Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 64.3 | ||
Character | \(\chi\) | \(=\) | 483.64 |
Dual form | 483.2.q.d.400.3 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0618105 | − | 0.0181492i | −0.0437066 | − | 0.0128334i | 0.259806 | − | 0.965661i | \(-0.416341\pi\) |
−0.303513 | + | 0.952827i | \(0.598160\pi\) | |||||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | −1.67902 | − | 1.07904i | −0.839508 | − | 0.539519i | ||||
\(5\) | −0.424340 | + | 2.95135i | −0.189771 | + | 1.31988i | 0.642830 | + | 0.766009i | \(0.277760\pi\) |
−0.832600 | + | 0.553874i | \(0.813149\pi\) | |||||||
\(6\) | −0.0541936 | + | 0.0348281i | −0.0221244 | + | 0.0142185i | ||||
\(7\) | 0.415415 | + | 0.909632i | 0.157012 | + | 0.343809i | ||||
\(8\) | 0.168569 | + | 0.194540i | 0.0595983 | + | 0.0687801i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0.0797933 | − | 0.174723i | 0.0252329 | − | 0.0552523i | ||||
\(11\) | −5.22740 | + | 1.53490i | −1.57612 | + | 0.462791i | −0.948776 | − | 0.315950i | \(-0.897677\pi\) |
−0.627346 | + | 0.778741i | \(0.715859\pi\) | |||||||
\(12\) | −1.91500 | + | 0.562296i | −0.552814 | + | 0.162321i | ||||
\(13\) | 0.149653 | − | 0.327694i | 0.0415062 | − | 0.0908859i | −0.887743 | − | 0.460339i | \(-0.847728\pi\) |
0.929249 | + | 0.369453i | \(0.120455\pi\) | |||||||
\(14\) | −0.00916792 | − | 0.0637643i | −0.00245023 | − | 0.0170417i | ||||
\(15\) | 1.95260 | + | 2.25342i | 0.504158 | + | 0.581830i | ||||
\(16\) | 1.65132 | + | 3.61589i | 0.412831 | + | 0.903974i | ||||
\(17\) | −3.74487 | + | 2.40668i | −0.908265 | + | 0.583706i | −0.909230 | − | 0.416293i | \(-0.863329\pi\) |
0.000965725 | 1.00000i | \(0.499693\pi\) | ||||||||
\(18\) | −0.00916792 | + | 0.0637643i | −0.00216090 | + | 0.0150294i | ||||
\(19\) | −2.77782 | − | 1.78519i | −0.637275 | − | 0.409552i | 0.181722 | − | 0.983350i | \(-0.441833\pi\) |
−0.818997 | + | 0.573798i | \(0.805469\pi\) | |||||||
\(20\) | 3.89709 | − | 4.49748i | 0.871416 | − | 1.00567i | ||||
\(21\) | 0.959493 | + | 0.281733i | 0.209379 | + | 0.0614791i | ||||
\(22\) | 0.350966 | 0.0748262 | ||||||||
\(23\) | 0.157333 | + | 4.79325i | 0.0328061 | + | 0.999462i | ||||
\(24\) | 0.257413 | 0.0525441 | ||||||||
\(25\) | −3.73293 | − | 1.09609i | −0.746585 | − | 0.219217i | ||||
\(26\) | −0.0151975 | + | 0.0175388i | −0.00298047 | + | 0.00343965i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0.284039 | − | 1.97554i | 0.0536783 | − | 0.373341i | ||||
\(29\) | −2.90293 | + | 1.86560i | −0.539060 | + | 0.346433i | −0.781671 | − | 0.623691i | \(-0.785632\pi\) |
0.242611 | + | 0.970124i | \(0.421996\pi\) | |||||||
\(30\) | −0.0797933 | − | 0.174723i | −0.0145682 | − | 0.0318999i | ||||
\(31\) | 4.76100 | + | 5.49448i | 0.855100 | + | 0.986838i | 0.999997 | − | 0.00260860i | \(-0.000830345\pi\) |
−0.144896 | + | 0.989447i | \(0.546285\pi\) | |||||||
\(32\) | −0.109711 | − | 0.763056i | −0.0193943 | − | 0.134890i | ||||
\(33\) | −2.26322 | + | 4.95576i | −0.393976 | + | 0.862687i | ||||
\(34\) | 0.275152 | − | 0.0807919i | 0.0471882 | − | 0.0138557i | ||||
\(35\) | −2.86092 | + | 0.840041i | −0.483583 | + | 0.141993i | ||||
\(36\) | −0.829106 | + | 1.81549i | −0.138184 | + | 0.302582i | ||||
\(37\) | 0.108745 | + | 0.756341i | 0.0178776 | + | 0.124342i | 0.996806 | − | 0.0798630i | \(-0.0254483\pi\) |
−0.978928 | + | 0.204205i | \(0.934539\pi\) | |||||||
\(38\) | 0.139298 | + | 0.160759i | 0.0225972 | + | 0.0260785i | ||||
\(39\) | −0.149653 | − | 0.327694i | −0.0239636 | − | 0.0524730i | ||||
\(40\) | −0.645685 | + | 0.414956i | −0.102092 | + | 0.0656103i | ||||
\(41\) | 0.370060 | − | 2.57382i | 0.0577937 | − | 0.401964i | −0.940305 | − | 0.340332i | \(-0.889460\pi\) |
0.998099 | − | 0.0616317i | \(-0.0196304\pi\) | |||||||
\(42\) | −0.0541936 | − | 0.0348281i | −0.00836225 | − | 0.00537409i | ||||
\(43\) | −0.763111 | + | 0.880676i | −0.116373 | + | 0.134302i | −0.810947 | − | 0.585120i | \(-0.801048\pi\) |
0.694574 | + | 0.719422i | \(0.255593\pi\) | |||||||
\(44\) | 10.4331 | + | 3.06344i | 1.57285 | + | 0.461831i | ||||
\(45\) | 2.98170 | 0.444485 | ||||||||
\(46\) | 0.0772689 | − | 0.299129i | 0.0113927 | − | 0.0441041i | ||||
\(47\) | 3.36482 | 0.490810 | 0.245405 | − | 0.969421i | \(-0.421079\pi\) | ||||
0.245405 | + | 0.969421i | \(0.421079\pi\) | |||||||
\(48\) | 3.81410 | + | 1.11992i | 0.550518 | + | 0.161647i | ||||
\(49\) | −0.654861 | + | 0.755750i | −0.0935515 | + | 0.107964i | ||||
\(50\) | 0.210841 | + | 0.135499i | 0.0298174 | + | 0.0191625i | ||||
\(51\) | −0.633520 | + | 4.40623i | −0.0887105 | + | 0.616995i | ||||
\(52\) | −0.604863 | + | 0.388722i | −0.0838794 | + | 0.0539060i | ||||
\(53\) | 4.66494 | + | 10.2148i | 0.640778 | + | 1.40311i | 0.899399 | + | 0.437129i | \(0.144005\pi\) |
−0.258621 | + | 0.965979i | \(0.583268\pi\) | |||||||
\(54\) | 0.0421861 | + | 0.0486854i | 0.00574080 | + | 0.00662524i | ||||
\(55\) | −2.31184 | − | 16.0792i | −0.311729 | − | 2.16812i | ||||
\(56\) | −0.106933 | + | 0.234151i | −0.0142895 | + | 0.0312897i | ||||
\(57\) | −3.16824 | + | 0.930280i | −0.419644 | + | 0.123219i | ||||
\(58\) | 0.213291 | − | 0.0626278i | 0.0280064 | − | 0.00822343i | ||||
\(59\) | 4.14385 | − | 9.07376i | 0.539483 | − | 1.18130i | −0.422040 | − | 0.906577i | \(-0.638686\pi\) |
0.961523 | − | 0.274725i | \(-0.0885869\pi\) | |||||||
\(60\) | −0.846919 | − | 5.89045i | −0.109337 | − | 0.760454i | ||||
\(61\) | −6.29161 | − | 7.26091i | −0.805558 | − | 0.929664i | 0.193114 | − | 0.981176i | \(-0.438141\pi\) |
−0.998672 | + | 0.0515125i | \(0.983596\pi\) | |||||||
\(62\) | −0.194559 | − | 0.426025i | −0.0247090 | − | 0.0541053i | ||||
\(63\) | 0.841254 | − | 0.540641i | 0.105988 | − | 0.0681143i | ||||
\(64\) | 1.12437 | − | 7.82016i | 0.140546 | − | 0.977520i | ||||
\(65\) | 0.903634 | + | 0.580731i | 0.112082 | + | 0.0720308i | ||||
\(66\) | 0.229834 | − | 0.265242i | 0.0282906 | − | 0.0326491i | ||||
\(67\) | −8.16946 | − | 2.39877i | −0.998058 | − | 0.293056i | −0.258399 | − | 0.966038i | \(-0.583195\pi\) |
−0.739659 | + | 0.672982i | \(0.765013\pi\) | |||||||
\(68\) | 8.88460 | 1.07742 | ||||||||
\(69\) | 3.72553 | + | 3.02001i | 0.448501 | + | 0.363566i | ||||
\(70\) | 0.192081 | 0.0229581 | ||||||||
\(71\) | 2.75019 | + | 0.807528i | 0.326387 | + | 0.0958359i | 0.440821 | − | 0.897595i | \(-0.354687\pi\) |
−0.114434 | + | 0.993431i | \(0.536505\pi\) | |||||||
\(72\) | 0.168569 | − | 0.194540i | 0.0198661 | − | 0.0229267i | ||||
\(73\) | −8.58939 | − | 5.52006i | −1.00531 | − | 0.646075i | −0.0691361 | − | 0.997607i | \(-0.522024\pi\) |
−0.936176 | + | 0.351533i | \(0.885661\pi\) | |||||||
\(74\) | 0.00700538 | − | 0.0487235i | 0.000814359 | − | 0.00566399i | ||||
\(75\) | −3.27291 | + | 2.10337i | −0.377923 | + | 0.242877i | ||||
\(76\) | 2.73770 | + | 5.99474i | 0.314036 | + | 0.687643i | ||||
\(77\) | −3.56774 | − | 4.11739i | −0.406582 | − | 0.469220i | ||||
\(78\) | 0.00330273 | + | 0.0229710i | 0.000373961 | + | 0.00260095i | ||||
\(79\) | 5.60240 | − | 12.2676i | 0.630320 | − | 1.38021i | −0.277451 | − | 0.960740i | \(-0.589490\pi\) |
0.907770 | − | 0.419468i | \(-0.137783\pi\) | |||||||
\(80\) | −11.3725 | + | 3.33926i | −1.27148 | + | 0.373341i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −0.0695865 | + | 0.152373i | −0.00768454 | + | 0.0168268i | ||||
\(83\) | 0.333696 | + | 2.32091i | 0.0366279 | + | 0.254753i | 0.999905 | − | 0.0137553i | \(-0.00437858\pi\) |
−0.963278 | + | 0.268508i | \(0.913469\pi\) | |||||||
\(84\) | −1.30700 | − | 1.50836i | −0.142606 | − | 0.164576i | ||||
\(85\) | −5.51386 | − | 12.0737i | −0.598062 | − | 1.30957i | ||||
\(86\) | 0.0631519 | − | 0.0405852i | 0.00680984 | − | 0.00437642i | ||||
\(87\) | −0.491088 | + | 3.41559i | −0.0526502 | + | 0.366190i | ||||
\(88\) | −1.17978 | − | 0.758199i | −0.125765 | − | 0.0808243i | ||||
\(89\) | −9.53851 | + | 11.0080i | −1.01108 | + | 1.16685i | −0.0251511 | + | 0.999684i | \(0.508007\pi\) |
−0.985929 | + | 0.167165i | \(0.946539\pi\) | |||||||
\(90\) | −0.184300 | − | 0.0541155i | −0.0194270 | − | 0.00570427i | ||||
\(91\) | 0.360249 | 0.0377643 | ||||||||
\(92\) | 4.90793 | − | 8.21771i | 0.511688 | − | 0.856756i | ||||
\(93\) | 7.27024 | 0.753889 | ||||||||
\(94\) | −0.207981 | − | 0.0610688i | −0.0214516 | − | 0.00629877i | ||||
\(95\) | 6.44747 | − | 7.44077i | 0.661496 | − | 0.763407i | ||||
\(96\) | −0.648524 | − | 0.416781i | −0.0661897 | − | 0.0425376i | ||||
\(97\) | −2.31779 | + | 16.1206i | −0.235336 | + | 1.63680i | 0.439081 | + | 0.898447i | \(0.355304\pi\) |
−0.674417 | + | 0.738351i | \(0.735605\pi\) | |||||||
\(98\) | 0.0541936 | − | 0.0348281i | 0.00547438 | − | 0.00351817i | ||||
\(99\) | 2.26322 | + | 4.95576i | 0.227462 | + | 0.498072i | ||||
\(100\) | 5.08492 | + | 5.86832i | 0.508492 | + | 0.586832i | ||||
\(101\) | −0.687819 | − | 4.78389i | −0.0684406 | − | 0.476015i | −0.995001 | − | 0.0998680i | \(-0.968158\pi\) |
0.926560 | − | 0.376147i | \(-0.122751\pi\) | |||||||
\(102\) | 0.119128 | − | 0.260853i | 0.0117954 | − | 0.0258283i | ||||
\(103\) | 3.26683 | − | 0.959229i | 0.321891 | − | 0.0945157i | −0.116795 | − | 0.993156i | \(-0.537262\pi\) |
0.438686 | + | 0.898640i | \(0.355444\pi\) | |||||||
\(104\) | 0.0889762 | − | 0.0261258i | 0.00872484 | − | 0.00256184i | ||||
\(105\) | −1.23864 | + | 2.71225i | −0.120879 | + | 0.264688i | ||||
\(106\) | −0.102952 | − | 0.716046i | −0.00999957 | − | 0.0695485i | ||||
\(107\) | −5.48443 | − | 6.32937i | −0.530200 | − | 0.611883i | 0.425955 | − | 0.904744i | \(-0.359938\pi\) |
−0.956155 | + | 0.292861i | \(0.905393\pi\) | |||||||
\(108\) | 0.829106 | + | 1.81549i | 0.0797808 | + | 0.174696i | ||||
\(109\) | −5.45263 | + | 3.50419i | −0.522268 | + | 0.335641i | −0.775068 | − | 0.631877i | \(-0.782285\pi\) |
0.252801 | + | 0.967518i | \(0.418648\pi\) | |||||||
\(110\) | −0.148929 | + | 1.03582i | −0.0141998 | + | 0.0987618i | ||||
\(111\) | 0.642818 | + | 0.413114i | 0.0610136 | + | 0.0392110i | ||||
\(112\) | −2.60315 | + | 3.00419i | −0.245974 | + | 0.283870i | ||||
\(113\) | 9.91390 | + | 2.91098i | 0.932621 | + | 0.273842i | 0.712534 | − | 0.701638i | \(-0.247548\pi\) |
0.220087 | + | 0.975480i | \(0.429366\pi\) | |||||||
\(114\) | 0.212715 | 0.0199225 | ||||||||
\(115\) | −14.2133 | − | 1.56962i | −1.32540 | − | 0.146368i | ||||
\(116\) | 6.88711 | 0.639453 | ||||||||
\(117\) | −0.345656 | − | 0.101494i | −0.0319559 | − | 0.00938310i | ||||
\(118\) | −0.420815 | + | 0.485646i | −0.0387391 | + | 0.0447074i | ||||
\(119\) | −3.74487 | − | 2.40668i | −0.343292 | − | 0.220620i | ||||
\(120\) | −0.109230 | + | 0.759714i | −0.00997133 | + | 0.0693521i | ||||
\(121\) | 15.7160 | − | 10.1001i | 1.42873 | − | 0.918189i | ||||
\(122\) | 0.257108 | + | 0.562988i | 0.0232775 | + | 0.0509706i | ||||
\(123\) | −1.70283 | − | 1.96517i | −0.153539 | − | 0.177193i | ||||
\(124\) | −2.06503 | − | 14.3626i | −0.185445 | − | 1.28980i | ||||
\(125\) | −1.37425 | + | 3.00919i | −0.122917 | + | 0.269150i | ||||
\(126\) | −0.0618105 | + | 0.0181492i | −0.00550652 | + | 0.00161686i | ||||
\(127\) | 16.3145 | − | 4.79037i | 1.44768 | − | 0.425076i | 0.538904 | − | 0.842367i | \(-0.318839\pi\) |
0.908773 | + | 0.417291i | \(0.137021\pi\) | |||||||
\(128\) | −0.851916 | + | 1.86544i | −0.0752995 | + | 0.164883i | ||||
\(129\) | 0.165840 | + | 1.15344i | 0.0146014 | + | 0.101555i | ||||
\(130\) | −0.0453143 | − | 0.0522955i | −0.00397433 | − | 0.00458662i | ||||
\(131\) | −3.24466 | − | 7.10481i | −0.283487 | − | 0.620750i | 0.713299 | − | 0.700860i | \(-0.247200\pi\) |
−0.996786 | + | 0.0801100i | \(0.974473\pi\) | |||||||
\(132\) | 9.14743 | − | 5.87870i | 0.796182 | − | 0.511675i | ||||
\(133\) | 0.469923 | − | 3.26839i | 0.0407475 | − | 0.283405i | ||||
\(134\) | 0.461423 | + | 0.296538i | 0.0398609 | + | 0.0256170i | ||||
\(135\) | 1.95260 | − | 2.25342i | 0.168053 | − | 0.193943i | ||||
\(136\) | −1.09947 | − | 0.322832i | −0.0942784 | − | 0.0276826i | ||||
\(137\) | 4.47653 | 0.382456 | 0.191228 | − | 0.981546i | \(-0.438753\pi\) | ||||
0.191228 | + | 0.981546i | \(0.438753\pi\) | |||||||
\(138\) | −0.175466 | − | 0.254284i | −0.0149367 | − | 0.0216461i | ||||
\(139\) | 13.3949 | 1.13614 | 0.568071 | − | 0.822980i | \(-0.307690\pi\) | ||||
0.568071 | + | 0.822980i | \(0.307690\pi\) | |||||||
\(140\) | 5.70996 | + | 1.67660i | 0.482580 | + | 0.141698i | ||||
\(141\) | 2.20349 | − | 2.54296i | 0.185567 | − | 0.214156i | ||||
\(142\) | −0.155335 | − | 0.0998275i | −0.0130354 | − | 0.00837734i | ||||
\(143\) | −0.279317 | + | 1.94269i | −0.0233576 | + | 0.162456i | ||||
\(144\) | 3.34408 | − | 2.14911i | 0.278673 | − | 0.179093i | ||||
\(145\) | −4.27420 | − | 9.35920i | −0.354953 | − | 0.777239i | ||||
\(146\) | 0.430730 | + | 0.497089i | 0.0356475 | + | 0.0411394i | ||||
\(147\) | 0.142315 | + | 0.989821i | 0.0117379 | + | 0.0816391i | ||||
\(148\) | 0.633536 | − | 1.38725i | 0.0520763 | − | 0.114031i | ||||
\(149\) | 22.1367 | − | 6.49993i | 1.81351 | − | 0.532495i | 0.814638 | − | 0.579970i | \(-0.196936\pi\) |
0.998872 | + | 0.0474755i | \(0.0151176\pi\) | |||||||
\(150\) | 0.240475 | − | 0.0706099i | 0.0196347 | − | 0.00576527i | ||||
\(151\) | −8.02844 | + | 17.5798i | −0.653345 | + | 1.43063i | 0.235251 | + | 0.971935i | \(0.424409\pi\) |
−0.888596 | + | 0.458691i | \(0.848318\pi\) | |||||||
\(152\) | −0.120964 | − | 0.841324i | −0.00981149 | − | 0.0682404i | ||||
\(153\) | 2.91514 | + | 3.36425i | 0.235675 | + | 0.271983i | ||||
\(154\) | 0.145797 | + | 0.319250i | 0.0117486 | + | 0.0257259i | ||||
\(155\) | −18.2364 | + | 11.7198i | −1.46478 | + | 0.941359i | ||||
\(156\) | −0.102325 | + | 0.711684i | −0.00819253 | + | 0.0569803i | ||||
\(157\) | 13.2728 | + | 8.52993i | 1.05929 | + | 0.680762i | 0.949683 | − | 0.313213i | \(-0.101405\pi\) |
0.109604 | + | 0.993975i | \(0.465042\pi\) | |||||||
\(158\) | −0.568934 | + | 0.656585i | −0.0452620 | + | 0.0522351i | ||||
\(159\) | 10.7747 | + | 3.16374i | 0.854489 | + | 0.250901i | ||||
\(160\) | 2.29860 | 0.181720 | ||||||||
\(161\) | −4.29474 | + | 2.13430i | −0.338473 | + | 0.168207i | ||||
\(162\) | 0.0644200 | 0.00506131 | ||||||||
\(163\) | 4.25916 | + | 1.25060i | 0.333603 | + | 0.0979548i | 0.444244 | − | 0.895906i | \(-0.353472\pi\) |
−0.110641 | + | 0.993860i | \(0.535290\pi\) | |||||||
\(164\) | −3.39859 | + | 3.92218i | −0.265385 | + | 0.306271i | ||||
\(165\) | −13.6658 | − | 8.78247i | −1.06388 | − | 0.683714i | ||||
\(166\) | 0.0214967 | − | 0.149513i | 0.00166847 | − | 0.0116044i | ||||
\(167\) | −1.71278 | + | 1.10074i | −0.132539 | + | 0.0851776i | −0.605230 | − | 0.796051i | \(-0.706919\pi\) |
0.472691 | + | 0.881228i | \(0.343283\pi\) | |||||||
\(168\) | 0.106933 | + | 0.234151i | 0.00825007 | + | 0.0180651i | ||||
\(169\) | 8.42820 | + | 9.72666i | 0.648323 | + | 0.748205i | ||||
\(170\) | 0.121687 | + | 0.846352i | 0.00933297 | + | 0.0649123i | ||||
\(171\) | −1.37170 | + | 3.00360i | −0.104896 | + | 0.229691i | ||||
\(172\) | 2.23156 | − | 0.655245i | 0.170155 | − | 0.0499619i | ||||
\(173\) | −22.2445 | + | 6.53159i | −1.69122 | + | 0.496587i | −0.978740 | − | 0.205104i | \(-0.934247\pi\) |
−0.712481 | + | 0.701691i | \(0.752429\pi\) | |||||||
\(174\) | 0.0923448 | − | 0.202207i | 0.00700064 | − | 0.0153293i | ||||
\(175\) | −0.553679 | − | 3.85092i | −0.0418542 | − | 0.291102i | ||||
\(176\) | −14.1822 | − | 16.3671i | −1.06902 | − | 1.23372i | ||||
\(177\) | −4.14385 | − | 9.07376i | −0.311471 | − | 0.682025i | ||||
\(178\) | 0.789367 | − | 0.507296i | 0.0591656 | − | 0.0380234i | ||||
\(179\) | 1.58143 | − | 10.9991i | 0.118202 | − | 0.822111i | −0.841332 | − | 0.540518i | \(-0.818228\pi\) |
0.959534 | − | 0.281593i | \(-0.0908627\pi\) | |||||||
\(180\) | −5.00632 | − | 3.21736i | −0.373149 | − | 0.239808i | ||||
\(181\) | −14.2591 | + | 16.4558i | −1.05987 | + | 1.22315i | −0.0859380 | + | 0.996300i | \(0.527389\pi\) |
−0.973929 | + | 0.226852i | \(0.927157\pi\) | |||||||
\(182\) | −0.0222672 | − | 0.00653823i | −0.00165055 | − | 0.000484646i | ||||
\(183\) | −9.60756 | −0.710211 | ||||||||
\(184\) | −0.905955 | + | 0.838603i | −0.0667879 | + | 0.0618226i | ||||
\(185\) | −2.27837 | −0.167509 | ||||||||
\(186\) | −0.449378 | − | 0.131949i | −0.0329500 | − | 0.00967498i | ||||
\(187\) | 15.8819 | − | 18.3287i | 1.16140 | − | 1.34033i | ||||
\(188\) | −5.64959 | − | 3.63077i | −0.412039 | − | 0.264801i | ||||
\(189\) | 0.142315 | − | 0.989821i | 0.0103519 | − | 0.0719989i | ||||
\(190\) | −0.533565 | + | 0.342902i | −0.0387089 | + | 0.0248767i | ||||
\(191\) | 4.22009 | + | 9.24072i | 0.305355 | + | 0.668635i | 0.998646 | − | 0.0520233i | \(-0.0165670\pi\) |
−0.693291 | + | 0.720658i | \(0.743840\pi\) | |||||||
\(192\) | −5.17378 | − | 5.97086i | −0.373385 | − | 0.430909i | ||||
\(193\) | −0.0957659 | − | 0.666067i | −0.00689338 | − | 0.0479445i | 0.986084 | − | 0.166245i | \(-0.0531644\pi\) |
−0.992978 | + | 0.118301i | \(0.962255\pi\) | |||||||
\(194\) | 0.435840 | − | 0.954356i | 0.0312915 | − | 0.0685188i | ||||
\(195\) | 1.03064 | − | 0.302624i | 0.0738058 | − | 0.0216713i | ||||
\(196\) | 1.91500 | − | 0.562296i | 0.136786 | − | 0.0401640i | ||||
\(197\) | −6.95686 | + | 15.2334i | −0.495656 | + | 1.08533i | 0.482201 | + | 0.876060i | \(0.339837\pi\) |
−0.977857 | + | 0.209274i | \(0.932890\pi\) | |||||||
\(198\) | −0.0499477 | − | 0.347394i | −0.00354963 | − | 0.0246882i | ||||
\(199\) | −11.1123 | − | 12.8243i | −0.787731 | − | 0.909090i | 0.209911 | − | 0.977721i | \(-0.432683\pi\) |
−0.997642 | + | 0.0686302i | \(0.978137\pi\) | |||||||
\(200\) | −0.416025 | − | 0.910968i | −0.0294174 | − | 0.0644152i | ||||
\(201\) | −7.16273 | + | 4.60320i | −0.505220 | + | 0.324685i | ||||
\(202\) | −0.0443093 | + | 0.308178i | −0.00311759 | + | 0.0216833i | ||||
\(203\) | −2.90293 | − | 1.86560i | −0.203746 | − | 0.130939i | ||||
\(204\) | 5.81818 | − | 6.71453i | 0.407354 | − | 0.470111i | ||||
\(205\) | 7.43922 | + | 2.18435i | 0.519578 | + | 0.152562i | ||||
\(206\) | −0.219334 | −0.0152817 | ||||||||
\(207\) | 4.72207 | − | 0.837882i | 0.328207 | − | 0.0582368i | ||||
\(208\) | 1.43203 | 0.0992935 | ||||||||
\(209\) | 17.2609 | + | 5.06825i | 1.19396 | + | 0.350578i | ||||
\(210\) | 0.125786 | − | 0.145165i | 0.00868008 | − | 0.0100173i | ||||
\(211\) | 17.8502 | + | 11.4716i | 1.22886 | + | 0.789739i | 0.983713 | − | 0.179747i | \(-0.0575279\pi\) |
0.245146 | + | 0.969486i | \(0.421164\pi\) | |||||||
\(212\) | 3.18964 | − | 22.1844i | 0.219065 | − | 1.52363i | ||||
\(213\) | 2.41128 | − | 1.54963i | 0.165218 | − | 0.106179i | ||||
\(214\) | 0.224123 | + | 0.490760i | 0.0153207 | + | 0.0335477i | ||||
\(215\) | −2.27536 | − | 2.62591i | −0.155179 | − | 0.179086i | ||||
\(216\) | −0.0366336 | − | 0.254793i | −0.00249260 | − | 0.0173364i | ||||
\(217\) | −3.02017 | + | 6.61325i | −0.205022 | + | 0.448936i | ||||
\(218\) | 0.400629 | − | 0.117635i | 0.0271340 | − | 0.00796726i | ||||
\(219\) | −9.79664 | + | 2.87655i | −0.661996 | + | 0.194379i | ||||
\(220\) | −13.4685 | + | 29.4918i | −0.908043 | + | 1.98834i | ||||
\(221\) | 0.228225 | + | 1.58734i | 0.0153520 | + | 0.106776i | ||||
\(222\) | −0.0322352 | − | 0.0372014i | −0.00216349 | − | 0.00249680i | ||||
\(223\) | 4.25415 | + | 9.31529i | 0.284879 | + | 0.623798i | 0.996927 | − | 0.0783327i | \(-0.0249596\pi\) |
−0.712048 | + | 0.702130i | \(0.752232\pi\) | |||||||
\(224\) | 0.648524 | − | 0.416781i | 0.0433314 | − | 0.0278474i | ||||
\(225\) | −0.553679 | + | 3.85092i | −0.0369119 | + | 0.256728i | ||||
\(226\) | −0.559951 | − | 0.359859i | −0.0372474 | − | 0.0239375i | ||||
\(227\) | 5.66236 | − | 6.53471i | 0.375824 | − | 0.433724i | −0.536055 | − | 0.844183i | \(-0.680086\pi\) |
0.911879 | + | 0.410459i | \(0.134632\pi\) | |||||||
\(228\) | 6.32334 | + | 1.85670i | 0.418773 | + | 0.122963i | ||||
\(229\) | −0.214879 | −0.0141996 | −0.00709981 | − | 0.999975i | \(-0.502260\pi\) | ||||
−0.00709981 | + | 0.999975i | \(0.502260\pi\) | |||||||
\(230\) | 0.850045 | + | 0.354980i | 0.0560503 | + | 0.0234067i | ||||
\(231\) | −5.44809 | −0.358458 | ||||||||
\(232\) | −0.852278 | − | 0.250251i | −0.0559548 | − | 0.0164298i | ||||
\(233\) | −12.4825 | + | 14.4055i | −0.817753 | + | 0.943737i | −0.999213 | − | 0.0396611i | \(-0.987372\pi\) |
0.181460 | + | 0.983398i | \(0.441918\pi\) | |||||||
\(234\) | 0.0195232 | + | 0.0125468i | 0.00127627 | + | 0.000820208i | ||||
\(235\) | −1.42783 | + | 9.93076i | −0.0931412 | + | 0.647811i | ||||
\(236\) | −16.7485 | + | 10.7636i | −1.09024 | + | 0.700652i | ||||
\(237\) | −5.60240 | − | 12.2676i | −0.363915 | − | 0.796863i | ||||
\(238\) | 0.187793 | + | 0.216725i | 0.0121728 | + | 0.0140482i | ||||
\(239\) | 0.913523 | + | 6.35369i | 0.0590909 | + | 0.410986i | 0.997801 | + | 0.0662788i | \(0.0211127\pi\) |
−0.938710 | + | 0.344707i | \(0.887978\pi\) | |||||||
\(240\) | −4.92375 | + | 10.7815i | −0.317827 | + | 0.695943i | ||||
\(241\) | −22.8318 | + | 6.70402i | −1.47073 | + | 0.431844i | −0.916335 | − | 0.400413i | \(-0.868867\pi\) |
−0.554391 | + | 0.832257i | \(0.687049\pi\) | |||||||
\(242\) | −1.15473 | + | 0.339058i | −0.0742285 | + | 0.0217955i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 2.72892 | + | 18.9801i | 0.174701 | + | 1.21507i | ||||
\(245\) | −1.95260 | − | 2.25342i | −0.124747 | − | 0.143966i | ||||
\(246\) | 0.0695865 | + | 0.152373i | 0.00443667 | + | 0.00971496i | ||||
\(247\) | −1.00070 | + | 0.643113i | −0.0636733 | + | 0.0409203i | ||||
\(248\) | −0.266335 | + | 1.85240i | −0.0169123 | + | 0.117628i | ||||
\(249\) | 1.97255 | + | 1.26768i | 0.125005 | + | 0.0803359i | ||||
\(250\) | 0.139557 | − | 0.161058i | 0.00882638 | − | 0.0101862i | ||||
\(251\) | 10.6725 | + | 3.13372i | 0.673640 | + | 0.197799i | 0.600623 | − | 0.799532i | \(-0.294919\pi\) |
0.0730167 | + | 0.997331i | \(0.476737\pi\) | |||||||
\(252\) | −1.99585 | −0.125727 | ||||||||
\(253\) | −8.17962 | − | 24.8148i | −0.514248 | − | 1.56009i | ||||
\(254\) | −1.09535 | −0.0687283 | ||||||||
\(255\) | −12.7355 | − | 3.73947i | −0.797527 | − | 0.234175i | ||||
\(256\) | −10.2610 | + | 11.8419i | −0.641315 | + | 0.740117i | ||||
\(257\) | 13.9098 | + | 8.93930i | 0.867671 | + | 0.557618i | 0.897040 | − | 0.441950i | \(-0.145713\pi\) |
−0.0293684 | + | 0.999569i | \(0.509350\pi\) | |||||||
\(258\) | 0.0106834 | − | 0.0743047i | 0.000665119 | − | 0.00462601i | ||||
\(259\) | −0.642818 | + | 0.413114i | −0.0399427 | + | 0.0256696i | ||||
\(260\) | −0.890586 | − | 1.95011i | −0.0552318 | − | 0.120941i | ||||
\(261\) | 2.25974 | + | 2.60788i | 0.139874 | + | 0.161424i | ||||
\(262\) | 0.0716073 | + | 0.498040i | 0.00442391 | + | 0.0307690i | ||||
\(263\) | −1.83451 | + | 4.01701i | −0.113120 | + | 0.247699i | −0.957722 | − | 0.287697i | \(-0.907110\pi\) |
0.844601 | + | 0.535396i | \(0.179838\pi\) | |||||||
\(264\) | −1.34560 | + | 0.395104i | −0.0828160 | + | 0.0243170i | ||||
\(265\) | −32.1269 | + | 9.43331i | −1.97354 | + | 0.579484i | ||||
\(266\) | −0.0883648 | + | 0.193492i | −0.00541799 | + | 0.0118638i | ||||
\(267\) | 2.07292 | + | 14.4174i | 0.126860 | + | 0.882334i | ||||
\(268\) | 11.1283 | + | 12.8427i | 0.679768 | + | 0.784494i | ||||
\(269\) | −10.6509 | − | 23.3223i | −0.649398 | − | 1.42198i | −0.892080 | − | 0.451878i | \(-0.850754\pi\) |
0.242681 | − | 0.970106i | \(-0.421973\pi\) | |||||||
\(270\) | −0.161589 | + | 0.103847i | −0.00983398 | + | 0.00631991i | ||||
\(271\) | −2.50281 | + | 17.4074i | −0.152035 | + | 1.05742i | 0.760768 | + | 0.649023i | \(0.224822\pi\) |
−0.912803 | + | 0.408400i | \(0.866087\pi\) | |||||||
\(272\) | −14.8863 | − | 9.56685i | −0.902615 | − | 0.580075i | ||||
\(273\) | 0.235913 | − | 0.272258i | 0.0142781 | − | 0.0164778i | ||||
\(274\) | −0.276697 | − | 0.0812456i | −0.0167159 | − | 0.00490822i | ||||
\(275\) | 21.1959 | 1.27816 | ||||||||
\(276\) | −2.99652 | − | 9.09063i | −0.180369 | − | 0.547191i | ||||
\(277\) | 16.3136 | 0.980187 | 0.490093 | − | 0.871670i | \(-0.336963\pi\) | ||||
0.490093 | + | 0.871670i | \(0.336963\pi\) | |||||||
\(278\) | −0.827947 | − | 0.243107i | −0.0496569 | − | 0.0145806i | ||||
\(279\) | 4.76100 | − | 5.49448i | 0.285033 | − | 0.328946i | ||||
\(280\) | −0.645685 | − | 0.414956i | −0.0385870 | − | 0.0247984i | ||||
\(281\) | −3.07786 | + | 21.4070i | −0.183610 | + | 1.27704i | 0.664529 | + | 0.747262i | \(0.268632\pi\) |
−0.848139 | + | 0.529773i | \(0.822277\pi\) | |||||||
\(282\) | −0.182352 | + | 0.117190i | −0.0108589 | + | 0.00697858i | ||||
\(283\) | 2.98389 | + | 6.53381i | 0.177374 | + | 0.388395i | 0.977348 | − | 0.211640i | \(-0.0678805\pi\) |
−0.799974 | + | 0.600035i | \(0.795153\pi\) | |||||||
\(284\) | −3.74626 | − | 4.32341i | −0.222299 | − | 0.256547i | ||||
\(285\) | −1.40117 | − | 9.74534i | −0.0829980 | − | 0.577264i | ||||
\(286\) | 0.0525230 | − | 0.115009i | 0.00310575 | − | 0.00680064i | ||||
\(287\) | 2.49496 | − | 0.732587i | 0.147273 | − | 0.0432432i | ||||
\(288\) | −0.739675 | + | 0.217188i | −0.0435858 | + | 0.0127979i | ||||
\(289\) | 1.16988 | − | 2.56169i | 0.0688167 | − | 0.150688i | ||||
\(290\) | 0.0943287 | + | 0.656071i | 0.00553917 | + | 0.0385258i | ||||
\(291\) | 10.6653 | + | 12.3084i | 0.625211 | + | 0.721532i | ||||
\(292\) | 8.46536 | + | 18.5366i | 0.495398 | + | 1.08477i | ||||
\(293\) | 9.36372 | − | 6.01769i | 0.547034 | − | 0.351557i | −0.237750 | − | 0.971326i | \(-0.576410\pi\) |
0.784784 | + | 0.619769i | \(0.212774\pi\) | |||||||
\(294\) | 0.00916792 | − | 0.0637643i | 0.000534684 | − | 0.00371881i | ||||
\(295\) | 25.0214 | + | 16.0803i | 1.45680 | + | 0.936231i | ||||
\(296\) | −0.128807 | + | 0.148651i | −0.00748676 | + | 0.00864018i | ||||
\(297\) | 5.22740 | + | 1.53490i | 0.303325 | + | 0.0890642i | ||||
\(298\) | −1.48625 | −0.0860962 | ||||||||
\(299\) | 1.59426 | + | 0.665766i | 0.0921986 | + | 0.0385022i | ||||
\(300\) | 7.76489 | 0.448306 | ||||||||
\(301\) | −1.11810 | − | 0.328304i | −0.0644462 | − | 0.0189231i | ||||
\(302\) | 0.815302 | − | 0.940909i | 0.0469154 | − | 0.0541432i | ||||
\(303\) | −4.06585 | − | 2.61296i | −0.233577 | − | 0.150111i | ||||
\(304\) | 1.86800 | − | 12.9922i | 0.107137 | − | 0.745155i | ||||
\(305\) | 24.0992 | − | 15.4876i | 1.37992 | − | 0.886820i | ||||
\(306\) | −0.119128 | − | 0.260853i | −0.00681008 | − | 0.0149120i | ||||
\(307\) | −1.96517 | − | 2.26793i | −0.112158 | − | 0.129437i | 0.696894 | − | 0.717174i | \(-0.254565\pi\) |
−0.809052 | + | 0.587736i | \(0.800019\pi\) | |||||||
\(308\) | 1.54747 | + | 10.7629i | 0.0881753 | + | 0.613273i | ||||
\(309\) | 1.41438 | − | 3.09707i | 0.0804615 | − | 0.176186i | ||||
\(310\) | 1.33991 | − | 0.393432i | 0.0761017 | − | 0.0223455i | ||||
\(311\) | −17.2583 | + | 5.06750i | −0.978629 | + | 0.287351i | −0.731658 | − | 0.681672i | \(-0.761253\pi\) |
−0.246971 | + | 0.969023i | \(0.579435\pi\) | |||||||
\(312\) | 0.0385225 | − | 0.0843525i | 0.00218091 | − | 0.00477552i | ||||
\(313\) | −0.499688 | − | 3.47541i | −0.0282440 | − | 0.196442i | 0.970814 | − | 0.239833i | \(-0.0770928\pi\) |
−0.999058 | + | 0.0433917i | \(0.986184\pi\) | |||||||
\(314\) | −0.665589 | − | 0.768131i | −0.0375614 | − | 0.0433481i | ||||
\(315\) | 1.23864 | + | 2.71225i | 0.0697896 | + | 0.152818i | ||||
\(316\) | −22.6437 | + | 14.5522i | −1.27381 | + | 0.818626i | ||||
\(317\) | 1.60880 | − | 11.1894i | 0.0903590 | − | 0.628461i | −0.893440 | − | 0.449183i | \(-0.851715\pi\) |
0.983799 | − | 0.179277i | \(-0.0573759\pi\) | |||||||
\(318\) | −0.608571 | − | 0.391105i | −0.0341269 | − | 0.0219321i | ||||
\(319\) | 12.3113 | − | 14.2080i | 0.689298 | − | 0.795493i | ||||
\(320\) | 22.6029 | + | 6.63681i | 1.26354 | + | 0.371009i | ||||
\(321\) | −8.37496 | −0.467445 | ||||||||
\(322\) | 0.304196 | − | 0.0539764i | 0.0169522 | − | 0.00300798i | ||||
\(323\) | 14.6990 | 0.817872 | ||||||||
\(324\) | 1.91500 | + | 0.562296i | 0.106389 | + | 0.0312387i | ||||
\(325\) | −0.917823 | + | 1.05922i | −0.0509117 | + | 0.0587552i | ||||
\(326\) | −0.240564 | − | 0.154601i | −0.0133236 | − | 0.00856255i | ||||
\(327\) | −0.922422 | + | 6.41558i | −0.0510100 | + | 0.354783i | ||||
\(328\) | 0.563091 | − | 0.361877i | 0.0310915 | − | 0.0199813i | ||||
\(329\) | 1.39780 | + | 3.06075i | 0.0770630 | + | 0.168745i | ||||
\(330\) | 0.685295 | + | 0.790873i | 0.0377242 | + | 0.0435361i | ||||
\(331\) | −1.39987 | − | 9.73632i | −0.0769439 | − | 0.535157i | −0.991440 | − | 0.130562i | \(-0.958322\pi\) |
0.914496 | − | 0.404594i | \(-0.132587\pi\) | |||||||
\(332\) | 1.94407 | − | 4.25691i | 0.106694 | − | 0.233628i | ||||
\(333\) | 0.733167 | − | 0.215277i | 0.0401773 | − | 0.0117971i | ||||
\(334\) | 0.125845 | − | 0.0369515i | 0.00688595 | − | 0.00202190i | ||||
\(335\) | 10.5462 | − | 23.0930i | 0.576202 | − | 1.26171i | ||||
\(336\) | 0.565718 | + | 3.93466i | 0.0308625 | + | 0.214653i | ||||
\(337\) | −11.9966 | − | 13.8448i | −0.653495 | − | 0.754174i | 0.328205 | − | 0.944607i | \(-0.393556\pi\) |
−0.981700 | + | 0.190433i | \(0.939011\pi\) | |||||||
\(338\) | −0.344420 | − | 0.754176i | −0.0187340 | − | 0.0410217i | ||||
\(339\) | 8.69220 | − | 5.58614i | 0.472095 | − | 0.303397i | ||||
\(340\) | −3.77009 | + | 26.2215i | −0.204462 | + | 1.42206i | ||||
\(341\) | −33.3212 | − | 21.4142i | −1.80444 | − | 1.15964i | ||||
\(342\) | 0.139298 | − | 0.160759i | 0.00753240 | − | 0.00869285i | ||||
\(343\) | −0.959493 | − | 0.281733i | −0.0518078 | − | 0.0152121i | ||||
\(344\) | −0.299963 | −0.0161729 | ||||||||
\(345\) | −10.4940 | + | 9.71382i | −0.564977 | + | 0.522974i | ||||
\(346\) | 1.49349 | 0.0802905 | ||||||||
\(347\) | −11.5468 | − | 3.39046i | −0.619867 | − | 0.182009i | −0.0433037 | − | 0.999062i | \(-0.513788\pi\) |
−0.576563 | + | 0.817053i | \(0.695606\pi\) | |||||||
\(348\) | 4.51010 | − | 5.20493i | 0.241767 | − | 0.279014i | ||||
\(349\) | −13.3198 | − | 8.56014i | −0.712995 | − | 0.458214i | 0.133199 | − | 0.991089i | \(-0.457475\pi\) |
−0.846194 | + | 0.532875i | \(0.821111\pi\) | |||||||
\(350\) | −0.0356680 | + | 0.248076i | −0.00190653 | + | 0.0132602i | ||||
\(351\) | −0.303060 | + | 0.194765i | −0.0161762 | + | 0.0103958i | ||||
\(352\) | 1.74472 | + | 3.82041i | 0.0929939 | + | 0.203628i | ||||
\(353\) | −7.09162 | − | 8.18416i | −0.377449 | − | 0.435599i | 0.534961 | − | 0.844877i | \(-0.320326\pi\) |
−0.912410 | + | 0.409278i | \(0.865781\pi\) | |||||||
\(354\) | 0.0914518 | + | 0.636061i | 0.00486061 | + | 0.0338063i | ||||
\(355\) | −3.55031 | + | 7.77409i | −0.188431 | + | 0.412606i | ||||
\(356\) | 27.8934 | − | 8.19024i | 1.47835 | − | 0.434082i | ||||
\(357\) | −4.27122 | + | 1.25414i | −0.226057 | + | 0.0663763i | ||||
\(358\) | −0.297374 | + | 0.651158i | −0.0157167 | + | 0.0344148i | ||||
\(359\) | 3.66855 | + | 25.5153i | 0.193619 | + | 1.34665i | 0.822331 | + | 0.569010i | \(0.192673\pi\) |
−0.628712 | + | 0.777638i | \(0.716417\pi\) | |||||||
\(360\) | 0.502623 | + | 0.580058i | 0.0264906 | + | 0.0305717i | ||||
\(361\) | −3.36354 | − | 7.36513i | −0.177029 | − | 0.387638i | ||||
\(362\) | 1.18002 | − | 0.758353i | 0.0620205 | − | 0.0398581i | ||||
\(363\) | 2.65868 | − | 18.4915i | 0.139545 | − | 0.970554i | ||||
\(364\) | −0.604863 | − | 0.388722i | −0.0317034 | − | 0.0203746i | ||||
\(365\) | 19.9365 | − | 23.0079i | 1.04352 | − | 1.20429i | ||||
\(366\) | 0.593848 | + | 0.174370i | 0.0310409 | + | 0.00911444i | ||||
\(367\) | 12.2185 | 0.637799 | 0.318899 | − | 0.947789i | \(-0.396687\pi\) | ||||
0.318899 | + | 0.947789i | \(0.396687\pi\) | |||||||
\(368\) | −17.0721 | + | 8.48411i | −0.889944 | + | 0.442265i | ||||
\(369\) | −2.60029 | −0.135366 | ||||||||
\(370\) | 0.140827 | + | 0.0413506i | 0.00732126 | + | 0.00214972i | ||||
\(371\) | −7.35381 | + | 8.48675i | −0.381791 | + | 0.440610i | ||||
\(372\) | −12.2069 | − | 7.84487i | −0.632896 | − | 0.406737i | ||||
\(373\) | 2.14476 | − | 14.9171i | 0.111052 | − | 0.772380i | −0.855849 | − | 0.517226i | \(-0.826965\pi\) |
0.966900 | − | 0.255154i | \(-0.0821263\pi\) | |||||||
\(374\) | −1.31432 | + | 0.844664i | −0.0679620 | + | 0.0436765i | ||||
\(375\) | 1.37425 | + | 3.00919i | 0.0709659 | + | 0.155394i | ||||
\(376\) | 0.567206 | + | 0.654591i | 0.0292514 | + | 0.0337579i | ||||
\(377\) | 0.176914 | + | 1.23046i | 0.00911153 | + | 0.0633721i | ||||
\(378\) | −0.0267610 | + | 0.0585985i | −0.00137644 | + | 0.00301398i | ||||
\(379\) | 21.2018 | − | 6.22542i | 1.08906 | − | 0.319778i | 0.312565 | − | 0.949896i | \(-0.398812\pi\) |
0.776499 | + | 0.630118i | \(0.216994\pi\) | |||||||
\(380\) | −18.8543 | + | 5.53611i | −0.967204 | + | 0.283997i | ||||
\(381\) | 7.06340 | − | 15.4667i | 0.361869 | − | 0.792382i | ||||
\(382\) | −0.0931346 | − | 0.647765i | −0.00476518 | − | 0.0331425i | ||||
\(383\) | −16.1204 | − | 18.6039i | −0.823713 | − | 0.950615i | 0.175715 | − | 0.984441i | \(-0.443776\pi\) |
−0.999428 | + | 0.0338258i | \(0.989231\pi\) | |||||||
\(384\) | 0.851916 | + | 1.86544i | 0.0434742 | + | 0.0951952i | ||||
\(385\) | 13.6658 | − | 8.78247i | 0.696473 | − | 0.447596i | ||||
\(386\) | −0.00616924 | + | 0.0429080i | −0.000314006 | + | 0.00218396i | ||||
\(387\) | 0.980314 | + | 0.630010i | 0.0498322 | + | 0.0320252i | ||||
\(388\) | 21.2863 | − | 24.5657i | 1.08065 | − | 1.24714i | ||||
\(389\) | −32.3229 | − | 9.49087i | −1.63884 | − | 0.481206i | −0.672847 | − | 0.739782i | \(-0.734929\pi\) |
−0.965991 | + | 0.258576i | \(0.916747\pi\) | |||||||
\(390\) | −0.0691969 | −0.00350392 | ||||||||
\(391\) | −12.1250 | − | 17.5715i | −0.613189 | − | 0.888627i | ||||
\(392\) | −0.257413 | −0.0130013 | ||||||||
\(393\) | −7.49425 | − | 2.20051i | −0.378035 | − | 0.111001i | ||||
\(394\) | 0.706481 | − | 0.815323i | 0.0355920 | − | 0.0410754i | ||||
\(395\) | 33.8285 | + | 21.7403i | 1.70210 | + | 1.09387i | ||||
\(396\) | 1.54747 | − | 10.7629i | 0.0777633 | − | 0.540856i | ||||
\(397\) | −20.4585 | + | 13.1479i | −1.02678 | + | 0.659872i | −0.941683 | − | 0.336501i | \(-0.890756\pi\) |
−0.0850973 | + | 0.996373i | \(0.527120\pi\) | |||||||
\(398\) | 0.454107 | + | 0.994356i | 0.0227623 | + | 0.0498426i | ||||
\(399\) | −2.16235 | − | 2.49548i | −0.108253 | − | 0.124930i | ||||
\(400\) | −2.20094 | − | 15.3079i | −0.110047 | − | 0.765393i | ||||
\(401\) | −7.17114 | + | 15.7026i | −0.358110 | + | 0.784151i | 0.641742 | + | 0.766921i | \(0.278212\pi\) |
−0.999852 | + | 0.0172301i | \(0.994515\pi\) | |||||||
\(402\) | 0.526276 | − | 0.154529i | 0.0262483 | − | 0.00770719i | ||||
\(403\) | 2.51300 | − | 0.737884i | 0.125182 | − | 0.0367566i | ||||
\(404\) | −4.00714 | + | 8.77441i | −0.199363 | + | 0.436543i | ||||
\(405\) | −0.424340 | − | 2.95135i | −0.0210856 | − | 0.146654i | ||||
\(406\) | 0.145572 | + | 0.168000i | 0.00722464 | + | 0.00833768i | ||||
\(407\) | −1.72937 | − | 3.78679i | −0.0857216 | − | 0.187704i | ||||
\(408\) | −0.963977 | + | 0.619511i | −0.0477240 | + | 0.0306703i | ||||
\(409\) | −2.28459 | + | 15.8896i | −0.112966 | + | 0.785693i | 0.852043 | + | 0.523472i | \(0.175364\pi\) |
−0.965008 | + | 0.262220i | \(0.915545\pi\) | |||||||
\(410\) | −0.420178 | − | 0.270032i | −0.0207511 | − | 0.0133359i | ||||
\(411\) | 2.93151 | − | 3.38314i | 0.144601 | − | 0.166878i | ||||
\(412\) | −6.52011 | − | 1.91448i | −0.321223 | − | 0.0943195i | ||||
\(413\) | 9.97520 | 0.490847 | ||||||||
\(414\) | −0.307081 | − | 0.0339119i | −0.0150922 | − | 0.00166668i | ||||
\(415\) | −6.99140 | −0.343194 | ||||||||
\(416\) | −0.266467 | − | 0.0782418i | −0.0130646 | − | 0.00383612i | ||||
\(417\) | 8.77180 | − | 10.1232i | 0.429557 | − | 0.495735i | ||||
\(418\) | −0.974919 | − | 0.626542i | −0.0476848 | − | 0.0306452i | ||||
\(419\) | −0.251883 | + | 1.75189i | −0.0123053 | + | 0.0855852i | −0.995049 | − | 0.0993892i | \(-0.968311\pi\) |
0.982743 | + | 0.184974i | \(0.0592202\pi\) | |||||||
\(420\) | 5.00632 | − | 3.21736i | 0.244283 | − | 0.156991i | ||||
\(421\) | 10.1002 | + | 22.1164i | 0.492256 | + | 1.07789i | 0.978909 | + | 0.204295i | \(0.0654900\pi\) |
−0.486654 | + | 0.873595i | \(0.661783\pi\) | |||||||
\(422\) | −0.895129 | − | 1.03303i | −0.0435742 | − | 0.0502873i | ||||
\(423\) | −0.478864 | − | 3.33057i | −0.0232832 | − | 0.161938i | ||||
\(424\) | −1.20081 | + | 2.62941i | −0.0583167 | + | 0.127696i | ||||
\(425\) | 16.6173 | − | 4.87927i | 0.806055 | − | 0.236679i | ||||
\(426\) | −0.177167 | + | 0.0520209i | −0.00858377 | + | 0.00252042i | ||||
\(427\) | 3.99112 | − | 8.73934i | 0.193144 | − | 0.422926i | ||||
\(428\) | 2.37882 | + | 16.5450i | 0.114984 | + | 0.799734i | ||||
\(429\) | 1.28527 | + | 1.48328i | 0.0620536 | + | 0.0716137i | ||||
\(430\) | 0.0929833 | + | 0.203605i | 0.00448405 | + | 0.00981871i | ||||
\(431\) | −18.8750 | + | 12.1302i | −0.909178 | + | 0.584293i | −0.909499 | − | 0.415707i | \(-0.863534\pi\) |
0.000320625 | 1.00000i | \(0.499898\pi\) | ||||||||
\(432\) | 0.565718 | − | 3.93466i | 0.0272181 | − | 0.189306i | ||||
\(433\) | 10.3996 | + | 6.68340i | 0.499772 | + | 0.321184i | 0.766125 | − | 0.642692i | \(-0.222182\pi\) |
−0.266353 | + | 0.963876i | \(0.585819\pi\) | |||||||
\(434\) | 0.306703 | − | 0.353955i | 0.0147222 | − | 0.0169904i | ||||
\(435\) | −9.87222 | − | 2.89874i | −0.473337 | − | 0.138984i | ||||
\(436\) | 12.9362 | 0.619532 | ||||||||
\(437\) | 8.11984 | − | 13.5956i | 0.388425 | − | 0.650367i | ||||
\(438\) | 0.657743 | 0.0314282 | ||||||||
\(439\) | 14.0853 | + | 4.13581i | 0.672254 | + | 0.197391i | 0.600006 | − | 0.799995i | \(-0.295165\pi\) |
0.0722473 | + | 0.997387i | \(0.476983\pi\) | |||||||
\(440\) | 2.73834 | − | 3.16021i | 0.130545 | − | 0.150657i | ||||
\(441\) | 0.841254 | + | 0.540641i | 0.0400597 | + | 0.0257448i | ||||
\(442\) | 0.0147022 | − | 0.102256i | 0.000699314 | − | 0.00486383i | ||||
\(443\) | −14.0612 | + | 9.03661i | −0.668069 | + | 0.429342i | −0.830229 | − | 0.557422i | \(-0.811790\pi\) |
0.162160 | + | 0.986765i | \(0.448154\pi\) | |||||||
\(444\) | −0.633536 | − | 1.38725i | −0.0300663 | − | 0.0658359i | ||||
\(445\) | −28.4410 | − | 32.8226i | −1.34823 | − | 1.55594i | ||||
\(446\) | −0.0938861 | − | 0.652992i | −0.00444564 | − | 0.0309201i | ||||
\(447\) | 9.58415 | − | 20.9864i | 0.453315 | − | 0.992621i | ||||
\(448\) | 7.58054 | − | 2.22585i | 0.358147 | − | 0.105161i | ||||
\(449\) | 3.28670 | − | 0.965061i | 0.155109 | − | 0.0455440i | −0.203256 | − | 0.979126i | \(-0.565152\pi\) |
0.358365 | + | 0.933582i | \(0.383334\pi\) | |||||||
\(450\) | 0.104114 | − | 0.227979i | 0.00490800 | − | 0.0107470i | ||||
\(451\) | 2.01612 | + | 14.0224i | 0.0949354 | + | 0.660290i | ||||
\(452\) | −13.5045 | − | 15.5851i | −0.635200 | − | 0.733060i | ||||
\(453\) | 8.02844 | + | 17.5798i | 0.377209 | + | 0.825972i | ||||
\(454\) | −0.468593 | + | 0.301147i | −0.0219922 | + | 0.0141335i | ||||
\(455\) | −0.152868 | + | 1.06322i | −0.00716655 | + | 0.0498445i | ||||
\(456\) | −0.715045 | − | 0.459531i | −0.0334850 | − | 0.0215195i | ||||
\(457\) | 17.6706 | − | 20.3930i | 0.826598 | − | 0.953945i | −0.172922 | − | 0.984936i | \(-0.555321\pi\) |
0.999520 | + | 0.0309905i | \(0.00986617\pi\) | |||||||
\(458\) | 0.0132818 | + | 0.00389989i | 0.000620618 | + | 0.000182230i | ||||
\(459\) | 4.45154 | 0.207780 | ||||||||
\(460\) | 22.1707 | + | 17.9721i | 1.03371 | + | 0.837955i | ||||
\(461\) | 5.22753 | 0.243471 | 0.121735 | − | 0.992563i | \(-0.461154\pi\) | ||||
0.121735 | + | 0.992563i | \(0.461154\pi\) | |||||||
\(462\) | 0.336749 | + | 0.0988785i | 0.0156670 | + | 0.00460025i | ||||
\(463\) | 13.6390 | − | 15.7403i | 0.633859 | − | 0.731512i | −0.344418 | − | 0.938817i | \(-0.611924\pi\) |
0.978276 | + | 0.207304i | \(0.0664690\pi\) | |||||||
\(464\) | −11.5395 | − | 7.41597i | −0.535707 | − | 0.344278i | ||||
\(465\) | −3.08505 | + | 21.4570i | −0.143066 | + | 0.995045i | ||||
\(466\) | 1.03300 | − | 0.663866i | 0.0478526 | − | 0.0307530i | ||||
\(467\) | −3.24027 | − | 7.09520i | −0.149942 | − | 0.328327i | 0.819725 | − | 0.572757i | \(-0.194126\pi\) |
−0.969667 | + | 0.244431i | \(0.921399\pi\) | |||||||
\(468\) | 0.470846 | + | 0.543386i | 0.0217649 | + | 0.0251180i | ||||
\(469\) | −1.21172 | − | 8.42768i | −0.0559519 | − | 0.389154i | ||||
\(470\) | 0.268490 | − | 0.587911i | 0.0123845 | − | 0.0271183i | ||||
\(471\) | 15.1383 | − | 4.44502i | 0.697538 | − | 0.204816i | ||||
\(472\) | 2.46373 | − | 0.723416i | 0.113402 | − | 0.0332979i | ||||
\(473\) | 2.63733 | − | 5.77495i | 0.121265 | − | 0.265533i | ||||
\(474\) | 0.123641 | + | 0.859943i | 0.00567903 | + | 0.0394985i | ||||
\(475\) | 8.41265 | + | 9.70872i | 0.385999 | + | 0.445467i | ||||
\(476\) | 3.69080 | + | 8.08172i | 0.169167 | + | 0.370425i | ||||
\(477\) | 9.44692 | − | 6.07117i | 0.432545 | − | 0.277980i | ||||
\(478\) | 0.0588491 | − | 0.409305i | 0.00269170 | − | 0.0187212i | ||||
\(479\) | 29.1279 | + | 18.7194i | 1.33089 | + | 0.855310i | 0.996206 | − | 0.0870218i | \(-0.0277350\pi\) |
0.334681 | + | 0.942331i | \(0.391371\pi\) | |||||||
\(480\) | 1.50526 | − | 1.73716i | 0.0687055 | − | 0.0792903i | ||||
\(481\) | 0.264122 | + | 0.0775533i | 0.0120429 | + | 0.00353613i | ||||
\(482\) | 1.53292 | 0.0698225 | ||||||||
\(483\) | −1.19945 | + | 4.64342i | −0.0545771 | + | 0.211283i | ||||
\(484\) | −37.2858 | −1.69481 | ||||||||
\(485\) | −46.5939 | − | 13.6812i | −2.11572 | − | 0.621232i | ||||
\(486\) | 0.0421861 | − | 0.0486854i | 0.00191360 | − | 0.00220841i | ||||
\(487\) | 34.0730 | + | 21.8974i | 1.54399 | + | 0.992265i | 0.986811 | + | 0.161875i | \(0.0517542\pi\) |
0.557183 | + | 0.830390i | \(0.311882\pi\) | |||||||
\(488\) | 0.351960 | − | 2.44793i | 0.0159325 | − | 0.110813i | ||||
\(489\) | 3.73430 | − | 2.39989i | 0.168871 | − | 0.108527i | ||||
\(490\) | 0.0797933 | + | 0.174723i | 0.00360469 | + | 0.00789318i | ||||
\(491\) | 9.74168 | + | 11.2425i | 0.439636 | + | 0.507367i | 0.931718 | − | 0.363182i | \(-0.118310\pi\) |
−0.492082 | + | 0.870549i | \(0.663764\pi\) | |||||||
\(492\) | 0.738585 | + | 5.13697i | 0.0332980 | + | 0.231592i | ||||
\(493\) | 6.38119 | − | 13.9729i | 0.287394 | − | 0.629306i | ||||
\(494\) | 0.0735261 | − | 0.0215892i | 0.00330809 | − | 0.000971344i | ||||
\(495\) | −15.5865 | + | 4.57662i | −0.700563 | + | 0.205704i | ||||
\(496\) | −12.0055 | + | 26.2884i | −0.539064 | + | 1.18039i | ||||
\(497\) | 0.407916 | + | 2.83712i | 0.0182975 | + | 0.127262i | ||||
\(498\) | −0.0989169 | − | 0.114156i | −0.00443257 | − | 0.00511546i | ||||
\(499\) | 13.2446 | + | 29.0016i | 0.592909 | + | 1.29829i | 0.933668 | + | 0.358138i | \(0.116588\pi\) |
−0.340760 | + | 0.940150i | \(0.610684\pi\) | |||||||
\(500\) | 5.55441 | − | 3.56960i | 0.248401 | − | 0.159637i | ||||
\(501\) | −0.289751 | + | 2.01526i | −0.0129451 | + | 0.0900352i | ||||
\(502\) | −0.602796 | − | 0.387394i | −0.0269041 | − | 0.0172902i | ||||
\(503\) | 14.4861 | − | 16.7178i | 0.645903 | − | 0.745412i | −0.334504 | − | 0.942394i | \(-0.608569\pi\) |
0.980407 | + | 0.196983i | \(0.0631142\pi\) | |||||||
\(504\) | 0.246986 | + | 0.0725215i | 0.0110016 | + | 0.00323037i | ||||
\(505\) | 14.4108 | 0.641272 | ||||||||
\(506\) | 0.0552184 | + | 1.68227i | 0.00245476 | + | 0.0747859i | ||||
\(507\) | 12.8702 | 0.571587 | ||||||||
\(508\) | −32.5613 | − | 9.56085i | −1.44467 | − | 0.424194i | ||||
\(509\) | 21.4288 | − | 24.7302i | 0.949817 | − | 1.09615i | −0.0454500 | − | 0.998967i | \(-0.514472\pi\) |
0.995267 | − | 0.0971804i | \(-0.0309824\pi\) | |||||||
\(510\) | 0.719318 | + | 0.462278i | 0.0318520 | + | 0.0204700i | ||||
\(511\) | 1.45307 | − | 10.1063i | 0.0642799 | − | 0.447076i | ||||
\(512\) | 4.29958 | − | 2.76317i | 0.190016 | − | 0.122116i | ||||
\(513\) | 1.37170 | + | 3.00360i | 0.0605620 | + | 0.132612i | ||||
\(514\) | −0.697533 | − | 0.804995i | −0.0307668 | − | 0.0355068i | ||||
\(515\) | 1.44477 | + | 10.0486i | 0.0636642 | + | 0.442794i | ||||
\(516\) | 0.966159 | − | 2.11559i | 0.0425328 | − | 0.0931338i | ||||
\(517\) | −17.5893 | + | 5.16468i | −0.773576 | + | 0.227142i | ||||
\(518\) | 0.0472306 | − | 0.0138682i | 0.00207519 | − | 0.000609332i | ||||
\(519\) | −9.63083 | + | 21.0886i | −0.422747 | + | 0.925686i | ||||
\(520\) | 0.0393501 | + | 0.273686i | 0.00172562 | + | 0.0120019i | ||||
\(521\) | −0.372589 | − | 0.429990i | −0.0163234 | − | 0.0188382i | 0.747529 | − | 0.664229i | \(-0.231240\pi\) |
−0.763853 | + | 0.645391i | \(0.776695\pi\) | |||||||
\(522\) | −0.0923448 | − | 0.202207i | −0.00404182 | − | 0.00885035i | ||||
\(523\) | 24.4812 | − | 15.7331i | 1.07049 | − | 0.687962i | 0.118148 | − | 0.992996i | \(-0.462304\pi\) |
0.952341 | + | 0.305034i | \(0.0986680\pi\) | |||||||
\(524\) | −2.21853 | + | 15.4302i | −0.0969168 | + | 0.674071i | ||||
\(525\) | −3.27291 | − | 2.10337i | −0.142842 | − | 0.0917988i | ||||
\(526\) | 0.186297 | − | 0.214999i | 0.00812295 | − | 0.00937438i | ||||
\(527\) | −31.0528 | − | 9.11792i | −1.35268 | − | 0.397183i | ||||
\(528\) | −21.6568 | −0.942491 | ||||||||
\(529\) | −22.9505 | + | 1.50827i | −0.997848 | + | 0.0655770i | ||||
\(530\) | 2.15699 | 0.0936936 | ||||||||
\(531\) | −9.57113 | − | 2.81034i | −0.415352 | − | 0.121958i | ||||
\(532\) | −4.31572 | + | 4.98061i | −0.187110 | + | 0.215937i | ||||
\(533\) | −0.788046 | − | 0.506446i | −0.0341340 | − | 0.0219366i | ||||
\(534\) | 0.133537 | − | 0.928772i | 0.00577872 | − | 0.0401919i | ||||
\(535\) | 21.0074 | − | 13.5007i | 0.908231 | − | 0.583685i | ||||
\(536\) | −0.910466 | − | 1.99364i | −0.0393261 | − | 0.0861122i | ||||
\(537\) | −7.27695 | − | 8.39804i | −0.314023 | − | 0.362402i | ||||
\(538\) | 0.235059 | + | 1.63487i | 0.0101341 | + | 0.0704842i | ||||
\(539\) | 2.26322 | − | 4.95576i | 0.0974837 | − | 0.213460i | ||||
\(540\) | −5.70996 | + | 1.67660i | −0.245718 | + | 0.0721492i | ||||
\(541\) | −4.64711 | + | 1.36452i | −0.199795 | + | 0.0586651i | −0.380099 | − | 0.924946i | \(-0.624110\pi\) |
0.180304 | + | 0.983611i | \(0.442292\pi\) | |||||||
\(542\) | 0.470630 | − | 1.03054i | 0.0202153 | − | 0.0442653i | ||||
\(543\) | 3.09879 | + | 21.5526i | 0.132982 | + | 0.924909i | ||||
\(544\) | 2.24729 | + | 2.59351i | 0.0963516 | + | 0.111196i | ||||
\(545\) | −8.02833 | − | 17.5796i | −0.343896 | − | 0.753027i | ||||
\(546\) | −0.0195232 | + | 0.0125468i | −0.000835514 | + | 0.000536952i | ||||
\(547\) | −1.79517 | + | 12.4857i | −0.0767559 | + | 0.533849i | 0.914774 | + | 0.403967i | \(0.132369\pi\) |
−0.991529 | + | 0.129882i | \(0.958540\pi\) | |||||||
\(548\) | −7.51617 | − | 4.83035i | −0.321075 | − | 0.206342i | ||||
\(549\) | −6.29161 | + | 7.26091i | −0.268519 | + | 0.309888i | ||||
\(550\) | −1.31013 | − | 0.384689i | −0.0558641 | − | 0.0164032i | ||||
\(551\) | 11.3943 | 0.485412 | ||||||||
\(552\) | 0.0404994 | + | 1.23384i | 0.00172377 | + | 0.0525159i | ||||
\(553\) | 13.4863 | 0.573495 | ||||||||
\(554\) | −1.00835 | − | 0.296078i | −0.0428407 | − | 0.0125792i | ||||
\(555\) | −1.49202 | + | 1.72188i | −0.0633325 | + | 0.0730897i | ||||
\(556\) | −22.4903 | − | 14.4536i | −0.953800 | − | 0.612970i | ||||
\(557\) | 1.98806 | − | 13.8272i | 0.0842366 | − | 0.585879i | −0.903362 | − | 0.428879i | \(-0.858909\pi\) |
0.987599 | − | 0.157000i | \(-0.0501822\pi\) | |||||||
\(558\) | −0.394000 | + | 0.253209i | −0.0166794 | + | 0.0107192i | ||||
\(559\) | 0.174391 | + | 0.381862i | 0.00737593 | + | 0.0161510i | ||||
\(560\) | −7.76180 | − | 8.95760i | −0.327996 | − | 0.378528i | ||||
\(561\) | −3.45147 | − | 24.0055i | −0.145721 | − | 1.01351i | ||||
\(562\) | 0.578765 | − | 1.26732i | 0.0244137 | − | 0.0534586i | ||||
\(563\) | 30.5616 | − | 8.97368i | 1.28802 | − | 0.378196i | 0.435166 | − | 0.900350i | \(-0.356690\pi\) |
0.852851 | + | 0.522155i | \(0.174872\pi\) | |||||||
\(564\) | −6.44365 | + | 1.89202i | −0.271326 | + | 0.0796686i | ||||
\(565\) | −12.7982 | + | 28.0241i | −0.538424 | + | 1.17898i | ||||
\(566\) | −0.0658524 | − | 0.458014i | −0.00276798 | − | 0.0192518i | ||||
\(567\) | −0.654861 | − | 0.755750i | −0.0275016 | − | 0.0317385i | ||||
\(568\) | 0.306501 | + | 0.671145i | 0.0128605 | + | 0.0281606i | ||||
\(569\) | 3.34587 | − | 2.15026i | 0.140266 | − | 0.0901436i | −0.468626 | − | 0.883397i | \(-0.655251\pi\) |
0.608892 | + | 0.793253i | \(0.291614\pi\) | |||||||
\(570\) | −0.0902632 | + | 0.627795i | −0.00378071 | + | 0.0262954i | ||||
\(571\) | 34.4213 | + | 22.1213i | 1.44049 | + | 0.925746i | 0.999603 | + | 0.0281823i | \(0.00897189\pi\) |
0.440886 | + | 0.897563i | \(0.354664\pi\) | |||||||
\(572\) | 2.56521 | − | 2.96041i | 0.107257 | − | 0.123781i | ||||
\(573\) | 9.74724 | + | 2.86205i | 0.407197 | + | 0.119564i | ||||
\(574\) | −0.167511 | −0.00699177 | ||||||||
\(575\) | 4.66650 | − | 18.0653i | 0.194607 | − | 0.753375i | ||||
\(576\) | −7.90057 | −0.329191 | ||||||||
\(577\) | 31.3165 | + | 9.19535i | 1.30372 | + | 0.382808i | 0.858593 | − | 0.512658i | \(-0.171339\pi\) |
0.445130 | + | 0.895466i | \(0.353157\pi\) | |||||||
\(578\) | −0.118804 | + | 0.137107i | −0.00494159 | + | 0.00570289i | ||||
\(579\) | −0.566093 | − | 0.363806i | −0.0235260 | − | 0.0151193i | ||||
\(580\) | −2.92248 | + | 20.3263i | −0.121349 | + | 0.844003i | ||||
\(581\) | −1.97255 | + | 1.26768i | −0.0818351 | + | 0.0525922i | ||||
\(582\) | −0.435840 | − | 0.954356i | −0.0180661 | − | 0.0395593i | ||||
\(583\) | −40.0642 | − | 46.2366i | −1.65929 | − | 1.91492i | ||||
\(584\) | −0.374038 | − | 2.60149i | −0.0154778 | − | 0.107650i | ||||
\(585\) | 0.446219 | − | 0.977083i | 0.0184489 | − | 0.0403974i | ||||
\(586\) | −0.687993 | + | 0.202013i | −0.0284207 | + | 0.00834508i | ||||
\(587\) | −35.1516 | + | 10.3215i | −1.45086 | + | 0.426012i | −0.909827 | − | 0.414987i | \(-0.863786\pi\) |
−0.541036 | + | 0.840999i | \(0.681968\pi\) | |||||||
\(588\) | 0.829106 | − | 1.81549i | 0.0341918 | − | 0.0748695i | ||||
\(589\) | −3.41645 | − | 23.7620i | −0.140773 | − | 0.979094i | ||||
\(590\) | −1.25474 | − | 1.44805i | −0.0516569 | − | 0.0596153i | ||||
\(591\) | 6.95686 | + | 15.2334i | 0.286167 | + | 0.626618i | ||||
\(592\) | −2.55528 | + | 1.64218i | −0.105021 | + | 0.0674930i | ||||
\(593\) | 4.23419 | − | 29.4494i | 0.173877 | − | 1.20934i | −0.696719 | − | 0.717344i | \(-0.745357\pi\) |
0.870596 | − | 0.491998i | \(-0.163733\pi\) | |||||||
\(594\) | −0.295251 | − | 0.189747i | −0.0121143 | − | 0.00778539i | ||||
\(595\) | 8.69206 | − | 10.0312i | 0.356340 | − | 0.411238i | ||||
\(596\) | −44.1816 | − | 12.9729i | −1.80975 | − | 0.531390i | ||||
\(597\) | −16.9690 | −0.694494 | ||||||||
\(598\) | −0.0864591 | − | 0.0700860i | −0.00353558 | − | 0.00286603i | ||||
\(599\) | −1.57495 | −0.0643507 | −0.0321753 | − | 0.999482i | \(-0.510243\pi\) | ||||
−0.0321753 | + | 0.999482i | \(0.510243\pi\) | |||||||
\(600\) | −0.960902 | − | 0.282146i | −0.0392287 | − | 0.0115186i | ||||
\(601\) | −7.37489 | + | 8.51107i | −0.300828 | + | 0.347174i | −0.885958 | − | 0.463766i | \(-0.846498\pi\) |
0.585130 | + | 0.810939i | \(0.301043\pi\) | |||||||
\(602\) | 0.0631519 | + | 0.0405852i | 0.00257388 | + | 0.00165413i | ||||
\(603\) | −1.21172 | + | 8.42768i | −0.0493450 | + | 0.343202i | ||||
\(604\) | 32.4492 | − | 20.8538i | 1.32034 | − | 0.848530i | ||||
\(605\) | 23.1399 | + | 50.6694i | 0.940772 | + | 2.06000i | ||||
\(606\) | 0.203889 | + | 0.235300i | 0.00828242 | + | 0.00955843i | ||||
\(607\) | −5.51745 | − | 38.3747i | −0.223946 | − | 1.55758i | −0.722901 | − | 0.690952i | \(-0.757192\pi\) |
0.498954 | − | 0.866628i | \(-0.333718\pi\) | |||||||
\(608\) | −1.05745 | + | 2.31548i | −0.0428851 | + | 0.0939052i | ||||
\(609\) | −3.31094 | + | 0.972179i | −0.134166 | + | 0.0393947i | ||||
\(610\) | −1.77068 | + | 0.519917i | −0.0716926 | + | 0.0210508i | ||||
\(611\) | 0.503554 | − | 1.10263i | 0.0203716 | − | 0.0446076i | ||||
\(612\) | −1.26441 | − | 8.79417i | −0.0511108 | − | 0.355483i | ||||
\(613\) | 27.9250 | + | 32.2272i | 1.12788 | + | 1.30164i | 0.948113 | + | 0.317935i | \(0.102989\pi\) |
0.179768 | + | 0.983709i | \(0.442465\pi\) | |||||||
\(614\) | 0.0803071 | + | 0.175848i | 0.00324093 | + | 0.00709664i | ||||
\(615\) | 6.52248 | − | 4.19174i | 0.263012 | − | 0.169027i | ||||
\(616\) | 0.199583 | − | 1.38813i | 0.00804144 | − | 0.0559295i | ||||
\(617\) | 30.0158 | + | 19.2900i | 1.20839 | + | 0.776585i | 0.980388 | − | 0.197076i | \(-0.0631445\pi\) |
0.228002 | + | 0.973661i | \(0.426781\pi\) | |||||||
\(618\) | −0.143633 | + | 0.165762i | −0.00577778 | + | 0.00666791i | ||||
\(619\) | −47.2693 | − | 13.8795i | −1.89991 | − | 0.557865i | −0.989578 | − | 0.143995i | \(-0.954005\pi\) |
−0.910336 | − | 0.413870i | \(-0.864177\pi\) | |||||||
\(620\) | 43.2654 | 1.73758 | ||||||||
\(621\) | 2.45907 | − | 4.11740i | 0.0986791 | − | 0.165226i | ||||
\(622\) | 1.15872 | 0.0464603 | ||||||||
\(623\) | −13.9757 | − | 4.10363i | −0.559924 | − | 0.164409i | ||||
\(624\) | 0.937781 | − | 1.08226i | 0.0375413 | − | 0.0433249i | ||||
\(625\) | −24.6626 | − | 15.8497i | −0.986503 | − | 0.633987i | ||||
\(626\) | −0.0321899 | + | 0.223886i | −0.00128657 | + | 0.00894827i | ||||
\(627\) | 15.1338 | − | 9.72590i | 0.604385 | − | 0.388415i | ||||
\(628\) | −13.0812 | − | 28.6438i | −0.521996 | − | 1.14301i | ||||
\(629\) | −2.22751 | − | 2.57068i | −0.0888167 | − | 0.102500i | ||||
\(630\) | −0.0273360 | − | 0.190126i | −0.00108909 | − | 0.00757479i | ||||
\(631\) | 18.8986 | − | 41.3821i | 0.752340 | − | 1.64739i | −0.00977495 | − | 0.999952i | \(-0.503112\pi\) |
0.762115 | − | 0.647442i | \(-0.224161\pi\) | |||||||
\(632\) | 3.33092 | − | 0.978046i | 0.132497 | − | 0.0389046i | ||||
\(633\) | 20.3591 | − | 5.97796i | 0.809201 | − | 0.237603i | ||||
\(634\) | −0.302520 | + | 0.662426i | −0.0120146 | + | 0.0263083i | ||||
\(635\) | 7.21515 | + | 50.1825i | 0.286324 | + | 1.99143i | ||||
\(636\) | −14.6771 | − | 16.9383i | −0.581985 | − | 0.671646i | ||||
\(637\) | 0.149653 | + | 0.327694i | 0.00592945 | + | 0.0129837i | ||||
\(638\) | −1.01883 | + | 0.654762i | −0.0403358 | + | 0.0259223i | ||||
\(639\) | 0.407916 | − | 2.83712i | 0.0161369 | − | 0.112235i | ||||
\(640\) | −5.14405 | − | 3.30588i | −0.203336 | − | 0.130676i | ||||
\(641\) | 4.07236 | − | 4.69976i | 0.160849 | − | 0.185629i | −0.669604 | − | 0.742718i | \(-0.733536\pi\) |
0.830453 | + | 0.557089i | \(0.188082\pi\) | |||||||
\(642\) | 0.517661 | + | 0.151999i | 0.0204304 | + | 0.00599892i | ||||
\(643\) | −41.2627 | −1.62724 | −0.813622 | − | 0.581394i | \(-0.802507\pi\) | ||||
−0.813622 | + | 0.581394i | \(0.802507\pi\) | |||||||
\(644\) | 9.51392 | + | 1.05065i | 0.374901 | + | 0.0414016i | ||||
\(645\) | −3.47458 | −0.136811 | ||||||||
\(646\) | −0.908550 | − | 0.266774i | −0.0357464 | − | 0.0104961i | ||||
\(647\) | −27.3811 | + | 31.5995i | −1.07646 | + | 1.24231i | −0.107736 | + | 0.994180i | \(0.534360\pi\) |
−0.968728 | + | 0.248126i | \(0.920185\pi\) | |||||||
\(648\) | −0.216549 | − | 0.139168i | −0.00850686 | − | 0.00546703i | ||||
\(649\) | −7.73421 | + | 53.7926i | −0.303594 | + | 2.11154i | ||||
\(650\) | 0.0759552 | − | 0.0488134i | 0.00297921 | − | 0.00191462i | ||||
\(651\) | 3.02017 | + | 6.61325i | 0.118370 | + | 0.259194i | ||||
\(652\) | −5.80175 | − | 6.69558i | −0.227214 | − | 0.262219i | ||||
\(653\) | 2.70489 | + | 18.8129i | 0.105850 | + | 0.736206i | 0.971754 | + | 0.235995i | \(0.0758350\pi\) |
−0.865904 | + | 0.500211i | \(0.833256\pi\) | |||||||
\(654\) | 0.173453 | − | 0.379809i | 0.00678256 | − | 0.0148517i | ||||
\(655\) | 22.3456 | − | 6.56126i | 0.873115 | − | 0.256370i | ||||
\(656\) | 9.91777 | − | 2.91212i | 0.387224 | − | 0.113699i | ||||
\(657\) | −4.24148 | + | 9.28755i | −0.165476 | + | 0.362342i | ||||
\(658\) | −0.0308484 | − | 0.214555i | −0.00120260 | − | 0.00836424i | ||||
\(659\) | −21.3519 | − | 24.6414i | −0.831751 | − | 0.959892i | 0.167913 | − | 0.985802i | \(-0.446297\pi\) |
−0.999664 | + | 0.0259099i | \(0.991752\pi\) | |||||||
\(660\) | 13.4685 | + | 29.4918i | 0.524259 | + | 1.14797i | ||||
\(661\) | −21.7640 | + | 13.9869i | −0.846521 | + | 0.544026i | −0.890488 | − | 0.455007i | \(-0.849637\pi\) |
0.0439671 | + | 0.999033i | \(0.486000\pi\) | |||||||
\(662\) | −0.0901797 | + | 0.627214i | −0.00350494 | + | 0.0243774i | ||||
\(663\) | 1.34908 | + | 0.867004i | 0.0523941 | + | 0.0336716i | ||||
\(664\) | −0.395257 | + | 0.456151i | −0.0153389 | + | 0.0177021i | ||||
\(665\) | 9.44674 | + | 2.77381i | 0.366329 | + | 0.107564i | ||||
\(666\) | −0.0492245 | −0.00190741 | ||||||||
\(667\) | −9.39901 | − | 13.6209i | −0.363931 | − | 0.527405i | ||||
\(668\) | 4.06352 | 0.157222 | ||||||||
\(669\) | 9.82590 | + | 2.88514i | 0.379891 | + | 0.111546i | ||||
\(670\) | −1.07099 | + | 1.23599i | −0.0413759 | + | 0.0477503i | ||||
\(671\) | 44.0336 | + | 28.2987i | 1.69990 | + | 1.09246i | ||||
\(672\) | 0.109711 | − | 0.763056i | 0.00423219 | − | 0.0294355i | ||||
\(673\) | −41.2374 | + | 26.5016i | −1.58958 | + | 1.02156i | −0.617606 | + | 0.786487i | \(0.711897\pi\) |
−0.971977 | + | 0.235076i | \(0.924466\pi\) | |||||||
\(674\) | 0.490243 | + | 1.07348i | 0.0188835 | + | 0.0413490i | ||||
\(675\) | 2.54775 | + | 2.94026i | 0.0980629 | + | 0.113171i | ||||
\(676\) | −3.65565 | − | 25.4256i | −0.140602 | − | 0.977907i | ||||
\(677\) | −4.21306 | + | 9.22532i | −0.161921 | + | 0.354558i | −0.973150 | − | 0.230170i | \(-0.926072\pi\) |
0.811229 | + | 0.584728i | \(0.198799\pi\) | |||||||
\(678\) | −0.638653 | + | 0.187526i | −0.0245273 | + | 0.00720187i | ||||
\(679\) | −15.6266 | + | 4.58840i | −0.599696 | + | 0.176087i | ||||
\(680\) | 1.41934 | − | 3.10792i | 0.0544291 | − | 0.119183i | ||||
\(681\) | −1.23055 | − | 8.55865i | −0.0471547 | − | 0.327968i | ||||
\(682\) | 1.67095 | + | 1.92838i | 0.0639839 | + | 0.0738414i | ||||
\(683\) | 0.0446478 | + | 0.0977651i | 0.00170840 | + | 0.00374088i | 0.910484 | − | 0.413544i | \(-0.135709\pi\) |
−0.908776 | + | 0.417285i | \(0.862982\pi\) | |||||||
\(684\) | 5.54410 | − | 3.56298i | 0.211984 | − | 0.136234i | ||||
\(685\) | −1.89957 | + | 13.2118i | −0.0725789 | + | 0.504797i | ||||
\(686\) | 0.0541936 | + | 0.0348281i | 0.00206912 | + | 0.00132974i | ||||
\(687\) | −0.140716 | + | 0.162395i | −0.00536865 | + | 0.00619576i | ||||
\(688\) | −4.44458 | − | 1.30505i | −0.169448 | − | 0.0497544i | ||||
\(689\) | 4.04544 | 0.154119 | ||||||||
\(690\) | 0.824937 | − | 0.409959i | 0.0314048 | − | 0.0156069i | ||||
\(691\) | 28.3238 | 1.07749 | 0.538743 | − | 0.842470i | \(-0.318899\pi\) | ||||
0.538743 | + | 0.842470i | \(0.318899\pi\) | |||||||
\(692\) | 44.3968 | + | 13.0361i | 1.68771 | + | 0.495557i | ||||
\(693\) | −3.56774 | + | 4.11739i | −0.135527 | + | 0.156407i | ||||
\(694\) | 0.652182 | + | 0.419132i | 0.0247565 | + | 0.0159100i | ||||
\(695\) | −5.68399 | + | 39.5330i | −0.215606 | + | 1.49957i | ||||
\(696\) | −0.747250 | + | 0.480229i | −0.0283245 | + | 0.0182030i | ||||
\(697\) | 4.80855 | + | 10.5293i | 0.182137 | + | 0.398824i | ||||
\(698\) | 0.667947 | + | 0.770852i | 0.0252822 | + | 0.0291772i | ||||
\(699\) | 2.71270 | + | 18.8672i | 0.102604 | + | 0.713624i | ||||
\(700\) | −3.22565 | + | 7.06320i | −0.121918 | + | 0.266964i | ||||
\(701\) | −29.6418 | + | 8.70363i | −1.11956 | + | 0.328731i | −0.788595 | − | 0.614913i | \(-0.789191\pi\) |
−0.330962 | + | 0.943644i | \(0.607373\pi\) | |||||||
\(702\) | 0.0222672 | − | 0.00653823i | 0.000840420 | − | 0.000246770i | ||||
\(703\) | 1.04814 | − | 2.29511i | 0.0395314 | − | 0.0865616i | ||||
\(704\) | 6.12566 | + | 42.6049i | 0.230870 | + | 1.60573i | ||||
\(705\) | 6.57014 | + | 7.58234i | 0.247446 | + | 0.285568i | ||||
\(706\) | 0.289801 | + | 0.634575i | 0.0109068 | + | 0.0238825i | ||||
\(707\) | 4.06585 | − | 2.61296i | 0.152912 | − | 0.0982705i | ||||
\(708\) | −2.83335 | + | 19.7063i | −0.106484 | + | 0.740610i | ||||
\(709\) | −26.9455 | − | 17.3168i | −1.01196 | − | 0.650348i | −0.0740607 | − | 0.997254i | \(-0.523596\pi\) |
−0.937900 | + | 0.346906i | \(0.887232\pi\) | |||||||
\(710\) | 0.360540 | − | 0.416086i | 0.0135308 | − | 0.0156154i | ||||
\(711\) | −12.9400 | − | 3.79952i | −0.485288 | − | 0.142493i | ||||
\(712\) | −3.74940 | −0.140515 | ||||||||
\(713\) | −25.5874 | + | 23.6851i | −0.958255 | + | 0.887014i | ||||
\(714\) | 0.286768 | 0.0107320 | ||||||||
\(715\) | −5.61503 | − | 1.64872i | −0.209990 | − | 0.0616587i | ||||
\(716\) | −14.5237 | + | 16.7612i | −0.542776 | + | 0.626397i | ||||
\(717\) | 5.40003 | + | 3.47039i | 0.201668 | + | 0.129604i | ||||
\(718\) | 0.236328 | − | 1.64370i | 0.00881969 | − | 0.0613423i | ||||
\(719\) | −1.23739 | + | 0.795219i | −0.0461467 | + | 0.0296567i | −0.563511 | − | 0.826109i | \(-0.690550\pi\) |
0.517364 | + | 0.855765i | \(0.326913\pi\) | |||||||
\(720\) | 4.92375 | + | 10.7815i | 0.183497 | + | 0.401803i | ||||
\(721\) | 2.22964 | + | 2.57314i | 0.0830361 | + | 0.0958287i | ||||
\(722\) | 0.0742311 | + | 0.516288i | 0.00276259 | + | 0.0192143i | ||||
\(723\) | −9.88509 | + | 21.6453i | −0.367630 | + | 0.804998i | ||||
\(724\) | 41.6976 | − | 12.2435i | 1.54968 | − | 0.455027i | ||||
\(725\) | 12.8813 | − | 3.78228i | 0.478399 | − | 0.140470i | ||||
\(726\) | −0.499941 | + | 1.09472i | −0.0185546 | + | 0.0406288i | ||||
\(727\) | −2.59629 | − | 18.0576i | −0.0962911 | − | 0.669719i | −0.979604 | − | 0.200936i | \(-0.935602\pi\) |
0.883313 | − | 0.468783i | \(-0.155307\pi\) | |||||||
\(728\) | 0.0607269 | + | 0.0700826i | 0.00225069 | + | 0.00259743i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −1.64986 | + | 1.06030i | −0.0610640 | + | 0.0392434i | ||||
\(731\) | 0.738242 | − | 5.13458i | 0.0273049 | − | 0.189909i | ||||
\(732\) | 16.1312 | + | 10.3669i | 0.596228 | + | 0.383172i | ||||
\(733\) | 28.7642 | − | 33.1956i | 1.06243 | − | 1.22611i | 0.0892610 | − | 0.996008i | \(-0.471549\pi\) |
0.973167 | − | 0.230099i | \(-0.0739051\pi\) | |||||||
\(734\) | −0.755230 | − | 0.221755i | −0.0278760 | − | 0.00818514i | ||||
\(735\) | −2.98170 | −0.109982 | ||||||||
\(736\) | 3.64026 | − | 0.645925i | 0.134182 | − | 0.0238091i | ||||
\(737\) | 46.3869 | 1.70868 | ||||||||
\(738\) | 0.160725 | + | 0.0471932i | 0.00591639 | + | 0.00173721i | ||||
\(739\) | −12.5059 | + | 14.4325i | −0.460036 | + | 0.530910i | −0.937613 | − | 0.347680i | \(-0.886970\pi\) |
0.477577 | + | 0.878590i | \(0.341515\pi\) | |||||||
\(740\) | 3.82542 | + | 2.45845i | 0.140625 | + | 0.0903744i | ||||
\(741\) | −0.169289 | + | 1.17743i | −0.00621899 | + | 0.0432540i | ||||
\(742\) | 0.608571 | − | 0.391105i | 0.0223413 | − | 0.0143579i | ||||
\(743\) | −15.7415 | − | 34.4690i | −0.577499 | − | 1.26455i | −0.942708 | − | 0.333620i | \(-0.891730\pi\) |
0.365209 | − | 0.930925i | \(-0.380997\pi\) | |||||||
\(744\) | 1.22554 | + | 1.41435i | 0.0449305 | + | 0.0518526i | ||||
\(745\) | 9.79005 | + | 68.0913i | 0.358680 | + | 2.49467i | ||||
\(746\) | −0.403303 | + | 0.883111i | −0.0147660 | + | 0.0323330i | ||||
\(747\) | 2.24979 | − | 0.660599i | 0.0823156 | − | 0.0241700i | ||||
\(748\) | −46.4434 | + | 13.6370i | −1.69814 | + | 0.498619i | ||||
\(749\) | 3.47908 | − | 7.61813i | 0.127123 | − | 0.278360i | ||||
\(750\) | −0.0303287 | − | 0.210941i | −0.00110745 | − | 0.00770247i | ||||
\(751\) | −6.11019 | − | 7.05153i | −0.222964 | − | 0.257314i | 0.633236 | − | 0.773959i | \(-0.281726\pi\) |
−0.856200 | + | 0.516645i | \(0.827181\pi\) | |||||||
\(752\) | 5.55641 | + | 12.1668i | 0.202621 | + | 0.443679i | ||||
\(753\) | 9.35728 | − | 6.01356i | 0.340998 | − | 0.219146i | ||||
\(754\) | 0.0113968 | − | 0.0792664i | 0.000415047 | − | 0.00288671i | ||||
\(755\) | −48.4774 | − | 31.1545i | −1.76427 | − | 1.13383i | ||||
\(756\) | −1.30700 | + | 1.50836i | −0.0475353 | + | 0.0548586i | ||||
\(757\) | 40.2340 | + | 11.8138i | 1.46233 | + | 0.429379i | 0.913598 | − | 0.406619i | \(-0.133293\pi\) |
0.548732 | + | 0.835998i | \(0.315111\pi\) | |||||||
\(758\) | −1.42348 | −0.0517032 | ||||||||
\(759\) | −24.1103 | − | 10.0685i | −0.875147 | − | 0.365462i | ||||
\(760\) | 2.53437 | 0.0919312 | ||||||||
\(761\) | −3.78003 | − | 1.10992i | −0.137026 | − | 0.0402345i | 0.212500 | − | 0.977161i | \(-0.431839\pi\) |
−0.349526 | + | 0.936926i | \(0.613658\pi\) | |||||||
\(762\) | −0.717301 | + | 0.827809i | −0.0259851 | + | 0.0299884i | ||||
\(763\) | −5.45263 | − | 3.50419i | −0.197399 | − | 0.126860i | ||||
\(764\) | 2.88548 | − | 20.0690i | 0.104393 | − | 0.726069i | ||||
\(765\) | −11.1661 | + | 7.17600i | −0.403710 | + | 0.259449i | ||||
\(766\) | 0.658763 | + | 1.44249i | 0.0238021 | + | 0.0521193i | ||||
\(767\) | −2.35327 | − | 2.71582i | −0.0849718 | − | 0.0980627i | ||||
\(768\) | 2.22994 | + | 15.5095i | 0.0804659 | + | 0.559653i | ||||
\(769\) | 0.618734 | − | 1.35484i | 0.0223121 | − | 0.0488568i | −0.898148 | − | 0.439694i | \(-0.855087\pi\) |
0.920460 | + | 0.390837i | \(0.127814\pi\) | |||||||
\(770\) | −1.00408 | + | 0.294826i | −0.0361847 | + | 0.0106248i | ||||
\(771\) | 15.8649 | − | 4.65835i | 0.571359 | − | 0.167766i | ||||
\(772\) | −0.557919 | + | 1.22167i | −0.0200799 | + | 0.0439689i | ||||
\(773\) | −2.18828 | − | 15.2198i | −0.0787070 | − | 0.547419i | −0.990579 | − | 0.136944i | \(-0.956272\pi\) |
0.911872 | − | 0.410475i | \(-0.134637\pi\) | |||||||
\(774\) | −0.0491596 | − | 0.0567332i | −0.00176700 | − | 0.00203923i | ||||
\(775\) | −11.7500 | − | 25.7290i | −0.422073 | − | 0.924212i | ||||
\(776\) | −3.52680 | + | 2.26654i | −0.126605 | + | 0.0813639i | ||||
\(777\) | −0.108745 | + | 0.756341i | −0.00390122 | + | 0.0271336i | ||||
\(778\) | 1.82565 | + | 1.17327i | 0.0654526 | + | 0.0420638i | ||||
\(779\) | −5.62273 | + | 6.48898i | −0.201455 | + | 0.232492i | ||||
\(780\) | −2.05701 | − | 0.603991i | −0.0736526 | − | 0.0216264i | ||||
\(781\) | −15.6158 | −0.558778 | ||||||||
\(782\) | 0.430546 | + | 1.30616i | 0.0153963 | + | 0.0467082i | ||||
\(783\) | 3.45072 | 0.123319 | ||||||||
\(784\) | −3.81410 | − | 1.11992i | −0.136218 | − | 0.0399971i | ||||
\(785\) | −30.8070 | + | 35.5531i | −1.09955 | + | 1.26895i | ||||
\(786\) | 0.423286 | + | 0.272030i | 0.0150981 | + | 0.00970297i | ||||
\(787\) | 2.40991 | − | 16.7613i | 0.0859042 | − | 0.597477i | −0.900712 | − | 0.434417i | \(-0.856955\pi\) |
0.986616 | − | 0.163060i | \(-0.0521364\pi\) | |||||||
\(788\) | 28.1181 | − | 18.0704i | 1.00167 | − | 0.643731i | ||||
\(789\) | 1.83451 | + | 4.01701i | 0.0653101 | + | 0.143009i | ||||
\(790\) | −1.69639 | − | 1.95774i | −0.0603548 | − | 0.0696532i | ||||
\(791\) | 1.47046 | + | 10.2273i | 0.0522835 | + | 0.363640i | ||||
\(792\) | −0.582581 | + | 1.27567i | −0.0207011 | + | 0.0453291i | ||||
\(793\) | −3.32091 | + | 0.975107i | −0.117929 | + | 0.0346271i | ||||
\(794\) | 1.50317 | − | 0.441371i | 0.0533456 | − | 0.0156637i | ||||
\(795\) | −13.9094 | + | 30.4574i | −0.493316 | + | 1.08021i | ||||
\(796\) | 4.81985 | + | 33.5228i | 0.170835 | + | 1.18818i | ||||
\(797\) | −23.0801 | − | 26.6359i | −0.817540 | − | 0.943491i | 0.181665 | − | 0.983360i | \(-0.441851\pi\) |
−0.999205 | + | 0.0398694i | \(0.987306\pi\) | |||||||
\(798\) | 0.0883648 | + | 0.193492i | 0.00312808 | + | 0.00684954i | ||||
\(799\) | −12.6008 | + | 8.09806i | −0.445785 | + | 0.286489i | ||||
\(800\) | −0.426832 | + | 2.96868i | −0.0150908 | + | 0.104959i | ||||
\(801\) | 12.2535 | + | 7.87482i | 0.432954 | + | 0.278243i | ||||
\(802\) | 0.728242 | − | 0.840436i | 0.0257151 | − | 0.0296768i | ||||
\(803\) | 53.3730 | + | 15.6717i | 1.88349 | + | 0.553043i | ||||
\(804\) | 16.9934 | 0.599310 | ||||||||
\(805\) | −4.47664 | − | 13.5809i | −0.157781 | − | 0.478665i | ||||
\(806\) | −0.168722 | −0.00594298 | ||||||||
\(807\) | −24.6007 | − | 7.22341i | −0.865985 | − | 0.254276i | ||||
\(808\) | 0.814710 | − | 0.940225i | 0.0286614 | − | 0.0330770i | ||||
\(809\) | 15.4090 | + | 9.90278i | 0.541753 | + | 0.348163i | 0.782724 | − | 0.622369i | \(-0.213830\pi\) |
−0.240971 | + | 0.970532i | \(0.577466\pi\) | |||||||
\(810\) | −0.0273360 | + | 0.190126i | −0.000960488 | + | 0.00668034i | ||||
\(811\) | −33.9364 | + | 21.8096i | −1.19167 | + | 0.765838i | −0.977495 | − | 0.210958i | \(-0.932342\pi\) |
−0.214172 | + | 0.976796i | \(0.568705\pi\) | |||||||
\(812\) | 2.86101 | + | 6.26474i | 0.100402 | + | 0.219849i | ||||
\(813\) | 11.5166 | + | 13.2909i | 0.403906 | + | 0.466133i | ||||
\(814\) | 0.0381660 | + | 0.265450i | 0.00133772 | + | 0.00930402i | ||||
\(815\) | −5.49830 | + | 12.0396i | −0.192597 | + | 0.421729i | ||||
\(816\) | −16.9786 | + | 4.98537i | −0.594370 | + | 0.174523i | ||||
\(817\) | 3.69196 | − | 1.08406i | 0.129165 | − | 0.0379263i | ||||
\(818\) | 0.429596 | − | 0.940684i | 0.0150205 | − | 0.0328903i | ||||
\(819\) | −0.0512687 | − | 0.356582i | −0.00179147 | − | 0.0124600i | ||||
\(820\) | −10.1336 | − | 11.6948i | −0.353880 | − | 0.408399i | ||||
\(821\) | −15.8392 | − | 34.6831i | −0.552794 | − | 1.21045i | −0.955465 | − | 0.295104i | \(-0.904646\pi\) |
0.402671 | − | 0.915345i | \(-0.368082\pi\) | |||||||
\(822\) | −0.242599 | + | 0.155909i | −0.00846162 | + | 0.00543796i | ||||
\(823\) | 4.96902 | − | 34.5603i | 0.173209 | − | 1.20470i | −0.698840 | − | 0.715278i | \(-0.746300\pi\) |
0.872049 | − | 0.489418i | \(-0.162791\pi\) | |||||||
\(824\) | 0.737296 | + | 0.473832i | 0.0256849 | + | 0.0165067i | ||||
\(825\) | 13.8804 | − | 16.0188i | 0.483252 | − | 0.557703i | ||||
\(826\) | −0.616572 | − | 0.181042i | −0.0214533 | − | 0.00629925i | ||||
\(827\) | −1.05877 | −0.0368170 | −0.0184085 | − | 0.999831i | \(-0.505860\pi\) | ||||
−0.0184085 | + | 0.999831i | \(0.505860\pi\) | |||||||
\(828\) | −8.83254 | − | 3.68848i | −0.306952 | − | 0.128183i | ||||
\(829\) | 1.95943 | 0.0680539 | 0.0340269 | − | 0.999421i | \(-0.489167\pi\) | ||||
0.0340269 | + | 0.999421i | \(0.489167\pi\) | |||||||
\(830\) | 0.432142 | + | 0.126888i | 0.0149999 | + | 0.00440436i | ||||
\(831\) | 10.6831 | − | 12.3290i | 0.370593 | − | 0.427687i | ||||
\(832\) | −2.39435 | − | 1.53876i | −0.0830092 | − | 0.0533468i | ||||
\(833\) | 0.633520 | − | 4.40623i | 0.0219502 | − | 0.152667i | ||||
\(834\) | −0.725918 | + | 0.466519i | −0.0251365 | + | 0.0161542i | ||||
\(835\) | −2.52186 | − | 5.52209i | −0.0872724 | − | 0.191100i | ||||
\(836\) | −23.5124 | − | 27.1348i | −0.813195 | − | 0.938477i | ||||
\(837\) | −1.03466 | − | 7.19624i | −0.0357632 | − | 0.248739i | ||||
\(838\) | 0.0473644 | − | 0.103713i | 0.00163617 | − | 0.00358272i | ||||
\(839\) | −48.6791 | + | 14.2935i | −1.68059 | + | 0.493466i | −0.976295 | − | 0.216442i | \(-0.930555\pi\) |
−0.704294 | + | 0.709908i | \(0.748737\pi\) | |||||||
\(840\) | −0.736436 | + | 0.216237i | −0.0254095 | + | 0.00746089i | ||||
\(841\) | −7.10050 | + | 15.5479i | −0.244845 | + | 0.536136i | ||||
\(842\) | −0.222905 | − | 1.55034i | −0.00768182 | − | 0.0534283i | ||||
\(843\) | 14.1628 | + | 16.3447i | 0.487792 | + | 0.562942i | ||||
\(844\) | −17.5924 | − | 38.5221i | −0.605557 | − | 1.32599i | ||||
\(845\) | −32.2832 | + | 20.7471i | −1.11058 | + | 0.713724i | ||||
\(846\) | −0.0308484 | + | 0.214555i | −0.00106059 | + | 0.00737657i | ||||
\(847\) | 15.7160 | + | 10.1001i | 0.540009 | + | 0.347043i | ||||
\(848\) | −29.2323 | + | 33.7358i | −1.00384 | + | 1.15849i | ||||
\(849\) | 6.89196 | + | 2.02366i | 0.236531 | + | 0.0694519i | ||||
\(850\) | −1.11568 | −0.0382674 | ||||||||
\(851\) | −3.60822 | + | 0.640241i | −0.123688 | + | 0.0219472i | ||||
\(852\) | −5.72069 | −0.195988 | ||||||||
\(853\) | −12.4055 | − | 3.64259i | −0.424756 | − | 0.124720i | 0.0623662 | − | 0.998053i | \(-0.480135\pi\) |
−0.487123 | + | 0.873334i | \(0.661954\pi\) | |||||||
\(854\) | −0.405306 | + | 0.467748i | −0.0138693 | + | 0.0160060i | ||||
\(855\) | −8.28261 | − | 5.32291i | −0.283259 | − | 0.182040i | ||||
\(856\) | 0.306805 | − | 2.13388i | 0.0104864 | − | 0.0729344i | ||||
\(857\) | 14.6495 | − | 9.41466i | 0.500418 | − | 0.321599i | −0.265966 | − | 0.963983i | \(-0.585691\pi\) |
0.766383 | + | 0.642384i | \(0.222054\pi\) | |||||||
\(858\) | −0.0525230 | − | 0.115009i | −0.00179311 | − | 0.00392635i | ||||
\(859\) | 10.7339 | + | 12.3876i | 0.366237 | + | 0.422660i | 0.908720 | − | 0.417407i | \(-0.137061\pi\) |
−0.542483 | + | 0.840067i | \(0.682516\pi\) | |||||||
\(860\) | 0.986916 | + | 6.86415i | 0.0336536 | + | 0.234066i | ||||
\(861\) | 1.08020 | − | 2.36531i | 0.0368131 | − | 0.0806095i | ||||
\(862\) | 1.38683 | − | 0.407210i | 0.0472356 | − | 0.0138696i | ||||
\(863\) | 0.966020 | − | 0.283649i | 0.0328837 | − | 0.00965553i | −0.265249 | − | 0.964180i | \(-0.585454\pi\) |
0.298133 | + | 0.954524i | \(0.403636\pi\) | |||||||
\(864\) | −0.320244 | + | 0.701237i | −0.0108949 | + | 0.0238566i | ||||
\(865\) | −9.83774 | − | 68.4230i | −0.334493 | − | 2.32645i | ||||
\(866\) | −0.521505 | − | 0.601849i | −0.0177215 | − | 0.0204517i | ||||
\(867\) | −1.16988 | − | 2.56169i | −0.0397313 | − | 0.0869995i | ||||
\(868\) | 12.2069 | − | 7.84487i | 0.414328 | − | 0.266272i | ||||
\(869\) | −10.4565 | + | 72.7266i | −0.354713 | + | 2.46708i | ||||
\(870\) | 0.557597 | + | 0.358346i | 0.0189043 | + | 0.0121491i | ||||
\(871\) | −2.00864 | + | 2.31810i | −0.0680603 | + | 0.0785457i | ||||
\(872\) | −1.60085 | − | 0.470052i | −0.0542117 | − | 0.0159180i | ||||
\(873\) | 16.2864 | 0.551210 | ||||||||
\(874\) | −0.748642 | + | 0.692985i | −0.0253232 | + | 0.0234406i | ||||
\(875\) | −3.30813 | −0.111835 | ||||||||
\(876\) | 19.5526 | + | 5.74117i | 0.660622 | + | 0.193976i | ||||
\(877\) | −18.6563 | + | 21.5305i | −0.629977 | + | 0.727032i | −0.977569 | − | 0.210614i | \(-0.932454\pi\) |
0.347593 | + | 0.937646i | \(0.386999\pi\) | |||||||
\(878\) | −0.795557 | − | 0.511273i | −0.0268487 | − | 0.0172546i | ||||
\(879\) | 1.58406 | − | 11.0174i | 0.0534290 | − | 0.371607i | ||||
\(880\) | 54.3231 | − | 34.9114i | 1.83123 | − | 1.17686i | ||||
\(881\) | 2.09037 | + | 4.57727i | 0.0704263 | + | 0.154212i | 0.941571 | − | 0.336814i | \(-0.109349\pi\) |
−0.871145 | + | 0.491026i | \(0.836622\pi\) | |||||||
\(882\) | −0.0421861 | − | 0.0486854i | −0.00142048 | − | 0.00163932i | ||||
\(883\) | −4.72071 | − | 32.8333i | −0.158865 | − | 1.10493i | −0.900730 | − | 0.434379i | \(-0.856968\pi\) |
0.741866 | − | 0.670548i | \(-0.233941\pi\) | |||||||
\(884\) | 1.32960 | − | 2.91143i | 0.0447194 | − | 0.0979219i | ||||
\(885\) | 28.5382 | − | 8.37958i | 0.959302 | − | 0.281676i | ||||
\(886\) | 1.03314 | − | 0.303357i | 0.0347090 | − | 0.0101915i | ||||
\(887\) | −7.44181 | + | 16.2953i | −0.249871 | + | 0.547142i | −0.992455 | − | 0.122612i | \(-0.960873\pi\) |
0.742583 | + | 0.669754i | \(0.233600\pi\) | |||||||
\(888\) | 0.0279925 | + | 0.194692i | 0.000939365 | + | 0.00653343i | ||||
\(889\) | 11.1348 | + | 12.8502i | 0.373448 | + | 0.430981i | ||||
\(890\) | 1.16225 | + | 2.54496i | 0.0389586 | + | 0.0853074i | ||||
\(891\) | 4.58323 | − | 2.94546i | 0.153544 | − | 0.0986766i | ||||
\(892\) | 2.90876 | − | 20.2309i | 0.0973926 | − | 0.677381i | ||||
\(893\) | −9.34685 | − | 6.00686i | −0.312780 | − | 0.201012i | ||||
\(894\) | −0.973287 | + | 1.12323i | −0.0325516 | + | 0.0375665i | ||||
\(895\) | 31.7911 | + | 9.33471i | 1.06266 | + | 0.312025i | ||||
\(896\) | −2.05076 | −0.0685111 | ||||||||
\(897\) | 1.54717 | − | 0.768880i | 0.0516586 | − | 0.0256721i | ||||
\(898\) | −0.220667 | −0.00736377 | ||||||||
\(899\) | −24.0713 | − | 7.06798i | −0.802824 | − | 0.235730i | ||||
\(900\) | 5.08492 | − | 5.86832i | 0.169497 | − | 0.195611i | ||||
\(901\) | −42.0533 | − | 27.0260i | −1.40100 | − | 0.900368i | ||||
\(902\) | 0.129879 | − | 0.903325i | 0.00432448 | − | 0.0300774i | ||||
\(903\) | −0.980314 | + | 0.630010i | −0.0326228 | + | 0.0209654i | ||||
\(904\) | 1.10488 | + | 2.41935i | 0.0367477 | + | 0.0804663i | ||||
\(905\) | −42.5162 | − | 49.0663i | −1.41329 | − | 1.63102i | ||||
\(906\) | −0.177182 | − | 1.23233i | −0.00588648 | − | 0.0409414i | ||||
\(907\) | −1.65877 | + | 3.63220i | −0.0550786 | + | 0.120605i | −0.935170 | − | 0.354198i | \(-0.884754\pi\) |
0.880092 | + | 0.474804i | \(0.157481\pi\) | |||||||
\(908\) | −16.5584 | + | 4.86198i | −0.549509 | + | 0.161351i | ||||
\(909\) | −4.63731 | + | 1.36164i | −0.153810 | + | 0.0451626i | ||||
\(910\) | 0.0287454 | − | 0.0629437i | 0.000952902 | − | 0.00208656i | ||||
\(911\) | 0.303766 | + | 2.11274i | 0.0100642 | + | 0.0699982i | 0.994235 | − | 0.107227i | \(-0.0341971\pi\) |
−0.984170 | + | 0.177225i | \(0.943288\pi\) | |||||||
\(912\) | −8.59558 | − | 9.91983i | −0.284628 | − | 0.328479i | ||||
\(913\) | −5.30673 | − | 11.6201i | −0.175627 | − | 0.384570i | ||||
\(914\) | −1.46235 | + | 0.939795i | −0.0483702 | + | 0.0310857i | ||||
\(915\) | 4.07687 | − | 28.3552i | 0.134777 | − | 0.937395i | ||||
\(916\) | 0.360786 | + | 0.231863i | 0.0119207 | + | 0.00766097i | ||||
\(917\) | 5.11488 | − | 5.90289i | 0.168908 | − | 0.194930i | ||||
\(918\) | −0.275152 | − | 0.0807919i | −0.00908137 | − | 0.00266653i | ||||
\(919\) | −40.3204 | −1.33005 | −0.665024 | − | 0.746822i | \(-0.731579\pi\) | ||||
−0.665024 | + | 0.746822i | \(0.731579\pi\) | |||||||
\(920\) | −2.09058 | − | 3.02964i | −0.0689243 | − | 0.0998843i | ||||
\(921\) | −3.00089 | −0.0988829 | ||||||||
\(922\) | −0.323117 | − | 0.0948756i | −0.0106413 | − | 0.00312456i | ||||
\(923\) | 0.676195 | − | 0.780370i | 0.0222572 | − | 0.0256862i | ||||
\(924\) | 9.14743 | + | 5.87870i | 0.300928 | + | 0.193395i | ||||
\(925\) | 0.423076 | − | 2.94256i | 0.0139107 | − | 0.0967508i | ||||
\(926\) | −1.12871 | + | 0.725377i | −0.0370917 | + | 0.0238374i | ||||
\(927\) | −1.41438 | − | 3.09707i | −0.0464545 | − | 0.101721i | ||||
\(928\) | 1.74204 | + | 2.01042i | 0.0571852 | + | 0.0659953i | ||||
\(929\) | −3.12929 | − | 21.7647i | −0.102669 | − | 0.714076i | −0.974519 | − | 0.224304i | \(-0.927989\pi\) |
0.871851 | − | 0.489772i | \(-0.162920\pi\) | |||||||
\(930\) | 0.580117 | − | 1.27028i | 0.0190228 | − | 0.0416541i | ||||
\(931\) | 3.16824 | − | 0.930280i | 0.103835 | − | 0.0304887i | ||||
\(932\) | 36.5023 | − | 10.7181i | 1.19567 | − | 0.351082i | ||||
\(933\) | −7.47203 | + | 16.3615i | −0.244623 | + | 0.535650i | ||||
\(934\) | 0.0715105 | + | 0.497366i | 0.00233989 | + | 0.0162743i | ||||
\(935\) | 47.3551 | + | 54.6507i | 1.54868 | + | 1.78727i | ||||
\(936\) | −0.0385225 | − | 0.0843525i | −0.00125915 | − | 0.00275715i | ||||
\(937\) | 18.1227 | − | 11.6467i | 0.592042 | − | 0.380482i | −0.210043 | − | 0.977692i | \(-0.567360\pi\) |
0.802085 | + | 0.597210i | \(0.203724\pi\) | |||||||
\(938\) | −0.0780589 | + | 0.542911i | −0.00254871 | + | 0.0177267i | ||||
\(939\) | −2.95376 | − | 1.89827i | −0.0963924 | − | 0.0619476i | ||||
\(940\) | 13.1130 | − | 15.1332i | 0.427699 | − | 0.493591i | ||||
\(941\) | −5.05095 | − | 1.48309i | −0.164656 | − | 0.0483475i | 0.198365 | − | 0.980128i | \(-0.436437\pi\) |
−0.363022 | + | 0.931781i | \(0.618255\pi\) | |||||||
\(942\) | −1.01638 | −0.0331155 | ||||||||
\(943\) | 12.3952 | + | 1.36884i | 0.403644 | + | 0.0445757i | ||||
\(944\) | 39.6526 | 1.29058 | ||||||||
\(945\) | 2.86092 | + | 0.840041i | 0.0930657 | + | 0.0273265i | ||||
\(946\) | −0.267826 | + | 0.309087i | −0.00870777 | + | 0.0100493i | ||||
\(947\) | 39.7454 | + | 25.5428i | 1.29155 | + | 0.830031i | 0.992266 | − | 0.124132i | \(-0.0396147\pi\) |
0.299287 | + | 0.954163i | \(0.403251\pi\) | |||||||
\(948\) | −3.83063 | + | 26.6426i | −0.124413 | + | 0.865312i | ||||
\(949\) | −3.09431 | + | 1.98860i | −0.100446 | + | 0.0645525i | ||||
\(950\) | −0.343785 | − | 0.752784i | −0.0111539 | − | 0.0244235i | ||||
\(951\) | −7.40286 | − | 8.54336i | −0.240054 | − | 0.277037i | ||||
\(952\) | −0.163076 | − | 1.13422i | −0.00528532 | − | 0.0367602i | ||||
\(953\) | −1.44737 | + | 3.16930i | −0.0468850 | + | 0.102664i | −0.931625 | − | 0.363421i | \(-0.881609\pi\) |
0.884740 | + | 0.466085i | \(0.154336\pi\) | |||||||
\(954\) | −0.694106 | + | 0.203808i | −0.0224725 | + | 0.00659853i | ||||
\(955\) | −29.0633 | + | 8.53376i | −0.940467 | + | 0.276146i | ||||
\(956\) | 5.32205 | − | 11.6537i | 0.172127 | − | 0.376907i | ||||
\(957\) | −2.67549 | − | 18.6085i | −0.0864864 | − | 0.601526i | ||||
\(958\) | −1.46067 | − | 1.68570i | −0.0471921 | − | 0.0544626i | ||||
\(959\) | 1.85962 | + | 4.07200i | 0.0600503 | + | 0.131492i | ||||
\(960\) | 19.8175 | − | 12.7359i | 0.639607 | − | 0.411051i | ||||
\(961\) | −3.11049 | + | 21.6340i | −0.100339 | + | 0.697870i | ||||
\(962\) | −0.0149180 | − | 0.00958722i | −0.000480976 | − | 0.000309104i | ||||
\(963\) | −5.48443 | + | 6.32937i | −0.176733 | + | 0.203961i | ||||
\(964\) | 45.5689 | + | 13.3802i | 1.46767 | + | 0.430948i | ||||
\(965\) | 2.00643 | 0.0645893 | ||||||||
\(966\) | 0.158413 | − | 0.265243i | 0.00509686 | − | 0.00853405i | ||||
\(967\) | 8.66076 | 0.278511 | 0.139256 | − | 0.990256i | \(-0.455529\pi\) | ||||
0.139256 | + | 0.990256i | \(0.455529\pi\) | |||||||
\(968\) | 4.61411 | + | 1.35482i | 0.148303 | + | 0.0435457i | ||||
\(969\) | 9.62577 | − | 11.1087i | 0.309224 | − | 0.356864i | ||||
\(970\) | 2.63169 | + | 1.69129i | 0.0844986 | + | 0.0543039i | ||||
\(971\) | 0.918627 | − | 6.38919i | 0.0294801 | − | 0.205039i | −0.969758 | − | 0.244069i | \(-0.921518\pi\) |
0.999238 | + | 0.0390300i | \(0.0124268\pi\) | |||||||
\(972\) | 1.67902 | − | 1.07904i | 0.0538545 | − | 0.0346102i | ||||
\(973\) | 5.56445 | + | 12.1844i | 0.178388 | + | 0.390615i | ||||
\(974\) | −1.70865 | − | 1.97189i | −0.0547487 | − | 0.0631833i | ||||
\(975\) | 0.199462 | + | 1.38729i | 0.00638790 | + | 0.0444288i | ||||
\(976\) | 15.8652 | − | 34.7399i | 0.507832 | − | 1.11200i | ||||
\(977\) | 46.7055 | − | 13.7140i | 1.49424 | − | 0.438748i | 0.570348 | − | 0.821403i | \(-0.306808\pi\) |
0.923891 | + | 0.382655i | \(0.124990\pi\) | |||||||
\(978\) | −0.274375 | + | 0.0805638i | −0.00877355 | + | 0.00257615i | ||||
\(979\) | 32.9654 | − | 72.1841i | 1.05358 | − | 2.30701i | ||||
\(980\) | 0.846919 | + | 5.89045i | 0.0270538 | + | 0.188163i | ||||
\(981\) | 4.24452 | + | 4.89843i | 0.135517 | + | 0.156395i | ||||
\(982\) | −0.398096 | − | 0.871709i | −0.0127038 | − | 0.0278173i | ||||
\(983\) | 37.0611 | − | 23.8177i | 1.18206 | − | 0.759667i | 0.206300 | − | 0.978489i | \(-0.433858\pi\) |
0.975765 | + | 0.218822i | \(0.0702214\pi\) | |||||||
\(984\) | 0.0952582 | − | 0.662535i | 0.00303672 | − | 0.0211208i | ||||
\(985\) | −42.0070 | − | 26.9963i | −1.33845 | − | 0.860172i | ||||
\(986\) | −0.648021 | + | 0.747856i | −0.0206372 | + | 0.0238166i | ||||
\(987\) | 3.22852 | + | 0.947980i | 0.102765 | + | 0.0301745i | ||||
\(988\) | 2.37414 | 0.0755315 | ||||||||
\(989\) | −4.34136 | − | 3.51922i | −0.138047 | − | 0.111905i | ||||
\(990\) | 1.04647 | 0.0332591 | ||||||||
\(991\) | −30.6752 | − | 9.00705i | −0.974430 | − | 0.286119i | −0.244507 | − | 0.969648i | \(-0.578626\pi\) |
−0.729923 | + | 0.683529i | \(0.760444\pi\) | |||||||
\(992\) | 3.67026 | − | 4.23571i | 0.116531 | − | 0.134484i | ||||
\(993\) | −8.27494 | − | 5.31798i | −0.262597 | − | 0.168761i | ||||
\(994\) | 0.0262779 | − | 0.182767i | 0.000833486 | − | 0.00579702i | ||||
\(995\) | 42.5644 | − | 27.3545i | 1.34938 | − | 0.867194i | ||||
\(996\) | −1.94407 | − | 4.25691i | −0.0616001 | − | 0.134885i | ||||
\(997\) | 26.4621 | + | 30.5389i | 0.838063 | + | 0.967176i | 0.999807 | − | 0.0196566i | \(-0.00625728\pi\) |
−0.161744 | + | 0.986833i | \(0.551712\pi\) | |||||||
\(998\) | −0.292299 | − | 2.03298i | −0.00925255 | − | 0.0643529i | ||||
\(999\) | 0.317426 | − | 0.695067i | 0.0100429 | − | 0.0219909i |
(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 | 483.2.q.d.64.3 | ✓ | 60 | |
23.9 | even | 11 | inner | 483.2.q.d.400.3 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.d.64.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
483.2.q.d.400.3 | yes | 60 | 23.9 | even | 11 | inner |