Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(3,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bg (of order \(36\), degree \(12\), 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: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 147.31 | ||
Character | \(\chi\) | \(=\) | 304.147 |
Dual form | 304.2.bg.a.91.31 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14176 | + | 0.834502i | 0.807343 | + | 0.590082i | ||||
\(3\) | −2.74773 | + | 1.92398i | −1.58640 | + | 1.11081i | −0.649972 | + | 0.759958i | \(0.725219\pi\) |
−0.936431 | + | 0.350853i | \(0.885892\pi\) | |||||||
\(4\) | 0.607213 | + | 1.90560i | 0.303606 | + | 0.952798i | ||||
\(5\) | −2.55312 | + | 0.223369i | −1.14179 | + | 0.0998937i | −0.642319 | − | 0.766437i | \(-0.722028\pi\) |
−0.499471 | + | 0.866331i | \(0.666472\pi\) | |||||||
\(6\) | −4.74280 | − | 0.0962697i | −1.93624 | − | 0.0393020i | ||||
\(7\) | 0.422963 | + | 0.732593i | 0.159865 | + | 0.276894i | 0.934820 | − | 0.355122i | \(-0.115561\pi\) |
−0.774955 | + | 0.632017i | \(0.782227\pi\) | |||||||
\(8\) | −0.896935 | + | 2.68244i | −0.317114 | + | 0.948387i | ||||
\(9\) | 2.82226 | − | 7.75408i | 0.940752 | − | 2.58469i | ||||
\(10\) | −3.10144 | − | 1.87555i | −0.980762 | − | 0.593101i | ||||
\(11\) | 2.78517 | − | 0.746283i | 0.839759 | − | 0.225013i | 0.186793 | − | 0.982399i | \(-0.440191\pi\) |
0.652967 | + | 0.757387i | \(0.273524\pi\) | |||||||
\(12\) | −5.33479 | − | 4.06780i | −1.54002 | − | 1.17427i | ||||
\(13\) | −2.72627 | − | 1.90895i | −0.756131 | − | 0.529449i | 0.130767 | − | 0.991413i | \(-0.458256\pi\) |
−0.886898 | + | 0.461964i | \(0.847145\pi\) | |||||||
\(14\) | −0.128430 | + | 1.18941i | −0.0343244 | + | 0.317882i | ||||
\(15\) | 6.58553 | − | 5.52591i | 1.70038 | − | 1.42678i | ||||
\(16\) | −3.26259 | + | 2.31420i | −0.815646 | + | 0.578551i | ||||
\(17\) | −2.19070 | + | 0.797351i | −0.531324 | + | 0.193386i | −0.593729 | − | 0.804665i | \(-0.702345\pi\) |
0.0624057 | + | 0.998051i | \(0.480123\pi\) | |||||||
\(18\) | 9.69313 | − | 6.49809i | 2.28469 | − | 1.53161i | ||||
\(19\) | −2.26747 | + | 3.72271i | −0.520194 | + | 0.854048i | ||||
\(20\) | −1.97594 | − | 4.72958i | −0.441833 | − | 1.05757i | ||||
\(21\) | −2.57168 | − | 1.19920i | −0.561188 | − | 0.261686i | ||||
\(22\) | 3.80276 | + | 1.47215i | 0.810750 | + | 0.313864i | ||||
\(23\) | −1.34593 | + | 1.12937i | −0.280645 | + | 0.235489i | −0.772234 | − | 0.635338i | \(-0.780861\pi\) |
0.491589 | + | 0.870827i | \(0.336416\pi\) | |||||||
\(24\) | −2.69644 | − | 9.09632i | −0.550408 | − | 1.85678i | ||||
\(25\) | 1.54449 | − | 0.272336i | 0.308899 | − | 0.0544672i | ||||
\(26\) | −1.51971 | − | 4.45464i | −0.298039 | − | 0.873626i | ||||
\(27\) | 4.55940 | + | 17.0159i | 0.877457 | + | 3.27471i | ||||
\(28\) | −1.13920 | + | 1.25084i | −0.215288 | + | 0.236386i | ||||
\(29\) | −5.32904 | + | 2.48497i | −0.989578 | + | 0.461448i | −0.848869 | − | 0.528603i | \(-0.822716\pi\) |
−0.140709 | + | 0.990051i | \(0.544938\pi\) | |||||||
\(30\) | 12.1305 | − | 0.813607i | 2.21471 | − | 0.148544i | ||||
\(31\) | 0.770393 | + | 1.33436i | 0.138367 | + | 0.239658i | 0.926878 | − | 0.375362i | \(-0.122481\pi\) |
−0.788512 | + | 0.615020i | \(0.789148\pi\) | |||||||
\(32\) | −5.65628 | − | 0.0803808i | −0.999899 | − | 0.0142095i | ||||
\(33\) | −6.21705 | + | 7.40919i | −1.08225 | + | 1.28978i | ||||
\(34\) | −3.16664 | − | 0.917767i | −0.543074 | − | 0.157396i | ||||
\(35\) | −1.24351 | − | 1.77592i | −0.210192 | − | 0.300186i | ||||
\(36\) | 16.4899 | + | 0.669700i | 2.74831 | + | 0.111617i | ||||
\(37\) | 5.67745 | + | 5.67745i | 0.933367 | + | 0.933367i | 0.997915 | − | 0.0645480i | \(-0.0205605\pi\) |
−0.0645480 | + | 0.997915i | \(0.520561\pi\) | |||||||
\(38\) | −5.69551 | + | 2.35821i | −0.923934 | + | 0.382553i | ||||
\(39\) | 11.1638 | 1.78765 | ||||||||
\(40\) | 1.69081 | − | 7.04895i | 0.267340 | − | 1.11454i | ||||
\(41\) | 0.524850 | − | 2.97657i | 0.0819678 | − | 0.464862i | −0.916002 | − | 0.401174i | \(-0.868602\pi\) |
0.997970 | − | 0.0636888i | \(-0.0202865\pi\) | |||||||
\(42\) | −1.93550 | − | 3.51526i | −0.298655 | − | 0.542417i | ||||
\(43\) | −0.736056 | − | 8.41315i | −0.112247 | − | 1.28299i | −0.818282 | − | 0.574817i | \(-0.805073\pi\) |
0.706035 | − | 0.708177i | \(-0.250482\pi\) | |||||||
\(44\) | 3.11330 | + | 4.85425i | 0.469348 | + | 0.731805i | ||||
\(45\) | −5.47354 | + | 20.4275i | −0.815947 | + | 3.04515i | ||||
\(46\) | −2.47918 | + | 0.166282i | −0.365535 | + | 0.0245169i | ||||
\(47\) | −4.19208 | + | 11.5176i | −0.611478 | + | 1.68002i | 0.115455 | + | 0.993313i | \(0.463167\pi\) |
−0.726933 | + | 0.686709i | \(0.759055\pi\) | |||||||
\(48\) | 4.51222 | − | 12.6360i | 0.651283 | − | 1.82384i | ||||
\(49\) | 3.14220 | − | 5.44246i | 0.448886 | − | 0.777494i | ||||
\(50\) | 1.99070 | + | 0.977942i | 0.281527 | + | 0.138302i | ||||
\(51\) | 4.48537 | − | 6.40578i | 0.628078 | − | 0.896988i | ||||
\(52\) | 1.98227 | − | 6.35431i | 0.274891 | − | 0.881184i | ||||
\(53\) | −10.0930 | − | 0.883022i | −1.38638 | − | 0.121292i | −0.630594 | − | 0.776113i | \(-0.717189\pi\) |
−0.755784 | + | 0.654821i | \(0.772744\pi\) | |||||||
\(54\) | −8.99409 | + | 23.2328i | −1.22394 | + | 3.16159i | ||||
\(55\) | −6.94417 | + | 2.52747i | −0.936352 | + | 0.340804i | ||||
\(56\) | −2.34451 | + | 0.477486i | −0.313299 | + | 0.0638068i | ||||
\(57\) | −0.932016 | − | 14.5916i | −0.123449 | − | 1.93270i | ||||
\(58\) | −8.15818 | − | 1.60986i | −1.07122 | − | 0.211385i | ||||
\(59\) | −0.366210 | + | 0.785339i | −0.0476764 | + | 0.102242i | −0.928703 | − | 0.370824i | \(-0.879075\pi\) |
0.881027 | + | 0.473067i | \(0.156853\pi\) | |||||||
\(60\) | 14.5290 | + | 9.19395i | 1.87568 | + | 1.18693i | ||||
\(61\) | 6.16343 | + | 0.539230i | 0.789147 | + | 0.0690414i | 0.474601 | − | 0.880201i | \(-0.342592\pi\) |
0.314545 | + | 0.949242i | \(0.398148\pi\) | |||||||
\(62\) | −0.233925 | + | 2.16641i | −0.0297085 | + | 0.275134i | ||||
\(63\) | 6.87430 | − | 1.21212i | 0.866081 | − | 0.152713i | ||||
\(64\) | −6.39102 | − | 4.81196i | −0.798877 | − | 0.601494i | ||||
\(65\) | 7.38690 | + | 4.26483i | 0.916232 | + | 0.528987i | ||||
\(66\) | −13.2813 | + | 3.27135i | −1.63482 | + | 0.402675i | ||||
\(67\) | 6.56723 | + | 14.0835i | 0.802315 | + | 1.72057i | 0.686295 | + | 0.727323i | \(0.259236\pi\) |
0.116020 | + | 0.993247i | \(0.462986\pi\) | |||||||
\(68\) | −2.84965 | − | 3.69043i | −0.345571 | − | 0.447531i | ||||
\(69\) | 1.52536 | − | 5.69273i | 0.183632 | − | 0.685324i | ||||
\(70\) | 0.0622214 | − | 3.06539i | 0.00743688 | − | 0.366384i | ||||
\(71\) | −2.02770 | + | 2.41651i | −0.240643 | + | 0.286787i | −0.872826 | − | 0.488032i | \(-0.837715\pi\) |
0.632182 | + | 0.774820i | \(0.282159\pi\) | |||||||
\(72\) | 18.2685 | + | 14.5255i | 2.15297 | + | 1.71184i | ||||
\(73\) | 10.1300 | + | 1.78619i | 1.18562 | + | 0.209058i | 0.731475 | − | 0.681868i | \(-0.238832\pi\) |
0.454150 | + | 0.890925i | \(0.349943\pi\) | |||||||
\(74\) | 1.74442 | + | 11.2201i | 0.202784 | + | 1.30431i | ||||
\(75\) | −3.71988 | + | 3.71988i | −0.429535 | + | 0.429535i | ||||
\(76\) | −8.47081 | − | 2.06041i | −0.971669 | − | 0.236345i | ||||
\(77\) | 1.72474 | + | 1.72474i | 0.196553 | + | 0.196553i | ||||
\(78\) | 12.7464 | + | 9.31625i | 1.44324 | + | 1.05486i | ||||
\(79\) | −0.680733 | + | 3.86063i | −0.0765885 | + | 0.434355i | 0.922268 | + | 0.386550i | \(0.126334\pi\) |
−0.998857 | + | 0.0478043i | \(0.984778\pi\) | |||||||
\(80\) | 7.81285 | − | 6.63720i | 0.873504 | − | 0.742061i | ||||
\(81\) | −26.3027 | − | 22.0706i | −2.92253 | − | 2.45229i | ||||
\(82\) | 3.08321 | − | 2.96053i | 0.340483 | − | 0.326936i | ||||
\(83\) | −1.45004 | − | 0.388536i | −0.159162 | − | 0.0426474i | 0.178358 | − | 0.983966i | \(-0.442921\pi\) |
−0.337520 | + | 0.941318i | \(0.609588\pi\) | |||||||
\(84\) | 0.723623 | − | 5.62876i | 0.0789538 | − | 0.614148i | ||||
\(85\) | 5.41503 | − | 2.52507i | 0.587342 | − | 0.273882i | ||||
\(86\) | 6.18040 | − | 10.2200i | 0.666450 | − | 1.10205i | ||||
\(87\) | 9.86172 | − | 17.0810i | 1.05729 | − | 1.83128i | ||||
\(88\) | −0.496250 | + | 8.14042i | −0.0529004 | + | 0.867772i | ||||
\(89\) | 0.616105 | + | 3.49410i | 0.0653070 | + | 0.370374i | 0.999893 | + | 0.0146368i | \(0.00465920\pi\) |
−0.934586 | + | 0.355738i | \(0.884230\pi\) | |||||||
\(90\) | −23.2962 | + | 18.7556i | −2.45564 | + | 1.97701i | ||||
\(91\) | 0.245376 | − | 2.80466i | 0.0257224 | − | 0.294009i | ||||
\(92\) | −2.96938 | − | 1.87902i | −0.309579 | − | 0.195902i | ||||
\(93\) | −4.68411 | − | 2.18424i | −0.485720 | − | 0.226495i | ||||
\(94\) | −14.3978 | + | 9.65204i | −1.48502 | + | 0.995532i | ||||
\(95\) | 4.95760 | − | 10.0110i | 0.508639 | − | 1.02711i | ||||
\(96\) | 15.6966 | − | 10.6617i | 1.60203 | − | 1.08816i | ||||
\(97\) | 3.36588 | + | 9.24767i | 0.341753 | + | 0.938958i | 0.984886 | + | 0.173204i | \(0.0554120\pi\) |
−0.643133 | + | 0.765754i | \(0.722366\pi\) | |||||||
\(98\) | 8.12937 | − | 3.59178i | 0.821191 | − | 0.362825i | ||||
\(99\) | 2.07371 | − | 23.7026i | 0.208416 | − | 2.38220i | ||||
\(100\) | 1.45680 | + | 2.77781i | 0.145680 | + | 0.277781i | ||||
\(101\) | −3.87174 | − | 2.71102i | −0.385252 | − | 0.269756i | 0.364866 | − | 0.931060i | \(-0.381115\pi\) |
−0.750118 | + | 0.661303i | \(0.770004\pi\) | |||||||
\(102\) | 10.4668 | − | 3.57078i | 1.03637 | − | 0.353560i | ||||
\(103\) | −3.18957 | − | 1.84150i | −0.314277 | − | 0.181448i | 0.334562 | − | 0.942374i | \(-0.391412\pi\) |
−0.648839 | + | 0.760926i | \(0.724745\pi\) | |||||||
\(104\) | 7.56595 | − | 5.60086i | 0.741902 | − | 0.549209i | ||||
\(105\) | 6.83368 | + | 2.48726i | 0.666899 | + | 0.242731i | ||||
\(106\) | −10.7868 | − | 9.43081i | −1.04771 | − | 0.916002i | ||||
\(107\) | −9.26508 | − | 2.48257i | −0.895689 | − | 0.239999i | −0.218525 | − | 0.975831i | \(-0.570125\pi\) |
−0.677164 | + | 0.735832i | \(0.736791\pi\) | |||||||
\(108\) | −29.6569 | + | 19.0206i | −2.85374 | + | 1.83026i | ||||
\(109\) | 13.6732 | − | 1.19625i | 1.30965 | − | 0.114580i | 0.589144 | − | 0.808028i | \(-0.299465\pi\) |
0.720506 | + | 0.693448i | \(0.243909\pi\) | |||||||
\(110\) | −10.0377 | − | 2.90917i | −0.957060 | − | 0.277378i | ||||
\(111\) | −26.5234 | − | 4.67679i | −2.51749 | − | 0.443901i | ||||
\(112\) | −3.07532 | − | 1.41133i | −0.290591 | − | 0.133358i | ||||
\(113\) | − | 0.434198i | − | 0.0408459i | −0.999791 | − | 0.0204230i | \(-0.993499\pi\) | ||
0.999791 | − | 0.0204230i | \(-0.00650128\pi\) | |||||||
\(114\) | 11.1126 | − | 17.4378i | 1.04079 | − | 1.63320i | ||||
\(115\) | 3.18404 | − | 3.18404i | 0.296914 | − | 0.296914i | ||||
\(116\) | −7.97121 | − | 8.64609i | −0.740108 | − | 0.802769i | ||||
\(117\) | −22.4964 | + | 15.7522i | −2.07980 | + | 1.45629i | ||||
\(118\) | −1.07349 | + | 0.591063i | −0.0988227 | + | 0.0544117i | ||||
\(119\) | −1.51072 | − | 1.26764i | −0.138488 | − | 0.116205i | ||||
\(120\) | 8.91617 | + | 22.6217i | 0.813931 | + | 2.06507i | ||||
\(121\) | −2.32606 | + | 1.34295i | −0.211460 | + | 0.122087i | ||||
\(122\) | 6.58714 | + | 5.75907i | 0.596372 | + | 0.521401i | ||||
\(123\) | 4.28472 | + | 9.18862i | 0.386340 | + | 0.828510i | ||||
\(124\) | −2.07496 | + | 2.27830i | −0.186337 | + | 0.204597i | ||||
\(125\) | 8.49528 | − | 2.27630i | 0.759841 | − | 0.203599i | ||||
\(126\) | 8.86029 | + | 4.35267i | 0.789338 | + | 0.387767i | ||||
\(127\) | 1.41118 | + | 8.00321i | 0.125222 | + | 0.710170i | 0.981176 | + | 0.193117i | \(0.0618599\pi\) |
−0.855953 | + | 0.517053i | \(0.827029\pi\) | |||||||
\(128\) | −3.28139 | − | 10.8274i | −0.290037 | − | 0.957015i | ||||
\(129\) | 18.2092 | + | 21.7009i | 1.60323 | + | 1.91066i | ||||
\(130\) | 4.87503 | + | 11.0338i | 0.427568 | + | 0.967726i | ||||
\(131\) | 6.28927 | − | 13.4874i | 0.549496 | − | 1.17840i | −0.413902 | − | 0.910322i | \(-0.635834\pi\) |
0.963398 | − | 0.268076i | \(-0.0863880\pi\) | |||||||
\(132\) | −17.8940 | − | 7.34823i | −1.55747 | − | 0.639581i | ||||
\(133\) | −3.68629 | − | 0.0865683i | −0.319642 | − | 0.00750643i | ||||
\(134\) | −4.25451 | + | 21.5603i | −0.367534 | + | 1.86252i | ||||
\(135\) | −15.4415 | − | 42.4252i | −1.32899 | − | 3.65138i | ||||
\(136\) | −0.173931 | − | 6.59161i | −0.0149145 | − | 0.565226i | ||||
\(137\) | 12.7164 | + | 15.1548i | 1.08643 | + | 1.29476i | 0.952756 | + | 0.303736i | \(0.0982341\pi\) |
0.133677 | + | 0.991025i | \(0.457321\pi\) | |||||||
\(138\) | 6.49218 | − | 5.22679i | 0.552651 | − | 0.444934i | ||||
\(139\) | 3.73281 | − | 5.33100i | 0.316613 | − | 0.452170i | −0.629028 | − | 0.777382i | \(-0.716547\pi\) |
0.945641 | + | 0.325213i | \(0.105436\pi\) | |||||||
\(140\) | 2.62911 | − | 3.44800i | 0.222201 | − | 0.291409i | ||||
\(141\) | −10.6410 | − | 39.7129i | −0.896136 | − | 3.34443i | ||||
\(142\) | −4.33172 | + | 1.06695i | −0.363510 | + | 0.0895366i | ||||
\(143\) | −9.01774 | − | 3.28219i | −0.754101 | − | 0.274470i | ||||
\(144\) | 8.73667 | + | 31.8296i | 0.728056 | + | 2.65247i | ||||
\(145\) | 13.0506 | − | 7.53478i | 1.08379 | − | 0.625729i | ||||
\(146\) | 10.0754 | + | 10.4929i | 0.833845 | + | 0.868397i | ||||
\(147\) | 1.83726 | + | 20.9999i | 0.151534 | + | 1.73205i | ||||
\(148\) | −7.37150 | + | 14.2663i | −0.605934 | + | 1.17269i | ||||
\(149\) | −1.29641 | − | 1.85147i | −0.106206 | − | 0.151678i | 0.762531 | − | 0.646952i | \(-0.223957\pi\) |
−0.868737 | + | 0.495274i | \(0.835068\pi\) | |||||||
\(150\) | −7.35144 | + | 1.14295i | −0.600243 | + | 0.0933212i | ||||
\(151\) | 21.1210i | 1.71881i | 0.511298 | + | 0.859403i | \(0.329165\pi\) | ||||
−0.511298 | + | 0.859403i | \(0.670835\pi\) | |||||||
\(152\) | −7.95218 | − | 9.42140i | −0.645007 | − | 0.764176i | ||||
\(153\) | 19.2372i | 1.55524i | ||||||||
\(154\) | 0.529934 | + | 3.40854i | 0.0427033 | + | 0.274668i | ||||
\(155\) | −2.26496 | − | 3.23470i | −0.181926 | − | 0.259817i | ||||
\(156\) | 6.77883 | + | 21.2738i | 0.542740 | + | 1.70326i | ||||
\(157\) | −0.825133 | − | 9.43131i | −0.0658528 | − | 0.752701i | −0.955295 | − | 0.295653i | \(-0.904463\pi\) |
0.889443 | − | 0.457047i | \(-0.151093\pi\) | |||||||
\(158\) | −3.99894 | + | 3.83982i | −0.318138 | + | 0.305480i | ||||
\(159\) | 29.4317 | − | 16.9924i | 2.33409 | − | 1.34759i | ||||
\(160\) | 14.4591 | − | 1.05822i | 1.14309 | − | 0.0836594i | ||||
\(161\) | −1.39664 | − | 0.508336i | −0.110071 | − | 0.0400625i | ||||
\(162\) | −11.6133 | − | 47.1489i | −0.912429 | − | 3.70437i | ||||
\(163\) | 2.65791 | + | 9.91947i | 0.208184 | + | 0.776953i | 0.988455 | + | 0.151512i | \(0.0484142\pi\) |
−0.780272 | + | 0.625441i | \(0.784919\pi\) | |||||||
\(164\) | 5.99084 | − | 0.807260i | 0.467806 | − | 0.0630364i | ||||
\(165\) | 14.2179 | − | 20.3053i | 1.10686 | − | 1.58076i | ||||
\(166\) | −1.33135 | − | 1.65367i | −0.103333 | − | 0.128350i | ||||
\(167\) | −11.7007 | − | 13.9443i | −0.905424 | − | 1.07904i | −0.996533 | − | 0.0832008i | \(-0.973486\pi\) |
0.0911093 | − | 0.995841i | \(-0.470959\pi\) | |||||||
\(168\) | 5.52341 | − | 5.82280i | 0.426140 | − | 0.449239i | ||||
\(169\) | −0.657823 | − | 1.80735i | −0.0506018 | − | 0.139027i | ||||
\(170\) | 8.28981 | + | 1.63584i | 0.635800 | + | 0.125463i | ||||
\(171\) | 22.4668 | + | 28.0886i | 1.71808 | + | 2.14799i | ||||
\(172\) | 15.5851 | − | 6.51120i | 1.18835 | − | 0.496474i | ||||
\(173\) | −3.85065 | + | 8.25774i | −0.292759 | + | 0.627824i | −0.996587 | − | 0.0825461i | \(-0.973695\pi\) |
0.703828 | + | 0.710371i | \(0.251473\pi\) | |||||||
\(174\) | 25.5138 | − | 11.2727i | 1.93420 | − | 0.854582i | ||||
\(175\) | 0.852775 | + | 1.01630i | 0.0644637 | + | 0.0768249i | ||||
\(176\) | −7.35980 | + | 8.88025i | −0.554765 | + | 0.669374i | ||||
\(177\) | −0.504732 | − | 2.86248i | −0.0379380 | − | 0.215157i | ||||
\(178\) | −2.21240 | + | 4.50356i | −0.165826 | + | 0.337556i | ||||
\(179\) | 9.19171 | − | 2.46291i | 0.687021 | − | 0.184087i | 0.101611 | − | 0.994824i | \(-0.467600\pi\) |
0.585410 | + | 0.810738i | \(0.300934\pi\) | |||||||
\(180\) | −42.2502 | + | 1.97350i | −3.14914 | + | 0.147096i | ||||
\(181\) | −0.108959 | − | 0.233664i | −0.00809889 | − | 0.0173681i | 0.902217 | − | 0.431283i | \(-0.141939\pi\) |
−0.910316 | + | 0.413915i | \(0.864161\pi\) | |||||||
\(182\) | 2.62066 | − | 2.99747i | 0.194256 | − | 0.222188i | ||||
\(183\) | −17.9729 | + | 10.3767i | −1.32860 | + | 0.767065i | ||||
\(184\) | −1.82225 | − | 4.62334i | −0.134338 | − | 0.340837i | ||||
\(185\) | −15.7634 | − | 13.2270i | −1.15895 | − | 0.972472i | ||||
\(186\) | −3.52536 | − | 6.40277i | −0.258492 | − | 0.469474i | ||||
\(187\) | −5.50642 | + | 3.85564i | −0.402670 | + | 0.281952i | ||||
\(188\) | −24.4935 | − | 0.994749i | −1.78637 | − | 0.0725496i | ||||
\(189\) | −10.5373 | + | 10.5373i | −0.766475 | + | 0.766475i | ||||
\(190\) | 14.0146 | − | 7.29300i | 1.01672 | − | 0.529090i | ||||
\(191\) | 20.6770i | 1.49614i | 0.663622 | + | 0.748068i | \(0.269018\pi\) | ||||
−0.663622 | + | 0.748068i | \(0.730982\pi\) | |||||||
\(192\) | 26.8189 | + | 0.925759i | 1.93549 | + | 0.0668109i | ||||
\(193\) | −0.0171284 | − | 0.00302020i | −0.00123293 | − | 0.000217399i | 0.173032 | − | 0.984916i | \(-0.444644\pi\) |
−0.174265 | + | 0.984699i | \(0.555755\pi\) | |||||||
\(194\) | −3.87419 | + | 13.3674i | −0.278151 | + | 0.959724i | ||||
\(195\) | −28.5026 | + | 2.49366i | −2.04112 | + | 0.178575i | ||||
\(196\) | 12.2791 | + | 2.68304i | 0.877079 | + | 0.191646i | ||||
\(197\) | −7.77981 | − | 2.08459i | −0.554289 | − | 0.148521i | −0.0292076 | − | 0.999573i | \(-0.509298\pi\) |
−0.525081 | + | 0.851052i | \(0.675965\pi\) | |||||||
\(198\) | 22.1476 | − | 25.3321i | 1.57396 | − | 1.80027i | ||||
\(199\) | −13.9433 | − | 5.07496i | −0.988417 | − | 0.359754i | −0.203310 | − | 0.979114i | \(-0.565170\pi\) |
−0.785107 | + | 0.619360i | \(0.787392\pi\) | |||||||
\(200\) | −0.654784 | + | 4.38728i | −0.0463002 | + | 0.310228i | ||||
\(201\) | −45.1413 | − | 26.0624i | −3.18402 | − | 1.83830i | ||||
\(202\) | −2.15823 | − | 6.32629i | −0.151852 | − | 0.445116i | ||||
\(203\) | −4.07446 | − | 2.85297i | −0.285971 | − | 0.200239i | ||||
\(204\) | 14.9304 | + | 4.65764i | 1.04534 | + | 0.326100i | ||||
\(205\) | −0.675131 | + | 7.71678i | −0.0471532 | + | 0.538963i | ||||
\(206\) | −2.10497 | − | 4.76424i | −0.146660 | − | 0.331940i | ||||
\(207\) | 4.95865 | + | 13.6238i | 0.344650 | + | 0.946918i | ||||
\(208\) | 13.3124 | − | 0.0810115i | 0.923049 | − | 0.00561714i | ||||
\(209\) | −3.53710 | + | 12.0605i | −0.244666 | + | 0.834245i | ||||
\(210\) | 5.72678 | + | 8.54256i | 0.395185 | + | 0.589493i | ||||
\(211\) | 1.41491 | + | 0.659785i | 0.0974067 | + | 0.0454215i | 0.470711 | − | 0.882287i | \(-0.343997\pi\) |
−0.373304 | + | 0.927709i | \(0.621775\pi\) | |||||||
\(212\) | −4.44591 | − | 19.7693i | −0.305346 | − | 1.35776i | ||||
\(213\) | 0.922233 | − | 10.5412i | 0.0631904 | − | 0.722269i | ||||
\(214\) | −8.50675 | − | 10.5662i | −0.581509 | − | 0.722292i | ||||
\(215\) | 3.75848 | + | 21.3154i | 0.256326 | + | 1.45370i | ||||
\(216\) | −49.7337 | − | 3.03183i | −3.38395 | − | 0.206290i | ||||
\(217\) | −0.651695 | + | 1.12877i | −0.0442399 | + | 0.0766258i | ||||
\(218\) | 16.6097 | + | 10.0445i | 1.12495 | + | 0.680296i | ||||
\(219\) | −31.2711 | + | 14.5819i | −2.11310 | + | 0.985356i | ||||
\(220\) | −9.03292 | − | 11.6981i | −0.609000 | − | 0.788683i | ||||
\(221\) | 7.49455 | + | 2.00816i | 0.504138 | + | 0.135083i | ||||
\(222\) | −26.3804 | − | 27.4736i | −1.77054 | − | 1.84391i | ||||
\(223\) | −10.2635 | − | 8.61213i | −0.687298 | − | 0.576711i | 0.230831 | − | 0.972994i | \(-0.425856\pi\) |
−0.918129 | + | 0.396283i | \(0.870300\pi\) | |||||||
\(224\) | −2.33351 | − | 4.17775i | −0.155914 | − | 0.279138i | ||||
\(225\) | 2.24724 | − | 12.7447i | 0.149816 | − | 0.849649i | ||||
\(226\) | 0.362339 | − | 0.495748i | 0.0241025 | − | 0.0329767i | ||||
\(227\) | 10.2347 | + | 10.2347i | 0.679304 | + | 0.679304i | 0.959843 | − | 0.280539i | \(-0.0905131\pi\) |
−0.280539 | + | 0.959843i | \(0.590513\pi\) | |||||||
\(228\) | 27.2397 | − | 10.6362i | 1.80399 | − | 0.704402i | ||||
\(229\) | 14.1318 | − | 14.1318i | 0.933857 | − | 0.933857i | −0.0640876 | − | 0.997944i | \(-0.520414\pi\) |
0.997944 | + | 0.0640876i | \(0.0204137\pi\) | |||||||
\(230\) | 6.29249 | − | 0.978309i | 0.414915 | − | 0.0645078i | ||||
\(231\) | −8.05751 | − | 1.42076i | −0.530145 | − | 0.0934789i | ||||
\(232\) | −1.88600 | − | 16.5237i | −0.123822 | − | 1.08483i | ||||
\(233\) | 7.19360 | − | 8.57300i | 0.471269 | − | 0.561636i | −0.477082 | − | 0.878859i | \(-0.658306\pi\) |
0.948351 | + | 0.317222i | \(0.102750\pi\) | |||||||
\(234\) | −38.8306 | − | 0.788187i | −2.53844 | − | 0.0515254i | ||||
\(235\) | 8.13020 | − | 30.3423i | 0.530356 | − | 1.97931i | ||||
\(236\) | −1.71891 | − | 0.220980i | −0.111891 | − | 0.0143845i | ||||
\(237\) | −5.55731 | − | 11.9177i | −0.360986 | − | 0.774137i | ||||
\(238\) | −0.667021 | − | 2.70804i | −0.0432366 | − | 0.175536i | ||||
\(239\) | −7.49317 | − | 4.32618i | −0.484693 | − | 0.279837i | 0.237677 | − | 0.971344i | \(-0.423614\pi\) |
−0.722370 | + | 0.691507i | \(0.756947\pi\) | |||||||
\(240\) | −8.69777 | + | 33.2690i | −0.561438 | + | 2.14751i | ||||
\(241\) | 22.0438 | − | 3.88692i | 1.41997 | − | 0.250378i | 0.589644 | − | 0.807663i | \(-0.299268\pi\) |
0.830321 | + | 0.557285i | \(0.188157\pi\) | |||||||
\(242\) | −3.77649 | − | 0.407780i | −0.242762 | − | 0.0262131i | ||||
\(243\) | 62.0888 | + | 5.43207i | 3.98300 | + | 0.348467i | ||||
\(244\) | 2.71496 | + | 12.0724i | 0.173807 | + | 0.772858i | ||||
\(245\) | −6.80675 | + | 14.5971i | −0.434867 | + | 0.932576i | ||||
\(246\) | −2.77581 | + | 14.0668i | −0.176979 | + | 0.896864i | ||||
\(247\) | 13.2882 | − | 5.82060i | 0.845510 | − | 0.370356i | ||||
\(248\) | −4.27034 | + | 0.869702i | −0.271167 | + | 0.0552261i | ||||
\(249\) | 4.73184 | − | 1.72225i | 0.299868 | − | 0.109143i | ||||
\(250\) | 11.5991 | + | 4.49035i | 0.733593 | + | 0.283994i | ||||
\(251\) | 0.939829 | + | 0.0822244i | 0.0593215 | + | 0.00518996i | 0.116778 | − | 0.993158i | \(-0.462743\pi\) |
−0.0574563 | + | 0.998348i | \(0.518299\pi\) | |||||||
\(252\) | 6.48398 | + | 12.3636i | 0.408452 | + | 0.778835i | ||||
\(253\) | −2.90580 | + | 4.14991i | −0.182686 | + | 0.260903i | ||||
\(254\) | −5.06747 | + | 10.3154i | −0.317962 | + | 0.647243i | ||||
\(255\) | −10.0208 | + | 17.3566i | −0.627530 | + | 1.08691i | ||||
\(256\) | 5.28893 | − | 15.1006i | 0.330558 | − | 0.943786i | ||||
\(257\) | 0.368203 | − | 1.01163i | 0.0229679 | − | 0.0631037i | −0.927679 | − | 0.373379i | \(-0.878199\pi\) |
0.950647 | + | 0.310275i | \(0.100421\pi\) | |||||||
\(258\) | 2.68103 | + | 39.9728i | 0.166914 | + | 2.48860i | ||||
\(259\) | −1.75791 | + | 6.56061i | −0.109231 | + | 0.407657i | ||||
\(260\) | −3.64162 | + | 16.6661i | −0.225844 | + | 1.03359i | ||||
\(261\) | 4.22877 | + | 48.3350i | 0.261754 | + | 2.99186i | ||||
\(262\) | 18.4361 | − | 10.1509i | 1.13898 | − | 0.627124i | ||||
\(263\) | 2.06382 | − | 11.7045i | 0.127261 | − | 0.721731i | −0.852679 | − | 0.522436i | \(-0.825024\pi\) |
0.979939 | − | 0.199295i | \(-0.0638653\pi\) | |||||||
\(264\) | −14.2985 | − | 23.3225i | −0.880009 | − | 1.43540i | ||||
\(265\) | 25.9659 | 1.59507 | ||||||||
\(266\) | −4.13660 | − | 3.17506i | −0.253631 | − | 0.194675i | ||||
\(267\) | −8.41548 | − | 8.41548i | −0.515019 | − | 0.515019i | ||||
\(268\) | −22.8497 | + | 21.0661i | −1.39577 | + | 1.28682i | ||||
\(269\) | 7.77335 | + | 11.1015i | 0.473949 | + | 0.676870i | 0.982945 | − | 0.183899i | \(-0.0588720\pi\) |
−0.508996 | + | 0.860769i | \(0.669983\pi\) | |||||||
\(270\) | 17.7735 | − | 61.3253i | 1.08166 | − | 3.73214i | ||||
\(271\) | −0.933121 | + | 1.11205i | −0.0566831 | + | 0.0675522i | −0.793641 | − | 0.608386i | \(-0.791817\pi\) |
0.736958 | + | 0.675939i | \(0.236262\pi\) | |||||||
\(272\) | 5.30213 | − | 7.67116i | 0.321489 | − | 0.465132i | ||||
\(273\) | 4.72189 | + | 8.17856i | 0.285782 | + | 0.494989i | ||||
\(274\) | 1.87229 | + | 27.9149i | 0.113109 | + | 1.68640i | ||||
\(275\) | 4.09843 | − | 1.91113i | 0.247145 | − | 0.115245i | ||||
\(276\) | 11.7742 | − | 0.549973i | 0.708727 | − | 0.0331045i | ||||
\(277\) | −4.48317 | − | 16.7314i | −0.269368 | − | 1.00529i | −0.959522 | − | 0.281632i | \(-0.909124\pi\) |
0.690155 | − | 0.723662i | \(-0.257542\pi\) | |||||||
\(278\) | 8.71069 | − | 2.97167i | 0.522432 | − | 0.178229i | ||||
\(279\) | 12.5210 | − | 2.20779i | 0.749611 | − | 0.132177i | ||||
\(280\) | 5.87917 | − | 1.74277i | 0.351347 | − | 0.104151i | ||||
\(281\) | 4.39806 | − | 3.69041i | 0.262366 | − | 0.220151i | −0.502109 | − | 0.864804i | \(-0.667443\pi\) |
0.764475 | + | 0.644653i | \(0.222998\pi\) | |||||||
\(282\) | 20.9910 | − | 54.2224i | 1.25000 | − | 3.22889i | ||||
\(283\) | 16.1317 | + | 7.52234i | 0.958930 | + | 0.447157i | 0.838100 | − | 0.545517i | \(-0.183667\pi\) |
0.120830 | + | 0.992673i | \(0.461444\pi\) | |||||||
\(284\) | −5.83614 | − | 2.39663i | −0.346311 | − | 0.142214i | ||||
\(285\) | 5.63886 | + | 37.0459i | 0.334017 | + | 2.19441i | ||||
\(286\) | −7.55706 | − | 11.2728i | −0.446858 | − | 0.666573i | ||||
\(287\) | 2.40261 | − | 0.874478i | 0.141822 | − | 0.0516188i | ||||
\(288\) | −16.5868 | + | 43.6324i | −0.977384 | + | 2.57107i | ||||
\(289\) | −8.85934 | + | 7.43387i | −0.521138 | + | 0.437287i | ||||
\(290\) | 21.1884 | + | 2.28789i | 1.24423 | + | 0.134350i | ||||
\(291\) | −27.0409 | − | 18.9342i | −1.58516 | − | 1.10994i | ||||
\(292\) | 2.74730 | + | 20.3882i | 0.160774 | + | 1.19313i | ||||
\(293\) | −5.81683 | + | 1.55861i | −0.339823 | + | 0.0910552i | −0.424695 | − | 0.905337i | \(-0.639619\pi\) |
0.0848720 | + | 0.996392i | \(0.472952\pi\) | |||||||
\(294\) | −15.4268 | + | 25.5100i | −0.899709 | + | 1.48777i | ||||
\(295\) | 0.759557 | − | 2.08686i | 0.0442231 | − | 0.121502i | ||||
\(296\) | −20.3217 | + | 10.1371i | −1.18118 | + | 0.589209i | ||||
\(297\) | 25.3974 | + | 43.9895i | 1.47371 | + | 2.55253i | ||||
\(298\) | 0.0648681 | − | 3.19578i | 0.00375771 | − | 0.185126i | ||||
\(299\) | 5.82526 | − | 0.509644i | 0.336884 | − | 0.0294735i | ||||
\(300\) | −9.34734 | − | 4.82983i | −0.539669 | − | 0.278850i | ||||
\(301\) | 5.85210 | − | 4.09768i | 0.337309 | − | 0.236186i | ||||
\(302\) | −17.6256 | + | 24.1151i | −1.01424 | + | 1.38767i | ||||
\(303\) | 15.8544 | 0.910813 | ||||||||
\(304\) | −1.21727 | − | 17.3931i | −0.0698154 | − | 0.997560i | ||||
\(305\) | −15.8564 | −0.907937 | ||||||||
\(306\) | −16.0535 | + | 21.9642i | −0.917718 | + | 1.25561i | ||||
\(307\) | −11.9267 | + | 8.35115i | −0.680692 | + | 0.476625i | −0.862071 | − | 0.506788i | \(-0.830833\pi\) |
0.181379 | + | 0.983413i | \(0.441944\pi\) | |||||||
\(308\) | −2.23938 | + | 4.33395i | −0.127600 | + | 0.246950i | ||||
\(309\) | 12.3071 | − | 1.07673i | 0.700125 | − | 0.0612530i | ||||
\(310\) | 0.113331 | − | 5.58335i | 0.00643678 | − | 0.317113i | ||||
\(311\) | 7.67846 | + | 13.2995i | 0.435406 | + | 0.754145i | 0.997329 | − | 0.0730449i | \(-0.0232716\pi\) |
−0.561923 | + | 0.827190i | \(0.689938\pi\) | |||||||
\(312\) | −10.0132 | + | 29.9464i | −0.566888 | + | 1.69538i | ||||
\(313\) | −0.656122 | + | 1.80268i | −0.0370862 | + | 0.101893i | −0.956854 | − | 0.290570i | \(-0.906155\pi\) |
0.919767 | + | 0.392464i | \(0.128377\pi\) | |||||||
\(314\) | 6.92835 | − | 11.4568i | 0.390989 | − | 0.646546i | ||||
\(315\) | −17.2802 | + | 4.63021i | −0.973627 | + | 0.260883i | ||||
\(316\) | −7.77015 | + | 1.04702i | −0.437105 | + | 0.0588995i | ||||
\(317\) | 9.57345 | + | 6.70340i | 0.537699 | + | 0.376501i | 0.810653 | − | 0.585526i | \(-0.199112\pi\) |
−0.272955 | + | 0.962027i | \(0.588001\pi\) | |||||||
\(318\) | 47.7840 | + | 5.15965i | 2.67960 | + | 0.289339i | ||||
\(319\) | −12.9878 | + | 10.8980i | −0.727176 | + | 0.610173i | ||||
\(320\) | 17.3919 | + | 10.8579i | 0.972236 | + | 0.606978i | ||||
\(321\) | 30.2344 | − | 11.0044i | 1.68752 | − | 0.614206i | ||||
\(322\) | −1.17042 | − | 1.74590i | −0.0652248 | − | 0.0972950i | ||||
\(323\) | 1.99906 | − | 9.96332i | 0.111231 | − | 0.554374i | ||||
\(324\) | 26.0863 | − | 63.5239i | 1.44924 | − | 3.52911i | ||||
\(325\) | −4.73058 | − | 2.20591i | −0.262405 | − | 0.122362i | ||||
\(326\) | −5.24313 | + | 13.5436i | −0.290390 | + | 0.750113i | ||||
\(327\) | −35.2686 | + | 29.5939i | −1.95036 | + | 1.63654i | ||||
\(328\) | 7.51373 | + | 4.07767i | 0.414876 | + | 0.225152i | ||||
\(329\) | −10.2108 | + | 1.80045i | −0.562942 | + | 0.0992619i | ||||
\(330\) | 33.1782 | − | 11.3188i | 1.82640 | − | 0.623079i | ||||
\(331\) | −1.55003 | − | 5.78477i | −0.0851971 | − | 0.317960i | 0.910154 | − | 0.414269i | \(-0.135963\pi\) |
−0.995351 | + | 0.0963094i | \(0.969296\pi\) | |||||||
\(332\) | −0.140088 | − | 2.99911i | −0.00768831 | − | 0.164597i | ||||
\(333\) | 60.0466 | − | 28.0002i | 3.29053 | − | 1.53440i | ||||
\(334\) | −1.72274 | − | 25.6852i | −0.0942644 | − | 1.40543i | ||||
\(335\) | −19.9127 | − | 34.4899i | −1.08795 | − | 1.88438i | ||||
\(336\) | 11.1655 | − | 2.03892i | 0.609129 | − | 0.111232i | ||||
\(337\) | −1.28721 | + | 1.53403i | −0.0701186 | + | 0.0835640i | −0.799963 | − | 0.600049i | \(-0.795148\pi\) |
0.729845 | + | 0.683613i | \(0.239592\pi\) | |||||||
\(338\) | 0.757168 | − | 2.61251i | 0.0411845 | − | 0.142102i | ||||
\(339\) | 0.835389 | + | 1.19306i | 0.0453721 | + | 0.0647981i | ||||
\(340\) | 8.09983 | + | 8.78559i | 0.439275 | + | 0.476466i | ||||
\(341\) | 3.14148 | + | 3.14148i | 0.170121 | + | 0.170121i | ||||
\(342\) | 2.21159 | + | 50.8189i | 0.119589 | + | 2.74797i | ||||
\(343\) | 11.2376 | 0.606775 | ||||||||
\(344\) | 23.2280 | + | 5.57162i | 1.25237 | + | 0.300402i | ||||
\(345\) | −2.62285 | + | 14.8749i | −0.141210 | + | 0.800840i | ||||
\(346\) | −11.2876 | + | 6.21495i | −0.606825 | + | 0.334118i | ||||
\(347\) | 0.860438 | + | 9.83485i | 0.0461907 | + | 0.527962i | 0.983677 | + | 0.179941i | \(0.0575907\pi\) |
−0.937487 | + | 0.348021i | \(0.886854\pi\) | |||||||
\(348\) | 38.5376 | + | 8.42065i | 2.06583 | + | 0.451394i | ||||
\(349\) | −7.10989 | + | 26.5345i | −0.380584 | + | 1.42036i | 0.464429 | + | 0.885611i | \(0.346260\pi\) |
−0.845012 | + | 0.534747i | \(0.820407\pi\) | |||||||
\(350\) | 0.125558 | + | 1.87201i | 0.00671137 | + | 0.100063i | ||||
\(351\) | 20.0524 | − | 55.0936i | 1.07032 | − | 2.94068i | ||||
\(352\) | −15.8137 | + | 3.99732i | −0.842872 | + | 0.213058i | ||||
\(353\) | −3.02078 | + | 5.23215i | −0.160780 | + | 0.278479i | −0.935149 | − | 0.354255i | \(-0.884734\pi\) |
0.774369 | + | 0.632735i | \(0.218068\pi\) | |||||||
\(354\) | 1.81246 | − | 3.68945i | 0.0963314 | − | 0.196092i | ||||
\(355\) | 4.63718 | − | 6.62257i | 0.246116 | − | 0.351490i | ||||
\(356\) | −6.28424 | + | 3.29571i | −0.333064 | + | 0.174672i | ||||
\(357\) | 6.58998 | + | 0.576548i | 0.348779 | + | 0.0305142i | ||||
\(358\) | 12.5500 | + | 4.85846i | 0.663288 | + | 0.256777i | ||||
\(359\) | 7.44267 | − | 2.70891i | 0.392809 | − | 0.142971i | −0.138062 | − | 0.990424i | \(-0.544087\pi\) |
0.530871 | + | 0.847453i | \(0.321865\pi\) | |||||||
\(360\) | −49.8863 | − | 33.0046i | −2.62924 | − | 1.73950i | ||||
\(361\) | −8.71712 | − | 16.8823i | −0.458796 | − | 0.888542i | ||||
\(362\) | 0.0705883 | − | 0.357714i | 0.00371004 | − | 0.0188011i | ||||
\(363\) | 3.80758 | − | 8.16538i | 0.199846 | − | 0.428571i | ||||
\(364\) | 5.49355 | − | 1.23544i | 0.287940 | − | 0.0647546i | ||||
\(365\) | −26.2621 | − | 2.29763i | −1.37462 | − | 0.120264i | ||||
\(366\) | −29.1800 | − | 3.15082i | −1.52526 | − | 0.164696i | ||||
\(367\) | 1.80211 | − | 0.317761i | 0.0940696 | − | 0.0165870i | −0.126415 | − | 0.991977i | \(-0.540347\pi\) |
0.220485 | + | 0.975390i | \(0.429236\pi\) | |||||||
\(368\) | 1.77762 | − | 6.79940i | 0.0926647 | − | 0.354443i | ||||
\(369\) | −21.5993 | − | 12.4704i | −1.12442 | − | 0.649182i | ||||
\(370\) | −6.95993 | − | 28.2566i | −0.361830 | − | 1.46899i | ||||
\(371\) | −3.62206 | − | 7.76754i | −0.188048 | − | 0.403271i | ||||
\(372\) | 1.31802 | − | 10.2523i | 0.0683362 | − | 0.531558i | ||||
\(373\) | 4.90620 | − | 18.3102i | 0.254034 | − | 0.948066i | −0.714592 | − | 0.699541i | \(-0.753388\pi\) |
0.968626 | − | 0.248525i | \(-0.0799457\pi\) | |||||||
\(374\) | −9.50453 | − | 0.192924i | −0.491468 | − | 0.00997584i | ||||
\(375\) | −18.9632 | + | 22.5994i | −0.979254 | + | 1.16703i | ||||
\(376\) | −27.1354 | − | 21.5756i | −1.39940 | − | 1.11268i | ||||
\(377\) | 19.2721 | + | 3.39819i | 0.992564 | + | 0.175016i | ||||
\(378\) | −20.8244 | + | 3.23762i | −1.07109 | + | 0.166525i | ||||
\(379\) | 16.6441 | − | 16.6441i | 0.854951 | − | 0.854951i | −0.135787 | − | 0.990738i | \(-0.543356\pi\) |
0.990738 | + | 0.135787i | \(0.0433562\pi\) | |||||||
\(380\) | 22.0872 | + | 3.36836i | 1.13305 | + | 0.172793i | ||||
\(381\) | −19.2756 | − | 19.2756i | −0.987518 | − | 0.987518i | ||||
\(382\) | −17.2550 | + | 23.6081i | −0.882843 | + | 1.20790i | ||||
\(383\) | 1.11071 | − | 6.29916i | 0.0567547 | − | 0.321872i | −0.943191 | − | 0.332250i | \(-0.892192\pi\) |
0.999946 | + | 0.0103778i | \(0.00330343\pi\) | |||||||
\(384\) | 29.8481 | + | 23.4374i | 1.52318 | + | 1.19604i | ||||
\(385\) | −4.78874 | − | 4.01823i | −0.244057 | − | 0.204788i | ||||
\(386\) | −0.0170361 | − | 0.0177420i | −0.000867114 | − | 0.000903045i | ||||
\(387\) | −67.3136 | − | 18.0366i | −3.42174 | − | 0.916854i | ||||
\(388\) | −15.5785 | + | 12.0293i | −0.790879 | + | 0.610695i | ||||
\(389\) | −20.2394 | + | 9.43779i | −1.02618 | + | 0.478515i | −0.861460 | − | 0.507826i | \(-0.830449\pi\) |
−0.164719 | + | 0.986341i | \(0.552672\pi\) | |||||||
\(390\) | −34.6240 | − | 20.9384i | −1.75326 | − | 1.06026i | ||||
\(391\) | 2.04802 | − | 3.54728i | 0.103573 | − | 0.179394i | ||||
\(392\) | 11.7807 | + | 13.3103i | 0.595017 | + | 0.672273i | ||||
\(393\) | 8.66826 | + | 49.1601i | 0.437256 | + | 2.47980i | ||||
\(394\) | −7.14305 | − | 8.87237i | −0.359862 | − | 0.446983i | ||||
\(395\) | 0.875649 | − | 10.0087i | 0.0440587 | − | 0.503593i | ||||
\(396\) | 46.4268 | − | 10.4409i | 2.33303 | − | 0.524674i | ||||
\(397\) | −15.3277 | − | 7.14744i | −0.769277 | − | 0.358720i | −0.00196872 | − | 0.999998i | \(-0.500627\pi\) |
−0.767308 | + | 0.641278i | \(0.778404\pi\) | |||||||
\(398\) | −11.6848 | − | 17.4301i | −0.585707 | − | 0.873692i | ||||
\(399\) | 10.2955 | − | 6.85449i | 0.515419 | − | 0.343154i | ||||
\(400\) | −4.40880 | + | 4.46279i | −0.220440 | + | 0.223139i | ||||
\(401\) | 1.98305 | + | 5.44838i | 0.0990288 | + | 0.272079i | 0.979308 | − | 0.202377i | \(-0.0648668\pi\) |
−0.880279 | + | 0.474457i | \(0.842645\pi\) | |||||||
\(402\) | −29.7913 | − | 67.4274i | −1.48585 | − | 3.36297i | ||||
\(403\) | 0.446933 | − | 5.10847i | 0.0222633 | − | 0.254471i | ||||
\(404\) | 2.81514 | − | 9.02412i | 0.140058 | − | 0.448967i | ||||
\(405\) | 72.0839 | + | 50.4737i | 3.58188 | + | 2.50806i | ||||
\(406\) | −2.27123 | − | 6.65754i | −0.112719 | − | 0.330408i | ||||
\(407\) | 20.0496 | + | 11.5757i | 0.993823 | + | 0.573784i | ||||
\(408\) | 13.1601 | + | 17.7773i | 0.651520 | + | 0.880109i | ||||
\(409\) | 12.7538 | + | 4.64202i | 0.630637 | + | 0.229533i | 0.637509 | − | 0.770443i | \(-0.279965\pi\) |
−0.00687149 | + | 0.999976i | \(0.502187\pi\) | |||||||
\(410\) | −7.21051 | + | 8.24728i | −0.356102 | + | 0.407304i | ||||
\(411\) | −64.0987 | − | 17.1752i | −3.16176 | − | 0.847190i | ||||
\(412\) | 1.57240 | − | 7.19620i | 0.0774667 | − | 0.354531i | ||||
\(413\) | −0.730227 | + | 0.0638866i | −0.0359321 | + | 0.00314365i | ||||
\(414\) | −5.70750 | + | 19.6930i | −0.280508 | + | 0.967859i | ||||
\(415\) | 3.78890 | + | 0.668086i | 0.185990 | + | 0.0327950i | ||||
\(416\) | 15.2671 | + | 11.0167i | 0.748532 | + | 0.540139i | ||||
\(417\) | 21.8300i | 1.06902i | ||||||||
\(418\) | −14.1031 | + | 10.8185i | −0.689803 | + | 0.529149i | ||||
\(419\) | −21.7483 | + | 21.7483i | −1.06248 | + | 1.06248i | −0.0645618 | + | 0.997914i | \(0.520565\pi\) |
−0.997914 | + | 0.0645618i | \(0.979435\pi\) | |||||||
\(420\) | −0.590208 | + | 14.5325i | −0.0287992 | + | 0.709115i | ||||
\(421\) | −21.6363 | + | 15.1499i | −1.05449 | + | 0.738362i | −0.966216 | − | 0.257734i | \(-0.917024\pi\) |
−0.0882744 | + | 0.996096i | \(0.528135\pi\) | |||||||
\(422\) | 1.06489 | + | 1.93406i | 0.0518382 | + | 0.0941487i | ||||
\(423\) | 77.4777 | + | 65.0115i | 3.76709 | + | 3.16097i | ||||
\(424\) | 11.4214 | − | 26.2819i | 0.554673 | − | 1.27636i | ||||
\(425\) | −3.16638 | + | 1.82811i | −0.153592 | + | 0.0886763i | ||||
\(426\) | 9.84960 | − | 11.2658i | 0.477215 | − | 0.545832i | ||||
\(427\) | 2.21187 | + | 4.74336i | 0.107040 | + | 0.229547i | ||||
\(428\) | −0.895098 | − | 19.1629i | −0.0432662 | − | 0.926276i | ||||
\(429\) | 31.0932 | − | 8.33139i | 1.50119 | − | 0.402243i | ||||
\(430\) | −13.4965 | + | 27.4734i | −0.650858 | + | 1.32489i | ||||
\(431\) | −2.66352 | − | 15.1055i | −0.128297 | − | 0.727609i | −0.979295 | − | 0.202439i | \(-0.935113\pi\) |
0.850998 | − | 0.525169i | \(-0.175998\pi\) | |||||||
\(432\) | −54.2537 | − | 44.9645i | −2.61028 | − | 2.16336i | ||||
\(433\) | −2.65118 | − | 3.15956i | −0.127408 | − | 0.151839i | 0.698569 | − | 0.715542i | \(-0.253820\pi\) |
−0.825977 | + | 0.563704i | \(0.809376\pi\) | |||||||
\(434\) | −1.68604 | + | 0.744938i | −0.0809324 | + | 0.0357581i | ||||
\(435\) | −21.3628 | + | 45.8127i | −1.02427 | + | 2.19655i | ||||
\(436\) | 10.5821 | + | 25.3291i | 0.506789 | + | 1.21305i | ||||
\(437\) | −1.15245 | − | 7.57129i | −0.0551291 | − | 0.362184i | ||||
\(438\) | −47.8726 | − | 9.44676i | −2.28744 | − | 0.451383i | ||||
\(439\) | −8.68926 | − | 23.8735i | −0.414716 | − | 1.13942i | −0.954654 | − | 0.297718i | \(-0.903775\pi\) |
0.539938 | − | 0.841705i | \(-0.318448\pi\) | |||||||
\(440\) | −0.551333 | − | 20.8943i | −0.0262838 | − | 0.996098i | ||||
\(441\) | −33.3332 | − | 39.7249i | −1.58729 | − | 1.89166i | ||||
\(442\) | 6.88114 | + | 8.54705i | 0.327302 | + | 0.406542i | ||||
\(443\) | −4.62526 | + | 6.60555i | −0.219753 | + | 0.313839i | −0.913858 | − | 0.406034i | \(-0.866911\pi\) |
0.694105 | + | 0.719874i | \(0.255800\pi\) | |||||||
\(444\) | −7.19327 | − | 53.3827i | −0.341377 | − | 2.53343i | ||||
\(445\) | −2.35347 | − | 8.78325i | −0.111565 | − | 0.416366i | ||||
\(446\) | −4.53161 | − | 18.3979i | −0.214578 | − | 0.871166i | ||||
\(447\) | 7.12437 | + | 2.59306i | 0.336971 | + | 0.122647i | ||||
\(448\) | 0.822044 | − | 6.71730i | 0.0388379 | − | 0.317362i | ||||
\(449\) | 9.71979 | − | 5.61172i | 0.458705 | − | 0.264834i | −0.252794 | − | 0.967520i | \(-0.581350\pi\) |
0.711500 | + | 0.702686i | \(0.248016\pi\) | |||||||
\(450\) | 13.2013 | − | 12.6760i | 0.622315 | − | 0.597554i | ||||
\(451\) | −0.759571 | − | 8.68194i | −0.0357668 | − | 0.408816i | ||||
\(452\) | 0.827406 | − | 0.263651i | 0.0389179 | − | 0.0124011i | ||||
\(453\) | −40.6365 | − | 58.0349i | −1.90927 | − | 2.72672i | ||||
\(454\) | 3.14466 | + | 20.2265i | 0.147586 | + | 0.949277i | ||||
\(455\) | 7.21546i | 0.338266i | ||||||||
\(456\) | 39.9770 | + | 10.5876i | 1.87210 | + | 0.495810i | ||||
\(457\) | − | 16.8264i | − | 0.787105i | −0.919302 | − | 0.393553i | \(-0.871246\pi\) | ||
0.919302 | − | 0.393553i | \(-0.128754\pi\) | |||||||
\(458\) | 27.9281 | − | 4.34205i | 1.30500 | − | 0.202891i | ||||
\(459\) | −23.5559 | − | 33.6414i | −1.09950 | − | 1.57024i | ||||
\(460\) | 8.00089 | + | 4.13411i | 0.373043 | + | 0.192754i | ||||
\(461\) | 0.367996 | + | 4.20622i | 0.0171393 | + | 0.195903i | 0.999937 | + | 0.0112181i | \(0.00357091\pi\) |
−0.982798 | + | 0.184685i | \(0.940874\pi\) | |||||||
\(462\) | −8.01408 | − | 8.34617i | −0.372849 | − | 0.388299i | ||||
\(463\) | −15.4385 | + | 8.91340i | −0.717486 | + | 0.414241i | −0.813827 | − | 0.581108i | \(-0.802620\pi\) |
0.0963406 | + | 0.995348i | \(0.469286\pi\) | |||||||
\(464\) | 11.6357 | − | 20.4399i | 0.540175 | − | 0.948899i | ||||
\(465\) | 12.4470 | + | 4.53034i | 0.577216 | + | 0.210089i | ||||
\(466\) | 15.3675 | − | 3.78520i | 0.711887 | − | 0.175346i | ||||
\(467\) | −8.27329 | − | 30.8763i | −0.382842 | − | 1.42879i | −0.841540 | − | 0.540195i | \(-0.818351\pi\) |
0.458698 | − | 0.888592i | \(-0.348316\pi\) | |||||||
\(468\) | −43.6774 | − | 33.3042i | −2.01899 | − | 1.53949i | ||||
\(469\) | −7.53976 | + | 10.7679i | −0.348154 | + | 0.497215i | ||||
\(470\) | 34.6034 | − | 27.8589i | 1.59614 | − | 1.28503i | ||||
\(471\) | 20.4129 | + | 24.3272i | 0.940577 | + | 1.12094i | ||||
\(472\) | −1.77816 | − | 1.68673i | −0.0818465 | − | 0.0776382i | ||||
\(473\) | −8.32863 | − | 22.8827i | −0.382951 | − | 1.05215i | ||||
\(474\) | 3.60025 | − | 18.2447i | 0.165365 | − | 0.838006i | ||||
\(475\) | −2.48827 | + | 6.36721i | −0.114170 | + | 0.292148i | ||||
\(476\) | 1.49829 | − | 3.64855i | 0.0686740 | − | 0.167231i | ||||
\(477\) | −35.3320 | + | 75.7697i | −1.61774 | + | 3.46926i | ||||
\(478\) | −4.94516 | − | 11.1925i | −0.226186 | − | 0.511933i | ||||
\(479\) | 4.97020 | + | 5.92325i | 0.227094 | + | 0.270640i | 0.867545 | − | 0.497359i | \(-0.165697\pi\) |
−0.640451 | + | 0.767999i | \(0.721252\pi\) | |||||||
\(480\) | −37.6938 | + | 30.7268i | −1.72048 | + | 1.40248i | ||||
\(481\) | −4.64026 | − | 26.3162i | −0.211578 | − | 1.19992i | ||||
\(482\) | 28.4123 | + | 13.9577i | 1.29414 | + | 0.635755i | ||||
\(483\) | 4.81563 | − | 1.29034i | 0.219119 | − | 0.0587126i | ||||
\(484\) | −3.97154 | − | 3.61708i | −0.180525 | − | 0.164413i | ||||
\(485\) | −10.6591 | − | 22.8586i | −0.484006 | − | 1.03795i | ||||
\(486\) | 66.3572 | + | 58.0154i | 3.01002 | + | 2.63163i | ||||
\(487\) | 13.2939 | − | 7.67523i | 0.602403 | − | 0.347798i | −0.167583 | − | 0.985858i | \(-0.553596\pi\) |
0.769986 | + | 0.638060i | \(0.220263\pi\) | |||||||
\(488\) | −6.97465 | + | 16.0494i | −0.315728 | + | 0.726523i | ||||
\(489\) | −26.3881 | − | 22.1422i | −1.19331 | − | 1.00131i | ||||
\(490\) | −19.9530 | + | 10.9861i | −0.901384 | + | 0.496302i | ||||
\(491\) | 13.5892 | − | 9.51529i | 0.613274 | − | 0.429419i | −0.225237 | − | 0.974304i | \(-0.572316\pi\) |
0.838511 | + | 0.544885i | \(0.183427\pi\) | |||||||
\(492\) | −14.9080 | + | 13.7444i | −0.672107 | + | 0.619645i | ||||
\(493\) | 9.69295 | − | 9.69295i | 0.436549 | − | 0.436549i | ||||
\(494\) | 20.0292 | + | 4.44335i | 0.901157 | + | 0.199916i | ||||
\(495\) | 60.9789i | 2.74080i | ||||||||
\(496\) | −5.60145 | − | 2.57062i | −0.251512 | − | 0.115424i | ||||
\(497\) | −2.62796 | − | 0.463381i | −0.117880 | − | 0.0207855i | ||||
\(498\) | 6.83983 | + | 1.98234i | 0.306500 | + | 0.0888310i | ||||
\(499\) | −7.24137 | + | 0.633538i | −0.324168 | + | 0.0283611i | −0.248079 | − | 0.968740i | \(-0.579799\pi\) |
−0.0760898 | + | 0.997101i | \(0.524244\pi\) | |||||||
\(500\) | 9.49615 | + | 14.8064i | 0.424681 | + | 0.662161i | ||||
\(501\) | 58.9788 | + | 15.8033i | 2.63498 | + | 0.706040i | ||||
\(502\) | 1.00444 | + | 0.878170i | 0.0448303 | + | 0.0391946i | ||||
\(503\) | 1.17090 | + | 0.426172i | 0.0522078 | + | 0.0190021i | 0.367992 | − | 0.929829i | \(-0.380045\pi\) |
−0.315784 | + | 0.948831i | \(0.602268\pi\) | |||||||
\(504\) | −2.91434 | + | 19.5271i | −0.129815 | + | 0.869807i | ||||
\(505\) | 10.4906 | + | 6.05673i | 0.466824 | + | 0.269521i | ||||
\(506\) | −6.78082 | + | 2.31329i | −0.301444 | + | 0.102838i | ||||
\(507\) | 5.28484 | + | 3.70048i | 0.234708 | + | 0.164344i | ||||
\(508\) | −14.3940 | + | 7.54879i | −0.638630 | + | 0.334924i | ||||
\(509\) | 2.33653 | − | 26.7067i | 0.103565 | − | 1.18375i | −0.749520 | − | 0.661982i | \(-0.769716\pi\) |
0.853085 | − | 0.521772i | \(-0.174729\pi\) | |||||||
\(510\) | −25.9255 | + | 11.4546i | −1.14800 | + | 0.507218i | ||||
\(511\) | 2.97606 | + | 8.17665i | 0.131653 | + | 0.361714i | ||||
\(512\) | 18.6401 | − | 12.8275i | 0.823785 | − | 0.566902i | ||||
\(513\) | −73.6836 | − | 21.6098i | −3.25321 | − | 0.954097i | ||||
\(514\) | 1.26460 | − | 0.847767i | 0.0557793 | − | 0.0373934i | ||||
\(515\) | 8.55468 | + | 3.98911i | 0.376964 | + | 0.175781i | ||||
\(516\) | −30.2963 | + | 47.8765i | −1.33372 | + | 2.10765i | ||||
\(517\) | −3.08022 | + | 35.2070i | −0.135468 | + | 1.54840i | ||||
\(518\) | −7.48195 | + | 6.02364i | −0.328738 | + | 0.264663i | ||||
\(519\) | −5.30720 | − | 30.0986i | −0.232960 | − | 1.32118i | ||||
\(520\) | −18.0657 | + | 15.9897i | −0.792234 | + | 0.701193i | ||||
\(521\) | −22.4023 | + | 38.8018i | −0.981460 | + | 1.69994i | −0.324744 | + | 0.945802i | \(0.605278\pi\) |
−0.656717 | + | 0.754137i | \(0.728055\pi\) | |||||||
\(522\) | −35.5075 | + | 58.7157i | −1.55412 | + | 2.56992i | ||||
\(523\) | 11.9812 | − | 5.58692i | 0.523901 | − | 0.244299i | −0.142630 | − | 0.989776i | \(-0.545556\pi\) |
0.666531 | + | 0.745477i | \(0.267778\pi\) | |||||||
\(524\) | 29.5204 | + | 3.79509i | 1.28961 | + | 0.165789i | ||||
\(525\) | −4.29853 | − | 1.15179i | −0.187603 | − | 0.0502682i | ||||
\(526\) | 12.1238 | − | 11.6414i | 0.528624 | − | 0.507590i | ||||
\(527\) | −2.75165 | − | 2.30891i | −0.119864 | − | 0.100578i | ||||
\(528\) | 3.13729 | − | 38.5606i | 0.136533 | − | 1.67814i | ||||
\(529\) | −3.45786 | + | 19.6105i | −0.150342 | + | 0.852630i | ||||
\(530\) | 29.6467 | + | 21.6686i | 1.28777 | + | 0.941222i | ||||
\(531\) | 5.05605 | + | 5.05605i | 0.219414 | + | 0.219414i | ||||
\(532\) | −2.07340 | − | 7.07714i | −0.0898932 | − | 0.306833i | ||||
\(533\) | −7.11302 | + | 7.11302i | −0.308099 | + | 0.308099i | ||||
\(534\) | −2.58569 | − | 16.6312i | −0.111894 | − | 0.719701i | ||||
\(535\) | 24.2094 | + | 4.26877i | 1.04666 | + | 0.184555i | ||||
\(536\) | −43.6685 | + | 4.98428i | −1.88619 | + | 0.215288i | ||||
\(537\) | −20.5177 | + | 24.4521i | −0.885406 | + | 1.05519i | ||||
\(538\) | −0.388953 | + | 19.1621i | −0.0167689 | + | 0.826135i | ||||
\(539\) | 4.68995 | − | 17.5031i | 0.202010 | − | 0.753913i | ||||
\(540\) | 71.4691 | − | 55.1864i | 3.07554 | − | 2.37485i | ||||
\(541\) | 18.4992 | + | 39.6717i | 0.795344 | + | 1.70562i | 0.704443 | + | 0.709760i | \(0.251197\pi\) |
0.0909004 | + | 0.995860i | \(0.471026\pi\) | |||||||
\(542\) | −1.99340 | + | 0.490998i | −0.0856241 | + | 0.0210902i | ||||
\(543\) | 0.748957 | + | 0.432410i | 0.0321408 | + | 0.0185565i | ||||
\(544\) | 12.4553 | − | 4.33395i | 0.534018 | − | 0.185817i | ||||
\(545\) | −34.6420 | + | 6.10832i | −1.48390 | + | 0.261652i | ||||
\(546\) | −1.43378 | + | 13.2783i | −0.0613599 | + | 0.568261i | ||||
\(547\) | −11.5663 | − | 1.01192i | −0.494540 | − | 0.0432666i | −0.162842 | − | 0.986652i | \(-0.552066\pi\) |
−0.331698 | + | 0.943386i | \(0.607622\pi\) | |||||||
\(548\) | −21.1573 | + | 33.4344i | −0.903797 | + | 1.42825i | ||||
\(549\) | 21.5760 | − | 46.2699i | 0.920842 | − | 1.97475i | ||||
\(550\) | 6.27425 | + | 1.23811i | 0.267535 | + | 0.0527930i | ||||
\(551\) | 2.83263 | − | 25.4731i | 0.120674 | − | 1.08519i | ||||
\(552\) | 13.9023 | + | 9.19770i | 0.591720 | + | 0.391480i | ||||
\(553\) | −3.11620 | + | 1.13420i | −0.132514 | + | 0.0482312i | ||||
\(554\) | 8.84372 | − | 22.8444i | 0.375734 | − | 0.970566i | ||||
\(555\) | 68.7621 | + | 6.01590i | 2.91879 | + | 0.255361i | ||||
\(556\) | 12.4253 | + | 3.87617i | 0.526952 | + | 0.164386i | ||||
\(557\) | 15.3168 | − | 21.8747i | 0.648994 | − | 0.926860i | −0.350960 | − | 0.936390i | \(-0.614145\pi\) |
0.999955 | + | 0.00953034i | \(0.00303365\pi\) | |||||||
\(558\) | 16.1383 | + | 7.92803i | 0.683189 | + | 0.335620i | ||||
\(559\) | −14.0536 | + | 24.3416i | −0.594406 | + | 1.02954i | ||||
\(560\) | 8.16692 | + | 2.91636i | 0.345115 | + | 0.123239i | ||||
\(561\) | 7.71199 | − | 21.1885i | 0.325600 | − | 0.894580i | ||||
\(562\) | 8.10116 | − | 0.543357i | 0.341727 | − | 0.0229201i | ||||
\(563\) | −2.16281 | + | 8.07171i | −0.0911515 | + | 0.340182i | −0.996408 | − | 0.0846836i | \(-0.973012\pi\) |
0.905256 | + | 0.424866i | \(0.139679\pi\) | |||||||
\(564\) | 69.2153 | − | 44.3916i | 2.91449 | − | 1.86923i | ||||
\(565\) | 0.0969865 | + | 1.10856i | 0.00408025 | + | 0.0466375i | ||||
\(566\) | 12.1411 | + | 22.0506i | 0.510327 | + | 0.926856i | ||||
\(567\) | 5.04370 | − | 28.6043i | 0.211816 | − | 1.20127i | ||||
\(568\) | −4.66345 | − | 7.60663i | −0.195674 | − | 0.319167i | ||||
\(569\) | −18.9211 | −0.793215 | −0.396608 | − | 0.917988i | \(-0.629813\pi\) | ||||
−0.396608 | + | 0.917988i | \(0.629813\pi\) | |||||||
\(570\) | −24.4767 | + | 47.0030i | −1.02521 | + | 1.96874i | ||||
\(571\) | −7.43419 | − | 7.43419i | −0.311111 | − | 0.311111i | 0.534229 | − | 0.845340i | \(-0.320602\pi\) |
−0.845340 | + | 0.534229i | \(0.820602\pi\) | |||||||
\(572\) | 0.778839 | − | 19.1771i | 0.0325649 | − | 0.801837i | ||||
\(573\) | −39.7822 | − | 56.8148i | −1.66192 | − | 2.37347i | ||||
\(574\) | 3.47295 | + | 1.00654i | 0.144958 | + | 0.0420122i | ||||
\(575\) | −1.77121 | + | 2.11084i | −0.0738644 | + | 0.0880281i | ||||
\(576\) | −55.3494 | + | 35.9759i | −2.30622 | + | 1.49900i | ||||
\(577\) | −19.7269 | − | 34.1681i | −0.821244 | − | 1.42244i | −0.904757 | − | 0.425929i | \(-0.859947\pi\) |
0.0835132 | − | 0.996507i | \(-0.473386\pi\) | |||||||
\(578\) | −16.3188 | + | 1.09453i | −0.678772 | + | 0.0455263i | ||||
\(579\) | 0.0528750 | − | 0.0246560i | 0.00219741 | − | 0.00102467i | ||||
\(580\) | 22.2827 | + | 20.2940i | 0.925240 | + | 0.842662i | ||||
\(581\) | −0.328673 | − | 1.22662i | −0.0136356 | − | 0.0508889i | ||||
\(582\) | −15.0734 | − | 44.1839i | −0.624813 | − | 1.83148i | ||||
\(583\) | −28.7696 | + | 5.07286i | −1.19152 | + | 0.210097i | ||||
\(584\) | −13.8773 | + | 25.5710i | −0.574246 | + | 1.05814i | ||||
\(585\) | 53.9175 | − | 45.2422i | 2.22922 | − | 1.87053i | ||||
\(586\) | −7.94206 | − | 3.07460i | −0.328084 | − | 0.127010i | ||||
\(587\) | −12.0162 | − | 5.60326i | −0.495963 | − | 0.231271i | 0.158509 | − | 0.987358i | \(-0.449331\pi\) |
−0.654472 | + | 0.756086i | \(0.727109\pi\) | |||||||
\(588\) | −38.9018 | + | 16.2525i | −1.60428 | + | 0.670242i | ||||
\(589\) | −6.71427 | − | 0.157677i | −0.276657 | − | 0.00649697i | ||||
\(590\) | 2.60872 | − | 1.74884i | 0.107399 | − | 0.0719985i | ||||
\(591\) | 25.3875 | − | 9.24031i | 1.04430 | − | 0.380096i | ||||
\(592\) | −31.6619 | − | 5.38440i | −1.30130 | − | 0.221297i | ||||
\(593\) | 12.4368 | − | 10.4357i | 0.510718 | − | 0.428544i | −0.350663 | − | 0.936502i | \(-0.614044\pi\) |
0.861382 | + | 0.507958i | \(0.169599\pi\) | |||||||
\(594\) | −7.71177 | + | 71.4195i | −0.316418 | + | 2.93038i | ||||
\(595\) | 4.14020 | + | 2.89900i | 0.169732 | + | 0.118848i | ||||
\(596\) | 2.74095 | − | 3.59467i | 0.112274 | − | 0.147243i | ||||
\(597\) | 48.0767 | − | 12.8821i | 1.96765 | − | 0.527229i | ||||
\(598\) | 7.07633 | + | 4.27930i | 0.289372 | + | 0.174994i | ||||
\(599\) | 2.19721 | − | 6.03678i | 0.0897755 | − | 0.246656i | −0.886677 | − | 0.462390i | \(-0.846992\pi\) |
0.976452 | + | 0.215734i | \(0.0692143\pi\) | |||||||
\(600\) | −6.64188 | − | 13.3149i | −0.271154 | − | 0.543577i | ||||
\(601\) | −4.87754 | − | 8.44815i | −0.198959 | − | 0.344607i | 0.749232 | − | 0.662308i | \(-0.230423\pi\) |
−0.948191 | + | 0.317700i | \(0.897089\pi\) | |||||||
\(602\) | 10.1012 | + | 0.205035i | 0.411694 | + | 0.00835659i | ||||
\(603\) | 127.739 | − | 11.1757i | 5.20193 | − | 0.455110i | ||||
\(604\) | −40.2482 | + | 12.8250i | −1.63767 | + | 0.521840i | ||||
\(605\) | 5.63875 | − | 3.94829i | 0.229248 | − | 0.160521i | ||||
\(606\) | 18.1019 | + | 13.2306i | 0.735339 | + | 0.537455i | ||||
\(607\) | 1.45340 | 0.0589916 | 0.0294958 | − | 0.999565i | \(-0.490610\pi\) | ||||
0.0294958 | + | 0.999565i | \(0.490610\pi\) | |||||||
\(608\) | 13.1247 | − | 20.8744i | 0.532277 | − | 0.846570i | ||||
\(609\) | 16.6846 | 0.676093 | ||||||||
\(610\) | −18.1042 | − | 13.2322i | −0.733017 | − | 0.535757i | ||||
\(611\) | 33.4154 | − | 23.3977i | 1.35184 | − | 0.946570i | ||||
\(612\) | −36.6584 | + | 11.6811i | −1.48183 | + | 0.472180i | ||||
\(613\) | 37.0237 | − | 3.23915i | 1.49537 | − | 0.130828i | 0.690092 | − | 0.723722i | \(-0.257570\pi\) |
0.805281 | + | 0.592894i | \(0.202015\pi\) | |||||||
\(614\) | −20.5864 | − | 0.417864i | −0.830800 | − | 0.0168636i | ||||
\(615\) | −12.9919 | − | 22.5026i | −0.523883 | − | 0.907391i | ||||
\(616\) | −6.17352 | + | 3.07955i | −0.248738 | + | 0.124079i | ||||
\(617\) | 6.06492 | − | 16.6632i | 0.244164 | − | 0.670836i | −0.755709 | − | 0.654908i | \(-0.772707\pi\) |
0.999873 | − | 0.0159284i | \(-0.00507037\pi\) | |||||||
\(618\) | 14.9502 | + | 9.04091i | 0.601385 | + | 0.363679i | ||||
\(619\) | −23.6658 | + | 6.34123i | −0.951209 | + | 0.254876i | −0.700875 | − | 0.713284i | \(-0.747207\pi\) |
−0.250334 | + | 0.968160i | \(0.580540\pi\) | |||||||
\(620\) | 4.78871 | − | 6.28025i | 0.192319 | − | 0.252221i | ||||
\(621\) | −25.3538 | − | 17.7529i | −1.01741 | − | 0.712400i | ||||
\(622\) | −2.33152 | + | 21.5925i | −0.0934855 | + | 0.865779i | ||||
\(623\) | −2.29917 | + | 1.92923i | −0.0921143 | + | 0.0772930i | ||||
\(624\) | −36.4230 | + | 25.8354i | −1.45809 | + | 1.03424i | ||||
\(625\) | −28.5497 | + | 10.3912i | −1.14199 | + | 0.415650i | ||||
\(626\) | −2.25347 | + | 1.51068i | −0.0900668 | + | 0.0603791i | ||||
\(627\) | −13.4853 | − | 39.9444i | −0.538550 | − | 1.59523i | ||||
\(628\) | 17.4712 | − | 7.29918i | 0.697178 | − | 0.291269i | ||||
\(629\) | −16.9645 | − | 7.91069i | −0.676420 | − | 0.315420i | ||||
\(630\) | −23.5937 | − | 9.13377i | −0.939994 | − | 0.363898i | ||||
\(631\) | −11.7341 | + | 9.84607i | −0.467127 | + | 0.391966i | −0.845745 | − | 0.533587i | \(-0.820844\pi\) |
0.378619 | + | 0.925553i | \(0.376399\pi\) | |||||||
\(632\) | −9.74535 | − | 5.28876i | −0.387649 | − | 0.210376i | ||||
\(633\) | −5.15722 | + | 0.909357i | −0.204981 | + | 0.0361437i | ||||
\(634\) | 5.33654 | + | 15.6427i | 0.211941 | + | 0.621252i | ||||
\(635\) | −5.39059 | − | 20.1180i | −0.213919 | − | 0.798357i | ||||
\(636\) | 50.2520 | + | 45.7669i | 1.99262 | + | 1.81478i | ||||
\(637\) | −18.9559 | + | 8.83928i | −0.751060 | + | 0.350225i | ||||
\(638\) | −23.9233 | + | 1.60457i | −0.947132 | + | 0.0635256i | ||||
\(639\) | 13.0152 | + | 22.5429i | 0.514872 | + | 0.891785i | ||||
\(640\) | 10.7963 | + | 26.9107i | 0.426761 | + | 1.06374i | ||||
\(641\) | −9.49722 | + | 11.3184i | −0.375118 | + | 0.447048i | −0.920267 | − | 0.391291i | \(-0.872029\pi\) |
0.545149 | + | 0.838339i | \(0.316473\pi\) | |||||||
\(642\) | 43.7035 | + | 12.6663i | 1.72484 | + | 0.499899i | ||||
\(643\) | 18.5350 | + | 26.4708i | 0.730951 | + | 1.04391i | 0.996804 | + | 0.0798922i | \(0.0254576\pi\) |
−0.265853 | + | 0.964014i | \(0.585654\pi\) | |||||||
\(644\) | 0.120624 | − | 2.97010i | 0.00475327 | − | 0.117038i | ||||
\(645\) | −51.3377 | − | 51.3377i | −2.02142 | − | 2.02142i | ||||
\(646\) | 10.5968 | − | 9.70746i | 0.416927 | − | 0.381935i | ||||
\(647\) | 29.0955 | 1.14386 | 0.571932 | − | 0.820301i | \(-0.306194\pi\) | ||||
0.571932 | + | 0.820301i | \(0.306194\pi\) | |||||||
\(648\) | 82.7950 | − | 50.7597i | 3.25250 | − | 1.99403i | ||||
\(649\) | −0.433869 | + | 2.46060i | −0.0170309 | + | 0.0965868i | ||||
\(650\) | −3.56033 | − | 6.46629i | −0.139648 | − | 0.253629i | ||||
\(651\) | −0.381048 | − | 4.35540i | −0.0149345 | − | 0.170702i | ||||
\(652\) | −17.2886 | + | 11.0881i | −0.677073 | + | 0.434245i | ||||
\(653\) | 6.84755 | − | 25.5554i | 0.267965 | − | 1.00006i | −0.692445 | − | 0.721471i | \(-0.743466\pi\) |
0.960410 | − | 0.278590i | \(-0.0898670\pi\) | |||||||
\(654\) | −64.9642 | + | 4.35725i | −2.54030 | + | 0.170382i | ||||
\(655\) | −13.0446 | + | 35.8397i | −0.509695 | + | 1.40037i | ||||
\(656\) | 5.17602 | + | 10.9259i | 0.202090 | + | 0.426586i | ||||
\(657\) | 42.4397 | − | 73.5077i | 1.65573 | − | 2.86781i | ||||
\(658\) | −13.1608 | − | 6.46530i | −0.513060 | − | 0.252044i | ||||
\(659\) | −5.03601 | + | 7.19217i | −0.196175 | + | 0.280167i | −0.905173 | − | 0.425044i | \(-0.860259\pi\) |
0.708998 | + | 0.705211i | \(0.249148\pi\) | |||||||
\(660\) | 47.3269 | + | 14.7639i | 1.84220 | + | 0.574686i | ||||
\(661\) | −5.47190 | − | 0.478729i | −0.212832 | − | 0.0186204i | −0.0197590 | − | 0.999805i | \(-0.506290\pi\) |
−0.193073 | + | 0.981184i | \(0.561845\pi\) | |||||||
\(662\) | 3.05765 | − | 7.89830i | 0.118839 | − | 0.306976i | ||||
\(663\) | −24.4567 | + | 8.90150i | −0.949818 | + | 0.345706i | ||||
\(664\) | 2.34281 | − | 3.54115i | 0.0909188 | − | 0.137423i | ||||
\(665\) | 9.43088 | − | 0.602384i | 0.365714 | − | 0.0233594i | ||||
\(666\) | 91.9248 | + | 18.1396i | 3.56201 | + | 0.702897i | ||||
\(667\) | 4.36605 | − | 9.36302i | 0.169054 | − | 0.362538i | ||||
\(668\) | 19.4674 | − | 30.7639i | 0.753216 | − | 1.19029i | ||||
\(669\) | 44.7710 | + | 3.91696i | 1.73095 | + | 0.151438i | ||||
\(670\) | 6.04639 | − | 55.9963i | 0.233592 | − | 2.16332i | ||||
\(671\) | 17.5686 | − | 3.09782i | 0.678228 | − | 0.119590i | ||||
\(672\) | 14.4498 | + | 6.98971i | 0.557412 | + | 0.269634i | ||||
\(673\) | −4.91601 | − | 2.83826i | −0.189498 | − | 0.109407i | 0.402249 | − | 0.915530i | \(-0.368228\pi\) |
−0.591748 | + | 0.806123i | \(0.701562\pi\) | |||||||
\(674\) | −2.74983 | + | 0.677314i | −0.105919 | + | 0.0260892i | ||||
\(675\) | 11.6760 | + | 25.0393i | 0.449410 | + | 0.963762i | ||||
\(676\) | 3.04465 | − | 2.35099i | 0.117102 | − | 0.0904228i | ||||
\(677\) | 2.27069 | − | 8.47433i | 0.0872697 | − | 0.325695i | −0.908465 | − | 0.417962i | \(-0.862745\pi\) |
0.995734 | + | 0.0922669i | \(0.0294113\pi\) | |||||||
\(678\) | −0.0418001 | + | 2.05932i | −0.00160532 | + | 0.0790876i | ||||
\(679\) | −5.35114 | + | 6.37724i | −0.205358 | + | 0.244736i | ||||
\(680\) | 1.91643 | + | 16.7903i | 0.0734917 | + | 0.643880i | ||||
\(681\) | −47.8138 | − | 8.43086i | −1.83223 | − | 0.323071i | ||||
\(682\) | 0.965232 | + | 6.20838i | 0.0369606 | + | 0.237731i | ||||
\(683\) | −26.9765 | + | 26.9765i | −1.03223 | + | 1.03223i | −0.0327626 | + | 0.999463i | \(0.510431\pi\) |
−0.999463 | + | 0.0327626i | \(0.989569\pi\) | |||||||
\(684\) | −39.8834 | + | 59.8684i | −1.52498 | + | 2.28913i | ||||
\(685\) | −35.8516 | − | 35.8516i | −1.36982 | − | 1.36982i | ||||
\(686\) | 12.8306 | + | 9.37782i | 0.489876 | + | 0.358047i | ||||
\(687\) | −11.6411 | + | 66.0198i | −0.444134 | + | 2.51881i | ||||
\(688\) | 21.8712 | + | 25.7453i | 0.833831 | + | 0.981529i | ||||
\(689\) | 25.8306 | + | 21.6744i | 0.984066 | + | 0.825729i | ||||
\(690\) | −15.4078 | + | 14.7948i | −0.586566 | + | 0.563227i | ||||
\(691\) | 33.9275 | + | 9.09084i | 1.29066 | + | 0.345832i | 0.837912 | − | 0.545806i | \(-0.183776\pi\) |
0.452750 | + | 0.891637i | \(0.350443\pi\) | |||||||
\(692\) | −18.0741 | − | 2.32357i | −0.687073 | − | 0.0883290i | ||||
\(693\) | 18.2415 | − | 8.50615i | 0.692937 | − | 0.323122i | ||||
\(694\) | −7.22479 | + | 11.9470i | −0.274249 | + | 0.453503i | ||||
\(695\) | −8.33953 | + | 14.4445i | −0.316336 | + | 0.547911i | ||||
\(696\) | 36.9735 | + | 41.7741i | 1.40148 | + | 1.58344i | ||||
\(697\) | 1.22358 | + | 6.93928i | 0.0463465 | + | 0.262844i | ||||
\(698\) | −30.2608 | + | 24.3627i | −1.14539 | + | 0.922141i | ||||
\(699\) | −3.27178 | + | 37.3967i | −0.123750 | + | 1.41447i | ||||
\(700\) | −1.41884 | + | 2.24215i | −0.0536270 | + | 0.0847454i | ||||
\(701\) | −13.3901 | − | 6.24392i | −0.505739 | − | 0.235830i | 0.152966 | − | 0.988231i | \(-0.451117\pi\) |
−0.658705 | + | 0.752402i | \(0.728895\pi\) | |||||||
\(702\) | 68.8708 | − | 46.1697i | 2.59936 | − | 1.74256i | ||||
\(703\) | −34.0090 | + | 8.26202i | −1.28267 | + | 0.311608i | ||||
\(704\) | −21.3911 | − | 8.63259i | −0.806208 | − | 0.325353i | ||||
\(705\) | 36.0385 | + | 99.0149i | 1.35729 | + | 3.72912i | ||||
\(706\) | −7.81524 | + | 3.45299i | −0.294130 | + | 0.129955i | ||||
\(707\) | 0.348473 | − | 3.98307i | 0.0131057 | − | 0.149799i | ||||
\(708\) | 5.14825 | − | 2.69995i | 0.193483 | − | 0.101470i | ||||
\(709\) | 4.82778 | + | 3.38045i | 0.181311 | + | 0.126955i | 0.660709 | − | 0.750642i | \(-0.270256\pi\) |
−0.479397 | + | 0.877598i | \(0.659145\pi\) | |||||||
\(710\) | 10.8211 | − | 3.69163i | 0.406108 | − | 0.138544i | ||||
\(711\) | 28.0144 | + | 16.1741i | 1.05062 | + | 0.606578i | ||||
\(712\) | −9.92535 | − | 1.48132i | −0.371968 | − | 0.0555147i | ||||
\(713\) | −2.54387 | − | 0.925893i | −0.0952687 | − | 0.0346750i | ||||
\(714\) | 7.04301 | + | 6.15763i | 0.263578 | + | 0.230443i | ||||
\(715\) | 23.7565 | + | 6.36554i | 0.888443 | + | 0.238058i | ||||
\(716\) | 10.2746 | + | 16.0202i | 0.383981 | + | 0.598702i | ||||
\(717\) | 28.9127 | − | 2.52953i | 1.07976 | − | 0.0944671i | ||||
\(718\) | 10.7583 | + | 3.11801i | 0.401496 | + | 0.116363i | ||||
\(719\) | 42.4296 | + | 7.48148i | 1.58236 | + | 0.279012i | 0.894579 | − | 0.446910i | \(-0.147475\pi\) |
0.687777 | + | 0.725922i | \(0.258587\pi\) | |||||||
\(720\) | −29.4155 | − | 79.3134i | −1.09625 | − | 2.95584i | ||||
\(721\) | − | 3.11554i | − | 0.116029i | ||||||
\(722\) | 4.13548 | − | 26.5499i | 0.153907 | − | 0.988085i | ||||
\(723\) | −53.0920 | + | 53.0920i | −1.97451 | + | 1.97451i | ||||
\(724\) | 0.379108 | − | 0.349517i | 0.0140894 | − | 0.0129897i | ||||
\(725\) | −7.55392 | + | 5.28931i | −0.280545 | + | 0.196440i | ||||
\(726\) | 11.1613 | − | 6.14543i | 0.414236 | − | 0.228078i | ||||
\(727\) | −1.04939 | − | 0.880539i | −0.0389196 | − | 0.0326574i | 0.623120 | − | 0.782126i | \(-0.285865\pi\) |
−0.662040 | + | 0.749469i | \(0.730309\pi\) | |||||||
\(728\) | 7.30327 | + | 3.17381i | 0.270677 | + | 0.117629i | ||||
\(729\) | −91.8476 | + | 53.0282i | −3.40176 | + | 1.96401i | ||||
\(730\) | −28.0675 | − | 24.5391i | −1.03882 | − | 0.908232i | ||||
\(731\) | 8.32071 | + | 17.8438i | 0.307753 | + | 0.659978i | ||||
\(732\) | −30.6871 | − | 27.9483i | −1.13423 | − | 1.03300i | ||||
\(733\) | −43.7651 | + | 11.7268i | −1.61650 | + | 0.433140i | −0.949971 | − | 0.312338i | \(-0.898888\pi\) |
−0.666530 | + | 0.745478i | \(0.732221\pi\) | |||||||
\(734\) | 2.32275 | + | 1.14106i | 0.0857341 | + | 0.0421174i | ||||
\(735\) | −9.38148 | − | 53.2050i | −0.346041 | − | 1.96250i | ||||
\(736\) | 7.70371 | − | 6.27982i | 0.283963 | − | 0.231477i | ||||
\(737\) | 28.8011 | + | 34.3238i | 1.06090 | + | 1.26433i | ||||
\(738\) | −14.2546 | − | 32.2628i | −0.524719 | − | 1.18761i | ||||
\(739\) | 16.2258 | − | 34.7963i | 0.596875 | − | 1.28000i | −0.343272 | − | 0.939236i | \(-0.611535\pi\) |
0.940148 | − | 0.340768i | \(-0.110687\pi\) | |||||||
\(740\) | 15.6337 | − | 38.0702i | 0.574705 | − | 1.39949i | ||||
\(741\) | −25.3137 | + | 41.5597i | −0.929923 | + | 1.52674i | ||||
\(742\) | 2.34652 | − | 11.8913i | 0.0861433 | − | 0.436542i | ||||
\(743\) | 8.38701 | + | 23.0431i | 0.307689 | + | 0.845370i | 0.993106 | + | 0.117219i | \(0.0373979\pi\) |
−0.685417 | + | 0.728151i | \(0.740380\pi\) | |||||||
\(744\) | 10.0604 | − | 10.6058i | 0.368834 | − | 0.388826i | ||||
\(745\) | 3.72345 | + | 4.43744i | 0.136417 | + | 0.162575i | ||||
\(746\) | 20.8816 | − | 16.8115i | 0.764529 | − | 0.615514i | ||||
\(747\) | −7.10511 | + | 10.1472i | −0.259962 | + | 0.371265i | ||||
\(748\) | −10.6909 | − | 8.15182i | −0.390897 | − | 0.298060i | ||||
\(749\) | −2.10007 | − | 7.83757i | −0.0767349 | − | 0.286379i | ||||
\(750\) | −40.5106 | + | 9.97822i | −1.47924 | + | 0.364353i | ||||
\(751\) | −26.0232 | − | 9.47168i | −0.949601 | − | 0.345627i | −0.179651 | − | 0.983730i | \(-0.557497\pi\) |
−0.769950 | + | 0.638104i | \(0.779719\pi\) | |||||||
\(752\) | −12.9771 | − | 47.2786i | −0.473228 | − | 1.72407i | ||||
\(753\) | −2.74060 | + | 1.58228i | −0.0998729 | + | 0.0576616i | ||||
\(754\) | 19.1682 | + | 19.9625i | 0.698066 | + | 0.726992i | ||||
\(755\) | −4.71779 | − | 53.9246i | −0.171698 | − | 1.96252i | ||||
\(756\) | −26.4782 | − | 13.6814i | −0.963002 | − | 0.497589i | ||||
\(757\) | 14.6686 | + | 20.9490i | 0.533141 | + | 0.761404i | 0.991881 | − | 0.127167i | \(-0.0405883\pi\) |
−0.458741 | + | 0.888570i | \(0.651699\pi\) | |||||||
\(758\) | 32.8931 | − | 5.11397i | 1.19473 | − | 0.185748i | ||||
\(759\) | − | 16.9935i | − | 0.616827i | ||||||
\(760\) | 22.4073 | + | 22.2777i | 0.812799 | + | 0.808097i | ||||
\(761\) | 53.7453i | 1.94826i | 0.225979 | + | 0.974132i | \(0.427442\pi\) | ||||
−0.225979 | + | 0.974132i | \(0.572558\pi\) | |||||||
\(762\) | −5.92249 | − | 38.0935i | −0.214549 | − | 1.37998i | ||||
\(763\) | 6.65960 | + | 9.51090i | 0.241094 | + | 0.344318i | ||||
\(764\) | −39.4020 | + | 12.5553i | −1.42551 | + | 0.454236i | ||||
\(765\) | −4.29700 | − | 49.1150i | −0.155358 | − | 1.77576i | ||||
\(766\) | 6.52482 | − | 6.26521i | 0.235751 | − | 0.226371i | ||||
\(767\) | 2.49756 | − | 1.44197i | 0.0901817 | − | 0.0520665i | ||||
\(768\) | 14.5206 | + | 51.6681i | 0.523969 | + | 1.86441i | ||||
\(769\) | 5.21063 | + | 1.89651i | 0.187900 | + | 0.0683901i | 0.434257 | − | 0.900789i | \(-0.357011\pi\) |
−0.246356 | + | 0.969179i | \(0.579233\pi\) | |||||||
\(770\) | −2.11435 | − | 8.58404i | −0.0761958 | − | 0.309347i | ||||
\(771\) | 0.934633 | + | 3.48810i | 0.0336600 | + | 0.125621i | ||||
\(772\) | −0.00464530 | − | 0.0344737i | −0.000167188 | − | 0.00124074i | ||||
\(773\) | −15.8072 | + | 22.5750i | −0.568544 | + | 0.811965i | −0.995741 | − | 0.0921936i | \(-0.970612\pi\) |
0.427197 | + | 0.904159i | \(0.359501\pi\) | |||||||
\(774\) | −61.8041 | − | 76.7668i | −2.22150 | − | 2.75933i | ||||
\(775\) | 1.55326 | + | 1.85110i | 0.0557947 | + | 0.0664936i | ||||
\(776\) | −27.8253 | + | 0.734220i | −0.998871 | + | 0.0263570i | ||||
\(777\) | −7.79223 | − | 21.4090i | −0.279545 | − | 0.768043i | ||||
\(778\) | −30.9843 | − | 6.11418i | −1.11084 | − | 0.219204i | ||||
\(779\) | 9.89083 | + | 8.70316i | 0.354376 | + | 0.311823i | ||||
\(780\) | −22.0591 | − | 52.8003i | −0.789841 | − | 1.89055i | ||||
\(781\) | −3.84407 | + | 8.24363i | −0.137552 | + | 0.294980i | ||||
\(782\) | 5.29855 | − | 2.34105i | 0.189476 | − | 0.0837157i | ||||
\(783\) | −66.5813 | − | 79.3485i | −2.37942 | − | 2.83568i | ||||
\(784\) | 2.34324 | + | 25.0282i | 0.0836870 | + | 0.893864i | ||||
\(785\) | 4.21333 | + | 23.8950i | 0.150380 | + | 0.852848i | ||||
\(786\) | −31.1272 | + | 63.3625i | −1.11027 | + | 2.26007i | ||||
\(787\) | −10.5013 | + | 2.81381i | −0.374331 | + | 0.100302i | −0.441079 | − | 0.897468i | \(-0.645404\pi\) |
0.0667483 | + | 0.997770i | \(0.478738\pi\) | |||||||
\(788\) | −0.751606 | − | 16.0910i | −0.0267749 | − | 0.573217i | ||||
\(789\) | 16.8484 | + | 36.1316i | 0.599820 | + | 1.28632i | ||||
\(790\) | 9.35207 | − | 10.6968i | 0.332732 | − | 0.380574i | ||||
\(791\) | 0.318091 | − | 0.183650i | 0.0113100 | − | 0.00652983i | ||||
\(792\) | 61.7210 | + | 26.8223i | 2.19316 | + | 0.953090i | ||||
\(793\) | −15.7738 | − | 13.2358i | −0.560144 | − | 0.470017i | ||||
\(794\) | −11.5360 | − | 20.9517i | −0.409397 | − | 0.743547i | ||||
\(795\) | −71.3471 | + | 49.9578i | −2.53042 | + | 1.77182i | ||||
\(796\) | 1.20425 | − | 29.6519i | 0.0426835 | − | 1.05098i | ||||
\(797\) | 34.5147 | − | 34.5147i | 1.22257 | − | 1.22257i | 0.255861 | − | 0.966713i | \(-0.417641\pi\) |
0.966713 | − | 0.255861i | \(-0.0823591\pi\) | |||||||
\(798\) | 17.4750 | + | 0.765455i | 0.618609 | + | 0.0270968i | ||||
\(799\) | − | 28.5743i | − | 1.01089i | ||||||
\(800\) | −8.75798 | + | 1.41626i | −0.309641 | + | 0.0500724i | ||||
\(801\) | 28.8324 | + | 5.08393i | 1.01874 | + | 0.179632i | ||||
\(802\) | −2.28253 | + | 7.87558i | −0.0805989 | + | 0.278096i | ||||
\(803\) | 29.5467 | − | 2.58500i | 1.04268 | − | 0.0912227i | ||||
\(804\) | 22.2539 | − | 101.846i | 0.784835 | − | 3.59185i | ||||
\(805\) | 3.67934 | + | 0.985877i | 0.129680 | + | 0.0347476i | ||||
\(806\) | 4.77331 | − | 5.45965i | 0.168133 | − | 0.192308i | ||||
\(807\) | −42.7181 | − | 15.5481i | −1.50375 | − | 0.547320i | ||||
\(808\) | 10.7449 | − | 7.95411i | 0.378003 | − | 0.279825i | ||||
\(809\) | 40.4202 | + | 23.3366i | 1.42110 | + | 0.820472i | 0.996393 | − | 0.0848586i | \(-0.0270439\pi\) |
0.424707 | + | 0.905331i | \(0.360377\pi\) | |||||||
\(810\) | 40.1818 | + | 117.783i | 1.41185 | + | 4.13847i | ||||
\(811\) | −25.3228 | − | 17.7312i | −0.889203 | − | 0.622627i | 0.0371387 | − | 0.999310i | \(-0.488176\pi\) |
−0.926342 | + | 0.376683i | \(0.877065\pi\) | |||||||
\(812\) | 2.96254 | − | 9.49663i | 0.103965 | − | 0.333266i | ||||
\(813\) | 0.424401 | − | 4.85092i | 0.0148844 | − | 0.170129i | ||||
\(814\) | 13.2319 | + | 29.9480i | 0.463777 | + | 1.04968i | ||||
\(815\) | −9.00168 | − | 24.7319i | −0.315315 | − | 0.866321i | ||||
\(816\) | 0.190349 | + | 31.2795i | 0.00666353 | + | 1.09500i | ||||
\(817\) | 32.9887 | + | 16.3365i | 1.15413 | + | 0.571541i | ||||
\(818\) | 10.6880 | + | 15.9432i | 0.373697 | + | 0.557440i | ||||
\(819\) | −21.0551 | − | 9.81815i | −0.735724 | − | 0.343074i | ||||
\(820\) | −15.1150 | + | 3.39920i | −0.527839 | + | 0.118705i | ||||
\(821\) | −1.09928 | + | 12.5648i | −0.0383651 | + | 0.438515i | 0.952584 | + | 0.304276i | \(0.0984146\pi\) |
−0.990949 | + | 0.134239i | \(0.957141\pi\) | |||||||
\(822\) | −58.8523 | − | 73.1004i | −2.05271 | − | 2.54967i | ||||
\(823\) | 6.95641 | + | 39.4518i | 0.242485 | + | 1.37520i | 0.826261 | + | 0.563287i | \(0.190464\pi\) |
−0.583776 | + | 0.811915i | \(0.698425\pi\) | |||||||
\(824\) | 7.80054 | − | 6.90413i | 0.271745 | − | 0.240517i | ||||
\(825\) | −7.58440 | + | 13.1366i | −0.264055 | + | 0.457357i | ||||
\(826\) | −0.887055 | − | 0.536433i | −0.0308646 | − | 0.0186649i | ||||
\(827\) | 4.76135 | − | 2.22025i | 0.165568 | − | 0.0772057i | −0.338067 | − | 0.941122i | \(-0.609773\pi\) |
0.503636 | + | 0.863916i | \(0.331995\pi\) | |||||||
\(828\) | −22.9504 | + | 17.7217i | −0.797583 | + | 0.615872i | ||||
\(829\) | 3.82369 | + | 1.02455i | 0.132802 | + | 0.0355842i | 0.324608 | − | 0.945849i | \(-0.394768\pi\) |
−0.191806 | + | 0.981433i | \(0.561434\pi\) | |||||||
\(830\) | 3.76848 | + | 3.92464i | 0.130806 | + | 0.136226i | ||||
\(831\) | 44.5095 | + | 37.3479i | 1.54402 | + | 1.29558i | ||||
\(832\) | 8.23783 | + | 25.3188i | 0.285595 | + | 0.877773i | ||||
\(833\) | −2.54409 | + | 14.4282i | −0.0881475 | + | 0.499909i | ||||
\(834\) | −18.2172 | + | 24.9245i | −0.630810 | + | 0.863066i | ||||
\(835\) | 32.9879 | + | 32.9879i | 1.14159 | + | 1.14159i | ||||
\(836\) | −25.1303 | + | 0.583036i | −0.869149 | + | 0.0201647i | ||||
\(837\) | −19.1928 | + | 19.1928i | −0.663400 | + | 0.663400i | ||||
\(838\) | −42.9803 | + | 6.68225i | −1.48473 | + | 0.230835i | ||||
\(839\) | 21.2832 | + | 3.75279i | 0.734776 | + | 0.129561i | 0.528500 | − | 0.848933i | \(-0.322755\pi\) |
0.206276 | + | 0.978494i | \(0.433866\pi\) | |||||||
\(840\) | −12.8013 | + | 16.1001i | −0.441687 | + | 0.555505i | ||||
\(841\) | 3.58274 | − | 4.26974i | 0.123543 | − | 0.147232i | ||||
\(842\) | −37.3460 | − | 0.758053i | −1.28703 | − | 0.0261242i | ||||
\(843\) | −4.98440 | + | 18.6020i | −0.171672 | + | 0.640688i | ||||
\(844\) | −0.398130 | + | 3.09688i | −0.0137042 | + | 0.106599i | ||||
\(845\) | 2.08321 | + | 4.46746i | 0.0716646 | + | 0.153685i | ||||
\(846\) | 34.2084 | + | 138.883i | 1.17611 | + | 4.77488i | ||||
\(847\) | −1.96768 | − | 1.13604i | −0.0676102 | − | 0.0390348i | ||||
\(848\) | 34.9727 | − | 20.4763i | 1.20097 | − | 0.703158i | ||||
\(849\) | −58.7984 | + | 10.3677i | −2.01796 | + | 0.355820i | ||||
\(850\) | −5.14079 | − | 0.555095i | −0.176328 | − | 0.0190396i | ||||
\(851\) | −14.0533 | − | 1.22951i | −0.481742 | − | 0.0421470i | ||||
\(852\) | 20.6472 | − | 4.64333i | 0.707361 | − | 0.159078i | ||||
\(853\) | −22.5392 | + | 48.3354i | −0.771726 | + | 1.65497i | −0.0161859 | + | 0.999869i | \(0.505152\pi\) |
−0.755540 | + | 0.655102i | \(0.772625\pi\) | |||||||
\(854\) | −1.43294 | + | 7.26157i | −0.0490340 | + | 0.248486i | ||||
\(855\) | −63.6346 | − | 66.6952i | −2.17626 | − | 2.28093i | ||||
\(856\) | 14.9695 | − | 22.6264i | 0.511648 | − | 0.773353i | ||||
\(857\) | 23.9735 | − | 8.72564i | 0.818919 | − | 0.298062i | 0.101616 | − | 0.994824i | \(-0.467599\pi\) |
0.717303 | + | 0.696762i | \(0.245376\pi\) | |||||||
\(858\) | 42.4534 | + | 16.4349i | 1.44933 | + | 0.561078i | ||||
\(859\) | 51.2204 | + | 4.48121i | 1.74762 | + | 0.152897i | 0.915664 | − | 0.401946i | \(-0.131666\pi\) |
0.831955 | + | 0.554843i | \(0.187221\pi\) | |||||||
\(860\) | −38.3363 | + | 20.1051i | −1.30726 | + | 0.685578i | ||||
\(861\) | −4.91924 | + | 7.02541i | −0.167647 | + | 0.239425i | ||||
\(862\) | 9.56453 | − | 19.4696i | 0.325769 | − | 0.663136i | ||||
\(863\) | 13.2756 | − | 22.9939i | 0.451905 | − | 0.782722i | −0.546599 | − | 0.837394i | \(-0.684078\pi\) |
0.998504 | + | 0.0546718i | \(0.0174113\pi\) | |||||||
\(864\) | −24.4215 | − | 96.6133i | −0.830836 | − | 3.28685i | ||||
\(865\) | 7.98664 | − | 21.9431i | 0.271554 | − | 0.746089i | ||||
\(866\) | −0.390347 | − | 5.81986i | −0.0132645 | − | 0.197767i | ||||
\(867\) | 10.0405 | − | 37.4715i | 0.340992 | − | 1.27260i | ||||
\(868\) | −2.54669 | − | 0.556464i | −0.0864404 | − | 0.0188876i | ||||
\(869\) | 0.985168 | + | 11.2605i | 0.0334195 | + | 0.381987i | ||||
\(870\) | −62.6219 | + | 34.4796i | −2.12308 | + | 1.16897i | ||||
\(871\) | 8.98067 | − | 50.9319i | 0.304298 | − | 1.72576i | ||||
\(872\) | −9.05507 | + | 37.7504i | −0.306643 | + | 1.27839i | ||||
\(873\) | 81.2066 | 2.74843 | ||||||||
\(874\) | 5.00245 | − | 9.60629i | 0.169210 | − | 0.324938i | ||||
\(875\) | 5.26080 | + | 5.26080i | 0.177847 | + | 0.177847i | ||||
\(876\) | −46.7754 | − | 50.7356i | −1.58040 | − | 1.71420i | ||||
\(877\) | 30.0257 | + | 42.8811i | 1.01390 | + | 1.44799i | 0.890144 | + | 0.455680i | \(0.150604\pi\) |
0.123752 | + | 0.992313i | \(0.460507\pi\) | |||||||
\(878\) | 10.0015 | − | 34.5090i | 0.337535 | − | 1.16462i | ||||
\(879\) | 12.9843 | − | 15.4741i | 0.437951 | − | 0.521929i | ||||
\(880\) | 16.8069 | − | 24.3163i | 0.566560 | − | 0.819703i | ||||
\(881\) | −3.01875 | − | 5.22862i | −0.101704 | − | 0.176157i | 0.810683 | − | 0.585486i | \(-0.199096\pi\) |
−0.912387 | + | 0.409329i | \(0.865763\pi\) | |||||||
\(882\) | −4.90781 | − | 73.1728i | −0.165254 | − | 2.46386i | ||||
\(883\) | 27.4471 | − | 12.7988i | 0.923667 | − | 0.430713i | 0.0982024 | − | 0.995166i | \(-0.468691\pi\) |
0.825465 | + | 0.564453i | \(0.190913\pi\) | |||||||
\(884\) | 0.724047 | + | 15.5010i | 0.0243524 | + | 0.521354i | ||||
\(885\) | 1.92803 | + | 7.19551i | 0.0648101 | + | 0.241875i | ||||
\(886\) | −10.7933 | + | 3.68214i | −0.362607 | + | 0.123704i | ||||
\(887\) | 49.0861 | − | 8.65520i | 1.64815 | − | 0.290613i | 0.728997 | − | 0.684517i | \(-0.239987\pi\) |
0.919152 | + | 0.393904i | \(0.128876\pi\) | |||||||
\(888\) | 36.3350 | − | 66.9528i | 1.21932 | − | 2.24679i | ||||
\(889\) | −5.26622 | + | 4.41889i | −0.176623 | + | 0.148205i | ||||
\(890\) | 4.64256 | − | 11.9923i | 0.155619 | − | 0.401983i | ||||
\(891\) | −89.7284 | − | 41.8410i | −3.00602 | − | 1.40173i | ||||
\(892\) | 10.1791 | − | 24.7875i | 0.340821 | − | 0.829949i | ||||
\(893\) | −33.3714 | − | 41.7219i | −1.11673 | − | 1.39617i | ||||
\(894\) | 5.97038 | + | 8.90594i | 0.199679 | + | 0.297859i | ||||
\(895\) | −22.9174 | + | 8.34125i | −0.766044 | + | 0.278817i | ||||
\(896\) | 6.54417 | − | 6.98351i | 0.218625 | − | 0.233303i | ||||
\(897\) | −15.0257 | + | 12.6081i | −0.501694 | + | 0.420971i | ||||
\(898\) | 15.7806 | + | 1.70397i | 0.526606 | + | 0.0568621i | ||||
\(899\) | −7.42130 | − | 5.19645i | −0.247514 | − | 0.173311i | ||||
\(900\) | 25.6508 | − | 3.45643i | 0.855028 | − | 0.115214i | ||||
\(901\) | 22.8148 | − | 6.11321i | 0.760072 | − | 0.203661i | ||||
\(902\) | 6.37785 | − | 10.5465i | 0.212359 | − | 0.351161i | ||||
\(903\) | −8.19612 | + | 22.5187i | −0.272750 | + | 0.749374i | ||||
\(904\) | 1.16471 | + | 0.389447i | 0.0387378 | + | 0.0129528i | ||||
\(905\) | 0.330380 | + | 0.572235i | 0.0109822 | + | 0.0190217i | ||||
\(906\) | 2.03332 | − | 100.173i | 0.0675525 | − | 3.32802i | ||||
\(907\) | −31.8384 | + | 2.78550i | −1.05718 | + | 0.0924911i | −0.602464 | − | 0.798146i | \(-0.705814\pi\) |
−0.454714 | + | 0.890637i | \(0.650259\pi\) | |||||||
\(908\) | −13.2886 | + | 25.7180i | −0.440998 | + | 0.853480i | ||||
\(909\) | −31.9485 | + | 22.3706i | −1.05966 | + | 0.741985i | ||||
\(910\) | −6.02131 | + | 8.23829i | −0.199605 | + | 0.273097i | ||||
\(911\) | 44.9611 | 1.48963 | 0.744814 | − | 0.667272i | \(-0.232538\pi\) | ||||
0.744814 | + | 0.667272i | \(0.232538\pi\) | |||||||
\(912\) | 36.8086 | + | 45.4494i | 1.21886 | + | 1.50498i | ||||
\(913\) | −4.32855 | −0.143254 | ||||||||
\(914\) | 14.0417 | − | 19.2116i | 0.464457 | − | 0.635464i | ||||
\(915\) | 43.5692 | − | 30.5075i | 1.44035 | − | 1.00855i | ||||
\(916\) | 35.5105 | + | 18.3485i | 1.17330 | + | 0.606252i | ||||
\(917\) | 12.5409 | − | 1.09719i | 0.414137 | − | 0.0362323i | ||||
\(918\) | 1.17866 | − | 58.0677i | 0.0389017 | − | 1.91652i | ||||
\(919\) | −8.77704 | − | 15.2023i | −0.289528 | − | 0.501477i | 0.684169 | − | 0.729323i | \(-0.260165\pi\) |
−0.973697 | + | 0.227846i | \(0.926832\pi\) | |||||||
\(920\) | 5.68514 | + | 11.3969i | 0.187434 | + | 0.375745i | ||||
\(921\) | 16.7038 | − | 45.8934i | 0.550410 | − | 1.51224i | ||||
\(922\) | −3.08993 | + | 5.10957i | −0.101762 | + | 0.168275i | ||||
\(923\) | 10.1411 | − | 2.71729i | 0.333797 | − | 0.0894406i | ||||
\(924\) | −2.18523 | − | 16.2171i | −0.0718889 | − | 0.533502i | ||||
\(925\) | 10.3150 | + | 7.22261i | 0.339153 | + | 0.237478i | ||||
\(926\) | −25.0652 | − | 2.70650i | −0.823694 | − | 0.0889412i | ||||
\(927\) | −23.2809 | + | 19.5350i | −0.764645 | + | 0.641613i | ||||
\(928\) | 30.3423 | − | 13.6274i | 0.996035 | − | 0.447340i | ||||
\(929\) | −7.05387 | + | 2.56740i | −0.231430 | + | 0.0842336i | −0.455132 | − | 0.890424i | \(-0.650408\pi\) |
0.223702 | + | 0.974658i | \(0.428186\pi\) | |||||||
\(930\) | 10.4309 | + | 15.5596i | 0.342041 | + | 0.510219i | ||||
\(931\) | 13.1358 | + | 24.0381i | 0.430509 | + | 0.787818i | ||||
\(932\) | 20.7047 | + | 8.50246i | 0.678206 | + | 0.278507i | ||||
\(933\) | −46.6863 | − | 21.7702i | −1.52844 | − | 0.712724i | ||||
\(934\) | 16.3203 | − | 42.1573i | 0.534016 | − | 1.37943i | ||||
\(935\) | 13.1973 | − | 11.0739i | 0.431599 | − | 0.362155i | ||||
\(936\) | −22.0765 | − | 74.4741i | −0.721592 | − | 2.43426i | ||||
\(937\) | −30.2622 | + | 5.33605i | −0.988625 | + | 0.174321i | −0.644501 | − | 0.764603i | \(-0.722935\pi\) |
−0.344123 | + | 0.938924i | \(0.611824\pi\) | |||||||
\(938\) | −17.5944 | + | 6.00236i | −0.574478 | + | 0.195984i | ||||
\(939\) | −1.66548 | − | 6.21564i | −0.0543508 | − | 0.202840i | ||||
\(940\) | 62.7569 | − | 2.93137i | 2.04691 | − | 0.0956106i | ||||
\(941\) | −43.3618 | + | 20.2199i | −1.41355 | + | 0.659151i | −0.971326 | − | 0.237753i | \(-0.923589\pi\) |
−0.442227 | + | 0.896903i | \(0.645812\pi\) | |||||||
\(942\) | 3.00549 | + | 44.8103i | 0.0979242 | + | 1.46000i | ||||
\(943\) | 2.65523 | + | 4.59899i | 0.0864661 | + | 0.149764i | ||||
\(944\) | −0.622643 | − | 3.40972i | −0.0202653 | − | 0.110977i | ||||
\(945\) | 24.5493 | − | 29.2567i | 0.798588 | − | 0.951720i | ||||
\(946\) | 9.58642 | − | 33.0768i | 0.311681 | − | 1.07542i | ||||
\(947\) | 18.3813 | + | 26.2513i | 0.597313 | + | 0.853052i | 0.998003 | − | 0.0631621i | \(-0.0201185\pi\) |
−0.400690 | + | 0.916214i | \(0.631230\pi\) | |||||||
\(948\) | 19.3358 | − | 17.8265i | 0.627998 | − | 0.578979i | ||||
\(949\) | −24.2073 | − | 24.2073i | −0.785803 | − | 0.785803i | ||||
\(950\) | −8.15445 | + | 5.19333i | −0.264565 | + | 0.168494i | ||||
\(951\) | −39.2025 | −1.27123 | ||||||||
\(952\) | 4.75540 | − | 2.91543i | 0.154124 | − | 0.0944896i | ||||
\(953\) | −4.08232 | + | 23.1520i | −0.132239 | + | 0.749967i | 0.844503 | + | 0.535551i | \(0.179896\pi\) |
−0.976742 | + | 0.214416i | \(0.931215\pi\) | |||||||
\(954\) | −103.571 | + | 57.0259i | −3.35322 | + | 1.84628i | ||||
\(955\) | −4.61861 | − | 52.7909i | −0.149455 | − | 1.70827i | ||||
\(956\) | 3.69401 | − | 16.9059i | 0.119473 | − | 0.546774i | ||||
\(957\) | 14.7193 | − | 54.9331i | 0.475807 | − | 1.77573i | ||||
\(958\) | 0.731786 | + | 10.9105i | 0.0236429 | + | 0.352504i | ||||
\(959\) | −5.72374 | + | 15.7259i | −0.184829 | + | 0.507814i | ||||
\(960\) | −68.6787 | + | 3.62694i | −2.21659 | + | 0.117059i | ||||
\(961\) | 14.3130 | − | 24.7908i | 0.461709 | − | 0.799704i | ||||
\(962\) | 16.6629 | − | 33.9190i | 0.537234 | − | 1.09359i | ||||
\(963\) | −45.3985 | + | 64.8358i | −1.46295 | + | 2.08930i | ||||
\(964\) | 20.7922 | + | 39.6464i | 0.669670 | + | 1.27692i | ||||
\(965\) | 0.0444055 | + | 0.00388498i | 0.00142946 | + | 0.000125062i | ||||
\(966\) | 6.57506 | + | 2.54539i | 0.211549 | + | 0.0818967i | ||||
\(967\) | 2.94943 | − | 1.07350i | 0.0948473 | − | 0.0345216i | −0.294161 | − | 0.955756i | \(-0.595040\pi\) |
0.389008 | + | 0.921234i | \(0.372818\pi\) | |||||||
\(968\) | −1.51607 | − | 7.44408i | −0.0487284 | − | 0.239262i | ||||
\(969\) | 13.6764 | + | 31.2227i | 0.439348 | + | 1.00302i | ||||
\(970\) | 6.90541 | − | 34.9940i | 0.221719 | − | 1.12359i | ||||
\(971\) | −0.875568 | + | 1.87766i | −0.0280983 | + | 0.0602570i | −0.919856 | − | 0.392256i | \(-0.871695\pi\) |
0.891758 | + | 0.452513i | \(0.149472\pi\) | |||||||
\(972\) | 27.3498 | + | 121.615i | 0.877245 | + | 3.90079i | ||||
\(973\) | 5.48430 | + | 0.479814i | 0.175819 | + | 0.0153821i | ||||
\(974\) | 21.5834 | + | 2.33054i | 0.691575 | + | 0.0746753i | ||||
\(975\) | 17.2425 | − | 3.04031i | 0.552201 | − | 0.0973680i | ||||
\(976\) | −21.3566 | + | 12.5041i | −0.683609 | + | 0.400248i | ||||
\(977\) | −21.1474 | − | 12.2094i | −0.676564 | − | 0.390614i | 0.121995 | − | 0.992531i | \(-0.461071\pi\) |
−0.798559 | + | 0.601916i | \(0.794404\pi\) | |||||||
\(978\) | −11.6510 | − | 47.3020i | −0.372558 | − | 1.51255i | ||||
\(979\) | 4.32355 | + | 9.27188i | 0.138181 | + | 0.296330i | ||||
\(980\) | −31.9494 | − | 4.10736i | −1.02058 | − | 0.131205i | ||||
\(981\) | 29.3133 | − | 109.399i | 0.935903 | − | 3.49284i | ||||
\(982\) | 23.4561 | + | 0.476114i | 0.748515 | + | 0.0151934i | ||||
\(983\) | −31.0970 | + | 37.0599i | −0.991839 | + | 1.18203i | −0.00855278 | + | 0.999963i | \(0.502722\pi\) |
−0.983287 | + | 0.182065i | \(0.941722\pi\) | |||||||
\(984\) | −28.4911 | + | 3.25194i | −0.908262 | + | 0.103668i | ||||
\(985\) | 20.3284 | + | 3.58445i | 0.647718 | + | 0.114210i | ||||
\(986\) | 19.1558 | − | 2.97819i | 0.610044 | − | 0.0948450i | ||||
\(987\) | 24.5926 | − | 24.5926i | 0.782792 | − | 0.782792i | ||||
\(988\) | 19.1605 | + | 21.7876i | 0.609576 | + | 0.693157i | ||||
\(989\) | 10.4922 | + | 10.4922i | 0.333633 | + | 0.333633i | ||||
\(990\) | −50.8870 | + | 69.6230i | −1.61729 | + | 2.21276i | ||||
\(991\) | −6.40250 | + | 36.3104i | −0.203382 | + | 1.15344i | 0.696584 | + | 0.717476i | \(0.254703\pi\) |
−0.899966 | + | 0.435961i | \(0.856409\pi\) | |||||||
\(992\) | −4.25030 | − | 7.60944i | −0.134947 | − | 0.241600i | ||||
\(993\) | 15.3888 | + | 12.9128i | 0.488350 | + | 0.409774i | ||||
\(994\) | −2.61380 | − | 2.72211i | −0.0829047 | − | 0.0863400i | ||||
\(995\) | 36.7326 | + | 9.84247i | 1.16450 | + | 0.312027i | ||||
\(996\) | 6.15515 | + | 7.97121i | 0.195033 | + | 0.252577i | ||||
\(997\) | 41.2603 | − | 19.2400i | 1.30673 | − | 0.609337i | 0.360476 | − | 0.932768i | \(-0.382614\pi\) |
0.946252 | + | 0.323431i | \(0.104836\pi\) | |||||||
\(998\) | −8.79657 | − | 5.31960i | −0.278450 | − | 0.168389i | ||||
\(999\) | −70.7212 | + | 122.493i | −2.23752 | + | 3.87550i |
(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 | 304.2.bg.a.147.31 | yes | 456 | |
16.11 | odd | 4 | inner | 304.2.bg.a.299.16 | yes | 456 | |
19.15 | odd | 18 | inner | 304.2.bg.a.243.16 | yes | 456 | |
304.91 | even | 36 | inner | 304.2.bg.a.91.31 | ✓ | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bg.a.91.31 | ✓ | 456 | 304.91 | even | 36 | inner | |
304.2.bg.a.147.31 | yes | 456 | 1.1 | even | 1 | trivial | |
304.2.bg.a.243.16 | yes | 456 | 19.15 | odd | 18 | inner | |
304.2.bg.a.299.16 | yes | 456 | 16.11 | odd | 4 | inner |