Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
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([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (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: | \(7.71354883526\) |
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: | \( x^{20} - 9 x^{19} + 42 x^{18} - 126 x^{17} + 277 x^{16} - 538 x^{15} + 1046 x^{14} - 1170 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Root | \(2.33806 - 1.50258i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.169 |
Dual form | 966.2.q.e.463.1 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 | ||||
\(5\) | −1.18479 | − | 1.36732i | −0.529854 | − | 0.611484i | 0.426217 | − | 0.904621i | \(-0.359846\pi\) |
−0.956070 | + | 0.293137i | \(0.905301\pi\) | |||||||
\(6\) | 0.959493 | − | 0.281733i | 0.391711 | − | 0.115017i | ||||
\(7\) | 0.841254 | + | 0.540641i | 0.317964 | + | 0.204343i | ||||
\(8\) | −0.415415 | + | 0.909632i | −0.146871 | + | 0.321603i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | −1.52202 | + | 0.978140i | −0.481303 | + | 0.309315i | ||||
\(11\) | 0.294035 | + | 2.04506i | 0.0886549 | + | 0.616608i | 0.984910 | + | 0.173069i | \(0.0553683\pi\) |
−0.896255 | + | 0.443539i | \(0.853723\pi\) | |||||||
\(12\) | −0.142315 | − | 0.989821i | −0.0410828 | − | 0.285737i | ||||
\(13\) | 4.53425 | − | 2.91398i | 1.25757 | − | 0.808193i | 0.269623 | − | 0.962966i | \(-0.413101\pi\) |
0.987950 | + | 0.154772i | \(0.0494644\pi\) | |||||||
\(14\) | 0.654861 | − | 0.755750i | 0.175019 | − | 0.201983i | ||||
\(15\) | 0.751578 | − | 1.64573i | 0.194057 | − | 0.424925i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 0.123350 | − | 0.0362190i | 0.0299169 | − | 0.00878439i | −0.266740 | − | 0.963769i | \(-0.585946\pi\) |
0.296657 | + | 0.954984i | \(0.404128\pi\) | |||||||
\(18\) | 0.654861 | + | 0.755750i | 0.154352 | + | 0.178132i | ||||
\(19\) | 2.21858 | + | 0.651433i | 0.508976 | + | 0.149449i | 0.526130 | − | 0.850404i | \(-0.323642\pi\) |
−0.0171540 | + | 0.999853i | \(0.505461\pi\) | |||||||
\(20\) | 0.751578 | + | 1.64573i | 0.168058 | + | 0.367996i | ||||
\(21\) | −0.142315 | + | 0.989821i | −0.0310556 | + | 0.215997i | ||||
\(22\) | 2.06609 | 0.440492 | ||||||||
\(23\) | −3.43390 | + | 3.34789i | −0.716017 | + | 0.698083i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.245737 | − | 1.70914i | 0.0491474 | − | 0.341827i | ||||
\(26\) | −2.23903 | − | 4.90280i | −0.439110 | − | 0.961518i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | −0.654861 | − | 0.755750i | −0.123757 | − | 0.142823i | ||||
\(29\) | 9.94663 | − | 2.92059i | 1.84704 | − | 0.542340i | 0.847102 | − | 0.531431i | \(-0.178346\pi\) |
0.999940 | − | 0.0109094i | \(-0.00347263\pi\) | |||||||
\(30\) | −1.52202 | − | 0.978140i | −0.277881 | − | 0.178583i | ||||
\(31\) | 2.42664 | − | 5.31359i | 0.435837 | − | 0.954349i | −0.556507 | − | 0.830843i | \(-0.687859\pi\) |
0.992344 | − | 0.123506i | \(-0.0394139\pi\) | |||||||
\(32\) | 0.654861 | − | 0.755750i | 0.115764 | − | 0.133599i | ||||
\(33\) | −1.73810 | + | 1.11701i | −0.302565 | + | 0.194447i | ||||
\(34\) | −0.0182957 | − | 0.127249i | −0.00313769 | − | 0.0218231i | ||||
\(35\) | −0.257479 | − | 1.79081i | −0.0435219 | − | 0.302702i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | 4.33411 | − | 5.00183i | 0.712524 | − | 0.822296i | −0.277863 | − | 0.960621i | \(-0.589626\pi\) |
0.990387 | + | 0.138324i | \(0.0441716\pi\) | |||||||
\(38\) | 0.960539 | − | 2.10329i | 0.155820 | − | 0.341198i | ||||
\(39\) | 4.53425 | + | 2.91398i | 0.726060 | + | 0.466611i | ||||
\(40\) | 1.73594 | − | 0.509717i | 0.274476 | − | 0.0805933i | ||||
\(41\) | 4.31152 | + | 4.97576i | 0.673347 | + | 0.777083i | 0.984896 | − | 0.173147i | \(-0.0553934\pi\) |
−0.311550 | + | 0.950230i | \(0.600848\pi\) | |||||||
\(42\) | 0.959493 | + | 0.281733i | 0.148053 | + | 0.0434723i | ||||
\(43\) | −3.36354 | − | 7.36513i | −0.512935 | − | 1.12317i | −0.972046 | − | 0.234792i | \(-0.924559\pi\) |
0.459110 | − | 0.888379i | \(-0.348168\pi\) | |||||||
\(44\) | 0.294035 | − | 2.04506i | 0.0443274 | − | 0.308304i | ||||
\(45\) | 1.80922 | 0.269703 | ||||||||
\(46\) | 2.82512 | + | 3.87540i | 0.416541 | + | 0.571396i | ||||
\(47\) | −3.45576 | −0.504075 | −0.252038 | − | 0.967717i | \(-0.581101\pi\) | ||||
−0.252038 | + | 0.967717i | \(0.581101\pi\) | |||||||
\(48\) | −0.142315 | + | 0.989821i | −0.0205414 | + | 0.142868i | ||||
\(49\) | 0.415415 | + | 0.909632i | 0.0593450 | + | 0.129947i | ||||
\(50\) | −1.65677 | − | 0.486471i | −0.234302 | − | 0.0687974i | ||||
\(51\) | 0.0841876 | + | 0.0971576i | 0.0117886 | + | 0.0136048i | ||||
\(52\) | −5.17154 | + | 1.51850i | −0.717164 | + | 0.210578i | ||||
\(53\) | 3.47673 | + | 2.23436i | 0.477566 | + | 0.306913i | 0.757188 | − | 0.653197i | \(-0.226573\pi\) |
−0.279622 | + | 0.960110i | \(0.590209\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | 2.44788 | − | 2.82500i | 0.330072 | − | 0.380923i | ||||
\(56\) | −0.841254 | + | 0.540641i | −0.112417 | + | 0.0722462i | ||||
\(57\) | 0.329066 | + | 2.28870i | 0.0435858 | + | 0.303146i | ||||
\(58\) | −1.47531 | − | 10.2610i | −0.193718 | − | 1.34734i | ||||
\(59\) | −4.12860 | + | 2.65329i | −0.537498 | + | 0.345429i | −0.781060 | − | 0.624456i | \(-0.785321\pi\) |
0.243561 | + | 0.969885i | \(0.421684\pi\) | |||||||
\(60\) | −1.18479 | + | 1.36732i | −0.152956 | + | 0.176520i | ||||
\(61\) | 3.97146 | − | 8.69629i | 0.508494 | − | 1.11345i | −0.465121 | − | 0.885247i | \(-0.653989\pi\) |
0.973615 | − | 0.228199i | \(-0.0732836\pi\) | |||||||
\(62\) | −4.91416 | − | 3.15814i | −0.624099 | − | 0.401084i | ||||
\(63\) | −0.959493 | + | 0.281733i | −0.120885 | + | 0.0354950i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | −9.35647 | − | 2.74731i | −1.16053 | − | 0.340762i | ||||
\(66\) | 0.858284 | + | 1.87938i | 0.105647 | + | 0.231336i | ||||
\(67\) | −1.21827 | + | 8.47327i | −0.148836 | + | 1.03517i | 0.769294 | + | 0.638895i | \(0.220608\pi\) |
−0.918130 | + | 0.396280i | \(0.870301\pi\) | |||||||
\(68\) | −0.128558 | −0.0155899 | ||||||||
\(69\) | −4.47184 | − | 1.73282i | −0.538346 | − | 0.208607i | ||||
\(70\) | −1.80922 | −0.216243 | ||||||||
\(71\) | 0.419758 | − | 2.91948i | 0.0498161 | − | 0.346479i | −0.949635 | − | 0.313357i | \(-0.898546\pi\) |
0.999451 | − | 0.0331211i | \(-0.0105447\pi\) | |||||||
\(72\) | −0.415415 | − | 0.909632i | −0.0489571 | − | 0.107201i | ||||
\(73\) | 11.4515 | + | 3.36247i | 1.34030 | + | 0.393547i | 0.871776 | − | 0.489904i | \(-0.162968\pi\) |
0.468523 | + | 0.883451i | \(0.344786\pi\) | |||||||
\(74\) | −4.33411 | − | 5.00183i | −0.503830 | − | 0.581451i | ||||
\(75\) | 1.65677 | − | 0.486471i | 0.191307 | − | 0.0561729i | ||||
\(76\) | −1.94518 | − | 1.25009i | −0.223127 | − | 0.143395i | ||||
\(77\) | −0.858284 | + | 1.87938i | −0.0978106 | + | 0.214175i | ||||
\(78\) | 3.52961 | − | 4.07339i | 0.399650 | − | 0.461221i | ||||
\(79\) | −1.66985 | + | 1.07315i | −0.187872 | + | 0.120738i | −0.631196 | − | 0.775623i | \(-0.717436\pi\) |
0.443324 | + | 0.896362i | \(0.353799\pi\) | |||||||
\(80\) | −0.257479 | − | 1.79081i | −0.0287871 | − | 0.200218i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 5.53871 | − | 3.55951i | 0.611648 | − | 0.393082i | ||||
\(83\) | 4.11967 | − | 4.75436i | 0.452193 | − | 0.521858i | −0.483180 | − | 0.875521i | \(-0.660518\pi\) |
0.935373 | + | 0.353663i | \(0.115064\pi\) | |||||||
\(84\) | 0.415415 | − | 0.909632i | 0.0453255 | − | 0.0992490i | ||||
\(85\) | −0.195667 | − | 0.125748i | −0.0212231 | − | 0.0136392i | ||||
\(86\) | −7.76884 | + | 2.28114i | −0.837736 | + | 0.245981i | ||||
\(87\) | 6.78864 | + | 7.83451i | 0.727819 | + | 0.839948i | ||||
\(88\) | −1.98240 | − | 0.582084i | −0.211324 | − | 0.0620504i | ||||
\(89\) | 5.19257 | + | 11.3701i | 0.550411 | + | 1.20523i | 0.956589 | + | 0.291439i | \(0.0941339\pi\) |
−0.406178 | + | 0.913794i | \(0.633139\pi\) | |||||||
\(90\) | 0.257479 | − | 1.79081i | 0.0271407 | − | 0.188768i | ||||
\(91\) | 5.38987 | 0.565012 | ||||||||
\(92\) | 4.23801 | − | 2.24484i | 0.441843 | − | 0.234040i | ||||
\(93\) | 5.84147 | 0.605732 | ||||||||
\(94\) | −0.491807 | + | 3.42059i | −0.0507260 | + | 0.352807i | ||||
\(95\) | −1.73783 | − | 3.80531i | −0.178297 | − | 0.390417i | ||||
\(96\) | 0.959493 | + | 0.281733i | 0.0979278 | + | 0.0287542i | ||||
\(97\) | −0.372464 | − | 0.429846i | −0.0378179 | − | 0.0436442i | 0.736525 | − | 0.676410i | \(-0.236465\pi\) |
−0.774343 | + | 0.632766i | \(0.781920\pi\) | |||||||
\(98\) | 0.959493 | − | 0.281733i | 0.0969234 | − | 0.0284593i | ||||
\(99\) | −1.73810 | − | 1.11701i | −0.174686 | − | 0.112264i | ||||
\(100\) | −0.717302 | + | 1.57067i | −0.0717302 | + | 0.157067i | ||||
\(101\) | 3.00135 | − | 3.46374i | 0.298645 | − | 0.344655i | −0.586517 | − | 0.809937i | \(-0.699501\pi\) |
0.885163 | + | 0.465281i | \(0.154047\pi\) | |||||||
\(102\) | 0.108150 | − | 0.0695037i | 0.0107084 | − | 0.00688189i | ||||
\(103\) | 1.68723 | + | 11.7349i | 0.166247 | + | 1.15628i | 0.886556 | + | 0.462622i | \(0.153091\pi\) |
−0.720309 | + | 0.693654i | \(0.756000\pi\) | |||||||
\(104\) | 0.767058 | + | 5.33501i | 0.0752163 | + | 0.523141i | ||||
\(105\) | 1.52202 | − | 0.978140i | 0.148533 | − | 0.0954567i | ||||
\(106\) | 2.70641 | − | 3.12336i | 0.262870 | − | 0.303368i | ||||
\(107\) | −1.76283 | + | 3.86007i | −0.170420 | + | 0.373167i | −0.975500 | − | 0.219999i | \(-0.929395\pi\) |
0.805081 | + | 0.593165i | \(0.202122\pi\) | |||||||
\(108\) | 0.841254 | + | 0.540641i | 0.0809497 | + | 0.0520232i | ||||
\(109\) | −12.4296 | + | 3.64965i | −1.19054 | + | 0.349573i | −0.816228 | − | 0.577730i | \(-0.803939\pi\) |
−0.374310 | + | 0.927304i | \(0.622120\pi\) | |||||||
\(110\) | −2.44788 | − | 2.82500i | −0.233396 | − | 0.269353i | ||||
\(111\) | 6.35028 | + | 1.86461i | 0.602742 | + | 0.176981i | ||||
\(112\) | 0.415415 | + | 0.909632i | 0.0392530 | + | 0.0859521i | ||||
\(113\) | 0.0983203 | − | 0.683833i | 0.00924920 | − | 0.0643296i | −0.984674 | − | 0.174404i | \(-0.944200\pi\) |
0.993923 | + | 0.110075i | \(0.0351091\pi\) | |||||||
\(114\) | 2.31224 | 0.216561 | ||||||||
\(115\) | 8.64608 | + | 0.728691i | 0.806251 | + | 0.0679508i | ||||
\(116\) | −10.3665 | −0.962509 | ||||||||
\(117\) | −0.767058 | + | 5.33501i | −0.0709146 | + | 0.493222i | ||||
\(118\) | 2.03872 | + | 4.46418i | 0.187680 | + | 0.410961i | ||||
\(119\) | 0.123350 | + | 0.0362190i | 0.0113075 | + | 0.00332019i | ||||
\(120\) | 1.18479 | + | 1.36732i | 0.108156 | + | 0.124819i | ||||
\(121\) | 6.45862 | − | 1.89642i | 0.587147 | − | 0.172402i | ||||
\(122\) | −8.04258 | − | 5.16865i | −0.728141 | − | 0.467948i | ||||
\(123\) | −2.73504 | + | 5.98890i | −0.246610 | + | 0.540001i | ||||
\(124\) | −3.82535 | + | 4.41469i | −0.343527 | + | 0.396451i | ||||
\(125\) | −10.2382 | + | 6.57966i | −0.915729 | + | 0.588503i | ||||
\(126\) | 0.142315 | + | 0.989821i | 0.0126784 | + | 0.0881803i | ||||
\(127\) | −2.33868 | − | 16.2659i | −0.207524 | − | 1.44336i | −0.781199 | − | 0.624282i | \(-0.785392\pi\) |
0.573675 | − | 0.819083i | \(-0.305517\pi\) | |||||||
\(128\) | −0.841254 | + | 0.540641i | −0.0743570 | + | 0.0477863i | ||||
\(129\) | 5.30229 | − | 6.11917i | 0.466841 | − | 0.538763i | ||||
\(130\) | −4.05091 | + | 8.87025i | −0.355288 | + | 0.777973i | ||||
\(131\) | −7.86210 | − | 5.05266i | −0.686915 | − | 0.441453i | 0.150073 | − | 0.988675i | \(-0.452049\pi\) |
−0.836988 | + | 0.547222i | \(0.815685\pi\) | |||||||
\(132\) | 1.98240 | − | 0.582084i | 0.172546 | − | 0.0506639i | ||||
\(133\) | 1.51419 | + | 1.74747i | 0.131297 | + | 0.151525i | ||||
\(134\) | 8.21364 | + | 2.41174i | 0.709551 | + | 0.208343i | ||||
\(135\) | 0.751578 | + | 1.64573i | 0.0646856 | + | 0.141642i | ||||
\(136\) | −0.0182957 | + | 0.127249i | −0.00156884 | + | 0.0109115i | ||||
\(137\) | −22.1289 | −1.89060 | −0.945301 | − | 0.326200i | \(-0.894232\pi\) | ||||
−0.945301 | + | 0.326200i | \(0.894232\pi\) | |||||||
\(138\) | −2.35159 | + | 4.17972i | −0.200181 | + | 0.355801i | ||||
\(139\) | −16.1409 | −1.36905 | −0.684526 | − | 0.728989i | \(-0.739991\pi\) | ||||
−0.684526 | + | 0.728989i | \(0.739991\pi\) | |||||||
\(140\) | −0.257479 | + | 1.79081i | −0.0217610 | + | 0.151351i | ||||
\(141\) | −1.43558 | − | 3.14347i | −0.120897 | − | 0.264728i | ||||
\(142\) | −2.83003 | − | 0.830971i | −0.237491 | − | 0.0697335i | ||||
\(143\) | 7.29249 | + | 8.41599i | 0.609829 | + | 0.703780i | ||||
\(144\) | −0.959493 | + | 0.281733i | −0.0799577 | + | 0.0234777i | ||||
\(145\) | −15.7780 | − | 10.1399i | −1.31029 | − | 0.842075i | ||||
\(146\) | 4.95797 | − | 10.8564i | 0.410324 | − | 0.898485i | ||||
\(147\) | −0.654861 | + | 0.755750i | −0.0540120 | + | 0.0623332i | ||||
\(148\) | −5.56773 | + | 3.57816i | −0.457665 | + | 0.294123i | ||||
\(149\) | −1.97387 | − | 13.7286i | −0.161706 | − | 1.12469i | −0.895418 | − | 0.445227i | \(-0.853123\pi\) |
0.733712 | − | 0.679460i | \(-0.237786\pi\) | |||||||
\(150\) | −0.245737 | − | 1.70914i | −0.0200643 | − | 0.139550i | ||||
\(151\) | −14.2980 | + | 9.18877i | −1.16356 | + | 0.747772i | −0.972293 | − | 0.233767i | \(-0.924895\pi\) |
−0.191263 | + | 0.981539i | \(0.561258\pi\) | |||||||
\(152\) | −1.51419 | + | 1.74747i | −0.122817 | + | 0.141739i | ||||
\(153\) | −0.0534049 | + | 0.116940i | −0.00431753 | + | 0.00945408i | ||||
\(154\) | 1.73810 | + | 1.11701i | 0.140060 | + | 0.0900114i | ||||
\(155\) | −10.1404 | + | 2.97750i | −0.814499 | + | 0.239158i | ||||
\(156\) | −3.52961 | − | 4.07339i | −0.282595 | − | 0.326132i | ||||
\(157\) | 12.1539 | + | 3.56870i | 0.969986 | + | 0.284814i | 0.728085 | − | 0.685487i | \(-0.240411\pi\) |
0.241901 | + | 0.970301i | \(0.422229\pi\) | |||||||
\(158\) | 0.824578 | + | 1.80557i | 0.0655999 | + | 0.143644i | ||||
\(159\) | −0.588159 | + | 4.09074i | −0.0466441 | + | 0.324417i | ||||
\(160\) | −1.80922 | −0.143032 | ||||||||
\(161\) | −4.69878 | + | 0.959919i | −0.370316 | + | 0.0756522i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −2.15142 | + | 14.9634i | −0.168512 | + | 1.17203i | 0.713450 | + | 0.700706i | \(0.247132\pi\) |
−0.881962 | + | 0.471321i | \(0.843778\pi\) | |||||||
\(164\) | −2.73504 | − | 5.98890i | −0.213571 | − | 0.467655i | ||||
\(165\) | 3.58660 | + | 1.05312i | 0.279216 | + | 0.0819853i | ||||
\(166\) | −4.11967 | − | 4.75436i | −0.319749 | − | 0.369010i | ||||
\(167\) | 1.28053 | − | 0.375998i | 0.0990906 | − | 0.0290956i | −0.231811 | − | 0.972761i | \(-0.574465\pi\) |
0.330902 | + | 0.943665i | \(0.392647\pi\) | |||||||
\(168\) | −0.841254 | − | 0.540641i | −0.0649041 | − | 0.0417113i | ||||
\(169\) | 6.66770 | − | 14.6002i | 0.512900 | − | 1.12309i | ||||
\(170\) | −0.152314 | + | 0.175780i | −0.0116820 | + | 0.0134817i | ||||
\(171\) | −1.94518 | + | 1.25009i | −0.148752 | + | 0.0955968i | ||||
\(172\) | 1.15230 | + | 8.01441i | 0.0878619 | + | 0.611093i | ||||
\(173\) | 2.32587 | + | 16.1768i | 0.176833 | + | 1.22990i | 0.864035 | + | 0.503433i | \(0.167930\pi\) |
−0.687202 | + | 0.726467i | \(0.741161\pi\) | |||||||
\(174\) | 8.72089 | − | 5.60458i | 0.661129 | − | 0.424882i | ||||
\(175\) | 1.13076 | − | 1.30496i | 0.0854771 | − | 0.0986459i | ||||
\(176\) | −0.858284 | + | 1.87938i | −0.0646956 | + | 0.141664i | ||||
\(177\) | −4.12860 | − | 2.65329i | −0.310325 | − | 0.199434i | ||||
\(178\) | 11.9934 | − | 3.52158i | 0.898943 | − | 0.263953i | ||||
\(179\) | −4.21335 | − | 4.86247i | −0.314921 | − | 0.363438i | 0.576117 | − | 0.817367i | \(-0.304567\pi\) |
−0.891038 | + | 0.453929i | \(0.850022\pi\) | |||||||
\(180\) | −1.73594 | − | 0.509717i | −0.129389 | − | 0.0379921i | ||||
\(181\) | 7.33807 | + | 16.0681i | 0.545434 | + | 1.19433i | 0.958882 | + | 0.283806i | \(0.0915972\pi\) |
−0.413448 | + | 0.910528i | \(0.635675\pi\) | |||||||
\(182\) | 0.767058 | − | 5.33501i | 0.0568581 | − | 0.395457i | ||||
\(183\) | 9.56023 | 0.706713 | ||||||||
\(184\) | −1.61885 | − | 4.51434i | −0.119344 | − | 0.332802i | ||||
\(185\) | −11.9741 | −0.880354 | ||||||||
\(186\) | 0.831328 | − | 5.78201i | 0.0609559 | − | 0.423958i | ||||
\(187\) | 0.110339 | + | 0.241609i | 0.00806881 | + | 0.0176682i | ||||
\(188\) | 3.31578 | + | 0.973601i | 0.241828 | + | 0.0710072i | ||||
\(189\) | −0.654861 | − | 0.755750i | −0.0476341 | − | 0.0549727i | ||||
\(190\) | −4.01390 | + | 1.17859i | −0.291199 | + | 0.0855037i | ||||
\(191\) | −4.12348 | − | 2.65000i | −0.298365 | − | 0.191747i | 0.382890 | − | 0.923794i | \(-0.374929\pi\) |
−0.681254 | + | 0.732047i | \(0.738565\pi\) | |||||||
\(192\) | 0.415415 | − | 0.909632i | 0.0299800 | − | 0.0656470i | ||||
\(193\) | 6.11262 | − | 7.05434i | 0.439996 | − | 0.507783i | −0.491828 | − | 0.870692i | \(-0.663671\pi\) |
0.931824 | + | 0.362910i | \(0.118217\pi\) | |||||||
\(194\) | −0.478478 | + | 0.307499i | −0.0343527 | + | 0.0220771i | ||||
\(195\) | −1.38778 | − | 9.65222i | −0.0993809 | − | 0.691210i | ||||
\(196\) | −0.142315 | − | 0.989821i | −0.0101653 | − | 0.0707015i | ||||
\(197\) | −18.5481 | + | 11.9201i | −1.32150 | + | 0.849275i | −0.995376 | − | 0.0960522i | \(-0.969378\pi\) |
−0.326122 | + | 0.945328i | \(0.605742\pi\) | |||||||
\(198\) | −1.35300 | + | 1.56145i | −0.0961535 | + | 0.110967i | ||||
\(199\) | −9.57124 | + | 20.9581i | −0.678488 | + | 1.48568i | 0.185750 | + | 0.982597i | \(0.440528\pi\) |
−0.864238 | + | 0.503083i | \(0.832199\pi\) | |||||||
\(200\) | 1.45260 | + | 0.933531i | 0.102715 | + | 0.0660106i | ||||
\(201\) | −8.21364 | + | 2.41174i | −0.579346 | + | 0.170111i | ||||
\(202\) | −3.00135 | − | 3.46374i | −0.211174 | − | 0.243708i | ||||
\(203\) | 9.94663 | + | 2.92059i | 0.698116 | + | 0.204985i | ||||
\(204\) | −0.0534049 | − | 0.116940i | −0.00373909 | − | 0.00818747i | ||||
\(205\) | 1.69521 | − | 11.7905i | 0.118399 | − | 0.823481i | ||||
\(206\) | 11.8556 | 0.826018 | ||||||||
\(207\) | −0.281442 | − | 4.78757i | −0.0195615 | − | 0.332759i | ||||
\(208\) | 5.38987 | 0.373720 | ||||||||
\(209\) | −0.679879 | + | 4.72866i | −0.0470282 | + | 0.327088i | ||||
\(210\) | −0.751578 | − | 1.64573i | −0.0518638 | − | 0.113566i | ||||
\(211\) | 4.46823 | + | 1.31199i | 0.307606 | + | 0.0903212i | 0.431892 | − | 0.901925i | \(-0.357846\pi\) |
−0.124287 | + | 0.992246i | \(0.539664\pi\) | |||||||
\(212\) | −2.70641 | − | 3.12336i | −0.185877 | − | 0.214514i | ||||
\(213\) | 2.83003 | − | 0.830971i | 0.193910 | − | 0.0569372i | ||||
\(214\) | 3.56990 | + | 2.29424i | 0.244033 | + | 0.156831i | ||||
\(215\) | −6.08540 | + | 13.3252i | −0.415021 | + | 0.908768i | ||||
\(216\) | 0.654861 | − | 0.755750i | 0.0445576 | − | 0.0514222i | ||||
\(217\) | 4.91416 | − | 3.15814i | 0.333595 | − | 0.214388i | ||||
\(218\) | 1.84359 | + | 12.8225i | 0.124864 | + | 0.868447i | ||||
\(219\) | 1.69852 | + | 11.8135i | 0.114776 | + | 0.798282i | ||||
\(220\) | −3.14462 | + | 2.02092i | −0.212010 | + | 0.136251i | ||||
\(221\) | 0.453760 | − | 0.523667i | 0.0305232 | − | 0.0352256i | ||||
\(222\) | 2.74937 | − | 6.02029i | 0.184526 | − | 0.404055i | ||||
\(223\) | 19.2297 | + | 12.3582i | 1.28772 | + | 0.827567i | 0.991819 | − | 0.127653i | \(-0.0407442\pi\) |
0.295900 | + | 0.955219i | \(0.404381\pi\) | |||||||
\(224\) | 0.959493 | − | 0.281733i | 0.0641088 | − | 0.0188240i | ||||
\(225\) | 1.13076 | + | 1.30496i | 0.0753838 | + | 0.0869975i | ||||
\(226\) | −0.662880 | − | 0.194639i | −0.0440941 | − | 0.0129472i | ||||
\(227\) | −4.45679 | − | 9.75902i | −0.295808 | − | 0.647729i | 0.702121 | − | 0.712058i | \(-0.252237\pi\) |
−0.997929 | + | 0.0643289i | \(0.979509\pi\) | |||||||
\(228\) | 0.329066 | − | 2.28870i | 0.0217929 | − | 0.151573i | ||||
\(229\) | 12.8645 | 0.850107 | 0.425054 | − | 0.905168i | \(-0.360255\pi\) | ||||
0.425054 | + | 0.905168i | \(0.360255\pi\) | |||||||
\(230\) | 1.95174 | − | 8.45437i | 0.128694 | − | 0.557464i | ||||
\(231\) | −2.06609 | −0.135939 | ||||||||
\(232\) | −1.47531 | + | 10.2610i | −0.0968590 | + | 0.673669i | ||||
\(233\) | −8.87064 | − | 19.4240i | −0.581135 | − | 1.27251i | −0.940653 | − | 0.339369i | \(-0.889786\pi\) |
0.359519 | − | 0.933138i | \(-0.382941\pi\) | |||||||
\(234\) | 5.17154 | + | 1.51850i | 0.338074 | + | 0.0992676i | ||||
\(235\) | 4.09435 | + | 4.72513i | 0.267086 | + | 0.308234i | ||||
\(236\) | 4.70888 | − | 1.38265i | 0.306522 | − | 0.0900030i | ||||
\(237\) | −1.66985 | − | 1.07315i | −0.108468 | − | 0.0697083i | ||||
\(238\) | 0.0534049 | − | 0.116940i | 0.00346173 | − | 0.00758012i | ||||
\(239\) | 14.9441 | − | 17.2464i | 0.966653 | − | 1.11558i | −0.0266038 | − | 0.999646i | \(-0.508469\pi\) |
0.993257 | − | 0.115931i | \(-0.0369853\pi\) | |||||||
\(240\) | 1.52202 | − | 0.978140i | 0.0982457 | − | 0.0631386i | ||||
\(241\) | −1.26863 | − | 8.82348i | −0.0817193 | − | 0.568370i | −0.989008 | − | 0.147862i | \(-0.952761\pi\) |
0.907289 | − | 0.420508i | \(-0.138148\pi\) | |||||||
\(242\) | −0.957961 | − | 6.66276i | −0.0615801 | − | 0.428299i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | −6.26062 | + | 7.22514i | −0.400795 | + | 0.462542i | ||||
\(245\) | 0.751578 | − | 1.64573i | 0.0480166 | − | 0.105142i | ||||
\(246\) | 5.53871 | + | 3.55951i | 0.353135 | + | 0.226946i | ||||
\(247\) | 11.9578 | − | 3.51114i | 0.760859 | − | 0.223408i | ||||
\(248\) | 3.82535 | + | 4.41469i | 0.242910 | + | 0.280333i | ||||
\(249\) | 6.03609 | + | 1.77236i | 0.382522 | + | 0.112318i | ||||
\(250\) | 5.05565 | + | 11.0703i | 0.319747 | + | 0.700149i | ||||
\(251\) | −1.78358 | + | 12.4050i | −0.112578 | + | 0.783000i | 0.852817 | + | 0.522210i | \(0.174892\pi\) |
−0.965396 | + | 0.260790i | \(0.916017\pi\) | |||||||
\(252\) | 1.00000 | 0.0629941 | ||||||||
\(253\) | −7.85631 | − | 6.03812i | −0.493922 | − | 0.379613i | ||||
\(254\) | −16.4332 | −1.03111 | ||||||||
\(255\) | 0.0331010 | − | 0.230223i | 0.00207287 | − | 0.0144171i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −11.7141 | − | 3.43956i | −0.730704 | − | 0.214554i | −0.104843 | − | 0.994489i | \(-0.533434\pi\) |
−0.625861 | + | 0.779935i | \(0.715252\pi\) | |||||||
\(258\) | −5.30229 | − | 6.11917i | −0.330106 | − | 0.380963i | ||||
\(259\) | 6.35028 | − | 1.86461i | 0.394587 | − | 0.115861i | ||||
\(260\) | 8.20346 | + | 5.27204i | 0.508757 | + | 0.326958i | ||||
\(261\) | −4.30642 | + | 9.42974i | −0.266561 | + | 0.583686i | ||||
\(262\) | −6.12013 | + | 7.06300i | −0.378103 | + | 0.436354i | ||||
\(263\) | −5.49409 | + | 3.53084i | −0.338780 | + | 0.217721i | −0.698958 | − | 0.715163i | \(-0.746352\pi\) |
0.360178 | + | 0.932884i | \(0.382716\pi\) | |||||||
\(264\) | −0.294035 | − | 2.04506i | −0.0180966 | − | 0.125865i | ||||
\(265\) | −1.06411 | − | 7.40105i | −0.0653678 | − | 0.454643i | ||||
\(266\) | 1.94518 | − | 1.25009i | 0.119267 | − | 0.0766480i | ||||
\(267\) | −8.18557 | + | 9.44666i | −0.500949 | + | 0.578126i | ||||
\(268\) | 3.55612 | − | 7.78681i | 0.217225 | − | 0.475655i | ||||
\(269\) | 18.3984 | + | 11.8239i | 1.12177 | + | 0.720918i | 0.963827 | − | 0.266530i | \(-0.0858772\pi\) |
0.157944 | + | 0.987448i | \(0.449514\pi\) | |||||||
\(270\) | 1.73594 | − | 0.509717i | 0.105646 | − | 0.0310204i | ||||
\(271\) | −0.124856 | − | 0.144092i | −0.00758446 | − | 0.00875294i | 0.751945 | − | 0.659226i | \(-0.229116\pi\) |
−0.759529 | + | 0.650473i | \(0.774571\pi\) | |||||||
\(272\) | 0.123350 | + | 0.0362190i | 0.00747922 | + | 0.00219610i | ||||
\(273\) | 2.23903 | + | 4.90280i | 0.135512 | + | 0.296731i | ||||
\(274\) | −3.14927 | + | 21.9037i | −0.190255 | + | 1.32325i | ||||
\(275\) | 3.56754 | 0.215131 | ||||||||
\(276\) | 3.80251 | + | 2.92249i | 0.228884 | + | 0.175913i | ||||
\(277\) | −22.1850 | −1.33297 | −0.666483 | − | 0.745521i | \(-0.732201\pi\) | ||||
−0.666483 | + | 0.745521i | \(0.732201\pi\) | |||||||
\(278\) | −2.29709 | + | 15.9766i | −0.137770 | + | 0.958212i | ||||
\(279\) | 2.42664 | + | 5.31359i | 0.145279 | + | 0.318116i | ||||
\(280\) | 1.73594 | + | 0.509717i | 0.103742 | + | 0.0304614i | ||||
\(281\) | 2.37547 | + | 2.74144i | 0.141709 | + | 0.163540i | 0.822167 | − | 0.569246i | \(-0.192765\pi\) |
−0.680459 | + | 0.732787i | \(0.738219\pi\) | |||||||
\(282\) | −3.31578 | + | 0.973601i | −0.197452 | + | 0.0579771i | ||||
\(283\) | 6.86802 | + | 4.41381i | 0.408261 | + | 0.262374i | 0.728614 | − | 0.684925i | \(-0.240165\pi\) |
−0.320352 | + | 0.947298i | \(0.603801\pi\) | |||||||
\(284\) | −1.22527 | + | 2.68296i | −0.0727063 | + | 0.159204i | ||||
\(285\) | 2.73951 | − | 3.16157i | 0.162275 | − | 0.187275i | ||||
\(286\) | 9.36815 | − | 6.02055i | 0.553951 | − | 0.356002i | ||||
\(287\) | 0.936983 | + | 6.51686i | 0.0553084 | + | 0.384678i | ||||
\(288\) | 0.142315 | + | 0.989821i | 0.00838598 | + | 0.0583258i | ||||
\(289\) | −14.2874 | + | 9.18196i | −0.840436 | + | 0.540115i | ||||
\(290\) | −12.2822 | + | 14.1744i | −0.721234 | + | 0.832348i | ||||
\(291\) | 0.236275 | − | 0.517369i | 0.0138507 | − | 0.0303287i | ||||
\(292\) | −10.0403 | − | 6.45253i | −0.587566 | − | 0.377606i | ||||
\(293\) | −0.402531 | + | 0.118194i | −0.0235161 | + | 0.00690495i | −0.293469 | − | 0.955968i | \(-0.594810\pi\) |
0.269953 | + | 0.962873i | \(0.412992\pi\) | |||||||
\(294\) | 0.654861 | + | 0.755750i | 0.0381923 | + | 0.0440762i | ||||
\(295\) | 8.51942 | + | 2.50153i | 0.496020 | + | 0.145645i | ||||
\(296\) | 2.74937 | + | 6.02029i | 0.159804 | + | 0.349922i | ||||
\(297\) | 0.294035 | − | 2.04506i | 0.0170616 | − | 0.118666i | ||||
\(298\) | −13.8697 | −0.803452 | ||||||||
\(299\) | −5.81444 | + | 25.1865i | −0.336258 | + | 1.45657i | ||||
\(300\) | −1.72671 | −0.0996918 | ||||||||
\(301\) | 1.15230 | − | 8.01441i | 0.0664173 | − | 0.461943i | ||||
\(302\) | 7.06043 | + | 15.4602i | 0.406282 | + | 0.889633i | ||||
\(303\) | 4.39754 | + | 1.29123i | 0.252632 | + | 0.0741794i | ||||
\(304\) | 1.51419 | + | 1.74747i | 0.0868450 | + | 0.100224i | ||||
\(305\) | −16.5960 | + | 4.87301i | −0.950282 | + | 0.279028i | ||||
\(306\) | 0.108150 | + | 0.0695037i | 0.00618252 | + | 0.00397326i | ||||
\(307\) | 3.17371 | − | 6.94945i | 0.181133 | − | 0.396626i | −0.797185 | − | 0.603735i | \(-0.793678\pi\) |
0.978318 | + | 0.207109i | \(0.0664056\pi\) | |||||||
\(308\) | 1.35300 | − | 1.56145i | 0.0770943 | − | 0.0889716i | ||||
\(309\) | −9.97355 | + | 6.40961i | −0.567376 | + | 0.364630i | ||||
\(310\) | 1.50406 | + | 10.4610i | 0.0854248 | + | 0.594142i | ||||
\(311\) | −2.84242 | − | 19.7695i | −0.161179 | − | 1.12102i | −0.896416 | − | 0.443214i | \(-0.853838\pi\) |
0.735237 | − | 0.677810i | \(-0.237071\pi\) | |||||||
\(312\) | −4.53425 | + | 2.91398i | −0.256701 | + | 0.164972i | ||||
\(313\) | −9.34155 | + | 10.7807i | −0.528016 | + | 0.609363i | −0.955620 | − | 0.294604i | \(-0.904812\pi\) |
0.427604 | + | 0.903966i | \(0.359358\pi\) | |||||||
\(314\) | 5.26206 | − | 11.5223i | 0.296955 | − | 0.650241i | ||||
\(315\) | 1.52202 | + | 0.978140i | 0.0857558 | + | 0.0551119i | ||||
\(316\) | 1.90455 | − | 0.559225i | 0.107139 | − | 0.0314589i | ||||
\(317\) | −8.18540 | − | 9.44646i | −0.459738 | − | 0.530566i | 0.477791 | − | 0.878474i | \(-0.341438\pi\) |
−0.937529 | + | 0.347908i | \(0.886892\pi\) | |||||||
\(318\) | 3.96540 | + | 1.16435i | 0.222368 | + | 0.0652932i | ||||
\(319\) | 8.89744 | + | 19.4827i | 0.498161 | + | 1.09082i | ||||
\(320\) | −0.257479 | + | 1.79081i | −0.0143935 | + | 0.100109i | ||||
\(321\) | −4.24355 | −0.236852 | ||||||||
\(322\) | 0.281442 | + | 4.78757i | 0.0156841 | + | 0.266801i | ||||
\(323\) | 0.297257 | 0.0165398 | ||||||||
\(324\) | −0.142315 | + | 0.989821i | −0.00790638 | + | 0.0549901i | ||||
\(325\) | −3.86617 | − | 8.46572i | −0.214456 | − | 0.469594i | ||||
\(326\) | 14.5050 | + | 4.25904i | 0.803355 | + | 0.235886i | ||||
\(327\) | −8.48328 | − | 9.79022i | −0.469126 | − | 0.541401i | ||||
\(328\) | −6.31718 | + | 1.85489i | −0.348808 | + | 0.102419i | ||||
\(329\) | −2.90717 | − | 1.86833i | −0.160278 | − | 0.103004i | ||||
\(330\) | 1.55283 | − | 3.40022i | 0.0854803 | − | 0.187176i | ||||
\(331\) | 6.56517 | − | 7.57661i | 0.360855 | − | 0.416448i | −0.546071 | − | 0.837739i | \(-0.683877\pi\) |
0.906926 | + | 0.421290i | \(0.138423\pi\) | |||||||
\(332\) | −5.29225 | + | 3.40112i | −0.290450 | + | 0.186661i | ||||
\(333\) | 0.941893 | + | 6.55101i | 0.0516154 | + | 0.358993i | ||||
\(334\) | −0.189932 | − | 1.32101i | −0.0103926 | − | 0.0722824i | ||||
\(335\) | 13.0291 | − | 8.37327i | 0.711853 | − | 0.457480i | ||||
\(336\) | −0.654861 | + | 0.755750i | −0.0357256 | + | 0.0412295i | ||||
\(337\) | 6.85683 | − | 15.0144i | 0.373515 | − | 0.817884i | −0.625767 | − | 0.780010i | \(-0.715214\pi\) |
0.999283 | − | 0.0378743i | \(-0.0120587\pi\) | |||||||
\(338\) | −13.5027 | − | 8.67766i | −0.734450 | − | 0.472002i | ||||
\(339\) | 0.662880 | − | 0.194639i | 0.0360027 | − | 0.0105713i | ||||
\(340\) | 0.152314 | + | 0.175780i | 0.00826039 | + | 0.00953300i | ||||
\(341\) | 11.5801 | + | 3.40023i | 0.627099 | + | 0.184133i | ||||
\(342\) | 0.960539 | + | 2.10329i | 0.0519400 | + | 0.113733i | ||||
\(343\) | −0.142315 | + | 0.989821i | −0.00768428 | + | 0.0534453i | ||||
\(344\) | 8.09682 | 0.436551 | ||||||||
\(345\) | 2.92887 | + | 8.16746i | 0.157685 | + | 0.439721i | ||||
\(346\) | 16.3431 | 0.878613 | ||||||||
\(347\) | −3.81138 | + | 26.5087i | −0.204606 | + | 1.42306i | 0.585788 | + | 0.810464i | \(0.300785\pi\) |
−0.790394 | + | 0.612599i | \(0.790124\pi\) | |||||||
\(348\) | −4.30642 | − | 9.42974i | −0.230848 | − | 0.505487i | ||||
\(349\) | 29.1975 | + | 8.57317i | 1.56291 | + | 0.458911i | 0.944927 | − | 0.327281i | \(-0.106132\pi\) |
0.617982 | + | 0.786193i | \(0.287951\pi\) | |||||||
\(350\) | −1.13076 | − | 1.30496i | −0.0604415 | − | 0.0697532i | ||||
\(351\) | −5.17154 | + | 1.51850i | −0.276036 | + | 0.0810516i | ||||
\(352\) | 1.73810 | + | 1.11701i | 0.0926413 | + | 0.0595369i | ||||
\(353\) | 13.8061 | − | 30.2311i | 0.734825 | − | 1.60904i | −0.0570601 | − | 0.998371i | \(-0.518173\pi\) |
0.791885 | − | 0.610671i | \(-0.209100\pi\) | |||||||
\(354\) | −3.21385 | + | 3.70898i | −0.170814 | + | 0.197130i | ||||
\(355\) | −4.48919 | + | 2.88503i | −0.238261 | + | 0.153121i | ||||
\(356\) | −1.77890 | − | 12.3725i | −0.0942813 | − | 0.655740i | ||||
\(357\) | 0.0182957 | + | 0.127249i | 0.000968312 | + | 0.00673475i | ||||
\(358\) | −5.41260 | + | 3.47846i | −0.286065 | + | 0.183843i | ||||
\(359\) | 8.89583 | − | 10.2663i | 0.469504 | − | 0.541836i | −0.470770 | − | 0.882256i | \(-0.656024\pi\) |
0.940274 | + | 0.340420i | \(0.110569\pi\) | |||||||
\(360\) | −0.751578 | + | 1.64573i | −0.0396117 | + | 0.0867374i | ||||
\(361\) | −11.4861 | − | 7.38167i | −0.604532 | − | 0.388509i | ||||
\(362\) | 16.9489 | − | 4.97664i | 0.890814 | − | 0.261567i | ||||
\(363\) | 4.40805 | + | 5.08716i | 0.231363 | + | 0.267007i | ||||
\(364\) | −5.17154 | − | 1.51850i | −0.271062 | − | 0.0795911i | ||||
\(365\) | −8.97007 | − | 19.6417i | −0.469515 | − | 1.02809i | ||||
\(366\) | 1.36056 | − | 9.46292i | 0.0711178 | − | 0.494635i | ||||
\(367\) | −10.0244 | −0.523271 | −0.261636 | − | 0.965167i | \(-0.584262\pi\) | ||||
−0.261636 | + | 0.965167i | \(0.584262\pi\) | |||||||
\(368\) | −4.69878 | + | 0.959919i | −0.244941 | + | 0.0500392i | ||||
\(369\) | −6.58388 | −0.342743 | ||||||||
\(370\) | −1.70409 | + | 11.8522i | −0.0885916 | + | 0.616168i | ||||
\(371\) | 1.71683 | + | 3.75933i | 0.0891333 | + | 0.195175i | ||||
\(372\) | −5.60485 | − | 1.64573i | −0.290598 | − | 0.0853273i | ||||
\(373\) | 4.95414 | + | 5.71738i | 0.256515 | + | 0.296035i | 0.869371 | − | 0.494161i | \(-0.164525\pi\) |
−0.612855 | + | 0.790195i | \(0.709979\pi\) | |||||||
\(374\) | 0.254853 | − | 0.0748316i | 0.0131781 | − | 0.00386945i | ||||
\(375\) | −10.2382 | − | 6.57966i | −0.528696 | − | 0.339772i | ||||
\(376\) | 1.43558 | − | 3.14347i | 0.0740342 | − | 0.162112i | ||||
\(377\) | 36.5899 | − | 42.2270i | 1.88448 | − | 2.17480i | ||||
\(378\) | −0.841254 | + | 0.540641i | −0.0432694 | + | 0.0278076i | ||||
\(379\) | 4.40274 | + | 30.6217i | 0.226154 | + | 1.57293i | 0.714090 | + | 0.700054i | \(0.246841\pi\) |
−0.487936 | + | 0.872879i | \(0.662250\pi\) | |||||||
\(380\) | 0.595353 | + | 4.14077i | 0.0305410 | + | 0.212417i | ||||
\(381\) | 13.8245 | − | 8.88444i | 0.708248 | − | 0.455163i | ||||
\(382\) | −3.20986 | + | 3.70438i | −0.164231 | + | 0.189532i | ||||
\(383\) | −2.82079 | + | 6.17667i | −0.144136 | + | 0.315613i | −0.967907 | − | 0.251309i | \(-0.919139\pi\) |
0.823771 | + | 0.566923i | \(0.191866\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | 3.58660 | − | 1.05312i | 0.182790 | − | 0.0536720i | ||||
\(386\) | −6.11262 | − | 7.05434i | −0.311124 | − | 0.359057i | ||||
\(387\) | 7.76884 | + | 2.28114i | 0.394913 | + | 0.115957i | ||||
\(388\) | 0.236275 | + | 0.517369i | 0.0119950 | + | 0.0262654i | ||||
\(389\) | −0.0517605 | + | 0.360003i | −0.00262436 | + | 0.0182529i | −0.991092 | − | 0.133182i | \(-0.957480\pi\) |
0.988467 | + | 0.151435i | \(0.0483895\pi\) | |||||||
\(390\) | −9.75147 | −0.493785 | ||||||||
\(391\) | −0.302316 | + | 0.537336i | −0.0152888 | + | 0.0271742i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 1.33003 | − | 9.25057i | 0.0670912 | − | 0.466629i | ||||
\(394\) | 9.15915 | + | 20.0557i | 0.461431 | + | 1.01039i | ||||
\(395\) | 3.44575 | + | 1.01176i | 0.173374 | + | 0.0509073i | ||||
\(396\) | 1.35300 | + | 1.56145i | 0.0679908 | + | 0.0784656i | ||||
\(397\) | −14.5535 | + | 4.27329i | −0.730419 | + | 0.214470i | −0.625736 | − | 0.780035i | \(-0.715201\pi\) |
−0.104683 | + | 0.994506i | \(0.533383\pi\) | |||||||
\(398\) | 19.3826 | + | 12.4565i | 0.971564 | + | 0.624387i | ||||
\(399\) | −0.960539 | + | 2.10329i | −0.0480871 | + | 0.105296i | ||||
\(400\) | 1.13076 | − | 1.30496i | 0.0565378 | − | 0.0652481i | ||||
\(401\) | −21.5394 | + | 13.8426i | −1.07563 | + | 0.691264i | −0.953543 | − | 0.301256i | \(-0.902594\pi\) |
−0.122085 | + | 0.992520i | \(0.538958\pi\) | |||||||
\(402\) | 1.21827 | + | 8.47327i | 0.0607619 | + | 0.422608i | ||||
\(403\) | −4.48075 | − | 31.1643i | −0.223202 | − | 1.55240i | ||||
\(404\) | −3.85562 | + | 2.47786i | −0.191824 | + | 0.123278i | ||||
\(405\) | −1.18479 | + | 1.36732i | −0.0588726 | + | 0.0679426i | ||||
\(406\) | 4.30642 | − | 9.42974i | 0.213724 | − | 0.467990i | ||||
\(407\) | 11.5034 | + | 7.39280i | 0.570204 | + | 0.366448i | ||||
\(408\) | −0.123350 | + | 0.0362190i | −0.00610676 | + | 0.00179311i | ||||
\(409\) | −24.1119 | − | 27.8266i | −1.19226 | − | 1.37594i | −0.908948 | − | 0.416909i | \(-0.863114\pi\) |
−0.283308 | − | 0.959029i | \(-0.591432\pi\) | |||||||
\(410\) | −11.4292 | − | 3.35591i | −0.564447 | − | 0.165737i | ||||
\(411\) | −9.19269 | − | 20.1292i | −0.453442 | − | 0.992899i | ||||
\(412\) | 1.68723 | − | 11.7349i | 0.0831236 | − | 0.578138i | ||||
\(413\) | −4.90768 | −0.241491 | ||||||||
\(414\) | −4.77889 | − | 0.402765i | −0.234870 | − | 0.0197948i | ||||
\(415\) | −11.3817 | −0.558704 | ||||||||
\(416\) | 0.767058 | − | 5.33501i | 0.0376081 | − | 0.261570i | ||||
\(417\) | −6.70516 | − | 14.6823i | −0.328353 | − | 0.718993i | ||||
\(418\) | 4.58378 | + | 1.34592i | 0.224200 | + | 0.0658310i | ||||
\(419\) | −7.08420 | − | 8.17561i | −0.346086 | − | 0.399405i | 0.555844 | − | 0.831287i | \(-0.312395\pi\) |
−0.901930 | + | 0.431882i | \(0.857850\pi\) | |||||||
\(420\) | −1.73594 | + | 0.509717i | −0.0847050 | + | 0.0248716i | ||||
\(421\) | −11.4568 | − | 7.36284i | −0.558371 | − | 0.358843i | 0.230815 | − | 0.972998i | \(-0.425861\pi\) |
−0.789186 | + | 0.614155i | \(0.789497\pi\) | |||||||
\(422\) | 1.93453 | − | 4.23603i | 0.0941715 | − | 0.206207i | ||||
\(423\) | 2.26304 | − | 2.61169i | 0.110033 | − | 0.126985i | ||||
\(424\) | −3.47673 | + | 2.23436i | −0.168845 | + | 0.108510i | ||||
\(425\) | −0.0315914 | − | 0.219723i | −0.00153241 | − | 0.0106581i | ||||
\(426\) | −0.419758 | − | 2.91948i | −0.0203373 | − | 0.141449i | ||||
\(427\) | 8.04258 | − | 5.16865i | 0.389208 | − | 0.250129i | ||||
\(428\) | 2.77893 | − | 3.20706i | 0.134325 | − | 0.155019i | ||||
\(429\) | −4.62604 | + | 10.1296i | −0.223347 | + | 0.489062i | ||||
\(430\) | 12.3235 | + | 7.91982i | 0.594291 | + | 0.381928i | ||||
\(431\) | −9.76676 | + | 2.86778i | −0.470448 | + | 0.138136i | −0.508359 | − | 0.861145i | \(-0.669748\pi\) |
0.0379111 | + | 0.999281i | \(0.487930\pi\) | |||||||
\(432\) | −0.654861 | − | 0.755750i | −0.0315070 | − | 0.0363610i | ||||
\(433\) | −23.7289 | − | 6.96743i | −1.14034 | − | 0.334834i | −0.343575 | − | 0.939125i | \(-0.611638\pi\) |
−0.796763 | + | 0.604292i | \(0.793456\pi\) | |||||||
\(434\) | −2.42664 | − | 5.31359i | −0.116482 | − | 0.255061i | ||||
\(435\) | 2.66917 | − | 18.5645i | 0.127977 | − | 0.890099i | ||||
\(436\) | 12.9543 | 0.620399 | ||||||||
\(437\) | −9.79929 | + | 5.19059i | −0.468763 | + | 0.248300i | ||||
\(438\) | 11.9350 | 0.570275 | ||||||||
\(439\) | 1.01289 | − | 7.04479i | 0.0483425 | − | 0.336230i | −0.951269 | − | 0.308362i | \(-0.900219\pi\) |
0.999612 | − | 0.0278677i | \(-0.00887171\pi\) | |||||||
\(440\) | 1.55283 | + | 3.40022i | 0.0740281 | + | 0.162099i | ||||
\(441\) | −0.959493 | − | 0.281733i | −0.0456901 | − | 0.0134158i | ||||
\(442\) | −0.453760 | − | 0.523667i | −0.0215832 | − | 0.0249083i | ||||
\(443\) | 36.5863 | − | 10.7427i | 1.73827 | − | 0.510401i | 0.749777 | − | 0.661690i | \(-0.230161\pi\) |
0.988490 | + | 0.151289i | \(0.0483424\pi\) | |||||||
\(444\) | −5.56773 | − | 3.57816i | −0.264233 | − | 0.169812i | ||||
\(445\) | 9.39452 | − | 20.5711i | 0.445343 | − | 0.975165i | ||||
\(446\) | 14.9691 | − | 17.2753i | 0.708807 | − | 0.818007i | ||||
\(447\) | 11.6680 | − | 7.49854i | 0.551875 | − | 0.354669i | ||||
\(448\) | −0.142315 | − | 0.989821i | −0.00672374 | − | 0.0467647i | ||||
\(449\) | 1.43434 | + | 9.97607i | 0.0676908 | + | 0.470800i | 0.995268 | + | 0.0971682i | \(0.0309785\pi\) |
−0.927577 | + | 0.373632i | \(0.878112\pi\) | |||||||
\(450\) | 1.45260 | − | 0.933531i | 0.0684764 | − | 0.0440071i | ||||
\(451\) | −8.90798 | + | 10.2804i | −0.419461 | + | 0.484083i | ||||
\(452\) | −0.286996 | + | 0.628433i | −0.0134991 | + | 0.0295590i | ||||
\(453\) | −14.2980 | − | 9.18877i | −0.671779 | − | 0.431726i | ||||
\(454\) | −10.2940 | + | 3.02258i | −0.483119 | + | 0.141857i | ||||
\(455\) | −6.38586 | − | 7.36967i | −0.299374 | − | 0.345496i | ||||
\(456\) | −2.21858 | − | 0.651433i | −0.103894 | − | 0.0305061i | ||||
\(457\) | −1.43115 | − | 3.13378i | −0.0669464 | − | 0.146592i | 0.873201 | − | 0.487360i | \(-0.162040\pi\) |
−0.940147 | + | 0.340768i | \(0.889313\pi\) | |||||||
\(458\) | 1.83080 | − | 12.7335i | 0.0855478 | − | 0.594998i | ||||
\(459\) | −0.128558 | −0.00600057 | ||||||||
\(460\) | −8.09055 | − | 3.13506i | −0.377224 | − | 0.146173i | ||||
\(461\) | 3.57779 | 0.166634 | 0.0833172 | − | 0.996523i | \(-0.473449\pi\) | ||||
0.0833172 | + | 0.996523i | \(0.473449\pi\) | |||||||
\(462\) | −0.294035 | + | 2.04506i | −0.0136797 | + | 0.0951447i | ||||
\(463\) | −7.81722 | − | 17.1173i | −0.363297 | − | 0.795509i | −0.999708 | − | 0.0241592i | \(-0.992309\pi\) |
0.636411 | − | 0.771350i | \(-0.280418\pi\) | |||||||
\(464\) | 9.94663 | + | 2.92059i | 0.461761 | + | 0.135585i | ||||
\(465\) | −6.92091 | − | 7.98716i | −0.320950 | − | 0.370396i | ||||
\(466\) | −20.4887 | + | 6.01602i | −0.949121 | + | 0.278687i | ||||
\(467\) | 19.8494 | + | 12.7564i | 0.918522 | + | 0.590298i | 0.912228 | − | 0.409682i | \(-0.134360\pi\) |
0.00629322 | + | 0.999980i | \(0.497997\pi\) | |||||||
\(468\) | 2.23903 | − | 4.90280i | 0.103499 | − | 0.226632i | ||||
\(469\) | −5.60587 | + | 6.46952i | −0.258855 | + | 0.298735i | ||||
\(470\) | 5.25973 | − | 3.38022i | 0.242613 | − | 0.155918i | ||||
\(471\) | 1.80270 | + | 12.5381i | 0.0830641 | + | 0.577723i | ||||
\(472\) | −0.698436 | − | 4.85773i | −0.0321481 | − | 0.223595i | ||||
\(473\) | 14.0731 | − | 9.04424i | 0.647083 | − | 0.415855i | ||||
\(474\) | −1.29987 | + | 1.50013i | −0.0597048 | + | 0.0689031i | ||||
\(475\) | 1.65857 | − | 3.63177i | 0.0761006 | − | 0.166637i | ||||
\(476\) | −0.108150 | − | 0.0695037i | −0.00495704 | − | 0.00318570i | ||||
\(477\) | −3.96540 | + | 1.16435i | −0.181563 | + | 0.0533117i | ||||
\(478\) | −14.9441 | − | 17.2464i | −0.683527 | − | 0.788832i | ||||
\(479\) | 13.5712 | + | 3.98485i | 0.620082 | + | 0.182073i | 0.576660 | − | 0.816984i | \(-0.304356\pi\) |
0.0434222 | + | 0.999057i | \(0.486174\pi\) | |||||||
\(480\) | −0.751578 | − | 1.64573i | −0.0343047 | − | 0.0751168i | ||||
\(481\) | 5.07668 | − | 35.3091i | 0.231477 | − | 1.60996i | ||||
\(482\) | −8.91422 | −0.406031 | ||||||||
\(483\) | −2.82512 | − | 3.87540i | −0.128547 | − | 0.176337i | ||||
\(484\) | −6.73128 | −0.305967 | ||||||||
\(485\) | −0.146446 | + | 1.01855i | −0.00664976 | + | 0.0462501i | ||||
\(486\) | −0.415415 | − | 0.909632i | −0.0188436 | − | 0.0412617i | ||||
\(487\) | −0.968295 | − | 0.284317i | −0.0438776 | − | 0.0128836i | 0.259720 | − | 0.965684i | \(-0.416370\pi\) |
−0.303598 | + | 0.952800i | \(0.598188\pi\) | |||||||
\(488\) | 6.26062 | + | 7.22514i | 0.283405 | + | 0.327067i | ||||
\(489\) | −14.5050 | + | 4.25904i | −0.655937 | + | 0.192600i | ||||
\(490\) | −1.52202 | − | 0.978140i | −0.0687576 | − | 0.0441878i | ||||
\(491\) | 3.24497 | − | 7.10550i | 0.146444 | − | 0.320667i | −0.822168 | − | 0.569244i | \(-0.807236\pi\) |
0.968612 | + | 0.248578i | \(0.0799631\pi\) | |||||||
\(492\) | 4.31152 | − | 4.97576i | 0.194378 | − | 0.224325i | ||||
\(493\) | 1.12114 | − | 0.720513i | 0.0504936 | − | 0.0324503i | ||||
\(494\) | −1.77362 | − | 12.3358i | −0.0797990 | − | 0.555014i | ||||
\(495\) | 0.531975 | + | 3.69997i | 0.0239105 | + | 0.166301i | ||||
\(496\) | 4.91416 | − | 3.15814i | 0.220652 | − | 0.141805i | ||||
\(497\) | 1.93151 | − | 2.22909i | 0.0866402 | − | 0.0999881i | ||||
\(498\) | 2.61334 | − | 5.72242i | 0.117107 | − | 0.256428i | ||||
\(499\) | 10.6486 | + | 6.84345i | 0.476698 | + | 0.306355i | 0.756836 | − | 0.653605i | \(-0.226744\pi\) |
−0.280139 | + | 0.959960i | \(0.590380\pi\) | |||||||
\(500\) | 11.6771 | − | 3.42872i | 0.522218 | − | 0.153337i | ||||
\(501\) | 0.873973 | + | 1.00862i | 0.0390462 | + | 0.0450618i | ||||
\(502\) | 12.0250 | + | 3.53084i | 0.536700 | + | 0.157589i | ||||
\(503\) | −5.00206 | − | 10.9530i | −0.223031 | − | 0.488370i | 0.764729 | − | 0.644352i | \(-0.222873\pi\) |
−0.987760 | + | 0.155983i | \(0.950146\pi\) | |||||||
\(504\) | 0.142315 | − | 0.989821i | 0.00633921 | − | 0.0440902i | ||||
\(505\) | −8.29201 | −0.368990 | ||||||||
\(506\) | −7.09473 | + | 6.91703i | −0.315399 | + | 0.307500i | ||||
\(507\) | 16.0507 | 0.712836 | ||||||||
\(508\) | −2.33868 | + | 16.2659i | −0.103762 | + | 0.721682i | ||||
\(509\) | 8.11282 | + | 17.7646i | 0.359594 | + | 0.787402i | 0.999815 | + | 0.0192110i | \(0.00611542\pi\) |
−0.640221 | + | 0.768191i | \(0.721157\pi\) | |||||||
\(510\) | −0.223169 | − | 0.0655282i | −0.00988207 | − | 0.00290164i | ||||
\(511\) | 7.81574 | + | 9.01985i | 0.345748 | + | 0.399015i | ||||
\(512\) | 0.959493 | − | 0.281733i | 0.0424040 | − | 0.0124509i | ||||
\(513\) | −1.94518 | − | 1.25009i | −0.0858817 | − | 0.0551928i | ||||
\(514\) | −5.07164 | + | 11.1053i | −0.223700 | + | 0.489836i | ||||
\(515\) | 14.0464 | − | 16.2104i | 0.618957 | − | 0.714314i | ||||
\(516\) | −6.81148 | + | 4.37747i | −0.299859 | + | 0.192707i | ||||
\(517\) | −1.01612 | − | 7.06724i | −0.0446887 | − | 0.310817i | ||||
\(518\) | −0.941893 | − | 6.55101i | −0.0413844 | − | 0.287835i | ||||
\(519\) | −13.7487 | + | 8.83577i | −0.603502 | + | 0.387847i | ||||
\(520\) | 6.38586 | − | 7.36967i | 0.280038 | − | 0.323182i | ||||
\(521\) | −0.0702635 | + | 0.153856i | −0.00307830 | + | 0.00674054i | −0.911165 | − | 0.412042i | \(-0.864816\pi\) |
0.908087 | + | 0.418782i | \(0.137543\pi\) | |||||||
\(522\) | 8.72089 | + | 5.60458i | 0.381703 | + | 0.245306i | ||||
\(523\) | −38.8039 | + | 11.3939i | −1.69678 | + | 0.498218i | −0.979985 | − | 0.199070i | \(-0.936208\pi\) |
−0.716791 | + | 0.697288i | \(0.754390\pi\) | |||||||
\(524\) | 6.12013 | + | 7.06300i | 0.267359 | + | 0.308549i | ||||
\(525\) | 1.65677 | + | 0.486471i | 0.0723073 | + | 0.0212313i | ||||
\(526\) | 2.71301 | + | 5.94066i | 0.118293 | + | 0.259025i | ||||
\(527\) | 0.106874 | − | 0.743324i | 0.00465550 | − | 0.0323797i | ||||
\(528\) | −2.06609 | −0.0899150 | ||||||||
\(529\) | 0.583286 | − | 22.9926i | 0.0253602 | − | 0.999678i | ||||
\(530\) | −7.47716 | −0.324787 | ||||||||
\(531\) | 0.698436 | − | 4.85773i | 0.0303095 | − | 0.210807i | ||||
\(532\) | −0.960539 | − | 2.10329i | −0.0416446 | − | 0.0911890i | ||||
\(533\) | 34.0488 | + | 9.99762i | 1.47482 | + | 0.433045i | ||||
\(534\) | 8.18557 | + | 9.44666i | 0.354224 | + | 0.408797i | ||||
\(535\) | 7.36653 | − | 2.16301i | 0.318483 | − | 0.0935150i | ||||
\(536\) | −7.20147 | − | 4.62810i | −0.311056 | − | 0.199904i | ||||
\(537\) | 2.67277 | − | 5.85254i | 0.115338 | − | 0.252556i | ||||
\(538\) | 14.3219 | − | 16.5284i | 0.617463 | − | 0.712590i | ||||
\(539\) | −1.73810 | + | 1.11701i | −0.0748654 | + | 0.0481131i | ||||
\(540\) | −0.257479 | − | 1.79081i | −0.0110801 | − | 0.0770641i | ||||
\(541\) | 1.23750 | + | 8.60702i | 0.0532044 | + | 0.370045i | 0.998977 | + | 0.0452158i | \(0.0143976\pi\) |
−0.945773 | + | 0.324829i | \(0.894693\pi\) | |||||||
\(542\) | −0.160394 | + | 0.103079i | −0.00688950 | + | 0.00442761i | ||||
\(543\) | −11.5677 | + | 13.3499i | −0.496419 | + | 0.572898i | ||||
\(544\) | 0.0534049 | − | 0.116940i | 0.00228972 | − | 0.00501378i | ||||
\(545\) | 19.7167 | + | 12.6711i | 0.844569 | + | 0.542772i | ||||
\(546\) | 5.17154 | − | 1.51850i | 0.221322 | − | 0.0649859i | ||||
\(547\) | −22.7769 | − | 26.2860i | −0.973871 | − | 1.12391i | −0.992273 | − | 0.124076i | \(-0.960403\pi\) |
0.0184017 | − | 0.999831i | \(-0.494142\pi\) | |||||||
\(548\) | 21.2325 | + | 6.23444i | 0.907009 | + | 0.266322i | ||||
\(549\) | 3.97146 | + | 8.69629i | 0.169498 | + | 0.371149i | ||||
\(550\) | 0.507714 | − | 3.53123i | 0.0216490 | − | 0.150572i | ||||
\(551\) | 23.9699 | 1.02115 | ||||||||
\(552\) | 3.43390 | − | 3.34789i | 0.146156 | − | 0.142496i | ||||
\(553\) | −1.98495 | −0.0844087 | ||||||||
\(554\) | −3.15725 | + | 21.9592i | −0.134139 | + | 0.932955i | ||||
\(555\) | −4.97423 | − | 10.8920i | −0.211144 | − | 0.462341i | ||||
\(556\) | 15.4871 | + | 4.54741i | 0.656798 | + | 0.192853i | ||||
\(557\) | −19.8853 | − | 22.9489i | −0.842567 | − | 0.972374i | 0.157318 | − | 0.987548i | \(-0.449715\pi\) |
−0.999885 | + | 0.0151737i | \(0.995170\pi\) | |||||||
\(558\) | 5.60485 | − | 1.64573i | 0.237272 | − | 0.0696694i | ||||
\(559\) | −36.7130 | − | 23.5940i | −1.55279 | − | 0.997920i | ||||
\(560\) | 0.751578 | − | 1.64573i | 0.0317600 | − | 0.0695447i | ||||
\(561\) | −0.173939 | + | 0.200736i | −0.00734371 | + | 0.00847509i | ||||
\(562\) | 3.05160 | − | 1.96114i | 0.128724 | − | 0.0827258i | ||||
\(563\) | −4.67196 | − | 32.4942i | −0.196900 | − | 1.36947i | −0.813213 | − | 0.581966i | \(-0.802284\pi\) |
0.616314 | − | 0.787501i | \(-0.288625\pi\) | |||||||
\(564\) | 0.491807 | + | 3.42059i | 0.0207088 | + | 0.144033i | ||||
\(565\) | −1.05151 | + | 0.675763i | −0.0442372 | + | 0.0284295i | ||||
\(566\) | 5.34630 | − | 6.16996i | 0.224722 | − | 0.259343i | ||||
\(567\) | 0.415415 | − | 0.909632i | 0.0174458 | − | 0.0382010i | ||||
\(568\) | 2.48128 | + | 1.59462i | 0.104112 | + | 0.0669088i | ||||
\(569\) | −22.3732 | + | 6.56935i | −0.937931 | + | 0.275401i | −0.714754 | − | 0.699376i | \(-0.753461\pi\) |
−0.223178 | + | 0.974778i | \(0.571643\pi\) | |||||||
\(570\) | −2.73951 | − | 3.16157i | −0.114746 | − | 0.132424i | ||||
\(571\) | 31.1445 | + | 9.14486i | 1.30336 | + | 0.382701i | 0.858460 | − | 0.512880i | \(-0.171422\pi\) |
0.444899 | + | 0.895581i | \(0.353240\pi\) | |||||||
\(572\) | −4.62604 | − | 10.1296i | −0.193424 | − | 0.423540i | ||||
\(573\) | 0.697570 | − | 4.85170i | 0.0291414 | − | 0.202683i | ||||
\(574\) | 6.58388 | 0.274806 | ||||||||
\(575\) | 4.87817 | + | 6.69170i | 0.203434 | + | 0.279063i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 1.36048 | − | 9.46232i | 0.0566374 | − | 0.393921i | −0.941709 | − | 0.336430i | \(-0.890781\pi\) |
0.998346 | − | 0.0574919i | \(-0.0183103\pi\) | |||||||
\(578\) | 7.05519 | + | 15.4487i | 0.293457 | + | 0.642582i | ||||
\(579\) | 8.95613 | + | 2.62976i | 0.372204 | + | 0.109289i | ||||
\(580\) | 12.2822 | + | 14.1744i | 0.509989 | + | 0.588559i | ||||
\(581\) | 6.03609 | − | 1.77236i | 0.250419 | − | 0.0735297i | ||||
\(582\) | −0.478478 | − | 0.307499i | −0.0198335 | − | 0.0127462i | ||||
\(583\) | −3.54712 | + | 7.76711i | −0.146907 | + | 0.321681i | ||||
\(584\) | −7.81574 | + | 9.01985i | −0.323418 | + | 0.373244i | ||||
\(585\) | 8.20346 | − | 5.27204i | 0.339171 | − | 0.217972i | ||||
\(586\) | 0.0597045 | + | 0.415254i | 0.00246637 | + | 0.0171540i | ||||
\(587\) | 0.909428 | + | 6.32521i | 0.0375361 | + | 0.261069i | 0.999944 | − | 0.0105372i | \(-0.00335414\pi\) |
−0.962408 | + | 0.271607i | \(0.912445\pi\) | |||||||
\(588\) | 0.841254 | − | 0.540641i | 0.0346927 | − | 0.0222957i | ||||
\(589\) | 8.84512 | − | 10.2078i | 0.364457 | − | 0.420606i | ||||
\(590\) | 3.68851 | − | 8.07670i | 0.151853 | − | 0.332512i | ||||
\(591\) | −18.5481 | − | 11.9201i | −0.762967 | − | 0.490329i | ||||
\(592\) | 6.35028 | − | 1.86461i | 0.260995 | − | 0.0766351i | ||||
\(593\) | 23.2283 | + | 26.8069i | 0.953873 | + | 1.10083i | 0.994818 | + | 0.101667i | \(0.0324177\pi\) |
−0.0409450 | + | 0.999161i | \(0.513037\pi\) | |||||||
\(594\) | −1.98240 | − | 0.582084i | −0.0813387 | − | 0.0238832i | ||||
\(595\) | −0.0966214 | − | 0.211571i | −0.00396109 | − | 0.00867358i | ||||
\(596\) | −1.97387 | + | 13.7286i | −0.0808528 | + | 0.562343i | ||||
\(597\) | −23.0402 | −0.942973 | ||||||||
\(598\) | 24.1026 | + | 9.33967i | 0.985630 | + | 0.381927i | ||||
\(599\) | −2.91998 | −0.119307 | −0.0596537 | − | 0.998219i | \(-0.519000\pi\) | ||||
−0.0596537 | + | 0.998219i | \(0.519000\pi\) | |||||||
\(600\) | −0.245737 | + | 1.70914i | −0.0100322 | + | 0.0697752i | ||||
\(601\) | 5.04080 | + | 11.0378i | 0.205618 | + | 0.450242i | 0.984144 | − | 0.177371i | \(-0.0567593\pi\) |
−0.778526 | + | 0.627613i | \(0.784032\pi\) | |||||||
\(602\) | −7.76884 | − | 2.28114i | −0.316634 | − | 0.0929723i | ||||
\(603\) | −5.60587 | − | 6.46952i | −0.228289 | − | 0.263459i | ||||
\(604\) | 16.3076 | − | 4.78835i | 0.663548 | − | 0.194835i | ||||
\(605\) | −10.2451 | − | 6.58413i | −0.416523 | − | 0.267683i | ||||
\(606\) | 1.90393 | − | 4.16901i | 0.0773417 | − | 0.169355i | ||||
\(607\) | 5.99321 | − | 6.91654i | 0.243257 | − | 0.280734i | −0.620971 | − | 0.783833i | \(-0.713262\pi\) |
0.864228 | + | 0.503100i | \(0.167807\pi\) | |||||||
\(608\) | 1.94518 | − | 1.25009i | 0.0788874 | − | 0.0506979i | ||||
\(609\) | 1.47531 | + | 10.2610i | 0.0597827 | + | 0.415798i | ||||
\(610\) | 2.46156 | + | 17.1205i | 0.0996657 | + | 0.693190i | ||||
\(611\) | −15.6693 | + | 10.0700i | −0.633911 | + | 0.407390i | ||||
\(612\) | 0.0841876 | − | 0.0971576i | 0.00340308 | − | 0.00392736i | ||||
\(613\) | −11.2717 | + | 24.6816i | −0.455260 | + | 0.996880i | 0.533283 | + | 0.845937i | \(0.320958\pi\) |
−0.988542 | + | 0.150943i | \(0.951769\pi\) | |||||||
\(614\) | −6.42705 | − | 4.13041i | −0.259374 | − | 0.166690i | ||||
\(615\) | 11.4292 | − | 3.35591i | 0.460869 | − | 0.135323i | ||||
\(616\) | −1.35300 | − | 1.56145i | −0.0545139 | − | 0.0629124i | ||||
\(617\) | −13.5982 | − | 3.99278i | −0.547442 | − | 0.160743i | −0.00369566 | − | 0.999993i | \(-0.501176\pi\) |
−0.543746 | + | 0.839250i | \(0.682995\pi\) | |||||||
\(618\) | 4.92499 | + | 10.7842i | 0.198112 | + | 0.433805i | ||||
\(619\) | 2.57847 | − | 17.9337i | 0.103638 | − | 0.720815i | −0.870056 | − | 0.492953i | \(-0.835917\pi\) |
0.973693 | − | 0.227862i | \(-0.0731735\pi\) | |||||||
\(620\) | 10.5685 | 0.424442 | ||||||||
\(621\) | 4.23801 | − | 2.24484i | 0.170065 | − | 0.0900821i | ||||
\(622\) | −19.9728 | −0.800835 | ||||||||
\(623\) | −1.77890 | + | 12.3725i | −0.0712699 | + | 0.495693i | ||||
\(624\) | 2.23903 | + | 4.90280i | 0.0896330 | + | 0.196269i | ||||
\(625\) | 12.8427 | + | 3.77096i | 0.513709 | + | 0.150838i | ||||
\(626\) | 9.34155 | + | 10.7807i | 0.373363 | + | 0.430884i | ||||
\(627\) | −4.58378 | + | 1.34592i | −0.183058 | + | 0.0537508i | ||||
\(628\) | −10.6562 | − | 6.84829i | −0.425227 | − | 0.273277i | ||||
\(629\) | 0.353454 | − | 0.773956i | 0.0140931 | − | 0.0308596i | ||||
\(630\) | 1.18479 | − | 1.36732i | 0.0472031 | − | 0.0544753i | ||||
\(631\) | 39.2413 | − | 25.2188i | 1.56217 | − | 1.00395i | 0.580298 | − | 0.814404i | \(-0.302936\pi\) |
0.981873 | − | 0.189542i | \(-0.0607003\pi\) | |||||||
\(632\) | −0.282488 | − | 1.96475i | −0.0112368 | − | 0.0781534i | ||||
\(633\) | 0.662741 | + | 4.60947i | 0.0263416 | + | 0.183210i | ||||
\(634\) | −10.5152 | + | 6.75772i | −0.417612 | + | 0.268383i | ||||
\(635\) | −19.4698 | + | 22.4694i | −0.772636 | + | 0.891670i | ||||
\(636\) | 1.71683 | − | 3.75933i | 0.0680767 | − | 0.149067i | ||||
\(637\) | 4.53425 | + | 2.91398i | 0.179653 | + | 0.115456i | ||||
\(638\) | 20.5506 | − | 6.03420i | 0.813606 | − | 0.238896i | ||||
\(639\) | 1.93151 | + | 2.22909i | 0.0764095 | + | 0.0881812i | ||||
\(640\) | 1.73594 | + | 0.509717i | 0.0686189 | + | 0.0201483i | ||||
\(641\) | −12.5186 | − | 27.4120i | −0.494457 | − | 1.08271i | −0.978231 | − | 0.207517i | \(-0.933462\pi\) |
0.483775 | − | 0.875193i | \(-0.339265\pi\) | |||||||
\(642\) | −0.603920 | + | 4.20036i | −0.0238348 | + | 0.165775i | ||||
\(643\) | −9.12720 | −0.359942 | −0.179971 | − | 0.983672i | \(-0.557600\pi\) | ||||
−0.179971 | + | 0.983672i | \(0.557600\pi\) | |||||||
\(644\) | 4.77889 | + | 0.402765i | 0.188315 | + | 0.0158712i | ||||
\(645\) | −14.6490 | −0.576802 | ||||||||
\(646\) | 0.0423040 | − | 0.294231i | 0.00166443 | − | 0.0115764i | ||||
\(647\) | −10.7366 | − | 23.5098i | −0.422098 | − | 0.924266i | −0.994543 | − | 0.104323i | \(-0.966732\pi\) |
0.572445 | − | 0.819943i | \(-0.305995\pi\) | |||||||
\(648\) | 0.959493 | + | 0.281733i | 0.0376924 | + | 0.0110675i | ||||
\(649\) | −6.64009 | − | 7.66307i | −0.260646 | − | 0.300802i | ||||
\(650\) | −8.92977 | + | 2.62202i | −0.350254 | + | 0.102844i | ||||
\(651\) | 4.91416 | + | 3.15814i | 0.192601 | + | 0.123777i | ||||
\(652\) | 6.27996 | − | 13.7512i | 0.245942 | − | 0.538538i | ||||
\(653\) | −23.9105 | + | 27.5942i | −0.935689 | + | 1.07984i | 0.0609674 | + | 0.998140i | \(0.480581\pi\) |
−0.996657 | + | 0.0817033i | \(0.973964\pi\) | |||||||
\(654\) | −10.8979 | + | 7.00364i | −0.426140 | + | 0.273864i | ||||
\(655\) | 2.40632 | + | 16.7363i | 0.0940228 | + | 0.653943i | ||||
\(656\) | 0.936983 | + | 6.51686i | 0.0365830 | + | 0.254441i | ||||
\(657\) | −10.0403 | + | 6.45253i | −0.391711 | + | 0.251737i | ||||
\(658\) | −2.26304 | + | 2.61169i | −0.0882227 | + | 0.101814i | ||||
\(659\) | −0.00159036 | + | 0.00348240i | −6.19515e−5 | + | 0.000135655i | −0.909663 | − | 0.415347i | \(-0.863660\pi\) |
0.909601 | + | 0.415483i | \(0.136387\pi\) | |||||||
\(660\) | −3.14462 | − | 2.02092i | −0.122404 | − | 0.0786643i | ||||
\(661\) | −41.4154 | + | 12.1606i | −1.61087 | + | 0.472994i | −0.958544 | − | 0.284943i | \(-0.908025\pi\) |
−0.652327 | + | 0.757938i | \(0.726207\pi\) | |||||||
\(662\) | −6.56517 | − | 7.57661i | −0.255163 | − | 0.294473i | ||||
\(663\) | 0.664843 | + | 0.195215i | 0.0258204 | + | 0.00758154i | ||||
\(664\) | 2.61334 | + | 5.72242i | 0.101417 | + | 0.222073i | ||||
\(665\) | 0.595353 | − | 4.14077i | 0.0230868 | − | 0.160572i | ||||
\(666\) | 6.61837 | 0.256457 | ||||||||
\(667\) | −24.3779 | + | 43.3292i | −0.943915 | + | 1.67771i | ||||
\(668\) | −1.33459 | −0.0516370 | ||||||||
\(669\) | −3.25309 | + | 22.6258i | −0.125772 | + | 0.874763i | ||||
\(670\) | −6.43381 | − | 14.0881i | −0.248560 | − | 0.544270i | ||||
\(671\) | 18.9522 | + | 5.56486i | 0.731641 | + | 0.214829i | ||||
\(672\) | 0.654861 | + | 0.755750i | 0.0252618 | + | 0.0291537i | ||||
\(673\) | 21.3008 | − | 6.25448i | 0.821085 | − | 0.241092i | 0.155902 | − | 0.987773i | \(-0.450172\pi\) |
0.665183 | + | 0.746680i | \(0.268353\pi\) | |||||||
\(674\) | −13.8857 | − | 8.92380i | −0.534857 | − | 0.343732i | ||||
\(675\) | −0.717302 | + | 1.57067i | −0.0276090 | + | 0.0604552i | ||||
\(676\) | −10.5110 | + | 12.1303i | −0.404268 | + | 0.466550i | ||||
\(677\) | 15.6455 | − | 10.0548i | 0.601306 | − | 0.386436i | −0.204282 | − | 0.978912i | \(-0.565486\pi\) |
0.805588 | + | 0.592476i | \(0.201849\pi\) | |||||||
\(678\) | −0.0983203 | − | 0.683833i | −0.00377597 | − | 0.0262624i | ||||
\(679\) | −0.0809441 | − | 0.562978i | −0.00310635 | − | 0.0216051i | ||||
\(680\) | 0.195667 | − | 0.125748i | 0.00750349 | − | 0.00482220i | ||||
\(681\) | 7.02570 | − | 8.10809i | 0.269225 | − | 0.310703i | ||||
\(682\) | 5.01364 | − | 10.9783i | 0.191982 | − | 0.420383i | ||||
\(683\) | −36.9699 | − | 23.7591i | −1.41462 | − | 0.909118i | −0.414616 | − | 0.909997i | \(-0.636084\pi\) |
−1.00000 | 0.000878515i | \(0.999720\pi\) | ||||||||
\(684\) | 2.21858 | − | 0.651433i | 0.0848294 | − | 0.0249082i | ||||
\(685\) | 26.2181 | + | 30.2573i | 1.00174 | + | 1.15607i | ||||
\(686\) | 0.959493 | + | 0.281733i | 0.0366336 | + | 0.0107566i | ||||
\(687\) | 5.34409 | + | 11.7019i | 0.203890 | + | 0.446456i | ||||
\(688\) | 1.15230 | − | 8.01441i | 0.0439309 | − | 0.305546i | ||||
\(689\) | 22.2753 | 0.848620 | ||||||||
\(690\) | 8.50114 | − | 1.73671i | 0.323633 | − | 0.0661153i | ||||
\(691\) | 8.67012 | 0.329827 | 0.164913 | − | 0.986308i | \(-0.447266\pi\) | ||||
0.164913 | + | 0.986308i | \(0.447266\pi\) | |||||||
\(692\) | 2.32587 | − | 16.1768i | 0.0884164 | − | 0.614950i | ||||
\(693\) | −0.858284 | − | 1.87938i | −0.0326035 | − | 0.0713917i | ||||
\(694\) | 25.6965 | + | 7.54517i | 0.975426 | + | 0.286411i | ||||
\(695\) | 19.1235 | + | 22.0697i | 0.725397 | + | 0.837153i | ||||
\(696\) | −9.94663 | + | 2.92059i | −0.377026 | + | 0.110705i | ||||
\(697\) | 0.712045 | + | 0.457604i | 0.0269706 | + | 0.0173330i | ||||
\(698\) | 12.6412 | − | 27.6803i | 0.478475 | − | 1.04771i | ||||
\(699\) | 13.9837 | − | 16.1380i | 0.528911 | − | 0.610396i | ||||
\(700\) | −1.45260 | + | 0.933531i | −0.0549032 | + | 0.0352842i | ||||
\(701\) | 4.81427 | + | 33.4840i | 0.181832 | + | 1.26467i | 0.852426 | + | 0.522847i | \(0.175130\pi\) |
−0.670594 | + | 0.741824i | \(0.733961\pi\) | |||||||
\(702\) | 0.767058 | + | 5.33501i | 0.0289508 | + | 0.201357i | ||||
\(703\) | 12.8739 | − | 8.27357i | 0.485549 | − | 0.312044i | ||||
\(704\) | 1.35300 | − | 1.56145i | 0.0509931 | − | 0.0588492i | ||||
\(705\) | −2.59728 | + | 5.68724i | −0.0978191 | + | 0.214194i | ||||
\(706\) | −27.9586 | − | 17.9679i | −1.05224 | − | 0.676231i | ||||
\(707\) | 4.39754 | − | 1.29123i | 0.165386 | − | 0.0485618i | ||||
\(708\) | 3.21385 | + | 3.70898i | 0.120784 | + | 0.139392i | ||||
\(709\) | 35.1242 | + | 10.3134i | 1.31912 | + | 0.387327i | 0.864174 | − | 0.503194i | \(-0.167842\pi\) |
0.454942 | + | 0.890521i | \(0.349660\pi\) | |||||||
\(710\) | 2.21678 | + | 4.85408i | 0.0831943 | + | 0.182170i | ||||
\(711\) | 0.282488 | − | 1.96475i | 0.0105941 | − | 0.0736838i | ||||
\(712\) | −12.4997 | −0.468447 | ||||||||
\(713\) | 9.45649 | + | 26.3704i | 0.354148 | + | 0.987580i | ||||
\(714\) | 0.128558 | 0.00481116 | ||||||||
\(715\) | 2.86727 | − | 19.9423i | 0.107230 | − | 0.745801i | ||||
\(716\) | 2.67277 | + | 5.85254i | 0.0998859 | + | 0.218720i | ||||
\(717\) | 21.8959 | + | 6.42921i | 0.817717 | + | 0.240103i | ||||
\(718\) | −8.89583 | − | 10.2663i | −0.331989 | − | 0.383136i | ||||
\(719\) | 27.5548 | − | 8.09082i | 1.02762 | − | 0.301737i | 0.275878 | − | 0.961193i | \(-0.411031\pi\) |
0.751743 | + | 0.659456i | \(0.229213\pi\) | |||||||
\(720\) | 1.52202 | + | 0.978140i | 0.0567222 | + | 0.0364531i | ||||
\(721\) | −4.92499 | + | 10.7842i | −0.183416 | + | 0.401625i | ||||
\(722\) | −8.94118 | + | 10.3187i | −0.332756 | + | 0.384021i | ||||
\(723\) | 7.49912 | − | 4.81939i | 0.278895 | − | 0.179235i | ||||
\(724\) | −2.51391 | − | 17.4846i | −0.0934287 | − | 0.649811i | ||||
\(725\) | −2.54744 | − | 17.7178i | −0.0946096 | − | 0.658024i | ||||
\(726\) | 5.66271 | − | 3.63920i | 0.210163 | − | 0.135064i | ||||
\(727\) | −33.4915 | + | 38.6513i | −1.24213 | + | 1.43350i | −0.381420 | + | 0.924402i | \(0.624565\pi\) |
−0.860711 | + | 0.509094i | \(0.829980\pi\) | |||||||
\(728\) | −2.23903 | + | 4.90280i | −0.0829841 | + | 0.181710i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | −20.7184 | + | 6.08346i | −0.766821 | + | 0.225159i | ||||
\(731\) | −0.681652 | − | 0.786668i | −0.0252118 | − | 0.0290960i | ||||
\(732\) | −9.17297 | − | 2.69343i | −0.339043 | − | 0.0995520i | ||||
\(733\) | −4.70301 | − | 10.2982i | −0.173710 | − | 0.380371i | 0.802673 | − | 0.596419i | \(-0.203410\pi\) |
−0.976383 | + | 0.216048i | \(0.930683\pi\) | |||||||
\(734\) | −1.42663 | + | 9.92240i | −0.0526577 | + | 0.366242i | ||||
\(735\) | 1.80922 | 0.0667342 | ||||||||
\(736\) | 0.281442 | + | 4.78757i | 0.0103741 | + | 0.176472i | ||||
\(737\) | −17.6865 | −0.651492 | ||||||||
\(738\) | −0.936983 | + | 6.51686i | −0.0344908 | + | 0.239889i | ||||
\(739\) | 2.99416 | + | 6.55630i | 0.110142 | + | 0.241178i | 0.956674 | − | 0.291160i | \(-0.0940411\pi\) |
−0.846532 | + | 0.532337i | \(0.821314\pi\) | |||||||
\(740\) | 11.4891 | + | 3.37350i | 0.422347 | + | 0.124012i | ||||
\(741\) | 8.16131 | + | 9.41865i | 0.299813 | + | 0.346003i | ||||
\(742\) | 3.96540 | − | 1.16435i | 0.145574 | − | 0.0427445i | ||||
\(743\) | 23.4561 | + | 15.0743i | 0.860521 | + | 0.553023i | 0.894840 | − | 0.446387i | \(-0.147290\pi\) |
−0.0343184 | + | 0.999411i | \(0.510926\pi\) | |||||||
\(744\) | −2.42664 | + | 5.31359i | −0.0889648 | + | 0.194806i | ||||
\(745\) | −16.4327 | + | 18.9643i | −0.602047 | + | 0.694800i | ||||
\(746\) | 6.36423 | − | 4.09004i | 0.233011 | − | 0.149747i | ||||
\(747\) | 0.895290 | + | 6.22688i | 0.0327570 | + | 0.227830i | ||||
\(748\) | −0.0378005 | − | 0.262909i | −0.00138212 | − | 0.00961289i | ||||
\(749\) | −3.56990 | + | 2.29424i | −0.130441 | + | 0.0838296i | ||||
\(750\) | −7.96974 | + | 9.19756i | −0.291014 | + | 0.335848i | ||||
\(751\) | −4.40620 | + | 9.64824i | −0.160785 | + | 0.352069i | −0.972828 | − | 0.231527i | \(-0.925628\pi\) |
0.812044 | + | 0.583597i | \(0.198355\pi\) | |||||||
\(752\) | −2.90717 | − | 1.86833i | −0.106014 | − | 0.0681309i | ||||
\(753\) | −12.0250 | + | 3.53084i | −0.438214 | + | 0.128671i | ||||
\(754\) | −36.5899 | − | 42.2270i | −1.33253 | − | 1.53782i | ||||
\(755\) | 29.5041 | + | 8.66319i | 1.07376 | + | 0.315286i | ||||
\(756\) | 0.415415 | + | 0.909632i | 0.0151085 | + | 0.0330830i | ||||
\(757\) | 1.39355 | − | 9.69235i | 0.0506494 | − | 0.352275i | −0.948699 | − | 0.316181i | \(-0.897599\pi\) |
0.999348 | − | 0.0360938i | \(-0.0114915\pi\) | |||||||
\(758\) | 30.9366 | 1.12367 | ||||||||
\(759\) | 2.22884 | − | 9.65468i | 0.0809017 | − | 0.350443i | ||||
\(760\) | 4.18335 | 0.151746 | ||||||||
\(761\) | 1.74859 | − | 12.1617i | 0.0633865 | − | 0.440863i | −0.933271 | − | 0.359172i | \(-0.883059\pi\) |
0.996658 | − | 0.0816904i | \(-0.0260319\pi\) | |||||||
\(762\) | −6.82658 | − | 14.9481i | −0.247301 | − | 0.541513i | ||||
\(763\) | −12.4296 | − | 3.64965i | −0.449981 | − | 0.132126i | ||||
\(764\) | 3.20986 | + | 3.70438i | 0.116129 | + | 0.134020i | ||||
\(765\) | 0.223169 | − | 0.0655282i | 0.00806867 | − | 0.00236918i | ||||
\(766\) | 5.71236 | + | 3.67111i | 0.206396 | + | 0.132643i | ||||
\(767\) | −10.9885 | + | 24.0614i | −0.396770 | + | 0.868805i | ||||
\(768\) | −0.654861 | + | 0.755750i | −0.0236303 | + | 0.0272708i | ||||
\(769\) | 23.5165 | − | 15.1131i | 0.848027 | − | 0.544994i | −0.0429316 | − | 0.999078i | \(-0.513670\pi\) |
0.890959 | + | 0.454084i | \(0.150033\pi\) | |||||||
\(770\) | −0.531975 | − | 3.69997i | −0.0191710 | − | 0.133338i | ||||
\(771\) | −1.73747 | − | 12.0843i | −0.0625733 | − | 0.435207i | ||||
\(772\) | −7.85245 | + | 5.04647i | −0.282616 | + | 0.181626i | ||||
\(773\) | −31.6852 | + | 36.5667i | −1.13964 | + | 1.31521i | −0.197377 | + | 0.980328i | \(0.563242\pi\) |
−0.942260 | + | 0.334883i | \(0.891303\pi\) | |||||||
\(774\) | 3.36354 | − | 7.36513i | 0.120900 | − | 0.264734i | ||||
\(775\) | −8.48534 | − | 5.45320i | −0.304802 | − | 0.195885i | ||||
\(776\) | 0.545729 | − | 0.160240i | 0.0195905 | − | 0.00575229i | ||||
\(777\) | 4.33411 | + | 5.00183i | 0.155485 | + | 0.179440i | ||||
\(778\) | 0.348972 | + | 0.102467i | 0.0125112 | + | 0.00367363i | ||||
\(779\) | 6.32407 | + | 13.8478i | 0.226583 | + | 0.496148i | ||||
\(780\) | −1.38778 | + | 9.65222i | −0.0496905 | + | 0.345605i | ||||
\(781\) | 6.09393 | 0.218058 | ||||||||
\(782\) | 0.488843 | + | 0.375709i | 0.0174810 | + | 0.0134353i | ||||
\(783\) | −10.3665 | −0.370470 | ||||||||
\(784\) | −0.142315 | + | 0.989821i | −0.00508267 | + | 0.0353508i | ||||
\(785\) | −9.52024 | − | 20.8464i | −0.339792 | − | 0.744040i | ||||
\(786\) | −8.96713 | − | 2.63299i | −0.319847 | − | 0.0939155i | ||||
\(787\) | −9.83127 | − | 11.3459i | −0.350447 | − | 0.404437i | 0.552970 | − | 0.833201i | \(-0.313495\pi\) |
−0.903416 | + | 0.428764i | \(0.858949\pi\) | |||||||
\(788\) | 21.1551 | − | 6.21169i | 0.753619 | − | 0.221282i | ||||
\(789\) | −5.49409 | − | 3.53084i | −0.195595 | − | 0.125701i | ||||
\(790\) | 1.49185 | − | 3.26669i | 0.0530775 | − | 0.116224i | ||||
\(791\) | 0.452420 | − | 0.522121i | 0.0160862 | − | 0.0185645i | ||||
\(792\) | 1.73810 | − | 1.11701i | 0.0617608 | − | 0.0396913i | ||||
\(793\) | −7.33325 | − | 51.0039i | −0.260412 | − | 1.81120i | ||||
\(794\) | 2.15862 | + | 15.0135i | 0.0766065 | + | 0.532810i | ||||
\(795\) | 6.29019 | − | 4.04246i | 0.223090 | − | 0.143371i | ||||
\(796\) | 15.0881 | − | 17.4126i | 0.534784 | − | 0.617174i | ||||
\(797\) | −9.82425 | + | 21.5121i | −0.347993 | + | 0.761998i | 0.652000 | + | 0.758219i | \(0.273930\pi\) |
−0.999993 | + | 0.00377918i | \(0.998797\pi\) | |||||||
\(798\) | 1.94518 | + | 1.25009i | 0.0688586 | + | 0.0442527i | ||||
\(799\) | −0.426270 | + | 0.125164i | −0.0150804 | + | 0.00442799i | ||||
\(800\) | −1.13076 | − | 1.30496i | −0.0399783 | − | 0.0461374i | ||||
\(801\) | −11.9934 | − | 3.52158i | −0.423766 | − | 0.124429i | ||||
\(802\) | 10.6363 | + | 23.2902i | 0.375580 | + | 0.822405i | ||||
\(803\) | −3.50930 | + | 24.4077i | −0.123840 | + | 0.861330i | ||||
\(804\) | 8.56040 | 0.301902 | ||||||||
\(805\) | 6.87958 | + | 5.28744i | 0.242473 | + | 0.186358i | ||||
\(806\) | −31.4848 | −1.10900 | ||||||||
\(807\) | −3.11246 | + | 21.6476i | −0.109564 | + | 0.762032i | ||||
\(808\) | 1.90393 | + | 4.16901i | 0.0669798 | + | 0.146665i | ||||
\(809\) | 46.1470 | + | 13.5500i | 1.62244 | + | 0.476392i | 0.961673 | − | 0.274198i | \(-0.0884122\pi\) |
0.660769 | + | 0.750590i | \(0.270230\pi\) | |||||||
\(810\) | 1.18479 | + | 1.36732i | 0.0416292 | + | 0.0480427i | ||||
\(811\) | 11.7111 | − | 3.43869i | 0.411232 | − | 0.120749i | −0.0695713 | − | 0.997577i | \(-0.522163\pi\) |
0.480804 | + | 0.876828i | \(0.340345\pi\) | |||||||
\(812\) | −8.72089 | − | 5.60458i | −0.306043 | − | 0.196682i | ||||
\(813\) | 0.0792032 | − | 0.173431i | 0.00277778 | − | 0.00608249i | ||||
\(814\) | 8.95466 | − | 10.3342i | 0.313861 | − | 0.362215i | ||||
\(815\) | 23.0088 | − | 14.7868i | 0.805962 | − | 0.517960i | ||||
\(816\) | 0.0182957 | + | 0.127249i | 0.000640478 | + | 0.00445462i | ||||
\(817\) | −2.66439 | − | 18.5312i | −0.0932151 | − | 0.648325i | ||||
\(818\) | −30.9749 | + | 19.9063i | −1.08301 | + | 0.696009i | ||||
\(819\) | −3.52961 | + | 4.07339i | −0.123335 | + | 0.142336i | ||||
\(820\) | −4.94830 | + | 10.8353i | −0.172802 | + | 0.378384i | ||||
\(821\) | 6.44582 | + | 4.14248i | 0.224961 | + | 0.144574i | 0.648267 | − | 0.761413i | \(-0.275494\pi\) |
−0.423306 | + | 0.905987i | \(0.639130\pi\) | |||||||
\(822\) | −21.2325 | + | 6.23444i | −0.740570 | + | 0.217451i | ||||
\(823\) | 19.8682 | + | 22.9292i | 0.692563 | + | 0.799260i | 0.987728 | − | 0.156186i | \(-0.0499200\pi\) |
−0.295165 | + | 0.955446i | \(0.595375\pi\) | |||||||
\(824\) | −11.3754 | − | 3.34010i | −0.396279 | − | 0.116358i | ||||
\(825\) | 1.48201 | + | 3.24515i | 0.0515970 | + | 0.112982i | ||||
\(826\) | −0.698436 | + | 4.85773i | −0.0243017 | + | 0.169022i | ||||
\(827\) | 25.7802 | 0.896466 | 0.448233 | − | 0.893917i | \(-0.352053\pi\) | ||||
0.448233 | + | 0.893917i | \(0.352053\pi\) | |||||||
\(828\) | −1.07877 | + | 4.67293i | −0.0374899 | + | 0.162395i | ||||
\(829\) | −23.3305 | −0.810302 | −0.405151 | − | 0.914250i | \(-0.632781\pi\) | ||||
−0.405151 | + | 0.914250i | \(0.632781\pi\) | |||||||
\(830\) | −1.61978 | + | 11.2658i | −0.0562234 | + | 0.391042i | ||||
\(831\) | −9.21597 | − | 20.1802i | −0.319698 | − | 0.700042i | ||||
\(832\) | −5.17154 | − | 1.51850i | −0.179291 | − | 0.0526446i | ||||
\(833\) | 0.0841876 | + | 0.0971576i | 0.00291693 | + | 0.00336631i | ||||
\(834\) | −15.4871 | + | 4.54741i | −0.536273 | + | 0.157464i | ||||
\(835\) | −2.03127 | − | 1.30542i | −0.0702951 | − | 0.0451759i | ||||
\(836\) | 1.98456 | − | 4.34557i | 0.0686374 | − | 0.150295i | ||||
\(837\) | −3.82535 | + | 4.41469i | −0.132223 | + | 0.152594i | ||||
\(838\) | −9.10058 | + | 5.84859i | −0.314374 | + | 0.202036i | ||||
\(839\) | 0.307806 | + | 2.14084i | 0.0106267 | + | 0.0739100i | 0.994445 | − | 0.105261i | \(-0.0335677\pi\) |
−0.983818 | + | 0.179171i | \(0.942659\pi\) | |||||||
\(840\) | 0.257479 | + | 1.79081i | 0.00888388 | + | 0.0617887i | ||||
\(841\) | 66.0091 | − | 42.4215i | 2.27618 | − | 1.46281i | ||||
\(842\) | −8.91837 | + | 10.2924i | −0.307347 | + | 0.354698i | ||||
\(843\) | −1.50689 | + | 3.29964i | −0.0519002 | + | 0.113645i | ||||
\(844\) | −3.91760 | − | 2.51769i | −0.134850 | − | 0.0866625i | ||||
\(845\) | −27.8630 | + | 8.18131i | −0.958515 | + | 0.281446i | ||||
\(846\) | −2.26304 | − | 2.61169i | −0.0778051 | − | 0.0897918i | ||||
\(847\) | 6.45862 | + | 1.89642i | 0.221921 | + | 0.0651618i | ||||
\(848\) | 1.71683 | + | 3.75933i | 0.0589561 | + | 0.129096i | ||||
\(849\) | −1.16186 | + | 8.08093i | −0.0398750 | + | 0.277337i | ||||
\(850\) | −0.221983 | −0.00761394 | ||||||||
\(851\) | 1.86269 | + | 31.6859i | 0.0638520 | + | 1.08618i | ||||
\(852\) | −2.94950 | −0.101048 | ||||||||
\(853\) | 0.370028 | − | 2.57360i | 0.0126695 | − | 0.0881184i | −0.982506 | − | 0.186233i | \(-0.940372\pi\) |
0.995175 | + | 0.0981146i | \(0.0312812\pi\) | |||||||
\(854\) | −3.97146 | − | 8.69629i | −0.135901 | − | 0.297581i | ||||
\(855\) | 4.01390 | + | 1.17859i | 0.137272 | + | 0.0403068i | ||||
\(856\) | −2.77893 | − | 3.20706i | −0.0949820 | − | 0.109615i | ||||
\(857\) | −28.6744 | + | 8.41955i | −0.979498 | + | 0.287606i | −0.732017 | − | 0.681286i | \(-0.761421\pi\) |
−0.247481 | + | 0.968893i | \(0.579603\pi\) | |||||||
\(858\) | 9.36815 | + | 6.02055i | 0.319823 | + | 0.205538i | ||||
\(859\) | −7.92986 | + | 17.3640i | −0.270563 | + | 0.592451i | −0.995329 | − | 0.0965449i | \(-0.969221\pi\) |
0.724765 | + | 0.688996i | \(0.241948\pi\) | |||||||
\(860\) | 9.59303 | − | 11.0709i | 0.327119 | − | 0.377516i | ||||
\(861\) | −5.53871 | + | 3.55951i | −0.188759 | + | 0.121308i | ||||
\(862\) | 1.44863 | + | 10.0755i | 0.0493407 | + | 0.343172i | ||||
\(863\) | 6.64147 | + | 46.1924i | 0.226078 | + | 1.57241i | 0.714396 | + | 0.699742i | \(0.246702\pi\) |
−0.488318 | + | 0.872666i | \(0.662389\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | 19.3632 | − | 22.3463i | 0.658368 | − | 0.759797i | ||||
\(866\) | −10.2735 | + | 22.4958i | −0.349107 | + | 0.764439i | ||||
\(867\) | −14.2874 | − | 9.18196i | −0.485226 | − | 0.311836i | ||||
\(868\) | −5.60485 | + | 1.64573i | −0.190241 | + | 0.0558598i | ||||
\(869\) | −2.68564 | − | 3.09939i | −0.0911041 | − | 0.105140i | ||||
\(870\) | −17.9957 | − | 5.28400i | −0.610110 | − | 0.179144i | ||||
\(871\) | 19.1670 | + | 41.9699i | 0.649449 | + | 1.42210i | ||||
\(872\) | 1.84359 | − | 12.8225i | 0.0624319 | − | 0.434223i | ||||
\(873\) | 0.568768 | 0.0192499 | ||||||||
\(874\) | 3.74318 | + | 10.4382i | 0.126615 | + | 0.353079i | ||||
\(875\) | −12.1701 | −0.411425 | ||||||||
\(876\) | 1.69852 | − | 11.8135i | 0.0573878 | − | 0.399141i | ||||
\(877\) | 6.24729 | + | 13.6797i | 0.210956 | + | 0.461929i | 0.985299 | − | 0.170836i | \(-0.0546470\pi\) |
−0.774343 | + | 0.632766i | \(0.781920\pi\) | |||||||
\(878\) | −6.82894 | − | 2.00516i | −0.230466 | − | 0.0676708i | ||||
\(879\) | −0.274730 | − | 0.317055i | −0.00926641 | − | 0.0106940i | ||||
\(880\) | 3.58660 | − | 1.05312i | 0.120904 | − | 0.0355007i | ||||
\(881\) | 33.3749 | + | 21.4488i | 1.12443 | + | 0.722627i | 0.964390 | − | 0.264484i | \(-0.0852015\pi\) |
0.160039 | + | 0.987111i | \(0.448838\pi\) | |||||||
\(882\) | −0.415415 | + | 0.909632i | −0.0139878 | + | 0.0306289i | ||||
\(883\) | −25.5419 | + | 29.4769i | −0.859554 | + | 0.991978i | 0.140444 | + | 0.990089i | \(0.455147\pi\) |
−0.999998 | + | 0.00188962i | \(0.999399\pi\) | |||||||
\(884\) | −0.582914 | + | 0.374616i | −0.0196055 | + | 0.0125997i | ||||
\(885\) | 1.26363 | + | 8.78871i | 0.0424763 | + | 0.295429i | ||||
\(886\) | −5.42659 | − | 37.7427i | −0.182310 | − | 1.26799i | ||||
\(887\) | 29.3858 | − | 18.8851i | 0.986678 | − | 0.634100i | 0.0554215 | − | 0.998463i | \(-0.482350\pi\) |
0.931257 | + | 0.364363i | \(0.118713\pi\) | |||||||
\(888\) | −4.33411 | + | 5.00183i | −0.145443 | + | 0.167851i | ||||
\(889\) | 6.82658 | − | 14.9481i | 0.228956 | − | 0.501344i | ||||
\(890\) | −19.0248 | − | 12.2265i | −0.637711 | − | 0.409832i | ||||
\(891\) | 1.98240 | − | 0.582084i | 0.0664128 | − | 0.0195006i | ||||
\(892\) | −14.9691 | − | 17.2753i | −0.501202 | − | 0.578418i | ||||
\(893\) | −7.66688 | − | 2.25120i | −0.256562 | − | 0.0753335i | ||||
\(894\) | −5.76169 | − | 12.6163i | −0.192700 | − | 0.421954i | ||||
\(895\) | −1.65661 | + | 11.5220i | −0.0553745 | + | 0.385138i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −25.3258 | + | 5.17384i | −0.845605 | + | 0.172749i | ||||
\(898\) | 10.0787 | 0.336329 | ||||||||
\(899\) | 8.61800 | − | 59.9395i | 0.287426 | − | 1.99909i | ||||
\(900\) | −0.717302 | − | 1.57067i | −0.0239101 | − | 0.0523558i | ||||
\(901\) | 0.509783 | + | 0.149686i | 0.0169833 | + | 0.00498676i | ||||
\(902\) | 8.90798 | + | 10.2804i | 0.296603 | + | 0.342299i | ||||
\(903\) | 7.76884 | − | 2.28114i | 0.258531 | − | 0.0759115i | ||||
\(904\) | 0.581193 | + | 0.373510i | 0.0193302 | + | 0.0124228i | ||||
\(905\) | 13.2762 | − | 29.0708i | 0.441316 | − | 0.966347i | ||||
\(906\) | −11.1301 | + | 12.8448i | −0.369772 | + | 0.426739i | ||||
\(907\) | −40.6227 | + | 26.1066i | −1.34886 | + | 0.866857i | −0.997588 | − | 0.0694178i | \(-0.977886\pi\) |
−0.351268 | + | 0.936275i | \(0.614249\pi\) | |||||||
\(908\) | 1.52683 | + | 10.6193i | 0.0506696 | + | 0.352415i | ||||
\(909\) | 0.652256 | + | 4.53654i | 0.0216340 | + | 0.150467i | ||||
\(910\) | −8.20346 | + | 5.27204i | −0.271942 | + | 0.174767i | ||||
\(911\) | 2.11881 | − | 2.44524i | 0.0701994 | − | 0.0810145i | −0.719564 | − | 0.694427i | \(-0.755658\pi\) |
0.789763 | + | 0.613412i | \(0.210204\pi\) | |||||||
\(912\) | −0.960539 | + | 2.10329i | −0.0318066 | + | 0.0696468i | ||||
\(913\) | 10.9343 | + | 7.02702i | 0.361871 | + | 0.232561i | ||||
\(914\) | −3.30556 | + | 0.970600i | −0.109338 | + | 0.0321046i | ||||
\(915\) | −11.3269 | − | 13.0719i | −0.374454 | − | 0.432143i | ||||
\(916\) | −12.3434 | − | 3.62434i | −0.407836 | − | 0.119751i | ||||
\(917\) | −3.88234 | − | 8.50114i | −0.128206 | − | 0.280732i | ||||
\(918\) | −0.0182957 | + | 0.127249i | −0.000603848 | + | 0.00419986i | ||||
\(919\) | −38.2696 | −1.26240 | −0.631200 | − | 0.775621i | \(-0.717437\pi\) | ||||
−0.631200 | + | 0.775621i | \(0.717437\pi\) | |||||||
\(920\) | −4.25455 | + | 7.56204i | −0.140268 | + | 0.249313i | ||||
\(921\) | 7.63984 | 0.251741 | ||||||||
\(922\) | 0.509173 | − | 3.54138i | 0.0167687 | − | 0.116629i | ||||
\(923\) | −6.60403 | − | 14.4608i | −0.217374 | − | 0.475983i | ||||
\(924\) | 1.98240 | + | 0.582084i | 0.0652161 | + | 0.0191492i | ||||
\(925\) | −7.48377 | − | 8.63673i | −0.246065 | − | 0.283974i | ||||
\(926\) | −18.0556 | + | 5.30160i | −0.593344 | + | 0.174221i | ||||
\(927\) | −9.97355 | − | 6.40961i | −0.327574 | − | 0.210519i | ||||
\(928\) | 4.30642 | − | 9.42974i | 0.141365 | − | 0.309546i | ||||
\(929\) | 17.8291 | − | 20.5759i | 0.584955 | − | 0.675074i | −0.383708 | − | 0.923455i | \(-0.625353\pi\) |
0.968662 | + | 0.248381i | \(0.0798984\pi\) | |||||||
\(930\) | −8.89081 | + | 5.71378i | −0.291541 | + | 0.187362i | ||||
\(931\) | 0.329066 | + | 2.28870i | 0.0107847 | + | 0.0750092i | ||||
\(932\) | 3.03894 | + | 21.1363i | 0.0995439 | + | 0.692343i | ||||
\(933\) | 16.8022 | − | 10.7981i | 0.550078 | − | 0.353514i | ||||
\(934\) | 15.4515 | − | 17.8319i | 0.505588 | − | 0.583479i | ||||
\(935\) | 0.199628 | − | 0.437125i | 0.00652854 | − | 0.0142955i | ||||
\(936\) | −4.53425 | − | 2.91398i | −0.148206 | − | 0.0952465i | ||||
\(937\) | −56.5359 | + | 16.6004i | −1.84695 | + | 0.542313i | −0.847004 | + | 0.531586i | \(0.821596\pi\) |
−0.999942 | + | 0.0107267i | \(0.996586\pi\) | |||||||
\(938\) | 5.60587 | + | 6.46952i | 0.183038 | + | 0.211237i | ||||
\(939\) | −13.6871 | − | 4.01890i | −0.446662 | − | 0.131152i | ||||
\(940\) | −2.59728 | − | 5.68724i | −0.0847138 | − | 0.185497i | ||||
\(941\) | −0.559297 | + | 3.88999i | −0.0182325 | + | 0.126810i | −0.996905 | − | 0.0786175i | \(-0.974949\pi\) |
0.978672 | + | 0.205428i | \(0.0658585\pi\) | |||||||
\(942\) | 12.6670 | 0.412713 | ||||||||
\(943\) | −31.4636 | − | 2.65175i | −1.02460 | − | 0.0863530i | ||||
\(944\) | −4.90768 | −0.159731 | ||||||||
\(945\) | −0.257479 | + | 1.79081i | −0.00837580 | + | 0.0582550i | ||||
\(946\) | −6.94937 | − | 15.2170i | −0.225944 | − | 0.494748i | ||||
\(947\) | −5.56176 | − | 1.63308i | −0.180733 | − | 0.0530680i | 0.190114 | − | 0.981762i | \(-0.439114\pi\) |
−0.370847 | + | 0.928694i | \(0.620932\pi\) | |||||||
\(948\) | 1.29987 | + | 1.50013i | 0.0422177 | + | 0.0487218i | ||||
\(949\) | 61.7222 | − | 18.1233i | 2.00359 | − | 0.588306i | ||||
\(950\) | −3.35877 | − | 2.15855i | −0.108973 | − | 0.0700325i | ||||
\(951\) | 5.19246 | − | 11.3699i | 0.168377 | − | 0.368694i | ||||
\(952\) | −0.0841876 | + | 0.0971576i | −0.00272853 | + | 0.00314890i | ||||
\(953\) | −46.6806 | + | 29.9998i | −1.51213 | + | 0.971788i | −0.519002 | + | 0.854773i | \(0.673696\pi\) |
−0.993130 | + | 0.117015i | \(0.962667\pi\) | |||||||
\(954\) | 0.588159 | + | 4.09074i | 0.0190424 | + | 0.132442i | ||||
\(955\) | 1.26206 | + | 8.77781i | 0.0408393 | + | 0.284043i | ||||
\(956\) | −19.1976 | + | 12.3376i | −0.620896 | + | 0.399026i | ||||
\(957\) | −14.0259 | + | 16.1868i | −0.453394 | + | 0.523245i | ||||
\(958\) | 5.87567 | − | 12.8659i | 0.189834 | − | 0.415679i | ||||
\(959\) | −18.6160 | − | 11.9638i | −0.601143 | − | 0.386331i | ||||
\(960\) | −1.73594 | + | 0.509717i | −0.0560271 | + | 0.0164510i | ||||
\(961\) | −2.04500 | − | 2.36006i | −0.0659678 | − | 0.0761309i | ||||
\(962\) | −34.2272 | − | 10.0500i | −1.10353 | − | 0.324025i | ||||
\(963\) | −1.76283 | − | 3.86007i | −0.0568065 | − | 0.124389i | ||||
\(964\) | −1.26863 | + | 8.82348i | −0.0408597 | + | 0.284185i | ||||
\(965\) | −16.8877 | −0.543634 | ||||||||
\(966\) | −4.23801 | + | 2.24484i | −0.136356 | + | 0.0722264i | ||||
\(967\) | −43.2208 | −1.38989 | −0.694944 | − | 0.719063i | \(-0.744571\pi\) | ||||
−0.694944 | + | 0.719063i | \(0.744571\pi\) | |||||||
\(968\) | −0.957961 | + | 6.66276i | −0.0307900 | + | 0.214149i | ||||
\(969\) | 0.123485 | + | 0.270394i | 0.00396691 | + | 0.00868631i | ||||
\(970\) | 0.987345 | + | 0.289911i | 0.0317017 | + | 0.00930847i | ||||
\(971\) | 31.3796 | + | 36.2140i | 1.00702 | + | 1.16216i | 0.986730 | + | 0.162368i | \(0.0519130\pi\) |
0.0202885 | + | 0.999794i | \(0.493542\pi\) | |||||||
\(972\) | −0.959493 | + | 0.281733i | −0.0307758 | + | 0.00903658i | ||||
\(973\) | −13.5786 | − | 8.72642i | −0.435309 | − | 0.279756i | ||||
\(974\) | −0.419226 | + | 0.917977i | −0.0134329 | + | 0.0294139i | ||||
\(975\) | 6.09463 | − | 7.03358i | 0.195184 | − | 0.225255i | ||||
\(976\) | 8.04258 | − | 5.16865i | 0.257437 | − | 0.165444i | ||||
\(977\) | −4.00920 | − | 27.8846i | −0.128266 | − | 0.892107i | −0.947752 | − | 0.319008i | \(-0.896650\pi\) |
0.819486 | − | 0.573099i | \(-0.194259\pi\) | |||||||
\(978\) | 2.15142 | + | 14.9634i | 0.0687947 | + | 0.478478i | ||||
\(979\) | −21.7258 | + | 13.9623i | −0.694360 | + | 0.446238i | ||||
\(980\) | −1.18479 | + | 1.36732i | −0.0378467 | + | 0.0436774i | ||||
\(981\) | 5.38142 | − | 11.7837i | 0.171816 | − | 0.376223i | ||||
\(982\) | −6.57137 | − | 4.22316i | −0.209701 | − | 0.134766i | ||||
\(983\) | −32.0853 | + | 9.42108i | −1.02336 | + | 0.300486i | −0.750009 | − | 0.661428i | \(-0.769951\pi\) |
−0.273352 | + | 0.961914i | \(0.588132\pi\) | |||||||
\(984\) | −4.31152 | − | 4.97576i | −0.137446 | − | 0.158621i | ||||
\(985\) | 38.2743 | + | 11.2383i | 1.21952 | + | 0.358083i | ||||
\(986\) | −0.553624 | − | 1.21227i | −0.0176310 | − | 0.0386065i | ||||
\(987\) | 0.491807 | − | 3.42059i | 0.0156544 | − | 0.108879i | ||||
\(988\) | −12.4627 | −0.396490 | ||||||||
\(989\) | 36.2077 | + | 14.0303i | 1.15134 | + | 0.446138i | ||||
\(990\) | 3.73801 | 0.118802 | ||||||||
\(991\) | −4.67433 | + | 32.5107i | −0.148485 | + | 1.03274i | 0.770216 | + | 0.637783i | \(0.220148\pi\) |
−0.918701 | + | 0.394953i | \(0.870761\pi\) | |||||||
\(992\) | −2.42664 | − | 5.31359i | −0.0770458 | − | 0.168707i | ||||
\(993\) | 9.61920 | + | 2.82445i | 0.305256 | + | 0.0896313i | ||||
\(994\) | −1.93151 | − | 2.22909i | −0.0612639 | − | 0.0707023i | ||||
\(995\) | 39.9963 | − | 11.7440i | 1.26797 | − | 0.372309i | ||||
\(996\) | −5.29225 | − | 3.40112i | −0.167691 | − | 0.107769i | ||||
\(997\) | −1.00407 | + | 2.19860i | −0.0317991 | + | 0.0696302i | −0.924865 | − | 0.380296i | \(-0.875822\pi\) |
0.893066 | + | 0.449926i | \(0.148550\pi\) | |||||||
\(998\) | 8.28925 | − | 9.56630i | 0.262392 | − | 0.302816i | ||||
\(999\) | −5.56773 | + | 3.57816i | −0.176155 | + | 0.113208i |
(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.q.e.169.1 | ✓ | 20 | |
23.3 | even | 11 | inner | 966.2.q.e.463.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.e.169.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
966.2.q.e.463.1 | yes | 20 | 23.3 | even | 11 | inner |