Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(0.142315 + 0.989821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.49 |
Dual form | 138.2.e.c.31.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | 0.415415 | − | 0.909632i | 0.239840 | − | 0.525176i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 1.59283 | − | 1.83823i | 0.712337 | − | 0.822080i | −0.278027 | − | 0.960573i | \(-0.589680\pi\) |
0.990363 | + | 0.138493i | \(0.0442259\pi\) | |||||||
\(6\) | 0.959493 | + | 0.281733i | 0.391711 | + | 0.115017i | ||||
\(7\) | 1.56130 | − | 1.00339i | 0.590116 | − | 0.379245i | −0.211238 | − | 0.977435i | \(-0.567750\pi\) |
0.801354 | + | 0.598190i | \(0.204113\pi\) | |||||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 2.04620 | + | 1.31501i | 0.647065 | + | 0.415844i | ||||
\(11\) | −0.790323 | + | 5.49682i | −0.238291 | + | 1.65735i | 0.422188 | + | 0.906508i | \(0.361262\pi\) |
−0.660479 | + | 0.750844i | \(0.729647\pi\) | |||||||
\(12\) | −0.142315 | + | 0.989821i | −0.0410828 | + | 0.285737i | ||||
\(13\) | 0.966031 | + | 0.620830i | 0.267929 | + | 0.172187i | 0.667706 | − | 0.744425i | \(-0.267276\pi\) |
−0.399777 | + | 0.916612i | \(0.630913\pi\) | |||||||
\(14\) | 1.21537 | + | 1.40261i | 0.324821 | + | 0.374864i | ||||
\(15\) | −1.01042 | − | 2.21252i | −0.260890 | − | 0.571270i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −7.20366 | − | 2.11519i | −1.74714 | − | 0.513008i | −0.757043 | − | 0.653365i | \(-0.773357\pi\) |
−0.990101 | + | 0.140357i | \(0.955175\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | 4.29408 | − | 1.26086i | 0.985130 | − | 0.289260i | 0.250789 | − | 0.968042i | \(-0.419310\pi\) |
0.734340 | + | 0.678781i | \(0.237492\pi\) | |||||||
\(20\) | −1.01042 | + | 2.21252i | −0.225938 | + | 0.494734i | ||||
\(21\) | −0.264125 | − | 1.83703i | −0.0576368 | − | 0.400873i | ||||
\(22\) | −5.55334 | −1.18398 | ||||||||
\(23\) | −2.45093 | + | 4.12225i | −0.511054 | + | 0.859548i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.130388 | − | 0.906870i | −0.0260776 | − | 0.181374i | ||||
\(26\) | −0.477031 | + | 1.04455i | −0.0935534 | + | 0.204853i | ||||
\(27\) | −0.959493 | + | 0.281733i | −0.184655 | + | 0.0542195i | ||||
\(28\) | −1.21537 | + | 1.40261i | −0.229683 | + | 0.265069i | ||||
\(29\) | −2.81913 | − | 0.827771i | −0.523499 | − | 0.153713i | 0.00929715 | − | 0.999957i | \(-0.497041\pi\) |
−0.532796 | + | 0.846244i | \(0.678859\pi\) | |||||||
\(30\) | 2.04620 | − | 1.31501i | 0.373583 | − | 0.240087i | ||||
\(31\) | −0.863019 | − | 1.88975i | −0.155003 | − | 0.339409i | 0.816160 | − | 0.577826i | \(-0.196099\pi\) |
−0.971163 | + | 0.238417i | \(0.923371\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | 4.67177 | + | 3.00236i | 0.813251 | + | 0.522644i | ||||
\(34\) | 1.06847 | − | 7.43136i | 0.183241 | − | 1.27447i | ||||
\(35\) | 0.642438 | − | 4.46825i | 0.108592 | − | 0.755273i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | −5.06718 | − | 5.84784i | −0.833039 | − | 0.961379i | 0.166657 | − | 0.986015i | \(-0.446703\pi\) |
−0.999696 | + | 0.0246361i | \(0.992157\pi\) | |||||||
\(38\) | 1.85913 | + | 4.07093i | 0.301591 | + | 0.660393i | ||||
\(39\) | 0.966031 | − | 0.620830i | 0.154689 | − | 0.0994124i | ||||
\(40\) | −2.33380 | − | 0.685265i | −0.369006 | − | 0.108350i | ||||
\(41\) | −0.450833 | + | 0.520289i | −0.0704083 | + | 0.0812555i | −0.789861 | − | 0.613286i | \(-0.789847\pi\) |
0.719453 | + | 0.694542i | \(0.244393\pi\) | |||||||
\(42\) | 1.78074 | − | 0.522874i | 0.274775 | − | 0.0806811i | ||||
\(43\) | −3.55862 | + | 7.79229i | −0.542684 | + | 1.18831i | 0.417431 | + | 0.908709i | \(0.362931\pi\) |
−0.960115 | + | 0.279604i | \(0.909797\pi\) | |||||||
\(44\) | −0.790323 | − | 5.49682i | −0.119146 | − | 0.828676i | ||||
\(45\) | −2.43232 | −0.362589 | ||||||||
\(46\) | −4.42909 | − | 1.83933i | −0.653034 | − | 0.271194i | ||||
\(47\) | 7.09992 | 1.03563 | 0.517815 | − | 0.855493i | \(-0.326746\pi\) | ||||
0.517815 | + | 0.855493i | \(0.326746\pi\) | |||||||
\(48\) | −0.142315 | − | 0.989821i | −0.0205414 | − | 0.142868i | ||||
\(49\) | −1.47703 | + | 3.23425i | −0.211004 | + | 0.462035i | ||||
\(50\) | 0.879083 | − | 0.258122i | 0.124321 | − | 0.0365040i | ||||
\(51\) | −4.91655 | + | 5.67400i | −0.688455 | + | 0.794519i | ||||
\(52\) | −1.10181 | − | 0.323520i | −0.152793 | − | 0.0448641i | ||||
\(53\) | 4.53311 | − | 2.91326i | 0.622671 | − | 0.400166i | −0.190919 | − | 0.981606i | \(-0.561147\pi\) |
0.813590 | + | 0.581439i | \(0.197510\pi\) | |||||||
\(54\) | −0.415415 | − | 0.909632i | −0.0565308 | − | 0.123785i | ||||
\(55\) | 8.84555 | + | 10.2083i | 1.19273 | + | 1.37649i | ||||
\(56\) | −1.56130 | − | 1.00339i | −0.208638 | − | 0.134083i | ||||
\(57\) | 0.636911 | − | 4.42981i | 0.0843609 | − | 0.586743i | ||||
\(58\) | 0.418141 | − | 2.90824i | 0.0549047 | − | 0.381870i | ||||
\(59\) | −3.39399 | − | 2.18119i | −0.441860 | − | 0.283966i | 0.300734 | − | 0.953708i | \(-0.402768\pi\) |
−0.742594 | + | 0.669742i | \(0.766405\pi\) | |||||||
\(60\) | 1.59283 | + | 1.83823i | 0.205634 | + | 0.237314i | ||||
\(61\) | −0.157543 | − | 0.344971i | −0.0201713 | − | 0.0441690i | 0.899278 | − | 0.437377i | \(-0.144092\pi\) |
−0.919450 | + | 0.393208i | \(0.871365\pi\) | |||||||
\(62\) | 1.74769 | − | 1.12317i | 0.221957 | − | 0.142643i | ||||
\(63\) | −1.78074 | − | 0.522874i | −0.224353 | − | 0.0658759i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 2.67995 | − | 0.786905i | 0.332407 | − | 0.0976036i | ||||
\(66\) | −2.30694 | + | 5.05150i | −0.283965 | + | 0.621796i | ||||
\(67\) | −0.420243 | − | 2.92285i | −0.0513408 | − | 0.357083i | −0.999256 | − | 0.0385611i | \(-0.987723\pi\) |
0.947915 | − | 0.318522i | \(-0.103187\pi\) | |||||||
\(68\) | 7.50778 | 0.910452 | ||||||||
\(69\) | 2.73158 | + | 3.94189i | 0.328843 | + | 0.474548i | ||||
\(70\) | 4.51420 | 0.539550 | ||||||||
\(71\) | 2.14473 | + | 14.9169i | 0.254532 | + | 1.77031i | 0.570264 | + | 0.821462i | \(0.306841\pi\) |
−0.315731 | + | 0.948849i | \(0.602250\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | 11.0242 | − | 3.23701i | 1.29029 | − | 0.378863i | 0.436605 | − | 0.899653i | \(-0.356181\pi\) |
0.853685 | + | 0.520790i | \(0.174363\pi\) | |||||||
\(74\) | 5.06718 | − | 5.84784i | 0.589048 | − | 0.679797i | ||||
\(75\) | −0.879083 | − | 0.258122i | −0.101508 | − | 0.0298054i | ||||
\(76\) | −3.76492 | + | 2.41956i | −0.431866 | + | 0.277543i | ||||
\(77\) | 4.28150 | + | 9.37518i | 0.487923 | + | 1.06840i | ||||
\(78\) | 0.751992 | + | 0.867845i | 0.0851463 | + | 0.0982640i | ||||
\(79\) | 8.86394 | + | 5.69651i | 0.997272 | + | 0.640908i | 0.934069 | − | 0.357093i | \(-0.116232\pi\) |
0.0632029 | + | 0.998001i | \(0.479868\pi\) | |||||||
\(80\) | 0.346156 | − | 2.40757i | 0.0387014 | − | 0.269174i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −0.579153 | − | 0.372199i | −0.0639568 | − | 0.0411025i | ||||
\(83\) | −6.84228 | − | 7.89641i | −0.751037 | − | 0.866743i | 0.243631 | − | 0.969868i | \(-0.421661\pi\) |
−0.994668 | + | 0.103125i | \(0.967116\pi\) | |||||||
\(84\) | 0.770978 | + | 1.68821i | 0.0841206 | + | 0.184198i | ||||
\(85\) | −15.3624 | + | 9.87283i | −1.66629 | + | 1.07086i | ||||
\(86\) | −8.21942 | − | 2.41344i | −0.886323 | − | 0.260248i | ||||
\(87\) | −1.92408 | + | 2.22050i | −0.206283 | + | 0.238063i | ||||
\(88\) | 5.32839 | − | 1.56456i | 0.568009 | − | 0.166782i | ||||
\(89\) | 4.47642 | − | 9.80199i | 0.474499 | − | 1.03901i | −0.509440 | − | 0.860506i | \(-0.670147\pi\) |
0.983939 | − | 0.178502i | \(-0.0571252\pi\) | |||||||
\(90\) | −0.346156 | − | 2.40757i | −0.0364880 | − | 0.253780i | ||||
\(91\) | 2.13120 | 0.223410 | ||||||||
\(92\) | 1.19028 | − | 4.64578i | 0.124095 | − | 0.484356i | ||||
\(93\) | −2.07749 | −0.215425 | ||||||||
\(94\) | 1.01042 | + | 7.02765i | 0.104217 | + | 0.724847i | ||||
\(95\) | 4.52201 | − | 9.90183i | 0.463949 | − | 1.01591i | ||||
\(96\) | 0.959493 | − | 0.281733i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | 6.51094 | − | 7.51402i | 0.661085 | − | 0.762933i | −0.321869 | − | 0.946784i | \(-0.604311\pi\) |
0.982954 | + | 0.183851i | \(0.0588564\pi\) | |||||||
\(98\) | −3.41153 | − | 1.00172i | −0.344616 | − | 0.101189i | ||||
\(99\) | 4.67177 | − | 3.00236i | 0.469530 | − | 0.301749i | ||||
\(100\) | 0.380601 | + | 0.833401i | 0.0380601 | + | 0.0833401i | ||||
\(101\) | 3.21670 | + | 3.71227i | 0.320074 | + | 0.369385i | 0.892871 | − | 0.450312i | \(-0.148687\pi\) |
−0.572797 | + | 0.819697i | \(0.694142\pi\) | |||||||
\(102\) | −6.31594 | − | 4.05901i | −0.625372 | − | 0.401902i | ||||
\(103\) | 1.11616 | − | 7.76307i | 0.109979 | − | 0.764918i | −0.857957 | − | 0.513721i | \(-0.828267\pi\) |
0.967936 | − | 0.251197i | \(-0.0808243\pi\) | |||||||
\(104\) | 0.163423 | − | 1.13663i | 0.0160250 | − | 0.111456i | ||||
\(105\) | −3.79759 | − | 2.44056i | −0.370607 | − | 0.238174i | ||||
\(106\) | 3.52873 | + | 4.07237i | 0.342741 | + | 0.395544i | ||||
\(107\) | −3.86497 | − | 8.46310i | −0.373641 | − | 0.818159i | −0.999276 | − | 0.0380435i | \(-0.987887\pi\) |
0.625635 | − | 0.780116i | \(-0.284840\pi\) | |||||||
\(108\) | 0.841254 | − | 0.540641i | 0.0809497 | − | 0.0520232i | ||||
\(109\) | −13.9016 | − | 4.08189i | −1.33153 | − | 0.390974i | −0.462893 | − | 0.886414i | \(-0.653188\pi\) |
−0.868642 | + | 0.495441i | \(0.835007\pi\) | |||||||
\(110\) | −8.84555 | + | 10.2083i | −0.843390 | + | 0.973324i | ||||
\(111\) | −7.42436 | + | 2.17999i | −0.704689 | + | 0.206916i | ||||
\(112\) | 0.770978 | − | 1.68821i | 0.0728506 | − | 0.159520i | ||||
\(113\) | −2.09266 | − | 14.5548i | −0.196861 | − | 1.36920i | −0.813322 | − | 0.581814i | \(-0.802343\pi\) |
0.616461 | − | 0.787385i | \(-0.288566\pi\) | |||||||
\(114\) | 4.47536 | 0.419156 | ||||||||
\(115\) | 3.67371 | + | 11.0714i | 0.342575 | + | 1.03242i | ||||
\(116\) | 2.93814 | 0.272800 | ||||||||
\(117\) | −0.163423 | − | 1.13663i | −0.0151085 | − | 0.105082i | ||||
\(118\) | 1.67597 | − | 3.66986i | 0.154285 | − | 0.337838i | ||||
\(119\) | −13.3694 | + | 3.92562i | −1.22557 | + | 0.359861i | ||||
\(120\) | −1.59283 | + | 1.83823i | −0.145405 | + | 0.167806i | ||||
\(121\) | −19.0360 | − | 5.58946i | −1.73054 | − | 0.508133i | ||||
\(122\) | 0.319039 | − | 0.205034i | 0.0288844 | − | 0.0185629i | ||||
\(123\) | 0.285989 | + | 0.626228i | 0.0257867 | + | 0.0564651i | ||||
\(124\) | 1.36046 | + | 1.57006i | 0.122173 | + | 0.140996i | ||||
\(125\) | 8.35628 | + | 5.37026i | 0.747409 | + | 0.480330i | ||||
\(126\) | 0.264125 | − | 1.83703i | 0.0235301 | − | 0.163656i | ||||
\(127\) | −0.987167 | + | 6.86590i | −0.0875969 | + | 0.609250i | 0.897982 | + | 0.440033i | \(0.145033\pi\) |
−0.985579 | + | 0.169217i | \(0.945876\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | 5.60981 | + | 6.47407i | 0.493916 | + | 0.570010i | ||||
\(130\) | 1.16029 | + | 2.54069i | 0.101764 | + | 0.222833i | ||||
\(131\) | 2.85424 | − | 1.83431i | 0.249376 | − | 0.160264i | −0.409981 | − | 0.912094i | \(-0.634465\pi\) |
0.659357 | + | 0.751830i | \(0.270828\pi\) | |||||||
\(132\) | −5.32839 | − | 1.56456i | −0.463777 | − | 0.136177i | ||||
\(133\) | 5.43923 | − | 6.27720i | 0.471641 | − | 0.544302i | ||||
\(134\) | 2.83329 | − | 0.831930i | 0.244759 | − | 0.0718678i | ||||
\(135\) | −1.01042 | + | 2.21252i | −0.0869634 | + | 0.190423i | ||||
\(136\) | 1.06847 | + | 7.43136i | 0.0916204 | + | 0.637234i | ||||
\(137\) | 9.21973 | 0.787695 | 0.393847 | − | 0.919176i | \(-0.371144\pi\) | ||||
0.393847 | + | 0.919176i | \(0.371144\pi\) | |||||||
\(138\) | −3.51302 | + | 3.26476i | −0.299048 | + | 0.277915i | ||||
\(139\) | −13.4691 | −1.14244 | −0.571218 | − | 0.820798i | \(-0.693529\pi\) | ||||
−0.571218 | + | 0.820798i | \(0.693529\pi\) | |||||||
\(140\) | 0.642438 | + | 4.46825i | 0.0542959 | + | 0.377636i | ||||
\(141\) | 2.94941 | − | 6.45831i | 0.248385 | − | 0.543888i | ||||
\(142\) | −14.4598 | + | 4.24579i | −1.21344 | + | 0.356299i | ||||
\(143\) | −4.17607 | + | 4.81944i | −0.349220 | + | 0.403022i | ||||
\(144\) | −0.959493 | − | 0.281733i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | −6.01203 | + | 3.86370i | −0.499272 | + | 0.320863i | ||||
\(146\) | 4.77297 | + | 10.4514i | 0.395014 | + | 0.864960i | ||||
\(147\) | 2.32839 | + | 2.68711i | 0.192043 | + | 0.221629i | ||||
\(148\) | 6.50945 | + | 4.18337i | 0.535074 | + | 0.343871i | ||||
\(149\) | 1.58769 | − | 11.0426i | 0.130068 | − | 0.904646i | −0.815392 | − | 0.578909i | \(-0.803479\pi\) |
0.945461 | − | 0.325737i | \(-0.105612\pi\) | |||||||
\(150\) | 0.130388 | − | 0.906870i | 0.0106462 | − | 0.0740456i | ||||
\(151\) | 12.8717 | + | 8.27212i | 1.04748 | + | 0.673176i | 0.946826 | − | 0.321746i | \(-0.104270\pi\) |
0.100656 | + | 0.994921i | \(0.467906\pi\) | |||||||
\(152\) | −2.93074 | − | 3.38226i | −0.237714 | − | 0.274337i | ||||
\(153\) | 3.11884 | + | 6.82931i | 0.252144 | + | 0.552117i | ||||
\(154\) | −8.67044 | + | 5.57215i | −0.698684 | + | 0.449017i | ||||
\(155\) | −4.84843 | − | 1.42363i | −0.389436 | − | 0.114349i | ||||
\(156\) | −0.751992 | + | 0.867845i | −0.0602075 | + | 0.0694832i | ||||
\(157\) | −2.71881 | + | 0.798314i | −0.216984 | + | 0.0637124i | −0.388418 | − | 0.921483i | \(-0.626978\pi\) |
0.171434 | + | 0.985196i | \(0.445160\pi\) | |||||||
\(158\) | −4.37706 | + | 9.58442i | −0.348220 | + | 0.762496i | ||||
\(159\) | −0.766867 | − | 5.33368i | −0.0608165 | − | 0.422988i | ||||
\(160\) | 2.43232 | 0.192292 | ||||||||
\(161\) | 0.309572 | + | 8.89530i | 0.0243977 | + | 0.701048i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −3.55284 | − | 24.7105i | −0.278280 | − | 1.93548i | −0.347055 | − | 0.937845i | \(-0.612818\pi\) |
0.0687756 | − | 0.997632i | \(-0.478091\pi\) | |||||||
\(164\) | 0.285989 | − | 0.626228i | 0.0223320 | − | 0.0489002i | ||||
\(165\) | 12.9604 | − | 3.80551i | 1.00896 | − | 0.296258i | ||||
\(166\) | 6.84228 | − | 7.89641i | 0.531064 | − | 0.612880i | ||||
\(167\) | −8.32792 | − | 2.44530i | −0.644434 | − | 0.189223i | −0.0568457 | − | 0.998383i | \(-0.518104\pi\) |
−0.587588 | + | 0.809160i | \(0.699923\pi\) | |||||||
\(168\) | −1.56130 | + | 1.00339i | −0.120457 | + | 0.0774130i | ||||
\(169\) | −4.85261 | − | 10.6257i | −0.373278 | − | 0.817364i | ||||
\(170\) | −11.9586 | − | 13.8010i | −0.917185 | − | 1.05849i | ||||
\(171\) | −3.76492 | − | 2.41956i | −0.287910 | − | 0.185029i | ||||
\(172\) | 1.21913 | − | 8.47922i | 0.0929577 | − | 0.646535i | ||||
\(173\) | −2.19552 | + | 15.2702i | −0.166922 | + | 1.16097i | 0.718277 | + | 0.695757i | \(0.244931\pi\) |
−0.885199 | + | 0.465212i | \(0.845978\pi\) | |||||||
\(174\) | −2.47172 | − | 1.58848i | −0.187381 | − | 0.120422i | ||||
\(175\) | −1.11352 | − | 1.28507i | −0.0841739 | − | 0.0971419i | ||||
\(176\) | 2.30694 | + | 5.05150i | 0.173892 | + | 0.380771i | ||||
\(177\) | −3.39399 | + | 2.18119i | −0.255108 | + | 0.163948i | ||||
\(178\) | 10.3393 | + | 3.03589i | 0.774962 | + | 0.227549i | ||||
\(179\) | 3.96185 | − | 4.57222i | 0.296123 | − | 0.341744i | −0.588118 | − | 0.808775i | \(-0.700131\pi\) |
0.884241 | + | 0.467031i | \(0.154676\pi\) | |||||||
\(180\) | 2.33380 | − | 0.685265i | 0.173951 | − | 0.0510766i | ||||
\(181\) | −2.60376 | + | 5.70144i | −0.193536 | + | 0.423784i | −0.981376 | − | 0.192095i | \(-0.938472\pi\) |
0.787841 | + | 0.615879i | \(0.211199\pi\) | |||||||
\(182\) | 0.303301 | + | 2.10951i | 0.0224822 | + | 0.156367i | ||||
\(183\) | −0.379242 | −0.0280344 | ||||||||
\(184\) | 4.76788 | + | 0.517000i | 0.351493 | + | 0.0381138i | ||||
\(185\) | −18.8208 | −1.38373 | ||||||||
\(186\) | −0.295657 | − | 2.05634i | −0.0216786 | − | 0.150778i | ||||
\(187\) | 17.3200 | − | 37.9255i | 1.26656 | − | 2.77339i | ||||
\(188\) | −6.81232 | + | 2.00028i | −0.496840 | + | 0.145885i | ||||
\(189\) | −1.21537 | + | 1.40261i | −0.0884052 | + | 0.102025i | ||||
\(190\) | 10.4446 | + | 3.06681i | 0.757730 | + | 0.222490i | ||||
\(191\) | 16.2287 | − | 10.4295i | 1.17427 | − | 0.754655i | 0.199942 | − | 0.979808i | \(-0.435924\pi\) |
0.974323 | + | 0.225153i | \(0.0722881\pi\) | |||||||
\(192\) | 0.415415 | + | 0.909632i | 0.0299800 | + | 0.0656470i | ||||
\(193\) | 16.9481 | + | 19.5591i | 1.21995 | + | 1.40790i | 0.884955 | + | 0.465677i | \(0.154189\pi\) |
0.334995 | + | 0.942220i | \(0.391265\pi\) | |||||||
\(194\) | 8.36414 | + | 5.37531i | 0.600510 | + | 0.385925i | ||||
\(195\) | 0.397498 | − | 2.76466i | 0.0284655 | − | 0.197982i | ||||
\(196\) | 0.506008 | − | 3.51936i | 0.0361434 | − | 0.251383i | ||||
\(197\) | 15.4650 | + | 9.93876i | 1.10184 | + | 0.708107i | 0.959499 | − | 0.281711i | \(-0.0909020\pi\) |
0.142337 | + | 0.989818i | \(0.454538\pi\) | |||||||
\(198\) | 3.63667 | + | 4.19694i | 0.258447 | + | 0.298263i | ||||
\(199\) | 3.59651 | + | 7.87525i | 0.254949 | + | 0.558262i | 0.993221 | − | 0.116242i | \(-0.0370849\pi\) |
−0.738271 | + | 0.674504i | \(0.764358\pi\) | |||||||
\(200\) | −0.770753 | + | 0.495333i | −0.0545004 | + | 0.0350253i | ||||
\(201\) | −2.83329 | − | 0.831930i | −0.199845 | − | 0.0586799i | ||||
\(202\) | −3.21670 | + | 3.71227i | −0.226326 | + | 0.261195i | ||||
\(203\) | −5.23208 | + | 1.53628i | −0.367220 | + | 0.107826i | ||||
\(204\) | 3.11884 | − | 6.82931i | 0.218363 | − | 0.478148i | ||||
\(205\) | 0.238308 | + | 1.65747i | 0.0166441 | + | 0.115762i | ||||
\(206\) | 7.84290 | 0.546441 | ||||||||
\(207\) | 4.72041 | − | 0.847210i | 0.328091 | − | 0.0588851i | ||||
\(208\) | 1.14832 | 0.0796219 | ||||||||
\(209\) | 3.53698 | + | 24.6003i | 0.244658 | + | 1.70164i | ||||
\(210\) | 1.87527 | − | 4.10626i | 0.129406 | − | 0.283359i | ||||
\(211\) | −13.3232 | + | 3.91206i | −0.917209 | + | 0.269317i | −0.706073 | − | 0.708140i | \(-0.749535\pi\) |
−0.211137 | + | 0.977457i | \(0.567717\pi\) | |||||||
\(212\) | −3.52873 | + | 4.07237i | −0.242354 | + | 0.279692i | ||||
\(213\) | 14.4598 | + | 4.24579i | 0.990772 | + | 0.290917i | ||||
\(214\) | 7.82692 | − | 5.03006i | 0.535037 | − | 0.343847i | ||||
\(215\) | 8.65571 | + | 18.9534i | 0.590315 | + | 1.29261i | ||||
\(216\) | 0.654861 | + | 0.755750i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | −3.24358 | − | 2.08452i | −0.220189 | − | 0.141507i | ||||
\(218\) | 2.06193 | − | 14.3410i | 0.139652 | − | 0.971298i | ||||
\(219\) | 1.63515 | − | 11.3727i | 0.110493 | − | 0.768496i | ||||
\(220\) | −11.3633 | − | 7.30272i | −0.766110 | − | 0.492349i | ||||
\(221\) | −5.64579 | − | 6.51558i | −0.379777 | − | 0.438286i | ||||
\(222\) | −3.21440 | − | 7.03855i | −0.215736 | − | 0.472397i | ||||
\(223\) | 3.18413 | − | 2.04631i | 0.213225 | − | 0.137031i | −0.429669 | − | 0.902986i | \(-0.641370\pi\) |
0.642894 | + | 0.765955i | \(0.277733\pi\) | |||||||
\(224\) | 1.78074 | + | 0.522874i | 0.118981 | + | 0.0349360i | ||||
\(225\) | −0.599980 | + | 0.692414i | −0.0399987 | + | 0.0461610i | ||||
\(226\) | 14.1088 | − | 4.14272i | 0.938505 | − | 0.275570i | ||||
\(227\) | 4.08445 | − | 8.94371i | 0.271095 | − | 0.593615i | −0.724299 | − | 0.689486i | \(-0.757836\pi\) |
0.995394 | + | 0.0958714i | \(0.0305638\pi\) | |||||||
\(228\) | 0.636911 | + | 4.42981i | 0.0421804 | + | 0.293371i | ||||
\(229\) | −19.7726 | −1.30661 | −0.653307 | − | 0.757093i | \(-0.726619\pi\) | ||||
−0.653307 | + | 0.757093i | \(0.726619\pi\) | |||||||
\(230\) | −10.4359 | + | 5.21194i | −0.688123 | + | 0.343665i | ||||
\(231\) | 10.3066 | 0.678122 | ||||||||
\(232\) | 0.418141 | + | 2.90824i | 0.0274523 | + | 0.190935i | ||||
\(233\) | −6.94406 | + | 15.2054i | −0.454921 | + | 0.996137i | 0.533695 | + | 0.845677i | \(0.320803\pi\) |
−0.988616 | + | 0.150460i | \(0.951924\pi\) | |||||||
\(234\) | 1.10181 | − | 0.323520i | 0.0720274 | − | 0.0211492i | ||||
\(235\) | 11.3090 | − | 13.0513i | 0.737717 | − | 0.851370i | ||||
\(236\) | 3.87102 | + | 1.13663i | 0.251982 | + | 0.0739886i | ||||
\(237\) | 8.86394 | − | 5.69651i | 0.575775 | − | 0.370028i | ||||
\(238\) | −5.78833 | − | 12.6747i | −0.375202 | − | 0.821577i | ||||
\(239\) | 5.60130 | + | 6.46424i | 0.362318 | + | 0.418137i | 0.907415 | − | 0.420236i | \(-0.138053\pi\) |
−0.545097 | + | 0.838373i | \(0.683507\pi\) | |||||||
\(240\) | −2.04620 | − | 1.31501i | −0.132082 | − | 0.0848837i | ||||
\(241\) | −3.00884 | + | 20.9269i | −0.193816 | + | 1.34802i | 0.627975 | + | 0.778234i | \(0.283884\pi\) |
−0.821791 | + | 0.569789i | \(0.807025\pi\) | |||||||
\(242\) | 2.82347 | − | 19.6377i | 0.181500 | − | 1.26236i | ||||
\(243\) | 0.841254 | + | 0.540641i | 0.0539664 | + | 0.0346821i | ||||
\(244\) | 0.248351 | + | 0.286612i | 0.0158990 | + | 0.0183485i | ||||
\(245\) | 3.59262 | + | 7.86673i | 0.229524 | + | 0.502587i | ||||
\(246\) | −0.579153 | + | 0.372199i | −0.0369255 | + | 0.0237306i | ||||
\(247\) | 4.93099 | + | 1.44787i | 0.313751 | + | 0.0921258i | ||||
\(248\) | −1.36046 | + | 1.57006i | −0.0863896 | + | 0.0996989i | ||||
\(249\) | −10.0252 | + | 2.94367i | −0.635322 | + | 0.186547i | ||||
\(250\) | −4.12637 | + | 9.03549i | −0.260975 | + | 0.571455i | ||||
\(251\) | 1.65048 | + | 11.4793i | 0.104177 | + | 0.724569i | 0.973227 | + | 0.229845i | \(0.0738218\pi\) |
−0.869050 | + | 0.494724i | \(0.835269\pi\) | |||||||
\(252\) | 1.85592 | 0.116912 | ||||||||
\(253\) | −20.7222 | − | 16.7302i | −1.30280 | − | 1.05182i | ||||
\(254\) | −6.93650 | −0.435235 | ||||||||
\(255\) | 2.59886 | + | 18.0755i | 0.162747 | + | 1.13193i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 8.10542 | − | 2.37997i | 0.505602 | − | 0.148458i | −0.0189768 | − | 0.999820i | \(-0.506041\pi\) |
0.524579 | + | 0.851362i | \(0.324223\pi\) | |||||||
\(258\) | −5.60981 | + | 6.47407i | −0.349252 | + | 0.403058i | ||||
\(259\) | −13.7790 | − | 4.04589i | −0.856188 | − | 0.251399i | ||||
\(260\) | −2.34970 | + | 1.51006i | −0.145722 | + | 0.0936499i | ||||
\(261\) | 1.22055 | + | 2.67263i | 0.0755501 | + | 0.165432i | ||||
\(262\) | 2.22184 | + | 2.56414i | 0.137266 | + | 0.158413i | ||||
\(263\) | −26.3237 | − | 16.9172i | −1.62319 | − | 1.04316i | −0.953884 | − | 0.300175i | \(-0.902955\pi\) |
−0.669307 | − | 0.742986i | \(-0.733409\pi\) | |||||||
\(264\) | 0.790323 | − | 5.49682i | 0.0486410 | − | 0.338306i | ||||
\(265\) | 1.86527 | − | 12.9732i | 0.114582 | − | 0.796939i | ||||
\(266\) | 6.98739 | + | 4.49052i | 0.428424 | + | 0.275332i | ||||
\(267\) | −7.05663 | − | 8.14379i | −0.431859 | − | 0.498392i | ||||
\(268\) | 1.22668 | + | 2.68606i | 0.0749316 | + | 0.164077i | ||||
\(269\) | −7.78907 | + | 5.00573i | −0.474908 | + | 0.305205i | −0.756111 | − | 0.654443i | \(-0.772903\pi\) |
0.281203 | + | 0.959648i | \(0.409267\pi\) | |||||||
\(270\) | −2.33380 | − | 0.685265i | −0.142030 | − | 0.0417039i | ||||
\(271\) | −10.7864 | + | 12.4482i | −0.655228 | + | 0.756173i | −0.981990 | − | 0.188933i | \(-0.939497\pi\) |
0.326762 | + | 0.945107i | \(0.394042\pi\) | |||||||
\(272\) | −7.20366 | + | 2.11519i | −0.436786 | + | 0.128252i | ||||
\(273\) | 0.885331 | − | 1.93861i | 0.0535827 | − | 0.117330i | ||||
\(274\) | 1.31210 | + | 9.12588i | 0.0792671 | + | 0.551315i | ||||
\(275\) | 5.08795 | 0.306815 | ||||||||
\(276\) | −3.73149 | − | 3.01264i | −0.224609 | − | 0.181340i | ||||
\(277\) | 29.2151 | 1.75537 | 0.877684 | − | 0.479240i | \(-0.159088\pi\) | ||||
0.877684 | + | 0.479240i | \(0.159088\pi\) | |||||||
\(278\) | −1.91686 | − | 13.3320i | −0.114965 | − | 0.799602i | ||||
\(279\) | −0.863019 | + | 1.88975i | −0.0516676 | + | 0.113136i | ||||
\(280\) | −4.33134 | + | 1.27180i | −0.258847 | + | 0.0760044i | ||||
\(281\) | −7.87921 | + | 9.09310i | −0.470034 | + | 0.542449i | −0.940421 | − | 0.340012i | \(-0.889569\pi\) |
0.470387 | + | 0.882460i | \(0.344114\pi\) | |||||||
\(282\) | 6.81232 | + | 2.00028i | 0.405668 | + | 0.119115i | ||||
\(283\) | −8.64671 | + | 5.55691i | −0.513994 | + | 0.330324i | −0.771792 | − | 0.635875i | \(-0.780639\pi\) |
0.257798 | + | 0.966199i | \(0.417003\pi\) | |||||||
\(284\) | −6.26043 | − | 13.7084i | −0.371488 | − | 0.813445i | ||||
\(285\) | −7.12851 | − | 8.22674i | −0.422256 | − | 0.487310i | ||||
\(286\) | −5.36470 | − | 3.44768i | −0.317221 | − | 0.203866i | ||||
\(287\) | −0.181835 | + | 1.26469i | −0.0107334 | + | 0.0746521i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | 33.1174 | + | 21.2833i | 1.94808 | + | 1.25196i | ||||
\(290\) | −4.67997 | − | 5.40098i | −0.274817 | − | 0.317156i | ||||
\(291\) | −4.13025 | − | 9.04399i | −0.242120 | − | 0.530168i | ||||
\(292\) | −9.66571 | + | 6.21177i | −0.565643 | + | 0.363517i | ||||
\(293\) | 0.242114 | + | 0.0710912i | 0.0141445 | + | 0.00415319i | 0.288797 | − | 0.957390i | \(-0.406745\pi\) |
−0.274653 | + | 0.961544i | \(0.588563\pi\) | |||||||
\(294\) | −2.32839 | + | 2.68711i | −0.135795 | + | 0.156715i | ||||
\(295\) | −9.41558 | + | 2.76466i | −0.548196 | + | 0.160965i | ||||
\(296\) | −3.21440 | + | 7.03855i | −0.186833 | + | 0.409107i | ||||
\(297\) | −0.790323 | − | 5.49682i | −0.0458592 | − | 0.318958i | ||||
\(298\) | 11.1562 | 0.646259 | ||||||||
\(299\) | −4.92689 | + | 2.46061i | −0.284929 | + | 0.142301i | ||||
\(300\) | 0.916195 | 0.0528966 | ||||||||
\(301\) | 2.26261 | + | 15.7368i | 0.130414 | + | 0.907053i | ||||
\(302\) | −6.35609 | + | 13.9179i | −0.365752 | + | 0.800885i | ||||
\(303\) | 4.71307 | − | 1.38388i | 0.270759 | − | 0.0795019i | ||||
\(304\) | 2.93074 | − | 3.38226i | 0.168090 | − | 0.193986i | ||||
\(305\) | −0.885075 | − | 0.259881i | −0.0506792 | − | 0.0148808i | ||||
\(306\) | −6.31594 | + | 4.05901i | −0.361059 | + | 0.232038i | ||||
\(307\) | −0.121406 | − | 0.265842i | −0.00692900 | − | 0.0151724i | 0.906136 | − | 0.422987i | \(-0.139018\pi\) |
−0.913065 | + | 0.407814i | \(0.866291\pi\) | |||||||
\(308\) | −6.74937 | − | 7.78919i | −0.384581 | − | 0.443830i | ||||
\(309\) | −6.59787 | − | 4.24019i | −0.375340 | − | 0.241216i | ||||
\(310\) | 0.719134 | − | 5.00169i | 0.0408441 | − | 0.284077i | ||||
\(311\) | 1.28912 | − | 8.96601i | 0.0730991 | − | 0.508416i | −0.920072 | − | 0.391749i | \(-0.871870\pi\) |
0.993171 | − | 0.116666i | \(-0.0372208\pi\) | |||||||
\(312\) | −0.966031 | − | 0.620830i | −0.0546907 | − | 0.0351476i | ||||
\(313\) | −3.74536 | − | 4.32238i | −0.211700 | − | 0.244315i | 0.639961 | − | 0.768407i | \(-0.278950\pi\) |
−0.851662 | + | 0.524092i | \(0.824405\pi\) | |||||||
\(314\) | −1.17711 | − | 2.57752i | −0.0664284 | − | 0.145458i | ||||
\(315\) | −3.79759 | + | 2.44056i | −0.213970 | + | 0.137510i | ||||
\(316\) | −10.1098 | − | 2.96850i | −0.568720 | − | 0.166991i | ||||
\(317\) | 11.9911 | − | 13.8385i | 0.673487 | − | 0.777245i | −0.311431 | − | 0.950269i | \(-0.600808\pi\) |
0.984918 | + | 0.173024i | \(0.0553537\pi\) | |||||||
\(318\) | 5.17025 | − | 1.51812i | 0.289933 | − | 0.0851321i | ||||
\(319\) | 6.77813 | − | 14.8420i | 0.379502 | − | 0.830994i | ||||
\(320\) | 0.346156 | + | 2.40757i | 0.0193507 | + | 0.134587i | ||||
\(321\) | −9.30388 | −0.519292 | ||||||||
\(322\) | −8.76071 | + | 1.57236i | −0.488215 | + | 0.0876239i | ||||
\(323\) | −33.6000 | −1.86956 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 0.437053 | − | 0.957013i | 0.0242434 | − | 0.0530855i | ||||
\(326\) | 23.9534 | − | 7.03335i | 1.32665 | − | 0.389541i | ||||
\(327\) | −9.48796 | + | 10.9497i | −0.524685 | + | 0.605519i | ||||
\(328\) | 0.660554 | + | 0.193956i | 0.0364730 | + | 0.0107094i | ||||
\(329\) | 11.0851 | − | 7.12396i | 0.611142 | − | 0.392757i | ||||
\(330\) | 5.61123 | + | 12.2869i | 0.308888 | + | 0.676370i | ||||
\(331\) | 0.756224 | + | 0.872729i | 0.0415658 | + | 0.0479695i | 0.776152 | − | 0.630546i | \(-0.217169\pi\) |
−0.734586 | + | 0.678516i | \(0.762624\pi\) | |||||||
\(332\) | 8.78979 | + | 5.64886i | 0.482402 | + | 0.310021i | ||||
\(333\) | −1.10120 | + | 7.65904i | −0.0603456 | + | 0.419713i | ||||
\(334\) | 1.23522 | − | 8.59116i | 0.0675883 | − | 0.470087i | ||||
\(335\) | −6.04224 | − | 3.88311i | −0.330123 | − | 0.212157i | ||||
\(336\) | −1.21537 | − | 1.40261i | −0.0663039 | − | 0.0765188i | ||||
\(337\) | −6.90165 | − | 15.1125i | −0.375957 | − | 0.823230i | −0.999152 | − | 0.0411644i | \(-0.986893\pi\) |
0.623196 | − | 0.782066i | \(-0.285834\pi\) | |||||||
\(338\) | 9.82698 | − | 6.31542i | 0.534517 | − | 0.343513i | ||||
\(339\) | −14.1088 | − | 4.14272i | −0.766286 | − | 0.225002i | ||||
\(340\) | 11.9586 | − | 13.8010i | 0.648548 | − | 0.748464i | ||||
\(341\) | 11.0697 | − | 3.25035i | 0.599456 | − | 0.176016i | ||||
\(342\) | 1.85913 | − | 4.07093i | 0.100530 | − | 0.220131i | ||||
\(343\) | 2.78799 | + | 19.3909i | 0.150537 | + | 1.04701i | ||||
\(344\) | 8.56642 | 0.461870 | ||||||||
\(345\) | 11.5970 | + | 1.25751i | 0.624363 | + | 0.0677022i | ||||
\(346\) | −15.4272 | −0.829371 | ||||||||
\(347\) | 0.0186228 | + | 0.129524i | 0.000999725 | + | 0.00695324i | 0.990315 | − | 0.138837i | \(-0.0443365\pi\) |
−0.989315 | + | 0.145791i | \(0.953427\pi\) | |||||||
\(348\) | 1.22055 | − | 2.67263i | 0.0654283 | − | 0.143268i | ||||
\(349\) | −17.9308 | + | 5.26496i | −0.959815 | + | 0.281827i | −0.723868 | − | 0.689939i | \(-0.757637\pi\) |
−0.235947 | + | 0.971766i | \(0.575819\pi\) | |||||||
\(350\) | 1.11352 | − | 1.28507i | 0.0595200 | − | 0.0686897i | ||||
\(351\) | −1.10181 | − | 0.323520i | −0.0588102 | − | 0.0172682i | ||||
\(352\) | −4.67177 | + | 3.00236i | −0.249006 | + | 0.160027i | ||||
\(353\) | −13.6597 | − | 29.9105i | −0.727031 | − | 1.59198i | −0.803781 | − | 0.594925i | \(-0.797182\pi\) |
0.0767505 | − | 0.997050i | \(-0.475546\pi\) | |||||||
\(354\) | −2.64200 | − | 3.04903i | −0.140421 | − | 0.162054i | ||||
\(355\) | 30.8368 | + | 19.8176i | 1.63665 | + | 1.05181i | ||||
\(356\) | −1.53355 | + | 10.6661i | −0.0812781 | + | 0.565302i | ||||
\(357\) | −1.98299 | + | 13.7920i | −0.104951 | + | 0.729951i | ||||
\(358\) | 5.08951 | + | 3.27083i | 0.268989 | + | 0.172869i | ||||
\(359\) | −4.29811 | − | 4.96028i | −0.226845 | − | 0.261793i | 0.630905 | − | 0.775860i | \(-0.282684\pi\) |
−0.857750 | + | 0.514067i | \(0.828138\pi\) | |||||||
\(360\) | 1.01042 | + | 2.21252i | 0.0532540 | + | 0.116610i | ||||
\(361\) | 0.865557 | − | 0.556260i | 0.0455556 | − | 0.0292768i | ||||
\(362\) | −6.01396 | − | 1.76586i | −0.316087 | − | 0.0928114i | ||||
\(363\) | −12.9922 | + | 14.9938i | −0.681913 | + | 0.786969i | ||||
\(364\) | −2.04487 | + | 0.600428i | −0.107180 | + | 0.0314710i | ||||
\(365\) | 11.6094 | − | 25.4211i | 0.607664 | − | 1.33060i | ||||
\(366\) | −0.0539718 | − | 0.375382i | −0.00282115 | − | 0.0196215i | ||||
\(367\) | −15.7482 | −0.822052 | −0.411026 | − | 0.911624i | \(-0.634829\pi\) | ||||
−0.411026 | + | 0.911624i | \(0.634829\pi\) | |||||||
\(368\) | 0.166803 | + | 4.79293i | 0.00869518 | + | 0.249849i | ||||
\(369\) | 0.688441 | 0.0358388 | ||||||||
\(370\) | −2.67848 | − | 18.6293i | −0.139248 | − | 0.968489i | ||||
\(371\) | 4.15443 | − | 9.09694i | 0.215687 | − | 0.472289i | ||||
\(372\) | 1.99333 | − | 0.585296i | 0.103350 | − | 0.0303462i | ||||
\(373\) | −10.5690 | + | 12.1973i | −0.547243 | + | 0.631552i | −0.960238 | − | 0.279181i | \(-0.909937\pi\) |
0.412996 | + | 0.910733i | \(0.364482\pi\) | |||||||
\(374\) | 40.0044 | + | 11.7463i | 2.06858 | + | 0.607389i | ||||
\(375\) | 8.35628 | − | 5.37026i | 0.431517 | − | 0.277319i | ||||
\(376\) | −2.94941 | − | 6.45831i | −0.152104 | − | 0.333062i | ||||
\(377\) | −2.20946 | − | 2.54985i | −0.113793 | − | 0.131324i | ||||
\(378\) | −1.56130 | − | 1.00339i | −0.0803046 | − | 0.0516087i | ||||
\(379\) | −3.02940 | + | 21.0699i | −0.155610 | + | 1.08229i | 0.750995 | + | 0.660308i | \(0.229574\pi\) |
−0.906605 | + | 0.421981i | \(0.861335\pi\) | |||||||
\(380\) | −1.54917 | + | 10.7747i | −0.0794709 | + | 0.552732i | ||||
\(381\) | 5.83536 | + | 3.75016i | 0.298954 | + | 0.192126i | ||||
\(382\) | 12.6330 | + | 14.5792i | 0.646359 | + | 0.745938i | ||||
\(383\) | 11.1739 | + | 24.4675i | 0.570961 | + | 1.25023i | 0.946284 | + | 0.323336i | \(0.104804\pi\) |
−0.375323 | + | 0.926894i | \(0.622468\pi\) | |||||||
\(384\) | −0.841254 | + | 0.540641i | −0.0429300 | + | 0.0275895i | ||||
\(385\) | 24.0534 | + | 7.06273i | 1.22588 | + | 0.359950i | ||||
\(386\) | −16.9481 | + | 19.5591i | −0.862635 | + | 0.995534i | ||||
\(387\) | 8.21942 | − | 2.41344i | 0.417816 | − | 0.122682i | ||||
\(388\) | −4.13025 | + | 9.04399i | −0.209682 | + | 0.459139i | ||||
\(389\) | −4.15477 | − | 28.8971i | −0.210655 | − | 1.46514i | −0.770977 | − | 0.636864i | \(-0.780231\pi\) |
0.560321 | − | 0.828275i | \(-0.310678\pi\) | |||||||
\(390\) | 2.79309 | 0.141434 | ||||||||
\(391\) | 26.3750 | − | 24.5111i | 1.33384 | − | 1.23958i | ||||
\(392\) | 3.55555 | 0.179583 | ||||||||
\(393\) | −0.482852 | − | 3.35831i | −0.0243566 | − | 0.169404i | ||||
\(394\) | −7.63669 | + | 16.7220i | −0.384731 | + | 0.842444i | ||||
\(395\) | 24.5903 | − | 7.22035i | 1.23727 | − | 0.363295i | ||||
\(396\) | −3.63667 | + | 4.19694i | −0.182749 | + | 0.210904i | ||||
\(397\) | 2.07632 | + | 0.609661i | 0.104207 | + | 0.0305980i | 0.333421 | − | 0.942778i | \(-0.391797\pi\) |
−0.229213 | + | 0.973376i | \(0.573615\pi\) | |||||||
\(398\) | −7.28325 | + | 4.68066i | −0.365076 | + | 0.234620i | ||||
\(399\) | −3.45041 | − | 7.55534i | −0.172736 | − | 0.378240i | ||||
\(400\) | −0.599980 | − | 0.692414i | −0.0299990 | − | 0.0346207i | ||||
\(401\) | −5.73614 | − | 3.68639i | −0.286449 | − | 0.184090i | 0.389523 | − | 0.921017i | \(-0.372640\pi\) |
−0.675972 | + | 0.736927i | \(0.736276\pi\) | |||||||
\(402\) | 0.420243 | − | 2.92285i | 0.0209598 | − | 0.145779i | ||||
\(403\) | 0.339510 | − | 2.36134i | 0.0169122 | − | 0.117627i | ||||
\(404\) | −4.13227 | − | 2.65565i | −0.205588 | − | 0.132123i | ||||
\(405\) | 1.59283 | + | 1.83823i | 0.0791485 | + | 0.0913422i | ||||
\(406\) | −2.26524 | − | 4.96019i | −0.112422 | − | 0.246170i | ||||
\(407\) | 36.1492 | − | 23.2317i | 1.79185 | − | 1.15155i | ||||
\(408\) | 7.20366 | + | 2.11519i | 0.356634 | + | 0.104717i | ||||
\(409\) | 8.43702 | − | 9.73684i | 0.417184 | − | 0.481456i | −0.507793 | − | 0.861479i | \(-0.669539\pi\) |
0.924977 | + | 0.380023i | \(0.124084\pi\) | |||||||
\(410\) | −1.60668 | + | 0.471764i | −0.0793483 | + | 0.0232988i | ||||
\(411\) | 3.83001 | − | 8.38656i | 0.188921 | − | 0.413678i | ||||
\(412\) | 1.11616 | + | 7.76307i | 0.0549893 | + | 0.382459i | ||||
\(413\) | −7.48762 | −0.368441 | ||||||||
\(414\) | 1.51037 | + | 4.55179i | 0.0742306 | + | 0.223708i | ||||
\(415\) | −25.4140 | −1.24752 | ||||||||
\(416\) | 0.163423 | + | 1.13663i | 0.00801249 | + | 0.0557281i | ||||
\(417\) | −5.59527 | + | 12.2519i | −0.274002 | + | 0.599980i | ||||
\(418\) | −23.8465 | + | 7.00196i | −1.16637 | + | 0.342477i | ||||
\(419\) | −4.88423 | + | 5.63670i | −0.238610 | + | 0.275371i | −0.862407 | − | 0.506216i | \(-0.831044\pi\) |
0.623797 | + | 0.781587i | \(0.285589\pi\) | |||||||
\(420\) | 4.33134 | + | 1.27180i | 0.211348 | + | 0.0620574i | ||||
\(421\) | 0.720254 | − | 0.462879i | 0.0351030 | − | 0.0225594i | −0.522972 | − | 0.852350i | \(-0.675177\pi\) |
0.558075 | + | 0.829791i | \(0.311540\pi\) | |||||||
\(422\) | −5.76833 | − | 12.6309i | −0.280798 | − | 0.614862i | ||||
\(423\) | −4.64946 | − | 5.36576i | −0.226064 | − | 0.260892i | ||||
\(424\) | −4.53311 | − | 2.91326i | −0.220147 | − | 0.141480i | ||||
\(425\) | −0.978926 | + | 6.80858i | −0.0474849 | + | 0.330264i | ||||
\(426\) | −2.14473 | + | 14.9169i | −0.103912 | + | 0.722726i | ||||
\(427\) | −0.592111 | − | 0.380527i | −0.0286543 | − | 0.0184150i | ||||
\(428\) | 6.09274 | + | 7.03140i | 0.294504 | + | 0.339876i | ||||
\(429\) | 2.64911 | + | 5.80075i | 0.127900 | + | 0.280063i | ||||
\(430\) | −17.5286 | + | 11.2650i | −0.845304 | + | 0.543244i | ||||
\(431\) | 25.9406 | + | 7.61686i | 1.24952 | + | 0.366891i | 0.838583 | − | 0.544774i | \(-0.183385\pi\) |
0.410934 | + | 0.911665i | \(0.365203\pi\) | |||||||
\(432\) | −0.654861 | + | 0.755750i | −0.0315070 | + | 0.0363610i | ||||
\(433\) | 20.9024 | − | 6.13751i | 1.00451 | − | 0.294950i | 0.262203 | − | 0.965013i | \(-0.415551\pi\) |
0.742304 | + | 0.670063i | \(0.233733\pi\) | |||||||
\(434\) | 1.60170 | − | 3.50723i | 0.0768839 | − | 0.168352i | ||||
\(435\) | 1.01706 | + | 7.07377i | 0.0487641 | + | 0.339162i | ||||
\(436\) | 14.4885 | 0.693874 | ||||||||
\(437\) | −5.32693 | + | 20.7915i | −0.254822 | + | 0.994594i | ||||
\(438\) | 11.4896 | 0.548997 | ||||||||
\(439\) | −2.15413 | − | 14.9823i | −0.102811 | − | 0.715067i | −0.974399 | − | 0.224827i | \(-0.927818\pi\) |
0.871588 | − | 0.490240i | \(-0.163091\pi\) | |||||||
\(440\) | 5.61123 | − | 12.2869i | 0.267505 | − | 0.585754i | ||||
\(441\) | 3.41153 | − | 1.00172i | 0.162454 | − | 0.0477007i | ||||
\(442\) | 5.64579 | − | 6.51558i | 0.268543 | − | 0.309915i | ||||
\(443\) | 14.6455 | + | 4.30031i | 0.695829 | + | 0.204314i | 0.610474 | − | 0.792037i | \(-0.290979\pi\) |
0.0853558 | + | 0.996351i | \(0.472797\pi\) | |||||||
\(444\) | 6.50945 | − | 4.18337i | 0.308925 | − | 0.198534i | ||||
\(445\) | −10.8881 | − | 23.8416i | −0.516145 | − | 1.13020i | ||||
\(446\) | 2.47863 | + | 2.86050i | 0.117367 | + | 0.135448i | ||||
\(447\) | −9.38516 | − | 6.03148i | −0.443903 | − | 0.285279i | ||||
\(448\) | −0.264125 | + | 1.83703i | −0.0124787 | + | 0.0867916i | ||||
\(449\) | −4.03517 | + | 28.0652i | −0.190432 | + | 1.32448i | 0.640436 | + | 0.768011i | \(0.278753\pi\) |
−0.830868 | + | 0.556470i | \(0.812156\pi\) | |||||||
\(450\) | −0.770753 | − | 0.495333i | −0.0363336 | − | 0.0233502i | ||||
\(451\) | −2.50363 | − | 2.88934i | −0.117891 | − | 0.136054i | ||||
\(452\) | 6.10845 | + | 13.3756i | 0.287317 | + | 0.629137i | ||||
\(453\) | 12.8717 | − | 8.27212i | 0.604764 | − | 0.388658i | ||||
\(454\) | 9.43395 | + | 2.77006i | 0.442757 | + | 0.130005i | ||||
\(455\) | 3.39464 | − | 3.91763i | 0.159143 | − | 0.183661i | ||||
\(456\) | −4.29408 | + | 1.26086i | −0.201089 | + | 0.0590450i | ||||
\(457\) | −8.21817 | + | 17.9953i | −0.384430 | + | 0.841784i | 0.614185 | + | 0.789162i | \(0.289485\pi\) |
−0.998615 | + | 0.0526214i | \(0.983242\pi\) | |||||||
\(458\) | −2.81394 | − | 19.5714i | −0.131487 | − | 0.914511i | ||||
\(459\) | 7.50778 | 0.350433 | ||||||||
\(460\) | −6.64408 | − | 9.58795i | −0.309782 | − | 0.447040i | ||||
\(461\) | 10.9505 | 0.510014 | 0.255007 | − | 0.966939i | \(-0.417922\pi\) | ||||
0.255007 | + | 0.966939i | \(0.417922\pi\) | |||||||
\(462\) | 1.46678 | + | 10.2017i | 0.0682407 | + | 0.474624i | ||||
\(463\) | −3.99367 | + | 8.74491i | −0.185601 | + | 0.406410i | −0.979445 | − | 0.201712i | \(-0.935350\pi\) |
0.793844 | + | 0.608122i | \(0.208077\pi\) | |||||||
\(464\) | −2.81913 | + | 0.827771i | −0.130875 | + | 0.0384283i | ||||
\(465\) | −3.30909 | + | 3.81889i | −0.153455 | + | 0.177097i | ||||
\(466\) | −16.0388 | − | 4.70943i | −0.742985 | − | 0.218160i | ||||
\(467\) | −13.3427 | + | 8.57486i | −0.617428 | + | 0.396797i | −0.811636 | − | 0.584163i | \(-0.801423\pi\) |
0.194208 | + | 0.980960i | \(0.437786\pi\) | |||||||
\(468\) | 0.477031 | + | 1.04455i | 0.0220507 | + | 0.0482844i | ||||
\(469\) | −3.58888 | − | 4.14179i | −0.165719 | − | 0.191250i | ||||
\(470\) | 14.5279 | + | 9.33648i | 0.670120 | + | 0.430660i | ||||
\(471\) | −0.403262 | + | 2.80475i | −0.0185813 | + | 0.129236i | ||||
\(472\) | −0.574161 | + | 3.99338i | −0.0264279 | + | 0.183810i | ||||
\(473\) | −40.0203 | − | 25.7195i | −1.84014 | − | 1.18258i | ||||
\(474\) | 6.90000 | + | 7.96302i | 0.316927 | + | 0.365754i | ||||
\(475\) | −1.70333 | − | 3.72977i | −0.0781541 | − | 0.171134i | ||||
\(476\) | 11.7219 | − | 7.53321i | 0.537272 | − | 0.345284i | ||||
\(477\) | −5.17025 | − | 1.51812i | −0.236730 | − | 0.0695101i | ||||
\(478\) | −5.60130 | + | 6.46424i | −0.256197 | + | 0.295667i | ||||
\(479\) | −27.1063 | + | 7.95912i | −1.23852 | + | 0.363662i | −0.834458 | − | 0.551071i | \(-0.814219\pi\) |
−0.404059 | + | 0.914733i | \(0.632401\pi\) | |||||||
\(480\) | 1.01042 | − | 2.21252i | 0.0461193 | − | 0.100987i | ||||
\(481\) | −1.26454 | − | 8.79505i | −0.0576579 | − | 0.401020i | ||||
\(482\) | −21.1421 | −0.962998 | ||||||||
\(483\) | 8.22005 | + | 3.41365i | 0.374025 | + | 0.155326i | ||||
\(484\) | 19.8396 | 0.901800 | ||||||||
\(485\) | −3.44164 | − | 23.9372i | −0.156277 | − | 1.08693i | ||||
\(486\) | −0.415415 | + | 0.909632i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | 1.94021 | − | 0.569697i | 0.0879192 | − | 0.0258154i | −0.237477 | − | 0.971393i | \(-0.576320\pi\) |
0.325396 | + | 0.945578i | \(0.394502\pi\) | |||||||
\(488\) | −0.248351 | + | 0.286612i | −0.0112423 | + | 0.0129743i | ||||
\(489\) | −23.9534 | − | 7.03335i | −1.08321 | − | 0.318059i | ||||
\(490\) | −7.27538 | + | 4.67560i | −0.328668 | + | 0.211222i | ||||
\(491\) | 7.65343 | + | 16.7587i | 0.345394 | + | 0.756308i | 1.00000 | 0.000337539i | \(0.000107442\pi\) | |
−0.654606 | + | 0.755971i | \(0.727165\pi\) | |||||||
\(492\) | −0.450833 | − | 0.520289i | −0.0203251 | − | 0.0234564i | ||||
\(493\) | 18.5572 | + | 11.9260i | 0.835772 | + | 0.537118i | ||||
\(494\) | −0.731379 | + | 5.08685i | −0.0329063 | + | 0.228868i | ||||
\(495\) | 1.92232 | − | 13.3700i | 0.0864019 | − | 0.600938i | ||||
\(496\) | −1.74769 | − | 1.12317i | −0.0784738 | − | 0.0504320i | ||||
\(497\) | 18.3160 | + | 21.1378i | 0.821584 | + | 0.948159i | ||||
\(498\) | −4.34044 | − | 9.50424i | −0.194500 | − | 0.425895i | ||||
\(499\) | −10.6246 | + | 6.82800i | −0.475621 | + | 0.305663i | −0.756400 | − | 0.654109i | \(-0.773044\pi\) |
0.280779 | + | 0.959772i | \(0.409407\pi\) | |||||||
\(500\) | −9.53077 | − | 2.79849i | −0.426229 | − | 0.125152i | ||||
\(501\) | −5.68387 | + | 6.55953i | −0.253936 | + | 0.293058i | ||||
\(502\) | −11.1276 | + | 3.26736i | −0.496649 | + | 0.145829i | ||||
\(503\) | −0.161210 | + | 0.353000i | −0.00718798 | + | 0.0157395i | −0.913192 | − | 0.407530i | \(-0.866390\pi\) |
0.906004 | + | 0.423269i | \(0.139118\pi\) | |||||||
\(504\) | 0.264125 | + | 1.83703i | 0.0117651 | + | 0.0818279i | ||||
\(505\) | 11.9477 | 0.531664 | ||||||||
\(506\) | 13.6109 | − | 22.8923i | 0.605076 | − | 1.01769i | ||||
\(507\) | −11.6814 | −0.518787 | ||||||||
\(508\) | −0.987167 | − | 6.86590i | −0.0437985 | − | 0.304625i | ||||
\(509\) | 13.9512 | − | 30.5489i | 0.618376 | − | 1.35405i | −0.298319 | − | 0.954466i | \(-0.596426\pi\) |
0.916695 | − | 0.399588i | \(-0.130847\pi\) | |||||||
\(510\) | −17.5216 | + | 5.14481i | −0.775871 | + | 0.227816i | ||||
\(511\) | 13.9642 | − | 16.1155i | 0.617739 | − | 0.712909i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | −3.76492 | + | 2.41956i | −0.166225 | + | 0.106826i | ||||
\(514\) | 3.50926 | + | 7.68422i | 0.154787 | + | 0.338936i | ||||
\(515\) | −12.4924 | − | 14.4170i | −0.550482 | − | 0.635290i | ||||
\(516\) | −7.20653 | − | 4.63136i | −0.317250 | − | 0.203884i | ||||
\(517\) | −5.61123 | + | 39.0269i | −0.246782 | + | 1.71640i | ||||
\(518\) | 2.04375 | − | 14.2146i | 0.0897971 | − | 0.624553i | ||||
\(519\) | 12.9782 | + | 8.34057i | 0.569679 | + | 0.366110i | ||||
\(520\) | −1.82909 | − | 2.11088i | −0.0802108 | − | 0.0925681i | ||||
\(521\) | 0.362903 | + | 0.794646i | 0.0158991 | + | 0.0348141i | 0.917415 | − | 0.397932i | \(-0.130272\pi\) |
−0.901516 | + | 0.432746i | \(0.857545\pi\) | |||||||
\(522\) | −2.47172 | + | 1.58848i | −0.108184 | + | 0.0695259i | ||||
\(523\) | 19.4906 | + | 5.72296i | 0.852265 | + | 0.250248i | 0.678555 | − | 0.734549i | \(-0.262606\pi\) |
0.173710 | + | 0.984797i | \(0.444425\pi\) | |||||||
\(524\) | −2.22184 | + | 2.56414i | −0.0970615 | + | 0.112015i | ||||
\(525\) | −1.63151 | + | 0.479054i | −0.0712049 | + | 0.0209076i | ||||
\(526\) | 12.9988 | − | 28.4634i | 0.566774 | − | 1.24106i | ||||
\(527\) | 2.21973 | + | 15.4386i | 0.0966929 | + | 0.672514i | ||||
\(528\) | 5.55334 | 0.241678 | ||||||||
\(529\) | −10.9859 | − | 20.2067i | −0.477647 | − | 0.878552i | ||||
\(530\) | 13.1066 | 0.569316 | ||||||||
\(531\) | 0.574161 | + | 3.99338i | 0.0249165 | + | 0.173298i | ||||
\(532\) | −3.45041 | + | 7.55534i | −0.149594 | + | 0.327565i | ||||
\(533\) | −0.758529 | + | 0.222724i | −0.0328556 | + | 0.00964726i | ||||
\(534\) | 7.05663 | − | 8.14379i | 0.305370 | − | 0.352416i | ||||
\(535\) | −21.7134 | − | 6.37562i | −0.938750 | − | 0.275642i | ||||
\(536\) | −2.48414 | + | 1.59646i | −0.107299 | + | 0.0689567i | ||||
\(537\) | −2.51322 | − | 5.50319i | −0.108454 | − | 0.237480i | ||||
\(538\) | −6.06328 | − | 6.99740i | −0.261407 | − | 0.301679i | ||||
\(539\) | −16.6107 | − | 10.6751i | −0.715475 | − | 0.459808i | ||||
\(540\) | 0.346156 | − | 2.40757i | 0.0148962 | − | 0.103605i | ||||
\(541\) | 0.948836 | − | 6.59930i | 0.0407936 | − | 0.283726i | −0.959206 | − | 0.282709i | \(-0.908767\pi\) |
0.999999 | − | 0.00101737i | \(-0.000323839\pi\) | |||||||
\(542\) | −13.8565 | − | 8.90506i | −0.595189 | − | 0.382505i | ||||
\(543\) | 4.10457 | + | 4.73692i | 0.176144 | + | 0.203281i | ||||
\(544\) | −3.11884 | − | 6.82931i | −0.133719 | − | 0.292804i | ||||
\(545\) | −29.6464 | + | 19.0526i | −1.26991 | + | 0.816123i | ||||
\(546\) | 2.04487 | + | 0.600428i | 0.0875123 | + | 0.0256959i | ||||
\(547\) | 8.89250 | − | 10.2625i | 0.380216 | − | 0.438793i | −0.533095 | − | 0.846055i | \(-0.678971\pi\) |
0.913311 | + | 0.407263i | \(0.133517\pi\) | |||||||
\(548\) | −8.84626 | + | 2.59750i | −0.377894 | + | 0.110960i | ||||
\(549\) | −0.157543 | + | 0.344971i | −0.00672377 | + | 0.0147230i | ||||
\(550\) | 0.724090 | + | 5.03616i | 0.0308753 | + | 0.214743i | ||||
\(551\) | −13.1493 | −0.560178 | ||||||||
\(552\) | 2.45093 | − | 4.12225i | 0.104319 | − | 0.175455i | ||||
\(553\) | 19.5551 | 0.831567 | ||||||||
\(554\) | 4.15775 | + | 28.9178i | 0.176646 | + | 1.22860i | ||||
\(555\) | −7.81845 | + | 17.1200i | −0.331875 | + | 0.726705i | ||||
\(556\) | 12.9235 | − | 3.79469i | 0.548080 | − | 0.160931i | ||||
\(557\) | −10.5821 | + | 12.2124i | −0.448377 | + | 0.517454i | −0.934271 | − | 0.356563i | \(-0.883948\pi\) |
0.485895 | + | 0.874017i | \(0.338494\pi\) | |||||||
\(558\) | −1.99333 | − | 0.585296i | −0.0843846 | − | 0.0247775i | ||||
\(559\) | −8.27542 | + | 5.31829i | −0.350013 | + | 0.224940i | ||||
\(560\) | −1.87527 | − | 4.10626i | −0.0792445 | − | 0.173521i | ||||
\(561\) | −27.3033 | − | 31.5097i | −1.15275 | − | 1.33034i | ||||
\(562\) | −10.1219 | − | 6.50493i | −0.426965 | − | 0.274394i | ||||
\(563\) | 0.467924 | − | 3.25448i | 0.0197206 | − | 0.137160i | −0.977582 | − | 0.210553i | \(-0.932474\pi\) |
0.997303 | + | 0.0733928i | \(0.0233827\pi\) | |||||||
\(564\) | −1.01042 | + | 7.02765i | −0.0425465 | + | 0.295917i | ||||
\(565\) | −30.0883 | − | 19.3366i | −1.26582 | − | 0.813495i | ||||
\(566\) | −6.73090 | − | 7.76787i | −0.282921 | − | 0.326508i | ||||
\(567\) | 0.770978 | + | 1.68821i | 0.0323780 | + | 0.0708980i | ||||
\(568\) | 12.6779 | − | 8.14762i | 0.531954 | − | 0.341866i | ||||
\(569\) | 25.1220 | + | 7.37647i | 1.05317 | + | 0.309238i | 0.762096 | − | 0.647464i | \(-0.224170\pi\) |
0.291071 | + | 0.956701i | \(0.405988\pi\) | |||||||
\(570\) | 7.12851 | − | 8.22674i | 0.298580 | − | 0.344580i | ||||
\(571\) | −12.5762 | + | 3.69271i | −0.526299 | + | 0.154535i | −0.534079 | − | 0.845434i | \(-0.679342\pi\) |
0.00778034 | + | 0.999970i | \(0.497523\pi\) | |||||||
\(572\) | 2.64911 | − | 5.80075i | 0.110765 | − | 0.242542i | ||||
\(573\) | −2.74540 | − | 19.0947i | −0.114691 | − | 0.797693i | ||||
\(574\) | −1.27769 | −0.0533298 | ||||||||
\(575\) | 4.05792 | + | 1.68518i | 0.169227 | + | 0.0702769i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −5.40643 | − | 37.6025i | −0.225073 | − | 1.56541i | −0.718437 | − | 0.695592i | \(-0.755142\pi\) |
0.493365 | − | 0.869823i | \(-0.335767\pi\) | |||||||
\(578\) | −16.3535 | + | 35.8092i | −0.680217 | + | 1.48947i | ||||
\(579\) | 24.8321 | − | 7.29136i | 1.03199 | − | 0.303019i | ||||
\(580\) | 4.67997 | − | 5.40098i | 0.194325 | − | 0.224263i | ||||
\(581\) | −18.6060 | − | 5.46322i | −0.771907 | − | 0.226652i | ||||
\(582\) | 8.36414 | − | 5.37531i | 0.346705 | − | 0.222814i | ||||
\(583\) | 12.4310 | + | 27.2201i | 0.514840 | + | 1.12734i | ||||
\(584\) | −7.52412 | − | 8.68330i | −0.311350 | − | 0.359317i | ||||
\(585\) | −2.34970 | − | 1.51006i | −0.0971481 | − | 0.0624333i | ||||
\(586\) | −0.0359111 | + | 0.249767i | −0.00148347 | + | 0.0103178i | ||||
\(587\) | −3.73817 | + | 25.9995i | −0.154291 | + | 1.07312i | 0.754631 | + | 0.656149i | \(0.227816\pi\) |
−0.908922 | + | 0.416966i | \(0.863093\pi\) | |||||||
\(588\) | −2.99112 | − | 1.92228i | −0.123352 | − | 0.0792734i | ||||
\(589\) | −6.08858 | − | 7.02659i | −0.250875 | − | 0.289526i | ||||
\(590\) | −4.07650 | − | 8.92629i | −0.167827 | − | 0.367489i | ||||
\(591\) | 15.4650 | − | 9.93876i | 0.636145 | − | 0.408826i | ||||
\(592\) | −7.42436 | − | 2.17999i | −0.305140 | − | 0.0895970i | ||||
\(593\) | 1.09857 | − | 1.26782i | 0.0451130 | − | 0.0520632i | −0.732745 | − | 0.680504i | \(-0.761761\pi\) |
0.777858 | + | 0.628441i | \(0.216306\pi\) | |||||||
\(594\) | 5.32839 | − | 1.56456i | 0.218627 | − | 0.0641946i | ||||
\(595\) | −14.0791 | + | 30.8289i | −0.577186 | + | 1.26386i | ||||
\(596\) | 1.58769 | + | 11.0426i | 0.0650342 | + | 0.452323i | ||||
\(597\) | 8.65762 | 0.354333 | ||||||||
\(598\) | −3.13673 | − | 4.52656i | −0.128271 | − | 0.185105i | ||||
\(599\) | 10.8835 | 0.444689 | 0.222344 | − | 0.974968i | \(-0.428629\pi\) | ||||
0.222344 | + | 0.974968i | \(0.428629\pi\) | |||||||
\(600\) | 0.130388 | + | 0.906870i | 0.00532308 | + | 0.0370228i | ||||
\(601\) | −11.4599 | + | 25.0936i | −0.467458 | + | 1.02359i | 0.518266 | + | 0.855220i | \(0.326578\pi\) |
−0.985724 | + | 0.168370i | \(0.946150\pi\) | |||||||
\(602\) | −15.2546 | + | 4.47915i | −0.621731 | + | 0.182557i | ||||
\(603\) | −1.93374 | + | 2.23166i | −0.0787481 | + | 0.0908802i | ||||
\(604\) | −14.6808 | − | 4.31067i | −0.597353 | − | 0.175399i | ||||
\(605\) | −40.5958 | + | 26.0893i | −1.65045 | + | 1.06068i | ||||
\(606\) | 2.04053 | + | 4.46815i | 0.0828911 | + | 0.181506i | ||||
\(607\) | 24.2330 | + | 27.9663i | 0.983586 | + | 1.13512i | 0.990826 | + | 0.135145i | \(0.0431501\pi\) |
−0.00723963 | + | 0.999974i | \(0.502304\pi\) | |||||||
\(608\) | 3.76492 | + | 2.41956i | 0.152688 | + | 0.0981263i | ||||
\(609\) | −0.776038 | + | 5.39746i | −0.0314466 | + | 0.218716i | ||||
\(610\) | 0.131277 | − | 0.913051i | 0.00531525 | − | 0.0369683i | ||||
\(611\) | 6.85874 | + | 4.40784i | 0.277475 | + | 0.178322i | ||||
\(612\) | −4.91655 | − | 5.67400i | −0.198740 | − | 0.229358i | ||||
\(613\) | 4.26350 | + | 9.33575i | 0.172201 | + | 0.377068i | 0.975980 | − | 0.217861i | \(-0.0699078\pi\) |
−0.803779 | + | 0.594928i | \(0.797181\pi\) | |||||||
\(614\) | 0.245858 | − | 0.158003i | 0.00992203 | − | 0.00637650i | ||||
\(615\) | 1.60668 | + | 0.471764i | 0.0647876 | + | 0.0190234i | ||||
\(616\) | 6.74937 | − | 7.78919i | 0.271940 | − | 0.313835i | ||||
\(617\) | 6.74760 | − | 1.98128i | 0.271648 | − | 0.0797631i | −0.143071 | − | 0.989712i | \(-0.545698\pi\) |
0.414720 | + | 0.909949i | \(0.363880\pi\) | |||||||
\(618\) | 3.25806 | − | 7.13415i | 0.131058 | − | 0.286978i | ||||
\(619\) | 5.21995 | + | 36.3055i | 0.209808 | + | 1.45924i | 0.773782 | + | 0.633451i | \(0.218362\pi\) |
−0.563975 | + | 0.825792i | \(0.690729\pi\) | |||||||
\(620\) | 5.05312 | 0.202938 | ||||||||
\(621\) | 1.19028 | − | 4.64578i | 0.0477642 | − | 0.186429i | ||||
\(622\) | 9.05821 | 0.363201 | ||||||||
\(623\) | −2.84615 | − | 19.7954i | −0.114029 | − | 0.793087i | ||||
\(624\) | 0.477031 | − | 1.04455i | 0.0190965 | − | 0.0418155i | ||||
\(625\) | 27.5773 | − | 8.09743i | 1.10309 | − | 0.323897i | ||||
\(626\) | 3.74536 | − | 4.32238i | 0.149695 | − | 0.172757i | ||||
\(627\) | 23.8465 | + | 7.00196i | 0.952338 | + | 0.279632i | ||||
\(628\) | 2.38377 | − | 1.53195i | 0.0951226 | − | 0.0611316i | ||||
\(629\) | 24.1330 | + | 52.8439i | 0.962245 | + | 2.10702i | ||||
\(630\) | −2.95617 | − | 3.41161i | −0.117777 | − | 0.135922i | ||||
\(631\) | −15.3141 | − | 9.84180i | −0.609646 | − | 0.391796i | 0.199078 | − | 0.979984i | \(-0.436205\pi\) |
−0.808724 | + | 0.588188i | \(0.799842\pi\) | |||||||
\(632\) | 1.49951 | − | 10.4293i | 0.0596474 | − | 0.414857i | ||||
\(633\) | −1.97614 | + | 13.7444i | −0.0785446 | + | 0.546290i | ||||
\(634\) | 15.4041 | + | 9.89962i | 0.611775 | + | 0.393164i | ||||
\(635\) | 11.0487 | + | 12.7509i | 0.438454 | + | 0.506003i | ||||
\(636\) | 2.23847 | + | 4.90157i | 0.0887613 | + | 0.194360i | ||||
\(637\) | −3.43477 | + | 2.20740i | −0.136091 | + | 0.0874602i | ||||
\(638\) | 15.6556 | + | 4.59689i | 0.619811 | + | 0.181993i | ||||
\(639\) | 9.86894 | − | 11.3894i | 0.390409 | − | 0.450556i | ||||
\(640\) | −2.33380 | + | 0.685265i | −0.0922514 | + | 0.0270875i | ||||
\(641\) | 2.11700 | − | 4.63559i | 0.0836166 | − | 0.183095i | −0.863205 | − | 0.504853i | \(-0.831547\pi\) |
0.946822 | + | 0.321758i | \(0.104274\pi\) | |||||||
\(642\) | −1.32408 | − | 9.20918i | −0.0522573 | − | 0.363457i | ||||
\(643\) | −5.24644 | −0.206899 | −0.103450 | − | 0.994635i | \(-0.532988\pi\) | ||||
−0.103450 | + | 0.994635i | \(0.532988\pi\) | |||||||
\(644\) | −2.80313 | − | 8.44776i | −0.110459 | − | 0.332889i | ||||
\(645\) | 20.8363 | 0.820428 | ||||||||
\(646\) | −4.78178 | − | 33.2580i | −0.188137 | − | 1.30852i | ||||
\(647\) | −16.7895 | + | 36.7638i | −0.660062 | + | 1.44533i | 0.222403 | + | 0.974955i | \(0.428610\pi\) |
−0.882465 | + | 0.470379i | \(0.844117\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | 14.6719 | − | 16.9323i | 0.575924 | − | 0.664651i | ||||
\(650\) | 1.00947 | + | 0.296407i | 0.0395947 | + | 0.0116261i | ||||
\(651\) | −3.24358 | + | 2.08452i | −0.127126 | + | 0.0816989i | ||||
\(652\) | 10.3707 | + | 22.7086i | 0.406147 | + | 0.889338i | ||||
\(653\) | −9.73558 | − | 11.2355i | −0.380982 | − | 0.439677i | 0.532577 | − | 0.846381i | \(-0.321223\pi\) |
−0.913560 | + | 0.406704i | \(0.866678\pi\) | |||||||
\(654\) | −12.1885 | − | 7.83308i | −0.476609 | − | 0.306298i | ||||
\(655\) | 1.17445 | − | 8.16849i | 0.0458896 | − | 0.319169i | ||||
\(656\) | −0.0979753 | + | 0.681433i | −0.00382529 | + | 0.0266055i | ||||
\(657\) | −9.66571 | − | 6.21177i | −0.377095 | − | 0.242344i | ||||
\(658\) | 8.62903 | + | 9.95843i | 0.336395 | + | 0.388220i | ||||
\(659\) | −10.7801 | − | 23.6051i | −0.419932 | − | 0.919523i | −0.994854 | − | 0.101315i | \(-0.967695\pi\) |
0.574922 | − | 0.818208i | \(-0.305032\pi\) | |||||||
\(660\) | −11.3633 | + | 7.30272i | −0.442314 | + | 0.284258i | ||||
\(661\) | 46.2443 | + | 13.5786i | 1.79870 | + | 0.528145i | 0.997526 | − | 0.0702937i | \(-0.0223936\pi\) |
0.801169 | + | 0.598438i | \(0.204212\pi\) | |||||||
\(662\) | −0.756224 | + | 0.872729i | −0.0293915 | + | 0.0339196i | ||||
\(663\) | −8.27213 | + | 2.42892i | −0.321263 | + | 0.0943313i | ||||
\(664\) | −4.34044 | + | 9.50424i | −0.168442 | + | 0.368836i | ||||
\(665\) | −2.87514 | − | 19.9971i | −0.111493 | − | 0.775453i | ||||
\(666\) | −7.73780 | −0.299834 | ||||||||
\(667\) | 10.3218 | − | 9.59234i | 0.399660 | − | 0.371417i | ||||
\(668\) | 8.67950 | 0.335820 | ||||||||
\(669\) | −0.538659 | − | 3.74645i | −0.0208258 | − | 0.144846i | ||||
\(670\) | 2.98369 | − | 6.53337i | 0.115270 | − | 0.252406i | ||||
\(671\) | 2.02075 | − | 0.593346i | 0.0780103 | − | 0.0229059i | ||||
\(672\) | 1.21537 | − | 1.40261i | 0.0468839 | − | 0.0541069i | ||||
\(673\) | 14.9182 | + | 4.38039i | 0.575056 | + | 0.168852i | 0.556313 | − | 0.830973i | \(-0.312216\pi\) |
0.0187425 | + | 0.999824i | \(0.494034\pi\) | |||||||
\(674\) | 13.9765 | − | 8.98213i | 0.538354 | − | 0.345979i | ||||
\(675\) | 0.380601 | + | 0.833401i | 0.0146494 | + | 0.0320776i | ||||
\(676\) | 7.64966 | + | 8.82818i | 0.294218 | + | 0.339545i | ||||
\(677\) | −1.76046 | − | 1.13138i | −0.0676601 | − | 0.0434825i | 0.506373 | − | 0.862314i | \(-0.330986\pi\) |
−0.574034 | + | 0.818832i | \(0.694622\pi\) | |||||||
\(678\) | 2.09266 | − | 14.5548i | 0.0803682 | − | 0.558973i | ||||
\(679\) | 2.62606 | − | 18.2646i | 0.100779 | − | 0.700932i | ||||
\(680\) | 15.3624 | + | 9.87283i | 0.589122 | + | 0.378606i | ||||
\(681\) | −6.43874 | − | 7.43070i | −0.246733 | − | 0.284745i | ||||
\(682\) | 4.79264 | + | 10.4944i | 0.183520 | + | 0.401852i | ||||
\(683\) | −11.4861 | + | 7.38168i | −0.439504 | + | 0.282452i | −0.741622 | − | 0.670818i | \(-0.765943\pi\) |
0.302117 | + | 0.953271i | \(0.402307\pi\) | |||||||
\(684\) | 4.29408 | + | 1.26086i | 0.164188 | + | 0.0482100i | ||||
\(685\) | 14.6855 | − | 16.9480i | 0.561104 | − | 0.647548i | ||||
\(686\) | −18.7967 | + | 5.51922i | −0.717663 | + | 0.210725i | ||||
\(687\) | −8.21385 | + | 17.9858i | −0.313378 | + | 0.686202i | ||||
\(688\) | 1.21913 | + | 8.47922i | 0.0464788 | + | 0.323267i | ||||
\(689\) | 6.18777 | 0.235735 | ||||||||
\(690\) | 0.405718 | + | 11.6580i | 0.0154454 | + | 0.443811i | ||||
\(691\) | −19.2615 | −0.732744 | −0.366372 | − | 0.930469i | \(-0.619400\pi\) | ||||
−0.366372 | + | 0.930469i | \(0.619400\pi\) | |||||||
\(692\) | −2.19552 | − | 15.2702i | −0.0834611 | − | 0.580485i | ||||
\(693\) | 4.28150 | − | 9.37518i | 0.162641 | − | 0.356134i | ||||
\(694\) | −0.125556 | + | 0.0368665i | −0.00476603 | + | 0.00139943i | ||||
\(695\) | −21.4541 | + | 24.7593i | −0.813799 | + | 0.939174i | ||||
\(696\) | 2.81913 | + | 0.827771i | 0.106859 | + | 0.0313766i | ||||
\(697\) | 4.34815 | − | 2.79439i | 0.164698 | − | 0.105845i | ||||
\(698\) | −7.76320 | − | 16.9990i | −0.293841 | − | 0.643423i | ||||
\(699\) | 10.9466 | + | 12.6331i | 0.414039 | + | 0.477827i | ||||
\(700\) | 1.43046 | + | 0.919299i | 0.0540662 | + | 0.0347462i | ||||
\(701\) | 0.843289 | − | 5.86520i | 0.0318506 | − | 0.221526i | −0.967679 | − | 0.252184i | \(-0.918851\pi\) |
0.999530 | + | 0.0306582i | \(0.00976033\pi\) | |||||||
\(702\) | 0.163423 | − | 1.13663i | 0.00616802 | − | 0.0428995i | ||||
\(703\) | −29.1322 | − | 18.7221i | −1.09874 | − | 0.706118i | ||||
\(704\) | −3.63667 | − | 4.19694i | −0.137062 | − | 0.158178i | ||||
\(705\) | −7.17392 | − | 15.7087i | −0.270186 | − | 0.591624i | ||||
\(706\) | 27.6621 | − | 17.7773i | 1.04108 | − | 0.669059i | ||||
\(707\) | 8.74708 | + | 2.56838i | 0.328968 | + | 0.0965937i | ||||
\(708\) | 2.64200 | − | 3.04903i | 0.0992924 | − | 0.114590i | ||||
\(709\) | 6.20193 | − | 1.82105i | 0.232918 | − | 0.0683910i | −0.163190 | − | 0.986595i | \(-0.552179\pi\) |
0.396109 | + | 0.918204i | \(0.370360\pi\) | |||||||
\(710\) | −15.2274 | + | 33.3433i | −0.571473 | + | 1.25135i | ||||
\(711\) | −1.49951 | − | 10.4293i | −0.0562361 | − | 0.391131i | ||||
\(712\) | −10.7758 | −0.403839 | ||||||||
\(713\) | 9.90522 | + | 1.07406i | 0.370953 | + | 0.0402239i | ||||
\(714\) | −13.9338 | −0.521461 | ||||||||
\(715\) | 2.20745 | + | 15.3531i | 0.0825538 | + | 0.574174i | ||||
\(716\) | −2.51322 | + | 5.50319i | −0.0939236 | + | 0.205664i | ||||
\(717\) | 8.20694 | − | 2.40978i | 0.306494 | − | 0.0899947i | ||||
\(718\) | 4.29811 | − | 4.96028i | 0.160404 | − | 0.185116i | ||||
\(719\) | 47.9418 | + | 14.0770i | 1.78793 | + | 0.524983i | 0.996294 | − | 0.0860135i | \(-0.0274128\pi\) |
0.791633 | + | 0.610996i | \(0.209231\pi\) | |||||||
\(720\) | −2.04620 | + | 1.31501i | −0.0762574 | + | 0.0490076i | ||||
\(721\) | −6.04670 | − | 13.2404i | −0.225191 | − | 0.493099i | ||||
\(722\) | 0.673779 | + | 0.777583i | 0.0250755 | + | 0.0289386i | ||||
\(723\) | 17.7859 | + | 11.4303i | 0.661465 | + | 0.425098i | ||||
\(724\) | 0.892008 | − | 6.20405i | 0.0331512 | − | 0.230572i | ||||
\(725\) | −0.383099 | + | 2.66451i | −0.0142280 | + | 0.0989576i | ||||
\(726\) | −16.6901 | − | 10.7261i | −0.619429 | − | 0.398083i | ||||
\(727\) | −14.5447 | − | 16.7855i | −0.539434 | − | 0.622540i | 0.418955 | − | 0.908007i | \(-0.362397\pi\) |
−0.958388 | + | 0.285467i | \(0.907851\pi\) | |||||||
\(728\) | −0.885331 | − | 1.93861i | −0.0328126 | − | 0.0718495i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 26.8145 | + | 7.87345i | 0.992449 | + | 0.291409i | ||||
\(731\) | 42.1172 | − | 48.6059i | 1.55776 | − | 1.79775i | ||||
\(732\) | 0.363880 | − | 0.106845i | 0.0134494 | − | 0.00394910i | ||||
\(733\) | 16.0918 | − | 35.2361i | 0.594364 | − | 1.30148i | −0.338405 | − | 0.941001i | \(-0.609887\pi\) |
0.932769 | − | 0.360475i | \(-0.117385\pi\) | |||||||
\(734\) | −2.24121 | − | 15.5880i | −0.0827245 | − | 0.575362i | ||||
\(735\) | 8.64826 | 0.318996 | ||||||||
\(736\) | −4.72041 | + | 0.847210i | −0.173996 | + | 0.0312286i | ||||
\(737\) | 16.3985 | 0.604047 | ||||||||
\(738\) | 0.0979753 | + | 0.681433i | 0.00360652 | + | 0.0250839i | ||||
\(739\) | −3.39732 | + | 7.43909i | −0.124972 | + | 0.273651i | −0.961769 | − | 0.273863i | \(-0.911699\pi\) |
0.836796 | + | 0.547514i | \(0.184426\pi\) | |||||||
\(740\) | 18.0585 | − | 5.30244i | 0.663842 | − | 0.194922i | ||||
\(741\) | 3.36544 | − | 3.88392i | 0.123632 | − | 0.142679i | ||||
\(742\) | 9.59558 | + | 2.81752i | 0.352265 | + | 0.103434i | ||||
\(743\) | 5.79535 | − | 3.72445i | 0.212611 | − | 0.136637i | −0.430001 | − | 0.902828i | \(-0.641487\pi\) |
0.642612 | + | 0.766191i | \(0.277851\pi\) | |||||||
\(744\) | 0.863019 | + | 1.88975i | 0.0316398 | + | 0.0692816i | ||||
\(745\) | −17.7699 | − | 20.5076i | −0.651039 | − | 0.751339i | ||||
\(746\) | −13.5773 | − | 8.72558i | −0.497099 | − | 0.319466i | ||||
\(747\) | −1.48697 | + | 10.3421i | −0.0544053 | + | 0.378397i | ||||
\(748\) | −5.93357 | + | 41.2689i | −0.216953 | + | 1.50894i | ||||
\(749\) | −14.5261 | − | 9.33539i | −0.530774 | − | 0.341108i | ||||
\(750\) | 6.50482 | + | 7.50696i | 0.237522 | + | 0.274115i | ||||
\(751\) | −6.35324 | − | 13.9117i | −0.231833 | − | 0.507643i | 0.757585 | − | 0.652736i | \(-0.226379\pi\) |
−0.989418 | + | 0.145093i | \(0.953652\pi\) | |||||||
\(752\) | 5.97283 | − | 3.83850i | 0.217807 | − | 0.139976i | ||||
\(753\) | 11.1276 | + | 3.26736i | 0.405512 | + | 0.119069i | ||||
\(754\) | 2.20946 | − | 2.54985i | 0.0804638 | − | 0.0928601i | ||||
\(755\) | 35.7085 | − | 10.4849i | 1.29956 | − | 0.381586i | ||||
\(756\) | 0.770978 | − | 1.68821i | 0.0280402 | − | 0.0613995i | ||||
\(757\) | 1.52276 | + | 10.5910i | 0.0553456 | + | 0.384937i | 0.998601 | + | 0.0528700i | \(0.0168369\pi\) |
−0.943256 | + | 0.332067i | \(0.892254\pi\) | |||||||
\(758\) | −21.2866 | −0.773163 | ||||||||
\(759\) | −23.8267 | + | 11.8996i | −0.864853 | + | 0.431929i | ||||
\(760\) | −10.8855 | −0.394860 | ||||||||
\(761\) | −0.756832 | − | 5.26388i | −0.0274351 | − | 0.190816i | 0.971495 | − | 0.237060i | \(-0.0761838\pi\) |
−0.998930 | + | 0.0462444i | \(0.985275\pi\) | |||||||
\(762\) | −2.88153 | + | 6.30966i | −0.104387 | + | 0.228575i | ||||
\(763\) | −25.8003 | + | 7.57566i | −0.934035 | + | 0.274257i | ||||
\(764\) | −12.6330 | + | 14.5792i | −0.457045 | + | 0.527457i | ||||
\(765\) | 17.5216 | + | 5.14481i | 0.633496 | + | 0.186011i | ||||
\(766\) | −22.6282 | + | 14.5423i | −0.817591 | + | 0.525434i | ||||
\(767\) | −1.92455 | − | 4.21419i | −0.0694916 | − | 0.152165i | ||||
\(768\) | −0.654861 | − | 0.755750i | −0.0236303 | − | 0.0272708i | ||||
\(769\) | 17.4129 | + | 11.1906i | 0.627924 | + | 0.403542i | 0.815540 | − | 0.578700i | \(-0.196440\pi\) |
−0.187616 | + | 0.982242i | \(0.560076\pi\) | |||||||
\(770\) | −3.56768 | + | 24.8137i | −0.128570 | + | 0.894225i | ||||
\(771\) | 1.20222 | − | 8.36163i | 0.0432969 | − | 0.301137i | ||||
\(772\) | −21.7720 | − | 13.9920i | −0.783592 | − | 0.503584i | ||||
\(773\) | 17.5087 | + | 20.2061i | 0.629743 | + | 0.726762i | 0.977526 | − | 0.210813i | \(-0.0676110\pi\) |
−0.347784 | + | 0.937575i | \(0.613066\pi\) | |||||||
\(774\) | 3.55862 | + | 7.79229i | 0.127912 | + | 0.280088i | ||||
\(775\) | −1.60123 | + | 1.02905i | −0.0575178 | + | 0.0369645i | ||||
\(776\) | −9.53973 | − | 2.80112i | −0.342457 | − | 0.100554i | ||||
\(777\) | −9.40429 | + | 10.8531i | −0.337377 | + | 0.389354i | ||||
\(778\) | 28.0116 | − | 8.22496i | 1.00427 | − | 0.294879i | ||||
\(779\) | −1.27990 | + | 2.80260i | −0.0458573 | + | 0.100413i | ||||
\(780\) | 0.397498 | + | 2.76466i | 0.0142327 | + | 0.0989908i | ||||
\(781\) | −83.6905 | −2.99468 | ||||||||
\(782\) | 28.0152 | + | 22.6182i | 1.00182 | + | 0.808826i | ||||
\(783\) | 2.93814 | 0.105001 | ||||||||
\(784\) | 0.506008 | + | 3.51936i | 0.0180717 | + | 0.125692i | ||||
\(785\) | −2.86312 | + | 6.26937i | −0.102189 | + | 0.223763i | ||||
\(786\) | 3.25541 | − | 0.955874i | 0.116117 | − | 0.0340949i | ||||
\(787\) | 28.3878 | − | 32.7612i | 1.01191 | − | 1.16781i | 0.0261540 | − | 0.999658i | \(-0.491674\pi\) |
0.985761 | − | 0.168154i | \(-0.0537806\pi\) | |||||||
\(788\) | −17.6386 | − | 5.17917i | −0.628350 | − | 0.184500i | ||||
\(789\) | −26.3237 | + | 16.9172i | −0.937150 | + | 0.602270i | ||||
\(790\) | 10.6464 | + | 23.3124i | 0.378783 | + | 0.829418i | ||||
\(791\) | −17.8714 | − | 20.6246i | −0.635432 | − | 0.733328i | ||||
\(792\) | −4.67177 | − | 3.00236i | −0.166004 | − | 0.106684i | ||||
\(793\) | 0.0619771 | − | 0.431060i | 0.00220087 | − | 0.0153074i | ||||
\(794\) | −0.307965 | + | 2.14195i | −0.0109293 | + | 0.0760148i | ||||
\(795\) | −11.0260 | − | 7.08598i | −0.391052 | − | 0.251314i | ||||
\(796\) | −5.66954 | − | 6.54299i | −0.200951 | − | 0.231910i | ||||
\(797\) | −15.9326 | − | 34.8875i | −0.564361 | − | 1.23578i | −0.949746 | − | 0.313022i | \(-0.898659\pi\) |
0.385385 | − | 0.922756i | \(-0.374069\pi\) | |||||||
\(798\) | 6.98739 | − | 4.49052i | 0.247351 | − | 0.158963i | ||||
\(799\) | −51.1454 | − | 15.0176i | −1.80939 | − | 0.531286i | ||||
\(800\) | 0.599980 | − | 0.692414i | 0.0212125 | − | 0.0244805i | ||||
\(801\) | −10.3393 | + | 3.03589i | −0.365320 | + | 0.107268i | ||||
\(802\) | 2.83253 | − | 6.20238i | 0.100020 | − | 0.219014i | ||||
\(803\) | 9.08053 | + | 63.1565i | 0.320445 | + | 2.22874i | ||||
\(804\) | 2.95291 | 0.104141 | ||||||||
\(805\) | 16.8447 | + | 13.5997i | 0.593697 | + | 0.479325i | ||||
\(806\) | 2.38563 | 0.0840301 | ||||||||
\(807\) | 1.31768 | + | 9.16465i | 0.0463844 | + | 0.322611i | ||||
\(808\) | 2.04053 | − | 4.46815i | 0.0717858 | − | 0.157189i | ||||
\(809\) | −6.58065 | + | 1.93225i | −0.231363 | + | 0.0679344i | −0.395359 | − | 0.918527i | \(-0.629380\pi\) |
0.163996 | + | 0.986461i | \(0.447562\pi\) | |||||||
\(810\) | −1.59283 | + | 1.83823i | −0.0559664 | + | 0.0645887i | ||||
\(811\) | 2.26053 | + | 0.663751i | 0.0793779 | + | 0.0233075i | 0.321180 | − | 0.947018i | \(-0.395920\pi\) |
−0.241802 | + | 0.970325i | \(0.577739\pi\) | |||||||
\(812\) | 4.58733 | − | 2.94810i | 0.160984 | − | 0.103458i | ||||
\(813\) | 6.84243 | + | 14.9828i | 0.239974 | + | 0.525471i | ||||
\(814\) | 28.1398 | + | 32.4751i | 0.986299 | + | 1.13825i | ||||
\(815\) | −51.0826 | − | 32.8288i | −1.78935 | − | 1.14994i | ||||
\(816\) | −1.06847 | + | 7.43136i | −0.0374039 | + | 0.260150i | ||||
\(817\) | −5.45604 | + | 37.9476i | −0.190883 | + | 1.32762i | ||||
\(818\) | 10.8384 | + | 6.96545i | 0.378957 | + | 0.243541i | ||||
\(819\) | −1.39564 | − | 1.61065i | −0.0487675 | − | 0.0562807i | ||||
\(820\) | −0.695617 | − | 1.52319i | −0.0242920 | − | 0.0531920i | ||||
\(821\) | 13.3148 | − | 8.55691i | 0.464690 | − | 0.298638i | −0.287267 | − | 0.957851i | \(-0.592747\pi\) |
0.751957 | + | 0.659212i | \(0.229110\pi\) | |||||||
\(822\) | 8.84626 | + | 2.59750i | 0.308549 | + | 0.0905981i | ||||
\(823\) | −2.96189 | + | 3.41821i | −0.103245 | + | 0.119151i | −0.805020 | − | 0.593247i | \(-0.797846\pi\) |
0.701775 | + | 0.712398i | \(0.252391\pi\) | |||||||
\(824\) | −7.52521 | + | 2.20960i | −0.262153 | + | 0.0769751i | ||||
\(825\) | 2.11361 | − | 4.62816i | 0.0735864 | − | 0.161132i | ||||
\(826\) | −1.06560 | − | 7.41140i | −0.0370769 | − | 0.257876i | ||||
\(827\) | −6.29678 | −0.218961 | −0.109480 | − | 0.993989i | \(-0.534919\pi\) | ||||
−0.109480 | + | 0.993989i | \(0.534919\pi\) | |||||||
\(828\) | −4.29051 | + | 2.14278i | −0.149106 | + | 0.0744669i | ||||
\(829\) | 6.30959 | 0.219141 | 0.109570 | − | 0.993979i | \(-0.465052\pi\) | ||||
0.109570 | + | 0.993979i | \(0.465052\pi\) | |||||||
\(830\) | −3.61679 | − | 25.1553i | −0.125541 | − | 0.873154i | ||||
\(831\) | 12.1364 | − | 26.5750i | 0.421007 | − | 0.921877i | ||||
\(832\) | −1.10181 | + | 0.323520i | −0.0381983 | + | 0.0112160i | ||||
\(833\) | 17.4811 | − | 20.1742i | 0.605683 | − | 0.698995i | ||||
\(834\) | −12.9235 | − | 3.79469i | −0.447505 | − | 0.131399i | ||||
\(835\) | −17.7600 | + | 11.4137i | −0.614610 | + | 0.394986i | ||||
\(836\) | −10.3244 | − | 22.6073i | −0.357077 | − | 0.781890i | ||||
\(837\) | 1.36046 | + | 1.57006i | 0.0470245 | + | 0.0542692i | ||||
\(838\) | −6.27442 | − | 4.03233i | −0.216746 | − | 0.139294i | ||||
\(839\) | 0.626028 | − | 4.35412i | 0.0216129 | − | 0.150321i | −0.976157 | − | 0.217064i | \(-0.930352\pi\) |
0.997770 | + | 0.0667435i | \(0.0212609\pi\) | |||||||
\(840\) | −0.642438 | + | 4.46825i | −0.0221662 | + | 0.154169i | ||||
\(841\) | −17.1341 | − | 11.0114i | −0.590830 | − | 0.379703i | ||||
\(842\) | 0.560671 | + | 0.647048i | 0.0193220 | + | 0.0222988i | ||||
\(843\) | 4.99823 | + | 10.9446i | 0.172148 | + | 0.376952i | ||||
\(844\) | 11.6814 | − | 7.50718i | 0.402090 | − | 0.258408i | ||||
\(845\) | −27.2619 | − | 8.00482i | −0.937838 | − | 0.275374i | ||||
\(846\) | 4.64946 | − | 5.36576i | 0.159852 | − | 0.184479i | ||||
\(847\) | −35.3293 | + | 10.3736i | −1.21393 | + | 0.356441i | ||||
\(848\) | 2.23847 | − | 4.90157i | 0.0768695 | − | 0.168321i | ||||
\(849\) | 1.46276 | + | 10.1737i | 0.0502019 | + | 0.349162i | ||||
\(850\) | −6.87859 | −0.235934 | ||||||||
\(851\) | 36.5256 | − | 6.55554i | 1.25208 | − | 0.224721i | ||||
\(852\) | −15.0703 | −0.516300 | ||||||||
\(853\) | −0.505055 | − | 3.51274i | −0.0172928 | − | 0.120274i | 0.979347 | − | 0.202189i | \(-0.0648055\pi\) |
−0.996639 | + | 0.0819151i | \(0.973896\pi\) | |||||||
\(854\) | 0.292387 | − | 0.640239i | 0.0100053 | − | 0.0219085i | ||||
\(855\) | −10.4446 | + | 3.06681i | −0.357198 | + | 0.104883i | ||||
\(856\) | −6.09274 | + | 7.03140i | −0.208246 | + | 0.240328i | ||||
\(857\) | −45.7825 | − | 13.4430i | −1.56390 | − | 0.459203i | −0.618683 | − | 0.785641i | \(-0.712334\pi\) |
−0.945219 | + | 0.326437i | \(0.894152\pi\) | |||||||
\(858\) | −5.36470 | + | 3.44768i | −0.183148 | + | 0.117702i | ||||
\(859\) | −14.0609 | − | 30.7891i | −0.479752 | − | 1.05051i | −0.982532 | − | 0.186096i | \(-0.940416\pi\) |
0.502779 | − | 0.864415i | \(-0.332311\pi\) | |||||||
\(860\) | −13.6449 | − | 15.7470i | −0.465286 | − | 0.536969i | ||||
\(861\) | 1.07486 | + | 0.690773i | 0.0366312 | + | 0.0235415i | ||||
\(862\) | −3.84759 | + | 26.7606i | −0.131049 | + | 0.911469i | ||||
\(863\) | 1.82291 | − | 12.6786i | 0.0620525 | − | 0.431585i | −0.934986 | − | 0.354684i | \(-0.884588\pi\) |
0.997039 | − | 0.0769006i | \(-0.0245024\pi\) | |||||||
\(864\) | −0.841254 | − | 0.540641i | −0.0286200 | − | 0.0183930i | ||||
\(865\) | 24.5729 | + | 28.3587i | 0.835505 | + | 0.964224i | ||||
\(866\) | 9.04977 | + | 19.8162i | 0.307524 | + | 0.673383i | ||||
\(867\) | 33.1174 | − | 21.2833i | 1.12473 | − | 0.722817i | ||||
\(868\) | 3.69947 | + | 1.08626i | 0.125568 | + | 0.0368702i | ||||
\(869\) | −38.3181 | + | 44.2214i | −1.29985 | + | 1.50011i | ||||
\(870\) | −6.85703 | + | 2.01341i | −0.232475 | + | 0.0682609i | ||||
\(871\) | 1.40863 | − | 3.08446i | 0.0477295 | − | 0.104513i | ||||
\(872\) | 2.06193 | + | 14.3410i | 0.0698258 | + | 0.485649i | ||||
\(873\) | −9.94247 | −0.336502 | ||||||||
\(874\) | −21.3380 | − | 2.31376i | −0.721769 | − | 0.0782643i | ||||
\(875\) | 18.4351 | 0.623221 | ||||||||
\(876\) | 1.63515 | + | 11.3727i | 0.0552465 | + | 0.384248i | ||||
\(877\) | −17.5440 | + | 38.4159i | −0.592417 | + | 1.29721i | 0.341553 | + | 0.939862i | \(0.389047\pi\) |
−0.933970 | + | 0.357350i | \(0.883680\pi\) | |||||||
\(878\) | 14.5232 | − | 4.26441i | 0.490136 | − | 0.143917i | ||||
\(879\) | 0.165245 | − | 0.190703i | 0.00557357 | − | 0.00643224i | ||||
\(880\) | 12.9604 | + | 3.80551i | 0.436894 | + | 0.128284i | ||||
\(881\) | 34.4876 | − | 22.1638i | 1.16192 | − | 0.746718i | 0.189939 | − | 0.981796i | \(-0.439171\pi\) |
0.971976 | + | 0.235078i | \(0.0755347\pi\) | |||||||
\(882\) | 1.47703 | + | 3.23425i | 0.0497342 | + | 0.108903i | ||||
\(883\) | −36.2725 | − | 41.8607i | −1.22067 | − | 1.40873i | −0.884250 | − | 0.467013i | \(-0.845330\pi\) |
−0.336418 | − | 0.941713i | \(-0.609215\pi\) | |||||||
\(884\) | 7.25274 | + | 4.66106i | 0.243936 | + | 0.156768i | ||||
\(885\) | −1.39655 | + | 9.71319i | −0.0469444 | + | 0.326505i | ||||
\(886\) | −2.17227 | + | 15.1084i | −0.0729787 | + | 0.507578i | ||||
\(887\) | 24.3710 | + | 15.6623i | 0.818299 | + | 0.525889i | 0.881540 | − | 0.472109i | \(-0.156507\pi\) |
−0.0632409 | + | 0.997998i | \(0.520144\pi\) | |||||||
\(888\) | 5.06718 | + | 5.84784i | 0.170043 | + | 0.196241i | ||||
\(889\) | 5.34789 | + | 11.7102i | 0.179362 | + | 0.392749i | ||||
\(890\) | 22.0494 | − | 14.1703i | 0.739097 | − | 0.474989i | ||||
\(891\) | −5.32839 | − | 1.56456i | −0.178508 | − | 0.0524146i | ||||
\(892\) | −2.47863 | + | 2.86050i | −0.0829908 | + | 0.0957765i | ||||
\(893\) | 30.4876 | − | 8.95197i | 1.02023 | − | 0.299566i | ||||
\(894\) | 4.63444 | − | 10.1480i | 0.154999 | − | 0.339400i | ||||
\(895\) | −2.09421 | − | 14.5656i | −0.0700018 | − | 0.486873i | ||||
\(896\) | −1.85592 | −0.0620020 | ||||||||
\(897\) | 0.191543 | + | 5.50383i | 0.00639544 | + | 0.183768i | ||||
\(898\) | −28.3538 | −0.946180 | ||||||||
\(899\) | 0.868684 | + | 6.04183i | 0.0289722 | + | 0.201506i | ||||
\(900\) | 0.380601 | − | 0.833401i | 0.0126867 | − | 0.0277800i | ||||
\(901\) | −38.8171 | + | 11.3977i | −1.29318 | + | 0.379713i | ||||
\(902\) | 2.50363 | − | 2.88934i | 0.0833617 | − | 0.0962046i | ||||
\(903\) | 15.2546 | + | 4.47915i | 0.507641 | + | 0.149057i | ||||
\(904\) | −12.3702 | + | 7.94983i | −0.411426 | + | 0.264407i | ||||
\(905\) | 6.33318 | + | 13.8677i | 0.210522 | + | 0.460979i | ||||
\(906\) | 10.0198 | + | 11.5634i | 0.332884 | + | 0.384169i | ||||
\(907\) | −18.8032 | − | 12.0841i | −0.624348 | − | 0.401244i | 0.189865 | − | 0.981810i | \(-0.439195\pi\) |
−0.814213 | + | 0.580566i | \(0.802831\pi\) | |||||||
\(908\) | −1.39927 | + | 9.73215i | −0.0464365 | + | 0.322973i | ||||
\(909\) | 0.699056 | − | 4.86204i | 0.0231862 | − | 0.161264i | ||||
\(910\) | 4.36086 | + | 2.80255i | 0.144561 | + | 0.0929037i | ||||
\(911\) | 22.0772 | + | 25.4785i | 0.731451 | + | 0.844139i | 0.992634 | − | 0.121150i | \(-0.0386583\pi\) |
−0.261184 | + | 0.965289i | \(0.584113\pi\) | |||||||
\(912\) | −1.85913 | − | 4.07093i | −0.0615621 | − | 0.134802i | ||||
\(913\) | 48.8127 | − | 31.3700i | 1.61547 | − | 1.03820i | ||||
\(914\) | −18.9817 | − | 5.57352i | −0.627858 | − | 0.184356i | ||||
\(915\) | −0.604070 | + | 0.697134i | −0.0199699 | + | 0.0230465i | ||||
\(916\) | 18.9717 | − | 5.57060i | 0.626843 | − | 0.184058i | ||||
\(917\) | 2.61581 | − | 5.72781i | 0.0863815 | − | 0.189149i | ||||
\(918\) | 1.06847 | + | 7.43136i | 0.0352647 | + | 0.245271i | ||||
\(919\) | 41.0403 | 1.35380 | 0.676898 | − | 0.736077i | \(-0.263324\pi\) | ||||
0.676898 | + | 0.736077i | \(0.263324\pi\) | |||||||
\(920\) | 8.54481 | − | 7.94096i | 0.281714 | − | 0.261806i | ||||
\(921\) | −0.292252 | −0.00963004 | ||||||||
\(922\) | 1.55841 | + | 10.8390i | 0.0513237 | + | 0.356964i | ||||
\(923\) | −7.18899 | + | 15.7417i | −0.236629 | + | 0.518144i | ||||
\(924\) | −9.88908 | + | 2.90370i | −0.325327 | + | 0.0955246i | ||||
\(925\) | −4.64253 | + | 5.35776i | −0.152645 | + | 0.176162i | ||||
\(926\) | −9.22426 | − | 2.70849i | −0.303128 | − | 0.0890064i | ||||
\(927\) | −6.59787 | + | 4.24019i | −0.216702 | + | 0.139266i | ||||
\(928\) | −1.22055 | − | 2.67263i | −0.0400665 | − | 0.0877334i | ||||
\(929\) | 22.4388 | + | 25.8958i | 0.736194 | + | 0.849613i | 0.993154 | − | 0.116809i | \(-0.0372665\pi\) |
−0.256960 | + | 0.966422i | \(0.582721\pi\) | |||||||
\(930\) | −4.25096 | − | 2.73192i | −0.139394 | − | 0.0895833i | ||||
\(931\) | −2.26457 | + | 15.7504i | −0.0742183 | + | 0.516200i | ||||
\(932\) | 2.37893 | − | 16.5458i | 0.0779244 | − | 0.541976i | ||||
\(933\) | −7.62025 | − | 4.89724i | −0.249476 | − | 0.160328i | ||||
\(934\) | −10.3864 | − | 11.9866i | −0.339855 | − | 0.392213i | ||||
\(935\) | −42.1278 | − | 92.2471i | −1.37773 | − | 3.01680i | ||||
\(936\) | −0.966031 | + | 0.620830i | −0.0315757 | + | 0.0202925i | ||||
\(937\) | −9.52597 | − | 2.79708i | −0.311200 | − | 0.0913766i | 0.122403 | − | 0.992480i | \(-0.460940\pi\) |
−0.433603 | + | 0.901104i | \(0.642758\pi\) | |||||||
\(938\) | 3.58888 | − | 4.14179i | 0.117181 | − | 0.135234i | ||||
\(939\) | −5.48765 | + | 1.61132i | −0.179083 | + | 0.0525835i | ||||
\(940\) | −7.17392 | + | 15.7087i | −0.233988 | + | 0.512361i | ||||
\(941\) | −2.54908 | − | 17.7293i | −0.0830977 | − | 0.577957i | −0.988247 | − | 0.152864i | \(-0.951150\pi\) |
0.905150 | − | 0.425093i | \(-0.139759\pi\) | |||||||
\(942\) | −2.83359 | −0.0923233 | ||||||||
\(943\) | −1.03980 | − | 3.13364i | −0.0338606 | − | 0.102045i | ||||
\(944\) | −4.03445 | −0.131310 | ||||||||
\(945\) | 0.642438 | + | 4.46825i | 0.0208985 | + | 0.145352i | ||||
\(946\) | 19.7622 | − | 43.2732i | 0.642525 | − | 1.40693i | ||||
\(947\) | −34.9446 | + | 10.2607i | −1.13555 | + | 0.333427i | −0.794886 | − | 0.606759i | \(-0.792469\pi\) |
−0.340662 | + | 0.940186i | \(0.610651\pi\) | |||||||
\(948\) | −6.90000 | + | 7.96302i | −0.224102 | + | 0.258627i | ||||
\(949\) | 12.6594 | + | 3.71713i | 0.410941 | + | 0.120663i | ||||
\(950\) | 3.44940 | − | 2.21679i | 0.111913 | − | 0.0719223i | ||||
\(951\) | −7.60662 | − | 16.6562i | −0.246662 | − | 0.540114i | ||||
\(952\) | 9.12473 | + | 10.5305i | 0.295734 | + | 0.341295i | ||||
\(953\) | −37.7109 | − | 24.2353i | −1.22157 | − | 0.785058i | −0.239016 | − | 0.971016i | \(-0.576825\pi\) |
−0.982558 | + | 0.185957i | \(0.940461\pi\) | |||||||
\(954\) | 0.766867 | − | 5.33368i | 0.0248282 | − | 0.172684i | ||||
\(955\) | 6.67771 | − | 46.4445i | 0.216086 | − | 1.50291i | ||||
\(956\) | −7.19559 | − | 4.62433i | −0.232722 | − | 0.149561i | ||||
\(957\) | −10.6850 | − | 12.3312i | −0.345399 | − | 0.398611i | ||||
\(958\) | −11.7357 | − | 25.6977i | −0.379164 | − | 0.830254i | ||||
\(959\) | 14.3948 | − | 9.25096i | 0.464831 | − | 0.298729i | ||||
\(960\) | 2.33380 | + | 0.685265i | 0.0753230 | + | 0.0221168i | ||||
\(961\) | 17.4743 | − | 20.1665i | 0.563688 | − | 0.650531i | ||||
\(962\) | 8.52557 | − | 2.50333i | 0.274875 | − | 0.0807107i | ||||
\(963\) | −3.86497 | + | 8.46310i | −0.124547 | + | 0.272720i | ||||
\(964\) | −3.00884 | − | 20.9269i | −0.0969082 | − | 0.674011i | ||||
\(965\) | 62.9496 | 2.02642 | ||||||||
\(966\) | −2.20906 | + | 8.62220i | −0.0710755 | + | 0.277415i | ||||
\(967\) | −15.8234 | −0.508846 | −0.254423 | − | 0.967093i | \(-0.581885\pi\) | ||||
−0.254423 | + | 0.967093i | \(0.581885\pi\) | |||||||
\(968\) | 2.82347 | + | 19.6377i | 0.0907498 | + | 0.631179i | ||||
\(969\) | −13.9580 | + | 30.5637i | −0.448394 | + | 0.981847i | ||||
\(970\) | 23.2037 | − | 6.81323i | 0.745026 | − | 0.218759i | ||||
\(971\) | 15.9576 | − | 18.4161i | 0.512105 | − | 0.591001i | −0.439531 | − | 0.898227i | \(-0.644856\pi\) |
0.951636 | + | 0.307227i | \(0.0994010\pi\) | |||||||
\(972\) | −0.959493 | − | 0.281733i | −0.0307758 | − | 0.00903658i | ||||
\(973\) | −21.0293 | + | 13.5147i | −0.674170 | + | 0.433263i | ||||
\(974\) | 0.840018 | + | 1.83938i | 0.0269159 | + | 0.0589377i | ||||
\(975\) | −0.688971 | − | 0.795115i | −0.0220647 | − | 0.0254641i | ||||
\(976\) | −0.319039 | − | 0.205034i | −0.0102122 | − | 0.00656298i | ||||
\(977\) | 0.300639 | − | 2.09099i | 0.00961831 | − | 0.0668968i | −0.984447 | − | 0.175682i | \(-0.943787\pi\) |
0.994065 | + | 0.108785i | \(0.0346961\pi\) | |||||||
\(978\) | 3.55284 | − | 24.7105i | 0.113607 | − | 0.790155i | ||||
\(979\) | 50.3419 | + | 32.3528i | 1.60893 | + | 1.03400i | ||||
\(980\) | −5.66340 | − | 6.53592i | −0.180911 | − | 0.208782i | ||||
\(981\) | 6.01875 | + | 13.1792i | 0.192164 | + | 0.420780i | ||||
\(982\) | −15.4989 | + | 9.96053i | −0.494590 | + | 0.317853i | ||||
\(983\) | 5.63251 | + | 1.65385i | 0.179649 | + | 0.0527497i | 0.370320 | − | 0.928904i | \(-0.379248\pi\) |
−0.190671 | + | 0.981654i | \(0.561066\pi\) | |||||||
\(984\) | 0.450833 | − | 0.520289i | 0.0143720 | − | 0.0165862i | ||||
\(985\) | 42.9029 | − | 12.5974i | 1.36700 | − | 0.401387i | ||||
\(986\) | −9.16361 | + | 20.0655i | −0.291829 | + | 0.639016i | ||||
\(987\) | −1.87527 | − | 13.0428i | −0.0596904 | − | 0.415156i | ||||
\(988\) | −5.13916 | −0.163499 | ||||||||
\(989\) | −23.3998 | − | 33.7679i | −0.744071 | − | 1.07376i | ||||
\(990\) | 13.5075 | 0.429297 | ||||||||
\(991\) | 7.05110 | + | 49.0415i | 0.223985 | + | 1.55785i | 0.722746 | + | 0.691114i | \(0.242880\pi\) |
−0.498761 | + | 0.866740i | \(0.666211\pi\) | |||||||
\(992\) | 0.863019 | − | 1.88975i | 0.0274009 | − | 0.0599996i | ||||
\(993\) | 1.10801 | − | 0.325341i | 0.0351616 | − | 0.0103244i | ||||
\(994\) | −18.3160 | + | 21.1378i | −0.580948 | + | 0.670450i | ||||
\(995\) | 20.2051 | + | 5.93276i | 0.640546 | + | 0.188081i | ||||
\(996\) | 8.78979 | − | 5.64886i | 0.278515 | − | 0.178991i | ||||
\(997\) | −0.732045 | − | 1.60296i | −0.0231841 | − | 0.0507661i | 0.897686 | − | 0.440636i | \(-0.145247\pi\) |
−0.920870 | + | 0.389870i | \(0.872520\pi\) | |||||||
\(998\) | −8.27053 | − | 9.54470i | −0.261799 | − | 0.302132i | ||||
\(999\) | 6.50945 | + | 4.18337i | 0.205950 | + | 0.132356i |
(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 | 138.2.e.c.49.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.b.325.1 | 10 | |||
23.8 | even | 11 | inner | 138.2.e.c.31.1 | ✓ | 10 | |
23.10 | odd | 22 | 3174.2.a.y.1.5 | 5 | |||
23.13 | even | 11 | 3174.2.a.z.1.1 | 5 | |||
69.8 | odd | 22 | 414.2.i.b.307.1 | 10 | |||
69.56 | even | 22 | 9522.2.a.ca.1.1 | 5 | |||
69.59 | odd | 22 | 9522.2.a.bv.1.5 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.c.31.1 | ✓ | 10 | 23.8 | even | 11 | inner | |
138.2.e.c.49.1 | yes | 10 | 1.1 | even | 1 | trivial | |
414.2.i.b.307.1 | 10 | 69.8 | odd | 22 | |||
414.2.i.b.325.1 | 10 | 3.2 | odd | 2 | |||
3174.2.a.y.1.5 | 5 | 23.10 | odd | 22 | |||
3174.2.a.z.1.1 | 5 | 23.13 | even | 11 | |||
9522.2.a.bv.1.5 | 5 | 69.59 | odd | 22 | |||
9522.2.a.ca.1.1 | 5 | 69.56 | even | 22 |