Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 109.8 | ||
Character | \(\chi\) | \(=\) | 384.109 |
Dual form | 384.2.v.a.229.8 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08380 | − | 0.908505i | −0.766361 | − | 0.642410i | ||||
\(3\) | 0.881921 | + | 0.471397i | 0.509177 | + | 0.272161i | ||||
\(4\) | 0.349236 | + | 1.96927i | 0.174618 | + | 0.984636i | ||||
\(5\) | 1.51317 | − | 1.84381i | 0.676711 | − | 0.824575i | −0.315529 | − | 0.948916i | \(-0.602182\pi\) |
0.992239 | + | 0.124341i | \(0.0396818\pi\) | |||||||
\(6\) | −0.527558 | − | 1.31213i | −0.215375 | − | 0.535674i | ||||
\(7\) | 1.69750 | + | 1.13424i | 0.641596 | + | 0.428701i | 0.833353 | − | 0.552742i | \(-0.186418\pi\) |
−0.191756 | + | 0.981443i | \(0.561418\pi\) | |||||||
\(8\) | 1.41059 | − | 2.45158i | 0.498720 | − | 0.866763i | ||||
\(9\) | 0.555570 | + | 0.831470i | 0.185190 | + | 0.277157i | ||||
\(10\) | −3.31508 | + | 0.623587i | −1.04832 | + | 0.197196i | ||||
\(11\) | 1.92877 | + | 0.585085i | 0.581545 | + | 0.176410i | 0.567332 | − | 0.823489i | \(-0.307976\pi\) |
0.0142132 | + | 0.999899i | \(0.495476\pi\) | |||||||
\(12\) | −0.620310 | + | 1.90137i | −0.179068 | + | 0.548879i | ||||
\(13\) | −1.76228 | + | 1.44627i | −0.488769 | + | 0.401123i | −0.846240 | − | 0.532802i | \(-0.821139\pi\) |
0.357471 | + | 0.933924i | \(0.383639\pi\) | |||||||
\(14\) | −0.809292 | − | 2.77147i | −0.216292 | − | 0.740708i | ||||
\(15\) | 2.20366 | − | 0.912787i | 0.568983 | − | 0.235681i | ||||
\(16\) | −3.75607 | + | 1.37548i | −0.939017 | + | 0.343870i | ||||
\(17\) | −1.20049 | − | 0.497260i | −0.291162 | − | 0.120603i | 0.232321 | − | 0.972639i | \(-0.425368\pi\) |
−0.523484 | + | 0.852036i | \(0.675368\pi\) | |||||||
\(18\) | 0.153269 | − | 1.40588i | 0.0361258 | − | 0.331370i | ||||
\(19\) | 0.0663842 | − | 0.674010i | 0.0152296 | − | 0.154629i | −0.984562 | − | 0.175035i | \(-0.943996\pi\) |
0.999792 | + | 0.0204066i | \(0.00649608\pi\) | |||||||
\(20\) | 4.15941 | + | 2.33592i | 0.930072 | + | 0.522329i | ||||
\(21\) | 0.962390 | + | 1.80051i | 0.210011 | + | 0.392902i | ||||
\(22\) | −1.55884 | − | 2.38641i | −0.332346 | − | 0.508784i | ||||
\(23\) | 4.83916 | + | 0.962569i | 1.00903 | + | 0.200709i | 0.671817 | − | 0.740717i | \(-0.265514\pi\) |
0.337218 | + | 0.941427i | \(0.390514\pi\) | |||||||
\(24\) | 2.39970 | − | 1.49715i | 0.489836 | − | 0.305604i | ||||
\(25\) | −0.134477 | − | 0.676061i | −0.0268954 | − | 0.135212i | ||||
\(26\) | 3.22390 | + | 0.0335811i | 0.632259 | + | 0.00658579i | ||||
\(27\) | 0.0980171 | + | 0.995185i | 0.0188634 | + | 0.191523i | ||||
\(28\) | −1.64079 | + | 3.73897i | −0.310080 | + | 0.706598i | ||||
\(29\) | −1.28397 | − | 4.23268i | −0.238427 | − | 0.785989i | −0.991733 | − | 0.128318i | \(-0.959042\pi\) |
0.753306 | − | 0.657670i | \(-0.228458\pi\) | |||||||
\(30\) | −3.21760 | − | 1.01276i | −0.587450 | − | 0.184904i | ||||
\(31\) | 3.94232 | − | 3.94232i | 0.708061 | − | 0.708061i | −0.258066 | − | 0.966127i | \(-0.583085\pi\) |
0.966127 | + | 0.258066i | \(0.0830853\pi\) | |||||||
\(32\) | 5.32045 | + | 1.92167i | 0.940532 | + | 0.339706i | ||||
\(33\) | 1.42521 | + | 1.42521i | 0.248098 | + | 0.248098i | ||||
\(34\) | 0.849328 | + | 1.62958i | 0.145658 | + | 0.279471i | ||||
\(35\) | 4.65993 | − | 1.41357i | 0.787671 | − | 0.238937i | ||||
\(36\) | −1.44337 | + | 1.38445i | −0.240561 | + | 0.230741i | ||||
\(37\) | 1.45144 | − | 0.142954i | 0.238615 | − | 0.0235015i | 0.0219972 | − | 0.999758i | \(-0.492998\pi\) |
0.216618 | + | 0.976257i | \(0.430498\pi\) | |||||||
\(38\) | −0.684289 | + | 0.670180i | −0.111006 | + | 0.108718i | ||||
\(39\) | −2.23596 | + | 0.444760i | −0.358040 | + | 0.0712187i | ||||
\(40\) | −2.38576 | − | 6.31052i | −0.377221 | − | 0.997780i | ||||
\(41\) | −1.24514 | + | 6.25974i | −0.194458 | + | 0.977607i | 0.753071 | + | 0.657939i | \(0.228571\pi\) |
−0.947530 | + | 0.319668i | \(0.896429\pi\) | |||||||
\(42\) | 0.592732 | − | 2.82572i | 0.0914606 | − | 0.436018i | ||||
\(43\) | −3.63120 | + | 1.94092i | −0.553752 | + | 0.295987i | −0.724439 | − | 0.689339i | \(-0.757901\pi\) |
0.170687 | + | 0.985325i | \(0.445401\pi\) | |||||||
\(44\) | −0.478597 | + | 4.00260i | −0.0721513 | + | 0.603415i | ||||
\(45\) | 2.37374 | + | 0.233793i | 0.353856 | + | 0.0348518i | ||||
\(46\) | −4.37017 | − | 5.43963i | −0.644347 | − | 0.802030i | ||||
\(47\) | 3.99335 | − | 9.64079i | 0.582489 | − | 1.40625i | −0.308060 | − | 0.951367i | \(-0.599680\pi\) |
0.890549 | − | 0.454887i | \(-0.150320\pi\) | |||||||
\(48\) | −3.96095 | − | 0.557532i | −0.571714 | − | 0.0804729i | ||||
\(49\) | −1.08375 | − | 2.61641i | −0.154822 | − | 0.373773i | ||||
\(50\) | −0.468460 | + | 0.854887i | −0.0662502 | + | 0.120899i | ||||
\(51\) | −0.824333 | − | 1.00445i | −0.115430 | − | 0.140651i | ||||
\(52\) | −3.46355 | − | 2.96533i | −0.480308 | − | 0.411217i | ||||
\(53\) | 1.42674 | − | 4.70334i | 0.195978 | − | 0.646053i | −0.802782 | − | 0.596272i | \(-0.796648\pi\) |
0.998760 | − | 0.0497806i | \(-0.0158522\pi\) | |||||||
\(54\) | 0.797900 | − | 1.16763i | 0.108580 | − | 0.158894i | ||||
\(55\) | 3.99734 | − | 2.67094i | 0.539001 | − | 0.360149i | ||||
\(56\) | 5.17516 | − | 2.56162i | 0.691559 | − | 0.342310i | ||||
\(57\) | 0.376272 | − | 0.563131i | 0.0498384 | − | 0.0745885i | ||||
\(58\) | −2.45385 | + | 5.75386i | −0.322206 | + | 0.755519i | ||||
\(59\) | −6.73143 | − | 5.52434i | −0.876358 | − | 0.719208i | 0.0844487 | − | 0.996428i | \(-0.473087\pi\) |
−0.960807 | + | 0.277219i | \(0.910587\pi\) | |||||||
\(60\) | 2.56712 | + | 4.02083i | 0.331414 | + | 0.519087i | ||||
\(61\) | −3.92102 | + | 7.33571i | −0.502035 | + | 0.939242i | 0.495468 | + | 0.868626i | \(0.334996\pi\) |
−0.997504 | + | 0.0706158i | \(0.977504\pi\) | |||||||
\(62\) | −7.85429 | + | 0.691058i | −0.997496 | + | 0.0877645i | ||||
\(63\) | 2.04157i | 0.257214i | ||||||||
\(64\) | −4.02045 | − | 6.91636i | −0.502556 | − | 0.864544i | ||||
\(65\) | 5.43776i | 0.674471i | ||||||||
\(66\) | −0.249829 | − | 2.83946i | −0.0307519 | − | 0.349513i | ||||
\(67\) | 2.13980 | − | 4.00329i | 0.261418 | − | 0.489079i | −0.716631 | − | 0.697452i | \(-0.754317\pi\) |
0.978049 | + | 0.208373i | \(0.0668168\pi\) | |||||||
\(68\) | 0.559986 | − | 2.53776i | 0.0679083 | − | 0.307748i | ||||
\(69\) | 3.81401 | + | 3.13007i | 0.459152 | + | 0.376817i | ||||
\(70\) | −6.33466 | − | 2.70154i | −0.757136 | − | 0.322896i | ||||
\(71\) | −8.27472 | + | 12.3840i | −0.982028 | + | 1.46971i | −0.102002 | + | 0.994784i | \(0.532525\pi\) |
−0.880026 | + | 0.474925i | \(0.842475\pi\) | |||||||
\(72\) | 2.82209 | − | 0.189157i | 0.332587 | − | 0.0222924i | ||||
\(73\) | −6.01751 | + | 4.02077i | −0.704297 | + | 0.470596i | −0.855431 | − | 0.517917i | \(-0.826708\pi\) |
0.151134 | + | 0.988513i | \(0.451708\pi\) | |||||||
\(74\) | −1.70294 | − | 1.16371i | −0.197963 | − | 0.135278i | ||||
\(75\) | 0.200095 | − | 0.659625i | 0.0231050 | − | 0.0761669i | ||||
\(76\) | 1.35049 | − | 0.104660i | 0.154912 | − | 0.0120053i | ||||
\(77\) | 2.61047 | + | 3.18086i | 0.297490 | + | 0.362493i | ||||
\(78\) | 2.82740 | + | 1.54935i | 0.320140 | + | 0.175430i | ||||
\(79\) | 2.42450 | + | 5.85326i | 0.272778 | + | 0.658543i | 0.999600 | − | 0.0282820i | \(-0.00900365\pi\) |
−0.726822 | + | 0.686826i | \(0.759004\pi\) | |||||||
\(80\) | −3.14746 | + | 9.00680i | −0.351896 | + | 1.00699i | ||||
\(81\) | −0.382683 | + | 0.923880i | −0.0425204 | + | 0.102653i | ||||
\(82\) | 7.03649 | − | 5.65308i | 0.777050 | − | 0.624278i | ||||
\(83\) | 4.16177 | + | 0.409899i | 0.456814 | + | 0.0449922i | 0.323807 | − | 0.946123i | \(-0.395037\pi\) |
0.133006 | + | 0.991115i | \(0.457537\pi\) | |||||||
\(84\) | −3.20958 | + | 2.52401i | −0.350194 | + | 0.275392i | ||||
\(85\) | −2.73340 | + | 1.46103i | −0.296479 | + | 0.158471i | ||||
\(86\) | 5.69882 | + | 1.19540i | 0.614519 | + | 0.128904i | ||||
\(87\) | 0.862911 | − | 4.33815i | 0.0925138 | − | 0.465098i | ||||
\(88\) | 4.15509 | − | 3.90320i | 0.442934 | − | 0.416083i | ||||
\(89\) | −10.0964 | + | 2.00831i | −1.07022 | + | 0.212880i | −0.698606 | − | 0.715507i | \(-0.746196\pi\) |
−0.371615 | + | 0.928387i | \(0.621196\pi\) | |||||||
\(90\) | −2.36025 | − | 2.40994i | −0.248793 | − | 0.254030i | ||||
\(91\) | −4.63189 | + | 0.456202i | −0.485554 | + | 0.0478229i | ||||
\(92\) | −0.205552 | + | 9.86579i | −0.0214303 | + | 1.02858i | ||||
\(93\) | 5.33521 | − | 1.61842i | 0.553235 | − | 0.167822i | ||||
\(94\) | −13.0867 | + | 6.82069i | −1.34979 | + | 0.703501i | ||||
\(95\) | −1.14229 | − | 1.14229i | −0.117197 | − | 0.117197i | ||||
\(96\) | 3.78635 | + | 4.20280i | 0.386443 | + | 0.428947i | ||||
\(97\) | −9.11913 | + | 9.11913i | −0.925907 | + | 0.925907i | −0.997438 | − | 0.0715310i | \(-0.977212\pi\) |
0.0715310 | + | 0.997438i | \(0.477212\pi\) | |||||||
\(98\) | −1.20246 | + | 3.82026i | −0.121466 | + | 0.385905i | ||||
\(99\) | 0.585085 | + | 1.92877i | 0.0588033 | + | 0.193848i | ||||
\(100\) | 1.28439 | − | 0.500927i | 0.128439 | − | 0.0500927i | ||||
\(101\) | −1.15741 | − | 11.7513i | −0.115166 | − | 1.16930i | −0.862925 | − | 0.505332i | \(-0.831370\pi\) |
0.747759 | − | 0.663970i | \(-0.231130\pi\) | |||||||
\(102\) | −0.0191403 | + | 1.83753i | −0.00189517 | + | 0.181943i | ||||
\(103\) | 1.07543 | + | 5.40655i | 0.105965 | + | 0.532723i | 0.996906 | + | 0.0786035i | \(0.0250461\pi\) |
−0.890941 | + | 0.454120i | \(0.849954\pi\) | |||||||
\(104\) | 1.05977 | + | 6.36047i | 0.103919 | + | 0.623695i | ||||
\(105\) | 4.77604 | + | 0.950014i | 0.466094 | + | 0.0927119i | ||||
\(106\) | −5.81931 | + | 3.80126i | −0.565221 | + | 0.369211i | ||||
\(107\) | −1.12667 | − | 2.10785i | −0.108919 | − | 0.203773i | 0.821557 | − | 0.570127i | \(-0.193106\pi\) |
−0.930476 | + | 0.366354i | \(0.880606\pi\) | |||||||
\(108\) | −1.92556 | + | 0.540577i | −0.185287 | + | 0.0520170i | ||||
\(109\) | −1.65828 | + | 16.8367i | −0.158834 | + | 1.61267i | 0.503865 | + | 0.863782i | \(0.331911\pi\) |
−0.662699 | + | 0.748886i | \(0.730589\pi\) | |||||||
\(110\) | −6.75887 | − | 0.736849i | −0.644433 | − | 0.0702558i | ||||
\(111\) | 1.34744 | + | 0.558129i | 0.127894 | + | 0.0529752i | ||||
\(112\) | −7.93606 | − | 1.92538i | −0.749888 | − | 0.181932i | ||||
\(113\) | −15.6486 | + | 6.48185i | −1.47209 | + | 0.609761i | −0.967335 | − | 0.253500i | \(-0.918418\pi\) |
−0.504758 | + | 0.863261i | \(0.668418\pi\) | |||||||
\(114\) | −0.919410 | + | 0.268475i | −0.0861106 | + | 0.0251450i | ||||
\(115\) | 9.09727 | − | 7.46594i | 0.848325 | − | 0.696202i | ||||
\(116\) | 7.88689 | − | 4.00669i | 0.732279 | − | 0.372012i | ||||
\(117\) | −2.18160 | − | 0.661781i | −0.201689 | − | 0.0611817i | ||||
\(118\) | 2.27662 | + | 12.1028i | 0.209580 | + | 1.11415i | ||||
\(119\) | −1.47383 | − | 2.20574i | −0.135106 | − | 0.202200i | ||||
\(120\) | 0.870706 | − | 6.69002i | 0.0794842 | − | 0.610712i | ||||
\(121\) | −5.76835 | − | 3.85429i | −0.524395 | − | 0.350390i | ||||
\(122\) | 10.9141 | − | 4.38816i | 0.988119 | − | 0.397286i | ||||
\(123\) | −4.04894 | + | 4.93364i | −0.365080 | + | 0.444852i | ||||
\(124\) | 9.14029 | + | 6.38670i | 0.820822 | + | 0.573542i | ||||
\(125\) | 9.06790 | + | 4.84689i | 0.811057 | + | 0.433519i | ||||
\(126\) | 1.85478 | − | 2.21265i | 0.165237 | − | 0.197119i | ||||
\(127\) | 13.4180 | 1.19066 | 0.595328 | − | 0.803483i | \(-0.297022\pi\) | ||||
0.595328 | + | 0.803483i | \(0.297022\pi\) | |||||||
\(128\) | −1.92619 | + | 11.1485i | −0.170253 | + | 0.985400i | ||||
\(129\) | −4.11737 | −0.362514 | ||||||||
\(130\) | 4.94023 | − | 5.89343i | 0.433287 | − | 0.516888i | ||||
\(131\) | −15.5513 | − | 8.31234i | −1.35872 | − | 0.726253i | −0.378772 | − | 0.925490i | \(-0.623654\pi\) |
−0.979951 | + | 0.199237i | \(0.936154\pi\) | |||||||
\(132\) | −2.30890 | + | 3.30437i | −0.200964 | + | 0.287608i | ||||
\(133\) | 0.877174 | − | 1.06884i | 0.0760607 | − | 0.0926802i | ||||
\(134\) | −5.95612 | + | 2.39473i | −0.514530 | + | 0.206873i | ||||
\(135\) | 1.98324 | + | 1.32516i | 0.170690 | + | 0.114052i | ||||
\(136\) | −2.91248 | + | 2.24167i | −0.249743 | + | 0.192221i | ||||
\(137\) | −3.67875 | − | 5.50564i | −0.314297 | − | 0.470378i | 0.640365 | − | 0.768071i | \(-0.278783\pi\) |
−0.954662 | + | 0.297692i | \(0.903783\pi\) | |||||||
\(138\) | −1.28992 | − | 6.85741i | −0.109806 | − | 0.583742i | ||||
\(139\) | −11.8681 | − | 3.60016i | −1.00664 | − | 0.305361i | −0.256433 | − | 0.966562i | \(-0.582547\pi\) |
−0.750209 | + | 0.661201i | \(0.770047\pi\) | |||||||
\(140\) | 4.41112 | + | 8.68300i | 0.372808 | + | 0.733847i | ||||
\(141\) | 8.06645 | − | 6.61997i | 0.679318 | − | 0.557502i | ||||
\(142\) | 20.2190 | − | 5.90412i | 1.69674 | − | 0.495463i | ||||
\(143\) | −4.24522 | + | 1.75843i | −0.355003 | + | 0.147047i | ||||
\(144\) | −3.23043 | − | 2.35888i | −0.269203 | − | 0.196573i | ||||
\(145\) | −9.74710 | − | 4.03738i | −0.809452 | − | 0.335286i | ||||
\(146\) | 10.1747 | + | 1.10924i | 0.842061 | + | 0.0918011i | ||||
\(147\) | 0.277583 | − | 2.81835i | 0.0228947 | − | 0.232454i | ||||
\(148\) | 0.788410 | + | 2.80835i | 0.0648069 | + | 0.230845i | ||||
\(149\) | −6.57456 | − | 12.3001i | −0.538609 | − | 1.00767i | −0.993140 | − | 0.116935i | \(-0.962693\pi\) |
0.454531 | − | 0.890731i | \(-0.349807\pi\) | |||||||
\(150\) | −0.816135 | + | 0.533113i | −0.0666372 | + | 0.0435285i | ||||
\(151\) | 19.7401 | + | 3.92656i | 1.60643 | + | 0.319539i | 0.915170 | − | 0.403068i | \(-0.132056\pi\) |
0.691259 | + | 0.722607i | \(0.257056\pi\) | |||||||
\(152\) | −1.55875 | − | 1.11350i | −0.126431 | − | 0.0903168i | ||||
\(153\) | −0.253501 | − | 1.27444i | −0.0204943 | − | 0.103032i | ||||
\(154\) | 0.0606128 | − | 5.81903i | 0.00488431 | − | 0.468911i | ||||
\(155\) | −1.30346 | − | 13.2343i | −0.104697 | − | 1.06300i | ||||
\(156\) | −1.65673 | − | 4.24789i | −0.132645 | − | 0.340103i | ||||
\(157\) | −6.23968 | − | 20.5695i | −0.497981 | − | 1.64162i | −0.740929 | − | 0.671583i | \(-0.765615\pi\) |
0.242948 | − | 0.970039i | \(-0.421885\pi\) | |||||||
\(158\) | 2.69005 | − | 8.54643i | 0.214009 | − | 0.679917i | ||||
\(159\) | 3.47541 | − | 3.47541i | 0.275618 | − | 0.275618i | ||||
\(160\) | 11.5939 | − | 6.90207i | 0.916581 | − | 0.545656i | ||||
\(161\) | 7.12272 | + | 7.12272i | 0.561349 | + | 0.561349i | ||||
\(162\) | 1.25410 | − | 0.653629i | 0.0985315 | − | 0.0513539i | ||||
\(163\) | 18.9985 | − | 5.76313i | 1.48808 | − | 0.451403i | 0.561490 | − | 0.827483i | \(-0.310228\pi\) |
0.926587 | + | 0.376080i | \(0.122728\pi\) | |||||||
\(164\) | −12.7620 | − | 0.265894i | −0.996543 | − | 0.0207628i | ||||
\(165\) | 4.78441 | − | 0.471223i | 0.372466 | − | 0.0366847i | ||||
\(166\) | −4.13812 | − | 4.22524i | −0.321181 | − | 0.327942i | ||||
\(167\) | −17.0695 | + | 3.39533i | −1.32087 | + | 0.262738i | −0.804667 | − | 0.593726i | \(-0.797656\pi\) |
−0.516207 | + | 0.856464i | \(0.672656\pi\) | |||||||
\(168\) | 5.77162 | + | 0.180409i | 0.445290 | + | 0.0139188i | ||||
\(169\) | −1.52222 | + | 7.65274i | −0.117094 | + | 0.588672i | ||||
\(170\) | 4.28981 | + | 0.899845i | 0.329014 | + | 0.0690150i | ||||
\(171\) | 0.597300 | − | 0.319264i | 0.0456767 | − | 0.0244147i | ||||
\(172\) | −5.09033 | − | 6.47298i | −0.388134 | − | 0.493560i | ||||
\(173\) | 2.13477 | + | 0.210257i | 0.162304 | + | 0.0159855i | 0.178843 | − | 0.983878i | \(-0.442765\pi\) |
−0.0165389 | + | 0.999863i | \(0.505265\pi\) | |||||||
\(174\) | −4.87645 | + | 3.91772i | −0.369683 | + | 0.297001i | ||||
\(175\) | 0.538538 | − | 1.30015i | 0.0407097 | − | 0.0982818i | ||||
\(176\) | −8.04936 | + | 0.455363i | −0.606743 | + | 0.0343243i | ||||
\(177\) | −3.33244 | − | 8.04521i | −0.250481 | − | 0.604715i | ||||
\(178\) | 12.7671 | + | 6.99607i | 0.956932 | + | 0.524378i | ||||
\(179\) | −5.32959 | − | 6.49412i | −0.398352 | − | 0.485393i | 0.534747 | − | 0.845012i | \(-0.320407\pi\) |
−0.933099 | + | 0.359619i | \(0.882907\pi\) | |||||||
\(180\) | 0.368593 | + | 4.75619i | 0.0274733 | + | 0.354506i | ||||
\(181\) | 2.84738 | − | 9.38655i | 0.211644 | − | 0.697697i | −0.785267 | − | 0.619157i | \(-0.787474\pi\) |
0.996911 | − | 0.0785395i | \(-0.0250257\pi\) | |||||||
\(182\) | 5.43450 | + | 3.71367i | 0.402832 | + | 0.275276i | ||||
\(183\) | −6.91606 | + | 4.62117i | −0.511250 | + | 0.341606i | ||||
\(184\) | 9.18590 | − | 10.5058i | 0.677193 | − | 0.774496i | ||||
\(185\) | 1.93269 | − | 2.89248i | 0.142095 | − | 0.212660i | ||||
\(186\) | −7.25263 | − | 3.09303i | −0.531788 | − | 0.226792i | ||||
\(187\) | −2.02453 | − | 1.66149i | −0.148048 | − | 0.121500i | ||||
\(188\) | 20.3800 | + | 4.49708i | 1.48636 | + | 0.327983i | ||||
\(189\) | −0.962390 | + | 1.80051i | −0.0700036 | + | 0.130967i | ||||
\(190\) | 0.200235 | + | 2.27579i | 0.0145266 | + | 0.165103i | ||||
\(191\) | 2.66457i | 0.192801i | 0.995343 | + | 0.0964006i | \(0.0307330\pi\) | ||||
−0.995343 | + | 0.0964006i | \(0.969267\pi\) | |||||||
\(192\) | −0.285374 | − | 7.99491i | −0.0205951 | − | 0.576983i | ||||
\(193\) | 5.89897i | 0.424617i | 0.977203 | + | 0.212309i | \(0.0680982\pi\) | ||||
−0.977203 | + | 0.212309i | \(0.931902\pi\) | |||||||
\(194\) | 18.1681 | − | 1.59852i | 1.30439 | − | 0.114767i | ||||
\(195\) | −2.56334 | + | 4.79568i | −0.183565 | + | 0.343425i | ||||
\(196\) | 4.77395 | − | 3.04795i | 0.340996 | − | 0.217711i | ||||
\(197\) | −9.21547 | − | 7.56294i | −0.656575 | − | 0.538837i | 0.246054 | − | 0.969256i | \(-0.420866\pi\) |
−0.902629 | + | 0.430419i | \(0.858366\pi\) | |||||||
\(198\) | 1.11818 | − | 2.62195i | 0.0794657 | − | 0.186334i | ||||
\(199\) | 3.34864 | − | 5.01159i | 0.237379 | − | 0.355262i | −0.693585 | − | 0.720375i | \(-0.743970\pi\) |
0.930963 | + | 0.365113i | \(0.118970\pi\) | |||||||
\(200\) | −1.84711 | − | 0.623967i | −0.130610 | − | 0.0441212i | ||||
\(201\) | 3.77427 | − | 2.52189i | 0.266217 | − | 0.177880i | ||||
\(202\) | −9.42176 | + | 13.7876i | −0.662913 | + | 0.970091i | ||||
\(203\) | 2.62131 | − | 8.64131i | 0.183980 | − | 0.606501i | ||||
\(204\) | 1.69015 | − | 1.97413i | 0.118334 | − | 0.138217i | ||||
\(205\) | 9.65763 | + | 11.7679i | 0.674518 | + | 0.821903i | ||||
\(206\) | 3.74633 | − | 6.83664i | 0.261019 | − | 0.476331i | ||||
\(207\) | 1.88815 | + | 4.55839i | 0.131235 | + | 0.316830i | ||||
\(208\) | 4.62994 | − | 7.85627i | 0.321029 | − | 0.544734i | ||||
\(209\) | 0.522393 | − | 1.26117i | 0.0361347 | − | 0.0872368i | ||||
\(210\) | −4.31317 | − | 5.36868i | −0.297637 | − | 0.370474i | ||||
\(211\) | −3.89162 | − | 0.383291i | −0.267910 | − | 0.0263869i | −0.0368301 | − | 0.999322i | \(-0.511726\pi\) |
−0.231080 | + | 0.972935i | \(0.574226\pi\) | |||||||
\(212\) | 9.76042 | + | 1.16707i | 0.670349 | + | 0.0801547i | ||||
\(213\) | −13.1354 | + | 7.02103i | −0.900024 | + | 0.481073i | ||||
\(214\) | −0.693910 | + | 3.30806i | −0.0474347 | + | 0.226134i | ||||
\(215\) | −1.91596 | + | 9.63216i | −0.130667 | + | 0.656908i | ||||
\(216\) | 2.57803 | + | 1.16350i | 0.175413 | + | 0.0791665i | ||||
\(217\) | 11.1636 | − | 2.22058i | 0.757836 | − | 0.150743i | ||||
\(218\) | 17.0935 | − | 16.7411i | 1.15772 | − | 1.13385i | ||||
\(219\) | −7.20235 | + | 0.709370i | −0.486690 | + | 0.0479348i | ||||
\(220\) | 6.65582 | + | 6.93906i | 0.448735 | + | 0.467832i | ||||
\(221\) | 2.83478 | − | 0.859921i | 0.190688 | − | 0.0578445i | ||||
\(222\) | −0.953292 | − | 1.82906i | −0.0639807 | − | 0.122758i | ||||
\(223\) | 16.6668 | + | 16.6668i | 1.11609 | + | 1.11609i | 0.992310 | + | 0.123780i | \(0.0395018\pi\) |
0.123780 | + | 0.992310i | \(0.460498\pi\) | |||||||
\(224\) | 6.85187 | + | 9.29668i | 0.457810 | + | 0.621161i | ||||
\(225\) | 0.487413 | − | 0.487413i | 0.0324942 | − | 0.0324942i | ||||
\(226\) | 22.8487 | + | 7.19179i | 1.51987 | + | 0.478391i | ||||
\(227\) | 8.67960 | + | 28.6128i | 0.576085 | + | 1.89910i | 0.406747 | + | 0.913541i | \(0.366663\pi\) |
0.169339 | + | 0.985558i | \(0.445837\pi\) | |||||||
\(228\) | 1.24037 | + | 0.544316i | 0.0821452 | + | 0.0360482i | ||||
\(229\) | −0.468204 | − | 4.75376i | −0.0309398 | − | 0.314137i | −0.998182 | − | 0.0602800i | \(-0.980801\pi\) |
0.967242 | − | 0.253857i | \(-0.0816993\pi\) | |||||||
\(230\) | −16.6424 | − | 0.173353i | −1.09737 | − | 0.0114305i | ||||
\(231\) | 0.802778 | + | 4.03584i | 0.0528189 | + | 0.265538i | ||||
\(232\) | −12.1879 | − | 2.82284i | −0.800174 | − | 0.185329i | ||||
\(233\) | 27.0721 | + | 5.38498i | 1.77355 | + | 0.352782i | 0.970123 | − | 0.242615i | \(-0.0780052\pi\) |
0.803432 | + | 0.595397i | \(0.203005\pi\) | |||||||
\(234\) | 1.76318 | + | 2.69923i | 0.115263 | + | 0.176454i | ||||
\(235\) | −11.7331 | − | 21.9511i | −0.765384 | − | 1.43193i | ||||
\(236\) | 8.52808 | − | 15.1853i | 0.555131 | − | 0.988481i | ||||
\(237\) | −0.620990 | + | 6.30502i | −0.0403376 | + | 0.409555i | ||||
\(238\) | −0.406595 | + | 3.72956i | −0.0263557 | + | 0.241752i | ||||
\(239\) | −25.2426 | − | 10.4558i | −1.63281 | − | 0.676331i | −0.637264 | − | 0.770645i | \(-0.719934\pi\) |
−0.995542 | + | 0.0943146i | \(0.969934\pi\) | |||||||
\(240\) | −7.02159 | + | 6.45959i | −0.453241 | + | 0.416964i | ||||
\(241\) | −5.67671 | + | 2.35137i | −0.365669 | + | 0.151465i | −0.557949 | − | 0.829875i | \(-0.688412\pi\) |
0.192280 | + | 0.981340i | \(0.438412\pi\) | |||||||
\(242\) | 2.75008 | + | 9.41784i | 0.176782 | + | 0.605402i | ||||
\(243\) | −0.773010 | + | 0.634393i | −0.0495886 | + | 0.0406963i | ||||
\(244\) | −15.8154 | − | 5.15966i | −1.01248 | − | 0.330314i | ||||
\(245\) | −6.46406 | − | 1.96085i | −0.412974 | − | 0.125274i | ||||
\(246\) | 8.87047 | − | 1.66859i | 0.565560 | − | 0.106386i | ||||
\(247\) | 0.857812 | + | 1.28381i | 0.0545813 | + | 0.0816866i | ||||
\(248\) | −4.10388 | − | 15.2259i | −0.260597 | − | 0.966845i | ||||
\(249\) | 3.47713 | + | 2.32334i | 0.220354 | + | 0.147236i | ||||
\(250\) | −5.42434 | − | 13.4913i | −0.343065 | − | 0.853264i | ||||
\(251\) | 0.538913 | − | 0.656667i | 0.0340159 | − | 0.0414484i | −0.755725 | − | 0.654889i | \(-0.772715\pi\) |
0.789741 | + | 0.613441i | \(0.210215\pi\) | |||||||
\(252\) | −4.02041 | + | 0.712990i | −0.253262 | + | 0.0449141i | ||||
\(253\) | 8.77043 | + | 4.68789i | 0.551392 | + | 0.294725i | ||||
\(254\) | −14.5424 | − | 12.1903i | −0.912472 | − | 0.764889i | ||||
\(255\) | −3.09937 | −0.194090 | ||||||||
\(256\) | 12.2161 | − | 10.3328i | 0.763506 | − | 0.645800i | ||||
\(257\) | 17.0076 | 1.06090 | 0.530451 | − | 0.847716i | \(-0.322023\pi\) | ||||
0.530451 | + | 0.847716i | \(0.322023\pi\) | |||||||
\(258\) | 4.46240 | + | 3.74065i | 0.277817 | + | 0.232883i | ||||
\(259\) | 2.62597 | + | 1.40361i | 0.163170 | + | 0.0872159i | ||||
\(260\) | −10.7084 | + | 1.89906i | −0.664109 | + | 0.117775i | ||||
\(261\) | 2.80601 | − | 3.41913i | 0.173688 | − | 0.211639i | ||||
\(262\) | 9.30266 | + | 23.1373i | 0.574720 | + | 1.42943i | ||||
\(263\) | 7.66863 | + | 5.12402i | 0.472868 | + | 0.315960i | 0.769070 | − | 0.639165i | \(-0.220720\pi\) |
−0.296201 | + | 0.955126i | \(0.595720\pi\) | |||||||
\(264\) | 5.50442 | − | 1.48362i | 0.338773 | − | 0.0913106i | ||||
\(265\) | −6.51313 | − | 9.74759i | −0.400099 | − | 0.598790i | ||||
\(266\) | −1.92173 | + | 0.361489i | −0.117829 | + | 0.0221643i | ||||
\(267\) | −9.85098 | − | 2.98826i | −0.602870 | − | 0.182879i | ||||
\(268\) | 8.63086 | + | 2.81576i | 0.527214 | + | 0.172000i | ||||
\(269\) | 0.629886 | − | 0.516934i | 0.0384048 | − | 0.0315180i | −0.614995 | − | 0.788531i | \(-0.710842\pi\) |
0.653400 | + | 0.757013i | \(0.273342\pi\) | |||||||
\(270\) | −0.945519 | − | 3.23799i | −0.0575425 | − | 0.197058i | ||||
\(271\) | −9.81622 | + | 4.06601i | −0.596293 | + | 0.246993i | −0.660355 | − | 0.750953i | \(-0.729594\pi\) |
0.0640624 | + | 0.997946i | \(0.479594\pi\) | |||||||
\(272\) | 5.19310 | + | 0.216489i | 0.314878 | + | 0.0131266i | ||||
\(273\) | −4.30002 | − | 1.78113i | −0.260249 | − | 0.107799i | ||||
\(274\) | −1.01488 | + | 9.30916i | −0.0613112 | + | 0.562387i | ||||
\(275\) | 0.136179 | − | 1.38265i | 0.00821189 | − | 0.0833767i | ||||
\(276\) | −4.83198 | + | 8.60395i | −0.290851 | + | 0.517897i | ||||
\(277\) | −9.52208 | − | 17.8146i | −0.572126 | − | 1.07037i | −0.987034 | − | 0.160510i | \(-0.948686\pi\) |
0.414908 | − | 0.909863i | \(-0.363814\pi\) | |||||||
\(278\) | 9.59189 | + | 14.6841i | 0.575284 | + | 0.880694i | ||||
\(279\) | 5.46815 | + | 1.08768i | 0.327370 | + | 0.0651178i | ||||
\(280\) | 3.10778 | − | 13.4181i | 0.185725 | − | 0.801887i | ||||
\(281\) | 2.32655 | + | 11.6964i | 0.138790 | + | 0.697747i | 0.986034 | + | 0.166542i | \(0.0532603\pi\) |
−0.847244 | + | 0.531204i | \(0.821740\pi\) | |||||||
\(282\) | −14.7567 | − | 0.153710i | −0.878747 | − | 0.00915329i | ||||
\(283\) | 1.71295 | + | 17.3918i | 0.101824 | + | 1.03384i | 0.901317 | + | 0.433161i | \(0.142602\pi\) |
−0.799493 | + | 0.600676i | \(0.794898\pi\) | |||||||
\(284\) | −27.2773 | − | 11.9702i | −1.61861 | − | 0.710303i | ||||
\(285\) | −0.468939 | − | 1.54589i | −0.0277776 | − | 0.0915703i | ||||
\(286\) | 6.19851 | + | 1.95103i | 0.366525 | + | 0.115367i | ||||
\(287\) | −9.21365 | + | 9.21365i | −0.543865 | + | 0.543865i | ||||
\(288\) | 1.35808 | + | 5.49141i | 0.0800255 | + | 0.323585i | ||||
\(289\) | −10.8269 | − | 10.8269i | −0.636877 | − | 0.636877i | ||||
\(290\) | 6.89590 | + | 13.2310i | 0.404941 | + | 0.776951i | ||||
\(291\) | −12.3411 | + | 3.74363i | −0.723447 | + | 0.219455i | ||||
\(292\) | −10.0195 | − | 10.4459i | −0.586349 | − | 0.611302i | ||||
\(293\) | −1.00922 | + | 0.0993990i | −0.0589590 | + | 0.00580695i | −0.127454 | − | 0.991845i | \(-0.540680\pi\) |
0.0684946 | + | 0.997651i | \(0.478180\pi\) | |||||||
\(294\) | −2.86133 | + | 2.80234i | −0.166876 | + | 0.163436i | ||||
\(295\) | −20.3716 | + | 4.05217i | −1.18608 | + | 0.235926i | ||||
\(296\) | 1.69693 | − | 3.75996i | 0.0986318 | − | 0.218543i | ||||
\(297\) | −0.393216 | + | 1.97683i | −0.0228167 | + | 0.114707i | ||||
\(298\) | −4.04925 | + | 19.3039i | −0.234567 | + | 1.11824i | ||||
\(299\) | −9.92010 | + | 5.30241i | −0.573694 | + | 0.306646i | ||||
\(300\) | 1.36886 | + | 0.163677i | 0.0790313 | + | 0.00944990i | ||||
\(301\) | −8.36543 | − | 0.823923i | −0.482175 | − | 0.0474901i | ||||
\(302\) | −17.8270 | − | 22.1896i | −1.02583 | − | 1.27687i | ||||
\(303\) | 4.51880 | − | 10.9094i | 0.259598 | − | 0.626726i | ||||
\(304\) | 0.677745 | + | 2.62294i | 0.0388713 | + | 0.150436i | ||||
\(305\) | 7.59245 | + | 18.3298i | 0.434742 | + | 1.04956i | ||||
\(306\) | −0.883088 | + | 1.61154i | −0.0504828 | + | 0.0921255i | ||||
\(307\) | 0.0565020 | + | 0.0688478i | 0.00322474 | + | 0.00392935i | 0.774620 | − | 0.632427i | \(-0.217941\pi\) |
−0.771396 | + | 0.636356i | \(0.780441\pi\) | |||||||
\(308\) | −5.35232 | + | 6.25159i | −0.304977 | + | 0.356217i | ||||
\(309\) | −1.60019 | + | 5.27510i | −0.0910314 | + | 0.300090i | ||||
\(310\) | −10.6107 | + | 15.5275i | −0.602648 | + | 0.881901i | ||||
\(311\) | −12.9406 | + | 8.64666i | −0.733796 | + | 0.490307i | −0.865454 | − | 0.500988i | \(-0.832970\pi\) |
0.131658 | + | 0.991295i | \(0.457970\pi\) | |||||||
\(312\) | −2.06367 | + | 6.10901i | −0.116832 | + | 0.345854i | ||||
\(313\) | 15.0027 | − | 22.4532i | 0.848005 | − | 1.26913i | −0.113277 | − | 0.993563i | \(-0.536135\pi\) |
0.961282 | − | 0.275566i | \(-0.0888651\pi\) | |||||||
\(314\) | −11.9249 | + | 27.9619i | −0.672962 | + | 1.57798i | ||||
\(315\) | 3.76426 | + | 3.08925i | 0.212092 | + | 0.174059i | ||||
\(316\) | −10.6799 | + | 6.81867i | −0.600794 | + | 0.383580i | ||||
\(317\) | 11.8589 | − | 22.1864i | 0.666062 | − | 1.24611i | −0.291137 | − | 0.956681i | \(-0.594033\pi\) |
0.957198 | − | 0.289432i | \(-0.0934665\pi\) | |||||||
\(318\) | −6.92407 | + | 0.609214i | −0.388283 | + | 0.0341630i | ||||
\(319\) | − | 8.91508i | − | 0.499149i | ||||||
\(320\) | −18.8360 | − | 3.05271i | −1.05297 | − | 0.170651i | ||||
\(321\) | − | 2.39006i | − | 0.133400i | ||||||
\(322\) | −1.24856 | − | 14.1906i | −0.0695795 | − | 0.790812i | ||||
\(323\) | −0.414852 | + | 0.776134i | −0.0230830 | + | 0.0431852i | ||||
\(324\) | −1.95302 | − | 0.430956i | −0.108501 | − | 0.0239420i | ||||
\(325\) | 1.21475 | + | 0.996922i | 0.0673824 | + | 0.0552993i | ||||
\(326\) | −25.8264 | − | 11.0142i | −1.43039 | − | 0.610019i | ||||
\(327\) | −9.39926 | + | 14.0670i | −0.519780 | + | 0.777906i | ||||
\(328\) | 13.5898 | + | 11.8825i | 0.750373 | + | 0.656102i | ||||
\(329\) | 17.7137 | − | 11.8359i | 0.976585 | − | 0.652533i | ||||
\(330\) | −5.61344 | − | 3.83595i | −0.309010 | − | 0.211162i | ||||
\(331\) | −5.16241 | + | 17.0182i | −0.283751 | + | 0.935403i | 0.692984 | + | 0.720953i | \(0.256296\pi\) |
−0.976735 | + | 0.214450i | \(0.931204\pi\) | |||||||
\(332\) | 0.646237 | + | 8.33881i | 0.0354669 | + | 0.457652i | ||||
\(333\) | 0.925237 | + | 1.12741i | 0.0507027 | + | 0.0617814i | ||||
\(334\) | 21.5845 | + | 11.8278i | 1.18105 | + | 0.647191i | ||||
\(335\) | −4.14339 | − | 10.0030i | −0.226378 | − | 0.546524i | ||||
\(336\) | −6.09136 | − | 5.43907i | −0.332311 | − | 0.296726i | ||||
\(337\) | −8.27412 | + | 19.9755i | −0.450720 | + | 1.08813i | 0.521329 | + | 0.853356i | \(0.325437\pi\) |
−0.972049 | + | 0.234779i | \(0.924563\pi\) | |||||||
\(338\) | 8.60234 | − | 6.91107i | 0.467906 | − | 0.375913i | ||||
\(339\) | −16.8563 | − | 1.66020i | −0.915510 | − | 0.0901699i | ||||
\(340\) | −3.83178 | − | 4.87257i | −0.207807 | − | 0.264252i | ||||
\(341\) | 9.91040 | − | 5.29722i | 0.536678 | − | 0.286861i | ||||
\(342\) | −0.937405 | − | 0.196633i | −0.0506891 | − | 0.0106327i | ||||
\(343\) | 3.91599 | − | 19.6870i | 0.211444 | − | 1.06300i | ||||
\(344\) | −0.363842 | + | 11.6400i | −0.0196170 | + | 0.627587i | ||||
\(345\) | 11.5425 | − | 2.29594i | 0.621427 | − | 0.123609i | ||||
\(346\) | −2.12264 | − | 2.16733i | −0.114114 | − | 0.116516i | ||||
\(347\) | 17.7051 | − | 1.74380i | 0.950461 | − | 0.0936122i | 0.389111 | − | 0.921191i | \(-0.372782\pi\) |
0.561350 | + | 0.827579i | \(0.310282\pi\) | |||||||
\(348\) | 8.84435 | + | 0.184271i | 0.474107 | + | 0.00987795i | ||||
\(349\) | 19.1039 | − | 5.79511i | 1.02261 | − | 0.310205i | 0.265931 | − | 0.963992i | \(-0.414321\pi\) |
0.756679 | + | 0.653787i | \(0.226821\pi\) | |||||||
\(350\) | −1.76486 | + | 0.919831i | −0.0943355 | + | 0.0491670i | ||||
\(351\) | −1.61204 | − | 1.61204i | −0.0860442 | − | 0.0860442i | ||||
\(352\) | 9.13757 | + | 6.81936i | 0.487034 | + | 0.363473i | ||||
\(353\) | 5.11721 | − | 5.11721i | 0.272361 | − | 0.272361i | −0.557689 | − | 0.830050i | \(-0.688312\pi\) |
0.830050 | + | 0.557689i | \(0.188312\pi\) | |||||||
\(354\) | −3.69743 | + | 11.7469i | −0.196516 | + | 0.624342i | ||||
\(355\) | 10.3126 | + | 33.9961i | 0.547336 | + | 1.80432i | ||||
\(356\) | −7.48094 | − | 19.1813i | −0.396489 | − | 1.01661i | ||||
\(357\) | −0.260022 | − | 2.64005i | −0.0137618 | − | 0.139726i | ||||
\(358\) | −0.123748 | + | 11.8803i | −0.00654030 | + | 0.627892i | ||||
\(359\) | 1.84862 | + | 9.29362i | 0.0975662 | + | 0.490498i | 0.998411 | + | 0.0563565i | \(0.0179483\pi\) |
−0.900845 | + | 0.434142i | \(0.857052\pi\) | |||||||
\(360\) | 3.92155 | − | 5.48962i | 0.206684 | − | 0.289328i | ||||
\(361\) | 18.1850 | + | 3.61723i | 0.957107 | + | 0.190380i | ||||
\(362\) | −11.6137 | + | 7.58626i | −0.610403 | + | 0.398725i | ||||
\(363\) | −3.27033 | − | 6.11836i | −0.171648 | − | 0.321130i | ||||
\(364\) | −2.51601 | − | 8.96214i | −0.131875 | − | 0.469744i | ||||
\(365\) | −1.69201 | + | 17.1792i | −0.0885637 | + | 0.899203i | ||||
\(366\) | 11.6940 | + | 1.27487i | 0.611253 | + | 0.0666386i | ||||
\(367\) | 12.8204 | + | 5.31038i | 0.669219 | + | 0.277200i | 0.691312 | − | 0.722556i | \(-0.257033\pi\) |
−0.0220929 | + | 0.999756i | \(0.507033\pi\) | |||||||
\(368\) | −19.5002 | + | 3.04070i | −1.01652 | + | 0.158507i | ||||
\(369\) | −5.89655 | + | 2.44243i | −0.306962 | + | 0.127148i | ||||
\(370\) | −4.72249 | + | 1.37900i | −0.245510 | + | 0.0716909i | ||||
\(371\) | 7.75660 | − | 6.36567i | 0.402702 | − | 0.330489i | ||||
\(372\) | 5.05035 | + | 9.94127i | 0.261848 | + | 0.515431i | ||||
\(373\) | 17.6137 | + | 5.34306i | 0.912003 | + | 0.276653i | 0.711209 | − | 0.702981i | \(-0.248148\pi\) |
0.200794 | + | 0.979634i | \(0.435648\pi\) | |||||||
\(374\) | 0.684710 | + | 3.64002i | 0.0354055 | + | 0.188221i | ||||
\(375\) | 5.71236 | + | 8.54916i | 0.294985 | + | 0.441476i | ||||
\(376\) | −18.0021 | − | 23.3892i | −0.928389 | − | 1.20621i | ||||
\(377\) | 8.38430 | + | 5.60221i | 0.431814 | + | 0.288529i | ||||
\(378\) | 2.67881 | − | 1.07705i | 0.137783 | − | 0.0553973i | ||||
\(379\) | 7.58167 | − | 9.23829i | 0.389444 | − | 0.474539i | −0.540974 | − | 0.841039i | \(-0.681944\pi\) |
0.930418 | + | 0.366501i | \(0.119444\pi\) | |||||||
\(380\) | 1.85056 | − | 2.64842i | 0.0949315 | − | 0.135861i | ||||
\(381\) | 11.8336 | + | 6.32520i | 0.606255 | + | 0.324050i | ||||
\(382\) | 2.42077 | − | 2.88785i | 0.123858 | − | 0.147755i | ||||
\(383\) | 8.84381 | 0.451898 | 0.225949 | − | 0.974139i | \(-0.427452\pi\) | ||||
0.225949 | + | 0.974139i | \(0.427452\pi\) | |||||||
\(384\) | −6.95413 | + | 8.92413i | −0.354876 | + | 0.455408i | ||||
\(385\) | 9.81497 | 0.500217 | ||||||||
\(386\) | 5.35925 | − | 6.39330i | 0.272779 | − | 0.325410i | ||||
\(387\) | −3.63120 | − | 1.94092i | −0.184584 | − | 0.0986623i | ||||
\(388\) | −21.1428 | − | 14.7733i | −1.07336 | − | 0.750002i | ||||
\(389\) | 2.11087 | − | 2.57211i | 0.107026 | − | 0.130411i | −0.716743 | − | 0.697338i | \(-0.754368\pi\) |
0.823768 | + | 0.566927i | \(0.191868\pi\) | |||||||
\(390\) | 7.13504 | − | 2.86873i | 0.361297 | − | 0.145264i | ||||
\(391\) | −5.33073 | − | 3.56188i | −0.269586 | − | 0.180132i | ||||
\(392\) | −7.94308 | − | 1.03379i | −0.401186 | − | 0.0522143i | ||||
\(393\) | −9.79661 | − | 14.6617i | −0.494174 | − | 0.739583i | ||||
\(394\) | 3.11674 | + | 16.5690i | 0.157019 | + | 0.834735i | ||||
\(395\) | 14.4610 | + | 4.38668i | 0.727610 | + | 0.220718i | ||||
\(396\) | −3.59394 | + | 1.82579i | −0.180602 | + | 0.0917492i | ||||
\(397\) | −16.2736 | + | 13.3554i | −0.816747 | + | 0.670287i | −0.947014 | − | 0.321192i | \(-0.895917\pi\) |
0.130267 | + | 0.991479i | \(0.458417\pi\) | |||||||
\(398\) | −8.18231 | + | 2.38930i | −0.410142 | + | 0.119765i | ||||
\(399\) | 1.27745 | − | 0.529136i | 0.0639523 | − | 0.0264899i | ||||
\(400\) | 1.43501 | + | 2.35436i | 0.0717507 | + | 0.117718i | ||||
\(401\) | −25.1296 | − | 10.4090i | −1.25491 | − | 0.519801i | −0.346567 | − | 0.938025i | \(-0.612653\pi\) |
−0.908344 | + | 0.418224i | \(0.862653\pi\) | |||||||
\(402\) | −6.38170 | − | 0.695730i | −0.318290 | − | 0.0346998i | ||||
\(403\) | −1.24583 | + | 12.6491i | −0.0620592 | + | 0.630098i | ||||
\(404\) | 22.7374 | − | 6.38324i | 1.13123 | − | 0.317578i | ||||
\(405\) | 1.12439 | + | 2.10358i | 0.0558713 | + | 0.104528i | ||||
\(406\) | −10.6917 | + | 6.98396i | −0.530618 | + | 0.346608i | ||||
\(407\) | 2.88313 | + | 0.573489i | 0.142911 | + | 0.0284268i | ||||
\(408\) | −3.62529 | + | 0.604040i | −0.179479 | + | 0.0299045i | ||||
\(409\) | −6.84766 | − | 34.4255i | −0.338595 | − | 1.70223i | −0.656680 | − | 0.754170i | \(-0.728040\pi\) |
0.318085 | − | 0.948062i | \(-0.396960\pi\) | |||||||
\(410\) | 0.224242 | − | 21.5280i | 0.0110745 | − | 1.06319i | ||||
\(411\) | −0.649027 | − | 6.58969i | −0.0320142 | − | 0.325045i | ||||
\(412\) | −10.2714 | + | 4.00597i | −0.506035 | + | 0.197360i | ||||
\(413\) | −5.16073 | − | 17.0126i | −0.253943 | − | 0.837137i | ||||
\(414\) | 2.09495 | − | 6.65576i | 0.102961 | − | 0.327113i | ||||
\(415\) | 7.05325 | − | 7.05325i | 0.346230 | − | 0.346230i | ||||
\(416\) | −12.1554 | + | 4.30828i | −0.595967 | + | 0.211231i | ||||
\(417\) | −8.76965 | − | 8.76965i | −0.429452 | − | 0.429452i | ||||
\(418\) | −1.71195 | + | 0.892255i | −0.0837340 | + | 0.0436416i | ||||
\(419\) | −6.49854 | + | 1.97131i | −0.317475 | + | 0.0963049i | −0.445000 | − | 0.895530i | \(-0.646796\pi\) |
0.127526 | + | 0.991835i | \(0.459296\pi\) | |||||||
\(420\) | −0.202871 | + | 9.73711i | −0.00989910 | + | 0.475122i | ||||
\(421\) | −4.89233 | + | 0.481853i | −0.238438 | + | 0.0234841i | −0.216530 | − | 0.976276i | \(-0.569474\pi\) |
−0.0219076 | + | 0.999760i | \(0.506974\pi\) | |||||||
\(422\) | 3.86951 | + | 3.95097i | 0.188365 | + | 0.192330i | ||||
\(423\) | 10.2346 | − | 2.03579i | 0.497624 | − | 0.0989835i | ||||
\(424\) | −9.51804 | − | 10.1323i | −0.462237 | − | 0.492066i | ||||
\(425\) | −0.174740 | + | 0.878477i | −0.00847613 | + | 0.0426124i | ||||
\(426\) | 20.6148 | + | 4.32423i | 0.998790 | + | 0.209509i | ||||
\(427\) | −14.9764 | + | 8.00504i | −0.724758 | + | 0.387391i | ||||
\(428\) | 3.75745 | − | 2.95485i | 0.181623 | − | 0.142828i | ||||
\(429\) | −4.57287 | − | 0.450389i | −0.220780 | − | 0.0217450i | ||||
\(430\) | 10.8274 | − | 8.69866i | 0.522142 | − | 0.419486i | ||||
\(431\) | 8.48833 | − | 20.4926i | 0.408868 | − | 0.987095i | −0.576568 | − | 0.817049i | \(-0.695608\pi\) |
0.985436 | − | 0.170046i | \(-0.0543916\pi\) | |||||||
\(432\) | −1.73702 | − | 3.60316i | −0.0835723 | − | 0.173357i | ||||
\(433\) | 14.2471 | + | 34.3955i | 0.684672 | + | 1.65294i | 0.755250 | + | 0.655437i | \(0.227516\pi\) |
−0.0705781 | + | 0.997506i | \(0.522484\pi\) | |||||||
\(434\) | −14.1165 | − | 7.73554i | −0.677614 | − | 0.371318i | ||||
\(435\) | −6.69297 | − | 8.15540i | −0.320903 | − | 0.391022i | ||||
\(436\) | −33.7353 | + | 2.61440i | −1.61563 | + | 0.125207i | ||||
\(437\) | 0.970025 | − | 3.19774i | 0.0464026 | − | 0.152969i | ||||
\(438\) | 8.45036 | + | 5.77456i | 0.403774 | + | 0.275919i | ||||
\(439\) | −6.83927 | + | 4.56985i | −0.326421 | + | 0.218107i | −0.707972 | − | 0.706240i | \(-0.750390\pi\) |
0.381552 | + | 0.924348i | \(0.375390\pi\) | |||||||
\(440\) | −0.909383 | − | 13.5674i | −0.0433531 | − | 0.646800i | ||||
\(441\) | 1.57337 | − | 2.35471i | 0.0749223 | − | 0.112129i | ||||
\(442\) | −3.85357 | − | 1.64343i | −0.183296 | − | 0.0781701i | ||||
\(443\) | 21.0794 | + | 17.2994i | 1.00151 | + | 0.821920i | 0.984044 | − | 0.177928i | \(-0.0569393\pi\) |
0.0174687 | + | 0.999847i | \(0.494439\pi\) | |||||||
\(444\) | −0.628532 | + | 2.84840i | −0.0298288 | + | 0.135179i | ||||
\(445\) | −11.5747 | + | 21.6548i | −0.548695 | + | 1.02654i | ||||
\(446\) | −2.92156 | − | 33.2053i | −0.138340 | − | 1.57232i | ||||
\(447\) | − | 13.9470i | − | 0.659669i | ||||||
\(448\) | 1.02005 | − | 16.3007i | 0.0481927 | − | 0.770135i | ||||
\(449\) | − | 20.3796i | − | 0.961773i | −0.876783 | − | 0.480887i | \(-0.840315\pi\) | ||
0.876783 | − | 0.480887i | \(-0.159685\pi\) | |||||||
\(450\) | −0.971075 | + | 0.0854399i | −0.0457769 | + | 0.00402767i | ||||
\(451\) | −6.06407 | + | 11.3451i | −0.285546 | + | 0.534218i | ||||
\(452\) | −18.2296 | − | 28.5526i | −0.857447 | − | 1.34300i | ||||
\(453\) | 15.5583 | + | 12.7683i | 0.730992 | + | 0.599909i | ||||
\(454\) | 16.5880 | − | 38.8960i | 0.778511 | − | 1.82548i | ||||
\(455\) | −6.16770 | + | 9.23062i | −0.289146 | + | 0.432738i | ||||
\(456\) | −0.849791 | − | 1.71681i | −0.0397951 | − | 0.0803969i | ||||
\(457\) | −7.29165 | + | 4.87212i | −0.341089 | + | 0.227908i | −0.714302 | − | 0.699837i | \(-0.753256\pi\) |
0.373214 | + | 0.927745i | \(0.378256\pi\) | |||||||
\(458\) | −3.81138 | + | 5.57748i | −0.178094 | + | 0.260619i | ||||
\(459\) | 0.377197 | − | 1.24345i | 0.0176060 | − | 0.0580394i | ||||
\(460\) | 17.8796 | + | 15.3076i | 0.833639 | + | 0.713722i | ||||
\(461\) | 2.03479 | + | 2.47940i | 0.0947697 | + | 0.115477i | 0.818236 | − | 0.574883i | \(-0.194952\pi\) |
−0.723466 | + | 0.690360i | \(0.757452\pi\) | |||||||
\(462\) | 2.79653 | − | 5.10336i | 0.130106 | − | 0.237430i | ||||
\(463\) | −6.41839 | − | 15.4954i | −0.298288 | − | 0.720130i | −0.999971 | − | 0.00764102i | \(-0.997568\pi\) |
0.701683 | − | 0.712489i | \(-0.252432\pi\) | |||||||
\(464\) | 10.6446 | + | 14.1322i | 0.494165 | + | 0.656069i | ||||
\(465\) | 5.08904 | − | 12.2860i | 0.235999 | − | 0.569751i | ||||
\(466\) | −24.4484 | − | 30.4314i | −1.13255 | − | 1.40971i | ||||
\(467\) | 25.8069 | + | 2.54176i | 1.19420 | + | 0.117618i | 0.675515 | − | 0.737346i | \(-0.263921\pi\) |
0.518686 | + | 0.854965i | \(0.326421\pi\) | |||||||
\(468\) | 0.541335 | − | 4.52728i | 0.0250232 | − | 0.209274i | ||||
\(469\) | 8.17300 | − | 4.36856i | 0.377394 | − | 0.201721i | ||||
\(470\) | −7.22638 | + | 34.4502i | −0.333328 | + | 1.58907i | ||||
\(471\) | 4.19347 | − | 21.0820i | 0.193225 | − | 0.971408i | ||||
\(472\) | −23.0387 | + | 8.71002i | −1.06044 | + | 0.400911i | ||||
\(473\) | −8.13933 | + | 1.61901i | −0.374247 | + | 0.0744424i | ||||
\(474\) | 6.40117 | − | 6.26919i | 0.294016 | − | 0.287954i | ||||
\(475\) | −0.464599 | + | 0.0457591i | −0.0213173 | + | 0.00209957i | ||||
\(476\) | 3.82900 | − | 3.67270i | 0.175502 | − | 0.168338i | ||||
\(477\) | 4.70334 | − | 1.42674i | 0.215351 | − | 0.0653260i | ||||
\(478\) | 17.8587 | + | 34.2650i | 0.816837 | + | 1.56725i | ||||
\(479\) | 9.47205 | + | 9.47205i | 0.432789 | + | 0.432789i | 0.889576 | − | 0.456787i | \(-0.151000\pi\) |
−0.456787 | + | 0.889576i | \(0.651000\pi\) | |||||||
\(480\) | 13.4785 | − | 0.621737i | 0.615209 | − | 0.0283783i | ||||
\(481\) | −2.35109 | + | 2.35109i | −0.107201 | + | 0.107201i | ||||
\(482\) | 8.28864 | + | 2.60891i | 0.377537 | + | 0.118833i | ||||
\(483\) | 2.92405 | + | 9.63930i | 0.133049 | + | 0.438603i | ||||
\(484\) | 5.57563 | − | 12.7055i | 0.253438 | − | 0.577523i | ||||
\(485\) | 3.01509 | + | 30.6127i | 0.136908 | + | 1.39005i | ||||
\(486\) | 1.41414 | + | 0.0147301i | 0.0641466 | + | 0.000668169i | ||||
\(487\) | −3.13023 | − | 15.7367i | −0.141844 | − | 0.713099i | −0.984603 | − | 0.174807i | \(-0.944070\pi\) |
0.842758 | − | 0.538292i | \(-0.180930\pi\) | |||||||
\(488\) | 12.4531 | + | 19.9604i | 0.563725 | + | 0.903564i | ||||
\(489\) | 19.4719 | + | 3.87320i | 0.880550 | + | 0.175152i | ||||
\(490\) | 5.22429 | + | 7.99781i | 0.236010 | + | 0.361304i | ||||
\(491\) | 5.49651 | + | 10.2833i | 0.248054 | + | 0.464077i | 0.974876 | − | 0.222750i | \(-0.0715033\pi\) |
−0.726822 | + | 0.686826i | \(0.759003\pi\) | |||||||
\(492\) | −11.1297 | − | 6.25045i | −0.501767 | − | 0.281792i | ||||
\(493\) | −0.563348 | + | 5.71976i | −0.0253719 | + | 0.257605i | ||||
\(494\) | 0.236650 | − | 2.17071i | 0.0106474 | − | 0.0976650i | ||||
\(495\) | 4.44161 | + | 1.83977i | 0.199635 | + | 0.0826917i | ||||
\(496\) | −9.38503 | + | 20.2302i | −0.421400 | + | 0.908362i | ||||
\(497\) | −28.0927 | + | 11.6364i | −1.26013 | + | 0.521964i | ||||
\(498\) | −1.65774 | − | 5.67702i | −0.0742849 | − | 0.254394i | ||||
\(499\) | 15.7143 | − | 12.8964i | 0.703469 | − | 0.577322i | −0.213181 | − | 0.977013i | \(-0.568382\pi\) |
0.916650 | + | 0.399691i | \(0.130882\pi\) | |||||||
\(500\) | −6.37802 | + | 19.5499i | −0.285234 | + | 0.874297i | ||||
\(501\) | −16.6545 | − | 5.05208i | −0.744066 | − | 0.225710i | ||||
\(502\) | −1.18066 | + | 0.222089i | −0.0526953 | + | 0.00991233i | ||||
\(503\) | 7.61772 | + | 11.4007i | 0.339657 | + | 0.508333i | 0.961498 | − | 0.274810i | \(-0.0886151\pi\) |
−0.621841 | + | 0.783143i | \(0.713615\pi\) | |||||||
\(504\) | 5.00507 | + | 2.87983i | 0.222943 | + | 0.128278i | ||||
\(505\) | −23.4185 | − | 15.6478i | −1.04211 | − | 0.696316i | ||||
\(506\) | −5.24640 | − | 13.0487i | −0.233231 | − | 0.580086i | ||||
\(507\) | −4.94996 | + | 6.03154i | −0.219835 | + | 0.267870i | ||||
\(508\) | 4.68605 | + | 26.4237i | 0.207910 | + | 1.17236i | ||||
\(509\) | 13.2481 | + | 7.08127i | 0.587213 | + | 0.313872i | 0.738113 | − | 0.674677i | \(-0.235717\pi\) |
−0.150900 | + | 0.988549i | \(0.548217\pi\) | |||||||
\(510\) | 3.35909 | + | 2.81580i | 0.148743 | + | 0.124686i | ||||
\(511\) | −14.7753 | −0.653619 | ||||||||
\(512\) | −22.6272 | + | 0.100274i | −0.999990 | + | 0.00443154i | ||||
\(513\) | 0.677271 | 0.0299023 | ||||||||
\(514\) | −18.4327 | − | 15.4515i | −0.813034 | − | 0.681534i | ||||
\(515\) | 11.5959 | + | 6.19815i | 0.510978 | + | 0.273123i | ||||
\(516\) | −1.43793 | − | 8.10823i | −0.0633015 | − | 0.356945i | ||||
\(517\) | 13.3429 | − | 16.2584i | 0.586821 | − | 0.715043i | ||||
\(518\) | −1.57083 | − | 3.90693i | −0.0690183 | − | 0.171661i | ||||
\(519\) | 1.78359 | + | 1.19175i | 0.0782908 | + | 0.0523122i | ||||
\(520\) | 13.3311 | + | 7.67047i | 0.584607 | + | 0.336372i | ||||
\(521\) | 20.9054 | + | 31.2872i | 0.915884 | + | 1.37072i | 0.928713 | + | 0.370800i | \(0.120916\pi\) |
−0.0128285 | + | 0.999918i | \(0.504084\pi\) | |||||||
\(522\) | −6.14744 | + | 1.15637i | −0.269066 | + | 0.0506131i | ||||
\(523\) | −28.9348 | − | 8.77727i | −1.26523 | − | 0.383803i | −0.414810 | − | 0.909908i | \(-0.636152\pi\) |
−0.850420 | + | 0.526105i | \(0.823652\pi\) | |||||||
\(524\) | 10.9382 | − | 33.5277i | 0.477837 | − | 1.46467i | ||||
\(525\) | 1.08783 | − | 0.892761i | 0.0474769 | − | 0.0389633i | ||||
\(526\) | −3.65605 | − | 12.5204i | −0.159411 | − | 0.545915i | ||||
\(527\) | −6.69308 | + | 2.77236i | −0.291555 | + | 0.120766i | ||||
\(528\) | −7.31355 | − | 3.39285i | −0.318282 | − | 0.147655i | ||||
\(529\) | 1.24170 | + | 0.514328i | 0.0539869 | + | 0.0223621i | ||||
\(530\) | −1.79682 | + | 16.4816i | −0.0780489 | + | 0.715916i | ||||
\(531\) | 0.853541 | − | 8.66614i | 0.0370405 | − | 0.376079i | ||||
\(532\) | 2.41118 | + | 1.35412i | 0.104538 | + | 0.0587085i | ||||
\(533\) | −6.85898 | − | 12.8322i | −0.297095 | − | 0.555826i | ||||
\(534\) | 7.96162 | + | 12.1883i | 0.344533 | + | 0.527441i | ||||
\(535\) | −5.59130 | − | 1.11218i | −0.241733 | − | 0.0480837i | ||||
\(536\) | −6.79597 | − | 10.8929i | −0.293541 | − | 0.470501i | ||||
\(537\) | −1.63897 | − | 8.23965i | −0.0707267 | − | 0.355567i | ||||
\(538\) | −1.15231 | − | 0.0120028i | −0.0496795 | − | 0.000517476i | ||||
\(539\) | −0.559485 | − | 5.68054i | −0.0240987 | − | 0.244678i | ||||
\(540\) | −1.91698 | + | 4.36834i | −0.0824938 | + | 0.187983i | ||||
\(541\) | −0.412556 | − | 1.36002i | −0.0177372 | − | 0.0584716i | 0.947625 | − | 0.319385i | \(-0.103476\pi\) |
−0.965362 | + | 0.260913i | \(0.915976\pi\) | |||||||
\(542\) | 14.3328 | + | 4.51135i | 0.615646 | + | 0.193779i | ||||
\(543\) | 6.93595 | − | 6.93595i | 0.297650 | − | 0.297650i | ||||
\(544\) | −5.43159 | − | 4.95259i | −0.232878 | − | 0.212341i | ||||
\(545\) | 28.5344 | + | 28.5344i | 1.22228 | + | 1.22228i | ||||
\(546\) | 3.04219 | + | 5.83697i | 0.130194 | + | 0.249799i | ||||
\(547\) | 30.1818 | − | 9.15554i | 1.29048 | − | 0.391462i | 0.430869 | − | 0.902414i | \(-0.358207\pi\) |
0.859609 | + | 0.510952i | \(0.170707\pi\) | |||||||
\(548\) | 9.55735 | − | 9.16722i | 0.408270 | − | 0.391604i | ||||
\(549\) | −8.27782 | + | 0.815295i | −0.353289 | + | 0.0347959i | ||||
\(550\) | −1.40373 | + | 1.37479i | −0.0598553 | + | 0.0586212i | ||||
\(551\) | −2.93810 | + | 0.584425i | −0.125167 | + | 0.0248973i | ||||
\(552\) | 13.0536 | − | 4.93506i | 0.555599 | − | 0.210050i | ||||
\(553\) | −2.52338 | + | 12.6859i | −0.107305 | + | 0.539459i | ||||
\(554\) | −5.86461 | + | 27.9582i | −0.249164 | + | 1.18783i | ||||
\(555\) | 3.06799 | − | 1.63988i | 0.130229 | − | 0.0696088i | ||||
\(556\) | 2.94492 | − | 24.6289i | 0.124892 | − | 1.04450i | ||||
\(557\) | −21.2870 | − | 2.09659i | −0.901960 | − | 0.0888353i | −0.363605 | − | 0.931553i | \(-0.618454\pi\) |
−0.538355 | + | 0.842718i | \(0.680954\pi\) | |||||||
\(558\) | −4.93820 | − | 6.14667i | −0.209051 | − | 0.260209i | ||||
\(559\) | 3.59211 | − | 8.67213i | 0.151930 | − | 0.366792i | ||||
\(560\) | −15.5587 | + | 11.7191i | −0.657473 | + | 0.495223i | ||||
\(561\) | −1.00226 | − | 2.41966i | −0.0423153 | − | 0.102158i | ||||
\(562\) | 8.10470 | − | 14.7902i | 0.341876 | − | 0.623886i | ||||
\(563\) | −10.6132 | − | 12.9322i | −0.447292 | − | 0.545027i | 0.499736 | − | 0.866178i | \(-0.333430\pi\) |
−0.947028 | + | 0.321151i | \(0.895930\pi\) | |||||||
\(564\) | 15.8536 | + | 13.5731i | 0.667558 | + | 0.571531i | ||||
\(565\) | −11.7277 | + | 38.6611i | −0.493388 | + | 1.62648i | ||||
\(566\) | 13.9441 | − | 20.4054i | 0.586113 | − | 0.857705i | ||||
\(567\) | −1.69750 | + | 1.13424i | −0.0712885 | + | 0.0476334i | ||||
\(568\) | 18.6880 | + | 37.7549i | 0.784132 | + | 1.58416i | ||||
\(569\) | 4.05247 | − | 6.06495i | 0.169888 | − | 0.254256i | −0.736749 | − | 0.676166i | \(-0.763640\pi\) |
0.906638 | + | 0.421910i | \(0.138640\pi\) | |||||||
\(570\) | −0.896210 | + | 2.10146i | −0.0375381 | + | 0.0880205i | ||||
\(571\) | 19.2534 | + | 15.8008i | 0.805729 | + | 0.661245i | 0.944292 | − | 0.329109i | \(-0.106748\pi\) |
−0.138563 | + | 0.990354i | \(0.544248\pi\) | |||||||
\(572\) | −4.94541 | − | 7.74590i | −0.206778 | − | 0.323872i | ||||
\(573\) | −1.25607 | + | 2.34994i | −0.0524730 | + | 0.0981700i | ||||
\(574\) | 18.3564 | − | 1.61508i | 0.766181 | − | 0.0674123i | ||||
\(575\) | − | 3.40101i | − | 0.141832i | ||||||
\(576\) | 3.51710 | − | 7.18540i | 0.146546 | − | 0.299392i | ||||
\(577\) | − | 37.5944i | − | 1.56507i | −0.622604 | − | 0.782537i | \(-0.713925\pi\) | ||
0.622604 | − | 0.782537i | \(-0.286075\pi\) | |||||||
\(578\) | 1.89787 | + | 21.5705i | 0.0789412 | + | 0.897213i | ||||
\(579\) | −2.78076 | + | 5.20243i | −0.115564 | + | 0.216206i | ||||
\(580\) | 4.54667 | − | 20.6047i | 0.188790 | − | 0.855563i | ||||
\(581\) | 6.59970 | + | 5.41624i | 0.273802 | + | 0.224703i | ||||
\(582\) | 16.7763 | + | 7.15461i | 0.695402 | + | 0.296568i | ||||
\(583\) | 5.50371 | − | 8.23688i | 0.227940 | − | 0.341137i | ||||
\(584\) | 1.36897 | + | 20.4241i | 0.0566483 | + | 0.845154i | ||||
\(585\) | −4.52133 | + | 3.02106i | −0.186934 | + | 0.124905i | ||||
\(586\) | 1.18409 | + | 0.809149i | 0.0489143 | + | 0.0334256i | ||||
\(587\) | −3.43548 | + | 11.3253i | −0.141797 | + | 0.467443i | −0.998858 | − | 0.0477719i | \(-0.984788\pi\) |
0.857061 | + | 0.515215i | \(0.172288\pi\) | |||||||
\(588\) | 5.64704 | − | 0.437632i | 0.232880 | − | 0.0180476i | ||||
\(589\) | −2.39545 | − | 2.91887i | −0.0987029 | − | 0.120270i | ||||
\(590\) | 25.7601 | + | 14.1160i | 1.06053 | + | 0.581147i | ||||
\(591\) | −4.56217 | − | 11.0141i | −0.187663 | − | 0.453058i | ||||
\(592\) | −5.25507 | + | 2.53337i | −0.215982 | + | 0.104121i | ||||
\(593\) | 9.66916 | − | 23.3434i | 0.397065 | − | 0.958599i | −0.591294 | − | 0.806456i | \(-0.701383\pi\) |
0.988359 | − | 0.152143i | \(-0.0486173\pi\) | |||||||
\(594\) | 2.22213 | − | 1.78524i | 0.0911749 | − | 0.0732494i | ||||
\(595\) | −6.29712 | − | 0.620212i | −0.258157 | − | 0.0254262i | ||||
\(596\) | 21.9263 | − | 17.2428i | 0.898134 | − | 0.706291i | ||||
\(597\) | 5.31568 | − | 2.84129i | 0.217556 | − | 0.116286i | ||||
\(598\) | 15.5686 | + | 3.26573i | 0.636649 | + | 0.133546i | ||||
\(599\) | 0.831567 | − | 4.18057i | 0.0339769 | − | 0.170813i | −0.960071 | − | 0.279756i | \(-0.909746\pi\) |
0.994048 | + | 0.108943i | \(0.0347465\pi\) | |||||||
\(600\) | −1.33487 | − | 1.42101i | −0.0544958 | − | 0.0580125i | ||||
\(601\) | −22.9442 | + | 4.56389i | −0.935914 | + | 0.186165i | −0.639410 | − | 0.768866i | \(-0.720821\pi\) |
−0.296505 | + | 0.955031i | \(0.595821\pi\) | |||||||
\(602\) | 8.31790 | + | 8.49300i | 0.339012 | + | 0.346149i | ||||
\(603\) | 4.51742 | − | 0.444927i | 0.183964 | − | 0.0181188i | ||||
\(604\) | −0.838498 | + | 40.2450i | −0.0341180 | + | 1.63755i | ||||
\(605\) | −15.8351 | + | 4.80351i | −0.643786 | + | 0.195290i | ||||
\(606\) | −14.8087 | + | 7.71818i | −0.601561 | + | 0.313530i | ||||
\(607\) | −13.0111 | − | 13.0111i | −0.528104 | − | 0.528104i | 0.391902 | − | 0.920007i | \(-0.371817\pi\) |
−0.920007 | + | 0.391902i | \(0.871817\pi\) | |||||||
\(608\) | 1.64842 | − | 3.45847i | 0.0668521 | − | 0.140259i | ||||
\(609\) | 6.38528 | − | 6.38528i | 0.258745 | − | 0.258745i | ||||
\(610\) | 8.42404 | − | 26.7636i | 0.341079 | − | 1.08363i | ||||
\(611\) | 6.90576 | + | 22.7652i | 0.279377 | + | 0.920983i | ||||
\(612\) | 2.42118 | − | 0.944291i | 0.0978704 | − | 0.0381707i | ||||
\(613\) | 0.0488905 | + | 0.496393i | 0.00197467 | + | 0.0200491i | 0.996122 | − | 0.0879876i | \(-0.0280436\pi\) |
−0.994147 | + | 0.108037i | \(0.965544\pi\) | |||||||
\(614\) | 0.00131193 | − | 0.125949i | 5.29450e−5 | − | 0.00508291i | ||||
\(615\) | 2.96994 | + | 14.9309i | 0.119760 | + | 0.602072i | ||||
\(616\) | 11.4804 | − | 1.91285i | 0.462560 | − | 0.0770710i | ||||
\(617\) | 8.14754 | + | 1.62065i | 0.328008 | + | 0.0652448i | 0.356347 | − | 0.934354i | \(-0.384022\pi\) |
−0.0283396 | + | 0.999598i | \(0.509022\pi\) | |||||||
\(618\) | 6.52674 | − | 4.26337i | 0.262544 | − | 0.171498i | ||||
\(619\) | −22.3380 | − | 41.7914i | −0.897840 | − | 1.67974i | −0.717999 | − | 0.696044i | \(-0.754942\pi\) |
−0.179841 | − | 0.983696i | \(-0.557558\pi\) | |||||||
\(620\) | 25.6067 | − | 7.18875i | 1.02839 | − | 0.288707i | ||||
\(621\) | −0.483613 | + | 4.91021i | −0.0194067 | + | 0.197040i | ||||
\(622\) | 21.8806 | + | 2.38541i | 0.877331 | + | 0.0956462i | ||||
\(623\) | −19.4167 | − | 8.04264i | −0.777912 | − | 0.322222i | ||||
\(624\) | 7.78666 | − | 4.74607i | 0.311716 | − | 0.189995i | ||||
\(625\) | 25.8422 | − | 10.7042i | 1.03369 | − | 0.428167i | ||||
\(626\) | −36.6588 | + | 10.7046i | −1.46518 | + | 0.427844i | ||||
\(627\) | 1.05522 | − | 0.865997i | 0.0421414 | − | 0.0345846i | ||||
\(628\) | 38.3278 | − | 19.4712i | 1.52944 | − | 0.776987i | ||||
\(629\) | −1.81353 | − | 0.550127i | −0.0723100 | − | 0.0219350i | ||||
\(630\) | −1.27310 | − | 6.76797i | −0.0507214 | − | 0.269642i | ||||
\(631\) | 4.23687 | + | 6.34093i | 0.168667 | + | 0.252428i | 0.906168 | − | 0.422918i | \(-0.138994\pi\) |
−0.737501 | + | 0.675346i | \(0.763994\pi\) | |||||||
\(632\) | 17.7697 | + | 2.31273i | 0.706841 | + | 0.0919953i | ||||
\(633\) | −3.25142 | − | 2.17253i | −0.129232 | − | 0.0863504i | ||||
\(634\) | −33.0091 | + | 13.2717i | −1.31096 | + | 0.527088i | ||||
\(635\) | 20.3037 | − | 24.7402i | 0.805730 | − | 0.981784i | ||||
\(636\) | 8.05777 | + | 5.63029i | 0.319511 | + | 0.223256i | ||||
\(637\) | 5.69392 | + | 3.04346i | 0.225601 | + | 0.120586i | ||||
\(638\) | −8.09940 | + | 9.66215i | −0.320658 | + | 0.382528i | ||||
\(639\) | −14.8941 | −0.589201 | ||||||||
\(640\) | 17.6411 | + | 20.4212i | 0.697324 | + | 0.807217i | ||||
\(641\) | −29.3557 | −1.15948 | −0.579740 | − | 0.814801i | \(-0.696846\pi\) | ||||
−0.579740 | + | 0.814801i | \(0.696846\pi\) | |||||||
\(642\) | −2.17138 | + | 2.59034i | −0.0856977 | + | 0.102233i | ||||
\(643\) | −8.03090 | − | 4.29260i | −0.316708 | − | 0.169284i | 0.305382 | − | 0.952230i | \(-0.401216\pi\) |
−0.622089 | + | 0.782946i | \(0.713716\pi\) | |||||||
\(644\) | −11.5391 | + | 16.5141i | −0.454703 | + | 0.650746i | ||||
\(645\) | −6.23029 | + | 7.59163i | −0.245317 | + | 0.298920i | ||||
\(646\) | 1.15474 | − | 0.464277i | 0.0454325 | − | 0.0182667i | ||||
\(647\) | 25.8065 | + | 17.2434i | 1.01456 | + | 0.677907i | 0.947471 | − | 0.319840i | \(-0.103629\pi\) |
0.0670877 | + | 0.997747i | \(0.478629\pi\) | |||||||
\(648\) | 1.72515 | + | 2.24140i | 0.0677703 | + | 0.0880504i | ||||
\(649\) | −9.75116 | − | 14.5936i | −0.382766 | − | 0.572850i | ||||
\(650\) | −0.410838 | − | 2.18407i | −0.0161144 | − | 0.0856663i | ||||
\(651\) | 10.8922 | + | 3.30411i | 0.426899 | + | 0.129498i | ||||
\(652\) | 17.9841 | + | 35.4005i | 0.704313 | + | 1.38639i | ||||
\(653\) | 8.72044 | − | 7.15668i | 0.341257 | − | 0.280062i | −0.448117 | − | 0.893975i | \(-0.647905\pi\) |
0.789374 | + | 0.613912i | \(0.210405\pi\) | |||||||
\(654\) | 22.9668 | − | 6.70649i | 0.898074 | − | 0.262245i | ||||
\(655\) | −38.8581 | + | 16.0956i | −1.51831 | + | 0.628906i | ||||
\(656\) | −3.93332 | − | 25.2247i | −0.153570 | − | 0.984858i | ||||
\(657\) | −6.68630 | − | 2.76956i | −0.260858 | − | 0.108051i | ||||
\(658\) | −29.9510 | − | 3.26524i | −1.16761 | − | 0.127292i | ||||
\(659\) | 0.0329596 | − | 0.334644i | 0.00128392 | − | 0.0130359i | −0.994521 | − | 0.104533i | \(-0.966665\pi\) |
0.995805 | + | 0.0914971i | \(0.0291652\pi\) | |||||||
\(660\) | 2.59885 | + | 9.25724i | 0.101160 | + | 0.360337i | ||||
\(661\) | −22.4908 | − | 42.0774i | −0.874793 | − | 1.63662i | −0.766262 | − | 0.642529i | \(-0.777885\pi\) |
−0.108531 | − | 0.994093i | \(-0.534615\pi\) | |||||||
\(662\) | 21.0561 | − | 13.7542i | 0.818369 | − | 0.534572i | ||||
\(663\) | 2.90542 | + | 0.577923i | 0.112837 | + | 0.0224447i | ||||
\(664\) | 6.87546 | − | 9.62470i | 0.266820 | − | 0.373511i | ||||
\(665\) | −0.643417 | − | 3.23468i | −0.0249507 | − | 0.125435i | ||||
\(666\) | 0.0214832 | − | 2.06246i | 0.000832457 | − | 0.0799188i | ||||
\(667\) | −2.13909 | − | 21.7185i | −0.0828258 | − | 0.840944i | ||||
\(668\) | −12.6476 | − | 32.4286i | −0.489350 | − | 1.25470i | ||||
\(669\) | 6.84212 | + | 22.5554i | 0.264532 | + | 0.872044i | ||||
\(670\) | −4.59721 | + | 14.6056i | −0.177606 | + | 0.564262i | ||||
\(671\) | −11.8548 | + | 11.8548i | −0.457648 | + | 0.457648i | ||||
\(672\) | 1.66038 | + | 11.4289i | 0.0640506 | + | 0.440879i | ||||
\(673\) | −0.279123 | − | 0.279123i | −0.0107594 | − | 0.0107594i | 0.701707 | − | 0.712466i | \(-0.252422\pi\) |
−0.712466 | + | 0.701707i | \(0.752422\pi\) | |||||||
\(674\) | 27.1153 | − | 14.1323i | 1.04444 | − | 0.544357i | ||||
\(675\) | 0.659625 | − | 0.200095i | 0.0253890 | − | 0.00770166i | ||||
\(676\) | −15.6019 | − | 0.325064i | −0.600075 | − | 0.0125025i | ||||
\(677\) | −7.67266 | + | 0.755691i | −0.294884 | + | 0.0290436i | −0.244378 | − | 0.969680i | \(-0.578584\pi\) |
−0.0505067 | + | 0.998724i | \(0.516084\pi\) | |||||||
\(678\) | 16.7605 | + | 17.1134i | 0.643685 | + | 0.657236i | ||||
\(679\) | −25.8230 | + | 5.13652i | −0.990996 | + | 0.197121i | ||||
\(680\) | −0.273884 | + | 8.76207i | −0.0105030 | + | 0.336010i | ||||
\(681\) | −5.83326 | + | 29.3258i | −0.223531 | + | 1.12377i | ||||
\(682\) | −15.5534 | − | 3.26254i | −0.595571 | − | 0.124929i | ||||
\(683\) | −29.0987 | + | 15.5536i | −1.11343 | + | 0.595142i | −0.922320 | − | 0.386426i | \(-0.873709\pi\) |
−0.191112 | + | 0.981568i | \(0.561209\pi\) | |||||||
\(684\) | 0.837315 | + | 1.06475i | 0.0320156 | + | 0.0407117i | ||||
\(685\) | −15.7179 | − | 1.54808i | −0.600550 | − | 0.0591490i | ||||
\(686\) | −22.1299 | + | 17.7790i | −0.844923 | + | 0.678807i | ||||
\(687\) | 1.82799 | − | 4.41315i | 0.0697421 | − | 0.168372i | ||||
\(688\) | 10.9693 | − | 12.2849i | 0.418202 | − | 0.468356i | ||||
\(689\) | 4.28797 | + | 10.3521i | 0.163358 | + | 0.394382i | ||||
\(690\) | −14.5956 | − | 7.99808i | −0.555645 | − | 0.304482i | ||||
\(691\) | 11.7794 | + | 14.3532i | 0.448108 | + | 0.546022i | 0.947249 | − | 0.320499i | \(-0.103851\pi\) |
−0.499140 | + | 0.866521i | \(0.666351\pi\) | |||||||
\(692\) | 0.331486 | + | 4.27738i | 0.0126012 | + | 0.162601i | ||||
\(693\) | −1.19449 | + | 3.93772i | −0.0453750 | + | 0.149581i | ||||
\(694\) | −20.7730 | − | 14.1953i | −0.788533 | − | 0.538845i | ||||
\(695\) | −24.5965 | + | 16.4349i | −0.932999 | + | 0.623410i | ||||
\(696\) | −9.41808 | − | 8.23486i | −0.356991 | − | 0.312141i | ||||
\(697\) | 4.60750 | − | 6.89561i | 0.174522 | − | 0.261190i | ||||
\(698\) | −25.9697 | − | 11.0753i | −0.982967 | − | 0.419206i | ||||
\(699\) | 21.3370 | + | 17.5108i | 0.807040 | + | 0.662321i | ||||
\(700\) | 2.74842 | + | 0.606471i | 0.103880 | + | 0.0229224i | ||||
\(701\) | 7.43403 | − | 13.9081i | 0.280780 | − | 0.525302i | −0.701513 | − | 0.712657i | \(-0.747492\pi\) |
0.982292 | + | 0.187355i | \(0.0599916\pi\) | |||||||
\(702\) | 0.282578 | + | 3.21167i | 0.0106652 | + | 0.121217i | ||||
\(703\) | − | 0.987774i | − | 0.0372546i | ||||||
\(704\) | −3.70786 | − | 15.6923i | −0.139745 | − | 0.591428i | ||||
\(705\) | − | 24.8901i | − | 0.937416i | ||||||
\(706\) | −10.1950 | + | 0.897008i | −0.383695 | + | 0.0337593i | ||||
\(707\) | 11.3641 | − | 21.2607i | 0.427391 | − | 0.799592i | ||||
\(708\) | 14.6794 | − | 9.37215i | 0.551686 | − | 0.352227i | ||||
\(709\) | 33.3091 | + | 27.3361i | 1.25095 | + | 1.02663i | 0.998253 | + | 0.0590830i | \(0.0188177\pi\) |
0.252697 | + | 0.967545i | \(0.418682\pi\) | |||||||
\(710\) | 19.7088 | − | 46.2139i | 0.739660 | − | 1.73438i | ||||
\(711\) | −3.51983 | + | 5.26780i | −0.132004 | + | 0.197558i | ||||
\(712\) | −9.31846 | + | 27.5851i | −0.349224 | + | 1.03380i | ||||
\(713\) | 22.8722 | − | 15.2827i | 0.856572 | − | 0.572343i | ||||
\(714\) | −2.11669 | + | 3.09751i | −0.0792151 | + | 0.115922i | ||||
\(715\) | −3.18155 | + | 10.4882i | −0.118983 | + | 0.392235i | ||||
\(716\) | 10.9274 | − | 12.7634i | 0.408377 | − | 0.476990i | ||||
\(717\) | −17.3331 | − | 21.1205i | −0.647318 | − | 0.788759i | ||||
\(718\) | 6.43978 | − | 11.7519i | 0.240330 | − | 0.438576i | ||||
\(719\) | −2.98195 | − | 7.19908i | −0.111208 | − | 0.268480i | 0.858471 | − | 0.512862i | \(-0.171415\pi\) |
−0.969679 | + | 0.244382i | \(0.921415\pi\) | |||||||
\(720\) | −9.23751 | + | 2.38689i | −0.344262 | + | 0.0889543i | ||||
\(721\) | −4.30676 | + | 10.3974i | −0.160392 | + | 0.387221i | ||||
\(722\) | −16.4226 | − | 20.4416i | −0.611187 | − | 0.760756i | ||||
\(723\) | −6.11484 | − | 0.602259i | −0.227413 | − | 0.0223983i | ||||
\(724\) | 19.4791 | + | 2.32915i | 0.723934 | + | 0.0865620i | ||||
\(725\) | −2.68889 | + | 1.43724i | −0.0998627 | + | 0.0533777i | ||||
\(726\) | −2.01418 | + | 9.60218i | −0.0747534 | + | 0.356370i | ||||
\(727\) | 6.69139 | − | 33.6399i | 0.248170 | − | 1.24763i | −0.632745 | − | 0.774360i | \(-0.718072\pi\) |
0.880915 | − | 0.473274i | \(-0.156928\pi\) | |||||||
\(728\) | −5.41531 | + | 11.9990i | −0.200705 | + | 0.444711i | ||||
\(729\) | −0.980785 | + | 0.195090i | −0.0363254 | + | 0.00722557i | ||||
\(730\) | 17.4412 | − | 17.0816i | 0.645529 | − | 0.632220i | ||||
\(731\) | 5.32436 | − | 0.524404i | 0.196929 | − | 0.0193958i | ||||
\(732\) | −11.5157 | − | 12.0057i | −0.425631 | − | 0.443745i | ||||
\(733\) | −22.6194 | + | 6.86151i | −0.835466 | + | 0.253436i | −0.678899 | − | 0.734232i | \(-0.737543\pi\) |
−0.156567 | + | 0.987667i | \(0.550043\pi\) | |||||||
\(734\) | −9.07021 | − | 17.4028i | −0.334788 | − | 0.642348i | ||||
\(735\) | −4.77646 | − | 4.77646i | −0.176182 | − | 0.176182i | ||||
\(736\) | 23.8968 | + | 14.4205i | 0.880847 | + | 0.531548i | ||||
\(737\) | 6.46944 | − | 6.46944i | 0.238305 | − | 0.238305i | ||||
\(738\) | 8.60962 | + | 2.70994i | 0.316925 | + | 0.0997544i | ||||
\(739\) | −2.93218 | − | 9.66611i | −0.107862 | − | 0.355574i | 0.886349 | − | 0.463018i | \(-0.153233\pi\) |
−0.994211 | + | 0.107444i | \(0.965733\pi\) | |||||||
\(740\) | 6.37105 | + | 2.79584i | 0.234205 | + | 0.102777i | ||||
\(741\) | 0.151340 | + | 1.53659i | 0.00555963 | + | 0.0564479i | ||||
\(742\) | −14.1898 | − | 0.147805i | −0.520925 | − | 0.00542611i | ||||
\(743\) | −4.87900 | − | 24.5284i | −0.178993 | − | 0.899860i | −0.960991 | − | 0.276579i | \(-0.910799\pi\) |
0.781998 | − | 0.623281i | \(-0.214201\pi\) | |||||||
\(744\) | 3.55814 | − | 15.3626i | 0.130448 | − | 0.563220i | ||||
\(745\) | −32.6275 | − | 6.49001i | −1.19538 | − | 0.237776i | ||||
\(746\) | −14.2355 | − | 21.7929i | −0.521198 | − | 0.797896i | ||||
\(747\) | 1.97134 | + | 3.68811i | 0.0721275 | + | 0.134941i | ||||
\(748\) | 2.56489 | − | 4.56710i | 0.0937816 | − | 0.166990i | ||||
\(749\) | 0.478273 | − | 4.85598i | 0.0174757 | − | 0.177434i | ||||
\(750\) | 1.57591 | − | 14.4553i | 0.0575440 | − | 0.527832i | ||||
\(751\) | 28.4472 | + | 11.7832i | 1.03805 | + | 0.429976i | 0.835613 | − | 0.549319i | \(-0.185113\pi\) |
0.202441 | + | 0.979295i | \(0.435113\pi\) | |||||||
\(752\) | −1.73856 | + | 41.7042i | −0.0633986 | + | 1.52080i | ||||
\(753\) | 0.784829 | − | 0.325087i | 0.0286008 | − | 0.0118468i | ||||
\(754\) | −3.99725 | − | 13.6889i | −0.145571 | − | 0.498519i | ||||
\(755\) | 37.1100 | − | 30.4554i | 1.35057 | − | 1.10839i | ||||
\(756\) | −3.88179 | − | 1.26641i | −0.141179 | − | 0.0460588i | ||||
\(757\) | −15.5544 | − | 4.71838i | −0.565335 | − | 0.171493i | −0.00533603 | − | 0.999986i | \(-0.501699\pi\) |
−0.559999 | + | 0.828493i | \(0.689199\pi\) | |||||||
\(758\) | −16.6100 | + | 3.12445i | −0.603303 | + | 0.113485i | ||||
\(759\) | 5.52497 | + | 8.26870i | 0.200544 | + | 0.300135i | ||||
\(760\) | −4.41173 | + | 1.18911i | −0.160030 | + | 0.0431334i | ||||
\(761\) | 29.5964 | + | 19.7757i | 1.07287 | + | 0.716867i | 0.960914 | − | 0.276846i | \(-0.0892892\pi\) |
0.111953 | + | 0.993713i | \(0.464289\pi\) | |||||||
\(762\) | −7.07878 | − | 17.6062i | −0.256437 | − | 0.637804i | ||||
\(763\) | −21.9118 | + | 26.6996i | −0.793260 | + | 0.966590i | ||||
\(764\) | −5.24726 | + | 0.930562i | −0.189839 | + | 0.0336666i | ||||
\(765\) | −2.73340 | − | 1.46103i | −0.0988264 | − | 0.0528238i | ||||
\(766\) | −9.58490 | − | 8.03465i | −0.346317 | − | 0.290304i | ||||
\(767\) | 19.8524 | 0.716828 | ||||||||
\(768\) | 15.6445 | − | 3.35409i | 0.564522 | − | 0.121030i | ||||
\(769\) | 43.6197 | 1.57297 | 0.786484 | − | 0.617611i | \(-0.211899\pi\) | ||||
0.786484 | + | 0.617611i | \(0.211899\pi\) | |||||||
\(770\) | −10.6374 | − | 8.91696i | −0.383347 | − | 0.321345i | ||||
\(771\) | 14.9993 | + | 8.01730i | 0.540187 | + | 0.288736i | ||||
\(772\) | −11.6167 | + | 2.06013i | −0.418094 | + | 0.0741458i | ||||
\(773\) | −24.3449 | + | 29.6643i | −0.875624 | + | 1.06695i | 0.121607 | + | 0.992578i | \(0.461195\pi\) |
−0.997231 | + | 0.0743725i | \(0.976305\pi\) | |||||||
\(774\) | 2.17215 | + | 5.40252i | 0.0780764 | + | 0.194190i | ||||
\(775\) | −3.19540 | − | 2.13510i | −0.114782 | − | 0.0766950i | ||||
\(776\) | 9.49285 | + | 35.2196i | 0.340774 | + | 1.26431i | ||||
\(777\) | 1.65424 | + | 2.47574i | 0.0593455 | + | 0.0888168i | ||||
\(778\) | −4.62453 | + | 0.869904i | −0.165798 | + | 0.0311876i | ||||
\(779\) | 4.13647 | + | 1.25478i | 0.148204 | + | 0.0449573i | ||||
\(780\) | −10.3392 | − | 3.37310i | −0.370203 | − | 0.120776i | ||||
\(781\) | −23.2057 | + | 19.0444i | −0.830365 | + | 0.681463i | ||||
\(782\) | 2.54145 | + | 8.70335i | 0.0908819 | + | 0.311231i | ||||
\(783\) | 4.08645 | − | 1.69266i | 0.146038 | − | 0.0604908i | ||||
\(784\) | 7.66948 | + | 8.33675i | 0.273910 | + | 0.297741i | ||||
\(785\) | −47.3678 | − | 19.6204i | −1.69063 | − | 0.700282i | ||||
\(786\) | −2.70265 | + | 24.7906i | −0.0964005 | + | 0.884250i | ||||
\(787\) | 0.0902298 | − | 0.916118i | 0.00321634 | − | 0.0326561i | −0.993443 | − | 0.114332i | \(-0.963527\pi\) |
0.996659 | + | 0.0816759i | \(0.0260272\pi\) | |||||||
\(788\) | 11.6751 | − | 20.7890i | 0.415909 | − | 0.740578i | ||||
\(789\) | 4.34769 | + | 8.13395i | 0.154782 | + | 0.289576i | ||||
\(790\) | −11.6874 | − | 17.8921i | −0.415820 | − | 0.636574i | ||||
\(791\) | −33.9155 | − | 6.74620i | −1.20589 | − | 0.239867i | ||||
\(792\) | 5.55384 | + | 1.28633i | 0.197347 | + | 0.0457076i | ||||
\(793\) | −3.69946 | − | 18.5985i | −0.131372 | − | 0.660450i | ||||
\(794\) | 29.7707 | + | 0.310100i | 1.05652 | + | 0.0110050i | ||||
\(795\) | −1.14909 | − | 11.6669i | −0.0407539 | − | 0.413781i | ||||
\(796\) | 11.0387 | + | 4.84415i | 0.391255 | + | 0.171696i | ||||
\(797\) | −12.9359 | − | 42.6440i | −0.458213 | − | 1.51053i | −0.816739 | − | 0.577007i | \(-0.804221\pi\) |
0.358526 | − | 0.933520i | \(-0.383279\pi\) | |||||||
\(798\) | −1.86522 | − | 0.587091i | −0.0660279 | − | 0.0207828i | ||||
\(799\) | −9.58796 | + | 9.58796i | −0.339198 | + | 0.339198i | ||||
\(800\) | 0.583685 | − | 3.85537i | 0.0206364 | − | 0.136308i | ||||
\(801\) | −7.27913 | − | 7.27913i | −0.257195 | − | 0.257195i | ||||
\(802\) | 17.7787 | + | 34.1116i | 0.627789 | + | 1.20452i | ||||
\(803\) | −13.9589 | + | 4.23438i | −0.492598 | + | 0.149428i | ||||
\(804\) | 6.28440 | + | 6.55184i | 0.221634 | + | 0.231065i | ||||
\(805\) | 23.9108 | − | 2.35501i | 0.842745 | − | 0.0830031i | ||||
\(806\) | 12.8420 | − | 12.5773i | 0.452341 | − | 0.443015i | ||||
\(807\) | 0.799191 | − | 0.158969i | 0.0281329 | − | 0.00559597i | ||||
\(808\) | −30.4419 | − | 13.7389i | −1.07094 | − | 0.483333i | ||||
\(809\) | −8.59534 | + | 43.2117i | −0.302196 | + | 1.51924i | 0.469318 | + | 0.883029i | \(0.344500\pi\) |
−0.771514 | + | 0.636213i | \(0.780500\pi\) | |||||||
\(810\) | 0.692506 | − | 3.30137i | 0.0243322 | − | 0.115998i | ||||
\(811\) | −18.5732 | + | 9.92758i | −0.652193 | + | 0.348604i | −0.764085 | − | 0.645116i | \(-0.776809\pi\) |
0.111892 | + | 0.993720i | \(0.464309\pi\) | |||||||
\(812\) | 17.9326 | + | 2.14422i | 0.629309 | + | 0.0752475i | ||||
\(813\) | −10.5738 | − | 1.04143i | −0.370841 | − | 0.0365246i | ||||
\(814\) | −2.60371 | − | 3.24088i | −0.0912599 | − | 0.113593i | ||||
\(815\) | 18.1219 | − | 43.7501i | 0.634783 | − | 1.53250i | ||||
\(816\) | 4.47786 | + | 2.63894i | 0.156756 | + | 0.0923813i | ||||
\(817\) | 1.06714 | + | 2.57631i | 0.0373346 | + | 0.0901337i | ||||
\(818\) | −23.8543 | + | 43.5314i | −0.834046 | + | 1.52204i | ||||
\(819\) | −2.95266 | − | 3.59783i | −0.103174 | − | 0.125718i | ||||
\(820\) | −19.8013 | + | 23.1283i | −0.691492 | + | 0.807674i | ||||
\(821\) | −15.3279 | + | 50.5293i | −0.534947 | + | 1.76348i | 0.104366 | + | 0.994539i | \(0.466719\pi\) |
−0.639314 | + | 0.768946i | \(0.720781\pi\) | |||||||
\(822\) | −5.28335 | + | 7.73153i | −0.184278 | + | 0.269668i | ||||
\(823\) | 30.2327 | − | 20.2008i | 1.05385 | − | 0.704157i | 0.0971567 | − | 0.995269i | \(-0.469025\pi\) |
0.956689 | + | 0.291112i | \(0.0940252\pi\) | |||||||
\(824\) | 14.7716 | + | 4.98995i | 0.514592 | + | 0.173833i | ||||
\(825\) | 0.771874 | − | 1.15519i | 0.0268732 | − | 0.0402186i | ||||
\(826\) | −9.86289 | + | 23.1268i | −0.343174 | + | 0.804685i | ||||
\(827\) | 16.8271 | + | 13.8097i | 0.585136 | + | 0.480209i | 0.879769 | − | 0.475402i | \(-0.157697\pi\) |
−0.294633 | + | 0.955611i | \(0.595197\pi\) | |||||||
\(828\) | −8.31730 | + | 5.31023i | −0.289046 | + | 0.184543i | ||||
\(829\) | −6.70898 | + | 12.5516i | −0.233012 | + | 0.435936i | −0.971068 | − | 0.238805i | \(-0.923244\pi\) |
0.738055 | + | 0.674740i | \(0.235744\pi\) | |||||||
\(830\) | −14.0522 | + | 1.23638i | −0.487759 | + | 0.0429154i | ||||
\(831\) | − | 20.1997i | − | 0.700720i | ||||||
\(832\) | 17.0881 | + | 6.37393i | 0.592423 | + | 0.220976i | ||||
\(833\) | 3.67989i | 0.127501i | ||||||||
\(834\) | 1.53725 | + | 17.4718i | 0.0532308 | + | 0.604999i | ||||
\(835\) | −19.5687 | + | 36.6105i | −0.677203 | + | 1.26696i | ||||
\(836\) | 2.66602 | + | 0.588289i | 0.0922063 | + | 0.0203464i | ||||
\(837\) | 4.30975 | + | 3.53692i | 0.148967 | + | 0.122254i | ||||
\(838\) | 8.83406 | + | 3.76746i | 0.305167 | + | 0.130145i | ||||
\(839\) | 20.0792 | − | 30.0507i | 0.693212 | − | 1.03747i | −0.303208 | − | 0.952924i | \(-0.598058\pi\) |
0.996420 | − | 0.0845410i | \(-0.0269424\pi\) | |||||||
\(840\) | 9.06609 | − | 10.3687i | 0.312810 | − | 0.357756i | ||||
\(841\) | 7.84563 | − | 5.24228i | 0.270539 | − | 0.180768i | ||||
\(842\) | 5.74007 | + | 3.92248i | 0.197816 | + | 0.135178i | ||||
\(843\) | −3.46179 | + | 11.4120i | −0.119230 | + | 0.393050i | ||||
\(844\) | −0.604289 | − | 7.79753i | −0.0208005 | − | 0.268402i | ||||
\(845\) | 11.8068 | + | 14.3866i | 0.406165 | + | 0.494914i | ||||
\(846\) | −12.9418 | − | 7.09181i | −0.444947 | − | 0.243821i | ||||
\(847\) | −5.42012 | − | 13.0853i | −0.186238 | − | 0.449618i | ||||
\(848\) | 1.11041 | + | 19.6285i | 0.0381317 | + | 0.674046i | ||||
\(849\) | −6.68777 | + | 16.1457i | −0.229524 | + | 0.554119i | ||||
\(850\) | 0.987484 | − | 0.793339i | 0.0338704 | − | 0.0272113i | ||||
\(851\) | 7.16134 | + | 0.705331i | 0.245488 | + | 0.0241784i | ||||
\(852\) | −18.4137 | − | 23.4152i | −0.630842 | − | 0.802193i | ||||
\(853\) | −23.2329 | + | 12.4182i | −0.795479 | + | 0.425192i | −0.818474 | − | 0.574543i | \(-0.805180\pi\) |
0.0229954 | + | 0.999736i | \(0.492680\pi\) | |||||||
\(854\) | 23.5040 | + | 4.93028i | 0.804290 | + | 0.168711i | ||||
\(855\) | 0.315158 | − | 1.58441i | 0.0107782 | − | 0.0541855i | ||||
\(856\) | −6.75681 | − | 0.211204i | −0.230943 | − | 0.00721880i | ||||
\(857\) | −35.2751 | + | 7.01665i | −1.20497 | + | 0.239684i | −0.756429 | − | 0.654076i | \(-0.773058\pi\) |
−0.448545 | + | 0.893760i | \(0.648058\pi\) | |||||||
\(858\) | 4.54689 | + | 4.64261i | 0.155228 | + | 0.158496i | ||||
\(859\) | −0.611739 | + | 0.0602511i | −0.0208723 | + | 0.00205574i | −0.108448 | − | 0.994102i | \(-0.534588\pi\) |
0.0875756 | + | 0.996158i | \(0.472088\pi\) | |||||||
\(860\) | −19.6375 | − | 0.409143i | −0.669632 | − | 0.0139517i | ||||
\(861\) | −12.4690 | + | 3.78243i | −0.424943 | + | 0.128905i | ||||
\(862\) | −27.8173 | + | 14.4982i | −0.947461 | + | 0.493810i | ||||
\(863\) | 27.3085 | + | 27.3085i | 0.929592 | + | 0.929592i | 0.997679 | − | 0.0680869i | \(-0.0216895\pi\) |
−0.0680869 | + | 0.997679i | \(0.521690\pi\) | |||||||
\(864\) | −1.39092 | + | 5.48319i | −0.0473199 | + | 0.186542i | ||||
\(865\) | 3.61795 | − | 3.61795i | 0.123014 | − | 0.123014i | ||||
\(866\) | 15.8076 | − | 50.2214i | 0.537162 | − | 1.70659i | ||||
\(867\) | −4.44471 | − | 14.6522i | −0.150950 | − | 0.497616i | ||||
\(868\) | 8.27167 | + | 21.2087i | 0.280759 | + | 0.719870i | ||||
\(869\) | 1.25164 | + | 12.7081i | 0.0424590 | + | 0.431093i | ||||
\(870\) | −0.155405 | + | 14.9194i | −0.00526872 | + | 0.505815i | ||||
\(871\) | 2.01889 | + | 10.1497i | 0.0684075 | + | 0.343908i | ||||
\(872\) | 38.9374 | + | 27.8152i | 1.31859 | + | 0.941942i | ||||
\(873\) | −12.6486 | − | 2.51596i | −0.428090 | − | 0.0851524i | ||||
\(874\) | −3.95648 | + | 2.58443i | −0.133830 | + | 0.0874198i | ||||
\(875\) | 9.89528 | + | 18.5128i | 0.334521 | + | 0.625846i | ||||
\(876\) | −3.91226 | − | 13.9357i | −0.132183 | − | 0.470842i | ||||
\(877\) | −4.47122 | + | 45.3970i | −0.150982 | + | 1.53295i | 0.559261 | + | 0.828992i | \(0.311085\pi\) |
−0.710243 | + | 0.703957i | \(0.751415\pi\) | |||||||
\(878\) | 11.5641 | + | 1.26072i | 0.390270 | + | 0.0425471i | ||||
\(879\) | −0.936905 | − | 0.388079i | −0.0316010 | − | 0.0130896i | ||||
\(880\) | −11.3405 | + | 15.5305i | −0.382287 | + | 0.523533i | ||||
\(881\) | 11.2059 | − | 4.64162i | 0.377535 | − | 0.156380i | −0.185843 | − | 0.982579i | \(-0.559502\pi\) |
0.563378 | + | 0.826199i | \(0.309502\pi\) | |||||||
\(882\) | −3.84448 | + | 1.12262i | −0.129450 | + | 0.0378005i | ||||
\(883\) | 3.97853 | − | 3.26509i | 0.133888 | − | 0.109879i | −0.565066 | − | 0.825046i | \(-0.691149\pi\) |
0.698954 | + | 0.715167i | \(0.253649\pi\) | |||||||
\(884\) | 2.68343 | + | 5.28214i | 0.0902534 | + | 0.177658i | ||||
\(885\) | −19.8764 | − | 6.02943i | −0.668136 | − | 0.202677i | ||||
\(886\) | −7.12919 | − | 37.8998i | −0.239510 | − | 1.27327i | ||||
\(887\) | −9.32512 | − | 13.9560i | −0.313107 | − | 0.468598i | 0.641222 | − | 0.767355i | \(-0.278428\pi\) |
−0.954329 | + | 0.298758i | \(0.903428\pi\) | |||||||
\(888\) | 3.26899 | − | 2.51606i | 0.109700 | − | 0.0844336i | ||||
\(889\) | 22.7771 | + | 15.2192i | 0.763920 | + | 0.510435i | ||||
\(890\) | 32.2182 | − | 12.9537i | 1.07996 | − | 0.434209i | ||||
\(891\) | −1.27866 | + | 1.55805i | −0.0428366 | + | 0.0521965i | ||||
\(892\) | −27.0008 | + | 38.6421i | −0.904053 | + | 1.29383i | ||||
\(893\) | −6.23289 | − | 3.33155i | −0.208576 | − | 0.111486i | ||||
\(894\) | −12.6709 | + | 15.1157i | −0.423778 | + | 0.505545i | ||||
\(895\) | −20.0385 | −0.669812 | ||||||||
\(896\) | −15.9148 | + | 16.7399i | −0.531676 | + | 0.559242i | ||||
\(897\) | −11.2483 | −0.375569 | ||||||||
\(898\) | −18.5150 | + | 22.0874i | −0.617853 | + | 0.737066i | ||||
\(899\) | −21.7484 | − | 11.6247i | −0.725349 | − | 0.387707i | ||||
\(900\) | 1.13007 | + | 0.789627i | 0.0376690 | + | 0.0263209i | ||||
\(901\) | −4.05158 | + | 4.93686i | −0.134978 | + | 0.164471i | ||||
\(902\) | 16.8793 | − | 6.78652i | 0.562018 | − | 0.225967i | ||||
\(903\) | −6.98926 | − | 4.67007i | −0.232588 | − | 0.155410i | ||||
\(904\) | −6.18302 | + | 47.5069i | −0.205644 | + | 1.58006i | ||||
\(905\) | −12.9984 | − | 19.4535i | −0.432081 | − | 0.646655i | ||||
\(906\) | −5.26191 | − | 27.9731i | −0.174815 | − | 0.929343i | ||||
\(907\) | 42.2477 | + | 12.8157i | 1.40281 | + | 0.425538i | 0.898876 | − | 0.438203i | \(-0.144385\pi\) |
0.503935 | + | 0.863741i | \(0.331885\pi\) | |||||||
\(908\) | −53.3152 | + | 27.0851i | −1.76933 | + | 0.898851i | ||||
\(909\) | 9.12786 | − | 7.49104i | 0.302752 | − | 0.248462i | ||||
\(910\) | 15.0706 | − | 4.40074i | 0.499586 | − | 0.145883i | ||||
\(911\) | −32.9362 | + | 13.6426i | −1.09123 | + | 0.452001i | −0.854434 | − | 0.519560i | \(-0.826096\pi\) |
−0.236792 | + | 0.971560i | \(0.576096\pi\) | |||||||
\(912\) | −0.638727 | + | 2.63271i | −0.0211504 | + | 0.0871778i | ||||
\(913\) | 7.78726 | + | 3.22559i | 0.257721 | + | 0.106751i | ||||
\(914\) | 12.3290 | + | 1.34410i | 0.407808 | + | 0.0444590i | ||||
\(915\) | −1.94466 | + | 19.7445i | −0.0642886 | + | 0.652733i | ||||
\(916\) | 9.19793 | − | 2.58220i | 0.303908 | − | 0.0853185i | ||||
\(917\) | −16.9702 | − | 31.7491i | −0.560407 | − | 1.04845i | ||||
\(918\) | −1.53849 | + | 1.00496i | −0.0507777 | + | 0.0331688i | ||||
\(919\) | −3.79850 | − | 0.755568i | −0.125301 | − | 0.0249239i | 0.132041 | − | 0.991244i | \(-0.457847\pi\) |
−0.257342 | + | 0.966320i | \(0.582847\pi\) | |||||||
\(920\) | −5.47076 | − | 32.8340i | −0.180366 | − | 1.08251i | ||||
\(921\) | 0.0173756 | + | 0.0873532i | 0.000572547 | + | 0.00287839i | ||||
\(922\) | 0.0472461 | − | 4.53579i | 0.00155597 | − | 0.149378i | ||||
\(923\) | −3.32818 | − | 33.7916i | −0.109548 | − | 1.11226i | ||||
\(924\) | −7.66730 | + | 2.99035i | −0.252236 | + | 0.0983752i | ||||
\(925\) | −0.291831 | − | 0.962037i | −0.00959533 | − | 0.0316316i | ||||
\(926\) | −7.12138 | + | 22.6250i | −0.234023 | + | 0.743503i | ||||
\(927\) | −3.89790 | + | 3.89790i | −0.128024 | + | 0.128024i | ||||
\(928\) | 1.30250 | − | 24.9871i | 0.0427565 | − | 0.820242i | ||||
\(929\) | 9.45376 | + | 9.45376i | 0.310168 | + | 0.310168i | 0.844974 | − | 0.534807i | \(-0.179616\pi\) |
−0.534807 | + | 0.844974i | \(0.679616\pi\) | |||||||
\(930\) | −16.6774 | + | 8.69215i | −0.546874 | + | 0.285027i | ||||
\(931\) | −1.83543 | + | 0.556773i | −0.0601539 | + | 0.0182475i | ||||
\(932\) | −1.14994 | + | 55.1930i | −0.0376675 | + | 1.80791i | ||||
\(933\) | −15.4886 | + | 1.52550i | −0.507075 | + | 0.0499425i | ||||
\(934\) | −25.6603 | − | 26.2005i | −0.839629 | − | 0.857305i | ||||
\(935\) | −6.12693 | + | 1.21872i | −0.200372 | + | 0.0398564i | ||||
\(936\) | −4.69976 | + | 4.41485i | −0.153616 | + | 0.144304i | ||||
\(937\) | 5.07793 | − | 25.5285i | 0.165889 | − | 0.833979i | −0.804783 | − | 0.593569i | \(-0.797718\pi\) |
0.970672 | − | 0.240410i | \(-0.0772818\pi\) | |||||||
\(938\) | −12.8267 | − | 2.69058i | −0.418808 | − | 0.0878505i | ||||
\(939\) | 23.8156 | − | 12.7297i | 0.777192 | − | 0.415418i | ||||
\(940\) | 39.1301 | − | 30.7718i | 1.27628 | − | 1.00367i | ||||
\(941\) | −15.4426 | − | 1.52096i | −0.503413 | − | 0.0495819i | −0.156876 | − | 0.987618i | \(-0.550142\pi\) |
−0.346537 | + | 0.938036i | \(0.612642\pi\) | |||||||
\(942\) | −23.6980 | + | 19.0389i | −0.772123 | + | 0.620319i | ||||
\(943\) | −12.0509 | + | 29.0933i | −0.392430 | + | 0.947410i | ||||
\(944\) | 32.8824 | + | 11.4909i | 1.07023 | + | 0.373996i | ||||
\(945\) | 1.86352 | + | 4.49893i | 0.0606203 | + | 0.146350i | ||||
\(946\) | 10.2923 | + | 5.63994i | 0.334631 | + | 0.183370i | ||||
\(947\) | 24.6918 | + | 30.0871i | 0.802377 | + | 0.977699i | 0.999997 | − | 0.00257934i | \(-0.000821032\pi\) |
−0.197619 | + | 0.980279i | \(0.563321\pi\) | |||||||
\(948\) | −12.6332 | + | 0.979040i | −0.410306 | + | 0.0317977i | ||||
\(949\) | 4.78944 | − | 15.7887i | 0.155472 | − | 0.512522i | ||||
\(950\) | 0.545104 | + | 0.372498i | 0.0176855 | + | 0.0120854i | ||||
\(951\) | 20.9172 | − | 13.9764i | 0.678287 | − | 0.453217i | ||||
\(952\) | −7.48652 | + | 0.501800i | −0.242640 | + | 0.0162634i | ||||
\(953\) | −2.62712 | + | 3.93176i | −0.0851008 | + | 0.127362i | −0.871578 | − | 0.490257i | \(-0.836903\pi\) |
0.786477 | + | 0.617620i | \(0.211903\pi\) | |||||||
\(954\) | −6.39367 | − | 2.72671i | −0.207003 | − | 0.0882804i | ||||
\(955\) | 4.91294 | + | 4.03195i | 0.158979 | + | 0.130471i | ||||
\(956\) | 11.7747 | − | 53.3611i | 0.380822 | − | 1.72582i | ||||
\(957\) | 4.20254 | − | 7.86240i | 0.135849 | − | 0.254155i | ||||
\(958\) | −1.66038 | − | 18.8712i | −0.0536444 | − | 0.609701i | ||||
\(959\) | − | 13.5184i | − | 0.436532i | ||||||
\(960\) | −15.1729 | − | 11.5715i | −0.489702 | − | 0.373468i | ||||
\(961\) | − | 0.0837086i | − | 0.00270028i | ||||||
\(962\) | 4.68409 | − | 0.412129i | 0.151021 | − | 0.0132876i | ||||
\(963\) | 1.12667 | − | 2.10785i | 0.0363063 | − | 0.0679244i | ||||
\(964\) | −6.61300 | − | 10.3578i | −0.212990 | − | 0.333603i | ||||
\(965\) | 10.8766 | + | 8.92616i | 0.350129 | + | 0.287343i | ||||
\(966\) | 5.58828 | − | 13.1036i | 0.179800 | − | 0.421600i | ||||
\(967\) | 5.97676 | − | 8.94486i | 0.192200 | − | 0.287647i | −0.722836 | − | 0.691019i | \(-0.757162\pi\) |
0.915036 | + | 0.403372i | \(0.132162\pi\) | |||||||
\(968\) | −17.5859 | + | 8.70471i | −0.565231 | + | 0.279780i | ||||
\(969\) | −0.731734 | + | 0.488929i | −0.0235067 | + | 0.0157067i | ||||
\(970\) | 24.5441 | − | 35.9172i | 0.788062 | − | 1.15323i | ||||
\(971\) | 3.50502 | − | 11.5545i | 0.112481 | − | 0.370801i | −0.882568 | − | 0.470185i | \(-0.844187\pi\) |
0.995049 | + | 0.0993838i | \(0.0316872\pi\) | |||||||
\(972\) | −1.51926 | − | 1.30072i | −0.0487302 | − | 0.0417205i | ||||
\(973\) | −16.0628 | − | 19.5726i | −0.514949 | − | 0.627467i | ||||
\(974\) | −10.9044 | + | 19.8993i | −0.349398 | + | 0.637614i | ||||
\(975\) | 0.601371 | + | 1.45184i | 0.0192593 | + | 0.0464960i | ||||
\(976\) | 4.63749 | − | 32.9467i | 0.148442 | − | 1.05460i | ||||
\(977\) | 0.900208 | − | 2.17330i | 0.0288002 | − | 0.0695299i | −0.908825 | − | 0.417177i | \(-0.863019\pi\) |
0.937625 | + | 0.347647i | \(0.113019\pi\) | |||||||
\(978\) | −17.5848 | − | 21.8881i | −0.562299 | − | 0.699904i | ||||
\(979\) | −20.6487 | − | 2.03372i | −0.659936 | − | 0.0649980i | ||||
\(980\) | 1.60397 | − | 13.4143i | 0.0512369 | − | 0.428504i | ||||
\(981\) | −14.9205 | + | 7.97519i | −0.476376 | + | 0.254628i | ||||
\(982\) | 3.38528 | − | 16.1386i | 0.108029 | − | 0.515003i | ||||
\(983\) | 9.98302 | − | 50.1880i | 0.318409 | − | 1.60075i | −0.407664 | − | 0.913132i | \(-0.633657\pi\) |
0.726073 | − | 0.687617i | \(-0.241343\pi\) | |||||||
\(984\) | 6.38380 | + | 16.8856i | 0.203508 | + | 0.538295i | ||||
\(985\) | −27.8892 | + | 5.54750i | −0.888623 | + | 0.176758i | ||||
\(986\) | 5.80699 | − | 5.68726i | 0.184932 | − | 0.181119i | ||||
\(987\) | 21.2014 | − | 2.08816i | 0.674849 | − | 0.0664669i | ||||
\(988\) | −2.22859 | + | 2.13762i | −0.0709008 | + | 0.0680066i | ||||
\(989\) | −19.4402 | + | 5.89712i | −0.618163 | + | 0.187518i | ||||
\(990\) | −3.14236 | − | 6.02916i | −0.0998707 | − | 0.191619i | ||||
\(991\) | 43.0103 | + | 43.0103i | 1.36627 | + | 1.36627i | 0.865693 | + | 0.500575i | \(0.166878\pi\) |
0.500575 | + | 0.865693i | \(0.333122\pi\) | |||||||
\(992\) | 28.5507 | − | 13.3991i | 0.906486 | − | 0.425422i | ||||
\(993\) | −12.5751 | + | 12.5751i | −0.399060 | + | 0.399060i | ||||
\(994\) | 41.0186 | + | 12.9109i | 1.30103 | + | 0.409509i | ||||
\(995\) | −4.17333 | − | 13.7576i | −0.132304 | − | 0.436146i | ||||
\(996\) | −3.36096 | + | 7.65881i | −0.106496 | + | 0.242679i | ||||
\(997\) | −2.98944 | − | 30.3523i | −0.0946765 | − | 0.961267i | −0.918765 | − | 0.394805i | \(-0.870812\pi\) |
0.824088 | − | 0.566461i | \(-0.191688\pi\) | |||||||
\(998\) | −28.7476 | − | 0.299443i | −0.909989 | − | 0.00947871i | ||||
\(999\) | 0.284532 | + | 1.43044i | 0.00900218 | + | 0.0452570i |
(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 | 384.2.v.a.109.8 | ✓ | 512 | |
128.101 | even | 32 | inner | 384.2.v.a.229.8 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.8 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.229.8 | yes | 512 | 128.101 | even | 32 | inner |