Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 361.3 | ||
Character | \(\chi\) | \(=\) | 930.361 |
Dual form | 930.2.bg.g.541.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | 0.408047 | + | 3.88231i | 0.154227 | + | 1.46737i | 0.748513 | + | 0.663120i | \(0.230768\pi\) |
−0.594286 | + | 0.804254i | \(0.702565\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | 3.25100 | + | 1.44744i | 0.980213 | + | 0.436419i | 0.833355 | − | 0.552739i | \(-0.186417\pi\) |
0.146858 | + | 0.989158i | \(0.453084\pi\) | |||||||
\(12\) | −0.978148 | − | 0.207912i | −0.282367 | − | 0.0600189i | ||||
\(13\) | −3.59874 | + | 0.764935i | −0.998110 | + | 0.212155i | −0.677870 | − | 0.735182i | \(-0.737097\pi\) |
−0.320240 | + | 0.947337i | \(0.603763\pi\) | |||||||
\(14\) | −3.56620 | + | 1.58777i | −0.953107 | + | 0.424351i | ||||
\(15\) | 0.309017 | − | 0.951057i | 0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −0.319207 | + | 0.142120i | −0.0774192 | + | 0.0344692i | −0.445081 | − | 0.895490i | \(-0.646825\pi\) |
0.367662 | + | 0.929960i | \(0.380158\pi\) | |||||||
\(18\) | −0.978148 | + | 0.207912i | −0.230552 | + | 0.0490053i | ||||
\(19\) | −2.66513 | − | 0.566490i | −0.611422 | − | 0.129962i | −0.108215 | − | 0.994128i | \(-0.534513\pi\) |
−0.503207 | + | 0.864166i | \(0.667847\pi\) | |||||||
\(20\) | 0.913545 | + | 0.406737i | 0.204275 | + | 0.0909491i | ||||
\(21\) | −2.61208 | + | 2.90101i | −0.570002 | + | 0.633052i | ||||
\(22\) | −0.371981 | + | 3.53916i | −0.0793067 | + | 0.754552i | ||||
\(23\) | 1.27744 | + | 0.928117i | 0.266365 | + | 0.193526i | 0.712949 | − | 0.701216i | \(-0.247359\pi\) |
−0.446583 | + | 0.894742i | \(0.647359\pi\) | |||||||
\(24\) | −0.104528 | − | 0.994522i | −0.0213368 | − | 0.203006i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.83957 | − | 3.18622i | −0.360769 | − | 0.624870i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −2.61208 | − | 2.90101i | −0.493637 | − | 0.548239i | ||||
\(29\) | 0.283390 | + | 0.872186i | 0.0526243 | + | 0.161961i | 0.973915 | − | 0.226914i | \(-0.0728637\pi\) |
−0.921290 | + | 0.388875i | \(0.872864\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 4.71374 | − | 2.96321i | 0.846613 | − | 0.532209i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.09969 | + | 3.38449i | 0.191431 | + | 0.589163i | ||||
\(34\) | −0.233805 | − | 0.259667i | −0.0400972 | − | 0.0445325i | ||||
\(35\) | 3.15815 | − | 2.29453i | 0.533825 | − | 0.387847i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −3.13932 | + | 5.43747i | −0.516102 | + | 0.893914i | 0.483724 | + | 0.875221i | \(0.339284\pi\) |
−0.999825 | + | 0.0186935i | \(0.994049\pi\) | |||||||
\(38\) | −0.284805 | − | 2.70974i | −0.0462015 | − | 0.439578i | ||||
\(39\) | −2.97648 | − | 2.16254i | −0.476618 | − | 0.346284i | ||||
\(40\) | −0.104528 | + | 0.994522i | −0.0165274 | + | 0.157248i | ||||
\(41\) | −5.39771 | + | 5.99476i | −0.842980 | + | 0.936224i | −0.998669 | − | 0.0515819i | \(-0.983574\pi\) |
0.155689 | + | 0.987806i | \(0.450240\pi\) | |||||||
\(42\) | −3.56620 | − | 1.58777i | −0.550277 | − | 0.244999i | ||||
\(43\) | −9.44211 | − | 2.00698i | −1.43991 | − | 0.306062i | −0.579210 | − | 0.815178i | \(-0.696639\pi\) |
−0.860698 | + | 0.509116i | \(0.829972\pi\) | |||||||
\(44\) | −3.48089 | + | 0.739887i | −0.524765 | + | 0.111542i | ||||
\(45\) | 0.913545 | − | 0.406737i | 0.136183 | − | 0.0606327i | ||||
\(46\) | −0.487940 | + | 1.50172i | −0.0719428 | + | 0.221417i | ||||
\(47\) | −1.30379 | + | 4.01265i | −0.190177 | + | 0.585305i | −0.999999 | − | 0.00137094i | \(-0.999564\pi\) |
0.809822 | + | 0.586676i | \(0.199564\pi\) | |||||||
\(48\) | 0.913545 | − | 0.406737i | 0.131859 | − | 0.0587074i | ||||
\(49\) | −8.05877 | + | 1.71294i | −1.15125 | + | 0.244706i | ||||
\(50\) | −0.978148 | − | 0.207912i | −0.138331 | − | 0.0294032i | ||||
\(51\) | −0.319207 | − | 0.142120i | −0.0446980 | − | 0.0199008i | ||||
\(52\) | 2.46182 | − | 2.73413i | 0.341393 | − | 0.379155i | ||||
\(53\) | −0.146274 | + | 1.39170i | −0.0200923 | + | 0.191165i | −0.999964 | − | 0.00846207i | \(-0.997306\pi\) |
0.979872 | + | 0.199627i | \(0.0639731\pi\) | |||||||
\(54\) | −0.809017 | − | 0.587785i | −0.110093 | − | 0.0799874i | ||||
\(55\) | −0.371981 | − | 3.53916i | −0.0501579 | − | 0.477221i | ||||
\(56\) | 1.95185 | − | 3.38070i | 0.260826 | − | 0.451765i | ||||
\(57\) | −1.36233 | − | 2.35963i | −0.180445 | − | 0.312541i | ||||
\(58\) | −0.741926 | + | 0.539041i | −0.0974196 | + | 0.0707795i | ||||
\(59\) | 6.16411 | + | 6.84594i | 0.802499 | + | 0.891266i | 0.995956 | − | 0.0898432i | \(-0.0286366\pi\) |
−0.193457 | + | 0.981109i | \(0.561970\pi\) | |||||||
\(60\) | 0.309017 | + | 0.951057i | 0.0398939 | + | 0.122781i | ||||
\(61\) | 4.56384 | 0.584340 | 0.292170 | − | 0.956366i | \(-0.405623\pi\) | ||||
0.292170 | + | 0.956366i | \(0.405623\pi\) | |||||||
\(62\) | 4.27481 | + | 3.56735i | 0.542901 | + | 0.453054i | ||||
\(63\) | −3.90369 | −0.491819 | ||||||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 2.46182 | + | 2.73413i | 0.305351 | + | 0.339127i | ||||
\(66\) | −2.87902 | + | 2.09173i | −0.354382 | + | 0.257474i | ||||
\(67\) | −1.34186 | − | 2.32417i | −0.163934 | − | 0.283942i | 0.772342 | − | 0.635207i | \(-0.219085\pi\) |
−0.936276 | + | 0.351265i | \(0.885752\pi\) | |||||||
\(68\) | 0.174708 | − | 0.302603i | 0.0211865 | − | 0.0366960i | ||||
\(69\) | 0.165051 | + | 1.57036i | 0.0198698 | + | 0.189049i | ||||
\(70\) | 3.15815 | + | 2.29453i | 0.377471 | + | 0.274249i | ||||
\(71\) | 0.746758 | − | 7.10493i | 0.0886239 | − | 0.843200i | −0.856425 | − | 0.516271i | \(-0.827320\pi\) |
0.945049 | − | 0.326929i | \(-0.106014\pi\) | |||||||
\(72\) | 0.669131 | − | 0.743145i | 0.0788578 | − | 0.0875805i | ||||
\(73\) | 0.290327 | + | 0.129262i | 0.0339802 | + | 0.0151290i | 0.423656 | − | 0.905823i | \(-0.360746\pi\) |
−0.389676 | + | 0.920952i | \(0.627413\pi\) | |||||||
\(74\) | −6.14144 | − | 1.30540i | −0.713928 | − | 0.151750i | ||||
\(75\) | −0.978148 | + | 0.207912i | −0.112947 | + | 0.0240076i | ||||
\(76\) | 2.48911 | − | 1.10822i | 0.285520 | − | 0.127122i | ||||
\(77\) | −4.29284 | + | 13.2120i | −0.489214 | + | 1.50565i | ||||
\(78\) | 1.13691 | − | 3.49906i | 0.128730 | − | 0.396191i | ||||
\(79\) | 14.9461 | − | 6.65444i | 1.68157 | − | 0.748683i | 0.681714 | − | 0.731618i | \(-0.261235\pi\) |
0.999854 | − | 0.0170643i | \(-0.00543200\pi\) | |||||||
\(80\) | −0.978148 | + | 0.207912i | −0.109360 | + | 0.0232452i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −7.36934 | − | 3.28104i | −0.813807 | − | 0.362330i | ||||
\(83\) | −6.51855 | + | 7.23958i | −0.715503 | + | 0.794647i | −0.985763 | − | 0.168140i | \(-0.946224\pi\) |
0.270260 | + | 0.962787i | \(0.412890\pi\) | |||||||
\(84\) | 0.408047 | − | 3.88231i | 0.0445216 | − | 0.423594i | ||||
\(85\) | 0.282684 | + | 0.205382i | 0.0306613 | + | 0.0222768i | ||||
\(86\) | −1.00902 | − | 9.60017i | −0.108805 | − | 1.03521i | ||||
\(87\) | −0.458535 | + | 0.794207i | −0.0491602 | + | 0.0851479i | ||||
\(88\) | −1.77933 | − | 3.08189i | −0.189677 | − | 0.328531i | ||||
\(89\) | 4.58172 | − | 3.32881i | 0.485661 | − | 0.352854i | −0.317852 | − | 0.948140i | \(-0.602962\pi\) |
0.803513 | + | 0.595287i | \(0.202962\pi\) | |||||||
\(90\) | 0.669131 | + | 0.743145i | 0.0705326 | + | 0.0783343i | ||||
\(91\) | −4.43816 | − | 13.6593i | −0.465246 | − | 1.43188i | ||||
\(92\) | −1.57901 | −0.164623 | ||||||||
\(93\) | 5.35621 | + | 1.52022i | 0.555413 | + | 0.157639i | ||||
\(94\) | −4.21915 | −0.435172 | ||||||||
\(95\) | 0.841968 | + | 2.59131i | 0.0863841 | + | 0.265863i | ||||
\(96\) | 0.669131 | + | 0.743145i | 0.0682929 | + | 0.0758469i | ||||
\(97\) | 4.44280 | − | 3.22788i | 0.451098 | − | 0.327742i | −0.338931 | − | 0.940811i | \(-0.610065\pi\) |
0.790029 | + | 0.613069i | \(0.210065\pi\) | |||||||
\(98\) | −4.11940 | − | 7.13502i | −0.416123 | − | 0.720746i | ||||
\(99\) | −1.77933 | + | 3.08189i | −0.178829 | + | 0.309742i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | 12.7461 | + | 9.26059i | 1.26829 | + | 0.921463i | 0.999133 | − | 0.0416344i | \(-0.0132565\pi\) |
0.269152 | + | 0.963098i | \(0.413256\pi\) | |||||||
\(102\) | 0.0365239 | − | 0.347502i | 0.00361641 | − | 0.0344078i | ||||
\(103\) | 8.56807 | − | 9.51580i | 0.844237 | − | 0.937620i | −0.154494 | − | 0.987994i | \(-0.549375\pi\) |
0.998730 | + | 0.0503740i | \(0.0160413\pi\) | |||||||
\(104\) | 3.36106 | + | 1.49644i | 0.329579 | + | 0.146738i | ||||
\(105\) | 3.81839 | + | 0.811623i | 0.372636 | + | 0.0792063i | ||||
\(106\) | −1.36879 | + | 0.290945i | −0.132949 | + | 0.0282591i | ||||
\(107\) | 6.33965 | − | 2.82259i | 0.612877 | − | 0.272870i | −0.0767326 | − | 0.997052i | \(-0.524449\pi\) |
0.689610 | + | 0.724181i | \(0.257782\pi\) | |||||||
\(108\) | 0.309017 | − | 0.951057i | 0.0297352 | − | 0.0915155i | ||||
\(109\) | 4.98518 | − | 15.3428i | 0.477493 | − | 1.46957i | −0.365072 | − | 0.930979i | \(-0.618956\pi\) |
0.842565 | − | 0.538594i | \(-0.181044\pi\) | |||||||
\(110\) | 3.25100 | − | 1.44744i | 0.309970 | − | 0.138008i | ||||
\(111\) | −6.14144 | + | 1.30540i | −0.582920 | + | 0.123904i | ||||
\(112\) | 3.81839 | + | 0.811623i | 0.360804 | + | 0.0766912i | ||||
\(113\) | −0.124622 | − | 0.0554853i | −0.0117235 | − | 0.00521962i | 0.400867 | − | 0.916136i | \(-0.368709\pi\) |
−0.412590 | + | 0.910917i | \(0.635376\pi\) | |||||||
\(114\) | 1.82316 | − | 2.02482i | 0.170754 | − | 0.189642i | ||||
\(115\) | 0.165051 | − | 1.57036i | 0.0153911 | − | 0.146437i | ||||
\(116\) | −0.741926 | − | 0.539041i | −0.0688861 | − | 0.0500487i | ||||
\(117\) | −0.384574 | − | 3.65898i | −0.0355539 | − | 0.338273i | ||||
\(118\) | −4.60606 | + | 7.97793i | −0.424022 | + | 0.734428i | ||||
\(119\) | −0.682006 | − | 1.18127i | −0.0625194 | − | 0.108287i | ||||
\(120\) | −0.809017 | + | 0.587785i | −0.0738528 | + | 0.0536572i | ||||
\(121\) | 1.11347 | + | 1.23664i | 0.101225 | + | 0.112421i | ||||
\(122\) | 1.41030 | + | 4.34047i | 0.127683 | + | 0.392968i | ||||
\(123\) | −8.06675 | −0.727354 | ||||||||
\(124\) | −2.07176 | + | 5.16796i | −0.186050 | + | 0.464096i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −1.20631 | − | 3.71263i | −0.107466 | − | 0.330747i | ||||
\(127\) | −0.341643 | − | 0.379433i | −0.0303159 | − | 0.0336692i | 0.727796 | − | 0.685794i | \(-0.240545\pi\) |
−0.758112 | + | 0.652124i | \(0.773878\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | −4.82653 | − | 8.35979i | −0.424952 | − | 0.736038i | ||||
\(130\) | −1.83957 | + | 3.18622i | −0.161341 | + | 0.279450i | ||||
\(131\) | 2.01100 | + | 19.1334i | 0.175702 | + | 1.67169i | 0.626769 | + | 0.779205i | \(0.284377\pi\) |
−0.451067 | + | 0.892490i | \(0.648957\pi\) | |||||||
\(132\) | −2.87902 | − | 2.09173i | −0.250586 | − | 0.182062i | ||||
\(133\) | 1.11179 | − | 10.5780i | 0.0964046 | − | 0.917228i | ||||
\(134\) | 1.79576 | − | 1.99439i | 0.155130 | − | 0.172289i | ||||
\(135\) | 0.913545 | + | 0.406737i | 0.0786255 | + | 0.0350063i | ||||
\(136\) | 0.341780 | + | 0.0726477i | 0.0293074 | + | 0.00622949i | ||||
\(137\) | 7.85876 | − | 1.67043i | 0.671419 | − | 0.142715i | 0.140427 | − | 0.990091i | \(-0.455153\pi\) |
0.530992 | + | 0.847377i | \(0.321819\pi\) | |||||||
\(138\) | −1.44249 | + | 0.642240i | −0.122793 | + | 0.0546711i | ||||
\(139\) | −3.24900 | + | 9.99940i | −0.275577 | + | 0.848138i | 0.713489 | + | 0.700666i | \(0.247114\pi\) |
−0.989066 | + | 0.147472i | \(0.952886\pi\) | |||||||
\(140\) | −1.20631 | + | 3.71263i | −0.101952 | + | 0.313775i | ||||
\(141\) | −3.85438 | + | 1.71608i | −0.324598 | + | 0.144520i | ||||
\(142\) | 6.98795 | − | 1.48533i | 0.586416 | − | 0.124646i | ||||
\(143\) | −12.8067 | − | 2.72214i | −1.07095 | − | 0.227637i | ||||
\(144\) | 0.913545 | + | 0.406737i | 0.0761288 | + | 0.0338947i | ||||
\(145\) | 0.613640 | − | 0.681516i | 0.0509600 | − | 0.0565969i | ||||
\(146\) | −0.0332194 | + | 0.316062i | −0.00274926 | + | 0.0261574i | ||||
\(147\) | −6.66534 | − | 4.84265i | −0.549748 | − | 0.399415i | ||||
\(148\) | −0.656297 | − | 6.24425i | −0.0539473 | − | 0.513274i | ||||
\(149\) | 3.97780 | − | 6.88975i | 0.325874 | − | 0.564430i | −0.655815 | − | 0.754922i | \(-0.727675\pi\) |
0.981689 | + | 0.190492i | \(0.0610082\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | 9.54629 | − | 6.93578i | 0.776866 | − | 0.564426i | −0.127171 | − | 0.991881i | \(-0.540590\pi\) |
0.904037 | + | 0.427455i | \(0.140590\pi\) | |||||||
\(152\) | 1.82316 | + | 2.02482i | 0.147878 | + | 0.164235i | ||||
\(153\) | −0.107975 | − | 0.332314i | −0.00872930 | − | 0.0268660i | ||||
\(154\) | −13.8919 | −1.11944 | ||||||||
\(155\) | −4.92309 | − | 2.60061i | −0.395432 | − | 0.208886i | ||||
\(156\) | 3.67913 | 0.294566 | ||||||||
\(157\) | 7.30753 | + | 22.4903i | 0.583204 | + | 1.79492i | 0.606365 | + | 0.795187i | \(0.292627\pi\) |
−0.0231604 | + | 0.999732i | \(0.507373\pi\) | |||||||
\(158\) | 10.9473 | + | 12.1583i | 0.870924 | + | 0.967259i | ||||
\(159\) | −1.13211 | + | 0.822528i | −0.0897824 | + | 0.0652307i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −3.08198 | + | 5.33814i | −0.242894 | + | 0.420704i | ||||
\(162\) | −0.104528 | − | 0.994522i | −0.00821253 | − | 0.0781370i | ||||
\(163\) | −7.76364 | − | 5.64061i | −0.608095 | − | 0.441807i | 0.240648 | − | 0.970612i | \(-0.422640\pi\) |
−0.848743 | + | 0.528806i | \(0.822640\pi\) | |||||||
\(164\) | 0.843205 | − | 8.02256i | 0.0658432 | − | 0.626456i | ||||
\(165\) | 2.38121 | − | 2.64460i | 0.185377 | − | 0.205882i | ||||
\(166\) | −8.89959 | − | 3.96235i | −0.690742 | − | 0.307538i | ||||
\(167\) | 18.9574 | + | 4.02951i | 1.46697 | + | 0.311813i | 0.871034 | − | 0.491222i | \(-0.163450\pi\) |
0.595931 | + | 0.803035i | \(0.296783\pi\) | |||||||
\(168\) | 3.81839 | − | 0.811623i | 0.294595 | − | 0.0626181i | ||||
\(169\) | 0.489680 | − | 0.218019i | 0.0376677 | − | 0.0167707i | ||||
\(170\) | −0.107975 | + | 0.332314i | −0.00828134 | + | 0.0254874i | ||||
\(171\) | 0.841968 | − | 2.59131i | 0.0643869 | − | 0.198163i | ||||
\(172\) | 8.81850 | − | 3.92625i | 0.672404 | − | 0.299374i | ||||
\(173\) | 4.58827 | − | 0.975267i | 0.348840 | − | 0.0741481i | −0.0301597 | − | 0.999545i | \(-0.509602\pi\) |
0.378999 | + | 0.925397i | \(0.376268\pi\) | |||||||
\(174\) | −0.897031 | − | 0.190670i | −0.0680037 | − | 0.0144546i | ||||
\(175\) | −3.56620 | − | 1.58777i | −0.269579 | − | 0.120024i | ||||
\(176\) | 2.38121 | − | 2.64460i | 0.179490 | − | 0.199344i | ||||
\(177\) | −0.962929 | + | 9.16166i | −0.0723782 | + | 0.688632i | ||||
\(178\) | 4.58172 | + | 3.32881i | 0.343414 | + | 0.249505i | ||||
\(179\) | −1.44569 | − | 13.7548i | −0.108056 | − | 1.02808i | −0.905400 | − | 0.424559i | \(-0.860429\pi\) |
0.797344 | − | 0.603525i | \(-0.206238\pi\) | |||||||
\(180\) | −0.500000 | + | 0.866025i | −0.0372678 | + | 0.0645497i | ||||
\(181\) | −1.88494 | − | 3.26481i | −0.140106 | − | 0.242671i | 0.787430 | − | 0.616404i | \(-0.211411\pi\) |
−0.927537 | + | 0.373732i | \(0.878078\pi\) | |||||||
\(182\) | 11.6193 | − | 8.44189i | 0.861277 | − | 0.625755i | ||||
\(183\) | 3.05380 | + | 3.39159i | 0.225744 | + | 0.250714i | ||||
\(184\) | −0.487940 | − | 1.50172i | −0.0359714 | − | 0.110709i | ||||
\(185\) | 6.27865 | 0.461615 | ||||||||
\(186\) | 0.209348 | + | 5.56383i | 0.0153501 | + | 0.407960i | ||||
\(187\) | −1.24345 | −0.0909303 | ||||||||
\(188\) | −1.30379 | − | 4.01265i | −0.0950885 | − | 0.292652i | ||||
\(189\) | −2.61208 | − | 2.90101i | −0.190001 | − | 0.211017i | ||||
\(190\) | −2.20430 | + | 1.60152i | −0.159917 | + | 0.116186i | ||||
\(191\) | 4.30924 | + | 7.46382i | 0.311806 | + | 0.540063i | 0.978753 | − | 0.205041i | \(-0.0657329\pi\) |
−0.666948 | + | 0.745105i | \(0.732400\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | 1.82488 | + | 17.3625i | 0.131357 | + | 1.24978i | 0.839361 | + | 0.543574i | \(0.182929\pi\) |
−0.708004 | + | 0.706209i | \(0.750404\pi\) | |||||||
\(194\) | 4.44280 | + | 3.22788i | 0.318974 | + | 0.231749i | ||||
\(195\) | −0.384574 | + | 3.65898i | −0.0275399 | + | 0.262025i | ||||
\(196\) | 5.51284 | − | 6.12263i | 0.393774 | − | 0.437331i | ||||
\(197\) | 20.3309 | + | 9.05189i | 1.44851 | + | 0.644920i | 0.972157 | − | 0.234331i | \(-0.0752900\pi\) |
0.476358 | + | 0.879252i | \(0.341957\pi\) | |||||||
\(198\) | −3.48089 | − | 0.739887i | −0.247376 | − | 0.0525815i | ||||
\(199\) | −9.42860 | + | 2.00411i | −0.668376 | + | 0.142068i | −0.529589 | − | 0.848255i | \(-0.677654\pi\) |
−0.138787 | + | 0.990322i | \(0.544320\pi\) | |||||||
\(200\) | 0.913545 | − | 0.406737i | 0.0645974 | − | 0.0287606i | ||||
\(201\) | 0.829314 | − | 2.55236i | 0.0584953 | − | 0.180030i | ||||
\(202\) | −4.86858 | + | 14.9840i | −0.342552 | + | 1.05427i | ||||
\(203\) | −3.27046 | + | 1.45610i | −0.229541 | + | 0.102198i | ||||
\(204\) | 0.341780 | − | 0.0726477i | 0.0239294 | − | 0.00508635i | ||||
\(205\) | 7.89047 | + | 1.67717i | 0.551094 | + | 0.117139i | ||||
\(206\) | 11.6977 | + | 5.20817i | 0.815020 | + | 0.362870i | ||||
\(207\) | −1.05656 | + | 1.17343i | −0.0734361 | + | 0.0815591i | ||||
\(208\) | −0.384574 | + | 3.65898i | −0.0266654 | + | 0.253705i | ||||
\(209\) | −7.84436 | − | 5.69926i | −0.542606 | − | 0.394226i | ||||
\(210\) | 0.408047 | + | 3.88231i | 0.0281579 | + | 0.267905i | ||||
\(211\) | −6.40630 | + | 11.0960i | −0.441028 | + | 0.763883i | −0.997766 | − | 0.0668051i | \(-0.978719\pi\) |
0.556738 | + | 0.830688i | \(0.312053\pi\) | |||||||
\(212\) | −0.699684 | − | 1.21189i | −0.0480545 | − | 0.0832328i | ||||
\(213\) | 5.77967 | − | 4.19918i | 0.396016 | − | 0.287723i | ||||
\(214\) | 4.64351 | + | 5.15714i | 0.317424 | + | 0.352535i | ||||
\(215\) | 2.98296 | + | 9.18060i | 0.203436 | + | 0.626112i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 13.4275 | + | 17.0911i | 0.911520 | + | 1.16022i | ||||
\(218\) | 16.1324 | 1.09262 | ||||||||
\(219\) | 0.0982064 | + | 0.302248i | 0.00663617 | + | 0.0204240i | ||||
\(220\) | 2.38121 | + | 2.64460i | 0.160541 | + | 0.178299i | ||||
\(221\) | 1.04003 | − | 0.755626i | 0.0699600 | − | 0.0508289i | ||||
\(222\) | −3.13932 | − | 5.43747i | −0.210698 | − | 0.364939i | ||||
\(223\) | 0.279126 | − | 0.483460i | 0.0186916 | − | 0.0323749i | −0.856528 | − | 0.516100i | \(-0.827383\pi\) |
0.875220 | + | 0.483725i | \(0.160717\pi\) | |||||||
\(224\) | 0.408047 | + | 3.88231i | 0.0272638 | + | 0.259398i | ||||
\(225\) | −0.809017 | − | 0.587785i | −0.0539345 | − | 0.0391857i | ||||
\(226\) | 0.0142593 | − | 0.135669i | 0.000948517 | − | 0.00902454i | ||||
\(227\) | −3.21688 | + | 3.57271i | −0.213512 | + | 0.237129i | −0.840382 | − | 0.541995i | \(-0.817669\pi\) |
0.626870 | + | 0.779124i | \(0.284336\pi\) | |||||||
\(228\) | 2.48911 | + | 1.10822i | 0.164845 | + | 0.0733938i | ||||
\(229\) | −15.2539 | − | 3.24232i | −1.00801 | − | 0.214258i | −0.325816 | − | 0.945433i | \(-0.605639\pi\) |
−0.682190 | + | 0.731175i | \(0.738972\pi\) | |||||||
\(230\) | 1.54450 | − | 0.328294i | 0.101841 | − | 0.0216471i | ||||
\(231\) | −12.6909 | + | 5.65035i | −0.834999 | + | 0.371766i | ||||
\(232\) | 0.283390 | − | 0.872186i | 0.0186055 | − | 0.0572618i | ||||
\(233\) | 8.67929 | − | 26.7121i | 0.568599 | − | 1.74997i | −0.0884072 | − | 0.996084i | \(-0.528178\pi\) |
0.657007 | − | 0.753885i | \(-0.271822\pi\) | |||||||
\(234\) | 3.36106 | − | 1.49644i | 0.219719 | − | 0.0978252i | ||||
\(235\) | 4.12695 | − | 0.877210i | 0.269212 | − | 0.0572229i | ||||
\(236\) | −9.01081 | − | 1.91531i | −0.586554 | − | 0.124676i | ||||
\(237\) | 14.9461 | + | 6.65444i | 0.970854 | + | 0.432252i | ||||
\(238\) | 0.912702 | − | 1.01366i | 0.0591617 | − | 0.0657057i | ||||
\(239\) | 2.88524 | − | 27.4513i | 0.186631 | − | 1.77567i | −0.354812 | − | 0.934938i | \(-0.615455\pi\) |
0.541443 | − | 0.840737i | \(-0.317878\pi\) | |||||||
\(240\) | −0.809017 | − | 0.587785i | −0.0522218 | − | 0.0379414i | ||||
\(241\) | −1.70191 | − | 16.1926i | −0.109630 | − | 1.04306i | −0.901621 | − | 0.432527i | \(-0.857622\pi\) |
0.791991 | − | 0.610532i | \(-0.209045\pi\) | |||||||
\(242\) | −0.832029 | + | 1.44112i | −0.0534848 | + | 0.0926385i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −3.69222 | + | 2.68256i | −0.236370 | + | 0.171733i | ||||
\(245\) | 5.51284 | + | 6.12263i | 0.352202 | + | 0.391160i | ||||
\(246\) | −2.49276 | − | 7.67193i | −0.158933 | − | 0.489144i | ||||
\(247\) | 10.0244 | 0.637838 | ||||||||
\(248\) | −5.55523 | − | 0.373377i | −0.352758 | − | 0.0237095i | ||||
\(249\) | −9.74181 | −0.617362 | ||||||||
\(250\) | 0.309017 | + | 0.951057i | 0.0195440 | + | 0.0601501i | ||||
\(251\) | 16.2387 | + | 18.0349i | 1.02498 | + | 1.13836i | 0.990298 | + | 0.138957i | \(0.0443749\pi\) |
0.0346812 | + | 0.999398i | \(0.488958\pi\) | |||||||
\(252\) | 3.15815 | − | 2.29453i | 0.198945 | − | 0.144542i | ||||
\(253\) | 2.80957 | + | 4.86632i | 0.176636 | + | 0.305943i | ||||
\(254\) | 0.255289 | − | 0.442173i | 0.0160182 | − | 0.0277444i | ||||
\(255\) | 0.0365239 | + | 0.347502i | 0.00228722 | + | 0.0217614i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 0.0172527 | − | 0.164149i | 0.00107620 | − | 0.0102393i | −0.993971 | − | 0.109647i | \(-0.965028\pi\) |
0.995047 | + | 0.0994074i | \(0.0316947\pi\) | |||||||
\(258\) | 6.45915 | − | 7.17362i | 0.402129 | − | 0.446610i | ||||
\(259\) | −22.3909 | − | 9.96908i | −1.39130 | − | 0.619448i | ||||
\(260\) | −3.59874 | − | 0.764935i | −0.223184 | − | 0.0474392i | ||||
\(261\) | −0.897031 | + | 0.190670i | −0.0555248 | + | 0.0118022i | ||||
\(262\) | −17.5755 | + | 7.82513i | −1.08582 | + | 0.483438i | ||||
\(263\) | −6.00127 | + | 18.4700i | −0.370054 | + | 1.13891i | 0.576701 | + | 0.816955i | \(0.304340\pi\) |
−0.946755 | + | 0.321954i | \(0.895660\pi\) | |||||||
\(264\) | 1.09969 | − | 3.38449i | 0.0676810 | − | 0.208301i | ||||
\(265\) | 1.27839 | − | 0.569174i | 0.0785307 | − | 0.0349641i | ||||
\(266\) | 10.4038 | − | 2.21140i | 0.637900 | − | 0.135590i | ||||
\(267\) | 5.53956 | + | 1.17747i | 0.339016 | + | 0.0720600i | ||||
\(268\) | 2.45170 | + | 1.09157i | 0.149761 | + | 0.0666780i | ||||
\(269\) | 7.12792 | − | 7.91635i | 0.434597 | − | 0.482669i | −0.485569 | − | 0.874199i | \(-0.661387\pi\) |
0.920165 | + | 0.391530i | \(0.128054\pi\) | |||||||
\(270\) | −0.104528 | + | 0.994522i | −0.00636140 | + | 0.0605247i | ||||
\(271\) | −20.7782 | − | 15.0962i | −1.26219 | − | 0.917031i | −0.263322 | − | 0.964708i | \(-0.584818\pi\) |
−0.998863 | + | 0.0476768i | \(0.984818\pi\) | |||||||
\(272\) | 0.0365239 | + | 0.347502i | 0.00221459 | + | 0.0210704i | ||||
\(273\) | 7.18110 | − | 12.4380i | 0.434620 | − | 0.752784i | ||||
\(274\) | 4.01716 | + | 6.95793i | 0.242686 | + | 0.420344i | ||||
\(275\) | −2.87902 | + | 2.09173i | −0.173611 | + | 0.126136i | ||||
\(276\) | −1.05656 | − | 1.17343i | −0.0635975 | − | 0.0706322i | ||||
\(277\) | −2.17831 | − | 6.70414i | −0.130882 | − | 0.402813i | 0.864045 | − | 0.503415i | \(-0.167923\pi\) |
−0.994927 | + | 0.100602i | \(0.967923\pi\) | |||||||
\(278\) | −10.5140 | −0.630587 | ||||||||
\(279\) | 2.45426 | + | 4.99766i | 0.146933 | + | 0.299202i | ||||
\(280\) | −3.90369 | −0.233290 | ||||||||
\(281\) | −1.42437 | − | 4.38376i | −0.0849707 | − | 0.261513i | 0.899540 | − | 0.436839i | \(-0.143902\pi\) |
−0.984510 | + | 0.175326i | \(0.943902\pi\) | |||||||
\(282\) | −2.82316 | − | 3.13544i | −0.168117 | − | 0.186713i | ||||
\(283\) | −3.04438 | + | 2.21187i | −0.180970 | + | 0.131482i | −0.674582 | − | 0.738200i | \(-0.735676\pi\) |
0.493612 | + | 0.869682i | \(0.335676\pi\) | |||||||
\(284\) | 3.57203 | + | 6.18694i | 0.211961 | + | 0.367127i | ||||
\(285\) | −1.36233 | + | 2.35963i | −0.0806976 | + | 0.139772i | ||||
\(286\) | −1.36857 | − | 13.0211i | −0.0809251 | − | 0.769951i | ||||
\(287\) | −25.4760 | − | 18.5094i | −1.50380 | − | 1.09258i | ||||
\(288\) | −0.104528 | + | 0.994522i | −0.00615940 | + | 0.0586028i | ||||
\(289\) | −11.2935 | + | 12.5427i | −0.664325 | + | 0.737808i | ||||
\(290\) | 0.837786 | + | 0.373006i | 0.0491965 | + | 0.0219037i | ||||
\(291\) | 5.37160 | + | 1.14177i | 0.314889 | + | 0.0669317i | ||||
\(292\) | −0.310858 | + | 0.0660748i | −0.0181916 | + | 0.00386674i | ||||
\(293\) | −8.77662 | + | 3.90760i | −0.512735 | + | 0.228284i | −0.646760 | − | 0.762693i | \(-0.723877\pi\) |
0.134025 | + | 0.990978i | \(0.457210\pi\) | |||||||
\(294\) | 2.54593 | − | 7.83557i | 0.148482 | − | 0.456980i | ||||
\(295\) | 2.84670 | − | 8.76125i | 0.165741 | − | 0.510100i | ||||
\(296\) | 5.73583 | − | 2.55376i | 0.333388 | − | 0.148434i | ||||
\(297\) | −3.48089 | + | 0.739887i | −0.201982 | + | 0.0429326i | ||||
\(298\) | 7.78175 | + | 1.65406i | 0.450785 | + | 0.0958172i | ||||
\(299\) | −5.30713 | − | 2.36289i | −0.306919 | − | 0.136649i | ||||
\(300\) | 0.669131 | − | 0.743145i | 0.0386323 | − | 0.0429055i | ||||
\(301\) | 3.93890 | − | 37.4761i | 0.227034 | − | 2.16009i | ||||
\(302\) | 9.54629 | + | 6.93578i | 0.549327 | + | 0.399110i | ||||
\(303\) | 1.64685 | + | 15.6687i | 0.0946092 | + | 0.900146i | ||||
\(304\) | −1.36233 | + | 2.35963i | −0.0781352 | + | 0.135334i | ||||
\(305\) | −2.28192 | − | 3.95240i | −0.130662 | − | 0.226314i | ||||
\(306\) | 0.282684 | − | 0.205382i | 0.0161599 | − | 0.0117409i | ||||
\(307\) | 16.5789 | + | 18.4127i | 0.946208 | + | 1.05087i | 0.998634 | + | 0.0522454i | \(0.0166378\pi\) |
−0.0524265 | + | 0.998625i | \(0.516696\pi\) | |||||||
\(308\) | −4.29284 | − | 13.2120i | −0.244607 | − | 0.752823i | ||||
\(309\) | 12.8048 | 0.728438 | ||||||||
\(310\) | 0.952012 | − | 5.48577i | 0.0540706 | − | 0.311571i | ||||
\(311\) | 18.1428 | 1.02879 | 0.514393 | − | 0.857555i | \(-0.328017\pi\) | ||||
0.514393 | + | 0.857555i | \(0.328017\pi\) | |||||||
\(312\) | 1.13691 | + | 3.49906i | 0.0643651 | + | 0.198095i | ||||
\(313\) | 7.23936 | + | 8.04012i | 0.409193 | + | 0.454454i | 0.912150 | − | 0.409857i | \(-0.134421\pi\) |
−0.502957 | + | 0.864311i | \(0.667755\pi\) | |||||||
\(314\) | −19.1314 | + | 13.8997i | −1.07965 | + | 0.784408i | ||||
\(315\) | 1.95185 | + | 3.38070i | 0.109974 | + | 0.190481i | ||||
\(316\) | −8.18028 | + | 14.1687i | −0.460177 | + | 0.797049i | ||||
\(317\) | −2.46052 | − | 23.4103i | −0.138197 | − | 1.31485i | −0.815332 | − | 0.578994i | \(-0.803445\pi\) |
0.677135 | − | 0.735859i | \(-0.263221\pi\) | |||||||
\(318\) | −1.13211 | − | 0.822528i | −0.0634857 | − | 0.0461251i | ||||
\(319\) | −0.341133 | + | 3.24566i | −0.0190998 | + | 0.181722i | ||||
\(320\) | 0.669131 | − | 0.743145i | 0.0374055 | − | 0.0415431i | ||||
\(321\) | 6.33965 | + | 2.82259i | 0.353845 | + | 0.157542i | ||||
\(322\) | −6.02926 | − | 1.28156i | −0.335997 | − | 0.0714184i | ||||
\(323\) | 0.931238 | − | 0.197941i | 0.0518154 | − | 0.0110137i | ||||
\(324\) | 0.913545 | − | 0.406737i | 0.0507525 | − | 0.0225965i | ||||
\(325\) | 1.13691 | − | 3.49906i | 0.0630647 | − | 0.194093i | ||||
\(326\) | 2.96545 | − | 9.12670i | 0.164241 | − | 0.505481i | ||||
\(327\) | 14.7377 | − | 6.56163i | 0.814994 | − | 0.362859i | ||||
\(328\) | 7.89047 | − | 1.67717i | 0.435678 | − | 0.0926063i | ||||
\(329\) | −16.1103 | − | 3.42436i | −0.888191 | − | 0.188791i | ||||
\(330\) | 3.25100 | + | 1.44744i | 0.178962 | + | 0.0796788i | ||||
\(331\) | 5.68955 | − | 6.31888i | 0.312726 | − | 0.347317i | −0.566207 | − | 0.824263i | \(-0.691590\pi\) |
0.878933 | + | 0.476946i | \(0.158256\pi\) | |||||||
\(332\) | 1.01830 | − | 9.68845i | 0.0558863 | − | 0.531723i | ||||
\(333\) | −5.07953 | − | 3.69050i | −0.278357 | − | 0.202238i | ||||
\(334\) | 2.02586 | + | 19.2747i | 0.110850 | + | 1.05467i | ||||
\(335\) | −1.34186 | + | 2.32417i | −0.0733135 | + | 0.126983i | ||||
\(336\) | 1.95185 | + | 3.38070i | 0.106482 | + | 0.184432i | ||||
\(337\) | 9.13874 | − | 6.63969i | 0.497819 | − | 0.361687i | −0.310364 | − | 0.950618i | \(-0.600451\pi\) |
0.808183 | + | 0.588931i | \(0.200451\pi\) | |||||||
\(338\) | 0.358668 | + | 0.398341i | 0.0195090 | + | 0.0216669i | ||||
\(339\) | −0.0421548 | − | 0.129739i | −0.00228953 | − | 0.00704646i | ||||
\(340\) | −0.349416 | −0.0189497 | ||||||||
\(341\) | 19.6134 | − | 2.81056i | 1.06213 | − | 0.152200i | ||||
\(342\) | 2.72467 | 0.147333 | ||||||||
\(343\) | −1.49438 | − | 4.59924i | −0.0806891 | − | 0.248336i | ||||
\(344\) | 6.45915 | + | 7.17362i | 0.348254 | + | 0.386775i | ||||
\(345\) | 1.27744 | − | 0.928117i | 0.0687752 | − | 0.0499681i | ||||
\(346\) | 2.34539 | + | 4.06233i | 0.126089 | + | 0.218392i | ||||
\(347\) | −4.29383 | + | 7.43714i | −0.230505 | + | 0.399246i | −0.957957 | − | 0.286912i | \(-0.907371\pi\) |
0.727452 | + | 0.686159i | \(0.240704\pi\) | |||||||
\(348\) | −0.0958600 | − | 0.912047i | −0.00513864 | − | 0.0488909i | ||||
\(349\) | 15.7185 | + | 11.4201i | 0.841390 | + | 0.611306i | 0.922759 | − | 0.385378i | \(-0.125929\pi\) |
−0.0813685 | + | 0.996684i | \(0.525929\pi\) | |||||||
\(350\) | 0.408047 | − | 3.88231i | 0.0218110 | − | 0.207518i | ||||
\(351\) | 2.46182 | − | 2.73413i | 0.131402 | − | 0.145937i | ||||
\(352\) | 3.25100 | + | 1.44744i | 0.173279 | + | 0.0771487i | ||||
\(353\) | 0.749837 | + | 0.159383i | 0.0399098 | + | 0.00848309i | 0.227823 | − | 0.973702i | \(-0.426839\pi\) |
−0.187914 | + | 0.982186i | \(0.560172\pi\) | |||||||
\(354\) | −9.01081 | + | 1.91531i | −0.478919 | + | 0.101797i | ||||
\(355\) | −6.52643 | + | 2.90575i | −0.346387 | + | 0.154221i | ||||
\(356\) | −1.75006 | + | 5.38613i | −0.0927530 | + | 0.285465i | ||||
\(357\) | 0.421503 | − | 1.29725i | 0.0223083 | − | 0.0686579i | ||||
\(358\) | 12.6349 | − | 5.62541i | 0.667774 | − | 0.297312i | ||||
\(359\) | −9.32021 | + | 1.98107i | −0.491902 | + | 0.104557i | −0.447183 | − | 0.894443i | \(-0.647573\pi\) |
−0.0447191 | + | 0.999000i | \(0.514239\pi\) | |||||||
\(360\) | −0.978148 | − | 0.207912i | −0.0515529 | − | 0.0109579i | ||||
\(361\) | −10.5754 | − | 4.70846i | −0.556599 | − | 0.247814i | ||||
\(362\) | 2.52254 | − | 2.80157i | 0.132582 | − | 0.147247i | ||||
\(363\) | −0.173941 | + | 1.65494i | −0.00912956 | + | 0.0868619i | ||||
\(364\) | 11.6193 | + | 8.44189i | 0.609015 | + | 0.442475i | ||||
\(365\) | −0.0332194 | − | 0.316062i | −0.00173878 | − | 0.0165434i | ||||
\(366\) | −2.28192 | + | 3.95240i | −0.119278 | + | 0.206595i | ||||
\(367\) | −9.71602 | − | 16.8286i | −0.507172 | − | 0.878448i | −0.999966 | − | 0.00830184i | \(-0.997357\pi\) |
0.492793 | − | 0.870146i | \(-0.335976\pi\) | |||||||
\(368\) | 1.27744 | − | 0.928117i | 0.0665913 | − | 0.0483814i | ||||
\(369\) | −5.39771 | − | 5.99476i | −0.280993 | − | 0.312075i | ||||
\(370\) | 1.94021 | + | 5.97135i | 0.100867 | + | 0.310436i | ||||
\(371\) | −5.46270 | −0.283609 | ||||||||
\(372\) | −5.22682 | + | 1.91842i | −0.270998 | + | 0.0994654i | ||||
\(373\) | 24.3384 | 1.26019 | 0.630096 | − | 0.776517i | \(-0.283015\pi\) | ||||
0.630096 | + | 0.776517i | \(0.283015\pi\) | |||||||
\(374\) | −0.384248 | − | 1.18259i | −0.0198690 | − | 0.0611505i | ||||
\(375\) | 0.669131 | + | 0.743145i | 0.0345538 | + | 0.0383758i | ||||
\(376\) | 3.41336 | − | 2.47995i | 0.176031 | − | 0.127894i | ||||
\(377\) | −1.68701 | − | 2.92199i | −0.0868856 | − | 0.150490i | ||||
\(378\) | 1.95185 | − | 3.38070i | 0.100392 | − | 0.173884i | ||||
\(379\) | −1.58640 | − | 15.0936i | −0.0814879 | − | 0.775305i | −0.956604 | − | 0.291392i | \(-0.905882\pi\) |
0.875116 | − | 0.483913i | \(-0.160785\pi\) | |||||||
\(380\) | −2.20430 | − | 1.60152i | −0.113078 | − | 0.0821562i | ||||
\(381\) | 0.0533699 | − | 0.507780i | 0.00273422 | − | 0.0260144i | ||||
\(382\) | −5.76689 | + | 6.40478i | −0.295060 | + | 0.327697i | ||||
\(383\) | −10.3658 | − | 4.61517i | −0.529670 | − | 0.235824i | 0.124436 | − | 0.992228i | \(-0.460288\pi\) |
−0.654105 | + | 0.756404i | \(0.726955\pi\) | |||||||
\(384\) | −0.978148 | − | 0.207912i | −0.0499159 | − | 0.0106099i | ||||
\(385\) | 13.5883 | − | 2.88829i | 0.692526 | − | 0.147201i | ||||
\(386\) | −15.9488 | + | 7.10088i | −0.811775 | + | 0.361425i | ||||
\(387\) | 2.98296 | − | 9.18060i | 0.151632 | − | 0.466676i | ||||
\(388\) | −1.69700 | + | 5.22283i | −0.0861521 | + | 0.265149i | ||||
\(389\) | 7.14275 | − | 3.18016i | 0.362152 | − | 0.161240i | −0.217591 | − | 0.976040i | \(-0.569820\pi\) |
0.579743 | + | 0.814800i | \(0.303153\pi\) | |||||||
\(390\) | −3.59874 | + | 0.764935i | −0.182229 | + | 0.0387340i | ||||
\(391\) | −0.539674 | − | 0.114711i | −0.0272925 | − | 0.00580119i | ||||
\(392\) | 7.52653 | + | 3.35103i | 0.380147 | + | 0.169252i | ||||
\(393\) | −12.8733 | + | 14.2972i | −0.649371 | + | 0.721200i | ||||
\(394\) | −2.32627 | + | 22.1330i | −0.117196 | + | 1.11504i | ||||
\(395\) | −13.2360 | − | 9.61649i | −0.665974 | − | 0.483858i | ||||
\(396\) | −0.371981 | − | 3.53916i | −0.0186928 | − | 0.177850i | ||||
\(397\) | −15.2487 | + | 26.4115i | −0.765309 | + | 1.32555i | 0.174774 | + | 0.984609i | \(0.444081\pi\) |
−0.940083 | + | 0.340946i | \(0.889253\pi\) | |||||||
\(398\) | −4.81962 | − | 8.34783i | −0.241586 | − | 0.418439i | ||||
\(399\) | 8.60491 | − | 6.25183i | 0.430784 | − | 0.312983i | ||||
\(400\) | 0.669131 | + | 0.743145i | 0.0334565 | + | 0.0371572i | ||||
\(401\) | 3.56308 | + | 10.9660i | 0.177932 | + | 0.547617i | 0.999755 | − | 0.0221248i | \(-0.00704312\pi\) |
−0.821824 | + | 0.569742i | \(0.807043\pi\) | |||||||
\(402\) | 2.68372 | 0.133852 | ||||||||
\(403\) | −14.6968 | + | 14.2695i | −0.732102 | + | 0.710816i | ||||
\(404\) | −15.7551 | −0.783843 | ||||||||
\(405\) | 0.309017 | + | 0.951057i | 0.0153552 | + | 0.0472584i | ||||
\(406\) | −2.39546 | − | 2.66043i | −0.118885 | − | 0.132035i | ||||
\(407\) | −18.0763 | + | 13.1332i | −0.896010 | + | 0.650990i | ||||
\(408\) | 0.174708 | + | 0.302603i | 0.00864934 | + | 0.0149811i | ||||
\(409\) | −1.36192 | + | 2.35891i | −0.0673426 | + | 0.116641i | −0.897731 | − | 0.440545i | \(-0.854785\pi\) |
0.830388 | + | 0.557185i | \(0.188119\pi\) | |||||||
\(410\) | 0.843205 | + | 8.02256i | 0.0416429 | + | 0.396206i | ||||
\(411\) | 6.49991 | + | 4.72246i | 0.320617 | + | 0.232942i | ||||
\(412\) | −1.33846 | + | 12.7346i | −0.0659414 | + | 0.627390i | ||||
\(413\) | −24.0628 | + | 26.7244i | −1.18405 | + | 1.31502i | ||||
\(414\) | −1.44249 | − | 0.642240i | −0.0708947 | − | 0.0315644i | ||||
\(415\) | 9.52893 | + | 2.02544i | 0.467757 | + | 0.0994248i | ||||
\(416\) | −3.59874 | + | 0.764935i | −0.176443 | + | 0.0375040i | ||||
\(417\) | −9.60501 | + | 4.27643i | −0.470359 | + | 0.209418i | ||||
\(418\) | 2.99628 | − | 9.22160i | 0.146553 | − | 0.451043i | ||||
\(419\) | 10.7131 | − | 32.9717i | 0.523372 | − | 1.61077i | −0.244142 | − | 0.969739i | \(-0.578506\pi\) |
0.767514 | − | 0.641032i | \(-0.221494\pi\) | |||||||
\(420\) | −3.56620 | + | 1.58777i | −0.174013 | + | 0.0774755i | ||||
\(421\) | −27.1368 | + | 5.76810i | −1.32257 | + | 0.281120i | −0.814483 | − | 0.580187i | \(-0.802979\pi\) |
−0.508084 | + | 0.861308i | \(0.669646\pi\) | |||||||
\(422\) | −12.5326 | − | 2.66389i | −0.610078 | − | 0.129676i | ||||
\(423\) | −3.85438 | − | 1.71608i | −0.187406 | − | 0.0834387i | ||||
\(424\) | 0.936360 | − | 1.03993i | 0.0454737 | − | 0.0505036i | ||||
\(425\) | 0.0365239 | − | 0.347502i | 0.00177167 | − | 0.0168563i | ||||
\(426\) | 5.77967 | + | 4.19918i | 0.280026 | + | 0.203451i | ||||
\(427\) | 1.86226 | + | 17.7182i | 0.0901211 | + | 0.857445i | ||||
\(428\) | −3.46981 | + | 6.00988i | −0.167719 | + | 0.290498i | ||||
\(429\) | −6.54639 | − | 11.3387i | −0.316063 | − | 0.547437i | ||||
\(430\) | −7.80948 | + | 5.67392i | −0.376607 | + | 0.273621i | ||||
\(431\) | −11.6371 | − | 12.9243i | −0.560539 | − | 0.622542i | 0.394545 | − | 0.918877i | \(-0.370902\pi\) |
−0.955084 | + | 0.296335i | \(0.904236\pi\) | |||||||
\(432\) | 0.309017 | + | 0.951057i | 0.0148676 | + | 0.0457577i | ||||
\(433\) | 5.44967 | 0.261895 | 0.130947 | − | 0.991389i | \(-0.458198\pi\) | ||||
0.130947 | + | 0.991389i | \(0.458198\pi\) | |||||||
\(434\) | −12.1052 | + | 18.0518i | −0.581070 | + | 0.866513i | ||||
\(435\) | 0.917071 | 0.0439702 | ||||||||
\(436\) | 4.98518 | + | 15.3428i | 0.238747 | + | 0.734787i | ||||
\(437\) | −2.87878 | − | 3.19721i | −0.137711 | − | 0.152943i | ||||
\(438\) | −0.257108 | + | 0.186800i | −0.0122851 | + | 0.00892563i | ||||
\(439\) | −7.88467 | − | 13.6567i | −0.376315 | − | 0.651796i | 0.614208 | − | 0.789144i | \(-0.289476\pi\) |
−0.990523 | + | 0.137348i | \(0.956142\pi\) | |||||||
\(440\) | −1.77933 | + | 3.08189i | −0.0848262 | + | 0.146923i | ||||
\(441\) | −0.861190 | − | 8.19368i | −0.0410090 | − | 0.390175i | ||||
\(442\) | 1.04003 | + | 0.755626i | 0.0494692 | + | 0.0359415i | ||||
\(443\) | −1.61396 | + | 15.3558i | −0.0766816 | + | 0.729577i | 0.886864 | + | 0.462031i | \(0.152879\pi\) |
−0.963545 | + | 0.267545i | \(0.913787\pi\) | |||||||
\(444\) | 4.20124 | − | 4.66594i | 0.199382 | − | 0.221436i | ||||
\(445\) | −5.17370 | − | 2.30348i | −0.245257 | − | 0.109195i | ||||
\(446\) | 0.546052 | + | 0.116067i | 0.0258563 | + | 0.00549593i | ||||
\(447\) | 7.78175 | − | 1.65406i | 0.368064 | − | 0.0782344i | ||||
\(448\) | −3.56620 | + | 1.58777i | −0.168487 | + | 0.0750153i | ||||
\(449\) | −7.38907 | + | 22.7412i | −0.348712 | + | 1.07322i | 0.610855 | + | 0.791742i | \(0.290826\pi\) |
−0.959567 | + | 0.281481i | \(0.909174\pi\) | |||||||
\(450\) | 0.309017 | − | 0.951057i | 0.0145672 | − | 0.0448332i | ||||
\(451\) | −26.2250 | + | 11.6761i | −1.23489 | + | 0.549806i | ||||
\(452\) | 0.133435 | − | 0.0283624i | 0.00627625 | − | 0.00133406i | ||||
\(453\) | 11.5420 | + | 2.45333i | 0.542291 | + | 0.115267i | ||||
\(454\) | −4.39192 | − | 1.95541i | −0.206123 | − | 0.0917719i | ||||
\(455\) | −9.61019 | + | 10.6732i | −0.450533 | + | 0.500367i | ||||
\(456\) | −0.284805 | + | 2.70974i | −0.0133372 | + | 0.126895i | ||||
\(457\) | 12.5333 | + | 9.10598i | 0.586283 | + | 0.425960i | 0.840984 | − | 0.541060i | \(-0.181977\pi\) |
−0.254701 | + | 0.967020i | \(0.581977\pi\) | |||||||
\(458\) | −1.63009 | − | 15.5093i | −0.0761691 | − | 0.724700i | ||||
\(459\) | 0.174708 | − | 0.302603i | 0.00815467 | − | 0.0141243i | ||||
\(460\) | 0.789503 | + | 1.36746i | 0.0368108 | + | 0.0637581i | ||||
\(461\) | −29.9609 | + | 21.7679i | −1.39542 | + | 1.01383i | −0.400174 | + | 0.916439i | \(0.631050\pi\) |
−0.995246 | + | 0.0973925i | \(0.968950\pi\) | |||||||
\(462\) | −9.29550 | − | 10.3237i | −0.432466 | − | 0.480302i | ||||
\(463\) | −11.8366 | − | 36.4294i | −0.550094 | − | 1.69302i | −0.708559 | − | 0.705651i | \(-0.750655\pi\) |
0.158465 | − | 0.987365i | \(-0.449345\pi\) | |||||||
\(464\) | 0.917071 | 0.0425739 | ||||||||
\(465\) | −1.36156 | − | 5.39872i | −0.0631407 | − | 0.250360i | ||||
\(466\) | 28.0868 | 1.30110 | ||||||||
\(467\) | −3.26146 | − | 10.0377i | −0.150922 | − | 0.464491i | 0.846803 | − | 0.531907i | \(-0.178525\pi\) |
−0.997725 | + | 0.0674160i | \(0.978525\pi\) | |||||||
\(468\) | 2.46182 | + | 2.73413i | 0.113798 | + | 0.126385i | ||||
\(469\) | 8.47558 | − | 6.15787i | 0.391366 | − | 0.284344i | ||||
\(470\) | 2.10957 | + | 3.65389i | 0.0973074 | + | 0.168541i | ||||
\(471\) | −11.8238 | + | 20.4795i | −0.544813 | + | 0.943644i | ||||
\(472\) | −0.962929 | − | 9.16166i | −0.0443224 | − | 0.421699i | ||||
\(473\) | −27.7913 | − | 20.1916i | −1.27784 | − | 0.928409i | ||||
\(474\) | −1.71014 | + | 16.2709i | −0.0785495 | + | 0.747349i | ||||
\(475\) | 1.82316 | − | 2.02482i | 0.0836522 | − | 0.0929052i | ||||
\(476\) | 1.24609 | + | 0.554794i | 0.0571143 | + | 0.0254289i | ||||
\(477\) | −1.36879 | − | 0.290945i | −0.0626725 | − | 0.0133215i | ||||
\(478\) | 26.9993 | − | 5.73888i | 1.23492 | − | 0.262490i | ||||
\(479\) | −7.92955 | + | 3.53046i | −0.362310 | + | 0.161311i | −0.579815 | − | 0.814748i | \(-0.696875\pi\) |
0.217504 | + | 0.976059i | \(0.430208\pi\) | |||||||
\(480\) | 0.309017 | − | 0.951057i | 0.0141046 | − | 0.0434096i | ||||
\(481\) | 7.13829 | − | 21.9694i | 0.325478 | − | 1.00172i | ||||
\(482\) | 14.8742 | − | 6.62241i | 0.677501 | − | 0.301643i | ||||
\(483\) | −6.02926 | + | 1.28156i | −0.274341 | + | 0.0583129i | ||||
\(484\) | −1.62769 | − | 0.345977i | −0.0739861 | − | 0.0157262i | ||||
\(485\) | −5.01683 | − | 2.23364i | −0.227802 | − | 0.101424i | ||||
\(486\) | 0.669131 | − | 0.743145i | 0.0303524 | − | 0.0337097i | ||||
\(487\) | 2.43700 | − | 23.1865i | 0.110431 | − | 1.05068i | −0.789231 | − | 0.614096i | \(-0.789521\pi\) |
0.899663 | − | 0.436586i | \(-0.143813\pi\) | |||||||
\(488\) | −3.69222 | − | 2.68256i | −0.167139 | − | 0.121434i | ||||
\(489\) | −1.00310 | − | 9.54381i | −0.0453615 | − | 0.431586i | ||||
\(490\) | −4.11940 | + | 7.13502i | −0.186096 | + | 0.322327i | ||||
\(491\) | 8.58789 | + | 14.8747i | 0.387566 | + | 0.671284i | 0.992122 | − | 0.125279i | \(-0.0399825\pi\) |
−0.604555 | + | 0.796563i | \(0.706649\pi\) | |||||||
\(492\) | 6.52613 | − | 4.74151i | 0.294221 | − | 0.213764i | ||||
\(493\) | −0.214416 | − | 0.238133i | −0.00965680 | − | 0.0107250i | ||||
\(494\) | 3.09771 | + | 9.53378i | 0.139373 | + | 0.428945i | ||||
\(495\) | 3.55866 | 0.159950 | ||||||||
\(496\) | −1.36156 | − | 5.39872i | −0.0611357 | − | 0.242410i | ||||
\(497\) | 27.8882 | 1.25096 | ||||||||
\(498\) | −3.01039 | − | 9.26502i | −0.134899 | − | 0.415175i | ||||
\(499\) | −22.3261 | − | 24.7957i | −0.999455 | − | 1.11001i | −0.993929 | − | 0.110022i | \(-0.964908\pi\) |
−0.00552560 | − | 0.999985i | \(-0.501759\pi\) | |||||||
\(500\) | −0.809017 | + | 0.587785i | −0.0361803 | + | 0.0262866i | ||||
\(501\) | 9.69045 | + | 16.7843i | 0.432937 | + | 0.749869i | ||||
\(502\) | −12.1342 | + | 21.0171i | −0.541576 | + | 0.938037i | ||||
\(503\) | 0.218679 | + | 2.08059i | 0.00975042 | + | 0.0927690i | 0.998315 | − | 0.0580302i | \(-0.0184820\pi\) |
−0.988564 | + | 0.150799i | \(0.951815\pi\) | |||||||
\(504\) | 3.15815 | + | 2.29453i | 0.140675 | + | 0.102207i | ||||
\(505\) | 1.64685 | − | 15.6687i | 0.0732839 | − | 0.697250i | ||||
\(506\) | −3.75994 | + | 4.17584i | −0.167150 | + | 0.185639i | ||||
\(507\) | 0.489680 | + | 0.218019i | 0.0217474 | + | 0.00968259i | ||||
\(508\) | 0.499420 | + | 0.106155i | 0.0221582 | + | 0.00470987i | ||||
\(509\) | 31.6609 | − | 6.72974i | 1.40335 | − | 0.298290i | 0.556818 | − | 0.830634i | \(-0.312022\pi\) |
0.846528 | + | 0.532344i | \(0.178689\pi\) | |||||||
\(510\) | −0.319207 | + | 0.142120i | −0.0141347 | + | 0.00629319i | ||||
\(511\) | −0.383367 | + | 1.17988i | −0.0169592 | + | 0.0521950i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 2.48911 | − | 1.10822i | 0.109897 | − | 0.0489292i | ||||
\(514\) | 0.161446 | − | 0.0343164i | 0.00712108 | − | 0.00151363i | ||||
\(515\) | −12.5250 | − | 2.66226i | −0.551916 | − | 0.117313i | ||||
\(516\) | 8.81850 | + | 3.92625i | 0.388213 | + | 0.172844i | ||||
\(517\) | −10.0467 | + | 11.1580i | −0.441852 | + | 0.490726i | ||||
\(518\) | 2.56198 | − | 24.3756i | 0.112567 | − | 1.07100i | ||||
\(519\) | 3.79492 | + | 2.75717i | 0.166578 | + | 0.121026i | ||||
\(520\) | −0.384574 | − | 3.65898i | −0.0168647 | − | 0.160457i | ||||
\(521\) | −0.966712 | + | 1.67439i | −0.0423524 | + | 0.0733566i | −0.886425 | − | 0.462873i | \(-0.846819\pi\) |
0.844072 | + | 0.536230i | \(0.180152\pi\) | |||||||
\(522\) | −0.458535 | − | 0.794207i | −0.0200695 | − | 0.0347615i | ||||
\(523\) | −14.1269 | + | 10.2638i | −0.617726 | + | 0.448804i | −0.852126 | − | 0.523336i | \(-0.824687\pi\) |
0.234401 | + | 0.972140i | \(0.424687\pi\) | |||||||
\(524\) | −12.8733 | − | 14.2972i | −0.562372 | − | 0.624577i | ||||
\(525\) | −1.20631 | − | 3.71263i | −0.0526476 | − | 0.162033i | ||||
\(526\) | −19.4205 | −0.846774 | ||||||||
\(527\) | −1.08353 | + | 1.61580i | −0.0471992 | + | 0.0703853i | ||||
\(528\) | 3.55866 | 0.154871 | ||||||||
\(529\) | −6.33693 | − | 19.5031i | −0.275519 | − | 0.847959i | ||||
\(530\) | 0.936360 | + | 1.03993i | 0.0406729 | + | 0.0451718i | ||||
\(531\) | −7.45276 | + | 5.41475i | −0.323422 | + | 0.234980i | ||||
\(532\) | 5.31813 | + | 9.21127i | 0.230570 | + | 0.399359i | ||||
\(533\) | 14.8393 | − | 25.7024i | 0.642762 | − | 1.11330i | ||||
\(534\) | 0.591978 | + | 5.63229i | 0.0256174 | + | 0.243733i | ||||
\(535\) | −5.61426 | − | 4.07900i | −0.242726 | − | 0.176351i | ||||
\(536\) | −0.280525 | + | 2.66901i | −0.0121168 | + | 0.115284i | ||||
\(537\) | 9.25448 | − | 10.2781i | 0.399360 | − | 0.443534i | ||||
\(538\) | 9.73155 | + | 4.33276i | 0.419557 | + | 0.186799i | ||||
\(539\) | −28.6784 | − | 6.09579i | −1.23527 | − | 0.262564i | ||||
\(540\) | −0.978148 | + | 0.207912i | −0.0420928 | + | 0.00894709i | ||||
\(541\) | −26.2770 | + | 11.6993i | −1.12973 | + | 0.502990i | −0.884531 | − | 0.466481i | \(-0.845521\pi\) |
−0.245203 | + | 0.969472i | \(0.578855\pi\) | |||||||
\(542\) | 7.93656 | − | 24.4262i | 0.340905 | − | 1.04920i | ||||
\(543\) | 1.16496 | − | 3.58537i | 0.0499931 | − | 0.153863i | ||||
\(544\) | −0.319207 | + | 0.142120i | −0.0136859 | + | 0.00609336i | ||||
\(545\) | −15.7798 | + | 3.35411i | −0.675934 | + | 0.143674i | ||||
\(546\) | 14.0484 | + | 2.98607i | 0.601214 | + | 0.127792i | ||||
\(547\) | −30.8809 | − | 13.7491i | −1.32037 | − | 0.587868i | −0.379051 | − | 0.925376i | \(-0.623749\pi\) |
−0.941323 | + | 0.337508i | \(0.890416\pi\) | |||||||
\(548\) | −5.37601 | + | 5.97067i | −0.229652 | + | 0.255054i | ||||
\(549\) | −0.477051 | + | 4.53884i | −0.0203600 | + | 0.193713i | ||||
\(550\) | −2.87902 | − | 2.09173i | −0.122762 | − | 0.0891916i | ||||
\(551\) | −0.261187 | − | 2.48502i | −0.0111269 | − | 0.105866i | ||||
\(552\) | 0.789503 | − | 1.36746i | 0.0336035 | − | 0.0582030i | ||||
\(553\) | 31.9333 | + | 55.3101i | 1.35794 | + | 2.35202i | ||||
\(554\) | 5.70288 | − | 4.14339i | 0.242292 | − | 0.176036i | ||||
\(555\) | 4.20124 | + | 4.66594i | 0.178333 | + | 0.198058i | ||||
\(556\) | −3.24900 | − | 9.99940i | −0.137788 | − | 0.424069i | ||||
\(557\) | −10.3854 | −0.440044 | −0.220022 | − | 0.975495i | \(-0.570613\pi\) | ||||
−0.220022 | + | 0.975495i | \(0.570613\pi\) | |||||||
\(558\) | −3.99465 | + | 3.87850i | −0.169107 | + | 0.164190i | ||||
\(559\) | 35.5149 | 1.50212 | ||||||||
\(560\) | −1.20631 | − | 3.71263i | −0.0509758 | − | 0.156887i | ||||
\(561\) | −0.832032 | − | 0.924065i | −0.0351284 | − | 0.0390141i | ||||
\(562\) | 3.72905 | − | 2.70931i | 0.157300 | − | 0.114285i | ||||
\(563\) | −6.30621 | − | 10.9227i | −0.265775 | − | 0.460336i | 0.701991 | − | 0.712185i | \(-0.252294\pi\) |
−0.967766 | + | 0.251850i | \(0.918961\pi\) | |||||||
\(564\) | 2.10957 | − | 3.65389i | 0.0888291 | − | 0.153856i | ||||
\(565\) | 0.0142593 | + | 0.135669i | 0.000599895 | + | 0.00570762i | ||||
\(566\) | −3.04438 | − | 2.21187i | −0.127965 | − | 0.0929719i | ||||
\(567\) | 0.408047 | − | 3.88231i | 0.0171364 | − | 0.163042i | ||||
\(568\) | −4.78031 | + | 5.30907i | −0.200577 | + | 0.222764i | ||||
\(569\) | 33.5648 | + | 14.9440i | 1.40711 | + | 0.626485i | 0.963003 | − | 0.269489i | \(-0.0868549\pi\) |
0.444105 | + | 0.895975i | \(0.353522\pi\) | |||||||
\(570\) | −2.66513 | − | 0.566490i | −0.111630 | − | 0.0237277i | ||||
\(571\) | −33.7761 | + | 7.17933i | −1.41349 | + | 0.300446i | −0.850480 | − | 0.526008i | \(-0.823688\pi\) |
−0.563005 | + | 0.826453i | \(0.690355\pi\) | |||||||
\(572\) | 11.9609 | − | 5.32531i | 0.500108 | − | 0.222663i | ||||
\(573\) | −2.66326 | + | 8.19666i | −0.111259 | + | 0.342420i | ||||
\(574\) | 9.73097 | − | 29.9489i | 0.406163 | − | 1.25004i | ||||
\(575\) | −1.44249 | + | 0.642240i | −0.0601562 | + | 0.0267833i | ||||
\(576\) | −0.978148 | + | 0.207912i | −0.0407562 | + | 0.00866299i | ||||
\(577\) | 20.1226 | + | 4.27720i | 0.837716 | + | 0.178062i | 0.606743 | − | 0.794898i | \(-0.292476\pi\) |
0.230973 | + | 0.972960i | \(0.425809\pi\) | |||||||
\(578\) | −15.4187 | − | 6.86486i | −0.641335 | − | 0.285541i | ||||
\(579\) | −11.6818 | + | 12.9740i | −0.485479 | + | 0.539179i | ||||
\(580\) | −0.0958600 | + | 0.912047i | −0.00398037 | + | 0.0378707i | ||||
\(581\) | −30.7661 | − | 22.3529i | −1.27639 | − | 0.927355i | ||||
\(582\) | 0.574029 | + | 5.46152i | 0.0237943 | + | 0.226387i | ||||
\(583\) | −2.48994 | + | 4.31270i | −0.103123 | + | 0.178614i | ||||
\(584\) | −0.158901 | − | 0.275225i | −0.00657538 | − | 0.0113889i | ||||
\(585\) | −2.97648 | + | 2.16254i | −0.123062 | + | 0.0894100i | ||||
\(586\) | −6.42847 | − | 7.13954i | −0.265558 | − | 0.294932i | ||||
\(587\) | −11.2971 | − | 34.7689i | −0.466281 | − | 1.43506i | −0.857365 | − | 0.514709i | \(-0.827900\pi\) |
0.391084 | − | 0.920355i | \(-0.372100\pi\) | |||||||
\(588\) | 8.23881 | 0.339763 | ||||||||
\(589\) | −14.2413 | + | 5.22705i | −0.586804 | + | 0.215377i | ||||
\(590\) | 9.21212 | 0.379257 | ||||||||
\(591\) | 6.87715 | + | 21.1657i | 0.282888 | + | 0.870640i | ||||
\(592\) | 4.20124 | + | 4.66594i | 0.172670 | + | 0.191769i | ||||
\(593\) | −2.54721 | + | 1.85066i | −0.104601 | + | 0.0759974i | −0.638856 | − | 0.769326i | \(-0.720592\pi\) |
0.534255 | + | 0.845323i | \(0.320592\pi\) | |||||||
\(594\) | −1.77933 | − | 3.08189i | −0.0730068 | − | 0.126451i | ||||
\(595\) | −0.682006 | + | 1.18127i | −0.0279595 | + | 0.0484273i | ||||
\(596\) | 0.831586 | + | 7.91201i | 0.0340631 | + | 0.324089i | ||||
\(597\) | −7.79831 | − | 5.66580i | −0.319164 | − | 0.231886i | ||||
\(598\) | 0.607245 | − | 5.77755i | 0.0248321 | − | 0.236262i | ||||
\(599\) | −18.2683 | + | 20.2890i | −0.746422 | + | 0.828985i | −0.990025 | − | 0.140890i | \(-0.955004\pi\) |
0.243604 | + | 0.969875i | \(0.421670\pi\) | |||||||
\(600\) | 0.913545 | + | 0.406737i | 0.0372953 | + | 0.0166050i | ||||
\(601\) | 20.1516 | + | 4.28336i | 0.822002 | + | 0.174722i | 0.599668 | − | 0.800249i | \(-0.295299\pi\) |
0.222334 | + | 0.974971i | \(0.428632\pi\) | |||||||
\(602\) | 36.8591 | − | 7.83464i | 1.50226 | − | 0.319316i | ||||
\(603\) | 2.45170 | − | 1.09157i | 0.0998408 | − | 0.0444520i | ||||
\(604\) | −3.64636 | + | 11.2223i | −0.148368 | + | 0.456630i | ||||
\(605\) | 0.514222 | − | 1.58261i | 0.0209061 | − | 0.0643424i | ||||
\(606\) | −14.3930 | + | 6.40816i | −0.584674 | + | 0.260314i | ||||
\(607\) | −26.6224 | + | 5.65877i | −1.08057 | + | 0.229682i | −0.713602 | − | 0.700551i | \(-0.752938\pi\) |
−0.366969 | + | 0.930233i | \(0.619604\pi\) | |||||||
\(608\) | −2.66513 | − | 0.566490i | −0.108085 | − | 0.0229742i | ||||
\(609\) | −3.27046 | − | 1.45610i | −0.132526 | − | 0.0590042i | ||||
\(610\) | 3.05380 | − | 3.39159i | 0.123645 | − | 0.137322i | ||||
\(611\) | 1.62257 | − | 15.4378i | 0.0656423 | − | 0.624545i | ||||
\(612\) | 0.282684 | + | 0.205382i | 0.0114268 | + | 0.00830206i | ||||
\(613\) | 3.34475 | + | 31.8232i | 0.135093 | + | 1.28533i | 0.826531 | + | 0.562891i | \(0.190311\pi\) |
−0.691438 | + | 0.722436i | \(0.743022\pi\) | |||||||
\(614\) | −12.3884 | + | 21.4573i | −0.499955 | + | 0.865947i | ||||
\(615\) | 4.03337 | + | 6.98601i | 0.162641 | + | 0.281703i | ||||
\(616\) | 11.2388 | − | 8.16546i | 0.452824 | − | 0.328996i | ||||
\(617\) | 1.41137 | + | 1.56748i | 0.0568194 | + | 0.0631044i | 0.770884 | − | 0.636975i | \(-0.219815\pi\) |
−0.714065 | + | 0.700079i | \(0.753148\pi\) | |||||||
\(618\) | 3.95689 | + | 12.1781i | 0.159170 | + | 0.489874i | ||||
\(619\) | 18.3298 | 0.736738 | 0.368369 | − | 0.929680i | \(-0.379916\pi\) | ||||
0.368369 | + | 0.929680i | \(0.379916\pi\) | |||||||
\(620\) | 5.51147 | − | 0.789779i | 0.221346 | − | 0.0317183i | ||||
\(621\) | −1.57901 | −0.0633634 | ||||||||
\(622\) | 5.60645 | + | 17.2549i | 0.224798 | + | 0.691857i | ||||
\(623\) | 14.7930 | + | 16.4293i | 0.592670 | + | 0.658227i | ||||
\(624\) | −2.97648 | + | 2.16254i | −0.119155 | + | 0.0865709i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −5.40952 | + | 9.36957i | −0.216208 | + | 0.374483i | ||||
\(627\) | −1.01352 | − | 9.64304i | −0.0404763 | − | 0.385106i | ||||
\(628\) | −19.1314 | − | 13.8997i | −0.763424 | − | 0.554660i | ||||
\(629\) | 0.229321 | − | 2.18184i | 0.00914362 | − | 0.0869957i | ||||
\(630\) | −2.61208 | + | 2.90101i | −0.104068 | + | 0.115579i | ||||
\(631\) | −14.9401 | − | 6.65176i | −0.594756 | − | 0.264802i | 0.0872056 | − | 0.996190i | \(-0.472206\pi\) |
−0.681962 | + | 0.731388i | \(0.738873\pi\) | |||||||
\(632\) | −16.0030 | − | 3.40155i | −0.636567 | − | 0.135306i | ||||
\(633\) | −12.5326 | + | 2.66389i | −0.498127 | + | 0.105880i | ||||
\(634\) | 21.5042 | − | 9.57427i | 0.854039 | − | 0.380243i | ||||
\(635\) | −0.157777 | + | 0.485588i | −0.00626119 | + | 0.0192700i | ||||
\(636\) | 0.432429 | − | 1.33088i | 0.0171469 | − | 0.0527728i | ||||
\(637\) | 27.6911 | − | 12.3289i | 1.09716 | − | 0.488488i | ||||
\(638\) | −3.19223 | + | 0.678529i | −0.126381 | + | 0.0268632i | ||||
\(639\) | 6.98795 | + | 1.48533i | 0.276439 | + | 0.0587589i | ||||
\(640\) | 0.913545 | + | 0.406737i | 0.0361111 | + | 0.0160777i | ||||
\(641\) | −26.5750 | + | 29.5146i | −1.04965 | + | 1.16575i | −0.0638284 | + | 0.997961i | \(0.520331\pi\) |
−0.985822 | + | 0.167794i | \(0.946336\pi\) | |||||||
\(642\) | −0.725387 | + | 6.90160i | −0.0286287 | + | 0.272384i | ||||
\(643\) | −25.9926 | − | 18.8847i | −1.02505 | − | 0.744740i | −0.0577356 | − | 0.998332i | \(-0.518388\pi\) |
−0.967311 | + | 0.253592i | \(0.918388\pi\) | |||||||
\(644\) | −0.644309 | − | 6.13019i | −0.0253893 | − | 0.241563i | ||||
\(645\) | −4.82653 | + | 8.35979i | −0.190044 | + | 0.329166i | ||||
\(646\) | 0.476021 | + | 0.824493i | 0.0187288 | + | 0.0324392i | ||||
\(647\) | −0.326781 | + | 0.237420i | −0.0128471 | + | 0.00933395i | −0.594190 | − | 0.804325i | \(-0.702527\pi\) |
0.581343 | + | 0.813658i | \(0.302527\pi\) | |||||||
\(648\) | 0.669131 | + | 0.743145i | 0.0262859 | + | 0.0291935i | ||||
\(649\) | 10.1304 | + | 31.1783i | 0.397655 | + | 1.22386i | ||||
\(650\) | 3.67913 | 0.144307 | ||||||||
\(651\) | −3.71636 | + | 21.4148i | −0.145656 | + | 0.839310i | ||||
\(652\) | 9.59638 | 0.375823 | ||||||||
\(653\) | −10.5051 | − | 32.3314i | −0.411097 | − | 1.26523i | −0.915695 | − | 0.401873i | \(-0.868359\pi\) |
0.504598 | − | 0.863354i | \(-0.331641\pi\) | |||||||
\(654\) | 10.7947 | + | 11.9887i | 0.422105 | + | 0.468795i | ||||
\(655\) | 15.5645 | − | 11.3083i | 0.608156 | − | 0.441851i | ||||
\(656\) | 4.03337 | + | 6.98601i | 0.157477 | + | 0.272758i | ||||
\(657\) | −0.158901 | + | 0.275225i | −0.00619933 | + | 0.0107375i | ||||
\(658\) | −1.72161 | − | 16.3800i | −0.0671153 | − | 0.638560i | ||||
\(659\) | −5.09396 | − | 3.70098i | −0.198432 | − | 0.144170i | 0.484132 | − | 0.874995i | \(-0.339135\pi\) |
−0.682565 | + | 0.730825i | \(0.739135\pi\) | |||||||
\(660\) | −0.371981 | + | 3.53916i | −0.0144793 | + | 0.137762i | ||||
\(661\) | 16.5245 | − | 18.3523i | 0.642729 | − | 0.713823i | −0.330463 | − | 0.943819i | \(-0.607205\pi\) |
0.973191 | + | 0.229996i | \(0.0738714\pi\) | |||||||
\(662\) | 7.76778 | + | 3.45844i | 0.301903 | + | 0.134416i | ||||
\(663\) | 1.25746 | + | 0.267280i | 0.0488355 | + | 0.0103803i | ||||
\(664\) | 9.52893 | − | 2.02544i | 0.369794 | − | 0.0786022i | ||||
\(665\) | −9.71670 | + | 4.32616i | −0.376798 | + | 0.167761i | ||||
\(666\) | 1.94021 | − | 5.97135i | 0.0751816 | − | 0.231385i | ||||
\(667\) | −0.447475 | + | 1.37719i | −0.0173263 | + | 0.0533249i | ||||
\(668\) | −17.7053 | + | 7.88292i | −0.685040 | + | 0.304999i | ||||
\(669\) | 0.546052 | − | 0.116067i | 0.0211116 | − | 0.00448741i | ||||
\(670\) | −2.62507 | − | 0.557976i | −0.101415 | − | 0.0215565i | ||||
\(671\) | 14.8370 | + | 6.60587i | 0.572777 | + | 0.255017i | ||||
\(672\) | −2.61208 | + | 2.90101i | −0.100763 | + | 0.111909i | ||||
\(673\) | −0.879548 | + | 8.36834i | −0.0339041 | + | 0.322576i | 0.964404 | + | 0.264433i | \(0.0851847\pi\) |
−0.998308 | + | 0.0581432i | \(0.981482\pi\) | |||||||
\(674\) | 9.13874 | + | 6.63969i | 0.352011 | + | 0.255751i | ||||
\(675\) | −0.104528 | − | 0.994522i | −0.00402330 | − | 0.0382792i | ||||
\(676\) | −0.268011 | + | 0.464208i | −0.0103081 | + | 0.0178542i | ||||
\(677\) | 0.818171 | + | 1.41711i | 0.0314449 | + | 0.0544641i | 0.881320 | − | 0.472521i | \(-0.156656\pi\) |
−0.849875 | + | 0.526985i | \(0.823322\pi\) | |||||||
\(678\) | 0.110363 | − | 0.0801832i | 0.00423845 | − | 0.00307942i | ||||
\(679\) | 14.3445 | + | 15.9312i | 0.550492 | + | 0.611383i | ||||
\(680\) | −0.107975 | − | 0.332314i | −0.00414067 | − | 0.0127437i | ||||
\(681\) | −4.80755 | −0.184226 | ||||||||
\(682\) | 8.73388 | + | 17.7850i | 0.334438 | + | 0.681022i | ||||
\(683\) | 6.61634 | 0.253167 | 0.126584 | − | 0.991956i | \(-0.459599\pi\) | ||||
0.126584 | + | 0.991956i | \(0.459599\pi\) | |||||||
\(684\) | 0.841968 | + | 2.59131i | 0.0321935 | + | 0.0990813i | ||||
\(685\) | −5.37601 | − | 5.97067i | −0.205407 | − | 0.228128i | ||||
\(686\) | 3.91235 | − | 2.84249i | 0.149374 | − | 0.108527i | ||||
\(687\) | −7.79735 | − | 13.5054i | −0.297487 | − | 0.515263i | ||||
\(688\) | −4.82653 | + | 8.35979i | −0.184010 | + | 0.318714i | ||||
\(689\) | −0.538161 | − | 5.12026i | −0.0205023 | − | 0.195066i | ||||
\(690\) | 1.27744 | + | 0.928117i | 0.0486314 | + | 0.0353328i | ||||
\(691\) | −2.84038 | + | 27.0244i | −0.108053 | + | 1.02806i | 0.797354 | + | 0.603512i | \(0.206232\pi\) |
−0.905407 | + | 0.424544i | \(0.860434\pi\) | |||||||
\(692\) | −3.13874 | + | 3.48592i | −0.119317 | + | 0.132515i | ||||
\(693\) | −12.6909 | − | 5.65035i | −0.482087 | − | 0.214639i | ||||
\(694\) | −8.40000 | − | 1.78548i | −0.318860 | − | 0.0677757i | ||||
\(695\) | 10.2842 | − | 2.18598i | 0.390103 | − | 0.0829190i | ||||
\(696\) | 0.837786 | − | 0.373006i | 0.0317562 | − | 0.0141388i | ||||
\(697\) | 0.871011 | − | 2.68070i | 0.0329919 | − | 0.101539i | ||||
\(698\) | −6.00392 | + | 18.4782i | −0.227252 | + | 0.699409i | ||||
\(699\) | 25.6586 | − | 11.4239i | 0.970496 | − | 0.432093i | ||||
\(700\) | 3.81839 | − | 0.811623i | 0.144321 | − | 0.0306765i | ||||
\(701\) | −40.9666 | − | 8.70771i | −1.54729 | − | 0.328886i | −0.646420 | − | 0.762982i | \(-0.723734\pi\) |
−0.900866 | + | 0.434096i | \(0.857068\pi\) | |||||||
\(702\) | 3.36106 | + | 1.49644i | 0.126855 | + | 0.0564794i | ||||
\(703\) | 11.4470 | − | 12.7131i | 0.431730 | − | 0.479485i | ||||
\(704\) | −0.371981 | + | 3.53916i | −0.0140196 | + | 0.133387i | ||||
\(705\) | 3.41336 | + | 2.47995i | 0.128555 | + | 0.0934004i | ||||
\(706\) | 0.0801304 | + | 0.762389i | 0.00301575 | + | 0.0286929i | ||||
\(707\) | −30.7514 | + | 53.2631i | −1.15653 | + | 2.00316i | ||||
\(708\) | −4.60606 | − | 7.97793i | −0.173106 | − | 0.299829i | ||||
\(709\) | 33.6190 | − | 24.4256i | 1.26259 | − | 0.917323i | 0.263706 | − | 0.964603i | \(-0.415055\pi\) |
0.998882 | + | 0.0472800i | \(0.0150553\pi\) | |||||||
\(710\) | −4.78031 | − | 5.30907i | −0.179402 | − | 0.199246i | ||||
\(711\) | 5.05569 | + | 15.5598i | 0.189603 | + | 0.583539i | ||||
\(712\) | −5.66332 | −0.212242 | ||||||||
\(713\) | 8.77175 | + | 0.589566i | 0.328504 | + | 0.0220794i | ||||
\(714\) | 1.36401 | 0.0510469 | ||||||||
\(715\) | 4.04589 | + | 12.4520i | 0.151308 | + | 0.465678i | ||||
\(716\) | 9.25448 | + | 10.2781i | 0.345856 | + | 0.384112i | ||||
\(717\) | 22.3309 | − | 16.2243i | 0.833962 | − | 0.605909i | ||||
\(718\) | −4.76421 | − | 8.25186i | −0.177799 | − | 0.307957i | ||||
\(719\) | 21.7688 | − | 37.7047i | 0.811839 | − | 1.40615i | −0.0997368 | − | 0.995014i | \(-0.531800\pi\) |
0.911576 | − | 0.411132i | \(-0.134867\pi\) | |||||||
\(720\) | −0.104528 | − | 0.994522i | −0.00389555 | − | 0.0370636i | ||||
\(721\) | 40.4394 | + | 29.3810i | 1.50604 | + | 1.09420i | ||||
\(722\) | 1.21004 | − | 11.5128i | 0.0450331 | − | 0.428461i | ||||
\(723\) | 10.8947 | − | 12.0998i | 0.405177 | − | 0.449995i | ||||
\(724\) | 3.44396 | + | 1.53335i | 0.127994 | + | 0.0569864i | ||||
\(725\) | −0.897031 | − | 0.190670i | −0.0333149 | − | 0.00708130i | ||||
\(726\) | −1.62769 | + | 0.345977i | −0.0604094 | + | 0.0128404i | ||||
\(727\) | 36.6939 | − | 16.3372i | 1.36090 | − | 0.605913i | 0.409062 | − | 0.912507i | \(-0.365856\pi\) |
0.951840 | + | 0.306594i | \(0.0991895\pi\) | |||||||
\(728\) | −4.43816 | + | 13.6593i | −0.164489 | + | 0.506246i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 0.290327 | − | 0.129262i | 0.0107455 | − | 0.00478420i | ||||
\(731\) | 3.29922 | − | 0.701272i | 0.122026 | − | 0.0259375i | ||||
\(732\) | −4.46411 | − | 0.948876i | −0.164998 | − | 0.0350715i | ||||
\(733\) | 11.7860 | + | 5.24748i | 0.435327 | + | 0.193820i | 0.612687 | − | 0.790326i | \(-0.290089\pi\) |
−0.177359 | + | 0.984146i | \(0.556756\pi\) | |||||||
\(734\) | 13.0026 | − | 14.4408i | 0.479934 | − | 0.533021i | ||||
\(735\) | −0.861190 | + | 8.19368i | −0.0317655 | + | 0.302228i | ||||
\(736\) | 1.27744 | + | 0.928117i | 0.0470872 | + | 0.0342108i | ||||
\(737\) | −0.998292 | − | 9.49811i | −0.0367725 | − | 0.349867i | ||||
\(738\) | 4.03337 | − | 6.98601i | 0.148471 | − | 0.257158i | ||||
\(739\) | 18.3537 | + | 31.7895i | 0.675152 | + | 1.16940i | 0.976425 | + | 0.215859i | \(0.0692552\pi\) |
−0.301273 | + | 0.953538i | \(0.597411\pi\) | |||||||
\(740\) | −5.07953 | + | 3.69050i | −0.186727 | + | 0.135665i | ||||
\(741\) | 6.70764 | + | 7.44959i | 0.246411 | + | 0.273667i | ||||
\(742\) | −1.68807 | − | 5.19534i | −0.0619709 | − | 0.190727i | ||||
\(743\) | 33.7524 | 1.23825 | 0.619127 | − | 0.785291i | \(-0.287486\pi\) | ||||
0.619127 | + | 0.785291i | \(0.287486\pi\) | |||||||
\(744\) | −3.43970 | − | 4.37818i | −0.126106 | − | 0.160512i | ||||
\(745\) | −7.95560 | −0.291470 | ||||||||
\(746\) | 7.52097 | + | 23.1472i | 0.275362 | + | 0.847477i | ||||
\(747\) | −6.51855 | − | 7.23958i | −0.238501 | − | 0.264882i | ||||
\(748\) | 1.00597 | − | 0.730883i | 0.0367821 | − | 0.0267237i | ||||
\(749\) | 13.5451 | + | 23.4607i | 0.494925 | + | 0.857236i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | −2.60745 | − | 24.8083i | −0.0951473 | − | 0.905266i | −0.933123 | − | 0.359558i | \(-0.882927\pi\) |
0.837975 | − | 0.545708i | \(-0.183739\pi\) | |||||||
\(752\) | 3.41336 | + | 2.47995i | 0.124472 | + | 0.0904345i | ||||
\(753\) | −2.53674 | + | 24.1355i | −0.0924439 | + | 0.879545i | ||||
\(754\) | 2.25766 | − | 2.50739i | 0.0822193 | − | 0.0913137i | ||||
\(755\) | −10.7797 | − | 4.79944i | −0.392314 | − | 0.174669i | ||||
\(756\) | 3.81839 | + | 0.811623i | 0.138873 | + | 0.0295184i | ||||
\(757\) | 20.5940 | − | 4.37740i | 0.748503 | − | 0.159099i | 0.182160 | − | 0.983269i | \(-0.441691\pi\) |
0.566343 | + | 0.824170i | \(0.308358\pi\) | |||||||
\(758\) | 13.8646 | − | 6.17293i | 0.503586 | − | 0.224211i | ||||
\(759\) | −1.73641 | + | 5.34413i | −0.0630278 | + | 0.193979i | ||||
\(760\) | 0.841968 | − | 2.59131i | 0.0305414 | − | 0.0939967i | ||||
\(761\) | 5.48996 | − | 2.44429i | 0.199011 | − | 0.0886054i | −0.304811 | − | 0.952413i | \(-0.598593\pi\) |
0.503822 | + | 0.863807i | \(0.331927\pi\) | |||||||
\(762\) | 0.499420 | − | 0.106155i | 0.0180921 | − | 0.00384559i | ||||
\(763\) | 61.5996 | + | 13.0934i | 2.23006 | + | 0.474013i | ||||
\(764\) | −7.87337 | − | 3.50545i | −0.284849 | − | 0.126823i | ||||
\(765\) | −0.233805 | + | 0.259667i | −0.00845324 | + | 0.00938827i | ||||
\(766\) | 1.18607 | − | 11.2847i | 0.0428543 | − | 0.407732i | ||||
\(767\) | −27.4197 | − | 19.9216i | −0.990068 | − | 0.719327i | ||||
\(768\) | −0.104528 | − | 0.994522i | −0.00377185 | − | 0.0358867i | ||||
\(769\) | −10.1624 | + | 17.6017i | −0.366464 | + | 0.634735i | −0.989010 | − | 0.147849i | \(-0.952765\pi\) |
0.622546 | + | 0.782583i | \(0.286098\pi\) | |||||||
\(770\) | 6.94595 | + | 12.0307i | 0.250315 | + | 0.433558i | ||||
\(771\) | 0.133531 | − | 0.0970157i | 0.00480899 | − | 0.00349393i | ||||
\(772\) | −11.6818 | − | 12.9740i | −0.420437 | − | 0.466943i | ||||
\(773\) | 0.941830 | + | 2.89866i | 0.0338753 | + | 0.104257i | 0.966564 | − | 0.256424i | \(-0.0825443\pi\) |
−0.932689 | + | 0.360681i | \(0.882544\pi\) | |||||||
\(774\) | 9.65305 | 0.346972 | ||||||||
\(775\) | 0.209348 | + | 5.56383i | 0.00751999 | + | 0.199859i | ||||
\(776\) | −5.49160 | −0.197137 | ||||||||
\(777\) | −7.57398 | − | 23.3103i | −0.271715 | − | 0.836253i | ||||
\(778\) | 5.23174 | + | 5.81044i | 0.187567 | + | 0.208314i | ||||
\(779\) | 17.7815 | − | 12.9190i | 0.637090 | − | 0.462873i | ||||
\(780\) | −1.83957 | − | 3.18622i | −0.0658671 | − | 0.114085i | ||||
\(781\) | 12.7116 | − | 22.0172i | 0.454858 | − | 0.787838i | ||||
\(782\) | −0.0576715 | − | 0.548708i | −0.00206233 | − | 0.0196218i | ||||
\(783\) | −0.741926 | − | 0.539041i | −0.0265143 | − | 0.0192637i | ||||
\(784\) | −0.861190 | + | 8.19368i | −0.0307568 | + | 0.292631i | ||||
\(785\) | 15.8234 | − | 17.5736i | 0.564760 | − | 0.627230i | ||||
\(786\) | −17.5755 | − | 7.82513i | −0.626898 | − | 0.279113i | ||||
\(787\) | −32.7643 | − | 6.96427i | −1.16792 | − | 0.248250i | −0.417167 | − | 0.908830i | \(-0.636977\pi\) |
−0.750755 | + | 0.660580i | \(0.770310\pi\) | |||||||
\(788\) | −21.7686 | + | 4.62706i | −0.775474 | + | 0.164832i | ||||
\(789\) | −17.7415 | + | 7.89903i | −0.631615 | + | 0.281213i | ||||
\(790\) | 5.05569 | − | 15.5598i | 0.179873 | − | 0.553593i | ||||
\(791\) | 0.164559 | − | 0.506462i | 0.00585106 | − | 0.0180077i | ||||
\(792\) | 3.25100 | − | 1.44744i | 0.115519 | − | 0.0514324i | ||||
\(793\) | −16.4241 | + | 3.49104i | −0.583235 | + | 0.123970i | ||||
\(794\) | −29.8309 | − | 6.34076i | −1.05866 | − | 0.225025i | ||||
\(795\) | 1.27839 | + | 0.569174i | 0.0453397 | + | 0.0201865i | ||||
\(796\) | 6.44991 | − | 7.16335i | 0.228611 | − | 0.253898i | ||||
\(797\) | −4.66397 | + | 44.3747i | −0.165206 | + | 1.57183i | 0.526830 | + | 0.849971i | \(0.323381\pi\) |
−0.692036 | + | 0.721863i | \(0.743286\pi\) | |||||||
\(798\) | 8.60491 | + | 6.25183i | 0.304611 | + | 0.221313i | ||||
\(799\) | −0.154100 | − | 1.46616i | −0.00545166 | − | 0.0518691i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | 2.83166 | + | 4.90458i | 0.100052 | + | 0.173295i | ||||
\(802\) | −9.32826 | + | 6.77738i | −0.329392 | + | 0.239317i | ||||
\(803\) | 0.756754 | + | 0.840460i | 0.0267053 | + | 0.0296592i | ||||
\(804\) | 0.829314 | + | 2.55236i | 0.0292476 | + | 0.0900150i | ||||
\(805\) | 6.16395 | 0.217251 | ||||||||
\(806\) | −18.1127 | − | 9.56800i | −0.637993 | − | 0.337019i | ||||
\(807\) | 10.6525 | 0.374986 | ||||||||
\(808\) | −4.86858 | − | 14.9840i | −0.171276 | − | 0.527134i | ||||
\(809\) | −4.00629 | − | 4.44943i | −0.140854 | − | 0.156434i | 0.668590 | − | 0.743631i | \(-0.266898\pi\) |
−0.809444 | + | 0.587197i | \(0.800231\pi\) | |||||||
\(810\) | −0.809017 | + | 0.587785i | −0.0284260 | + | 0.0206527i | ||||
\(811\) | 11.4724 | + | 19.8708i | 0.402852 | + | 0.697760i | 0.994069 | − | 0.108753i | \(-0.0346857\pi\) |
−0.591217 | + | 0.806512i | \(0.701352\pi\) | |||||||
\(812\) | 1.78998 | − | 3.10034i | 0.0628160 | − | 0.108801i | ||||
\(813\) | −2.68463 | − | 25.5426i | −0.0941541 | − | 0.895817i | ||||
\(814\) | −18.0763 | − | 13.1332i | −0.633575 | − | 0.460319i | ||||
\(815\) | −1.00310 | + | 9.54381i | −0.0351369 | + | 0.334305i | ||||
\(816\) | −0.233805 | + | 0.259667i | −0.00818481 | + | 0.00909015i | ||||
\(817\) | 24.0275 | + | 10.6977i | 0.840615 | + | 0.374266i | ||||
\(818\) | −2.66432 | − | 0.566318i | −0.0931557 | − | 0.0198009i | ||||
\(819\) | 14.0484 | − | 2.98607i | 0.490889 | − | 0.104342i | ||||
\(820\) | −7.36934 | + | 3.28104i | −0.257348 | + | 0.114579i | ||||
\(821\) | 4.66993 | − | 14.3726i | 0.162982 | − | 0.501606i | −0.835900 | − | 0.548881i | \(-0.815054\pi\) |
0.998882 | + | 0.0472753i | \(0.0150538\pi\) | |||||||
\(822\) | −2.48274 | + | 7.64110i | −0.0865956 | + | 0.266514i | ||||
\(823\) | −4.52731 | + | 2.01569i | −0.157812 | + | 0.0702625i | −0.484123 | − | 0.875000i | \(-0.660861\pi\) |
0.326311 | + | 0.945263i | \(0.394194\pi\) | |||||||
\(824\) | −12.5250 | + | 2.66226i | −0.436328 | + | 0.0927443i | ||||
\(825\) | −3.48089 | − | 0.739887i | −0.121189 | − | 0.0257596i | ||||
\(826\) | −32.8523 | − | 14.6268i | −1.14308 | − | 0.508930i | ||||
\(827\) | 29.4989 | − | 32.7618i | 1.02578 | − | 1.13924i | 0.0356073 | − | 0.999366i | \(-0.488663\pi\) |
0.990169 | − | 0.139874i | \(-0.0446699\pi\) | |||||||
\(828\) | 0.165051 | − | 1.57036i | 0.00573592 | − | 0.0545737i | ||||
\(829\) | 31.3208 | + | 22.7559i | 1.08781 | + | 0.790344i | 0.979029 | − | 0.203722i | \(-0.0653037\pi\) |
0.108786 | + | 0.994065i | \(0.465304\pi\) | |||||||
\(830\) | 1.01830 | + | 9.68845i | 0.0353456 | + | 0.336291i | ||||
\(831\) | 3.52457 | − | 6.10474i | 0.122266 | − | 0.211771i | ||||
\(832\) | −1.83957 | − | 3.18622i | −0.0637755 | − | 0.110462i | ||||
\(833\) | 2.32898 | − | 1.69210i | 0.0806942 | − | 0.0586278i | ||||
\(834\) | −7.03524 | − | 7.81342i | −0.243610 | − | 0.270557i | ||||
\(835\) | −5.98903 | − | 18.4323i | −0.207259 | − | 0.637877i | ||||
\(836\) | 9.69616 | 0.335349 | ||||||||
\(837\) | −2.07176 | + | 5.16796i | −0.0716106 | + | 0.178631i | ||||
\(838\) | 34.6685 | 1.19760 | ||||||||
\(839\) | 10.0086 | + | 30.8034i | 0.345536 | + | 1.06345i | 0.961296 | + | 0.275517i | \(0.0888492\pi\) |
−0.615760 | + | 0.787934i | \(0.711151\pi\) | |||||||
\(840\) | −2.61208 | − | 2.90101i | −0.0901253 | − | 0.100094i | ||||
\(841\) | 22.7811 | − | 16.5514i | 0.785555 | − | 0.570739i | ||||
\(842\) | −13.8715 | − | 24.0262i | −0.478044 | − | 0.827997i | ||||
\(843\) | 2.30468 | − | 3.99182i | 0.0793773 | − | 0.137486i | ||||
\(844\) | −1.33928 | − | 12.7424i | −0.0461000 | − | 0.438612i | ||||
\(845\) | −0.433650 | − | 0.315065i | −0.0149180 | − | 0.0108386i | ||||
\(846\) | 0.441021 | − | 4.19603i | 0.0151626 | − | 0.144263i | ||||
\(847\) | −4.34665 | + | 4.82744i | −0.149353 | + | 0.165873i | ||||
\(848\) | 1.27839 | + | 0.569174i | 0.0439000 | + | 0.0195455i | ||||
\(849\) | −3.68083 | − | 0.782384i | −0.126326 | − | 0.0268514i | ||||
\(850\) | 0.341780 | − | 0.0726477i | 0.0117230 | − | 0.00249179i | ||||
\(851\) | −9.05691 | + | 4.03240i | −0.310467 | + | 0.138229i | ||||
\(852\) | −2.20764 | + | 6.79441i | −0.0756324 | + | 0.232773i | ||||
\(853\) | 7.82734 | − | 24.0901i | 0.268003 | − | 0.824828i | −0.722983 | − | 0.690865i | \(-0.757230\pi\) |
0.990986 | − | 0.133963i | \(-0.0427703\pi\) | |||||||
\(854\) | −16.2756 | + | 7.24635i | −0.556938 | + | 0.247965i | ||||
\(855\) | −2.66513 | + | 0.566490i | −0.0911454 | + | 0.0193735i | ||||
\(856\) | −6.78796 | − | 1.44283i | −0.232008 | − | 0.0493148i | ||||
\(857\) | −35.7877 | − | 15.9337i | −1.22248 | − | 0.544284i | −0.308961 | − | 0.951075i | \(-0.599981\pi\) |
−0.913522 | + | 0.406790i | \(0.866648\pi\) | |||||||
\(858\) | 8.76078 | − | 9.72983i | 0.299088 | − | 0.332171i | ||||
\(859\) | 3.36802 | − | 32.0446i | 0.114915 | − | 1.09335i | −0.773338 | − | 0.633994i | \(-0.781415\pi\) |
0.888254 | − | 0.459353i | \(-0.151919\pi\) | |||||||
\(860\) | −7.80948 | − | 5.67392i | −0.266301 | − | 0.193479i | ||||
\(861\) | −3.29161 | − | 31.3176i | −0.112178 | − | 1.06730i | ||||
\(862\) | 8.69568 | − | 15.0614i | 0.296176 | − | 0.512992i | ||||
\(863\) | 15.8614 | + | 27.4727i | 0.539928 | + | 0.935183i | 0.998907 | + | 0.0467357i | \(0.0148819\pi\) |
−0.458979 | + | 0.888447i | \(0.651785\pi\) | |||||||
\(864\) | −0.809017 | + | 0.587785i | −0.0275233 | + | 0.0199969i | ||||
\(865\) | −3.13874 | − | 3.48592i | −0.106720 | − | 0.118525i | ||||
\(866\) | 1.68404 | + | 5.18295i | 0.0572261 | + | 0.176124i | ||||
\(867\) | −16.8779 | −0.573204 | ||||||||
\(868\) | −20.9090 | − | 5.93445i | −0.709697 | − | 0.201428i | ||||
\(869\) | 58.2216 | 1.97503 | ||||||||
\(870\) | 0.283390 | + | 0.872186i | 0.00960784 | + | 0.0295699i | ||||
\(871\) | 6.60683 | + | 7.33762i | 0.223864 | + | 0.248626i | ||||
\(872\) | −13.0514 | + | 9.48237i | −0.441975 | + | 0.321114i | ||||
\(873\) | 2.74580 | + | 4.75587i | 0.0929313 | + | 0.160962i | ||||
\(874\) | 2.15113 | − | 3.72587i | 0.0727632 | − | 0.126029i | ||||
\(875\) | 0.408047 | + | 3.88231i | 0.0137945 | + | 0.131246i | ||||
\(876\) | −0.257108 | − | 0.186800i | −0.00868686 | − | 0.00631137i | ||||
\(877\) | −5.46885 | + | 52.0326i | −0.184670 | + | 1.75702i | 0.373817 | + | 0.927502i | \(0.378049\pi\) |
−0.558487 | + | 0.829513i | \(0.688618\pi\) | |||||||
\(878\) | 10.5518 | − | 11.7189i | 0.356104 | − | 0.395494i | ||||
\(879\) | −8.77662 | − | 3.90760i | −0.296028 | − | 0.131800i | ||||
\(880\) | −3.48089 | − | 0.739887i | −0.117341 | − | 0.0249416i | ||||
\(881\) | 29.9661 | − | 6.36949i | 1.00958 | − | 0.214593i | 0.326705 | − | 0.945126i | \(-0.394062\pi\) |
0.682878 | + | 0.730533i | \(0.260728\pi\) | |||||||
\(882\) | 7.52653 | − | 3.35103i | 0.253431 | − | 0.112835i | ||||
\(883\) | −0.648058 | + | 1.99452i | −0.0218089 | + | 0.0671209i | −0.961369 | − | 0.275264i | \(-0.911235\pi\) |
0.939560 | + | 0.342385i | \(0.111235\pi\) | |||||||
\(884\) | −0.397256 | + | 1.22263i | −0.0133612 | + | 0.0411215i | ||||
\(885\) | 8.41569 | − | 3.74691i | 0.282890 | − | 0.125951i | ||||
\(886\) | −15.1030 | + | 3.21024i | −0.507395 | + | 0.107850i | ||||
\(887\) | −51.3181 | − | 10.9080i | −1.72309 | − | 0.366255i | −0.763100 | − | 0.646280i | \(-0.776324\pi\) |
−0.959992 | + | 0.280026i | \(0.909657\pi\) | |||||||
\(888\) | 5.73583 | + | 2.55376i | 0.192482 | + | 0.0856985i | ||||
\(889\) | 1.33367 | − | 1.48119i | 0.0447298 | − | 0.0496775i | ||||
\(890\) | 0.591978 | − | 5.63229i | 0.0198431 | − | 0.188795i | ||||
\(891\) | −2.87902 | − | 2.09173i | −0.0964507 | − | 0.0700755i | ||||
\(892\) | 0.0583532 | + | 0.555193i | 0.00195381 | + | 0.0185892i | ||||
\(893\) | 5.74788 | − | 9.95562i | 0.192346 | − | 0.333152i | ||||
\(894\) | 3.97780 | + | 6.88975i | 0.133037 | + | 0.230428i | ||||
\(895\) | −11.1892 | + | 8.12942i | −0.374013 | + | 0.271737i | ||||
\(896\) | −2.61208 | − | 2.90101i | −0.0872635 | − | 0.0969159i | ||||
\(897\) | −1.79520 | − | 5.52504i | −0.0599398 | − | 0.184476i | ||||
\(898\) | −23.9115 | −0.797938 | ||||||||
\(899\) | 3.92030 | + | 3.27151i | 0.130749 | + | 0.109111i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −0.151097 | − | 0.465030i | −0.00503379 | − | 0.0154924i | ||||
\(902\) | −19.2086 | − | 21.3333i | −0.639576 | − | 0.710322i | ||||
\(903\) | 30.4858 | − | 22.1492i | 1.01450 | − | 0.737081i | ||||
\(904\) | 0.0682079 | + | 0.118140i | 0.00226856 | + | 0.00392926i | ||||
\(905\) | −1.88494 | + | 3.26481i | −0.0626575 | + | 0.108526i | ||||
\(906\) | 1.23342 | + | 11.7352i | 0.0409777 | + | 0.389877i | ||||
\(907\) | −22.2111 | − | 16.1373i | −0.737508 | − | 0.535831i | 0.154422 | − | 0.988005i | \(-0.450648\pi\) |
−0.891930 | + | 0.452174i | \(0.850648\pi\) | |||||||
\(908\) | 0.502526 | − | 4.78122i | 0.0166769 | − | 0.158670i | ||||
\(909\) | −10.5422 | + | 11.7083i | −0.349662 | + | 0.388339i | ||||
\(910\) | −13.1205 | − | 5.84163i | −0.434941 | − | 0.193648i | ||||
\(911\) | 50.7814 | + | 10.7939i | 1.68246 | + | 0.357619i | 0.947319 | − | 0.320291i | \(-0.103781\pi\) |
0.735145 | + | 0.677910i | \(0.237114\pi\) | |||||||
\(912\) | −2.66513 | + | 0.566490i | −0.0882511 | + | 0.0187584i | ||||
\(913\) | −31.6706 | + | 14.1007i | −1.04814 | + | 0.466664i | ||||
\(914\) | −4.78730 | + | 14.7338i | −0.158350 | + | 0.487350i | ||||
\(915\) | 1.41030 | − | 4.34047i | 0.0466232 | − | 0.143491i | ||||
\(916\) | 14.2465 | − | 6.34293i | 0.470716 | − | 0.209576i | ||||
\(917\) | −73.4612 | + | 15.6147i | −2.42590 | + | 0.515642i | ||||
\(918\) | 0.341780 | + | 0.0726477i | 0.0112804 | + | 0.00239773i | ||||
\(919\) | 46.6814 | + | 20.7839i | 1.53988 | + | 0.685598i | 0.988854 | − | 0.148891i | \(-0.0475705\pi\) |
0.551024 | + | 0.834489i | \(0.314237\pi\) | |||||||
\(920\) | −1.05656 | + | 1.17343i | −0.0348338 | + | 0.0386869i | ||||
\(921\) | −2.58988 | + | 24.6410i | −0.0853394 | + | 0.811950i | ||||
\(922\) | −29.9609 | − | 21.7679i | −0.986711 | − | 0.716887i | ||||
\(923\) | 2.74742 | + | 26.1400i | 0.0904325 | + | 0.860408i | ||||
\(924\) | 6.94595 | − | 12.0307i | 0.228505 | − | 0.395783i | ||||
\(925\) | −3.13932 | − | 5.43747i | −0.103220 | − | 0.178783i | ||||
\(926\) | 30.9887 | − | 22.5146i | 1.01835 | − | 0.739875i | ||||
\(927\) | 8.56807 | + | 9.51580i | 0.281412 | + | 0.312540i | ||||
\(928\) | 0.283390 | + | 0.872186i | 0.00930275 | + | 0.0286309i | ||||
\(929\) | 42.5073 | 1.39462 | 0.697309 | − | 0.716771i | \(-0.254381\pi\) | ||||
0.697309 | + | 0.716771i | \(0.254381\pi\) | |||||||
\(930\) | 4.71374 | − | 2.96321i | 0.154570 | − | 0.0971676i | ||||
\(931\) | 22.4480 | 0.735704 | ||||||||
\(932\) | 8.67929 | + | 26.7121i | 0.284300 | + | 0.874985i | ||||
\(933\) | 12.1399 | + | 13.4828i | 0.397443 | + | 0.441406i | ||||
\(934\) | 8.53862 | − | 6.20367i | 0.279392 | − | 0.202990i | ||||
\(935\) | 0.621726 | + | 1.07686i | 0.0203326 | + | 0.0352171i | ||||
\(936\) | −1.83957 | + | 3.18622i | −0.0601281 | + | 0.104145i | ||||
\(937\) | 0.669291 | + | 6.36788i | 0.0218648 | + | 0.208030i | 1.00000 | 5.95812e-5i | \(1.89653e-5\pi\) | |
−0.978135 | + | 0.207970i | \(0.933314\pi\) | |||||||
\(938\) | 8.47558 | + | 6.15787i | 0.276738 | + | 0.201062i | ||||
\(939\) | −1.13090 | + | 10.7598i | −0.0369055 | + | 0.351132i | ||||
\(940\) | −2.82316 | + | 3.13544i | −0.0920813 | + | 0.102267i | ||||
\(941\) | −41.0781 | − | 18.2891i | −1.33911 | − | 0.596209i | −0.392843 | − | 0.919606i | \(-0.628508\pi\) |
−0.946263 | + | 0.323397i | \(0.895175\pi\) | |||||||
\(942\) | −23.1309 | − | 4.91663i | −0.753646 | − | 0.160192i | ||||
\(943\) | −12.4591 | + | 2.64826i | −0.405724 | + | 0.0862393i | ||||
\(944\) | 8.41569 | − | 3.74691i | 0.273907 | − | 0.121951i | ||||
\(945\) | −1.20631 | + | 3.71263i | −0.0392412 | + | 0.120772i | ||||
\(946\) | 10.6153 | − | 32.6706i | 0.345134 | − | 1.06221i | ||||
\(947\) | 27.9433 | − | 12.4412i | 0.908035 | − | 0.404283i | 0.101068 | − | 0.994880i | \(-0.467774\pi\) |
0.806967 | + | 0.590596i | \(0.201107\pi\) | |||||||
\(948\) | −16.0030 | + | 3.40155i | −0.519754 | + | 0.110477i | ||||
\(949\) | −1.14369 | − | 0.243098i | −0.0371256 | − | 0.00789130i | ||||
\(950\) | 2.48911 | + | 1.10822i | 0.0807573 | + | 0.0359555i | ||||
\(951\) | 15.7508 | − | 17.4931i | 0.510755 | − | 0.567251i | ||||
\(952\) | −0.142578 | + | 1.35654i | −0.00462098 | + | 0.0439657i | ||||
\(953\) | 12.7697 | + | 9.27770i | 0.413650 | + | 0.300534i | 0.775078 | − | 0.631866i | \(-0.217711\pi\) |
−0.361428 | + | 0.932400i | \(0.617711\pi\) | |||||||
\(954\) | −0.146274 | − | 1.39170i | −0.00473579 | − | 0.0450580i | ||||
\(955\) | 4.30924 | − | 7.46382i | 0.139444 | − | 0.241524i | ||||
\(956\) | 13.8012 | + | 23.9044i | 0.446364 | + | 0.773125i | ||||
\(957\) | −2.64026 | + | 1.91826i | −0.0853475 | + | 0.0620086i | ||||
\(958\) | −5.80803 | − | 6.45048i | −0.187649 | − | 0.208405i | ||||
\(959\) | 9.69187 | + | 29.8285i | 0.312967 | + | 0.963212i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | 13.4387 | − | 27.9357i | 0.433507 | − | 0.901150i | ||||
\(962\) | 23.1000 | 0.744773 | ||||||||
\(963\) | 2.14446 | + | 6.59996i | 0.0691042 | + | 0.212681i | ||||
\(964\) | 10.8947 | + | 12.0998i | 0.350894 | + | 0.389707i | ||||
\(965\) | 14.1240 | − | 10.2617i | 0.454666 | − | 0.330335i | ||||
\(966\) | −3.08198 | − | 5.33814i | −0.0991610 | − | 0.171752i | ||||
\(967\) | 23.3440 | − | 40.4330i | 0.750692 | − | 1.30024i | −0.196796 | − | 0.980445i | \(-0.563054\pi\) |
0.947488 | − | 0.319792i | \(-0.103613\pi\) | |||||||
\(968\) | −0.173941 | − | 1.65494i | −0.00559069 | − | 0.0531918i | ||||
\(969\) | 0.770218 | + | 0.559596i | 0.0247430 | + | 0.0179768i | ||||
\(970\) | 0.574029 | − | 5.46152i | 0.0184310 | − | 0.175359i | ||||
\(971\) | −31.4133 | + | 34.8880i | −1.00810 | + | 1.11961i | −0.0152934 | + | 0.999883i | \(0.504868\pi\) |
−0.992807 | + | 0.119726i | \(0.961798\pi\) | |||||||
\(972\) | 0.913545 | + | 0.406737i | 0.0293020 | + | 0.0130461i | ||||
\(973\) | −40.1465 | − | 8.53340i | −1.28704 | − | 0.273568i | ||||
\(974\) | 22.8048 | − | 4.84730i | 0.730712 | − | 0.155318i | ||||
\(975\) | 3.36106 | − | 1.49644i | 0.107640 | − | 0.0479244i | ||||
\(976\) | 1.41030 | − | 4.34047i | 0.0451427 | − | 0.138935i | ||||
\(977\) | −2.87360 | + | 8.84405i | −0.0919348 | + | 0.282946i | −0.986443 | − | 0.164106i | \(-0.947526\pi\) |
0.894508 | + | 0.447052i | \(0.147526\pi\) | |||||||
\(978\) | 8.76673 | − | 3.90320i | 0.280329 | − | 0.124811i | ||||
\(979\) | 19.7134 | − | 4.19021i | 0.630043 | − | 0.133920i | ||||
\(980\) | −8.05877 | − | 1.71294i | −0.257428 | − | 0.0547180i | ||||
\(981\) | 14.7377 | + | 6.56163i | 0.470537 | + | 0.209497i | ||||
\(982\) | −11.4928 | + | 12.7641i | −0.366751 | + | 0.407319i | ||||
\(983\) | −0.271911 | + | 2.58706i | −0.00867262 | + | 0.0825145i | −0.998002 | − | 0.0631812i | \(-0.979875\pi\) |
0.989329 | + | 0.145696i | \(0.0465421\pi\) | |||||||
\(984\) | 6.52613 | + | 4.74151i | 0.208046 | + | 0.151154i | ||||
\(985\) | −2.32627 | − | 22.1330i | −0.0741212 | − | 0.705216i | ||||
\(986\) | 0.160220 | − | 0.277509i | 0.00510243 | − | 0.00883767i | ||||
\(987\) | −8.23512 | − | 14.2637i | −0.262127 | − | 0.454017i | ||||
\(988\) | −8.10992 | + | 5.89220i | −0.258011 | + | 0.187456i | ||||
\(989\) | −10.1990 | − | 11.3272i | −0.324311 | − | 0.360184i | ||||
\(990\) | 1.09969 | + | 3.38449i | 0.0349503 | + | 0.107566i | ||||
\(991\) | 46.8255 | 1.48746 | 0.743731 | − | 0.668479i | \(-0.233054\pi\) | ||||
0.743731 | + | 0.668479i | \(0.233054\pi\) | |||||||
\(992\) | 4.71374 | − | 2.96321i | 0.149661 | − | 0.0940821i | ||||
\(993\) | 8.50289 | 0.269831 | ||||||||
\(994\) | 8.61793 | + | 26.5233i | 0.273344 | + | 0.841267i | ||||
\(995\) | 6.44991 | + | 7.16335i | 0.204476 | + | 0.227094i | ||||
\(996\) | 7.88129 | − | 5.72610i | 0.249728 | − | 0.181438i | ||||
\(997\) | −14.6130 | − | 25.3105i | −0.462799 | − | 0.801592i | 0.536300 | − | 0.844028i | \(-0.319822\pi\) |
−0.999099 | + | 0.0424355i | \(0.986488\pi\) | |||||||
\(998\) | 16.6829 | − | 28.8957i | 0.528089 | − | 0.914677i | ||||
\(999\) | −0.656297 | − | 6.24425i | −0.0207643 | − | 0.197559i |
(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 | 930.2.bg.g.361.3 | ✓ | 24 | |
31.14 | even | 15 | inner | 930.2.bg.g.541.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.g.361.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
930.2.bg.g.541.3 | yes | 24 | 31.14 | even | 15 | inner |