Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (of order \(3\), degree \(2\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.2 | ||
Root | \(3.10658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.487 |
Dual form | 729.2.c.d.244.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.388866 | + | 0.673536i | −0.274970 | + | 0.476262i | −0.970128 | − | 0.242595i | \(-0.922001\pi\) |
0.695158 | + | 0.718857i | \(0.255335\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.697566 | + | 1.20822i | 0.348783 | + | 0.604110i | ||||
\(5\) | −1.18817 | − | 2.05798i | −0.531367 | − | 0.920355i | −0.999330 | − | 0.0366070i | \(-0.988345\pi\) |
0.467962 | − | 0.883748i | \(-0.344988\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.25069 | − | 2.16626i | 0.472716 | − | 0.818768i | −0.526797 | − | 0.849991i | \(-0.676607\pi\) |
0.999512 | + | 0.0312237i | \(0.00994042\pi\) | |||||||
\(8\) | −2.64050 | −0.933559 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.84816 | 0.584440 | ||||||||
\(11\) | −1.57069 | + | 2.72051i | −0.473579 | + | 0.820264i | −0.999543 | − | 0.0302437i | \(-0.990372\pi\) |
0.525963 | + | 0.850507i | \(0.323705\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.668315 | − | 1.15756i | −0.185357 | − | 0.321048i | 0.758340 | − | 0.651860i | \(-0.226011\pi\) |
−0.943697 | + | 0.330812i | \(0.892678\pi\) | |||||||
\(14\) | 0.972701 | + | 1.68477i | 0.259965 | + | 0.450273i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.368329 | + | 0.637965i | −0.0920824 | + | 0.159491i | ||||
\(17\) | 6.27452 | 1.52179 | 0.760897 | − | 0.648873i | \(-0.224759\pi\) | ||||
0.760897 | + | 0.648873i | \(0.224759\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 8.06469 | 1.85017 | 0.925083 | − | 0.379765i | \(-0.123995\pi\) | ||||
0.925083 | + | 0.379765i | \(0.123995\pi\) | |||||||
\(20\) | 1.65766 | − | 2.87115i | 0.370664 | − | 0.642009i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.22157 | − | 2.11583i | −0.260440 | − | 0.451096i | ||||
\(23\) | −2.02730 | − | 3.51139i | −0.422721 | − | 0.732174i | 0.573483 | − | 0.819217i | \(-0.305592\pi\) |
−0.996205 | + | 0.0870427i | \(0.972258\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.323514 | + | 0.560343i | −0.0647028 | + | 0.112069i | ||||
\(26\) | 1.03954 | 0.203871 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.48975 | 0.659501 | ||||||||
\(29\) | 4.64361 | − | 8.04297i | 0.862297 | − | 1.49354i | −0.00740849 | − | 0.999973i | \(-0.502358\pi\) |
0.869706 | − | 0.493570i | \(-0.164308\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.41591 | − | 2.45243i | −0.254305 | − | 0.440469i | 0.710402 | − | 0.703797i | \(-0.248513\pi\) |
−0.964707 | + | 0.263327i | \(0.915180\pi\) | |||||||
\(32\) | −2.92697 | − | 5.06965i | −0.517419 | − | 0.896197i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.43995 | + | 4.22611i | −0.418448 | + | 0.724772i | ||||
\(35\) | −5.94414 | −1.00474 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.53191 | 0.909441 | 0.454720 | − | 0.890634i | \(-0.349739\pi\) | ||||
0.454720 | + | 0.890634i | \(0.349739\pi\) | |||||||
\(38\) | −3.13608 | + | 5.43186i | −0.508740 | + | 0.881164i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.13738 | + | 5.43410i | 0.496063 | + | 0.859206i | ||||
\(41\) | 3.55288 | + | 6.15377i | 0.554867 | + | 0.961057i | 0.997914 | + | 0.0645591i | \(0.0205641\pi\) |
−0.443047 | + | 0.896498i | \(0.646103\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.16845 | + | 2.02382i | −0.178187 | + | 0.308629i | −0.941260 | − | 0.337684i | \(-0.890357\pi\) |
0.763073 | + | 0.646313i | \(0.223690\pi\) | |||||||
\(44\) | −4.38263 | −0.660706 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.15339 | 0.464942 | ||||||||
\(47\) | 2.30710 | − | 3.99602i | 0.336526 | − | 0.582879i | −0.647251 | − | 0.762277i | \(-0.724081\pi\) |
0.983777 | + | 0.179397i | \(0.0574148\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.371558 | + | 0.643557i | 0.0530797 | + | 0.0919368i | ||||
\(50\) | −0.251607 | − | 0.435797i | −0.0355827 | − | 0.0616310i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.932388 | − | 1.61494i | 0.129299 | − | 0.223952i | ||||
\(53\) | 0.135496 | 0.0186118 | 0.00930588 | − | 0.999957i | \(-0.497038\pi\) | ||||
0.00930588 | + | 0.999957i | \(0.497038\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.46499 | 1.00658 | ||||||||
\(56\) | −3.30245 | + | 5.72001i | −0.441308 | + | 0.764368i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.61149 | + | 6.25528i | 0.474212 | + | 0.821359i | ||||
\(59\) | 1.99937 | + | 3.46301i | 0.260296 | + | 0.450845i | 0.966320 | − | 0.257342i | \(-0.0828466\pi\) |
−0.706025 | + | 0.708187i | \(0.749513\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.170899 | + | 0.296006i | −0.0218814 | + | 0.0378997i | −0.876759 | − | 0.480930i | \(-0.840299\pi\) |
0.854877 | + | 0.518830i | \(0.173632\pi\) | |||||||
\(62\) | 2.20240 | 0.279705 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.07947 | 0.384934 | ||||||||
\(65\) | −1.58815 | + | 2.75075i | −0.196986 | + | 0.341189i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.06146 | − | 8.76670i | −0.618356 | − | 1.07102i | −0.989786 | − | 0.142563i | \(-0.954466\pi\) |
0.371430 | − | 0.928461i | \(-0.378868\pi\) | |||||||
\(68\) | 4.37689 | + | 7.58100i | 0.530776 | + | 0.919331i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.31148 | − | 4.00359i | 0.276274 | − | 0.478521i | ||||
\(71\) | 8.19080 | 0.972069 | 0.486035 | − | 0.873940i | \(-0.338443\pi\) | ||||
0.486035 | + | 0.873940i | \(0.338443\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.3144 | −1.44130 | −0.720648 | − | 0.693301i | \(-0.756156\pi\) | ||||
−0.720648 | + | 0.693301i | \(0.756156\pi\) | |||||||
\(74\) | −2.15117 | + | 3.72594i | −0.250069 | + | 0.433132i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.62565 | + | 9.74392i | 0.645307 | + | 1.11770i | ||||
\(77\) | 3.92888 | + | 6.80501i | 0.447737 | + | 0.775503i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.04035 | + | 3.53399i | −0.229557 | + | 0.397605i | −0.957677 | − | 0.287845i | \(-0.907061\pi\) |
0.728120 | + | 0.685450i | \(0.240394\pi\) | |||||||
\(80\) | 1.75056 | 0.195718 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.52638 | −0.610287 | ||||||||
\(83\) | −0.456614 | + | 0.790879i | −0.0501199 | + | 0.0868102i | −0.889997 | − | 0.455966i | \(-0.849294\pi\) |
0.839877 | + | 0.542777i | \(0.182627\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.45522 | − | 12.9128i | −0.808632 | − | 1.40059i | ||||
\(86\) | −0.908742 | − | 1.57399i | −0.0979922 | − | 0.169727i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.14740 | − | 7.18351i | 0.442114 | − | 0.765765i | ||||
\(89\) | −3.72875 | −0.395246 | −0.197623 | − | 0.980278i | \(-0.563322\pi\) | ||||
−0.197623 | + | 0.980278i | \(0.563322\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.34341 | −0.350485 | ||||||||
\(92\) | 2.82835 | − | 4.89885i | 0.294876 | − | 0.510740i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.79431 | + | 3.10783i | 0.185069 | + | 0.320549i | ||||
\(95\) | −9.58225 | − | 16.5969i | −0.983118 | − | 1.70281i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.99815 | − | 5.19294i | 0.304416 | − | 0.527264i | −0.672715 | − | 0.739901i | \(-0.734872\pi\) |
0.977131 | + | 0.212638i | \(0.0682054\pi\) | |||||||
\(98\) | −0.577945 | −0.0583813 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.902690 | −0.0902690 | ||||||||
\(101\) | −5.11086 | + | 8.85226i | −0.508549 | + | 0.880833i | 0.491402 | + | 0.870933i | \(0.336485\pi\) |
−0.999951 | + | 0.00990009i | \(0.996849\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.26703 | − | 7.39071i | −0.420443 | − | 0.728229i | 0.575540 | − | 0.817774i | \(-0.304792\pi\) |
−0.995983 | + | 0.0895452i | \(0.971459\pi\) | |||||||
\(104\) | 1.76469 | + | 3.05653i | 0.173042 | + | 0.299717i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0526897 | + | 0.0912612i | −0.00511768 | + | 0.00886408i | ||||
\(107\) | −7.74500 | −0.748738 | −0.374369 | − | 0.927280i | \(-0.622141\pi\) | ||||
−0.374369 | + | 0.927280i | \(0.622141\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.25438 | 0.120148 | 0.0600738 | − | 0.998194i | \(-0.480866\pi\) | ||||
0.0600738 | + | 0.998194i | \(0.480866\pi\) | |||||||
\(110\) | −2.90288 | + | 5.02794i | −0.276779 | + | 0.479395i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.921331 | + | 1.59579i | 0.0870576 | + | 0.150788i | ||||
\(113\) | 8.88038 | + | 15.3813i | 0.835396 | + | 1.44695i | 0.893707 | + | 0.448650i | \(0.148095\pi\) |
−0.0583110 | + | 0.998298i | \(0.518572\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.81757 | + | 8.34427i | −0.449241 | + | 0.778107i | ||||
\(116\) | 12.9569 | 1.20302 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.10995 | −0.286294 | ||||||||
\(119\) | 7.84747 | − | 13.5922i | 0.719376 | − | 1.24600i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.565896 | + | 0.980160i | 0.0514451 | + | 0.0891055i | ||||
\(122\) | −0.132914 | − | 0.230213i | −0.0120334 | − | 0.0208425i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.97538 | − | 3.42146i | 0.177395 | − | 0.307256i | ||||
\(125\) | −10.3442 | −0.925211 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.96558 | −0.351888 | −0.175944 | − | 0.984400i | \(-0.556298\pi\) | ||||
−0.175944 | + | 0.984400i | \(0.556298\pi\) | |||||||
\(128\) | 4.65643 | − | 8.06517i | 0.411574 | − | 0.712867i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.23515 | − | 2.13935i | −0.108330 | − | 0.187633i | ||||
\(131\) | 0.0512492 | + | 0.0887662i | 0.00447766 | + | 0.00775554i | 0.868256 | − | 0.496117i | \(-0.165241\pi\) |
−0.863778 | + | 0.503873i | \(0.831908\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.0864 | − | 17.4702i | 0.874603 | − | 1.51486i | ||||
\(134\) | 7.87292 | 0.680117 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.5679 | −1.42068 | ||||||||
\(137\) | 3.80977 | − | 6.59872i | 0.325491 | − | 0.563767i | −0.656121 | − | 0.754656i | \(-0.727804\pi\) |
0.981612 | + | 0.190889i | \(0.0611371\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.22037 | + | 9.04194i | 0.442786 | + | 0.766927i | 0.997895 | − | 0.0648502i | \(-0.0206570\pi\) |
−0.555109 | + | 0.831777i | \(0.687324\pi\) | |||||||
\(140\) | −4.14643 | − | 7.18183i | −0.350437 | − | 0.606975i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.18513 | + | 5.51680i | −0.267290 | + | 0.462960i | ||||
\(143\) | 4.19885 | 0.351125 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −22.0697 | −1.83279 | ||||||||
\(146\) | 4.78867 | − | 8.29422i | 0.396313 | − | 0.686434i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.85887 | + | 6.68377i | 0.317198 | + | 0.549402i | ||||
\(149\) | −4.51629 | − | 7.82244i | −0.369989 | − | 0.640839i | 0.619575 | − | 0.784938i | \(-0.287305\pi\) |
−0.989563 | + | 0.144098i | \(0.953972\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.9452 | + | 20.6897i | −0.972086 | + | 1.68370i | −0.282853 | + | 0.959163i | \(0.591281\pi\) |
−0.689234 | + | 0.724539i | \(0.742053\pi\) | |||||||
\(152\) | −21.2948 | −1.72724 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.11123 | −0.492457 | ||||||||
\(155\) | −3.36470 | + | 5.82782i | −0.270259 | + | 0.468102i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.35599 | − | 2.34865i | −0.108220 | − | 0.187443i | 0.806829 | − | 0.590785i | \(-0.201182\pi\) |
−0.915049 | + | 0.403342i | \(0.867848\pi\) | |||||||
\(158\) | −1.58684 | − | 2.74850i | −0.126243 | − | 0.218659i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.95549 | + | 12.0473i | −0.549880 | + | 0.952420i | ||||
\(161\) | −10.1421 | −0.799308 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −22.0489 | −1.72701 | −0.863504 | − | 0.504343i | \(-0.831735\pi\) | ||||
−0.863504 | + | 0.504343i | \(0.831735\pi\) | |||||||
\(164\) | −4.95674 | + | 8.58532i | −0.387056 | + | 0.670401i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.355124 | − | 0.615092i | −0.0275629 | − | 0.0477404i | ||||
\(167\) | 4.47540 | + | 7.75162i | 0.346317 | + | 0.599839i | 0.985592 | − | 0.169139i | \(-0.0540988\pi\) |
−0.639275 | + | 0.768978i | \(0.720765\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.60671 | − | 9.71111i | 0.431285 | − | 0.747008i | ||||
\(170\) | 11.5963 | 0.889398 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.26029 | −0.248595 | ||||||||
\(173\) | 1.31712 | − | 2.28133i | 0.100139 | − | 0.173446i | −0.811603 | − | 0.584210i | \(-0.801405\pi\) |
0.911742 | + | 0.410764i | \(0.134738\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.809231 | + | 1.40163i | 0.0611721 | + | 0.105953i | ||||
\(176\) | −1.15706 | − | 2.00409i | −0.0872166 | − | 0.151064i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.44998 | − | 2.51144i | 0.108681 | − | 0.188241i | ||||
\(179\) | −3.68453 | −0.275395 | −0.137697 | − | 0.990474i | \(-0.543970\pi\) | ||||
−0.137697 | + | 0.990474i | \(0.543970\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.268509 | −0.0199581 | −0.00997906 | − | 0.999950i | \(-0.503176\pi\) | ||||
−0.00997906 | + | 0.999950i | \(0.503176\pi\) | |||||||
\(182\) | 1.30014 | − | 2.25191i | 0.0963729 | − | 0.166923i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.35309 | + | 9.27183i | 0.394635 | + | 0.683528i | ||||
\(185\) | −6.57287 | − | 11.3845i | −0.483247 | − | 0.837009i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.85529 | + | 17.0699i | −0.720690 | + | 1.24827i | ||||
\(188\) | 6.43743 | 0.469498 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 14.9049 | 1.08131 | ||||||||
\(191\) | −1.19899 | + | 2.07672i | −0.0867561 | + | 0.150266i | −0.906138 | − | 0.422982i | \(-0.860983\pi\) |
0.819382 | + | 0.573248i | \(0.194317\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.248101 | − | 0.429724i | −0.0178587 | − | 0.0309322i | 0.856958 | − | 0.515386i | \(-0.172352\pi\) |
−0.874817 | + | 0.484454i | \(0.839018\pi\) | |||||||
\(194\) | 2.33176 | + | 4.03872i | 0.167410 | + | 0.289963i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.518373 | + | 0.897848i | −0.0370266 | + | 0.0641320i | ||||
\(197\) | 22.1468 | 1.57789 | 0.788946 | − | 0.614462i | \(-0.210627\pi\) | ||||
0.788946 | + | 0.614462i | \(0.210627\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.13247 | 0.151167 | 0.0755834 | − | 0.997139i | \(-0.475918\pi\) | ||||
0.0755834 | + | 0.997139i | \(0.475918\pi\) | |||||||
\(200\) | 0.854240 | − | 1.47959i | 0.0604039 | − | 0.104623i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.97488 | − | 6.88469i | −0.279671 | − | 0.484405i | ||||
\(203\) | −11.6154 | − | 20.1185i | −0.815243 | − | 1.41204i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.44288 | − | 14.6235i | 0.589676 | − | 1.02135i | ||||
\(206\) | 6.63721 | 0.462437 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.984641 | 0.0682725 | ||||||||
\(209\) | −12.6671 | + | 21.9400i | −0.876201 | + | 1.51762i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.0043 | − | 17.3279i | −0.688724 | − | 1.19290i | −0.972251 | − | 0.233941i | \(-0.924838\pi\) |
0.283527 | − | 0.958964i | \(-0.408495\pi\) | |||||||
\(212\) | 0.0945172 | + | 0.163709i | 0.00649147 | + | 0.0112436i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.01177 | − | 5.21654i | 0.205880 | − | 0.356595i | ||||
\(215\) | 5.55329 | 0.378731 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.08345 | −0.480856 | ||||||||
\(218\) | −0.487785 | + | 0.844868i | −0.0330370 | + | 0.0572217i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.20732 | + | 9.01935i | 0.351078 | + | 0.608084i | ||||
\(221\) | −4.19335 | − | 7.26310i | −0.282076 | − | 0.488569i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.63923 | − | 11.4995i | 0.444596 | − | 0.770063i | −0.553428 | − | 0.832897i | \(-0.686681\pi\) |
0.998024 | + | 0.0628343i | \(0.0200140\pi\) | |||||||
\(224\) | −14.6429 | −0.978369 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.8131 | −0.918835 | ||||||||
\(227\) | −6.23547 | + | 10.8001i | −0.413862 | + | 0.716831i | −0.995308 | − | 0.0967544i | \(-0.969154\pi\) |
0.581446 | + | 0.813585i | \(0.302487\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.8308 | − | 22.2236i | −0.847882 | − | 1.46857i | −0.883095 | − | 0.469194i | \(-0.844544\pi\) |
0.0352131 | − | 0.999380i | \(-0.488789\pi\) | |||||||
\(230\) | −3.74678 | − | 6.48961i | −0.247055 | − | 0.427912i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.2615 | + | 21.2375i | −0.805006 | + | 1.39431i | ||||
\(233\) | 5.39642 | 0.353532 | 0.176766 | − | 0.984253i | \(-0.443436\pi\) | ||||
0.176766 | + | 0.984253i | \(0.443436\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.9650 | −0.715275 | ||||||||
\(236\) | −2.78938 | + | 4.83136i | −0.181573 | + | 0.314494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.10323 | + | 10.5711i | 0.395613 | + | 0.685223i | ||||
\(239\) | 4.18552 | + | 7.24954i | 0.270739 | + | 0.468934i | 0.969051 | − | 0.246860i | \(-0.0793987\pi\) |
−0.698312 | + | 0.715793i | \(0.746065\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.221095 | − | 0.382947i | 0.0142420 | − | 0.0246678i | −0.858817 | − | 0.512283i | \(-0.828800\pi\) |
0.873059 | + | 0.487615i | \(0.162133\pi\) | |||||||
\(242\) | −0.880231 | −0.0565834 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.476854 | −0.0305274 | ||||||||
\(245\) | 0.882951 | − | 1.52932i | 0.0564097 | − | 0.0977044i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.38975 | − | 9.33532i | −0.342942 | − | 0.593992i | ||||
\(248\) | 3.73872 | + | 6.47565i | 0.237409 | + | 0.411204i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.02250 | − | 6.96717i | 0.254405 | − | 0.440643i | ||||
\(251\) | −17.0285 | −1.07483 | −0.537416 | − | 0.843317i | \(-0.680599\pi\) | ||||
−0.537416 | + | 0.843317i | \(0.680599\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.7370 | 0.800768 | ||||||||
\(254\) | 1.54208 | − | 2.67096i | 0.0967587 | − | 0.167591i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.70093 | + | 11.6064i | 0.418808 | + | 0.725397i | ||||
\(257\) | 10.4384 | + | 18.0798i | 0.651127 | + | 1.12779i | 0.982850 | + | 0.184408i | \(0.0590368\pi\) |
−0.331723 | + | 0.943377i | \(0.607630\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.91870 | − | 11.9835i | 0.429907 | − | 0.744621i | ||||
\(260\) | −4.43136 | −0.274821 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.0797163 | −0.00492489 | ||||||||
\(263\) | 9.69578 | − | 16.7936i | 0.597867 | − | 1.03554i | −0.395268 | − | 0.918566i | \(-0.629348\pi\) |
0.993135 | − | 0.116971i | \(-0.0373184\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.160992 | − | 0.278847i | −0.00988969 | − | 0.0171294i | ||||
\(266\) | 7.84453 | + | 13.5871i | 0.480979 | + | 0.833080i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.06141 | − | 12.2307i | 0.431344 | − | 0.747110i | ||||
\(269\) | −18.6791 | −1.13889 | −0.569443 | − | 0.822031i | \(-0.692841\pi\) | ||||
−0.569443 | + | 0.822031i | \(0.692841\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.9378 | 0.785917 | 0.392958 | − | 0.919556i | \(-0.371452\pi\) | ||||
0.392958 | + | 0.919556i | \(0.371452\pi\) | |||||||
\(272\) | −2.31109 | + | 4.00293i | −0.140130 | + | 0.242713i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.96298 | + | 5.13204i | 0.179000 | + | 0.310038i | ||||
\(275\) | −1.01628 | − | 1.76024i | −0.0612838 | − | 0.106147i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.22066 | + | 9.04246i | −0.313679 | + | 0.543309i | −0.979156 | − | 0.203110i | \(-0.934895\pi\) |
0.665477 | + | 0.746419i | \(0.268228\pi\) | |||||||
\(278\) | −8.12009 | −0.487011 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 15.6955 | 0.937987 | ||||||||
\(281\) | 7.17290 | − | 12.4238i | 0.427899 | − | 0.741143i | −0.568787 | − | 0.822485i | \(-0.692587\pi\) |
0.996686 | + | 0.0813417i | \(0.0259205\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.34630 | + | 16.1883i | 0.555580 | + | 0.962293i | 0.997858 | + | 0.0654150i | \(0.0208371\pi\) |
−0.442278 | + | 0.896878i | \(0.645830\pi\) | |||||||
\(284\) | 5.71363 | + | 9.89629i | 0.339041 | + | 0.587237i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.63279 | + | 2.82808i | −0.0965489 | + | 0.167228i | ||||
\(287\) | 17.7742 | 1.04918 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 22.3696 | 1.31586 | ||||||||
\(290\) | 8.58215 | − | 14.8647i | 0.503961 | − | 0.872887i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.59014 | − | 14.8786i | −0.502700 | − | 0.870701i | ||||
\(293\) | −5.39409 | − | 9.34284i | −0.315126 | − | 0.545815i | 0.664338 | − | 0.747432i | \(-0.268714\pi\) |
−0.979464 | + | 0.201618i | \(0.935380\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.75120 | − | 8.22931i | 0.276625 | − | 0.479129i | ||||
\(296\) | −14.6070 | −0.849017 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.02493 | 0.406943 | ||||||||
\(299\) | −2.70975 | + | 4.69342i | −0.156709 | + | 0.271428i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.92274 | + | 5.06233i | 0.168464 | + | 0.291788i | ||||
\(302\) | −9.29016 | − | 16.0910i | −0.534589 | − | 0.925935i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.97046 | + | 5.14499i | −0.170368 | + | 0.295086i | ||||
\(305\) | 0.812231 | 0.0465082 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.0497494 | 0.00283935 | 0.00141967 | − | 0.999999i | \(-0.499548\pi\) | ||||
0.00141967 | + | 0.999999i | \(0.499548\pi\) | |||||||
\(308\) | −5.48130 | + | 9.49389i | −0.312326 | + | 0.540965i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.61683 | − | 4.53249i | −0.148626 | − | 0.257428i | ||||
\(311\) | 6.61773 | + | 11.4622i | 0.375257 | + | 0.649964i | 0.990365 | − | 0.138478i | \(-0.0442211\pi\) |
−0.615108 | + | 0.788443i | \(0.710888\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.54146 | − | 13.0622i | 0.426268 | − | 0.738319i | −0.570269 | − | 0.821458i | \(-0.693161\pi\) |
0.996538 | + | 0.0831390i | \(0.0264946\pi\) | |||||||
\(314\) | 2.10920 | 0.119029 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.69311 | −0.320263 | ||||||||
\(317\) | 4.31541 | − | 7.47451i | 0.242378 | − | 0.419810i | −0.719013 | − | 0.694996i | \(-0.755406\pi\) |
0.961391 | + | 0.275186i | \(0.0887394\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.5873 | + | 25.2660i | 0.816733 | + | 1.41462i | ||||
\(320\) | −3.65895 | − | 6.33749i | −0.204542 | − | 0.354276i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.94391 | − | 6.83105i | 0.219786 | − | 0.380680i | ||||
\(323\) | 50.6020 | 2.81557 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | 8.57409 | − | 14.8508i | 0.474875 | − | 0.822508i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.38140 | − | 16.2491i | −0.518001 | − | 0.897204i | ||||
\(329\) | −5.77093 | − | 9.99555i | −0.318162 | − | 0.551072i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.5127 | + | 26.8689i | −0.852657 | + | 1.47685i | 0.0261444 | + | 0.999658i | \(0.491677\pi\) |
−0.878802 | + | 0.477187i | \(0.841656\pi\) | |||||||
\(332\) | −1.27407 | −0.0699239 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.96133 | −0.380907 | ||||||||
\(335\) | −12.0278 | + | 20.8327i | −0.657148 | + | 1.13821i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.9337 | + | 20.6697i | 0.650068 | + | 1.12595i | 0.983106 | + | 0.183037i | \(0.0585929\pi\) |
−0.333038 | + | 0.942913i | \(0.608074\pi\) | |||||||
\(338\) | 4.36052 | + | 7.55264i | 0.237181 | + | 0.410810i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.4010 | − | 18.0151i | 0.564074 | − | 0.977005i | ||||
\(341\) | 8.89580 | 0.481734 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.3684 | 1.04580 | ||||||||
\(344\) | 3.08530 | − | 5.34390i | 0.166348 | − | 0.288124i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.02437 | + | 1.77426i | 0.0550705 | + | 0.0953849i | ||||
\(347\) | 10.9556 | + | 18.9757i | 0.588128 | + | 1.01867i | 0.994477 | + | 0.104950i | \(0.0334684\pi\) |
−0.406349 | + | 0.913718i | \(0.633198\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.92343 | + | 13.7238i | −0.424132 | + | 0.734618i | −0.996339 | − | 0.0854915i | \(-0.972754\pi\) |
0.572207 | + | 0.820109i | \(0.306087\pi\) | |||||||
\(350\) | −1.25873 | −0.0672819 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.3894 | 0.980157 | ||||||||
\(353\) | 6.45344 | − | 11.1777i | 0.343482 | − | 0.594929i | −0.641595 | − | 0.767044i | \(-0.721727\pi\) |
0.985077 | + | 0.172115i | \(0.0550602\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.73210 | − | 16.8565i | −0.516526 | − | 0.894649i | ||||
\(356\) | −2.60105 | − | 4.50515i | −0.137855 | − | 0.238772i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.43279 | − | 2.48166i | 0.0757253 | − | 0.131160i | ||||
\(359\) | −25.8285 | −1.36318 | −0.681588 | − | 0.731736i | \(-0.738710\pi\) | ||||
−0.681588 | + | 0.731736i | \(0.738710\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 46.0392 | 2.42312 | ||||||||
\(362\) | 0.104414 | − | 0.180851i | 0.00548788 | − | 0.00950529i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.33225 | − | 4.03958i | −0.122243 | − | 0.211732i | ||||
\(365\) | 14.6317 | + | 25.3428i | 0.765858 | + | 1.32650i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.98729 | + | 13.8344i | −0.416933 | + | 0.722149i | −0.995629 | − | 0.0933940i | \(-0.970228\pi\) |
0.578696 | + | 0.815543i | \(0.303562\pi\) | |||||||
\(368\) | 2.98686 | 0.155701 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.2239 | 0.531514 | ||||||||
\(371\) | 0.169463 | − | 0.293518i | 0.00879807 | − | 0.0152387i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.913283 | − | 1.58185i | −0.0472880 | − | 0.0819052i | 0.841413 | − | 0.540393i | \(-0.181725\pi\) |
−0.888701 | + | 0.458488i | \(0.848391\pi\) | |||||||
\(374\) | −7.66478 | − | 13.2758i | −0.396336 | − | 0.686475i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.09192 | + | 10.5515i | −0.314167 | + | 0.544152i | ||||
\(377\) | −12.4136 | −0.639332 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.14694 | 0.0589141 | 0.0294571 | − | 0.999566i | \(-0.490622\pi\) | ||||
0.0294571 | + | 0.999566i | \(0.490622\pi\) | |||||||
\(380\) | 13.3685 | − | 23.1549i | 0.685790 | − | 1.18782i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.932496 | − | 1.61513i | −0.0477106 | − | 0.0826372i | ||||
\(383\) | 10.9138 | + | 18.9032i | 0.557668 | + | 0.965909i | 0.997691 | + | 0.0679223i | \(0.0216370\pi\) |
−0.440023 | + | 0.897987i | \(0.645030\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 9.33637 | − | 16.1711i | 0.475826 | − | 0.824154i | ||||
\(386\) | 0.385913 | 0.0196425 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.36563 | 0.424700 | ||||||||
\(389\) | −13.0981 | + | 22.6866i | −0.664099 | + | 1.15025i | 0.315429 | + | 0.948949i | \(0.397852\pi\) |
−0.979529 | + | 0.201305i | \(0.935482\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.7203 | − | 22.0322i | −0.643294 | − | 1.11422i | ||||
\(392\) | −0.981101 | − | 1.69932i | −0.0495531 | − | 0.0858284i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.61213 | + | 14.9166i | −0.433873 | + | 0.751490i | ||||
\(395\) | 9.69715 | 0.487917 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.19831 | 0.210707 | 0.105353 | − | 0.994435i | \(-0.466403\pi\) | ||||
0.105353 | + | 0.994435i | \(0.466403\pi\) | |||||||
\(398\) | −0.829246 | + | 1.43630i | −0.0415663 | + | 0.0719950i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.238320 | − | 0.412782i | −0.0119160 | − | 0.0206391i | ||||
\(401\) | −3.91490 | − | 6.78081i | −0.195501 | − | 0.338618i | 0.751564 | − | 0.659661i | \(-0.229300\pi\) |
−0.947065 | + | 0.321043i | \(0.895967\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.89255 | + | 3.27799i | −0.0942745 | + | 0.163288i | ||||
\(404\) | −14.2606 | −0.709493 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.0674 | 0.896669 | ||||||||
\(407\) | −8.68889 | + | 15.0496i | −0.430692 | + | 0.745981i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.71450 | + | 15.0940i | 0.430904 | + | 0.746348i | 0.996951 | − | 0.0780249i | \(-0.0248614\pi\) |
−0.566047 | + | 0.824373i | \(0.691528\pi\) | |||||||
\(410\) | 6.56630 | + | 11.3732i | 0.324286 | + | 0.561681i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.95307 | − | 10.3110i | 0.293287 | − | 0.507988i | ||||
\(413\) | 10.0024 | 0.492183 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.17015 | 0.106528 | ||||||||
\(416\) | −3.91227 | + | 6.77625i | −0.191815 | + | 0.332233i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −9.85160 | − | 17.0635i | −0.481858 | − | 0.834602i | ||||
\(419\) | 5.74159 | + | 9.94472i | 0.280495 | + | 0.485831i | 0.971507 | − | 0.237012i | \(-0.0761681\pi\) |
−0.691012 | + | 0.722843i | \(0.742835\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.64561 | + | 6.31439i | −0.177676 | + | 0.307744i | −0.941084 | − | 0.338172i | \(-0.890191\pi\) |
0.763408 | + | 0.645917i | \(0.223525\pi\) | |||||||
\(422\) | 15.5613 | 0.757513 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.357777 | −0.0173752 | ||||||||
\(425\) | −2.02989 | + | 3.51588i | −0.0984644 | + | 0.170545i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.427483 | + | 0.740422i | 0.0206873 | + | 0.0358315i | ||||
\(428\) | −5.40265 | − | 9.35767i | −0.261147 | − | 0.452320i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.15949 | + | 3.74034i | −0.104140 | + | 0.180375i | ||||
\(431\) | −0.389084 | −0.0187415 | −0.00937075 | − | 0.999956i | \(-0.502983\pi\) | ||||
−0.00937075 | + | 0.999956i | \(0.502983\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.1011 | 1.15822 | 0.579112 | − | 0.815248i | \(-0.303400\pi\) | ||||
0.579112 | + | 0.815248i | \(0.303400\pi\) | |||||||
\(434\) | 2.75451 | − | 4.77096i | 0.132221 | − | 0.229013i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.875011 | + | 1.51556i | 0.0419054 | + | 0.0725823i | ||||
\(437\) | −16.3495 | − | 28.3182i | −0.782104 | − | 1.35464i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.3328 | + | 31.7533i | −0.874977 | + | 1.51550i | −0.0181892 | + | 0.999835i | \(0.505790\pi\) |
−0.856788 | + | 0.515670i | \(0.827543\pi\) | |||||||
\(440\) | −19.7113 | −0.939701 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.52261 | 0.310249 | ||||||||
\(443\) | −18.8933 | + | 32.7242i | −0.897649 | + | 1.55477i | −0.0671579 | + | 0.997742i | \(0.521393\pi\) |
−0.830491 | + | 0.557032i | \(0.811940\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.43040 | + | 7.67367i | 0.210021 | + | 0.363767i | ||||
\(446\) | 5.16355 | + | 8.94352i | 0.244501 | + | 0.423488i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.85146 | − | 6.67093i | 0.181965 | − | 0.315172i | ||||
\(449\) | −11.7858 | −0.556205 | −0.278103 | − | 0.960551i | \(-0.589706\pi\) | ||||
−0.278103 | + | 0.960551i | \(0.589706\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −22.3218 | −1.05109 | ||||||||
\(452\) | −12.3893 | + | 21.4589i | −0.582744 | + | 1.00934i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.84952 | − | 8.39962i | −0.227599 | − | 0.394214i | ||||
\(455\) | 3.97256 | + | 6.88067i | 0.186236 | + | 0.322571i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.92795 | − | 17.1957i | 0.464410 | − | 0.804382i | −0.534765 | − | 0.845001i | \(-0.679600\pi\) |
0.999175 | + | 0.0406193i | \(0.0129331\pi\) | |||||||
\(458\) | 19.9578 | 0.932568 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.4423 | −0.626750 | ||||||||
\(461\) | −3.82091 | + | 6.61802i | −0.177958 | + | 0.308232i | −0.941181 | − | 0.337903i | \(-0.890282\pi\) |
0.763223 | + | 0.646135i | \(0.223616\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.97721 | + | 13.8169i | 0.370732 | + | 0.642127i | 0.989678 | − | 0.143306i | \(-0.0457734\pi\) |
−0.618946 | + | 0.785434i | \(0.712440\pi\) | |||||||
\(464\) | 3.42076 | + | 5.92493i | 0.158805 | + | 0.275058i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.09849 | + | 3.63469i | −0.0972105 | + | 0.168374i | ||||
\(467\) | −26.1406 | −1.20964 | −0.604822 | − | 0.796360i | \(-0.706756\pi\) | ||||
−0.604822 | + | 0.796360i | \(0.706756\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.3212 | −1.16923 | ||||||||
\(470\) | 4.26390 | − | 7.38529i | 0.196679 | − | 0.340658i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.27934 | − | 9.14409i | −0.243001 | − | 0.420891i | ||||
\(473\) | −3.67054 | − | 6.35756i | −0.168771 | − | 0.292321i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.60904 | + | 4.51899i | −0.119711 | + | 0.207345i | ||||
\(476\) | 21.8965 | 1.00362 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.51043 | −0.297780 | ||||||||
\(479\) | 19.6751 | − | 34.0783i | 0.898980 | − | 1.55708i | 0.0701801 | − | 0.997534i | \(-0.477643\pi\) |
0.828800 | − | 0.559545i | \(-0.189024\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.69706 | − | 6.40350i | −0.168571 | − | 0.291974i | ||||
\(482\) | 0.171953 | + | 0.297831i | 0.00783222 | + | 0.0135658i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.789499 | + | 1.36745i | −0.0358863 | + | 0.0621570i | ||||
\(485\) | −14.2493 | −0.647027 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.7133 | 0.530779 | 0.265389 | − | 0.964141i | \(-0.414500\pi\) | ||||
0.265389 | + | 0.964141i | \(0.414500\pi\) | |||||||
\(488\) | 0.451260 | − | 0.781605i | 0.0204276 | − | 0.0353816i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.686700 | + | 1.18940i | 0.0310219 | + | 0.0537316i | ||||
\(491\) | −19.2749 | − | 33.3851i | −0.869865 | − | 1.50665i | −0.862134 | − | 0.506680i | \(-0.830873\pi\) |
−0.00773080 | − | 0.999970i | \(-0.502461\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 29.1364 | − | 50.4658i | 1.31224 | − | 2.27286i | ||||
\(494\) | 8.38357 | 0.377195 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.08609 | 0.0936680 | ||||||||
\(497\) | 10.2441 | − | 17.7434i | 0.459512 | − | 0.795899i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.7808 | + | 25.6011i | 0.661679 | + | 1.14606i | 0.980174 | + | 0.198138i | \(0.0634893\pi\) |
−0.318495 | + | 0.947925i | \(0.603177\pi\) | |||||||
\(500\) | −7.21575 | − | 12.4980i | −0.322698 | − | 0.558929i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.62182 | − | 11.4693i | 0.295546 | − | 0.511901i | ||||
\(503\) | −35.5775 | −1.58632 | −0.793161 | − | 0.609011i | \(-0.791566\pi\) | ||||
−0.793161 | + | 0.609011i | \(0.791566\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.2903 | 1.08091 | ||||||||
\(506\) | −4.95299 | + | 8.57883i | −0.220187 | + | 0.381375i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.76625 | − | 4.79129i | −0.122733 | − | 0.212579i | ||||
\(509\) | −14.1912 | − | 24.5798i | −0.629013 | − | 1.08948i | −0.987750 | − | 0.156043i | \(-0.950126\pi\) |
0.358738 | − | 0.933438i | \(-0.383207\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.4015 | + | 26.6762i | −0.681323 | + | 1.18009i | ||||
\(512\) | 8.20265 | 0.362510 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −16.2365 | −0.716161 | ||||||||
\(515\) | −10.1399 | + | 17.5629i | −0.446819 | + | 0.773914i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.24747 | + | 12.5530i | 0.318743 | + | 0.552079i | ||||
\(518\) | 5.38089 | + | 9.31998i | 0.236423 | + | 0.409497i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.19351 | − | 7.26338i | 0.183898 | − | 0.318520i | ||||
\(521\) | 25.4351 | 1.11433 | 0.557167 | − | 0.830401i | \(-0.311888\pi\) | ||||
0.557167 | + | 0.830401i | \(0.311888\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.40790 | 0.367652 | 0.183826 | − | 0.982959i | \(-0.441152\pi\) | ||||
0.183826 | + | 0.982959i | \(0.441152\pi\) | |||||||
\(524\) | −0.0714994 | + | 0.123841i | −0.00312347 | + | 0.00541000i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.54072 | + | 13.0609i | 0.328791 | + | 0.569483i | ||||
\(527\) | −8.88415 | − | 15.3878i | −0.387000 | − | 0.670303i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.28012 | − | 5.68133i | 0.142614 | − | 0.247014i | ||||
\(530\) | 0.250418 | 0.0108775 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 28.1438 | 1.22019 | ||||||||
\(533\) | 4.74889 | − | 8.22531i | 0.205697 | − | 0.356278i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.20241 | + | 15.9390i | 0.397855 | + | 0.689105i | ||||
\(536\) | 13.3648 | + | 23.1485i | 0.577272 | + | 0.999864i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 7.26368 | − | 12.5811i | 0.313160 | − | 0.542408i | ||||
\(539\) | −2.33440 | −0.100550 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.8635 | −0.553043 | −0.276522 | − | 0.961008i | \(-0.589182\pi\) | ||||
−0.276522 | + | 0.961008i | \(0.589182\pi\) | |||||||
\(542\) | −5.03108 | + | 8.71409i | −0.216103 | + | 0.374302i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −18.3653 | − | 31.8096i | −0.787406 | − | 1.36383i | ||||
\(545\) | −1.49042 | − | 2.58148i | −0.0638425 | − | 0.110578i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.54598 | + | 11.3380i | −0.279886 | + | 0.484777i | −0.971356 | − | 0.237628i | \(-0.923630\pi\) |
0.691470 | + | 0.722405i | \(0.256963\pi\) | |||||||
\(548\) | 10.6303 | 0.454103 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.58078 | 0.0674049 | ||||||||
\(551\) | 37.4493 | − | 64.8641i | 1.59539 | − | 2.76330i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.10368 | + | 8.83983i | 0.217031 | + | 0.375908i | ||||
\(554\) | −4.06028 | − | 7.03261i | −0.172505 | − | 0.298787i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.28310 | + | 12.6147i | −0.308872 | + | 0.534982i | ||||
\(557\) | −4.58220 | −0.194154 | −0.0970769 | − | 0.995277i | \(-0.530949\pi\) | ||||
−0.0970769 | + | 0.995277i | \(0.530949\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.12357 | 0.132113 | ||||||||
\(560\) | 2.18940 | − | 3.79216i | 0.0925191 | − | 0.160248i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.57859 | + | 9.66241i | 0.235319 | + | 0.407584i | ||||
\(563\) | 6.14196 | + | 10.6382i | 0.258853 | + | 0.448346i | 0.965935 | − | 0.258785i | \(-0.0833222\pi\) |
−0.707082 | + | 0.707131i | \(0.749989\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 21.1029 | − | 36.5513i | 0.887805 | − | 1.53772i | ||||
\(566\) | −14.5378 | −0.611071 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −21.6278 | −0.907484 | ||||||||
\(569\) | 7.24683 | − | 12.5519i | 0.303803 | − | 0.526202i | −0.673191 | − | 0.739468i | \(-0.735077\pi\) |
0.976994 | + | 0.213266i | \(0.0684102\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.0227 | + | 19.0918i | 0.461285 | + | 0.798969i | 0.999025 | − | 0.0441418i | \(-0.0140553\pi\) |
−0.537741 | + | 0.843110i | \(0.680722\pi\) | |||||||
\(572\) | 2.92898 | + | 5.07313i | 0.122467 | + | 0.212118i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.91178 | + | 11.9716i | −0.288492 | + | 0.499683i | ||||
\(575\) | 2.62344 | 0.109405 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.4835 | −1.31068 | −0.655338 | − | 0.755336i | \(-0.727474\pi\) | ||||
−0.655338 | + | 0.755336i | \(0.727474\pi\) | |||||||
\(578\) | −8.69877 | + | 15.0667i | −0.361821 | + | 0.626693i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −15.3951 | − | 26.6650i | −0.639245 | − | 1.10721i | ||||
\(581\) | 1.14216 | + | 1.97829i | 0.0473849 | + | 0.0820731i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.212821 | + | 0.368617i | −0.00881415 | + | 0.0152666i | ||||
\(584\) | 32.5163 | 1.34554 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.39032 | 0.346601 | ||||||||
\(587\) | −7.18472 | + | 12.4443i | −0.296545 | + | 0.513631i | −0.975343 | − | 0.220694i | \(-0.929168\pi\) |
0.678798 | + | 0.734325i | \(0.262501\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −11.4189 | − | 19.7781i | −0.470507 | − | 0.814941i | ||||
\(590\) | 3.69516 | + | 6.40020i | 0.152127 | + | 0.263492i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.03757 | + | 3.52917i | −0.0837435 | + | 0.145048i | ||||
\(593\) | 41.0988 | 1.68772 | 0.843862 | − | 0.536560i | \(-0.180276\pi\) | ||||
0.843862 | + | 0.536560i | \(0.180276\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −37.2966 | −1.52901 | ||||||||
\(596\) | 6.30082 | − | 10.9133i | 0.258092 | − | 0.447028i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.10746 | − | 3.65023i | −0.0861804 | − | 0.149269i | ||||
\(599\) | 4.28108 | + | 7.41505i | 0.174920 | + | 0.302971i | 0.940134 | − | 0.340806i | \(-0.110700\pi\) |
−0.765213 | + | 0.643777i | \(0.777367\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.817605 | − | 1.41613i | 0.0333508 | − | 0.0577653i | −0.848868 | − | 0.528605i | \(-0.822715\pi\) |
0.882219 | + | 0.470839i | \(0.156049\pi\) | |||||||
\(602\) | −4.54621 | −0.185290 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −33.3303 | −1.35619 | ||||||||
\(605\) | 1.34476 | − | 2.32920i | 0.0546725 | − | 0.0946955i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.28472 | − | 5.68929i | −0.133322 | − | 0.230921i | 0.791633 | − | 0.610997i | \(-0.209231\pi\) |
−0.924955 | + | 0.380076i | \(0.875898\pi\) | |||||||
\(608\) | −23.6051 | − | 40.8852i | −0.957312 | − | 1.65811i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.315849 | + | 0.547067i | −0.0127884 | + | 0.0221501i | ||||
\(611\) | −6.16749 | −0.249510 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.2726 | −1.06114 | −0.530569 | − | 0.847642i | \(-0.678022\pi\) | ||||
−0.530569 | + | 0.847642i | \(0.678022\pi\) | |||||||
\(614\) | −0.0193459 | + | 0.0335080i | −0.000780736 | + | 0.00135227i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.3742 | − | 17.9687i | −0.417989 | − | 0.723978i | ||||
\(617\) | −3.13651 | − | 5.43260i | −0.126271 | − | 0.218708i | 0.795958 | − | 0.605352i | \(-0.206968\pi\) |
−0.922229 | + | 0.386644i | \(0.873634\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.47044 | + | 4.27892i | −0.0992952 | + | 0.171984i | −0.911393 | − | 0.411537i | \(-0.864992\pi\) |
0.812098 | + | 0.583521i | \(0.198325\pi\) | |||||||
\(620\) | −9.38839 | −0.377047 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.2936 | −0.412738 | ||||||||
\(623\) | −4.66350 | + | 8.07742i | −0.186839 | + | 0.323615i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.9082 | + | 24.0898i | 0.556330 | + | 0.963592i | ||||
\(626\) | 5.86524 | + | 10.1589i | 0.234422 | + | 0.406031i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.89179 | − | 3.27668i | 0.0754907 | − | 0.130754i | ||||
\(629\) | 34.7101 | 1.38398 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.92420 | −0.275648 | −0.137824 | − | 0.990457i | \(-0.544011\pi\) | ||||
−0.137824 | + | 0.990457i | \(0.544011\pi\) | |||||||
\(632\) | 5.38755 | − | 9.33151i | 0.214305 | − | 0.371187i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.35624 | + | 5.81317i | 0.133293 | + | 0.230870i | ||||
\(635\) | 4.71180 | + | 8.16107i | 0.186982 | + | 0.323862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.496636 | − | 0.860198i | 0.0196774 | − | 0.0340823i | ||||
\(638\) | −22.6900 | −0.898308 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.1306 | −0.874788 | ||||||||
\(641\) | −16.9594 | + | 29.3746i | −0.669858 | + | 1.16023i | 0.308086 | + | 0.951359i | \(0.400312\pi\) |
−0.977944 | + | 0.208869i | \(0.933022\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.86161 | − | 6.68850i | −0.152287 | − | 0.263769i | 0.779781 | − | 0.626053i | \(-0.215330\pi\) |
−0.932068 | + | 0.362284i | \(0.881997\pi\) | |||||||
\(644\) | −7.07477 | − | 12.2539i | −0.278785 | − | 0.482870i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −19.6774 | + | 34.0823i | −0.774198 | + | 1.34095i | ||||
\(647\) | −35.1862 | −1.38331 | −0.691655 | − | 0.722228i | \(-0.743118\pi\) | ||||
−0.691655 | + | 0.722228i | \(0.743118\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.5615 | −0.493083 | ||||||||
\(650\) | −0.336306 | + | 0.582499i | −0.0131910 | + | 0.0228475i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.3806 | − | 26.6400i | −0.602351 | − | 1.04330i | ||||
\(653\) | 9.75599 | + | 16.8979i | 0.381781 | + | 0.661264i | 0.991317 | − | 0.131494i | \(-0.0419774\pi\) |
−0.609536 | + | 0.792759i | \(0.708644\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.121786 | − | 0.210939i | 0.00475857 | − | 0.00824208i | ||||
\(656\) | −5.23452 | −0.204374 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.97648 | 0.349940 | ||||||||
\(659\) | 11.5432 | − | 19.9934i | 0.449660 | − | 0.778834i | −0.548704 | − | 0.836017i | \(-0.684878\pi\) |
0.998364 | + | 0.0571827i | \(0.0182118\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.43818 | + | 5.95510i | 0.133730 | + | 0.231627i | 0.925111 | − | 0.379696i | \(-0.123971\pi\) |
−0.791382 | + | 0.611322i | \(0.790638\pi\) | |||||||
\(662\) | −12.0648 | − | 20.8968i | −0.468910 | − | 0.812176i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.20569 | − | 2.08832i | 0.0467899 | − | 0.0810425i | ||||
\(665\) | −47.9376 | −1.85894 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −37.6560 | −1.45805 | ||||||||
\(668\) | −6.24378 | + | 10.8145i | −0.241579 | + | 0.418427i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.35440 | − | 16.2023i | −0.361392 | − | 0.625949i | ||||
\(671\) | −0.536857 | − | 0.929864i | −0.0207251 | − | 0.0358970i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.3362 | − | 26.5630i | 0.591166 | − | 1.02393i | −0.402910 | − | 0.915239i | \(-0.632001\pi\) |
0.994076 | − | 0.108689i | \(-0.0346653\pi\) | |||||||
\(674\) | −18.5624 | −0.714997 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.6442 | 0.601700 | ||||||||
\(677\) | −6.79198 | + | 11.7641i | −0.261037 | + | 0.452130i | −0.966518 | − | 0.256600i | \(-0.917398\pi\) |
0.705481 | + | 0.708729i | \(0.250731\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.49950 | − | 12.9895i | −0.287804 | − | 0.498492i | ||||
\(680\) | 19.6855 | + | 34.0963i | 0.754906 | + | 1.30754i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.45928 | + | 5.99164i | −0.132462 | + | 0.229432i | ||||
\(683\) | 6.06700 | 0.232147 | 0.116074 | − | 0.993241i | \(-0.462969\pi\) | ||||
0.116074 | + | 0.993241i | \(0.462969\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.1067 | −0.691821 | ||||||||
\(686\) | −7.53173 | + | 13.0453i | −0.287563 | + | 0.498074i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.860750 | − | 1.49086i | −0.0328158 | − | 0.0568386i | ||||
\(689\) | −0.0905538 | − | 0.156844i | −0.00344983 | − | 0.00597527i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.3325 | + | 17.8965i | −0.393068 | + | 0.680814i | −0.992853 | − | 0.119347i | \(-0.961920\pi\) |
0.599784 | + | 0.800162i | \(0.295253\pi\) | |||||||
\(692\) | 3.67513 | 0.139707 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.0411 | −0.646871 | ||||||||
\(695\) | 12.4054 | − | 21.4868i | 0.470564 | − | 0.815040i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 22.2926 | + | 38.6119i | 0.844393 | + | 1.46253i | ||||
\(698\) | −6.16231 | − | 10.6734i | −0.233247 | − | 0.403995i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.12898 | + | 1.95546i | −0.0426716 | + | 0.0739093i | ||||
\(701\) | −11.0222 | −0.416303 | −0.208151 | − | 0.978097i | \(-0.566745\pi\) | ||||
−0.208151 | + | 0.978097i | \(0.566745\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.6131 | 1.68262 | ||||||||
\(704\) | −4.83689 | + | 8.37773i | −0.182297 | + | 0.315748i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.01905 | + | 8.69325i | 0.188895 | + | 0.327175i | ||||
\(707\) | 12.7842 | + | 22.1428i | 0.480798 | + | 0.832767i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.49372 | − | 9.51541i | 0.206321 | − | 0.357359i | −0.744232 | − | 0.667922i | \(-0.767184\pi\) |
0.950553 | + | 0.310563i | \(0.100518\pi\) | |||||||
\(710\) | 15.1379 | 0.568116 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.84577 | 0.368986 | ||||||||
\(713\) | −5.74095 | + | 9.94361i | −0.215000 | + | 0.372391i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.98896 | − | 8.64114i | −0.186577 | − | 0.323160i | ||||
\(716\) | −2.57020 | − | 4.45172i | −0.0960530 | − | 0.166369i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.0438 | − | 17.3964i | 0.374832 | − | 0.649228i | ||||
\(719\) | −32.7057 | −1.21972 | −0.609859 | − | 0.792510i | \(-0.708774\pi\) | ||||
−0.609859 | + | 0.792510i | \(0.708774\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.3469 | −0.795000 | ||||||||
\(722\) | −17.9031 | + | 31.0091i | −0.666284 | + | 1.15404i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.187303 | − | 0.324418i | −0.00696106 | − | 0.0120569i | ||||
\(725\) | 3.00455 | + | 5.20403i | 0.111586 | + | 0.193273i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.2303 | + | 33.3079i | −0.713213 | + | 1.23532i | 0.250432 | + | 0.968134i | \(0.419427\pi\) |
−0.963645 | + | 0.267186i | \(0.913906\pi\) | |||||||
\(728\) | 8.82830 | 0.327199 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −22.7591 | −0.842352 | ||||||||
\(731\) | −7.33146 | + | 12.6985i | −0.271164 | + | 0.469670i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.05387 | − | 12.2177i | −0.260541 | − | 0.451270i | 0.705845 | − | 0.708366i | \(-0.250568\pi\) |
−0.966386 | + | 0.257096i | \(0.917234\pi\) | |||||||
\(734\) | −6.21197 | − | 10.7595i | −0.229288 | − | 0.397139i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.8677 | + | 20.5554i | −0.437448 | + | 0.757683i | ||||
\(737\) | 31.7998 | 1.17136 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.8457 | −0.435752 | −0.217876 | − | 0.975977i | \(-0.569913\pi\) | ||||
−0.217876 | + | 0.975977i | \(0.569913\pi\) | |||||||
\(740\) | 9.17003 | − | 15.8830i | 0.337097 | − | 0.583869i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.131797 | + | 0.228279i | 0.00483841 | + | 0.00838037i | ||||
\(743\) | −10.8838 | − | 18.8513i | −0.399287 | − | 0.691586i | 0.594351 | − | 0.804206i | \(-0.297409\pi\) |
−0.993638 | + | 0.112620i | \(0.964076\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.7323 | + | 18.5888i | −0.393200 | + | 0.681043i | ||||
\(746\) | 1.42058 | 0.0520111 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −27.4989 | −1.00546 | ||||||||
\(749\) | −9.68659 | + | 16.7777i | −0.353940 | + | 0.613042i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.2745 | + | 36.8485i | 0.776318 | + | 1.34462i | 0.934051 | + | 0.357140i | \(0.116248\pi\) |
−0.157733 | + | 0.987482i | \(0.550418\pi\) | |||||||
\(752\) | 1.69955 | + | 2.94370i | 0.0619761 | + | 0.107346i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.82722 | − | 8.36100i | 0.175797 | − | 0.304490i | ||||
\(755\) | 56.7719 | 2.06614 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.6382 | −0.750110 | −0.375055 | − | 0.927003i | \(-0.622376\pi\) | ||||
−0.375055 | + | 0.927003i | \(0.622376\pi\) | |||||||
\(758\) | −0.446004 | + | 0.772502i | −0.0161996 | + | 0.0280585i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 25.3020 | + | 43.8243i | 0.917799 | + | 1.58967i | ||||
\(761\) | −24.7225 | − | 42.8207i | −0.896190 | − | 1.55225i | −0.832324 | − | 0.554289i | \(-0.812990\pi\) |
−0.0638661 | − | 0.997958i | \(-0.520343\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.56883 | − | 2.71730i | 0.0567956 | − | 0.0983729i | ||||
\(764\) | −3.34551 | −0.121036 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.9760 | −0.613367 | ||||||||
\(767\) | 2.67242 | − | 4.62876i | 0.0964954 | − | 0.167135i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.0668 | − | 19.1683i | −0.399079 | − | 0.691225i | 0.594534 | − | 0.804071i | \(-0.297337\pi\) |
−0.993613 | + | 0.112846i | \(0.964003\pi\) | |||||||
\(770\) | 7.26120 | + | 12.5768i | 0.261675 | + | 0.453235i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.346134 | − | 0.599522i | 0.0124576 | − | 0.0215773i | ||||
\(773\) | −21.9671 | −0.790102 | −0.395051 | − | 0.918659i | \(-0.629273\pi\) | ||||
−0.395051 | + | 0.918659i | \(0.629273\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.83227 | 0.0658170 | ||||||||
\(776\) | −7.91662 | + | 13.7120i | −0.284190 | + | 0.492232i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.1868 | − | 17.6441i | −0.365215 | − | 0.632571i | ||||
\(779\) | 28.6529 | + | 49.6282i | 1.02660 | + | 1.77812i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.8652 | + | 22.2831i | −0.460352 | + | 0.797353i | ||||
\(782\) | 19.7860 | 0.707547 | ||||||||
\(783\) | 0 |