Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,2,Mod(3,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.h (of order \(18\), degree \(6\), 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: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 65.1 | ||
Root | \(-0.984808 + 0.173648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.65 |
Dual form | 74.2.h.a.41.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | −0.266044 | + | 1.50881i | −0.153601 | + | 0.871114i | 0.806453 | + | 0.591298i | \(0.201384\pi\) |
−0.960054 | + | 0.279815i | \(0.909727\pi\) | |||||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | −1.97937 | + | 2.35892i | −0.885199 | + | 1.05494i | 0.112918 | + | 0.993604i | \(0.463980\pi\) |
−0.998117 | + | 0.0613353i | \(0.980464\pi\) | |||||||
\(6\) | − | 1.53209i | − | 0.625473i | ||||||
\(7\) | 0.153180 | + | 0.128533i | 0.0578965 | + | 0.0485809i | 0.671277 | − | 0.741207i | \(-0.265746\pi\) |
−0.613380 | + | 0.789788i | \(0.710191\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 0.613341 | + | 0.223238i | 0.204447 | + | 0.0744126i | ||||
\(10\) | 1.53967 | − | 2.66679i | 0.486888 | − | 0.843314i | ||||
\(11\) | 2.17174 | + | 3.76157i | 0.654805 | + | 1.13416i | 0.981943 | + | 0.189179i | \(0.0605827\pi\) |
−0.327137 | + | 0.944977i | \(0.606084\pi\) | |||||||
\(12\) | 0.266044 | + | 1.50881i | 0.0768004 | + | 0.435557i | ||||
\(13\) | −1.59735 | − | 4.38867i | −0.443024 | − | 1.21720i | −0.937493 | − | 0.348004i | \(-0.886860\pi\) |
0.494469 | − | 0.869195i | \(-0.335363\pi\) | |||||||
\(14\) | −0.173172 | − | 0.0999810i | −0.0462822 | − | 0.0267210i | ||||
\(15\) | −3.03256 | − | 3.61407i | −0.783005 | − | 0.933149i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 2.32445 | − | 6.38637i | 0.563761 | − | 1.54892i | −0.250316 | − | 0.968164i | \(-0.580534\pi\) |
0.814077 | − | 0.580757i | \(-0.197243\pi\) | |||||||
\(18\) | −0.642788 | − | 0.113341i | −0.151506 | − | 0.0267147i | ||||
\(19\) | 4.07964 | + | 0.719350i | 0.935933 | + | 0.165030i | 0.620757 | − | 0.784003i | \(-0.286825\pi\) |
0.315176 | + | 0.949033i | \(0.397936\pi\) | |||||||
\(20\) | −1.05320 | + | 2.89364i | −0.235502 | + | 0.647038i | ||||
\(21\) | −0.234685 | + | 0.196924i | −0.0512125 | + | 0.0429724i | ||||
\(22\) | −2.79194 | − | 3.32730i | −0.595244 | − | 0.709384i | ||||
\(23\) | −0.896915 | − | 0.517834i | −0.187020 | − | 0.107976i | 0.403567 | − | 0.914950i | \(-0.367770\pi\) |
−0.590587 | + | 0.806974i | \(0.701104\pi\) | |||||||
\(24\) | −0.524005 | − | 1.43969i | −0.106962 | − | 0.293876i | ||||
\(25\) | −0.778357 | − | 4.41428i | −0.155671 | − | 0.882856i | ||||
\(26\) | 2.33516 | + | 4.04462i | 0.457964 | + | 0.793216i | ||||
\(27\) | −2.79813 | + | 4.84651i | −0.538501 | + | 0.932711i | ||||
\(28\) | 0.187903 | + | 0.0683910i | 0.0355103 | + | 0.0129247i | ||||
\(29\) | 1.25937 | − | 0.727100i | 0.233860 | − | 0.135019i | −0.378492 | − | 0.925605i | \(-0.623557\pi\) |
0.612351 | + | 0.790586i | \(0.290224\pi\) | |||||||
\(30\) | 3.61407 | + | 3.03256i | 0.659836 | + | 0.553668i | ||||
\(31\) | 5.10852i | 0.917518i | 0.888561 | + | 0.458759i | \(0.151706\pi\) | ||||
−0.888561 | + | 0.458759i | \(0.848294\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −6.25329 | + | 2.27601i | −1.08856 | + | 0.396202i | ||||
\(34\) | −1.18015 | + | 6.69298i | −0.202395 | + | 1.14784i | ||||
\(35\) | −0.606398 | + | 0.106924i | −0.102500 | + | 0.0180735i | ||||
\(36\) | 0.652704 | 0.108784 | ||||||||
\(37\) | 5.64160 | + | 2.27429i | 0.927473 | + | 0.373891i | ||||
\(38\) | −4.14257 | −0.672014 | ||||||||
\(39\) | 7.04665 | − | 1.24252i | 1.12837 | − | 0.198962i | ||||
\(40\) | 0.534723 | − | 3.03256i | 0.0845471 | − | 0.479491i | ||||
\(41\) | −4.46505 | + | 1.62515i | −0.697324 | + | 0.253805i | −0.666268 | − | 0.745712i | \(-0.732109\pi\) |
−0.0310562 | + | 0.999518i | \(0.509887\pi\) | |||||||
\(42\) | 0.196924 | − | 0.234685i | 0.0303860 | − | 0.0362127i | ||||
\(43\) | − | 0.399970i | − | 0.0609948i | −0.999535 | − | 0.0304974i | \(-0.990291\pi\) | ||
0.999535 | − | 0.0304974i | \(-0.00970913\pi\) | |||||||
\(44\) | 3.32730 | + | 2.79194i | 0.501610 | + | 0.420901i | ||||
\(45\) | −1.74063 | + | 1.00495i | −0.259477 | + | 0.149809i | ||||
\(46\) | 0.973210 | + | 0.354220i | 0.143492 | + | 0.0522268i | ||||
\(47\) | 4.10475 | − | 7.10963i | 0.598739 | − | 1.03705i | −0.394269 | − | 0.918995i | \(-0.629002\pi\) |
0.993008 | − | 0.118051i | \(-0.0376646\pi\) | |||||||
\(48\) | 0.766044 | + | 1.32683i | 0.110569 | + | 0.191511i | ||||
\(49\) | −1.20859 | − | 6.85428i | −0.172656 | − | 0.979182i | ||||
\(50\) | 1.53306 | + | 4.21206i | 0.216808 | + | 0.595675i | ||||
\(51\) | 9.01743 | + | 5.20621i | 1.26269 | + | 0.729016i | ||||
\(52\) | −3.00203 | − | 3.57768i | −0.416307 | − | 0.496135i | ||||
\(53\) | −8.65606 | + | 7.26330i | −1.18900 | + | 0.997690i | −0.189125 | + | 0.981953i | \(0.560565\pi\) |
−0.999876 | + | 0.0157372i | \(0.994990\pi\) | |||||||
\(54\) | 1.91404 | − | 5.25877i | 0.260467 | − | 0.715628i | ||||
\(55\) | −13.1719 | − | 2.32256i | −1.77610 | − | 0.313174i | ||||
\(56\) | −0.196924 | − | 0.0347230i | −0.0263151 | − | 0.00464006i | ||||
\(57\) | −2.17073 | + | 5.96403i | −0.287520 | + | 0.789955i | ||||
\(58\) | −1.11398 | + | 0.934742i | −0.146273 | + | 0.122738i | ||||
\(59\) | −2.69714 | − | 3.21433i | −0.351138 | − | 0.418470i | 0.561347 | − | 0.827581i | \(-0.310283\pi\) |
−0.912485 | + | 0.409111i | \(0.865839\pi\) | |||||||
\(60\) | −4.08576 | − | 2.35892i | −0.527470 | − | 0.304535i | ||||
\(61\) | −3.60153 | − | 9.89514i | −0.461129 | − | 1.26694i | −0.924637 | − | 0.380849i | \(-0.875632\pi\) |
0.463508 | − | 0.886093i | \(-0.346591\pi\) | |||||||
\(62\) | −0.887086 | − | 5.03091i | −0.112660 | − | 0.638927i | ||||
\(63\) | 0.0652579 | + | 0.113030i | 0.00822173 | + | 0.0142404i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 13.5143 | + | 4.91879i | 1.67624 | + | 0.610100i | ||||
\(66\) | 5.76306 | − | 3.32730i | 0.709384 | − | 0.409563i | ||||
\(67\) | 6.67299 | + | 5.59930i | 0.815235 | + | 0.684063i | 0.951851 | − | 0.306561i | \(-0.0991782\pi\) |
−0.136616 | + | 0.990624i | \(0.543623\pi\) | |||||||
\(68\) | − | 6.79623i | − | 0.824164i | ||||||
\(69\) | 1.01993 | − | 1.21551i | 0.122786 | − | 0.146330i | ||||
\(70\) | 0.578618 | − | 0.210600i | 0.0691581 | − | 0.0251715i | ||||
\(71\) | 2.45953 | − | 13.9487i | 0.291893 | − | 1.65541i | −0.387675 | − | 0.921796i | \(-0.626722\pi\) |
0.679569 | − | 0.733612i | \(-0.262167\pi\) | |||||||
\(72\) | −0.642788 | + | 0.113341i | −0.0757532 | + | 0.0133573i | ||||
\(73\) | 7.27588 | 0.851577 | 0.425789 | − | 0.904823i | \(-0.359997\pi\) | ||||
0.425789 | + | 0.904823i | \(0.359997\pi\) | |||||||
\(74\) | −5.95081 | − | 1.26008i | −0.691768 | − | 0.146482i | ||||
\(75\) | 6.86740 | 0.792979 | ||||||||
\(76\) | 4.07964 | − | 0.719350i | 0.467967 | − | 0.0825151i | ||||
\(77\) | −0.150819 | + | 0.855337i | −0.0171874 | + | 0.0974747i | ||||
\(78\) | −6.72384 | + | 2.44728i | −0.761325 | + | 0.277100i | ||||
\(79\) | −4.04665 | + | 4.82261i | −0.455284 | + | 0.542587i | −0.944039 | − | 0.329835i | \(-0.893007\pi\) |
0.488754 | + | 0.872421i | \(0.337451\pi\) | |||||||
\(80\) | 3.07935i | 0.344281i | ||||||||
\(81\) | −5.06805 | − | 4.25260i | −0.563116 | − | 0.472511i | ||||
\(82\) | 4.11502 | − | 2.37581i | 0.454427 | − | 0.262364i | ||||
\(83\) | −14.4861 | − | 5.27251i | −1.59006 | − | 0.578733i | −0.612696 | − | 0.790318i | \(-0.709915\pi\) |
−0.977360 | + | 0.211585i | \(0.932137\pi\) | |||||||
\(84\) | −0.153180 | + | 0.265315i | −0.0167133 | + | 0.0289482i | ||||
\(85\) | 10.4640 | + | 18.1241i | 1.13498 | + | 1.96584i | ||||
\(86\) | 0.0694540 | + | 0.393893i | 0.00748942 | + | 0.0424746i | ||||
\(87\) | 0.762009 | + | 2.09360i | 0.0816959 | + | 0.224458i | ||||
\(88\) | −3.76157 | − | 2.17174i | −0.400985 | − | 0.231509i | ||||
\(89\) | 2.06611 | + | 2.46229i | 0.219007 | + | 0.261002i | 0.864350 | − | 0.502890i | \(-0.167730\pi\) |
−0.645343 | + | 0.763893i | \(0.723286\pi\) | |||||||
\(90\) | 1.53967 | − | 1.29194i | 0.162296 | − | 0.136182i | ||||
\(91\) | 0.319409 | − | 0.877568i | 0.0334831 | − | 0.0919941i | ||||
\(92\) | −1.01993 | − | 0.179842i | −0.106336 | − | 0.0187498i | ||||
\(93\) | −7.70781 | − | 1.35909i | −0.799262 | − | 0.140932i | ||||
\(94\) | −2.80781 | + | 7.71440i | −0.289604 | + | 0.795680i | ||||
\(95\) | −9.77198 | + | 8.19967i | −1.00258 | + | 0.841268i | ||||
\(96\) | −0.984808 | − | 1.17365i | −0.100512 | − | 0.119785i | ||||
\(97\) | 2.07350 | + | 1.19713i | 0.210532 | + | 0.121551i | 0.601559 | − | 0.798829i | \(-0.294547\pi\) |
−0.391027 | + | 0.920379i | \(0.627880\pi\) | |||||||
\(98\) | 2.38047 | + | 6.54027i | 0.240463 | + | 0.660668i | ||||
\(99\) | 0.492294 | + | 2.79194i | 0.0494774 | + | 0.280600i | ||||
\(100\) | −2.24119 | − | 3.88185i | −0.224119 | − | 0.388185i | ||||
\(101\) | 5.48150 | − | 9.49423i | 0.545429 | − | 0.944711i | −0.453150 | − | 0.891434i | \(-0.649700\pi\) |
0.998580 | − | 0.0532773i | \(-0.0169667\pi\) | |||||||
\(102\) | −9.78448 | − | 3.56126i | −0.968808 | − | 0.352617i | ||||
\(103\) | −13.6274 | + | 7.86780i | −1.34275 | + | 0.775238i | −0.987210 | − | 0.159423i | \(-0.949037\pi\) |
−0.355541 | + | 0.934661i | \(0.615703\pi\) | |||||||
\(104\) | 3.57768 | + | 3.00203i | 0.350820 | + | 0.294373i | ||||
\(105\) | − | 0.943387i | − | 0.0920652i | ||||||
\(106\) | 7.26330 | − | 8.65606i | 0.705474 | − | 0.840751i | ||||
\(107\) | 17.4933 | − | 6.36704i | 1.69114 | − | 0.615525i | 0.696373 | − | 0.717680i | \(-0.254796\pi\) |
0.994769 | + | 0.102154i | \(0.0325736\pi\) | |||||||
\(108\) | −0.971782 | + | 5.51125i | −0.0935097 | + | 0.530320i | ||||
\(109\) | 0.00691666 | − | 0.00121959i | 0.000662495 | − | 0.000116816i | −0.173317 | − | 0.984866i | \(-0.555448\pi\) |
0.173979 | + | 0.984749i | \(0.444337\pi\) | |||||||
\(110\) | 13.3751 | 1.27527 | ||||||||
\(111\) | −4.93239 | + | 7.90705i | −0.468162 | + | 0.750504i | ||||
\(112\) | 0.199962 | 0.0188946 | ||||||||
\(113\) | 2.52369 | − | 0.444994i | 0.237408 | − | 0.0418615i | −0.0536779 | − | 0.998558i | \(-0.517094\pi\) |
0.291086 | + | 0.956697i | \(0.405983\pi\) | |||||||
\(114\) | 1.10211 | − | 6.25037i | 0.103222 | − | 0.585401i | ||||
\(115\) | 2.99685 | − | 1.09076i | 0.279458 | − | 0.101714i | ||||
\(116\) | 0.934742 | − | 1.11398i | 0.0867886 | − | 0.103431i | ||||
\(117\) | − | 3.04834i | − | 0.281819i | ||||||
\(118\) | 3.21433 | + | 2.69714i | 0.295903 | + | 0.248292i | ||||
\(119\) | 1.17692 | − | 0.679493i | 0.107888 | − | 0.0622891i | ||||
\(120\) | 4.43331 | + | 1.61359i | 0.404704 | + | 0.147300i | ||||
\(121\) | −3.93294 | + | 6.81205i | −0.357540 | + | 0.619277i | ||||
\(122\) | 5.26509 | + | 9.11941i | 0.476679 | + | 0.825632i | ||||
\(123\) | −1.26414 | − | 7.16929i | −0.113984 | − | 0.646433i | ||||
\(124\) | 1.74722 | + | 4.80044i | 0.156905 | + | 0.431092i | ||||
\(125\) | −1.38039 | − | 0.796967i | −0.123466 | − | 0.0712829i | ||||
\(126\) | −0.0838940 | − | 0.0999810i | −0.00747387 | − | 0.00890701i | ||||
\(127\) | −4.44843 | + | 3.73268i | −0.394735 | + | 0.331222i | −0.818454 | − | 0.574572i | \(-0.805169\pi\) |
0.423720 | + | 0.905793i | \(0.360724\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 0.603479 | + | 0.106410i | 0.0531334 | + | 0.00936885i | ||||
\(130\) | −14.1631 | − | 2.49733i | −1.24218 | − | 0.219031i | ||||
\(131\) | −2.86257 | + | 7.86484i | −0.250104 | + | 0.687154i | 0.749578 | + | 0.661916i | \(0.230257\pi\) |
−0.999681 | + | 0.0252378i | \(0.991966\pi\) | |||||||
\(132\) | −5.09773 | + | 4.27750i | −0.443700 | + | 0.372309i | ||||
\(133\) | 0.532457 | + | 0.634558i | 0.0461699 | + | 0.0550232i | ||||
\(134\) | −7.54392 | − | 4.35548i | −0.651695 | − | 0.376256i | ||||
\(135\) | −5.89398 | − | 16.1936i | −0.507273 | − | 1.39372i | ||||
\(136\) | 1.18015 | + | 6.69298i | 0.101197 | + | 0.573918i | ||||
\(137\) | 0.788995 | + | 1.36658i | 0.0674084 | + | 0.116755i | 0.897760 | − | 0.440485i | \(-0.145194\pi\) |
−0.830351 | + | 0.557240i | \(0.811860\pi\) | |||||||
\(138\) | −0.793368 | + | 1.37415i | −0.0675360 | + | 0.116976i | ||||
\(139\) | −9.32521 | − | 3.39410i | −0.790954 | − | 0.287884i | −0.0852214 | − | 0.996362i | \(-0.527160\pi\) |
−0.705733 | + | 0.708478i | \(0.749382\pi\) | |||||||
\(140\) | −0.533257 | + | 0.307876i | −0.0450684 | + | 0.0260203i | ||||
\(141\) | 9.63506 | + | 8.08477i | 0.811418 | + | 0.680861i | ||||
\(142\) | 14.1639i | 1.18861i | ||||||||
\(143\) | 13.0393 | − | 15.5396i | 1.09040 | − | 1.29949i | ||||
\(144\) | 0.613341 | − | 0.223238i | 0.0511117 | − | 0.0186031i | ||||
\(145\) | −0.777594 | + | 4.40996i | −0.0645757 | + | 0.366227i | ||||
\(146\) | −7.16534 | + | 1.26344i | −0.593008 | + | 0.104563i | ||||
\(147\) | 10.6634 | 0.879499 | ||||||||
\(148\) | 6.07922 | + | 0.207592i | 0.499709 | + | 0.0170640i | ||||
\(149\) | 12.8504 | 1.05274 | 0.526372 | − | 0.850254i | \(-0.323552\pi\) | ||||
0.526372 | + | 0.850254i | \(0.323552\pi\) | |||||||
\(150\) | −6.76307 | + | 1.19251i | −0.552202 | + | 0.0973682i | ||||
\(151\) | 0.900597 | − | 5.10754i | 0.0732895 | − | 0.415646i | −0.925985 | − | 0.377560i | \(-0.876763\pi\) |
0.999274 | − | 0.0380852i | \(-0.0121258\pi\) | |||||||
\(152\) | −3.89275 | + | 1.41684i | −0.315743 | + | 0.114921i | ||||
\(153\) | 2.85136 | − | 3.39811i | 0.230519 | − | 0.274721i | ||||
\(154\) | − | 0.868532i | − | 0.0699883i | ||||||
\(155\) | −12.0506 | − | 10.1116i | −0.967926 | − | 0.812186i | ||||
\(156\) | 6.19672 | − | 3.57768i | 0.496135 | − | 0.286444i | ||||
\(157\) | −11.2421 | − | 4.09177i | −0.897214 | − | 0.326559i | −0.148078 | − | 0.988976i | \(-0.547309\pi\) |
−0.749136 | + | 0.662416i | \(0.769531\pi\) | |||||||
\(158\) | 3.14774 | − | 5.45204i | 0.250421 | − | 0.433741i | ||||
\(159\) | −8.65606 | − | 14.9927i | −0.686470 | − | 1.18900i | ||||
\(160\) | −0.534723 | − | 3.03256i | −0.0422736 | − | 0.239745i | ||||
\(161\) | −0.0708304 | − | 0.194605i | −0.00558222 | − | 0.0153370i | ||||
\(162\) | 5.72951 | + | 3.30793i | 0.450153 | + | 0.259896i | ||||
\(163\) | −0.454390 | − | 0.541521i | −0.0355906 | − | 0.0424152i | 0.747956 | − | 0.663749i | \(-0.231036\pi\) |
−0.783546 | + | 0.621334i | \(0.786591\pi\) | |||||||
\(164\) | −3.63995 | + | 3.05428i | −0.284232 | + | 0.238499i | ||||
\(165\) | 7.00862 | − | 19.2560i | 0.545621 | − | 1.49908i | ||||
\(166\) | 15.1816 | + | 2.67692i | 1.17832 | + | 0.207770i | ||||
\(167\) | −6.50943 | − | 1.14779i | −0.503715 | − | 0.0888185i | −0.0839840 | − | 0.996467i | \(-0.526764\pi\) |
−0.419731 | + | 0.907649i | \(0.637876\pi\) | |||||||
\(168\) | 0.104781 | − | 0.287884i | 0.00808404 | − | 0.0222107i | ||||
\(169\) | −6.75037 | + | 5.66423i | −0.519259 | + | 0.435710i | ||||
\(170\) | −13.4522 | − | 16.0317i | −1.03174 | − | 1.22958i | ||||
\(171\) | 2.34162 | + | 1.35194i | 0.179068 | + | 0.103385i | ||||
\(172\) | −0.136798 | − | 0.375848i | −0.0104307 | − | 0.0286582i | ||||
\(173\) | 2.67447 | + | 15.1676i | 0.203336 | + | 1.15317i | 0.900037 | + | 0.435813i | \(0.143539\pi\) |
−0.696701 | + | 0.717361i | \(0.745350\pi\) | |||||||
\(174\) | −1.11398 | − | 1.92947i | −0.0844508 | − | 0.146273i | ||||
\(175\) | 0.448153 | − | 0.776223i | 0.0338771 | − | 0.0586769i | ||||
\(176\) | 4.08154 | + | 1.48556i | 0.307658 | + | 0.111978i | ||||
\(177\) | 5.56739 | − | 3.21433i | 0.418470 | − | 0.241604i | ||||
\(178\) | −2.46229 | − | 2.06611i | −0.184557 | − | 0.154861i | ||||
\(179\) | 2.55438i | 0.190923i | 0.995433 | + | 0.0954617i | \(0.0304328\pi\) | ||||
−0.995433 | + | 0.0954617i | \(0.969567\pi\) | |||||||
\(180\) | −1.29194 | + | 1.53967i | −0.0962955 | + | 0.114760i | ||||
\(181\) | −7.88211 | + | 2.86885i | −0.585873 | + | 0.213240i | −0.617913 | − | 0.786246i | \(-0.712022\pi\) |
0.0320404 | + | 0.999487i | \(0.489799\pi\) | |||||||
\(182\) | −0.162168 | + | 0.919700i | −0.0120207 | + | 0.0681727i | ||||
\(183\) | 15.8881 | − | 2.80150i | 1.17448 | − | 0.207093i | ||||
\(184\) | 1.03567 | 0.0763505 | ||||||||
\(185\) | −16.5316 | + | 8.80641i | −1.21543 | + | 0.647460i | ||||
\(186\) | 7.82671 | 0.573882 | ||||||||
\(187\) | 29.0709 | − | 5.12598i | 2.12587 | − | 0.374849i | ||||
\(188\) | 1.42556 | − | 8.08477i | 0.103970 | − | 0.589643i | ||||
\(189\) | −1.05155 | + | 0.382734i | −0.0764893 | + | 0.0278398i | ||||
\(190\) | 8.19967 | − | 9.77198i | 0.594866 | − | 0.708934i | ||||
\(191\) | − | 6.48182i | − | 0.469008i | −0.972115 | − | 0.234504i | \(-0.924653\pi\) | ||
0.972115 | − | 0.234504i | \(-0.0753466\pi\) | |||||||
\(192\) | 1.17365 | + | 0.984808i | 0.0847008 | + | 0.0710724i | ||||
\(193\) | −18.1716 | + | 10.4914i | −1.30802 | + | 0.755186i | −0.981766 | − | 0.190096i | \(-0.939120\pi\) |
−0.326255 | + | 0.945282i | \(0.605787\pi\) | |||||||
\(194\) | −2.24988 | − | 0.818888i | −0.161532 | − | 0.0587927i | ||||
\(195\) | −11.0169 | + | 19.0819i | −0.788938 | + | 1.36648i | ||||
\(196\) | −3.48001 | − | 6.02755i | −0.248572 | − | 0.430539i | ||||
\(197\) | −0.287925 | − | 1.63290i | −0.0205138 | − | 0.116340i | 0.972831 | − | 0.231515i | \(-0.0743682\pi\) |
−0.993345 | + | 0.115175i | \(0.963257\pi\) | |||||||
\(198\) | −0.969630 | − | 2.66404i | −0.0689086 | − | 0.189325i | ||||
\(199\) | 6.25254 | + | 3.60991i | 0.443231 | + | 0.255900i | 0.704967 | − | 0.709240i | \(-0.250962\pi\) |
−0.261736 | + | 0.965139i | \(0.584295\pi\) | |||||||
\(200\) | 2.88122 | + | 3.43370i | 0.203733 | + | 0.242799i | ||||
\(201\) | −10.2236 | + | 8.57863i | −0.721118 | + | 0.605090i | ||||
\(202\) | −3.74956 | + | 10.3018i | −0.263818 | + | 0.724835i | ||||
\(203\) | 0.286367 | + | 0.0504942i | 0.0200990 | + | 0.00354400i | ||||
\(204\) | 10.2542 | + | 1.80810i | 0.717940 | + | 0.126592i | ||||
\(205\) | 5.00439 | − | 13.7495i | 0.349522 | − | 0.960303i | ||||
\(206\) | 12.0542 | − | 10.1147i | 0.839854 | − | 0.704721i | ||||
\(207\) | −0.434515 | − | 0.517834i | −0.0302009 | − | 0.0359920i | ||||
\(208\) | −4.04462 | − | 2.33516i | −0.280444 | − | 0.161915i | ||||
\(209\) | 6.15404 | + | 16.9081i | 0.425684 | + | 1.16956i | ||||
\(210\) | 0.163817 | + | 0.929055i | 0.0113045 | + | 0.0641109i | ||||
\(211\) | −2.25434 | − | 3.90463i | −0.155195 | − | 0.268806i | 0.777935 | − | 0.628345i | \(-0.216267\pi\) |
−0.933130 | + | 0.359539i | \(0.882934\pi\) | |||||||
\(212\) | −5.64984 | + | 9.78581i | −0.388033 | + | 0.672092i | ||||
\(213\) | 20.3917 | + | 7.42196i | 1.39721 | + | 0.508544i | ||||
\(214\) | −16.1219 | + | 9.30799i | −1.10207 | + | 0.636281i | ||||
\(215\) | 0.943495 | + | 0.791686i | 0.0643458 | + | 0.0539926i | ||||
\(216\) | − | 5.59627i | − | 0.380778i | ||||||
\(217\) | −0.656614 | + | 0.782522i | −0.0445739 | + | 0.0531211i | ||||
\(218\) | −0.00659980 | + | 0.00240213i | −0.000446995 | + | 0.000162693i | ||||
\(219\) | −1.93571 | + | 10.9779i | −0.130803 | + | 0.741821i | ||||
\(220\) | −13.1719 | + | 2.32256i | −0.888050 | + | 0.156587i | ||||
\(221\) | −31.7406 | −2.13511 | ||||||||
\(222\) | 3.48441 | − | 8.64343i | 0.233858 | − | 0.580109i | ||||
\(223\) | 13.6418 | 0.913526 | 0.456763 | − | 0.889588i | \(-0.349009\pi\) | ||||
0.456763 | + | 0.889588i | \(0.349009\pi\) | |||||||
\(224\) | −0.196924 | + | 0.0347230i | −0.0131575 | + | 0.00232003i | ||||
\(225\) | 0.508036 | − | 2.88122i | 0.0338691 | − | 0.192081i | ||||
\(226\) | −2.40807 | + | 0.876467i | −0.160183 | + | 0.0583017i | ||||
\(227\) | −17.5084 | + | 20.8657i | −1.16207 | + | 1.38490i | −0.253414 | + | 0.967358i | \(0.581554\pi\) |
−0.908657 | + | 0.417544i | \(0.862891\pi\) | |||||||
\(228\) | 6.34679i | 0.420326i | ||||||||
\(229\) | 1.56117 | + | 1.30998i | 0.103165 | + | 0.0865658i | 0.692911 | − | 0.721023i | \(-0.256328\pi\) |
−0.589746 | + | 0.807589i | \(0.700772\pi\) | |||||||
\(230\) | −2.76191 | + | 1.59459i | −0.182115 | + | 0.105144i | ||||
\(231\) | −1.25042 | − | 0.455115i | −0.0822715 | − | 0.0299444i | ||||
\(232\) | −0.727100 | + | 1.25937i | −0.0477365 | + | 0.0826820i | ||||
\(233\) | 1.94247 | + | 3.36446i | 0.127256 | + | 0.220413i | 0.922612 | − | 0.385728i | \(-0.126050\pi\) |
−0.795357 | + | 0.606142i | \(0.792716\pi\) | |||||||
\(234\) | 0.529339 | + | 3.00203i | 0.0346040 | + | 0.196249i | ||||
\(235\) | 8.64623 | + | 23.7553i | 0.564018 | + | 1.54963i | ||||
\(236\) | −3.63385 | − | 2.09801i | −0.236544 | − | 0.136569i | ||||
\(237\) | −6.19983 | − | 7.38867i | −0.402722 | − | 0.479946i | ||||
\(238\) | −1.04104 | + | 0.873540i | −0.0674809 | + | 0.0566232i | ||||
\(239\) | −6.35148 | + | 17.4506i | −0.410843 | + | 1.12878i | 0.545900 | + | 0.837850i | \(0.316188\pi\) |
−0.956744 | + | 0.290933i | \(0.906034\pi\) | |||||||
\(240\) | −4.64616 | − | 0.819243i | −0.299908 | − | 0.0528819i | ||||
\(241\) | 24.9528 | + | 4.39985i | 1.60735 | + | 0.283420i | 0.904036 | − | 0.427457i | \(-0.140591\pi\) |
0.703317 | + | 0.710877i | \(0.251702\pi\) | |||||||
\(242\) | 2.69029 | − | 7.39151i | 0.172938 | − | 0.475144i | ||||
\(243\) | −5.09627 | + | 4.27628i | −0.326926 | + | 0.274323i | ||||
\(244\) | −6.76867 | − | 8.06659i | −0.433320 | − | 0.516410i | ||||
\(245\) | 18.5609 | + | 10.7162i | 1.18581 | + | 0.684630i | ||||
\(246\) | 2.48987 | + | 6.84086i | 0.158748 | + | 0.436157i | ||||
\(247\) | −3.35960 | − | 19.0533i | −0.213766 | − | 1.21233i | ||||
\(248\) | −2.55426 | − | 4.42411i | −0.162196 | − | 0.280931i | ||||
\(249\) | 11.8092 | − | 20.4541i | 0.748376 | − | 1.29623i | ||||
\(250\) | 1.49781 | + | 0.545158i | 0.0947298 | + | 0.0344788i | ||||
\(251\) | 11.0092 | − | 6.35615i | 0.694893 | − | 0.401197i | −0.110549 | − | 0.993871i | \(-0.535261\pi\) |
0.805443 | + | 0.592674i | \(0.201928\pi\) | |||||||
\(252\) | 0.0999810 | + | 0.0838940i | 0.00629821 | + | 0.00528482i | ||||
\(253\) | − | 4.49841i | − | 0.282813i | ||||||
\(254\) | 3.73268 | − | 4.44843i | 0.234209 | − | 0.279119i | ||||
\(255\) | −30.1298 | + | 10.9664i | −1.88680 | + | 0.686740i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 4.28106 | − | 0.754866i | 0.267045 | − | 0.0470873i | −0.0385222 | − | 0.999258i | \(-0.512265\pi\) |
0.305567 | + | 0.952170i | \(0.401154\pi\) | |||||||
\(258\) | −0.612789 | −0.0381506 | ||||||||
\(259\) | 0.571857 | + | 1.07351i | 0.0355335 | + | 0.0667044i | ||||
\(260\) | 14.3816 | 0.891907 | ||||||||
\(261\) | 0.934742 | − | 0.164820i | 0.0578591 | − | 0.0102021i | ||||
\(262\) | 1.45336 | − | 8.24243i | 0.0897891 | − | 0.509219i | ||||
\(263\) | 6.11870 | − | 2.22703i | 0.377295 | − | 0.137324i | −0.146409 | − | 0.989224i | \(-0.546772\pi\) |
0.523705 | + | 0.851900i | \(0.324549\pi\) | |||||||
\(264\) | 4.27750 | − | 5.09773i | 0.263262 | − | 0.313743i | ||||
\(265\) | − | 34.7956i | − | 2.13748i | ||||||
\(266\) | −0.634558 | − | 0.532457i | −0.0389073 | − | 0.0326471i | ||||
\(267\) | −4.26481 | + | 2.46229i | −0.261002 | + | 0.150690i | ||||
\(268\) | 8.18563 | + | 2.97933i | 0.500017 | + | 0.181991i | ||||
\(269\) | 4.95106 | − | 8.57549i | 0.301872 | − | 0.522857i | −0.674688 | − | 0.738103i | \(-0.735722\pi\) |
0.976560 | + | 0.215246i | \(0.0690552\pi\) | |||||||
\(270\) | 8.61642 | + | 14.9241i | 0.524379 | + | 0.908251i | ||||
\(271\) | 1.56719 | + | 8.88797i | 0.0951999 | + | 0.539906i | 0.994686 | + | 0.102956i | \(0.0328301\pi\) |
−0.899486 | + | 0.436950i | \(0.856059\pi\) | |||||||
\(272\) | −2.32445 | − | 6.38637i | −0.140940 | − | 0.387230i | ||||
\(273\) | 1.23911 | + | 0.715400i | 0.0749943 | + | 0.0432980i | ||||
\(274\) | −1.01431 | − | 1.20881i | −0.0612768 | − | 0.0730269i | ||||
\(275\) | 14.9142 | − | 12.5145i | 0.899362 | − | 0.754655i | ||||
\(276\) | 0.542696 | − | 1.49104i | 0.0326664 | − | 0.0897503i | ||||
\(277\) | −0.204926 | − | 0.0361340i | −0.0123128 | − | 0.00217108i | 0.167488 | − | 0.985874i | \(-0.446434\pi\) |
−0.179801 | + | 0.983703i | \(0.557545\pi\) | |||||||
\(278\) | 9.77292 | + | 1.72323i | 0.586141 | + | 0.103352i | ||||
\(279\) | −1.14042 | + | 3.13327i | −0.0682749 | + | 0.187584i | ||||
\(280\) | 0.471694 | − | 0.395798i | 0.0281891 | − | 0.0236534i | ||||
\(281\) | −17.3934 | − | 20.7286i | −1.03760 | − | 1.23657i | −0.971073 | − | 0.238781i | \(-0.923252\pi\) |
−0.0665281 | − | 0.997785i | \(-0.521192\pi\) | |||||||
\(282\) | −10.8926 | − | 6.28884i | −0.648644 | − | 0.374495i | ||||
\(283\) | 0.278026 | + | 0.763870i | 0.0165269 | + | 0.0454074i | 0.947682 | − | 0.319217i | \(-0.103420\pi\) |
−0.931155 | + | 0.364624i | \(0.881198\pi\) | |||||||
\(284\) | −2.45953 | − | 13.9487i | −0.145947 | − | 0.827704i | ||||
\(285\) | −9.77198 | − | 16.9256i | −0.578842 | − | 1.00258i | ||||
\(286\) | −10.1428 | + | 17.5678i | −0.599754 | + | 1.03880i | ||||
\(287\) | −0.892841 | − | 0.324967i | −0.0527027 | − | 0.0191822i | ||||
\(288\) | −0.565258 | + | 0.326352i | −0.0333081 | + | 0.0192305i | ||||
\(289\) | −22.3599 | − | 18.7621i | −1.31529 | − | 1.10366i | ||||
\(290\) | − | 4.47799i | − | 0.262957i | ||||||
\(291\) | −2.35789 | + | 2.81003i | −0.138222 | + | 0.164727i | ||||
\(292\) | 6.83709 | − | 2.48850i | 0.400110 | − | 0.145628i | ||||
\(293\) | −1.52803 | + | 8.66589i | −0.0892684 | + | 0.506266i | 0.907085 | + | 0.420947i | \(0.138302\pi\) |
−0.996354 | + | 0.0853194i | \(0.972809\pi\) | |||||||
\(294\) | −10.5014 | + | 1.85167i | −0.612452 | + | 0.107992i | ||||
\(295\) | 12.9210 | 0.752288 | ||||||||
\(296\) | −6.02291 | + | 0.851207i | −0.350075 | + | 0.0494754i | ||||
\(297\) | −24.3073 | −1.41045 | ||||||||
\(298\) | −12.6552 | + | 2.23145i | −0.733094 | + | 0.129264i | ||||
\(299\) | −0.839921 | + | 4.76343i | −0.0485739 | + | 0.275476i | ||||
\(300\) | 6.45325 | − | 2.34879i | 0.372578 | − | 0.135607i | ||||
\(301\) | 0.0514093 | − | 0.0612672i | 0.00296318 | − | 0.00353138i | ||||
\(302\) | 5.18633i | 0.298440i | ||||||||
\(303\) | 12.8667 | + | 10.7964i | 0.739173 | + | 0.620239i | ||||
\(304\) | 3.58757 | − | 2.07129i | 0.205761 | − | 0.118796i | ||||
\(305\) | 30.4706 | + | 11.0904i | 1.74474 | + | 0.635033i | ||||
\(306\) | −2.21796 | + | 3.84162i | −0.126792 | + | 0.219611i | ||||
\(307\) | −12.2271 | − | 21.1779i | −0.697836 | − | 1.20869i | −0.969215 | − | 0.246215i | \(-0.920813\pi\) |
0.271379 | − | 0.962472i | \(-0.412520\pi\) | |||||||
\(308\) | 0.150819 | + | 0.855337i | 0.00859371 | + | 0.0487374i | ||||
\(309\) | −8.24554 | − | 22.6544i | −0.469072 | − | 1.28877i | ||||
\(310\) | 13.6234 | + | 7.86546i | 0.773756 | + | 0.446728i | ||||
\(311\) | 0.00816038 | + | 0.00972517i | 0.000462733 | + | 0.000551464i | 0.766276 | − | 0.642512i | \(-0.222108\pi\) |
−0.765813 | + | 0.643063i | \(0.777663\pi\) | |||||||
\(312\) | −5.48132 | + | 4.59938i | −0.310319 | + | 0.260388i | ||||
\(313\) | 5.97456 | − | 16.4150i | 0.337702 | − | 0.927829i | −0.648343 | − | 0.761349i | \(-0.724538\pi\) |
0.986045 | − | 0.166480i | \(-0.0532402\pi\) | |||||||
\(314\) | 11.7818 | + | 2.07745i | 0.664885 | + | 0.117237i | ||||
\(315\) | −0.395798 | − | 0.0697898i | −0.0223007 | − | 0.00393221i | ||||
\(316\) | −2.15318 | + | 5.91581i | −0.121126 | + | 0.332790i | ||||
\(317\) | 2.09046 | − | 1.75410i | 0.117412 | − | 0.0985203i | −0.582191 | − | 0.813052i | \(-0.697805\pi\) |
0.699603 | + | 0.714531i | \(0.253360\pi\) | |||||||
\(318\) | 11.1280 | + | 13.2619i | 0.624028 | + | 0.743688i | ||||
\(319\) | 5.47008 | + | 3.15815i | 0.306266 | + | 0.176822i | ||||
\(320\) | 1.05320 | + | 2.89364i | 0.0588756 | + | 0.161759i | ||||
\(321\) | 4.95268 | + | 28.0880i | 0.276432 | + | 1.56772i | ||||
\(322\) | 0.103547 | + | 0.179349i | 0.00577046 | + | 0.00999472i | ||||
\(323\) | 14.0769 | − | 24.3820i | 0.783262 | − | 1.35665i | ||||
\(324\) | −6.21688 | − | 2.26276i | −0.345382 | − | 0.125709i | ||||
\(325\) | −18.1295 | + | 10.4671i | −1.00565 | + | 0.580610i | ||||
\(326\) | 0.541521 | + | 0.454390i | 0.0299921 | + | 0.0251663i | ||||
\(327\) | 0.0107604i | 0.000595052i | ||||||||
\(328\) | 3.05428 | − | 3.63995i | 0.168644 | − | 0.200982i | ||||
\(329\) | 1.54259 | − | 0.561455i | 0.0850455 | − | 0.0309540i | ||||
\(330\) | −3.55837 | + | 20.1805i | −0.195882 | + | 1.11090i | ||||
\(331\) | −23.2573 | + | 4.10088i | −1.27834 | + | 0.225405i | −0.771273 | − | 0.636504i | \(-0.780380\pi\) |
−0.507062 | + | 0.861909i | \(0.669269\pi\) | |||||||
\(332\) | −15.4158 | −0.846051 | ||||||||
\(333\) | 2.95251 | + | 2.65433i | 0.161797 | + | 0.145456i | ||||
\(334\) | 6.60985 | 0.361675 | ||||||||
\(335\) | −26.4166 | + | 4.65795i | −1.44329 | + | 0.254491i | ||||
\(336\) | −0.0531988 | + | 0.301705i | −0.00290223 | + | 0.0164594i | ||||
\(337\) | 21.0920 | − | 7.67685i | 1.14895 | − | 0.418185i | 0.303814 | − | 0.952731i | \(-0.401740\pi\) |
0.845139 | + | 0.534546i | \(0.179517\pi\) | |||||||
\(338\) | 5.66423 | − | 6.75037i | 0.308094 | − | 0.367172i | ||||
\(339\) | 3.92616i | 0.213240i | ||||||||
\(340\) | 16.0317 | + | 13.4522i | 0.869443 | + | 0.729549i | ||||
\(341\) | −19.2161 | + | 11.0944i | −1.04061 | + | 0.600796i | ||||
\(342\) | −2.54081 | − | 0.924779i | −0.137391 | − | 0.0500063i | ||||
\(343\) | 1.39574 | − | 2.41749i | 0.0753626 | − | 0.130532i | ||||
\(344\) | 0.199985 | + | 0.346384i | 0.0107825 | + | 0.0186758i | ||||
\(345\) | 0.848464 | + | 4.81188i | 0.0456798 | + | 0.259063i | ||||
\(346\) | −5.26767 | − | 14.4728i | −0.283192 | − | 0.778063i | ||||
\(347\) | −1.05232 | − | 0.607556i | −0.0564914 | − | 0.0326153i | 0.471488 | − | 0.881872i | \(-0.343717\pi\) |
−0.527980 | + | 0.849257i | \(0.677050\pi\) | |||||||
\(348\) | 1.43211 | + | 1.70672i | 0.0767690 | + | 0.0914898i | ||||
\(349\) | 13.5892 | − | 11.4027i | 0.727415 | − | 0.610374i | −0.202011 | − | 0.979383i | \(-0.564748\pi\) |
0.929426 | + | 0.369010i | \(0.120303\pi\) | |||||||
\(350\) | −0.306554 | + | 0.842251i | −0.0163860 | + | 0.0450202i | ||||
\(351\) | 25.7393 | + | 4.53854i | 1.37386 | + | 0.242249i | ||||
\(352\) | −4.27750 | − | 0.754239i | −0.227991 | − | 0.0402011i | ||||
\(353\) | 0.549304 | − | 1.50920i | 0.0292365 | − | 0.0803266i | −0.924216 | − | 0.381871i | \(-0.875280\pi\) |
0.953452 | + | 0.301544i | \(0.0975021\pi\) | |||||||
\(354\) | −4.92464 | + | 4.13227i | −0.261742 | + | 0.219627i | ||||
\(355\) | 28.0355 | + | 33.4115i | 1.48797 | + | 1.77330i | ||||
\(356\) | 2.78366 | + | 1.60715i | 0.147534 | + | 0.0851786i | ||||
\(357\) | 0.712116 | + | 1.95652i | 0.0376892 | + | 0.103550i | ||||
\(358\) | −0.443564 | − | 2.51558i | −0.0234431 | − | 0.132952i | ||||
\(359\) | 16.0062 | + | 27.7236i | 0.844775 | + | 1.46319i | 0.885816 | + | 0.464037i | \(0.153599\pi\) |
−0.0410405 | + | 0.999157i | \(0.513067\pi\) | |||||||
\(360\) | 1.00495 | − | 1.74063i | 0.0529655 | − | 0.0917390i | ||||
\(361\) | −1.72818 | − | 0.629006i | −0.0909568 | − | 0.0331056i | ||||
\(362\) | 7.26419 | − | 4.19398i | 0.381798 | − | 0.220431i | ||||
\(363\) | −9.23177 | − | 7.74638i | −0.484542 | − | 0.406579i | ||||
\(364\) | − | 0.933888i | − | 0.0489490i | ||||||
\(365\) | −14.4016 | + | 17.1632i | −0.753816 | + | 0.898363i | ||||
\(366\) | −15.1602 | + | 5.51787i | −0.792438 | + | 0.288424i | ||||
\(367\) | 2.78467 | − | 15.7927i | 0.145359 | − | 0.824371i | −0.821720 | − | 0.569892i | \(-0.806985\pi\) |
0.967078 | − | 0.254479i | \(-0.0819038\pi\) | |||||||
\(368\) | −1.01993 | + | 0.179842i | −0.0531678 | + | 0.00937491i | ||||
\(369\) | −3.10139 | −0.161452 | ||||||||
\(370\) | 14.7513 | − | 11.5433i | 0.766882 | − | 0.600108i | ||||
\(371\) | −2.25951 | −0.117308 | ||||||||
\(372\) | −7.70781 | + | 1.35909i | −0.399631 | + | 0.0704658i | ||||
\(373\) | −0.193859 | + | 1.09943i | −0.0100376 | + | 0.0569262i | −0.989415 | − | 0.145113i | \(-0.953646\pi\) |
0.979378 | + | 0.202039i | \(0.0647567\pi\) | |||||||
\(374\) | −27.7391 | + | 10.0962i | −1.43435 | + | 0.522062i | ||||
\(375\) | 1.56972 | − | 1.87072i | 0.0810600 | − | 0.0966035i | ||||
\(376\) | 8.20949i | 0.423372i | ||||||||
\(377\) | −5.20266 | − | 4.36555i | −0.267951 | − | 0.224837i | ||||
\(378\) | 0.969117 | − | 0.559520i | 0.0498460 | − | 0.0287786i | ||||
\(379\) | −34.2433 | − | 12.4636i | −1.75896 | − | 0.640210i | −0.759021 | − | 0.651066i | \(-0.774322\pi\) |
−0.999941 | + | 0.0108561i | \(0.996544\pi\) | |||||||
\(380\) | −6.37821 | + | 11.0474i | −0.327195 | + | 0.566719i | ||||
\(381\) | −4.44843 | − | 7.70491i | −0.227900 | − | 0.394735i | ||||
\(382\) | 1.12556 | + | 6.38335i | 0.0575885 | + | 0.326601i | ||||
\(383\) | 2.06267 | + | 5.66715i | 0.105398 | + | 0.289578i | 0.981170 | − | 0.193147i | \(-0.0618694\pi\) |
−0.875772 | + | 0.482725i | \(0.839647\pi\) | |||||||
\(384\) | −1.32683 | − | 0.766044i | −0.0677094 | − | 0.0390920i | ||||
\(385\) | −1.71914 | − | 2.04879i | −0.0876156 | − | 0.104416i | ||||
\(386\) | 16.0737 | − | 13.4875i | 0.818131 | − | 0.686494i | ||||
\(387\) | 0.0892883 | − | 0.245318i | 0.00453878 | − | 0.0124702i | ||||
\(388\) | 2.35789 | + | 0.415760i | 0.119704 | + | 0.0211070i | ||||
\(389\) | 18.5468 | + | 3.27030i | 0.940361 | + | 0.165811i | 0.622759 | − | 0.782413i | \(-0.286012\pi\) |
0.317601 | + | 0.948224i | \(0.397123\pi\) | |||||||
\(390\) | 7.53602 | − | 20.7050i | 0.381601 | − | 1.04844i | ||||
\(391\) | −5.39191 | + | 4.52435i | −0.272681 | + | 0.228806i | ||||
\(392\) | 4.47381 | + | 5.33168i | 0.225962 | + | 0.269291i | ||||
\(393\) | −11.1050 | − | 6.41147i | −0.560173 | − | 0.323416i | ||||
\(394\) | 0.567102 | + | 1.55810i | 0.0285702 | + | 0.0784959i | ||||
\(395\) | −3.36634 | − | 19.0914i | −0.169379 | − | 0.960595i | ||||
\(396\) | 1.41750 | + | 2.45519i | 0.0712323 | + | 0.123378i | ||||
\(397\) | −13.7557 | + | 23.8255i | −0.690378 | + | 1.19577i | 0.281336 | + | 0.959609i | \(0.409222\pi\) |
−0.971714 | + | 0.236160i | \(0.924111\pi\) | |||||||
\(398\) | −6.78441 | − | 2.46932i | −0.340072 | − | 0.123776i | ||||
\(399\) | −1.09909 | + | 0.634558i | −0.0550232 | + | 0.0317676i | ||||
\(400\) | −3.43370 | − | 2.88122i | −0.171685 | − | 0.144061i | ||||
\(401\) | 22.0721i | 1.10223i | 0.834430 | + | 0.551114i | \(0.185797\pi\) | ||||
−0.834430 | + | 0.551114i | \(0.814203\pi\) | |||||||
\(402\) | 8.57863 | − | 10.2236i | 0.427863 | − | 0.509907i | ||||
\(403\) | 22.4196 | − | 8.16008i | 1.11680 | − | 0.406483i | ||||
\(404\) | 1.90370 | − | 10.7964i | 0.0947128 | − | 0.537143i | ||||
\(405\) | 20.0630 | − | 3.53766i | 0.996941 | − | 0.175788i | ||||
\(406\) | −0.290785 | −0.0144314 | ||||||||
\(407\) | 3.69721 | + | 26.1604i | 0.183264 | + | 1.29672i | ||||
\(408\) | −10.4124 | −0.515492 | ||||||||
\(409\) | −1.39932 | + | 0.246737i | −0.0691917 | + | 0.0122004i | −0.208137 | − | 0.978100i | \(-0.566740\pi\) |
0.138945 | + | 0.990300i | \(0.455629\pi\) | |||||||
\(410\) | −2.54080 | + | 14.4096i | −0.125481 | + | 0.711638i | ||||
\(411\) | −2.27182 | + | 0.826875i | −0.112061 | + | 0.0407867i | ||||
\(412\) | −10.1147 | + | 12.0542i | −0.498313 | + | 0.593866i | ||||
\(413\) | − | 0.839043i | − | 0.0412866i | ||||||
\(414\) | 0.517834 | + | 0.434515i | 0.0254502 | + | 0.0213552i | ||||
\(415\) | 41.1107 | − | 23.7353i | 2.01805 | − | 1.16512i | ||||
\(416\) | 4.38867 | + | 1.59735i | 0.215172 | + | 0.0783164i | ||||
\(417\) | 7.60198 | − | 13.1670i | 0.372271 | − | 0.644792i | ||||
\(418\) | −8.99661 | − | 15.5826i | −0.440038 | − | 0.762169i | ||||
\(419\) | −2.36856 | − | 13.4328i | −0.115712 | − | 0.656235i | −0.986395 | − | 0.164391i | \(-0.947434\pi\) |
0.870683 | − | 0.491844i | \(-0.163677\pi\) | |||||||
\(420\) | −0.322657 | − | 0.886494i | −0.0157441 | − | 0.0432565i | ||||
\(421\) | −24.2468 | − | 13.9989i | −1.18172 | − | 0.682264i | −0.225306 | − | 0.974288i | \(-0.572338\pi\) |
−0.956411 | + | 0.292024i | \(0.905671\pi\) | |||||||
\(422\) | 2.89812 | + | 3.45385i | 0.141078 | + | 0.168131i | ||||
\(423\) | 4.10475 | − | 3.44429i | 0.199580 | − | 0.167467i | ||||
\(424\) | 3.86472 | − | 10.6182i | 0.187687 | − | 0.515667i | ||||
\(425\) | −30.0005 | − | 5.28989i | −1.45524 | − | 0.256597i | ||||
\(426\) | −21.3707 | − | 3.76823i | −1.03541 | − | 0.182571i | ||||
\(427\) | 0.720170 | − | 1.97865i | 0.0348515 | − | 0.0957536i | ||||
\(428\) | 14.2607 | − | 11.9661i | 0.689316 | − | 0.578405i | ||||
\(429\) | 19.9773 | + | 23.8081i | 0.964515 | + | 1.14946i | ||||
\(430\) | −1.06664 | − | 0.615823i | −0.0514378 | − | 0.0296976i | ||||
\(431\) | −0.974582 | − | 2.67764i | −0.0469440 | − | 0.128977i | 0.914005 | − | 0.405703i | \(-0.132973\pi\) |
−0.960949 | + | 0.276725i | \(0.910751\pi\) | |||||||
\(432\) | 0.971782 | + | 5.51125i | 0.0467549 | + | 0.265160i | ||||
\(433\) | 15.5676 | + | 26.9638i | 0.748130 | + | 1.29580i | 0.948718 | + | 0.316123i | \(0.102381\pi\) |
−0.200588 | + | 0.979676i | \(0.564285\pi\) | |||||||
\(434\) | 0.510755 | − | 0.884654i | 0.0245170 | − | 0.0424647i | ||||
\(435\) | −6.44693 | − | 2.34649i | −0.309106 | − | 0.112506i | ||||
\(436\) | 0.00608240 | − | 0.00351168i | 0.000291294 | − | 0.000168179i | ||||
\(437\) | −3.28659 | − | 2.75777i | −0.157219 | − | 0.131922i | ||||
\(438\) | − | 11.1473i | − | 0.532638i | ||||||
\(439\) | −18.4994 | + | 22.0467i | −0.882929 | + | 1.05223i | 0.115335 | + | 0.993327i | \(0.463206\pi\) |
−0.998263 | + | 0.0589066i | \(0.981239\pi\) | |||||||
\(440\) | 12.5685 | − | 4.57455i | 0.599179 | − | 0.218083i | ||||
\(441\) | 0.788854 | − | 4.47381i | 0.0375645 | − | 0.213039i | ||||
\(442\) | 31.2584 | − | 5.51170i | 1.48681 | − | 0.262165i | ||||
\(443\) | −19.3903 | −0.921259 | −0.460630 | − | 0.887592i | \(-0.652376\pi\) | ||||
−0.460630 | + | 0.887592i | \(0.652376\pi\) | |||||||
\(444\) | −1.93056 | + | 9.11718i | −0.0916203 | + | 0.432682i | ||||
\(445\) | −9.89793 | −0.469207 | ||||||||
\(446\) | −13.4346 | + | 2.36888i | −0.636147 | + | 0.112170i | ||||
\(447\) | −3.41877 | + | 19.3888i | −0.161702 | + | 0.917060i | ||||
\(448\) | 0.187903 | − | 0.0683910i | 0.00887757 | − | 0.00323117i | ||||
\(449\) | 10.9788 | − | 13.0840i | 0.518120 | − | 0.617472i | −0.442015 | − | 0.897008i | \(-0.645736\pi\) |
0.960135 | + | 0.279536i | \(0.0901806\pi\) | |||||||
\(450\) | 2.92567i | 0.137917i | ||||||||
\(451\) | −15.8101 | − | 13.2662i | −0.744466 | − | 0.624681i | ||||
\(452\) | 2.21929 | − | 1.28131i | 0.104387 | − | 0.0602677i | ||||
\(453\) | 7.46672 | + | 2.71766i | 0.350817 | + | 0.127687i | ||||
\(454\) | 13.6191 | − | 23.5890i | 0.639175 | − | 1.10708i | ||||
\(455\) | 1.43788 | + | 2.49049i | 0.0674090 | + | 0.116756i | ||||
\(456\) | −1.10211 | − | 6.25037i | −0.0516110 | − | 0.292700i | ||||
\(457\) | −0.826507 | − | 2.27081i | −0.0386623 | − | 0.106224i | 0.918859 | − | 0.394585i | \(-0.129112\pi\) |
−0.957522 | + | 0.288361i | \(0.906890\pi\) | |||||||
\(458\) | −1.76493 | − | 1.01898i | −0.0824697 | − | 0.0476139i | ||||
\(459\) | 24.4475 | + | 29.1354i | 1.14111 | + | 1.35992i | ||||
\(460\) | 2.44306 | − | 2.04997i | 0.113908 | − | 0.0955802i | ||||
\(461\) | −6.40945 | + | 17.6098i | −0.298518 | + | 0.820171i | 0.696230 | + | 0.717819i | \(0.254859\pi\) |
−0.994748 | + | 0.102353i | \(0.967363\pi\) | |||||||
\(462\) | 1.31045 | + | 0.231068i | 0.0609678 | + | 0.0107503i | ||||
\(463\) | 5.08108 | + | 0.895932i | 0.236138 | + | 0.0416375i | 0.290465 | − | 0.956886i | \(-0.406190\pi\) |
−0.0543267 | + | 0.998523i | \(0.517301\pi\) | |||||||
\(464\) | 0.497366 | − | 1.36650i | 0.0230896 | − | 0.0634382i | ||||
\(465\) | 18.4626 | − | 15.4919i | 0.856181 | − | 0.718421i | ||||
\(466\) | −2.49720 | − | 2.97604i | −0.115680 | − | 0.137863i | ||||
\(467\) | −26.7874 | − | 15.4657i | −1.23957 | − | 0.715668i | −0.270566 | − | 0.962701i | \(-0.587211\pi\) |
−0.969007 | + | 0.247034i | \(0.920544\pi\) | |||||||
\(468\) | −1.04259 | − | 2.86450i | −0.0481939 | − | 0.132412i | ||||
\(469\) | 0.302471 | + | 1.71540i | 0.0139668 | + | 0.0792097i | ||||
\(470\) | −12.6399 | − | 21.8930i | −0.583037 | − | 1.00985i | ||||
\(471\) | 9.16461 | − | 15.8736i | 0.422283 | − | 0.731416i | ||||
\(472\) | 3.94296 | + | 1.43512i | 0.181490 | + | 0.0660568i | ||||
\(473\) | 1.50451 | − | 0.868631i | 0.0691776 | − | 0.0399397i | ||||
\(474\) | 7.38867 | + | 6.19983i | 0.339373 | + | 0.284768i | ||||
\(475\) | − | 18.5686i | − | 0.851985i | ||||||
\(476\) | 0.873540 | − | 1.04104i | 0.0400386 | − | 0.0477162i | ||||
\(477\) | −6.93056 | + | 2.52252i | −0.317328 | + | 0.115498i | ||||
\(478\) | 3.22473 | − | 18.2884i | 0.147496 | − | 0.836491i | ||||
\(479\) | 12.6827 | − | 2.23629i | 0.579485 | − | 0.102179i | 0.123780 | − | 0.992310i | \(-0.460498\pi\) |
0.455705 | + | 0.890131i | \(0.349387\pi\) | |||||||
\(480\) | 4.71783 | 0.215339 | ||||||||
\(481\) | 0.969525 | − | 28.3920i | 0.0442065 | − | 1.29456i | ||||
\(482\) | −25.3378 | −1.15410 | ||||||||
\(483\) | 0.312467 | − | 0.0550963i | 0.0142177 | − | 0.00250697i | ||||
\(484\) | −1.36590 | + | 7.74638i | −0.0620862 | + | 0.352108i | ||||
\(485\) | −6.92815 | + | 2.52164i | −0.314591 | + | 0.114502i | ||||
\(486\) | 4.27628 | − | 5.09627i | 0.193976 | − | 0.231171i | ||||
\(487\) | 17.2601i | 0.782130i | 0.920363 | + | 0.391065i | \(0.127893\pi\) | ||||
−0.920363 | + | 0.391065i | \(0.872107\pi\) | |||||||
\(488\) | 8.06659 | + | 6.76867i | 0.365157 | + | 0.306403i | ||||
\(489\) | 0.937942 | − | 0.541521i | 0.0424152 | − | 0.0244884i | ||||
\(490\) | −20.1398 | − | 7.33028i | −0.909822 | − | 0.331148i | ||||
\(491\) | −8.55331 | + | 14.8148i | −0.386005 | + | 0.668581i | −0.991908 | − | 0.126958i | \(-0.959479\pi\) |
0.605903 | + | 0.795539i | \(0.292812\pi\) | |||||||
\(492\) | −3.63995 | − | 6.30457i | −0.164101 | − | 0.284232i | ||||
\(493\) | −1.71618 | − | 9.73293i | −0.0772928 | − | 0.438349i | ||||
\(494\) | 6.61713 | + | 18.1804i | 0.297719 | + | 0.817975i | ||||
\(495\) | −7.56038 | − | 4.36499i | −0.339814 | − | 0.196192i | ||||
\(496\) | 3.28370 | + | 3.91336i | 0.147442 | + | 0.175715i | ||||
\(497\) | 2.16962 | − | 1.82053i | 0.0973208 | − | 0.0816619i | ||||
\(498\) | −8.07795 | + | 22.1940i | −0.361982 | + | 0.994537i | ||||
\(499\) | −18.2596 | − | 3.21965i | −0.817410 | − | 0.144131i | −0.250717 | − | 0.968060i | \(-0.580666\pi\) |
−0.566693 | + | 0.823929i | \(0.691777\pi\) | |||||||
\(500\) | −1.56972 | − | 0.276784i | −0.0702000 | − | 0.0123782i | ||||
\(501\) | 3.46360 | − | 9.51615i | 0.154742 | − | 0.425150i | ||||
\(502\) | −9.73819 | + | 8.17131i | −0.434637 | + | 0.364703i | ||||
\(503\) | 2.15713 | + | 2.57077i | 0.0961818 | + | 0.114625i | 0.811988 | − | 0.583674i | \(-0.198385\pi\) |
−0.715807 | + | 0.698299i | \(0.753941\pi\) | |||||||
\(504\) | −0.113030 | − | 0.0652579i | −0.00503476 | − | 0.00290682i | ||||
\(505\) | 11.5462 | + | 31.7230i | 0.513800 | + | 1.41165i | ||||
\(506\) | 0.781141 | + | 4.43007i | 0.0347260 | + | 0.196941i | ||||
\(507\) | −6.75037 | − | 11.6920i | −0.299794 | − | 0.519259i | ||||
\(508\) | −2.90351 | + | 5.02902i | −0.128822 | + | 0.223127i | ||||
\(509\) | 10.3552 | + | 3.76897i | 0.458984 | + | 0.167057i | 0.561156 | − | 0.827710i | \(-0.310357\pi\) |
−0.102171 | + | 0.994767i | \(0.532579\pi\) | |||||||
\(510\) | 27.7678 | − | 16.0317i | 1.22958 | − | 0.709897i | ||||
\(511\) | 1.11452 | + | 0.935191i | 0.0493033 | + | 0.0413704i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −14.9017 | + | 17.7592i | −0.657926 | + | 0.784086i | ||||
\(514\) | −4.08494 | + | 1.48680i | −0.180179 | + | 0.0655798i | ||||
\(515\) | 8.41419 | − | 47.7192i | 0.370774 | − | 2.10276i | ||||
\(516\) | 0.603479 | − | 0.106410i | 0.0265667 | − | 0.00468442i | ||||
\(517\) | 35.6578 | 1.56823 | ||||||||
\(518\) | −0.749582 | − | 0.957896i | −0.0329347 | − | 0.0420875i | ||||
\(519\) | −23.5967 | −1.03578 | ||||||||
\(520\) | −14.1631 | + | 2.49733i | −0.621092 | + | 0.109515i | ||||
\(521\) | −1.36004 | + | 7.71318i | −0.0595845 | + | 0.337921i | −0.999998 | − | 0.00211306i | \(-0.999327\pi\) |
0.940413 | + | 0.340034i | \(0.110439\pi\) | |||||||
\(522\) | −0.891920 | + | 0.324633i | −0.0390383 | + | 0.0142088i | ||||
\(523\) | 1.16527 | − | 1.38872i | 0.0509538 | − | 0.0607244i | −0.739966 | − | 0.672645i | \(-0.765158\pi\) |
0.790919 | + | 0.611920i | \(0.209603\pi\) | |||||||
\(524\) | 8.36959i | 0.365627i | ||||||||
\(525\) | 1.05195 | + | 0.882688i | 0.0459107 | + | 0.0385237i | ||||
\(526\) | −5.63903 | + | 3.25569i | −0.245873 | + | 0.141955i | ||||
\(527\) | 32.6249 | + | 11.8745i | 1.42116 | + | 0.517261i | ||||
\(528\) | −3.32730 | + | 5.76306i | −0.144802 | + | 0.250805i | ||||
\(529\) | −10.9637 | − | 18.9897i | −0.476682 | − | 0.825638i | ||||
\(530\) | 6.04220 | + | 34.2670i | 0.262456 | + | 1.48846i | ||||
\(531\) | −0.936708 | − | 2.57359i | −0.0406497 | − | 0.111684i | ||||
\(532\) | 0.717378 | + | 0.414178i | 0.0311023 | + | 0.0179569i | ||||
\(533\) | 14.2645 | + | 16.9997i | 0.617863 | + | 0.736341i | ||||
\(534\) | 3.77245 | − | 3.16546i | 0.163250 | − | 0.136983i | ||||
\(535\) | −19.6063 | + | 53.8680i | −0.847656 | + | 2.32892i | ||||
\(536\) | −8.57863 | − | 1.51264i | −0.370540 | − | 0.0653362i | ||||
\(537\) | −3.85408 | − | 0.679579i | −0.166316 | − | 0.0293260i | ||||
\(538\) | −3.38673 | + | 9.30496i | −0.146012 | + | 0.401165i | ||||
\(539\) | 23.1581 | − | 19.4319i | 0.997489 | − | 0.836993i | ||||
\(540\) | −11.0771 | − | 13.2011i | −0.476681 | − | 0.568086i | ||||
\(541\) | −6.02197 | − | 3.47679i | −0.258905 | − | 0.149479i | 0.364930 | − | 0.931035i | \(-0.381093\pi\) |
−0.623835 | + | 0.781556i | \(0.714426\pi\) | |||||||
\(542\) | −3.08676 | − | 8.48080i | −0.132588 | − | 0.364282i | ||||
\(543\) | −2.23157 | − | 12.6559i | −0.0957659 | − | 0.543116i | ||||
\(544\) | 3.39811 | + | 5.88571i | 0.145693 | + | 0.252348i | ||||
\(545\) | −0.0108137 | + | 0.0187298i | −0.000463207 | + | 0.000802298i | ||||
\(546\) | −1.34451 | − | 0.489362i | −0.0575398 | − | 0.0209428i | ||||
\(547\) | 4.21435 | − | 2.43316i | 0.180193 | − | 0.104034i | −0.407191 | − | 0.913343i | \(-0.633492\pi\) |
0.587383 | + | 0.809309i | \(0.300158\pi\) | |||||||
\(548\) | 1.20881 | + | 1.01431i | 0.0516378 | + | 0.0433293i | ||||
\(549\) | − | 6.87309i | − | 0.293336i | ||||||
\(550\) | −12.5145 | + | 14.9142i | −0.533621 | + | 0.635945i | ||||
\(551\) | 5.66083 | − | 2.06037i | 0.241160 | − | 0.0877749i | ||||
\(552\) | −0.275534 | + | 1.56263i | −0.0117275 | + | 0.0665100i | ||||
\(553\) | −1.23973 | + | 0.218598i | −0.0527187 | + | 0.00929573i | ||||
\(554\) | 0.208088 | 0.00884079 | ||||||||
\(555\) | −8.88907 | − | 27.2861i | −0.377320 | − | 1.15823i | ||||
\(556\) | −9.92368 | −0.420858 | ||||||||
\(557\) | −7.17172 | + | 1.26457i | −0.303876 | + | 0.0535815i | −0.323507 | − | 0.946226i | \(-0.604862\pi\) |
0.0196313 | + | 0.999807i | \(0.493751\pi\) | |||||||
\(558\) | 0.579004 | − | 3.28370i | 0.0245112 | − | 0.139010i | ||||
\(559\) | −1.75534 | + | 0.638890i | −0.0742428 | + | 0.0270222i | ||||
\(560\) | −0.395798 | + | 0.471694i | −0.0167255 | + | 0.0199327i | ||||
\(561\) | 45.2262i | 1.90945i | ||||||||
\(562\) | 20.7286 | + | 17.3934i | 0.874384 | + | 0.733695i | ||||
\(563\) | 23.9124 | − | 13.8058i | 1.00779 | − | 0.581845i | 0.0972430 | − | 0.995261i | \(-0.468998\pi\) |
0.910543 | + | 0.413415i | \(0.135664\pi\) | |||||||
\(564\) | 11.8191 | + | 4.30182i | 0.497676 | + | 0.181139i | ||||
\(565\) | −3.94560 | + | 6.83397i | −0.165992 | + | 0.287507i | ||||
\(566\) | −0.406447 | − | 0.703987i | −0.0170842 | − | 0.0295908i | ||||
\(567\) | −0.229723 | − | 1.30282i | −0.00964746 | − | 0.0547134i | ||||
\(568\) | 4.84434 | + | 13.3097i | 0.203264 | + | 0.558463i | ||||
\(569\) | −4.89110 | − | 2.82388i | −0.205046 | − | 0.118383i | 0.393961 | − | 0.919127i | \(-0.371104\pi\) |
−0.599007 | + | 0.800744i | \(0.704438\pi\) | |||||||
\(570\) | 12.5626 | + | 14.9715i | 0.526190 | + | 0.627089i | ||||
\(571\) | 10.3379 | − | 8.67450i | 0.432626 | − | 0.363016i | −0.400315 | − | 0.916377i | \(-0.631099\pi\) |
0.832942 | + | 0.553361i | \(0.186655\pi\) | |||||||
\(572\) | 6.93805 | − | 19.0621i | 0.290095 | − | 0.797029i | ||||
\(573\) | 9.77986 | + | 1.72445i | 0.408560 | + | 0.0720401i | ||||
\(574\) | 0.935706 | + | 0.164990i | 0.0390556 | + | 0.00688656i | ||||
\(575\) | −1.58775 | + | 4.36230i | −0.0662136 | + | 0.181920i | ||||
\(576\) | 0.500000 | − | 0.419550i | 0.0208333 | − | 0.0174812i | ||||
\(577\) | 27.0708 | + | 32.2617i | 1.12697 | + | 1.34307i | 0.932083 | + | 0.362246i | \(0.117990\pi\) |
0.194888 | + | 0.980825i | \(0.437566\pi\) | |||||||
\(578\) | 25.2782 | + | 14.5944i | 1.05143 | + | 0.607045i | ||||
\(579\) | −10.9951 | − | 30.2087i | −0.456940 | − | 1.25543i | ||||
\(580\) | 0.777594 | + | 4.40996i | 0.0322879 | + | 0.183114i | ||||
\(581\) | −1.54128 | − | 2.66958i | −0.0639433 | − | 0.110753i | ||||
\(582\) | 1.83412 | − | 3.17678i | 0.0760266 | − | 0.131682i | ||||
\(583\) | −46.1201 | − | 16.7864i | −1.91010 | − | 0.695220i | ||||
\(584\) | −6.30110 | + | 3.63794i | −0.260741 | + | 0.150539i | ||||
\(585\) | 7.19078 | + | 6.03378i | 0.297302 | + | 0.249466i | ||||
\(586\) | − | 8.79957i | − | 0.363507i | ||||||
\(587\) | −26.6651 | + | 31.7782i | −1.10059 | + | 1.31163i | −0.154398 | + | 0.988009i | \(0.549344\pi\) |
−0.946188 | + | 0.323618i | \(0.895101\pi\) | |||||||
\(588\) | 10.0203 | − | 3.64708i | 0.413229 | − | 0.150403i | ||||
\(589\) | −3.67482 | + | 20.8409i | −0.151418 | + | 0.858735i | ||||
\(590\) | −12.7247 | + | 2.24370i | −0.523867 | + | 0.0923718i | ||||
\(591\) | 2.54035 | 0.104496 | ||||||||
\(592\) | 5.78360 | − | 1.88414i | 0.237704 | − | 0.0774378i | ||||
\(593\) | −29.6746 | −1.21859 | −0.609295 | − | 0.792944i | \(-0.708548\pi\) | ||||
−0.609295 | + | 0.792944i | \(0.708548\pi\) | |||||||
\(594\) | 23.9380 | − | 4.22092i | 0.982189 | − | 0.173186i | ||||
\(595\) | −0.726682 | + | 4.12122i | −0.0297910 | + | 0.168953i | ||||
\(596\) | 12.0754 | − | 4.39509i | 0.494628 | − | 0.180030i | ||||
\(597\) | −7.11013 | + | 8.47352i | −0.290998 | + | 0.346798i | ||||
\(598\) | − | 4.83691i | − | 0.197796i | ||||||
\(599\) | −3.43909 | − | 2.88574i | −0.140517 | − | 0.117908i | 0.569820 | − | 0.821770i | \(-0.307013\pi\) |
−0.710337 | + | 0.703862i | \(0.751457\pi\) | |||||||
\(600\) | −5.94735 | + | 3.43370i | −0.242799 | + | 0.140180i | ||||
\(601\) | 13.3480 | + | 4.85827i | 0.544476 | + | 0.198173i | 0.599590 | − | 0.800307i | \(-0.295330\pi\) |
−0.0551145 | + | 0.998480i | \(0.517552\pi\) | |||||||
\(602\) | −0.0399893 | + | 0.0692636i | −0.00162984 | + | 0.00282297i | ||||
\(603\) | 2.84284 | + | 4.92394i | 0.115769 | + | 0.200518i | ||||
\(604\) | −0.900597 | − | 5.10754i | −0.0366448 | − | 0.207823i | ||||
\(605\) | −8.28433 | − | 22.7610i | −0.336806 | − | 0.925367i | ||||
\(606\) | −14.5460 | − | 8.39814i | −0.590891 | − | 0.341151i | ||||
\(607\) | −16.2460 | − | 19.3612i | −0.659405 | − | 0.785848i | 0.327895 | − | 0.944714i | \(-0.393661\pi\) |
−0.987300 | + | 0.158866i | \(0.949216\pi\) | |||||||
\(608\) | −3.17339 | + | 2.66279i | −0.128698 | + | 0.107991i | ||||
\(609\) | −0.152373 | + | 0.418641i | −0.00617445 | + | 0.0169642i | ||||
\(610\) | −31.9335 | − | 5.63073i | −1.29295 | − | 0.227982i | ||||
\(611\) | −37.7585 | − | 6.65785i | −1.52755 | − | 0.269348i | ||||
\(612\) | 1.51718 | − | 4.16840i | 0.0613282 | − | 0.168498i | ||||
\(613\) | 1.12722 | − | 0.945851i | 0.0455280 | − | 0.0382025i | −0.619740 | − | 0.784807i | \(-0.712762\pi\) |
0.665268 | + | 0.746605i | \(0.268317\pi\) | |||||||
\(614\) | 15.7188 | + | 18.7330i | 0.634360 | + | 0.756001i | ||||
\(615\) | 19.4140 | + | 11.2087i | 0.782846 | + | 0.451977i | ||||
\(616\) | −0.297055 | − | 0.816153i | −0.0119687 | − | 0.0328837i | ||||
\(617\) | −2.72180 | − | 15.4361i | −0.109575 | − | 0.621433i | −0.989294 | − | 0.145938i | \(-0.953380\pi\) |
0.879718 | − | 0.475495i | \(-0.157731\pi\) | |||||||
\(618\) | 12.0542 | + | 20.8784i | 0.484890 | + | 0.839854i | ||||
\(619\) | −20.1519 | + | 34.9042i | −0.809974 | + | 1.40292i | 0.102907 | + | 0.994691i | \(0.467186\pi\) |
−0.912881 | + | 0.408226i | \(0.866148\pi\) | |||||||
\(620\) | −14.7822 | − | 5.38029i | −0.593669 | − | 0.216078i | ||||
\(621\) | 5.01938 | − | 2.89794i | 0.201421 | − | 0.116290i | ||||
\(622\) | −0.00972517 | − | 0.00816038i | −0.000389944 | − | 0.000327202i | ||||
\(623\) | 0.642736i | 0.0257507i | ||||||||
\(624\) | 4.59938 | − | 5.48132i | 0.184122 | − | 0.219429i | ||||
\(625\) | 25.6726 | − | 9.34405i | 1.02690 | − | 0.373762i | ||||
\(626\) | −3.03336 | + | 17.2031i | −0.121238 | + | 0.687572i | ||||
\(627\) | −27.1484 | + | 4.78699i | −1.08420 | + | 0.191174i | ||||
\(628\) | −11.9635 | −0.477398 | ||||||||
\(629\) | 27.6380 | − | 30.7428i | 1.10200 | − | 1.22580i | ||||
\(630\) | 0.401904 | 0.0160122 | ||||||||
\(631\) | 29.0845 | − | 5.12838i | 1.15783 | − | 0.204158i | 0.438441 | − | 0.898760i | \(-0.355531\pi\) |
0.719394 | + | 0.694602i | \(0.244420\pi\) | |||||||
\(632\) | 1.09320 | − | 6.19983i | 0.0434851 | − | 0.246616i | ||||
\(633\) | 6.49111 | − | 2.36257i | 0.257999 | − | 0.0939038i | ||||
\(634\) | −1.75410 | + | 2.09046i | −0.0696644 | + | 0.0830228i | ||||
\(635\) | − | 17.8818i | − | 0.709618i | ||||||
\(636\) | −13.2619 | − | 11.1280i | −0.525867 | − | 0.441254i | ||||
\(637\) | −28.1506 | + | 16.2528i | −1.11537 | + | 0.643959i | ||||
\(638\) | −5.93538 | − | 2.16030i | −0.234984 | − | 0.0855272i | ||||
\(639\) | 4.62241 | − | 8.00626i | 0.182860 | − | 0.316723i | ||||
\(640\) | −1.53967 | − | 2.66679i | −0.0608609 | − | 0.105414i | ||||
\(641\) | −4.14227 | − | 23.4920i | −0.163610 | − | 0.927877i | −0.950486 | − | 0.310767i | \(-0.899414\pi\) |
0.786876 | − | 0.617111i | \(-0.211697\pi\) | |||||||
\(642\) | −9.75488 | − | 26.8013i | −0.384994 | − | 1.05776i | ||||
\(643\) | 17.4120 | + | 10.0528i | 0.686663 | + | 0.396445i | 0.802361 | − | 0.596839i | \(-0.203577\pi\) |
−0.115698 | + | 0.993284i | \(0.536910\pi\) | |||||||
\(644\) | −0.133118 | − | 0.158643i | −0.00524557 | − | 0.00625143i | ||||
\(645\) | −1.44552 | + | 1.21293i | −0.0569172 | + | 0.0477592i | ||||
\(646\) | −9.62919 | + | 26.4560i | −0.378855 | + | 1.04090i | ||||
\(647\) | 15.3079 | + | 2.69919i | 0.601815 | + | 0.106116i | 0.466251 | − | 0.884652i | \(-0.345604\pi\) |
0.135564 | + | 0.990769i | \(0.456715\pi\) | |||||||
\(648\) | 6.51536 | + | 1.14883i | 0.255947 | + | 0.0451304i | ||||
\(649\) | 6.23343 | − | 17.1262i | 0.244683 | − | 0.672262i | ||||
\(650\) | 16.0365 | − | 13.4562i | 0.629004 | − | 0.527797i | ||||
\(651\) | −1.00599 | − | 1.19889i | −0.0394279 | − | 0.0469883i | ||||
\(652\) | −0.612198 | − | 0.353453i | −0.0239755 | − | 0.0138423i | ||||
\(653\) | 1.10893 | + | 3.04676i | 0.0433958 | + | 0.119229i | 0.959498 | − | 0.281717i | \(-0.0909038\pi\) |
−0.916102 | + | 0.400946i | \(0.868682\pi\) | |||||||
\(654\) | −0.00186852 | − | 0.0105969i | −7.30651e−5 | − | 0.000414373i | ||||
\(655\) | −12.8864 | − | 22.3199i | −0.503514 | − | 0.872113i | ||||
\(656\) | −2.37581 | + | 4.11502i | −0.0927596 | + | 0.160664i | ||||
\(657\) | 4.46259 | + | 1.62425i | 0.174102 | + | 0.0633681i | ||||
\(658\) | −1.42166 | + | 0.820793i | −0.0554219 | + | 0.0319978i | ||||
\(659\) | −10.8426 | − | 9.09798i | −0.422366 | − | 0.354407i | 0.406696 | − | 0.913563i | \(-0.366681\pi\) |
−0.829062 | + | 0.559156i | \(0.811125\pi\) | |||||||
\(660\) | − | 20.4918i | − | 0.797644i | ||||||
\(661\) | 30.2776 | − | 36.0835i | 1.17766 | − | 1.40348i | 0.281614 | − | 0.959528i | \(-0.409130\pi\) |
0.896049 | − | 0.443956i | \(-0.146425\pi\) | |||||||
\(662\) | 22.1918 | − | 8.07717i | 0.862510 | − | 0.313928i | ||||
\(663\) | 8.44442 | − | 47.8907i | 0.327954 | − | 1.85992i | ||||
\(664\) | 15.1816 | − | 2.67692i | 0.589160 | − | 0.103885i | ||||
\(665\) | −2.55080 | −0.0989157 | ||||||||
\(666\) | −3.36858 | − | 2.10131i | −0.130530 | − | 0.0814240i | ||||
\(667\) | −1.50607 | −0.0583153 | ||||||||
\(668\) | −6.50943 | + | 1.14779i | −0.251857 | + | 0.0444093i | ||||
\(669\) | −3.62934 | + | 20.5830i | −0.140318 | + | 0.795785i | ||||
\(670\) | 25.2064 | − | 9.17438i | 0.973808 | − | 0.354437i | ||||
\(671\) | 29.3996 | − | 35.0371i | 1.13496 | − | 1.35259i | ||||
\(672\) | − | 0.306359i | − | 0.0118181i | ||||||
\(673\) | −3.74538 | − | 3.14274i | −0.144374 | − | 0.121144i | 0.567740 | − | 0.823208i | \(-0.307818\pi\) |
−0.712114 | + | 0.702064i | \(0.752262\pi\) | |||||||
\(674\) | −19.4385 | + | 11.2228i | −0.748742 | + | 0.432287i | ||||
\(675\) | 23.5718 | + | 8.57943i | 0.907279 | + | 0.330223i | ||||
\(676\) | −4.40599 | + | 7.63140i | −0.169461 | + | 0.293515i | ||||
\(677\) | −2.95124 | − | 5.11171i | −0.113426 | − | 0.196459i | 0.803724 | − | 0.595003i | \(-0.202849\pi\) |
−0.917149 | + | 0.398544i | \(0.869516\pi\) | |||||||
\(678\) | −0.681770 | − | 3.86651i | −0.0261832 | − | 0.148492i | ||||
\(679\) | 0.163746 | + | 0.449890i | 0.00628401 | + | 0.0172652i | ||||
\(680\) | −18.1241 | − | 10.4640i | −0.695029 | − | 0.401275i | ||||
\(681\) | −26.8244 | − | 31.9680i | −1.02791 | − | 1.22502i | ||||
\(682\) | 16.9976 | − | 14.2627i | 0.650872 | − | 0.546147i | ||||
\(683\) | 7.74555 | − | 21.2807i | 0.296375 | − | 0.814285i | −0.698723 | − | 0.715392i | \(-0.746248\pi\) |
0.995098 | − | 0.0988921i | \(-0.0315299\pi\) | |||||||
\(684\) | 2.66279 | + | 0.469523i | 0.101814 | + | 0.0179526i | ||||
\(685\) | −4.78536 | − | 0.843787i | −0.182839 | − | 0.0322395i | ||||
\(686\) | −0.954739 | + | 2.62313i | −0.0364521 | + | 0.100151i | ||||
\(687\) | −2.39185 | + | 2.00700i | −0.0912549 | + | 0.0765720i | ||||
\(688\) | −0.257095 | − | 0.306394i | −0.00980167 | − | 0.0116812i | ||||
\(689\) | 45.7030 | + | 26.3866i | 1.74114 | + | 1.00525i | ||||
\(690\) | −1.67115 | − | 4.59144i | −0.0636195 | − | 0.174793i | ||||
\(691\) | 7.27318 | + | 41.2483i | 0.276685 | + | 1.56916i | 0.733559 | + | 0.679626i | \(0.237858\pi\) |
−0.456874 | + | 0.889531i | \(0.651031\pi\) | |||||||
\(692\) | 7.70082 | + | 13.3382i | 0.292741 | + | 0.507042i | ||||
\(693\) | −0.283447 | + | 0.490945i | −0.0107673 | + | 0.0186494i | ||||
\(694\) | 1.14183 | + | 0.415593i | 0.0433433 | + | 0.0157757i | ||||
\(695\) | 26.4644 | − | 15.2792i | 1.00385 | − | 0.579574i | ||||
\(696\) | −1.70672 | − | 1.43211i | −0.0646930 | − | 0.0542839i | ||||
\(697\) | 32.2930i | 1.22319i | ||||||||
\(698\) | −11.4027 | + | 13.5892i | −0.431599 | + | 0.514360i | ||||
\(699\) | −5.59313 | + | 2.03573i | −0.211552 | + | 0.0769985i | ||||
\(700\) | 0.155642 | − | 0.882688i | 0.00588271 | − | 0.0333625i | ||||
\(701\) | 8.72989 | − | 1.53931i | 0.329723 | − | 0.0581391i | −0.00633605 | − | 0.999980i | \(-0.502017\pi\) |
0.336059 | + | 0.941841i | \(0.390906\pi\) | |||||||
\(702\) | −26.1364 | −0.986455 | ||||||||
\(703\) | 21.3797 | + | 13.3366i | 0.806349 | + | 0.502998i | ||||
\(704\) | 4.34349 | 0.163701 | ||||||||
\(705\) | −38.1426 | + | 6.72557i | −1.43653 | + | 0.253300i | ||||
\(706\) | −0.278889 | + | 1.58166i | −0.0104961 | + | 0.0595265i | ||||
\(707\) | 2.05998 | − | 0.749770i | 0.0774734 | − | 0.0281980i | ||||
\(708\) | 4.13227 | − | 4.92464i | 0.155300 | − | 0.185079i | ||||
\(709\) | 45.8415i | 1.72161i | 0.508931 | + | 0.860807i | \(0.330041\pi\) | ||||
−0.508931 | + | 0.860807i | \(0.669959\pi\) | |||||||
\(710\) | −33.4115 | − | 28.0355i | −1.25391 | − | 1.05216i | ||||
\(711\) | −3.55857 | + | 2.05454i | −0.133457 | + | 0.0770513i | ||||
\(712\) | −3.02045 | − | 1.09935i | −0.113196 | − | 0.0412000i | ||||
\(713\) | 2.64537 | − | 4.58191i | 0.0990698 | − | 0.171594i | ||||
\(714\) | −1.04104 | − | 1.80314i | −0.0389601 | − | 0.0674809i | ||||
\(715\) | 10.8471 | + | 61.5171i | 0.405660 | + | 2.30061i | ||||
\(716\) | 0.873650 | + | 2.40033i | 0.0326498 | + | 0.0897047i | ||||
\(717\) | −24.6399 | − | 14.2258i | −0.920192 | − | 0.531273i | ||||
\(718\) | −20.5772 | − | 24.5229i | −0.767934 | − | 0.915188i | ||||
\(719\) | −4.97255 | + | 4.17246i | −0.185445 | + | 0.155607i | −0.730784 | − | 0.682609i | \(-0.760845\pi\) |
0.545339 | + | 0.838215i | \(0.316401\pi\) | |||||||
\(720\) | −0.687427 | + | 1.88869i | −0.0256189 | + | 0.0703873i | ||||
\(721\) | −3.09872 | − | 0.546388i | −0.115402 | − | 0.0203485i | ||||
\(722\) | 1.81115 | + | 0.319355i | 0.0674041 | + | 0.0118852i | ||||
\(723\) | −13.2771 | + | 36.4786i | −0.493781 | + | 1.35665i | ||||
\(724\) | −6.42556 | + | 5.39168i | −0.238804 | + | 0.200380i | ||||
\(725\) | −4.18987 | − | 4.99329i | −0.155608 | − | 0.185446i | ||||
\(726\) | 10.4367 | + | 6.02561i | 0.387341 | + | 0.223631i | ||||
\(727\) | 9.11998 | + | 25.0569i | 0.338241 | + | 0.929310i | 0.985893 | + | 0.167374i | \(0.0535287\pi\) |
−0.647652 | + | 0.761936i | \(0.724249\pi\) | |||||||
\(728\) | 0.162168 | + | 0.919700i | 0.00601034 | + | 0.0340864i | ||||
\(729\) | −15.0201 | − | 26.0155i | −0.556299 | − | 0.963538i | ||||
\(730\) | 11.2025 | − | 19.4033i | 0.414622 | − | 0.718147i | ||||
\(731\) | −2.55435 | − | 0.929708i | −0.0944761 | − | 0.0343865i | ||||
\(732\) | 13.9717 | − | 8.06659i | 0.516410 | − | 0.298150i | ||||
\(733\) | −37.4593 | − | 31.4321i | −1.38359 | − | 1.16097i | −0.967862 | − | 0.251482i | \(-0.919082\pi\) |
−0.415729 | − | 0.909489i | \(-0.636473\pi\) | |||||||
\(734\) | 16.0363i | 0.591910i | ||||||||
\(735\) | −21.1067 | + | 25.1540i | −0.778532 | + | 0.927819i | ||||
\(736\) | 0.973210 | − | 0.354220i | 0.0358730 | − | 0.0130567i | ||||
\(737\) | −6.57015 | + | 37.2611i | −0.242014 | + | 1.37253i | ||||
\(738\) | 3.05428 | − | 0.538551i | 0.112429 | − | 0.0198244i | ||||
\(739\) | −53.7875 | −1.97861 | −0.989303 | − | 0.145878i | \(-0.953399\pi\) | ||||
−0.989303 | + | 0.145878i | \(0.953399\pi\) | |||||||
\(740\) | −12.5227 | + | 13.9295i | −0.460343 | + | 0.512058i | ||||
\(741\) | 29.6416 | 1.08891 | ||||||||
\(742\) | 2.22518 | − | 0.392359i | 0.0816889 | − | 0.0144040i | ||||
\(743\) | −3.90547 | + | 22.1490i | −0.143278 | + | 0.812569i | 0.825456 | + | 0.564467i | \(0.190918\pi\) |
−0.968734 | + | 0.248103i | \(0.920193\pi\) | |||||||
\(744\) | 7.35470 | − | 2.67689i | 0.269637 | − | 0.0981397i | ||||
\(745\) | −25.4356 | + | 30.3130i | −0.931889 | + | 1.11058i | ||||
\(746\) | − | 1.11639i | − | 0.0408738i | ||||||
\(747\) | −7.70789 | − | 6.46769i | −0.282017 | − | 0.236640i | ||||
\(748\) | 25.5645 | − | 14.7597i | 0.934730 | − | 0.539667i | ||||
\(749\) | 3.49800 | + | 1.27317i | 0.127814 | + | 0.0465205i | ||||
\(750\) | −1.22102 | + | 2.11488i | −0.0445855 | + | 0.0772244i | ||||
\(751\) | −3.56277 | − | 6.17090i | −0.130007 | − | 0.225179i | 0.793672 | − | 0.608346i | \(-0.208167\pi\) |
−0.923679 | + | 0.383167i | \(0.874833\pi\) | |||||||
\(752\) | −1.42556 | − | 8.08477i | −0.0519849 | − | 0.294821i | ||||
\(753\) | 6.66131 | + | 18.3018i | 0.242752 | + | 0.666955i | ||||
\(754\) | 5.88169 | + | 3.39580i | 0.214199 | + | 0.123668i | ||||
\(755\) | 10.2656 | + | 12.2341i | 0.373605 | + | 0.445245i | ||||
\(756\) | −0.857235 | + | 0.719305i | −0.0311773 | + | 0.0261609i | ||||
\(757\) | −1.85286 | + | 5.09070i | −0.0673434 | + | 0.185024i | −0.968799 | − | 0.247846i | \(-0.920277\pi\) |
0.901456 | + | 0.432871i | \(0.142499\pi\) | |||||||
\(758\) | 35.8874 | + | 6.32791i | 1.30349 | + | 0.229840i | ||||
\(759\) | 6.78726 | + | 1.19678i | 0.246362 | + | 0.0434403i | ||||
\(760\) | 4.36295 | − | 11.9871i | 0.158261 | − | 0.434818i | ||||
\(761\) | 19.7639 | − | 16.5839i | 0.716440 | − | 0.601165i | −0.209958 | − | 0.977710i | \(-0.567333\pi\) |
0.926398 | + | 0.376546i | \(0.122888\pi\) | |||||||
\(762\) | 5.71879 | + | 6.81539i | 0.207170 | + | 0.246896i | ||||
\(763\) | 0.00121625 | 0.000702202i | 4.40312e−5 | 2.54214e-5i | ||||||
\(764\) | −2.21691 | − | 6.09092i | −0.0802051 | − | 0.220362i | ||||
\(765\) | 2.37199 | + | 13.4522i | 0.0857595 | + | 0.486366i | ||||
\(766\) | −3.01543 | − | 5.22288i | −0.108952 | − | 0.188710i | ||||
\(767\) | −9.79838 | + | 16.9713i | −0.353799 | + | 0.612798i | ||||
\(768\) | 1.43969 | + | 0.524005i | 0.0519504 | + | 0.0189084i | ||||
\(769\) | −1.66740 | + | 0.962671i | −0.0601278 | + | 0.0347148i | −0.529763 | − | 0.848146i | \(-0.677719\pi\) |
0.469635 | + | 0.882861i | \(0.344386\pi\) | |||||||
\(770\) | 2.04879 | + | 1.71914i | 0.0738334 | + | 0.0619536i | ||||
\(771\) | 6.66015i | 0.239859i | ||||||||
\(772\) | −13.4875 | + | 16.0737i | −0.485424 | + | 0.578506i | ||||
\(773\) | −25.7461 | + | 9.37083i | −0.926025 | + | 0.337045i | −0.760633 | − | 0.649183i | \(-0.775111\pi\) |
−0.165392 | + | 0.986228i | \(0.552889\pi\) | |||||||
\(774\) | −0.0453329 | + | 0.257095i | −0.00162946 | + | 0.00924111i | ||||
\(775\) | 22.5505 | − | 3.97625i | 0.810036 | − | 0.142831i | ||||
\(776\) | −2.39427 | −0.0859492 | ||||||||
\(777\) | −1.77186 | + | 0.577225i | −0.0635651 | + | 0.0207078i | ||||
\(778\) | −18.8329 | −0.675193 | ||||||||
\(779\) | −19.3849 | + | 3.41807i | −0.694534 | + | 0.122465i | ||||
\(780\) | −3.82614 | + | 21.6991i | −0.136998 | + | 0.776952i | ||||
\(781\) | 57.8105 | − | 21.0413i | 2.06862 | − | 0.752918i | ||||
\(782\) | 4.52435 | − | 5.39191i | 0.161790 | − | 0.192814i | ||||
\(783\) | 8.13809i | 0.290832i | ||||||||
\(784\) | −5.33168 | − | 4.47381i | −0.190417 | − | 0.159779i | ||||
\(785\) | 31.9043 | − | 18.4200i | 1.13871 | − | 0.657437i | ||||
\(786\) | 12.0496 | + | 4.38571i | 0.429796 | + | 0.156433i | ||||
\(787\) | 17.7666 | − | 30.7726i | 0.633309 | − | 1.09692i | −0.353562 | − | 0.935411i | \(-0.615030\pi\) |
0.986871 | − | 0.161512i | \(-0.0516372\pi\) | |||||||
\(788\) | −0.829047 | − | 1.43595i | −0.0295336 | − | 0.0511537i | ||||
\(789\) | 1.73232 | + | 9.82446i | 0.0616722 | + | 0.349760i | ||||
\(790\) | 6.63039 | + | 18.2168i | 0.235899 | + | 0.648126i | ||||
\(791\) | 0.443774 | + | 0.256213i | 0.0157788 | + | 0.00910989i | ||||
\(792\) | −1.82231 | − | 2.17174i | −0.0647529 | − | 0.0771695i | ||||
\(793\) | −37.6736 | + | 31.6119i | −1.33783 | + | 1.12257i | ||||
\(794\) | 9.40944 | − | 25.8522i | 0.333928 | − | 0.917461i | ||||
\(795\) | 52.5001 | + | 9.25719i | 1.86199 | + | 0.328319i | ||||
\(796\) | 7.11013 | + | 1.25371i | 0.252012 | + | 0.0444365i | ||||
\(797\) | 17.5674 | − | 48.2661i | 0.622271 | − | 1.70967i | −0.0790896 | − | 0.996868i | \(-0.525201\pi\) |
0.701360 | − | 0.712807i | \(-0.252576\pi\) | |||||||
\(798\) | 0.972199 | − | 0.815772i | 0.0344155 | − | 0.0288780i | ||||
\(799\) | −35.8634 | − | 42.7404i | −1.26876 | − | 1.51205i | ||||
\(800\) | 3.88185 | + | 2.24119i | 0.137244 | + | 0.0792380i | ||||
\(801\) | 0.717552 | + | 1.97146i | 0.0253534 | + | 0.0696580i | ||||
\(802\) | −3.83278 | − | 21.7368i | −0.135340 | − | 0.767551i | ||||
\(803\) | 15.8013 | + | 27.3687i | 0.557617 | + | 0.965821i | ||||
\(804\) | −6.67299 | + | 11.5580i | −0.235338 | + | 0.407618i | ||||
\(805\) | 0.599256 | + | 0.218111i | 0.0211210 | + | 0.00768742i | ||||
\(806\) | −20.6621 | + | 11.9292i | −0.727790 | + | 0.420190i | ||||
\(807\) | 11.6216 | + | 9.75169i | 0.409100 | + | 0.343276i | ||||
\(808\) | 10.9630i | 0.385677i | ||||||||
\(809\) | 10.7079 | − | 12.7612i | 0.376470 | − | 0.448660i | −0.544227 | − | 0.838938i | \(-0.683177\pi\) |
0.920697 | + | 0.390278i | \(0.127621\pi\) | |||||||
\(810\) | −19.1439 | + | 6.96782i | −0.672649 | + | 0.244824i | ||||
\(811\) | −5.92190 | + | 33.5848i | −0.207946 | + | 1.17932i | 0.684790 | + | 0.728741i | \(0.259894\pi\) |
−0.892736 | + | 0.450581i | \(0.851217\pi\) | |||||||
\(812\) | 0.286367 | − | 0.0504942i | 0.0100495 | − | 0.00177200i | ||||
\(813\) | −13.8272 | −0.484942 | ||||||||
\(814\) | −8.18375 | − | 25.1210i | −0.286840 | − | 0.880490i | ||||
\(815\) | 2.17681 | 0.0762503 | ||||||||
\(816\) | 10.2542 | − | 1.80810i | 0.358970 | − | 0.0632961i | ||||
\(817\) | 0.287718 | − | 1.63173i | 0.0100660 | − | 0.0570870i | ||||
\(818\) | 1.33521 | − | 0.485977i | 0.0466846 | − | 0.0169918i | ||||
\(819\) | 0.391813 | − | 0.466944i | 0.0136910 | − | 0.0163163i | ||||
\(820\) | − | 14.6319i | − | 0.510967i | ||||||
\(821\) | 16.5679 | + | 13.9021i | 0.578222 | + | 0.485186i | 0.884363 | − | 0.466800i | \(-0.154593\pi\) |
−0.306140 | + | 0.951986i | \(0.599038\pi\) | |||||||
\(822\) | 2.09372 | − | 1.20881i | 0.0730269 | − | 0.0421621i | ||||
\(823\) | −21.1059 | − | 7.68190i | −0.735704 | − | 0.267774i | −0.0531267 | − | 0.998588i | \(-0.516919\pi\) |
−0.682577 | + | 0.730813i | \(0.739141\pi\) | |||||||
\(824\) | 7.86780 | − | 13.6274i | 0.274088 | − | 0.474734i | ||||
\(825\) | 14.9142 | + | 25.8322i | 0.519247 | + | 0.899362i | ||||
\(826\) | 0.145698 | + | 0.826296i | 0.00506949 | + | 0.0287505i | ||||
\(827\) | −11.2613 | − | 30.9402i | −0.391594 | − | 1.07590i | −0.966274 | − | 0.257517i | \(-0.917096\pi\) |
0.574680 | − | 0.818378i | \(-0.305127\pi\) | |||||||
\(828\) | −0.585420 | − | 0.337992i | −0.0203447 | − | 0.0117460i | ||||
\(829\) | −11.8170 | − | 14.0829i | −0.410421 | − | 0.489121i | 0.520747 | − | 0.853711i | \(-0.325653\pi\) |
−0.931168 | + | 0.364590i | \(0.881209\pi\) | |||||||
\(830\) | −36.3646 | + | 30.5135i | −1.26223 | + | 1.05914i | ||||
\(831\) | 0.109039 | − | 0.299582i | 0.00378252 | − | 0.0103924i | ||||
\(832\) | −4.59938 | − | 0.810994i | −0.159455 | − | 0.0281162i | ||||
\(833\) | −46.5832 | − | 8.21388i | −1.61401 | − | 0.284594i | ||||
\(834\) | −5.20006 | + | 14.2870i | −0.180063 | + | 0.494720i | ||||
\(835\) | 15.5921 | − | 13.0833i | 0.539586 | − | 0.452767i | ||||
\(836\) | 11.5658 | + | 13.7836i | 0.400012 | + | 0.476716i | ||||
\(837\) | −24.7585 | − | 14.2943i | −0.855779 | − | 0.494084i | ||||
\(838\) | 4.66516 | + | 12.8174i | 0.161155 | + | 0.442770i | ||||
\(839\) | 1.94855 | + | 11.0508i | 0.0672715 | + | 0.381516i | 0.999792 | + | 0.0203984i | \(0.00649345\pi\) |
−0.932520 | + | 0.361117i | \(0.882395\pi\) | |||||||
\(840\) | 0.471694 | + | 0.816997i | 0.0162750 | + | 0.0281891i | ||||
\(841\) | −13.4427 | + | 23.2834i | −0.463540 | + | 0.802874i | ||||
\(842\) | 26.3093 | + | 9.57581i | 0.906679 | + | 0.330004i | ||||
\(843\) | 35.9030 | − | 20.7286i | 1.23657 | − | 0.713931i | ||||
\(844\) | −3.45385 | − | 2.89812i | −0.118886 | − | 0.0997575i | ||||
\(845\) | − | 27.1351i | − | 0.933477i | ||||||
\(846\) | −3.44429 | + | 4.10475i | −0.118417 | + | 0.141124i | ||||
\(847\) | −1.47802 | + | 0.537955i | −0.0507854 | + | 0.0184844i | ||||
\(848\) | −1.96217 | + | 11.1280i | −0.0673812 | + | 0.382138i | ||||
\(849\) | −1.22650 | + | 0.216266i | −0.0420935 | + | 0.00742223i | ||||
\(850\) | 30.4633 | 1.04488 | ||||||||
\(851\) | −3.88233 | − | 4.96126i | −0.133085 | − | 0.170070i | ||||
\(852\) | 21.7003 | 0.743442 | ||||||||
\(853\) | −0.0959745 | + | 0.0169229i | −0.00328610 | + | 0.000579429i | −0.175291 | − | 0.984517i | \(-0.556087\pi\) |
0.172005 | + | 0.985096i | \(0.444976\pi\) | |||||||
\(854\) | −0.365640 | + | 2.07365i | −0.0125119 | + | 0.0709587i | ||||
\(855\) | −7.82403 | + | 2.84772i | −0.267576 | + | 0.0973898i | ||||
\(856\) | −11.9661 | + | 14.2607i | −0.408994 | + | 0.487420i | ||||
\(857\) | − | 27.1799i | − | 0.928447i | −0.885718 | − | 0.464223i | \(-0.846333\pi\) | ||
0.885718 | − | 0.464223i | \(-0.153667\pi\) | |||||||
\(858\) | −23.8081 | − | 19.9773i | −0.812794 | − | 0.682015i | ||||
\(859\) | 13.9714 | − | 8.06637i | 0.476697 | − | 0.275221i | −0.242342 | − | 0.970191i | \(-0.577916\pi\) |
0.719039 | + | 0.694970i | \(0.244582\pi\) | |||||||
\(860\) | 1.15737 | + | 0.421247i | 0.0394659 | + | 0.0143644i | ||||
\(861\) | 0.727850 | − | 1.26067i | 0.0248051 | − | 0.0429637i | ||||
\(862\) | 1.42474 | + | 2.46773i | 0.0485270 | + | 0.0840512i | ||||
\(863\) | 7.25123 | + | 41.1238i | 0.246835 | + | 1.39987i | 0.816193 | + | 0.577780i | \(0.196081\pi\) |
−0.569358 | + | 0.822090i | \(0.692808\pi\) | |||||||
\(864\) | −1.91404 | − | 5.25877i | −0.0651168 | − | 0.178907i | ||||
\(865\) | −41.0730 | − | 23.7135i | −1.39652 | − | 0.806283i | ||||
\(866\) | −20.0133 | − | 23.8509i | −0.680079 | − | 0.810487i | ||||
\(867\) | 34.2573 | − | 28.7453i | 1.16344 | − | 0.976241i | ||||
\(868\) | −0.349377 | + | 0.959906i | −0.0118586 | + | 0.0325813i | ||||
\(869\) | −26.9289 | − | 4.74829i | −0.913500 | − | 0.161075i | ||||
\(870\) | 6.75645 | + | 1.19134i | 0.229065 | + | 0.0403903i | ||||
\(871\) | 13.9144 | − | 38.2296i | 0.471473 | − | 1.29536i | ||||
\(872\) | −0.00538020 | + | 0.00451453i | −0.000182197 | + | 0.000152881i | ||||
\(873\) | 1.00452 | + | 1.19713i | 0.0339977 | + | 0.0405169i | ||||
\(874\) | 3.71554 | + | 2.14517i | 0.125680 | + | 0.0725613i | ||||
\(875\) | −0.109011 | − | 0.299505i | −0.00368524 | − | 0.0101251i | ||||
\(876\) | 1.93571 | + | 10.9779i | 0.0654015 | + | 0.370910i | ||||
\(877\) | −6.52496 | − | 11.3016i | −0.220332 | − | 0.381627i | 0.734577 | − | 0.678526i | \(-0.237381\pi\) |
−0.954909 | + | 0.296899i | \(0.904048\pi\) | |||||||
\(878\) | 14.3900 | − | 24.9242i | 0.485638 | − | 0.841150i | ||||
\(879\) | −12.6687 | − | 4.61102i | −0.427304 | − | 0.155526i | ||||
\(880\) | −11.5832 | + | 6.68755i | −0.390469 | + | 0.225437i | ||||
\(881\) | −8.00075 | − | 6.71343i | −0.269552 | − | 0.226181i | 0.497985 | − | 0.867186i | \(-0.334073\pi\) |
−0.767537 | + | 0.641005i | \(0.778518\pi\) | |||||||
\(882\) | 4.54283i | 0.152965i | ||||||||
\(883\) | 20.7632 | − | 24.7446i | 0.698736 | − | 0.832721i | −0.293647 | − | 0.955914i | \(-0.594869\pi\) |
0.992383 | + | 0.123193i | \(0.0393133\pi\) | |||||||
\(884\) | −29.8264 | + | 10.8559i | −1.00317 | + | 0.365125i | ||||
\(885\) | −3.43755 | + | 19.4953i | −0.115552 | + | 0.655329i | ||||
\(886\) | 19.0957 | − | 3.36708i | 0.641532 | − | 0.113119i | ||||
\(887\) | −9.33190 | −0.313334 | −0.156667 | − | 0.987651i | \(-0.550075\pi\) | ||||
−0.156667 | + | 0.987651i | \(0.550075\pi\) | |||||||
\(888\) | 0.318050 | − | 9.31390i | 0.0106731 | − | 0.312554i | ||||
\(889\) | −1.16118 | −0.0389448 | ||||||||
\(890\) | 9.74756 | − | 1.71876i | 0.326739 | − | 0.0576129i | ||||
\(891\) | 4.98994 | − | 28.2994i | 0.167169 | − | 0.948065i | ||||
\(892\) | 12.8191 | − | 4.66579i | 0.429217 | − | 0.156222i | ||||
\(893\) | 21.8602 | − | 26.0520i | 0.731523 | − | 0.871796i | ||||
\(894\) | − | 19.6879i | − | 0.658463i | ||||||
\(895\) | −6.02557 | − | 5.05606i | −0.201413 | − | 0.169005i | ||||
\(896\) | −0.173172 | + | 0.0999810i | −0.00578527 | + | 0.00334013i | ||||
\(897\) | −6.96367 | − | 2.53457i | −0.232510 | − | 0.0846268i | ||||
\(898\) | −8.53997 | + | 14.7917i | −0.284983 | + | 0.493604i | ||||
\(899\) | 3.71441 | + | 6.43354i | 0.123882 | + | 0.214571i | ||||
\(900\) | −0.508036 | − | 2.88122i | −0.0169345 | − | 0.0960406i | ||||
\(901\) | 26.2655 | + | 72.1639i | 0.875031 | + | 2.40413i | ||||
\(902\) | 17.8735 | + | 10.3193i | 0.595123 | + | 0.343594i | ||||
\(903\) | 0.0787636 | + | 0.0938668i | 0.00262109 | + | 0.00312369i | ||||
\(904\) | −1.96308 | + | 1.64722i | −0.0652910 | + | 0.0547857i | ||||
\(905\) | 8.83420 | − | 24.2718i | 0.293659 | − | 0.806821i | ||||
\(906\) | −7.82520 | − | 1.37979i | −0.259975 | − | 0.0458406i | ||||
\(907\) | 31.2512 | + | 5.51042i | 1.03768 | + | 0.182971i | 0.666433 | − | 0.745565i | \(-0.267820\pi\) |
0.371244 | + | 0.928535i | \(0.378931\pi\) | |||||||
\(908\) | −9.31600 | + | 25.5955i | −0.309162 | + | 0.849417i | ||||
\(909\) | 5.48150 | − | 4.59952i | 0.181810 | − | 0.152557i | ||||
\(910\) | −1.84851 | − | 2.20296i | −0.0612774 | − | 0.0730276i | ||||
\(911\) | 40.7663 | + | 23.5364i | 1.35065 | + | 0.779797i | 0.988340 | − | 0.152262i | \(-0.0486558\pi\) |
0.362307 | + | 0.932059i | \(0.381989\pi\) | |||||||
\(912\) | 2.17073 | + | 5.96403i | 0.0718801 | + | 0.197489i | ||||
\(913\) | −11.6272 | − | 65.9410i | −0.384803 | − | 2.18233i | ||||
\(914\) | 1.20827 | + | 2.09279i | 0.0399661 | + | 0.0692233i | ||||
\(915\) | −24.8398 | + | 43.0238i | −0.821179 | + | 1.42232i | ||||
\(916\) | 1.91506 | + | 0.697025i | 0.0632754 | + | 0.0230304i | ||||
\(917\) | −1.44938 | + | 0.836799i | −0.0478627 | + | 0.0276335i | ||||
\(918\) | −29.1354 | − | 24.4475i | −0.961610 | − | 0.806887i | ||||
\(919\) | − | 36.4389i | − | 1.20201i | −0.799246 | − | 0.601004i | \(-0.794767\pi\) | ||
0.799246 | − | 0.601004i | \(-0.205233\pi\) | |||||||
\(920\) | −2.04997 | + | 2.44306i | −0.0675854 | + | 0.0805452i | ||||
\(921\) | 35.2065 | − | 12.8141i | 1.16009 | − | 0.422239i | ||||
\(922\) | 3.25416 | − | 18.4553i | 0.107170 | − | 0.607792i | ||||
\(923\) | −65.1451 | + | 11.4868i | −2.14428 | + | 0.378094i | ||||
\(924\) | −1.33067 | −0.0437758 | ||||||||
\(925\) | 5.64817 | − | 26.6738i | 0.185711 | − | 0.877029i | ||||
\(926\) | −5.15947 | −0.169551 | ||||||||
\(927\) | −10.1147 | + | 1.78349i | −0.332209 | + | 0.0585774i | ||||
\(928\) | −0.252519 | + | 1.43211i | −0.00828935 | + | 0.0470112i | ||||
\(929\) | −32.2285 | + | 11.7302i | −1.05738 | + | 0.384856i | −0.811444 | − | 0.584430i | \(-0.801318\pi\) |
−0.245938 | + | 0.969285i | \(0.579096\pi\) | |||||||
\(930\) | −15.4919 | + | 18.4626i | −0.508000 | + | 0.605411i | ||||
\(931\) | − | 28.8324i | − | 0.944943i | ||||||
\(932\) | 2.97604 | + | 2.49720i | 0.0974835 | + | 0.0817984i | ||||
\(933\) | −0.0168445 | + | 0.00972517i | −0.000551464 | + | 0.000318388i | ||||
\(934\) | 29.0660 | + | 10.5792i | 0.951070 | + | 0.346161i | ||||
\(935\) | −45.4501 | + | 78.7219i | −1.48638 | + | 2.57448i | ||||
\(936\) | 1.52417 | + | 2.63994i | 0.0498191 | + | 0.0862892i | ||||
\(937\) | −0.945344 | − | 5.36131i | −0.0308830 | − | 0.175146i | 0.965465 | − | 0.260533i | \(-0.0838984\pi\) |
−0.996348 | + | 0.0853870i | \(0.972787\pi\) | |||||||
\(938\) | −0.595752 | − | 1.63681i | −0.0194520 | − | 0.0534439i | ||||
\(939\) | 23.1776 | + | 13.3816i | 0.756373 | + | 0.436692i | ||||
\(940\) | 16.2496 | + | 19.3655i | 0.530003 | + | 0.631633i | ||||
\(941\) | −30.6634 | + | 25.7296i | −0.999598 | + | 0.838762i | −0.986929 | − | 0.161157i | \(-0.948477\pi\) |
−0.0126693 | + | 0.999920i | \(0.504033\pi\) | |||||||
\(942\) | −6.26896 | + | 17.2238i | −0.204254 | + | 0.561183i | ||||
\(943\) | 4.84633 | + | 0.854539i | 0.157818 | + | 0.0278276i | ||||
\(944\) | −4.13227 | − | 0.728630i | −0.134494 | − | 0.0237149i | ||||
\(945\) | 1.17857 | − | 3.23810i | 0.0383389 | − | 0.105335i | ||||
\(946\) | −1.33082 | + | 1.11669i | −0.0432687 | + | 0.0363068i | ||||
\(947\) | −22.5711 | − | 26.8992i | −0.733462 | − | 0.874106i | 0.262402 | − | 0.964959i | \(-0.415485\pi\) |
−0.995864 | + | 0.0908522i | \(0.971041\pi\) | |||||||
\(948\) | −8.35301 | − | 4.82261i | −0.271293 | − | 0.156631i | ||||
\(949\) | −11.6221 | − | 31.9315i | −0.377269 | − | 1.03654i | ||||
\(950\) | 3.22440 | + | 18.2865i | 0.104613 | + | 0.593292i | ||||
\(951\) | 2.09046 | + | 3.62078i | 0.0677878 | + | 0.117412i | ||||
\(952\) | −0.679493 | + | 1.17692i | −0.0220225 | + | 0.0381441i | ||||
\(953\) | 8.48235 | + | 3.08732i | 0.274770 | + | 0.100008i | 0.475730 | − | 0.879591i | \(-0.342184\pi\) |
−0.200960 | + | 0.979599i | \(0.564406\pi\) | |||||||
\(954\) | 6.38723 | − | 3.68767i | 0.206794 | − | 0.119393i | ||||
\(955\) | 15.2901 | + | 12.8299i | 0.494775 | + | 0.415166i | ||||
\(956\) | 18.5705i | 0.600613i | ||||||||
\(957\) | −6.22034 | + | 7.41311i | −0.201075 | + | 0.239632i | ||||
\(958\) | −12.1017 | + | 4.40464i | −0.390987 | + | 0.142307i | ||||
\(959\) | −0.0547926 | + | 0.310744i | −0.00176934 | + | 0.0100344i | ||||
\(960\) | −4.64616 | + | 0.819243i | −0.149954 | + | 0.0264410i | ||||
\(961\) | 4.90299 | 0.158161 | ||||||||
\(962\) | 3.97542 | + | 28.1290i | 0.128173 | + | 0.906915i | ||||
\(963\) | 12.1507 | 0.391552 | ||||||||
\(964\) | 24.9528 | − | 4.39985i | 0.803676 | − | 0.141710i | ||||
\(965\) | 11.2200 | − | 63.6316i | 0.361183 | − | 2.04837i | ||||
\(966\) | −0.298152 | + | 0.108518i | −0.00959289 | + | 0.00349153i | ||||
\(967\) | 24.9706 | − | 29.7588i | 0.802999 | − | 0.956977i | −0.196725 | − | 0.980459i | \(-0.563031\pi\) |
0.999724 | + | 0.0234813i | \(0.00747501\pi\) | |||||||
\(968\) | − | 7.86588i | − | 0.252819i | ||||||
\(969\) | 33.0427 | + | 27.7262i | 1.06149 | + | 0.890692i | ||||
\(970\) | 6.38502 | − | 3.68639i | 0.205011 | − | 0.118363i | ||||
\(971\) | 24.8643 | + | 9.04986i | 0.797933 | + | 0.290424i | 0.708630 | − | 0.705581i | \(-0.249314\pi\) |
0.0893032 | + | 0.996004i | \(0.471536\pi\) | |||||||
\(972\) | −3.32635 | + | 5.76141i | −0.106693 | + | 0.184797i | ||||
\(973\) | −0.992179 | − | 1.71850i | −0.0318078 | − | 0.0550927i | ||||
\(974\) | −2.99719 | − | 16.9979i | −0.0960361 | − | 0.544648i | ||||
\(975\) | −10.9696 | − | 30.1388i | −0.351309 | − | 0.965214i | ||||
\(976\) | −9.11941 | − | 5.26509i | −0.291905 | − | 0.168531i | ||||
\(977\) | 35.4829 | + | 42.2869i | 1.13520 | + | 1.35288i | 0.927120 | + | 0.374765i | \(0.122277\pi\) |
0.208079 | + | 0.978112i | \(0.433279\pi\) | |||||||
\(978\) | −0.829659 | + | 0.696166i | −0.0265296 | + | 0.0222609i | ||||
\(979\) | −4.77503 | + | 13.1193i | −0.152611 | + | 0.419294i | ||||
\(980\) | 21.1067 | + | 3.72168i | 0.674229 | + | 0.118885i | ||||
\(981\) | 0.00451453 | 0.000796033i | 0.000144138 | 2.54154e-5i | ||||||
\(982\) | 5.85081 | − | 16.0750i | 0.186707 | − | 0.512973i | ||||
\(983\) | −22.7515 | + | 19.0908i | −0.725661 | + | 0.608902i | −0.928945 | − | 0.370218i | \(-0.879283\pi\) |
0.203284 | + | 0.979120i | \(0.434838\pi\) | |||||||
\(984\) | 4.67942 | + | 5.57672i | 0.149175 | + | 0.177779i | ||||
\(985\) | 4.42179 | + | 2.55292i | 0.140890 | + | 0.0813429i | ||||
\(986\) | 3.38021 | + | 9.28706i | 0.107648 | + | 0.295760i | ||||
\(987\) | 0.436735 | + | 2.47685i | 0.0139014 | + | 0.0788389i | ||||
\(988\) | −9.67359 | − | 16.7551i | −0.307758 | − | 0.533052i | ||||
\(989\) | −0.207118 | + | 0.358739i | −0.00658597 | + | 0.0114072i | ||||
\(990\) | 8.20350 | + | 2.98583i | 0.260724 | + | 0.0948959i | ||||
\(991\) | −17.4731 | + | 10.0881i | −0.555050 | + | 0.320458i | −0.751156 | − | 0.660124i | \(-0.770504\pi\) |
0.196106 | + | 0.980583i | \(0.437170\pi\) | |||||||
\(992\) | −3.91336 | − | 3.28370i | −0.124249 | − | 0.104257i | ||||
\(993\) | − | 36.1819i | − | 1.14820i | ||||||
\(994\) | −1.82053 | + | 2.16962i | −0.0577437 | + | 0.0688162i | ||||
\(995\) | −20.8915 | + | 7.60390i | −0.662306 | + | 0.241060i | ||||
\(996\) | 4.10128 | − | 23.2595i | 0.129954 | − | 0.737007i | ||||
\(997\) | 36.4291 | − | 6.42343i | 1.15372 | − | 0.203432i | 0.436121 | − | 0.899888i | \(-0.356352\pi\) |
0.717599 | + | 0.696456i | \(0.245241\pi\) | |||||||
\(998\) | 18.5412 | 0.586913 | ||||||||
\(999\) | −26.8083 | + | 20.9783i | −0.848177 | + | 0.663724i |
(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 | 74.2.h.a.65.1 | yes | 12 | |
3.2 | odd | 2 | 666.2.bj.c.361.2 | 12 | |||
4.3 | odd | 2 | 592.2.bq.b.65.1 | 12 | |||
37.2 | odd | 36 | 2738.2.a.r.1.6 | 6 | |||
37.4 | even | 18 | inner | 74.2.h.a.41.1 | ✓ | 12 | |
37.35 | odd | 36 | 2738.2.a.s.1.5 | 6 | |||
111.41 | odd | 18 | 666.2.bj.c.559.2 | 12 | |||
148.115 | odd | 18 | 592.2.bq.b.337.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.h.a.41.1 | ✓ | 12 | 37.4 | even | 18 | inner | |
74.2.h.a.65.1 | yes | 12 | 1.1 | even | 1 | trivial | |
592.2.bq.b.65.1 | 12 | 4.3 | odd | 2 | |||
592.2.bq.b.337.1 | 12 | 148.115 | odd | 18 | |||
666.2.bj.c.361.2 | 12 | 3.2 | odd | 2 | |||
666.2.bj.c.559.2 | 12 | 111.41 | odd | 18 | |||
2738.2.a.r.1.6 | 6 | 37.2 | odd | 36 | |||
2738.2.a.s.1.5 | 6 | 37.35 | odd | 36 |