Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(113,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.113");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.r (of order \(22\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 113.6 | ||
Character | \(\chi\) | \(=\) | 966.113 |
Dual form | 966.2.r.a.701.6 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | + | 0.841254i | −0.382291 | + | 0.594856i | ||||
\(3\) | 0.0176252 | + | 1.73196i | 0.0101759 | + | 0.999948i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | 0.959405 | + | 0.281707i | 0.429059 | + | 0.125983i | 0.489130 | − | 0.872211i | \(-0.337314\pi\) |
−0.0600708 | + | 0.998194i | \(0.519133\pi\) | |||||||
\(6\) | −1.46655 | − | 0.921542i | −0.598715 | − | 0.376218i | ||||
\(7\) | −0.755750 | − | 0.654861i | −0.285646 | − | 0.247514i | ||||
\(8\) | 0.989821 | + | 0.142315i | 0.349955 | + | 0.0503159i | ||||
\(9\) | −2.99938 | + | 0.0610522i | −0.999793 | + | 0.0203507i | ||||
\(10\) | −0.755680 | + | 0.654801i | −0.238967 | + | 0.207066i | ||||
\(11\) | −3.62499 | + | 2.32964i | −1.09298 | + | 0.702413i | −0.957519 | − | 0.288370i | \(-0.906887\pi\) |
−0.135457 | + | 0.990783i | \(0.543250\pi\) | |||||||
\(12\) | 1.56813 | − | 0.735515i | 0.452679 | − | 0.212325i | ||||
\(13\) | −3.18776 | − | 3.67888i | −0.884127 | − | 1.02034i | −0.999635 | − | 0.0270300i | \(-0.991395\pi\) |
0.115508 | − | 0.993307i | \(-0.463150\pi\) | |||||||
\(14\) | 0.959493 | − | 0.281733i | 0.256435 | − | 0.0752962i | ||||
\(15\) | −0.470995 | + | 1.66662i | −0.121611 | + | 0.430319i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −0.322927 | + | 0.707112i | −0.0783214 | + | 0.171500i | −0.944742 | − | 0.327815i | \(-0.893688\pi\) |
0.866421 | + | 0.499315i | \(0.166415\pi\) | |||||||
\(18\) | 1.57023 | − | 2.55625i | 0.370106 | − | 0.602513i | ||||
\(19\) | 7.23962 | − | 3.30622i | 1.66088 | − | 0.758500i | 0.660916 | − | 0.750460i | \(-0.270168\pi\) |
0.999968 | − | 0.00803965i | \(-0.00255913\pi\) | |||||||
\(20\) | −0.142302 | − | 0.989731i | −0.0318196 | − | 0.221311i | ||||
\(21\) | 1.12087 | − | 1.32047i | 0.244595 | − | 0.288150i | ||||
\(22\) | − | 4.30904i | − | 0.918690i | ||||||
\(23\) | −3.74539 | + | 2.99534i | −0.780968 | + | 0.624571i | ||||
\(24\) | −0.229038 | + | 1.71684i | −0.0467522 | + | 0.350449i | ||||
\(25\) | −3.36517 | − | 2.16266i | −0.673034 | − | 0.432532i | ||||
\(26\) | 4.81830 | − | 0.692767i | 0.944947 | − | 0.135863i | ||||
\(27\) | −0.158605 | − | 5.19373i | −0.0305235 | − | 0.999534i | ||||
\(28\) | −0.281733 | + | 0.959493i | −0.0532424 | + | 0.181327i | ||||
\(29\) | −9.19611 | − | 4.19972i | −1.70767 | − | 0.779869i | −0.997088 | − | 0.0762581i | \(-0.975703\pi\) |
−0.710586 | − | 0.703610i | \(-0.751570\pi\) | |||||||
\(30\) | −1.14741 | − | 1.29727i | −0.209487 | − | 0.236848i | ||||
\(31\) | 0.535549 | − | 3.72483i | 0.0961875 | − | 0.668999i | −0.883494 | − | 0.468442i | \(-0.844816\pi\) |
0.979682 | − | 0.200557i | \(-0.0642753\pi\) | |||||||
\(32\) | −0.281733 | − | 0.959493i | −0.0498038 | − | 0.169616i | ||||
\(33\) | −4.09874 | − | 6.23728i | −0.713499 | − | 1.08577i | ||||
\(34\) | −0.420273 | − | 0.653957i | −0.0720762 | − | 0.112153i | ||||
\(35\) | −0.540591 | − | 0.841176i | −0.0913766 | − | 0.142185i | ||||
\(36\) | 1.30152 | + | 2.70297i | 0.216920 | + | 0.450495i | ||||
\(37\) | 1.38869 | + | 4.72944i | 0.228299 | + | 0.777515i | 0.991358 | + | 0.131186i | \(0.0418784\pi\) |
−0.763059 | + | 0.646329i | \(0.776303\pi\) | |||||||
\(38\) | −1.13266 | + | 7.87784i | −0.183742 | + | 1.27795i | ||||
\(39\) | 6.31548 | − | 5.58592i | 1.01129 | − | 0.894464i | ||||
\(40\) | 0.909549 | + | 0.415377i | 0.143812 | + | 0.0656769i | ||||
\(41\) | −2.20095 | + | 7.49575i | −0.343731 | + | 1.17064i | 0.588416 | + | 0.808559i | \(0.299752\pi\) |
−0.932147 | + | 0.362081i | \(0.882066\pi\) | |||||||
\(42\) | 0.504861 | + | 1.65684i | 0.0779018 | + | 0.255656i | ||||
\(43\) | −6.16861 | + | 0.886913i | −0.940705 | + | 0.135253i | −0.595573 | − | 0.803301i | \(-0.703075\pi\) |
−0.345132 | + | 0.938554i | \(0.612166\pi\) | |||||||
\(44\) | 3.62499 | + | 2.32964i | 0.546488 | + | 0.351207i | ||||
\(45\) | −2.89482 | − | 0.786371i | −0.431534 | − | 0.117225i | ||||
\(46\) | −0.494929 | − | 4.77022i | −0.0729733 | − | 0.703331i | ||||
\(47\) | − | 2.91026i | − | 0.424505i | −0.977215 | − | 0.212252i | \(-0.931920\pi\) | ||
0.977215 | − | 0.212252i | \(-0.0680799\pi\) | |||||||
\(48\) | −1.32047 | − | 1.12087i | −0.190594 | − | 0.161784i | ||||
\(49\) | 0.142315 | + | 0.989821i | 0.0203307 | + | 0.141403i | ||||
\(50\) | 3.63869 | − | 1.66174i | 0.514589 | − | 0.235005i | ||||
\(51\) | −1.23038 | − | 0.546834i | −0.172288 | − | 0.0765721i | ||||
\(52\) | −2.02218 | + | 4.42795i | −0.280426 | + | 0.614046i | ||||
\(53\) | 4.09805 | − | 4.72941i | 0.562911 | − | 0.649634i | −0.400931 | − | 0.916108i | \(-0.631313\pi\) |
0.963842 | + | 0.266474i | \(0.0858587\pi\) | |||||||
\(54\) | 4.45499 | + | 2.67452i | 0.606248 | + | 0.363956i | ||||
\(55\) | −4.13411 | + | 1.21388i | −0.557443 | + | 0.163680i | ||||
\(56\) | −0.654861 | − | 0.755750i | −0.0875094 | − | 0.100991i | ||||
\(57\) | 5.85385 | + | 12.4805i | 0.775362 | + | 1.65308i | ||||
\(58\) | 8.50482 | − | 5.46572i | 1.11674 | − | 0.717684i | ||||
\(59\) | −3.22626 | + | 2.79557i | −0.420023 | + | 0.363952i | −0.839080 | − | 0.544008i | \(-0.816906\pi\) |
0.419057 | + | 0.907960i | \(0.362361\pi\) | |||||||
\(60\) | 1.71167 | − | 0.263905i | 0.220975 | − | 0.0340700i | ||||
\(61\) | −8.21329 | − | 1.18089i | −1.05160 | − | 0.151198i | −0.405227 | − | 0.914216i | \(-0.632807\pi\) |
−0.646377 | + | 0.763018i | \(0.723717\pi\) | |||||||
\(62\) | 2.84399 | + | 2.46433i | 0.361186 | + | 0.312970i | ||||
\(63\) | 2.30676 | + | 1.91804i | 0.290624 | + | 0.241650i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | −2.02199 | − | 4.42755i | −0.250797 | − | 0.549170i | ||||
\(66\) | 7.46308 | − | 0.0759475i | 0.918642 | − | 0.00934849i | ||||
\(67\) | 4.34182 | − | 6.75601i | 0.530438 | − | 0.825378i | −0.467853 | − | 0.883806i | \(-0.654972\pi\) |
0.998292 | + | 0.0584281i | \(0.0186088\pi\) | |||||||
\(68\) | 0.777361 | 0.0942688 | ||||||||
\(69\) | −5.25382 | − | 6.43408i | −0.632486 | − | 0.774572i | ||||
\(70\) | 0.999908 | 0.119512 | ||||||||
\(71\) | 5.62739 | − | 8.75639i | 0.667848 | − | 1.03919i | −0.327686 | − | 0.944787i | \(-0.606269\pi\) |
0.995534 | − | 0.0944053i | \(-0.0300950\pi\) | |||||||
\(72\) | −2.97754 | − | 0.366425i | −0.350906 | − | 0.0431836i | ||||
\(73\) | −2.72659 | − | 5.97040i | −0.319123 | − | 0.698783i | 0.680293 | − | 0.732940i | \(-0.261853\pi\) |
−0.999416 | + | 0.0341575i | \(0.989125\pi\) | |||||||
\(74\) | −4.72944 | − | 1.38869i | −0.549786 | − | 0.161432i | ||||
\(75\) | 3.68634 | − | 5.86646i | 0.425661 | − | 0.677400i | ||||
\(76\) | −6.01490 | − | 5.21194i | −0.689956 | − | 0.597850i | ||||
\(77\) | 4.26518 | + | 0.613240i | 0.486062 | + | 0.0698852i | ||||
\(78\) | 1.28477 | + | 8.33290i | 0.145471 | + | 0.943515i | ||||
\(79\) | 1.47361 | − | 1.27689i | 0.165795 | − | 0.143662i | −0.568012 | − | 0.823020i | \(-0.692287\pi\) |
0.733807 | + | 0.679358i | \(0.237742\pi\) | |||||||
\(80\) | −0.841176 | + | 0.540591i | −0.0940464 | + | 0.0604399i | ||||
\(81\) | 8.99255 | − | 0.366237i | 0.999172 | − | 0.0406930i | ||||
\(82\) | −5.11590 | − | 5.90407i | −0.564957 | − | 0.651995i | ||||
\(83\) | 2.03155 | − | 0.596517i | 0.222992 | − | 0.0654762i | −0.168328 | − | 0.985731i | \(-0.553837\pi\) |
0.391320 | + | 0.920255i | \(0.372019\pi\) | |||||||
\(84\) | −1.66677 | − | 0.471039i | −0.181860 | − | 0.0513945i | ||||
\(85\) | −0.509016 | + | 0.587436i | −0.0552106 | + | 0.0637164i | ||||
\(86\) | 2.58889 | − | 5.66887i | 0.279167 | − | 0.611290i | ||||
\(87\) | 7.11167 | − | 16.0013i | 0.762451 | − | 1.71552i | ||||
\(88\) | −3.91964 | + | 1.79004i | −0.417835 | + | 0.190819i | ||||
\(89\) | 1.91581 | + | 13.3248i | 0.203076 | + | 1.41242i | 0.795089 | + | 0.606493i | \(0.207424\pi\) |
−0.592013 | + | 0.805928i | \(0.701667\pi\) | |||||||
\(90\) | 2.22659 | − | 2.01013i | 0.234704 | − | 0.211886i | ||||
\(91\) | 4.86785i | 0.510289i | ||||||||
\(92\) | 4.28055 | + | 2.16262i | 0.446278 | + | 0.225468i | ||||
\(93\) | 6.46070 | + | 0.861900i | 0.669943 | + | 0.0893749i | ||||
\(94\) | 2.44826 | + | 1.57340i | 0.252519 | + | 0.162284i | ||||
\(95\) | 7.87712 | − | 1.13256i | 0.808175 | − | 0.116198i | ||||
\(96\) | 1.65684 | − | 0.504861i | 0.169100 | − | 0.0515272i | ||||
\(97\) | −0.818711 | + | 2.78827i | −0.0831275 | + | 0.283106i | −0.990558 | − | 0.137097i | \(-0.956223\pi\) |
0.907430 | + | 0.420203i | \(0.138041\pi\) | |||||||
\(98\) | −0.909632 | − | 0.415415i | −0.0918867 | − | 0.0419633i | ||||
\(99\) | 10.7305 | − | 7.20879i | 1.07846 | − | 0.724511i | ||||
\(100\) | −0.569285 | + | 3.95947i | −0.0569285 | + | 0.395947i | ||||
\(101\) | 3.15932 | + | 10.7597i | 0.314364 | + | 1.07063i | 0.953465 | + | 0.301503i | \(0.0974882\pi\) |
−0.639101 | + | 0.769123i | \(0.720694\pi\) | |||||||
\(102\) | 1.12522 | − | 0.739422i | 0.111414 | − | 0.0732137i | ||||
\(103\) | 1.23586 | + | 1.92303i | 0.121772 | + | 0.189482i | 0.896788 | − | 0.442461i | \(-0.145894\pi\) |
−0.775015 | + | 0.631942i | \(0.782258\pi\) | |||||||
\(104\) | −2.63176 | − | 4.09510i | −0.258065 | − | 0.401557i | ||||
\(105\) | 1.44736 | − | 0.951109i | 0.141248 | − | 0.0928187i | ||||
\(106\) | 1.76305 | + | 6.00441i | 0.171243 | + | 0.583200i | ||||
\(107\) | 0.242111 | − | 1.68392i | 0.0234058 | − | 0.162791i | −0.974766 | − | 0.223228i | \(-0.928340\pi\) |
0.998172 | + | 0.0604375i | \(0.0192496\pi\) | |||||||
\(108\) | −4.65850 | + | 2.30183i | −0.448264 | + | 0.221493i | ||||
\(109\) | 12.8690 | + | 5.87706i | 1.23262 | + | 0.562921i | 0.921844 | − | 0.387561i | \(-0.126682\pi\) |
0.310780 | + | 0.950482i | \(0.399410\pi\) | |||||||
\(110\) | 1.21388 | − | 4.13411i | 0.115739 | − | 0.394172i | ||||
\(111\) | −8.16672 | + | 2.48851i | −0.775151 | + | 0.236199i | ||||
\(112\) | 0.989821 | − | 0.142315i | 0.0935293 | − | 0.0134475i | ||||
\(113\) | −8.83749 | − | 5.67951i | −0.831361 | − | 0.534284i | 0.0543488 | − | 0.998522i | \(-0.482692\pi\) |
−0.885710 | + | 0.464238i | \(0.846328\pi\) | |||||||
\(114\) | −13.6641 | − | 1.82288i | −1.27976 | − | 0.170728i | ||||
\(115\) | −4.43715 | + | 1.81864i | −0.413767 | + | 0.169589i | ||||
\(116\) | 10.1097i | 0.938662i | ||||||||
\(117\) | 9.78591 | + | 10.8397i | 0.904708 | + | 1.00213i | ||||
\(118\) | −0.607535 | − | 4.22550i | −0.0559282 | − | 0.388989i | ||||
\(119\) | 0.707112 | − | 0.322927i | 0.0648209 | − | 0.0296027i | ||||
\(120\) | −0.703386 | + | 1.58262i | −0.0642100 | + | 0.144473i | ||||
\(121\) | 3.14377 | − | 6.88391i | 0.285798 | − | 0.625810i | ||||
\(122\) | 5.43387 | − | 6.27102i | 0.491959 | − | 0.567751i | ||||
\(123\) | −13.0211 | − | 3.67985i | −1.17408 | − | 0.331801i | ||||
\(124\) | −3.61070 | + | 1.06020i | −0.324250 | + | 0.0952085i | ||||
\(125\) | −5.89333 | − | 6.80126i | −0.527115 | − | 0.608323i | ||||
\(126\) | −2.86068 | + | 0.903602i | −0.254850 | + | 0.0804992i | ||||
\(127\) | −18.6017 | + | 11.9546i | −1.65064 | + | 1.06080i | −0.720589 | + | 0.693362i | \(0.756129\pi\) |
−0.930048 | + | 0.367438i | \(0.880235\pi\) | |||||||
\(128\) | −0.755750 | + | 0.654861i | −0.0667995 | + | 0.0578821i | ||||
\(129\) | −1.64482 | − | 10.6682i | −0.144818 | − | 0.939280i | ||||
\(130\) | 4.81786 | + | 0.692704i | 0.422554 | + | 0.0607541i | ||||
\(131\) | −1.94498 | − | 1.68533i | −0.169934 | − | 0.147248i | 0.565742 | − | 0.824582i | \(-0.308590\pi\) |
−0.735676 | + | 0.677334i | \(0.763135\pi\) | |||||||
\(132\) | −3.97096 | + | 6.31941i | −0.345627 | + | 0.550034i | ||||
\(133\) | −7.63646 | − | 2.24227i | −0.662165 | − | 0.194429i | ||||
\(134\) | 3.33615 | + | 7.30515i | 0.288199 | + | 0.631069i | ||||
\(135\) | 1.31094 | − | 5.02757i | 0.112828 | − | 0.432705i | ||||
\(136\) | −0.420273 | + | 0.653957i | −0.0360381 | + | 0.0560764i | ||||
\(137\) | 8.49661 | 0.725914 | 0.362957 | − | 0.931806i | \(-0.381767\pi\) | ||||
0.362957 | + | 0.931806i | \(0.381767\pi\) | |||||||
\(138\) | 8.25312 | − | 0.941273i | 0.702552 | − | 0.0801265i | ||||
\(139\) | −0.950218 | −0.0805965 | −0.0402982 | − | 0.999188i | \(-0.512831\pi\) | ||||
−0.0402982 | + | 0.999188i | \(0.512831\pi\) | |||||||
\(140\) | −0.540591 | + | 0.841176i | −0.0456883 | + | 0.0710924i | ||||
\(141\) | 5.04045 | − | 0.0512938i | 0.424483 | − | 0.00431972i | ||||
\(142\) | 4.32395 | + | 9.46812i | 0.362858 | + | 0.794547i | ||||
\(143\) | 20.1261 | + | 5.90955i | 1.68303 | + | 0.494181i | ||||
\(144\) | 1.91804 | − | 2.30676i | 0.159836 | − | 0.192230i | ||||
\(145\) | −7.63970 | − | 6.61984i | −0.634443 | − | 0.549748i | ||||
\(146\) | 6.49673 | + | 0.934089i | 0.537673 | + | 0.0773057i | ||||
\(147\) | −1.71182 | + | 0.263930i | −0.141189 | + | 0.0217685i | ||||
\(148\) | 3.72517 | − | 3.22787i | 0.306207 | − | 0.265330i | ||||
\(149\) | −16.4795 | + | 10.5907i | −1.35005 | + | 0.867626i | −0.997670 | − | 0.0682307i | \(-0.978265\pi\) |
−0.352382 | + | 0.935856i | \(0.614628\pi\) | |||||||
\(150\) | 2.94220 | + | 6.27279i | 0.240229 | + | 0.512171i | ||||
\(151\) | −5.22200 | − | 6.02650i | −0.424960 | − | 0.490430i | 0.502382 | − | 0.864646i | \(-0.332457\pi\) |
−0.927342 | + | 0.374216i | \(0.877912\pi\) | |||||||
\(152\) | 7.63646 | − | 2.24227i | 0.619399 | − | 0.181872i | ||||
\(153\) | 0.925410 | − | 2.14061i | 0.0748150 | − | 0.173058i | ||||
\(154\) | −2.82182 | + | 3.25655i | −0.227389 | + | 0.262420i | ||||
\(155\) | 1.56312 | − | 3.42275i | 0.125553 | − | 0.274922i | ||||
\(156\) | −7.70468 | − | 3.42429i | −0.616868 | − | 0.274163i | ||||
\(157\) | −11.0189 | + | 5.03217i | −0.879406 | + | 0.401611i | −0.803360 | − | 0.595493i | \(-0.796957\pi\) |
−0.0760456 | + | 0.997104i | \(0.524229\pi\) | |||||||
\(158\) | 0.277496 | + | 1.93003i | 0.0220764 | + | 0.153545i | ||||
\(159\) | 8.26338 | + | 7.01431i | 0.655329 | + | 0.556271i | ||||
\(160\) | − | 0.999908i | − | 0.0790497i | ||||||
\(161\) | 4.79211 | + | 0.188983i | 0.377671 | + | 0.0148939i | ||||
\(162\) | −4.55364 | + | 7.76301i | −0.357768 | + | 0.609920i | ||||
\(163\) | 10.5846 | + | 6.80234i | 0.829053 | + | 0.532800i | 0.884977 | − | 0.465635i | \(-0.154174\pi\) |
−0.0559237 | + | 0.998435i | \(0.517810\pi\) | |||||||
\(164\) | 7.73268 | − | 1.11179i | 0.603821 | − | 0.0868164i | ||||
\(165\) | −2.17527 | − | 7.13872i | −0.169344 | − | 0.555749i | ||||
\(166\) | −0.596517 | + | 2.03155i | −0.0462987 | + | 0.157679i | ||||
\(167\) | −16.6190 | − | 7.58964i | −1.28602 | − | 0.587304i | −0.349174 | − | 0.937058i | \(-0.613538\pi\) |
−0.936842 | + | 0.349754i | \(0.886265\pi\) | |||||||
\(168\) | 1.29739 | − | 1.14751i | 0.100096 | − | 0.0885326i | ||||
\(169\) | −1.52219 | + | 10.5871i | −0.117092 | + | 0.814392i | ||||
\(170\) | −0.218988 | − | 0.745804i | −0.0167956 | − | 0.0572005i | ||||
\(171\) | −21.5125 | + | 10.3586i | −1.64510 | + | 0.792143i | ||||
\(172\) | 3.36930 | + | 5.24273i | 0.256907 | + | 0.399755i | ||||
\(173\) | −7.23421 | − | 11.2567i | −0.550007 | − | 0.855827i | 0.449287 | − | 0.893387i | \(-0.351678\pi\) |
−0.999294 | + | 0.0375598i | \(0.988042\pi\) | |||||||
\(174\) | 9.61631 | + | 14.6337i | 0.729010 | + | 1.10938i | ||||
\(175\) | 1.12698 | + | 3.83815i | 0.0851918 | + | 0.290137i | ||||
\(176\) | 0.613240 | − | 4.26518i | 0.0462247 | − | 0.321500i | ||||
\(177\) | −4.89868 | − | 5.53848i | −0.368207 | − | 0.416298i | ||||
\(178\) | −12.2453 | − | 5.59223i | −0.917822 | − | 0.419155i | ||||
\(179\) | −1.73332 | + | 5.90314i | −0.129554 | + | 0.441221i | −0.998564 | − | 0.0535740i | \(-0.982939\pi\) |
0.869010 | + | 0.494795i | \(0.164757\pi\) | |||||||
\(180\) | 0.487242 | + | 2.95989i | 0.0363169 | + | 0.220617i | ||||
\(181\) | −25.6989 | + | 3.69494i | −1.91018 | + | 0.274643i | −0.992459 | − | 0.122575i | \(-0.960885\pi\) |
−0.917724 | + | 0.397218i | \(0.869976\pi\) | |||||||
\(182\) | −4.09510 | − | 2.63176i | −0.303549 | − | 0.195079i | ||||
\(183\) | 1.90050 | − | 14.2459i | 0.140489 | − | 1.05309i | ||||
\(184\) | −4.13355 | + | 2.43183i | −0.304729 | + | 0.179277i | ||||
\(185\) | 4.92865i | 0.362361i | ||||||||
\(186\) | −4.21799 | + | 4.96911i | −0.309278 | + | 0.364353i | ||||
\(187\) | −0.476708 | − | 3.31558i | −0.0348604 | − | 0.242459i | ||||
\(188\) | −2.64726 | + | 1.20896i | −0.193072 | + | 0.0881728i | ||||
\(189\) | −3.28131 | + | 4.02902i | −0.238680 | + | 0.293068i | ||||
\(190\) | −3.30592 | + | 7.23896i | −0.239837 | + | 0.525169i | ||||
\(191\) | 11.7489 | − | 13.5589i | 0.850118 | − | 0.981088i | −0.149853 | − | 0.988708i | \(-0.547880\pi\) |
0.999971 | + | 0.00762017i | \(0.00242560\pi\) | |||||||
\(192\) | −0.471039 | + | 1.66677i | −0.0339943 | + | 0.120289i | ||||
\(193\) | −1.22114 | + | 0.358560i | −0.0878998 | + | 0.0258097i | −0.325387 | − | 0.945581i | \(-0.605494\pi\) |
0.237487 | + | 0.971391i | \(0.423676\pi\) | |||||||
\(194\) | −1.90302 | − | 2.19620i | −0.136629 | − | 0.157678i | ||||
\(195\) | 7.63270 | − | 3.58005i | 0.546589 | − | 0.256373i | ||||
\(196\) | 0.841254 | − | 0.540641i | 0.0600895 | − | 0.0386172i | ||||
\(197\) | 6.38265 | − | 5.53060i | 0.454745 | − | 0.394039i | −0.397148 | − | 0.917755i | \(-0.630000\pi\) |
0.851893 | + | 0.523716i | \(0.175455\pi\) | |||||||
\(198\) | 0.263076 | + | 12.9244i | 0.0186960 | + | 0.918499i | ||||
\(199\) | −6.47493 | − | 0.930955i | −0.458996 | − | 0.0659936i | −0.0910612 | − | 0.995845i | \(-0.529026\pi\) |
−0.367935 | + | 0.929852i | \(0.619935\pi\) | |||||||
\(200\) | −3.02314 | − | 2.61956i | −0.213768 | − | 0.185231i | ||||
\(201\) | 11.7777 | + | 7.40079i | 0.830733 | + | 0.522012i | ||||
\(202\) | −10.7597 | − | 3.15932i | −0.757046 | − | 0.222289i | ||||
\(203\) | 4.19972 | + | 9.19611i | 0.294763 | + | 0.645440i | ||||
\(204\) | 0.0137011 | + | 1.34636i | 0.000959270 | + | 0.0942639i | ||||
\(205\) | −4.22321 | + | 6.57144i | −0.294962 | + | 0.458969i | ||||
\(206\) | −2.28591 | −0.159267 | ||||||||
\(207\) | 11.0510 | − | 9.21282i | 0.768096 | − | 0.640335i | ||||
\(208\) | 4.86785 | 0.337525 | ||||||||
\(209\) | −18.5413 | + | 28.8508i | −1.28253 | + | 1.99565i | ||||
\(210\) | 0.0176236 | + | 1.73180i | 0.00121614 | + | 0.119506i | ||||
\(211\) | 8.20862 | + | 17.9744i | 0.565105 | + | 1.23741i | 0.949363 | + | 0.314182i | \(0.101730\pi\) |
−0.384258 | + | 0.923226i | \(0.625543\pi\) | |||||||
\(212\) | −6.00441 | − | 1.76305i | −0.412385 | − | 0.121087i | ||||
\(213\) | 15.2649 | + | 9.59209i | 1.04593 | + | 0.657239i | ||||
\(214\) | 1.28571 | + | 1.11407i | 0.0878892 | + | 0.0761564i | ||||
\(215\) | −6.16805 | − | 0.886832i | −0.420657 | − | 0.0604814i | ||||
\(216\) | 0.582155 | − | 5.16344i | 0.0396106 | − | 0.351327i | ||||
\(217\) | −2.84399 | + | 2.46433i | −0.193062 | + | 0.167289i | ||||
\(218\) | −11.9016 | + | 7.64869i | −0.806078 | + | 0.518035i | ||||
\(219\) | 10.2924 | − | 4.82758i | 0.695499 | − | 0.326218i | ||||
\(220\) | 2.82156 | + | 3.25625i | 0.190230 | + | 0.219537i | ||||
\(221\) | 3.63079 | − | 1.06610i | 0.244234 | − | 0.0717134i | ||||
\(222\) | 2.32180 | − | 8.21568i | 0.155829 | − | 0.551400i | ||||
\(223\) | 3.91690 | − | 4.52035i | 0.262295 | − | 0.302705i | −0.609291 | − | 0.792946i | \(-0.708546\pi\) |
0.871587 | + | 0.490242i | \(0.163091\pi\) | |||||||
\(224\) | −0.415415 | + | 0.909632i | −0.0277561 | + | 0.0607773i | ||||
\(225\) | 10.2254 | + | 6.28119i | 0.681697 | + | 0.418746i | ||||
\(226\) | 9.55582 | − | 4.36400i | 0.635644 | − | 0.290289i | ||||
\(227\) | −0.159448 | − | 1.10899i | −0.0105830 | − | 0.0736061i | 0.983846 | − | 0.179020i | \(-0.0572925\pi\) |
−0.994428 | + | 0.105413i | \(0.966383\pi\) | |||||||
\(228\) | 8.92086 | − | 10.5094i | 0.590798 | − | 0.696004i | ||||
\(229\) | 5.41818i | 0.358044i | 0.983845 | + | 0.179022i | \(0.0572933\pi\) | ||||
−0.983845 | + | 0.179022i | \(0.942707\pi\) | |||||||
\(230\) | 0.868967 | − | 4.71600i | 0.0572980 | − | 0.310964i | ||||
\(231\) | −0.986933 | + | 7.39793i | −0.0649354 | + | 0.486748i | ||||
\(232\) | −8.50482 | − | 5.46572i | −0.558369 | − | 0.358842i | ||||
\(233\) | −15.9348 | + | 2.29109i | −1.04393 | + | 0.150094i | −0.642883 | − | 0.765965i | \(-0.722262\pi\) |
−0.401044 | + | 0.916059i | \(0.631353\pi\) | |||||||
\(234\) | −14.4096 | + | 2.37204i | −0.941986 | + | 0.155065i | ||||
\(235\) | 0.819839 | − | 2.79212i | 0.0534804 | − | 0.182138i | ||||
\(236\) | 3.88318 | + | 1.77339i | 0.252773 | + | 0.115438i | ||||
\(237\) | 2.23750 | + | 2.52974i | 0.145342 | + | 0.164324i | ||||
\(238\) | −0.110630 | + | 0.769448i | −0.00717107 | + | 0.0498759i | ||||
\(239\) | 4.67031 | + | 15.9056i | 0.302097 | + | 1.02885i | 0.960983 | + | 0.276606i | \(0.0892096\pi\) |
−0.658886 | + | 0.752242i | \(0.728972\pi\) | |||||||
\(240\) | −0.951109 | − | 1.44736i | −0.0613938 | − | 0.0934265i | ||||
\(241\) | 15.0893 | + | 23.4794i | 0.971987 | + | 1.51244i | 0.854555 | + | 0.519360i | \(0.173830\pi\) |
0.117432 | + | 0.993081i | \(0.462534\pi\) | |||||||
\(242\) | 4.09146 | + | 6.36643i | 0.263009 | + | 0.409250i | ||||
\(243\) | 0.792804 | + | 15.5683i | 0.0508584 | + | 0.998706i | ||||
\(244\) | 2.33775 | + | 7.96163i | 0.149659 | + | 0.509691i | ||||
\(245\) | −0.142302 | + | 0.989731i | −0.00909133 | + | 0.0632316i | ||||
\(246\) | 10.1354 | − | 8.96461i | 0.646212 | − | 0.571562i | ||||
\(247\) | −35.2414 | − | 16.0942i | −2.24236 | − | 1.02405i | ||||
\(248\) | 1.06020 | − | 3.61070i | 0.0673226 | − | 0.229280i | ||||
\(249\) | 1.06895 | + | 3.50805i | 0.0677420 | + | 0.222314i | ||||
\(250\) | 8.90776 | − | 1.28074i | 0.563376 | − | 0.0810013i | ||||
\(251\) | 16.9201 | + | 10.8739i | 1.06799 | + | 0.686355i | 0.951753 | − | 0.306866i | \(-0.0992803\pi\) |
0.116237 | + | 0.993221i | \(0.462917\pi\) | |||||||
\(252\) | 0.786443 | − | 2.89508i | 0.0495413 | − | 0.182373i | ||||
\(253\) | 6.59894 | − | 19.5835i | 0.414872 | − | 1.23120i | ||||
\(254\) | − | 22.1119i | − | 1.38743i | ||||||
\(255\) | −1.02639 | − | 0.871243i | −0.0642749 | − | 0.0545593i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | −17.8864 | + | 8.16844i | −1.11572 | + | 0.509533i | −0.885982 | − | 0.463719i | \(-0.846515\pi\) |
−0.229740 | + | 0.973252i | \(0.573788\pi\) | |||||||
\(258\) | 9.86389 | + | 4.38394i | 0.614099 | + | 0.272932i | ||||
\(259\) | 2.04762 | − | 4.48367i | 0.127233 | − | 0.278602i | ||||
\(260\) | −3.18747 | + | 3.67854i | −0.197679 | + | 0.228133i | ||||
\(261\) | 27.8390 | + | 12.0351i | 1.72319 | + | 0.744955i | ||||
\(262\) | 2.46933 | − | 0.725060i | 0.152556 | − | 0.0447944i | ||||
\(263\) | −13.5639 | − | 15.6536i | −0.836388 | − | 0.965243i | 0.163385 | − | 0.986562i | \(-0.447759\pi\) |
−0.999773 | + | 0.0213196i | \(0.993213\pi\) | |||||||
\(264\) | −3.16936 | − | 6.75711i | −0.195061 | − | 0.415871i | ||||
\(265\) | 5.26400 | − | 3.38297i | 0.323365 | − | 0.207814i | ||||
\(266\) | 6.01490 | − | 5.21194i | 0.368797 | − | 0.319564i | ||||
\(267\) | −23.0442 | + | 3.55296i | −1.41028 | + | 0.217438i | ||||
\(268\) | −7.94914 | − | 1.14291i | −0.485571 | − | 0.0698146i | ||||
\(269\) | −24.4571 | − | 21.1922i | −1.49118 | − | 1.29211i | −0.852611 | − | 0.522546i | \(-0.824982\pi\) |
−0.638566 | − | 0.769567i | \(-0.720472\pi\) | |||||||
\(270\) | 3.52071 | + | 3.82095i | 0.214264 | + | 0.232535i | ||||
\(271\) | −1.44707 | − | 0.424897i | −0.0879030 | − | 0.0258106i | 0.237485 | − | 0.971391i | \(-0.423677\pi\) |
−0.325388 | + | 0.945580i | \(0.605495\pi\) | |||||||
\(272\) | −0.322927 | − | 0.707112i | −0.0195803 | − | 0.0428750i | ||||
\(273\) | −8.43093 | + | 0.0857967i | −0.510263 | + | 0.00519265i | ||||
\(274\) | −4.59361 | + | 7.14780i | −0.277510 | + | 0.431815i | ||||
\(275\) | 17.2369 | 1.03943 | ||||||||
\(276\) | −3.67012 | + | 7.45186i | −0.220916 | + | 0.448549i | ||||
\(277\) | 11.9852 | 0.720118 | 0.360059 | − | 0.932929i | \(-0.382756\pi\) | ||||
0.360059 | + | 0.932929i | \(0.382756\pi\) | |||||||
\(278\) | 0.513727 | − | 0.799374i | 0.0308113 | − | 0.0479433i | ||||
\(279\) | −1.37891 | + | 11.2049i | −0.0825530 | + | 0.670818i | ||||
\(280\) | −0.415377 | − | 0.909549i | −0.0248235 | − | 0.0543559i | ||||
\(281\) | −29.1474 | − | 8.55845i | −1.73879 | − | 0.510554i | −0.750202 | − | 0.661209i | \(-0.770044\pi\) |
−0.988586 | + | 0.150655i | \(0.951862\pi\) | |||||||
\(282\) | −2.68192 | + | 4.26803i | −0.159706 | + | 0.254157i | ||||
\(283\) | 1.47269 | + | 1.27610i | 0.0875425 | + | 0.0758560i | 0.697533 | − | 0.716553i | \(-0.254281\pi\) |
−0.609990 | + | 0.792409i | \(0.708827\pi\) | |||||||
\(284\) | −10.3028 | − | 1.48132i | −0.611358 | − | 0.0879001i | ||||
\(285\) | 2.10038 | + | 13.6229i | 0.124416 | + | 0.806951i | ||||
\(286\) | −15.8524 | + | 13.7362i | −0.937373 | + | 0.812238i | ||||
\(287\) | 6.57204 | − | 4.22359i | 0.387935 | − | 0.249311i | ||||
\(288\) | 0.903602 | + | 2.86068i | 0.0532452 | + | 0.168567i | ||||
\(289\) | 10.7369 | + | 12.3911i | 0.631583 | + | 0.728885i | ||||
\(290\) | 9.69930 | − | 2.84797i | 0.569562 | − | 0.167239i | ||||
\(291\) | −4.84361 | − | 1.36883i | −0.283938 | − | 0.0802423i | ||||
\(292\) | −4.29820 | + | 4.96039i | −0.251533 | + | 0.290285i | ||||
\(293\) | −1.61937 | + | 3.54594i | −0.0946049 | + | 0.207156i | −0.951018 | − | 0.309135i | \(-0.899960\pi\) |
0.856413 | + | 0.516291i | \(0.172688\pi\) | |||||||
\(294\) | 0.703450 | − | 1.58277i | 0.0410261 | − | 0.0923090i | ||||
\(295\) | −3.88282 | + | 1.77322i | −0.226067 | + | 0.103241i | ||||
\(296\) | 0.701484 | + | 4.87893i | 0.0407729 | + | 0.283582i | ||||
\(297\) | 12.6745 | + | 18.4577i | 0.735447 | + | 1.07103i | ||||
\(298\) | − | 19.5892i | − | 1.13477i | ||||||
\(299\) | 22.9589 | + | 4.23039i | 1.32775 | + | 0.244650i | ||||
\(300\) | −6.86768 | − | 0.916194i | −0.396506 | − | 0.0528965i | ||||
\(301\) | 5.24273 | + | 3.36930i | 0.302186 | + | 0.194203i | ||||
\(302\) | 7.89304 | − | 1.13485i | 0.454193 | − | 0.0653032i | ||||
\(303\) | −18.5796 | + | 5.66146i | −1.06737 | + | 0.325242i | ||||
\(304\) | −2.24227 | + | 7.63646i | −0.128603 | + | 0.437981i | ||||
\(305\) | −7.54720 | − | 3.44669i | −0.432152 | − | 0.197357i | ||||
\(306\) | 1.30048 | + | 1.93581i | 0.0743437 | + | 0.110663i | ||||
\(307\) | −3.84963 | + | 26.7748i | −0.219710 | + | 1.52812i | 0.519400 | + | 0.854531i | \(0.326156\pi\) |
−0.739110 | + | 0.673585i | \(0.764754\pi\) | |||||||
\(308\) | −1.21400 | − | 4.13449i | −0.0691738 | − | 0.235584i | ||||
\(309\) | −3.30883 | + | 2.17435i | −0.188233 | + | 0.123694i | ||||
\(310\) | 2.03432 | + | 3.16546i | 0.115541 | + | 0.179786i | ||||
\(311\) | −16.7423 | − | 26.0515i | −0.949367 | − | 1.47724i | −0.877356 | − | 0.479840i | \(-0.840695\pi\) |
−0.0720106 | − | 0.997404i | \(-0.522942\pi\) | |||||||
\(312\) | 7.04616 | − | 4.63028i | 0.398910 | − | 0.262138i | ||||
\(313\) | −5.58205 | − | 19.0107i | −0.315516 | − | 1.07455i | −0.952719 | − | 0.303853i | \(-0.901727\pi\) |
0.637203 | − | 0.770696i | \(-0.280091\pi\) | |||||||
\(314\) | 1.72395 | − | 11.9903i | 0.0972879 | − | 0.676652i | ||||
\(315\) | 1.67279 | + | 2.49000i | 0.0942512 | + | 0.140296i | ||||
\(316\) | −1.77367 | − | 0.810006i | −0.0997765 | − | 0.0455664i | ||||
\(317\) | −2.52278 | + | 8.59180i | −0.141693 | + | 0.482563i | −0.999507 | − | 0.0313975i | \(-0.990004\pi\) |
0.857814 | + | 0.513961i | \(0.171822\pi\) | |||||||
\(318\) | −10.3683 | + | 3.15937i | −0.581427 | + | 0.177169i | ||||
\(319\) | 43.1196 | − | 6.19967i | 2.41424 | − | 0.347115i | ||||
\(320\) | 0.841176 | + | 0.540591i | 0.0470232 | + | 0.0302200i | ||||
\(321\) | 2.92075 | + | 0.389648i | 0.163020 | + | 0.0217480i | ||||
\(322\) | −2.74979 | + | 3.92920i | −0.153240 | + | 0.218966i | ||||
\(323\) | 6.18689i | 0.344248i | ||||||||
\(324\) | −4.06878 | − | 8.02777i | −0.226043 | − | 0.445987i | ||||
\(325\) | 2.77120 | + | 19.2741i | 0.153718 | + | 1.06913i | ||||
\(326\) | −11.4450 | + | 5.22675i | −0.633879 | + | 0.289483i | ||||
\(327\) | −9.95203 | + | 22.3921i | −0.550348 | + | 1.23829i | ||||
\(328\) | −3.24531 | + | 7.10623i | −0.179192 | + | 0.392376i | ||||
\(329\) | −1.90581 | + | 2.19943i | −0.105071 | + | 0.121258i | ||||
\(330\) | 7.18151 | + | 2.02954i | 0.395329 | + | 0.111722i | ||||
\(331\) | 29.5620 | − | 8.68020i | 1.62488 | − | 0.477107i | 0.662554 | − | 0.749014i | \(-0.269473\pi\) |
0.962323 | + | 0.271907i | \(0.0876544\pi\) | |||||||
\(332\) | −1.38655 | − | 1.60016i | −0.0760967 | − | 0.0878202i | ||||
\(333\) | −4.45394 | − | 14.1006i | −0.244075 | − | 0.772708i | ||||
\(334\) | 15.3697 | − | 9.87751i | 0.840993 | − | 0.540474i | ||||
\(335\) | 6.06878 | − | 5.25863i | 0.331573 | − | 0.287310i | ||||
\(336\) | 0.263930 | + | 1.71182i | 0.0143985 | + | 0.0933877i | ||||
\(337\) | −24.0224 | − | 3.45390i | −1.30858 | − | 0.188146i | −0.547502 | − | 0.836804i | \(-0.684421\pi\) |
−0.761080 | + | 0.648658i | \(0.775330\pi\) | |||||||
\(338\) | −8.08347 | − | 7.00437i | −0.439683 | − | 0.380987i | ||||
\(339\) | 9.68093 | − | 15.4063i | 0.525796 | − | 0.836755i | ||||
\(340\) | 0.745804 | + | 0.218988i | 0.0404469 | + | 0.0118763i | ||||
\(341\) | 6.73615 | + | 14.7501i | 0.364783 | + | 0.798763i | ||||
\(342\) | 2.91632 | − | 23.6978i | 0.157697 | − | 1.28143i | ||||
\(343\) | 0.540641 | − | 0.841254i | 0.0291919 | − | 0.0454234i | ||||
\(344\) | −6.23205 | −0.336009 | ||||||||
\(345\) | −3.22802 | − | 7.65292i | −0.173791 | − | 0.412020i | ||||
\(346\) | 13.3808 | 0.719357 | ||||||||
\(347\) | −8.36112 | + | 13.0102i | −0.448848 | + | 0.698421i | −0.989773 | − | 0.142649i | \(-0.954438\pi\) |
0.540925 | + | 0.841071i | \(0.318074\pi\) | |||||||
\(348\) | −17.5096 | + | 0.178185i | −0.938613 | + | 0.00955173i | ||||
\(349\) | 5.14770 | + | 11.2719i | 0.275550 | + | 0.603371i | 0.995922 | − | 0.0902173i | \(-0.0287561\pi\) |
−0.720372 | + | 0.693588i | \(0.756029\pi\) | |||||||
\(350\) | −3.83815 | − | 1.12698i | −0.205158 | − | 0.0602397i | ||||
\(351\) | −18.6015 | + | 17.1399i | −0.992874 | + | 0.914859i | ||||
\(352\) | 3.25655 | + | 2.82182i | 0.173575 | + | 0.150403i | ||||
\(353\) | 15.2861 | + | 2.19780i | 0.813595 | + | 0.116977i | 0.536538 | − | 0.843876i | \(-0.319732\pi\) |
0.277057 | + | 0.960853i | \(0.410641\pi\) | |||||||
\(354\) | 7.30770 | − | 1.12670i | 0.388400 | − | 0.0598836i | ||||
\(355\) | 7.86568 | − | 6.81565i | 0.417467 | − | 0.361737i | ||||
\(356\) | 11.3248 | − | 7.27799i | 0.600212 | − | 0.385733i | ||||
\(357\) | 0.571760 | + | 1.21900i | 0.0302608 | + | 0.0645163i | ||||
\(358\) | −4.02893 | − | 4.64963i | −0.212936 | − | 0.245741i | ||||
\(359\) | 24.3869 | − | 7.16063i | 1.28709 | − | 0.377924i | 0.434579 | − | 0.900633i | \(-0.356897\pi\) |
0.852511 | + | 0.522710i | \(0.175079\pi\) | |||||||
\(360\) | −2.75344 | − | 1.19034i | −0.145119 | − | 0.0627366i | ||||
\(361\) | 29.0387 | − | 33.5124i | 1.52835 | − | 1.76381i | ||||
\(362\) | 10.7855 | − | 23.6169i | 0.566873 | − | 1.24128i | ||||
\(363\) | 11.9781 | + | 5.32356i | 0.628685 | + | 0.279415i | ||||
\(364\) | 4.42795 | − | 2.02218i | 0.232088 | − | 0.105991i | ||||
\(365\) | −0.934003 | − | 6.49613i | −0.0488879 | − | 0.340023i | ||||
\(366\) | 10.9569 | + | 9.30072i | 0.572728 | + | 0.486156i | ||||
\(367\) | 2.55388i | 0.133312i | 0.997776 | + | 0.0666558i | \(0.0212329\pi\) | ||||
−0.997776 | + | 0.0666558i | \(0.978767\pi\) | |||||||
\(368\) | 0.188983 | − | 4.79211i | 0.00985140 | − | 0.249806i | ||||
\(369\) | 6.14385 | − | 22.6170i | 0.319836 | − | 1.17739i | ||||
\(370\) | −4.14624 | − | 2.66463i | −0.215553 | − | 0.138527i | ||||
\(371\) | −6.19421 | + | 0.890592i | −0.321587 | + | 0.0462373i | ||||
\(372\) | −1.89986 | − | 6.23490i | −0.0985031 | − | 0.323265i | ||||
\(373\) | 1.17143 | − | 3.98954i | 0.0606546 | − | 0.206571i | −0.923590 | − | 0.383381i | \(-0.874760\pi\) |
0.984245 | + | 0.176810i | \(0.0565779\pi\) | |||||||
\(374\) | 3.04697 | + | 1.39151i | 0.157555 | + | 0.0719530i | ||||
\(375\) | 11.6756 | − | 10.3269i | 0.602928 | − | 0.533278i | ||||
\(376\) | 0.414173 | − | 2.88064i | 0.0213593 | − | 0.148557i | ||||
\(377\) | 13.8648 | + | 47.2190i | 0.714072 | + | 2.43190i | ||||
\(378\) | −1.61542 | − | 4.93866i | −0.0830884 | − | 0.254017i | ||||
\(379\) | −11.0061 | − | 17.1258i | −0.565344 | − | 0.879693i | 0.434435 | − | 0.900703i | \(-0.356948\pi\) |
−0.999779 | + | 0.0210103i | \(0.993312\pi\) | |||||||
\(380\) | −4.30248 | − | 6.69479i | −0.220713 | − | 0.343436i | ||||
\(381\) | −21.0328 | − | 32.0068i | −1.07754 | − | 1.63976i | ||||
\(382\) | 5.05457 | + | 17.2143i | 0.258614 | + | 0.880759i | ||||
\(383\) | 0.450683 | − | 3.13457i | 0.0230288 | − | 0.160169i | −0.975062 | − | 0.221933i | \(-0.928763\pi\) |
0.998091 | + | 0.0617637i | \(0.0196725\pi\) | |||||||
\(384\) | −1.14751 | − | 1.29739i | −0.0585588 | − | 0.0662070i | ||||
\(385\) | 3.91928 | + | 1.78987i | 0.199745 | + | 0.0912204i | ||||
\(386\) | 0.358560 | − | 1.22114i | 0.0182502 | − | 0.0621546i | ||||
\(387\) | 18.4479 | − | 3.03679i | 0.937758 | − | 0.154369i | ||||
\(388\) | 2.87641 | − | 0.413565i | 0.146027 | − | 0.0209956i | ||||
\(389\) | 19.2460 | + | 12.3687i | 0.975812 | + | 0.627116i | 0.928330 | − | 0.371756i | \(-0.121244\pi\) |
0.0474812 | + | 0.998872i | \(0.484881\pi\) | |||||||
\(390\) | −1.11482 | + | 8.35656i | −0.0564511 | + | 0.423151i | ||||
\(391\) | −0.908552 | − | 3.61569i | −0.0459474 | − | 0.182853i | ||||
\(392\) | 1.00000i | 0.0505076i | ||||||||
\(393\) | 2.88465 | − | 3.39833i | 0.145512 | − | 0.171423i | ||||
\(394\) | 1.20191 | + | 8.35950i | 0.0605516 | + | 0.421145i | ||||
\(395\) | 1.77350 | − | 0.809932i | 0.0892346 | − | 0.0407521i | ||||
\(396\) | −11.0150 | − | 6.76616i | −0.553522 | − | 0.340012i | ||||
\(397\) | 8.69536 | − | 19.0402i | 0.436408 | − | 0.955599i | −0.555836 | − | 0.831292i | \(-0.687602\pi\) |
0.992244 | − | 0.124308i | \(-0.0396709\pi\) | |||||||
\(398\) | 4.28378 | − | 4.94375i | 0.214727 | − | 0.247808i | ||||
\(399\) | 3.74892 | − | 13.2656i | 0.187681 | − | 0.664109i | ||||
\(400\) | 3.83815 | − | 1.12698i | 0.191907 | − | 0.0563491i | ||||
\(401\) | −14.0312 | − | 16.1928i | −0.700684 | − | 0.808632i | 0.288161 | − | 0.957582i | \(-0.406956\pi\) |
−0.988845 | + | 0.148950i | \(0.952411\pi\) | |||||||
\(402\) | −12.5934 | + | 5.90684i | −0.628103 | + | 0.294606i | ||||
\(403\) | −15.4104 | + | 9.90365i | −0.767646 | + | 0.493336i | ||||
\(404\) | 8.47489 | − | 7.34354i | 0.421642 | − | 0.365355i | ||||
\(405\) | 8.73066 | + | 2.18189i | 0.433830 | + | 0.108419i | ||||
\(406\) | −10.0068 | − | 1.43876i | −0.496629 | − | 0.0714045i | ||||
\(407\) | −16.0519 | − | 13.9090i | −0.795662 | − | 0.689445i | ||||
\(408\) | −1.14004 | − | 0.716370i | −0.0564402 | − | 0.0354656i | ||||
\(409\) | 13.7652 | + | 4.04184i | 0.680648 | + | 0.199856i | 0.603739 | − | 0.797182i | \(-0.293677\pi\) |
0.0769086 | + | 0.997038i | \(0.475495\pi\) | |||||||
\(410\) | −3.24501 | − | 7.10558i | −0.160260 | − | 0.350919i | ||||
\(411\) | 0.149754 | + | 14.7158i | 0.00738683 | + | 0.725877i | ||||
\(412\) | 1.23586 | − | 1.92303i | 0.0608862 | − | 0.0947409i | ||||
\(413\) | 4.26895 | 0.210061 | ||||||||
\(414\) | 1.77571 | + | 14.2775i | 0.0872715 | + | 0.701701i | ||||
\(415\) | 2.11712 | 0.103925 | ||||||||
\(416\) | −2.63176 | + | 4.09510i | −0.129033 | + | 0.200779i | ||||
\(417\) | −0.0167478 | − | 1.64574i | −0.000820141 | − | 0.0805923i | ||||
\(418\) | −14.2466 | − | 31.1958i | −0.696826 | − | 1.52584i | ||||
\(419\) | 17.0933 | + | 5.01904i | 0.835061 | + | 0.245196i | 0.671190 | − | 0.741286i | \(-0.265784\pi\) |
0.163871 | + | 0.986482i | \(0.447602\pi\) | |||||||
\(420\) | −1.46641 | − | 0.921457i | −0.0715536 | − | 0.0449625i | ||||
\(421\) | −10.2538 | − | 8.88495i | −0.499739 | − | 0.433026i | 0.368164 | − | 0.929761i | \(-0.379987\pi\) |
−0.867902 | + | 0.496735i | \(0.834532\pi\) | |||||||
\(422\) | −19.5589 | − | 2.81215i | −0.952114 | − | 0.136893i | ||||
\(423\) | 0.177678 | + | 8.72896i | 0.00863898 | + | 0.424417i | ||||
\(424\) | 4.72941 | − | 4.09805i | 0.229680 | − | 0.199019i | ||||
\(425\) | 2.61595 | − | 1.68117i | 0.126892 | − | 0.0815486i | ||||
\(426\) | −16.3222 | + | 7.65578i | −0.790814 | + | 0.370924i | ||||
\(427\) | 5.43387 | + | 6.27102i | 0.262963 | + | 0.303476i | ||||
\(428\) | −1.63232 | + | 0.479294i | −0.0789013 | + | 0.0231675i | ||||
\(429\) | −9.88038 | + | 34.9617i | −0.477029 | + | 1.68797i | ||||
\(430\) | 4.08075 | − | 4.70944i | 0.196791 | − | 0.227109i | ||||
\(431\) | −3.11374 | + | 6.81814i | −0.149984 | + | 0.328418i | −0.969679 | − | 0.244381i | \(-0.921415\pi\) |
0.819696 | + | 0.572799i | \(0.194143\pi\) | |||||||
\(432\) | 4.02902 | + | 3.28131i | 0.193847 | + | 0.157872i | ||||
\(433\) | −5.87928 | + | 2.68498i | −0.282540 | + | 0.129032i | −0.551645 | − | 0.834079i | \(-0.686000\pi\) |
0.269104 | + | 0.963111i | \(0.413272\pi\) | |||||||
\(434\) | −0.535549 | − | 3.72483i | −0.0257072 | − | 0.178797i | ||||
\(435\) | 11.3307 | − | 13.3483i | 0.543263 | − | 0.640004i | ||||
\(436\) | − | 14.1475i | − | 0.677540i | ||||||
\(437\) | −17.2119 | + | 34.0682i | −0.823359 | + | 1.62970i | ||||
\(438\) | −1.50330 | + | 11.2685i | −0.0718304 | + | 0.538432i | ||||
\(439\) | 8.36440 | + | 5.37548i | 0.399211 | + | 0.256557i | 0.724808 | − | 0.688951i | \(-0.241929\pi\) |
−0.325596 | + | 0.945509i | \(0.605565\pi\) | |||||||
\(440\) | −4.26479 | + | 0.613184i | −0.203316 | + | 0.0292324i | ||||
\(441\) | −0.487287 | − | 2.96016i | −0.0232041 | − | 0.140960i | ||||
\(442\) | −1.06610 | + | 3.63079i | −0.0507091 | + | 0.172699i | ||||
\(443\) | 9.67784 | + | 4.41972i | 0.459808 | + | 0.209987i | 0.631832 | − | 0.775105i | \(-0.282303\pi\) |
−0.172024 | + | 0.985093i | \(0.555031\pi\) | |||||||
\(444\) | 5.65621 | + | 6.39495i | 0.268432 | + | 0.303491i | ||||
\(445\) | −1.91564 | + | 13.3235i | −0.0908098 | + | 0.631596i | ||||
\(446\) | 1.68512 | + | 5.73899i | 0.0797927 | + | 0.271749i | ||||
\(447\) | −18.6332 | − | 28.3552i | −0.881319 | − | 1.34115i | ||||
\(448\) | −0.540641 | − | 0.841254i | −0.0255429 | − | 0.0397455i | ||||
\(449\) | 0.563343 | + | 0.876579i | 0.0265858 | + | 0.0413683i | 0.854292 | − | 0.519793i | \(-0.173991\pi\) |
−0.827706 | + | 0.561162i | \(0.810355\pi\) | |||||||
\(450\) | −10.8124 | + | 5.20633i | −0.509700 | + | 0.245429i | ||||
\(451\) | −9.48398 | − | 32.2995i | −0.446583 | − | 1.52092i | ||||
\(452\) | −1.49504 | + | 10.3982i | −0.0703207 | + | 0.489091i | ||||
\(453\) | 10.3456 | − | 9.15051i | 0.486080 | − | 0.429928i | ||||
\(454\) | 1.01914 | + | 0.465428i | 0.0478308 | + | 0.0218436i | ||||
\(455\) | −1.37131 | + | 4.67024i | −0.0642878 | + | 0.218944i | ||||
\(456\) | 4.01811 | + | 13.1865i | 0.188165 | + | 0.617516i | ||||
\(457\) | −24.5169 | + | 3.52499i | −1.14685 | + | 0.164892i | −0.689426 | − | 0.724356i | \(-0.742137\pi\) |
−0.457424 | + | 0.889249i | \(0.651228\pi\) | |||||||
\(458\) | −4.55807 | − | 2.92929i | −0.212984 | − | 0.136877i | ||||
\(459\) | 3.72377 | + | 1.56505i | 0.173811 | + | 0.0730501i | ||||
\(460\) | 3.49755 | + | 3.28069i | 0.163074 | + | 0.152963i | ||||
\(461\) | 36.3457i | 1.69279i | 0.532558 | + | 0.846394i | \(0.321231\pi\) | ||||
−0.532558 | + | 0.846394i | \(0.678769\pi\) | |||||||
\(462\) | −5.68996 | − | 4.82988i | −0.264721 | − | 0.224706i | ||||
\(463\) | −3.76997 | − | 26.2207i | −0.175205 | − | 1.21858i | −0.867674 | − | 0.497133i | \(-0.834386\pi\) |
0.692469 | − | 0.721448i | \(-0.256523\pi\) | |||||||
\(464\) | 9.19611 | − | 4.19972i | 0.426918 | − | 0.194967i | ||||
\(465\) | 5.95562 | + | 2.64693i | 0.276185 | + | 0.122749i | ||||
\(466\) | 6.68765 | − | 14.6439i | 0.309799 | − | 0.678366i | ||||
\(467\) | 1.65201 | − | 1.90652i | 0.0764459 | − | 0.0882232i | −0.716238 | − | 0.697856i | \(-0.754138\pi\) |
0.792684 | + | 0.609633i | \(0.208683\pi\) | |||||||
\(468\) | 5.79494 | − | 13.4046i | 0.267871 | − | 0.619626i | ||||
\(469\) | −7.70558 | + | 2.26256i | −0.355810 | + | 0.104475i | ||||
\(470\) | 1.90564 | + | 2.19922i | 0.0879006 | + | 0.101443i | ||||
\(471\) | −8.90974 | − | 18.9957i | −0.410539 | − | 0.875274i | ||||
\(472\) | −3.59127 | + | 2.30797i | −0.165302 | + | 0.106233i | ||||
\(473\) | 20.2950 | − | 17.5857i | 0.933165 | − | 0.808592i | ||||
\(474\) | −3.33784 | + | 0.514629i | −0.153312 | + | 0.0236377i | ||||
\(475\) | −31.5128 | − | 4.53086i | −1.44591 | − | 0.207890i | ||||
\(476\) | −0.587490 | − | 0.509063i | −0.0269276 | − | 0.0233329i | ||||
\(477\) | −12.0029 | + | 14.4355i | −0.549574 | + | 0.660955i | ||||
\(478\) | −15.9056 | − | 4.67031i | −0.727506 | − | 0.213615i | ||||
\(479\) | −9.70248 | − | 21.2455i | −0.443318 | − | 0.970730i | −0.990977 | − | 0.134029i | \(-0.957208\pi\) |
0.547660 | − | 0.836701i | \(-0.315519\pi\) | |||||||
\(480\) | 1.73180 | − | 0.0176236i | 0.0790456 | − | 0.000804402i | ||||
\(481\) | 12.9722 | − | 20.1851i | 0.591481 | − | 0.920363i | ||||
\(482\) | −27.9100 | −1.27127 | ||||||||
\(483\) | −0.242849 | + | 8.30307i | −0.0110500 | + | 0.377803i | ||||
\(484\) | −7.56779 | −0.343991 | ||||||||
\(485\) | −1.57095 | + | 2.44445i | −0.0713332 | + | 0.110997i | ||||
\(486\) | −13.5255 | − | 7.74990i | −0.613529 | − | 0.351543i | ||||
\(487\) | 8.84874 | + | 19.3760i | 0.400975 | + | 0.878012i | 0.997171 | + | 0.0751730i | \(0.0239509\pi\) |
−0.596196 | + | 0.802839i | \(0.703322\pi\) | |||||||
\(488\) | −7.96163 | − | 2.33775i | −0.360406 | − | 0.105825i | ||||
\(489\) | −11.5948 | + | 18.4521i | −0.524336 | + | 0.834432i | ||||
\(490\) | −0.755680 | − | 0.654801i | −0.0341382 | − | 0.0295809i | ||||
\(491\) | 31.2973 | + | 4.49988i | 1.41243 | + | 0.203077i | 0.805931 | − | 0.592009i | \(-0.201665\pi\) |
0.606497 | + | 0.795086i | \(0.292574\pi\) | |||||||
\(492\) | 2.06187 | + | 13.3731i | 0.0929563 | + | 0.602906i | ||||
\(493\) | 5.93935 | − | 5.14647i | 0.267495 | − | 0.231785i | ||||
\(494\) | 32.5922 | − | 20.9458i | 1.46639 | − | 0.942394i | ||||
\(495\) | 12.3257 | − | 3.89330i | 0.553997 | − | 0.174991i | ||||
\(496\) | 2.46433 | + | 2.84399i | 0.110652 | + | 0.127699i | ||||
\(497\) | −9.98711 | + | 2.93248i | −0.447983 | + | 0.131540i | ||||
\(498\) | −3.52908 | − | 0.997338i | −0.158142 | − | 0.0446918i | ||||
\(499\) | −2.63573 | + | 3.04180i | −0.117992 | + | 0.136170i | −0.811672 | − | 0.584113i | \(-0.801442\pi\) |
0.693681 | + | 0.720283i | \(0.255988\pi\) | |||||||
\(500\) | −3.73847 | + | 8.18610i | −0.167189 | + | 0.366094i | ||||
\(501\) | 12.8520 | − | 28.9172i | 0.574187 | − | 1.29193i | ||||
\(502\) | −18.2954 | + | 8.35525i | −0.816565 | + | 0.372913i | ||||
\(503\) | −4.60676 | − | 32.0407i | −0.205405 | − | 1.42862i | −0.787907 | − | 0.615794i | \(-0.788835\pi\) |
0.582502 | − | 0.812829i | \(-0.302074\pi\) | |||||||
\(504\) | 2.01032 | + | 2.22680i | 0.0895466 | + | 0.0991895i | ||||
\(505\) | 11.2129i | 0.498966i | ||||||||
\(506\) | 12.9070 | + | 16.1390i | 0.573787 | + | 0.717467i | ||||
\(507\) | −18.3633 | − | 2.44978i | −0.815541 | − | 0.108799i | ||||
\(508\) | 18.6017 | + | 11.9546i | 0.825319 | + | 0.530400i | ||||
\(509\) | 29.5804 | − | 4.25302i | 1.31113 | − | 0.188512i | 0.548937 | − | 0.835864i | \(-0.315033\pi\) |
0.762191 | + | 0.647352i | \(0.224124\pi\) | |||||||
\(510\) | 1.28784 | − | 0.392423i | 0.0570267 | − | 0.0173768i | ||||
\(511\) | −1.84916 | + | 6.29767i | −0.0818021 | + | 0.278592i | ||||
\(512\) | 0.909632 | + | 0.415415i | 0.0402004 | + | 0.0183589i | ||||
\(513\) | −18.3199 | − | 37.0763i | −0.808842 | − | 1.63696i | ||||
\(514\) | 2.79838 | − | 19.4632i | 0.123431 | − | 0.858484i | ||||
\(515\) | 0.643956 | + | 2.19311i | 0.0283761 | + | 0.0966401i | ||||
\(516\) | −9.02082 | + | 5.92790i | −0.397120 | + | 0.260961i | ||||
\(517\) | 6.77985 | + | 10.5497i | 0.298178 | + | 0.463973i | ||||
\(518\) | 2.66487 | + | 4.14662i | 0.117088 | + | 0.182192i | ||||
\(519\) | 19.3686 | − | 12.7278i | 0.850186 | − | 0.558687i | ||||
\(520\) | −1.37131 | − | 4.67024i | −0.0601358 | − | 0.204804i | ||||
\(521\) | −0.573150 | + | 3.98635i | −0.0251102 | + | 0.174645i | −0.998517 | − | 0.0544374i | \(-0.982663\pi\) |
0.973407 | + | 0.229082i | \(0.0735725\pi\) | |||||||
\(522\) | −25.1755 | + | 16.9130i | −1.10190 | + | 0.740261i | ||||
\(523\) | −14.7575 | − | 6.73953i | −0.645301 | − | 0.294699i | 0.0657538 | − | 0.997836i | \(-0.479055\pi\) |
−0.711054 | + | 0.703137i | \(0.751782\pi\) | |||||||
\(524\) | −0.725060 | + | 2.46933i | −0.0316744 | + | 0.107873i | ||||
\(525\) | −6.62766 | + | 2.01954i | −0.289255 | + | 0.0881398i | ||||
\(526\) | 20.5019 | − | 2.94772i | 0.893924 | − | 0.128527i | ||||
\(527\) | 2.46093 | + | 1.58154i | 0.107200 | + | 0.0688931i | ||||
\(528\) | 7.39793 | + | 0.986933i | 0.321953 | + | 0.0429507i | ||||
\(529\) | 5.05589 | − | 22.4374i | 0.219821 | − | 0.975540i | ||||
\(530\) | 6.25733i | 0.271801i | ||||||||
\(531\) | 9.50610 | − | 8.58194i | 0.412530 | − | 0.372425i | ||||
\(532\) | 1.13266 | + | 7.87784i | 0.0491071 | + | 0.341548i | ||||
\(533\) | 34.5921 | − | 15.7977i | 1.49835 | − | 0.684273i | ||||
\(534\) | 9.46969 | − | 21.3069i | 0.409794 | − | 0.922039i | ||||
\(535\) | 0.706654 | − | 1.54736i | 0.0305513 | − | 0.0668981i | ||||
\(536\) | 5.25911 | − | 6.06934i | 0.227159 | − | 0.262155i | ||||
\(537\) | −10.2546 | − | 2.89799i | −0.442517 | − | 0.125058i | ||||
\(538\) | 31.0506 | − | 9.11727i | 1.33868 | − | 0.393073i | ||||
\(539\) | −2.82182 | − | 3.25655i | −0.121544 | − | 0.140270i | ||||
\(540\) | −5.11783 | + | 0.896053i | −0.220236 | + | 0.0385600i | ||||
\(541\) | 25.3932 | − | 16.3192i | 1.09174 | − | 0.701619i | 0.134500 | − | 0.990914i | \(-0.457057\pi\) |
0.957240 | + | 0.289295i | \(0.0934208\pi\) | |||||||
\(542\) | 1.13979 | − | 0.987632i | 0.0489581 | − | 0.0424224i | ||||
\(543\) | −6.85244 | − | 44.4444i | −0.294067 | − | 1.90729i | ||||
\(544\) | 0.769448 | + | 0.110630i | 0.0329898 | + | 0.00474322i | ||||
\(545\) | 10.6910 | + | 9.26376i | 0.457950 | + | 0.396816i | ||||
\(546\) | 4.48593 | − | 7.13893i | 0.191980 | − | 0.305518i | ||||
\(547\) | −24.6111 | − | 7.22647i | −1.05229 | − | 0.308981i | −0.290550 | − | 0.956860i | \(-0.593838\pi\) |
−0.761744 | + | 0.647878i | \(0.775657\pi\) | |||||||
\(548\) | −3.52962 | − | 7.72879i | −0.150778 | − | 0.330157i | ||||
\(549\) | 24.7069 | + | 3.04050i | 1.05446 | + | 0.129766i | ||||
\(550\) | −9.31899 | + | 14.5006i | −0.397363 | + | 0.618309i | ||||
\(551\) | −80.4616 | −3.42778 | ||||||||
\(552\) | −4.28468 | − | 7.11628i | −0.182368 | − | 0.302889i | ||||
\(553\) | −1.94987 | −0.0829170 | ||||||||
\(554\) | −6.47967 | + | 10.0826i | −0.275295 | + | 0.428367i | ||||
\(555\) | −8.53623 | + | 0.0868683i | −0.362343 | + | 0.00368735i | ||||
\(556\) | 0.394735 | + | 0.864349i | 0.0167405 | + | 0.0366566i | ||||
\(557\) | −14.1177 | − | 4.14532i | −0.598185 | − | 0.175643i | −0.0313974 | − | 0.999507i | \(-0.509996\pi\) |
−0.566787 | + | 0.823864i | \(0.691814\pi\) | |||||||
\(558\) | −8.68064 | − | 7.21782i | −0.367481 | − | 0.305555i | ||||
\(559\) | 22.9269 | + | 19.8663i | 0.969706 | + | 0.840255i | ||||
\(560\) | 0.989731 | + | 0.142302i | 0.0418238 | + | 0.00601335i | ||||
\(561\) | 5.73405 | − | 0.884078i | 0.242092 | − | 0.0373258i | ||||
\(562\) | 22.9581 | − | 19.8933i | 0.968429 | − | 0.839148i | ||||
\(563\) | −14.2349 | + | 9.14821i | −0.599929 | + | 0.385551i | −0.805069 | − | 0.593182i | \(-0.797872\pi\) |
0.205139 | + | 0.978733i | \(0.434235\pi\) | |||||||
\(564\) | −2.14054 | − | 4.56365i | −0.0901329 | − | 0.192164i | ||||
\(565\) | −6.87878 | − | 7.93853i | −0.289392 | − | 0.333977i | ||||
\(566\) | −1.86972 | + | 0.548999i | −0.0785901 | + | 0.0230761i | ||||
\(567\) | −7.03595 | − | 5.61208i | −0.295482 | − | 0.235685i | ||||
\(568\) | 6.81627 | − | 7.86640i | 0.286005 | − | 0.330067i | ||||
\(569\) | 6.20031 | − | 13.5768i | 0.259930 | − | 0.569168i | −0.734004 | − | 0.679145i | \(-0.762351\pi\) |
0.993934 | + | 0.109977i | \(0.0350778\pi\) | |||||||
\(570\) | −12.5959 | − | 5.59814i | −0.527583 | − | 0.234480i | ||||
\(571\) | 1.63874 | − | 0.748389i | 0.0685793 | − | 0.0313191i | −0.380830 | − | 0.924645i | \(-0.624362\pi\) |
0.449409 | + | 0.893326i | \(0.351634\pi\) | |||||||
\(572\) | −2.98516 | − | 20.7622i | −0.124816 | − | 0.868113i | ||||
\(573\) | 23.6906 | + | 20.1096i | 0.989688 | + | 0.840090i | ||||
\(574\) | 7.81220i | 0.326075i | ||||||||
\(575\) | 19.0818 | − | 1.97981i | 0.795765 | − | 0.0825636i | ||||
\(576\) | −2.89508 | − | 0.786443i | −0.120628 | − | 0.0327685i | ||||
\(577\) | 5.33965 | + | 3.43159i | 0.222293 | + | 0.142859i | 0.647048 | − | 0.762449i | \(-0.276003\pi\) |
−0.424755 | + | 0.905308i | \(0.639640\pi\) | |||||||
\(578\) | −16.2288 | + | 2.33335i | −0.675030 | + | 0.0970547i | ||||
\(579\) | −0.642535 | − | 2.10865i | −0.0267028 | − | 0.0876327i | ||||
\(580\) | −2.84797 | + | 9.69930i | −0.118256 | + | 0.402741i | ||||
\(581\) | −1.92598 | − | 0.879565i | −0.0799030 | − | 0.0364905i | ||||
\(582\) | 3.77019 | − | 3.33466i | 0.156279 | − | 0.138226i | ||||
\(583\) | −3.83759 | + | 26.6911i | −0.158937 | + | 1.10543i | ||||
\(584\) | −1.84916 | − | 6.29767i | −0.0765189 | − | 0.260599i | ||||
\(585\) | 6.33503 | + | 13.1564i | 0.261921 | + | 0.543952i | ||||
\(586\) | −2.10753 | − | 3.27938i | −0.0870613 | − | 0.135470i | ||||
\(587\) | 7.38537 | + | 11.4919i | 0.304827 | + | 0.474320i | 0.959546 | − | 0.281553i | \(-0.0908494\pi\) |
−0.654719 | + | 0.755872i | \(0.727213\pi\) | |||||||
\(588\) | 0.951196 | + | 1.44749i | 0.0392267 | + | 0.0596935i | ||||
\(589\) | −8.43794 | − | 28.7370i | −0.347679 | − | 1.18409i | ||||
\(590\) | 0.607480 | − | 4.22511i | 0.0250095 | − | 0.173945i | ||||
\(591\) | 9.69128 | + | 10.9570i | 0.398646 | + | 0.450712i | ||||
\(592\) | −4.48367 | − | 2.04762i | −0.184278 | − | 0.0841568i | ||||
\(593\) | −4.32525 | + | 14.7304i | −0.177617 | + | 0.604907i | 0.821768 | + | 0.569823i | \(0.192988\pi\) |
−0.999384 | + | 0.0350842i | \(0.988830\pi\) | |||||||
\(594\) | −22.3800 | + | 0.683433i | −0.918262 | + | 0.0280416i | ||||
\(595\) | 0.769378 | − | 0.110620i | 0.0315414 | − | 0.00453497i | ||||
\(596\) | 16.4795 | + | 10.5907i | 0.675026 | + | 0.433813i | ||||
\(597\) | 1.49826 | − | 11.2307i | 0.0613195 | − | 0.459644i | ||||
\(598\) | −15.9713 | + | 17.0271i | −0.653117 | + | 0.696291i | ||||
\(599\) | 12.0358i | 0.491768i | 0.969299 | + | 0.245884i | \(0.0790782\pi\) | ||||
−0.969299 | + | 0.245884i | \(0.920922\pi\) | |||||||
\(600\) | 4.48370 | − | 5.28213i | 0.183046 | − | 0.215642i | ||||
\(601\) | 2.88270 | + | 20.0496i | 0.117588 | + | 0.817842i | 0.960199 | + | 0.279318i | \(0.0901085\pi\) |
−0.842611 | + | 0.538523i | \(0.818982\pi\) | |||||||
\(602\) | −5.66887 | + | 2.58889i | −0.231046 | + | 0.105515i | ||||
\(603\) | −12.6103 | + | 20.5289i | −0.513531 | + | 0.836002i | ||||
\(604\) | −3.31261 | + | 7.25359i | −0.134788 | + | 0.295145i | ||||
\(605\) | 4.95540 | − | 5.71883i | 0.201465 | − | 0.232504i | ||||
\(606\) | 5.28218 | − | 18.6910i | 0.214574 | − | 0.759269i | ||||
\(607\) | 15.1297 | − | 4.44248i | 0.614095 | − | 0.180315i | 0.0401302 | − | 0.999194i | \(-0.487223\pi\) |
0.573965 | + | 0.818880i | \(0.305405\pi\) | |||||||
\(608\) | −5.21194 | − | 6.01490i | −0.211372 | − | 0.243936i | ||||
\(609\) | −15.8533 | + | 7.43584i | −0.642407 | + | 0.301315i | ||||
\(610\) | 6.97987 | − | 4.48569i | 0.282607 | − | 0.181620i | ||||
\(611\) | −10.7065 | + | 9.27721i | −0.433138 | + | 0.375316i | ||||
\(612\) | −2.33160 | + | 0.0474596i | −0.0942493 | + | 0.00191844i | ||||
\(613\) | 24.1990 | + | 3.47929i | 0.977389 | + | 0.140527i | 0.612455 | − | 0.790506i | \(-0.290182\pi\) |
0.364935 | + | 0.931033i | \(0.381091\pi\) | |||||||
\(614\) | −20.4431 | − | 17.7140i | −0.825016 | − | 0.714881i | ||||
\(615\) | −11.4559 | − | 7.19861i | −0.461947 | − | 0.290276i | ||||
\(616\) | 4.13449 | + | 1.21400i | 0.166583 | + | 0.0489133i | ||||
\(617\) | −11.5126 | − | 25.2091i | −0.463481 | − | 1.01488i | −0.986680 | − | 0.162672i | \(-0.947989\pi\) |
0.523199 | − | 0.852210i | \(-0.324738\pi\) | |||||||
\(618\) | −0.0402895 | − | 3.95911i | −0.00162068 | − | 0.159259i | ||||
\(619\) | 5.55729 | − | 8.64731i | 0.223366 | − | 0.347565i | −0.711425 | − | 0.702762i | \(-0.751950\pi\) |
0.934791 | + | 0.355197i | \(0.115586\pi\) | |||||||
\(620\) | −3.76279 | −0.151117 | ||||||||
\(621\) | 16.1510 | + | 18.9775i | 0.648118 | + | 0.761540i | ||||
\(622\) | 30.9674 | 1.24168 | ||||||||
\(623\) | 7.27799 | − | 11.3248i | 0.291586 | − | 0.453717i | ||||
\(624\) | 0.0857967 | + | 8.43093i | 0.00343462 | + | 0.337507i | ||||
\(625\) | 4.57055 | + | 10.0081i | 0.182822 | + | 0.400325i | ||||
\(626\) | 19.0107 | + | 5.58205i | 0.759821 | + | 0.223103i | ||||
\(627\) | −50.2952 | − | 31.6042i | −2.00860 | − | 1.26215i | ||||
\(628\) | 9.15485 | + | 7.93273i | 0.365318 | + | 0.316550i | ||||
\(629\) | −3.79269 | − | 0.545306i | −0.151224 | − | 0.0217428i | ||||
\(630\) | −2.99910 | + | 0.0610466i | −0.119487 | + | 0.00243216i | ||||
\(631\) | 5.59847 | − | 4.85110i | 0.222872 | − | 0.193119i | −0.536267 | − | 0.844048i | \(-0.680166\pi\) |
0.759139 | + | 0.650929i | \(0.225620\pi\) | |||||||
\(632\) | 1.64034 | − | 1.05418i | 0.0652491 | − | 0.0419330i | ||||
\(633\) | −30.9863 | + | 14.5338i | −1.23159 | + | 0.577667i | ||||
\(634\) | −5.86396 | − | 6.76737i | −0.232888 | − | 0.268767i | ||||
\(635\) | −21.2143 | + | 6.22908i | −0.841864 | + | 0.247193i | ||||
\(636\) | 2.94771 | − | 10.4305i | 0.116884 | − | 0.413596i | ||||
\(637\) | 3.18776 | − | 3.67888i | 0.126304 | − | 0.145762i | ||||
\(638\) | −18.0967 | + | 39.6264i | −0.716457 | + | 1.56882i | ||||
\(639\) | −16.3441 | + | 26.6073i | −0.646562 | + | 1.05257i | ||||
\(640\) | −0.909549 | + | 0.415377i | −0.0359531 | + | 0.0164192i | ||||
\(641\) | −0.357221 | − | 2.48453i | −0.0141094 | − | 0.0981328i | 0.981550 | − | 0.191206i | \(-0.0612399\pi\) |
−0.995659 | + | 0.0930735i | \(0.970331\pi\) | |||||||
\(642\) | −1.90687 | + | 2.24643i | −0.0752581 | + | 0.0886596i | ||||
\(643\) | − | 29.8445i | − | 1.17695i | −0.808514 | − | 0.588477i | \(-0.799728\pi\) | ||
0.808514 | − | 0.588477i | \(-0.200272\pi\) | |||||||
\(644\) | −1.81881 | − | 4.43756i | −0.0716711 | − | 0.174864i | ||||
\(645\) | 1.42724 | − | 10.6985i | 0.0561977 | − | 0.421251i | ||||
\(646\) | −5.20475 | − | 3.34489i | −0.204778 | − | 0.131603i | ||||
\(647\) | 17.5747 | − | 2.52685i | 0.690931 | − | 0.0993409i | 0.212100 | − | 0.977248i | \(-0.431970\pi\) |
0.478831 | + | 0.877907i | \(0.341061\pi\) | |||||||
\(648\) | 8.95314 | + | 0.917263i | 0.351712 | + | 0.0360335i | ||||
\(649\) | 5.18249 | − | 17.6499i | 0.203431 | − | 0.692821i | ||||
\(650\) | −17.7126 | − | 8.08908i | −0.694746 | − | 0.317280i | ||||
\(651\) | −4.31824 | − | 4.88224i | −0.169245 | − | 0.191350i | ||||
\(652\) | 1.79060 | − | 12.4539i | 0.0701255 | − | 0.487733i | ||||
\(653\) | 3.63035 | + | 12.3638i | 0.142067 | + | 0.483834i | 0.999528 | − | 0.0307137i | \(-0.00977800\pi\) |
−0.857462 | + | 0.514548i | \(0.827960\pi\) | |||||||
\(654\) | −13.4570 | − | 20.4783i | −0.526210 | − | 0.800764i | ||||
\(655\) | −1.39125 | − | 2.16483i | −0.0543608 | − | 0.0845870i | ||||
\(656\) | −4.22359 | − | 6.57204i | −0.164904 | − | 0.256595i | ||||
\(657\) | 8.54259 | + | 17.7410i | 0.333278 | + | 0.692144i | ||||
\(658\) | −0.819914 | − | 2.79237i | −0.0319636 | − | 0.108858i | ||||
\(659\) | 5.18468 | − | 36.0602i | 0.201966 | − | 1.40471i | −0.596474 | − | 0.802632i | \(-0.703432\pi\) |
0.798440 | − | 0.602074i | \(-0.205659\pi\) | |||||||
\(660\) | −5.58997 | + | 4.94422i | −0.217589 | + | 0.192454i | ||||
\(661\) | 26.5900 | + | 12.1432i | 1.03423 | + | 0.472317i | 0.858873 | − | 0.512188i | \(-0.171165\pi\) |
0.175356 | + | 0.984505i | \(0.443892\pi\) | |||||||
\(662\) | −8.68020 | + | 29.5620i | −0.337366 | + | 1.14896i | ||||
\(663\) | 1.91043 | + | 6.26960i | 0.0741950 | + | 0.243491i | ||||
\(664\) | 2.09576 | − | 0.301325i | 0.0813314 | − | 0.0116937i | ||||
\(665\) | −6.69479 | − | 4.30248i | −0.259613 | − | 0.166843i | ||||
\(666\) | 14.2702 | + | 3.87646i | 0.552957 | + | 0.150210i | ||||
\(667\) | 47.0226 | − | 11.8159i | 1.82072 | − | 0.457512i | ||||
\(668\) | 18.2700i | 0.706888i | ||||||||
\(669\) | 7.89810 | + | 6.70425i | 0.305358 | + | 0.259201i | ||||
\(670\) | 1.14281 | + | 7.94841i | 0.0441506 | + | 0.307074i | ||||
\(671\) | 32.5242 | − | 14.8533i | 1.25558 | − | 0.573405i | ||||
\(672\) | −1.58277 | − | 0.703450i | −0.0610566 | − | 0.0271362i | ||||
\(673\) | 13.2019 | − | 28.9081i | 0.508895 | − | 1.11432i | −0.464580 | − | 0.885531i | \(-0.653795\pi\) |
0.973475 | − | 0.228794i | \(-0.0734781\pi\) | |||||||
\(674\) | 15.8931 | − | 18.3416i | 0.612179 | − | 0.706492i | ||||
\(675\) | −10.6986 | + | 17.8208i | −0.411788 | + | 0.685922i | ||||
\(676\) | 10.2627 | − | 3.01340i | 0.394719 | − | 0.115900i | ||||
\(677\) | 20.1926 | + | 23.3035i | 0.776066 | + | 0.895627i | 0.996819 | − | 0.0797023i | \(-0.0253970\pi\) |
−0.220753 | + | 0.975330i | \(0.570852\pi\) | |||||||
\(678\) | 7.72670 | + | 16.4734i | 0.296742 | + | 0.632657i | ||||
\(679\) | 2.44467 | − | 1.57109i | 0.0938179 | − | 0.0602931i | ||||
\(680\) | −0.587436 | + | 0.509016i | −0.0225271 | + | 0.0195199i | ||||
\(681\) | 1.91791 | − | 0.295705i | 0.0734946 | − | 0.0113314i | ||||
\(682\) | −16.0504 | − | 2.30770i | −0.614602 | − | 0.0883665i | ||||
\(683\) | −22.6385 | − | 19.6164i | −0.866240 | − | 0.750601i | 0.103529 | − | 0.994626i | \(-0.466986\pi\) |
−0.969769 | + | 0.244026i | \(0.921532\pi\) | |||||||
\(684\) | 18.3591 | + | 15.2653i | 0.701980 | + | 0.583685i | ||||
\(685\) | 8.15169 | + | 2.39355i | 0.311460 | + | 0.0914529i | ||||
\(686\) | 0.415415 | + | 0.909632i | 0.0158606 | + | 0.0347299i | ||||
\(687\) | −9.38408 | + | 0.0954964i | −0.358025 | + | 0.00364341i | ||||
\(688\) | 3.36930 | − | 5.24273i | 0.128453 | − | 0.199877i | ||||
\(689\) | −30.4625 | −1.16053 | ||||||||
\(690\) | 8.18325 | + | 1.42190i | 0.311531 | + | 0.0541307i | ||||
\(691\) | −36.1964 | −1.37698 | −0.688488 | − | 0.725248i | \(-0.741725\pi\) | ||||
−0.688488 | + | 0.725248i | \(0.741725\pi\) | |||||||
\(692\) | −7.23421 | + | 11.2567i | −0.275003 | + | 0.427914i | ||||
\(693\) | −12.8303 | − | 1.57894i | −0.487383 | − | 0.0599790i | ||||
\(694\) | −6.42447 | − | 14.0676i | −0.243870 | − | 0.534000i | ||||
\(695\) | −0.911644 | − | 0.267683i | −0.0345806 | − | 0.0101538i | ||||
\(696\) | 9.31651 | − | 14.8264i | 0.353141 | − | 0.561991i | ||||
\(697\) | −4.58959 | − | 3.97690i | −0.173843 | − | 0.150636i | ||||
\(698\) | −12.2656 | − | 1.76352i | −0.464259 | − | 0.0667504i | ||||
\(699\) | −4.24892 | − | 27.5582i | −0.160709 | − | 1.04235i | ||||
\(700\) | 3.02314 | − | 2.61956i | 0.114264 | − | 0.0990102i | ||||
\(701\) | 22.2483 | − | 14.2981i | 0.840307 | − | 0.540033i | −0.0482305 | − | 0.998836i | \(-0.515358\pi\) |
0.888538 | + | 0.458804i | \(0.151722\pi\) | |||||||
\(702\) | −4.36225 | − | 24.9151i | −0.164643 | − | 0.940360i | ||||
\(703\) | 25.6902 | + | 29.6480i | 0.968923 | + | 1.11820i | ||||
\(704\) | −4.13449 | + | 1.21400i | −0.155824 | + | 0.0457542i | ||||
\(705\) | 4.85029 | + | 1.37072i | 0.182672 | + | 0.0516242i | ||||
\(706\) | −10.1132 | + | 11.6712i | −0.380615 | + | 0.439253i | ||||
\(707\) | 4.65842 | − | 10.2005i | 0.175198 | − | 0.383630i | ||||
\(708\) | −3.00300 | + | 6.75677i | −0.112860 | + | 0.253935i | ||||
\(709\) | −8.86591 | + | 4.04893i | −0.332966 | + | 0.152061i | −0.574881 | − | 0.818237i | \(-0.694952\pi\) |
0.241915 | + | 0.970297i | \(0.422225\pi\) | |||||||
\(710\) | 1.48118 | + | 10.3018i | 0.0555878 | + | 0.386622i | ||||
\(711\) | −4.34197 | + | 3.91986i | −0.162837 | + | 0.147006i | ||||
\(712\) | 13.4618i | 0.504502i | ||||||||
\(713\) | 9.15128 | + | 15.5551i | 0.342718 | + | 0.582543i | ||||
\(714\) | −1.33460 | − | 0.178045i | −0.0499463 | − | 0.00666317i | ||||
\(715\) | 17.6443 | + | 11.3393i | 0.659859 | + | 0.424066i | ||||
\(716\) | 6.08973 | − | 0.875571i | 0.227584 | − | 0.0327216i | ||||
\(717\) | −27.4656 | + | 8.36913i | −1.02572 | + | 0.312551i | ||||
\(718\) | −7.16063 | + | 24.3869i | −0.267232 | + | 0.910110i | ||||
\(719\) | −6.39185 | − | 2.91906i | −0.238376 | − | 0.108863i | 0.292646 | − | 0.956221i | \(-0.405464\pi\) |
−0.531021 | + | 0.847358i | \(0.678192\pi\) | |||||||
\(720\) | 2.49000 | − | 1.67279i | 0.0927969 | − | 0.0623413i | ||||
\(721\) | 0.325319 | − | 2.26264i | 0.0121155 | − | 0.0842652i | ||||
\(722\) | 12.4929 | + | 42.5470i | 0.464939 | + | 1.58344i | ||||
\(723\) | −40.3995 | + | 26.5479i | −1.50247 | + | 0.987327i | ||||
\(724\) | 14.0367 | + | 21.8416i | 0.521671 | + | 0.811737i | ||||
\(725\) | 21.8639 | + | 34.0208i | 0.812004 | + | 1.26350i | ||||
\(726\) | −10.9543 | + | 7.19845i | −0.406552 | + | 0.267160i | ||||
\(727\) | 1.58018 | + | 5.38160i | 0.0586056 | + | 0.199593i | 0.983592 | − | 0.180408i | \(-0.0577419\pi\) |
−0.924986 | + | 0.380001i | \(0.875924\pi\) | |||||||
\(728\) | −0.692767 | + | 4.81830i | −0.0256757 | + | 0.178578i | ||||
\(729\) | −26.9497 | + | 1.64750i | −0.998137 | + | 0.0610185i | ||||
\(730\) | 5.96986 | + | 2.72634i | 0.220954 | + | 0.100906i | ||||
\(731\) | 1.36487 | − | 4.64831i | 0.0504814 | − | 0.171924i | ||||
\(732\) | −13.7480 | + | 4.18921i | −0.508142 | + | 0.154838i | ||||
\(733\) | 7.49426 | − | 1.07751i | 0.276807 | − | 0.0397988i | −0.00251330 | − | 0.999997i | \(-0.500800\pi\) |
0.279320 | + | 0.960198i | \(0.409891\pi\) | |||||||
\(734\) | −2.14846 | − | 1.38073i | −0.0793012 | − | 0.0509638i | ||||
\(735\) | −1.71668 | − | 0.229017i | −0.0633208 | − | 0.00844742i | ||||
\(736\) | 3.92920 | + | 2.74979i | 0.144832 | + | 0.101359i | ||||
\(737\) | 34.6054i | 1.27471i | ||||||||
\(738\) | 15.7050 | + | 17.3962i | 0.578109 | + | 0.640363i | ||||
\(739\) | 1.26213 | + | 8.77834i | 0.0464284 | + | 0.322916i | 0.999778 | + | 0.0210494i | \(0.00670073\pi\) |
−0.953350 | + | 0.301867i | \(0.902390\pi\) | |||||||
\(740\) | 4.48326 | − | 2.04743i | 0.164808 | − | 0.0752652i | ||||
\(741\) | 27.2534 | − | 61.3204i | 1.00118 | − | 2.25266i | ||||
\(742\) | 2.59963 | − | 5.69239i | 0.0954353 | − | 0.208974i | ||||
\(743\) | 5.04208 | − | 5.81888i | 0.184976 | − | 0.213474i | −0.655686 | − | 0.755034i | \(-0.727621\pi\) |
0.840662 | + | 0.541560i | \(0.182166\pi\) | |||||||
\(744\) | 6.27228 | + | 1.77258i | 0.229953 | + | 0.0649859i | ||||
\(745\) | −18.7940 | + | 5.51841i | −0.688558 | + | 0.202179i | ||||
\(746\) | 2.72289 | + | 3.14238i | 0.0996921 | + | 0.115051i | ||||
\(747\) | −6.05697 | + | 1.91321i | −0.221613 | + | 0.0700007i | ||||
\(748\) | −2.81793 | + | 1.81097i | −0.103034 | + | 0.0662157i | ||||
\(749\) | −1.28571 | + | 1.11407i | −0.0469788 | + | 0.0407073i | ||||
\(750\) | 2.37520 | + | 15.4053i | 0.0867299 | + | 0.562523i | ||||
\(751\) | 39.4026 | + | 5.66525i | 1.43782 | + | 0.206728i | 0.816735 | − | 0.577013i | \(-0.195782\pi\) |
0.621088 | + | 0.783741i | \(0.286691\pi\) | |||||||
\(752\) | 2.19943 | + | 1.90581i | 0.0802048 | + | 0.0694979i | ||||
\(753\) | −18.5350 | + | 29.4967i | −0.675452 | + | 1.07492i | ||||
\(754\) | −47.2190 | − | 13.8648i | −1.71962 | − | 0.504925i | ||||
\(755\) | −3.31230 | − | 7.25293i | −0.120547 | − | 0.263961i | ||||
\(756\) | 5.02803 | + | 1.31106i | 0.182868 | + | 0.0476829i | ||||
\(757\) | −27.4206 | + | 42.6673i | −0.996619 | + | 1.55077i | −0.171989 | + | 0.985099i | \(0.555019\pi\) |
−0.824631 | + | 0.565671i | \(0.808617\pi\) | |||||||
\(758\) | 20.3575 | 0.739417 | ||||||||
\(759\) | 34.0342 | + | 11.0840i | 1.23536 | + | 0.402322i | ||||
\(760\) | 7.95812 | 0.288671 | ||||||||
\(761\) | 21.3137 | − | 33.1648i | 0.772622 | − | 1.20222i | −0.202223 | − | 0.979339i | \(-0.564817\pi\) |
0.974845 | − | 0.222884i | \(-0.0715470\pi\) | |||||||
\(762\) | 38.2970 | − | 0.389726i | 1.38735 | − | 0.0141183i | ||||
\(763\) | −5.87706 | − | 12.8690i | −0.212764 | − | 0.465888i | ||||
\(764\) | −17.2143 | − | 5.05457i | −0.622790 | − | 0.182868i | ||||
\(765\) | 1.49087 | − | 1.79302i | 0.0539025 | − | 0.0648268i | ||||
\(766\) | 2.39331 | + | 2.07382i | 0.0864739 | + | 0.0749300i | ||||
\(767\) | 20.5691 | + | 2.95739i | 0.742707 | + | 0.106785i | ||||
\(768\) | 1.71182 | − | 0.263930i | 0.0617701 | − | 0.00952374i | ||||
\(769\) | 40.4916 | − | 35.0862i | 1.46016 | − | 1.26524i | 0.560865 | − | 0.827907i | \(-0.310469\pi\) |
0.899300 | − | 0.437333i | \(-0.144077\pi\) | |||||||
\(770\) | −3.62466 | + | 2.32943i | −0.130624 | + | 0.0839467i | ||||
\(771\) | −14.4627 | − | 30.8346i | −0.520860 | − | 1.11048i | ||||
\(772\) | 0.833439 | + | 0.961840i | 0.0299961 | + | 0.0346174i | ||||
\(773\) | 7.21020 | − | 2.11711i | 0.259333 | − | 0.0761471i | −0.149482 | − | 0.988765i | \(-0.547760\pi\) |
0.408815 | + | 0.912617i | \(0.365942\pi\) | |||||||
\(774\) | −7.41895 | + | 17.1611i | −0.266669 | + | 0.616845i | ||||
\(775\) | −9.85776 | + | 11.3765i | −0.354101 | + | 0.408655i | ||||
\(776\) | −1.20719 | + | 2.64338i | −0.0433356 | + | 0.0948917i | ||||
\(777\) | 7.80163 | + | 3.46738i | 0.279882 | + | 0.124391i | ||||
\(778\) | −20.8104 | + | 9.50377i | −0.746088 | + | 0.340727i | ||||
\(779\) | 8.84858 | + | 61.5432i | 0.317033 | + | 2.20502i | ||||
\(780\) | −6.42727 | − | 5.45574i | −0.230133 | − | 0.195347i | ||||
\(781\) | 44.8516i | 1.60492i | ||||||||
\(782\) | 3.53291 | + | 1.19047i | 0.126337 | + | 0.0425710i | ||||
\(783\) | −20.3537 | + | 48.4282i | −0.727381 | + | 1.73068i | ||||
\(784\) | −0.841254 | − | 0.540641i | −0.0300448 | − | 0.0193086i | ||||
\(785\) | −11.9892 | + | 1.72379i | −0.427913 | + | 0.0615246i | ||||
\(786\) | 1.29930 | + | 4.26400i | 0.0463445 | + | 0.152092i | ||||
\(787\) | −9.79753 | + | 33.3673i | −0.349244 | + | 1.18942i | 0.578338 | + | 0.815797i | \(0.303702\pi\) |
−0.927582 | + | 0.373619i | \(0.878117\pi\) | |||||||
\(788\) | −7.68226 | − | 3.50837i | −0.273669 | − | 0.124981i | ||||
\(789\) | 26.8724 | − | 23.7681i | 0.956682 | − | 0.846167i | ||||
\(790\) | −0.277470 | + | 1.92985i | −0.00987195 | + | 0.0686609i | ||||
\(791\) | 2.95964 | + | 10.0796i | 0.105233 | + | 0.358390i | ||||
\(792\) | 11.6472 | − | 5.60831i | 0.413865 | − | 0.199282i | ||||
\(793\) | 21.8377 | + | 33.9801i | 0.775478 | + | 1.20667i | ||||
\(794\) | 11.3166 | + | 17.6089i | 0.401610 | + | 0.624917i | ||||
\(795\) | 5.95195 | + | 9.05742i | 0.211094 | + | 0.321234i | ||||
\(796\) | 1.84296 | + | 6.27654i | 0.0653219 | + | 0.222466i | ||||
\(797\) | 5.97859 | − | 41.5820i | 0.211772 | − | 1.47291i | −0.555461 | − | 0.831542i | \(-0.687458\pi\) |
0.767234 | − | 0.641367i | \(-0.221633\pi\) | |||||||
\(798\) | 9.13289 | + | 10.3257i | 0.323301 | + | 0.365526i | ||||
\(799\) | 2.05788 | + | 0.939801i | 0.0728025 | + | 0.0332478i | ||||
\(800\) | −1.12698 | + | 3.83815i | −0.0398448 | + | 0.135699i | ||||
\(801\) | −6.55975 | − | 39.8490i | −0.231777 | − | 1.40800i | ||||
\(802\) | 21.2081 | − | 3.04927i | 0.748885 | − | 0.107673i | ||||
\(803\) | 23.7928 | + | 15.2907i | 0.839628 | + | 0.539596i | ||||
\(804\) | 1.83938 | − | 13.7877i | 0.0648698 | − | 0.486256i | ||||
\(805\) | 4.54433 | + | 1.53128i | 0.160167 | + | 0.0539705i | ||||
\(806\) | − | 18.3184i | − | 0.645237i | ||||||
\(807\) | 36.2730 | − | 42.7323i | 1.27687 | − | 1.50425i | ||||
\(808\) | 1.59590 | + | 11.0998i | 0.0561437 | + | 0.390488i | ||||
\(809\) | −46.4601 | + | 21.2176i | −1.63345 | + | 0.745972i | −0.999622 | − | 0.0275007i | \(-0.991245\pi\) |
−0.633829 | + | 0.773473i | \(0.718518\pi\) | |||||||
\(810\) | −6.55568 | + | 6.16508i | −0.230343 | + | 0.216619i | ||||
\(811\) | −6.42184 | + | 14.0619i | −0.225501 | + | 0.493779i | −0.988237 | − | 0.152931i | \(-0.951129\pi\) |
0.762735 | + | 0.646711i | \(0.223856\pi\) | |||||||
\(812\) | 6.62045 | − | 7.64040i | 0.232332 | − | 0.268126i | ||||
\(813\) | 0.710400 | − | 2.51375i | 0.0249148 | − | 0.0881611i | ||||
\(814\) | 20.3793 | − | 5.98391i | 0.714295 | − | 0.209736i | ||||
\(815\) | 8.23870 | + | 9.50796i | 0.288589 | + | 0.333049i | ||||
\(816\) | 1.21900 | − | 0.571760i | 0.0426735 | − | 0.0200156i | ||||
\(817\) | −41.7261 | + | 26.8157i | −1.45981 | + | 0.938164i | ||||
\(818\) | −10.8423 | + | 9.39488i | −0.379091 | + | 0.328484i | ||||
\(819\) | −0.297193 | − | 14.6005i | −0.0103848 | − | 0.510184i | ||||
\(820\) | 7.73198 | + | 1.11169i | 0.270012 | + | 0.0388219i | ||||
\(821\) | −26.0253 | − | 22.5510i | −0.908288 | − | 0.787036i | 0.0692927 | − | 0.997596i | \(-0.477926\pi\) |
−0.977581 | + | 0.210560i | \(0.932471\pi\) | |||||||
\(822\) | −12.4607 | − | 7.82998i | −0.434616 | − | 0.273102i | ||||
\(823\) | 1.13660 | + | 0.333737i | 0.0396195 | + | 0.0116333i | 0.301482 | − | 0.953472i | \(-0.402519\pi\) |
−0.261863 | + | 0.965105i | \(0.584337\pi\) | |||||||
\(824\) | 0.949601 | + | 2.07934i | 0.0330809 | + | 0.0724371i | ||||
\(825\) | 0.303804 | + | 29.8537i | 0.0105771 | + | 1.03937i | ||||
\(826\) | −2.30797 | + | 3.59127i | −0.0803046 | + | 0.124956i | ||||
\(827\) | 15.7040 | 0.546080 | 0.273040 | − | 0.962003i | \(-0.411971\pi\) | ||||
0.273040 | + | 0.962003i | \(0.411971\pi\) | |||||||
\(828\) | −12.9710 | − | 6.22517i | −0.450774 | − | 0.216340i | ||||
\(829\) | −23.9717 | −0.832572 | −0.416286 | − | 0.909234i | \(-0.636668\pi\) | ||||
−0.416286 | + | 0.909234i | \(0.636668\pi\) | |||||||
\(830\) | −1.14460 | + | 1.78104i | −0.0397297 | + | 0.0618207i | ||||
\(831\) | 0.211240 | + | 20.7578i | 0.00732785 | + | 0.720081i | ||||
\(832\) | −2.02218 | − | 4.42795i | −0.0701064 | − | 0.153512i | ||||
\(833\) | −0.745872 | − | 0.219008i | −0.0258429 | − | 0.00758817i | ||||
\(834\) | 1.39354 | + | 0.875666i | 0.0482543 | + | 0.0303218i | ||||
\(835\) | −13.8063 | − | 11.9632i | −0.477786 | − | 0.414004i | ||||
\(836\) | 33.9459 | + | 4.88068i | 1.17404 | + | 0.168802i | ||||
\(837\) | −19.4307 | − | 2.19073i | −0.671623 | − | 0.0757225i | ||||
\(838\) | −13.4636 | + | 11.6663i | −0.465092 | + | 0.403005i | ||||
\(839\) | 25.3287 | − | 16.2778i | 0.874443 | − | 0.561971i | −0.0246654 | − | 0.999696i | \(-0.507852\pi\) |
0.899109 | + | 0.437725i | \(0.144216\pi\) | |||||||
\(840\) | 1.56798 | − | 0.735448i | 0.0541005 | − | 0.0253754i | ||||
\(841\) | 47.9397 | + | 55.3254i | 1.65309 | + | 1.90777i | ||||
\(842\) | 13.0181 | − | 3.82246i | 0.448634 | − | 0.131731i | ||||
\(843\) | 14.3092 | − | 50.6330i | 0.492834 | − | 1.74389i | ||||
\(844\) | 12.9401 | − | 14.9337i | 0.445416 | − | 0.514038i | ||||
\(845\) | −4.44286 | + | 9.72850i | −0.152839 | + | 0.334671i | ||||
\(846\) | −7.43933 | − | 4.56976i | −0.255769 | − | 0.157112i | ||||
\(847\) | −6.88391 | + | 3.14377i | −0.236534 | + | 0.108021i | ||||
\(848\) | 0.890592 | + | 6.19421i | 0.0305831 | + | 0.212710i | ||||
\(849\) | −2.18419 | + | 2.57314i | −0.0749613 | + | 0.0883099i | ||||
\(850\) | 3.10958i | 0.106658i | ||||||||
\(851\) | −19.3674 | − | 13.5540i | −0.663907 | − | 0.464625i | ||||
\(852\) | 2.38400 | − | 17.8701i | 0.0816744 | − | 0.612221i | ||||
\(853\) | −17.8854 | − | 11.4942i | −0.612384 | − | 0.393555i | 0.197366 | − | 0.980330i | \(-0.436761\pi\) |
−0.809750 | + | 0.586774i | \(0.800398\pi\) | |||||||
\(854\) | −8.21329 | + | 1.18089i | −0.281053 | + | 0.0404093i | ||||
\(855\) | −23.5573 | + | 3.87789i | −0.805643 | + | 0.132621i | ||||
\(856\) | 0.479294 | − | 1.63232i | 0.0163819 | − | 0.0557917i | ||||
\(857\) | −48.2126 | − | 22.0179i | −1.64691 | − | 0.752118i | −0.646964 | − | 0.762521i | \(-0.723962\pi\) |
−0.999946 | + | 0.0104023i | \(0.996689\pi\) | |||||||
\(858\) | −24.0699 | − | 27.2137i | −0.821734 | − | 0.929059i | ||||
\(859\) | 1.04123 | − | 7.24193i | 0.0355264 | − | 0.247092i | −0.964318 | − | 0.264748i | \(-0.914711\pi\) |
0.999844 | + | 0.0176561i | \(0.00562042\pi\) | |||||||
\(860\) | 1.75561 | + | 5.97906i | 0.0598658 | + | 0.203884i | ||||
\(861\) | 7.43093 | + | 11.3081i | 0.253246 | + | 0.385378i | ||||
\(862\) | −4.05237 | − | 6.30561i | −0.138024 | − | 0.214770i | ||||
\(863\) | 12.2127 | + | 19.0033i | 0.415725 | + | 0.646881i | 0.984454 | − | 0.175644i | \(-0.0562008\pi\) |
−0.568728 | + | 0.822525i | \(0.692564\pi\) | |||||||
\(864\) | −4.93866 | + | 1.61542i | −0.168017 | + | 0.0549578i | ||||
\(865\) | −3.76946 | − | 12.8376i | −0.128166 | − | 0.436492i | ||||
\(866\) | 0.919833 | − | 6.39758i | 0.0312572 | − | 0.217398i | ||||
\(867\) | −21.2716 | + | 18.8143i | −0.722421 | + | 0.638967i | ||||
\(868\) | 3.42307 | + | 1.56326i | 0.116186 | + | 0.0530606i | ||||
\(869\) | −2.36714 | + | 8.06173i | −0.0802996 | + | 0.273475i | ||||
\(870\) | 5.10353 | + | 16.7486i | 0.173026 | + | 0.567831i | ||||
\(871\) | −38.6952 | + | 5.56353i | −1.31114 | + | 0.188513i | ||||
\(872\) | 11.9016 | + | 7.64869i | 0.403039 | + | 0.259017i | ||||
\(873\) | 2.28539 | − | 8.41307i | 0.0773489 | − | 0.284739i | ||||
\(874\) | −19.3545 | − | 32.8983i | −0.654677 | − | 1.11280i | ||||
\(875\) | 8.99936i | 0.304234i | ||||||||
\(876\) | −8.66696 | − | 7.35689i | −0.292829 | − | 0.248566i | ||||
\(877\) | −1.70757 | − | 11.8764i | −0.0576606 | − | 0.401038i | −0.998128 | − | 0.0611552i | \(-0.980522\pi\) |
0.940468 | − | 0.339883i | \(-0.110388\pi\) | |||||||
\(878\) | −9.04428 | + | 4.13038i | −0.305230 | + | 0.139394i | ||||
\(879\) | −6.16996 | − | 2.74220i | −0.208108 | − | 0.0924920i | ||||
\(880\) | 1.78987 | − | 3.91928i | 0.0603366 | − | 0.132119i | ||||
\(881\) | −18.0226 | + | 20.7992i | −0.607198 | + | 0.700744i | −0.973224 | − | 0.229861i | \(-0.926173\pi\) |
0.366025 | + | 0.930605i | \(0.380718\pi\) | |||||||
\(882\) | 2.75369 | + | 1.19045i | 0.0927217 | + | 0.0400846i | ||||
\(883\) | 12.2256 | − | 3.58975i | 0.411423 | − | 0.120805i | −0.0694700 | − | 0.997584i | \(-0.522131\pi\) |
0.480893 | + | 0.876779i | \(0.340313\pi\) | |||||||
\(884\) | −2.47804 | − | 2.85981i | −0.0833456 | − | 0.0961859i | ||||
\(885\) | −3.13959 | − | 6.69364i | −0.105536 | − | 0.225004i | ||||
\(886\) | −8.95035 | + | 5.75204i | −0.300693 | + | 0.193243i | ||||
\(887\) | −11.1308 | + | 9.64492i | −0.373737 | + | 0.323845i | −0.821395 | − | 0.570360i | \(-0.806804\pi\) |
0.447658 | + | 0.894205i | \(0.352258\pi\) | |||||||
\(888\) | −8.43775 | + | 1.30094i | −0.283152 | + | 0.0436565i | ||||
\(889\) | 21.8869 | + | 3.14686i | 0.734062 | + | 0.105542i | ||||
\(890\) | −10.1728 | − | 8.81478i | −0.340993 | − | 0.295472i | ||||
\(891\) | −31.7447 | + | 22.2770i | −1.06349 | + | 0.746308i | ||||
\(892\) | −5.73899 | − | 1.68512i | −0.192156 | − | 0.0564220i | ||||
\(893\) | −9.62196 | − | 21.0692i | −0.321987 | − | 0.705053i | ||||
\(894\) | 33.9277 | − | 0.345263i | 1.13471 | − | 0.0115473i | ||||
\(895\) | −3.32591 | + | 5.17521i | −0.111173 | + | 0.172988i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −6.92222 | + | 39.8385i | −0.231126 | + | 1.33017i | ||||
\(898\) | −1.04199 | −0.0347717 | ||||||||
\(899\) | −20.5682 | + | 32.0048i | −0.685988 | + | 1.06742i | ||||
\(900\) | 1.46577 | − | 11.9107i | 0.0488589 | − | 0.397023i | ||||
\(901\) | 2.02085 | + | 4.42504i | 0.0673242 | + | 0.147419i | ||||
\(902\) | 32.2995 | + | 9.48398i | 1.07545 | + | 0.315782i | ||||
\(903\) | −5.74309 | + | 9.13959i | −0.191118 | + | 0.304147i | ||||
\(904\) | −7.93926 | − | 6.87941i | −0.264056 | − | 0.228806i | ||||
\(905\) | −25.6965 | − | 3.69460i | −0.854182 | − | 0.122813i | ||||
\(906\) | 2.10463 | + | 13.6504i | 0.0699216 | + | 0.453505i | ||||
\(907\) | −15.5420 | + | 13.4672i | −0.516063 | + | 0.447171i | −0.873541 | − | 0.486750i | \(-0.838182\pi\) |
0.357478 | + | 0.933922i | \(0.383637\pi\) | |||||||
\(908\) | −0.942534 | + | 0.605730i | −0.0312791 | + | 0.0201018i | ||||
\(909\) | −10.1329 | − | 32.0794i | −0.336087 | − | 1.06401i | ||||
\(910\) | −3.18747 | − | 3.67854i | −0.105664 | − | 0.121942i | ||||
\(911\) | 6.66479 | − | 1.95696i | 0.220814 | − | 0.0648370i | −0.169454 | − | 0.985538i | \(-0.554200\pi\) |
0.390268 | + | 0.920701i | \(0.372382\pi\) | |||||||
\(912\) | −13.2656 | − | 3.74892i | −0.439267 | − | 0.124139i | ||||
\(913\) | −5.97468 | + | 6.89515i | −0.197733 | + | 0.228196i | ||||
\(914\) | 10.2894 | − | 22.5306i | 0.340343 | − | 0.745247i | ||||
\(915\) | 5.83652 | − | 13.1322i | 0.192949 | − | 0.434138i | ||||
\(916\) | 4.92855 | − | 2.25079i | 0.162844 | − | 0.0743683i | ||||
\(917\) | 0.366258 | + | 2.54738i | 0.0120949 | + | 0.0841220i | ||||
\(918\) | −3.32982 | + | 2.28650i | −0.109900 | + | 0.0754659i | ||||
\(919\) | 5.78006i | 0.190667i | 0.995445 | + | 0.0953333i | \(0.0303917\pi\) | ||||
−0.995445 | + | 0.0953333i | \(0.969608\pi\) | |||||||
\(920\) | −4.65081 | + | 1.16866i | −0.153333 | + | 0.0385295i | ||||
\(921\) | −46.4407 | − | 6.19550i | −1.53027 | − | 0.204149i | ||||
\(922\) | −30.5759 | − | 19.6500i | −1.00696 | − | 0.647137i | ||||
\(923\) | −50.1525 | + | 7.21083i | −1.65079 | + | 0.237348i | ||||
\(924\) | 7.13938 | − | 2.17546i | 0.234868 | − | 0.0715675i | ||||
\(925\) | 5.55501 | − | 18.9186i | 0.182647 | − | 0.622040i | ||||
\(926\) | 24.0965 | + | 11.0045i | 0.791860 | + | 0.361630i | ||||
\(927\) | −3.82421 | − | 5.69244i | −0.125603 | − | 0.186964i | ||||
\(928\) | −1.43876 | + | 10.0068i | −0.0472296 | + | 0.328489i | ||||
\(929\) | 3.25360 | + | 11.0808i | 0.106747 | + | 0.363548i | 0.995491 | − | 0.0948566i | \(-0.0302393\pi\) |
−0.888744 | + | 0.458405i | \(0.848421\pi\) | |||||||
\(930\) | −5.44659 | + | 3.57915i | −0.178601 | + | 0.117365i | ||||
\(931\) | 4.30288 | + | 6.69541i | 0.141021 | + | 0.219433i | ||||
\(932\) | 8.70362 | + | 13.5431i | 0.285097 | + | 0.443619i | ||||
\(933\) | 44.8251 | − | 29.4561i | 1.46751 | − | 0.964350i | ||||
\(934\) | 0.710723 | + | 2.42050i | 0.0232556 | + | 0.0792012i | ||||
\(935\) | 0.476665 | − | 3.31528i | 0.0155886 | − | 0.108421i | ||||
\(936\) | 8.14366 | + | 12.1221i | 0.266184 | + | 0.396222i | ||||
\(937\) | −24.4086 | − | 11.1470i | −0.797395 | − | 0.364158i | −0.0253116 | − | 0.999680i | \(-0.508058\pi\) |
−0.772083 | + | 0.635522i | \(0.780785\pi\) | |||||||
\(938\) | 2.26256 | − | 7.70558i | 0.0738753 | − | 0.251596i | ||||
\(939\) | 32.8274 | − | 10.0030i | 1.07128 | − | 0.326434i | ||||
\(940\) | −2.88037 | + | 0.414135i | −0.0939473 | + | 0.0135076i | ||||
\(941\) | −6.23663 | − | 4.00804i | −0.203308 | − | 0.130658i | 0.435025 | − | 0.900418i | \(-0.356740\pi\) |
−0.638333 | + | 0.769760i | \(0.720376\pi\) | |||||||
\(942\) | 20.7971 | + | 2.77448i | 0.677607 | + | 0.0903973i | ||||
\(943\) | −14.2089 | − | 34.6671i | −0.462705 | − | 1.12892i | ||||
\(944\) | − | 4.26895i | − | 0.138943i | ||||||
\(945\) | −4.28310 | + | 2.94110i | −0.139329 | + | 0.0956740i | ||||
\(946\) | 3.82174 | + | 26.5808i | 0.124255 | + | 0.864216i | ||||
\(947\) | −5.01017 | + | 2.28807i | −0.162809 | + | 0.0743523i | −0.495153 | − | 0.868806i | \(-0.664888\pi\) |
0.332344 | + | 0.943158i | \(0.392161\pi\) | |||||||
\(948\) | 1.37164 | − | 3.08620i | 0.0445487 | − | 0.100235i | ||||
\(949\) | −13.2726 | + | 29.0630i | −0.430848 | + | 0.943426i | ||||
\(950\) | 20.8487 | − | 24.0607i | 0.676421 | − | 0.780632i | ||||
\(951\) | −14.9251 | − | 4.21792i | −0.483980 | − | 0.136776i | ||||
\(952\) | 0.745872 | − | 0.219008i | 0.0241738 | − | 0.00709808i | ||||
\(953\) | −10.2130 | − | 11.7865i | −0.330833 | − | 0.381802i | 0.565825 | − | 0.824525i | \(-0.308558\pi\) |
−0.896658 | + | 0.442724i | \(0.854012\pi\) | |||||||
\(954\) | −5.65465 | − | 17.9019i | −0.183076 | − | 0.579594i | ||||
\(955\) | 15.0916 | − | 9.69875i | 0.488351 | − | 0.313844i | ||||
\(956\) | 12.5281 | − | 10.8557i | 0.405189 | − | 0.351098i | ||||
\(957\) | 11.4976 | + | 74.5723i | 0.371664 | + | 2.41058i | ||||
\(958\) | 23.1184 | + | 3.32392i | 0.746921 | + | 0.107391i | ||||
\(959\) | −6.42131 | − | 5.56410i | −0.207355 | − | 0.179674i | ||||
\(960\) | −0.921457 | + | 1.46641i | −0.0297399 | + | 0.0473283i | ||||
\(961\) | 16.1567 | + | 4.74405i | 0.521185 | + | 0.153034i | ||||
\(962\) | 9.96752 | + | 21.8258i | 0.321366 | + | 0.703693i | ||||
\(963\) | −0.623376 | + | 5.06549i | −0.0200880 | + | 0.163233i | ||||
\(964\) | 15.0893 | − | 23.4794i | 0.485993 | − | 0.756221i | ||||
\(965\) | −1.27258 | −0.0409658 | ||||||||
\(966\) | −6.85370 | − | 4.69328i | −0.220514 | − | 0.151004i | ||||
\(967\) | 46.1400 | 1.48376 | 0.741881 | − | 0.670532i | \(-0.233934\pi\) | ||||
0.741881 | + | 0.670532i | \(0.233934\pi\) | |||||||
\(968\) | 4.09146 | − | 6.36643i | 0.131504 | − | 0.204625i | ||||
\(969\) | −10.7155 | + | 0.109045i | −0.344230 | + | 0.00350303i | ||||
\(970\) | −1.20708 | − | 2.64314i | −0.0387570 | − | 0.0848660i | ||||
\(971\) | 50.5655 | + | 14.8474i | 1.62272 | + | 0.476474i | 0.961749 | − | 0.273934i | \(-0.0883249\pi\) |
0.660975 | + | 0.750408i | \(0.270143\pi\) | |||||||
\(972\) | 13.8321 | − | 7.18846i | 0.443664 | − | 0.230570i | ||||
\(973\) | 0.718127 | + | 0.622261i | 0.0230221 | + | 0.0199488i | ||||
\(974\) | −21.0841 | − | 3.03144i | −0.675580 | − | 0.0971337i | ||||
\(975\) | −33.3331 | + | 5.13931i | −1.06751 | + | 0.164590i | ||||
\(976\) | 6.27102 | − | 5.43387i | 0.200730 | − | 0.173934i | ||||
\(977\) | −16.8893 | + | 10.8541i | −0.540335 | + | 0.347252i | −0.782170 | − | 0.623065i | \(-0.785887\pi\) |
0.241835 | + | 0.970317i | \(0.422251\pi\) | |||||||
\(978\) | −9.25424 | − | 19.7301i | −0.295918 | − | 0.630900i | ||||
\(979\) | −37.9867 | − | 43.8390i | −1.21406 | − | 1.40110i | ||||
\(980\) | 0.959405 | − | 0.281707i | 0.0306471 | − | 0.00899879i | ||||
\(981\) | −38.9577 | − | 16.8419i | −1.24382 | − | 0.537719i | ||||
\(982\) | −20.7061 | + | 23.8962i | −0.660760 | + | 0.762557i | ||||
\(983\) | 8.33807 | − | 18.2578i | 0.265943 | − | 0.582334i | −0.728801 | − | 0.684726i | \(-0.759922\pi\) |
0.994744 | + | 0.102391i | \(0.0326493\pi\) | |||||||
\(984\) | −12.3649 | − | 5.49549i | −0.394179 | − | 0.175190i | ||||
\(985\) | 7.68156 | − | 3.50805i | 0.244755 | − | 0.111776i | ||||
\(986\) | 1.11844 | + | 7.77889i | 0.0356182 | + | 0.247730i | ||||
\(987\) | −3.84291 | − | 3.26203i | −0.122321 | − | 0.103832i | ||||
\(988\) | 38.7425i | 1.23256i | ||||||||
\(989\) | 20.4473 | − | 21.7989i | 0.650185 | − | 0.693165i | ||||
\(990\) | −3.38850 | + | 12.4739i | −0.107694 | + | 0.396446i | ||||
\(991\) | 26.1360 | + | 16.7966i | 0.830237 | + | 0.533561i | 0.885353 | − | 0.464919i | \(-0.153916\pi\) |
−0.0551159 | + | 0.998480i | \(0.517553\pi\) | |||||||
\(992\) | −3.72483 | + | 0.535549i | −0.118263 | + | 0.0170037i | ||||
\(993\) | 15.5548 | + | 51.0473i | 0.493617 | + | 1.61994i | ||||
\(994\) | 2.93248 | − | 9.98711i | 0.0930126 | − | 0.316772i | ||||
\(995\) | −5.94983 | − | 2.71720i | −0.188622 | − | 0.0861409i | ||||
\(996\) | 2.74698 | − | 2.42965i | 0.0870413 | − | 0.0769864i | ||||
\(997\) | 1.68338 | − | 11.7082i | 0.0533133 | − | 0.370802i | −0.945646 | − | 0.325197i | \(-0.894569\pi\) |
0.998960 | − | 0.0456050i | \(-0.0145216\pi\) | |||||||
\(998\) | −1.13394 | − | 3.86184i | −0.0358942 | − | 0.122244i | ||||
\(999\) | 24.3432 | − | 7.96258i | 0.770184 | − | 0.251925i |
(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 | 966.2.r.a.113.6 | ✓ | 240 | |
3.2 | odd | 2 | 966.2.r.b.113.20 | yes | 240 | ||
23.11 | odd | 22 | 966.2.r.b.701.20 | yes | 240 | ||
69.11 | even | 22 | inner | 966.2.r.a.701.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.r.a.113.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
966.2.r.a.701.6 | yes | 240 | 69.11 | even | 22 | inner | |
966.2.r.b.113.20 | yes | 240 | 3.2 | odd | 2 | ||
966.2.r.b.701.20 | yes | 240 | 23.11 | odd | 22 |