.246221i | −0.666328 | − | 0.745659i | \(-0.732135\pi\) |
0.127179 | + | 0.991880i | \(0.459408\pi\) | |||||||
\(642\) | 0.584495 | + | 0.780794i | 0.0230682 | + | 0.0308155i | ||||
\(643\) | −12.7991 | − | 12.7991i | −0.504748 | − | 0.504748i | 0.408162 | − | 0.912910i | \(-0.366170\pi\) |
−0.912910 | + | 0.408162i | \(0.866170\pi\) | |||||||
\(644\) | 4.05442 | − | 19.7159i | 0.159767 | − | 0.776915i | ||||
\(645\) | −22.4204 | − | 3.63581i | −0.882802 | − | 0.143160i | ||||
\(646\) | 2.63036 | − | 18.2945i | 0.103490 | − | 0.719789i | ||||
\(647\) | −13.7972 | + | 36.9916i | −0.542422 | + | 1.45429i | 0.319665 | + | 0.947531i | \(0.396430\pi\) |
−0.862087 | + | 0.506760i | \(0.830843\pi\) | |||||||
\(648\) | −2.68337 | + | 1.46523i | −0.105413 | + | 0.0575597i | ||||
\(649\) | 6.39068 | + | 7.37523i | 0.250856 | + | 0.289503i | ||||
\(650\) | −4.76792 | − | 0.171396i | −0.187013 | − | 0.00672271i | ||||
\(651\) | 29.0422 | − | 45.1906i | 1.13825 | − | 1.77116i | ||||
\(652\) | 5.74380 | − | 2.14233i | 0.224944 | − | 0.0838999i | ||||
\(653\) | −1.71310 | − | 23.9522i | −0.0670386 | − | 0.937323i | −0.914012 | − | 0.405687i | \(-0.867032\pi\) |
0.846973 | − | 0.531635i | \(-0.178422\pi\) | |||||||
\(654\) | 8.46810 | − | 5.44212i | 0.331129 | − | 0.212804i | ||||
\(655\) | 0.382155 | − | 21.2685i | 0.0149320 | − | 0.831031i | ||||
\(656\) | −1.21999 | − | 8.48524i | −0.0476328 | − | 0.331293i | ||||
\(657\) | −3.98658 | − | 0.867228i | −0.155531 | − | 0.0338338i | ||||
\(658\) | −45.9146 | + | 3.28388i | −1.78994 | + | 0.128019i | ||||
\(659\) | −5.96695 | + | 13.0658i | −0.232440 | + | 0.508972i | −0.989528 | − | 0.144341i | \(-0.953894\pi\) |
0.757089 | + | 0.653312i | \(0.226621\pi\) | |||||||
\(660\) | 6.64558 | − | 0.355436i | 0.258679 | − | 0.0138353i | ||||
\(661\) | 11.5842 | + | 39.4521i | 0.450572 | + | 1.53451i | 0.801436 | + | 0.598081i | \(0.204070\pi\) |
−0.350863 | + | 0.936427i | \(0.614112\pi\) | |||||||
\(662\) | −0.444815 | + | 6.21933i | −0.0172882 | + | 0.241721i | ||||
\(663\) | −4.31558 | − | 7.90340i | −0.167603 | − | 0.306943i | ||||
\(664\) | 3.91578 | + | 8.57437i | 0.151962 | + | 0.332750i | ||||
\(665\) | 10.9003 | + | 20.8441i | 0.422694 | + | 0.808299i | ||||
\(666\) | 10.3410i | 0.400705i | ||||||||
\(667\) | 3.41765 | + | 21.9901i | 0.132332 | + | 0.851459i | ||||
\(668\) | −12.2523 | + | 12.2523i | −0.474056 | + | 0.474056i | ||||
\(669\) | −27.2197 | − | 3.91360i | −1.05237 | − | 0.151309i | ||||
\(670\) | 6.76583 | + | 24.6737i | 0.261387 | + | 0.953230i | ||||
\(671\) | −14.8383 | − | 4.35691i | −0.572825 | − | 0.168197i | ||||
\(672\) | −5.35745 | − | 0.383173i | −0.206668 | − | 0.0147812i | ||||
\(673\) | 14.0727 | − | 25.7723i | 0.542463 | − | 0.993447i | −0.452361 | − | 0.891835i | \(-0.649418\pi\) |
0.994824 | − | 0.101612i | \(-0.0324001\pi\) | |||||||
\(674\) | 26.3704 | + | 16.9472i | 1.01575 | + | 0.652784i | ||||
\(675\) | −27.8952 | + | 0.989789i | −1.07369 | + | 0.0380970i | ||||
\(676\) | 7.91694 | − | 9.13664i | 0.304498 | − | 0.351409i | ||||
\(677\) | −1.91228 | + | 8.79061i | −0.0734949 | + | 0.337850i | −0.999182 | − | 0.0404396i | \(-0.987124\pi\) |
0.925687 | + | 0.378290i | \(0.123488\pi\) | |||||||
\(678\) | −8.67093 | + | 11.5830i | −0.333005 | + | 0.444843i | ||||
\(679\) | 1.91816 | − | 0.275790i | 0.0736123 | − | 0.0105838i | ||||
\(680\) | 6.57937 | + | 15.1199i | 0.252307 | + | 0.579822i | ||||
\(681\) | −10.2562 | − | 8.88706i | −0.393019 | − | 0.340553i | ||||
\(682\) | −8.12842 | − | 21.7931i | −0.311253 | − | 0.834503i | ||||
\(683\) | −23.3721 | + | 5.08430i | −0.894310 | + | 0.194545i | −0.636158 | − | 0.771559i | \(-0.719477\pi\) |
−0.258152 | + | 0.966104i | \(0.583114\pi\) | |||||||
\(684\) | −3.27607 | + | 0.961942i | −0.125264 | + | 0.0367808i | ||||
\(685\) | −38.4905 | − | 9.10026i | −1.47064 | − | 0.347703i | ||||
\(686\) | −4.27508 | + | 14.5596i | −0.163223 | + | 0.555887i | ||||
\(687\) | 1.47305 | + | 0.549420i | 0.0562005 | + | 0.0209617i | ||||
\(688\) | 6.35417 | − | 4.75667i | 0.242250 | − | 0.181346i | ||||
\(689\) | 4.32512 | 0.164774 | ||||||||
\(690\) | −8.91860 | − | 10.4305i | −0.339525 | − | 0.397084i | ||||
\(691\) | −30.5887 | −1.16365 | −0.581825 | − | 0.813314i | \(-0.697661\pi\) | ||||
−0.581825 | + | 0.813314i | \(0.697661\pi\) | |||||||
\(692\) | 16.2063 | − | 12.1319i | 0.616073 | − | 0.461186i | ||||
\(693\) | 12.4589 | + | 4.64692i | 0.473273 | + | 0.176522i | ||||
\(694\) | 4.68025 | − | 15.9395i | 0.177660 | − | 0.605054i | ||||
\(695\) | −20.4797 | + | 12.6475i | −0.776838 | + | 0.479746i | ||||
\(696\) | 5.69780 | − | 1.67302i | 0.215975 | − | 0.0634158i | ||||
\(697\) | 61.7713 | − | 13.4375i | 2.33976 | − | 0.508983i | ||||
\(698\) | 11.1184 | + | 29.8095i | 0.420837 | + | 1.12831i | ||||
\(699\) | −23.2663 | − | 20.1604i | −0.880012 | − | 0.762535i | ||||
\(700\) | −18.0452 | − | 10.7124i | −0.682046 | − | 0.404891i | ||||
\(701\) | 42.3952 | − | 6.09551i | 1.60125 | − | 0.230224i | 0.716941 | − | 0.697134i | \(-0.245542\pi\) |
0.884305 | + | 0.466910i | \(0.154633\pi\) | |||||||
\(702\) | −3.19228 | + | 4.26438i | −0.120485 | + | 0.160949i | ||||
\(703\) | 4.04420 | − | 18.5909i | 0.152530 | − | 0.701168i | ||||
\(704\) | −1.52299 | + | 1.75763i | −0.0573999 | + | 0.0662431i | ||||
\(705\) | −17.4394 | + | 26.0933i | −0.656805 | + | 0.982731i | ||||
\(706\) | −26.9485 | − | 17.3188i | −1.01422 | − | 0.651801i | ||||
\(707\) | −3.39438 | + | 6.21634i | −0.127659 | + | 0.233789i | ||||
\(708\) | −5.35625 | − | 0.383087i | −0.201300 | − | 0.0143973i | ||||
\(709\) | −38.8250 | − | 11.4000i | −1.45810 | − | 0.428137i | −0.545891 | − | 0.837856i | \(-0.683809\pi\) |
−0.912212 | + | 0.409719i | \(0.865627\pi\) | |||||||
\(710\) | −0.865799 | + | 1.52002i | −0.0324929 | + | 0.0570453i | ||||
\(711\) | −0.856253 | − | 0.123111i | −0.0321120 | − | 0.00461701i | ||||
\(712\) | 1.82003 | − | 1.82003i | 0.0682087 | − | 0.0682087i | ||||
\(713\) | −25.4705 | + | 40.6428i | −0.953876 | + | 1.52208i | ||||
\(714\) | − | 39.6083i | − | 1.48230i | ||||||
\(715\) | 4.39723 | − | 2.29950i | 0.164447 | − | 0.0859963i | ||||
\(716\) | 1.62192 | + | 3.55151i | 0.0606140 | + | 0.132726i | ||||
\(717\) | −5.47515 | − | 10.0270i | −0.204473 | − | 0.374465i | ||||
\(718\) | 0.322002 | − | 4.50217i | 0.0120170 | − | 0.168020i | ||||
\(719\) | 3.16985 | + | 10.7955i | 0.118215 | + | 0.402605i | 0.997246 | − | 0.0741600i | \(-0.0236276\pi\) |
−0.879031 | + | 0.476765i | \(0.841809\pi\) | |||||||
\(720\) | 2.03584 | − | 2.26592i | 0.0758714 | − | 0.0844459i | ||||
\(721\) | −5.07563 | + | 11.1141i | −0.189027 | + | 0.413910i | ||||
\(722\) | −12.6857 | + | 0.907299i | −0.472113 | + | 0.0337662i | ||||
\(723\) | −11.9081 | − | 2.59044i | −0.442866 | − | 0.0963396i | ||||
\(724\) | −0.117507 | − | 0.817282i | −0.00436713 | − | 0.0303740i | ||||
\(725\) | 22.8319 | + | 4.12480i | 0.847955 | + | 0.153191i | ||||
\(726\) | 6.01942 | − | 3.86845i | 0.223402 | − | 0.143572i | ||||
\(727\) | 2.60487 | + | 36.4208i | 0.0966092 | + | 1.35077i | 0.782310 | + | 0.622890i | \(0.214041\pi\) |
−0.685700 | + | 0.727884i | \(0.740504\pi\) | |||||||
\(728\) | −3.75234 | + | 1.39955i | −0.139071 | + | 0.0518708i | ||||
\(729\) | −13.8391 | + | 21.5340i | −0.512558 | + | 0.797556i | ||||
\(730\) | −6.64456 | + | 0.833800i | −0.245926 | + | 0.0308603i | ||||
\(731\) | 38.3304 | + | 44.2357i | 1.41770 | + | 1.63611i | ||||
\(732\) | 7.46875 | − | 4.07825i | 0.276053 | − | 0.150736i | ||||
\(733\) | 3.67716 | − | 9.85884i | 0.135819 | − | 0.364144i | −0.851180 | − | 0.524875i | \(-0.824112\pi\) |
0.986998 | + | 0.160730i | \(0.0513849\pi\) | |||||||
\(734\) | −4.04109 | + | 28.1064i | −0.149159 | + | 1.03743i | ||||
\(735\) | 17.7643 | + | 24.6410i | 0.655247 | + | 0.908898i | ||||
\(736\) | 4.78720 | + | 0.287651i | 0.176458 | + | 0.0106029i | ||||
\(737\) | −18.8160 | − | 18.8160i | −0.693095 | − | 0.693095i | ||||
\(738\) | −6.99846 | − | 9.34884i | −0.257617 | − | 0.344136i | ||||
\(739\) | −7.50177 | + | 3.42595i | −0.275957 | + | 0.126025i | −0.548587 | − | 0.836094i | \(-0.684834\pi\) |
0.272630 | + | 0.962119i | \(0.412107\pi\) | |||||||
\(740\) | 5.64507 | + | 16.0076i | 0.207517 | + | 0.588452i | ||||
\(741\) | 2.31303 | − | 2.00426i | 0.0849714 | − | 0.0736282i | ||||
\(742\) | 16.6971 | + | 9.11732i | 0.612970 | + | 0.334707i | ||||
\(743\) | 2.95731 | + | 13.5945i | 0.108493 | + | 0.498735i | 0.999039 | + | 0.0438408i | \(0.0139594\pi\) |
−0.890545 | + | 0.454895i | \(0.849677\pi\) | |||||||
\(744\) | 11.6423 | + | 5.31688i | 0.426829 | + | 0.194926i | ||||
\(745\) | 2.75862 | − | 2.30491i | 0.101068 | − | 0.0844452i | ||||
\(746\) | 10.9066 | + | 16.9709i | 0.399318 | + | 0.621350i | ||||
\(747\) | 10.2799 | + | 7.69540i | 0.376120 | + | 0.281560i | ||||
\(748\) | −13.7294 | − | 10.2777i | −0.501997 | − | 0.375790i | ||||
\(749\) | 1.72937 | + | 2.69095i | 0.0631899 | + | 0.0983254i | ||||
\(750\) | −13.3162 | + | 5.23393i | −0.486238 | + | 0.191116i | ||||
\(751\) | 20.5080 | + | 9.36571i | 0.748349 | + | 0.341760i | 0.752817 | − | 0.658230i | \(-0.228695\pi\) |
−0.00446733 | + | 0.999990i | \(0.501422\pi\) | |||||||
\(752\) | −2.33133 | − | 10.7170i | −0.0850150 | − | 0.390807i | ||||
\(753\) | 19.5307 | + | 10.6646i | 0.711738 | + | 0.388638i | ||||
\(754\) | 3.34628 | − | 2.89957i | 0.121864 | − | 0.105596i | ||||
\(755\) | −8.52651 | − | 4.08062i | −0.310312 | − | 0.148509i | ||||
\(756\) | −21.3131 | + | 9.73335i | −0.775148 | + | 0.353998i | ||||
\(757\) | −15.2257 | − | 20.3391i | −0.553386 | − | 0.739237i | 0.433412 | − | 0.901196i | \(-0.357310\pi\) |
−0.986797 | + | 0.161959i | \(0.948219\pi\) | |||||||
\(758\) | −24.3713 | − | 24.3713i | −0.885205 | − | 0.885205i | ||||
\(759\) | 13.4295 | + | 4.83553i | 0.487461 | + | 0.175518i | ||||
\(760\) | −4.54618 | + | 3.27746i | −0.164907 | + | 0.118886i | ||||
\(761\) | 2.73404 | − | 19.0157i | 0.0991089 | − | 0.689318i | −0.878323 | − | 0.478068i | \(-0.841337\pi\) |
0.977432 | − | 0.211250i | \(-0.0677535\pi\) | |||||||
\(762\) | 2.57508 | − | 6.90407i | 0.0932855 | − | 0.250108i | ||||
\(763\) | 28.9749 | − | 15.8215i | 1.04896 | − | 0.572776i | ||||
\(764\) | −2.02528 | − | 2.33729i | −0.0732719 | − | 0.0845603i | ||||
\(765\) | 17.7380 | + | 13.7826i | 0.641317 | + | 0.498310i | ||||
\(766\) | 6.51136 | − | 10.1319i | 0.235265 | − | 0.366080i | ||||
\(767\) | −3.75150 | + | 1.39924i | −0.135459 | + | 0.0505235i | ||||
\(768\) | −0.0912952 | − | 1.27647i | −0.00329433 | − | 0.0460608i | ||||
\(769\) | 36.7011 | − | 23.5864i | 1.32348 | − | 0.850546i | 0.327919 | − | 0.944706i | \(-0.393653\pi\) |
0.995557 | + | 0.0941597i | \(0.0300164\pi\) | |||||||
\(770\) | 21.8228 | + | 0.392114i | 0.786439 | + | 0.0141308i | ||||
\(771\) | −3.67015 | − | 25.5265i | −0.132177 | − | 0.919314i | ||||
\(772\) | −2.84756 | − | 0.619449i | −0.102486 | − | 0.0222945i | ||||
\(773\) | −13.0985 | + | 0.936822i | −0.471120 | + | 0.0336951i | −0.304881 | − | 0.952390i | \(-0.598617\pi\) |
−0.166239 | + | 0.986086i | \(0.553162\pi\) | |||||||
\(774\) | 4.49184 | − | 9.83575i | 0.161456 | − | 0.353539i | ||||
\(775\) | 31.3684 | + | 38.9443i | 1.12678 | + | 1.39892i | ||||
\(776\) | 0.130082 | + | 0.443020i | 0.00466969 | + | 0.0159035i | ||||
\(777\) | 2.90863 | − | 40.6680i | 0.104347 | − | 1.45896i | ||||
\(778\) | 5.02089 | + | 9.19507i | 0.180008 | + | 0.329659i | ||||
\(779\) | 8.92555 | + | 19.5442i | 0.319791 | + | 0.700244i | ||||
\(780\) | −0.816217 | + | 2.60566i | −0.0292252 | + | 0.0932977i | ||||
\(781\) | − | 1.81940i | − | 0.0651034i | ||||||
\(782\) | 0.402613 | + | 35.3635i | 0.0143974 | + | 1.26460i | ||||
\(783\) | 18.3174 | − | 18.3174i | 0.654611 | − | 0.654611i | ||||
\(784\) | −10.5074 | − | 1.51073i | −0.375264 | − | 0.0539548i | ||||
\(785\) | −14.7291 | − | 8.38967i | −0.525704 | − | 0.299440i | ||||
\(786\) | −11.6811 | − | 3.42989i | −0.416652 | − | 0.122340i | ||||
\(787\) | −32.1360 | − | 2.29841i | −1.14552 | − | 0.0819296i | −0.514357 | − | 0.857576i | \(-0.671969\pi\) |
−0.631168 | + | 0.775646i | \(0.717424\pi\) | |||||||
\(788\) | 3.37960 | − | 6.18928i | 0.120393 | − | 0.220484i | ||||
\(789\) | −16.6870 | − | 10.7241i | −0.594074 | − | 0.381788i | ||||
\(790\) | −1.39267 | + | 0.276851i | −0.0495489 | + | 0.00984991i | ||||
\(791\) | −31.0752 | + | 35.8626i | −1.10491 | + | 1.27513i | ||||
\(792\) | −0.673454 | + | 3.09582i | −0.0239301 | + | 0.110005i | ||||
\(793\) | 3.80242 | − | 5.07944i | 0.135028 | − | 0.180376i | ||||
\(794\) | −22.4271 | + | 3.22454i | −0.795910 | + | 0.114435i | ||||
\(795\) | 11.8935 | − | 5.17540i | 0.421818 | − | 0.183552i | ||||
\(796\) | −0.393184 | − | 0.340696i | −0.0139360 | − | 0.0120756i | ||||
\(797\) | −13.2540 | − | 35.5353i | −0.469481 | − | 1.25873i | −0.928842 | − | 0.370477i | \(-0.879194\pi\) |
0.459361 | − | 0.888250i | \(-0.348078\pi\) | |||||||
\(798\) | 13.1544 | − | 2.86157i | 0.465661 | − | 0.101298i | ||||
\(799\) | 77.6021 | − | 22.7860i | 2.74536 | − | 0.806112i | ||||
\(800\) | 1.91449 | − | 4.61895i | 0.0676875 | − | 0.163305i | ||||
\(801\) | 0.987866 | − | 3.36436i | 0.0349045 | − | 0.118874i | ||||
\(802\) | −9.83969 | − | 3.67002i | −0.347452 | − | 0.129593i | ||||
\(803\) | 5.57579 | − | 4.17399i | 0.196765 | − | 0.147297i | ||||
\(804\) | 14.6424 | 0.516398 | ||||||||
\(805\) | −26.7349 | − | 36.2080i | −0.942282 | − | 1.27616i | ||||
\(806\) | 9.54320 | 0.336145 | ||||||||
\(807\) | 0.935945 | − | 0.700640i | 0.0329468 | − | 0.0246637i | ||||
\(808\) | −1.58113 | − | 0.589732i | −0.0556241 | − | 0.0207467i | ||||
\(809\) | 9.16373 | − | 31.2088i | 0.322180 | − | 1.09724i | −0.626083 | − | 0.779756i | \(-0.715343\pi\) |
0.948263 | − | 0.317487i | \(-0.102839\pi\) | |||||||
\(810\) | −1.57297 | + | 6.65302i | −0.0552684 | + | 0.233763i | ||||
\(811\) | −29.0961 | + | 8.54337i | −1.02170 | + | 0.299998i | −0.749332 | − | 0.662195i | \(-0.769625\pi\) |
−0.272369 | + | 0.962193i | \(0.587807\pi\) | |||||||
\(812\) | 19.0306 | − | 4.13985i | 0.667843 | − | 0.145280i | ||||
\(813\) | 0.706388 | + | 1.89390i | 0.0247741 | + | 0.0664220i | ||||
\(814\) | −13.3420 | − | 11.5609i | −0.467637 | − | 0.405210i | ||||
\(815\) | 5.02035 | − | 12.7554i | 0.175855 | − | 0.446802i | ||||
\(816\) | 9.34106 | − | 1.34304i | 0.327002 | − | 0.0470159i | ||||
\(817\) | −11.9220 | + | 15.9259i | −0.417097 | + | 0.557177i | ||||
\(818\) | 1.70462 | − | 7.83602i | 0.0596007 | − | 0.273980i | ||||
\(819\) | −3.57274 | + | 4.12316i | −0.124842 | + | 0.144075i | ||||
\(820\) | −15.9369 | − | 10.6514i | −0.556542 | − | 0.371963i | ||||
\(821\) | −34.1205 | − | 21.9279i | −1.19081 | − | 0.765289i | −0.213469 | − | 0.976950i | \(-0.568476\pi\) |
−0.977343 | + | 0.211661i | \(0.932113\pi\) | |||||||
\(822\) | −10.8483 | + | 19.8671i | −0.378376 | + | 0.692945i | ||||
\(823\) | −42.8343 | − | 3.06357i | −1.49311 | − | 0.106789i | −0.699245 | − | 0.714882i | \(-0.746480\pi\) |
−0.793866 | + | 0.608093i | \(0.791935\pi\) | |||||||
\(824\) | −2.79321 | − | 0.820160i | −0.0973060 | − | 0.0285716i | ||||
\(825\) | 9.34019 | − | 11.5850i | 0.325184 | − | 0.403337i | ||||
\(826\) | −17.4322 | − | 2.50637i | −0.606544 | − | 0.0872079i | ||||
\(827\) | −10.3293 | + | 10.3293i | −0.359185 | + | 0.359185i | −0.863513 | − | 0.504327i | \(-0.831741\pi\) |
0.504327 | + | 0.863513i | \(0.331741\pi\) | |||||||
\(828\) | 5.91159 | − | 2.78150i | 0.205442 | − | 0.0966637i | ||||
\(829\) | 4.29279i | 0.149095i | 0.997217 | + | 0.0745474i | \(0.0237512\pi\) | ||||
−0.997217 | + | 0.0745474i | \(0.976249\pi\) | |||||||
\(830\) | 20.1139 | + | 6.30062i | 0.698163 | + | 0.218698i | ||||
\(831\) | −7.72657 | − | 16.9188i | −0.268032 | − | 0.586908i | ||||
\(832\) | −0.457299 | − | 0.837481i | −0.0158540 | − | 0.0290344i | ||||
\(833\) | 5.58451 | − | 78.0817i | 0.193492 | − | 2.70537i | ||||
\(834\) | 3.88107 | + | 13.2177i | 0.134391 | + | 0.457692i | ||||
\(835\) | 2.06932 | + | 38.6899i | 0.0716116 | + | 1.33892i | ||||
\(836\) | 2.42145 | − | 5.30224i | 0.0837477 | − | 0.183382i | ||||
\(837\) | 55.6904 | − | 3.98306i | 1.92494 | − | 0.137675i | ||||
\(838\) | 12.4928 | + | 2.71765i | 0.431557 | + | 0.0938796i | ||||
\(839\) | −0.954781 | − | 6.64065i | −0.0329627 | − | 0.229261i | 0.966680 | − | 0.255988i | \(-0.0824006\pi\) |
−0.999643 | + | 0.0267269i | \(0.991492\pi\) | |||||||
\(840\) | −8.64371 | + | 8.33857i | −0.298236 | + | 0.287708i | ||||
\(841\) | 6.28219 | − | 4.03732i | 0.216627 | − | 0.139218i | ||||
\(842\) | 2.18891 | + | 30.6049i | 0.0754348 | + | 1.05472i | ||||
\(843\) | 23.1437 | − | 8.63217i | 0.797112 | − | 0.297308i | ||||
\(844\) | −4.79645 | + | 7.46342i | −0.165101 | + | 0.256902i | ||||
\(845\) | −3.36586 | − | 26.8226i | −0.115789 | − | 0.922725i | ||||
\(846\) | −9.78425 | − | 11.2916i | −0.336390 | − | 0.388214i | ||||
\(847\) | 20.5964 | − | 11.2465i | 0.707700 | − | 0.386433i | ||||
\(848\) | −1.58402 | + | 4.24693i | −0.0543956 | + | 0.145840i | ||||
\(849\) | −2.39482 | + | 16.6563i | −0.0821900 | + | 0.571644i | ||||
\(850\) | 34.9818 | + | 11.6521i | 1.19987 | + | 0.399664i | ||||
\(851\) | −2.18353 | + | 36.3393i | −0.0748506 | + | 1.24569i | ||||
\(852\) | 0.707921 | + | 0.707921i | 0.0242530 | + | 0.0242530i | ||||
\(853\) | 30.4853 | + | 40.7236i | 1.04380 | + | 1.39435i | 0.915361 | + | 0.402633i | \(0.131905\pi\) |
0.128437 | + | 0.991718i | \(0.459004\pi\) | |||||||
\(854\) | 25.3866 | − | 11.5937i | 0.868713 | − | 0.396728i | ||||
\(855\) | −3.29586 | + | 6.88675i | −0.112716 | + | 0.235522i | ||||
\(856\) | −0.575985 | + | 0.499093i | −0.0196867 | + | 0.0170587i | ||||
\(857\) | 11.6931 | + | 6.38492i | 0.399429 | + | 0.218105i | 0.666391 | − | 0.745602i | \(-0.267838\pi\) |
−0.266962 | + | 0.963707i | \(0.586020\pi\) | |||||||
\(858\) | −0.603671 | − | 2.77503i | −0.0206090 | − | 0.0947379i | ||||
\(859\) | 10.1299 | + | 4.62618i | 0.345628 | + | 0.157843i | 0.580663 | − | 0.814144i | \(-0.302793\pi\) |
−0.235035 | + | 0.971987i | \(0.575521\pi\) | |||||||
\(860\) | 1.58400 | − | 17.6776i | 0.0540138 | − | 0.602801i | ||||
\(861\) | 24.8933 | + | 38.7347i | 0.848362 | + | 1.32008i | ||||
\(862\) | −21.3362 | − | 15.9720i | −0.726712 | − | 0.544010i | ||||
\(863\) | 25.3726 | + | 18.9937i | 0.863694 | + | 0.646553i | 0.936452 | − | 0.350797i | \(-0.114089\pi\) |
−0.0727579 | + | 0.997350i | \(0.523180\pi\) | |||||||
\(864\) | −3.01816 | − | 4.69635i | −0.102680 | − | 0.159773i | ||||
\(865\) | 4.03999 | − | 45.0868i | 0.137364 | − | 1.53300i | ||||
\(866\) | 18.7546 | + | 8.56496i | 0.637309 | + | 0.291049i | ||||
\(867\) | 10.1684 | + | 46.7432i | 0.345336 | + | 1.58748i | ||||
\(868\) | 36.8415 | + | 20.1170i | 1.25048 | + | 0.682815i | ||||
\(869\) | 1.11611 | − | 0.967111i | 0.0378613 | − | 0.0328070i | ||||
\(870\) | 5.73221 | − | 11.9775i | 0.194340 | − | 0.406077i | ||||
\(871\) | 9.93112 | − | 4.53539i | 0.336503 | − | 0.153676i | ||||
\(872\) | 4.71376 | + | 6.29684i | 0.159628 | + | 0.213238i | ||||
\(873\) | 0.444768 | + | 0.444768i | 0.0150531 | + | 0.0150531i | ||||
\(874\) | −11.7156 | + | 2.68861i | −0.396285 | + | 0.0909436i | ||||
\(875\) | −44.7857 | + | 14.0061i | −1.51403 | + | 0.473494i | ||||
\(876\) | −0.545436 | + | 3.79359i | −0.0184286 | + | 0.128174i | ||||
\(877\) | −7.35276 | + | 19.7135i | −0.248285 | + | 0.665678i | 0.751696 | + | 0.659510i | \(0.229236\pi\) |
−0.999981 | + | 0.00616811i | \(0.998037\pi\) | |||||||
\(878\) | −2.50644 | + | 1.36862i | −0.0845884 | + | 0.0461888i | ||||
\(879\) | 22.1670 | + | 25.5821i | 0.747675 | + | 0.862863i | ||||
\(880\) | 0.647495 | + | 5.15990i | 0.0218270 | + | 0.173940i | ||||
\(881\) | −0.155346 | + | 0.241723i | −0.00523374 | + | 0.00814386i | −0.843861 | − | 0.536563i | \(-0.819723\pi\) |
0.838627 | + | 0.544706i | \(0.183359\pi\) | |||||||
\(882\) | −13.5494 | + | 5.05367i | −0.456233 | + | 0.170166i | ||||
\(883\) | 3.77444 | + | 52.7736i | 0.127020 | + | 1.77597i | 0.517812 | + | 0.855494i | \(0.326747\pi\) |
−0.390792 | + | 0.920479i | \(0.627799\pi\) | |||||||
\(884\) | 5.91951 | − | 3.80424i | 0.199095 | − | 0.127950i | ||||
\(885\) | −8.64177 | + | 8.33670i | −0.290490 | + | 0.280235i | ||||
\(886\) | 1.20959 | + | 8.41285i | 0.0406368 | + | 0.282635i | ||||
\(887\) | 16.3664 | + | 3.56030i | 0.549531 | + | 0.119543i | 0.478754 | − | 0.877949i | \(-0.341089\pi\) |
0.0707768 | + | 0.997492i | \(0.477452\pi\) | |||||||
\(888\) | 9.68961 | − | 0.693015i | 0.325162 | − | 0.0232561i | ||||
\(889\) | 10.0392 | − | 21.9827i | 0.336703 | − | 0.737277i | ||||
\(890\) | −0.307389 | − | 5.74724i | −0.0103037 | − | 0.192648i | ||||
\(891\) | −2.00323 | − | 6.82237i | −0.0671107 | − | 0.228558i | ||||
\(892\) | 1.53297 | − | 21.4338i | 0.0513278 | − | 0.717656i | ||||
\(893\) | 13.1740 | + | 24.1264i | 0.440852 | + | 0.807360i | ||||
\(894\) | −0.854656 | − | 1.87144i | −0.0285840 | − | 0.0625902i | ||||
\(895\) | 8.33118 | + | 2.60972i | 0.278481 | + | 0.0872333i | ||||
\(896\) | − | 4.19707i | − | 0.140214i | ||||||
\(897\) | −3.78442 | + | 4.46926i | −0.126358 | + | 0.149224i | ||||
\(898\) | −22.2917 | + | 22.2917i | −0.743884 | + | 0.743884i | ||||
\(899\) | −45.9364 | − | 6.60466i | −1.53207 | − | 0.220278i | ||||
\(900\) | −0.726532 | − | 6.77255i | −0.0242177 | − | 0.225752i | ||||
\(901\) | −32.0716 | − | 9.41707i | −1.06846 | − | 0.313728i | ||||
\(902\) | 19.8860 | + | 1.42228i | 0.662133 | + | 0.0473567i | ||||
\(903\) | −20.4316 | + | 37.4177i | −0.679921 | + | 1.24518i | ||||
\(904\) | −9.51140 | − | 6.11261i | −0.316345 | − | 0.203302i | ||||
\(905\) | −1.53501 | − | 1.02592i | −0.0510256 | − | 0.0341028i | ||||
\(906\) | −3.54273 | + | 4.08853i | −0.117699 | + | 0.135832i | ||||
\(907\) | 11.5239 | − | 52.9746i | 0.382645 | − | 1.75899i | −0.234473 | − | 0.972123i | \(-0.575336\pi\) |
0.617118 | − | 0.786870i | \(-0.288300\pi\) | |||||||
\(908\) | 6.35503 | − | 8.48933i | 0.210899 | − | 0.281728i | ||||
\(909\) | −2.27549 | + | 0.327167i | −0.0754734 | + | 0.0108514i | ||||
\(910\) | −3.27972 | + | 8.33291i | −0.108722 | + | 0.276233i | ||||
\(911\) | 7.92425 | + | 6.86640i | 0.262542 | + | 0.227494i | 0.776177 | − | 0.630515i | \(-0.217156\pi\) |
−0.513635 | + | 0.858009i | \(0.671702\pi\) | |||||||
\(912\) | 1.12090 | + | 3.00525i | 0.0371168 | + | 0.0995139i | ||||
\(913\) | −21.4213 | + | 4.65991i | −0.708940 | + | 0.154221i | ||||
\(914\) | −26.8829 | + | 7.89353i | −0.889207 | + | 0.261095i | ||||
\(915\) | 4.37811 | − | 18.5177i | 0.144736 | − | 0.612175i | ||||
\(916\) | −0.346114 | + | 1.17876i | −0.0114359 | + | 0.0389472i | ||||
\(917\) | −37.4098 | − | 13.9531i | −1.23538 | − | 0.460774i | ||||
\(918\) | 32.9562 | − | 24.6707i | 1.08772 | − | 0.814253i | ||||
\(919\) | −36.5354 | −1.20519 | −0.602596 | − | 0.798047i | \(-0.705867\pi\) | ||||
−0.602596 | + | 0.798047i | \(0.705867\pi\) | |||||||
\(920\) | 7.63262 | − | 7.53280i | 0.251640 | − | 0.248349i | ||||
\(921\) | 13.5656 | 0.447001 | ||||||||
\(922\) | −3.27598 | + | 2.45237i | −0.107889 | + | 0.0807645i | ||||
\(923\) | 0.699416 | + | 0.260869i | 0.0230216 | + | 0.00858660i | ||||
\(924\) | 3.51927 | − | 11.9855i | 0.115775 | − | 0.394295i | ||||
\(925\) | 35.0621 | + | 14.5328i | 1.15284 | + | 0.477834i | ||||
\(926\) | −21.1084 | + | 6.19798i | −0.693664 | + | 0.203678i | ||||
\(927\) | −3.87515 | + | 0.842986i | −0.127276 | + | 0.0276873i | ||||
\(928\) | 1.62162 | + | 4.34772i | 0.0532322 | + | 0.142721i | ||||
\(929\) | −17.3480 | − | 15.0321i | −0.569169 | − | 0.493188i | 0.322073 | − | 0.946715i | \(-0.395620\pi\) |
−0.891243 | + | 0.453527i | \(0.850166\pi\) | |||||||
\(930\) | 26.2424 | − | 11.4193i | 0.860524 | − | 0.374453i | ||||
\(931\) | 26.3354 | − | 3.78646i | 0.863107 | − | 0.124096i | ||||
\(932\) | 14.4164 | − | 19.2581i | 0.472226 | − | 0.630820i | ||||
\(933\) | −6.92857 | + | 31.8501i | −0.226831 | + | 1.04273i | ||||
\(934\) | −0.113053 | + | 0.130470i | −0.00369920 | + | 0.00426911i | ||||
\(935\) | −37.6129 | + | 7.47713i | −1.23007 | + | 0.244528i | ||||
\(936\) | −1.09354 | − | 0.702773i | −0.0357433 | − | 0.0229708i | ||||
\(937\) | 10.4419 | − | 19.1229i | 0.341122 | − | 0.624719i | −0.649653 | − | 0.760230i | \(-0.725086\pi\) |
0.990776 | + | 0.135512i | \(0.0432678\pi\) | |||||||
\(938\) | 47.8996 | + | 3.42585i | 1.56398 | + | 0.111858i | ||||
\(939\) | −40.2453 | − | 11.8171i | −1.31336 | − | 0.385636i | ||||
\(940\) | −21.3099 | − | 12.1380i | −0.695051 | − | 0.395900i | ||||
\(941\) | −2.81745 | − | 0.405088i | −0.0918461 | − | 0.0132055i | 0.0962385 | − | 0.995358i | \(-0.469319\pi\) |
−0.188085 | + | 0.982153i | \(0.560228\pi\) | |||||||
\(942\) | −6.85982 | + | 6.85982i | −0.223505 | + | 0.223505i | ||||
\(943\) | −22.6193 | − | 34.3306i | −0.736584 | − | 1.11796i | ||||
\(944\) | − | 4.19613i | − | 0.136572i | ||||||
\(945\) | −15.6613 | + | 49.9965i | −0.509461 | + | 1.62639i | ||||
\(946\) | 7.66842 | + | 16.7915i | 0.249322 | + | 0.545939i | ||||
\(947\) | −8.38038 | − | 15.3475i | −0.272326 | − | 0.498727i | 0.705347 | − | 0.708862i | \(-0.250791\pi\) |
−0.977672 | + | 0.210135i | \(0.932610\pi\) | |||||||
\(948\) | −0.0579731 | + | 0.810570i | −0.00188288 | + | 0.0263261i | ||||
\(949\) | 0.805101 | + | 2.74192i | 0.0261347 | + | 0.0890066i | ||||
\(950\) | −1.34249 | + | 12.4597i | −0.0435561 | + | 0.404247i | ||||
\(951\) | 4.79507 | − | 10.4997i | 0.155491 | − | 0.340478i | ||||
\(952\) | 30.8715 | − | 2.20798i | 1.00055 | − | 0.0715609i | ||||
\(953\) | 57.1755 | + | 12.4378i | 1.85210 | + | 0.402899i | 0.993887 | − | 0.110402i | \(-0.0352140\pi\) |
0.858209 | + | 0.513301i | \(0.171578\pi\) | |||||||
\(954\) | 0.878772 | + | 6.11199i | 0.0284513 | + | 0.197883i | ||||
\(955\) | −6.91433 | − | 0.124237i | −0.223742 | − | 0.00402023i | ||||
\(956\) | 7.51003 | − | 4.82640i | 0.242892 | − | 0.156097i | ||||
\(957\) | 0.985241 | + | 13.7755i | 0.0318483 | + | 0.445297i | ||||
\(958\) | 14.9485 | − | 5.57550i | 0.482964 | − | 0.180136i | ||||
\(959\) | −40.1360 | + | 62.4529i | −1.29606 | + | 2.01671i | ||||
\(960\) | −2.25963 | − | 1.75575i | −0.0729292 | − | 0.0566667i | ||||
\(961\) | −45.2019 | − | 52.1658i | −1.45813 | − | 1.68277i | ||||
\(962\) | 6.35725 | − | 3.47132i | 0.204966 | − | 0.111920i | ||||
\(963\) | −0.362829 | + | 0.972783i | −0.0116920 | + | 0.0313475i | ||||
\(964\) | 1.35523 | − | 9.42581i | 0.0436489 | − | 0.303585i | ||||
\(965\) | −5.28584 | + | 3.81070i | −0.170157 | + | 0.122671i | ||||
\(966\) | −24.0309 | + | 9.27605i | −0.773182 | + | 0.298452i | ||||
\(967\) | 17.6853 | + | 17.6853i | 0.568722 | + | 0.568722i | 0.931770 | − | 0.363049i | \(-0.118264\pi\) |
−0.363049 | + | 0.931770i | \(0.618264\pi\) | |||||||
\(968\) | 3.35071 | + | 4.47602i | 0.107696 | + | 0.143865i | ||||
\(969\) | −21.5154 | + | 9.82577i | −0.691175 | + | 0.315649i | ||||
\(970\) | 0.931288 | + | 0.445696i | 0.0299019 | + | 0.0143104i | ||||
\(971\) | 33.1374 | − | 28.7137i | 1.06343 | − | 0.921468i | 0.0663479 | − | 0.997797i | \(-0.478865\pi\) |
0.997083 | + | 0.0763287i | \(0.0243198\pi\) | |||||||
\(972\) | −11.2651 | − | 6.15120i | −0.361328 | − | 0.197300i | ||||
\(973\) | 9.60360 | + | 44.1470i | 0.307877 | + | 1.41529i | ||||
\(974\) | 7.56664 | + | 3.45557i | 0.242451 | + | 0.110724i | ||||
\(975\) | 3.11429 | + | 5.25163i | 0.0997370 | + | 0.168187i | ||||
\(976\) | 3.59502 | + | 5.59396i | 0.115074 | + | 0.179058i | ||||
\(977\) | 3.96755 | + | 2.97007i | 0.126933 | + | 0.0950210i | 0.660858 | − | 0.750511i | \(-0.270193\pi\) |
−0.533925 | + | 0.845532i | \(0.679283\pi\) | |||||||
\(978\) | −6.28038 | − | 4.70144i | −0.200824 | − | 0.150335i | ||||
\(979\) | 3.23632 | + | 5.03582i | 0.103433 | + | 0.160945i | ||||
\(980\) | −18.2155 | + | 15.2195i | −0.581871 | + | 0.486170i | ||||
\(981\) | 9.74702 | + | 4.45131i | 0.311198 | + | 0.142119i | ||||
\(982\) | 3.72315 | + | 17.1150i | 0.118810 | + | 0.546163i | ||||
\(983\) | −29.0885 | − | 15.8835i | −0.927780 | − | 0.506606i | −0.0570519 | − | 0.998371i | \(-0.518170\pi\) |
−0.870728 | + | 0.491765i | \(0.836352\pi\) | |||||||
\(984\) | −8.29096 | + | 7.18416i | −0.264306 | + | 0.229023i | ||||
\(985\) | −5.24420 | − | 14.8709i | −0.167094 | − | 0.473825i | ||||
\(986\) | −31.1265 | + | 14.2150i | −0.991271 | + | 0.452698i | ||||
\(987\) | 35.3026 | + | 47.1587i | 1.12369 | + | 1.50108i | ||||
\(988\) | 1.69110 | + | 1.69110i | 0.0538011 | + | 0.0538011i | ||||
\(989\) | 17.8616 | − | 33.6154i | 0.567967 | − | 1.06891i | ||||
\(990\) | 4.14293 | + | 5.74668i | 0.131671 | + | 0.182641i | ||||
\(991\) | −0.725819 | + | 5.04818i | −0.0230564 | + | 0.160361i | −0.998097 | − | 0.0616668i | \(-0.980358\pi\) |
0.975040 | + | 0.222028i | \(0.0712675\pi\) | |||||||
\(992\) | −3.49508 | + | 9.37068i | −0.110969 | + | 0.297519i | ||||
\(993\) | 7.00337 | − | 3.82413i | 0.222245 | − | 0.121355i | ||||
\(994\) | 2.15019 | + | 2.48145i | 0.0681997 | + | 0.0787067i | ||||
\(995\) | −1.15428 | + | 0.144846i | −0.0365931 | + | 0.00459192i | ||||
\(996\) | 6.52176 | − | 10.1481i | 0.206650 | − | 0.321554i | ||||
\(997\) | −21.8868 | + | 8.16335i | −0.693162 | + | 0.258536i | −0.671258 | − | 0.741224i | \(-0.734246\pi\) |
−0.0219041 | + | 0.999760i | \(0.506973\pi\) | |||||||
\(998\) | −0.325618 | − | 4.55273i | −0.0103073 | − | 0.144114i | ||||
\(999\) | 35.6496 | − | 22.9106i | 1.12790 | − | 0.724860i |
(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 | 230.2.l.a.107.8 | yes | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.153.5 | yes | 240 | |
23.20 | odd | 22 | inner | 230.2.l.a.227.5 | yes | 240 | |
115.43 | even | 44 | inner | 230.2.l.a.43.8 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.43.8 | ✓ | 240 | 115.43 | even | 44 | inner | |
230.2.l.a.107.8 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.153.5 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.227.5 | yes | 240 | 23.20 | odd | 22 | inner |