Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 61.5 | ||
Character | \(\chi\) | \(=\) | 192.61 |
Dual form | 192.2.r.a.85.5 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.736320 | − | 1.20741i | −0.520657 | − | 0.853766i | ||||
\(3\) | −0.195090 | + | 0.980785i | −0.112635 | + | 0.566257i | ||||
\(4\) | −0.915667 | + | 1.77808i | −0.457833 | + | 0.889038i | ||||
\(5\) | 0.0837000 | + | 0.0559265i | 0.0374318 | + | 0.0250111i | 0.574145 | − | 0.818753i | \(-0.305334\pi\) |
−0.536714 | + | 0.843764i | \(0.680334\pi\) | |||||||
\(6\) | 1.32786 | − | 0.486618i | 0.542095 | − | 0.198661i | ||||
\(7\) | −4.46868 | + | 1.85099i | −1.68900 | + | 0.699608i | −0.999691 | − | 0.0248563i | \(-0.992087\pi\) |
−0.689312 | + | 0.724464i | \(0.742087\pi\) | |||||||
\(8\) | 2.82109 | − | 0.203649i | 0.997405 | − | 0.0720008i | ||||
\(9\) | −0.923880 | − | 0.382683i | −0.307960 | − | 0.127561i | ||||
\(10\) | 0.00589620 | − | 0.142240i | 0.00186454 | − | 0.0449802i | ||||
\(11\) | −3.20307 | + | 0.637129i | −0.965760 | + | 0.192102i | −0.652687 | − | 0.757627i | \(-0.726358\pi\) |
−0.313073 | + | 0.949729i | \(0.601358\pi\) | |||||||
\(12\) | −1.56527 | − | 1.24496i | −0.451855 | − | 0.359388i | ||||
\(13\) | −2.92887 | + | 1.95701i | −0.812324 | + | 0.542777i | −0.890937 | − | 0.454128i | \(-0.849951\pi\) |
0.0786128 | + | 0.996905i | \(0.474951\pi\) | |||||||
\(14\) | 5.52528 | + | 4.03260i | 1.47669 | + | 1.07776i | ||||
\(15\) | −0.0711810 | + | 0.0711810i | −0.0183788 | + | 0.0183788i | ||||
\(16\) | −2.32311 | − | 3.25625i | −0.580777 | − | 0.814063i | ||||
\(17\) | 4.06185 | + | 4.06185i | 0.985144 | + | 0.985144i | 0.999891 | − | 0.0147472i | \(-0.00469434\pi\) |
−0.0147472 | + | 0.999891i | \(0.504694\pi\) | |||||||
\(18\) | 0.218216 | + | 1.39728i | 0.0514339 | + | 0.329341i | ||||
\(19\) | 1.61387 | + | 2.41533i | 0.370248 | + | 0.554115i | 0.969076 | − | 0.246763i | \(-0.0793668\pi\) |
−0.598828 | + | 0.800877i | \(0.704367\pi\) | |||||||
\(20\) | −0.176083 | + | 0.0976148i | −0.0393733 | + | 0.0218273i | ||||
\(21\) | −0.943626 | − | 4.74393i | −0.205916 | − | 1.03521i | ||||
\(22\) | 3.12775 | + | 3.39827i | 0.666839 | + | 0.724515i | ||||
\(23\) | 1.02250 | − | 2.46854i | 0.213207 | − | 0.514727i | −0.780706 | − | 0.624899i | \(-0.785140\pi\) |
0.993913 | + | 0.110172i | \(0.0351402\pi\) | |||||||
\(24\) | −0.350631 | + | 2.80661i | −0.0715722 | + | 0.572897i | ||||
\(25\) | −1.90954 | − | 4.61004i | −0.381908 | − | 0.922007i | ||||
\(26\) | 4.51950 | + | 2.09536i | 0.886347 | + | 0.410934i | ||||
\(27\) | 0.555570 | − | 0.831470i | 0.106920 | − | 0.160016i | ||||
\(28\) | 0.800625 | − | 9.64055i | 0.151304 | − | 1.82189i | ||||
\(29\) | 2.77406 | + | 0.551794i | 0.515129 | + | 0.102466i | 0.445808 | − | 0.895129i | \(-0.352917\pi\) |
0.0693216 | + | 0.997594i | \(0.477917\pi\) | |||||||
\(30\) | 0.138356 | + | 0.0335325i | 0.0252603 | + | 0.00612217i | ||||
\(31\) | 6.23524i | 1.11988i | 0.828532 | + | 0.559941i | \(0.189176\pi\) | ||||
−0.828532 | + | 0.559941i | \(0.810824\pi\) | |||||||
\(32\) | −2.22107 | + | 5.20258i | −0.392634 | + | 0.919695i | ||||
\(33\) | − | 3.26582i | − | 0.568506i | ||||||
\(34\) | 1.91349 | − | 7.89514i | 0.328161 | − | 1.35400i | ||||
\(35\) | −0.477548 | − | 0.0949902i | −0.0807203 | − | 0.0160563i | ||||
\(36\) | 1.52641 | − | 1.29232i | 0.254401 | − | 0.215386i | ||||
\(37\) | −3.81922 | + | 5.71586i | −0.627875 | + | 0.939682i | 0.372059 | + | 0.928209i | \(0.378652\pi\) |
−0.999934 | + | 0.0114728i | \(0.996348\pi\) | |||||||
\(38\) | 1.72796 | − | 3.72706i | 0.280313 | − | 0.604608i | ||||
\(39\) | −1.34801 | − | 3.25439i | −0.215855 | − | 0.521120i | ||||
\(40\) | 0.247514 | + | 0.140728i | 0.0391354 | + | 0.0222511i | ||||
\(41\) | 3.15553 | − | 7.61812i | 0.492811 | − | 1.18975i | −0.460472 | − | 0.887674i | \(-0.652320\pi\) |
0.953283 | − | 0.302077i | \(-0.0976800\pi\) | |||||||
\(42\) | −5.03305 | + | 4.63239i | −0.776616 | + | 0.714793i | ||||
\(43\) | 0.370101 | + | 1.86062i | 0.0564398 | + | 0.283742i | 0.998690 | − | 0.0511674i | \(-0.0162942\pi\) |
−0.942250 | + | 0.334910i | \(0.891294\pi\) | |||||||
\(44\) | 1.80008 | − | 6.27869i | 0.271372 | − | 0.946548i | ||||
\(45\) | −0.0559265 | − | 0.0837000i | −0.00833703 | − | 0.0124773i | ||||
\(46\) | −3.73343 | + | 0.583058i | −0.550464 | + | 0.0859672i | ||||
\(47\) | −7.02184 | − | 7.02184i | −1.02424 | − | 1.02424i | −0.999699 | − | 0.0245414i | \(-0.992187\pi\) |
−0.0245414 | − | 0.999699i | \(-0.507813\pi\) | |||||||
\(48\) | 3.64690 | − | 1.64321i | 0.526384 | − | 0.237177i | ||||
\(49\) | 11.5932 | − | 11.5932i | 1.65617 | − | 1.65617i | ||||
\(50\) | −4.16016 | + | 5.70005i | −0.588336 | + | 0.806109i | ||||
\(51\) | −4.77623 | + | 3.19138i | −0.668807 | + | 0.446882i | ||||
\(52\) | −0.797842 | − | 6.99973i | −0.110641 | − | 0.970688i | ||||
\(53\) | −4.73439 | + | 0.941728i | −0.650318 | + | 0.129356i | −0.509216 | − | 0.860639i | \(-0.670065\pi\) |
−0.141102 | + | 0.989995i | \(0.545065\pi\) | |||||||
\(54\) | −1.41300 | − | 0.0585724i | −0.192285 | − | 0.00797069i | ||||
\(55\) | −0.303729 | − | 0.125809i | −0.0409548 | − | 0.0169640i | ||||
\(56\) | −12.2296 | + | 6.13184i | −1.63425 | + | 0.819402i | ||||
\(57\) | −2.68377 | + | 1.11165i | −0.355474 | + | 0.147242i | ||||
\(58\) | −1.37635 | − | 3.75571i | −0.180724 | − | 0.493149i | ||||
\(59\) | 1.74396 | + | 1.16528i | 0.227044 | + | 0.151706i | 0.663890 | − | 0.747830i | \(-0.268904\pi\) |
−0.436846 | + | 0.899537i | \(0.643904\pi\) | |||||||
\(60\) | −0.0613871 | − | 0.191743i | −0.00792504 | − | 0.0247539i | ||||
\(61\) | −0.391727 | + | 1.96934i | −0.0501554 | + | 0.252148i | −0.997726 | − | 0.0673976i | \(-0.978530\pi\) |
0.947571 | + | 0.319546i | \(0.103530\pi\) | |||||||
\(62\) | 7.52848 | − | 4.59113i | 0.956118 | − | 0.583074i | ||||
\(63\) | 4.83687 | 0.609388 | ||||||||
\(64\) | 7.91705 | − | 1.14902i | 0.989632 | − | 0.143628i | ||||
\(65\) | −0.354596 | −0.0439822 | ||||||||
\(66\) | −3.94317 | + | 2.40469i | −0.485371 | + | 0.295996i | ||||
\(67\) | −2.53869 | + | 12.7629i | −0.310151 | + | 1.55923i | 0.440020 | + | 0.897988i | \(0.354971\pi\) |
−0.750170 | + | 0.661245i | \(0.770029\pi\) | |||||||
\(68\) | −10.9416 | + | 3.50298i | −1.32686 | + | 0.424799i | ||||
\(69\) | 2.22163 | + | 1.48445i | 0.267453 | + | 0.178706i | ||||
\(70\) | 0.236936 | + | 0.646538i | 0.0283193 | + | 0.0772761i | ||||
\(71\) | 0.0798435 | − | 0.0330723i | 0.00947569 | − | 0.00392496i | −0.377941 | − | 0.925830i | \(-0.623368\pi\) |
0.387416 | + | 0.921905i | \(0.373368\pi\) | |||||||
\(72\) | −2.68428 | − | 0.891436i | −0.316345 | − | 0.105057i | ||||
\(73\) | 3.83063 | + | 1.58670i | 0.448342 | + | 0.185709i | 0.595418 | − | 0.803416i | \(-0.296986\pi\) |
−0.147077 | + | 0.989125i | \(0.546986\pi\) | |||||||
\(74\) | 9.71354 | + | 0.402651i | 1.12918 | + | 0.0468072i | ||||
\(75\) | 4.89399 | − | 0.973475i | 0.565109 | − | 0.112407i | ||||
\(76\) | −5.77241 | + | 0.657949i | −0.662141 | + | 0.0754720i | ||||
\(77\) | 13.1342 | − | 8.77597i | 1.49678 | − | 1.00011i | ||||
\(78\) | −2.93681 | + | 4.02387i | −0.332528 | + | 0.455614i | ||||
\(79\) | 9.63328 | − | 9.63328i | 1.08383 | − | 1.08383i | 0.0876800 | − | 0.996149i | \(-0.472055\pi\) |
0.996149 | − | 0.0876800i | \(-0.0279453\pi\) | |||||||
\(80\) | −0.0123333 | − | 0.402471i | −0.00137891 | − | 0.0449977i | ||||
\(81\) | 0.707107 | + | 0.707107i | 0.0785674 | + | 0.0785674i | ||||
\(82\) | −11.5217 | + | 1.79936i | −1.27235 | + | 0.198706i | ||||
\(83\) | 7.45610 | + | 11.1588i | 0.818413 | + | 1.22484i | 0.971596 | + | 0.236644i | \(0.0760476\pi\) |
−0.153183 | + | 0.988198i | \(0.548952\pi\) | |||||||
\(84\) | 9.29911 | + | 2.66602i | 1.01462 | + | 0.290887i | ||||
\(85\) | 0.112812 | + | 0.567142i | 0.0122361 | + | 0.0615152i | ||||
\(86\) | 1.97402 | − | 1.81687i | 0.212864 | − | 0.195919i | ||||
\(87\) | −1.08238 | + | 2.61310i | −0.116044 | + | 0.280154i | ||||
\(88\) | −8.90637 | + | 2.44970i | −0.949422 | + | 0.261139i | ||||
\(89\) | 0.680318 | + | 1.64243i | 0.0721135 | + | 0.174097i | 0.955826 | − | 0.293932i | \(-0.0949640\pi\) |
−0.883713 | + | 0.468030i | \(0.844964\pi\) | |||||||
\(90\) | −0.0598802 | + | 0.129156i | −0.00631193 | + | 0.0136142i | ||||
\(91\) | 9.46581 | − | 14.1666i | 0.992286 | − | 1.48506i | ||||
\(92\) | 3.45299 | + | 4.07845i | 0.359999 | + | 0.425208i | ||||
\(93\) | −6.11543 | − | 1.21644i | −0.634141 | − | 0.126138i | ||||
\(94\) | −3.30790 | + | 13.6485i | −0.341184 | + | 1.40774i | ||||
\(95\) | 0.292421i | 0.0300018i | ||||||||
\(96\) | −4.66930 | − | 3.19337i | −0.476559 | − | 0.325922i | ||||
\(97\) | 17.0406i | 1.73021i | 0.501594 | + | 0.865103i | \(0.332747\pi\) | ||||
−0.501594 | + | 0.865103i | \(0.667253\pi\) | |||||||
\(98\) | −22.5341 | − | 5.46143i | −2.27628 | − | 0.551687i | ||||
\(99\) | 3.20307 | + | 0.637129i | 0.321920 | + | 0.0640339i | ||||
\(100\) | 9.94550 | + | 0.825951i | 0.994550 | + | 0.0825951i | ||||
\(101\) | −9.76909 | + | 14.6205i | −0.972061 | + | 1.45479i | −0.0832446 | + | 0.996529i | \(0.526528\pi\) |
−0.888817 | + | 0.458263i | \(0.848472\pi\) | |||||||
\(102\) | 7.37013 | + | 3.41699i | 0.729751 | + | 0.338332i | ||||
\(103\) | 4.34245 | + | 10.4836i | 0.427875 | + | 1.03298i | 0.979960 | + | 0.199193i | \(0.0638322\pi\) |
−0.552085 | + | 0.833788i | \(0.686168\pi\) | |||||||
\(104\) | −7.86406 | + | 6.11736i | −0.771135 | + | 0.599857i | ||||
\(105\) | 0.186330 | − | 0.449840i | 0.0181839 | − | 0.0438999i | ||||
\(106\) | 4.62307 | + | 5.02292i | 0.449032 | + | 0.487869i | ||||
\(107\) | −0.612789 | − | 3.08070i | −0.0592405 | − | 0.297822i | 0.939795 | − | 0.341740i | \(-0.111016\pi\) |
−0.999035 | + | 0.0439176i | \(0.986016\pi\) | |||||||
\(108\) | 0.969699 | + | 1.74920i | 0.0933093 | + | 0.168316i | ||||
\(109\) | −2.09115 | − | 3.12962i | −0.200295 | − | 0.299763i | 0.717701 | − | 0.696351i | \(-0.245194\pi\) |
−0.917997 | + | 0.396588i | \(0.870194\pi\) | |||||||
\(110\) | 0.0717392 | + | 0.459360i | 0.00684007 | + | 0.0437982i | ||||
\(111\) | −4.86094 | − | 4.86094i | −0.461380 | − | 0.461380i | ||||
\(112\) | 16.4085 | + | 10.2511i | 1.55046 | + | 0.968638i | ||||
\(113\) | −2.16896 | + | 2.16896i | −0.204038 | + | 0.204038i | −0.801728 | − | 0.597689i | \(-0.796086\pi\) |
0.597689 | + | 0.801728i | \(0.296086\pi\) | |||||||
\(114\) | 3.31833 | + | 2.42187i | 0.310790 | + | 0.226829i | ||||
\(115\) | 0.223641 | − | 0.149432i | 0.0208546 | − | 0.0139346i | ||||
\(116\) | −3.52124 | + | 4.42722i | −0.326939 | + | 0.411057i | ||||
\(117\) | 3.45484 | − | 0.687211i | 0.319400 | − | 0.0635327i | ||||
\(118\) | 0.122852 | − | 2.96369i | 0.0113095 | − | 0.272830i | ||||
\(119\) | −25.6696 | − | 10.6327i | −2.35313 | − | 0.974697i | ||||
\(120\) | −0.186312 | + | 0.215304i | −0.0170079 | + | 0.0196544i | ||||
\(121\) | −0.308982 | + | 0.127985i | −0.0280893 | + | 0.0116350i | ||||
\(122\) | 2.66624 | − | 0.977092i | 0.241390 | − | 0.0884617i | ||||
\(123\) | 6.85613 | + | 4.58112i | 0.618197 | + | 0.413066i | ||||
\(124\) | −11.0867 | − | 5.70940i | −0.995618 | − | 0.512720i | ||||
\(125\) | 0.196189 | − | 0.986308i | 0.0175477 | − | 0.0882181i | ||||
\(126\) | −3.56148 | − | 5.84007i | −0.317282 | − | 0.520275i | ||||
\(127\) | −7.09675 | −0.629735 | −0.314867 | − | 0.949136i | \(-0.601960\pi\) | ||||
−0.314867 | + | 0.949136i | \(0.601960\pi\) | |||||||
\(128\) | −7.21682 | − | 8.71306i | −0.637883 | − | 0.770133i | ||||
\(129\) | −1.89707 | −0.167028 | ||||||||
\(130\) | 0.261096 | + | 0.428141i | 0.0228996 | + | 0.0375505i | ||||
\(131\) | 3.91387 | − | 19.6764i | 0.341957 | − | 1.71913i | −0.301340 | − | 0.953517i | \(-0.597434\pi\) |
0.643297 | − | 0.765616i | \(-0.277566\pi\) | |||||||
\(132\) | 5.80687 | + | 2.99040i | 0.505423 | + | 0.260281i | ||||
\(133\) | −11.6826 | − | 7.80609i | −1.01301 | − | 0.676873i | ||||
\(134\) | 17.2793 | − | 6.33231i | 1.49270 | − | 0.547029i | ||||
\(135\) | 0.0930024 | − | 0.0385229i | 0.00800437 | − | 0.00331552i | ||||
\(136\) | 12.2860 | + | 10.6316i | 1.05352 | + | 0.911656i | ||||
\(137\) | −0.753073 | − | 0.311933i | −0.0643394 | − | 0.0266503i | 0.350282 | − | 0.936644i | \(-0.386086\pi\) |
−0.414621 | + | 0.909994i | \(0.636086\pi\) | |||||||
\(138\) | 0.156501 | − | 3.77544i | 0.0133223 | − | 0.321387i | ||||
\(139\) | 1.96932 | − | 0.391722i | 0.167035 | − | 0.0332254i | −0.110864 | − | 0.993836i | \(-0.535362\pi\) |
0.277899 | + | 0.960610i | \(0.410362\pi\) | |||||||
\(140\) | 0.606175 | − | 0.762137i | 0.0512311 | − | 0.0644123i | ||||
\(141\) | 8.25681 | − | 5.51702i | 0.695349 | − | 0.464617i | ||||
\(142\) | −0.0987221 | − | 0.0720519i | −0.00828457 | − | 0.00604646i | ||||
\(143\) | 8.13451 | − | 8.13451i | 0.680242 | − | 0.680242i | ||||
\(144\) | 0.900159 | + | 3.89740i | 0.0750133 | + | 0.324783i | ||||
\(145\) | 0.201328 | + | 0.201328i | 0.0167194 | + | 0.0167194i | ||||
\(146\) | −0.904776 | − | 5.79345i | −0.0748798 | − | 0.479470i | ||||
\(147\) | 9.10873 | + | 13.6322i | 0.751276 | + | 1.12436i | ||||
\(148\) | −6.66611 | − | 12.0247i | −0.547951 | − | 0.988423i | ||||
\(149\) | 1.95753 | + | 9.84118i | 0.160367 | + | 0.806221i | 0.974299 | + | 0.225260i | \(0.0723231\pi\) |
−0.813931 | + | 0.580961i | \(0.802677\pi\) | |||||||
\(150\) | −4.77892 | − | 5.19225i | −0.390197 | − | 0.423945i | ||||
\(151\) | −0.922736 | + | 2.22768i | −0.0750912 | + | 0.181286i | −0.956968 | − | 0.290194i | \(-0.906280\pi\) |
0.881877 | + | 0.471480i | \(0.156280\pi\) | |||||||
\(152\) | 5.04475 | + | 6.48519i | 0.409183 | + | 0.526018i | ||||
\(153\) | −2.19826 | − | 5.30707i | −0.177719 | − | 0.429051i | ||||
\(154\) | −20.2671 | − | 9.39637i | −1.63317 | − | 0.757181i | ||||
\(155\) | −0.348715 | + | 0.521889i | −0.0280095 | + | 0.0419192i | ||||
\(156\) | 7.02089 | + | 0.583069i | 0.562121 | + | 0.0466828i | ||||
\(157\) | −5.90340 | − | 1.17426i | −0.471143 | − | 0.0937161i | −0.0461920 | − | 0.998933i | \(-0.514709\pi\) |
−0.424951 | + | 0.905216i | \(0.639709\pi\) | |||||||
\(158\) | −18.7245 | − | 4.53812i | −1.48964 | − | 0.361034i | ||||
\(159\) | − | 4.82714i | − | 0.382817i | ||||||
\(160\) | −0.476866 | + | 0.311239i | −0.0376996 | + | 0.0246056i | ||||
\(161\) | 12.9238i | 1.01854i | ||||||||
\(162\) | 0.333110 | − | 1.37442i | 0.0261716 | − | 0.107985i | ||||
\(163\) | −11.6929 | − | 2.32587i | −0.915861 | − | 0.182176i | −0.285410 | − | 0.958405i | \(-0.592130\pi\) |
−0.630451 | + | 0.776229i | \(0.717130\pi\) | |||||||
\(164\) | 10.6562 | + | 12.5864i | 0.832109 | + | 0.982836i | ||||
\(165\) | 0.182646 | − | 0.273349i | 0.0142190 | − | 0.0212802i | ||||
\(166\) | 7.98320 | − | 17.2190i | 0.619617 | − | 1.33646i | ||||
\(167\) | −7.40739 | − | 17.8830i | −0.573201 | − | 1.38383i | −0.898816 | − | 0.438327i | \(-0.855571\pi\) |
0.325614 | − | 0.945503i | \(-0.394429\pi\) | |||||||
\(168\) | −3.62815 | − | 13.1909i | −0.279918 | − | 1.01770i | ||||
\(169\) | −0.226471 | + | 0.546749i | −0.0174208 | + | 0.0420576i | ||||
\(170\) | 0.601707 | − | 0.553808i | 0.0461488 | − | 0.0424751i | ||||
\(171\) | −0.566717 | − | 2.84908i | −0.0433379 | − | 0.217874i | ||||
\(172\) | −3.64722 | − | 1.04564i | −0.278098 | − | 0.0797295i | ||||
\(173\) | 2.73438 | + | 4.09228i | 0.207891 | + | 0.311131i | 0.920732 | − | 0.390194i | \(-0.127592\pi\) |
−0.712842 | + | 0.701325i | \(0.752592\pi\) | |||||||
\(174\) | 3.95206 | − | 0.617202i | 0.299605 | − | 0.0467899i | ||||
\(175\) | 17.0662 | + | 17.0662i | 1.29009 | + | 1.29009i | ||||
\(176\) | 9.51572 | + | 8.94986i | 0.717274 | + | 0.674621i | ||||
\(177\) | −1.48312 | + | 1.48312i | −0.111478 | + | 0.111478i | ||||
\(178\) | 1.48215 | − | 2.03078i | 0.111092 | − | 0.152213i | ||||
\(179\) | −6.34387 | + | 4.23884i | −0.474163 | + | 0.316825i | −0.769588 | − | 0.638540i | \(-0.779539\pi\) |
0.295426 | + | 0.955366i | \(0.404539\pi\) | |||||||
\(180\) | 0.200035 | − | 0.0228003i | 0.0149097 | − | 0.00169944i | ||||
\(181\) | −11.1178 | + | 2.21146i | −0.826376 | + | 0.164376i | −0.590121 | − | 0.807315i | \(-0.700920\pi\) |
−0.236255 | + | 0.971691i | \(0.575920\pi\) | |||||||
\(182\) | −24.0747 | − | 0.997957i | −1.78454 | − | 0.0739735i | ||||
\(183\) | −1.85508 | − | 0.768399i | −0.137131 | − | 0.0568017i | ||||
\(184\) | 2.38186 | − | 7.17221i | 0.175593 | − | 0.528742i | ||||
\(185\) | −0.639337 | + | 0.264822i | −0.0470050 | + | 0.0194701i | ||||
\(186\) | 3.03418 | + | 8.27951i | 0.222477 | + | 0.607083i | ||||
\(187\) | −15.5983 | − | 10.4225i | −1.14066 | − | 0.762165i | ||||
\(188\) | 18.9150 | − | 6.05570i | 1.37952 | − | 0.441657i | ||||
\(189\) | −0.943626 | + | 4.74393i | −0.0686387 | + | 0.345070i | ||||
\(190\) | 0.353072 | − | 0.215316i | 0.0256145 | − | 0.0156206i | ||||
\(191\) | 15.8787 | 1.14894 | 0.574472 | − | 0.818524i | \(-0.305207\pi\) | ||||
0.574472 | + | 0.818524i | \(0.305207\pi\) | |||||||
\(192\) | −0.417596 | + | 7.98909i | −0.0301374 | + | 0.576563i | ||||
\(193\) | 6.99891 | 0.503793 | 0.251896 | − | 0.967754i | \(-0.418946\pi\) | ||||
0.251896 | + | 0.967754i | \(0.418946\pi\) | |||||||
\(194\) | 20.5749 | − | 12.5473i | 1.47719 | − | 0.900843i | ||||
\(195\) | 0.0691782 | − | 0.347782i | 0.00495395 | − | 0.0249052i | ||||
\(196\) | 9.99810 | + | 31.2291i | 0.714150 | + | 2.23065i | ||||
\(197\) | 14.9236 | + | 9.97165i | 1.06326 | + | 0.710451i | 0.958801 | − | 0.284078i | \(-0.0916874\pi\) |
0.104464 | + | 0.994529i | \(0.466687\pi\) | |||||||
\(198\) | −1.58920 | − | 4.33654i | −0.112940 | − | 0.308184i | ||||
\(199\) | 14.2586 | − | 5.90612i | 1.01077 | − | 0.418674i | 0.185033 | − | 0.982732i | \(-0.440761\pi\) |
0.825735 | + | 0.564059i | \(0.190761\pi\) | |||||||
\(200\) | −6.32580 | − | 12.6164i | −0.447302 | − | 0.892116i | ||||
\(201\) | −12.0224 | − | 4.97982i | −0.847992 | − | 0.351250i | ||||
\(202\) | 24.8461 | + | 1.02993i | 1.74816 | + | 0.0724657i | ||||
\(203\) | −13.4177 | + | 2.66895i | −0.941741 | + | 0.187324i | ||||
\(204\) | −1.30107 | − | 11.4147i | −0.0910933 | − | 0.799192i | ||||
\(205\) | 0.690173 | − | 0.461159i | 0.0482038 | − | 0.0322087i | ||||
\(206\) | 9.46056 | − | 12.9624i | 0.659148 | − | 0.903133i | ||||
\(207\) | −1.88934 | + | 1.88934i | −0.131318 | + | 0.131318i | ||||
\(208\) | 13.1766 | + | 4.99080i | 0.913634 | + | 0.346050i | ||||
\(209\) | −6.70822 | − | 6.70822i | −0.464017 | − | 0.464017i | ||||
\(210\) | −0.680339 | + | 0.106250i | −0.0469479 | + | 0.00733195i | ||||
\(211\) | −2.17121 | − | 3.24945i | −0.149473 | − | 0.223702i | 0.749176 | − | 0.662371i | \(-0.230450\pi\) |
−0.898648 | + | 0.438670i | \(0.855450\pi\) | |||||||
\(212\) | 2.66066 | − | 9.28041i | 0.182735 | − | 0.637381i | ||||
\(213\) | 0.0168601 | + | 0.0847615i | 0.00115524 | + | 0.00580776i | ||||
\(214\) | −3.26845 | + | 3.00826i | −0.223426 | + | 0.205641i | ||||
\(215\) | −0.0730807 | + | 0.176432i | −0.00498406 | + | 0.0120326i | ||||
\(216\) | 1.39798 | − | 2.45879i | 0.0951207 | − | 0.167299i | ||||
\(217\) | −11.5414 | − | 27.8633i | −0.783479 | − | 1.89148i | ||||
\(218\) | −2.23898 | + | 4.82927i | −0.151643 | + | 0.327079i | ||||
\(219\) | −2.30353 | + | 3.44748i | −0.155658 | + | 0.232959i | ||||
\(220\) | 0.501812 | − | 0.424854i | 0.0338321 | − | 0.0286437i | ||||
\(221\) | −19.8458 | − | 3.94757i | −1.33497 | − | 0.265542i | ||||
\(222\) | −2.28993 | + | 9.44834i | −0.153690 | + | 0.634131i | ||||
\(223\) | 4.67434i | 0.313017i | 0.987677 | + | 0.156508i | \(0.0500238\pi\) | ||||
−0.987677 | + | 0.156508i | \(0.949976\pi\) | |||||||
\(224\) | 0.295345 | − | 27.3599i | 0.0197336 | − | 1.82806i | ||||
\(225\) | 4.98987i | 0.332658i | ||||||||
\(226\) | 4.21586 | + | 1.02177i | 0.280435 | + | 0.0679672i | ||||
\(227\) | 10.5980 | + | 2.10808i | 0.703415 | + | 0.139918i | 0.533823 | − | 0.845596i | \(-0.320755\pi\) |
0.169592 | + | 0.985514i | \(0.445755\pi\) | |||||||
\(228\) | 0.480834 | − | 5.78985i | 0.0318440 | − | 0.383442i | ||||
\(229\) | −5.25091 | + | 7.85854i | −0.346990 | + | 0.519307i | −0.963382 | − | 0.268132i | \(-0.913594\pi\) |
0.616392 | + | 0.787439i | \(0.288594\pi\) | |||||||
\(230\) | −0.345096 | − | 0.159996i | −0.0227550 | − | 0.0105498i | ||||
\(231\) | 6.04499 | + | 14.5939i | 0.397731 | + | 0.960208i | ||||
\(232\) | 7.93822 | + | 0.991724i | 0.521170 | + | 0.0651099i | ||||
\(233\) | −11.3792 | + | 27.4717i | −0.745474 | + | 1.79973i | −0.163467 | + | 0.986549i | \(0.552268\pi\) |
−0.582006 | + | 0.813184i | \(0.697732\pi\) | |||||||
\(234\) | −3.37361 | − | 3.66540i | −0.220540 | − | 0.239615i | ||||
\(235\) | −0.195021 | − | 0.980434i | −0.0127217 | − | 0.0639565i | ||||
\(236\) | −3.66884 | + | 2.03389i | −0.238821 | + | 0.132395i | ||||
\(237\) | 7.56882 | + | 11.3275i | 0.491648 | + | 0.735803i | ||||
\(238\) | 6.06303 | + | 38.8227i | 0.393008 | + | 2.51650i | ||||
\(239\) | 14.5864 | + | 14.5864i | 0.943516 | + | 0.943516i | 0.998488 | − | 0.0549722i | \(-0.0175070\pi\) |
−0.0549722 | + | 0.998488i | \(0.517507\pi\) | |||||||
\(240\) | 0.397144 | + | 0.0664219i | 0.0256355 | + | 0.00428752i | ||||
\(241\) | 8.93724 | − | 8.93724i | 0.575698 | − | 0.575698i | −0.358017 | − | 0.933715i | \(-0.616547\pi\) |
0.933715 | + | 0.358017i | \(0.116547\pi\) | |||||||
\(242\) | 0.382040 | + | 0.278830i | 0.0245584 | + | 0.0179239i | ||||
\(243\) | −0.831470 | + | 0.555570i | −0.0533388 | + | 0.0356398i | ||||
\(244\) | −3.14295 | − | 2.49978i | −0.201207 | − | 0.160032i | ||||
\(245\) | 1.61872 | − | 0.321983i | 0.103416 | − | 0.0205708i | ||||
\(246\) | 0.482976 | − | 11.6513i | 0.0307934 | − | 0.742861i | ||||
\(247\) | −9.45366 | − | 3.91583i | −0.601522 | − | 0.249159i | ||||
\(248\) | 1.26980 | + | 17.5902i | 0.0806324 | + | 1.11698i | ||||
\(249\) | −12.3990 | + | 5.13585i | −0.785757 | + | 0.325471i | ||||
\(250\) | −1.33533 | + | 0.489358i | −0.0844539 | + | 0.0309497i | ||||
\(251\) | −10.0606 | − | 6.72225i | −0.635017 | − | 0.424304i | 0.195960 | − | 0.980612i | \(-0.437218\pi\) |
−0.830977 | + | 0.556307i | \(0.812218\pi\) | |||||||
\(252\) | −4.42896 | + | 8.60032i | −0.278998 | + | 0.541769i | ||||
\(253\) | −1.70237 | + | 8.55837i | −0.107027 | + | 0.538060i | ||||
\(254\) | 5.22548 | + | 8.56867i | 0.327876 | + | 0.537646i | ||||
\(255\) | −0.578253 | −0.0362116 | ||||||||
\(256\) | −5.20633 | + | 15.1292i | −0.325396 | + | 0.945578i | ||||
\(257\) | −18.3135 | −1.14236 | −0.571182 | − | 0.820823i | \(-0.693515\pi\) | ||||
−0.571182 | + | 0.820823i | \(0.693515\pi\) | |||||||
\(258\) | 1.39685 | + | 2.29054i | 0.0869642 | + | 0.142603i | ||||
\(259\) | 6.48687 | − | 32.6117i | 0.403075 | − | 2.02639i | ||||
\(260\) | 0.324691 | − | 0.630498i | 0.0201365 | − | 0.0391018i | ||||
\(261\) | −2.35173 | − | 1.57138i | −0.145568 | − | 0.0972657i | ||||
\(262\) | −26.6393 | + | 9.76246i | −1.64578 | + | 0.603127i | ||||
\(263\) | −2.21860 | + | 0.918973i | −0.136805 | + | 0.0566663i | −0.450035 | − | 0.893011i | \(-0.648589\pi\) |
0.313231 | + | 0.949677i | \(0.398589\pi\) | |||||||
\(264\) | −0.665081 | − | 9.21315i | −0.0409329 | − | 0.567030i | ||||
\(265\) | −0.448936 | − | 0.185955i | −0.0275779 | − | 0.0114231i | ||||
\(266\) | −0.822976 | + | 19.8535i | −0.0504599 | + | 1.21729i | ||||
\(267\) | −1.74360 | + | 0.346823i | −0.106706 | + | 0.0212252i | ||||
\(268\) | −20.3688 | − | 16.2005i | −1.24422 | − | 0.989605i | ||||
\(269\) | 20.5565 | − | 13.7354i | 1.25335 | − | 0.837462i | 0.261542 | − | 0.965192i | \(-0.415769\pi\) |
0.991809 | + | 0.127730i | \(0.0407691\pi\) | |||||||
\(270\) | −0.114992 | − | 0.0839267i | −0.00699821 | − | 0.00510762i | ||||
\(271\) | 5.79244 | − | 5.79244i | 0.351866 | − | 0.351866i | −0.508938 | − | 0.860803i | \(-0.669962\pi\) |
0.860803 | + | 0.508938i | \(0.169962\pi\) | |||||||
\(272\) | 3.79029 | − | 22.6625i | 0.229820 | − | 1.37412i | ||||
\(273\) | 12.0477 | + | 12.0477i | 0.729159 | + | 0.729159i | ||||
\(274\) | 0.177872 | + | 1.13895i | 0.0107456 | + | 0.0688064i | ||||
\(275\) | 9.05357 | + | 13.5496i | 0.545951 | + | 0.817073i | ||||
\(276\) | −4.67373 | + | 2.59097i | −0.281326 | + | 0.155958i | ||||
\(277\) | −3.26963 | − | 16.4375i | −0.196453 | − | 0.987635i | −0.945625 | − | 0.325260i | \(-0.894548\pi\) |
0.749172 | − | 0.662376i | \(-0.230452\pi\) | |||||||
\(278\) | −1.92302 | − | 2.08934i | −0.115335 | − | 0.125310i | ||||
\(279\) | 2.38612 | − | 5.76061i | 0.142853 | − | 0.344879i | ||||
\(280\) | −1.36655 | − | 0.170723i | −0.0816669 | − | 0.0102027i | ||||
\(281\) | −3.51033 | − | 8.47468i | −0.209408 | − | 0.505557i | 0.783922 | − | 0.620859i | \(-0.213216\pi\) |
−0.993330 | + | 0.115303i | \(0.963216\pi\) | |||||||
\(282\) | −12.7409 | − | 5.90704i | −0.758712 | − | 0.351759i | ||||
\(283\) | 14.0558 | − | 21.0360i | 0.835532 | − | 1.25046i | −0.130346 | − | 0.991469i | \(-0.541609\pi\) |
0.965879 | − | 0.258994i | \(-0.0833910\pi\) | |||||||
\(284\) | −0.0143051 | + | 0.172251i | −0.000848849 | + | 0.0102212i | ||||
\(285\) | −0.286803 | − | 0.0570486i | −0.0169887 | − | 0.00337927i | ||||
\(286\) | −15.8113 | − | 3.83207i | −0.934940 | − | 0.226595i | ||||
\(287\) | 39.8838i | 2.35427i | ||||||||
\(288\) | 4.04294 | − | 3.95659i | 0.238233 | − | 0.233144i | ||||
\(289\) | 15.9973i | 0.941018i | ||||||||
\(290\) | 0.0948434 | − | 0.391328i | 0.00556940 | − | 0.0229795i | ||||
\(291\) | −16.7131 | − | 3.32445i | −0.979741 | − | 0.194883i | ||||
\(292\) | −6.32886 | + | 5.35827i | −0.370368 | + | 0.313569i | ||||
\(293\) | 3.95053 | − | 5.91239i | 0.230793 | − | 0.345405i | −0.697940 | − | 0.716156i | \(-0.745900\pi\) |
0.928732 | + | 0.370751i | \(0.120900\pi\) | |||||||
\(294\) | 9.75266 | − | 21.0356i | 0.568787 | − | 1.22682i | ||||
\(295\) | 0.0807995 | + | 0.195067i | 0.00470433 | + | 0.0113573i | ||||
\(296\) | −9.61031 | + | 16.9027i | −0.558588 | + | 0.982451i | ||||
\(297\) | −1.24977 | + | 3.01722i | −0.0725192 | + | 0.175077i | ||||
\(298\) | 10.4409 | − | 9.60979i | 0.604828 | − | 0.556680i | ||||
\(299\) | 1.83618 | + | 9.23111i | 0.106189 | + | 0.533849i | ||||
\(300\) | −2.75035 | + | 9.59326i | −0.158792 | + | 0.553867i | ||||
\(301\) | −5.09785 | − | 7.62948i | −0.293835 | − | 0.439756i | ||||
\(302\) | 3.36915 | − | 0.526167i | 0.193873 | − | 0.0302775i | ||||
\(303\) | −12.4337 | − | 12.4337i | −0.714297 | − | 0.714297i | ||||
\(304\) | 4.11572 | − | 10.8662i | 0.236053 | − | 0.623222i | ||||
\(305\) | −0.142926 | + | 0.142926i | −0.00818392 | + | 0.00818392i | ||||
\(306\) | −4.78917 | + | 6.56189i | −0.273779 | + | 0.375118i | ||||
\(307\) | −1.81435 | + | 1.21231i | −0.103550 | + | 0.0691902i | −0.606267 | − | 0.795261i | \(-0.707334\pi\) |
0.502717 | + | 0.864451i | \(0.332334\pi\) | |||||||
\(308\) | 3.57782 | + | 31.3894i | 0.203865 | + | 1.78858i | ||||
\(309\) | −11.1293 | + | 2.21376i | −0.633126 | + | 0.125937i | ||||
\(310\) | 0.886899 | + | 0.0367642i | 0.0503725 | + | 0.00208807i | ||||
\(311\) | 2.19072 | + | 0.907427i | 0.124224 | + | 0.0514555i | 0.443930 | − | 0.896062i | \(-0.353584\pi\) |
−0.319705 | + | 0.947517i | \(0.603584\pi\) | |||||||
\(312\) | −4.46561 | − | 8.90640i | −0.252816 | − | 0.504225i | ||||
\(313\) | 6.02146 | − | 2.49417i | 0.340353 | − | 0.140979i | −0.205959 | − | 0.978561i | \(-0.566031\pi\) |
0.546312 | + | 0.837582i | \(0.316031\pi\) | |||||||
\(314\) | 2.92898 | + | 7.99244i | 0.165292 | + | 0.451040i | ||||
\(315\) | 0.404846 | + | 0.270509i | 0.0228105 | + | 0.0152415i | ||||
\(316\) | 8.30783 | + | 25.9496i | 0.467352 | + | 1.45978i | ||||
\(317\) | 4.84374 | − | 24.3511i | 0.272051 | − | 1.36769i | −0.567034 | − | 0.823694i | \(-0.691909\pi\) |
0.839085 | − | 0.544000i | \(-0.183091\pi\) | |||||||
\(318\) | −5.82832 | + | 3.55432i | −0.326836 | + | 0.199316i | ||||
\(319\) | −9.23704 | −0.517175 | ||||||||
\(320\) | 0.726918 | + | 0.346600i | 0.0406360 | + | 0.0193755i | ||||
\(321\) | 3.14105 | 0.175316 | ||||||||
\(322\) | 15.6043 | − | 9.51604i | 0.869592 | − | 0.530308i | ||||
\(323\) | −3.25541 | + | 16.3660i | −0.181136 | + | 0.910630i | ||||
\(324\) | −1.90476 | + | 0.609815i | −0.105820 | + | 0.0338786i | ||||
\(325\) | 14.6147 | + | 9.76523i | 0.810677 | + | 0.541677i | ||||
\(326\) | 5.80146 | + | 15.8307i | 0.321313 | + | 0.876782i | ||||
\(327\) | 3.47745 | − | 1.44041i | 0.192303 | − | 0.0796547i | ||||
\(328\) | 7.35060 | − | 22.1340i | 0.405869 | − | 1.22215i | ||||
\(329\) | 44.3757 | + | 18.3810i | 2.44651 | + | 1.01338i | ||||
\(330\) | −0.464529 | − | 0.0192559i | −0.0255715 | − | 0.00106000i | ||||
\(331\) | −30.0815 | + | 5.98358i | −1.65343 | + | 0.328887i | −0.931683 | − | 0.363273i | \(-0.881659\pi\) |
−0.721744 | + | 0.692160i | \(0.756659\pi\) | |||||||
\(332\) | −26.6686 | + | 3.03973i | −1.46363 | + | 0.166827i | ||||
\(333\) | 5.71586 | − | 3.81922i | 0.313227 | − | 0.209292i | ||||
\(334\) | −16.1379 | + | 22.1114i | −0.883026 | + | 1.20988i | ||||
\(335\) | −0.926272 | + | 0.926272i | −0.0506076 | + | 0.0506076i | ||||
\(336\) | −13.2553 | + | 14.0933i | −0.723134 | + | 0.768855i | ||||
\(337\) | −5.03180 | − | 5.03180i | −0.274100 | − | 0.274100i | 0.556648 | − | 0.830748i | \(-0.312087\pi\) |
−0.830748 | + | 0.556648i | \(0.812087\pi\) | |||||||
\(338\) | 0.826904 | − | 0.129139i | 0.0449776 | − | 0.00702425i | ||||
\(339\) | −1.70414 | − | 2.55043i | −0.0925562 | − | 0.138520i | ||||
\(340\) | −1.11172 | − | 0.318726i | −0.0602915 | − | 0.0172853i | ||||
\(341\) | −3.97265 | − | 19.9719i | −0.215131 | − | 1.08154i | ||||
\(342\) | −3.02271 | + | 2.78209i | −0.163450 | + | 0.150438i | ||||
\(343\) | −17.3906 | + | 41.9845i | −0.939002 | + | 2.26695i | ||||
\(344\) | 1.42300 | + | 5.17360i | 0.0767230 | + | 0.278942i | ||||
\(345\) | 0.102930 | + | 0.248496i | 0.00554159 | + | 0.0133786i | ||||
\(346\) | 2.92768 | − | 6.31474i | 0.157393 | − | 0.339482i | ||||
\(347\) | 3.94444 | − | 5.90327i | 0.211749 | − | 0.316904i | −0.710358 | − | 0.703841i | \(-0.751467\pi\) |
0.922106 | + | 0.386937i | \(0.126467\pi\) | |||||||
\(348\) | −3.65519 | − | 4.31729i | −0.195939 | − | 0.231431i | ||||
\(349\) | 24.2180 | + | 4.81726i | 1.29636 | + | 0.257862i | 0.794594 | − | 0.607141i | \(-0.207684\pi\) |
0.501767 | + | 0.865003i | \(0.332684\pi\) | |||||||
\(350\) | 8.03971 | − | 33.1721i | 0.429740 | − | 1.77313i | ||||
\(351\) | 3.52253i | 0.188019i | ||||||||
\(352\) | 3.79952 | − | 18.0793i | 0.202515 | − | 0.963631i | ||||
\(353\) | − | 14.8423i | − | 0.789978i | −0.918686 | − | 0.394989i | \(-0.870748\pi\) | ||
0.918686 | − | 0.394989i | \(-0.129252\pi\) | |||||||
\(354\) | 2.88277 | + | 0.698679i | 0.153218 | + | 0.0371343i | ||||
\(355\) | 0.00853252 | + | 0.00169722i | 0.000452859 | + | 9.00793e-5i | ||||
\(356\) | −3.54331 | − | 0.294264i | −0.187795 | − | 0.0155960i | ||||
\(357\) | 15.4363 | − | 23.1020i | 0.816974 | − | 1.22269i | ||||
\(358\) | 9.78912 | + | 4.53850i | 0.517371 | + | 0.239867i | ||||
\(359\) | 7.73959 | + | 18.6850i | 0.408480 | + | 0.986158i | 0.985538 | + | 0.169455i | \(0.0542006\pi\) |
−0.577058 | + | 0.816703i | \(0.695799\pi\) | |||||||
\(360\) | −0.174819 | − | 0.224735i | −0.00921377 | − | 0.0118446i | ||||
\(361\) | 4.04175 | − | 9.75764i | 0.212724 | − | 0.513560i | ||||
\(362\) | 10.8564 | + | 11.7953i | 0.570597 | + | 0.619949i | ||||
\(363\) | −0.0652460 | − | 0.328014i | −0.00342453 | − | 0.0172163i | ||||
\(364\) | 16.5217 | + | 29.8028i | 0.865974 | + | 1.56209i | ||||
\(365\) | 0.231885 | + | 0.347041i | 0.0121374 | + | 0.0181649i | ||||
\(366\) | 0.438161 | + | 2.80563i | 0.0229030 | + | 0.146652i | ||||
\(367\) | −18.9516 | − | 18.9516i | −0.989263 | − | 0.989263i | 0.0106799 | − | 0.999943i | \(-0.496600\pi\) |
−0.999943 | + | 0.0106799i | \(0.996600\pi\) | |||||||
\(368\) | −10.4136 | + | 2.40517i | −0.542846 | + | 0.125378i | ||||
\(369\) | −5.83066 | + | 5.83066i | −0.303532 | + | 0.303532i | ||||
\(370\) | 0.790504 | + | 0.576946i | 0.0410964 | + | 0.0299940i | ||||
\(371\) | 19.4133 | − | 12.9716i | 1.00789 | − | 0.673451i | ||||
\(372\) | 7.76261 | − | 9.75985i | 0.402473 | − | 0.506025i | ||||
\(373\) | 27.2886 | − | 5.42804i | 1.41295 | − | 0.281053i | 0.571152 | − | 0.820845i | \(-0.306497\pi\) |
0.841799 | + | 0.539791i | \(0.181497\pi\) | |||||||
\(374\) | −1.09881 | + | 26.5078i | −0.0568183 | + | 1.37068i | ||||
\(375\) | 0.929082 | + | 0.384838i | 0.0479776 | + | 0.0198730i | ||||
\(376\) | −21.2392 | − | 18.3792i | −1.09533 | − | 0.947836i | ||||
\(377\) | −9.20473 | + | 3.81272i | −0.474068 | + | 0.196365i | ||||
\(378\) | 6.42267 | − | 2.35371i | 0.330346 | − | 0.121062i | ||||
\(379\) | 23.6314 | + | 15.7900i | 1.21387 | + | 0.811079i | 0.986664 | − | 0.162769i | \(-0.0520425\pi\) |
0.227201 | + | 0.973848i | \(0.427043\pi\) | |||||||
\(380\) | −0.519947 | − | 0.267760i | −0.0266727 | − | 0.0137358i | ||||
\(381\) | 1.38451 | − | 6.96039i | 0.0709305 | − | 0.356592i | ||||
\(382\) | −11.6918 | − | 19.1721i | −0.598205 | − | 0.980930i | ||||
\(383\) | 11.1803 | 0.571288 | 0.285644 | − | 0.958336i | \(-0.407793\pi\) | ||||
0.285644 | + | 0.958336i | \(0.407793\pi\) | |||||||
\(384\) | 9.95358 | − | 5.37832i | 0.507941 | − | 0.274461i | ||||
\(385\) | 1.59014 | 0.0810409 | ||||||||
\(386\) | −5.15344 | − | 8.45054i | −0.262303 | − | 0.430121i | ||||
\(387\) | 0.370101 | − | 1.86062i | 0.0188133 | − | 0.0945807i | ||||
\(388\) | −30.2994 | − | 15.6035i | −1.53822 | − | 0.792146i | ||||
\(389\) | 20.1939 | + | 13.4932i | 1.02387 | + | 0.684130i | 0.949715 | − | 0.313116i | \(-0.101373\pi\) |
0.0741586 | + | 0.997246i | \(0.476373\pi\) | |||||||
\(390\) | −0.470852 | + | 0.172553i | −0.0238425 | + | 0.00873754i | ||||
\(391\) | 14.1801 | − | 5.87360i | 0.717120 | − | 0.297041i | ||||
\(392\) | 30.3445 | − | 35.0664i | 1.53263 | − | 1.77112i | ||||
\(393\) | 18.5347 | + | 7.67734i | 0.934954 | + | 0.387271i | ||||
\(394\) | 1.05129 | − | 25.3612i | 0.0529631 | − | 1.27768i | ||||
\(395\) | 1.34506 | − | 0.267549i | 0.0676774 | − | 0.0134619i | ||||
\(396\) | −4.06580 | + | 5.11190i | −0.204314 | + | 0.256882i | ||||
\(397\) | −1.27776 | + | 0.853769i | −0.0641287 | + | 0.0428495i | −0.587221 | − | 0.809426i | \(-0.699778\pi\) |
0.523093 | + | 0.852276i | \(0.324778\pi\) | |||||||
\(398\) | −17.6300 | − | 12.8672i | −0.883712 | − | 0.644974i | ||||
\(399\) | 9.93526 | − | 9.93526i | 0.497385 | − | 0.497385i | ||||
\(400\) | −10.5754 | + | 16.9276i | −0.528768 | + | 0.846378i | ||||
\(401\) | −12.9131 | − | 12.9131i | −0.644851 | − | 0.644851i | 0.306893 | − | 0.951744i | \(-0.400711\pi\) |
−0.951744 | + | 0.306893i | \(0.900711\pi\) | |||||||
\(402\) | 2.83962 | + | 18.1826i | 0.141627 | + | 0.906867i | ||||
\(403\) | −12.2024 | − | 18.2622i | −0.607847 | − | 0.909707i | ||||
\(404\) | −17.0511 | − | 30.7577i | −0.848324 | − | 1.53025i | ||||
\(405\) | 0.0196388 | + | 0.0987308i | 0.000975859 | + | 0.00490597i | ||||
\(406\) | 13.1023 | + | 14.2355i | 0.650254 | + | 0.706495i | ||||
\(407\) | 8.59146 | − | 20.7416i | 0.425863 | − | 1.02812i | ||||
\(408\) | −12.8242 | + | 9.97583i | −0.634895 | + | 0.493877i | ||||
\(409\) | 9.18237 | + | 22.1682i | 0.454039 | + | 1.09615i | 0.970773 | + | 0.240001i | \(0.0771478\pi\) |
−0.516734 | + | 0.856146i | \(0.672852\pi\) | |||||||
\(410\) | −1.06499 | − | 0.493760i | −0.0525963 | − | 0.0243851i | ||||
\(411\) | 0.452857 | − | 0.677748i | 0.0223378 | − | 0.0334309i | ||||
\(412\) | −22.6169 | − | 1.87828i | −1.11425 | − | 0.0925363i | ||||
\(413\) | −9.95012 | − | 1.97920i | −0.489613 | − | 0.0973902i | ||||
\(414\) | 3.67236 | + | 0.890046i | 0.180487 | + | 0.0437434i | ||||
\(415\) | 1.35099i | 0.0663174i | ||||||||
\(416\) | −3.67627 | − | 19.5844i | −0.180244 | − | 0.960203i | ||||
\(417\) | 2.00790i | 0.0983272i | ||||||||
\(418\) | −3.16016 | + | 13.0389i | −0.154568 | + | 0.637755i | ||||
\(419\) | −37.2153 | − | 7.40258i | −1.81809 | − | 0.361640i | −0.835801 | − | 0.549032i | \(-0.814996\pi\) |
−0.982285 | + | 0.187393i | \(0.939996\pi\) | |||||||
\(420\) | 0.629234 | + | 0.743213i | 0.0307035 | + | 0.0362651i | ||||
\(421\) | −20.1410 | + | 30.1432i | −0.981614 | + | 1.46909i | −0.101211 | + | 0.994865i | \(0.532272\pi\) |
−0.880404 | + | 0.474225i | \(0.842728\pi\) | |||||||
\(422\) | −2.32471 | + | 5.01418i | −0.113165 | + | 0.244086i | ||||
\(423\) | 3.80019 | + | 9.17447i | 0.184772 | + | 0.446078i | ||||
\(424\) | −13.1643 | + | 3.62085i | −0.639316 | + | 0.175844i | ||||
\(425\) | 10.9690 | − | 26.4816i | 0.532076 | − | 1.28454i | ||||
\(426\) | 0.0899272 | − | 0.0827685i | 0.00435699 | − | 0.00401015i | ||||
\(427\) | −1.89473 | − | 9.52545i | −0.0916924 | − | 0.460969i | ||||
\(428\) | 6.03882 | + | 1.73131i | 0.291897 | + | 0.0836859i | ||||
\(429\) | 6.39124 | + | 9.56517i | 0.308572 | + | 0.461811i | ||||
\(430\) | 0.266837 | − | 0.0416724i | 0.0128680 | − | 0.00200962i | ||||
\(431\) | −0.0249615 | − | 0.0249615i | −0.00120235 | − | 0.00120235i | 0.706505 | − | 0.707708i | \(-0.250271\pi\) |
−0.707708 | + | 0.706505i | \(0.750271\pi\) | |||||||
\(432\) | −3.99812 | + | 0.122518i | −0.192360 | + | 0.00589467i | ||||
\(433\) | 6.32792 | − | 6.32792i | 0.304100 | − | 0.304100i | −0.538515 | − | 0.842616i | \(-0.681015\pi\) |
0.842616 | + | 0.538515i | \(0.181015\pi\) | |||||||
\(434\) | −25.1442 | + | 34.4514i | −1.20696 | + | 1.65372i | ||||
\(435\) | −0.236737 | + | 0.158183i | −0.0113507 | + | 0.00758428i | ||||
\(436\) | 7.47950 | − | 0.852526i | 0.358203 | − | 0.0408286i | ||||
\(437\) | 7.61254 | − | 1.51423i | 0.364157 | − | 0.0724354i | ||||
\(438\) | 5.85865 | + | 0.242856i | 0.279937 | + | 0.0116041i | ||||
\(439\) | 17.2933 | + | 7.16314i | 0.825366 | + | 0.341878i | 0.755067 | − | 0.655648i | \(-0.227604\pi\) |
0.0702997 | + | 0.997526i | \(0.477604\pi\) | |||||||
\(440\) | −0.882466 | − | 0.293063i | −0.0420699 | − | 0.0139712i | ||||
\(441\) | −15.1473 | + | 6.27420i | −0.721298 | + | 0.298772i | ||||
\(442\) | 9.84650 | + | 26.8686i | 0.468350 | + | 1.27801i | ||||
\(443\) | 16.8215 | + | 11.2398i | 0.799216 | + | 0.534019i | 0.886808 | − | 0.462137i | \(-0.152917\pi\) |
−0.0875925 | + | 0.996156i | \(0.527917\pi\) | |||||||
\(444\) | 13.0941 | − | 4.19212i | 0.621420 | − | 0.198949i | ||||
\(445\) | −0.0349130 | + | 0.175519i | −0.00165503 | + | 0.00832041i | ||||
\(446\) | 5.64383 | − | 3.44180i | 0.267243 | − | 0.162974i | ||||
\(447\) | −10.0340 | −0.474591 | ||||||||
\(448\) | −33.2520 | + | 19.7890i | −1.57101 | + | 0.934942i | ||||
\(449\) | −40.4267 | −1.90785 | −0.953927 | − | 0.300039i | \(-0.903000\pi\) | ||||
−0.953927 | + | 0.300039i | \(0.903000\pi\) | |||||||
\(450\) | 6.02480 | − | 3.67414i | 0.284012 | − | 0.173200i | ||||
\(451\) | −5.25364 | + | 26.4118i | −0.247384 | + | 1.24368i | ||||
\(452\) | −1.87053 | − | 5.84262i | −0.0879823 | − | 0.274814i | ||||
\(453\) | −2.00486 | − | 1.33960i | −0.0941966 | − | 0.0629401i | ||||
\(454\) | −5.25822 | − | 14.3483i | −0.246780 | − | 0.673401i | ||||
\(455\) | 1.58458 | − | 0.656353i | 0.0742860 | − | 0.0307703i | ||||
\(456\) | −7.34476 | + | 3.68262i | −0.343950 | + | 0.172455i | ||||
\(457\) | −18.3515 | − | 7.60145i | −0.858448 | − | 0.355581i | −0.0903477 | − | 0.995910i | \(-0.528798\pi\) |
−0.768100 | + | 0.640329i | \(0.778798\pi\) | |||||||
\(458\) | 13.3548 | + | 0.553590i | 0.624029 | + | 0.0258676i | ||||
\(459\) | 5.63395 | − | 1.12066i | 0.262970 | − | 0.0523081i | ||||
\(460\) | 0.0609210 | + | 0.534480i | 0.00284045 | + | 0.0249203i | ||||
\(461\) | 0.815951 | − | 0.545201i | 0.0380026 | − | 0.0253925i | −0.536424 | − | 0.843949i | \(-0.680225\pi\) |
0.574426 | + | 0.818556i | \(0.305225\pi\) | |||||||
\(462\) | 13.1697 | − | 18.0445i | 0.612712 | − | 0.839508i | ||||
\(463\) | 3.20796 | − | 3.20796i | 0.149087 | − | 0.149087i | −0.628623 | − | 0.777710i | \(-0.716381\pi\) |
0.777710 | + | 0.628623i | \(0.216381\pi\) | |||||||
\(464\) | −4.64765 | − | 10.3149i | −0.215762 | − | 0.478857i | ||||
\(465\) | −0.443830 | − | 0.443830i | −0.0205821 | − | 0.0205821i | ||||
\(466\) | 41.5483 | − | 6.48868i | 1.92469 | − | 0.300583i | ||||
\(467\) | −5.91148 | − | 8.84716i | −0.273551 | − | 0.409398i | 0.669103 | − | 0.743170i | \(-0.266678\pi\) |
−0.942654 | + | 0.333772i | \(0.891678\pi\) | |||||||
\(468\) | −1.94157 | + | 6.77223i | −0.0897492 | + | 0.313046i | ||||
\(469\) | −12.2793 | − | 61.7323i | −0.567006 | − | 2.85053i | ||||
\(470\) | −1.04019 | + | 0.957382i | −0.0479802 | + | 0.0441608i | ||||
\(471\) | 2.30339 | − | 5.56088i | 0.106135 | − | 0.256232i | ||||
\(472\) | 5.15717 | + | 2.93219i | 0.237378 | + | 0.134965i | ||||
\(473\) | −2.37091 | − | 5.72389i | −0.109015 | − | 0.263185i | ||||
\(474\) | 8.10389 | − | 17.4793i | 0.372224 | − | 0.802853i | ||||
\(475\) | 8.05301 | − | 12.0522i | 0.369497 | − | 0.552992i | ||||
\(476\) | 42.4105 | − | 35.9065i | 1.94388 | − | 1.64577i | ||||
\(477\) | 4.73439 | + | 0.941728i | 0.216773 | + | 0.0431188i | ||||
\(478\) | 6.87148 | − | 28.3520i | 0.314294 | − | 1.29679i | ||||
\(479\) | − | 10.3863i | − | 0.474560i | −0.971441 | − | 0.237280i | \(-0.923744\pi\) | ||
0.971441 | − | 0.237280i | \(-0.0762559\pi\) | |||||||
\(480\) | −0.212227 | − | 0.528423i | −0.00968678 | − | 0.0241191i | ||||
\(481\) | − | 24.2153i | − | 1.10412i | ||||||
\(482\) | −17.3716 | − | 4.21023i | −0.791253 | − | 0.191771i | ||||
\(483\) | −12.6755 | − | 2.52131i | −0.576753 | − | 0.114723i | ||||
\(484\) | 0.0553584 | − | 0.666586i | 0.00251629 | − | 0.0302993i | ||||
\(485\) | −0.953019 | + | 1.42629i | −0.0432744 | + | 0.0647647i | ||||
\(486\) | 1.28303 | + | 0.594846i | 0.0581993 | + | 0.0269827i | ||||
\(487\) | 7.54201 | + | 18.2080i | 0.341761 | + | 0.825084i | 0.997538 | + | 0.0701296i | \(0.0223413\pi\) |
−0.655777 | + | 0.754955i | \(0.727659\pi\) | |||||||
\(488\) | −0.704040 | + | 5.63546i | −0.0318704 | + | 0.255105i | ||||
\(489\) | 4.56235 | − | 11.0145i | 0.206317 | − | 0.498093i | ||||
\(490\) | −1.58066 | − | 1.71737i | −0.0714070 | − | 0.0775830i | ||||
\(491\) | −1.06377 | − | 5.34796i | −0.0480075 | − | 0.241350i | 0.949329 | − | 0.314283i | \(-0.101764\pi\) |
−0.997337 | + | 0.0729330i | \(0.976764\pi\) | |||||||
\(492\) | −14.4235 | + | 7.99594i | −0.650262 | + | 0.360485i | ||||
\(493\) | 9.02650 | + | 13.5091i | 0.406533 | + | 0.608420i | ||||
\(494\) | 2.23291 | + | 14.2977i | 0.100463 | + | 0.643285i | ||||
\(495\) | 0.232464 | + | 0.232464i | 0.0104485 | + | 0.0104485i | ||||
\(496\) | 20.3035 | − | 14.4851i | 0.911654 | − | 0.650402i | ||||
\(497\) | −0.295579 | + | 0.295579i | −0.0132585 | + | 0.0132585i | ||||
\(498\) | 15.3307 | + | 11.1891i | 0.686986 | + | 0.501394i | ||||
\(499\) | −24.1511 | + | 16.1372i | −1.08115 | + | 0.722402i | −0.962704 | − | 0.270558i | \(-0.912792\pi\) |
−0.118448 | + | 0.992960i | \(0.537792\pi\) | |||||||
\(500\) | 1.57409 | + | 1.25197i | 0.0703953 | + | 0.0559897i | ||||
\(501\) | 18.9845 | − | 3.77625i | 0.848166 | − | 0.168711i | ||||
\(502\) | −0.708710 | + | 17.0969i | −0.0316313 | + | 0.763073i | ||||
\(503\) | −12.7801 | − | 5.29369i | −0.569836 | − | 0.236034i | 0.0791128 | − | 0.996866i | \(-0.474791\pi\) |
−0.648949 | + | 0.760832i | \(0.724791\pi\) | |||||||
\(504\) | 13.6452 | − | 0.985023i | 0.607806 | − | 0.0438764i | ||||
\(505\) | −1.63535 | + | 0.677382i | −0.0727719 | + | 0.0301431i | ||||
\(506\) | 11.5869 | − | 4.24625i | 0.515102 | − | 0.188769i | ||||
\(507\) | −0.492061 | − | 0.328785i | −0.0218532 | − | 0.0146018i | ||||
\(508\) | 6.49826 | − | 12.6186i | 0.288314 | − | 0.559858i | ||||
\(509\) | 4.16400 | − | 20.9339i | 0.184566 | − | 0.927877i | −0.771835 | − | 0.635822i | \(-0.780661\pi\) |
0.956402 | − | 0.292055i | \(-0.0943389\pi\) | |||||||
\(510\) | 0.425779 | + | 0.698187i | 0.0188538 | + | 0.0309163i | ||||
\(511\) | −20.0548 | −0.887174 | ||||||||
\(512\) | 22.1007 | − | 4.85379i | 0.976722 | − | 0.214509i | ||||
\(513\) | 2.90489 | 0.128254 | ||||||||
\(514\) | 13.4846 | + | 22.1119i | 0.594780 | + | 0.975312i | ||||
\(515\) | −0.222849 | + | 1.12034i | −0.00981989 | + | 0.0493679i | ||||
\(516\) | 1.73709 | − | 3.37314i | 0.0764710 | − | 0.148494i | ||||
\(517\) | 26.9652 | + | 18.0176i | 1.18593 | + | 0.792412i | ||||
\(518\) | −44.1520 | + | 16.1803i | −1.93993 | + | 0.710923i | ||||
\(519\) | −4.54710 | + | 1.88347i | −0.199596 | + | 0.0826752i | ||||
\(520\) | −1.00034 | + | 0.0722131i | −0.0438680 | + | 0.00316675i | ||||
\(521\) | 3.44046 | + | 1.42508i | 0.150729 | + | 0.0624341i | 0.456773 | − | 0.889583i | \(-0.349005\pi\) |
−0.306043 | + | 0.952018i | \(0.599005\pi\) | |||||||
\(522\) | −0.165666 | + | 3.99653i | −0.00725102 | + | 0.174923i | ||||
\(523\) | −28.5474 | + | 5.67843i | −1.24829 | + | 0.248300i | −0.774634 | − | 0.632410i | \(-0.782066\pi\) |
−0.473656 | + | 0.880710i | \(0.657066\pi\) | |||||||
\(524\) | 31.4023 | + | 24.9762i | 1.37182 | + | 1.09109i | ||||
\(525\) | −20.0678 | + | 13.4089i | −0.875830 | + | 0.585211i | ||||
\(526\) | 2.74317 | + | 2.00209i | 0.119608 | + | 0.0872955i | ||||
\(527\) | −25.3266 | + | 25.3266i | −1.10325 | + | 1.10325i | ||||
\(528\) | −10.6343 | + | 7.58685i | −0.462799 | + | 0.330175i | ||||
\(529\) | 11.2153 | + | 11.2153i | 0.487620 | + | 0.487620i | ||||
\(530\) | 0.106036 | + | 0.678971i | 0.00460592 | + | 0.0294926i | ||||
\(531\) | −1.16528 | − | 1.74396i | −0.0505687 | − | 0.0756814i | ||||
\(532\) | 24.5772 | − | 13.6248i | 1.06556 | − | 0.590711i | ||||
\(533\) | 5.66660 | + | 28.4879i | 0.245448 | + | 1.23395i | ||||
\(534\) | 1.70260 | + | 1.84986i | 0.0736787 | + | 0.0800512i | ||||
\(535\) | 0.121002 | − | 0.292125i | 0.00523138 | − | 0.0126297i | ||||
\(536\) | −4.56272 | + | 36.5222i | −0.197080 | + | 1.57752i | ||||
\(537\) | −2.91976 | − | 7.04893i | −0.125997 | − | 0.304184i | ||||
\(538\) | −31.7204 | − | 14.7064i | −1.36756 | − | 0.634038i | ||||
\(539\) | −29.7475 | + | 44.5202i | −1.28131 | + | 1.91762i | ||||
\(540\) | −0.0166626 | + | 0.200639i | −0.000717046 | + | 0.00863415i | ||||
\(541\) | −18.7309 | − | 3.72580i | −0.805302 | − | 0.160185i | −0.224759 | − | 0.974414i | \(-0.572160\pi\) |
−0.580543 | + | 0.814230i | \(0.697160\pi\) | |||||||
\(542\) | −11.2589 | − | 2.72875i | −0.483612 | − | 0.117210i | ||||
\(543\) | − | 11.3356i | − | 0.486456i | ||||||
\(544\) | −30.1538 | + | 12.1105i | −1.29283 | + | 0.519231i | ||||
\(545\) | − | 0.378900i | − | 0.0162303i | ||||||
\(546\) | 5.67552 | − | 23.4174i | 0.242890 | − | 1.00217i | ||||
\(547\) | 20.6690 | + | 4.11133i | 0.883744 | + | 0.175788i | 0.616041 | − | 0.787714i | \(-0.288735\pi\) |
0.267703 | + | 0.963501i | \(0.413735\pi\) | |||||||
\(548\) | 1.24421 | − | 1.05339i | 0.0531498 | − | 0.0449988i | ||||
\(549\) | 1.11554 | − | 1.66953i | 0.0476102 | − | 0.0712537i | ||||
\(550\) | 9.69360 | − | 20.9082i | 0.413336 | − | 0.891529i | ||||
\(551\) | 3.14421 | + | 7.59079i | 0.133948 | + | 0.323378i | ||||
\(552\) | 6.56972 | + | 3.73532i | 0.279626 | + | 0.158986i | ||||
\(553\) | −25.2170 | + | 60.8792i | −1.07233 | + | 2.58885i | ||||
\(554\) | −17.4393 | + | 16.0511i | −0.740925 | + | 0.681944i | ||||
\(555\) | −0.135005 | − | 0.678716i | −0.00573064 | − | 0.0288099i | ||||
\(556\) | −1.10673 | + | 3.86028i | −0.0469357 | + | 0.163712i | ||||
\(557\) | −6.45678 | − | 9.66325i | −0.273582 | − | 0.409445i | 0.669081 | − | 0.743189i | \(-0.266688\pi\) |
−0.942664 | + | 0.333744i | \(0.891688\pi\) | |||||||
\(558\) | −8.71236 | + | 1.36063i | −0.368823 | + | 0.0576000i | ||||
\(559\) | −4.72524 | − | 4.72524i | −0.199856 | − | 0.199856i | ||||
\(560\) | 0.800084 | + | 1.77569i | 0.0338097 | + | 0.0750365i | ||||
\(561\) | 13.2653 | − | 13.2653i | 0.560060 | − | 0.560060i | ||||
\(562\) | −7.64767 | + | 10.4785i | −0.322597 | + | 0.442007i | ||||
\(563\) | 38.0216 | − | 25.4052i | 1.60242 | − | 1.07070i | 0.652691 | − | 0.757624i | \(-0.273640\pi\) |
0.949727 | − | 0.313078i | \(-0.101360\pi\) | |||||||
\(564\) | 2.24920 | + | 19.7330i | 0.0947084 | + | 0.830909i | ||||
\(565\) | −0.302844 | + | 0.0602394i | −0.0127407 | + | 0.00253429i | ||||
\(566\) | −35.7487 | − | 1.48187i | −1.50263 | − | 0.0622877i | ||||
\(567\) | −4.46868 | − | 1.85099i | −0.187667 | − | 0.0777342i | ||||
\(568\) | 0.218510 | − | 0.109560i | 0.00916849 | − | 0.00459703i | ||||
\(569\) | −21.0187 | + | 8.70622i | −0.881149 | + | 0.364984i | −0.776942 | − | 0.629572i | \(-0.783230\pi\) |
−0.104207 | + | 0.994556i | \(0.533230\pi\) | |||||||
\(570\) | 0.142297 | + | 0.388294i | 0.00596018 | + | 0.0162638i | ||||
\(571\) | 26.7826 | + | 17.8956i | 1.12082 | + | 0.748907i | 0.970827 | − | 0.239780i | \(-0.0770753\pi\) |
0.149992 | + | 0.988687i | \(0.452075\pi\) | |||||||
\(572\) | 7.01527 | + | 21.9123i | 0.293323 | + | 0.916198i | ||||
\(573\) | −3.09779 | + | 15.5736i | −0.129412 | + | 0.650597i | ||||
\(574\) | 48.1561 | − | 29.3673i | 2.00999 | − | 1.22577i | ||||
\(575\) | −13.3326 | −0.556007 | ||||||||
\(576\) | −7.75412 | − | 1.96817i | −0.323088 | − | 0.0820069i | ||||
\(577\) | 29.7363 | 1.23794 | 0.618969 | − | 0.785416i | \(-0.287551\pi\) | ||||
0.618969 | + | 0.785416i | \(0.287551\pi\) | |||||||
\(578\) | 19.3153 | − | 11.7791i | 0.803409 | − | 0.489947i | ||||
\(579\) | −1.36542 | + | 6.86443i | −0.0567449 | + | 0.285276i | ||||
\(580\) | −0.542327 | + | 0.173627i | −0.0225189 | + | 0.00720949i | ||||
\(581\) | −53.9738 | − | 36.0642i | −2.23921 | − | 1.49619i | ||||
\(582\) | 8.29224 | + | 22.6274i | 0.343724 | + | 0.937936i | ||||
\(583\) | 14.5645 | − | 6.03283i | 0.603202 | − | 0.249854i | ||||
\(584\) | 11.1297 | + | 3.69611i | 0.460549 | + | 0.152946i | ||||
\(585\) | 0.327604 | + | 0.135698i | 0.0135447 | + | 0.00561042i | ||||
\(586\) | −10.0475 | − | 0.416495i | −0.415059 | − | 0.0172052i | ||||
\(587\) | −18.6112 | + | 3.70200i | −0.768167 | + | 0.152798i | −0.563593 | − | 0.826053i | \(-0.690581\pi\) |
−0.204575 | + | 0.978851i | \(0.565581\pi\) | |||||||
\(588\) | −32.5796 | + | 3.71348i | −1.34356 | + | 0.153141i | ||||
\(589\) | −15.0602 | + | 10.0629i | −0.620543 | + | 0.414634i | ||||
\(590\) | 0.176031 | − | 0.241190i | 0.00724710 | − | 0.00992963i | ||||
\(591\) | −12.6915 | + | 12.6915i | −0.522059 | + | 0.522059i | ||||
\(592\) | 27.4847 | − | 0.842241i | 1.12962 | − | 0.0346159i | ||||
\(593\) | 7.69601 | + | 7.69601i | 0.316037 | + | 0.316037i | 0.847243 | − | 0.531206i | \(-0.178261\pi\) |
−0.531206 | + | 0.847243i | \(0.678261\pi\) | |||||||
\(594\) | 4.56325 | − | 0.712653i | 0.187232 | − | 0.0292405i | ||||
\(595\) | −1.55389 | − | 2.32557i | −0.0637034 | − | 0.0953389i | ||||
\(596\) | −19.2908 | − | 5.53060i | −0.790183 | − | 0.226542i | ||||
\(597\) | 3.01091 | + | 15.1369i | 0.123228 | + | 0.619511i | ||||
\(598\) | 9.79370 | − | 9.01407i | 0.400494 | − | 0.368613i | ||||
\(599\) | 3.12125 | − | 7.53537i | 0.127531 | − | 0.307887i | −0.847198 | − | 0.531277i | \(-0.821712\pi\) |
0.974729 | + | 0.223390i | \(0.0717124\pi\) | |||||||
\(600\) | 13.6081 | − | 3.74291i | 0.555549 | − | 0.152804i | ||||
\(601\) | 10.0716 | + | 24.3150i | 0.410829 | + | 0.991828i | 0.984916 | + | 0.173034i | \(0.0553571\pi\) |
−0.574087 | + | 0.818794i | \(0.694643\pi\) | |||||||
\(602\) | −5.45824 | + | 11.7729i | −0.222461 | + | 0.479828i | ||||
\(603\) | 7.22959 | − | 10.8198i | 0.294411 | − | 0.440618i | ||||
\(604\) | −3.11607 | − | 3.68051i | −0.126791 | − | 0.149758i | ||||
\(605\) | −0.0330196 | − | 0.00656800i | −0.00134244 | − | 0.000267027i | ||||
\(606\) | −5.85737 | + | 24.1677i | −0.237939 | + | 0.981746i | ||||
\(607\) | 11.8347i | 0.480354i | 0.970729 | + | 0.240177i | \(0.0772055\pi\) | ||||
−0.970729 | + | 0.240177i | \(0.922795\pi\) | |||||||
\(608\) | −16.1505 | + | 3.03168i | −0.654988 | + | 0.122951i | ||||
\(609\) | − | 13.6806i | − | 0.554366i | ||||||
\(610\) | 0.277809 | + | 0.0673307i | 0.0112482 | + | 0.00272614i | ||||
\(611\) | 34.3079 | + | 6.82427i | 1.38795 | + | 0.276080i | ||||
\(612\) | 11.4492 | + | 0.950833i | 0.462808 | + | 0.0384352i | ||||
\(613\) | 14.8410 | − | 22.2111i | 0.599421 | − | 0.897096i | −0.400394 | − | 0.916343i | \(-0.631127\pi\) |
0.999815 | + | 0.0192468i | \(0.00612682\pi\) | |||||||
\(614\) | 2.79969 | + | 1.29801i | 0.112986 | + | 0.0523835i | ||||
\(615\) | 0.317652 | + | 0.766879i | 0.0128090 | + | 0.0309236i | ||||
\(616\) | 35.2654 | − | 27.4325i | 1.42088 | − | 1.10529i | ||||
\(617\) | 6.21644 | − | 15.0078i | 0.250264 | − | 0.604191i | −0.747961 | − | 0.663743i | \(-0.768967\pi\) |
0.998225 | + | 0.0595513i | \(0.0189670\pi\) | |||||||
\(618\) | 10.8677 | + | 11.8076i | 0.437162 | + | 0.474972i | ||||
\(619\) | 0.215116 | + | 1.08146i | 0.00864623 | + | 0.0434675i | 0.984868 | − | 0.173309i | \(-0.0554458\pi\) |
−0.976221 | + | 0.216776i | \(0.930446\pi\) | |||||||
\(620\) | −0.608652 | − | 1.09792i | −0.0244441 | − | 0.0440935i | ||||
\(621\) | −1.48445 | − | 2.22163i | −0.0595688 | − | 0.0891510i | ||||
\(622\) | −0.517438 | − | 3.31325i | −0.0207474 | − | 0.132849i | ||||
\(623\) | −6.08025 | − | 6.08025i | −0.243600 | − | 0.243600i | ||||
\(624\) | −7.46553 | + | 11.9498i | −0.298860 | + | 0.478374i | ||||
\(625\) | −17.5703 | + | 17.5703i | −0.702810 | + | 0.702810i | ||||
\(626\) | −7.44521 | − | 5.43385i | −0.297570 | − | 0.217181i | ||||
\(627\) | 7.88803 | − | 5.27061i | 0.315017 | − | 0.210488i | ||||
\(628\) | 7.49347 | − | 9.42147i | 0.299022 | − | 0.375957i | ||||
\(629\) | −38.7301 | + | 7.70389i | −1.54427 | + | 0.307174i | ||||
\(630\) | 0.0285191 | − | 0.687995i | 0.00113623 | − | 0.0274104i | ||||
\(631\) | 17.8602 | + | 7.39795i | 0.711004 | + | 0.294508i | 0.708720 | − | 0.705490i | \(-0.249273\pi\) |
0.00228425 | + | 0.999997i | \(0.499273\pi\) | |||||||
\(632\) | 25.2145 | − | 29.1381i | 1.00298 | − | 1.15905i | ||||
\(633\) | 3.61060 | − | 1.49556i | 0.143508 | − | 0.0594431i | ||||
\(634\) | −32.9682 | + | 12.0818i | −1.30934 | + | 0.479831i | ||||
\(635\) | −0.593998 | − | 0.396897i | −0.0235721 | − | 0.0157504i | ||||
\(636\) | 8.58302 | + | 4.42005i | 0.340339 | + | 0.175266i | ||||
\(637\) | −11.2670 | + | 56.6431i | −0.446416 | + | 2.24428i | ||||
\(638\) | 6.80142 | + | 11.1529i | 0.269271 | + | 0.441547i | ||||
\(639\) | −0.0864220 | −0.00341880 | ||||||||
\(640\) | −0.116756 | − | 1.13289i | −0.00461520 | − | 0.0447816i | ||||
\(641\) | −24.3643 | −0.962334 | −0.481167 | − | 0.876629i | \(-0.659787\pi\) | ||||
−0.481167 | + | 0.876629i | \(0.659787\pi\) | |||||||
\(642\) | −2.31282 | − | 3.79253i | −0.0912796 | − | 0.149679i | ||||
\(643\) | −0.754239 | + | 3.79182i | −0.0297443 | + | 0.149535i | −0.992803 | − | 0.119755i | \(-0.961789\pi\) |
0.963059 | + | 0.269290i | \(0.0867890\pi\) | |||||||
\(644\) | −22.9795 | − | 11.8339i | −0.905518 | − | 0.466320i | ||||
\(645\) | −0.158785 | − | 0.106097i | −0.00625215 | − | 0.00417755i | ||||
\(646\) | 22.1575 | − | 8.12003i | 0.871775 | − | 0.319478i | ||||
\(647\) | 17.4890 | − | 7.24418i | 0.687563 | − | 0.284798i | −0.0114215 | − | 0.999935i | \(-0.503636\pi\) |
0.698984 | + | 0.715137i | \(0.253636\pi\) | |||||||
\(648\) | 2.13881 | + | 1.85081i | 0.0840204 | + | 0.0727066i | ||||
\(649\) | −6.32845 | − | 2.62133i | −0.248413 | − | 0.102896i | ||||
\(650\) | 1.02952 | − | 24.8362i | 0.0403812 | − | 0.974157i | ||||
\(651\) | 29.5795 | − | 5.88374i | 1.15931 | − | 0.230602i | ||||
\(652\) | 14.8424 | − | 18.6612i | 0.581273 | − | 0.730829i | ||||
\(653\) | −19.7372 | + | 13.1880i | −0.772377 | + | 0.516086i | −0.878197 | − | 0.478299i | \(-0.841253\pi\) |
0.105820 | + | 0.994385i | \(0.466253\pi\) | |||||||
\(654\) | −4.29967 | − | 3.13810i | −0.168130 | − | 0.122709i | ||||
\(655\) | 1.42802 | − | 1.42802i | 0.0557975 | − | 0.0557975i | ||||
\(656\) | −32.1372 | + | 7.42253i | −1.25475 | + | 0.289801i | ||||
\(657\) | −2.93184 | − | 2.93184i | −0.114382 | − | 0.114382i | ||||
\(658\) | −10.4813 | − | 67.1139i | −0.408604 | − | 2.61637i | ||||
\(659\) | 7.54177 | + | 11.2871i | 0.293786 | + | 0.439681i | 0.948773 | − | 0.315959i | \(-0.102326\pi\) |
−0.654987 | + | 0.755640i | \(0.727326\pi\) | |||||||
\(660\) | 0.318792 | + | 0.575054i | 0.0124090 | + | 0.0223840i | ||||
\(661\) | 0.0444817 | + | 0.223624i | 0.00173014 | + | 0.00869798i | 0.981641 | − | 0.190739i | \(-0.0610885\pi\) |
−0.979911 | + | 0.199437i | \(0.936089\pi\) | |||||||
\(662\) | 29.3742 | + | 31.9148i | 1.14166 | + | 1.24040i | ||||
\(663\) | 7.74343 | − | 18.6943i | 0.300730 | − | 0.726026i | ||||
\(664\) | 23.3068 | + | 29.9616i | 0.904479 | + | 1.16274i | ||||
\(665\) | −0.541269 | − | 1.30674i | −0.0209895 | − | 0.0506731i | ||||
\(666\) | −8.82005 | − | 4.08921i | −0.341770 | − | 0.158454i | ||||
\(667\) | 4.19861 | − | 6.28367i | 0.162571 | − | 0.243305i | ||||
\(668\) | 38.5801 | + | 3.20399i | 1.49271 | + | 0.123966i | ||||
\(669\) | −4.58452 | − | 0.911918i | −0.177248 | − | 0.0352568i | ||||
\(670\) | 1.80042 | + | 0.436355i | 0.0695563 | + | 0.0168579i | ||||
\(671\) | − | 6.55751i | − | 0.253150i | ||||||
\(672\) | 26.7765 | + | 5.62731i | 1.03293 | + | 0.217078i | ||||
\(673\) | 40.3982i | 1.55723i | 0.627499 | + | 0.778617i | \(0.284079\pi\) | ||||
−0.627499 | + | 0.778617i | \(0.715921\pi\) | |||||||
\(674\) | −2.37042 | + | 9.78045i | −0.0913053 | + | 0.376729i | ||||
\(675\) | −4.89399 | − | 0.973475i | −0.188370 | − | 0.0374691i | ||||
\(676\) | −0.764789 | − | 0.903322i | −0.0294150 | − | 0.0347432i | ||||
\(677\) | 17.7152 | − | 26.5127i | 0.680852 | − | 1.01897i | −0.316665 | − | 0.948538i | \(-0.602563\pi\) |
0.997517 | − | 0.0704296i | \(-0.0224370\pi\) | |||||||
\(678\) | −1.82461 | + | 3.93552i | −0.0700738 | + | 0.151143i | ||||
\(679\) | −31.5419 | − | 76.1488i | −1.21047 | − | 2.92232i | ||||
\(680\) | 0.433749 | + | 1.57698i | 0.0166335 | + | 0.0604745i | ||||
\(681\) | −4.13514 | + | 9.98311i | −0.158459 | + | 0.382553i | ||||
\(682\) | −21.1891 | + | 19.5023i | −0.811371 | + | 0.746782i | ||||
\(683\) | 8.00735 | + | 40.2557i | 0.306393 | + | 1.54034i | 0.760467 | + | 0.649377i | \(0.224970\pi\) |
−0.454074 | + | 0.890964i | \(0.650030\pi\) | |||||||
\(684\) | 5.58480 | + | 1.60114i | 0.213540 | + | 0.0612211i | ||||
\(685\) | −0.0455869 | − | 0.0682256i | −0.00174178 | − | 0.00260677i | ||||
\(686\) | 63.4975 | − | 9.91654i | 2.42435 | − | 0.378615i | ||||
\(687\) | −6.68314 | − | 6.68314i | −0.254978 | − | 0.254978i | ||||
\(688\) | 5.19887 | − | 5.52757i | 0.198205 | − | 0.210737i | ||||
\(689\) | 12.0235 | − | 12.0235i | 0.458057 | − | 0.458057i | ||||
\(690\) | 0.224246 | − | 0.307252i | 0.00853692 | − | 0.0116969i | ||||
\(691\) | −2.99968 | + | 2.00432i | −0.114113 | + | 0.0762479i | −0.611317 | − | 0.791386i | \(-0.709360\pi\) |
0.497204 | + | 0.867634i | \(0.334360\pi\) | |||||||
\(692\) | −9.78017 | + | 1.11476i | −0.371786 | + | 0.0423769i | ||||
\(693\) | −15.4928 | + | 3.08171i | −0.588523 | + | 0.117064i | ||||
\(694\) | −10.0320 | − | 0.415853i | −0.380811 | − | 0.0157856i | ||||
\(695\) | 0.186739 | + | 0.0773500i | 0.00708343 | + | 0.00293405i | ||||
\(696\) | −2.52134 | + | 7.59222i | −0.0955711 | + | 0.287782i | ||||
\(697\) | 43.7610 | − | 18.1264i | 1.65757 | − | 0.686586i | ||||
\(698\) | −12.0158 | − | 32.7881i | −0.454805 | − | 1.24105i | ||||
\(699\) | −24.7239 | − | 16.5200i | −0.935144 | − | 0.624843i | ||||
\(700\) | −45.9721 | + | 14.7181i | −1.73758 | + | 0.556292i | ||||
\(701\) | −9.13552 | + | 45.9273i | −0.345044 | + | 1.73465i | 0.285392 | + | 0.958411i | \(0.407876\pi\) |
−0.630436 | + | 0.776241i | \(0.717124\pi\) | |||||||
\(702\) | 4.25313 | − | 2.59371i | 0.160524 | − | 0.0978931i | ||||
\(703\) | −19.9694 | −0.753161 | ||||||||
\(704\) | −24.6268 | + | 8.72458i | −0.928156 | + | 0.328820i | ||||
\(705\) | 0.999642 | 0.0376487 | ||||||||
\(706\) | −17.9208 | + | 10.9287i | −0.674456 | + | 0.411307i | ||||
\(707\) | 16.5926 | − | 83.4168i | 0.624030 | − | 3.13721i | ||||
\(708\) | −1.27905 | − | 3.99513i | −0.0480698 | − | 0.150146i | ||||
\(709\) | 4.45899 | + | 2.97940i | 0.167461 | + | 0.111894i | 0.636477 | − | 0.771296i | \(-0.280391\pi\) |
−0.469016 | + | 0.883190i | \(0.655391\pi\) | |||||||
\(710\) | −0.00423342 | − | 0.0115519i | −0.000158877 | − | 0.000433536i | ||||
\(711\) | −12.5865 | + | 5.21349i | −0.472030 | + | 0.195521i | ||||
\(712\) | 2.25371 | + | 4.49490i | 0.0844615 | + | 0.168453i | ||||
\(713\) | 15.3920 | + | 6.37556i | 0.576434 | + | 0.238767i | ||||
\(714\) | −39.2596 | − | 1.62741i | −1.46925 | − | 0.0609042i | ||||
\(715\) | 1.13579 | − | 0.225923i | 0.0424762 | − | 0.00844905i | ||||
\(716\) | −1.72810 | − | 15.1612i | −0.0645823 | − | 0.566602i | ||||
\(717\) | −17.1518 | + | 11.4605i | −0.640545 | + | 0.427999i | ||||
\(718\) | 16.8616 | − | 23.1030i | 0.629270 | − | 0.862196i | ||||
\(719\) | 13.3298 | − | 13.3298i | 0.497118 | − | 0.497118i | −0.413421 | − | 0.910540i | \(-0.635666\pi\) |
0.910540 | + | 0.413421i | \(0.135666\pi\) | |||||||
\(720\) | −0.142625 | + | 0.376555i | −0.00531531 | + | 0.0140334i | ||||
\(721\) | −38.8101 | − | 38.8101i | −1.44536 | − | 1.44536i | ||||
\(722\) | −14.7575 | + | 2.30471i | −0.549216 | + | 0.0857723i | ||||
\(723\) | 7.02195 | + | 10.5091i | 0.261149 | + | 0.390837i | ||||
\(724\) | 6.24802 | − | 21.7932i | 0.232206 | − | 0.809937i | ||||
\(725\) | −2.75338 | − | 13.8422i | −0.102258 | − | 0.514085i | ||||
\(726\) | −0.348005 | + | 0.320302i | −0.0129157 | + | 0.0118875i | ||||
\(727\) | −1.74275 | + | 4.20737i | −0.0646351 | + | 0.156043i | −0.952897 | − | 0.303295i | \(-0.901913\pi\) |
0.888262 | + | 0.459338i | \(0.151913\pi\) | |||||||
\(728\) | 23.8188 | − | 41.8928i | 0.882785 | − | 1.55265i | ||||
\(729\) | −0.382683 | − | 0.923880i | −0.0141735 | − | 0.0342178i | ||||
\(730\) | 0.248278 | − | 0.535513i | 0.00918918 | − | 0.0198202i | ||||
\(731\) | −6.05428 | + | 9.06087i | −0.223926 | + | 0.335128i | ||||
\(732\) | 3.06491 | − | 2.59488i | 0.113282 | − | 0.0959094i | ||||
\(733\) | −11.6301 | − | 2.31336i | −0.429566 | − | 0.0854459i | −0.0244280 | − | 0.999702i | \(-0.507776\pi\) |
−0.405138 | + | 0.914256i | \(0.632776\pi\) | |||||||
\(734\) | −8.92785 | + | 36.8367i | −0.329533 | + | 1.35967i | ||||
\(735\) | 1.65043i | 0.0608771i | ||||||||
\(736\) | 10.5717 | + | 10.8025i | 0.389680 | + | 0.398184i | ||||
\(737\) | − | 42.4978i | − | 1.56543i | ||||||
\(738\) | 11.3332 | + | 2.74675i | 0.417181 | + | 0.101109i | ||||
\(739\) | 6.25428 | + | 1.24405i | 0.230068 | + | 0.0457633i | 0.308778 | − | 0.951134i | \(-0.400080\pi\) |
−0.0787100 | + | 0.996898i | \(0.525080\pi\) | |||||||
\(740\) | 0.114546 | − | 1.37928i | 0.00421079 | − | 0.0507033i | ||||
\(741\) | 5.68491 | − | 8.50807i | 0.208840 | − | 0.312552i | ||||
\(742\) | −29.9564 | − | 13.8886i | −1.09973 | − | 0.509866i | ||||
\(743\) | 10.1105 | + | 24.4088i | 0.370917 | + | 0.895474i | 0.993595 | + | 0.112996i | \(0.0360446\pi\) |
−0.622678 | + | 0.782478i | \(0.713955\pi\) | |||||||
\(744\) | −17.4999 | − | 2.18627i | −0.641577 | − | 0.0801524i | ||||
\(745\) | −0.386538 | + | 0.933184i | −0.0141616 | + | 0.0341892i | ||||
\(746\) | −26.6470 | − | 28.9517i | −0.975616 | − | 1.06000i | ||||
\(747\) | −2.61823 | − | 13.1628i | −0.0957962 | − | 0.481600i | ||||
\(748\) | 32.8148 | − | 18.1915i | 1.19983 | − | 0.665146i | ||||
\(749\) | 8.44069 | + | 12.6324i | 0.308416 | + | 0.461577i | ||||
\(750\) | −0.219444 | − | 1.40514i | −0.00801298 | − | 0.0513086i | ||||
\(751\) | 12.4442 | + | 12.4442i | 0.454096 | + | 0.454096i | 0.896711 | − | 0.442616i | \(-0.145949\pi\) |
−0.442616 | + | 0.896711i | \(0.645949\pi\) | |||||||
\(752\) | −6.55237 | + | 39.1773i | −0.238940 | + | 1.42865i | ||||
\(753\) | 8.55580 | − | 8.55580i | 0.311791 | − | 0.311791i | ||||
\(754\) | 11.3811 | + | 8.30648i | 0.414476 | + | 0.302504i | ||||
\(755\) | −0.201819 | + | 0.134851i | −0.00734496 | + | 0.00490775i | ||||
\(756\) | −7.57102 | − | 6.02170i | −0.275355 | − | 0.219007i | ||||
\(757\) | 36.4421 | − | 7.24878i | 1.32451 | − | 0.263462i | 0.518355 | − | 0.855165i | \(-0.326545\pi\) |
0.806155 | + | 0.591704i | \(0.201545\pi\) | |||||||
\(758\) | 1.66470 | − | 40.1593i | 0.0604647 | − | 1.45865i | ||||
\(759\) | −8.06181 | − | 3.33931i | −0.292625 | − | 0.121209i | ||||
\(760\) | 0.0595513 | + | 0.824946i | 0.00216015 | + | 0.0299239i | ||||
\(761\) | 20.3758 | − | 8.43993i | 0.738622 | − | 0.305947i | 0.0185320 | − | 0.999828i | \(-0.494101\pi\) |
0.720089 | + | 0.693881i | \(0.244101\pi\) | |||||||
\(762\) | −9.42347 | + | 3.45341i | −0.341376 | + | 0.125104i | ||||
\(763\) | 15.1376 | + | 10.1146i | 0.548017 | + | 0.366173i | ||||
\(764\) | −14.5396 | + | 28.2336i | −0.526025 | + | 1.02146i | ||||
\(765\) | 0.112812 | − | 0.567142i | 0.00407871 | − | 0.0205051i | ||||
\(766\) | −8.23230 | − | 13.4992i | −0.297445 | − | 0.487746i | ||||
\(767\) | −7.38830 | −0.266776 | ||||||||
\(768\) | −13.8228 | − | 8.05786i | −0.498789 | − | 0.290763i | ||||
\(769\) | −16.4217 | −0.592182 | −0.296091 | − | 0.955160i | \(-0.595683\pi\) | ||||
−0.296091 | + | 0.955160i | \(0.595683\pi\) | |||||||
\(770\) | −1.17085 | − | 1.91995i | −0.0421945 | − | 0.0691900i | ||||
\(771\) | 3.57279 | − | 17.9616i | 0.128671 | − | 0.646871i | ||||
\(772\) | −6.40867 | + | 12.4446i | −0.230653 | + | 0.447891i | ||||
\(773\) | 17.8638 | + | 11.9362i | 0.642515 | + | 0.429315i | 0.833684 | − | 0.552242i | \(-0.186228\pi\) |
−0.191168 | + | 0.981557i | \(0.561228\pi\) | |||||||
\(774\) | −2.51904 | + | 0.923150i | −0.0905451 | + | 0.0331819i | ||||
\(775\) | 28.7447 | − | 11.9064i | 1.03254 | − | 0.427692i | ||||
\(776\) | 3.47029 | + | 48.0729i | 0.124576 | + | 1.72572i | ||||
\(777\) | 30.7196 | + | 12.7245i | 1.10206 | + | 0.456487i | ||||
\(778\) | 1.42255 | − | 34.3176i | 0.0510009 | − | 1.23035i | ||||
\(779\) | 23.4929 | − | 4.67303i | 0.841721 | − | 0.167429i | ||||
\(780\) | 0.555039 | + | 0.441457i | 0.0198736 | + | 0.0158067i | ||||
\(781\) | −0.234673 | + | 0.156803i | −0.00839725 | + | 0.00561086i | ||||
\(782\) | −17.5329 | − | 12.7963i | −0.626976 | − | 0.457596i | ||||
\(783\) | 1.99998 | − | 1.99998i | 0.0714735 | − | 0.0714735i | ||||
\(784\) | −64.6827 | − | 10.8181i | −2.31010 | − | 0.386361i | ||||
\(785\) | −0.428442 | − | 0.428442i | −0.0152918 | − | 0.0152918i | ||||
\(786\) | −4.37781 | − | 28.0320i | −0.156151 | − | 0.999867i | ||||
\(787\) | −11.4191 | − | 17.0899i | −0.407047 | − | 0.609189i | 0.570146 | − | 0.821544i | \(-0.306887\pi\) |
−0.977193 | + | 0.212355i | \(0.931887\pi\) | |||||||
\(788\) | −31.3954 | + | 17.4046i | −1.11842 | + | 0.620015i | ||||
\(789\) | −0.468489 | − | 2.35525i | −0.0166786 | − | 0.0838492i | ||||
\(790\) | −1.31344 | − | 1.42704i | −0.0467300 | − | 0.0507716i | ||||
\(791\) | 5.67767 | − | 13.7071i | 0.201875 | − | 0.487369i | ||||
\(792\) | 9.16587 | + | 1.14510i | 0.325695 | + | 0.0406892i | ||||
\(793\) | −2.70671 | − | 6.53457i | −0.0961180 | − | 0.232049i | ||||
\(794\) | 1.97168 | + | 0.914126i | 0.0699725 | + | 0.0324411i | ||||
\(795\) | 0.269965 | − | 0.404031i | 0.00957468 | − | 0.0143295i | ||||
\(796\) | −2.55463 | + | 30.7610i | −0.0905464 | + | 1.09029i | ||||
\(797\) | −13.2010 | − | 2.62584i | −0.467603 | − | 0.0930120i | −0.0443353 | − | 0.999017i | \(-0.514117\pi\) |
−0.423268 | + | 0.906005i | \(0.639117\pi\) | |||||||
\(798\) | −19.3114 | − | 4.68038i | −0.683618 | − | 0.165684i | ||||
\(799\) | − | 57.0433i | − | 2.01805i | ||||||
\(800\) | 28.2253 | + | 0.304687i | 0.997915 | + | 0.0107723i | ||||
\(801\) | − | 1.77776i | − | 0.0628139i | ||||||
\(802\) | −6.08323 | + | 25.0996i | −0.214806 | + | 0.886298i | ||||
\(803\) | −13.2807 | − | 2.64170i | −0.468666 | − | 0.0932234i | ||||
\(804\) | 19.8630 | − | 16.8168i | 0.700513 | − | 0.593083i | ||||
\(805\) | −0.722782 | + | 1.08172i | −0.0254747 | + | 0.0381256i | ||||
\(806\) | −13.0651 | + | 28.1802i | −0.460198 | + | 0.992604i | ||||
\(807\) | 9.46111 | + | 22.8411i | 0.333047 | + | 0.804046i | ||||
\(808\) | −24.5820 | + | 43.2351i | −0.864792 | + | 1.52101i | ||||
\(809\) | 9.39251 | − | 22.6755i | 0.330223 | − | 0.797229i | −0.668351 | − | 0.743846i | \(-0.733000\pi\) |
0.998574 | − | 0.0533832i | \(-0.0170005\pi\) | |||||||
\(810\) | 0.104748 | − | 0.0964095i | 0.00368047 | − | 0.00338748i | ||||
\(811\) | 10.9707 | + | 55.1536i | 0.385234 | + | 1.93670i | 0.348291 | + | 0.937387i | \(0.386762\pi\) |
0.0369435 | + | 0.999317i | \(0.488238\pi\) | |||||||
\(812\) | 7.54057 | − | 26.3016i | 0.264622 | − | 0.923006i | ||||
\(813\) | 4.55109 | + | 6.81119i | 0.159614 | + | 0.238879i | ||||
\(814\) | −31.3696 | + | 4.89906i | −1.09951 | + | 0.171712i | ||||
\(815\) | −0.848620 | − | 0.848620i | −0.0297259 | − | 0.0297259i | ||||
\(816\) | 21.4876 | + | 8.13870i | 0.752218 | + | 0.284911i | ||||
\(817\) | −3.89672 | + | 3.89672i | −0.136329 | + | 0.136329i | ||||
\(818\) | 20.0049 | − | 27.4098i | 0.699455 | − | 0.958359i | ||||
\(819\) | −14.1666 | + | 9.46581i | −0.495020 | + | 0.330762i | ||||
\(820\) | 0.188007 | + | 1.64945i | 0.00656549 | + | 0.0576012i | ||||
\(821\) | −11.0602 | + | 2.20001i | −0.386003 | + | 0.0767808i | −0.384277 | − | 0.923218i | \(-0.625549\pi\) |
−0.00172594 | + | 0.999999i | \(0.500549\pi\) | |||||||
\(822\) | −1.15177 | − | 0.0477436i | −0.0401724 | − | 0.00166525i | ||||
\(823\) | 3.09876 | + | 1.28355i | 0.108016 | + | 0.0447417i | 0.436037 | − | 0.899929i | \(-0.356382\pi\) |
−0.328021 | + | 0.944670i | \(0.606382\pi\) | |||||||
\(824\) | 14.3854 | + | 28.6908i | 0.501140 | + | 0.999493i | ||||
\(825\) | −15.0555 | + | 6.23621i | −0.524166 | + | 0.217117i | ||||
\(826\) | 4.93677 | + | 13.4712i | 0.171772 | + | 0.468722i | ||||
\(827\) | −29.6420 | − | 19.8062i | −1.03075 | − | 0.688728i | −0.0794045 | − | 0.996842i | \(-0.525302\pi\) |
−0.951349 | + | 0.308115i | \(0.900302\pi\) | |||||||
\(828\) | −1.62939 | − | 5.08940i | −0.0566251 | − | 0.176869i | ||||
\(829\) | 0.665474 | − | 3.34557i | 0.0231129 | − | 0.116196i | −0.967507 | − | 0.252846i | \(-0.918633\pi\) |
0.990619 | + | 0.136650i | \(0.0436334\pi\) | |||||||
\(830\) | 1.63119 | − | 0.994759i | 0.0566196 | − | 0.0345286i | ||||
\(831\) | 16.7596 | 0.581383 | ||||||||
\(832\) | −20.9394 | + | 18.8591i | −0.725943 | + | 0.653822i | ||||
\(833\) | 94.1799 | 3.26314 | ||||||||
\(834\) | 2.42435 | − | 1.47846i | 0.0839485 | − | 0.0511947i | ||||
\(835\) | 0.380137 | − | 1.91108i | 0.0131552 | − | 0.0661356i | ||||
\(836\) | 18.0702 | − | 5.78523i | 0.624971 | − | 0.200086i | ||||
\(837\) | 5.18441 | + | 3.46411i | 0.179200 | + | 0.119737i | ||||
\(838\) | 18.4644 | + | 50.3847i | 0.637843 | + | 1.74051i | ||||
\(839\) | 6.61512 | − | 2.74007i | 0.228379 | − | 0.0945979i | −0.265559 | − | 0.964094i | \(-0.585557\pi\) |
0.493939 | + | 0.869497i | \(0.335557\pi\) | |||||||
\(840\) | 0.434043 | − | 1.30698i | 0.0149759 | − | 0.0450952i | ||||
\(841\) | −19.4016 | − | 8.03641i | −0.669021 | − | 0.277117i | ||||
\(842\) | 51.2254 | + | 2.12342i | 1.76534 | + | 0.0731779i | ||||
\(843\) | 8.99667 | − | 1.78955i | 0.309862 | − | 0.0616353i | ||||
\(844\) | 7.76588 | − | 0.885169i | 0.267313 | − | 0.0304688i | ||||
\(845\) | −0.0495334 | + | 0.0330971i | −0.00170400 | + | 0.00113858i | ||||
\(846\) | 8.27917 | − | 11.3437i | 0.284644 | − | 0.390005i | ||||
\(847\) | 1.14385 | − | 1.14385i | 0.0393030 | − | 0.0393030i | ||||
\(848\) | 14.0650 | + | 13.2286i | 0.482994 | + | 0.454272i | ||||
\(849\) | 17.8897 | + | 17.8897i | 0.613972 | + | 0.613972i | ||||
\(850\) | −40.0507 | + | 6.25481i | −1.37373 | + | 0.214538i | ||||
\(851\) | 10.2047 | + | 15.2724i | 0.349812 | + | 0.523531i | ||||
\(852\) | −0.166151 | − | 0.0476347i | −0.00569222 | − | 0.00163194i | ||||
\(853\) | 5.01285 | + | 25.2013i | 0.171637 | + | 0.862876i | 0.966614 | + | 0.256237i | \(0.0824827\pi\) |
−0.794977 | + | 0.606639i | \(0.792517\pi\) | |||||||
\(854\) | −10.1060 | + | 9.30149i | −0.345819 | + | 0.318290i | ||||
\(855\) | 0.111905 | − | 0.270162i | 0.00382706 | − | 0.00923935i | ||||
\(856\) | −2.35611 | − | 8.56611i | −0.0805302 | − | 0.292784i | ||||
\(857\) | 9.42339 | + | 22.7501i | 0.321897 | + | 0.777127i | 0.999144 | + | 0.0413718i | \(0.0131728\pi\) |
−0.677247 | + | 0.735756i | \(0.736827\pi\) | |||||||
\(858\) | 6.84306 | − | 14.7599i | 0.233618 | − | 0.503893i | ||||
\(859\) | −10.6389 | + | 15.9223i | −0.362996 | + | 0.543262i | −0.967347 | − | 0.253456i | \(-0.918433\pi\) |
0.604351 | + | 0.796718i | \(0.293433\pi\) | |||||||
\(860\) | −0.246793 | − | 0.291496i | −0.00841556 | − | 0.00993994i | ||||
\(861\) | −39.1175 | − | 7.78095i | −1.33312 | − | 0.265174i | ||||
\(862\) | −0.0117591 | + | 0.0485183i | −0.000400515 | + | 0.00165254i | ||||
\(863\) | 1.15150i | 0.0391976i | 0.999808 | + | 0.0195988i | \(0.00623890\pi\) | ||||
−0.999808 | + | 0.0195988i | \(0.993761\pi\) | |||||||
\(864\) | 3.09183 | + | 4.73715i | 0.105186 | + | 0.161161i | ||||
\(865\) | 0.495448i | 0.0168457i | ||||||||
\(866\) | −12.2997 | − | 2.98101i | −0.417962 | − | 0.101299i | ||||
\(867\) | −15.6899 | − | 3.12092i | −0.532858 | − | 0.105992i | ||||
\(868\) | 60.1111 | + | 4.99209i | 2.04030 | + | 0.169443i | ||||
\(869\) | −24.7184 | + | 36.9937i | −0.838514 | + | 1.25492i | ||||
\(870\) | 0.365305 | + | 0.169365i | 0.0123850 | + | 0.00574202i | ||||
\(871\) | −17.5416 | − | 42.3491i | −0.594374 | − | 1.43494i | ||||
\(872\) | −6.53665 | − | 8.40307i | −0.221359 | − | 0.284564i | ||||
\(873\) | 6.52114 | − | 15.7434i | 0.220707 | − | 0.532834i | ||||
\(874\) | −7.43355 | − | 8.07648i | −0.251444 | − | 0.273191i | ||||
\(875\) | 0.948939 | + | 4.77064i | 0.0320800 | + | 0.161277i | ||||
\(876\) | −4.02061 | − | 7.25260i | −0.135844 | − | 0.245043i | ||||
\(877\) | −15.4695 | − | 23.1518i | −0.522368 | − | 0.781779i | 0.472674 | − | 0.881238i | \(-0.343289\pi\) |
−0.995042 | + | 0.0994584i | \(0.968289\pi\) | |||||||
\(878\) | −4.08460 | − | 26.1545i | −0.137849 | − | 0.882671i | ||||
\(879\) | 5.02807 | + | 5.02807i | 0.169593 | + | 0.169593i | ||||
\(880\) | 0.295931 | + | 1.28128i | 0.00997582 | + | 0.0431921i | ||||
\(881\) | −26.9725 | + | 26.9725i | −0.908728 | + | 0.908728i | −0.996170 | − | 0.0874415i | \(-0.972131\pi\) |
0.0874415 | + | 0.996170i | \(0.472131\pi\) | |||||||
\(882\) | 18.7288 | + | 13.6691i | 0.630630 | + | 0.460263i | ||||
\(883\) | 3.02691 | − | 2.02252i | 0.101864 | − | 0.0680631i | −0.503595 | − | 0.863940i | \(-0.667990\pi\) |
0.605459 | + | 0.795877i | \(0.292990\pi\) | |||||||
\(884\) | 25.1912 | − | 31.6726i | 0.847271 | − | 1.06526i | ||||
\(885\) | −0.207082 | + | 0.0411912i | −0.00696100 | + | 0.00138463i | ||||
\(886\) | 1.18498 | − | 28.5865i | 0.0398103 | − | 0.960384i | ||||
\(887\) | 37.3162 | + | 15.4569i | 1.25296 | + | 0.518992i | 0.907741 | − | 0.419532i | \(-0.137806\pi\) |
0.345216 | + | 0.938523i | \(0.387806\pi\) | |||||||
\(888\) | −14.7031 | − | 12.7232i | −0.493402 | − | 0.426963i | ||||
\(889\) | 31.7131 | − | 13.1360i | 1.06362 | − | 0.440568i | ||||
\(890\) | 0.237630 | − | 0.0870841i | 0.00796539 | − | 0.00291907i | ||||
\(891\) | −2.71543 | − | 1.81439i | −0.0909702 | − | 0.0607844i | ||||
\(892\) | −8.31132 | − | 4.28013i | −0.278284 | − | 0.143309i | ||||
\(893\) | 5.62771 | − | 28.2924i | 0.188324 | − | 0.946769i | ||||
\(894\) | 7.38822 | + | 12.1151i | 0.247099 | + | 0.405190i | ||||
\(895\) | −0.768045 | −0.0256729 | ||||||||
\(896\) | 48.3775 | + | 25.5777i | 1.61618 | + | 0.854490i | ||||
\(897\) | −9.41196 | −0.314256 | ||||||||
\(898\) | 29.7670 | + | 48.8115i | 0.993337 | + | 1.62886i | ||||
\(899\) | −3.44057 | + | 17.2969i | −0.114749 | + | 0.576884i | ||||
\(900\) | −8.87236 | − | 4.56906i | −0.295745 | − | 0.152302i | ||||
\(901\) | −23.0555 | − | 15.4052i | −0.768092 | − | 0.513222i | ||||
\(902\) | 35.7582 | − | 13.1043i | 1.19062 | − | 0.436324i | ||||
\(903\) | 8.47742 | − | 3.51146i | 0.282111 | − | 0.116854i | ||||
\(904\) | −5.67711 | + | 6.56053i | −0.188818 | + | 0.218200i | ||||
\(905\) | −1.05424 | − | 0.436678i | −0.0350440 | − | 0.0145157i | ||||
\(906\) | −0.141231 | + | 3.40706i | −0.00469209 | + | 0.113192i | ||||
\(907\) | 34.7140 | − | 6.90504i | 1.15266 | − | 0.229278i | 0.418475 | − | 0.908228i | \(-0.362565\pi\) |
0.734184 | + | 0.678950i | \(0.237565\pi\) | |||||||
\(908\) | −13.4526 | + | 16.9138i | −0.446439 | + | 0.561303i | ||||
\(909\) | 14.6205 | − | 9.76909i | 0.484931 | − | 0.324020i | ||||
\(910\) | −1.95924 | − | 1.42994i | −0.0649481 | − | 0.0474022i | ||||
\(911\) | −3.15856 | + | 3.15856i | −0.104648 | + | 0.104648i | −0.757492 | − | 0.652844i | \(-0.773576\pi\) |
0.652844 | + | 0.757492i | \(0.273576\pi\) | |||||||
\(912\) | 9.85452 | + | 6.15654i | 0.326316 | + | 0.203863i | ||||
\(913\) | −30.9920 | − | 30.9920i | −1.02569 | − | 1.02569i | ||||
\(914\) | 4.33454 | + | 27.7549i | 0.143374 | + | 0.918050i | ||||
\(915\) | −0.112296 | − | 0.168063i | −0.00371240 | − | 0.00555600i | ||||
\(916\) | −9.16500 | − | 16.5323i | −0.302820 | − | 0.546243i | ||||
\(917\) | 18.9309 | + | 95.1720i | 0.625153 | + | 3.14286i | ||||
\(918\) | −5.50149 | − | 5.97731i | −0.181576 | − | 0.197281i | ||||
\(919\) | −11.8790 | + | 28.6785i | −0.391853 | + | 0.946016i | 0.597684 | + | 0.801732i | \(0.296088\pi\) |
−0.989536 | + | 0.144284i | \(0.953912\pi\) | |||||||
\(920\) | 0.600478 | − | 0.467104i | 0.0197972 | − | 0.0154000i | ||||
\(921\) | −0.835053 | − | 2.01600i | −0.0275159 | − | 0.0664294i | ||||
\(922\) | −1.25908 | − | 0.583743i | −0.0414656 | − | 0.0192246i | ||||
\(923\) | −0.169129 | + | 0.253119i | −0.00556695 | + | 0.00833152i | ||||
\(924\) | −31.4843 | − | 2.61470i | −1.03576 | − | 0.0860172i | ||||
\(925\) | 33.6433 | + | 6.69206i | 1.10618 | + | 0.220034i | ||||
\(926\) | −6.23541 | − | 1.51123i | −0.204908 | − | 0.0496622i | ||||
\(927\) | − | 11.3474i | − | 0.372697i | ||||||
\(928\) | −9.03213 | + | 13.2067i | −0.296494 | + | 0.433530i | ||||
\(929\) | 11.4517i | 0.375717i | 0.982196 | + | 0.187859i | \(0.0601547\pi\) | ||||
−0.982196 | + | 0.187859i | \(0.939845\pi\) | |||||||
\(930\) | −0.209083 | + | 0.862685i | −0.00685611 | + | 0.0282886i | ||||
\(931\) | 46.7114 | + | 9.29148i | 1.53090 | + | 0.304516i | ||||
\(932\) | −38.4273 | − | 45.3880i | −1.25873 | − | 1.48673i | ||||
\(933\) | −1.31738 | + | 1.97160i | −0.0431291 | + | 0.0645472i | ||||
\(934\) | −6.32939 | + | 13.6519i | −0.207104 | + | 0.446704i | ||||
\(935\) | −0.722686 | − | 1.74472i | −0.0236344 | − | 0.0570584i | ||||
\(936\) | 9.60646 | − | 2.64226i | 0.313997 | − | 0.0863649i | ||||
\(937\) | −1.68136 | + | 4.05915i | −0.0549275 | + | 0.132607i | −0.948961 | − | 0.315393i | \(-0.897864\pi\) |
0.894034 | + | 0.448000i | \(0.147864\pi\) | |||||||
\(938\) | −65.4946 | + | 60.2809i | −2.13847 | + | 1.96824i | ||||
\(939\) | 1.27152 | + | 6.39235i | 0.0414944 | + | 0.208607i | ||||
\(940\) | 1.92186 | + | 0.550990i | 0.0626842 | + | 0.0179713i | ||||
\(941\) | 2.64667 | + | 3.96102i | 0.0862790 | + | 0.129126i | 0.872099 | − | 0.489330i | \(-0.162759\pi\) |
−0.785820 | + | 0.618456i | \(0.787759\pi\) | |||||||
\(942\) | −8.41029 | + | 1.31345i | −0.274022 | + | 0.0427946i | ||||
\(943\) | −15.5791 | − | 15.5791i | −0.507326 | − | 0.507326i | ||||
\(944\) | −0.256975 | − | 8.38584i | −0.00836384 | − | 0.272936i | ||||
\(945\) | −0.344293 | + | 0.344293i | −0.0111998 | + | 0.0111998i | ||||
\(946\) | −5.16532 | + | 7.07727i | −0.167939 | + | 0.230102i | ||||
\(947\) | −14.2870 | + | 9.54626i | −0.464265 | + | 0.310212i | −0.765612 | − | 0.643303i | \(-0.777564\pi\) |
0.301347 | + | 0.953515i | \(0.402564\pi\) | |||||||
\(948\) | −27.0717 | + | 3.08568i | −0.879249 | + | 0.100218i | ||||
\(949\) | −14.3246 | + | 2.84935i | −0.464997 | + | 0.0924937i | ||||
\(950\) | −20.4815 | − | 0.849009i | −0.664507 | − | 0.0275455i | ||||
\(951\) | 22.9382 | + | 9.50133i | 0.743823 | + | 0.308102i | ||||
\(952\) | −74.5814 | − | 24.7681i | −2.41720 | − | 0.802740i | ||||
\(953\) | 50.8903 | − | 21.0795i | 1.64850 | − | 0.682831i | 0.651385 | − | 0.758747i | \(-0.274188\pi\) |
0.997114 | + | 0.0759165i | \(0.0241882\pi\) | |||||||
\(954\) | −2.34897 | − | 6.40975i | −0.0760508 | − | 0.207523i | ||||
\(955\) | 1.32905 | + | 0.888042i | 0.0430070 | + | 0.0287364i | ||||
\(956\) | −39.2920 | + | 12.5794i | −1.27079 | + | 0.406848i | ||||
\(957\) | 1.80206 | − | 9.05956i | 0.0582523 | − | 0.292854i | ||||
\(958\) | −12.5404 | + | 7.64760i | −0.405163 | + | 0.247083i | ||||
\(959\) | 3.94263 | 0.127314 | ||||||||
\(960\) | −0.481755 | + | 0.645332i | −0.0155486 | + | 0.0208280i | ||||
\(961\) | −7.87823 | −0.254136 | ||||||||
\(962\) | −29.2377 | + | 17.8302i | −0.942662 | + | 0.574869i | ||||
\(963\) | −0.612789 | + | 3.08070i | −0.0197468 | + | 0.0992740i | ||||
\(964\) | 7.70756 | + | 24.0746i | 0.248244 | + | 0.775392i | ||||
\(965\) | 0.585809 | + | 0.391425i | 0.0188578 | + | 0.0126004i | ||||
\(966\) | 6.28894 | + | 17.1609i | 0.202343 | + | 0.552144i | ||||
\(967\) | −51.1488 | + | 21.1865i | −1.64483 | + | 0.681312i | −0.996773 | − | 0.0802762i | \(-0.974420\pi\) |
−0.648061 | + | 0.761589i | \(0.724420\pi\) | |||||||
\(968\) | −0.845602 | + | 0.423980i | −0.0271787 | + | 0.0136272i | ||||
\(969\) | −15.4165 | − | 6.38571i | −0.495248 | − | 0.205138i | ||||
\(970\) | 2.42384 | + | 0.100474i | 0.0778250 | + | 0.00322604i | ||||
\(971\) | 35.1106 | − | 6.98392i | 1.12675 | − | 0.224125i | 0.403681 | − | 0.914900i | \(-0.367730\pi\) |
0.723070 | + | 0.690775i | \(0.242730\pi\) | |||||||
\(972\) | −0.226497 | − | 1.98713i | −0.00726489 | − | 0.0637373i | ||||
\(973\) | −8.07518 | + | 5.39567i | −0.258879 | + | 0.172977i | ||||
\(974\) | 16.4312 | − | 22.5132i | 0.526489 | − | 0.721370i | ||||
\(975\) | −12.4288 | + | 12.4288i | −0.398039 | + | 0.398039i | ||||
\(976\) | 7.32270 | − | 3.29944i | 0.234394 | − | 0.105612i | ||||
\(977\) | −22.1415 | − | 22.1415i | −0.708369 | − | 0.708369i | 0.257823 | − | 0.966192i | \(-0.416995\pi\) |
−0.966192 | + | 0.257823i | \(0.916995\pi\) | |||||||
\(978\) | −16.6583 | + | 2.60157i | −0.532675 | + | 0.0831890i | ||||
\(979\) | −3.22554 | − | 4.82737i | −0.103089 | − | 0.154283i | ||||
\(980\) | −0.909697 | + | 3.17304i | −0.0290592 | + | 0.101359i | ||||
\(981\) | 0.734313 | + | 3.69164i | 0.0234448 | + | 0.117865i | ||||
\(982\) | −5.67389 | + | 5.22222i | −0.181061 | + | 0.166648i | ||||
\(983\) | 7.17258 | − | 17.3161i | 0.228770 | − | 0.552299i | −0.767258 | − | 0.641338i | \(-0.778380\pi\) |
0.996028 | + | 0.0890389i | \(0.0283795\pi\) | |||||||
\(984\) | 20.2747 | + | 11.5275i | 0.646333 | + | 0.367483i | ||||
\(985\) | 0.691428 | + | 1.66925i | 0.0220307 | + | 0.0531869i | ||||
\(986\) | 9.66462 | − | 20.8457i | 0.307784 | − | 0.663862i | ||||
\(987\) | −26.6851 | + | 39.9371i | −0.849396 | + | 1.27121i | ||||
\(988\) | 15.6191 | − | 13.2237i | 0.496908 | − | 0.420703i | ||||
\(989\) | 4.97146 | + | 0.988884i | 0.158083 | + | 0.0314447i | ||||
\(990\) | 0.109511 | − | 0.451847i | 0.00348049 | − | 0.0143606i | ||||
\(991\) | − | 9.48649i | − | 0.301348i | −0.988583 | − | 0.150674i | \(-0.951856\pi\) | ||
0.988583 | − | 0.150674i | \(-0.0481444\pi\) | |||||||
\(992\) | −32.4393 | − | 13.8489i | −1.02995 | − | 0.439704i | ||||
\(993\) | − | 30.6708i | − | 0.973308i | ||||||
\(994\) | 0.574525 | + | 0.139244i | 0.0182228 | + | 0.00441654i | ||||
\(995\) | 1.52376 | + | 0.303094i | 0.0483063 | + | 0.00960872i | ||||
\(996\) | 2.22146 | − | 26.7492i | 0.0703896 | − | 0.847580i | ||||
\(997\) | −6.23830 | + | 9.33627i | −0.197569 | + | 0.295683i | −0.917005 | − | 0.398876i | \(-0.869400\pi\) |
0.719436 | + | 0.694559i | \(0.244400\pi\) | |||||||
\(998\) | 37.2672 | + | 17.2780i | 1.17967 | + | 0.546927i | ||||
\(999\) | 2.63072 | + | 6.35113i | 0.0832324 | + | 0.200941i |
(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 | 192.2.r.a.61.5 | ✓ | 128 | |
3.2 | odd | 2 | 576.2.bd.b.253.12 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.337.12 | 128 | |||
64.21 | even | 16 | inner | 192.2.r.a.85.5 | yes | 128 | |
64.43 | odd | 16 | 768.2.r.a.433.12 | 128 | |||
192.149 | odd | 16 | 576.2.bd.b.469.12 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.61.5 | ✓ | 128 | 1.1 | even | 1 | trivial | |
192.2.r.a.85.5 | yes | 128 | 64.21 | even | 16 | inner | |
576.2.bd.b.253.12 | 128 | 3.2 | odd | 2 | |||
576.2.bd.b.469.12 | 128 | 192.149 | odd | 16 | |||
768.2.r.a.337.12 | 128 | 4.3 | odd | 2 | |||
768.2.r.a.433.12 | 128 | 64.43 | odd | 16 |