Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.6 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31237 | − | 0.526966i | −0.927984 | − | 0.372621i | ||||
\(3\) | 1.34553 | − | 1.09066i | 0.776842 | − | 0.629695i | ||||
\(4\) | 1.44461 | + | 1.38314i | 0.722307 | + | 0.691572i | ||||
\(5\) | 0.197197 | + | 1.49786i | 0.0881890 | + | 0.669862i | 0.977253 | + | 0.212078i | \(0.0680232\pi\) |
−0.889064 | + | 0.457784i | \(0.848643\pi\) | |||||||
\(6\) | −2.34057 | + | 0.722304i | −0.955535 | + | 0.294879i | ||||
\(7\) | −0.749169 | − | 2.79594i | −0.283159 | − | 1.05677i | −0.950174 | − | 0.311721i | \(-0.899095\pi\) |
0.667014 | − | 0.745045i | \(-0.267572\pi\) | |||||||
\(8\) | −1.16699 | − | 2.57646i | −0.412595 | − | 0.910915i | ||||
\(9\) | 0.620902 | − | 2.93504i | 0.206967 | − | 0.978348i | ||||
\(10\) | 0.530525 | − | 2.06965i | 0.167767 | − | 0.654482i | ||||
\(11\) | −2.13008 | + | 1.63447i | −0.642243 | + | 0.492811i | −0.877786 | − | 0.479053i | \(-0.840980\pi\) |
0.235542 | + | 0.971864i | \(0.424313\pi\) | |||||||
\(12\) | 3.45232 | + | 0.285474i | 0.996599 | + | 0.0824091i | ||||
\(13\) | 3.66441 | − | 4.77555i | 1.01632 | − | 1.32450i | 0.0713167 | − | 0.997454i | \(-0.477280\pi\) |
0.945008 | − | 0.327047i | \(-0.106053\pi\) | |||||||
\(14\) | −0.490179 | + | 4.06408i | −0.131006 | + | 1.08617i | ||||
\(15\) | 1.89899 | + | 1.80034i | 0.490318 | + | 0.464845i | ||||
\(16\) | 0.173820 | + | 3.99622i | 0.0434550 | + | 0.999055i | ||||
\(17\) | 6.71770 | 1.62928 | 0.814641 | − | 0.579966i | \(-0.196934\pi\) | ||||
0.814641 | + | 0.579966i | \(0.196934\pi\) | |||||||
\(18\) | −2.36152 | + | 3.52466i | −0.556615 | + | 0.830770i | ||||
\(19\) | 0.341097 | − | 0.141287i | 0.0782530 | − | 0.0324134i | −0.343214 | − | 0.939257i | \(-0.611515\pi\) |
0.421467 | + | 0.906844i | \(0.361515\pi\) | |||||||
\(20\) | −1.78688 | + | 2.43658i | −0.399559 | + | 0.544835i | ||||
\(21\) | −4.05746 | − | 2.94493i | −0.885411 | − | 0.642636i | ||||
\(22\) | 3.65676 | − | 1.02254i | 0.779623 | − | 0.218007i | ||||
\(23\) | −1.19267 | − | 0.319575i | −0.248689 | − | 0.0666359i | 0.132321 | − | 0.991207i | \(-0.457757\pi\) |
−0.381010 | + | 0.924571i | \(0.624424\pi\) | |||||||
\(24\) | −4.38027 | − | 2.19390i | −0.894120 | − | 0.447828i | ||||
\(25\) | 2.62494 | − | 0.703350i | 0.524988 | − | 0.140670i | ||||
\(26\) | −7.32561 | + | 4.33626i | −1.43667 | + | 0.850411i | ||||
\(27\) | −2.36571 | − | 4.62638i | −0.455280 | − | 0.890348i | ||||
\(28\) | 2.78493 | − | 5.07526i | 0.526302 | − | 0.959134i | ||||
\(29\) | −4.33716 | − | 0.570998i | −0.805391 | − | 0.106032i | −0.283421 | − | 0.958996i | \(-0.591469\pi\) |
−0.521970 | + | 0.852964i | \(0.674803\pi\) | |||||||
\(30\) | −1.54346 | − | 3.36341i | −0.281796 | − | 0.614071i | ||||
\(31\) | −2.61091 | + | 1.50741i | −0.468933 | + | 0.270739i | −0.715793 | − | 0.698312i | \(-0.753935\pi\) |
0.246860 | + | 0.969051i | \(0.420601\pi\) | |||||||
\(32\) | 1.87776 | − | 5.33611i | 0.331944 | − | 0.943299i | ||||
\(33\) | −1.08343 | + | 4.52243i | −0.188601 | + | 0.787254i | ||||
\(34\) | −8.81608 | − | 3.54000i | −1.51195 | − | 0.607104i | ||||
\(35\) | 4.04018 | − | 1.67350i | 0.682916 | − | 0.282873i | ||||
\(36\) | 4.95655 | − | 3.38121i | 0.826092 | − | 0.563535i | ||||
\(37\) | −1.12563 | + | 2.71752i | −0.185053 | + | 0.446757i | −0.988995 | − | 0.147951i | \(-0.952732\pi\) |
0.803942 | + | 0.594708i | \(0.202732\pi\) | |||||||
\(38\) | −0.522098 | + | 0.00567395i | −0.0846954 | + | 0.000920437i | ||||
\(39\) | −0.277952 | − | 10.4223i | −0.0445079 | − | 1.66890i | ||||
\(40\) | 3.62904 | − | 2.25606i | 0.573801 | − | 0.356714i | ||||
\(41\) | −0.617779 | + | 2.30558i | −0.0964809 | + | 0.360071i | −0.997240 | − | 0.0742479i | \(-0.976344\pi\) |
0.900759 | + | 0.434319i | \(0.143011\pi\) | |||||||
\(42\) | 3.77300 | + | 6.00297i | 0.582187 | + | 0.926278i | ||||
\(43\) | 4.06261 | + | 5.29450i | 0.619542 | + | 0.807403i | 0.992731 | − | 0.120352i | \(-0.0384024\pi\) |
−0.373189 | + | 0.927755i | \(0.621736\pi\) | |||||||
\(44\) | −5.33785 | − | 0.585034i | −0.804711 | − | 0.0881972i | ||||
\(45\) | 4.51872 | + | 0.351242i | 0.673610 | + | 0.0523600i | ||||
\(46\) | 1.39681 | + | 1.04790i | 0.205949 | + | 0.154504i | ||||
\(47\) | −7.66225 | − | 4.42380i | −1.11765 | − | 0.645278i | −0.176853 | − | 0.984237i | \(-0.556592\pi\) |
−0.940801 | + | 0.338959i | \(0.889925\pi\) | |||||||
\(48\) | 4.59242 | + | 5.18746i | 0.662858 | + | 0.748745i | ||||
\(49\) | −1.19384 | + | 0.689264i | −0.170549 | + | 0.0984662i | ||||
\(50\) | −3.81552 | − | 0.460199i | −0.539597 | − | 0.0650820i | ||||
\(51\) | 9.03886 | − | 7.32675i | 1.26569 | − | 1.02595i | ||||
\(52\) | 11.8989 | − | 1.83042i | 1.65009 | − | 0.253834i | ||||
\(53\) | −4.18058 | + | 10.0928i | −0.574247 | + | 1.38636i | 0.323661 | + | 0.946173i | \(0.395086\pi\) |
−0.897909 | + | 0.440182i | \(0.854914\pi\) | |||||||
\(54\) | 0.666728 | + | 7.31816i | 0.0907302 | + | 0.995876i | ||||
\(55\) | −2.86824 | − | 2.86824i | −0.386754 | − | 0.386754i | ||||
\(56\) | −6.32934 | + | 5.19305i | −0.845793 | + | 0.693950i | ||||
\(57\) | 0.304859 | − | 0.562128i | 0.0403796 | − | 0.0744557i | ||||
\(58\) | 5.39105 | + | 3.03489i | 0.707880 | + | 0.398501i | ||||
\(59\) | 11.3742 | − | 1.49744i | 1.48079 | − | 0.194949i | 0.653585 | − | 0.756853i | \(-0.273264\pi\) |
0.827203 | + | 0.561903i | \(0.189931\pi\) | |||||||
\(60\) | 0.253187 | + | 5.22738i | 0.0326863 | + | 0.674851i | ||||
\(61\) | −0.560911 | + | 4.26054i | −0.0718173 | + | 0.545506i | 0.917280 | + | 0.398243i | \(0.130380\pi\) |
−0.989097 | + | 0.147264i | \(0.952953\pi\) | |||||||
\(62\) | 4.22082 | − | 0.602414i | 0.536045 | − | 0.0765067i | ||||
\(63\) | −8.67136 | + | 0.462842i | −1.09249 | + | 0.0583126i | ||||
\(64\) | −5.27625 | + | 6.01342i | −0.659531 | + | 0.751677i | ||||
\(65\) | 7.87571 | + | 4.54704i | 0.976861 | + | 0.563991i | ||||
\(66\) | 3.80502 | − | 5.36416i | 0.468366 | − | 0.660282i | ||||
\(67\) | −9.36140 | + | 12.2000i | −1.14368 | + | 1.49047i | −0.299744 | + | 0.954020i | \(0.596901\pi\) |
−0.843933 | + | 0.536449i | \(0.819765\pi\) | |||||||
\(68\) | 9.70448 | + | 9.29155i | 1.17684 | + | 1.12677i | ||||
\(69\) | −1.95332 | + | 0.870805i | −0.235152 | + | 0.104833i | ||||
\(70\) | −6.18408 | + | 0.0672062i | −0.739139 | + | 0.00803267i | ||||
\(71\) | −0.817505 | − | 0.817505i | −0.0970199 | − | 0.0970199i | 0.656931 | − | 0.753951i | \(-0.271854\pi\) |
−0.753951 | + | 0.656931i | \(0.771854\pi\) | |||||||
\(72\) | −8.28660 | + | 1.82545i | −0.976585 | + | 0.215132i | ||||
\(73\) | −5.70168 | + | 5.70168i | −0.667331 | + | 0.667331i | −0.957097 | − | 0.289767i | \(-0.906422\pi\) |
0.289767 | + | 0.957097i | \(0.406422\pi\) | |||||||
\(74\) | 2.90928 | − | 2.97321i | 0.338197 | − | 0.345629i | ||||
\(75\) | 2.76481 | − | 3.80931i | 0.319253 | − | 0.439861i | ||||
\(76\) | 0.688174 | + | 0.267681i | 0.0789389 | + | 0.0307051i | ||||
\(77\) | 6.16566 | + | 4.73108i | 0.702643 | + | 0.539157i | ||||
\(78\) | −5.12742 | + | 13.8243i | −0.580566 | + | 1.56530i | ||||
\(79\) | −1.89149 | + | 3.27615i | −0.212809 | + | 0.368596i | −0.952593 | − | 0.304249i | \(-0.901595\pi\) |
0.739784 | + | 0.672845i | \(0.234928\pi\) | |||||||
\(80\) | −5.95149 | + | 1.04840i | −0.665397 | + | 0.117215i | ||||
\(81\) | −8.22896 | − | 3.64475i | −0.914329 | − | 0.404972i | ||||
\(82\) | 2.02572 | − | 2.70022i | 0.223703 | − | 0.298190i | ||||
\(83\) | −0.820020 | − | 0.107958i | −0.0900089 | − | 0.0118499i | 0.0853872 | − | 0.996348i | \(-0.472787\pi\) |
−0.175396 | + | 0.984498i | \(0.556121\pi\) | |||||||
\(84\) | −1.78821 | − | 9.86634i | −0.195109 | − | 1.07651i | ||||
\(85\) | 1.32471 | + | 10.0622i | 0.143685 | + | 1.09139i | ||||
\(86\) | −2.54162 | − | 9.08918i | −0.274070 | − | 0.980111i | ||||
\(87\) | −6.45855 | + | 3.96209i | −0.692429 | + | 0.424781i | ||||
\(88\) | 6.69693 | + | 3.58064i | 0.713895 | + | 0.381698i | ||||
\(89\) | −4.98702 | + | 4.98702i | −0.528623 | + | 0.528623i | −0.920162 | − | 0.391539i | \(-0.871943\pi\) |
0.391539 | + | 0.920162i | \(0.371943\pi\) | |||||||
\(90\) | −5.74512 | − | 2.84217i | −0.605589 | − | 0.299591i | ||||
\(91\) | −16.0974 | − | 6.66777i | −1.68747 | − | 0.698972i | ||||
\(92\) | −1.28093 | − | 2.11130i | −0.133546 | − | 0.220118i | ||||
\(93\) | −1.86898 | + | 4.87589i | −0.193804 | + | 0.505606i | ||||
\(94\) | 7.72449 | + | 9.84340i | 0.796721 | + | 1.01527i | ||||
\(95\) | 0.278891 | + | 0.483053i | 0.0286136 | + | 0.0495602i | ||||
\(96\) | −3.29332 | − | 9.22789i | −0.336124 | − | 0.941818i | ||||
\(97\) | 9.22126 | − | 15.9717i | 0.936277 | − | 1.62168i | 0.163937 | − | 0.986471i | \(-0.447581\pi\) |
0.772340 | − | 0.635209i | \(-0.219086\pi\) | |||||||
\(98\) | 1.92997 | − | 0.275454i | 0.194957 | − | 0.0278251i | ||||
\(99\) | 3.47466 | + | 7.26672i | 0.349217 | + | 0.730333i | ||||
\(100\) | 4.76486 | + | 2.61460i | 0.476486 | + | 0.261460i | ||||
\(101\) | 13.6386 | − | 10.4653i | 1.35710 | − | 1.04134i | 0.363119 | − | 0.931743i | \(-0.381712\pi\) |
0.993977 | − | 0.109593i | \(-0.0349548\pi\) | |||||||
\(102\) | −15.7233 | + | 4.85222i | −1.55683 | + | 0.480441i | ||||
\(103\) | 5.40564 | + | 1.44844i | 0.532634 | + | 0.142719i | 0.515104 | − | 0.857128i | \(-0.327753\pi\) |
0.0175296 | + | 0.999846i | \(0.494420\pi\) | |||||||
\(104\) | −16.5804 | − | 3.86815i | −1.62584 | − | 0.379304i | ||||
\(105\) | 3.61096 | − | 6.65823i | 0.352394 | − | 0.649776i | ||||
\(106\) | 10.8050 | − | 11.0425i | 1.04948 | − | 1.07254i | ||||
\(107\) | 8.60194 | + | 3.56304i | 0.831581 | + | 0.344452i | 0.757528 | − | 0.652802i | \(-0.226407\pi\) |
0.0740527 | + | 0.997254i | \(0.476407\pi\) | |||||||
\(108\) | 2.98143 | − | 9.95545i | 0.286888 | − | 0.957964i | ||||
\(109\) | 6.93523 | + | 16.7431i | 0.664275 | + | 1.60370i | 0.791037 | + | 0.611768i | \(0.209541\pi\) |
−0.126762 | + | 0.991933i | \(0.540459\pi\) | |||||||
\(110\) | 2.25272 | + | 5.27566i | 0.214789 | + | 0.503014i | ||||
\(111\) | 1.44933 | + | 4.88419i | 0.137564 | + | 0.463587i | ||||
\(112\) | 11.0430 | − | 3.47984i | 1.04346 | − | 0.328814i | ||||
\(113\) | 2.16349 | + | 3.74728i | 0.203524 | + | 0.352514i | 0.949662 | − | 0.313278i | \(-0.101427\pi\) |
−0.746137 | + | 0.665792i | \(0.768094\pi\) | |||||||
\(114\) | −0.696310 | + | 0.577068i | −0.0652154 | + | 0.0540473i | ||||
\(115\) | 0.243487 | − | 1.84947i | 0.0227053 | − | 0.172464i | ||||
\(116\) | −5.47575 | − | 6.82379i | −0.508411 | − | 0.633573i | ||||
\(117\) | −11.7412 | − | 13.7204i | −1.08548 | − | 1.26845i | ||||
\(118\) | −15.7162 | − | 4.02860i | −1.44679 | − | 0.370863i | ||||
\(119\) | −5.03269 | − | 18.7823i | −0.461346 | − | 1.72177i | ||||
\(120\) | 2.42237 | − | 6.99366i | 0.221131 | − | 0.638431i | ||||
\(121\) | −0.981254 | + | 3.66209i | −0.0892049 | + | 0.332917i | ||||
\(122\) | 2.98128 | − | 5.29581i | 0.269912 | − | 0.479460i | ||||
\(123\) | 1.68338 | + | 3.77602i | 0.151785 | + | 0.340472i | ||||
\(124\) | −5.85672 | − | 1.43364i | −0.525949 | − | 0.128745i | ||||
\(125\) | 4.46190 | + | 10.7720i | 0.399085 | + | 0.963476i | ||||
\(126\) | 11.6239 | + | 3.96209i | 1.03554 | + | 0.352971i | ||||
\(127\) | − | 8.32807i | − | 0.738997i | −0.929231 | − | 0.369498i | \(-0.879529\pi\) | ||
0.929231 | − | 0.369498i | \(-0.120471\pi\) | |||||||
\(128\) | 10.0932 | − | 5.11141i | 0.892125 | − | 0.451789i | ||||
\(129\) | 11.2409 | + | 2.69296i | 0.989704 | + | 0.237102i | ||||
\(130\) | −7.93968 | − | 10.1176i | −0.696356 | − | 0.887374i | ||||
\(131\) | 1.19309 | + | 0.915491i | 0.104241 | + | 0.0799868i | 0.659567 | − | 0.751646i | \(-0.270740\pi\) |
−0.555326 | + | 0.831633i | \(0.687406\pi\) | |||||||
\(132\) | −7.82031 | + | 5.03462i | −0.680671 | + | 0.438208i | ||||
\(133\) | −0.650569 | − | 0.847838i | −0.0564115 | − | 0.0735169i | ||||
\(134\) | 18.7146 | − | 11.0778i | 1.61669 | − | 0.956972i | ||||
\(135\) | 6.46316 | − | 4.45580i | 0.556260 | − | 0.383494i | ||||
\(136\) | −7.83951 | − | 17.3079i | −0.672233 | − | 1.48414i | ||||
\(137\) | −9.35926 | + | 2.50781i | −0.799616 | + | 0.214256i | −0.635415 | − | 0.772171i | \(-0.719171\pi\) |
−0.164201 | + | 0.986427i | \(0.552504\pi\) | |||||||
\(138\) | 3.02236 | − | 0.113482i | 0.257280 | − | 0.00966022i | ||||
\(139\) | −10.9662 | + | 1.44372i | −0.930139 | + | 0.122455i | −0.580344 | − | 0.814371i | \(-0.697082\pi\) |
−0.349795 | + | 0.936826i | \(0.613749\pi\) | |||||||
\(140\) | 8.15120 | + | 3.17060i | 0.688902 | + | 0.267965i | ||||
\(141\) | −15.1347 | + | 2.40459i | −1.27457 | + | 0.202503i | ||||
\(142\) | 0.642069 | + | 1.50366i | 0.0538812 | + | 0.126185i | ||||
\(143\) | 16.1617i | 1.35151i | ||||||||
\(144\) | 11.8370 | + | 1.97109i | 0.986417 | + | 0.164258i | ||||
\(145\) | − | 6.60905i | − | 0.548852i | ||||||
\(146\) | 10.4873 | − | 4.47810i | 0.867933 | − | 0.370610i | ||||
\(147\) | −0.854592 | + | 2.22950i | −0.0704855 | + | 0.183886i | ||||
\(148\) | −5.38483 | + | 2.36885i | −0.442630 | + | 0.194719i | ||||
\(149\) | −10.2630 | + | 1.35115i | −0.840780 | + | 0.110691i | −0.538602 | − | 0.842561i | \(-0.681047\pi\) |
−0.302179 | + | 0.953251i | \(0.597714\pi\) | |||||||
\(150\) | −5.63583 | + | 3.54225i | −0.460163 | + | 0.289223i | ||||
\(151\) | 1.45821 | − | 0.390726i | 0.118668 | − | 0.0317969i | −0.198997 | − | 0.980000i | \(-0.563768\pi\) |
0.317664 | + | 0.948203i | \(0.397102\pi\) | |||||||
\(152\) | −0.762077 | − | 0.713940i | −0.0618126 | − | 0.0579082i | ||||
\(153\) | 4.17103 | − | 19.7167i | 0.337208 | − | 1.59400i | ||||
\(154\) | −5.59850 | − | 9.45801i | −0.451140 | − | 0.762148i | ||||
\(155\) | −2.77275 | − | 3.61351i | −0.222712 | − | 0.290244i | ||||
\(156\) | 14.0140 | − | 15.4406i | 1.12202 | − | 1.23624i | ||||
\(157\) | −5.10990 | − | 3.92096i | −0.407814 | − | 0.312927i | 0.384404 | − | 0.923165i | \(-0.374407\pi\) |
−0.792218 | + | 0.610238i | \(0.791074\pi\) | |||||||
\(158\) | 4.20875 | − | 3.30276i | 0.334830 | − | 0.262754i | ||||
\(159\) | 5.38278 | + | 18.1398i | 0.426882 | + | 1.43858i | ||||
\(160\) | 8.36301 | + | 1.76035i | 0.661154 | + | 0.139168i | ||||
\(161\) | 3.57405i | 0.281674i | ||||||||
\(162\) | 8.87876 | + | 9.11963i | 0.697581 | + | 0.716506i | ||||
\(163\) | 5.12528 | + | 12.3735i | 0.401443 | + | 0.969168i | 0.987316 | + | 0.158766i | \(0.0507515\pi\) |
−0.585874 | + | 0.810403i | \(0.699248\pi\) | |||||||
\(164\) | −4.08141 | + | 2.47620i | −0.318704 | + | 0.193359i | ||||
\(165\) | −6.98760 | − | 0.731017i | −0.543984 | − | 0.0569096i | ||||
\(166\) | 1.01928 | + | 0.573803i | 0.0791113 | + | 0.0445357i | ||||
\(167\) | 6.18025 | − | 23.0650i | 0.478242 | − | 1.78482i | −0.130493 | − | 0.991449i | \(-0.541656\pi\) |
0.608735 | − | 0.793374i | \(-0.291677\pi\) | |||||||
\(168\) | −2.85244 | + | 13.8906i | −0.220071 | + | 1.07168i | ||||
\(169\) | −6.01336 | − | 22.4422i | −0.462566 | − | 1.72632i | ||||
\(170\) | 3.56391 | − | 13.9033i | 0.273339 | − | 1.06634i | ||||
\(171\) | −0.202896 | − | 1.08886i | −0.0155158 | − | 0.0832671i | ||||
\(172\) | −1.45415 | + | 13.2677i | −0.110878 | + | 1.01165i | ||||
\(173\) | −1.44523 | + | 10.9776i | −0.109879 | + | 0.834615i | 0.844403 | + | 0.535708i | \(0.179955\pi\) |
−0.954282 | + | 0.298907i | \(0.903378\pi\) | |||||||
\(174\) | 10.5639 | − | 1.79629i | 0.800845 | − | 0.136176i | ||||
\(175\) | −3.93305 | − | 6.81224i | −0.297311 | − | 0.514957i | ||||
\(176\) | −6.90195 | − | 8.22817i | −0.520254 | − | 0.620222i | ||||
\(177\) | 13.6711 | − | 14.4202i | 1.02758 | − | 1.08389i | ||||
\(178\) | 9.17279 | − | 3.91681i | 0.687530 | − | 0.293578i | ||||
\(179\) | −5.35065 | − | 12.9176i | −0.399927 | − | 0.965508i | −0.987683 | − | 0.156470i | \(-0.949988\pi\) |
0.587756 | − | 0.809038i | \(-0.300012\pi\) | |||||||
\(180\) | 6.04198 | + | 6.75745i | 0.450343 | + | 0.503670i | ||||
\(181\) | −12.7259 | − | 5.27125i | −0.945910 | − | 0.391809i | −0.144218 | − | 0.989546i | \(-0.546067\pi\) |
−0.801692 | + | 0.597737i | \(0.796067\pi\) | |||||||
\(182\) | 17.6120 | + | 17.2334i | 1.30549 | + | 1.27742i | ||||
\(183\) | 3.89210 | + | 6.34445i | 0.287712 | + | 0.468995i | ||||
\(184\) | 0.568467 | + | 3.44580i | 0.0419080 | + | 0.254028i | ||||
\(185\) | −4.29243 | − | 1.15015i | −0.315586 | − | 0.0845609i | ||||
\(186\) | 5.02221 | − | 5.41407i | 0.368247 | − | 0.396979i | ||||
\(187\) | −14.3092 | + | 10.9799i | −1.04639 | + | 0.802927i | ||||
\(188\) | −4.95024 | − | 16.9887i | −0.361033 | − | 1.23903i | ||||
\(189\) | −11.1628 | + | 10.0803i | −0.811972 | + | 0.733235i | ||||
\(190\) | −0.111455 | − | 0.780909i | −0.00808577 | − | 0.0566531i | ||||
\(191\) | 0.945335 | − | 1.63737i | 0.0684020 | − | 0.118476i | −0.829796 | − | 0.558067i | \(-0.811543\pi\) |
0.898198 | + | 0.439591i | \(0.144877\pi\) | |||||||
\(192\) | −0.540733 | + | 13.8459i | −0.0390240 | + | 0.999238i | ||||
\(193\) | −5.79542 | − | 10.0380i | −0.417164 | − | 0.722549i | 0.578489 | − | 0.815690i | \(-0.303642\pi\) |
−0.995653 | + | 0.0931413i | \(0.970309\pi\) | |||||||
\(194\) | −20.5182 | + | 16.1014i | −1.47312 | + | 1.15602i | ||||
\(195\) | 15.5563 | − | 2.47157i | 1.11401 | − | 0.176993i | ||||
\(196\) | −2.67799 | − | 0.655533i | −0.191285 | − | 0.0468238i | ||||
\(197\) | −2.20122 | − | 0.911774i | −0.156830 | − | 0.0649612i | 0.302887 | − | 0.953026i | \(-0.402049\pi\) |
−0.459718 | + | 0.888065i | \(0.652049\pi\) | |||||||
\(198\) | −0.730720 | − | 11.3676i | −0.0519300 | − | 0.807863i | ||||
\(199\) | −12.7954 | + | 12.7954i | −0.907044 | + | 0.907044i | −0.996033 | − | 0.0889888i | \(-0.971636\pi\) |
0.0889888 | + | 0.996033i | \(0.471636\pi\) | |||||||
\(200\) | −4.87544 | − | 5.94223i | −0.344746 | − | 0.420179i | ||||
\(201\) | 0.710078 | + | 26.6256i | 0.0500850 | + | 1.87803i | ||||
\(202\) | −23.4138 | + | 6.54721i | −1.64739 | + | 0.460660i | ||||
\(203\) | 1.65279 | + | 12.5542i | 0.116003 | + | 0.881133i | ||||
\(204\) | 23.1916 | + | 1.91773i | 1.62374 | + | 0.134268i | ||||
\(205\) | −3.57526 | − | 0.470692i | −0.249707 | − | 0.0328745i | ||||
\(206\) | −6.33091 | − | 4.74947i | −0.441095 | − | 0.330911i | ||||
\(207\) | −1.67850 | + | 3.30211i | −0.116664 | + | 0.229513i | ||||
\(208\) | 19.7211 | + | 13.8137i | 1.36741 | + | 0.957809i | ||||
\(209\) | −0.495635 | + | 0.858464i | −0.0342838 | + | 0.0593812i | ||||
\(210\) | −8.24757 | + | 6.83518i | −0.569136 | + | 0.471673i | ||||
\(211\) | 14.1770 | + | 10.8784i | 0.975985 | + | 0.748899i | 0.967969 | − | 0.251069i | \(-0.0807820\pi\) |
0.00801522 | + | 0.999968i | \(0.497449\pi\) | |||||||
\(212\) | −19.9992 | + | 8.79788i | −1.37355 | + | 0.604241i | ||||
\(213\) | −1.99160 | − | 0.208354i | −0.136462 | − | 0.0142762i | ||||
\(214\) | −9.41131 | − | 9.20895i | −0.643344 | − | 0.629511i | ||||
\(215\) | −7.12927 | + | 7.12927i | −0.486212 | + | 0.486212i | ||||
\(216\) | −9.15891 | + | 11.4941i | −0.623185 | + | 0.782074i | ||||
\(217\) | 6.17064 | + | 6.17064i | 0.418890 | + | 0.418890i | ||||
\(218\) | −0.278513 | − | 25.6278i | −0.0188633 | − | 1.73573i | ||||
\(219\) | −1.45316 | + | 13.8904i | −0.0981955 | + | 0.938626i | ||||
\(220\) | −0.176309 | − | 8.11070i | −0.0118867 | − | 0.546824i | ||||
\(221\) | 24.6164 | − | 32.0807i | 1.65588 | − | 2.15798i | ||||
\(222\) | 0.671751 | − | 7.17360i | 0.0450850 | − | 0.481460i | ||||
\(223\) | 8.05899 | + | 4.65286i | 0.539670 | + | 0.311579i | 0.744945 | − | 0.667126i | \(-0.232476\pi\) |
−0.205275 | + | 0.978704i | \(0.565809\pi\) | |||||||
\(224\) | −16.3262 | − | 1.25244i | −1.09084 | − | 0.0836823i | ||||
\(225\) | −0.434534 | − | 8.14102i | −0.0289689 | − | 0.542735i | ||||
\(226\) | −0.864609 | − | 6.05789i | −0.0575129 | − | 0.402965i | ||||
\(227\) | −1.57212 | + | 11.9414i | −0.104345 | + | 0.792579i | 0.856627 | + | 0.515935i | \(0.172556\pi\) |
−0.960973 | + | 0.276644i | \(0.910778\pi\) | |||||||
\(228\) | 1.21791 | − | 0.390393i | 0.0806580 | − | 0.0258544i | ||||
\(229\) | 18.3804 | − | 2.41983i | 1.21461 | − | 0.159907i | 0.504134 | − | 0.863625i | \(-0.331812\pi\) |
0.710479 | + | 0.703718i | \(0.248478\pi\) | |||||||
\(230\) | −1.29415 | + | 2.29887i | −0.0853337 | + | 0.151583i | ||||
\(231\) | 13.4561 | − | 0.358860i | 0.885347 | − | 0.0236113i | ||||
\(232\) | 3.59029 | + | 11.8409i | 0.235714 | + | 0.777390i | ||||
\(233\) | 0.300490 | + | 0.300490i | 0.0196857 | + | 0.0196857i | 0.716881 | − | 0.697195i | \(-0.245569\pi\) |
−0.697195 | + | 0.716881i | \(0.745569\pi\) | |||||||
\(234\) | 8.17863 | + | 24.1934i | 0.534654 | + | 1.58157i | ||||
\(235\) | 5.11526 | − | 12.3493i | 0.333683 | − | 0.805581i | ||||
\(236\) | 18.5024 | + | 13.5689i | 1.20441 | + | 0.883259i | ||||
\(237\) | 1.02813 | + | 6.47114i | 0.0667842 | + | 0.420346i | ||||
\(238\) | −3.29287 | + | 27.3013i | −0.213445 | + | 1.76968i | ||||
\(239\) | −4.28925 | + | 2.47640i | −0.277448 | + | 0.160185i | −0.632268 | − | 0.774750i | \(-0.717876\pi\) |
0.354819 | + | 0.934935i | \(0.384542\pi\) | |||||||
\(240\) | −6.86446 | + | 7.90174i | −0.443099 | + | 0.510055i | ||||
\(241\) | −15.3413 | − | 8.85732i | −0.988222 | − | 0.570550i | −0.0834799 | − | 0.996509i | \(-0.526603\pi\) |
−0.904742 | + | 0.425959i | \(0.859937\pi\) | |||||||
\(242\) | 3.21756 | − | 4.28892i | 0.206833 | − | 0.275702i | ||||
\(243\) | −15.0475 | + | 4.07092i | −0.965298 | + | 0.261150i | ||||
\(244\) | −6.70325 | + | 5.37902i | −0.429131 | + | 0.344356i | ||||
\(245\) | −1.26784 | − | 1.65228i | −0.0809993 | − | 0.105560i | ||||
\(246\) | −0.219375 | − | 5.84261i | −0.0139868 | − | 0.372511i | ||||
\(247\) | 0.575196 | − | 2.14666i | 0.0365988 | − | 0.136589i | ||||
\(248\) | 6.93069 | + | 4.96776i | 0.440099 | + | 0.315453i | ||||
\(249\) | −1.22111 | + | 0.749107i | −0.0773845 | + | 0.0474727i | ||||
\(250\) | −0.179186 | − | 16.4881i | −0.0113327 | − | 1.04280i | ||||
\(251\) | 8.48175 | − | 20.4768i | 0.535363 | − | 1.29248i | −0.392566 | − | 0.919724i | \(-0.628412\pi\) |
0.927929 | − | 0.372757i | \(-0.121588\pi\) | |||||||
\(252\) | −13.1669 | − | 11.3251i | −0.829440 | − | 0.713416i | ||||
\(253\) | 3.06282 | − | 1.26866i | 0.192558 | − | 0.0797600i | ||||
\(254\) | −4.38861 | + | 10.9295i | −0.275366 | + | 0.685777i | ||||
\(255\) | 12.7569 | + | 12.0941i | 0.798866 | + | 0.757363i | ||||
\(256\) | −15.9396 | + | 1.38925i | −0.996223 | + | 0.0868280i | ||||
\(257\) | 5.85009 | − | 3.37755i | 0.364919 | − | 0.210686i | −0.306318 | − | 0.951929i | \(-0.599097\pi\) |
0.671236 | + | 0.741244i | \(0.265764\pi\) | |||||||
\(258\) | −13.3331 | − | 9.45771i | −0.830080 | − | 0.588811i | ||||
\(259\) | 8.44131 | + | 1.11132i | 0.524517 | + | 0.0690540i | ||||
\(260\) | 5.08814 | + | 17.4620i | 0.315553 | + | 1.08295i | ||||
\(261\) | −4.36886 | + | 12.3752i | −0.270425 | + | 0.766007i | ||||
\(262\) | −1.08334 | − | 1.83018i | −0.0669290 | − | 0.113069i | ||||
\(263\) | −0.344402 | + | 0.0922822i | −0.0212367 | + | 0.00569036i | −0.269422 | − | 0.963022i | \(-0.586833\pi\) |
0.248185 | + | 0.968713i | \(0.420166\pi\) | |||||||
\(264\) | 12.9162 | − | 2.48624i | 0.794937 | − | 0.153017i | ||||
\(265\) | −15.9420 | − | 4.27165i | −0.979309 | − | 0.262405i | ||||
\(266\) | 0.407004 | + | 1.45550i | 0.0249550 | + | 0.0892425i | ||||
\(267\) | −1.27102 | + | 12.1494i | −0.0777851 | + | 0.743528i | ||||
\(268\) | −30.3980 | + | 4.67614i | −1.85685 | + | 0.285641i | ||||
\(269\) | −1.23156 | + | 0.510127i | −0.0750893 | + | 0.0311030i | −0.419912 | − | 0.907565i | \(-0.637939\pi\) |
0.344823 | + | 0.938668i | \(0.387939\pi\) | |||||||
\(270\) | −10.8301 | + | 2.44178i | −0.659098 | + | 0.148602i | ||||
\(271\) | 6.71395 | 0.407843 | 0.203922 | − | 0.978987i | \(-0.434631\pi\) | ||||
0.203922 | + | 0.978987i | \(0.434631\pi\) | |||||||
\(272\) | 1.16767 | + | 26.8454i | 0.0708005 | + | 1.62774i | ||||
\(273\) | −28.9319 | + | 8.58520i | −1.75104 | + | 0.519600i | ||||
\(274\) | 13.6043 | + | 1.64085i | 0.821867 | + | 0.0991273i | ||||
\(275\) | −4.44173 | + | 5.78857i | −0.267846 | + | 0.349064i | ||||
\(276\) | −4.02624 | − | 1.44375i | −0.242351 | − | 0.0869035i | ||||
\(277\) | 13.2460 | − | 10.1640i | 0.795874 | − | 0.610696i | −0.128706 | − | 0.991683i | \(-0.541082\pi\) |
0.924580 | + | 0.380987i | \(0.124416\pi\) | |||||||
\(278\) | 15.1524 | + | 3.88410i | 0.908783 | + | 0.232953i | ||||
\(279\) | 2.80319 | + | 8.59909i | 0.167823 | + | 0.514814i | ||||
\(280\) | −9.02657 | − | 8.45639i | −0.539440 | − | 0.505366i | ||||
\(281\) | −0.259775 | − | 0.969494i | −0.0154969 | − | 0.0578351i | 0.957744 | − | 0.287621i | \(-0.0928642\pi\) |
−0.973241 | + | 0.229785i | \(0.926198\pi\) | |||||||
\(282\) | 21.1294 | + | 4.81976i | 1.25824 | + | 0.287012i | ||||
\(283\) | 1.71165 | + | 13.0012i | 0.101747 | + | 0.772844i | 0.963913 | + | 0.266218i | \(0.0857741\pi\) |
−0.862166 | + | 0.506626i | \(0.830893\pi\) | |||||||
\(284\) | −0.0502514 | − | 2.31171i | −0.00298187 | − | 0.137175i | ||||
\(285\) | 0.902105 | + | 0.345786i | 0.0534361 | + | 0.0204826i | ||||
\(286\) | 8.51665 | − | 21.2100i | 0.503600 | − | 1.25418i | ||||
\(287\) | 6.90909 | 0.407831 | ||||||||
\(288\) | −14.4958 | − | 8.82449i | −0.854173 | − | 0.519988i | ||||
\(289\) | 28.1275 | 1.65456 | ||||||||
\(290\) | −3.48274 | + | 8.67350i | −0.204514 | + | 0.509325i | ||||
\(291\) | −5.01228 | − | 31.5477i | −0.293825 | − | 1.84936i | ||||
\(292\) | −16.1230 | + | 0.350478i | −0.943525 | + | 0.0205102i | ||||
\(293\) | −3.29546 | − | 25.0315i | −0.192523 | − | 1.46236i | −0.765845 | − | 0.643025i | \(-0.777679\pi\) |
0.573322 | − | 0.819330i | \(-0.305654\pi\) | |||||||
\(294\) | 2.29641 | − | 2.47559i | 0.133929 | − | 0.144379i | ||||
\(295\) | 4.48589 | + | 16.7416i | 0.261179 | + | 0.974732i | ||||
\(296\) | 8.31518 | − | 0.271184i | 0.483310 | − | 0.0157622i | ||||
\(297\) | 12.6008 | + | 5.98790i | 0.731174 | + | 0.347453i | ||||
\(298\) | 14.1809 | + | 3.63506i | 0.821476 | + | 0.210573i | ||||
\(299\) | −5.89658 | + | 4.52460i | −0.341008 | + | 0.261665i | ||||
\(300\) | 9.26291 | − | 1.67884i | 0.534795 | − | 0.0969278i | ||||
\(301\) | 11.7595 | − | 15.3253i | 0.677806 | − | 0.883335i | ||||
\(302\) | −2.11961 | − | 0.255651i | −0.121970 | − | 0.0147110i | ||||
\(303\) | 6.93707 | − | 28.9565i | 0.398524 | − | 1.66351i | ||||
\(304\) | 0.623903 | + | 1.33854i | 0.0357833 | + | 0.0767705i | ||||
\(305\) | −6.49229 | −0.371748 | ||||||||
\(306\) | −15.8640 | + | 23.6776i | −0.906883 | + | 1.35356i | ||||
\(307\) | 18.4151 | − | 7.62778i | 1.05101 | − | 0.435341i | 0.210755 | − | 0.977539i | \(-0.432408\pi\) |
0.840251 | + | 0.542198i | \(0.182408\pi\) | |||||||
\(308\) | 2.36324 | + | 15.3626i | 0.134658 | + | 0.875365i | ||||
\(309\) | 8.85322 | − | 3.94683i | 0.503642 | − | 0.224527i | ||||
\(310\) | 1.73466 | + | 6.20340i | 0.0985222 | + | 0.352329i | ||||
\(311\) | −12.5177 | − | 3.35412i | −0.709815 | − | 0.190194i | −0.114192 | − | 0.993459i | \(-0.536428\pi\) |
−0.595623 | + | 0.803264i | \(0.703095\pi\) | |||||||
\(312\) | −26.5282 | + | 12.8789i | −1.50186 | + | 0.729123i | ||||
\(313\) | −0.820365 | + | 0.219816i | −0.0463698 | + | 0.0124247i | −0.281929 | − | 0.959435i | \(-0.590974\pi\) |
0.235560 | + | 0.971860i | \(0.424308\pi\) | |||||||
\(314\) | 4.63985 | + | 7.83849i | 0.261842 | + | 0.442351i | ||||
\(315\) | −2.40323 | − | 12.8972i | −0.135407 | − | 0.726675i | ||||
\(316\) | −7.26386 | + | 2.11657i | −0.408624 | + | 0.119067i | ||||
\(317\) | 2.77277 | + | 0.365042i | 0.155734 | + | 0.0205028i | 0.207990 | − | 0.978131i | \(-0.433308\pi\) |
−0.0522559 | + | 0.998634i | \(0.516641\pi\) | |||||||
\(318\) | 2.49487 | − | 26.6426i | 0.139905 | − | 1.49404i | ||||
\(319\) | 10.1718 | − | 5.87268i | 0.569510 | − | 0.328807i | ||||
\(320\) | −10.0477 | − | 6.71724i | −0.561683 | − | 0.375505i | ||||
\(321\) | 15.4603 | − | 4.58765i | 0.862907 | − | 0.256058i | ||||
\(322\) | 1.88340 | − | 4.69046i | 0.104958 | − | 0.261389i | ||||
\(323\) | 2.29139 | − | 0.949123i | 0.127496 | − | 0.0528106i | ||||
\(324\) | −6.84646 | − | 16.6471i | −0.380359 | − | 0.924839i | ||||
\(325\) | 6.25997 | − | 15.1129i | 0.347241 | − | 0.838313i | ||||
\(326\) | −0.205826 | − | 18.9394i | −0.0113997 | − | 1.04896i | ||||
\(327\) | 27.5927 | + | 14.9644i | 1.52588 | + | 0.827532i | ||||
\(328\) | 6.66118 | − | 1.09892i | 0.367802 | − | 0.0606777i | ||||
\(329\) | −6.62836 | + | 24.7374i | −0.365433 | + | 1.36382i | ||||
\(330\) | 8.78508 | + | 4.64159i | 0.483603 | + | 0.255511i | ||||
\(331\) | −10.2094 | − | 13.3052i | −0.561160 | − | 0.731318i | 0.423482 | − | 0.905905i | \(-0.360808\pi\) |
−0.984642 | + | 0.174587i | \(0.944141\pi\) | |||||||
\(332\) | −1.03529 | − | 1.29016i | −0.0568190 | − | 0.0708069i | ||||
\(333\) | 7.27713 | + | 4.99110i | 0.398784 | + | 0.273510i | ||||
\(334\) | −20.2652 | + | 27.0130i | −1.10886 | + | 1.47808i | ||||
\(335\) | −20.1199 | − | 11.6162i | −1.09927 | − | 0.634663i | ||||
\(336\) | 11.0633 | − | 16.7264i | 0.603553 | − | 0.912500i | ||||
\(337\) | 19.1018 | − | 11.0284i | 1.04054 | − | 0.600755i | 0.120553 | − | 0.992707i | \(-0.461533\pi\) |
0.919986 | + | 0.391952i | \(0.128200\pi\) | |||||||
\(338\) | −3.93452 | + | 32.6212i | −0.214009 | + | 1.77436i | ||||
\(339\) | 6.99807 | + | 2.68243i | 0.380083 | + | 0.145690i | ||||
\(340\) | −12.0037 | + | 16.3682i | −0.650993 | + | 0.887690i | ||||
\(341\) | 3.09763 | − | 7.47835i | 0.167746 | − | 0.404975i | ||||
\(342\) | −0.307518 | + | 1.53590i | −0.0166287 | + | 0.0830521i | ||||
\(343\) | −11.5059 | − | 11.5059i | −0.621258 | − | 0.621258i | ||||
\(344\) | 8.89999 | − | 16.6458i | 0.479856 | − | 0.897480i | ||||
\(345\) | −1.68953 | − | 2.75408i | −0.0909612 | − | 0.148274i | ||||
\(346\) | 7.68152 | − | 13.6451i | 0.412961 | − | 0.733566i | ||||
\(347\) | −1.18577 | + | 0.156110i | −0.0636556 | + | 0.00838042i | −0.162287 | − | 0.986744i | \(-0.551887\pi\) |
0.0986311 | + | 0.995124i | \(0.468554\pi\) | |||||||
\(348\) | −14.8103 | − | 3.20941i | −0.793913 | − | 0.172043i | ||||
\(349\) | −4.01337 | + | 30.4846i | −0.214831 | + | 1.63180i | 0.455850 | + | 0.890056i | \(0.349335\pi\) |
−0.670681 | + | 0.741746i | \(0.733998\pi\) | |||||||
\(350\) | 1.57179 | + | 11.0127i | 0.0840155 | + | 0.588656i | ||||
\(351\) | −30.7625 | − | 5.65542i | −1.64198 | − | 0.301864i | ||||
\(352\) | 4.72192 | + | 14.4355i | 0.251679 | + | 0.769413i | ||||
\(353\) | −20.2790 | − | 11.7081i | −1.07934 | − | 0.623159i | −0.148624 | − | 0.988894i | \(-0.547484\pi\) |
−0.930719 | + | 0.365735i | \(0.880818\pi\) | |||||||
\(354\) | −25.5404 | + | 11.7204i | −1.35746 | + | 0.622935i | ||||
\(355\) | 1.06330 | − | 1.38571i | 0.0564339 | − | 0.0735461i | ||||
\(356\) | −14.1021 | + | 0.306548i | −0.747409 | + | 0.0162470i | ||||
\(357\) | −27.2568 | − | 19.7831i | −1.44258 | − | 1.04703i | ||||
\(358\) | 0.214877 | + | 19.7723i | 0.0113566 | + | 1.04500i | ||||
\(359\) | −7.96377 | − | 7.96377i | −0.420312 | − | 0.420312i | 0.464999 | − | 0.885311i | \(-0.346055\pi\) |
−0.885311 | + | 0.464999i | \(0.846055\pi\) | |||||||
\(360\) | −4.36836 | − | 12.0522i | −0.230233 | − | 0.635205i | ||||
\(361\) | −13.3386 | + | 13.3386i | −0.702034 | + | 0.702034i | ||||
\(362\) | 13.9233 | + | 13.6239i | 0.731793 | + | 0.716058i | ||||
\(363\) | 2.67380 | + | 5.99767i | 0.140338 | + | 0.314796i | ||||
\(364\) | −14.0321 | − | 31.8974i | −0.735480 | − | 1.67188i | ||||
\(365\) | −9.66465 | − | 7.41594i | −0.505871 | − | 0.388168i | ||||
\(366\) | −1.76455 | − | 10.3773i | −0.0922347 | − | 0.542428i | ||||
\(367\) | 6.43555 | − | 11.1467i | 0.335933 | − | 0.581853i | −0.647731 | − | 0.761870i | \(-0.724282\pi\) |
0.983664 | + | 0.180016i | \(0.0576151\pi\) | |||||||
\(368\) | 1.06978 | − | 4.82172i | 0.0557662 | − | 0.251349i | ||||
\(369\) | 6.38340 | + | 3.24475i | 0.332307 | + | 0.168915i | ||||
\(370\) | 5.02715 | + | 3.77138i | 0.261349 | + | 0.196065i | ||||
\(371\) | 31.3509 | + | 4.12742i | 1.62766 | + | 0.214285i | ||||
\(372\) | −9.44402 | + | 4.45871i | −0.489649 | + | 0.231173i | ||||
\(373\) | 0.540152 | + | 4.10286i | 0.0279680 | + | 0.212438i | 0.999723 | − | 0.0235559i | \(-0.00749878\pi\) |
−0.971755 | + | 0.235994i | \(0.924165\pi\) | |||||||
\(374\) | 24.5650 | − | 6.86913i | 1.27022 | − | 0.355194i | ||||
\(375\) | 17.7523 | + | 9.62759i | 0.916722 | + | 0.497167i | ||||
\(376\) | −2.45593 | + | 24.9040i | −0.126655 | + | 1.28433i | ||||
\(377\) | −18.6200 | + | 18.6200i | −0.958978 | + | 0.958978i | ||||
\(378\) | 19.9616 | − | 7.34667i | 1.02672 | − | 0.377872i | ||||
\(379\) | −33.8399 | − | 14.0169i | −1.73824 | − | 0.720001i | −0.998911 | − | 0.0466541i | \(-0.985144\pi\) |
−0.739326 | − | 0.673347i | \(-0.764856\pi\) | |||||||
\(380\) | −0.265243 | + | 1.08357i | −0.0136067 | + | 0.0555861i | ||||
\(381\) | −9.08313 | − | 11.2057i | −0.465343 | − | 0.574084i | ||||
\(382\) | −2.10346 | + | 1.65067i | −0.107623 | + | 0.0844556i | ||||
\(383\) | 11.3036 | + | 19.5784i | 0.577587 | + | 1.00041i | 0.995755 | + | 0.0920401i | \(0.0293388\pi\) |
−0.418169 | + | 0.908369i | \(0.637328\pi\) | |||||||
\(384\) | 8.00593 | − | 17.8859i | 0.408551 | − | 0.912736i | ||||
\(385\) | −5.87063 | + | 10.1682i | −0.299195 | + | 0.518221i | ||||
\(386\) | 2.31606 | + | 16.2275i | 0.117884 | + | 0.825957i | ||||
\(387\) | 18.0621 | − | 8.63657i | 0.918146 | − | 0.439022i | ||||
\(388\) | 35.4123 | − | 10.3186i | 1.79779 | − | 0.523847i | ||||
\(389\) | −24.3441 | + | 18.6799i | −1.23429 | + | 0.947107i | −0.999688 | − | 0.0249836i | \(-0.992047\pi\) |
−0.234606 | + | 0.972091i | \(0.575380\pi\) | |||||||
\(390\) | −21.7180 | − | 4.95403i | −1.09973 | − | 0.250857i | ||||
\(391\) | −8.01199 | − | 2.14681i | −0.405184 | − | 0.108569i | ||||
\(392\) | 3.16906 | + | 2.27151i | 0.160062 | + | 0.114729i | ||||
\(393\) | 2.60383 | − | 0.0694415i | 0.131346 | − | 0.00350286i | ||||
\(394\) | 2.40833 | + | 2.35655i | 0.121330 | + | 0.118721i | ||||
\(395\) | −5.28020 | − | 2.18713i | −0.265676 | − | 0.110047i | ||||
\(396\) | −5.03138 | + | 15.3036i | −0.252836 | + | 0.769034i | ||||
\(397\) | 0.613871 | + | 1.48201i | 0.0308093 | + | 0.0743802i | 0.938535 | − | 0.345183i | \(-0.112183\pi\) |
−0.907726 | + | 0.419563i | \(0.862183\pi\) | |||||||
\(398\) | 23.5351 | − | 10.0495i | 1.17971 | − | 0.503738i | ||||
\(399\) | −1.80007 | − | 0.431239i | −0.0901160 | − | 0.0215889i | ||||
\(400\) | 3.26701 | + | 10.3676i | 0.163351 | + | 0.518379i | ||||
\(401\) | 11.8405 | + | 20.5083i | 0.591285 | + | 1.02413i | 0.994060 | + | 0.108836i | \(0.0347123\pi\) |
−0.402775 | + | 0.915299i | \(0.631954\pi\) | |||||||
\(402\) | 13.0989 | − | 35.3168i | 0.653314 | − | 1.76144i | ||||
\(403\) | −2.36873 | + | 17.9923i | −0.117995 | + | 0.896261i | ||||
\(404\) | 34.1776 | + | 3.74590i | 1.70040 | + | 0.186365i | ||||
\(405\) | 3.83659 | − | 13.0445i | 0.190642 | − | 0.648189i | ||||
\(406\) | 4.44657 | − | 17.3467i | 0.220679 | − | 0.860902i | ||||
\(407\) | −2.04401 | − | 7.62835i | −0.101318 | − | 0.378123i | ||||
\(408\) | −29.4254 | − | 14.7380i | −1.45677 | − | 0.729638i | ||||
\(409\) | 4.56941 | − | 17.0533i | 0.225943 | − | 0.843230i | −0.756082 | − | 0.654477i | \(-0.772889\pi\) |
0.982025 | − | 0.188753i | \(-0.0604445\pi\) | |||||||
\(410\) | 4.44401 | + | 2.50176i | 0.219474 | + | 0.123553i | ||||
\(411\) | −9.85799 | + | 13.5821i | −0.486259 | + | 0.669958i | ||||
\(412\) | 5.80567 | + | 9.56922i | 0.286025 | + | 0.471442i | ||||
\(413\) | −12.7079 | − | 30.6796i | −0.625315 | − | 1.50964i | ||||
\(414\) | 3.94290 | − | 3.44907i | 0.193783 | − | 0.169513i | ||||
\(415\) | − | 1.24956i | − | 0.0613386i | ||||||
\(416\) | −18.6020 | − | 28.5210i | −0.912038 | − | 1.39836i | ||||
\(417\) | −13.1807 | + | 13.9030i | −0.645462 | + | 0.680833i | ||||
\(418\) | 1.10284 | − | 0.865438i | 0.0539415 | − | 0.0423299i | ||||
\(419\) | 5.25357 | + | 4.03121i | 0.256654 | + | 0.196937i | 0.729072 | − | 0.684437i | \(-0.239952\pi\) |
−0.472418 | + | 0.881375i | \(0.656619\pi\) | |||||||
\(420\) | 14.4257 | − | 4.62409i | 0.703904 | − | 0.225632i | ||||
\(421\) | 4.80144 | + | 6.25736i | 0.234008 | + | 0.304965i | 0.895566 | − | 0.444929i | \(-0.146771\pi\) |
−0.661558 | + | 0.749894i | \(0.730104\pi\) | |||||||
\(422\) | −12.8729 | − | 21.7472i | −0.626642 | − | 1.05864i | ||||
\(423\) | −17.7416 | + | 19.7423i | −0.862624 | + | 0.959903i | ||||
\(424\) | 30.8824 | − | 1.00717i | 1.49978 | − | 0.0489126i | ||||
\(425\) | 17.6335 | − | 4.72489i | 0.855353 | − | 0.229191i | ||||
\(426\) | 2.50392 | + | 1.32294i | 0.121315 | + | 0.0640967i | ||||
\(427\) | 12.3324 | − | 1.62359i | 0.596808 | − | 0.0785713i | ||||
\(428\) | 7.49829 | + | 17.0450i | 0.362443 | + | 0.823899i | ||||
\(429\) | 17.6270 | + | 21.7460i | 0.851038 | + | 1.04991i | ||||
\(430\) | 13.1131 | − | 5.59933i | 0.632370 | − | 0.270024i | ||||
\(431\) | − | 10.7560i | − | 0.518098i | −0.965864 | − | 0.259049i | \(-0.916591\pi\) | ||
0.965864 | − | 0.259049i | \(-0.0834091\pi\) | |||||||
\(432\) | 18.0769 | − | 10.2580i | 0.869723 | − | 0.493540i | ||||
\(433\) | − | 16.4622i | − | 0.791122i | −0.918440 | − | 0.395561i | \(-0.870550\pi\) | ||
0.918440 | − | 0.395561i | \(-0.129450\pi\) | |||||||
\(434\) | −4.84643 | − | 11.3499i | −0.232636 | − | 0.544810i | ||||
\(435\) | −7.20825 | − | 8.89267i | −0.345609 | − | 0.426371i | ||||
\(436\) | −13.1394 | + | 33.7798i | −0.629265 | + | 1.61776i | ||||
\(437\) | −0.451967 | + | 0.0595026i | −0.0216205 | + | 0.00284640i | ||||
\(438\) | 9.22684 | − | 17.4635i | 0.440875 | − | 0.834439i | ||||
\(439\) | 38.2364 | − | 10.2454i | 1.82492 | − | 0.488987i | 0.827548 | − | 0.561395i | \(-0.189735\pi\) |
0.997375 | + | 0.0724081i | \(0.0230684\pi\) | |||||||
\(440\) | −4.04268 | + | 10.7371i | −0.192727 | + | 0.511873i | ||||
\(441\) | 1.28176 | + | 3.93194i | 0.0610363 | + | 0.187235i | ||||
\(442\) | −49.2112 | + | 29.1297i | −2.34074 | + | 1.38556i | ||||
\(443\) | 4.24156 | + | 5.52771i | 0.201523 | + | 0.262629i | 0.883172 | − | 0.469050i | \(-0.155404\pi\) |
−0.681649 | + | 0.731679i | \(0.738737\pi\) | |||||||
\(444\) | −4.66183 | + | 9.06040i | −0.221240 | + | 0.429988i | ||||
\(445\) | −8.45327 | − | 6.48642i | −0.400723 | − | 0.307486i | ||||
\(446\) | −8.12445 | − | 10.3531i | −0.384704 | − | 0.490232i | ||||
\(447\) | −12.3356 | + | 13.0115i | −0.583452 | + | 0.615425i | ||||
\(448\) | 20.7659 | + | 10.2470i | 0.981099 | + | 0.484125i | ||||
\(449\) | 16.3082i | 0.769630i | 0.922994 | + | 0.384815i | \(0.125735\pi\) | ||||
−0.922994 | + | 0.384815i | \(0.874265\pi\) | |||||||
\(450\) | −3.71977 | + | 10.9130i | −0.175352 | + | 0.514443i | ||||
\(451\) | −2.45248 | − | 5.92081i | −0.115483 | − | 0.278800i | ||||
\(452\) | −2.05762 | + | 8.40580i | −0.0967822 | + | 0.395375i | ||||
\(453\) | 1.53592 | − | 2.11615i | 0.0721636 | − | 0.0994255i | ||||
\(454\) | 8.35591 | − | 14.8431i | 0.392162 | − | 0.696619i | ||||
\(455\) | 6.81301 | − | 25.4265i | 0.319399 | − | 1.19201i | ||||
\(456\) | −1.80407 | − | 0.129457i | −0.0844832 | − | 0.00606237i | ||||
\(457\) | 8.15093 | + | 30.4197i | 0.381284 | + | 1.42297i | 0.843942 | + | 0.536435i | \(0.180229\pi\) |
−0.462657 | + | 0.886537i | \(0.653104\pi\) | |||||||
\(458\) | −25.3970 | − | 6.51015i | −1.18673 | − | 0.304199i | ||||
\(459\) | −15.8921 | − | 31.0787i | −0.741780 | − | 1.45063i | ||||
\(460\) | 2.90983 | − | 2.33499i | 0.135671 | − | 0.108869i | ||||
\(461\) | 0.241886 | − | 1.83731i | 0.0112657 | − | 0.0855718i | −0.984888 | − | 0.173191i | \(-0.944592\pi\) |
0.996154 | + | 0.0876187i | \(0.0279257\pi\) | |||||||
\(462\) | −17.8485 | − | 6.61995i | −0.830385 | − | 0.307988i | ||||
\(463\) | 8.53857 | + | 14.7892i | 0.396821 | + | 0.687314i | 0.993332 | − | 0.115291i | \(-0.0367800\pi\) |
−0.596511 | + | 0.802605i | \(0.703447\pi\) | |||||||
\(464\) | 1.52795 | − | 17.4315i | 0.0709332 | − | 0.809237i | ||||
\(465\) | −7.67195 | − | 1.83795i | −0.355778 | − | 0.0852331i | ||||
\(466\) | −0.236005 | − | 0.552700i | −0.0109327 | − | 0.0256033i | ||||
\(467\) | 5.81612 | + | 14.0414i | 0.269138 | + | 0.649757i | 0.999443 | − | 0.0333642i | \(-0.0106221\pi\) |
−0.730305 | + | 0.683121i | \(0.760622\pi\) | |||||||
\(468\) | 2.01571 | − | 36.0604i | 0.0931763 | − | 1.66689i | ||||
\(469\) | 41.1238 | + | 17.0340i | 1.89892 | + | 0.786558i | ||||
\(470\) | −13.2208 | + | 13.5113i | −0.609828 | + | 0.623229i | ||||
\(471\) | −11.1520 | + | 0.297412i | −0.513856 | + | 0.0137040i | ||||
\(472\) | −17.1316 | − | 27.5575i | −0.788548 | − | 1.26844i | ||||
\(473\) | −17.3074 | − | 4.63750i | −0.795794 | − | 0.213232i | ||||
\(474\) | 2.06078 | − | 9.03430i | 0.0946550 | − | 0.414959i | ||||
\(475\) | 0.795984 | − | 0.610780i | 0.0365223 | − | 0.0280245i | ||||
\(476\) | 18.7083 | − | 34.0941i | 0.857494 | − | 1.56270i | ||||
\(477\) | 27.0271 | + | 18.5368i | 1.23749 | + | 0.848744i | ||||
\(478\) | 6.93405 | − | 0.989657i | 0.317156 | − | 0.0452659i | ||||
\(479\) | −10.6471 | + | 18.4413i | −0.486478 | + | 0.842605i | −0.999879 | − | 0.0155436i | \(-0.995052\pi\) |
0.513401 | + | 0.858149i | \(0.328385\pi\) | |||||||
\(480\) | 13.1726 | − | 6.75264i | 0.601246 | − | 0.308214i | ||||
\(481\) | 8.85288 | + | 15.3336i | 0.403656 | + | 0.699153i | ||||
\(482\) | 15.4660 | + | 19.7084i | 0.704455 | + | 0.897694i | ||||
\(483\) | 3.89808 | + | 4.80899i | 0.177369 | + | 0.218816i | ||||
\(484\) | −6.48273 | + | 3.93309i | −0.294670 | + | 0.178777i | ||||
\(485\) | 25.7417 | + | 10.6626i | 1.16887 | + | 0.484162i | ||||
\(486\) | 21.8931 | + | 2.58698i | 0.993091 | + | 0.117348i | ||||
\(487\) | 7.52400 | − | 7.52400i | 0.340945 | − | 0.340945i | −0.515778 | − | 0.856723i | \(-0.672497\pi\) |
0.856723 | + | 0.515778i | \(0.172497\pi\) | |||||||
\(488\) | 11.6317 | − | 3.52686i | 0.526541 | − | 0.159654i | ||||
\(489\) | 20.3916 | + | 11.0590i | 0.922139 | + | 0.500104i | ||||
\(490\) | 0.793176 | + | 2.83651i | 0.0358320 | + | 0.128140i | ||||
\(491\) | −3.26915 | − | 24.8317i | −0.147535 | − | 1.12064i | −0.891695 | − | 0.452637i | \(-0.850483\pi\) |
0.744160 | − | 0.668001i | \(-0.232850\pi\) | |||||||
\(492\) | −2.79095 | + | 7.78325i | −0.125826 | + | 0.350896i | ||||
\(493\) | −29.1357 | − | 3.83579i | −1.31221 | − | 0.172755i | ||||
\(494\) | −1.88608 | + | 2.51410i | −0.0848589 | + | 0.113115i | ||||
\(495\) | −10.1993 | + | 6.63752i | −0.458425 | + | 0.298335i | ||||
\(496\) | −6.47777 | − | 10.1718i | −0.290860 | − | 0.456725i | ||||
\(497\) | −1.67324 | + | 2.89814i | −0.0750552 | + | 0.129999i | ||||
\(498\) | 1.99729 | − | 0.339621i | 0.0895009 | − | 0.0152188i | ||||
\(499\) | −27.8158 | − | 21.3438i | −1.24521 | − | 0.955479i | −0.245303 | − | 0.969447i | \(-0.578887\pi\) |
−0.999902 | + | 0.0139671i | \(0.995554\pi\) | |||||||
\(500\) | −8.45349 | + | 21.7328i | −0.378052 | + | 0.971922i | ||||
\(501\) | −16.8405 | − | 37.7752i | −0.752377 | − | 1.68767i | ||||
\(502\) | −21.9217 | + | 22.4034i | −0.978414 | + | 0.999914i | ||||
\(503\) | −25.7127 | + | 25.7127i | −1.14647 | + | 1.14647i | −0.159233 | + | 0.987241i | \(0.550902\pi\) |
−0.987241 | + | 0.159233i | \(0.949098\pi\) | |||||||
\(504\) | 11.3119 | + | 21.8012i | 0.503873 | + | 0.971105i | ||||
\(505\) | 18.3650 | + | 18.3650i | 0.817232 | + | 0.817232i | ||||
\(506\) | −4.68808 | + | 0.0509482i | −0.208410 | + | 0.00226492i | ||||
\(507\) | −32.5680 | − | 23.6380i | −1.44640 | − | 1.04980i | ||||
\(508\) | 11.5189 | − | 12.0309i | 0.511070 | − | 0.533783i | ||||
\(509\) | 17.7383 | − | 23.1170i | 0.786235 | − | 1.02464i | −0.212635 | − | 0.977132i | \(-0.568205\pi\) |
0.998871 | − | 0.0475101i | \(-0.0151286\pi\) | |||||||
\(510\) | −10.3685 | − | 22.5944i | −0.459125 | − | 1.00049i | ||||
\(511\) | 20.2131 | + | 11.6700i | 0.894173 | + | 0.516251i | ||||
\(512\) | 21.6507 | + | 6.57641i | 0.956833 | + | 0.290639i | ||||
\(513\) | −1.46058 | − | 1.24380i | −0.0644863 | − | 0.0549152i | ||||
\(514\) | −9.45732 | + | 1.34979i | −0.417144 | + | 0.0595367i | ||||
\(515\) | −1.10358 | + | 8.38251i | −0.0486295 | + | 0.369378i | ||||
\(516\) | 12.5140 | + | 19.4381i | 0.550897 | + | 0.855713i | ||||
\(517\) | 23.5518 | − | 3.10065i | 1.03581 | − | 0.136366i | ||||
\(518\) | −10.4925 | − | 5.90674i | −0.461013 | − | 0.259527i | ||||
\(519\) | 10.0283 | + | 16.3470i | 0.440195 | + | 0.717554i | ||||
\(520\) | 2.52435 | − | 25.5978i | 0.110700 | − | 1.12254i | ||||
\(521\) | −21.3132 | − | 21.3132i | −0.933748 | − | 0.933748i | 0.0641895 | − | 0.997938i | \(-0.479554\pi\) |
−0.997938 | + | 0.0641895i | \(0.979554\pi\) | |||||||
\(522\) | 12.2549 | − | 13.9386i | 0.536381 | − | 0.610076i | ||||
\(523\) | 7.46445 | − | 18.0208i | 0.326398 | − | 0.787994i | −0.672456 | − | 0.740137i | \(-0.734761\pi\) |
0.998854 | − | 0.0478571i | \(-0.0152392\pi\) | |||||||
\(524\) | 0.457300 | + | 2.97275i | 0.0199772 | + | 0.129865i | ||||
\(525\) | −12.7219 | − | 4.87644i | −0.555229 | − | 0.212825i | ||||
\(526\) | 0.500611 | + | 0.0603798i | 0.0218277 | + | 0.00263269i | ||||
\(527\) | −17.5393 | + | 10.1263i | −0.764024 | + | 0.441109i | ||||
\(528\) | −18.2609 | − | 3.54354i | −0.794706 | − | 0.154213i | ||||
\(529\) | −18.5983 | − | 10.7377i | −0.808620 | − | 0.466857i | ||||
\(530\) | 18.6707 | + | 14.0069i | 0.811005 | + | 0.608419i | ||||
\(531\) | 2.66719 | − | 34.3134i | 0.115746 | − | 1.48907i | ||||
\(532\) | 0.232862 | − | 2.12463i | 0.0100958 | − | 0.0921144i | ||||
\(533\) | 8.74664 | + | 11.3988i | 0.378859 | + | 0.493738i | ||||
\(534\) | 8.07034 | − | 15.2746i | 0.349238 | − | 0.660998i | ||||
\(535\) | −3.64065 | + | 13.5871i | −0.157399 | + | 0.587422i | ||||
\(536\) | 42.3575 | + | 9.88189i | 1.82956 | + | 0.426833i | ||||
\(537\) | −21.2883 | − | 11.5453i | −0.918656 | − | 0.498216i | ||||
\(538\) | 1.88507 | − | 0.0204862i | 0.0812712 | − | 0.000883224i | ||||
\(539\) | 1.41639 | − | 3.41948i | 0.0610084 | − | 0.147287i | ||||
\(540\) | 15.4998 | + | 2.50257i | 0.667004 | + | 0.107694i | ||||
\(541\) | −18.4185 | + | 7.62921i | −0.791875 | + | 0.328005i | −0.741697 | − | 0.670735i | \(-0.765979\pi\) |
−0.0501777 | + | 0.998740i | \(0.515979\pi\) | |||||||
\(542\) | −8.81116 | − | 3.53802i | −0.378472 | − | 0.151971i | ||||
\(543\) | −22.8723 | + | 6.78708i | −0.981543 | + | 0.291262i | ||||
\(544\) | 12.6142 | − | 35.8464i | 0.540829 | − | 1.53690i | ||||
\(545\) | −23.7112 | + | 13.6897i | −1.01568 | + | 0.586401i | ||||
\(546\) | 42.4933 | + | 3.97917i | 1.81855 | + | 0.170293i | ||||
\(547\) | −27.2337 | − | 3.58538i | −1.16443 | − | 0.153300i | −0.476564 | − | 0.879140i | \(-0.658118\pi\) |
−0.687864 | + | 0.725840i | \(0.741451\pi\) | |||||||
\(548\) | −16.9892 | − | 9.32240i | −0.725742 | − | 0.398233i | ||||
\(549\) | 12.1566 | + | 4.29168i | 0.518831 | + | 0.183164i | ||||
\(550\) | 8.87955 | − | 5.25609i | 0.378625 | − | 0.224121i | ||||
\(551\) | −1.56007 | + | 0.418019i | −0.0664611 | + | 0.0178082i | ||||
\(552\) | 4.52310 | + | 4.01642i | 0.192516 | + | 0.170950i | ||||
\(553\) | 10.5770 | + | 2.83409i | 0.449778 | + | 0.120518i | ||||
\(554\) | −22.7397 | + | 6.35872i | −0.966116 | + | 0.270156i | ||||
\(555\) | −7.03002 | + | 3.13403i | −0.298408 | + | 0.133032i | ||||
\(556\) | −17.8388 | − | 13.0822i | −0.756533 | − | 0.554808i | ||||
\(557\) | 14.5523 | − | 6.02776i | 0.616600 | − | 0.255404i | −0.0524474 | − | 0.998624i | \(-0.516702\pi\) |
0.669048 | + | 0.743219i | \(0.266702\pi\) | |||||||
\(558\) | 0.852606 | − | 12.7623i | 0.0360937 | − | 0.540273i | ||||
\(559\) | 40.1712 | 1.69906 | ||||||||
\(560\) | 7.38994 | + | 15.8546i | 0.312282 | + | 0.669978i | ||||
\(561\) | −7.27816 | + | 30.3803i | −0.307284 | + | 1.28266i | ||||
\(562\) | −0.169970 | + | 1.40922i | −0.00716974 | + | 0.0594445i | ||||
\(563\) | −3.28829 | + | 4.28538i | −0.138585 | + | 0.180607i | −0.857490 | − | 0.514501i | \(-0.827977\pi\) |
0.718905 | + | 0.695109i | \(0.244644\pi\) | |||||||
\(564\) | −25.1897 | − | 17.4598i | −1.06068 | − | 0.735188i | ||||
\(565\) | −5.18626 | + | 3.97956i | −0.218187 | + | 0.167421i | ||||
\(566\) | 4.60490 | − | 17.9644i | 0.193558 | − | 0.755099i | ||||
\(567\) | −4.02560 | + | 25.7382i | −0.169060 | + | 1.08090i | ||||
\(568\) | −1.15224 | + | 3.06029i | −0.0483470 | + | 0.128407i | ||||
\(569\) | −7.19831 | − | 26.8644i | −0.301769 | − | 1.12622i | −0.935691 | − | 0.352820i | \(-0.885223\pi\) |
0.633923 | − | 0.773396i | \(-0.281444\pi\) | |||||||
\(570\) | −1.00168 | − | 0.929176i | −0.0419556 | − | 0.0389189i | ||||
\(571\) | 1.49888 | + | 11.3851i | 0.0627262 | + | 0.476453i | 0.993762 | + | 0.111524i | \(0.0355732\pi\) |
−0.931036 | + | 0.364928i | \(0.881093\pi\) | |||||||
\(572\) | −22.3539 | + | 23.3474i | −0.934665 | + | 0.976203i | ||||
\(573\) | −0.513843 | − | 3.23417i | −0.0214661 | − | 0.135109i | ||||
\(574\) | −9.06726 | − | 3.64085i | −0.378460 | − | 0.151966i | ||||
\(575\) | −3.35546 | −0.139932 | ||||||||
\(576\) | 14.3736 | + | 19.2198i | 0.598900 | + | 0.800824i | ||||
\(577\) | −46.3559 | −1.92982 | −0.964912 | − | 0.262575i | \(-0.915428\pi\) | ||||
−0.964912 | + | 0.262575i | \(0.915428\pi\) | |||||||
\(578\) | −36.9136 | − | 14.8222i | −1.53540 | − | 0.616523i | ||||
\(579\) | −18.7460 | − | 7.18552i | −0.779056 | − | 0.298620i | ||||
\(580\) | 9.14127 | − | 9.54752i | 0.379571 | − | 0.396439i | ||||
\(581\) | 0.312491 | + | 2.37360i | 0.0129643 | + | 0.0984737i | ||||
\(582\) | −10.0466 | + | 44.0435i | −0.416445 | + | 1.82566i | ||||
\(583\) | −7.59141 | − | 28.3315i | −0.314404 | − | 1.17337i | ||||
\(584\) | 21.3439 | + | 8.03629i | 0.883218 | + | 0.332544i | ||||
\(585\) | 18.2358 | − | 20.2923i | 0.753958 | − | 0.838983i | ||||
\(586\) | −8.86589 | + | 34.5871i | −0.366246 | + | 1.42878i | ||||
\(587\) | −14.5445 | + | 11.1604i | −0.600315 | + | 0.460638i | −0.863668 | − | 0.504062i | \(-0.831838\pi\) |
0.263352 | + | 0.964700i | \(0.415172\pi\) | |||||||
\(588\) | −4.31828 | + | 2.03875i | −0.178083 | + | 0.0840766i | ||||
\(589\) | −0.677596 | + | 0.883060i | −0.0279198 | + | 0.0363858i | ||||
\(590\) | 2.93510 | − | 24.3350i | 0.120836 | − | 1.00186i | ||||
\(591\) | −3.95624 | + | 1.17397i | −0.162738 | + | 0.0482907i | ||||
\(592\) | −11.0555 | − | 4.02592i | −0.454377 | − | 0.165464i | ||||
\(593\) | 27.7849 | 1.14099 | 0.570494 | − | 0.821302i | \(-0.306752\pi\) | ||||
0.570494 | + | 0.821302i | \(0.306752\pi\) | |||||||
\(594\) | −13.3815 | − | 14.4985i | −0.549049 | − | 0.594882i | ||||
\(595\) | 27.1407 | − | 11.2421i | 1.11266 | − | 0.460879i | ||||
\(596\) | −16.6950 | − | 12.2434i | −0.683852 | − | 0.501508i | ||||
\(597\) | −3.26111 | + | 31.1722i | −0.133468 | + | 1.27579i | ||||
\(598\) | 10.1228 | − | 2.83064i | 0.413951 | − | 0.115754i | ||||
\(599\) | 42.3837 | + | 11.3567i | 1.73175 | + | 0.464021i | 0.980585 | − | 0.196093i | \(-0.0628254\pi\) |
0.751165 | + | 0.660114i | \(0.229492\pi\) | |||||||
\(600\) | −13.0410 | − | 2.67799i | −0.532398 | − | 0.109328i | ||||
\(601\) | −5.48542 | + | 1.46981i | −0.223755 | + | 0.0599549i | −0.368955 | − | 0.929447i | \(-0.620284\pi\) |
0.145200 | + | 0.989402i | \(0.453618\pi\) | |||||||
\(602\) | −23.5087 | + | 13.9155i | −0.958142 | + | 0.567155i | ||||
\(603\) | 29.9951 | + | 35.0511i | 1.22149 | + | 1.42739i | ||||
\(604\) | 2.64698 | + | 1.45247i | 0.107704 | + | 0.0591001i | ||||
\(605\) | −5.67879 | − | 0.747626i | −0.230875 | − | 0.0303953i | ||||
\(606\) | −24.3631 | + | 34.3460i | −0.989683 | + | 1.39521i | ||||
\(607\) | 27.8576 | − | 16.0836i | 1.13070 | − | 0.652812i | 0.186592 | − | 0.982438i | \(-0.440256\pi\) |
0.944112 | + | 0.329626i | \(0.106923\pi\) | |||||||
\(608\) | −0.113425 | − | 2.08543i | −0.00460001 | − | 0.0845754i | ||||
\(609\) | 15.9163 | + | 15.0894i | 0.644962 | + | 0.611454i | ||||
\(610\) | 8.52027 | + | 3.42122i | 0.344976 | + | 0.138521i | ||||
\(611\) | −49.2038 | + | 20.3809i | −1.99057 | + | 0.824522i | ||||
\(612\) | 33.2966 | − | 22.7139i | 1.34594 | − | 0.918156i | ||||
\(613\) | 5.12670 | − | 12.3769i | 0.207065 | − | 0.499900i | −0.785893 | − | 0.618362i | \(-0.787796\pi\) |
0.992959 | + | 0.118462i | \(0.0377964\pi\) | |||||||
\(614\) | −28.1869 | + | 0.306325i | −1.13753 | + | 0.0123623i | ||||
\(615\) | −5.32398 | + | 3.26608i | −0.214684 | + | 0.131701i | ||||
\(616\) | 4.99413 | − | 21.4067i | 0.201219 | − | 0.862501i | ||||
\(617\) | 3.09919 | − | 11.5664i | 0.124769 | − | 0.465644i | −0.875062 | − | 0.484010i | \(-0.839180\pi\) |
0.999831 | + | 0.0183662i | \(0.00584648\pi\) | |||||||
\(618\) | −13.6985 | + | 0.514344i | −0.551035 | + | 0.0206900i | ||||
\(619\) | 6.66924 | + | 8.69152i | 0.268059 | + | 0.349342i | 0.907916 | − | 0.419153i | \(-0.137673\pi\) |
−0.639856 | + | 0.768494i | \(0.721006\pi\) | |||||||
\(620\) | 0.992464 | − | 9.05524i | 0.0398583 | − | 0.363667i | ||||
\(621\) | 1.34303 | + | 6.27377i | 0.0538939 | + | 0.251758i | ||||
\(622\) | 14.6604 | + | 10.9982i | 0.587827 | + | 0.440990i | ||||
\(623\) | 17.6795 | + | 10.2073i | 0.708315 | + | 0.408946i | ||||
\(624\) | 41.6015 | − | 2.92236i | 1.66539 | − | 0.116988i | ||||
\(625\) | −3.48775 | + | 2.01365i | −0.139510 | + | 0.0805462i | ||||
\(626\) | 1.19246 | + | 0.143825i | 0.0476601 | + | 0.00574840i | ||||
\(627\) | 0.269405 | + | 1.69566i | 0.0107590 | + | 0.0677182i | ||||
\(628\) | −1.95857 | − | 12.7320i | −0.0781556 | − | 0.508063i | ||||
\(629\) | −7.56167 | + | 18.2555i | −0.301503 | + | 0.727893i | ||||
\(630\) | −3.64245 | + | 18.1923i | −0.145119 | + | 0.724797i | ||||
\(631\) | 1.47868 | + | 1.47868i | 0.0588652 | + | 0.0588652i | 0.735927 | − | 0.677061i | \(-0.236747\pi\) |
−0.677061 | + | 0.735927i | \(0.736747\pi\) | |||||||
\(632\) | 10.6482 | + | 1.05008i | 0.423563 | + | 0.0417701i | ||||
\(633\) | 30.9402 | − | 0.825144i | 1.22976 | − | 0.0327965i | ||||
\(634\) | −3.44652 | − | 1.94022i | −0.136879 | − | 0.0770561i | ||||
\(635\) | 12.4743 | − | 1.64227i | 0.495026 | − | 0.0651714i | ||||
\(636\) | −17.3139 | + | 33.6502i | −0.686542 | + | 1.33432i | ||||
\(637\) | −1.08310 | + | 8.22699i | −0.0429141 | + | 0.325965i | ||||
\(638\) | −16.4438 | + | 2.34693i | −0.651017 | + | 0.0929159i | ||||
\(639\) | −2.90700 | + | 1.89182i | −0.114999 | + | 0.0748393i | ||||
\(640\) | 9.64651 | + | 14.1103i | 0.381312 | + | 0.557758i | ||||
\(641\) | −6.23393 | − | 3.59916i | −0.246226 | − | 0.142158i | 0.371809 | − | 0.928309i | \(-0.378738\pi\) |
−0.618035 | + | 0.786151i | \(0.712071\pi\) | |||||||
\(642\) | −22.7071 | − | 2.12634i | −0.896176 | − | 0.0839199i | ||||
\(643\) | −19.9523 | + | 26.0024i | −0.786842 | + | 1.02543i | 0.211997 | + | 0.977270i | \(0.432003\pi\) |
−0.998840 | + | 0.0481624i | \(0.984663\pi\) | |||||||
\(644\) | −4.94342 | + | 5.16312i | −0.194798 | + | 0.203455i | ||||
\(645\) | −1.81700 | + | 17.3683i | −0.0715445 | + | 0.683875i | ||||
\(646\) | −3.50729 | + | 0.0381159i | −0.137993 | + | 0.00149965i | ||||
\(647\) | −0.529459 | − | 0.529459i | −0.0208152 | − | 0.0208152i | 0.696623 | − | 0.717438i | \(-0.254685\pi\) |
−0.717438 | + | 0.696623i | \(0.754685\pi\) | |||||||
\(648\) | 0.212615 | + | 25.4550i | 0.00835231 | + | 0.999965i | ||||
\(649\) | −21.7803 | + | 21.7803i | −0.854953 | + | 0.854953i | ||||
\(650\) | −16.1794 | + | 16.5349i | −0.634607 | + | 0.648552i | ||||
\(651\) | 15.0329 | + | 1.57268i | 0.589185 | + | 0.0616383i | ||||
\(652\) | −9.71032 | + | 24.9640i | −0.380285 | + | 0.977664i | ||||
\(653\) | 4.40157 | + | 3.37745i | 0.172247 | + | 0.132170i | 0.691287 | − | 0.722580i | \(-0.257044\pi\) |
−0.519040 | + | 0.854750i | \(0.673711\pi\) | |||||||
\(654\) | −28.3260 | − | 34.1792i | −1.10764 | − | 1.33651i | ||||
\(655\) | −1.13600 | + | 1.96761i | −0.0443873 | + | 0.0768810i | ||||
\(656\) | −9.32100 | − | 2.06802i | −0.363924 | − | 0.0807428i | ||||
\(657\) | 13.1945 | + | 20.2748i | 0.514766 | + | 0.790997i | ||||
\(658\) | 21.7346 | − | 28.9716i | 0.847302 | − | 1.12943i | ||||
\(659\) | −22.0134 | − | 2.89813i | −0.857522 | − | 0.112895i | −0.311072 | − | 0.950386i | \(-0.600688\pi\) |
−0.546450 | + | 0.837492i | \(0.684021\pi\) | |||||||
\(660\) | −9.08329 | − | 10.7209i | −0.353566 | − | 0.417311i | ||||
\(661\) | 2.51759 | + | 19.1230i | 0.0979228 | + | 0.743798i | 0.968012 | + | 0.250904i | \(0.0807277\pi\) |
−0.870089 | + | 0.492894i | \(0.835939\pi\) | |||||||
\(662\) | 6.38713 | + | 22.8413i | 0.248243 | + | 0.887751i | ||||
\(663\) | −1.86720 | − | 70.0138i | −0.0725159 | − | 2.71911i | ||||
\(664\) | 0.678810 | + | 2.23873i | 0.0263429 | + | 0.0868796i | ||||
\(665\) | 1.14165 | − | 1.14165i | 0.0442713 | − | 0.0442713i | ||||
\(666\) | −6.92013 | − | 10.3849i | −0.268150 | − | 0.402409i | ||||
\(667\) | 4.99032 | + | 2.06706i | 0.193226 | + | 0.0800368i | ||||
\(668\) | 40.8303 | − | 24.7718i | 1.57977 | − | 0.958451i | ||||
\(669\) | 15.9183 | − | 2.52909i | 0.615438 | − | 0.0977803i | ||||
\(670\) | 20.2834 | + | 25.8473i | 0.783614 | + | 0.998567i | ||||
\(671\) | −5.76893 | − | 9.99208i | −0.222707 | − | 0.385740i | ||||
\(672\) | −23.3334 | + | 16.1212i | −0.900104 | + | 0.621888i | ||||
\(673\) | −9.38576 | + | 16.2566i | −0.361794 | + | 0.626646i | −0.988256 | − | 0.152806i | \(-0.951169\pi\) |
0.626462 | + | 0.779452i | \(0.284502\pi\) | |||||||
\(674\) | −30.8801 | + | 4.40734i | −1.18946 | + | 0.169764i | ||||
\(675\) | −9.46380 | − | 10.4801i | −0.364262 | − | 0.403378i | ||||
\(676\) | 22.3538 | − | 40.7376i | 0.859760 | − | 1.56683i | ||||
\(677\) | −19.3164 | + | 14.8220i | −0.742391 | + | 0.569656i | −0.909213 | − | 0.416330i | \(-0.863316\pi\) |
0.166823 | + | 0.985987i | \(0.446649\pi\) | |||||||
\(678\) | −7.77049 | − | 7.20808i | −0.298424 | − | 0.276825i | ||||
\(679\) | −51.5642 | − | 13.8166i | −1.97885 | − | 0.530232i | ||||
\(680\) | 24.3788 | − | 15.1555i | 0.934883 | − | 0.581188i | ||||
\(681\) | 10.9087 | + | 17.7822i | 0.418024 | + | 0.681415i | ||||
\(682\) | −8.00607 | + | 8.18199i | −0.306568 | + | 0.313305i | ||||
\(683\) | 22.4745 | + | 9.30925i | 0.859963 | + | 0.356208i | 0.768693 | − | 0.639618i | \(-0.220907\pi\) |
0.0912701 | + | 0.995826i | \(0.470907\pi\) | |||||||
\(684\) | 1.21294 | − | 1.85362i | 0.0463781 | − | 0.0708748i | ||||
\(685\) | −5.60195 | − | 13.5243i | −0.214040 | − | 0.516737i | ||||
\(686\) | 9.03671 | + | 21.1631i | 0.345023 | + | 0.808011i | ||||
\(687\) | 22.0922 | − | 23.3028i | 0.842870 | − | 0.889059i | ||||
\(688\) | −20.4518 | + | 17.1554i | −0.779718 | + | 0.654043i | ||||
\(689\) | 32.8794 | + | 56.9488i | 1.25261 | + | 2.16958i | ||||
\(690\) | 0.765979 | + | 4.50468i | 0.0291603 | + | 0.171490i | ||||
\(691\) | −2.51606 | + | 19.1114i | −0.0957156 | + | 0.727032i | 0.874541 | + | 0.484952i | \(0.161163\pi\) |
−0.970256 | + | 0.242080i | \(0.922170\pi\) | |||||||
\(692\) | −17.2715 | + | 13.8595i | −0.656563 | + | 0.526859i | ||||
\(693\) | 17.7142 | − | 15.1590i | 0.672907 | − | 0.575841i | ||||
\(694\) | 1.63843 | + | 0.419988i | 0.0621941 | + | 0.0159425i | ||||
\(695\) | −4.32499 | − | 16.1411i | −0.164056 | − | 0.612266i | ||||
\(696\) | 17.7452 | + | 12.0164i | 0.672632 | + | 0.455481i | ||||
\(697\) | −4.15005 | + | 15.4882i | −0.157194 | + | 0.586658i | ||||
\(698\) | 21.3313 | − | 37.8921i | 0.807403 | − | 1.43424i | ||||
\(699\) | 0.732051 | + | 0.0765844i | 0.0276887 | + | 0.00289669i | ||||
\(700\) | 3.74058 | − | 15.2810i | 0.141381 | − | 0.577569i | ||||
\(701\) | 5.75157 | + | 13.8855i | 0.217234 | + | 0.524449i | 0.994502 | − | 0.104721i | \(-0.0333949\pi\) |
−0.777268 | + | 0.629170i | \(0.783395\pi\) | |||||||
\(702\) | 37.3914 | + | 23.6328i | 1.41125 | + | 0.891961i | ||||
\(703\) | 1.08597i | 0.0409583i | ||||||||
\(704\) | 1.41010 | − | 21.4329i | 0.0531451 | − | 0.807784i | ||||
\(705\) | −6.58624 | − | 22.1954i | −0.248052 | − | 0.835928i | ||||
\(706\) | 20.4438 | + | 26.0517i | 0.769411 | + | 0.980468i | ||||
\(707\) | −39.4780 | − | 30.2925i | −1.48472 | − | 1.13927i | ||||
\(708\) | 39.6947 | − | 1.92260i | 1.49182 | − | 0.0722559i | ||||
\(709\) | −17.5709 | − | 22.8988i | −0.659887 | − | 0.859982i | 0.336778 | − | 0.941584i | \(-0.390663\pi\) |
−0.996665 | + | 0.0816022i | \(0.973996\pi\) | |||||||
\(710\) | −2.12566 | + | 1.25825i | −0.0797746 | + | 0.0472211i | ||||
\(711\) | 8.44122 | + | 7.58577i | 0.316571 | + | 0.284488i | ||||
\(712\) | 18.6687 | + | 7.02902i | 0.699638 | + | 0.263424i | ||||
\(713\) | 3.59568 | − | 0.963460i | 0.134659 | − | 0.0360819i | ||||
\(714\) | 25.3459 | + | 40.3261i | 0.948546 | + | 1.50917i | ||||
\(715\) | −24.2079 | + | 3.18703i | −0.905324 | + | 0.119188i | ||||
\(716\) | 10.1373 | − | 26.0617i | 0.378849 | − | 0.973972i | ||||
\(717\) | −3.07039 | + | 8.01020i | −0.114666 | + | 0.299146i | ||||
\(718\) | 6.25475 | + | 14.6480i | 0.233425 | + | 0.546659i | ||||
\(719\) | 49.7852i | 1.85668i | 0.371738 | + | 0.928338i | \(0.378762\pi\) | ||||
−0.371738 | + | 0.928338i | \(0.621238\pi\) | |||||||
\(720\) | −0.618195 | + | 18.1188i | −0.0230388 | + | 0.675249i | ||||
\(721\) | − | 16.1990i | − | 0.603281i | ||||||
\(722\) | 24.5342 | − | 10.4762i | 0.913069 | − | 0.389883i | ||||
\(723\) | −30.3026 | + | 4.81445i | −1.12697 | + | 0.179052i | ||||
\(724\) | −11.0931 | − | 25.2167i | −0.412273 | − | 0.937171i | ||||
\(725\) | −11.7864 | + | 1.55171i | −0.437736 | + | 0.0576290i | ||||
\(726\) | −0.348446 | − | 9.28014i | −0.0129320 | − | 0.344418i | ||||
\(727\) | 33.6064 | − | 9.00482i | 1.24639 | − | 0.333970i | 0.425451 | − | 0.904981i | \(-0.360115\pi\) |
0.820942 | + | 0.571011i | \(0.193449\pi\) | |||||||
\(728\) | 1.60638 | + | 49.2555i | 0.0595363 | + | 1.82553i | ||||
\(729\) | −15.8069 | + | 21.8893i | −0.585440 | + | 0.810716i | ||||
\(730\) | 8.77562 | + | 14.8254i | 0.324800 | + | 0.548712i | ||||
\(731\) | 27.2914 | + | 35.5668i | 1.00941 | + | 1.31549i | ||||
\(732\) | −3.15272 | + | 14.5486i | −0.116528 | + | 0.537732i | ||||
\(733\) | 3.73562 | + | 2.86644i | 0.137978 | + | 0.105875i | 0.675445 | − | 0.737411i | \(-0.263952\pi\) |
−0.537466 | + | 0.843285i | \(0.680618\pi\) | |||||||
\(734\) | −14.3197 | + | 11.2372i | −0.528551 | + | 0.414774i | ||||
\(735\) | −3.50800 | − | 0.840406i | −0.129395 | − | 0.0309988i | ||||
\(736\) | −3.94483 | + | 5.76413i | −0.145408 | + | 0.212469i | ||||
\(737\) | − | 41.2879i | − | 1.52086i | ||||||
\(738\) | −6.66750 | − | 7.62214i | −0.245434 | − | 0.280575i | ||||
\(739\) | 4.38631 | + | 10.5895i | 0.161353 | + | 0.389541i | 0.983792 | − | 0.179312i | \(-0.0573873\pi\) |
−0.822439 | + | 0.568853i | \(0.807387\pi\) | |||||||
\(740\) | −4.61007 | − | 7.59858i | −0.169470 | − | 0.279329i | ||||
\(741\) | −1.56734 | − | 3.51574i | −0.0575778 | − | 0.129154i | ||||
\(742\) | −38.9688 | − | 21.9375i | −1.43059 | − | 0.805352i | ||||
\(743\) | −4.70334 | + | 17.5531i | −0.172549 | + | 0.643961i | 0.824407 | + | 0.565997i | \(0.191509\pi\) |
−0.996956 | + | 0.0779643i | \(0.975158\pi\) | |||||||
\(744\) | 14.7436 | − | 0.874792i | 0.540527 | − | 0.0320714i | ||||
\(745\) | −4.04767 | − | 15.1061i | −0.148295 | − | 0.553445i | ||||
\(746\) | 1.45319 | − | 5.66910i | 0.0532050 | − | 0.207560i | ||||
\(747\) | −0.826013 | + | 2.33976i | −0.0302222 | + | 0.0856075i | ||||
\(748\) | −35.8581 | − | 3.93008i | −1.31110 | − | 0.143698i | ||||
\(749\) | 3.51773 | − | 26.7198i | 0.128535 | − | 0.976321i | ||||
\(750\) | −18.2241 | − | 21.9898i | −0.665449 | − | 0.802953i | ||||
\(751\) | −20.2013 | − | 34.9897i | −0.737156 | − | 1.27679i | −0.953771 | − | 0.300535i | \(-0.902835\pi\) |
0.216615 | − | 0.976257i | \(-0.430498\pi\) | |||||||
\(752\) | 16.3466 | − | 31.3890i | 0.596101 | − | 1.14464i | ||||
\(753\) | −10.9208 | − | 36.8028i | −0.397977 | − | 1.34117i | ||||
\(754\) | 34.2483 | − | 14.6242i | 1.24725 | − | 0.532580i | ||||
\(755\) | 0.872807 | + | 2.10714i | 0.0317647 | + | 0.0766867i | ||||
\(756\) | −30.0684 | − | 0.877568i | −1.09358 | − | 0.0319168i | ||||
\(757\) | −3.73933 | − | 1.54888i | −0.135908 | − | 0.0562950i | 0.313693 | − | 0.949525i | \(-0.398434\pi\) |
−0.449601 | + | 0.893230i | \(0.648434\pi\) | |||||||
\(758\) | 37.0239 | + | 36.2278i | 1.34477 | + | 1.31585i | ||||
\(759\) | 2.73743 | − | 5.04752i | 0.0993623 | − | 0.183214i | ||||
\(760\) | 0.919101 | − | 1.28227i | 0.0333393 | − | 0.0465128i | ||||
\(761\) | 31.8176 | + | 8.52550i | 1.15339 | + | 0.309049i | 0.784322 | − | 0.620354i | \(-0.213011\pi\) |
0.369065 | + | 0.929403i | \(0.379678\pi\) | |||||||
\(762\) | 6.01540 | + | 19.4925i | 0.217915 | + | 0.706137i | ||||
\(763\) | 41.6171 | − | 31.9339i | 1.50664 | − | 1.15609i | ||||
\(764\) | 3.63036 | − | 1.05783i | 0.131342 | − | 0.0382709i | ||||
\(765\) | 30.3554 | + | 2.35954i | 1.09750 | + | 0.0853092i | ||||
\(766\) | −4.51732 | − | 31.6507i | −0.163217 | − | 1.14358i | ||||
\(767\) | 34.5285 | − | 59.8051i | 1.24675 | − | 2.15944i | ||||
\(768\) | −19.9320 | + | 19.2540i | −0.719233 | + | 0.694769i | ||||
\(769\) | −15.5674 | − | 26.9636i | −0.561376 | − | 0.972331i | −0.997377 | − | 0.0723849i | \(-0.976939\pi\) |
0.436001 | − | 0.899946i | \(-0.356394\pi\) | |||||||
\(770\) | 13.0627 | − | 10.2508i | 0.470748 | − | 0.369414i | ||||
\(771\) | 4.18770 | − | 10.9251i | 0.150816 | − | 0.393457i | ||||
\(772\) | 5.51181 | − | 22.5169i | 0.198375 | − | 0.810401i | ||||
\(773\) | 3.37470 | + | 1.39785i | 0.121380 | + | 0.0502771i | 0.442547 | − | 0.896745i | \(-0.354075\pi\) |
−0.321167 | + | 0.947023i | \(0.604075\pi\) | |||||||
\(774\) | −28.2552 | + | 1.81627i | −1.01561 | + | 0.0652844i | ||||
\(775\) | −5.79324 | + | 5.79324i | −0.208099 | + | 0.208099i | ||||
\(776\) | −51.9115 | − | 5.11931i | −1.86352 | − | 0.183772i | ||||
\(777\) | 12.5701 | − | 7.71132i | 0.450950 | − | 0.276642i | ||||
\(778\) | 41.7920 | − | 11.6863i | 1.49832 | − | 0.418976i | ||||
\(779\) | 0.115026 | + | 0.873711i | 0.00412124 | + | 0.0313039i | ||||
\(780\) | 25.8914 | + | 17.9461i | 0.927061 | + | 0.642575i | ||||
\(781\) | 3.07754 | + | 0.405165i | 0.110123 | + | 0.0144980i | ||||
\(782\) | 9.38338 | + | 7.03944i | 0.335549 | + | 0.251730i | ||||
\(783\) | 7.61879 | + | 21.4162i | 0.272273 | + | 0.765352i | ||||
\(784\) | −2.96196 | − | 4.65104i | −0.105784 | − | 0.166109i | ||||
\(785\) | 4.86539 | − | 8.42710i | 0.173653 | − | 0.300776i | ||||
\(786\) | −3.45378 | − | 1.28100i | −0.123192 | − | 0.0456917i | ||||
\(787\) | −29.9603 | − | 22.9894i | −1.06797 | − | 0.819482i | −0.0837594 | − | 0.996486i | \(-0.526693\pi\) |
−0.984210 | + | 0.177004i | \(0.943359\pi\) | |||||||
\(788\) | −1.91879 | − | 4.36176i | −0.0683542 | − | 0.155381i | ||||
\(789\) | −0.362754 | + | 0.499795i | −0.0129144 | + | 0.0177932i | ||||
\(790\) | 5.77702 | + | 5.65281i | 0.205537 | + | 0.201118i | ||||
\(791\) | 8.85634 | − | 8.85634i | 0.314895 | − | 0.314895i | ||||
\(792\) | 14.6675 | − | 17.4325i | 0.521186 | − | 0.619438i | ||||
\(793\) | 18.2910 | + | 18.2910i | 0.649534 | + | 0.649534i | ||||
\(794\) | −0.0246525 | − | 2.26844i | −0.000874884 | − | 0.0805038i | ||||
\(795\) | −26.1094 | + | 11.6397i | −0.926004 | + | 0.412819i | ||||
\(796\) | −36.1824 | + | 0.786525i | −1.28245 | + | 0.0278776i | ||||
\(797\) | 3.65925 | − | 4.76883i | 0.129617 | − | 0.168921i | −0.724036 | − | 0.689762i | \(-0.757715\pi\) |
0.853653 | + | 0.520842i | \(0.174382\pi\) | |||||||
\(798\) | 2.13510 | + | 1.51452i | 0.0755817 | + | 0.0536133i | ||||
\(799\) | −51.4727 | − | 29.7178i | −1.82097 | − | 1.05134i | ||||
\(800\) | 1.17584 | − | 15.3277i | 0.0415723 | − | 0.541915i | ||||
\(801\) | 11.5407 | + | 17.7336i | 0.407770 | + | 0.626585i | ||||
\(802\) | −4.73187 | − | 33.1539i | −0.167088 | − | 1.17071i | ||||
\(803\) | 2.82582 | − | 21.4642i | 0.0997210 | − | 0.757456i | ||||
\(804\) | −35.8013 | + | 39.4459i | −1.26261 | + | 1.39115i | ||||
\(805\) | −5.35341 | + | 0.704790i | −0.188683 | + | 0.0248406i | ||||
\(806\) | 12.5900 | − | 22.3643i | 0.443463 | − | 0.787748i | ||||
\(807\) | −1.10072 | + | 2.02960i | −0.0387471 | + | 0.0714455i | ||||
\(808\) | −42.8796 | − | 22.9264i | −1.50850 | − | 0.806549i | ||||
\(809\) | −18.3151 | − | 18.3151i | −0.643923 | − | 0.643923i | 0.307595 | − | 0.951518i | \(-0.400476\pi\) |
−0.951518 | + | 0.307595i | \(0.900476\pi\) | |||||||
\(810\) | −11.9090 | + | 15.0975i | −0.418441 | + | 0.530471i | ||||
\(811\) | −15.6806 | + | 37.8562i | −0.550619 | + | 1.32931i | 0.366396 | + | 0.930459i | \(0.380591\pi\) |
−0.917015 | + | 0.398852i | \(0.869409\pi\) | |||||||
\(812\) | −14.9766 | + | 20.4220i | −0.525577 | + | 0.716673i | ||||
\(813\) | 9.03382 | − | 7.32267i | 0.316830 | − | 0.256817i | ||||
\(814\) | −1.33739 | + | 11.0883i | −0.0468754 | + | 0.388645i | ||||
\(815\) | −17.5231 | + | 10.1170i | −0.613806 | + | 0.354381i | ||||
\(816\) | 30.8505 | + | 34.8478i | 1.07998 | + | 1.21992i | ||||
\(817\) | 2.13379 | + | 1.23194i | 0.0746517 | + | 0.0431002i | ||||
\(818\) | −14.9832 | + | 19.9722i | −0.523876 | + | 0.698312i | ||||
\(819\) | −29.5651 | + | 43.1066i | −1.03309 | + | 1.50627i | ||||
\(820\) | −4.51383 | − | 5.62507i | −0.157630 | − | 0.196436i | ||||
\(821\) | −16.5609 | − | 21.5826i | −0.577980 | − | 0.753238i | 0.409271 | − | 0.912413i | \(-0.365783\pi\) |
−0.987250 | + | 0.159175i | \(0.949117\pi\) | |||||||
\(822\) | 20.0946 | − | 12.6299i | 0.700881 | − | 0.440520i | ||||
\(823\) | −6.05090 | + | 22.5823i | −0.210921 | + | 0.787168i | 0.776642 | + | 0.629943i | \(0.216922\pi\) |
−0.987563 | + | 0.157225i | \(0.949745\pi\) | |||||||
\(824\) | −2.57652 | − | 15.6177i | −0.0897572 | − | 0.544069i | ||||
\(825\) | 0.336912 | + | 12.6331i | 0.0117298 | + | 0.439829i | ||||
\(826\) | 0.510338 | + | 46.9595i | 0.0177569 | + | 1.63393i | ||||
\(827\) | 20.6338 | − | 49.8145i | 0.717508 | − | 1.73222i | 0.0371828 | − | 0.999308i | \(-0.488162\pi\) |
0.680326 | − | 0.732910i | \(-0.261838\pi\) | |||||||
\(828\) | −6.99208 | + | 2.44867i | −0.242992 | + | 0.0850973i | ||||
\(829\) | −30.6520 | + | 12.6965i | −1.06459 | + | 0.440967i | −0.845078 | − | 0.534644i | \(-0.820446\pi\) |
−0.219510 | + | 0.975610i | \(0.570446\pi\) | |||||||
\(830\) | −0.658476 | + | 1.63988i | −0.0228561 | + | 0.0569212i | ||||
\(831\) | 6.73736 | − | 28.1229i | 0.233716 | − | 0.975573i | ||||
\(832\) | 9.38304 | + | 47.2327i | 0.325299 | + | 1.63750i | ||||
\(833\) | −8.01985 | + | 4.63027i | −0.277872 | + | 0.160429i | ||||
\(834\) | 24.6243 | − | 11.3001i | 0.852671 | − | 0.391289i | ||||
\(835\) | 35.7668 | + | 4.70879i | 1.23776 | + | 0.162954i | ||||
\(836\) | −1.90338 | + | 0.554615i | −0.0658298 | + | 0.0191818i | ||||
\(837\) | 13.1505 | + | 8.51298i | 0.454548 | + | 0.294252i | ||||
\(838\) | −4.77031 | − | 8.05888i | −0.164788 | − | 0.278389i | ||||
\(839\) | 0.215035 | − | 0.0576185i | 0.00742384 | − | 0.00198921i | −0.255105 | − | 0.966913i | \(-0.582110\pi\) |
0.262529 | + | 0.964924i | \(0.415443\pi\) | |||||||
\(840\) | −21.3686 | − | 1.53337i | −0.737287 | − | 0.0529064i | ||||
\(841\) | −9.52692 | − | 2.55273i | −0.328514 | − | 0.0880252i | ||||
\(842\) | −3.00384 | − | 10.7421i | −0.103519 | − | 0.370199i | ||||
\(843\) | −1.40693 | − | 1.02116i | −0.0484572 | − | 0.0351705i | ||||
\(844\) | 5.43390 | + | 35.3239i | 0.187042 | + | 1.21590i | ||||
\(845\) | 32.4293 | − | 13.4327i | 1.11560 | − | 0.462098i | ||||
\(846\) | 33.6870 | − | 16.5599i | 1.15818 | − | 0.569343i | ||||
\(847\) | 10.9741 | 0.377075 | ||||||||
\(848\) | −41.0598 | − | 14.9522i | −1.41000 | − | 0.513460i | ||||
\(849\) | 16.4831 | + | 15.6267i | 0.565697 | + | 0.536308i | ||||
\(850\) | −25.6315 | − | 3.09148i | −0.879155 | − | 0.106037i | ||||
\(851\) | 2.21096 | − | 2.88138i | 0.0757907 | − | 0.0987724i | ||||
\(852\) | −2.58891 | − | 3.05566i | −0.0886946 | − | 0.104685i | ||||
\(853\) | −1.65665 | + | 1.27119i | −0.0567227 | + | 0.0435248i | −0.636734 | − | 0.771084i | \(-0.719715\pi\) |
0.580011 | + | 0.814609i | \(0.303048\pi\) | |||||||
\(854\) | −17.0403 | − | 4.36802i | −0.583105 | − | 0.149470i | ||||
\(855\) | 1.59095 | − | 0.518628i | 0.0544092 | − | 0.0177367i | ||||
\(856\) | −0.858396 | − | 26.3206i | −0.0293394 | − | 0.899619i | ||||
\(857\) | −4.58621 | − | 17.1160i | −0.156662 | − | 0.584671i | −0.998957 | − | 0.0456543i | \(-0.985463\pi\) |
0.842295 | − | 0.539016i | \(-0.181204\pi\) | |||||||
\(858\) | −11.6736 | − | 37.8276i | −0.398532 | − | 1.29141i | ||||
\(859\) | −2.94144 | − | 22.3425i | −0.100361 | − | 0.762316i | −0.965430 | − | 0.260663i | \(-0.916059\pi\) |
0.865069 | − | 0.501653i | \(-0.167274\pi\) | |||||||
\(860\) | −20.1598 | + | 0.438231i | −0.687445 | + | 0.0149435i | ||||
\(861\) | 9.29638 | − | 7.53550i | 0.316820 | − | 0.256809i | ||||
\(862\) | −5.66804 | + | 14.1158i | −0.193054 | + | 0.480787i | ||||
\(863\) | 22.6224 | 0.770076 | 0.385038 | − | 0.922901i | \(-0.374188\pi\) | ||||
0.385038 | + | 0.922901i | \(0.374188\pi\) | |||||||
\(864\) | −29.1291 | + | 3.93644i | −0.990992 | + | 0.133920i | ||||
\(865\) | −16.7279 | −0.568767 | ||||||||
\(866\) | −8.67501 | + | 21.6044i | −0.294789 | + | 0.734148i | ||||
\(867\) | 37.8463 | − | 30.6776i | 1.28533 | − | 1.04187i | ||||
\(868\) | 0.379304 | + | 17.4491i | 0.0128744 | + | 0.592260i | ||||
\(869\) | −1.32575 | − | 10.0700i | −0.0449729 | − | 0.341603i | ||||
\(870\) | 4.77374 | + | 15.4690i | 0.161845 | + | 0.524447i | ||||
\(871\) | 23.9578 | + | 89.4117i | 0.811779 | + | 3.02960i | ||||
\(872\) | 35.0446 | − | 37.4075i | 1.18676 | − | 1.26678i | ||||
\(873\) | −41.1521 | − | 36.9817i | −1.39279 | − | 1.25164i | ||||
\(874\) | 0.624503 | + | 0.160082i | 0.0211241 | + | 0.00541486i | ||||
\(875\) | 26.7751 | − | 20.5453i | 0.905164 | − | 0.694556i | ||||
\(876\) | −21.3117 | + | 18.0563i | −0.720055 | + | 0.610067i | ||||
\(877\) | 15.7128 | − | 20.4773i | 0.530583 | − | 0.691469i | −0.448765 | − | 0.893650i | \(-0.648136\pi\) |
0.979348 | + | 0.202180i | \(0.0648027\pi\) | |||||||
\(878\) | −55.5792 | − | 6.70353i | −1.87571 | − | 0.226233i | ||||
\(879\) | −31.7351 | − | 30.0864i | −1.07040 | − | 1.01479i | ||||
\(880\) | 10.9636 | − | 11.9607i | 0.369582 | − | 0.403195i | ||||
\(881\) | 18.9952 | 0.639965 | 0.319983 | − | 0.947423i | \(-0.396323\pi\) | ||||
0.319983 | + | 0.947423i | \(0.396323\pi\) | |||||||
\(882\) | 0.389854 | − | 5.83559i | 0.0131271 | − | 0.196494i | ||||
\(883\) | 14.4411 | − | 5.98171i | 0.485983 | − | 0.201301i | −0.126219 | − | 0.992002i | \(-0.540284\pi\) |
0.612202 | + | 0.790702i | \(0.290284\pi\) | |||||||
\(884\) | 79.9335 | − | 12.2962i | 2.68845 | − | 0.413566i | ||||
\(885\) | 24.2953 | + | 17.6337i | 0.816679 | + | 0.592750i | ||||
\(886\) | −2.65357 | − | 9.48954i | −0.0891485 | − | 0.318807i | ||||
\(887\) | 14.6087 | + | 3.91440i | 0.490513 | + | 0.131433i | 0.495594 | − | 0.868554i | \(-0.334951\pi\) |
−0.00508051 | + | 0.999987i | \(0.501617\pi\) | |||||||
\(888\) | 10.8925 | − | 9.43395i | 0.365530 | − | 0.316583i | ||||
\(889\) | −23.2848 | + | 6.23914i | −0.780946 | + | 0.209254i | ||||
\(890\) | 7.67567 | + | 12.9672i | 0.257289 | + | 0.434660i | ||||
\(891\) | 23.4856 | − | 5.68637i | 0.786796 | − | 0.190501i | ||||
\(892\) | 5.20655 | + | 17.8683i | 0.174328 | + | 0.598276i | ||||
\(893\) | −3.23860 | − | 0.426369i | −0.108375 | − | 0.0142679i | ||||
\(894\) | 23.0454 | − | 10.5755i | 0.770754 | − | 0.353698i | ||||
\(895\) | 18.2936 | − | 10.5618i | 0.611488 | − | 0.353043i | ||||
\(896\) | −21.8527 | − | 24.3908i | −0.730048 | − | 0.814839i | ||||
\(897\) | −2.99920 | + | 12.5192i | −0.100140 | + | 0.418003i | ||||
\(898\) | 8.59385 | − | 21.4023i | 0.286780 | − | 0.714204i | ||||
\(899\) | 12.1847 | − | 5.04705i | 0.406381 | − | 0.168329i | ||||
\(900\) | 10.6325 | − | 12.3617i | 0.354416 | − | 0.412055i | ||||
\(901\) | −28.0839 | + | 67.8005i | −0.935610 | + | 2.25876i | ||||
\(902\) | 0.0984894 | + | 9.06266i | 0.00327934 | + | 0.301753i | ||||
\(903\) | −0.891978 | − | 33.4463i | −0.0296832 | − | 1.11302i | ||||
\(904\) | 7.12992 | − | 9.94720i | 0.237138 | − | 0.330839i | ||||
\(905\) | 5.38607 | − | 20.1011i | 0.179039 | − | 0.668183i | ||||
\(906\) | −3.13082 | + | 1.96779i | −0.104015 | + | 0.0653756i | ||||
\(907\) | −23.0574 | − | 30.0490i | −0.765608 | − | 0.997759i | −0.999674 | − | 0.0255388i | \(-0.991870\pi\) |
0.234066 | − | 0.972221i | \(-0.424797\pi\) | |||||||
\(908\) | −18.7878 | + | 15.0763i | −0.623495 | + | 0.500323i | ||||
\(909\) | −22.2478 | − | 46.5279i | −0.737914 | − | 1.54323i | ||||
\(910\) | −22.3401 | + | 29.7787i | −0.740566 | + | 0.987154i | ||||
\(911\) | 43.3076 | + | 25.0037i | 1.43484 | + | 0.828408i | 0.997485 | − | 0.0708784i | \(-0.0225802\pi\) |
0.437360 | + | 0.899287i | \(0.355914\pi\) | |||||||
\(912\) | 2.29938 | + | 1.12058i | 0.0761400 | + | 0.0371060i | ||||
\(913\) | 1.92316 | − | 1.11034i | 0.0636474 | − | 0.0367468i | ||||
\(914\) | 5.33312 | − | 44.2170i | 0.176404 | − | 1.46257i | ||||
\(915\) | −8.73557 | + | 7.08091i | −0.288789 | + | 0.234088i | ||||
\(916\) | 29.8996 | + | 21.9271i | 0.987911 | + | 0.724491i | ||||
\(917\) | 1.66583 | − | 4.02167i | 0.0550105 | − | 0.132807i | ||||
\(918\) | 4.47888 | + | 49.1612i | 0.147825 | + | 1.62256i | ||||
\(919\) | −15.4201 | − | 15.4201i | −0.508662 | − | 0.508662i | 0.405454 | − | 0.914116i | \(-0.367114\pi\) |
−0.914116 | + | 0.405454i | \(0.867114\pi\) | |||||||
\(920\) | −5.04922 | + | 1.53098i | −0.166468 | + | 0.0504750i | ||||
\(921\) | 16.4587 | − | 30.3481i | 0.542333 | − | 1.00000i | ||||
\(922\) | −1.28564 | + | 2.28375i | −0.0423403 | + | 0.0752114i | ||||
\(923\) | −6.89971 | + | 0.908364i | −0.227107 | + | 0.0298992i | ||||
\(924\) | 19.9352 | + | 18.0933i | 0.655821 | + | 0.595227i | ||||
\(925\) | −1.04335 | + | 7.92504i | −0.0343052 | + | 0.260574i | ||||
\(926\) | −3.41232 | − | 23.9084i | −0.112136 | − | 0.785680i | ||||
\(927\) | 7.60760 | − | 14.9665i | 0.249866 | − | 0.491563i | ||||
\(928\) | −11.1910 | + | 22.0714i | −0.367364 | + | 0.724528i | ||||
\(929\) | 40.7702 | + | 23.5387i | 1.33763 | + | 0.772279i | 0.986455 | − | 0.164033i | \(-0.0524503\pi\) |
0.351171 | + | 0.936311i | \(0.385784\pi\) | |||||||
\(930\) | 9.09987 | + | 6.45492i | 0.298396 | + | 0.211665i | ||||
\(931\) | −0.309831 | + | 0.403780i | −0.0101543 | + | 0.0132333i | ||||
\(932\) | 0.0184709 | + | 0.849712i | 0.000605033 | + | 0.0278332i | ||||
\(933\) | −20.5012 | + | 9.13958i | −0.671179 | + | 0.299216i | ||||
\(934\) | −0.233570 | − | 21.4923i | −0.00764265 | − | 0.703250i | ||||
\(935\) | −19.2680 | − | 19.2680i | −0.630131 | − | 0.630131i | ||||
\(936\) | −21.6480 | + | 46.2623i | −0.707586 | + | 1.51213i | ||||
\(937\) | 12.8628 | − | 12.8628i | 0.420211 | − | 0.420211i | −0.465066 | − | 0.885276i | \(-0.653969\pi\) |
0.885276 | + | 0.465066i | \(0.153969\pi\) | |||||||
\(938\) | −44.9931 | − | 44.0257i | −1.46908 | − | 1.43749i | ||||
\(939\) | −0.864080 | + | 1.19051i | −0.0281982 | + | 0.0388509i | ||||
\(940\) | 24.4705 | − | 10.7649i | 0.798139 | − | 0.351111i | ||||
\(941\) | −8.62323 | − | 6.61683i | −0.281109 | − | 0.215703i | 0.458577 | − | 0.888655i | \(-0.348359\pi\) |
−0.739686 | + | 0.672952i | \(0.765026\pi\) | |||||||
\(942\) | 14.7922 | + | 5.48640i | 0.481957 | + | 0.178757i | ||||
\(943\) | 1.47361 | − | 2.55237i | 0.0479874 | − | 0.0831166i | ||||
\(944\) | 7.96114 | + | 45.1933i | 0.259113 | + | 1.47092i | ||||
\(945\) | −17.3001 | − | 14.7324i | −0.562773 | − | 0.479246i | ||||
\(946\) | 20.2698 | + | 15.2065i | 0.659029 | + | 0.494406i | ||||
\(947\) | 5.41366 | + | 0.712722i | 0.175920 | + | 0.0231603i | 0.217972 | − | 0.975955i | \(-0.430056\pi\) |
−0.0420513 | + | 0.999115i | \(0.513389\pi\) | |||||||
\(948\) | −7.46527 | + | 10.7704i | −0.242461 | + | 0.349805i | ||||
\(949\) | 6.33537 | + | 48.1219i | 0.205655 | + | 1.56210i | ||||
\(950\) | −1.36648 | + | 0.382111i | −0.0443346 | + | 0.0123973i | ||||
\(951\) | 4.12898 | − | 2.53298i | 0.133891 | − | 0.0821377i | ||||
\(952\) | −42.5186 | + | 34.8853i | −1.37803 | + | 1.13064i | ||||
\(953\) | 18.9942 | − | 18.9942i | 0.615284 | − | 0.615284i | −0.329034 | − | 0.944318i | \(-0.606723\pi\) |
0.944318 | + | 0.329034i | \(0.106723\pi\) | |||||||
\(954\) | −25.7012 | − | 38.5695i | −0.832108 | − | 1.24873i | ||||
\(955\) | 2.63896 | + | 1.09309i | 0.0853948 | + | 0.0353717i | ||||
\(956\) | −9.62153 | − | 2.35521i | −0.311182 | − | 0.0761730i | ||||
\(957\) | 7.28131 | − | 18.9959i | 0.235371 | − | 0.614049i | ||||
\(958\) | 23.6908 | − | 18.5911i | 0.765417 | − | 0.600652i | ||||
\(959\) | 14.0234 | + | 24.2892i | 0.452838 | + | 0.784338i | ||||
\(960\) | −20.8457 | + | 1.92041i | −0.672793 | + | 0.0619811i | ||||
\(961\) | −10.9554 | + | 18.9754i | −0.353401 | + | 0.612109i | ||||
\(962\) | −3.53792 | − | 24.7885i | −0.114067 | − | 0.799214i | ||||
\(963\) | 15.7986 | − | 23.0348i | 0.509104 | − | 0.742285i | ||||
\(964\) | −9.91135 | − | 34.0147i | −0.319223 | − | 1.09554i | ||||
\(965\) | 13.8926 | − | 10.6602i | 0.447219 | − | 0.343163i | ||||
\(966\) | −2.58155 | − | 8.36531i | −0.0830599 | − | 0.269149i | ||||
\(967\) | −32.3658 | − | 8.67240i | −1.04081 | − | 0.278885i | −0.302364 | − | 0.953193i | \(-0.597776\pi\) |
−0.738451 | + | 0.674307i | \(0.764442\pi\) | |||||||
\(968\) | 10.5803 | − | 1.74548i | 0.340065 | − | 0.0561018i | ||||
\(969\) | 2.04795 | − | 3.77621i | 0.0657897 | − | 0.121309i | ||||
\(970\) | −28.1638 | − | 27.5582i | −0.904284 | − | 0.884841i | ||||
\(971\) | 23.0011 | + | 9.52735i | 0.738139 | + | 0.305747i | 0.719892 | − | 0.694086i | \(-0.244191\pi\) |
0.0182473 | + | 0.999834i | \(0.494191\pi\) | |||||||
\(972\) | −27.3685 | − | 14.9320i | −0.877846 | − | 0.478944i | ||||
\(973\) | 12.2521 | + | 29.5792i | 0.392784 | + | 0.948265i | ||||
\(974\) | −13.8391 | + | 5.90936i | −0.443435 | + | 0.189348i | ||||
\(975\) | −8.06013 | − | 27.1624i | −0.258131 | − | 0.869893i | ||||
\(976\) | −17.1236 | − | 1.50096i | −0.548112 | − | 0.0480444i | ||||
\(977\) | −18.0375 | − | 31.2419i | −0.577071 | − | 0.999517i | −0.995813 | − | 0.0914117i | \(-0.970862\pi\) |
0.418742 | − | 0.908105i | \(-0.362471\pi\) | |||||||
\(978\) | −20.9335 | − | 25.2591i | −0.669380 | − | 0.807697i | ||||
\(979\) | 2.47163 | − | 18.7739i | 0.0789936 | − | 0.600016i | ||||
\(980\) | 0.453805 | − | 4.14052i | 0.0144963 | − | 0.132264i | ||||
\(981\) | 53.4479 | − | 9.95937i | 1.70646 | − | 0.317978i | ||||
\(982\) | −8.79512 | + | 34.3110i | −0.280663 | + | 1.09491i | ||||
\(983\) | 11.0916 | + | 41.3945i | 0.353768 | + | 1.32028i | 0.882028 | + | 0.471197i | \(0.156178\pi\) |
−0.528260 | + | 0.849083i | \(0.677155\pi\) | |||||||
\(984\) | 7.76426 | − | 8.74374i | 0.247515 | − | 0.278740i | ||||
\(985\) | 0.931634 | − | 3.47691i | 0.0296843 | − | 0.110783i | ||||
\(986\) | 36.2155 | + | 20.3875i | 1.15333 | + | 0.649270i | ||||
\(987\) | 18.0615 | + | 40.5142i | 0.574904 | + | 1.28958i | ||||
\(988\) | 3.80008 | − | 2.30552i | 0.120897 | − | 0.0733482i | ||||
\(989\) | −3.15336 | − | 7.61289i | −0.100271 | − | 0.242076i | ||||
\(990\) | 16.8830 | − | 3.33617i | 0.536577 | − | 0.106031i | ||||
\(991\) | − | 9.65591i | − | 0.306730i | −0.988170 | − | 0.153365i | \(-0.950989\pi\) | ||
0.988170 | − | 0.153365i | \(-0.0490110\pi\) | |||||||
\(992\) | 3.14105 | + | 16.7626i | 0.0997283 | + | 0.532214i | ||||
\(993\) | −28.2485 | − | 6.76745i | −0.896440 | − | 0.214759i | ||||
\(994\) | 3.72313 | − | 2.92168i | 0.118091 | − | 0.0926702i | ||||
\(995\) | −21.6889 | − | 16.6425i | −0.687586 | − | 0.527603i | ||||
\(996\) | −2.80015 | − | 0.606798i | −0.0887262 | − | 0.0192271i | ||||
\(997\) | −8.88320 | − | 11.5768i | −0.281334 | − | 0.366641i | 0.631216 | − | 0.775607i | \(-0.282556\pi\) |
−0.912550 | + | 0.408966i | \(0.865890\pi\) | |||||||
\(998\) | 25.2571 | + | 42.6689i | 0.799498 | + | 1.35066i | ||||
\(999\) | 15.2352 | − | 1.22124i | 0.482021 | − | 0.0386383i |
(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 | 288.2.bf.a.11.6 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.41 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.37 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.10 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.10 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.37 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.41 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.6 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.6 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.6 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.10 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.10 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.37 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.37 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.41 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.41 | 368 | 3.2 | odd | 2 |