Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(51,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.51");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.w (of order \(26\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(744\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 116.25 | ||
Character | \(\chi\) | \(=\) | 845.116 |
Dual form | 845.2.w.a.51.25 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{7}{26}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.430117 | − | 0.485501i | −0.304138 | − | 0.343301i | 0.576494 | − | 0.817101i | \(-0.304420\pi\) |
−0.880632 | + | 0.473800i | \(0.842882\pi\) | |||||||
\(3\) | −0.374141 | − | 0.986528i | −0.216010 | − | 0.569572i | 0.782586 | − | 0.622543i | \(-0.213900\pi\) |
−0.998596 | + | 0.0529706i | \(0.983131\pi\) | |||||||
\(4\) | 0.190362 | − | 1.56777i | 0.0951811 | − | 0.783887i | ||||
\(5\) | 0.239316 | + | 0.970942i | 0.107025 | + | 0.434218i | ||||
\(6\) | −0.318036 | + | 0.605968i | −0.129838 | + | 0.247385i | ||||
\(7\) | −2.62885 | + | 1.81457i | −0.993614 | + | 0.685842i | −0.949690 | − | 0.313193i | \(-0.898601\pi\) |
−0.0439242 | + | 0.999035i | \(0.513986\pi\) | |||||||
\(8\) | −1.91065 | + | 1.31882i | −0.675516 | + | 0.466275i | ||||
\(9\) | 1.41228 | − | 1.25117i | 0.470759 | − | 0.417056i | ||||
\(10\) | 0.368460 | − | 0.533806i | 0.116517 | − | 0.168804i | ||||
\(11\) | −2.76587 | + | 3.12202i | −0.833940 | + | 0.941324i | −0.998989 | − | 0.0449616i | \(-0.985683\pi\) |
0.165049 | + | 0.986285i | \(0.447222\pi\) | |||||||
\(12\) | −1.61787 | + | 0.398770i | −0.467040 | + | 0.115115i | ||||
\(13\) | 3.11786 | + | 1.81078i | 0.864740 | + | 0.502220i | ||||
\(14\) | 2.01169 | + | 0.495837i | 0.537647 | + | 0.132518i | ||||
\(15\) | 0.868323 | − | 0.599360i | 0.224200 | − | 0.154754i | ||||
\(16\) | −1.60470 | − | 0.395523i | −0.401175 | − | 0.0988808i | ||||
\(17\) | 3.19901 | + | 4.63457i | 0.775874 | + | 1.12405i | 0.989129 | + | 0.147051i | \(0.0469783\pi\) |
−0.213254 | + | 0.976997i | \(0.568406\pi\) | |||||||
\(18\) | −1.21489 | − | 0.147514i | −0.286352 | − | 0.0347694i | ||||
\(19\) | 1.49981i | 0.344080i | 0.985090 | + | 0.172040i | \(0.0550359\pi\) | ||||
−0.985090 | + | 0.172040i | \(0.944964\pi\) | |||||||
\(20\) | 1.56777 | − | 0.190362i | 0.350565 | − | 0.0425663i | ||||
\(21\) | 2.77368 | + | 1.91453i | 0.605267 | + | 0.417786i | ||||
\(22\) | 2.70539 | 0.576791 | ||||||||
\(23\) | 5.81150 | 1.21178 | 0.605890 | − | 0.795548i | \(-0.292817\pi\) | ||||
0.605890 | + | 0.795548i | \(0.292817\pi\) | |||||||
\(24\) | 2.01591 | + | 1.39148i | 0.411495 | + | 0.284035i | ||||
\(25\) | −0.885456 | + | 0.464723i | −0.177091 | + | 0.0929446i | ||||
\(26\) | −0.461909 | − | 2.29257i | −0.0905878 | − | 0.449611i | ||||
\(27\) | −4.56541 | − | 2.39611i | −0.878614 | − | 0.461132i | ||||
\(28\) | 2.34440 | + | 4.46687i | 0.443049 | + | 0.844160i | ||||
\(29\) | 1.50022 | − | 1.32908i | 0.278583 | − | 0.246803i | −0.512248 | − | 0.858838i | \(-0.671187\pi\) |
0.790831 | + | 0.612034i | \(0.209649\pi\) | |||||||
\(30\) | −0.664471 | − | 0.163777i | −0.121315 | − | 0.0299015i | ||||
\(31\) | −0.452236 | + | 0.861663i | −0.0812239 | + | 0.154759i | −0.922680 | − | 0.385566i | \(-0.874006\pi\) |
0.841457 | + | 0.540325i | \(0.181699\pi\) | |||||||
\(32\) | 2.65599 | + | 5.06057i | 0.469518 | + | 0.894591i | ||||
\(33\) | 4.11478 | + | 1.56053i | 0.716291 | + | 0.271653i | ||||
\(34\) | 0.874141 | − | 3.54653i | 0.149914 | − | 0.608225i | ||||
\(35\) | −2.39097 | − | 2.11821i | −0.404147 | − | 0.358043i | ||||
\(36\) | −1.69270 | − | 2.45230i | −0.282117 | − | 0.408717i | ||||
\(37\) | −1.23796 | + | 2.35873i | −0.203519 | + | 0.387773i | −0.965727 | − | 0.259559i | \(-0.916423\pi\) |
0.762208 | + | 0.647332i | \(0.224115\pi\) | |||||||
\(38\) | 0.728161 | − | 0.645094i | 0.118123 | − | 0.104648i | ||||
\(39\) | 0.619866 | − | 3.75335i | 0.0992580 | − | 0.601016i | ||||
\(40\) | −1.73775 | − | 1.53951i | −0.274762 | − | 0.243418i | ||||
\(41\) | 5.97959 | − | 2.26776i | 0.933855 | − | 0.354165i | 0.159704 | − | 0.987165i | \(-0.448946\pi\) |
0.774151 | + | 0.633000i | \(0.218177\pi\) | |||||||
\(42\) | −0.263498 | − | 2.17010i | −0.0406586 | − | 0.334854i | ||||
\(43\) | −5.18658 | + | 2.72212i | −0.790945 | + | 0.415120i | −0.811269 | − | 0.584673i | \(-0.801223\pi\) |
0.0203235 | + | 0.999793i | \(0.493530\pi\) | |||||||
\(44\) | 4.36810 | + | 4.93057i | 0.658516 | + | 0.743311i | ||||
\(45\) | 1.55279 | + | 1.07181i | 0.231476 | + | 0.159777i | ||||
\(46\) | −2.49962 | − | 2.82149i | −0.368549 | − | 0.416006i | ||||
\(47\) | −5.52452 | + | 0.670799i | −0.805835 | + | 0.0978461i | −0.513079 | − | 0.858341i | \(-0.671495\pi\) |
−0.292756 | + | 0.956187i | \(0.594572\pi\) | |||||||
\(48\) | 0.210189 | + | 1.73106i | 0.0303382 | + | 0.249857i | ||||
\(49\) | 1.13599 | − | 2.99536i | 0.162284 | − | 0.427908i | ||||
\(50\) | 0.606473 | + | 0.230005i | 0.0857683 | + | 0.0325276i | ||||
\(51\) | 3.37525 | − | 4.88989i | 0.472630 | − | 0.684722i | ||||
\(52\) | 3.43242 | − | 4.54340i | 0.475990 | − | 0.630056i | ||||
\(53\) | 3.99520 | + | 5.78805i | 0.548783 | + | 0.795049i | 0.995000 | − | 0.0998754i | \(-0.0318444\pi\) |
−0.446217 | + | 0.894925i | \(0.647229\pi\) | |||||||
\(54\) | 0.800344 | + | 3.24712i | 0.108913 | + | 0.441878i | ||||
\(55\) | −3.69321 | − | 1.93835i | −0.497993 | − | 0.261367i | ||||
\(56\) | 2.62972 | − | 6.93400i | 0.351411 | − | 0.926594i | ||||
\(57\) | 1.47961 | − | 0.561141i | 0.195979 | − | 0.0743249i | ||||
\(58\) | −1.29054 | − | 0.156700i | −0.169456 | − | 0.0205757i | ||||
\(59\) | −1.99247 | − | 8.08376i | −0.259397 | − | 1.05242i | −0.945685 | − | 0.325085i | \(-0.894607\pi\) |
0.686287 | − | 0.727330i | \(-0.259239\pi\) | |||||||
\(60\) | −0.774365 | − | 1.47543i | −0.0999701 | − | 0.190477i | ||||
\(61\) | 0.123834 | − | 0.179404i | 0.0158553 | − | 0.0229703i | −0.814976 | − | 0.579495i | \(-0.803250\pi\) |
0.830831 | + | 0.556524i | \(0.187865\pi\) | |||||||
\(62\) | 0.612853 | − | 0.151055i | 0.0778324 | − | 0.0191840i | ||||
\(63\) | −1.44234 | + | 5.85181i | −0.181718 | + | 0.737259i | ||||
\(64\) | 0.142398 | − | 0.375474i | 0.0177998 | − | 0.0469342i | ||||
\(65\) | −1.01201 | + | 3.46061i | −0.125524 | + | 0.429236i | ||||
\(66\) | −1.01220 | − | 2.66894i | −0.124593 | − | 0.328524i | ||||
\(67\) | 11.5020 | − | 1.39659i | 1.40519 | − | 0.170621i | 0.617442 | − | 0.786616i | \(-0.288169\pi\) |
0.787750 | + | 0.615995i | \(0.211246\pi\) | |||||||
\(68\) | 7.87492 | − | 4.13308i | 0.954975 | − | 0.501209i | ||||
\(69\) | −2.17432 | − | 5.73320i | −0.261757 | − | 0.690196i | ||||
\(70\) | 2.07190i | 0.247639i | ||||||||
\(71\) | −4.90636 | + | 1.86074i | −0.582278 | + | 0.220829i | −0.628116 | − | 0.778120i | \(-0.716173\pi\) |
0.0458378 | + | 0.998949i | \(0.485404\pi\) | |||||||
\(72\) | −1.04829 | + | 4.25308i | −0.123542 | + | 0.501231i | ||||
\(73\) | −4.55544 | + | 5.14203i | −0.533174 | + | 0.601830i | −0.951947 | − | 0.306261i | \(-0.900922\pi\) |
0.418773 | + | 0.908091i | \(0.362460\pi\) | |||||||
\(74\) | 1.67763 | − | 0.413500i | 0.195021 | − | 0.0480684i | ||||
\(75\) | 0.789747 | + | 0.699655i | 0.0911922 | + | 0.0807892i | ||||
\(76\) | 2.35137 | + | 0.285507i | 0.269720 | + | 0.0327499i | ||||
\(77\) | 1.60595 | − | 13.2262i | 0.183015 | − | 1.50726i | ||||
\(78\) | −2.08887 | + | 1.31343i | −0.236518 | + | 0.148717i | ||||
\(79\) | −0.601664 | − | 4.95515i | −0.0676925 | − | 0.557498i | −0.986616 | − | 0.163062i | \(-0.947863\pi\) |
0.918923 | − | 0.394436i | \(-0.129060\pi\) | |||||||
\(80\) | − | 1.65273i | − | 0.184780i | ||||||
\(81\) | 0.0265532 | − | 0.218686i | 0.00295036 | − | 0.0242984i | ||||
\(82\) | −3.67292 | − | 1.92770i | −0.405606 | − | 0.212879i | ||||
\(83\) | 14.2560 | + | 5.40660i | 1.56480 | + | 0.593451i | 0.976562 | − | 0.215235i | \(-0.0690516\pi\) |
0.588241 | + | 0.808686i | \(0.299821\pi\) | |||||||
\(84\) | 3.52956 | − | 3.98405i | 0.385107 | − | 0.434695i | ||||
\(85\) | −3.73432 | + | 4.21518i | −0.405044 | + | 0.457200i | ||||
\(86\) | 3.55243 | + | 1.34726i | 0.383068 | + | 0.145279i | ||||
\(87\) | −1.87246 | − | 0.982744i | −0.200749 | − | 0.105361i | ||||
\(88\) | 1.16720 | − | 9.61277i | 0.124424 | − | 1.02472i | ||||
\(89\) | 14.5111i | 1.53817i | 0.639145 | + | 0.769086i | \(0.279288\pi\) | ||||
−0.639145 | + | 0.769086i | \(0.720712\pi\) | |||||||
\(90\) | −0.147514 | − | 1.21489i | −0.0155493 | − | 0.128060i | ||||
\(91\) | −11.4822 | + | 0.897295i | −1.20366 | + | 0.0940621i | ||||
\(92\) | 1.10629 | − | 9.11111i | 0.115339 | − | 0.949899i | ||||
\(93\) | 1.01925 | + | 0.123760i | 0.105692 | + | 0.0128333i | ||||
\(94\) | 2.70186 | + | 2.39364i | 0.278676 | + | 0.246885i | ||||
\(95\) | −1.45623 | + | 0.358929i | −0.149406 | + | 0.0368253i | ||||
\(96\) | 3.99868 | − | 4.51358i | 0.408113 | − | 0.460665i | ||||
\(97\) | −0.460196 | + | 1.86709i | −0.0467258 | + | 0.189574i | −0.989667 | − | 0.143386i | \(-0.954201\pi\) |
0.942941 | + | 0.332960i | \(0.108047\pi\) | |||||||
\(98\) | −1.94286 | + | 0.736829i | −0.196258 | + | 0.0744309i | ||||
\(99\) | 7.86972i | 0.790936i | ||||||||
\(100\) | 0.560023 | + | 1.47666i | 0.0560023 | + | 0.147666i | ||||
\(101\) | 6.39259 | − | 3.35509i | 0.636087 | − | 0.333844i | −0.115667 | − | 0.993288i | \(-0.536901\pi\) |
0.751754 | + | 0.659444i | \(0.229208\pi\) | |||||||
\(102\) | −3.82580 | + | 0.464537i | −0.378811 | + | 0.0459960i | ||||
\(103\) | −0.222427 | − | 0.586492i | −0.0219164 | − | 0.0577888i | 0.923611 | − | 0.383330i | \(-0.125223\pi\) |
−0.945528 | + | 0.325541i | \(0.894454\pi\) | |||||||
\(104\) | −8.34524 | + | 0.652152i | −0.818318 | + | 0.0639488i | ||||
\(105\) | −1.19512 | + | 3.15126i | −0.116631 | + | 0.307532i | ||||
\(106\) | 1.09170 | − | 4.42921i | 0.106036 | − | 0.430203i | ||||
\(107\) | 12.5477 | − | 3.09272i | 1.21303 | − | 0.298985i | 0.419635 | − | 0.907693i | \(-0.362158\pi\) |
0.793394 | + | 0.608708i | \(0.208312\pi\) | |||||||
\(108\) | −4.62564 | + | 6.70140i | −0.445103 | + | 0.644843i | ||||
\(109\) | 6.22177 | + | 11.8546i | 0.595938 | + | 1.13546i | 0.977463 | + | 0.211106i | \(0.0677065\pi\) |
−0.381526 | + | 0.924358i | \(0.624601\pi\) | |||||||
\(110\) | 0.647442 | + | 2.62678i | 0.0617312 | + | 0.250453i | ||||
\(111\) | 2.79013 | + | 0.338783i | 0.264827 | + | 0.0321558i | ||||
\(112\) | 4.93623 | − | 1.87206i | 0.466430 | − | 0.176893i | ||||
\(113\) | −6.79666 | + | 17.9213i | −0.639376 | + | 1.68589i | 0.0849046 | + | 0.996389i | \(0.472941\pi\) |
−0.724280 | + | 0.689506i | \(0.757828\pi\) | |||||||
\(114\) | −0.908838 | − | 0.476995i | −0.0851205 | − | 0.0446747i | ||||
\(115\) | 1.39078 | + | 5.64262i | 0.129691 | + | 0.526177i | ||||
\(116\) | −1.79811 | − | 2.60501i | −0.166950 | − | 0.241869i | ||||
\(117\) | 6.66888 | − | 1.34365i | 0.616538 | − | 0.124220i | ||||
\(118\) | −3.06768 | + | 4.44431i | −0.282403 | + | 0.409132i | ||||
\(119\) | −16.8195 | − | 6.37879i | −1.54184 | − | 0.584742i | ||||
\(120\) | −0.868608 | + | 2.29033i | −0.0792927 | + | 0.209078i | ||||
\(121\) | −0.771075 | − | 6.35037i | −0.0700977 | − | 0.577307i | ||||
\(122\) | −0.140364 | + | 0.0170432i | −0.0127079 | + | 0.00154302i | ||||
\(123\) | −4.47441 | − | 5.05057i | −0.403444 | − | 0.455395i | ||||
\(124\) | 1.26480 | + | 0.873031i | 0.113583 | + | 0.0784005i | ||||
\(125\) | −0.663123 | − | 0.748511i | −0.0593115 | − | 0.0669488i | ||||
\(126\) | 3.46144 | − | 1.81670i | 0.308369 | − | 0.161845i | ||||
\(127\) | 2.13624 | + | 17.5935i | 0.189560 | + | 1.56117i | 0.708098 | + | 0.706114i | \(0.249554\pi\) |
−0.518538 | + | 0.855055i | \(0.673523\pi\) | |||||||
\(128\) | 10.4441 | − | 3.96092i | 0.923136 | − | 0.350099i | ||||
\(129\) | 4.62596 | + | 4.09824i | 0.407293 | + | 0.360830i | ||||
\(130\) | 2.11541 | − | 0.997136i | 0.185534 | − | 0.0874546i | ||||
\(131\) | −3.36797 | + | 2.98376i | −0.294261 | + | 0.260693i | −0.797316 | − | 0.603562i | \(-0.793748\pi\) |
0.503055 | + | 0.864254i | \(0.332209\pi\) | |||||||
\(132\) | 3.22986 | − | 6.15398i | 0.281123 | − | 0.535635i | ||||
\(133\) | −2.72151 | − | 3.94279i | −0.235985 | − | 0.341883i | ||||
\(134\) | −5.62525 | − | 4.98354i | −0.485947 | − | 0.430512i | ||||
\(135\) | 1.23391 | − | 5.00618i | 0.106198 | − | 0.430863i | ||||
\(136\) | −12.2244 | − | 4.63609i | −1.04823 | − | 0.397541i | ||||
\(137\) | −3.51023 | − | 6.68818i | −0.299899 | − | 0.571409i | 0.688147 | − | 0.725572i | \(-0.258425\pi\) |
−0.988046 | + | 0.154162i | \(0.950732\pi\) | |||||||
\(138\) | −1.84827 | + | 3.52158i | −0.157335 | + | 0.299777i | ||||
\(139\) | −13.8566 | − | 3.41535i | −1.17530 | − | 0.289686i | −0.397145 | − | 0.917756i | \(-0.629999\pi\) |
−0.778157 | + | 0.628070i | \(0.783845\pi\) | |||||||
\(140\) | −3.77602 | + | 3.34526i | −0.319132 | + | 0.282726i | ||||
\(141\) | 2.72871 | + | 5.19912i | 0.229799 | + | 0.437845i | ||||
\(142\) | 3.01370 | + | 1.58171i | 0.252904 | + | 0.132734i | ||||
\(143\) | −14.2769 | + | 4.72565i | −1.19389 | + | 0.395179i | ||||
\(144\) | −2.76115 | + | 1.44916i | −0.230096 | + | 0.120763i | ||||
\(145\) | 1.64948 | + | 1.13855i | 0.136982 | + | 0.0945518i | ||||
\(146\) | 4.45584 | 0.368768 | ||||||||
\(147\) | −3.38002 | −0.278779 | ||||||||
\(148\) | 3.46230 | + | 2.38985i | 0.284599 | + | 0.196445i | ||||
\(149\) | −2.91613 | + | 0.354082i | −0.238899 | + | 0.0290075i | −0.239110 | − | 0.970992i | \(-0.576856\pi\) |
0.000211620 | 1.00000i | \(0.499933\pi\) | ||||||||
\(150\) | − | 0.684357i | − | 0.0558775i | ||||||
\(151\) | −10.1922 | − | 1.23756i | −0.829433 | − | 0.100711i | −0.305202 | − | 0.952288i | \(-0.598724\pi\) |
−0.524231 | + | 0.851576i | \(0.675647\pi\) | |||||||
\(152\) | −1.97799 | − | 2.86561i | −0.160436 | − | 0.232432i | ||||
\(153\) | 10.3165 | + | 2.54279i | 0.834041 | + | 0.205573i | ||||
\(154\) | −7.11208 | + | 4.90911i | −0.573108 | + | 0.395588i | ||||
\(155\) | −0.944852 | − | 0.232885i | −0.0758923 | − | 0.0187058i | ||||
\(156\) | −5.76639 | − | 1.68630i | −0.461681 | − | 0.135012i | ||||
\(157\) | −7.02257 | + | 1.73091i | −0.560462 | + | 0.138141i | −0.509362 | − | 0.860552i | \(-0.670119\pi\) |
−0.0510995 | + | 0.998694i | \(0.516273\pi\) | |||||||
\(158\) | −2.14695 | + | 2.42340i | −0.170802 | + | 0.192796i | ||||
\(159\) | 4.21530 | − | 6.10692i | 0.334295 | − | 0.484310i | ||||
\(160\) | −4.27790 | + | 3.78989i | −0.338198 | + | 0.299617i | ||||
\(161\) | −15.2776 | + | 10.5454i | −1.20404 | + | 0.831090i | ||||
\(162\) | −0.117593 | + | 0.0811687i | −0.00923900 | + | 0.00637722i | ||||
\(163\) | −6.54739 | + | 12.4750i | −0.512831 | + | 0.977118i | 0.482057 | + | 0.876140i | \(0.339890\pi\) |
−0.994889 | + | 0.100978i | \(0.967803\pi\) | |||||||
\(164\) | −2.41704 | − | 9.80634i | −0.188739 | − | 0.765746i | ||||
\(165\) | −0.530453 | + | 4.36867i | −0.0412957 | + | 0.340101i | ||||
\(166\) | −3.50685 | − | 9.24679i | −0.272184 | − | 0.717690i | ||||
\(167\) | −8.53502 | − | 9.63405i | −0.660460 | − | 0.745505i | 0.318865 | − | 0.947800i | \(-0.396698\pi\) |
−0.979325 | + | 0.202295i | \(0.935160\pi\) | |||||||
\(168\) | −7.82446 | −0.603670 | ||||||||
\(169\) | 6.44215 | + | 11.2915i | 0.495550 | + | 0.868580i | ||||
\(170\) | 3.65267 | 0.280147 | ||||||||
\(171\) | 1.87652 | + | 2.11815i | 0.143501 | + | 0.161979i | ||||
\(172\) | 3.28035 | + | 8.64956i | 0.250124 | + | 0.659523i | ||||
\(173\) | 1.98264 | − | 16.3285i | 0.150737 | − | 1.24143i | −0.699345 | − | 0.714784i | \(-0.746525\pi\) |
0.850082 | − | 0.526650i | \(-0.176552\pi\) | |||||||
\(174\) | 0.328254 | + | 1.33178i | 0.0248849 | + | 0.100962i | ||||
\(175\) | 1.48446 | − | 2.82841i | 0.112215 | − | 0.213808i | ||||
\(176\) | 5.67322 | − | 3.91594i | 0.427635 | − | 0.295175i | ||||
\(177\) | −7.22939 | + | 4.99009i | −0.543394 | + | 0.375078i | ||||
\(178\) | 7.04516 | − | 6.24146i | 0.528057 | − | 0.467817i | ||||
\(179\) | 5.63841 | − | 8.16864i | 0.421434 | − | 0.610553i | −0.553553 | − | 0.832814i | \(-0.686728\pi\) |
0.974987 | + | 0.222261i | \(0.0713437\pi\) | |||||||
\(180\) | 1.97595 | − | 2.23039i | 0.147279 | − | 0.166244i | ||||
\(181\) | 13.2585 | − | 3.26792i | 0.985495 | − | 0.242903i | 0.286540 | − | 0.958068i | \(-0.407495\pi\) |
0.698955 | + | 0.715166i | \(0.253649\pi\) | |||||||
\(182\) | 5.37432 | + | 5.18868i | 0.398371 | + | 0.384611i | ||||
\(183\) | −0.223318 | − | 0.0550429i | −0.0165081 | − | 0.00406889i | ||||
\(184\) | −11.1037 | + | 7.66434i | −0.818577 | + | 0.565023i | ||||
\(185\) | −2.58645 | − | 0.637504i | −0.190160 | − | 0.0468702i | ||||
\(186\) | −0.378313 | − | 0.548081i | −0.0277392 | − | 0.0401872i | ||||
\(187\) | −23.3172 | − | 2.83123i | −1.70513 | − | 0.207040i | ||||
\(188\) | 8.78890i | 0.640996i | ||||||||
\(189\) | 16.3497 | − | 1.98522i | 1.18927 | − | 0.144403i | ||||
\(190\) | 0.800609 | + | 0.552621i | 0.0580823 | + | 0.0400913i | ||||
\(191\) | 2.11636 | 0.153134 | 0.0765670 | − | 0.997064i | \(-0.475604\pi\) | ||||
0.0765670 | + | 0.997064i | \(0.475604\pi\) | |||||||
\(192\) | −0.423692 | −0.0305774 | ||||||||
\(193\) | −11.6433 | − | 8.03680i | −0.838104 | − | 0.578501i | 0.0698565 | − | 0.997557i | \(-0.477746\pi\) |
−0.907961 | + | 0.419056i | \(0.862361\pi\) | |||||||
\(194\) | 1.10441 | − | 0.579640i | 0.0792921 | − | 0.0416157i | ||||
\(195\) | 3.79262 | − | 0.296381i | 0.271595 | − | 0.0212243i | ||||
\(196\) | −4.47979 | − | 2.35117i | −0.319985 | − | 0.167941i | ||||
\(197\) | −10.1512 | − | 19.3415i | −0.723245 | − | 1.37803i | −0.917763 | − | 0.397129i | \(-0.870007\pi\) |
0.194518 | − | 0.980899i | \(-0.437686\pi\) | |||||||
\(198\) | 3.82076 | − | 3.38490i | 0.271530 | − | 0.240554i | ||||
\(199\) | −11.3821 | − | 2.80543i | −0.806855 | − | 0.198872i | −0.185748 | − | 0.982597i | \(-0.559471\pi\) |
−0.621107 | + | 0.783725i | \(0.713317\pi\) | |||||||
\(200\) | 1.07891 | − | 2.05568i | 0.0762902 | − | 0.145359i | ||||
\(201\) | −5.68114 | − | 10.8245i | −0.400717 | − | 0.763502i | ||||
\(202\) | −4.37846 | − | 1.66053i | −0.308068 | − | 0.116835i | ||||
\(203\) | −1.53215 | + | 6.21619i | −0.107536 | + | 0.436291i | ||||
\(204\) | −7.02372 | − | 6.22248i | −0.491759 | − | 0.435661i | ||||
\(205\) | 3.63287 | + | 5.26312i | 0.253731 | + | 0.367592i | ||||
\(206\) | −0.189073 | + | 0.360249i | −0.0131733 | + | 0.0250997i | ||||
\(207\) | 8.20744 | − | 7.27116i | 0.570456 | − | 0.505380i | ||||
\(208\) | −4.28703 | − | 4.13895i | −0.297252 | − | 0.286984i | ||||
\(209\) | −4.68244 | − | 4.14828i | −0.323891 | − | 0.286943i | ||||
\(210\) | 2.04398 | − | 0.775180i | 0.141048 | − | 0.0534925i | ||||
\(211\) | −0.107357 | − | 0.884164i | −0.00739075 | − | 0.0608683i | 0.988547 | − | 0.150914i | \(-0.0482217\pi\) |
−0.995938 | + | 0.0900459i | \(0.971299\pi\) | |||||||
\(212\) | 9.83488 | − | 5.16174i | 0.675462 | − | 0.354510i | ||||
\(213\) | 3.67134 | + | 4.14408i | 0.251556 | + | 0.283948i | ||||
\(214\) | −6.89849 | − | 4.76168i | −0.471571 | − | 0.325502i | ||||
\(215\) | −3.88425 | − | 4.38442i | −0.264904 | − | 0.299015i | ||||
\(216\) | 11.8829 | − | 1.44285i | 0.808532 | − | 0.0981736i | ||||
\(217\) | −0.374684 | − | 3.08580i | −0.0254352 | − | 0.209478i | ||||
\(218\) | 3.07933 | − | 8.11954i | 0.208559 | − | 0.549925i | ||||
\(219\) | 6.77714 | + | 2.57023i | 0.457956 | + | 0.173680i | ||||
\(220\) | −3.74194 | + | 5.42113i | −0.252281 | + | 0.365493i | ||||
\(221\) | 1.58190 | + | 20.2427i | 0.106410 | + | 1.36167i | ||||
\(222\) | −1.03560 | − | 1.50033i | −0.0695049 | − | 0.100695i | ||||
\(223\) | 3.01165 | + | 12.2187i | 0.201675 | + | 0.818227i | 0.981379 | + | 0.192079i | \(0.0615231\pi\) |
−0.779705 | + | 0.626148i | \(0.784631\pi\) | |||||||
\(224\) | −16.1650 | − | 8.48403i | −1.08007 | − | 0.566863i | ||||
\(225\) | −0.669062 | + | 1.76417i | −0.0446041 | + | 0.117611i | ||||
\(226\) | 11.6242 | − | 4.40847i | 0.773229 | − | 0.293247i | ||||
\(227\) | −7.47077 | − | 0.907116i | −0.495853 | − | 0.0602074i | −0.131209 | − | 0.991355i | \(-0.541886\pi\) |
−0.364643 | + | 0.931147i | \(0.618809\pi\) | |||||||
\(228\) | −0.598080 | − | 2.42651i | −0.0396088 | − | 0.160699i | ||||
\(229\) | −11.6274 | − | 22.1542i | −0.768361 | − | 1.46399i | −0.882393 | − | 0.470513i | \(-0.844069\pi\) |
0.114032 | − | 0.993477i | \(-0.463623\pi\) | |||||||
\(230\) | 2.14130 | − | 3.10221i | 0.141193 | − | 0.204554i | ||||
\(231\) | −13.6488 | + | 3.36414i | −0.898028 | + | 0.221344i | ||||
\(232\) | −1.11357 | + | 4.51792i | −0.0731092 | + | 0.296616i | ||||
\(233\) | −1.69878 | + | 4.47931i | −0.111291 | + | 0.293449i | −0.979078 | − | 0.203487i | \(-0.934773\pi\) |
0.867787 | + | 0.496936i | \(0.165542\pi\) | |||||||
\(234\) | −3.52074 | − | 2.65982i | −0.230158 | − | 0.173878i | ||||
\(235\) | −1.97341 | − | 5.20346i | −0.128731 | − | 0.339436i | ||||
\(236\) | −13.0528 | + | 1.58490i | −0.849664 | + | 0.103168i | ||||
\(237\) | −4.66329 | + | 2.44748i | −0.302913 | + | 0.158981i | ||||
\(238\) | 4.13743 | + | 10.9095i | 0.268190 | + | 0.707158i | ||||
\(239\) | 12.5084i | 0.809099i | 0.914516 | + | 0.404549i | \(0.132572\pi\) | ||||
−0.914516 | + | 0.404549i | \(0.867428\pi\) | |||||||
\(240\) | −1.63046 | + | 0.618352i | −0.105246 | + | 0.0399144i | ||||
\(241\) | 4.18424 | − | 16.9761i | 0.269531 | − | 1.09353i | −0.667592 | − | 0.744527i | \(-0.732675\pi\) |
0.937122 | − | 0.349001i | \(-0.113479\pi\) | |||||||
\(242\) | −2.75146 | + | 3.10576i | −0.176871 | + | 0.199646i | ||||
\(243\) | −15.2442 | + | 3.75736i | −0.977916 | + | 0.241035i | ||||
\(244\) | −0.257691 | − | 0.228295i | −0.0164970 | − | 0.0146151i | ||||
\(245\) | 3.18018 | + | 0.386143i | 0.203174 | + | 0.0246698i | ||||
\(246\) | −0.527538 | + | 4.34467i | −0.0336346 | + | 0.277006i | ||||
\(247\) | −2.71583 | + | 4.67621i | −0.172804 | + | 0.297540i | ||||
\(248\) | −0.272320 | − | 2.24275i | −0.0172923 | − | 0.142415i | ||||
\(249\) | − | 16.0868i | − | 1.01946i | ||||||
\(250\) | −0.0781829 | + | 0.643894i | −0.00494472 | + | 0.0407234i | ||||
\(251\) | 7.16517 | + | 3.76057i | 0.452261 | + | 0.237365i | 0.675444 | − | 0.737412i | \(-0.263952\pi\) |
−0.223182 | + | 0.974777i | \(0.571644\pi\) | |||||||
\(252\) | 8.89974 | + | 3.37523i | 0.560631 | + | 0.212619i | ||||
\(253\) | −16.0738 | + | 18.1436i | −1.01055 | + | 1.14068i | ||||
\(254\) | 7.62283 | − | 8.60440i | 0.478299 | − | 0.539888i | ||||
\(255\) | 5.55555 | + | 2.10694i | 0.347902 | + | 0.131942i | ||||
\(256\) | −7.12636 | − | 3.74020i | −0.445397 | − | 0.233763i | ||||
\(257\) | 0.294109 | − | 2.42221i | 0.0183460 | − | 0.151093i | −0.980657 | − | 0.195734i | \(-0.937291\pi\) |
0.999003 | + | 0.0446406i | \(0.0142143\pi\) | |||||||
\(258\) | − | 4.00863i | − | 0.249567i | ||||||
\(259\) | −1.02567 | − | 8.44712i | −0.0637318 | − | 0.524879i | ||||
\(260\) | 5.23281 | + | 2.24537i | 0.324525 | + | 0.139252i | ||||
\(261\) | 0.455824 | − | 3.75405i | 0.0282148 | − | 0.232370i | ||||
\(262\) | 2.89724 | + | 0.351789i | 0.178992 | + | 0.0217336i | ||||
\(263\) | 22.9009 | + | 20.2885i | 1.41213 | + | 1.25104i | 0.926194 | + | 0.377046i | \(0.123060\pi\) |
0.485938 | + | 0.873994i | \(0.338478\pi\) | |||||||
\(264\) | −9.91996 | + | 2.44505i | −0.610531 | + | 0.150482i | ||||
\(265\) | −4.66374 | + | 5.26428i | −0.286491 | + | 0.323382i | ||||
\(266\) | −0.743662 | + | 3.01716i | −0.0455969 | + | 0.184994i | ||||
\(267\) | 14.3156 | − | 5.42919i | 0.876100 | − | 0.332261i | ||||
\(268\) | − | 18.2984i | − | 1.11775i | ||||||
\(269\) | 3.02794 | + | 7.98403i | 0.184617 | + | 0.486795i | 0.995089 | − | 0.0989823i | \(-0.0315587\pi\) |
−0.810472 | + | 0.585777i | \(0.800789\pi\) | |||||||
\(270\) | −2.96123 | + | 1.55418i | −0.180215 | + | 0.0945841i | ||||
\(271\) | 24.4345 | − | 2.96688i | 1.48429 | − | 0.180225i | 0.662090 | − | 0.749424i | \(-0.269670\pi\) |
0.822200 | + | 0.569199i | \(0.192747\pi\) | |||||||
\(272\) | −3.30038 | − | 8.70238i | −0.200115 | − | 0.527659i | ||||
\(273\) | 5.18116 | + | 10.9918i | 0.313578 | + | 0.665253i | ||||
\(274\) | −1.73731 | + | 4.58092i | −0.104955 | + | 0.276743i | ||||
\(275\) | 0.998179 | − | 4.04977i | 0.0601925 | − | 0.244210i | ||||
\(276\) | −9.40227 | + | 2.31745i | −0.565950 | + | 0.139494i | ||||
\(277\) | −6.19374 | + | 8.97318i | −0.372146 | + | 0.539146i | −0.963654 | − | 0.267153i | \(-0.913917\pi\) |
0.591509 | + | 0.806299i | \(0.298533\pi\) | |||||||
\(278\) | 4.30181 | + | 8.19641i | 0.258005 | + | 0.491588i | ||||
\(279\) | 0.439403 | + | 1.78273i | 0.0263064 | + | 0.106729i | ||||
\(280\) | 7.36184 | + | 0.893889i | 0.439954 | + | 0.0534201i | ||||
\(281\) | 29.6768 | − | 11.2549i | 1.77037 | − | 0.671412i | 0.770965 | − | 0.636878i | \(-0.219774\pi\) |
0.999404 | − | 0.0345345i | \(-0.0109948\pi\) | |||||||
\(282\) | 1.35052 | − | 3.56102i | 0.0804222 | − | 0.212056i | ||||
\(283\) | 13.0985 | + | 6.87463i | 0.778626 | + | 0.408654i | 0.806707 | − | 0.590951i | \(-0.201248\pi\) |
−0.0280816 | + | 0.999606i | \(0.508940\pi\) | |||||||
\(284\) | 1.98323 | + | 8.04627i | 0.117683 | + | 0.477458i | ||||
\(285\) | 0.898928 | + | 1.30232i | 0.0532479 | + | 0.0771429i | ||||
\(286\) | 8.43504 | + | 4.89887i | 0.498774 | + | 0.289676i | ||||
\(287\) | −11.6045 | + | 16.8120i | −0.684990 | + | 0.992380i | ||||
\(288\) | 10.0826 | + | 3.82383i | 0.594124 | + | 0.225322i | ||||
\(289\) | −5.21727 | + | 13.7568i | −0.306898 | + | 0.809224i | ||||
\(290\) | −0.156700 | − | 1.29054i | −0.00920171 | − | 0.0757829i | ||||
\(291\) | 2.01411 | − | 0.244557i | 0.118069 | − | 0.0143362i | ||||
\(292\) | 7.19436 | + | 8.12075i | 0.421018 | + | 0.475231i | ||||
\(293\) | 8.26848 | + | 5.70732i | 0.483050 | + | 0.333425i | 0.784576 | − | 0.620033i | \(-0.212881\pi\) |
−0.301526 | + | 0.953458i | \(0.597496\pi\) | |||||||
\(294\) | 1.45380 | + | 1.64100i | 0.0847875 | + | 0.0957054i | ||||
\(295\) | 7.37203 | − | 3.86914i | 0.429216 | − | 0.225270i | ||||
\(296\) | −0.745453 | − | 6.13935i | −0.0433286 | − | 0.356843i | ||||
\(297\) | 20.1080 | − | 7.62597i | 1.16679 | − | 0.442504i | ||||
\(298\) | 1.42618 | + | 1.26349i | 0.0826166 | + | 0.0731919i | ||||
\(299\) | 18.1195 | + | 10.5233i | 1.04787 | + | 0.608581i | ||||
\(300\) | 1.24724 | − | 1.10496i | 0.0720093 | − | 0.0637947i | ||||
\(301\) | 8.69527 | − | 16.5675i | 0.501187 | − | 0.954933i | ||||
\(302\) | 3.78301 | + | 5.48064i | 0.217688 | + | 0.315376i | ||||
\(303\) | −5.70162 | − | 5.05119i | −0.327549 | − | 0.290184i | ||||
\(304\) | 0.593211 | − | 2.40675i | 0.0340230 | − | 0.138037i | ||||
\(305\) | 0.203826 | + | 0.0773010i | 0.0116710 | + | 0.00442624i | ||||
\(306\) | −3.20278 | − | 6.10238i | −0.183091 | − | 0.348850i | ||||
\(307\) | −9.65083 | + | 18.3881i | −0.550802 | + | 1.04947i | 0.437823 | + | 0.899061i | \(0.355750\pi\) |
−0.988625 | + | 0.150404i | \(0.951943\pi\) | |||||||
\(308\) | −20.4299 | − | 5.03553i | −1.16410 | − | 0.286926i | ||||
\(309\) | −0.495372 | + | 0.438861i | −0.0281807 | + | 0.0249659i | ||||
\(310\) | 0.293331 | + | 0.558895i | 0.0166601 | + | 0.0317431i | ||||
\(311\) | −25.1922 | − | 13.2219i | −1.42852 | − | 0.749746i | −0.439601 | − | 0.898193i | \(-0.644880\pi\) |
−0.988920 | + | 0.148447i | \(0.952572\pi\) | |||||||
\(312\) | 3.76566 | + | 7.98881i | 0.213188 | + | 0.452277i | ||||
\(313\) | −25.9052 | + | 13.5961i | −1.46425 | + | 0.768497i | −0.993507 | − | 0.113773i | \(-0.963706\pi\) |
−0.470743 | + | 0.882271i | \(0.656014\pi\) | |||||||
\(314\) | 3.86088 | + | 2.66497i | 0.217882 | + | 0.150393i | ||||
\(315\) | −6.02694 | −0.339580 | ||||||||
\(316\) | −7.88308 | −0.443458 | ||||||||
\(317\) | −15.5951 | − | 10.7645i | −0.875908 | − | 0.604595i | 0.0429969 | − | 0.999075i | \(-0.486309\pi\) |
−0.918905 | + | 0.394480i | \(0.870925\pi\) | |||||||
\(318\) | −4.77799 | + | 0.580153i | −0.267936 | + | 0.0325334i | ||||
\(319\) | 8.35975i | 0.468056i | ||||||||
\(320\) | 0.398641 | + | 0.0484038i | 0.0222847 | + | 0.00270586i | ||||
\(321\) | −7.74565 | − | 11.2215i | −0.432320 | − | 0.626324i | ||||
\(322\) | 11.6909 | + | 2.88155i | 0.651510 | + | 0.160583i | ||||
\(323\) | −6.95098 | + | 4.79792i | −0.386763 | + | 0.266963i | ||||
\(324\) | −0.337795 | − | 0.0832589i | −0.0187664 | − | 0.00462550i | ||||
\(325\) | −3.60224 | − | 0.154423i | −0.199816 | − | 0.00856585i | ||||
\(326\) | 8.87278 | − | 2.18694i | 0.491418 | − | 0.121124i | ||||
\(327\) | 9.36707 | − | 10.5732i | 0.518000 | − | 0.584701i | ||||
\(328\) | −8.43411 | + | 12.2189i | −0.465696 | + | 0.674677i | ||||
\(329\) | 13.3060 | − | 11.7881i | 0.733582 | − | 0.649897i | ||||
\(330\) | 2.34915 | − | 1.62150i | 0.129317 | − | 0.0892608i | ||||
\(331\) | −28.2697 | + | 19.5132i | −1.55384 | + | 1.07254i | −0.589540 | + | 0.807739i | \(0.700691\pi\) |
−0.964303 | + | 0.264801i | \(0.914694\pi\) | |||||||
\(332\) | 11.1901 | − | 21.3210i | 0.614138 | − | 1.17014i | ||||
\(333\) | 1.20283 | + | 4.88008i | 0.0659147 | + | 0.267427i | ||||
\(334\) | −1.00629 | + | 8.28753i | −0.0550617 | + | 0.453474i | ||||
\(335\) | 4.10862 | + | 10.8335i | 0.224478 | + | 0.591899i | ||||
\(336\) | −3.69369 | − | 4.16931i | −0.201507 | − | 0.227455i | ||||
\(337\) | −16.5100 | −0.899358 | −0.449679 | − | 0.893190i | \(-0.648462\pi\) | ||||
−0.449679 | + | 0.893190i | \(0.648462\pi\) | |||||||
\(338\) | 2.71118 | − | 7.98435i | 0.147469 | − | 0.434291i | ||||
\(339\) | 20.2228 | 1.09835 | ||||||||
\(340\) | 5.89757 | + | 6.65698i | 0.319841 | + | 0.361026i | ||||
\(341\) | −1.43930 | − | 3.79513i | −0.0779427 | − | 0.205518i | ||||
\(342\) | 0.221243 | − | 1.82210i | 0.0119635 | − | 0.0985281i | ||||
\(343\) | −2.90219 | − | 11.7747i | −0.156704 | − | 0.635771i | ||||
\(344\) | 6.31971 | − | 12.0412i | 0.340736 | − | 0.649218i | ||||
\(345\) | 5.04626 | − | 3.48318i | 0.271681 | − | 0.187528i | ||||
\(346\) | −8.78028 | + | 6.06059i | −0.472031 | + | 0.325819i | ||||
\(347\) | 22.2637 | − | 19.7239i | 1.19518 | − | 1.05883i | 0.198278 | − | 0.980146i | \(-0.436465\pi\) |
0.996899 | − | 0.0786883i | \(-0.0250732\pi\) | |||||||
\(348\) | −1.89717 | + | 2.74852i | −0.101699 | + | 0.147336i | ||||
\(349\) | −9.11491 | + | 10.2886i | −0.487910 | + | 0.550737i | −0.939973 | − | 0.341249i | \(-0.889150\pi\) |
0.452063 | + | 0.891986i | \(0.350688\pi\) | |||||||
\(350\) | −2.01169 | + | 0.495837i | −0.107529 | + | 0.0265036i | ||||
\(351\) | −9.89550 | − | 15.7377i | −0.528183 | − | 0.840017i | ||||
\(352\) | −23.1453 | − | 5.70481i | −1.23365 | − | 0.304067i | ||||
\(353\) | 25.8436 | − | 17.8385i | 1.37551 | − | 0.949448i | 0.375772 | − | 0.926712i | \(-0.377378\pi\) |
0.999741 | − | 0.0227364i | \(-0.00723783\pi\) | |||||||
\(354\) | 5.53218 | + | 1.36356i | 0.294032 | + | 0.0724723i | ||||
\(355\) | −2.98084 | − | 4.31849i | −0.158206 | − | 0.229201i | ||||
\(356\) | 22.7501 | + | 2.76236i | 1.20575 | + | 0.146405i | ||||
\(357\) | 18.9794i | 1.00450i | ||||||||
\(358\) | −6.39106 | + | 0.776016i | −0.337778 | + | 0.0410137i | ||||
\(359\) | 6.84531 | + | 4.72498i | 0.361282 | + | 0.249375i | 0.734853 | − | 0.678227i | \(-0.237251\pi\) |
−0.373571 | + | 0.927602i | \(0.621867\pi\) | |||||||
\(360\) | −4.38037 | −0.230866 | ||||||||
\(361\) | 16.7506 | 0.881609 | ||||||||
\(362\) | −7.28927 | − | 5.03142i | −0.383116 | − | 0.264446i | ||||
\(363\) | −5.97633 | + | 3.13662i | −0.313676 | + | 0.164630i | ||||
\(364\) | −0.779020 | + | 18.1723i | −0.0408317 | + | 0.952487i | ||||
\(365\) | −6.08281 | − | 3.19250i | −0.318389 | − | 0.167103i | ||||
\(366\) | 0.0693294 | + | 0.132096i | 0.00362390 | + | 0.00690477i | ||||
\(367\) | −7.54541 | + | 6.68465i | −0.393867 | + | 0.348936i | −0.836693 | − | 0.547671i | \(-0.815514\pi\) |
0.442826 | + | 0.896608i | \(0.353976\pi\) | |||||||
\(368\) | −9.32571 | − | 2.29858i | −0.486136 | − | 0.119822i | ||||
\(369\) | 5.60749 | − | 10.6842i | 0.291914 | − | 0.556196i | ||||
\(370\) | 0.802968 | + | 1.52993i | 0.0417443 | + | 0.0795372i | ||||
\(371\) | −21.0056 | − | 7.96637i | −1.09056 | − | 0.413594i | ||||
\(372\) | 0.388055 | − | 1.57440i | 0.0201197 | − | 0.0816288i | ||||
\(373\) | −14.9536 | − | 13.2478i | −0.774270 | − | 0.685943i | 0.180405 | − | 0.983592i | \(-0.442259\pi\) |
−0.954675 | + | 0.297649i | \(0.903798\pi\) | |||||||
\(374\) | 8.65457 | + | 12.5383i | 0.447517 | + | 0.648341i | ||||
\(375\) | −0.490325 | + | 0.934237i | −0.0253203 | + | 0.0482438i | ||||
\(376\) | 9.67075 | − | 8.56754i | 0.498731 | − | 0.441837i | ||||
\(377\) | 7.08414 | − | 1.42731i | 0.364852 | − | 0.0735105i | ||||
\(378\) | −7.99611 | − | 7.08394i | −0.411276 | − | 0.364358i | ||||
\(379\) | 16.3705 | − | 6.20850i | 0.840894 | − | 0.318909i | 0.103715 | − | 0.994607i | \(-0.466927\pi\) |
0.737179 | + | 0.675698i | \(0.236158\pi\) | |||||||
\(380\) | 0.285507 | + | 2.35137i | 0.0146462 | + | 0.120622i | ||||
\(381\) | 16.5572 | − | 8.68989i | 0.848251 | − | 0.445197i | ||||
\(382\) | −0.910280 | − | 1.02749i | −0.0465740 | − | 0.0525711i | ||||
\(383\) | −4.30478 | − | 2.97137i | −0.219964 | − | 0.151830i | 0.452987 | − | 0.891517i | \(-0.350358\pi\) |
−0.672951 | + | 0.739687i | \(0.734974\pi\) | |||||||
\(384\) | −7.81512 | − | 8.82145i | −0.398814 | − | 0.450168i | ||||
\(385\) | 13.2262 | − | 1.60595i | 0.674069 | − | 0.0818468i | ||||
\(386\) | 1.10611 | + | 9.10961i | 0.0562993 | + | 0.463667i | ||||
\(387\) | −3.91904 | + | 10.3337i | −0.199216 | + | 0.525290i | ||||
\(388\) | 2.83956 | + | 1.07690i | 0.144157 | + | 0.0546716i | ||||
\(389\) | 7.59417 | − | 11.0021i | 0.385040 | − | 0.557826i | −0.581760 | − | 0.813360i | \(-0.697636\pi\) |
0.966800 | + | 0.255534i | \(0.0822513\pi\) | |||||||
\(390\) | −1.77516 | − | 1.71385i | −0.0898889 | − | 0.0867840i | ||||
\(391\) | 18.5910 | + | 26.9338i | 0.940189 | + | 1.36210i | ||||
\(392\) | 1.77987 | + | 7.22124i | 0.0898973 | + | 0.364728i | ||||
\(393\) | 4.20366 | + | 2.20625i | 0.212047 | + | 0.111291i | ||||
\(394\) | −5.02413 | + | 13.2476i | −0.253112 | + | 0.667402i | ||||
\(395\) | 4.66717 | − | 1.77003i | 0.234831 | − | 0.0890597i | ||||
\(396\) | 12.3379 | + | 1.49810i | 0.620004 | + | 0.0752822i | ||||
\(397\) | −8.99928 | − | 36.5115i | −0.451661 | − | 1.83246i | −0.547157 | − | 0.837030i | \(-0.684290\pi\) |
0.0954962 | − | 0.995430i | \(-0.469556\pi\) | |||||||
\(398\) | 3.53359 | + | 6.73269i | 0.177123 | + | 0.337479i | ||||
\(399\) | −2.87144 | + | 4.16000i | −0.143752 | + | 0.208261i | ||||
\(400\) | 1.60470 | − | 0.395523i | 0.0802350 | − | 0.0197762i | ||||
\(401\) | 2.86064 | − | 11.6061i | 0.142854 | − | 0.579580i | −0.855261 | − | 0.518198i | \(-0.826603\pi\) |
0.998114 | − | 0.0613819i | \(-0.0195508\pi\) | |||||||
\(402\) | −2.81176 | + | 7.41401i | −0.140238 | + | 0.369777i | ||||
\(403\) | −2.97029 | + | 1.86765i | −0.147961 | + | 0.0930342i | ||||
\(404\) | −4.04311 | − | 10.6608i | −0.201152 | − | 0.530395i | ||||
\(405\) | 0.218686 | − | 0.0265532i | 0.0108666 | − | 0.00131944i | ||||
\(406\) | 3.67698 | − | 1.92983i | 0.182485 | − | 0.0957757i | ||||
\(407\) | −3.93998 | − | 10.3889i | −0.195297 | − | 0.514957i | ||||
\(408\) | 13.7942i | 0.682916i | ||||||||
\(409\) | 13.4479 | − | 5.10011i | 0.664955 | − | 0.252184i | 0.00104810 | − | 0.999999i | \(-0.499666\pi\) |
0.663907 | + | 0.747815i | \(0.268897\pi\) | |||||||
\(410\) | 0.992695 | − | 4.02752i | 0.0490257 | − | 0.198905i | ||||
\(411\) | −5.28475 | + | 5.96525i | −0.260678 | + | 0.294244i | ||||
\(412\) | −0.961828 | + | 0.237069i | −0.0473859 | + | 0.0116796i | ||||
\(413\) | 19.9064 | + | 17.6356i | 0.979532 | + | 0.867789i | ||||
\(414\) | −7.06031 | − | 0.857277i | −0.346996 | − | 0.0421329i | ||||
\(415\) | −1.83780 | + | 15.1357i | −0.0902142 | + | 0.742980i | ||||
\(416\) | −0.882561 | + | 20.5876i | −0.0432711 | + | 1.00939i | ||||
\(417\) | 1.81499 | + | 14.9478i | 0.0888802 | + | 0.731995i | ||||
\(418\) | 4.05758i | 0.198463i | ||||||||
\(419\) | −2.98958 | + | 24.6214i | −0.146051 | + | 1.20283i | 0.716765 | + | 0.697315i | \(0.245622\pi\) |
−0.862815 | + | 0.505519i | \(0.831301\pi\) | |||||||
\(420\) | 4.71296 | + | 2.47355i | 0.229969 | + | 0.120697i | ||||
\(421\) | 4.89797 | + | 1.85756i | 0.238713 | + | 0.0905317i | 0.471060 | − | 0.882101i | \(-0.343871\pi\) |
−0.232348 | + | 0.972633i | \(0.574641\pi\) | |||||||
\(422\) | −0.383087 | + | 0.432416i | −0.0186484 | + | 0.0210497i | ||||
\(423\) | −6.96287 | + | 7.85946i | −0.338547 | + | 0.382140i | ||||
\(424\) | −15.2668 | − | 5.78995i | −0.741423 | − | 0.281185i | ||||
\(425\) | −4.98638 | − | 2.61705i | −0.241875 | − | 0.126946i | ||||
\(426\) | 0.432855 | − | 3.56488i | 0.0209719 | − | 0.172719i | ||||
\(427\) | 0.696331i | 0.0336978i | ||||||||
\(428\) | −2.46009 | − | 20.2606i | −0.118913 | − | 0.979335i | ||||
\(429\) | 10.0035 | + | 12.3165i | 0.482976 | + | 0.594645i | ||||
\(430\) | −0.457958 | + | 3.77162i | −0.0220847 | + | 0.181884i | ||||
\(431\) | −11.7726 | − | 1.42945i | −0.567065 | − | 0.0688541i | −0.168017 | − | 0.985784i | \(-0.553736\pi\) |
−0.399048 | + | 0.916930i | \(0.630659\pi\) | |||||||
\(432\) | 6.37840 | + | 5.65077i | 0.306881 | + | 0.271873i | ||||
\(433\) | 3.10921 | − | 0.766351i | 0.149419 | − | 0.0368285i | −0.163897 | − | 0.986478i | \(-0.552406\pi\) |
0.313316 | + | 0.949649i | \(0.398560\pi\) | |||||||
\(434\) | −1.33700 | + | 1.50916i | −0.0641782 | + | 0.0724422i | ||||
\(435\) | 0.506078 | − | 2.05324i | 0.0242646 | − | 0.0984452i | ||||
\(436\) | 19.7697 | − | 7.49766i | 0.946797 | − | 0.359073i | ||||
\(437\) | 8.71615i | 0.416950i | ||||||||
\(438\) | −1.66711 | − | 4.39581i | −0.0796576 | − | 0.210040i | ||||
\(439\) | 19.9118 | − | 10.4505i | 0.950340 | − | 0.498777i | 0.0830308 | − | 0.996547i | \(-0.473540\pi\) |
0.867309 | + | 0.497770i | \(0.165848\pi\) | |||||||
\(440\) | 9.61277 | − | 1.16720i | 0.458271 | − | 0.0556441i | ||||
\(441\) | −2.14336 | − | 5.65158i | −0.102065 | − | 0.269123i | ||||
\(442\) | 9.14744 | − | 9.47472i | 0.435099 | − | 0.450667i | ||||
\(443\) | 13.5218 | − | 35.6541i | 0.642440 | − | 1.69398i | −0.0748441 | − | 0.997195i | \(-0.523846\pi\) |
0.717284 | − | 0.696781i | \(-0.245385\pi\) | |||||||
\(444\) | 1.06227 | − | 4.30979i | 0.0504130 | − | 0.204534i | ||||
\(445\) | −14.0894 | + | 3.47273i | −0.667903 | + | 0.164623i | ||||
\(446\) | 4.63685 | − | 6.71764i | 0.219561 | − | 0.318090i | ||||
\(447\) | 1.44035 | + | 2.74437i | 0.0681264 | + | 0.129804i | ||||
\(448\) | 0.306978 | + | 1.24546i | 0.0145033 | + | 0.0588424i | ||||
\(449\) | 38.8002 | + | 4.71119i | 1.83109 | + | 0.222335i | 0.962139 | − | 0.272558i | \(-0.0878695\pi\) |
0.868954 | + | 0.494893i | \(0.164793\pi\) | |||||||
\(450\) | 1.14428 | − | 0.433969i | 0.0539420 | − | 0.0204575i | ||||
\(451\) | −9.45876 | + | 24.9407i | −0.445396 | + | 1.17441i | ||||
\(452\) | 26.8027 | + | 14.0672i | 1.26069 | + | 0.661663i | ||||
\(453\) | 2.59244 | + | 10.5179i | 0.121804 | + | 0.494176i | ||||
\(454\) | 2.77290 | + | 4.01724i | 0.130139 | + | 0.188538i | ||||
\(455\) | −3.61909 | − | 10.9338i | −0.169666 | − | 0.512585i | ||||
\(456\) | −2.08696 | + | 3.02348i | −0.0977308 | + | 0.141588i | ||||
\(457\) | 11.0801 | + | 4.20211i | 0.518304 | + | 0.196567i | 0.599864 | − | 0.800102i | \(-0.295221\pi\) |
−0.0815607 | + | 0.996668i | \(0.525990\pi\) | |||||||
\(458\) | −5.75475 | + | 15.1740i | −0.268902 | + | 0.709035i | ||||
\(459\) | −3.49986 | − | 28.8239i | −0.163359 | − | 1.34539i | ||||
\(460\) | 9.11111 | − | 1.10629i | 0.424808 | − | 0.0515810i | ||||
\(461\) | 23.5694 | + | 26.6044i | 1.09774 | + | 1.23909i | 0.968908 | + | 0.247421i | \(0.0795832\pi\) |
0.128828 | + | 0.991667i | \(0.458878\pi\) | |||||||
\(462\) | 7.50389 | + | 5.17956i | 0.349113 | + | 0.240975i | ||||
\(463\) | 5.71137 | + | 6.44680i | 0.265430 | + | 0.299608i | 0.866082 | − | 0.499902i | \(-0.166631\pi\) |
−0.600652 | + | 0.799511i | \(0.705092\pi\) | |||||||
\(464\) | −2.93308 | + | 1.53940i | −0.136165 | + | 0.0714648i | ||||
\(465\) | 0.123760 | + | 1.01925i | 0.00573923 | + | 0.0472668i | ||||
\(466\) | 2.90539 | − | 1.10187i | 0.134589 | − | 0.0510430i | ||||
\(467\) | −18.0964 | − | 16.0320i | −0.837400 | − | 0.741872i | 0.130971 | − | 0.991386i | \(-0.458191\pi\) |
−0.968371 | + | 0.249514i | \(0.919729\pi\) | |||||||
\(468\) | −0.837034 | − | 10.7111i | −0.0386919 | − | 0.495119i | ||||
\(469\) | −27.7029 | + | 24.5426i | −1.27920 | + | 1.13327i | ||||
\(470\) | −1.67749 | + | 3.19619i | −0.0773768 | + | 0.147429i | ||||
\(471\) | 4.33502 | + | 6.28036i | 0.199747 | + | 0.289383i | ||||
\(472\) | 14.4680 | + | 12.8175i | 0.665942 | + | 0.589973i | ||||
\(473\) | 5.84685 | − | 23.7216i | 0.268839 | − | 1.09072i | ||||
\(474\) | 3.19401 | + | 1.21133i | 0.146706 | + | 0.0556382i | ||||
\(475\) | −0.696997 | − | 1.32802i | −0.0319804 | − | 0.0609336i | ||||
\(476\) | −13.2023 | + | 25.1548i | −0.605126 | + | 1.15297i | ||||
\(477\) | 12.8841 | + | 3.17566i | 0.589925 | + | 0.145403i | ||||
\(478\) | 6.07283 | − | 5.38006i | 0.277765 | − | 0.246078i | ||||
\(479\) | −4.10195 | − | 7.81561i | −0.187423 | − | 0.357104i | 0.773555 | − | 0.633729i | \(-0.218476\pi\) |
−0.960978 | + | 0.276624i | \(0.910784\pi\) | |||||||
\(480\) | 5.33937 | + | 2.80232i | 0.243708 | + | 0.127908i | ||||
\(481\) | −8.13093 | + | 5.11254i | −0.370739 | + | 0.233112i | ||||
\(482\) | −10.0416 | + | 5.27026i | −0.457384 | + | 0.240054i | ||||
\(483\) | 16.1192 | + | 11.1263i | 0.733451 | + | 0.506265i | ||||
\(484\) | −10.1027 | −0.459215 | ||||||||
\(485\) | −1.92296 | −0.0873173 | ||||||||
\(486\) | 8.38099 | + | 5.78498i | 0.380170 | + | 0.262412i | ||||
\(487\) | −10.5923 | + | 1.28614i | −0.479983 | + | 0.0582805i | −0.356953 | − | 0.934122i | \(-0.616184\pi\) |
−0.123030 | + | 0.992403i | \(0.539261\pi\) | |||||||
\(488\) | 0.506092i | 0.0229097i | ||||||||
\(489\) | 14.7566 | + | 1.79177i | 0.667316 | + | 0.0810268i | ||||
\(490\) | −1.18037 | − | 1.71007i | −0.0533239 | − | 0.0772529i | ||||
\(491\) | 9.61874 | + | 2.37081i | 0.434088 | + | 0.106993i | 0.450304 | − | 0.892875i | \(-0.351316\pi\) |
−0.0162158 | + | 0.999869i | \(0.505162\pi\) | |||||||
\(492\) | −8.76991 | + | 6.05343i | −0.395378 | + | 0.272910i | ||||
\(493\) | 10.9589 | + | 2.70113i | 0.493564 | + | 0.121653i | ||||
\(494\) | 3.43843 | − | 0.692776i | 0.154702 | − | 0.0311695i | ||||
\(495\) | −7.64104 | + | 1.88335i | −0.343439 | + | 0.0846501i | ||||
\(496\) | 1.06651 | − | 1.20384i | 0.0478877 | − | 0.0540541i | ||||
\(497\) | 9.52168 | − | 13.7945i | 0.427105 | − | 0.618769i | ||||
\(498\) | −7.81016 | + | 6.91920i | −0.349982 | + | 0.310057i | ||||
\(499\) | 26.5255 | − | 18.3092i | 1.18744 | − | 0.819633i | 0.200342 | − | 0.979726i | \(-0.435795\pi\) |
0.987102 | + | 0.160093i | \(0.0511794\pi\) | |||||||
\(500\) | −1.29973 | + | 0.897138i | −0.0581256 | + | 0.0401212i | ||||
\(501\) | −6.31096 | + | 12.0245i | −0.281953 | + | 0.537216i | ||||
\(502\) | −1.25610 | − | 5.09618i | −0.0560623 | − | 0.227454i | ||||
\(503\) | 3.27733 | − | 26.9912i | 0.146129 | − | 1.20348i | −0.716480 | − | 0.697608i | \(-0.754248\pi\) |
0.862609 | − | 0.505872i | \(-0.168829\pi\) | |||||||
\(504\) | −4.96170 | − | 13.0829i | −0.221012 | − | 0.582760i | ||||
\(505\) | 4.78745 | + | 5.40391i | 0.213039 | + | 0.240471i | ||||
\(506\) | 15.7224 | 0.698944 | ||||||||
\(507\) | 8.72914 | − | 10.5800i | 0.387675 | − | 0.469873i | ||||
\(508\) | 27.9892 | 1.24182 | ||||||||
\(509\) | −19.1157 | − | 21.5772i | −0.847289 | − | 0.956392i | 0.152200 | − | 0.988350i | \(-0.451364\pi\) |
−0.999489 | + | 0.0319579i | \(0.989826\pi\) | |||||||
\(510\) | −1.36661 | − | 3.60346i | −0.0605146 | − | 0.159564i | ||||
\(511\) | 2.64504 | − | 21.7838i | 0.117009 | − | 0.963660i | ||||
\(512\) | −4.09700 | − | 16.6222i | −0.181064 | − | 0.734604i | ||||
\(513\) | 3.59372 | − | 6.84726i | 0.158667 | − | 0.302314i | ||||
\(514\) | −1.30249 | + | 0.899041i | −0.0574502 | + | 0.0396550i | ||||
\(515\) | 0.516219 | − | 0.356321i | 0.0227473 | − | 0.0157014i | ||||
\(516\) | 7.30572 | − | 6.47230i | 0.321616 | − | 0.284927i | ||||
\(517\) | 13.1859 | − | 19.1030i | 0.579913 | − | 0.840149i | ||||
\(518\) | −3.65993 | + | 4.13121i | −0.160808 | + | 0.181515i | ||||
\(519\) | −16.8503 | + | 4.15323i | −0.739647 | + | 0.182307i | ||||
\(520\) | −2.63035 | − | 7.94667i | −0.115348 | − | 0.348485i | ||||
\(521\) | −5.19636 | − | 1.28079i | −0.227657 | − | 0.0561123i | 0.123837 | − | 0.992303i | \(-0.460480\pi\) |
−0.351494 | + | 0.936190i | \(0.614326\pi\) | |||||||
\(522\) | −2.01865 | + | 1.39338i | −0.0883540 | + | 0.0609864i | ||||
\(523\) | 1.27716 | + | 0.314792i | 0.0558464 | + | 0.0137649i | 0.267140 | − | 0.963658i | \(-0.413921\pi\) |
−0.211293 | + | 0.977423i | \(0.567768\pi\) | |||||||
\(524\) | 4.03673 | + | 5.84821i | 0.176345 | + | 0.255480i | ||||
\(525\) | −3.34570 | − | 0.406242i | −0.146018 | − | 0.0177298i | ||||
\(526\) | − | 19.8448i | − | 0.865276i | ||||||
\(527\) | −5.44014 | + | 0.660553i | −0.236976 | + | 0.0287741i | ||||
\(528\) | −5.98577 | − | 4.13168i | −0.260497 | − | 0.179808i | ||||
\(529\) | 10.7735 | 0.468412 | ||||||||
\(530\) | 4.56177 | 0.198151 | ||||||||
\(531\) | −12.9281 | − | 8.92359i | −0.561030 | − | 0.387251i | ||||
\(532\) | −6.69947 | + | 3.51615i | −0.290459 | + | 0.152445i | ||||
\(533\) | 22.7500 | + | 3.75716i | 0.985410 | + | 0.162741i | ||||
\(534\) | −8.79325 | − | 4.61506i | −0.380521 | − | 0.199713i | ||||
\(535\) | 6.00571 | + | 11.4429i | 0.259649 | + | 0.494721i | ||||
\(536\) | −20.1344 | + | 17.8375i | −0.869673 | + | 0.770463i | ||||
\(537\) | −10.1682 | − | 2.50622i | −0.438788 | − | 0.108152i | ||||
\(538\) | 2.57389 | − | 4.90413i | 0.110968 | − | 0.211432i | ||||
\(539\) | 6.20956 | + | 11.8313i | 0.267465 | + | 0.509611i | ||||
\(540\) | −7.61366 | − | 2.88748i | −0.327640 | − | 0.124257i | ||||
\(541\) | 1.06976 | − | 4.34019i | 0.0459927 | − | 0.186600i | −0.943452 | − | 0.331508i | \(-0.892443\pi\) |
0.989445 | + | 0.144908i | \(0.0462888\pi\) | |||||||
\(542\) | −11.9501 | − | 10.5869i | −0.513301 | − | 0.454745i | ||||
\(543\) | −8.18443 | − | 11.8572i | −0.351227 | − | 0.508841i | ||||
\(544\) | −14.9570 | + | 28.4982i | −0.641277 | + | 1.22185i | ||||
\(545\) | −10.0212 | + | 8.87797i | −0.429259 | + | 0.380290i | ||||
\(546\) | 3.10803 | − | 7.24321i | 0.133011 | − | 0.309981i | ||||
\(547\) | 1.74175 | + | 1.54305i | 0.0744717 | + | 0.0659762i | 0.699538 | − | 0.714596i | \(-0.253389\pi\) |
−0.625066 | + | 0.780572i | \(0.714928\pi\) | |||||||
\(548\) | −11.1538 | + | 4.23006i | −0.476465 | + | 0.180699i | ||||
\(549\) | −0.0495771 | − | 0.408304i | −0.00211590 | − | 0.0174260i | ||||
\(550\) | −2.39550 | + | 1.25726i | −0.102145 | + | 0.0536096i | ||||
\(551\) | 1.99336 | + | 2.25004i | 0.0849202 | + | 0.0958551i | ||||
\(552\) | 11.7154 | + | 8.08658i | 0.498642 | + | 0.344188i | ||||
\(553\) | 10.5731 | + | 11.9346i | 0.449616 | + | 0.507511i | ||||
\(554\) | 7.02052 | − | 0.852446i | 0.298273 | − | 0.0362169i | ||||
\(555\) | 0.338783 | + | 2.79013i | 0.0143805 | + | 0.118434i | ||||
\(556\) | −7.99227 | + | 21.0739i | −0.338948 | + | 0.893731i | ||||
\(557\) | −23.7503 | − | 9.00730i | −1.00633 | − | 0.381651i | −0.204284 | − | 0.978912i | \(-0.565487\pi\) |
−0.802048 | + | 0.597260i | \(0.796256\pi\) | |||||||
\(558\) | 0.676523 | − | 0.980113i | 0.0286395 | − | 0.0414915i | ||||
\(559\) | −21.1002 | − | 0.904536i | −0.892444 | − | 0.0382578i | ||||
\(560\) | 2.99898 | + | 4.34478i | 0.126730 | + | 0.183600i | ||||
\(561\) | 5.93085 | + | 24.0624i | 0.250401 | + | 1.01591i | ||||
\(562\) | −18.2288 | − | 9.56719i | −0.768934 | − | 0.403568i | ||||
\(563\) | 6.55461 | − | 17.2831i | 0.276244 | − | 0.728395i | −0.723049 | − | 0.690797i | \(-0.757260\pi\) |
0.999293 | − | 0.0375986i | \(-0.0119708\pi\) | |||||||
\(564\) | 8.67049 | − | 3.28828i | 0.365093 | − | 0.138462i | ||||
\(565\) | −19.0271 | − | 2.31031i | −0.800476 | − | 0.0971954i | ||||
\(566\) | −2.29625 | − | 9.31624i | −0.0965184 | − | 0.391591i | ||||
\(567\) | 0.327015 | + | 0.623076i | 0.0137334 | + | 0.0261667i | ||||
\(568\) | 6.92034 | − | 10.0258i | 0.290371 | − | 0.420675i | ||||
\(569\) | −4.08341 | + | 1.00647i | −0.171185 | + | 0.0421934i | −0.323977 | − | 0.946065i | \(-0.605020\pi\) |
0.152791 | + | 0.988258i | \(0.451174\pi\) | |||||||
\(570\) | 0.245635 | − | 0.996581i | 0.0102885 | − | 0.0417422i | ||||
\(571\) | 10.4141 | − | 27.4597i | 0.435816 | − | 1.14915i | −0.519736 | − | 0.854327i | \(-0.673970\pi\) |
0.955551 | − | 0.294825i | \(-0.0952612\pi\) | |||||||
\(572\) | 4.69097 | + | 23.2825i | 0.196139 | + | 0.973490i | ||||
\(573\) | −0.791814 | − | 2.08784i | −0.0330785 | − | 0.0872209i | ||||
\(574\) | 13.1535 | − | 1.59713i | 0.549017 | − | 0.0666628i | ||||
\(575\) | −5.14582 | + | 2.70074i | −0.214596 | + | 0.112629i | ||||
\(576\) | −0.268675 | − | 0.708437i | −0.0111948 | − | 0.0295182i | ||||
\(577\) | 6.24605i | 0.260026i | 0.991512 | + | 0.130013i | \(0.0415020\pi\) | ||||
−0.991512 | + | 0.130013i | \(0.958498\pi\) | |||||||
\(578\) | 8.92298 | − | 3.38404i | 0.371147 | − | 0.140758i | ||||
\(579\) | −3.57229 | + | 14.4933i | −0.148459 | + | 0.602323i | ||||
\(580\) | 2.09899 | − | 2.36927i | 0.0871560 | − | 0.0983788i | ||||
\(581\) | −47.2877 | + | 11.6554i | −1.96182 | + | 0.483546i | ||||
\(582\) | −0.985036 | − | 0.872665i | −0.0408310 | − | 0.0361731i | ||||
\(583\) | −29.1206 | − | 3.53588i | −1.20605 | − | 0.146441i | ||||
\(584\) | 1.92241 | − | 15.8324i | 0.0795498 | − | 0.655151i | ||||
\(585\) | 2.90057 | + | 6.15353i | 0.119924 | + | 0.254417i | ||||
\(586\) | −0.785500 | − | 6.46918i | −0.0324487 | − | 0.267239i | ||||
\(587\) | 1.92274i | 0.0793601i | 0.999212 | + | 0.0396801i | \(0.0126339\pi\) | ||||
−0.999212 | + | 0.0396801i | \(0.987366\pi\) | |||||||
\(588\) | −0.643428 | + | 5.29911i | −0.0265345 | + | 0.218531i | ||||
\(589\) | −1.29233 | − | 0.678268i | −0.0532496 | − | 0.0279476i | ||||
\(590\) | −5.04931 | − | 1.91495i | −0.207877 | − | 0.0788372i | ||||
\(591\) | −15.2830 | + | 17.2509i | −0.628658 | + | 0.709608i | ||||
\(592\) | 2.91949 | − | 3.29542i | 0.119990 | − | 0.135441i | ||||
\(593\) | 3.56828 | + | 1.35327i | 0.146532 | + | 0.0555722i | 0.426781 | − | 0.904355i | \(-0.359648\pi\) |
−0.280249 | + | 0.959927i | \(0.590417\pi\) | |||||||
\(594\) | −12.3512 | − | 6.48242i | −0.506777 | − | 0.265977i | ||||
\(595\) | 2.16827 | − | 17.8573i | 0.0888902 | − | 0.732077i | ||||
\(596\) | 4.63923i | 0.190030i | ||||||||
\(597\) | 1.49086 | + | 12.2784i | 0.0610170 | + | 0.502521i | ||||
\(598\) | −2.68438 | − | 13.3233i | −0.109773 | − | 0.544830i | ||||
\(599\) | −1.78642 | + | 14.7125i | −0.0729912 | + | 0.601137i | 0.909617 | + | 0.415447i | \(0.136375\pi\) |
−0.982608 | + | 0.185690i | \(0.940548\pi\) | |||||||
\(600\) | −2.43165 | − | 0.295256i | −0.0992717 | − | 0.0120538i | ||||
\(601\) | 7.35329 | + | 6.51445i | 0.299947 | + | 0.265730i | 0.799649 | − | 0.600467i | \(-0.205019\pi\) |
−0.499702 | + | 0.866197i | \(0.666557\pi\) | |||||||
\(602\) | −11.7835 | + | 2.90437i | −0.480260 | + | 0.118373i | ||||
\(603\) | 14.4966 | − | 16.3633i | 0.590348 | − | 0.666365i | ||||
\(604\) | −3.88043 | + | 15.7435i | −0.157893 | + | 0.640595i | ||||
\(605\) | 5.98131 | − | 2.26841i | 0.243175 | − | 0.0922241i | ||||
\(606\) | 4.94075i | 0.200704i | ||||||||
\(607\) | −8.69825 | − | 22.9354i | −0.353051 | − | 0.930919i | −0.987453 | − | 0.157915i | \(-0.949523\pi\) |
0.634402 | − | 0.773003i | \(-0.281247\pi\) | |||||||
\(608\) | −7.58991 | + | 3.98349i | −0.307811 | + | 0.161552i | ||||
\(609\) | 6.70569 | − | 0.814218i | 0.271728 | − | 0.0329938i | ||||
\(610\) | −0.0501392 | − | 0.132206i | −0.00203008 | − | 0.00535287i | ||||
\(611\) | −18.4394 | − | 7.91224i | −0.745978 | − | 0.320095i | ||||
\(612\) | 5.95039 | − | 15.6899i | 0.240530 | − | 0.634227i | ||||
\(613\) | 2.17888 | − | 8.84004i | 0.0880039 | − | 0.357046i | −0.910387 | − | 0.413759i | \(-0.864216\pi\) |
0.998391 | + | 0.0567126i | \(0.0180619\pi\) | |||||||
\(614\) | 13.0784 | − | 3.22355i | 0.527803 | − | 0.130092i | ||||
\(615\) | 3.83301 | − | 5.55308i | 0.154562 | − | 0.223922i | ||||
\(616\) | 14.3746 | + | 27.3885i | 0.579170 | + | 1.10352i | ||||
\(617\) | −6.66003 | − | 27.0208i | −0.268123 | − | 1.08782i | −0.938357 | − | 0.345667i | \(-0.887653\pi\) |
0.670234 | − | 0.742150i | \(-0.266194\pi\) | |||||||
\(618\) | 0.426135 | + | 0.0517422i | 0.0171417 | + | 0.00208138i | ||||
\(619\) | 34.2174 | − | 12.9769i | 1.37531 | − | 0.521587i | 0.447383 | − | 0.894342i | \(-0.352356\pi\) |
0.927930 | + | 0.372755i | \(0.121587\pi\) | |||||||
\(620\) | −0.544975 | + | 1.43698i | −0.0218867 | + | 0.0577105i | ||||
\(621\) | −26.5319 | − | 13.9250i | −1.06469 | − | 0.558791i | ||||
\(622\) | 4.41635 | + | 17.9178i | 0.177080 | + | 0.718440i | ||||
\(623\) | −26.3314 | − | 38.1475i | −1.05494 | − | 1.52835i | ||||
\(624\) | −2.47923 | + | 5.77782i | −0.0992488 | + | 0.231298i | ||||
\(625\) | 0.568065 | − | 0.822984i | 0.0227226 | − | 0.0329194i | ||||
\(626\) | 17.7432 | + | 6.72911i | 0.709161 | + | 0.268949i | ||||
\(627\) | −2.34050 | + | 6.17140i | −0.0934707 | + | 0.246462i | ||||
\(628\) | 1.37684 | + | 11.3393i | 0.0549419 | + | 0.452487i | ||||
\(629\) | −14.8920 | + | 1.80821i | −0.593781 | + | 0.0720981i | ||||
\(630\) | 2.59229 | + | 2.92609i | 0.103279 | + | 0.116578i | ||||
\(631\) | −27.0816 | − | 18.6931i | −1.07810 | − | 0.744159i | −0.109801 | − | 0.993954i | \(-0.535021\pi\) |
−0.968299 | + | 0.249795i | \(0.919637\pi\) | |||||||
\(632\) | 7.68454 | + | 8.67405i | 0.305675 | + | 0.345035i | ||||
\(633\) | −0.832085 | + | 0.436712i | −0.0330724 | + | 0.0173577i | ||||
\(634\) | 1.48152 | + | 12.2014i | 0.0588388 | + | 0.484581i | ||||
\(635\) | −16.5710 | + | 6.28456i | −0.657601 | + | 0.249395i | ||||
\(636\) | −8.77183 | − | 7.77116i | −0.347826 | − | 0.308147i | ||||
\(637\) | 8.96579 | − | 7.28208i | 0.355237 | − | 0.288527i | ||||
\(638\) | 4.05867 | − | 3.59567i | 0.160684 | − | 0.142354i | ||||
\(639\) | −4.60104 | + | 8.76655i | −0.182014 | + | 0.346800i | ||||
\(640\) | 6.34526 | + | 9.19270i | 0.250819 | + | 0.363373i | ||||
\(641\) | 9.45644 | + | 8.37767i | 0.373507 | + | 0.330898i | 0.828905 | − | 0.559390i | \(-0.188965\pi\) |
−0.455398 | + | 0.890288i | \(0.650503\pi\) | |||||||
\(642\) | −2.11653 | + | 8.58708i | −0.0835326 | + | 0.338905i | ||||
\(643\) | 15.1235 | + | 5.73561i | 0.596415 | + | 0.226190i | 0.634294 | − | 0.773092i | \(-0.281291\pi\) |
−0.0378792 | + | 0.999282i | \(0.512060\pi\) | |||||||
\(644\) | 13.6244 | + | 25.9592i | 0.536878 | + | 1.02294i | ||||
\(645\) | −2.87209 | + | 5.47231i | −0.113088 | + | 0.215472i | ||||
\(646\) | 5.31913 | + | 1.31105i | 0.209278 | + | 0.0515825i | ||||
\(647\) | −34.0466 | + | 30.1626i | −1.33851 | + | 1.18581i | −0.372282 | + | 0.928120i | \(0.621424\pi\) |
−0.966226 | + | 0.257695i | \(0.917037\pi\) | |||||||
\(648\) | 0.237674 | + | 0.452850i | 0.00933672 | + | 0.0177896i | ||||
\(649\) | 30.7485 | + | 16.1381i | 1.20699 | + | 0.633475i | ||||
\(650\) | 1.47441 | + | 1.81531i | 0.0578312 | + | 0.0712025i | ||||
\(651\) | −2.90404 | + | 1.52416i | −0.113818 | + | 0.0597365i | ||||
\(652\) | 18.3116 | + | 12.6396i | 0.717138 | + | 0.495005i | ||||
\(653\) | 33.7703 | 1.32153 | 0.660767 | − | 0.750591i | \(-0.270231\pi\) | ||||
0.660767 | + | 0.750591i | \(0.270231\pi\) | |||||||
\(654\) | −9.16225 | −0.358272 | ||||||||
\(655\) | −3.70307 | − | 2.55604i | −0.144691 | − | 0.0998729i | ||||
\(656\) | −10.4924 | + | 1.27401i | −0.409660 | + | 0.0497417i | ||||
\(657\) | 12.9616i | 0.505680i | ||||||||
\(658\) | −11.4462 | − | 1.38982i | −0.446221 | − | 0.0541810i | ||||
\(659\) | 22.9072 | + | 33.1869i | 0.892339 | + | 1.29278i | 0.955566 | + | 0.294777i | \(0.0952454\pi\) |
−0.0632271 | + | 0.997999i | \(0.520139\pi\) | |||||||
\(660\) | 6.74811 | + | 1.66326i | 0.262670 | + | 0.0647423i | ||||
\(661\) | −18.4265 | + | 12.7189i | −0.716706 | + | 0.494707i | −0.869737 | − | 0.493515i | \(-0.835712\pi\) |
0.153031 | + | 0.988221i | \(0.451097\pi\) | |||||||
\(662\) | 21.6329 | + | 5.33204i | 0.840788 | + | 0.207236i | ||||
\(663\) | 19.3781 | − | 9.13419i | 0.752583 | − | 0.354742i | ||||
\(664\) | −34.3686 | + | 8.47110i | −1.33376 | + | 0.328742i | ||||
\(665\) | 3.17692 | − | 3.58600i | 0.123196 | − | 0.139059i | ||||
\(666\) | 1.85193 | − | 2.68298i | 0.0717607 | − | 0.103963i | ||||
\(667\) | 8.71850 | − | 7.72392i | 0.337582 | − | 0.299071i | ||||
\(668\) | −16.7288 | + | 11.5470i | −0.647255 | + | 0.446768i | ||||
\(669\) | 10.9273 | − | 7.54260i | 0.422475 | − | 0.291614i | ||||
\(670\) | 3.49251 | − | 6.65443i | 0.134928 | − | 0.257083i | ||||
\(671\) | 0.217595 | + | 0.882817i | 0.00840016 | + | 0.0340808i | ||||
\(672\) | −2.32176 | + | 19.1214i | −0.0895638 | + | 0.737624i | ||||
\(673\) | −8.83702 | − | 23.3013i | −0.340642 | − | 0.898200i | −0.990422 | − | 0.138077i | \(-0.955908\pi\) |
0.649779 | − | 0.760123i | \(-0.274861\pi\) | |||||||
\(674\) | 7.10123 | + | 8.01564i | 0.273529 | + | 0.308751i | ||||
\(675\) | 5.15600 | 0.198455 | ||||||||
\(676\) | 18.9289 | − | 7.95035i | 0.728035 | − | 0.305783i | ||||
\(677\) | 14.1893 | 0.545341 | 0.272670 | − | 0.962108i | \(-0.412093\pi\) | ||||
0.272670 | + | 0.962108i | \(0.412093\pi\) | |||||||
\(678\) | −8.69815 | − | 9.81819i | −0.334051 | − | 0.377065i | ||||
\(679\) | −2.17817 | − | 5.74336i | −0.0835904 | − | 0.220410i | ||||
\(680\) | 1.57589 | − | 12.9786i | 0.0604327 | − | 0.497708i | ||||
\(681\) | 1.90022 | + | 7.70951i | 0.0728168 | + | 0.295429i | ||||
\(682\) | −1.22347 | + | 2.33113i | −0.0468492 | + | 0.0892637i | ||||
\(683\) | −8.96301 | + | 6.18672i | −0.342960 | + | 0.236728i | −0.727077 | − | 0.686556i | \(-0.759121\pi\) |
0.384116 | + | 0.923285i | \(0.374506\pi\) | |||||||
\(684\) | 3.67800 | − | 2.53874i | 0.140632 | − | 0.0970710i | ||||
\(685\) | 5.65378 | − | 5.00881i | 0.216020 | − | 0.191377i | ||||
\(686\) | −4.46833 | + | 6.47349i | −0.170602 | + | 0.247159i | ||||
\(687\) | −17.5054 | + | 19.7595i | −0.667874 | + | 0.753874i | ||||
\(688\) | 9.39956 | − | 2.31678i | 0.358355 | − | 0.0883266i | ||||
\(689\) | 1.97561 | + | 25.2808i | 0.0752646 | + | 0.963121i | ||||
\(690\) | −3.86157 | − | 0.951791i | −0.147007 | − | 0.0362341i | ||||
\(691\) | 33.1436 | − | 22.8774i | 1.26084 | − | 0.870297i | 0.265259 | − | 0.964177i | \(-0.414543\pi\) |
0.995583 | + | 0.0938807i | \(0.0299272\pi\) | |||||||
\(692\) | −25.2220 | − | 6.21666i | −0.958796 | − | 0.236322i | ||||
\(693\) | −14.2801 | − | 20.6883i | −0.542457 | − | 0.785885i | ||||
\(694\) | −19.1520 | − | 2.32547i | −0.726999 | − | 0.0882736i | ||||
\(695\) | − | 14.2713i | − | 0.541342i | ||||||
\(696\) | 4.87368 | − | 0.591772i | 0.184736 | − | 0.0224311i | ||||
\(697\) | 29.6389 | + | 20.4582i | 1.12265 | + | 0.774911i | ||||
\(698\) | 8.91561 | 0.337461 | ||||||||
\(699\) | 5.05455 | 0.191181 | ||||||||
\(700\) | −4.15172 | − | 2.86572i | −0.156920 | − | 0.108314i | ||||
\(701\) | 4.36981 | − | 2.29345i | 0.165045 | − | 0.0866225i | −0.380178 | − | 0.924913i | \(-0.624137\pi\) |
0.545223 | + | 0.838291i | \(0.316445\pi\) | |||||||
\(702\) | −3.38446 | + | 11.5733i | −0.127738 | + | 0.436807i | ||||
\(703\) | −3.53766 | − | 1.85670i | −0.133425 | − | 0.0700269i | ||||
\(704\) | 0.778381 | + | 1.48308i | 0.0293363 | + | 0.0558957i | ||||
\(705\) | −4.39502 | + | 3.89365i | −0.165526 | + | 0.146643i | ||||
\(706\) | −19.7764 | − | 4.87444i | −0.744294 | − | 0.183452i | ||||
\(707\) | −10.7172 | + | 20.4198i | −0.403060 | + | 0.767967i | ||||
\(708\) | 6.44712 | + | 12.2840i | 0.242298 | + | 0.461660i | ||||
\(709\) | −30.9109 | − | 11.7230i | −1.16088 | − | 0.440265i | −0.302437 | − | 0.953169i | \(-0.597800\pi\) |
−0.858446 | + | 0.512904i | \(0.828570\pi\) | |||||||
\(710\) | −0.814524 | + | 3.30465i | −0.0305685 | + | 0.124021i | ||||
\(711\) | −7.04944 | − | 6.24526i | −0.264375 | − | 0.234216i | ||||
\(712\) | −19.1376 | − | 27.7256i | −0.717211 | − | 1.03906i | ||||
\(713\) | −2.62817 | + | 5.00755i | −0.0984256 | + | 0.187534i | ||||
\(714\) | 9.21455 | − | 8.16338i | 0.344846 | − | 0.305507i | ||||
\(715\) | −8.00501 | − | 12.7311i | −0.299370 | − | 0.476116i | ||||
\(716\) | −11.7332 | − | 10.3947i | −0.438492 | − | 0.388470i | ||||
\(717\) | 12.3398 | − | 4.67989i | 0.460840 | − | 0.174774i | ||||
\(718\) | −0.650300 | − | 5.35570i | −0.0242690 | − | 0.199873i | ||||
\(719\) | 9.99121 | − | 5.24379i | 0.372609 | − | 0.195560i | −0.268015 | − | 0.963415i | \(-0.586368\pi\) |
0.640625 | + | 0.767854i | \(0.278675\pi\) | |||||||
\(720\) | −2.06784 | − | 2.33411i | −0.0770638 | − | 0.0869870i | ||||
\(721\) | 1.64896 | + | 1.13819i | 0.0614104 | + | 0.0423885i | ||||
\(722\) | −7.20470 | − | 8.13242i | −0.268131 | − | 0.302657i | ||||
\(723\) | −18.3129 | + | 2.22359i | −0.681065 | + | 0.0826962i | ||||
\(724\) | −2.59945 | − | 21.4084i | −0.0966077 | − | 0.795636i | ||||
\(725\) | −0.710724 | + | 1.87402i | −0.0263956 | + | 0.0695995i | ||||
\(726\) | 4.09335 | + | 1.55240i | 0.151919 | + | 0.0576151i | ||||
\(727\) | −14.0320 | + | 20.3289i | −0.520419 | + | 0.753957i | −0.991776 | − | 0.127986i | \(-0.959149\pi\) |
0.471357 | + | 0.881942i | \(0.343764\pi\) | |||||||
\(728\) | 20.7550 | − | 16.8574i | 0.769233 | − | 0.624777i | ||||
\(729\) | 9.03480 | + | 13.0892i | 0.334622 | + | 0.484784i | ||||
\(730\) | 1.06635 | + | 4.32636i | 0.0394675 | + | 0.160126i | ||||
\(731\) | −29.2078 | − | 15.3294i | −1.08029 | − | 0.566979i | ||||
\(732\) | −0.128806 | + | 0.339634i | −0.00476081 | + | 0.0125532i | ||||
\(733\) | −10.0941 | + | 3.82818i | −0.372833 | + | 0.141397i | −0.533902 | − | 0.845546i | \(-0.679275\pi\) |
0.161069 | + | 0.986943i | \(0.448506\pi\) | |||||||
\(734\) | 6.49082 | + | 0.788128i | 0.239580 | + | 0.0290903i | ||||
\(735\) | −0.808892 | − | 3.28180i | −0.0298364 | − | 0.121051i | ||||
\(736\) | 15.4353 | + | 29.4095i | 0.568952 | + | 1.08405i | ||||
\(737\) | −27.4528 | + | 39.7722i | −1.01124 | + | 1.46503i | ||||
\(738\) | −7.59906 | + | 1.87300i | −0.279725 | + | 0.0689461i | ||||
\(739\) | 11.9342 | − | 48.4189i | 0.439007 | − | 1.78112i | −0.167319 | − | 0.985903i | \(-0.553511\pi\) |
0.606325 | − | 0.795217i | \(-0.292643\pi\) | |||||||
\(740\) | −1.49182 | + | 3.93362i | −0.0548406 | + | 0.144603i | ||||
\(741\) | 5.62931 | + | 0.929682i | 0.206798 | + | 0.0341527i | ||||
\(742\) | 5.16718 | + | 13.6247i | 0.189693 | + | 0.500179i | ||||
\(743\) | −4.20606 | + | 0.510709i | −0.154306 | + | 0.0187361i | −0.197325 | − | 0.980338i | \(-0.563225\pi\) |
0.0430193 | + | 0.999074i | \(0.486302\pi\) | |||||||
\(744\) | −2.11065 | + | 1.10776i | −0.0773803 | + | 0.0406123i | ||||
\(745\) | −1.04167 | − | 2.74665i | −0.0381638 | − | 0.100630i | ||||
\(746\) | 12.9581i | 0.474430i | ||||||||
\(747\) | 26.8980 | − | 10.2011i | 0.984147 | − | 0.373238i | ||||
\(748\) | −8.87744 | + | 36.0172i | −0.324591 | + | 1.31692i | ||||
\(749\) | −27.3741 | + | 30.8989i | −1.00023 | + | 1.12902i | ||||
\(750\) | 0.664471 | − | 0.163777i | 0.0242630 | − | 0.00598030i | ||||
\(751\) | −19.2411 | − | 17.0461i | −0.702118 | − | 0.622022i | 0.234606 | − | 0.972090i | \(-0.424620\pi\) |
−0.936724 | + | 0.350068i | \(0.886158\pi\) | |||||||
\(752\) | 9.13053 | + | 1.10865i | 0.332956 | + | 0.0404282i | ||||
\(753\) | 1.02913 | − | 8.47562i | 0.0375035 | − | 0.308869i | ||||
\(754\) | −3.73997 | − | 2.82545i | −0.136202 | − | 0.102897i | ||||
\(755\) | −1.23756 | − | 10.1922i | −0.0450395 | − | 0.370934i | ||||
\(756\) | − | 26.0106i | − | 0.945995i | ||||||
\(757\) | −1.50225 | + | 12.3721i | −0.0546002 | + | 0.449673i | 0.939612 | + | 0.342241i | \(0.111186\pi\) |
−0.994212 | + | 0.107432i | \(0.965737\pi\) | |||||||
\(758\) | −10.0554 | − | 5.27750i | −0.365230 | − | 0.191688i | ||||
\(759\) | 23.9130 | + | 9.06901i | 0.867988 | + | 0.329184i | ||||
\(760\) | 2.30898 | − | 2.60630i | 0.0837554 | − | 0.0945404i | ||||
\(761\) | 4.77821 | − | 5.39348i | 0.173210 | − | 0.195514i | −0.655495 | − | 0.755200i | \(-0.727540\pi\) |
0.828705 | + | 0.559686i | \(0.189078\pi\) | |||||||
\(762\) | −11.3405 | − | 4.30088i | −0.410822 | − | 0.155804i | ||||
\(763\) | −37.8671 | − | 19.8742i | −1.37088 | − | 0.719494i | ||||
\(764\) | 0.402874 | − | 3.31796i | 0.0145755 | − | 0.120040i | ||||
\(765\) | 10.6253i | 0.384157i | ||||||||
\(766\) | 0.408951 | + | 3.36801i | 0.0147760 | + | 0.121691i | ||||
\(767\) | 8.42567 | − | 28.8120i | 0.304233 | − | 1.04034i | ||||
\(768\) | −1.02355 | + | 8.42971i | −0.0369343 | + | 0.304181i | ||||
\(769\) | −31.3043 | − | 3.80103i | −1.12886 | − | 0.137069i | −0.465274 | − | 0.885167i | \(-0.654044\pi\) |
−0.663588 | + | 0.748098i | \(0.730967\pi\) | |||||||
\(770\) | −6.46849 | − | 5.73059i | −0.233108 | − | 0.206516i | ||||
\(771\) | −2.49961 | + | 0.616099i | −0.0900213 | + | 0.0221883i | ||||
\(772\) | −14.8163 | + | 16.7242i | −0.533251 | + | 0.601916i | ||||
\(773\) | −4.01422 | + | 16.2863i | −0.144382 | + | 0.585779i | 0.853522 | + | 0.521057i | \(0.174462\pi\) |
−0.997903 | + | 0.0647218i | \(0.979384\pi\) | |||||||
\(774\) | 6.70266 | − | 2.54198i | 0.240922 | − | 0.0913697i | ||||
\(775\) | − | 0.973129i | − | 0.0349558i | ||||||
\(776\) | −1.58309 | − | 4.17426i | −0.0568296 | − | 0.149847i | ||||
\(777\) | −7.94958 | + | 4.17226i | −0.285190 | + | 0.149679i | ||||
\(778\) | −8.60789 | + | 1.04519i | −0.308608 | + | 0.0374718i | ||||
\(779\) | 3.40121 | + | 8.96826i | 0.121861 | + | 0.321321i | ||||
\(780\) | 0.257314 | − | 6.00239i | 0.00921332 | − | 0.214920i | ||||
\(781\) | 7.76108 | − | 20.4643i | 0.277713 | − | 0.732270i | ||||
\(782\) | 5.08007 | − | 20.6106i | 0.181663 | − | 0.737035i | ||||
\(783\) | −10.0337 | + | 2.47309i | −0.358576 | + | 0.0883811i | ||||
\(784\) | −3.00765 | + | 4.35734i | −0.107416 | + | 0.155619i | ||||
\(785\) | −3.36122 | − | 6.40427i | −0.119967 | − | 0.228578i | ||||
\(786\) | −0.736927 | − | 2.98983i | −0.0262853 | − | 0.106644i | ||||
\(787\) | −4.94436 | − | 0.600354i | −0.176247 | − | 0.0214003i | 0.0319371 | − | 0.999490i | \(-0.489832\pi\) |
−0.208185 | + | 0.978090i | \(0.566755\pi\) | |||||||
\(788\) | −32.2556 | + | 12.2329i | −1.14906 | + | 0.435780i | ||||
\(789\) | 11.4470 | − | 30.1831i | 0.407522 | − | 1.07455i | ||||
\(790\) | −2.86678 | − | 1.50460i | −0.101995 | − | 0.0535313i | ||||
\(791\) | −14.6520 | − | 59.4455i | −0.520965 | − | 2.11364i | ||||
\(792\) | −10.3788 | − | 15.0363i | −0.368794 | − | 0.534290i | ||||
\(793\) | 0.710957 | − | 0.335121i | 0.0252468 | − | 0.0119005i | ||||
\(794\) | −13.8556 | + | 20.0734i | −0.491719 | + | 0.712377i | ||||
\(795\) | 6.93825 | + | 2.63133i | 0.246074 | + | 0.0933237i | ||||
\(796\) | −6.56500 | + | 17.3105i | −0.232690 | + | 0.613554i | ||||
\(797\) | 4.88801 | + | 40.2564i | 0.173142 | + | 1.42595i | 0.777321 | + | 0.629105i | \(0.216578\pi\) |
−0.604179 | + | 0.796849i | \(0.706499\pi\) | |||||||
\(798\) | 3.25474 | − | 0.395197i | 0.115217 | − | 0.0139898i | ||||
\(799\) | −20.7819 | − | 23.4579i | −0.735210 | − | 0.829881i | ||||
\(800\) | −4.70353 | − | 3.24661i | −0.166295 | − | 0.114785i | ||||
\(801\) | 18.1558 | + | 20.4937i | 0.641504 | + | 0.724108i | ||||
\(802\) | −6.86518 | + | 3.60312i | −0.242418 | + | 0.127231i | ||||
\(803\) | −3.45377 | − | 28.4444i | −0.121881 | − | 1.00378i | ||||
\(804\) | −18.0519 | + | 6.84616i | −0.636640 | + | 0.241446i | ||||
\(805\) | −13.8951 | − | 12.3100i | −0.489737 | − | 0.433870i | ||||
\(806\) | 2.18432 | + | 0.638774i | 0.0769393 | + | 0.0224999i | ||||
\(807\) | 6.74359 | − | 5.97430i | 0.237385 | − | 0.210305i | ||||
\(808\) | −7.78921 | + | 14.8411i | −0.274024 | + | 0.522108i | ||||
\(809\) | −26.3296 | − | 38.1450i | −0.925700 | − | 1.34111i | −0.939987 | − | 0.341210i | \(-0.889163\pi\) |
0.0142871 | − | 0.999898i | \(-0.495452\pi\) | |||||||
\(810\) | −0.106952 | − | 0.0947512i | −0.00375791 | − | 0.00332922i | ||||
\(811\) | −1.35615 | + | 5.50210i | −0.0476207 | + | 0.193205i | −0.989935 | − | 0.141526i | \(-0.954799\pi\) |
0.942314 | + | 0.334731i | \(0.108645\pi\) | |||||||
\(812\) | 9.45392 | + | 3.58540i | 0.331767 | + | 0.125823i | ||||
\(813\) | −12.0688 | − | 22.9953i | −0.423273 | − | 0.806479i | ||||
\(814\) | −3.34916 | + | 6.38129i | −0.117388 | + | 0.223664i | ||||
\(815\) | −13.6794 | − | 3.37167i | −0.479168 | − | 0.118104i | ||||
\(816\) | −7.35033 | + | 6.51183i | −0.257313 | + | 0.227960i | ||||
\(817\) | −4.08268 | − | 7.77889i | −0.142835 | − | 0.272149i | ||||
\(818\) | −8.26027 | − | 4.33532i | −0.288814 | − | 0.151581i | ||||
\(819\) | −15.0934 | + | 15.6334i | −0.527405 | + | 0.546275i | ||||
\(820\) | 8.94294 | − | 4.69362i | 0.312301 | − | 0.163908i | ||||
\(821\) | 26.9436 | + | 18.5979i | 0.940340 | + | 0.649070i | 0.936404 | − | 0.350923i | \(-0.114132\pi\) |
0.00393513 | + | 0.999992i | \(0.498747\pi\) | |||||||
\(822\) | 5.16920 | 0.180297 | ||||||||
\(823\) | 15.1785 | 0.529091 | 0.264545 | − | 0.964373i | \(-0.414778\pi\) | ||||
0.264545 | + | 0.964373i | \(0.414778\pi\) | |||||||
\(824\) | 1.19846 | + | 0.827237i | 0.0417503 | + | 0.0288182i | ||||
\(825\) | −4.36867 | + | 0.530453i | −0.152098 | + | 0.0184680i | ||||
\(826\) | − | 17.2500i | − | 0.600203i | ||||||
\(827\) | 33.6368 | + | 4.08424i | 1.16966 | + | 0.142023i | 0.682231 | − | 0.731137i | \(-0.261010\pi\) |
0.487434 | + | 0.873160i | \(0.337933\pi\) | |||||||
\(828\) | −9.83714 | − | 14.2516i | −0.341864 | − | 0.495276i | ||||
\(829\) | 52.0076 | + | 12.8187i | 1.80630 | + | 0.445213i | 0.991004 | − | 0.133832i | \(-0.0427283\pi\) |
0.815296 | + | 0.579045i | \(0.196574\pi\) | |||||||
\(830\) | 8.13886 | − | 5.61785i | 0.282504 | − | 0.194998i | ||||
\(831\) | 11.1696 | + | 2.75306i | 0.387470 | + | 0.0955027i | ||||
\(832\) | 1.12388 | − | 0.912824i | 0.0389635 | − | 0.0316465i | ||||
\(833\) | 17.5162 | − | 4.31736i | 0.606901 | − | 0.149588i | ||||
\(834\) | 6.47650 | − | 7.31046i | 0.224263 | − | 0.253140i | ||||
\(835\) | 7.31154 | − | 10.5926i | 0.253026 | − | 0.366572i | ||||
\(836\) | −7.39492 | + | 6.55133i | −0.255759 | + | 0.226582i | ||||
\(837\) | 4.12928 | − | 2.85024i | 0.142729 | − | 0.0985187i | ||||
\(838\) | 13.2396 | − | 9.13864i | 0.457354 | − | 0.315689i | ||||
\(839\) | −6.97969 | + | 13.2987i | −0.240966 | + | 0.459122i | −0.975664 | − | 0.219273i | \(-0.929632\pi\) |
0.734698 | + | 0.678394i | \(0.237324\pi\) | |||||||
\(840\) | −1.87252 | − | 7.59710i | −0.0646080 | − | 0.262125i | ||||
\(841\) | −3.01136 | + | 24.8008i | −0.103840 | + | 0.855198i | ||||
\(842\) | −1.20485 | − | 3.17694i | −0.0415220 | − | 0.109485i | ||||
\(843\) | −22.2066 | − | 25.0660i | −0.764835 | − | 0.863320i | ||||
\(844\) | −1.40660 | −0.0484173 | ||||||||
\(845\) | −9.42172 | + | 8.95719i | −0.324117 | + | 0.308137i | ||||
\(846\) | 6.81063 | 0.234154 | ||||||||
\(847\) | 13.5502 | + | 15.2950i | 0.465591 | + | 0.525544i | ||||
\(848\) | −4.12179 | − | 10.8683i | −0.141543 | − | 0.373218i | ||||
\(849\) | 1.88133 | − | 15.4941i | 0.0645670 | − | 0.531757i | ||||
\(850\) | 0.874141 | + | 3.54653i | 0.0299828 | + | 0.121645i | ||||
\(851\) | −7.19439 | + | 13.7078i | −0.246620 | + | 0.469896i | ||||
\(852\) | 7.19586 | − | 4.96695i | 0.246526 | − | 0.170165i | ||||
\(853\) | 8.91757 | − | 6.15535i | 0.305332 | − | 0.210755i | −0.405539 | − | 0.914078i | \(-0.632916\pi\) |
0.710871 | + | 0.703322i | \(0.248301\pi\) | |||||||
\(854\) | 0.338070 | − | 0.299504i | 0.0115685 | − | 0.0102488i | ||||
\(855\) | −1.60752 | + | 2.32889i | −0.0549760 | + | 0.0796465i | ||||
\(856\) | −19.8954 | + | 22.4573i | −0.680011 | + | 0.767574i | ||||
\(857\) | −19.7942 | + | 4.87884i | −0.676157 | + | 0.166658i | −0.562418 | − | 0.826853i | \(-0.690129\pi\) |
−0.113739 | + | 0.993511i | \(0.536283\pi\) | |||||||
\(858\) | 1.67698 | − | 10.1543i | 0.0572511 | − | 0.346661i | ||||
\(859\) | −45.1455 | − | 11.1274i | −1.54034 | − | 0.379661i | −0.624445 | − | 0.781069i | \(-0.714675\pi\) |
−0.915899 | + | 0.401408i | \(0.868521\pi\) | |||||||
\(860\) | −7.61318 | + | 5.25500i | −0.259607 | + | 0.179194i | ||||
\(861\) | 20.9272 | + | 5.15809i | 0.713197 | + | 0.175787i | ||||
\(862\) | 4.36958 | + | 6.33043i | 0.148829 | + | 0.215615i | ||||
\(863\) | 32.7857 | + | 3.98091i | 1.11604 | + | 0.135512i | 0.657711 | − | 0.753271i | \(-0.271525\pi\) |
0.458329 | + | 0.888783i | \(0.348448\pi\) | |||||||
\(864\) | − | 29.4677i | − | 1.00251i | ||||||
\(865\) | 16.3285 | − | 1.98264i | 0.555186 | − | 0.0674118i | ||||
\(866\) | −1.70939 | − | 1.17990i | −0.0580873 | − | 0.0400948i | ||||
\(867\) | 15.5235 | 0.527204 | ||||||||
\(868\) | −4.90916 | −0.166628 | ||||||||
\(869\) | 17.1342 | + | 11.8269i | 0.581238 | + | 0.401199i | ||||
\(870\) | −1.21452 | + | 0.637431i | −0.0411762 | + | 0.0216109i | ||||
\(871\) | 38.3906 | + | 16.4732i | 1.30081 | + | 0.558173i | ||||
\(872\) | −27.5217 | − | 14.4445i | −0.932004 | − | 0.489153i | ||||
\(873\) | 1.68612 | + | 3.21262i | 0.0570664 | + | 0.108731i | ||||
\(874\) | 4.23170 | − | 3.74896i | 0.143140 | − | 0.126811i | ||||
\(875\) | 3.10148 | + | 0.764445i | 0.104849 | + | 0.0258430i | ||||
\(876\) | 5.31965 | − | 10.1357i | 0.179734 | − | 0.342455i | ||||
\(877\) | −21.7308 | − | 41.4045i | −0.733796 | − | 1.39813i | −0.910349 | − | 0.413840i | \(-0.864187\pi\) |
0.176554 | − | 0.984291i | \(-0.443505\pi\) | |||||||
\(878\) | −13.6382 | − | 5.17227i | −0.460266 | − | 0.174556i | ||||
\(879\) | 2.53686 | − | 10.2924i | 0.0855660 | − | 0.347155i | ||||
\(880\) | 5.15984 | + | 4.57122i | 0.173938 | + | 0.154096i | ||||
\(881\) | −12.1815 | − | 17.6479i | −0.410404 | − | 0.594573i | 0.562211 | − | 0.826994i | \(-0.309951\pi\) |
−0.972615 | + | 0.232421i | \(0.925335\pi\) | |||||||
\(882\) | −1.82196 | + | 3.47145i | −0.0613484 | + | 0.116890i | ||||
\(883\) | 25.1569 | − | 22.2871i | 0.846597 | − | 0.750020i | −0.123601 | − | 0.992332i | \(-0.539444\pi\) |
0.970198 | + | 0.242312i | \(0.0779059\pi\) | |||||||
\(884\) | 32.0370 | + | 1.37338i | 1.07752 | + | 0.0461918i | ||||
\(885\) | −6.57519 | − | 5.82511i | −0.221023 | − | 0.195809i | ||||
\(886\) | −23.1261 | + | 8.77056i | −0.776935 | + | 0.294653i | ||||
\(887\) | 1.76633 | + | 14.5471i | 0.0593076 | + | 0.488442i | 0.991853 | + | 0.127389i | \(0.0406597\pi\) |
−0.932545 | + | 0.361053i | \(0.882417\pi\) | |||||||
\(888\) | −5.77774 | + | 3.03239i | −0.193888 | + | 0.101760i | ||||
\(889\) | −37.5404 | − | 42.3744i | −1.25907 | − | 1.42119i | ||||
\(890\) | 7.74611 | + | 5.34676i | 0.259650 | + | 0.179224i | ||||
\(891\) | 0.609298 | + | 0.687755i | 0.0204122 | + | 0.0230407i | ||||
\(892\) | 19.7295 | − | 2.39560i | 0.660593 | − | 0.0802105i | ||||
\(893\) | −1.00607 | − | 8.28575i | −0.0336669 | − | 0.277272i | ||||
\(894\) | 0.712873 | − | 1.87969i | 0.0238420 | − | 0.0628663i | ||||
\(895\) | 9.28064 | + | 3.51968i | 0.310218 | + | 0.117650i | ||||
\(896\) | −20.2687 | + | 29.3642i | −0.677128 | + | 0.980989i | ||||
\(897\) | 3.60235 | − | 21.8125i | 0.120279 | − | 0.728300i | ||||
\(898\) | −14.4013 | − | 20.8639i | −0.480578 | − | 0.696238i | ||||
\(899\) | 0.466764 | + | 1.89374i | 0.0155675 | + | 0.0631597i | ||||
\(900\) | 2.63846 | + | 1.38477i | 0.0879486 | + | 0.0461590i | ||||
\(901\) | −14.0444 | + | 37.0321i | −0.467887 | + | 1.23372i | ||||
\(902\) | 16.1771 | − | 6.13517i | 0.538639 | − | 0.204279i | ||||
\(903\) | −19.5975 | − | 2.37957i | −0.652164 | − | 0.0791871i | ||||
\(904\) | −10.6490 | − | 43.2049i | −0.354182 | − | 1.43697i | ||||
\(905\) | 6.34592 | + | 12.0911i | 0.210946 | + | 0.401923i | ||||
\(906\) | 3.99143 | − | 5.78258i | 0.132606 | − | 0.192113i | ||||
\(907\) | 23.5490 | − | 5.80430i | 0.781931 | − | 0.192729i | 0.171909 | − | 0.985113i | \(-0.445007\pi\) |
0.610022 | + | 0.792384i | \(0.291160\pi\) | |||||||
\(908\) | −2.84430 | + | 11.5398i | −0.0943916 | + | 0.382962i | ||||
\(909\) | 4.83033 | − | 12.7365i | 0.160212 | − | 0.422444i | ||||
\(910\) | −3.75175 | + | 6.45989i | −0.124369 | + | 0.214143i | ||||
\(911\) | 4.70346 | + | 12.4020i | 0.155833 | + | 0.410897i | 0.990082 | − | 0.140491i | \(-0.0448680\pi\) |
−0.834249 | + | 0.551387i | \(0.814099\pi\) | |||||||
\(912\) | −2.59627 | + | 0.315244i | −0.0859711 | + | 0.0104388i | ||||
\(913\) | −56.3098 | + | 29.5537i | −1.86358 | + | 0.978083i | ||||
\(914\) | −2.72559 | − | 7.18679i | −0.0901545 | − | 0.237718i | ||||
\(915\) | − | 0.230001i | − | 0.00760361i | ||||||
\(916\) | −36.9462 | + | 14.0118i | −1.22074 | + | 0.462964i | ||||
\(917\) | 3.43967 | − | 13.9553i | 0.113588 | − | 0.460844i | ||||
\(918\) | −12.4887 | + | 14.0968i | −0.412189 | + | 0.465265i | ||||
\(919\) | 26.0706 | − | 6.42583i | 0.859990 | − | 0.211968i | 0.215427 | − | 0.976520i | \(-0.430886\pi\) |
0.644563 | + | 0.764551i | \(0.277039\pi\) | |||||||
\(920\) | −10.0989 | − | 8.94687i | −0.332952 | − | 0.294969i | ||||
\(921\) | 21.7512 | + | 2.64107i | 0.716725 | + | 0.0870262i | ||||
\(922\) | 2.77886 | − | 22.8860i | 0.0915168 | − | 0.753709i | ||||
\(923\) | −18.6667 | − | 3.08282i | −0.614423 | − | 0.101472i | ||||
\(924\) | 2.67598 | + | 22.0387i | 0.0880334 | + | 0.725020i | ||||
\(925\) | − | 2.66386i | − | 0.0875872i | ||||||
\(926\) | 0.673377 | − | 5.54576i | 0.0221285 | − | 0.182245i | ||||
\(927\) | −1.04793 | − | 0.549995i | −0.0344185 | − | 0.0180642i | ||||
\(928\) | 10.7105 | + | 4.06194i | 0.351588 | + | 0.133340i | ||||
\(929\) | −2.12511 | + | 2.39875i | −0.0697225 | + | 0.0787005i | −0.782337 | − | 0.622855i | \(-0.785972\pi\) |
0.712614 | + | 0.701556i | \(0.247511\pi\) | |||||||
\(930\) | 0.441618 | − | 0.498484i | 0.0144812 | − | 0.0163459i | ||||
\(931\) | 4.49247 | + | 1.70377i | 0.147235 | + | 0.0558388i | ||||
\(932\) | 6.69916 | + | 3.51599i | 0.219438 | + | 0.115170i | ||||
\(933\) | −3.61834 | + | 29.7997i | −0.118459 | + | 0.975599i | ||||
\(934\) | 15.6814i | 0.513112i | ||||||||
\(935\) | −2.83123 | − | 23.3172i | −0.0925910 | − | 0.762556i | ||||
\(936\) | −10.9698 | + | 11.3623i | −0.358560 | + | 0.371389i | ||||
\(937\) | −4.28046 | + | 35.2528i | −0.139837 | + | 1.15166i | 0.738718 | + | 0.674015i | \(0.235432\pi\) |
−0.878554 | + | 0.477642i | \(0.841491\pi\) | |||||||
\(938\) | 23.8309 | + | 2.89360i | 0.778107 | + | 0.0944793i | ||||
\(939\) | 23.1051 | + | 20.4694i | 0.754007 | + | 0.667992i | ||||
\(940\) | −8.53351 | + | 2.10332i | −0.278332 | + | 0.0686027i | ||||
\(941\) | −14.2525 | + | 16.0877i | −0.464618 | + | 0.524446i | −0.933385 | − | 0.358876i | \(-0.883160\pi\) |
0.468767 | + | 0.883322i | \(0.344698\pi\) | |||||||
\(942\) | 1.18456 | − | 4.80594i | 0.0385950 | − | 0.156586i | ||||
\(943\) | 34.7504 | − | 13.1791i | 1.13163 | − | 0.429170i | ||||
\(944\) | 13.7601i | 0.447853i | ||||||||
\(945\) | 5.84027 | + | 15.3995i | 0.189984 | + | 0.500947i | ||||
\(946\) | −14.0317 | + | 7.36441i | −0.456210 | + | 0.239438i | ||||
\(947\) | −22.8739 | + | 2.77740i | −0.743303 | + | 0.0902533i | −0.483422 | − | 0.875387i | \(-0.660606\pi\) |
−0.259881 | + | 0.965641i | \(0.583683\pi\) | |||||||
\(948\) | 2.94938 | + | 7.77688i | 0.0957915 | + | 0.252581i | ||||
\(949\) | −23.5144 | + | 7.78325i | −0.763308 | + | 0.252655i | ||||
\(950\) | −0.344964 | + | 0.909596i | −0.0111921 | + | 0.0295112i | ||||
\(951\) | −4.78474 | + | 19.4124i | −0.155156 | + | 0.629491i | ||||
\(952\) | 40.5486 | − | 9.99433i | 1.31419 | − | 0.323918i | ||||
\(953\) | −5.91685 | + | 8.57203i | −0.191666 | + | 0.277675i | −0.907021 | − | 0.421085i | \(-0.861649\pi\) |
0.715356 | + | 0.698761i | \(0.246265\pi\) | |||||||
\(954\) | −3.99990 | − | 7.62117i | −0.129502 | − | 0.246745i | ||||
\(955\) | 0.506477 | + | 2.05486i | 0.0163892 | + | 0.0664936i | ||||
\(956\) | 19.6103 | + | 2.38112i | 0.634242 | + | 0.0770109i | ||||
\(957\) | 8.24713 | − | 3.12772i | 0.266592 | − | 0.101105i | ||||
\(958\) | −2.03017 | + | 5.35313i | −0.0655919 | + | 0.172952i | ||||
\(959\) | 21.3640 | + | 11.2127i | 0.689880 | + | 0.362077i | ||||
\(960\) | −0.101396 | − | 0.411381i | −0.00327255 | − | 0.0132773i | ||||
\(961\) | 17.0721 | + | 24.7332i | 0.550712 | + | 0.797844i | ||||
\(962\) | 5.97939 | + | 1.74859i | 0.192783 | + | 0.0563769i | ||||
\(963\) | 13.8513 | − | 20.0670i | 0.446351 | − | 0.646651i | ||||
\(964\) | −25.8182 | − | 9.79155i | −0.831548 | − | 0.315365i | ||||
\(965\) | 5.01684 | − | 13.2283i | 0.161498 | − | 0.425834i | ||||
\(966\) | −1.53132 | − | 12.6115i | −0.0492693 | − | 0.405769i | ||||
\(967\) | −23.2440 | + | 2.82234i | −0.747477 | + | 0.0907602i | −0.485407 | − | 0.874288i | \(-0.661328\pi\) |
−0.262071 | + | 0.965049i | \(0.584405\pi\) | |||||||
\(968\) | 9.84828 | + | 11.1164i | 0.316536 | + | 0.357295i | ||||
\(969\) | 7.33392 | + | 5.06224i | 0.235600 | + | 0.162623i | ||||
\(970\) | 0.827099 | + | 0.933602i | 0.0265566 | + | 0.0299762i | ||||
\(971\) | 3.00633 | − | 1.57784i | 0.0964778 | − | 0.0506354i | −0.415794 | − | 0.909459i | \(-0.636496\pi\) |
0.512272 | + | 0.858823i | \(0.328804\pi\) | |||||||
\(972\) | 2.98877 | + | 24.6147i | 0.0958648 | + | 0.789517i | ||||
\(973\) | 42.6244 | − | 16.1653i | 1.36648 | − | 0.518236i | ||||
\(974\) | 5.18035 | + | 4.58939i | 0.165989 | + | 0.147053i | ||||
\(975\) | 1.19540 | + | 3.61149i | 0.0382835 | + | 0.115660i | ||||
\(976\) | −0.269674 | + | 0.238910i | −0.00863206 | + | 0.00764734i | ||||
\(977\) | −18.3060 | + | 34.8791i | −0.585660 | + | 1.11588i | 0.394727 | + | 0.918798i | \(0.370839\pi\) |
−0.980387 | + | 0.197083i | \(0.936853\pi\) | |||||||
\(978\) | −5.47715 | − | 7.93502i | −0.175140 | − | 0.253734i | ||||
\(979\) | −45.3039 | − | 40.1357i | −1.44792 | − | 1.28274i | ||||
\(980\) | 1.21077 | − | 4.91229i | 0.0386766 | − | 0.156917i | ||||
\(981\) | 23.6189 | + | 8.95749i | 0.754095 | + | 0.285991i | ||||
\(982\) | −2.98615 | − | 5.68964i | −0.0952920 | − | 0.181564i | ||||
\(983\) | −21.3026 | + | 40.5887i | −0.679447 | + | 1.29458i | 0.264469 | + | 0.964394i | \(0.414803\pi\) |
−0.943916 | + | 0.330184i | \(0.892889\pi\) | |||||||
\(984\) | 15.2098 | + | 3.74889i | 0.484872 | + | 0.119510i | ||||
\(985\) | 16.3502 | − | 14.4850i | 0.520960 | − | 0.461530i | ||||
\(986\) | −3.40221 | − | 6.48237i | −0.108348 | − | 0.206441i | ||||
\(987\) | −16.6075 | − | 8.71631i | −0.528624 | − | 0.277443i | ||||
\(988\) | 6.81424 | + | 5.14798i | 0.216790 | + | 0.163779i | ||||
\(989\) | −30.1418 | + | 15.8196i | −0.958452 | + | 0.503034i | ||||
\(990\) | 4.20091 | + | 2.89968i | 0.133514 | + | 0.0921577i | ||||
\(991\) | 33.2836 | 1.05729 | 0.528644 | − | 0.848844i | \(-0.322701\pi\) | ||||
0.528644 | + | 0.848844i | \(0.322701\pi\) | |||||||
\(992\) | −5.56164 | −0.176582 | ||||||||
\(993\) | 29.8271 | + | 20.5882i | 0.946535 | + | 0.653346i | ||||
\(994\) | −10.7927 | + | 1.31047i | −0.342324 | + | 0.0415656i | ||||
\(995\) | − | 11.7227i | − | 0.371636i | ||||||
\(996\) | −25.2205 | − | 3.06232i | −0.799141 | − | 0.0970332i | ||||
\(997\) | −14.5460 | − | 21.0736i | −0.460677 | − | 0.667406i | 0.521954 | − | 0.852973i | \(-0.325203\pi\) |
−0.982632 | + | 0.185567i | \(0.940588\pi\) | |||||||
\(998\) | −20.2982 | − | 5.00306i | −0.642528 | − | 0.158369i | ||||
\(999\) | 11.3036 | − | 7.80230i | 0.357629 | − | 0.246854i |
(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 | 845.2.w.a.116.25 | yes | 744 | |
169.51 | even | 26 | inner | 845.2.w.a.51.25 | ✓ | 744 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.w.a.51.25 | ✓ | 744 | 169.51 | even | 26 | inner | |
845.2.w.a.116.25 | yes | 744 | 1.1 | even | 1 | trivial |