Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 21 x^{18} - 47 x^{17} + 44 x^{16} + 232 x^{15} - 1084 x^{14} + 1484 x^{13} + \cdots + 1849 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Root | \(1.66465 + 1.92111i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.31 |
Dual form | 690.2.m.e.601.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | − | 0.989821i | 0.100632 | − | 0.699909i | ||||
\(3\) | −0.415415 | − | 0.909632i | −0.239840 | − | 0.525176i | ||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | −0.306823 | − | 0.197183i | −0.115968 | − | 0.0745283i | 0.481371 | − | 0.876517i | \(-0.340139\pi\) |
−0.597339 | + | 0.801989i | \(0.703775\pi\) | |||||||
\(8\) | −0.415415 | + | 0.909632i | −0.146871 | + | 0.321603i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | −0.841254 | + | 0.540641i | −0.266028 | + | 0.170966i | ||||
\(11\) | −0.338358 | − | 2.35333i | −0.102019 | − | 0.709556i | −0.975065 | − | 0.221919i | \(-0.928768\pi\) |
0.873046 | − | 0.487637i | \(-0.162141\pi\) | |||||||
\(12\) | 0.142315 | + | 0.989821i | 0.0410828 | + | 0.285737i | ||||
\(13\) | −2.18937 | + | 1.40702i | −0.607222 | + | 0.390238i | −0.807814 | − | 0.589437i | \(-0.799350\pi\) |
0.200592 | + | 0.979675i | \(0.435713\pi\) | |||||||
\(14\) | −0.238842 | + | 0.275638i | −0.0638332 | + | 0.0736674i | ||||
\(15\) | −0.415415 | + | 0.909632i | −0.107260 | + | 0.234866i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −5.18371 | + | 1.52207i | −1.25723 | + | 0.369157i | −0.841464 | − | 0.540312i | \(-0.818306\pi\) |
−0.415770 | + | 0.909470i | \(0.636488\pi\) | |||||||
\(18\) | 0.654861 | + | 0.755750i | 0.154352 | + | 0.178132i | ||||
\(19\) | −4.82449 | − | 1.41660i | −1.10681 | − | 0.324990i | −0.323257 | − | 0.946311i | \(-0.604778\pi\) |
−0.783556 | + | 0.621321i | \(0.786596\pi\) | |||||||
\(20\) | 0.415415 | + | 0.909632i | 0.0928896 | + | 0.203400i | ||||
\(21\) | −0.0519053 | + | 0.361009i | −0.0113267 | + | 0.0787787i | ||||
\(22\) | −2.37753 | −0.506892 | ||||||||
\(23\) | 4.55055 | − | 1.51409i | 0.948856 | − | 0.315709i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | 1.08112 | + | 2.36733i | 0.212025 | + | 0.464271i | ||||
\(27\) | 0.959493 | + | 0.281733i | 0.184655 | + | 0.0542195i | ||||
\(28\) | 0.238842 | + | 0.275638i | 0.0451369 | + | 0.0520907i | ||||
\(29\) | −0.347393 | + | 0.102004i | −0.0645092 | + | 0.0189416i | −0.313828 | − | 0.949480i | \(-0.601612\pi\) |
0.249319 | + | 0.968421i | \(0.419793\pi\) | |||||||
\(30\) | 0.841254 | + | 0.540641i | 0.153591 | + | 0.0987071i | ||||
\(31\) | −2.23481 | + | 4.89355i | −0.401383 | + | 0.878907i | 0.595745 | + | 0.803174i | \(0.296857\pi\) |
−0.997128 | + | 0.0757330i | \(0.975870\pi\) | |||||||
\(32\) | 0.654861 | − | 0.755750i | 0.115764 | − | 0.133599i | ||||
\(33\) | −2.00011 | + | 1.28539i | −0.348174 | + | 0.223758i | ||||
\(34\) | 0.768863 | + | 5.34756i | 0.131859 | + | 0.917099i | ||||
\(35\) | 0.0519053 | + | 0.361009i | 0.00877360 | + | 0.0610217i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −4.14326 | + | 4.78157i | −0.681147 | + | 0.786086i | −0.986077 | − | 0.166289i | \(-0.946822\pi\) |
0.304930 | + | 0.952375i | \(0.401367\pi\) | |||||||
\(38\) | −2.08877 | + | 4.57378i | −0.338844 | + | 0.741965i | ||||
\(39\) | 2.18937 | + | 1.40702i | 0.350580 | + | 0.225304i | ||||
\(40\) | 0.959493 | − | 0.281733i | 0.151709 | − | 0.0445458i | ||||
\(41\) | −3.08286 | − | 3.55781i | −0.481462 | − | 0.555637i | 0.462102 | − | 0.886827i | \(-0.347095\pi\) |
−0.943564 | + | 0.331190i | \(0.892550\pi\) | |||||||
\(42\) | 0.349948 | + | 0.102754i | 0.0539981 | + | 0.0158553i | ||||
\(43\) | 2.74106 | + | 6.00209i | 0.418008 | + | 0.915310i | 0.995122 | + | 0.0986470i | \(0.0314515\pi\) |
−0.577114 | + | 0.816663i | \(0.695821\pi\) | |||||||
\(44\) | −0.338358 | + | 2.35333i | −0.0510094 | + | 0.354778i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −0.851063 | − | 4.71971i | −0.125482 | − | 0.695884i | ||||
\(47\) | −5.31649 | −0.775490 | −0.387745 | − | 0.921767i | \(-0.626746\pi\) | ||||
−0.387745 | + | 0.921767i | \(0.626746\pi\) | |||||||
\(48\) | 0.142315 | − | 0.989821i | 0.0205414 | − | 0.142868i | ||||
\(49\) | −2.85265 | − | 6.24642i | −0.407521 | − | 0.892346i | ||||
\(50\) | 0.959493 | + | 0.281733i | 0.135693 | + | 0.0398430i | ||||
\(51\) | 3.53792 | + | 4.08298i | 0.495408 | + | 0.571731i | ||||
\(52\) | 2.49709 | − | 0.733211i | 0.346284 | − | 0.101678i | ||||
\(53\) | 7.10828 | + | 4.56821i | 0.976397 | + | 0.627492i | 0.928489 | − | 0.371360i | \(-0.121108\pi\) |
0.0479078 | + | 0.998852i | \(0.484745\pi\) | |||||||
\(54\) | 0.415415 | − | 0.909632i | 0.0565308 | − | 0.123785i | ||||
\(55\) | −1.55695 | + | 1.79682i | −0.209939 | + | 0.242283i | ||||
\(56\) | 0.306823 | − | 0.197183i | 0.0410010 | − | 0.0263497i | ||||
\(57\) | 0.715582 | + | 4.97698i | 0.0947812 | + | 0.659218i | ||||
\(58\) | 0.0515263 | + | 0.358373i | 0.00676574 | + | 0.0470567i | ||||
\(59\) | 2.37107 | − | 1.52379i | 0.308687 | − | 0.198381i | −0.377120 | − | 0.926164i | \(-0.623086\pi\) |
0.685807 | + | 0.727783i | \(0.259449\pi\) | |||||||
\(60\) | 0.654861 | − | 0.755750i | 0.0845422 | − | 0.0975669i | ||||
\(61\) | 4.31789 | − | 9.45485i | 0.552849 | − | 1.21057i | −0.402590 | − | 0.915380i | \(-0.631890\pi\) |
0.955439 | − | 0.295189i | \(-0.0953828\pi\) | |||||||
\(62\) | 4.52569 | + | 2.90848i | 0.574763 | + | 0.369378i | ||||
\(63\) | 0.349948 | − | 0.102754i | 0.0440893 | − | 0.0129458i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 2.49709 | + | 0.733211i | 0.309726 | + | 0.0909437i | ||||
\(66\) | 0.987662 | + | 2.16268i | 0.121573 | + | 0.266207i | ||||
\(67\) | −1.04152 | + | 7.24393i | −0.127242 | + | 0.884987i | 0.821786 | + | 0.569796i | \(0.192978\pi\) |
−0.949028 | + | 0.315191i | \(0.897931\pi\) | |||||||
\(68\) | 5.40255 | 0.655156 | ||||||||
\(69\) | −3.26763 | − | 3.51036i | −0.393376 | − | 0.422597i | ||||
\(70\) | 0.364722 | 0.0435926 | ||||||||
\(71\) | 1.79966 | − | 12.5169i | 0.213581 | − | 1.48549i | −0.547487 | − | 0.836814i | \(-0.684416\pi\) |
0.761068 | − | 0.648672i | \(-0.224675\pi\) | |||||||
\(72\) | −0.415415 | − | 0.909632i | −0.0489571 | − | 0.107201i | ||||
\(73\) | −12.7467 | − | 3.74277i | −1.49189 | − | 0.438058i | −0.568745 | − | 0.822514i | \(-0.692571\pi\) |
−0.923143 | + | 0.384456i | \(0.874389\pi\) | |||||||
\(74\) | 4.14326 | + | 4.78157i | 0.481644 | + | 0.555847i | ||||
\(75\) | 0.959493 | − | 0.281733i | 0.110793 | − | 0.0325317i | ||||
\(76\) | 4.22996 | + | 2.71843i | 0.485210 | + | 0.311825i | ||||
\(77\) | −0.360222 | + | 0.788776i | −0.0410511 | + | 0.0898893i | ||||
\(78\) | 1.70428 | − | 1.96685i | 0.192972 | − | 0.222701i | ||||
\(79\) | −9.84728 | + | 6.32846i | −1.10791 | + | 0.712008i | −0.960836 | − | 0.277118i | \(-0.910621\pi\) |
−0.147070 | + | 0.989126i | \(0.546984\pi\) | |||||||
\(80\) | −0.142315 | − | 0.989821i | −0.0159113 | − | 0.110665i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −3.96034 | + | 2.54515i | −0.437346 | + | 0.281065i | ||||
\(83\) | 0.520348 | − | 0.600514i | 0.0571156 | − | 0.0659149i | −0.726473 | − | 0.687195i | \(-0.758842\pi\) |
0.783588 | + | 0.621280i | \(0.213387\pi\) | |||||||
\(84\) | 0.151511 | − | 0.331762i | 0.0165312 | − | 0.0361982i | ||||
\(85\) | 4.54492 | + | 2.92084i | 0.492965 | + | 0.316810i | ||||
\(86\) | 6.33109 | − | 1.85898i | 0.682699 | − | 0.200459i | ||||
\(87\) | 0.237098 | + | 0.273626i | 0.0254196 | + | 0.0293357i | ||||
\(88\) | 2.28123 | + | 0.669828i | 0.243179 | + | 0.0714039i | ||||
\(89\) | −5.16630 | − | 11.3126i | −0.547626 | − | 1.19913i | −0.957882 | − | 0.287164i | \(-0.907288\pi\) |
0.410255 | − | 0.911971i | \(-0.365440\pi\) | |||||||
\(90\) | 0.142315 | − | 0.989821i | 0.0150013 | − | 0.104336i | ||||
\(91\) | 0.949191 | 0.0995023 | ||||||||
\(92\) | −4.79279 | + | 0.170715i | −0.499683 | + | 0.0177983i | ||||
\(93\) | 5.37970 | 0.557849 | ||||||||
\(94\) | −0.756616 | + | 5.26238i | −0.0780389 | + | 0.542773i | ||||
\(95\) | 2.08877 | + | 4.57378i | 0.214304 | + | 0.469260i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | −4.79276 | − | 5.53115i | −0.486632 | − | 0.561603i | 0.458331 | − | 0.888782i | \(-0.348447\pi\) |
−0.944962 | + | 0.327179i | \(0.893902\pi\) | |||||||
\(98\) | −6.58882 | + | 1.93465i | −0.665571 | + | 0.195429i | ||||
\(99\) | 2.00011 | + | 1.28539i | 0.201018 | + | 0.129187i | ||||
\(100\) | 0.415415 | − | 0.909632i | 0.0415415 | − | 0.0909632i | ||||
\(101\) | 7.64043 | − | 8.81753i | 0.760252 | − | 0.877377i | −0.235268 | − | 0.971931i | \(-0.575597\pi\) |
0.995520 | + | 0.0945533i | \(0.0301423\pi\) | |||||||
\(102\) | 4.54492 | − | 2.92084i | 0.450014 | − | 0.289206i | ||||
\(103\) | −1.53082 | − | 10.6471i | −0.150837 | − | 1.04909i | −0.914822 | − | 0.403858i | \(-0.867669\pi\) |
0.763985 | − | 0.645234i | \(-0.223240\pi\) | |||||||
\(104\) | −0.370376 | − | 2.57602i | −0.0363183 | − | 0.252599i | ||||
\(105\) | 0.306823 | − | 0.197183i | 0.0299429 | − | 0.0192431i | ||||
\(106\) | 5.53333 | − | 6.38580i | 0.537444 | − | 0.620244i | ||||
\(107\) | 3.47104 | − | 7.60053i | 0.335558 | − | 0.734770i | −0.664362 | − | 0.747411i | \(-0.731297\pi\) |
0.999920 | + | 0.0126408i | \(0.00402379\pi\) | |||||||
\(108\) | −0.841254 | − | 0.540641i | −0.0809497 | − | 0.0520232i | ||||
\(109\) | −12.4339 | + | 3.65092i | −1.19095 | + | 0.349695i | −0.816387 | − | 0.577506i | \(-0.804026\pi\) |
−0.374565 | + | 0.927201i | \(0.622208\pi\) | |||||||
\(110\) | 1.55695 | + | 1.79682i | 0.148450 | + | 0.171320i | ||||
\(111\) | 6.07064 | + | 1.78250i | 0.576200 | + | 0.169188i | ||||
\(112\) | −0.151511 | − | 0.331762i | −0.0143164 | − | 0.0313486i | ||||
\(113\) | −0.566909 | + | 3.94294i | −0.0533303 | + | 0.370921i | 0.945626 | + | 0.325255i | \(0.105450\pi\) |
−0.998957 | + | 0.0456658i | \(0.985459\pi\) | |||||||
\(114\) | 5.02816 | 0.470931 | ||||||||
\(115\) | −4.12425 | − | 2.44756i | −0.384588 | − | 0.228237i | ||||
\(116\) | 0.362059 | 0.0336163 | ||||||||
\(117\) | 0.370376 | − | 2.57602i | 0.0342412 | − | 0.238153i | ||||
\(118\) | −1.17085 | − | 2.56379i | −0.107785 | − | 0.236016i | ||||
\(119\) | 1.89061 | + | 0.555134i | 0.173312 | + | 0.0508890i | ||||
\(120\) | −0.654861 | − | 0.755750i | −0.0597803 | − | 0.0689902i | ||||
\(121\) | 5.13074 | − | 1.50652i | 0.466431 | − | 0.136956i | ||||
\(122\) | −8.74412 | − | 5.61950i | −0.791655 | − | 0.508766i | ||||
\(123\) | −1.95563 | + | 4.28224i | −0.176333 | + | 0.386116i | ||||
\(124\) | 3.52295 | − | 4.06570i | 0.316371 | − | 0.365111i | ||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | −0.0519053 | − | 0.361009i | −0.00462409 | − | 0.0321613i | ||||
\(127\) | 0.375850 | + | 2.61409i | 0.0333513 | + | 0.231963i | 0.999679 | − | 0.0253530i | \(-0.00807096\pi\) |
−0.966327 | + | 0.257316i | \(0.917162\pi\) | |||||||
\(128\) | −0.841254 | + | 0.540641i | −0.0743570 | + | 0.0477863i | ||||
\(129\) | 4.32102 | − | 4.98672i | 0.380444 | − | 0.439056i | ||||
\(130\) | 1.08112 | − | 2.36733i | 0.0948206 | − | 0.207628i | ||||
\(131\) | 13.4723 | + | 8.65811i | 1.17708 | + | 0.756463i | 0.974847 | − | 0.222875i | \(-0.0715441\pi\) |
0.202232 | + | 0.979338i | \(0.435180\pi\) | |||||||
\(132\) | 2.28123 | − | 0.669828i | 0.198555 | − | 0.0583011i | ||||
\(133\) | 1.20094 | + | 1.38595i | 0.104134 | + | 0.120177i | ||||
\(134\) | 7.02197 | + | 2.06184i | 0.606606 | + | 0.178116i | ||||
\(135\) | −0.415415 | − | 0.909632i | −0.0357532 | − | 0.0782887i | ||||
\(136\) | 0.768863 | − | 5.34756i | 0.0659295 | − | 0.458550i | ||||
\(137\) | −14.9106 | −1.27390 | −0.636949 | − | 0.770906i | \(-0.719804\pi\) | ||||
−0.636949 | + | 0.770906i | \(0.719804\pi\) | |||||||
\(138\) | −3.93966 | + | 2.73479i | −0.335366 | + | 0.232801i | ||||
\(139\) | 4.93021 | 0.418175 | 0.209088 | − | 0.977897i | \(-0.432951\pi\) | ||||
0.209088 | + | 0.977897i | \(0.432951\pi\) | |||||||
\(140\) | 0.0519053 | − | 0.361009i | 0.00438680 | − | 0.0305108i | ||||
\(141\) | 2.20855 | + | 4.83605i | 0.185993 | + | 0.407269i | ||||
\(142\) | −12.1334 | − | 3.56269i | −1.01821 | − | 0.298974i | ||||
\(143\) | 4.05198 | + | 4.67624i | 0.338844 | + | 0.391047i | ||||
\(144\) | −0.959493 | + | 0.281733i | −0.0799577 | + | 0.0234777i | ||||
\(145\) | 0.304583 | + | 0.195744i | 0.0252943 | + | 0.0162556i | ||||
\(146\) | −5.51872 | + | 12.0843i | −0.456732 | + | 1.00010i | ||||
\(147\) | −4.49691 | + | 5.18972i | −0.370899 | + | 0.428041i | ||||
\(148\) | 5.32255 | − | 3.42060i | 0.437511 | − | 0.281171i | ||||
\(149\) | −2.72811 | − | 18.9744i | −0.223495 | − | 1.55444i | −0.724669 | − | 0.689097i | \(-0.758007\pi\) |
0.501174 | − | 0.865347i | \(-0.332902\pi\) | |||||||
\(150\) | −0.142315 | − | 0.989821i | −0.0116200 | − | 0.0808186i | ||||
\(151\) | −1.22877 | + | 0.789684i | −0.0999961 | + | 0.0642636i | −0.589683 | − | 0.807635i | \(-0.700747\pi\) |
0.489687 | + | 0.871898i | \(0.337111\pi\) | |||||||
\(152\) | 3.29275 | − | 3.80003i | 0.267077 | − | 0.308223i | ||||
\(153\) | 2.24430 | − | 4.91433i | 0.181441 | − | 0.397300i | ||||
\(154\) | 0.729482 | + | 0.468810i | 0.0587834 | + | 0.0377778i | ||||
\(155\) | 5.16178 | − | 1.51564i | 0.414604 | − | 0.121739i | ||||
\(156\) | −1.70428 | − | 1.96685i | −0.136452 | − | 0.157474i | ||||
\(157\) | −12.8204 | − | 3.76441i | −1.02318 | − | 0.300432i | −0.273244 | − | 0.961945i | \(-0.588097\pi\) |
−0.749934 | + | 0.661512i | \(0.769915\pi\) | |||||||
\(158\) | 4.86263 | + | 10.6477i | 0.386850 | + | 0.847084i | ||||
\(159\) | 1.20251 | − | 8.36362i | 0.0953650 | − | 0.663278i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −1.69477 | − | 0.432737i | −0.133566 | − | 0.0341045i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 1.95699 | − | 13.6112i | 0.153283 | − | 1.06611i | −0.757385 | − | 0.652969i | \(-0.773523\pi\) |
0.910668 | − | 0.413139i | \(-0.135568\pi\) | |||||||
\(164\) | 1.95563 | + | 4.28224i | 0.152709 | + | 0.334387i | ||||
\(165\) | 2.28123 | + | 0.669828i | 0.177593 | + | 0.0521460i | ||||
\(166\) | −0.520348 | − | 0.600514i | −0.0403868 | − | 0.0466089i | ||||
\(167\) | −1.53637 | + | 0.451119i | −0.118888 | + | 0.0349086i | −0.340635 | − | 0.940195i | \(-0.610642\pi\) |
0.221747 | + | 0.975104i | \(0.428824\pi\) | |||||||
\(168\) | −0.306823 | − | 0.197183i | −0.0236719 | − | 0.0152130i | ||||
\(169\) | −2.58677 | + | 5.66423i | −0.198982 | + | 0.435710i | ||||
\(170\) | 3.53792 | − | 4.08298i | 0.271346 | − | 0.313150i | ||||
\(171\) | 4.22996 | − | 2.71843i | 0.323473 | − | 0.207884i | ||||
\(172\) | −0.939047 | − | 6.53121i | −0.0716016 | − | 0.498000i | ||||
\(173\) | 0.207307 | + | 1.44185i | 0.0157613 | + | 0.109622i | 0.996183 | − | 0.0872855i | \(-0.0278192\pi\) |
−0.980422 | + | 0.196907i | \(0.936910\pi\) | |||||||
\(174\) | 0.304583 | − | 0.195744i | 0.0230904 | − | 0.0148393i | ||||
\(175\) | 0.238842 | − | 0.275638i | 0.0180547 | − | 0.0208363i | ||||
\(176\) | 0.987662 | − | 2.16268i | 0.0744479 | − | 0.163018i | ||||
\(177\) | −2.37107 | − | 1.52379i | −0.178220 | − | 0.114535i | ||||
\(178\) | −11.9327 | + | 3.50376i | −0.894394 | + | 0.262618i | ||||
\(179\) | −0.775271 | − | 0.894711i | −0.0579465 | − | 0.0668738i | 0.726036 | − | 0.687656i | \(-0.241360\pi\) |
−0.783983 | + | 0.620783i | \(0.786815\pi\) | |||||||
\(180\) | −0.959493 | − | 0.281733i | −0.0715164 | − | 0.0209991i | ||||
\(181\) | −7.27707 | − | 15.9346i | −0.540901 | − | 1.18441i | −0.960903 | − | 0.276884i | \(-0.910698\pi\) |
0.420003 | − | 0.907523i | \(-0.362029\pi\) | |||||||
\(182\) | 0.135084 | − | 0.939530i | 0.0100131 | − | 0.0696426i | ||||
\(183\) | −10.3942 | −0.768358 | ||||||||
\(184\) | −0.513108 | + | 4.76830i | −0.0378268 | + | 0.351524i | ||||
\(185\) | 6.32693 | 0.465165 | ||||||||
\(186\) | 0.765611 | − | 5.32494i | 0.0561373 | − | 0.390444i | ||||
\(187\) | 5.33590 | + | 11.6840i | 0.390199 | + | 0.854418i | ||||
\(188\) | 5.10114 | + | 1.49783i | 0.372039 | + | 0.109240i | ||||
\(189\) | −0.238842 | − | 0.275638i | −0.0173732 | − | 0.0200497i | ||||
\(190\) | 4.82449 | − | 1.41660i | 0.350005 | − | 0.102771i | ||||
\(191\) | −1.40652 | − | 0.903914i | −0.101772 | − | 0.0654049i | 0.488765 | − | 0.872416i | \(-0.337448\pi\) |
−0.590537 | + | 0.807011i | \(0.701084\pi\) | |||||||
\(192\) | −0.415415 | + | 0.909632i | −0.0299800 | + | 0.0656470i | ||||
\(193\) | 8.79373 | − | 10.1485i | 0.632987 | − | 0.730505i | −0.345132 | − | 0.938554i | \(-0.612166\pi\) |
0.978118 | + | 0.208049i | \(0.0667113\pi\) | |||||||
\(194\) | −6.15693 | + | 3.95682i | −0.442042 | + | 0.284083i | ||||
\(195\) | −0.370376 | − | 2.57602i | −0.0265232 | − | 0.184473i | ||||
\(196\) | 0.977273 | + | 6.79708i | 0.0698052 | + | 0.485506i | ||||
\(197\) | 8.59684 | − | 5.52485i | 0.612499 | − | 0.393629i | −0.197294 | − | 0.980344i | \(-0.563215\pi\) |
0.809794 | + | 0.586715i | \(0.199579\pi\) | |||||||
\(198\) | 1.55695 | − | 1.79682i | 0.110648 | − | 0.127694i | ||||
\(199\) | 2.93812 | − | 6.43358i | 0.208278 | − | 0.456064i | −0.776447 | − | 0.630182i | \(-0.782980\pi\) |
0.984725 | + | 0.174118i | \(0.0557074\pi\) | |||||||
\(200\) | −0.841254 | − | 0.540641i | −0.0594856 | − | 0.0382291i | ||||
\(201\) | 7.02197 | − | 2.06184i | 0.495292 | − | 0.145431i | ||||
\(202\) | −7.64043 | − | 8.81753i | −0.537579 | − | 0.620399i | ||||
\(203\) | 0.126702 | + | 0.0372030i | 0.00889271 | + | 0.00261114i | ||||
\(204\) | −2.24430 | − | 4.91433i | −0.157133 | − | 0.344072i | ||||
\(205\) | −0.669970 | + | 4.65974i | −0.0467927 | + | 0.325451i | ||||
\(206\) | −10.7566 | −0.749448 | ||||||||
\(207\) | −1.83571 | + | 4.43059i | −0.127591 | + | 0.307948i | ||||
\(208\) | −2.60251 | −0.180452 | ||||||||
\(209\) | −1.70132 | + | 11.8329i | −0.117683 | + | 0.818501i | ||||
\(210\) | −0.151511 | − | 0.331762i | −0.0104552 | − | 0.0228938i | ||||
\(211\) | 6.89135 | + | 2.02348i | 0.474420 | + | 0.139302i | 0.510197 | − | 0.860057i | \(-0.329572\pi\) |
−0.0357769 | + | 0.999360i | \(0.511391\pi\) | |||||||
\(212\) | −5.53333 | − | 6.38580i | −0.380031 | − | 0.438579i | ||||
\(213\) | −12.1334 | + | 3.56269i | −0.831367 | + | 0.244111i | ||||
\(214\) | −7.02918 | − | 4.51738i | −0.480505 | − | 0.308802i | ||||
\(215\) | 2.74106 | − | 6.00209i | 0.186939 | − | 0.409339i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | 1.65062 | − | 1.06079i | 0.112051 | − | 0.0720109i | ||||
\(218\) | 1.84423 | + | 12.8269i | 0.124907 | + | 0.868749i | ||||
\(219\) | 1.89063 | + | 13.1496i | 0.127757 | + | 0.888568i | ||||
\(220\) | 2.00011 | − | 1.28539i | 0.134847 | − | 0.0866610i | ||||
\(221\) | 9.20747 | − | 10.6260i | 0.619361 | − | 0.714781i | ||||
\(222\) | 2.62830 | − | 5.75518i | 0.176400 | − | 0.386262i | ||||
\(223\) | 1.26305 | + | 0.811715i | 0.0845803 | + | 0.0543564i | 0.582247 | − | 0.813012i | \(-0.302174\pi\) |
−0.497667 | + | 0.867368i | \(0.665810\pi\) | |||||||
\(224\) | −0.349948 | + | 0.102754i | −0.0233819 | + | 0.00686554i | ||||
\(225\) | −0.654861 | − | 0.755750i | −0.0436574 | − | 0.0503833i | ||||
\(226\) | 3.82213 | + | 1.12228i | 0.254244 | + | 0.0746528i | ||||
\(227\) | 5.63357 | + | 12.3358i | 0.373913 | + | 0.818756i | 0.999262 | + | 0.0384106i | \(0.0122295\pi\) |
−0.625349 | + | 0.780345i | \(0.715043\pi\) | |||||||
\(228\) | 0.715582 | − | 4.97698i | 0.0473906 | − | 0.329609i | ||||
\(229\) | −12.3673 | −0.817255 | −0.408627 | − | 0.912701i | \(-0.633992\pi\) | ||||
−0.408627 | + | 0.912701i | \(0.633992\pi\) | |||||||
\(230\) | −3.00959 | + | 3.73395i | −0.198447 | + | 0.246209i | ||||
\(231\) | 0.867137 | 0.0570534 | ||||||||
\(232\) | 0.0515263 | − | 0.358373i | 0.00338287 | − | 0.0235284i | ||||
\(233\) | 5.47398 | + | 11.9863i | 0.358612 | + | 0.785251i | 0.999840 | + | 0.0179002i | \(0.00569812\pi\) |
−0.641228 | + | 0.767351i | \(0.721575\pi\) | |||||||
\(234\) | −2.49709 | − | 0.733211i | −0.163240 | − | 0.0479315i | ||||
\(235\) | 3.48156 | + | 4.01794i | 0.227112 | + | 0.262101i | ||||
\(236\) | −2.70433 | + | 0.794062i | −0.176037 | + | 0.0516890i | ||||
\(237\) | 9.84728 | + | 6.32846i | 0.639650 | + | 0.411078i | ||||
\(238\) | 0.818545 | − | 1.79236i | 0.0530584 | − | 0.116182i | ||||
\(239\) | 9.76041 | − | 11.2641i | 0.631348 | − | 0.728615i | −0.346472 | − | 0.938060i | \(-0.612620\pi\) |
0.977820 | + | 0.209446i | \(0.0671659\pi\) | |||||||
\(240\) | −0.841254 | + | 0.540641i | −0.0543027 | + | 0.0348982i | ||||
\(241\) | 3.82267 | + | 26.5872i | 0.246240 | + | 1.71263i | 0.619575 | + | 0.784938i | \(0.287305\pi\) |
−0.373335 | + | 0.927697i | \(0.621786\pi\) | |||||||
\(242\) | −0.761006 | − | 5.29291i | −0.0489193 | − | 0.340241i | ||||
\(243\) | −0.841254 | + | 0.540641i | −0.0539664 | + | 0.0346821i | ||||
\(244\) | −6.80672 | + | 7.85538i | −0.435756 | + | 0.502889i | ||||
\(245\) | −2.85265 | + | 6.24642i | −0.182249 | + | 0.399069i | ||||
\(246\) | 3.96034 | + | 2.54515i | 0.252502 | + | 0.162273i | ||||
\(247\) | 12.5558 | − | 3.68671i | 0.798904 | − | 0.234580i | ||||
\(248\) | −3.52295 | − | 4.06570i | −0.223708 | − | 0.258172i | ||||
\(249\) | −0.762407 | − | 0.223863i | −0.0483156 | − | 0.0141867i | ||||
\(250\) | −0.415415 | − | 0.909632i | −0.0262732 | − | 0.0575302i | ||||
\(251\) | 1.53380 | − | 10.6678i | 0.0968127 | − | 0.673347i | −0.882398 | − | 0.470503i | \(-0.844072\pi\) |
0.979211 | − | 0.202844i | \(-0.0650185\pi\) | |||||||
\(252\) | −0.364722 | −0.0229753 | ||||||||
\(253\) | −5.10286 | − | 10.1967i | −0.320814 | − | 0.641059i | ||||
\(254\) | 2.64097 | 0.165709 | ||||||||
\(255\) | 0.768863 | − | 5.34756i | 0.0481481 | − | 0.334877i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −19.8154 | − | 5.81832i | −1.23605 | − | 0.362937i | −0.402520 | − | 0.915411i | \(-0.631866\pi\) |
−0.833530 | + | 0.552474i | \(0.813684\pi\) | |||||||
\(258\) | −4.32102 | − | 4.98672i | −0.269015 | − | 0.310460i | ||||
\(259\) | 2.21409 | − | 0.650117i | 0.137577 | − | 0.0403963i | ||||
\(260\) | −2.18937 | − | 1.40702i | −0.135779 | − | 0.0872598i | ||||
\(261\) | 0.150405 | − | 0.329340i | 0.00930981 | − | 0.0203856i | ||||
\(262\) | 10.4873 | − | 12.1030i | 0.647907 | − | 0.747725i | ||||
\(263\) | −14.0221 | + | 9.01146i | −0.864640 | + | 0.555670i | −0.896109 | − | 0.443834i | \(-0.853618\pi\) |
0.0314688 | + | 0.999505i | \(0.489982\pi\) | |||||||
\(264\) | −0.338358 | − | 2.35333i | −0.0208245 | − | 0.144838i | ||||
\(265\) | −1.20251 | − | 8.36362i | −0.0738694 | − | 0.513773i | ||||
\(266\) | 1.54276 | − | 0.991470i | 0.0945925 | − | 0.0607909i | ||||
\(267\) | −8.14416 | + | 9.39886i | −0.498414 | + | 0.575201i | ||||
\(268\) | 3.04018 | − | 6.65707i | 0.185709 | − | 0.406645i | ||||
\(269\) | 10.9082 | + | 7.01025i | 0.665083 | + | 0.427423i | 0.829150 | − | 0.559027i | \(-0.188825\pi\) |
−0.164067 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(270\) | −0.959493 | + | 0.281733i | −0.0583929 | + | 0.0171457i | ||||
\(271\) | 17.9296 | + | 20.6919i | 1.08915 | + | 1.25694i | 0.964313 | + | 0.264765i | \(0.0852943\pi\) |
0.124834 | + | 0.992178i | \(0.460160\pi\) | |||||||
\(272\) | −5.18371 | − | 1.52207i | −0.314309 | − | 0.0922893i | ||||
\(273\) | −0.394308 | − | 0.863415i | −0.0238646 | − | 0.0522562i | ||||
\(274\) | −2.12200 | + | 14.7588i | −0.128195 | + | 0.891613i | ||||
\(275\) | 2.37753 | 0.143371 | ||||||||
\(276\) | 2.14629 | + | 4.28876i | 0.129191 | + | 0.258153i | ||||
\(277\) | 10.3539 | 0.622103 | 0.311052 | − | 0.950393i | \(-0.399319\pi\) | ||||
0.311052 | + | 0.950393i | \(0.399319\pi\) | |||||||
\(278\) | 0.701642 | − | 4.88003i | 0.0420817 | − | 0.292685i | ||||
\(279\) | −2.23481 | − | 4.89355i | −0.133794 | − | 0.292969i | ||||
\(280\) | −0.349948 | − | 0.102754i | −0.0209134 | − | 0.00614072i | ||||
\(281\) | −0.411148 | − | 0.474490i | −0.0245270 | − | 0.0283057i | 0.743354 | − | 0.668899i | \(-0.233234\pi\) |
−0.767881 | + | 0.640593i | \(0.778689\pi\) | |||||||
\(282\) | 5.10114 | − | 1.49783i | 0.303768 | − | 0.0891944i | ||||
\(283\) | 22.6488 | + | 14.5555i | 1.34633 | + | 0.865233i | 0.997410 | − | 0.0719197i | \(-0.0229125\pi\) |
0.348919 | + | 0.937153i | \(0.386549\pi\) | |||||||
\(284\) | −5.25319 | + | 11.5029i | −0.311719 | + | 0.682570i | ||||
\(285\) | 3.29275 | − | 3.80003i | 0.195045 | − | 0.225094i | ||||
\(286\) | 5.20530 | − | 3.34524i | 0.307796 | − | 0.197808i | ||||
\(287\) | 0.244352 | + | 1.69951i | 0.0144237 | + | 0.100319i | ||||
\(288\) | 0.142315 | + | 0.989821i | 0.00838598 | + | 0.0583258i | ||||
\(289\) | 10.2528 | − | 6.58910i | 0.603108 | − | 0.387594i | ||||
\(290\) | 0.237098 | − | 0.273626i | 0.0139229 | − | 0.0160679i | ||||
\(291\) | −3.04032 | + | 6.65737i | −0.178227 | + | 0.390262i | ||||
\(292\) | 11.1759 | + | 7.18232i | 0.654021 | + | 0.420314i | ||||
\(293\) | −17.6703 | + | 5.18846i | −1.03231 | + | 0.303113i | −0.753649 | − | 0.657277i | \(-0.771708\pi\) |
−0.278659 | + | 0.960390i | \(0.589890\pi\) | |||||||
\(294\) | 4.49691 | + | 5.18972i | 0.262265 | + | 0.302670i | ||||
\(295\) | −2.70433 | − | 0.794062i | −0.157452 | − | 0.0462321i | ||||
\(296\) | −2.62830 | − | 5.75518i | −0.152767 | − | 0.334513i | ||||
\(297\) | 0.338358 | − | 2.35333i | 0.0196335 | − | 0.136554i | ||||
\(298\) | −19.1695 | −1.11046 | ||||||||
\(299\) | −7.83249 | + | 9.71763i | −0.452965 | + | 0.561985i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 0.342491 | − | 2.38207i | 0.0197408 | − | 0.137300i | ||||
\(302\) | 0.606774 | + | 1.32865i | 0.0349159 | + | 0.0764552i | ||||
\(303\) | −11.1947 | − | 3.28705i | −0.643116 | − | 0.188836i | ||||
\(304\) | −3.29275 | − | 3.80003i | −0.188852 | − | 0.217947i | ||||
\(305\) | −9.97311 | + | 2.92837i | −0.571059 | + | 0.167678i | ||||
\(306\) | −4.54492 | − | 2.92084i | −0.259816 | − | 0.166973i | ||||
\(307\) | −12.8092 | + | 28.0483i | −0.731061 | + | 1.60080i | 0.0666608 | + | 0.997776i | \(0.478765\pi\) |
−0.797722 | + | 0.603025i | \(0.793962\pi\) | |||||||
\(308\) | 0.567854 | − | 0.655339i | 0.0323565 | − | 0.0373414i | ||||
\(309\) | −9.04903 | + | 5.81546i | −0.514781 | + | 0.330830i | ||||
\(310\) | −0.765611 | − | 5.32494i | −0.0434838 | − | 0.302436i | ||||
\(311\) | −1.58338 | − | 11.0127i | −0.0897854 | − | 0.624471i | −0.984177 | − | 0.177187i | \(-0.943300\pi\) |
0.894392 | − | 0.447284i | \(-0.147609\pi\) | |||||||
\(312\) | −2.18937 | + | 1.40702i | −0.123949 | + | 0.0796570i | ||||
\(313\) | 7.87912 | − | 9.09299i | 0.445354 | − | 0.513966i | −0.488039 | − | 0.872822i | \(-0.662288\pi\) |
0.933393 | + | 0.358856i | \(0.116833\pi\) | |||||||
\(314\) | −5.55062 | + | 12.1542i | −0.313240 | + | 0.685899i | ||||
\(315\) | −0.306823 | − | 0.197183i | −0.0172875 | − | 0.0111100i | ||||
\(316\) | 11.2313 | − | 3.29782i | 0.631812 | − | 0.185517i | ||||
\(317\) | −5.30530 | − | 6.12264i | −0.297975 | − | 0.343882i | 0.586943 | − | 0.809628i | \(-0.300331\pi\) |
−0.884918 | + | 0.465746i | \(0.845786\pi\) | |||||||
\(318\) | −8.10736 | − | 2.38053i | −0.454638 | − | 0.133494i | ||||
\(319\) | 0.357592 | + | 0.783017i | 0.0200213 | + | 0.0438405i | ||||
\(320\) | −0.142315 | + | 0.989821i | −0.00795564 | + | 0.0553327i | ||||
\(321\) | −8.35560 | −0.466364 | ||||||||
\(322\) | −0.669523 | + | 1.61593i | −0.0373111 | + | 0.0900524i | ||||
\(323\) | 27.1649 | 1.51150 | ||||||||
\(324\) | −0.142315 | + | 0.989821i | −0.00790638 | + | 0.0549901i | ||||
\(325\) | −1.08112 | − | 2.36733i | −0.0599698 | − | 0.131316i | ||||
\(326\) | −13.1941 | − | 3.87414i | −0.730754 | − | 0.214569i | ||||
\(327\) | 8.48623 | + | 9.79363i | 0.469289 | + | 0.541589i | ||||
\(328\) | 4.51697 | − | 1.32630i | 0.249408 | − | 0.0732327i | ||||
\(329\) | 1.63122 | + | 1.04832i | 0.0899323 | + | 0.0577959i | ||||
\(330\) | 0.987662 | − | 2.16268i | 0.0543690 | − | 0.119052i | ||||
\(331\) | −3.37283 | + | 3.89246i | −0.185388 | + | 0.213949i | −0.840834 | − | 0.541293i | \(-0.817935\pi\) |
0.655446 | + | 0.755242i | \(0.272480\pi\) | |||||||
\(332\) | −0.668454 | + | 0.429590i | −0.0366862 | + | 0.0235768i | ||||
\(333\) | −0.900416 | − | 6.26253i | −0.0493425 | − | 0.343184i | ||||
\(334\) | 0.227879 | + | 1.58493i | 0.0124690 | + | 0.0867237i | ||||
\(335\) | 6.15665 | − | 3.95664i | 0.336374 | − | 0.216174i | ||||
\(336\) | −0.238842 | + | 0.275638i | −0.0130299 | + | 0.0150373i | ||||
\(337\) | 0.526320 | − | 1.15248i | 0.0286705 | − | 0.0627796i | −0.894755 | − | 0.446557i | \(-0.852650\pi\) |
0.923425 | + | 0.383778i | \(0.125377\pi\) | |||||||
\(338\) | 5.23844 | + | 3.36654i | 0.284934 | + | 0.183116i | ||||
\(339\) | 3.82213 | − | 1.12228i | 0.207589 | − | 0.0609537i | ||||
\(340\) | −3.53792 | − | 4.08298i | −0.191871 | − | 0.221430i | ||||
\(341\) | 12.2723 | + | 3.60347i | 0.664582 | + | 0.195139i | ||||
\(342\) | −2.08877 | − | 4.57378i | −0.112948 | − | 0.247322i | ||||
\(343\) | −0.719770 | + | 5.00611i | −0.0388639 | + | 0.270304i | ||||
\(344\) | −6.59837 | −0.355760 | ||||||||
\(345\) | −0.513108 | + | 4.76830i | −0.0276248 | + | 0.256717i | ||||
\(346\) | 1.45668 | 0.0783115 | ||||||||
\(347\) | −3.61949 | + | 25.1741i | −0.194304 | + | 1.35142i | 0.626150 | + | 0.779703i | \(0.284630\pi\) |
−0.820454 | + | 0.571713i | \(0.806279\pi\) | |||||||
\(348\) | −0.150405 | − | 0.329340i | −0.00806253 | − | 0.0176545i | ||||
\(349\) | 5.18344 | + | 1.52199i | 0.277463 | + | 0.0814705i | 0.417504 | − | 0.908675i | \(-0.362905\pi\) |
−0.140041 | + | 0.990146i | \(0.544723\pi\) | |||||||
\(350\) | −0.238842 | − | 0.275638i | −0.0127666 | − | 0.0147335i | ||||
\(351\) | −2.49709 | + | 0.733211i | −0.133285 | + | 0.0391359i | ||||
\(352\) | −2.00011 | − | 1.28539i | −0.106606 | − | 0.0685116i | ||||
\(353\) | −11.6983 | + | 25.6156i | −0.622636 | + | 1.36338i | 0.290951 | + | 0.956738i | \(0.406028\pi\) |
−0.913587 | + | 0.406644i | \(0.866699\pi\) | |||||||
\(354\) | −1.84572 | + | 2.13008i | −0.0980990 | + | 0.113212i | ||||
\(355\) | −10.6382 | + | 6.83675i | −0.564617 | + | 0.362857i | ||||
\(356\) | 1.76989 | + | 12.3099i | 0.0938042 | + | 0.652423i | ||||
\(357\) | −0.280421 | − | 1.95037i | −0.0148415 | − | 0.103225i | ||||
\(358\) | −0.995937 | + | 0.640050i | −0.0526369 | + | 0.0338277i | ||||
\(359\) | 9.53041 | − | 10.9987i | 0.502996 | − | 0.580488i | −0.446296 | − | 0.894886i | \(-0.647257\pi\) |
0.949291 | + | 0.314398i | \(0.101803\pi\) | |||||||
\(360\) | −0.415415 | + | 0.909632i | −0.0218943 | + | 0.0479418i | ||||
\(361\) | 5.28511 | + | 3.39653i | 0.278163 | + | 0.178765i | ||||
\(362\) | −16.8080 | + | 4.93528i | −0.883409 | + | 0.259392i | ||||
\(363\) | −3.50176 | − | 4.04125i | −0.183795 | − | 0.212111i | ||||
\(364\) | −0.910742 | − | 0.267418i | −0.0477359 | − | 0.0140165i | ||||
\(365\) | 5.51872 | + | 12.0843i | 0.288863 | + | 0.632522i | ||||
\(366\) | −1.47924 | + | 10.2884i | −0.0773212 | + | 0.537781i | ||||
\(367\) | 5.34982 | 0.279258 | 0.139629 | − | 0.990204i | \(-0.455409\pi\) | ||||
0.139629 | + | 0.990204i | \(0.455409\pi\) | |||||||
\(368\) | 4.64675 | + | 1.18649i | 0.242228 | + | 0.0618498i | ||||
\(369\) | 4.70766 | 0.245071 | ||||||||
\(370\) | 0.900416 | − | 6.26253i | 0.0468104 | − | 0.325573i | ||||
\(371\) | −1.28021 | − | 2.80327i | −0.0664652 | − | 0.145538i | ||||
\(372\) | −5.16178 | − | 1.51564i | −0.267626 | − | 0.0785821i | ||||
\(373\) | −8.61450 | − | 9.94166i | −0.446042 | − | 0.514760i | 0.487551 | − | 0.873094i | \(-0.337890\pi\) |
−0.933593 | + | 0.358335i | \(0.883345\pi\) | |||||||
\(374\) | 12.3244 | − | 3.61878i | 0.637281 | − | 0.187123i | ||||
\(375\) | −0.841254 | − | 0.540641i | −0.0434421 | − | 0.0279186i | ||||
\(376\) | 2.20855 | − | 4.83605i | 0.113897 | − | 0.249400i | ||||
\(377\) | 0.617050 | − | 0.712113i | 0.0317797 | − | 0.0366757i | ||||
\(378\) | −0.306823 | + | 0.197183i | −0.0157813 | + | 0.0101420i | ||||
\(379\) | 1.81215 | + | 12.6038i | 0.0930838 | + | 0.647412i | 0.981935 | + | 0.189217i | \(0.0605949\pi\) |
−0.888851 | + | 0.458195i | \(0.848496\pi\) | |||||||
\(380\) | −0.715582 | − | 4.97698i | −0.0367086 | − | 0.255314i | ||||
\(381\) | 2.22173 | − | 1.42782i | 0.113823 | − | 0.0731493i | ||||
\(382\) | −1.09488 | + | 1.26356i | −0.0560190 | + | 0.0646494i | ||||
\(383\) | 7.66096 | − | 16.7752i | 0.391457 | − | 0.857171i | −0.606609 | − | 0.795001i | \(-0.707471\pi\) |
0.998066 | − | 0.0621703i | \(-0.0198022\pi\) | |||||||
\(384\) | 0.841254 | + | 0.540641i | 0.0429300 | + | 0.0275895i | ||||
\(385\) | 0.832012 | − | 0.244301i | 0.0424033 | − | 0.0124507i | ||||
\(386\) | −8.79373 | − | 10.1485i | −0.447589 | − | 0.516545i | ||||
\(387\) | −6.33109 | − | 1.85898i | −0.321828 | − | 0.0944971i | ||||
\(388\) | 3.04032 | + | 6.65737i | 0.154349 | + | 0.337977i | ||||
\(389\) | −2.82634 | + | 19.6576i | −0.143301 | + | 0.996681i | 0.783571 | + | 0.621303i | \(0.213396\pi\) |
−0.926872 | + | 0.375378i | \(0.877513\pi\) | |||||||
\(390\) | −2.60251 | −0.131783 | ||||||||
\(391\) | −21.2842 | + | 14.7749i | −1.07639 | + | 0.747197i | ||||
\(392\) | 6.86698 | 0.346835 | ||||||||
\(393\) | 2.27911 | − | 15.8515i | 0.114966 | − | 0.799604i | ||||
\(394\) | −4.24516 | − | 9.29560i | −0.213868 | − | 0.468306i | ||||
\(395\) | 11.2313 | + | 3.29782i | 0.565110 | + | 0.165931i | ||||
\(396\) | −1.55695 | − | 1.79682i | −0.0782398 | − | 0.0902935i | ||||
\(397\) | 34.6792 | − | 10.1827i | 1.74050 | − | 0.511056i | 0.751595 | − | 0.659625i | \(-0.229285\pi\) |
0.988902 | + | 0.148569i | \(0.0474666\pi\) | |||||||
\(398\) | −5.94995 | − | 3.82380i | −0.298244 | − | 0.191670i | ||||
\(399\) | 0.761821 | − | 1.66816i | 0.0381388 | − | 0.0835122i | ||||
\(400\) | −0.654861 | + | 0.755750i | −0.0327430 | + | 0.0377875i | ||||
\(401\) | −18.3258 | + | 11.7773i | −0.915149 | + | 0.588130i | −0.911246 | − | 0.411862i | \(-0.864879\pi\) |
−0.00390240 | + | 0.999992i | \(0.501242\pi\) | |||||||
\(402\) | −1.04152 | − | 7.24393i | −0.0519463 | − | 0.361294i | ||||
\(403\) | −1.99251 | − | 13.8582i | −0.0992539 | − | 0.690326i | ||||
\(404\) | −9.81513 | + | 6.30780i | −0.488321 | + | 0.313825i | ||||
\(405\) | −0.654861 | + | 0.755750i | −0.0325403 | + | 0.0375535i | ||||
\(406\) | 0.0548558 | − | 0.120117i | 0.00272245 | − | 0.00596133i | ||||
\(407\) | 12.6545 | + | 8.13257i | 0.627262 | + | 0.403117i | ||||
\(408\) | −5.18371 | + | 1.52207i | −0.256632 | + | 0.0753539i | ||||
\(409\) | 4.79547 | + | 5.53427i | 0.237121 | + | 0.273652i | 0.861821 | − | 0.507213i | \(-0.169324\pi\) |
−0.624700 | + | 0.780865i | \(0.714779\pi\) | |||||||
\(410\) | 4.51697 | + | 1.32630i | 0.223077 | + | 0.0655013i | ||||
\(411\) | 6.19408 | + | 13.5632i | 0.305532 | + | 0.669021i | ||||
\(412\) | −1.53082 | + | 10.6471i | −0.0754183 | + | 0.524546i | ||||
\(413\) | −1.02797 | −0.0505829 | ||||||||
\(414\) | 4.12425 | + | 2.44756i | 0.202696 | + | 0.120291i | ||||
\(415\) | −0.794593 | −0.0390050 | ||||||||
\(416\) | −0.370376 | + | 2.57602i | −0.0181592 | + | 0.126300i | ||||
\(417\) | −2.04808 | − | 4.48468i | −0.100295 | − | 0.219616i | ||||
\(418\) | 11.4704 | + | 3.36800i | 0.561034 | + | 0.164734i | ||||
\(419\) | −5.02570 | − | 5.79996i | −0.245521 | − | 0.283347i | 0.619591 | − | 0.784925i | \(-0.287298\pi\) |
−0.865112 | + | 0.501578i | \(0.832753\pi\) | |||||||
\(420\) | −0.349948 | + | 0.102754i | −0.0170757 | + | 0.00501388i | ||||
\(421\) | 24.6472 | + | 15.8398i | 1.20123 | + | 0.771985i | 0.979169 | − | 0.203047i | \(-0.0650844\pi\) |
0.222064 | + | 0.975032i | \(0.428721\pi\) | |||||||
\(422\) | 2.98363 | − | 6.53324i | 0.145241 | − | 0.318033i | ||||
\(423\) | 3.48156 | − | 4.01794i | 0.169279 | − | 0.195359i | ||||
\(424\) | −7.10828 | + | 4.56821i | −0.345208 | + | 0.221852i | ||||
\(425\) | −0.768863 | − | 5.34756i | −0.0372953 | − | 0.259395i | ||||
\(426\) | 1.79966 | + | 12.5169i | 0.0871939 | + | 0.606447i | ||||
\(427\) | −3.18917 | + | 2.04955i | −0.154335 | + | 0.0991849i | ||||
\(428\) | −5.47176 | + | 6.31474i | −0.264487 | + | 0.305235i | ||||
\(429\) | 2.57040 | − | 5.62839i | 0.124100 | − | 0.271741i | ||||
\(430\) | −5.55091 | − | 3.56735i | −0.267688 | − | 0.172033i | ||||
\(431\) | −35.7508 | + | 10.4974i | −1.72206 | + | 0.505641i | −0.985346 | − | 0.170569i | \(-0.945440\pi\) |
−0.736709 | + | 0.676210i | \(0.763621\pi\) | |||||||
\(432\) | 0.654861 | + | 0.755750i | 0.0315070 | + | 0.0363610i | ||||
\(433\) | −16.2623 | − | 4.77504i | −0.781516 | − | 0.229474i | −0.133448 | − | 0.991056i | \(-0.542605\pi\) |
−0.648069 | + | 0.761582i | \(0.724423\pi\) | |||||||
\(434\) | −0.815082 | − | 1.78478i | −0.0391252 | − | 0.0856723i | ||||
\(435\) | 0.0515263 | − | 0.358373i | 0.00247050 | − | 0.0171827i | ||||
\(436\) | 12.9588 | 0.620615 | ||||||||
\(437\) | −24.0989 | + | 0.858382i | −1.15281 | + | 0.0410620i | ||||
\(438\) | 13.2848 | 0.634774 | ||||||||
\(439\) | −1.45905 | + | 10.1479i | −0.0696367 | + | 0.484334i | 0.924922 | + | 0.380157i | \(0.124130\pi\) |
−0.994559 | + | 0.104177i | \(0.966779\pi\) | |||||||
\(440\) | −0.987662 | − | 2.16268i | −0.0470850 | − | 0.103102i | ||||
\(441\) | 6.58882 | + | 1.93465i | 0.313753 | + | 0.0921263i | ||||
\(442\) | −9.20747 | − | 10.6260i | −0.437955 | − | 0.505426i | ||||
\(443\) | 0.125341 | − | 0.0368034i | 0.00595513 | − | 0.00174858i | −0.278754 | − | 0.960363i | \(-0.589921\pi\) |
0.284709 | + | 0.958614i | \(0.408103\pi\) | |||||||
\(444\) | −5.32255 | − | 3.42060i | −0.252597 | − | 0.162334i | ||||
\(445\) | −5.16630 | + | 11.3126i | −0.244906 | + | 0.536269i | ||||
\(446\) | 0.983204 | − | 1.13468i | 0.0465560 | − | 0.0537285i | ||||
\(447\) | −16.1264 | + | 10.3638i | −0.762754 | + | 0.490192i | ||||
\(448\) | 0.0519053 | + | 0.361009i | 0.00245229 | + | 0.0170561i | ||||
\(449\) | −4.12423 | − | 28.6846i | −0.194634 | − | 1.35371i | −0.819545 | − | 0.573015i | \(-0.805774\pi\) |
0.624911 | − | 0.780696i | \(-0.285135\pi\) | |||||||
\(450\) | −0.841254 | + | 0.540641i | −0.0396571 | + | 0.0254861i | ||||
\(451\) | −7.32960 | + | 8.45881i | −0.345138 | + | 0.398310i | ||||
\(452\) | 1.65480 | − | 3.62351i | 0.0778352 | − | 0.170435i | ||||
\(453\) | 1.22877 | + | 0.789684i | 0.0577328 | + | 0.0371026i | ||||
\(454\) | 13.0120 | − | 3.82066i | 0.610683 | − | 0.179313i | ||||
\(455\) | −0.621588 | − | 0.717351i | −0.0291405 | − | 0.0336299i | ||||
\(456\) | −4.82449 | − | 1.41660i | −0.225927 | − | 0.0663382i | ||||
\(457\) | 6.50945 | + | 14.2537i | 0.304499 | + | 0.666760i | 0.998588 | − | 0.0531294i | \(-0.0169196\pi\) |
−0.694088 | + | 0.719890i | \(0.744192\pi\) | |||||||
\(458\) | −1.76005 | + | 12.2414i | −0.0822418 | + | 0.572004i | ||||
\(459\) | −5.40255 | −0.252170 | ||||||||
\(460\) | 3.26763 | + | 3.51036i | 0.152354 | + | 0.163671i | ||||
\(461\) | −28.1694 | −1.31198 | −0.655991 | − | 0.754769i | \(-0.727749\pi\) | ||||
−0.655991 | + | 0.754769i | \(0.727749\pi\) | |||||||
\(462\) | 0.123406 | − | 0.858311i | 0.00574139 | − | 0.0399322i | ||||
\(463\) | −3.15628 | − | 6.91129i | −0.146685 | − | 0.321195i | 0.822000 | − | 0.569487i | \(-0.192858\pi\) |
−0.968685 | + | 0.248292i | \(0.920131\pi\) | |||||||
\(464\) | −0.347393 | − | 0.102004i | −0.0161273 | − | 0.00473540i | ||||
\(465\) | −3.52295 | − | 4.06570i | −0.163373 | − | 0.188543i | ||||
\(466\) | 12.6434 | − | 3.71243i | 0.585692 | − | 0.171975i | ||||
\(467\) | 2.14509 | + | 1.37857i | 0.0992631 | + | 0.0637925i | 0.589331 | − | 0.807892i | \(-0.299392\pi\) |
−0.490068 | + | 0.871684i | \(0.663028\pi\) | |||||||
\(468\) | −1.08112 | + | 2.36733i | −0.0499748 | + | 0.109430i | ||||
\(469\) | 1.74795 | − | 2.01724i | 0.0807126 | − | 0.0931473i | ||||
\(470\) | 4.47252 | − | 2.87431i | 0.206302 | − | 0.132582i | ||||
\(471\) | 1.90156 | + | 13.2256i | 0.0876192 | + | 0.609405i | ||||
\(472\) | 0.401114 | + | 2.78981i | 0.0184628 | + | 0.128411i | ||||
\(473\) | 13.1975 | − | 8.48149i | 0.606820 | − | 0.389979i | ||||
\(474\) | 7.66546 | − | 8.84642i | 0.352086 | − | 0.406329i | ||||
\(475\) | 2.08877 | − | 4.57378i | 0.0958395 | − | 0.209859i | ||||
\(476\) | −1.65763 | − | 1.06529i | −0.0759773 | − | 0.0488276i | ||||
\(477\) | −8.10736 | + | 2.38053i | −0.371210 | + | 0.108997i | ||||
\(478\) | −9.76041 | − | 11.2641i | −0.446431 | − | 0.515208i | ||||
\(479\) | −28.2534 | − | 8.29594i | −1.29093 | − | 0.379051i | −0.437010 | − | 0.899457i | \(-0.643963\pi\) |
−0.853919 | + | 0.520406i | \(0.825781\pi\) | |||||||
\(480\) | 0.415415 | + | 0.909632i | 0.0189610 | + | 0.0415188i | ||||
\(481\) | 2.34334 | − | 16.2983i | 0.106847 | − | 0.743138i | ||||
\(482\) | 26.8606 | 1.22347 | ||||||||
\(483\) | 0.310401 | + | 1.72138i | 0.0141237 | + | 0.0783256i | ||||
\(484\) | −5.34734 | −0.243061 | ||||||||
\(485\) | −1.04157 | + | 7.24426i | −0.0472951 | + | 0.328945i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | 6.85165 | + | 2.01183i | 0.310478 | + | 0.0911645i | 0.433260 | − | 0.901269i | \(-0.357363\pi\) |
−0.122782 | + | 0.992434i | \(0.539182\pi\) | |||||||
\(488\) | 6.80672 | + | 7.85538i | 0.308126 | + | 0.355596i | ||||
\(489\) | −13.1941 | + | 3.87414i | −0.596658 | + | 0.175195i | ||||
\(490\) | 5.77687 | + | 3.71257i | 0.260972 | + | 0.167717i | ||||
\(491\) | 3.38170 | − | 7.40489i | 0.152614 | − | 0.334178i | −0.817847 | − | 0.575435i | \(-0.804833\pi\) |
0.970461 | + | 0.241258i | \(0.0775599\pi\) | |||||||
\(492\) | 3.08286 | − | 3.55781i | 0.138986 | − | 0.160399i | ||||
\(493\) | 1.64553 | − | 1.05752i | 0.0741108 | − | 0.0476281i | ||||
\(494\) | −1.86231 | − | 12.9526i | −0.0837892 | − | 0.582767i | ||||
\(495\) | −0.338358 | − | 2.35333i | −0.0152081 | − | 0.105774i | ||||
\(496\) | −4.52569 | + | 2.90848i | −0.203209 | + | 0.130595i | ||||
\(497\) | −3.02031 | + | 3.48562i | −0.135479 | + | 0.156352i | ||||
\(498\) | −0.330086 | + | 0.722787i | −0.0147915 | + | 0.0323889i | ||||
\(499\) | 35.9650 | + | 23.1133i | 1.61001 | + | 1.03469i | 0.961994 | + | 0.273070i | \(0.0880391\pi\) |
0.648020 | + | 0.761623i | \(0.275597\pi\) | |||||||
\(500\) | −0.959493 | + | 0.281733i | −0.0429098 | + | 0.0125995i | ||||
\(501\) | 1.04858 | + | 1.21013i | 0.0468473 | + | 0.0540646i | ||||
\(502\) | −10.3410 | − | 3.03638i | −0.461540 | − | 0.135520i | ||||
\(503\) | −11.2833 | − | 24.7070i | −0.503097 | − | 1.10163i | −0.975450 | − | 0.220219i | \(-0.929323\pi\) |
0.472353 | − | 0.881409i | \(-0.343405\pi\) | |||||||
\(504\) | −0.0519053 | + | 0.361009i | −0.00231205 | + | 0.0160806i | ||||
\(505\) | −11.6673 | −0.519187 | ||||||||
\(506\) | −10.8191 | + | 3.59979i | −0.480967 | + | 0.160030i | ||||
\(507\) | 6.22695 | 0.276548 | ||||||||
\(508\) | 0.375850 | − | 2.61409i | 0.0166756 | − | 0.115982i | ||||
\(509\) | −7.08695 | − | 15.5183i | −0.314124 | − | 0.687835i | 0.685049 | − | 0.728497i | \(-0.259781\pi\) |
−0.999173 | + | 0.0406619i | \(0.987053\pi\) | |||||||
\(510\) | −5.18371 | − | 1.52207i | −0.229539 | − | 0.0673986i | ||||
\(511\) | 3.17297 | + | 3.66181i | 0.140364 | + | 0.161989i | ||||
\(512\) | 0.959493 | − | 0.281733i | 0.0424040 | − | 0.0124509i | ||||
\(513\) | −4.22996 | − | 2.71843i | −0.186757 | − | 0.120022i | ||||
\(514\) | −8.57913 | + | 18.7857i | −0.378409 | + | 0.828600i | ||||
\(515\) | −7.04407 | + | 8.12930i | −0.310399 | + | 0.358220i | ||||
\(516\) | −5.55091 | + | 3.56735i | −0.244365 | + | 0.157044i | ||||
\(517\) | 1.79888 | + | 12.5115i | 0.0791145 | + | 0.550254i | ||||
\(518\) | −0.328401 | − | 2.28408i | −0.0144291 | − | 0.100357i | ||||
\(519\) | 1.22544 | − | 0.787540i | 0.0537907 | − | 0.0345692i | ||||
\(520\) | −1.70428 | + | 1.96685i | −0.0747377 | + | 0.0862519i | ||||
\(521\) | 10.3109 | − | 22.5777i | 0.451728 | − | 0.989147i | −0.537567 | − | 0.843221i | \(-0.680657\pi\) |
0.989296 | − | 0.145926i | \(-0.0466161\pi\) | |||||||
\(522\) | −0.304583 | − | 0.195744i | −0.0133312 | − | 0.00856747i | ||||
\(523\) | 14.8893 | − | 4.37189i | 0.651063 | − | 0.191169i | 0.0605090 | − | 0.998168i | \(-0.480728\pi\) |
0.590554 | + | 0.806998i | \(0.298909\pi\) | |||||||
\(524\) | −10.4873 | − | 12.1030i | −0.458139 | − | 0.528721i | ||||
\(525\) | −0.349948 | − | 0.102754i | −0.0152730 | − | 0.00448455i | ||||
\(526\) | 6.92418 | + | 15.1618i | 0.301909 | + | 0.661088i | ||||
\(527\) | 4.13625 | − | 28.7683i | 0.180178 | − | 1.25317i | ||||
\(528\) | −2.37753 | −0.103469 | ||||||||
\(529\) | 18.4151 | − | 13.7799i | 0.800656 | − | 0.599124i | ||||
\(530\) | −8.44963 | −0.367028 | ||||||||
\(531\) | −0.401114 | + | 2.78981i | −0.0174069 | + | 0.121067i | ||||
\(532\) | −0.761821 | − | 1.66816i | −0.0330291 | − | 0.0723237i | ||||
\(533\) | 11.7554 | + | 3.45171i | 0.509185 | + | 0.149510i | ||||
\(534\) | 8.14416 | + | 9.39886i | 0.352432 | + | 0.406728i | ||||
\(535\) | −8.01714 | + | 2.35405i | −0.346611 | + | 0.101774i | ||||
\(536\) | −6.15665 | − | 3.95664i | −0.265927 | − | 0.170901i | ||||
\(537\) | −0.491798 | + | 1.07689i | −0.0212227 | + | 0.0464711i | ||||
\(538\) | 8.49129 | − | 9.79947i | 0.366086 | − | 0.422485i | ||||
\(539\) | −13.7347 | + | 8.82675i | −0.591595 | + | 0.380195i | ||||
\(540\) | 0.142315 | + | 0.989821i | 0.00612426 | + | 0.0425951i | ||||
\(541\) | −3.15156 | − | 21.9196i | −0.135496 | − | 0.942396i | −0.938218 | − | 0.346043i | \(-0.887525\pi\) |
0.802722 | − | 0.596353i | \(-0.203384\pi\) | |||||||
\(542\) | 23.0329 | − | 14.8024i | 0.989349 | − | 0.635816i | ||||
\(543\) | −11.4716 | + | 13.2389i | −0.492293 | + | 0.568136i | ||||
\(544\) | −2.24430 | + | 4.91433i | −0.0962236 | + | 0.210700i | ||||
\(545\) | 10.9017 | + | 7.00607i | 0.466976 | + | 0.300107i | ||||
\(546\) | −0.910742 | + | 0.267418i | −0.0389762 | + | 0.0114444i | ||||
\(547\) | 7.74065 | + | 8.93319i | 0.330966 | + | 0.381956i | 0.896705 | − | 0.442629i | \(-0.145954\pi\) |
−0.565738 | + | 0.824585i | \(0.691409\pi\) | |||||||
\(548\) | 14.3066 | + | 4.20080i | 0.611148 | + | 0.179449i | ||||
\(549\) | 4.31789 | + | 9.45485i | 0.184283 | + | 0.403523i | ||||
\(550\) | 0.338358 | − | 2.35333i | 0.0144276 | − | 0.100346i | ||||
\(551\) | 1.82049 | 0.0775555 | ||||||||
\(552\) | 4.55055 | − | 1.51409i | 0.193684 | − | 0.0644438i | ||||
\(553\) | 4.26924 | 0.181547 | ||||||||
\(554\) | 1.47351 | − | 10.2485i | 0.0626034 | − | 0.435416i | ||||
\(555\) | −2.62830 | − | 5.75518i | −0.111565 | − | 0.244294i | ||||
\(556\) | −4.73050 | − | 1.38900i | −0.200618 | − | 0.0589068i | ||||
\(557\) | 20.5697 | + | 23.7387i | 0.871565 | + | 1.00584i | 0.999900 | + | 0.0141093i | \(0.00449127\pi\) |
−0.128335 | + | 0.991731i | \(0.540963\pi\) | |||||||
\(558\) | −5.16178 | + | 1.51564i | −0.218516 | + | 0.0641620i | ||||
\(559\) | −14.4463 | − | 9.28406i | −0.611013 | − | 0.392674i | ||||
\(560\) | −0.151511 | + | 0.331762i | −0.00640250 | + | 0.0140195i | ||||
\(561\) | 8.41152 | − | 9.70741i | 0.355134 | − | 0.409847i | ||||
\(562\) | −0.528173 | + | 0.339436i | −0.0222796 | + | 0.0143183i | ||||
\(563\) | −4.69332 | − | 32.6427i | −0.197800 | − | 1.37573i | −0.810651 | − | 0.585530i | \(-0.800887\pi\) |
0.612851 | − | 0.790198i | \(-0.290022\pi\) | |||||||
\(564\) | −0.756616 | − | 5.26238i | −0.0318593 | − | 0.221586i | ||||
\(565\) | 3.35112 | − | 2.15363i | 0.140983 | − | 0.0906041i | ||||
\(566\) | 17.6306 | − | 20.3468i | 0.741068 | − | 0.855239i | ||||
\(567\) | −0.151511 | + | 0.331762i | −0.00636286 | + | 0.0139327i | ||||
\(568\) | 10.6382 | + | 6.83675i | 0.446369 | + | 0.286864i | ||||
\(569\) | −16.1622 | + | 4.74564i | −0.677553 | + | 0.198947i | −0.602364 | − | 0.798222i | \(-0.705774\pi\) |
−0.0751892 | + | 0.997169i | \(0.523956\pi\) | |||||||
\(570\) | −3.29275 | − | 3.80003i | −0.137918 | − | 0.159166i | ||||
\(571\) | −12.8868 | − | 3.78392i | −0.539297 | − | 0.158352i | 0.000729521 | − | 1.00000i | \(-0.499768\pi\) |
−0.540027 | + | 0.841648i | \(0.681586\pi\) | |||||||
\(572\) | −2.57040 | − | 5.62839i | −0.107474 | − | 0.235335i | ||||
\(573\) | −0.237941 | + | 1.65491i | −0.00994011 | + | 0.0691350i | ||||
\(574\) | 1.71699 | 0.0716656 | ||||||||
\(575\) | 0.851063 | + | 4.71971i | 0.0354918 | + | 0.196826i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 4.65987 | − | 32.4101i | 0.193993 | − | 1.34925i | −0.627315 | − | 0.778765i | \(-0.715846\pi\) |
0.821308 | − | 0.570485i | \(-0.193245\pi\) | |||||||
\(578\) | −5.06290 | − | 11.0862i | −0.210589 | − | 0.461125i | ||||
\(579\) | −12.8845 | − | 3.78322i | −0.535460 | − | 0.157225i | ||||
\(580\) | −0.237098 | − | 0.273626i | −0.00984496 | − | 0.0113617i | ||||
\(581\) | −0.278066 | + | 0.0816476i | −0.0115361 | + | 0.00338731i | ||||
\(582\) | 6.15693 | + | 3.95682i | 0.255213 | + | 0.164015i | ||||
\(583\) | 8.34538 | − | 18.2738i | 0.345630 | − | 0.756825i | ||||
\(584\) | 8.69971 | − | 10.0400i | 0.359997 | − | 0.415458i | ||||
\(585\) | −2.18937 | + | 1.40702i | −0.0905193 | + | 0.0581732i | ||||
\(586\) | 2.62090 | + | 18.2288i | 0.108269 | + | 0.753024i | ||||
\(587\) | 3.04826 | + | 21.2011i | 0.125815 | + | 0.875064i | 0.950777 | + | 0.309876i | \(0.100287\pi\) |
−0.824962 | + | 0.565189i | \(0.808803\pi\) | |||||||
\(588\) | 5.77687 | − | 3.71257i | 0.238234 | − | 0.153104i | ||||
\(589\) | 17.7140 | − | 20.4430i | 0.729892 | − | 0.842340i | ||||
\(590\) | −1.17085 | + | 2.56379i | −0.0482029 | + | 0.105550i | ||||
\(591\) | −8.59684 | − | 5.52485i | −0.353627 | − | 0.227262i | ||||
\(592\) | −6.07064 | + | 1.78250i | −0.249502 | + | 0.0732604i | ||||
\(593\) | 18.2669 | + | 21.0812i | 0.750133 | + | 0.865700i | 0.994581 | − | 0.103962i | \(-0.0331521\pi\) |
−0.244448 | + | 0.969662i | \(0.578607\pi\) | |||||||
\(594\) | −2.28123 | − | 0.669828i | −0.0935998 | − | 0.0274834i | ||||
\(595\) | −0.818545 | − | 1.79236i | −0.0335571 | − | 0.0734797i | ||||
\(596\) | −2.72811 | + | 18.9744i | −0.111748 | + | 0.777222i | ||||
\(597\) | −7.07272 | −0.289467 | ||||||||
\(598\) | 8.50403 | + | 9.13573i | 0.347756 | + | 0.373588i | ||||
\(599\) | 14.2563 | 0.582496 | 0.291248 | − | 0.956648i | \(-0.405929\pi\) | ||||
0.291248 | + | 0.956648i | \(0.405929\pi\) | |||||||
\(600\) | −0.142315 | + | 0.989821i | −0.00580998 | + | 0.0404093i | ||||
\(601\) | 3.40957 | + | 7.46592i | 0.139079 | + | 0.304541i | 0.966336 | − | 0.257283i | \(-0.0828271\pi\) |
−0.827257 | + | 0.561824i | \(0.810100\pi\) | |||||||
\(602\) | −2.30909 | − | 0.678009i | −0.0941113 | − | 0.0276336i | ||||
\(603\) | −4.79255 | − | 5.53089i | −0.195168 | − | 0.225235i | ||||
\(604\) | 1.40148 | − | 0.411511i | 0.0570254 | − | 0.0167442i | ||||
\(605\) | −4.49847 | − | 2.89099i | −0.182889 | − | 0.117536i | ||||
\(606\) | −4.84676 | + | 10.6129i | −0.196886 | + | 0.431120i | ||||
\(607\) | 11.9335 | − | 13.7720i | 0.484366 | − | 0.558989i | −0.459985 | − | 0.887927i | \(-0.652145\pi\) |
0.944352 | + | 0.328938i | \(0.106691\pi\) | |||||||
\(608\) | −4.22996 | + | 2.71843i | −0.171548 | + | 0.110247i | ||||
\(609\) | −0.0187928 | − | 0.130707i | −0.000761521 | − | 0.00529650i | ||||
\(610\) | 1.47924 | + | 10.2884i | 0.0598928 | + | 0.416563i | ||||
\(611\) | 11.6398 | − | 7.48042i | 0.470894 | − | 0.302625i | ||||
\(612\) | −3.53792 | + | 4.08298i | −0.143012 | + | 0.165045i | ||||
\(613\) | −2.33929 | + | 5.12234i | −0.0944831 | + | 0.206889i | −0.950972 | − | 0.309275i | \(-0.899913\pi\) |
0.856489 | + | 0.516165i | \(0.172641\pi\) | |||||||
\(614\) | 25.9399 | + | 16.6705i | 1.04685 | + | 0.672768i | ||||
\(615\) | 4.51697 | − | 1.32630i | 0.182142 | − | 0.0534816i | ||||
\(616\) | −0.567854 | − | 0.655339i | −0.0228795 | − | 0.0264043i | ||||
\(617\) | 1.28863 | + | 0.378375i | 0.0518782 | + | 0.0152328i | 0.307569 | − | 0.951526i | \(-0.400485\pi\) |
−0.255690 | + | 0.966759i | \(0.582303\pi\) | |||||||
\(618\) | 4.46845 | + | 9.78455i | 0.179748 | + | 0.393592i | ||||
\(619\) | 1.99390 | − | 13.8679i | 0.0801418 | − | 0.557398i | −0.909704 | − | 0.415256i | \(-0.863692\pi\) |
0.989846 | − | 0.142142i | \(-0.0453990\pi\) | |||||||
\(620\) | −5.37970 | −0.216054 | ||||||||
\(621\) | 4.79279 | − | 0.170715i | 0.192328 | − | 0.00685055i | ||||
\(622\) | −11.1259 | −0.446108 | ||||||||
\(623\) | −0.645519 | + | 4.48968i | −0.0258622 | + | 0.179875i | ||||
\(624\) | 1.08112 | + | 2.36733i | 0.0432795 | + | 0.0947689i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | −7.87912 | − | 9.09299i | −0.314913 | − | 0.363429i | ||||
\(627\) | 11.4704 | − | 3.36800i | 0.458082 | − | 0.134505i | ||||
\(628\) | 11.2405 | + | 7.22384i | 0.448545 | + | 0.288263i | ||||
\(629\) | 14.1995 | − | 31.0926i | 0.566172 | − | 1.23974i | ||||
\(630\) | −0.238842 | + | 0.275638i | −0.00951569 | + | 0.0109817i | ||||
\(631\) | −31.6154 | + | 20.3180i | −1.25859 | + | 0.808847i | −0.988091 | − | 0.153874i | \(-0.950825\pi\) |
−0.270499 | + | 0.962720i | \(0.587189\pi\) | |||||||
\(632\) | −1.66586 | − | 11.5863i | −0.0662645 | − | 0.460880i | ||||
\(633\) | −1.02215 | − | 7.10918i | −0.0406267 | − | 0.282565i | ||||
\(634\) | −6.81535 | + | 4.37996i | −0.270672 | + | 0.173950i | ||||
\(635\) | 1.72947 | − | 1.99591i | 0.0686319 | − | 0.0792054i | ||||
\(636\) | −3.51010 | + | 7.68605i | −0.139185 | + | 0.304772i | ||||
\(637\) | 15.0344 | + | 9.66199i | 0.595683 | + | 0.382822i | ||||
\(638\) | 0.825937 | − | 0.242517i | 0.0326992 | − | 0.00960134i | ||||
\(639\) | 8.28114 | + | 9.55694i | 0.327597 | + | 0.378067i | ||||
\(640\) | 0.959493 | + | 0.281733i | 0.0379273 | + | 0.0111365i | ||||
\(641\) | −19.0569 | − | 41.7288i | −0.752703 | − | 1.64819i | −0.761446 | − | 0.648228i | \(-0.775510\pi\) |
0.00874313 | − | 0.999962i | \(-0.497217\pi\) | |||||||
\(642\) | −1.18913 | + | 8.27056i | −0.0469311 | + | 0.326413i | ||||
\(643\) | −42.0924 | −1.65996 | −0.829981 | − | 0.557791i | \(-0.811649\pi\) | ||||
−0.829981 | + | 0.557791i | \(0.811649\pi\) | |||||||
\(644\) | 1.50420 | + | 0.892680i | 0.0592739 | + | 0.0351765i | ||||
\(645\) | −6.59837 | −0.259811 | ||||||||
\(646\) | 3.86597 | − | 26.8884i | 0.152105 | − | 1.05791i | ||||
\(647\) | −15.9076 | − | 34.8328i | −0.625392 | − | 1.36942i | −0.911532 | − | 0.411229i | \(-0.865100\pi\) |
0.286140 | − | 0.958188i | \(-0.407628\pi\) | |||||||
\(648\) | 0.959493 | + | 0.281733i | 0.0376924 | + | 0.0110675i | ||||
\(649\) | −4.38826 | − | 5.06432i | −0.172254 | − | 0.198792i | ||||
\(650\) | −2.49709 | + | 0.733211i | −0.0979439 | + | 0.0287589i | ||||
\(651\) | −1.65062 | − | 1.06079i | −0.0646928 | − | 0.0415755i | ||||
\(652\) | −5.71242 | + | 12.5085i | −0.223716 | + | 0.489869i | ||||
\(653\) | 4.64229 | − | 5.35749i | 0.181667 | − | 0.209655i | −0.657611 | − | 0.753358i | \(-0.728433\pi\) |
0.839278 | + | 0.543703i | \(0.182978\pi\) | |||||||
\(654\) | 10.9017 | − | 7.00607i | 0.426289 | − | 0.273959i | ||||
\(655\) | −2.27911 | − | 15.8515i | −0.0890520 | − | 0.619371i | ||||
\(656\) | −0.669970 | − | 4.65974i | −0.0261579 | − | 0.181932i | ||||
\(657\) | 11.1759 | − | 7.18232i | 0.436014 | − | 0.280209i | ||||
\(658\) | 1.26980 | − | 1.46543i | 0.0495020 | − | 0.0571283i | ||||
\(659\) | 3.71641 | − | 8.13781i | 0.144771 | − | 0.317004i | −0.823331 | − | 0.567562i | \(-0.807887\pi\) |
0.968102 | + | 0.250558i | \(0.0806140\pi\) | |||||||
\(660\) | −2.00011 | − | 1.28539i | −0.0778541 | − | 0.0500338i | ||||
\(661\) | −0.842605 | + | 0.247411i | −0.0327735 | + | 0.00962317i | −0.298078 | − | 0.954541i | \(-0.596346\pi\) |
0.265305 | + | 0.964165i | \(0.414527\pi\) | |||||||
\(662\) | 3.37283 | + | 3.89246i | 0.131089 | + | 0.151285i | ||||
\(663\) | −13.4907 | − | 3.96121i | −0.523934 | − | 0.153841i | ||||
\(664\) | 0.330086 | + | 0.722787i | 0.0128098 | + | 0.0280496i | ||||
\(665\) | 0.260988 | − | 1.81521i | 0.0101207 | − | 0.0703909i | ||||
\(666\) | −6.32693 | −0.245163 | ||||||||
\(667\) | −1.42639 | + | 0.990156i | −0.0552299 | + | 0.0383390i | ||||
\(668\) | 1.60123 | 0.0619535 | ||||||||
\(669\) | 0.213671 | − | 1.48611i | 0.00826098 | − | 0.0574564i | ||||
\(670\) | −3.04018 | − | 6.65707i | −0.117452 | − | 0.257185i | ||||
\(671\) | −23.7114 | − | 6.96229i | −0.915368 | − | 0.268776i | ||||
\(672\) | 0.238842 | + | 0.275638i | 0.00921352 | + | 0.0106330i | ||||
\(673\) | −42.8829 | + | 12.5916i | −1.65302 | + | 0.485369i | −0.969607 | − | 0.244667i | \(-0.921321\pi\) |
−0.683408 | + | 0.730036i | \(0.739503\pi\) | |||||||
\(674\) | −1.06585 | − | 0.684978i | −0.0410549 | − | 0.0263844i | ||||
\(675\) | −0.415415 | + | 0.909632i | −0.0159893 | + | 0.0350118i | ||||
\(676\) | 4.07778 | − | 4.70601i | 0.156838 | − | 0.181000i | ||||
\(677\) | −3.98915 | + | 2.56367i | −0.153315 | + | 0.0985298i | −0.615049 | − | 0.788489i | \(-0.710864\pi\) |
0.461734 | + | 0.887019i | \(0.347228\pi\) | |||||||
\(678\) | −0.566909 | − | 3.94294i | −0.0217720 | − | 0.151428i | ||||
\(679\) | 0.379882 | + | 2.64214i | 0.0145785 | + | 0.101396i | ||||
\(680\) | −4.54492 | + | 2.92084i | −0.174290 | + | 0.112009i | ||||
\(681\) | 8.88077 | − | 10.2490i | 0.340312 | − | 0.392741i | ||||
\(682\) | 5.31333 | − | 11.6346i | 0.203458 | − | 0.445510i | ||||
\(683\) | 9.85109 | + | 6.33091i | 0.376942 | + | 0.242246i | 0.715369 | − | 0.698747i | \(-0.246259\pi\) |
−0.338427 | + | 0.940993i | \(0.609895\pi\) | |||||||
\(684\) | −4.82449 | + | 1.41660i | −0.184469 | + | 0.0541649i | ||||
\(685\) | 9.76436 | + | 11.2687i | 0.373077 | + | 0.430554i | ||||
\(686\) | 4.85272 | + | 1.42489i | 0.185278 | + | 0.0544024i | ||||
\(687\) | 5.13756 | + | 11.2497i | 0.196010 | + | 0.429203i | ||||
\(688\) | −0.939047 | + | 6.53121i | −0.0358008 | + | 0.249000i | ||||
\(689\) | −21.9902 | −0.837761 | ||||||||
\(690\) | 4.64675 | + | 1.18649i | 0.176899 | + | 0.0451687i | ||||
\(691\) | −14.1456 | −0.538123 | −0.269062 | − | 0.963123i | \(-0.586714\pi\) | ||||
−0.269062 | + | 0.963123i | \(0.586714\pi\) | |||||||
\(692\) | 0.207307 | − | 1.44185i | 0.00788063 | − | 0.0548110i | ||||
\(693\) | −0.360222 | − | 0.788776i | −0.0136837 | − | 0.0299631i | ||||
\(694\) | 24.4027 | + | 7.16529i | 0.926315 | + | 0.271991i | ||||
\(695\) | −3.22860 | − | 3.72600i | −0.122468 | − | 0.141335i | ||||
\(696\) | −0.347393 | + | 0.102004i | −0.0131679 | + | 0.00386644i | ||||
\(697\) | 21.3959 | + | 13.7503i | 0.810428 | + | 0.520831i | ||||
\(698\) | 2.24418 | − | 4.91407i | 0.0849436 | − | 0.186000i | ||||
\(699\) | 8.62918 | − | 9.95861i | 0.326386 | − | 0.376669i | ||||
\(700\) | −0.306823 | + | 0.197183i | −0.0115968 | + | 0.00745283i | ||||
\(701\) | 1.18895 | + | 8.26934i | 0.0449061 | + | 0.312329i | 0.999878 | + | 0.0156319i | \(0.00497599\pi\) |
−0.954972 | + | 0.296697i | \(0.904115\pi\) | |||||||
\(702\) | 0.370376 | + | 2.57602i | 0.0139789 | + | 0.0972256i | ||||
\(703\) | 26.7626 | − | 17.1993i | 1.00937 | − | 0.648684i | ||||
\(704\) | −1.55695 | + | 1.79682i | −0.0586798 | + | 0.0677202i | ||||
\(705\) | 2.20855 | − | 4.83605i | 0.0831788 | − | 0.182136i | ||||
\(706\) | 23.6900 | + | 15.2247i | 0.891587 | + | 0.572988i | ||||
\(707\) | −4.08293 | + | 1.19886i | −0.153555 | + | 0.0450877i | ||||
\(708\) | 1.84572 | + | 2.13008i | 0.0693665 | + | 0.0800532i | ||||
\(709\) | 10.4864 | + | 3.07908i | 0.393824 | + | 0.115637i | 0.472648 | − | 0.881251i | \(-0.343298\pi\) |
−0.0788238 | + | 0.996889i | \(0.525116\pi\) | |||||||
\(710\) | 5.25319 | + | 11.5029i | 0.197149 | + | 0.431695i | ||||
\(711\) | 1.66586 | − | 11.5863i | 0.0624748 | − | 0.434522i | ||||
\(712\) | 12.4365 | 0.466076 | ||||||||
\(713\) | −2.76037 | + | 25.6520i | −0.103377 | + | 0.960676i | ||||
\(714\) | −1.97043 | −0.0737414 | ||||||||
\(715\) | 0.880580 | − | 6.12457i | 0.0329318 | − | 0.229046i | ||||
\(716\) | 0.491798 | + | 1.07689i | 0.0183794 | + | 0.0402452i | ||||
\(717\) | −14.3008 | − | 4.19910i | −0.534074 | − | 0.156818i | ||||
\(718\) | −9.53041 | − | 10.9987i | −0.355672 | − | 0.410467i | ||||
\(719\) | 48.0975 | − | 14.1227i | 1.79373 | − | 0.526687i | 0.796750 | − | 0.604309i | \(-0.206551\pi\) |
0.996983 | + | 0.0776218i | \(0.0247327\pi\) | |||||||
\(720\) | 0.841254 | + | 0.540641i | 0.0313517 | + | 0.0201485i | ||||
\(721\) | −1.62974 | + | 3.56864i | −0.0606947 | + | 0.132903i | ||||
\(722\) | 4.11411 | − | 4.74793i | 0.153111 | − | 0.176700i | ||||
\(723\) | 22.5966 | − | 14.5220i | 0.840377 | − | 0.540077i | ||||
\(724\) | 2.49301 | + | 17.3393i | 0.0926521 | + | 0.644410i | ||||
\(725\) | −0.0515263 | − | 0.358373i | −0.00191364 | − | 0.0133097i | ||||
\(726\) | −4.49847 | + | 2.89099i | −0.166954 | + | 0.107295i | ||||
\(727\) | 22.0593 | − | 25.4578i | 0.818134 | − | 0.944177i | −0.181094 | − | 0.983466i | \(-0.557964\pi\) |
0.999228 | + | 0.0392892i | \(0.0125094\pi\) | |||||||
\(728\) | −0.394308 | + | 0.863415i | −0.0146140 | + | 0.0320003i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 12.7467 | − | 3.74277i | 0.471777 | − | 0.138526i | ||||
\(731\) | −23.3445 | − | 26.9410i | −0.863428 | − | 0.996449i | ||||
\(732\) | 9.97311 | + | 2.92837i | 0.368617 | + | 0.108236i | ||||
\(733\) | −4.27920 | − | 9.37015i | −0.158056 | − | 0.346094i | 0.813992 | − | 0.580876i | \(-0.197290\pi\) |
−0.972048 | + | 0.234782i | \(0.924563\pi\) | |||||||
\(734\) | 0.761359 | − | 5.29537i | 0.0281023 | − | 0.195456i | ||||
\(735\) | 6.86698 | 0.253292 | ||||||||
\(736\) | 1.83571 | − | 4.43059i | 0.0676652 | − | 0.163314i | ||||
\(737\) | 17.3998 | 0.640929 | ||||||||
\(738\) | 0.669970 | − | 4.65974i | 0.0246619 | − | 0.171528i | ||||
\(739\) | −14.7699 | − | 32.3417i | −0.543321 | − | 1.18971i | −0.959832 | − | 0.280576i | \(-0.909474\pi\) |
0.416511 | − | 0.909131i | \(-0.363253\pi\) | |||||||
\(740\) | −6.07064 | − | 1.78250i | −0.223161 | − | 0.0655261i | ||||
\(741\) | −8.56940 | − | 9.88962i | −0.314805 | − | 0.363304i | ||||
\(742\) | −2.95693 | + | 0.868232i | −0.108552 | + | 0.0318738i | ||||
\(743\) | 29.1297 | + | 18.7205i | 1.06867 | + | 0.686789i | 0.951912 | − | 0.306371i | \(-0.0991150\pi\) |
0.116753 | + | 0.993161i | \(0.462751\pi\) | |||||||
\(744\) | −2.23481 | + | 4.89355i | −0.0819320 | + | 0.179406i | ||||
\(745\) | −12.5534 | + | 14.4874i | −0.459920 | + | 0.530776i | ||||
\(746\) | −11.0664 | + | 7.11197i | −0.405171 | + | 0.260388i | ||||
\(747\) | 0.113082 | + | 0.786505i | 0.00413747 | + | 0.0287767i | ||||
\(748\) | −1.82800 | − | 12.7140i | −0.0668382 | − | 0.464870i | ||||
\(749\) | −2.56369 | + | 1.64759i | −0.0936753 | + | 0.0602015i | ||||
\(750\) | −0.654861 | + | 0.755750i | −0.0239121 | + | 0.0275961i | ||||
\(751\) | 18.2930 | − | 40.0560i | 0.667519 | − | 1.46166i | −0.207826 | − | 0.978166i | \(-0.566639\pi\) |
0.875346 | − | 0.483498i | \(-0.160634\pi\) | |||||||
\(752\) | −4.47252 | − | 2.87431i | −0.163096 | − | 0.104815i | ||||
\(753\) | −10.3410 | + | 3.03638i | −0.376846 | + | 0.110652i | ||||
\(754\) | −0.617050 | − | 0.712113i | −0.0224716 | − | 0.0259336i | ||||
\(755\) | 1.40148 | + | 0.411511i | 0.0510050 | + | 0.0149764i | ||||
\(756\) | 0.151511 | + | 0.331762i | 0.00551040 | + | 0.0120661i | ||||
\(757\) | −0.594020 | + | 4.13150i | −0.0215900 | + | 0.150162i | −0.997765 | − | 0.0668239i | \(-0.978713\pi\) |
0.976175 | + | 0.216986i | \(0.0696225\pi\) | |||||||
\(758\) | 12.7334 | 0.462497 | ||||||||
\(759\) | −7.15540 | + | 8.87757i | −0.259725 | + | 0.322236i | ||||
\(760\) | −5.02816 | −0.182391 | ||||||||
\(761\) | −4.86810 | + | 33.8584i | −0.176469 | + | 1.22737i | 0.688386 | + | 0.725344i | \(0.258319\pi\) |
−0.864855 | + | 0.502022i | \(0.832590\pi\) | |||||||
\(762\) | −1.09710 | − | 2.40231i | −0.0397437 | − | 0.0870266i | ||||
\(763\) | 4.53491 | + | 1.33157i | 0.164175 | + | 0.0482061i | ||||
\(764\) | 1.09488 | + | 1.26356i | 0.0396114 | + | 0.0457140i | ||||
\(765\) | −5.18371 | + | 1.52207i | −0.187417 | + | 0.0550307i | ||||
\(766\) | −15.5141 | − | 9.97034i | −0.560549 | − | 0.360243i | ||||
\(767\) | −3.04714 | + | 6.67230i | −0.110026 | + | 0.240923i | ||||
\(768\) | 0.654861 | − | 0.755750i | 0.0236303 | − | 0.0272708i | ||||
\(769\) | 43.6014 | − | 28.0209i | 1.57231 | − | 1.01046i | 0.593706 | − | 0.804682i | \(-0.297664\pi\) |
0.978599 | − | 0.205777i | \(-0.0659722\pi\) | |||||||
\(770\) | −0.123406 | − | 0.858311i | −0.00444726 | − | 0.0309314i | ||||
\(771\) | 2.93908 | + | 20.4417i | 0.105848 | + | 0.736191i | ||||
\(772\) | −11.2967 | + | 7.25994i | −0.406577 | + | 0.261291i | ||||
\(773\) | −25.0557 | + | 28.9158i | −0.901191 | + | 1.04003i | 0.0978042 | + | 0.995206i | \(0.468818\pi\) |
−0.998995 | + | 0.0448239i | \(0.985727\pi\) | |||||||
\(774\) | −2.74106 | + | 6.00209i | −0.0985255 | + | 0.215741i | ||||
\(775\) | −4.52569 | − | 2.90848i | −0.162568 | − | 0.104476i | ||||
\(776\) | 7.02229 | − | 2.06193i | 0.252086 | − | 0.0740190i | ||||
\(777\) | −1.51114 | − | 1.74394i | −0.0542117 | − | 0.0625636i | ||||
\(778\) | 19.0553 | + | 5.59514i | 0.683166 | + | 0.200596i | ||||
\(779\) | 9.83324 | + | 21.5318i | 0.352312 | + | 0.771456i | ||||
\(780\) | −0.370376 | + | 2.57602i | −0.0132616 | + | 0.0922363i | ||||
\(781\) | −30.0654 | −1.07583 | ||||||||
\(782\) | 11.5954 | + | 23.1702i | 0.414651 | + | 0.828566i | ||||
\(783\) | −0.362059 | −0.0129389 | ||||||||
\(784\) | 0.977273 | − | 6.79708i | 0.0349026 | − | 0.242753i | ||||
\(785\) | 5.55062 | + | 12.1542i | 0.198110 | + | 0.433801i | ||||
\(786\) | −15.3658 | − | 4.51182i | −0.548081 | − | 0.160931i | ||||
\(787\) | 8.54765 | + | 9.86451i | 0.304691 | + | 0.351632i | 0.887360 | − | 0.461078i | \(-0.152537\pi\) |
−0.582669 | + | 0.812710i | \(0.697992\pi\) | |||||||
\(788\) | −9.80514 | + | 2.87905i | −0.349294 | + | 0.102562i | ||||
\(789\) | 14.0221 | + | 9.01146i | 0.499200 | + | 0.320816i | ||||
\(790\) | 4.86263 | − | 10.6477i | 0.173005 | − | 0.378828i | ||||
\(791\) | 0.951423 | − | 1.09800i | 0.0338287 | − | 0.0390404i | ||||
\(792\) | −2.00011 | + | 1.28539i | −0.0710707 | + | 0.0456744i | ||||
\(793\) | 3.84974 | + | 26.7755i | 0.136708 | + | 0.950827i | ||||
\(794\) | −5.14372 | − | 35.7753i | −0.182544 | − | 1.26962i | ||||
\(795\) | −7.10828 | + | 4.56821i | −0.252105 | + | 0.162018i | ||||
\(796\) | −4.63165 | + | 5.34521i | −0.164164 | + | 0.189456i | ||||
\(797\) | 15.5690 | − | 34.0915i | 0.551484 | − | 1.20758i | −0.404602 | − | 0.914493i | \(-0.632590\pi\) |
0.956085 | − | 0.293088i | \(-0.0946830\pi\) | |||||||
\(798\) | −1.54276 | − | 0.991470i | −0.0546130 | − | 0.0350977i | ||||
\(799\) | 27.5591 | − | 8.09210i | 0.974973 | − | 0.286278i | ||||
\(800\) | 0.654861 | + | 0.755750i | 0.0231528 | + | 0.0267198i | ||||
\(801\) | 11.9327 | + | 3.50376i | 0.421621 | + | 0.123799i | ||||
\(802\) | 9.04939 | + | 19.8154i | 0.319545 | + | 0.699706i | ||||
\(803\) | −4.49503 | + | 31.2636i | −0.158626 | + | 1.10327i | ||||
\(804\) | −7.31842 | −0.258101 | ||||||||
\(805\) | 0.782797 | + | 1.56420i | 0.0275900 | + | 0.0551309i | ||||
\(806\) | −14.0007 | −0.493154 | ||||||||
\(807\) | 1.84533 | − | 12.8346i | 0.0649588 | − | 0.451799i | ||||
\(808\) | 4.84676 | + | 10.6129i | 0.170508 | + | 0.373361i | ||||
\(809\) | −17.7762 | − | 5.21958i | −0.624980 | − | 0.183511i | −0.0461175 | − | 0.998936i | \(-0.514685\pi\) |
−0.578862 | + | 0.815425i | \(0.696503\pi\) | |||||||
\(810\) | 0.654861 | + | 0.755750i | 0.0230095 | + | 0.0265543i | ||||
\(811\) | −41.7881 | + | 12.2701i | −1.46738 | + | 0.430861i | −0.915246 | − | 0.402896i | \(-0.868004\pi\) |
−0.552132 | + | 0.833757i | \(0.686186\pi\) | |||||||
\(812\) | −0.111088 | − | 0.0713919i | −0.00389843 | − | 0.00250537i | ||||
\(813\) | 11.3738 | − | 24.9051i | 0.398895 | − | 0.873459i | ||||
\(814\) | 9.85072 | − | 11.3683i | 0.345268 | − | 0.398460i | ||||
\(815\) | −11.5682 | + | 7.43442i | −0.405216 | + | 0.260416i | ||||
\(816\) | 0.768863 | + | 5.34756i | 0.0269156 | + | 0.187202i | ||||
\(817\) | −4.72168 | − | 32.8400i | −0.165191 | − | 1.14893i | ||||
\(818\) | 6.16040 | − | 3.95905i | 0.215393 | − | 0.138425i | ||||
\(819\) | −0.621588 | + | 0.717351i | −0.0217200 | + | 0.0250663i | ||||
\(820\) | 1.95563 | − | 4.28224i | 0.0682937 | − | 0.149542i | ||||
\(821\) | 4.87354 | + | 3.13204i | 0.170088 | + | 0.109309i | 0.622915 | − | 0.782289i | \(-0.285948\pi\) |
−0.452827 | + | 0.891598i | \(0.649585\pi\) | |||||||
\(822\) | 14.3066 | − | 4.20080i | 0.499000 | − | 0.146520i | ||||
\(823\) | 7.28528 | + | 8.40766i | 0.253949 | + | 0.293073i | 0.868382 | − | 0.495897i | \(-0.165161\pi\) |
−0.614433 | + | 0.788969i | \(0.710615\pi\) | |||||||
\(824\) | 10.3209 | + | 3.03048i | 0.359545 | + | 0.105572i | ||||
\(825\) | −0.987662 | − | 2.16268i | −0.0343860 | − | 0.0752948i | ||||
\(826\) | −0.146295 | + | 1.01750i | −0.00509025 | + | 0.0354035i | ||||
\(827\) | −0.374086 | −0.0130082 | −0.00650412 | − | 0.999979i | \(-0.502070\pi\) | ||||
−0.00650412 | + | 0.999979i | \(0.502070\pi\) | |||||||
\(828\) | 3.00959 | − | 3.73395i | 0.104591 | − | 0.129764i | ||||
\(829\) | 6.46844 | 0.224658 | 0.112329 | − | 0.993671i | \(-0.464169\pi\) | ||||
0.112329 | + | 0.993671i | \(0.464169\pi\) | |||||||
\(830\) | −0.113082 | + | 0.786505i | −0.00392515 | + | 0.0273000i | ||||
\(831\) | −4.30115 | − | 9.41821i | −0.149205 | − | 0.326714i | ||||
\(832\) | 2.49709 | + | 0.733211i | 0.0865710 | + | 0.0254195i | ||||
\(833\) | 24.2948 | + | 28.0377i | 0.841765 | + | 0.971449i | ||||
\(834\) | −4.73050 | + | 1.38900i | −0.163804 | + | 0.0480972i | ||||
\(835\) | 1.34704 | + | 0.865691i | 0.0466163 | + | 0.0299585i | ||||
\(836\) | 4.96613 | − | 10.8743i | 0.171757 | − | 0.376096i | ||||
\(837\) | −3.52295 | + | 4.06570i | −0.121771 | + | 0.140531i | ||||
\(838\) | −6.45616 | + | 4.14912i | −0.223024 | + | 0.143329i | ||||
\(839\) | 4.18814 | + | 29.1291i | 0.144590 | + | 1.00565i | 0.924888 | + | 0.380240i | \(0.124159\pi\) |
−0.780297 | + | 0.625409i | \(0.784932\pi\) | |||||||
\(840\) | 0.0519053 | + | 0.361009i | 0.00179090 | + | 0.0124560i | ||||
\(841\) | −24.2861 | + | 15.6077i | −0.837451 | + | 0.538197i | ||||
\(842\) | 19.1863 | − | 22.1421i | 0.661202 | − | 0.763068i | ||||
\(843\) | −0.260814 | + | 0.571104i | −0.00898293 | + | 0.0196699i | ||||
\(844\) | −6.04212 | − | 3.88304i | −0.207978 | − | 0.133660i | ||||
\(845\) | 5.97471 | − | 1.75433i | 0.205536 | − | 0.0603509i | ||||
\(846\) | −3.48156 | − | 4.01794i | −0.119699 | − | 0.138139i | ||||
\(847\) | −1.87129 | − | 0.549460i | −0.0642983 | − | 0.0188797i | ||||
\(848\) | 3.51010 | + | 7.68605i | 0.120537 | + | 0.263940i | ||||
\(849\) | 3.83149 | − | 26.6486i | 0.131496 | − | 0.914578i | ||||
\(850\) | −5.40255 | −0.185306 | ||||||||
\(851\) | −11.6144 | + | 28.0321i | −0.398137 | + | 0.960926i | ||||
\(852\) | 12.6456 | 0.433233 | ||||||||
\(853\) | −4.12803 | + | 28.7111i | −0.141341 | + | 0.983049i | 0.788486 | + | 0.615052i | \(0.210865\pi\) |
−0.929827 | + | 0.367996i | \(0.880044\pi\) | |||||||
\(854\) | 1.57483 | + | 3.44839i | 0.0538894 | + | 0.118001i | ||||
\(855\) | −4.82449 | − | 1.41660i | −0.164994 | − | 0.0484466i | ||||
\(856\) | 5.47176 | + | 6.31474i | 0.187021 | + | 0.215834i | ||||
\(857\) | −36.0090 | + | 10.5732i | −1.23004 | + | 0.361173i | −0.831266 | − | 0.555875i | \(-0.812383\pi\) |
−0.398777 | + | 0.917048i | \(0.630565\pi\) | |||||||
\(858\) | −5.20530 | − | 3.34524i | −0.177706 | − | 0.114205i | ||||
\(859\) | −3.62327 | + | 7.93386i | −0.123624 | + | 0.270700i | −0.961318 | − | 0.275441i | \(-0.911176\pi\) |
0.837694 | + | 0.546140i | \(0.183904\pi\) | |||||||
\(860\) | −4.32102 | + | 4.98672i | −0.147345 | + | 0.170046i | ||||
\(861\) | 1.44442 | − | 0.928272i | 0.0492257 | − | 0.0316354i | ||||
\(862\) | 5.30266 | + | 36.8808i | 0.180609 | + | 1.25617i | ||||
\(863\) | −6.97211 | − | 48.4921i | −0.237333 | − | 1.65069i | −0.665066 | − | 0.746785i | \(-0.731597\pi\) |
0.427733 | − | 0.903905i | \(-0.359312\pi\) | |||||||
\(864\) | 0.841254 | − | 0.540641i | 0.0286200 | − | 0.0183930i | ||||
\(865\) | 0.953921 | − | 1.10088i | 0.0324343 | − | 0.0374312i | ||||
\(866\) | −7.04081 | + | 15.4172i | −0.239256 | + | 0.523898i | ||||
\(867\) | −10.2528 | − | 6.58910i | −0.348205 | − | 0.223777i | ||||
\(868\) | −1.88261 | + | 0.552785i | −0.0639001 | + | 0.0187628i | ||||
\(869\) | 18.2249 | + | 21.0326i | 0.618237 | + | 0.713483i | ||||
\(870\) | −0.347393 | − | 0.102004i | −0.0117777 | − | 0.00345825i | ||||
\(871\) | −7.91210 | − | 17.3251i | −0.268091 | − | 0.587038i | ||||
\(872\) | 1.84423 | − | 12.8269i | 0.0624536 | − | 0.434375i | ||||
\(873\) | 7.31875 | 0.247702 | ||||||||
\(874\) | −2.57999 | + | 23.9758i | −0.0872695 | + | 0.810994i | ||||
\(875\) | −0.364722 | −0.0123298 | ||||||||
\(876\) | 1.89063 | − | 13.1496i | 0.0638784 | − | 0.444284i | ||||
\(877\) | −17.2756 | − | 37.8283i | −0.583355 | − | 1.27737i | −0.939375 | − | 0.342892i | \(-0.888594\pi\) |
0.356020 | − | 0.934478i | \(-0.384134\pi\) | |||||||
\(878\) | 9.83699 | + | 2.88840i | 0.331982 | + | 0.0974788i | ||||
\(879\) | 12.0601 | + | 13.9181i | 0.406776 | + | 0.469445i | ||||
\(880\) | −2.28123 | + | 0.669828i | −0.0769001 | + | 0.0225799i | ||||
\(881\) | −22.5160 | − | 14.4702i | −0.758583 | − | 0.487512i | 0.103280 | − | 0.994652i | \(-0.467066\pi\) |
−0.861863 | + | 0.507140i | \(0.830703\pi\) | |||||||
\(882\) | 2.85265 | − | 6.24642i | 0.0960536 | − | 0.210328i | ||||
\(883\) | 32.8955 | − | 37.9635i | 1.10702 | − | 1.27757i | 0.149644 | − | 0.988740i | \(-0.452187\pi\) |
0.957379 | − | 0.288833i | \(-0.0932672\pi\) | |||||||
\(884\) | −11.8282 | + | 7.60151i | −0.397825 | + | 0.255667i | ||||
\(885\) | 0.401114 | + | 2.78981i | 0.0134833 | + | 0.0937783i | ||||
\(886\) | −0.0185909 | − | 0.129303i | −0.000624575 | − | 0.00434401i | ||||
\(887\) | 39.8262 | − | 25.5948i | 1.33723 | − | 0.859388i | 0.340508 | − | 0.940242i | \(-0.389401\pi\) |
0.996726 | + | 0.0808532i | \(0.0257645\pi\) | |||||||
\(888\) | −4.14326 | + | 4.78157i | −0.139039 | + | 0.160459i | ||||
\(889\) | 0.400136 | − | 0.876175i | 0.0134201 | − | 0.0293860i | ||||
\(890\) | 10.4622 | + | 6.72366i | 0.350695 | + | 0.225378i | ||||
\(891\) | −2.28123 | + | 0.669828i | −0.0764239 | + | 0.0224401i | ||||
\(892\) | −0.983204 | − | 1.13468i | −0.0329201 | − | 0.0379918i | ||||
\(893\) | 25.6493 | + | 7.53133i | 0.858322 | + | 0.252026i | ||||
\(894\) | 7.96331 | + | 17.4372i | 0.266333 | + | 0.583188i | ||||
\(895\) | −0.168483 | + | 1.17182i | −0.00563175 | + | 0.0391697i | ||||
\(896\) | 0.364722 | 0.0121845 | ||||||||
\(897\) | 12.0932 | + | 3.08784i | 0.403780 | + | 0.103100i | ||||
\(898\) | −28.9796 | −0.967062 | ||||||||
\(899\) | 0.277196 | − | 1.92794i | 0.00924500 | − | 0.0643004i | ||||
\(900\) | 0.415415 | + | 0.909632i | 0.0138472 | + | 0.0303211i | ||||
\(901\) | −43.8004 | − | 12.8610i | −1.45920 | − | 0.428461i | ||||
\(902\) | 7.32960 | + | 8.45881i | 0.244049 | + | 0.281648i | ||||
\(903\) | −2.30909 | + | 0.678009i | −0.0768416 | + | 0.0225627i | ||||
\(904\) | −3.35112 | − | 2.15363i | −0.111457 | − | 0.0716288i | ||||
\(905\) | −7.27707 | + | 15.9346i | −0.241898 | + | 0.529683i | ||||
\(906\) | 0.956519 | − | 1.10388i | 0.0317782 | − | 0.0366740i | ||||
\(907\) | −4.65461 | + | 2.99134i | −0.154554 | + | 0.0993258i | −0.615632 | − | 0.788034i | \(-0.711099\pi\) |
0.461078 | + | 0.887360i | \(0.347463\pi\) | |||||||
\(908\) | −1.92998 | − | 13.4233i | −0.0640485 | − | 0.445467i | ||||
\(909\) | 1.66043 | + | 11.5485i | 0.0550728 | + | 0.383040i | ||||
\(910\) | −0.798510 | + | 0.513171i | −0.0264704 | + | 0.0170115i | ||||
\(911\) | −4.56393 | + | 5.26705i | −0.151210 | + | 0.174505i | −0.826301 | − | 0.563229i | \(-0.809559\pi\) |
0.675091 | + | 0.737734i | \(0.264104\pi\) | |||||||
\(912\) | −2.08877 | + | 4.57378i | −0.0691662 | + | 0.151453i | ||||
\(913\) | −1.58927 | − | 1.02136i | −0.0525972 | − | 0.0338022i | ||||
\(914\) | 15.0350 | − | 4.41468i | 0.497314 | − | 0.146025i | ||||
\(915\) | 6.80672 | + | 7.85538i | 0.225023 | + | 0.259691i | ||||
\(916\) | 11.8663 | + | 3.48427i | 0.392075 | + | 0.115124i | ||||
\(917\) | −2.42638 | − | 5.31302i | −0.0801260 | − | 0.175451i | ||||
\(918\) | −0.768863 | + | 5.34756i | −0.0253763 | + | 0.176496i | ||||
\(919\) | −51.2472 | −1.69049 | −0.845245 | − | 0.534378i | \(-0.820546\pi\) | ||||
−0.845245 | + | 0.534378i | \(0.820546\pi\) | |||||||
\(920\) | 3.93966 | − | 2.73479i | 0.129887 | − | 0.0901635i | ||||
\(921\) | 30.8348 | 1.01604 | ||||||||
\(922\) | −4.00893 | + | 27.8827i | −0.132027 | + | 0.918268i | ||||
\(923\) | 13.6715 | + | 29.9364i | 0.450002 | + | 0.985367i | ||||
\(924\) | −0.832012 | − | 0.244301i | −0.0273712 | − | 0.00803691i | ||||
\(925\) | −4.14326 | − | 4.78157i | −0.136229 | − | 0.157217i | ||||
\(926\) | −7.29013 | + | 2.14058i | −0.239569 | + | 0.0703437i | ||||
\(927\) | 9.04903 | + | 5.81546i | 0.297209 | + | 0.191005i | ||||
\(928\) | −0.150405 | + | 0.329340i | −0.00493727 | + | 0.0108111i | ||||
\(929\) | −35.1139 | + | 40.5236i | −1.15205 | + | 1.32954i | −0.216525 | + | 0.976277i | \(0.569472\pi\) |
−0.935525 | + | 0.353260i | \(0.885073\pi\) | |||||||
\(930\) | −4.52569 | + | 2.90848i | −0.148403 | + | 0.0953730i | ||||
\(931\) | 4.91389 | + | 34.1768i | 0.161046 | + | 1.12010i | ||||
\(932\) | −1.87530 | − | 13.0430i | −0.0614275 | − | 0.427238i | ||||
\(933\) | −9.35971 | + | 6.01512i | −0.306423 | + | 0.196926i | ||||
\(934\) | 1.66981 | − | 1.92707i | 0.0546380 | − | 0.0630556i | ||||
\(935\) | 5.33590 | − | 11.6840i | 0.174503 | − | 0.382107i | ||||
\(936\) | 2.18937 | + | 1.40702i | 0.0715618 | + | 0.0459900i | ||||
\(937\) | 13.0350 | − | 3.82741i | 0.425834 | − | 0.125036i | −0.0617916 | − | 0.998089i | \(-0.519681\pi\) |
0.487625 | + | 0.873053i | \(0.337863\pi\) | |||||||
\(938\) | −1.74795 | − | 2.01724i | −0.0570724 | − | 0.0658651i | ||||
\(939\) | −11.5444 | − | 3.38973i | −0.376736 | − | 0.110620i | ||||
\(940\) | −2.20855 | − | 4.83605i | −0.0720350 | − | 0.157735i | ||||
\(941\) | 0.564761 | − | 3.92800i | 0.0184107 | − | 0.128049i | −0.978543 | − | 0.206041i | \(-0.933942\pi\) |
0.996954 | + | 0.0779922i | \(0.0248509\pi\) | |||||||
\(942\) | 13.3616 | 0.435345 | ||||||||
\(943\) | −19.4156 | − | 11.5223i | −0.632258 | − | 0.375218i | ||||
\(944\) | 2.81850 | 0.0917342 | ||||||||
\(945\) | −0.0519053 | + | 0.361009i | −0.00168848 | + | 0.0117436i | ||||
\(946\) | −6.51697 | − | 14.2702i | −0.211885 | − | 0.463963i | ||||
\(947\) | 31.6715 | + | 9.29960i | 1.02919 | + | 0.302196i | 0.752380 | − | 0.658730i | \(-0.228906\pi\) |
0.276806 | + | 0.960926i | \(0.410724\pi\) | |||||||
\(948\) | −7.66546 | − | 8.84642i | −0.248963 | − | 0.287318i | ||||
\(949\) | 33.1734 | − | 9.74059i | 1.07685 | − | 0.316193i | ||||
\(950\) | −4.22996 | − | 2.71843i | −0.137238 | − | 0.0881975i | ||||
\(951\) | −3.36545 | + | 7.36931i | −0.109132 | + | 0.238966i | ||||
\(952\) | −1.29036 | + | 1.48915i | −0.0418207 | + | 0.0482636i | ||||
\(953\) | 1.13260 | − | 0.727876i | 0.0366884 | − | 0.0235782i | −0.522168 | − | 0.852843i | \(-0.674877\pi\) |
0.558856 | + | 0.829264i | \(0.311240\pi\) | |||||||
\(954\) | 1.20251 | + | 8.36362i | 0.0389326 | + | 0.270782i | ||||
\(955\) | 0.237941 | + | 1.65491i | 0.00769957 | + | 0.0535517i | ||||
\(956\) | −12.5385 | + | 8.05801i | −0.405524 | + | 0.260615i | ||||
\(957\) | 0.563708 | − | 0.650554i | 0.0182221 | − | 0.0210294i | ||||
\(958\) | −12.2324 | + | 26.7852i | −0.395210 | + | 0.865389i | ||||
\(959\) | 4.57492 | + | 2.94012i | 0.147732 | + | 0.0949415i | ||||
\(960\) | 0.959493 | − | 0.281733i | 0.0309675 | − | 0.00909288i | ||||
\(961\) | 1.34826 | + | 1.55598i | 0.0434923 | + | 0.0501928i | ||||
\(962\) | −15.7989 | − | 4.63898i | −0.509377 | − | 0.149567i | ||||
\(963\) | 3.47104 | + | 7.60053i | 0.111853 | + | 0.244923i | ||||
\(964\) | 3.82267 | − | 26.5872i | 0.123120 | − | 0.856317i | ||||
\(965\) | −13.4284 | −0.432275 | ||||||||
\(966\) | 1.74803 | − | 0.0622634i | 0.0562421 | − | 0.00200329i | ||||
\(967\) | −34.1240 | −1.09735 | −0.548677 | − | 0.836034i | \(-0.684868\pi\) | ||||
−0.548677 | + | 0.836034i | \(0.684868\pi\) | |||||||
\(968\) | −0.761006 | + | 5.29291i | −0.0244597 | + | 0.170121i | ||||
\(969\) | −11.2847 | − | 24.7101i | −0.362517 | − | 0.793802i | ||||
\(970\) | 7.02229 | + | 2.06193i | 0.225472 | + | 0.0662046i | ||||
\(971\) | 17.4269 | + | 20.1117i | 0.559256 | + | 0.645415i | 0.963014 | − | 0.269450i | \(-0.0868419\pi\) |
−0.403759 | + | 0.914866i | \(0.632296\pi\) | |||||||
\(972\) | 0.959493 | − | 0.281733i | 0.0307758 | − | 0.00903658i | ||||
\(973\) | −1.51270 | − | 0.972156i | −0.0484950 | − | 0.0311659i | ||||
\(974\) | 2.96644 | − | 6.49560i | 0.0950508 | − | 0.208132i | ||||
\(975\) | −1.70428 | + | 1.96685i | −0.0545807 | + | 0.0629895i | ||||
\(976\) | 8.74412 | − | 5.61950i | 0.279892 | − | 0.179876i | ||||
\(977\) | 2.15772 | + | 15.0073i | 0.0690317 | + | 0.480126i | 0.994785 | + | 0.101997i | \(0.0325233\pi\) |
−0.925753 | + | 0.378129i | \(0.876568\pi\) | |||||||
\(978\) | 1.95699 | + | 13.6112i | 0.0625776 | + | 0.435237i | ||||
\(979\) | −24.8743 | + | 15.9857i | −0.794985 | + | 0.510906i | ||||
\(980\) | 4.49691 | − | 5.18972i | 0.143649 | − | 0.165779i | ||||
\(981\) | 5.38329 | − | 11.7878i | 0.171875 | − | 0.376354i | ||||
\(982\) | −6.84825 | − | 4.40110i | −0.218536 | − | 0.140445i | ||||
\(983\) | −50.7108 | + | 14.8900i | −1.61742 | + | 0.474918i | −0.960324 | − | 0.278885i | \(-0.910035\pi\) |
−0.657099 | + | 0.753804i | \(0.728217\pi\) | |||||||
\(984\) | −3.08286 | − | 3.55781i | −0.0982780 | − | 0.113419i | ||||
\(985\) | −9.80514 | − | 2.87905i | −0.312418 | − | 0.0917341i | ||||
\(986\) | −0.812569 | − | 1.77928i | −0.0258775 | − | 0.0566637i | ||||
\(987\) | 0.275954 | − | 1.91930i | 0.00878371 | − | 0.0610921i | ||||
\(988\) | −13.0858 | −0.416316 | ||||||||
\(989\) | 21.5610 | + | 23.1626i | 0.685601 | + | 0.736529i | ||||
\(990\) | −2.37753 | −0.0755629 | ||||||||
\(991\) | 1.03394 | − | 7.19121i | 0.0328442 | − | 0.228436i | −0.966787 | − | 0.255582i | \(-0.917733\pi\) |
0.999631 | + | 0.0271460i | \(0.00864190\pi\) | |||||||
\(992\) | 2.23481 | + | 4.89355i | 0.0709552 | + | 0.155370i | ||||
\(993\) | 4.94183 | + | 1.45105i | 0.156824 | + | 0.0460477i | ||||
\(994\) | 3.02031 | + | 3.48562i | 0.0957984 | + | 0.110557i | ||||
\(995\) | −6.78623 | + | 1.99262i | −0.215138 | + | 0.0631702i | ||||
\(996\) | 0.668454 | + | 0.429590i | 0.0211808 | + | 0.0136121i | ||||
\(997\) | −5.32155 | + | 11.6526i | −0.168535 | + | 0.369040i | −0.974988 | − | 0.222258i | \(-0.928657\pi\) |
0.806453 | + | 0.591299i | \(0.201384\pi\) | |||||||
\(998\) | 27.9964 | − | 32.3096i | 0.886210 | − | 1.02274i | ||||
\(999\) | −5.32255 | + | 3.42060i | −0.168398 | + | 0.108223i |
(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 | 690.2.m.e.31.1 | ✓ | 20 | |
23.3 | even | 11 | inner | 690.2.m.e.601.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.e.31.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.e.601.1 | yes | 20 | 23.3 | even | 11 | inner |