Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.2 | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.f.97.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.676906 | − | 2.52625i | −0.390812 | − | 1.45853i | −0.828798 | − | 0.559549i | \(-0.810975\pi\) |
0.437986 | − | 0.898982i | \(-0.355692\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.00515 | + | 1.99742i | 0.449515 | + | 0.893273i | ||||
\(6\) | 1.84934 | − | 1.84934i | 0.754991 | − | 0.754991i | ||||
\(7\) | 1.06481 | + | 3.97392i | 0.402460 | + | 1.50200i | 0.808693 | + | 0.588231i | \(0.200176\pi\) |
−0.406233 | + | 0.913770i | \(0.633158\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −3.32566 | + | 1.92007i | −1.10855 | + | 0.640023i | ||||
\(10\) | −1.22724 | + | 1.86919i | −0.388088 | + | 0.591090i | ||||
\(11\) | 1.28194i | 0.386518i | 0.981148 | + | 0.193259i | \(0.0619058\pi\) | ||||
−0.981148 | + | 0.193259i | \(0.938094\pi\) | |||||||
\(12\) | 2.52625 | + | 0.676906i | 0.729265 | + | 0.195406i | ||||
\(13\) | −0.158198 | + | 0.274007i | −0.0438763 | + | 0.0759960i | −0.887130 | − | 0.461521i | \(-0.847304\pi\) |
0.843253 | + | 0.537516i | \(0.180637\pi\) | |||||||
\(14\) | −2.90911 | + | 2.90911i | −0.777493 | + | 0.777493i | ||||
\(15\) | 4.36559 | − | 3.89132i | 1.12719 | − | 1.00473i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0.887335 | − | 0.512303i | 0.215210 | − | 0.124252i | −0.388520 | − | 0.921440i | \(-0.627014\pi\) |
0.603730 | + | 0.797188i | \(0.293680\pi\) | |||||||
\(18\) | −3.32566 | − | 1.92007i | −0.783865 | − | 0.452564i | ||||
\(19\) | 2.85215 | − | 0.764232i | 0.654329 | − | 0.175327i | 0.0836437 | − | 0.996496i | \(-0.473344\pi\) |
0.570685 | + | 0.821169i | \(0.306678\pi\) | |||||||
\(20\) | −2.23239 | − | 0.128227i | −0.499177 | − | 0.0286724i | ||||
\(21\) | 9.31834 | − | 5.37994i | 2.03343 | − | 1.17400i | ||||
\(22\) | −1.11019 | + | 0.640968i | −0.236693 | + | 0.136655i | ||||
\(23\) | 9.01738 | 1.88025 | 0.940127 | − | 0.340824i | \(-0.110706\pi\) | ||||
0.940127 | + | 0.340824i | \(0.110706\pi\) | |||||||
\(24\) | 0.676906 | + | 2.52625i | 0.138173 | + | 0.515668i | ||||
\(25\) | −2.97936 | + | 4.01540i | −0.595872 | + | 0.803079i | ||||
\(26\) | −0.316396 | −0.0620504 | ||||||||
\(27\) | 1.55370 | + | 1.55370i | 0.299010 | + | 0.299010i | ||||
\(28\) | −3.97392 | − | 1.06481i | −0.751000 | − | 0.201230i | ||||
\(29\) | −5.62213 | + | 5.62213i | −1.04400 | + | 1.04400i | −0.0450170 | + | 0.998986i | \(0.514334\pi\) |
−0.998986 | + | 0.0450170i | \(0.985666\pi\) | |||||||
\(30\) | 5.55277 | + | 1.83505i | 1.01379 | + | 0.335033i | ||||
\(31\) | 0.661953 | + | 0.661953i | 0.118890 | + | 0.118890i | 0.764049 | − | 0.645159i | \(-0.223209\pi\) |
−0.645159 | + | 0.764049i | \(0.723209\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 3.23849 | − | 0.867750i | 0.563748 | − | 0.151056i | ||||
\(34\) | 0.887335 | + | 0.512303i | 0.152177 | + | 0.0878592i | ||||
\(35\) | −6.86729 | + | 6.12124i | −1.16078 | + | 1.03468i | ||||
\(36\) | − | 3.84014i | − | 0.640023i | ||||||
\(37\) | 3.18573 | − | 5.18181i | 0.523731 | − | 0.851884i | ||||
\(38\) | 2.08792 | + | 2.08792i | 0.338706 | + | 0.338706i | ||||
\(39\) | 0.799296 | + | 0.214171i | 0.127990 | + | 0.0342948i | ||||
\(40\) | −1.00515 | − | 1.99742i | −0.158928 | − | 0.315820i | ||||
\(41\) | −9.70680 | − | 5.60422i | −1.51595 | − | 0.875232i | −0.999825 | − | 0.0187171i | \(-0.994042\pi\) |
−0.516122 | − | 0.856515i | \(-0.672625\pi\) | |||||||
\(42\) | 9.31834 | + | 5.37994i | 1.43785 | + | 0.830143i | ||||
\(43\) | 5.24672 | 0.800117 | 0.400059 | − | 0.916490i | \(-0.368990\pi\) | ||||
0.400059 | + | 0.916490i | \(0.368990\pi\) | |||||||
\(44\) | −1.11019 | − | 0.640968i | −0.167367 | − | 0.0966295i | ||||
\(45\) | −7.17795 | − | 4.71278i | −1.07003 | − | 0.702539i | ||||
\(46\) | 4.50869 | + | 7.80928i | 0.664770 | + | 1.15142i | ||||
\(47\) | 2.65016 | − | 2.65016i | 0.386565 | − | 0.386565i | −0.486895 | − | 0.873460i | \(-0.661871\pi\) |
0.873460 | + | 0.486895i | \(0.161871\pi\) | |||||||
\(48\) | −1.84934 | + | 1.84934i | −0.266930 | + | 0.266930i | ||||
\(49\) | −8.59605 | + | 4.96293i | −1.22801 | + | 0.708990i | ||||
\(50\) | −4.96712 | − | 0.572505i | −0.702456 | − | 0.0809645i | ||||
\(51\) | −1.89485 | − | 1.89485i | −0.265332 | − | 0.265332i | ||||
\(52\) | −0.158198 | − | 0.274007i | −0.0219381 | − | 0.0379980i | ||||
\(53\) | 1.83172 | − | 6.83608i | 0.251606 | − | 0.939008i | −0.718341 | − | 0.695692i | \(-0.755098\pi\) |
0.969947 | − | 0.243316i | \(-0.0782353\pi\) | |||||||
\(54\) | −0.568694 | + | 2.12239i | −0.0773894 | + | 0.288821i | ||||
\(55\) | −2.56056 | + | 1.28853i | −0.345266 | + | 0.173746i | ||||
\(56\) | −1.06481 | − | 3.97392i | −0.142291 | − | 0.531037i | ||||
\(57\) | −3.86128 | − | 6.68794i | −0.511439 | − | 0.885839i | ||||
\(58\) | −7.67997 | − | 2.05784i | −1.00843 | − | 0.270208i | ||||
\(59\) | 2.26214 | − | 8.44244i | 0.294506 | − | 1.09911i | −0.647103 | − | 0.762403i | \(-0.724020\pi\) |
0.941609 | − | 0.336709i | \(-0.109314\pi\) | |||||||
\(60\) | 1.18718 | + | 5.72637i | 0.153265 | + | 0.739271i | ||||
\(61\) | −7.25981 | + | 1.94526i | −0.929524 | + | 0.249065i | −0.691652 | − | 0.722231i | \(-0.743117\pi\) |
−0.237872 | + | 0.971296i | \(0.576450\pi\) | |||||||
\(62\) | −0.242292 | + | 0.904244i | −0.0307711 | + | 0.114839i | ||||
\(63\) | −11.1714 | − | 11.1714i | −1.40746 | − | 1.40746i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.706320 | − | 0.0405706i | −0.0876082 | − | 0.00503216i | ||||
\(66\) | 2.37074 | + | 2.37074i | 0.291818 | + | 0.291818i | ||||
\(67\) | −1.39786 | + | 0.374556i | −0.170776 | + | 0.0457593i | −0.343194 | − | 0.939265i | \(-0.611509\pi\) |
0.172418 | + | 0.985024i | \(0.444842\pi\) | |||||||
\(68\) | 1.02461i | 0.124252i | ||||||||
\(69\) | −6.10392 | − | 22.7802i | −0.734826 | − | 2.74241i | ||||
\(70\) | −8.73480 | − | 2.88663i | −1.04401 | − | 0.345018i | ||||
\(71\) | −3.61602 | + | 6.26312i | −0.429142 | + | 0.743296i | −0.996797 | − | 0.0799705i | \(-0.974517\pi\) |
0.567655 | + | 0.823266i | \(0.307851\pi\) | |||||||
\(72\) | 3.32566 | − | 1.92007i | 0.391932 | − | 0.226282i | ||||
\(73\) | −7.58180 | + | 7.58180i | −0.887382 | + | 0.887382i | −0.994271 | − | 0.106889i | \(-0.965911\pi\) |
0.106889 | + | 0.994271i | \(0.465911\pi\) | |||||||
\(74\) | 6.08044 | + | 0.168023i | 0.706837 | + | 0.0195323i | ||||
\(75\) | 12.1606 | + | 4.80856i | 1.40419 | + | 0.555245i | ||||
\(76\) | −0.764232 | + | 2.85215i | −0.0876635 | + | 0.327165i | ||||
\(77\) | −5.09431 | + | 1.36502i | −0.580550 | + | 0.155558i | ||||
\(78\) | 0.214171 | + | 0.799296i | 0.0242501 | + | 0.0905025i | ||||
\(79\) | 4.64055 | − | 1.24343i | 0.522103 | − | 0.139897i | 0.0118639 | − | 0.999930i | \(-0.496224\pi\) |
0.510239 | + | 0.860033i | \(0.329557\pi\) | |||||||
\(80\) | 1.22724 | − | 1.86919i | 0.137210 | − | 0.208982i | ||||
\(81\) | −2.88688 | + | 5.00023i | −0.320765 | + | 0.555581i | ||||
\(82\) | − | 11.2084i | − | 1.23777i | ||||||
\(83\) | −0.409176 | + | 1.52707i | −0.0449129 | + | 0.167617i | −0.984740 | − | 0.174034i | \(-0.944320\pi\) |
0.939827 | + | 0.341652i | \(0.110986\pi\) | |||||||
\(84\) | 10.7599i | 1.17400i | ||||||||
\(85\) | 1.91518 | + | 1.25744i | 0.207731 | + | 0.136388i | ||||
\(86\) | 2.62336 | + | 4.54379i | 0.282884 | + | 0.489970i | ||||
\(87\) | 18.0086 | + | 10.3972i | 1.93072 | + | 1.11470i | ||||
\(88\) | − | 1.28194i | − | 0.136655i | ||||||
\(89\) | 1.06048 | + | 0.284155i | 0.112411 | + | 0.0301203i | 0.314586 | − | 0.949229i | \(-0.398134\pi\) |
−0.202175 | + | 0.979349i | \(0.564801\pi\) | |||||||
\(90\) | 0.492409 | − | 8.57268i | 0.0519045 | − | 0.903639i | ||||
\(91\) | −1.25733 | − | 0.336902i | −0.131804 | − | 0.0353169i | ||||
\(92\) | −4.50869 | + | 7.80928i | −0.470064 | + | 0.814174i | ||||
\(93\) | 1.22418 | − | 2.12034i | 0.126941 | − | 0.219869i | ||||
\(94\) | 3.62018 | + | 0.970024i | 0.373393 | + | 0.100050i | ||||
\(95\) | 4.39332 | + | 4.92878i | 0.450746 | + | 0.505682i | ||||
\(96\) | −2.52625 | − | 0.676906i | −0.257834 | − | 0.0690865i | ||||
\(97\) | 11.2088i | 1.13808i | 0.822311 | + | 0.569039i | \(0.192684\pi\) | ||||
−0.822311 | + | 0.569039i | \(0.807316\pi\) | |||||||
\(98\) | −8.59605 | − | 4.96293i | −0.868332 | − | 0.501332i | ||||
\(99\) | −2.46140 | − | 4.26328i | −0.247380 | − | 0.428475i | ||||
\(100\) | −1.98775 | − | 4.58790i | −0.198775 | − | 0.458790i | ||||
\(101\) | − | 17.5901i | − | 1.75028i | −0.483868 | − | 0.875141i | \(-0.660769\pi\) | ||
0.483868 | − | 0.875141i | \(-0.339231\pi\) | |||||||
\(102\) | 0.693562 | − | 2.58841i | 0.0686729 | − | 0.256291i | ||||
\(103\) | − | 11.7069i | − | 1.15352i | −0.816914 | − | 0.576759i | \(-0.804317\pi\) | ||
0.816914 | − | 0.576759i | \(-0.195683\pi\) | |||||||
\(104\) | 0.158198 | − | 0.274007i | 0.0155126 | − | 0.0268686i | ||||
\(105\) | 20.1123 | + | 13.2050i | 1.96276 | + | 1.28867i | ||||
\(106\) | 6.83608 | − | 1.83172i | 0.663979 | − | 0.177913i | ||||
\(107\) | −2.18387 | − | 8.15032i | −0.211123 | − | 0.787921i | −0.987496 | − | 0.157647i | \(-0.949609\pi\) |
0.776373 | − | 0.630274i | \(-0.217057\pi\) | |||||||
\(108\) | −2.12239 | + | 0.568694i | −0.204227 | + | 0.0547226i | ||||
\(109\) | −0.477608 | + | 1.78246i | −0.0457466 | + | 0.170729i | −0.985020 | − | 0.172442i | \(-0.944834\pi\) |
0.939273 | + | 0.343171i | \(0.111501\pi\) | |||||||
\(110\) | −2.39618 | − | 1.57325i | −0.228467 | − | 0.150003i | ||||
\(111\) | −15.2470 | − | 4.54036i | −1.44718 | − | 0.430952i | ||||
\(112\) | 2.90911 | − | 2.90911i | 0.274885 | − | 0.274885i | ||||
\(113\) | 13.0794 | − | 7.55141i | 1.23041 | − | 0.710377i | 0.263294 | − | 0.964716i | \(-0.415191\pi\) |
0.967115 | + | 0.254339i | \(0.0818579\pi\) | |||||||
\(114\) | 3.86128 | − | 6.68794i | 0.361642 | − | 0.626383i | ||||
\(115\) | 9.06379 | + | 18.0115i | 0.845203 | + | 1.67958i | ||||
\(116\) | −2.05784 | − | 7.67997i | −0.191066 | − | 0.713067i | ||||
\(117\) | − | 1.21501i | − | 0.112327i | ||||||
\(118\) | 8.44244 | − | 2.26214i | 0.777189 | − | 0.208247i | ||||
\(119\) | 2.98069 | + | 2.98069i | 0.273240 | + | 0.273240i | ||||
\(120\) | −4.36559 | + | 3.89132i | −0.398522 | + | 0.355227i | ||||
\(121\) | 9.35664 | 0.850604 | ||||||||
\(122\) | −5.31455 | − | 5.31455i | −0.481157 | − | 0.481157i | ||||
\(123\) | −7.58707 | + | 28.3153i | −0.684103 | + | 2.55311i | ||||
\(124\) | −0.904244 | + | 0.242292i | −0.0812035 | + | 0.0217584i | ||||
\(125\) | −11.0151 | − | 1.91497i | −0.985222 | − | 0.171280i | ||||
\(126\) | 4.08901 | − | 15.2604i | 0.364278 | − | 1.35950i | ||||
\(127\) | 10.6556 | + | 2.85517i | 0.945536 | + | 0.253355i | 0.698467 | − | 0.715642i | \(-0.253866\pi\) |
0.247069 | + | 0.968998i | \(0.420533\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −3.55154 | − | 13.2545i | −0.312695 | − | 1.16700i | ||||
\(130\) | −0.318025 | − | 0.631976i | −0.0278926 | − | 0.0554280i | ||||
\(131\) | 5.08374 | − | 18.9728i | 0.444168 | − | 1.65766i | −0.273956 | − | 0.961742i | \(-0.588332\pi\) |
0.718124 | − | 0.695915i | \(-0.245001\pi\) | |||||||
\(132\) | −0.867750 | + | 3.23849i | −0.0755280 | + | 0.281874i | ||||
\(133\) | 6.07400 | + | 10.5205i | 0.526682 | + | 0.912241i | ||||
\(134\) | −1.02331 | − | 1.02331i | −0.0884003 | − | 0.0884003i | ||||
\(135\) | −1.54169 | + | 4.66508i | −0.132688 | + | 0.401506i | ||||
\(136\) | −0.887335 | + | 0.512303i | −0.0760883 | + | 0.0439296i | ||||
\(137\) | −4.87205 | + | 4.87205i | −0.416247 | + | 0.416247i | −0.883908 | − | 0.467661i | \(-0.845097\pi\) |
0.467661 | + | 0.883908i | \(0.345097\pi\) | |||||||
\(138\) | 16.6762 | − | 16.6762i | 1.41957 | − | 1.41957i | ||||
\(139\) | 2.69637 | + | 4.67024i | 0.228703 | + | 0.396125i | 0.957424 | − | 0.288686i | \(-0.0932182\pi\) |
−0.728721 | + | 0.684811i | \(0.759885\pi\) | |||||||
\(140\) | −1.86750 | − | 9.00787i | −0.157833 | − | 0.761304i | ||||
\(141\) | −8.48886 | − | 4.90105i | −0.714891 | − | 0.412742i | ||||
\(142\) | −7.23203 | −0.606899 | ||||||||
\(143\) | −0.351260 | − | 0.202800i | −0.0293738 | − | 0.0169590i | ||||
\(144\) | 3.32566 | + | 1.92007i | 0.277138 | + | 0.160006i | ||||
\(145\) | −16.8808 | − | 5.57868i | −1.40187 | − | 0.463284i | ||||
\(146\) | −10.3569 | − | 2.77513i | −0.857146 | − | 0.229671i | ||||
\(147\) | 18.3563 | + | 18.3563i | 1.51400 | + | 1.51400i | ||||
\(148\) | 2.89471 | + | 5.34983i | 0.237944 | + | 0.439753i | ||||
\(149\) | − | 19.5916i | − | 1.60500i | −0.596650 | − | 0.802501i | \(-0.703502\pi\) | ||
0.596650 | − | 0.802501i | \(-0.296498\pi\) | |||||||
\(150\) | 1.91598 | + | 12.9357i | 0.156439 | + | 1.05620i | ||||
\(151\) | −7.97563 | − | 4.60473i | −0.649048 | − | 0.374728i | 0.139044 | − | 0.990286i | \(-0.455597\pi\) |
−0.788091 | + | 0.615558i | \(0.788931\pi\) | |||||||
\(152\) | −2.85215 | + | 0.764232i | −0.231340 | + | 0.0619874i | ||||
\(153\) | −1.96731 | + | 3.40749i | −0.159048 | + | 0.275479i | ||||
\(154\) | −3.72929 | − | 3.72929i | −0.300515 | − | 0.300515i | ||||
\(155\) | −0.656837 | + | 1.98756i | −0.0527584 | + | 0.159644i | ||||
\(156\) | −0.585125 | + | 0.585125i | −0.0468475 | + | 0.0468475i | ||||
\(157\) | 23.4233 | + | 6.27626i | 1.86939 | + | 0.500900i | 0.999977 | + | 0.00680694i | \(0.00216673\pi\) |
0.869409 | + | 0.494093i | \(0.164500\pi\) | |||||||
\(158\) | 3.39712 | + | 3.39712i | 0.270260 | + | 0.270260i | ||||
\(159\) | −18.5095 | −1.46790 | ||||||||
\(160\) | 2.23239 | + | 0.128227i | 0.176486 | + | 0.0101372i | ||||
\(161\) | 9.60179 | + | 35.8344i | 0.756727 | + | 2.82414i | ||||
\(162\) | −5.77376 | −0.453630 | ||||||||
\(163\) | 10.3880 | − | 5.99752i | 0.813652 | − | 0.469762i | −0.0345707 | − | 0.999402i | \(-0.511006\pi\) |
0.848222 | + | 0.529640i | \(0.177673\pi\) | |||||||
\(164\) | 9.70680 | − | 5.60422i | 0.757973 | − | 0.437616i | ||||
\(165\) | 4.98841 | + | 5.59640i | 0.388348 | + | 0.435679i | ||||
\(166\) | −1.52707 | + | 0.409176i | −0.118523 | + | 0.0317582i | ||||
\(167\) | −13.0807 | − | 7.55214i | −1.01221 | − | 0.584402i | −0.100375 | − | 0.994950i | \(-0.532004\pi\) |
−0.911839 | + | 0.410548i | \(0.865338\pi\) | |||||||
\(168\) | −9.31834 | + | 5.37994i | −0.718925 | + | 0.415072i | ||||
\(169\) | 6.44995 | + | 11.1716i | 0.496150 | + | 0.859357i | ||||
\(170\) | −0.131382 | + | 2.28732i | −0.0100766 | + | 0.175429i | ||||
\(171\) | −8.01790 | + | 8.01790i | −0.613144 | + | 0.613144i | ||||
\(172\) | −2.62336 | + | 4.54379i | −0.200029 | + | 0.346461i | ||||
\(173\) | 5.55587 | + | 1.48869i | 0.422405 | + | 0.113183i | 0.463759 | − | 0.885961i | \(-0.346500\pi\) |
−0.0413538 | + | 0.999145i | \(0.513167\pi\) | |||||||
\(174\) | 20.7945i | 1.57643i | ||||||||
\(175\) | −19.1293 | − | 7.56412i | −1.44604 | − | 0.571794i | ||||
\(176\) | 1.11019 | − | 0.640968i | 0.0836836 | − | 0.0483148i | ||||
\(177\) | −22.8590 | −1.71818 | ||||||||
\(178\) | 0.284155 | + | 1.06048i | 0.0212983 | + | 0.0794863i | ||||
\(179\) | −12.3375 | + | 12.3375i | −0.922149 | + | 0.922149i | −0.997181 | − | 0.0750320i | \(-0.976094\pi\) |
0.0750320 | + | 0.997181i | \(0.476094\pi\) | |||||||
\(180\) | 7.67036 | − | 3.85990i | 0.571715 | − | 0.287700i | ||||
\(181\) | 3.76005 | − | 6.51260i | 0.279483 | − | 0.484078i | −0.691774 | − | 0.722114i | \(-0.743170\pi\) |
0.971256 | + | 0.238036i | \(0.0765038\pi\) | |||||||
\(182\) | −0.336902 | − | 1.25733i | −0.0249728 | − | 0.0931998i | ||||
\(183\) | 9.82843 | + | 17.0233i | 0.726538 | + | 1.25840i | ||||
\(184\) | −9.01738 | −0.664770 | ||||||||
\(185\) | 13.5524 | + | 1.15477i | 0.996389 | + | 0.0849004i | ||||
\(186\) | 2.44835 | 0.179522 | ||||||||
\(187\) | 0.656739 | + | 1.13751i | 0.0480255 | + | 0.0831826i | ||||
\(188\) | 0.970024 | + | 3.62018i | 0.0707463 | + | 0.264029i | ||||
\(189\) | −4.51989 | + | 7.82867i | −0.328773 | + | 0.569452i | ||||
\(190\) | −2.07179 | + | 6.26912i | −0.150303 | + | 0.454810i | ||||
\(191\) | −15.3950 | + | 15.3950i | −1.11394 | + | 1.11394i | −0.121331 | + | 0.992612i | \(0.538716\pi\) |
−0.992612 | + | 0.121331i | \(0.961284\pi\) | |||||||
\(192\) | −0.676906 | − | 2.52625i | −0.0488515 | − | 0.182316i | ||||
\(193\) | −11.5000 | −0.827787 | −0.413894 | − | 0.910325i | \(-0.635831\pi\) | ||||
−0.413894 | + | 0.910325i | \(0.635831\pi\) | |||||||
\(194\) | −9.70707 | + | 5.60438i | −0.696927 | + | 0.402371i | ||||
\(195\) | 0.375621 | + | 1.81180i | 0.0268988 | + | 0.129746i | ||||
\(196\) | − | 9.92586i | − | 0.708990i | ||||||
\(197\) | −7.07040 | − | 1.89451i | −0.503745 | − | 0.134978i | −0.00200770 | − | 0.999998i | \(-0.500639\pi\) |
−0.501738 | + | 0.865020i | \(0.667306\pi\) | |||||||
\(198\) | 2.46140 | − | 4.26328i | 0.174924 | − | 0.302978i | ||||
\(199\) | 12.1172 | − | 12.1172i | 0.858964 | − | 0.858964i | −0.132252 | − | 0.991216i | \(-0.542221\pi\) |
0.991216 | + | 0.132252i | \(0.0422209\pi\) | |||||||
\(200\) | 2.97936 | − | 4.01540i | 0.210673 | − | 0.283931i | ||||
\(201\) | 1.89245 | + | 3.27781i | 0.133483 | + | 0.231199i | ||||
\(202\) | 15.2335 | − | 8.79506i | 1.07182 | − | 0.618818i | ||||
\(203\) | −28.3284 | − | 16.3554i | −1.98826 | − | 1.14792i | ||||
\(204\) | 2.58841 | − | 0.693562i | 0.181225 | − | 0.0485591i | ||||
\(205\) | 1.43723 | − | 25.0216i | 0.100380 | − | 1.74758i | ||||
\(206\) | 10.1385 | − | 5.85347i | 0.706383 | − | 0.407830i | ||||
\(207\) | −29.9887 | + | 17.3140i | −2.08436 | + | 1.20341i | ||||
\(208\) | 0.316396 | 0.0219381 | ||||||||
\(209\) | 0.979697 | + | 3.65628i | 0.0677670 | + | 0.252910i | ||||
\(210\) | −1.37971 | + | 24.0203i | −0.0952090 | + | 1.65755i | ||||
\(211\) | −13.3691 | −0.920364 | −0.460182 | − | 0.887825i | \(-0.652216\pi\) | ||||
−0.460182 | + | 0.887825i | \(0.652216\pi\) | |||||||
\(212\) | 5.00436 | + | 5.00436i | 0.343701 | + | 0.343701i | ||||
\(213\) | 18.2699 | + | 4.89541i | 1.25183 | + | 0.335428i | ||||
\(214\) | 5.96645 | − | 5.96645i | 0.407858 | − | 0.407858i | ||||
\(215\) | 5.27372 | + | 10.4799i | 0.359665 | + | 0.714723i | ||||
\(216\) | −1.55370 | − | 1.55370i | −0.105716 | − | 0.105716i | ||||
\(217\) | −1.92569 | + | 3.33540i | −0.130725 | + | 0.226422i | ||||
\(218\) | −1.78246 | + | 0.477608i | −0.120723 | + | 0.0323477i | ||||
\(219\) | 24.2857 | + | 14.0213i | 1.64107 | + | 0.947474i | ||||
\(220\) | 0.164379 | − | 2.86178i | 0.0110824 | − | 0.192941i | ||||
\(221\) | 0.324182i | 0.0218068i | ||||||||
\(222\) | −3.69142 | − | 15.4744i | −0.247752 | − | 1.03858i | ||||
\(223\) | −1.68532 | − | 1.68532i | −0.112857 | − | 0.112857i | 0.648423 | − | 0.761280i | \(-0.275429\pi\) |
−0.761280 | + | 0.648423i | \(0.775429\pi\) | |||||||
\(224\) | 3.97392 | + | 1.06481i | 0.265519 | + | 0.0711455i | ||||
\(225\) | 2.19850 | − | 19.0744i | 0.146567 | − | 1.27163i | ||||
\(226\) | 13.0794 | + | 7.55141i | 0.870030 | + | 0.502312i | ||||
\(227\) | −13.9524 | − | 8.05545i | −0.926057 | − | 0.534659i | −0.0404943 | − | 0.999180i | \(-0.512893\pi\) |
−0.885562 | + | 0.464521i | \(0.846227\pi\) | |||||||
\(228\) | 7.72257 | 0.511439 | ||||||||
\(229\) | 15.8140 | + | 9.13024i | 1.04502 | + | 0.603343i | 0.921251 | − | 0.388968i | \(-0.127168\pi\) |
0.123770 | + | 0.992311i | \(0.460502\pi\) | |||||||
\(230\) | −11.0665 | + | 16.8552i | −0.729704 | + | 1.11140i | ||||
\(231\) | 6.89674 | + | 11.9455i | 0.453772 | + | 0.785957i | ||||
\(232\) | 5.62213 | − | 5.62213i | 0.369111 | − | 0.369111i | ||||
\(233\) | 16.8682 | − | 16.8682i | 1.10507 | − | 1.10507i | 0.111286 | − | 0.993788i | \(-0.464503\pi\) |
0.993788 | − | 0.111286i | \(-0.0354971\pi\) | |||||||
\(234\) | 1.05223 | − | 0.607503i | 0.0687861 | − | 0.0397137i | ||||
\(235\) | 7.95726 | + | 2.62968i | 0.519075 | + | 0.171541i | ||||
\(236\) | 6.18029 | + | 6.18029i | 0.402303 | + | 0.402303i | ||||
\(237\) | −6.28244 | − | 10.8815i | −0.408088 | − | 0.706830i | ||||
\(238\) | −1.09101 | + | 4.07170i | −0.0707196 | + | 0.263929i | ||||
\(239\) | −0.850999 | + | 3.17597i | −0.0550465 | + | 0.205436i | −0.987972 | − | 0.154633i | \(-0.950580\pi\) |
0.932925 | + | 0.360070i | \(0.117247\pi\) | |||||||
\(240\) | −5.55277 | − | 1.83505i | −0.358430 | − | 0.118452i | ||||
\(241\) | −0.114824 | − | 0.428531i | −0.00739649 | − | 0.0276041i | 0.962129 | − | 0.272595i | \(-0.0878818\pi\) |
−0.969525 | + | 0.244991i | \(0.921215\pi\) | |||||||
\(242\) | 4.67832 | + | 8.10309i | 0.300734 | + | 0.520886i | ||||
\(243\) | 20.9531 | + | 5.61438i | 1.34414 | + | 0.360162i | ||||
\(244\) | 1.94526 | − | 7.25981i | 0.124533 | − | 0.464762i | ||||
\(245\) | −18.5533 | − | 12.1814i | −1.18533 | − | 0.778243i | ||||
\(246\) | −28.3153 | + | 7.58707i | −1.80532 | + | 0.483734i | ||||
\(247\) | −0.241800 | + | 0.902411i | −0.0153854 | + | 0.0574191i | ||||
\(248\) | −0.661953 | − | 0.661953i | −0.0420340 | − | 0.0420340i | ||||
\(249\) | 4.13472 | 0.262027 | ||||||||
\(250\) | −3.84915 | − | 10.4969i | −0.243441 | − | 0.663880i | ||||
\(251\) | 15.7017 | + | 15.7017i | 0.991081 | + | 0.991081i | 0.999961 | − | 0.00887934i | \(-0.00282642\pi\) |
−0.00887934 | + | 0.999961i | \(0.502826\pi\) | |||||||
\(252\) | 15.2604 | − | 4.08901i | 0.961315 | − | 0.257583i | ||||
\(253\) | 11.5597i | 0.726752i | ||||||||
\(254\) | 2.85517 | + | 10.6556i | 0.179149 | + | 0.668595i | ||||
\(255\) | 1.88020 | − | 5.68940i | 0.117743 | − | 0.356284i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 14.5578 | − | 8.40494i | 0.908089 | − | 0.524286i | 0.0282735 | − | 0.999600i | \(-0.490999\pi\) |
0.879816 | + | 0.475315i | \(0.157666\pi\) | |||||||
\(258\) | 9.70298 | − | 9.70298i | 0.604081 | − | 0.604081i | ||||
\(259\) | 23.9843 | + | 7.14222i | 1.49031 | + | 0.443796i | ||||
\(260\) | 0.388295 | − | 0.591405i | 0.0240810 | − | 0.0366774i | ||||
\(261\) | 7.90239 | − | 29.4921i | 0.489146 | − | 1.82552i | ||||
\(262\) | 18.9728 | − | 5.08374i | 1.17214 | − | 0.314074i | ||||
\(263\) | −1.50086 | − | 5.60128i | −0.0925470 | − | 0.345390i | 0.904089 | − | 0.427344i | \(-0.140551\pi\) |
−0.996636 | + | 0.0819539i | \(0.973884\pi\) | |||||||
\(264\) | −3.23849 | + | 0.867750i | −0.199315 | + | 0.0534063i | ||||
\(265\) | 15.4957 | − | 3.21255i | 0.951891 | − | 0.197345i | ||||
\(266\) | −6.07400 | + | 10.5205i | −0.372421 | + | 0.645052i | ||||
\(267\) | − | 2.87138i | − | 0.175726i | ||||||
\(268\) | 0.374556 | − | 1.39786i | 0.0228797 | − | 0.0853881i | ||||
\(269\) | − | 20.6435i | − | 1.25866i | −0.777139 | − | 0.629329i | \(-0.783330\pi\) | ||
0.777139 | − | 0.629329i | \(-0.216670\pi\) | |||||||
\(270\) | −4.81093 | + | 0.997397i | −0.292784 | + | 0.0606996i | ||||
\(271\) | 2.00895 | + | 3.47961i | 0.122035 | + | 0.211371i | 0.920570 | − | 0.390577i | \(-0.127725\pi\) |
−0.798535 | + | 0.601948i | \(0.794391\pi\) | |||||||
\(272\) | −0.887335 | − | 0.512303i | −0.0538026 | − | 0.0310629i | ||||
\(273\) | 3.40439i | 0.206043i | ||||||||
\(274\) | −6.65534 | − | 1.78329i | −0.402064 | − | 0.107733i | ||||
\(275\) | −5.14748 | − | 3.81935i | −0.310405 | − | 0.230315i | ||||
\(276\) | 22.7802 | + | 6.10392i | 1.37120 | + | 0.367413i | ||||
\(277\) | −9.64325 | + | 16.7026i | −0.579407 | + | 1.00356i | 0.416141 | + | 0.909300i | \(0.363382\pi\) |
−0.995547 | + | 0.0942619i | \(0.969951\pi\) | |||||||
\(278\) | −2.69637 | + | 4.67024i | −0.161717 | + | 0.280103i | ||||
\(279\) | −3.47242 | − | 0.930432i | −0.207888 | − | 0.0557035i | ||||
\(280\) | 6.86729 | − | 6.12124i | 0.410399 | − | 0.365814i | ||||
\(281\) | −17.9274 | − | 4.80363i | −1.06946 | − | 0.286561i | −0.319188 | − | 0.947691i | \(-0.603410\pi\) |
−0.750271 | + | 0.661131i | \(0.770077\pi\) | |||||||
\(282\) | − | 9.80209i | − | 0.583706i | ||||||
\(283\) | −20.8688 | − | 12.0486i | −1.24052 | − | 0.716216i | −0.271322 | − | 0.962489i | \(-0.587461\pi\) |
−0.969201 | + | 0.246273i | \(0.920794\pi\) | |||||||
\(284\) | −3.61602 | − | 6.26312i | −0.214571 | − | 0.371648i | ||||
\(285\) | 9.47746 | − | 14.4350i | 0.561396 | − | 0.855053i | ||||
\(286\) | − | 0.405600i | − | 0.0239836i | ||||||
\(287\) | 11.9348 | − | 44.5415i | 0.704492 | − | 2.62920i | ||||
\(288\) | 3.84014i | 0.226282i | ||||||||
\(289\) | −7.97509 | + | 13.8133i | −0.469123 | + | 0.812545i | ||||
\(290\) | −3.60912 | − | 17.4086i | −0.211935 | − | 1.02227i | ||||
\(291\) | 28.3161 | − | 7.58728i | 1.65992 | − | 0.444774i | ||||
\(292\) | −2.77513 | − | 10.3569i | −0.162402 | − | 0.606093i | ||||
\(293\) | 8.37202 | − | 2.24328i | 0.489099 | − | 0.131054i | −0.00583742 | − | 0.999983i | \(-0.501858\pi\) |
0.494936 | + | 0.868929i | \(0.335191\pi\) | |||||||
\(294\) | −6.71888 | + | 25.0752i | −0.391853 | + | 1.46242i | ||||
\(295\) | 19.1369 | − | 3.96744i | 1.11419 | − | 0.230993i | ||||
\(296\) | −3.18573 | + | 5.18181i | −0.185167 | + | 0.301186i | ||||
\(297\) | −1.99174 | + | 1.99174i | −0.115573 | + | 0.115573i | ||||
\(298\) | 16.9668 | − | 9.79578i | 0.982860 | − | 0.567454i | ||||
\(299\) | −1.42653 | + | 2.47083i | −0.0824986 | + | 0.142892i | ||||
\(300\) | −10.2447 | + | 8.12714i | −0.591476 | + | 0.469221i | ||||
\(301\) | 5.58675 | + | 20.8500i | 0.322015 | + | 1.20178i | ||||
\(302\) | − | 9.20947i | − | 0.529945i | ||||||
\(303\) | −44.4370 | + | 11.9069i | −2.55284 | + | 0.684031i | ||||
\(304\) | −2.08792 | − | 2.08792i | −0.119751 | − | 0.119751i | ||||
\(305\) | −11.1827 | − | 12.5456i | −0.640318 | − | 0.718360i | ||||
\(306\) | −3.93463 | −0.224928 | ||||||||
\(307\) | −1.09942 | − | 1.09942i | −0.0627473 | − | 0.0627473i | 0.675037 | − | 0.737784i | \(-0.264128\pi\) |
−0.737784 | + | 0.675037i | \(0.764128\pi\) | |||||||
\(308\) | 1.36502 | − | 5.09431i | 0.0777790 | − | 0.290275i | ||||
\(309\) | −29.5746 | + | 7.92450i | −1.68244 | + | 0.450809i | ||||
\(310\) | −2.04969 | + | 0.424940i | −0.116415 | + | 0.0241350i | ||||
\(311\) | −6.59852 | + | 24.6260i | −0.374168 | + | 1.39641i | 0.480389 | + | 0.877055i | \(0.340495\pi\) |
−0.854557 | + | 0.519357i | \(0.826171\pi\) | |||||||
\(312\) | −0.799296 | − | 0.214171i | −0.0452512 | − | 0.0121250i | ||||
\(313\) | −2.48821 | − | 4.30971i | −0.140642 | − | 0.243599i | 0.787096 | − | 0.616830i | \(-0.211583\pi\) |
−0.927739 | + | 0.373231i | \(0.878250\pi\) | |||||||
\(314\) | 6.27626 | + | 23.4233i | 0.354190 | + | 1.32186i | ||||
\(315\) | 11.0851 | − | 33.5428i | 0.624572 | − | 1.88992i | ||||
\(316\) | −1.24343 | + | 4.64055i | −0.0699486 | + | 0.261052i | ||||
\(317\) | −6.10824 | + | 22.7963i | −0.343073 | + | 1.28037i | 0.551774 | + | 0.833994i | \(0.313951\pi\) |
−0.894847 | + | 0.446373i | \(0.852716\pi\) | |||||||
\(318\) | −9.25477 | − | 16.0297i | −0.518982 | − | 0.898903i | ||||
\(319\) | −7.20721 | − | 7.20721i | −0.403526 | − | 0.403526i | ||||
\(320\) | 1.00515 | + | 1.99742i | 0.0561894 | + | 0.111659i | ||||
\(321\) | −19.1115 | + | 11.0340i | −1.06670 | + | 0.615858i | ||||
\(322\) | −26.2326 | + | 26.2326i | −1.46188 | + | 1.46188i | ||||
\(323\) | 2.13930 | − | 2.13930i | 0.119034 | − | 0.119034i | ||||
\(324\) | −2.88688 | − | 5.00023i | −0.160382 | − | 0.277790i | ||||
\(325\) | −0.628918 | − | 1.45160i | −0.0348861 | − | 0.0805200i | ||||
\(326\) | 10.3880 | + | 5.99752i | 0.575339 | + | 0.332172i | ||||
\(327\) | 4.82623 | 0.266891 | ||||||||
\(328\) | 9.70680 | + | 5.60422i | 0.535968 | + | 0.309441i | ||||
\(329\) | 13.3534 | + | 7.70960i | 0.736198 | + | 0.425044i | ||||
\(330\) | −2.35242 | + | 7.11829i | −0.129496 | + | 0.391849i | ||||
\(331\) | 28.9715 | + | 7.76288i | 1.59242 | + | 0.426687i | 0.942741 | − | 0.333526i | \(-0.108238\pi\) |
0.649675 | + | 0.760212i | \(0.274905\pi\) | |||||||
\(332\) | −1.11789 | − | 1.11789i | −0.0613522 | − | 0.0613522i | ||||
\(333\) | −0.645231 | + | 23.3497i | −0.0353584 | + | 1.27956i | ||||
\(334\) | − | 15.1043i | − | 0.826469i | ||||||
\(335\) | −2.15320 | − | 2.41563i | −0.117642 | − | 0.131980i | ||||
\(336\) | −9.31834 | − | 5.37994i | −0.508357 | − | 0.293500i | ||||
\(337\) | −17.4513 | + | 4.67605i | −0.950631 | + | 0.254721i | −0.700630 | − | 0.713525i | \(-0.747098\pi\) |
−0.250001 | + | 0.968246i | \(0.580431\pi\) | |||||||
\(338\) | −6.44995 | + | 11.1716i | −0.350831 | + | 0.607657i | ||||
\(339\) | −27.9303 | − | 27.9303i | −1.51696 | − | 1.51696i | ||||
\(340\) | −2.04657 | + | 1.02988i | −0.110991 | + | 0.0558530i | ||||
\(341\) | −0.848581 | + | 0.848581i | −0.0459532 | + | 0.0459532i | ||||
\(342\) | −10.9527 | − | 2.93476i | −0.592252 | − | 0.158693i | ||||
\(343\) | −8.51166 | − | 8.51166i | −0.459587 | − | 0.459587i | ||||
\(344\) | −5.24672 | −0.282884 | ||||||||
\(345\) | 39.3662 | − | 35.0895i | 2.11940 | − | 1.88915i | ||||
\(346\) | 1.48869 | + | 5.55587i | 0.0800325 | + | 0.298686i | ||||
\(347\) | 8.48949 | 0.455739 | 0.227870 | − | 0.973692i | \(-0.426824\pi\) | ||||
0.227870 | + | 0.973692i | \(0.426824\pi\) | |||||||
\(348\) | −18.0086 | + | 10.3972i | −0.965360 | + | 0.557351i | ||||
\(349\) | 9.23117 | − | 5.32962i | 0.494133 | − | 0.285288i | −0.232154 | − | 0.972679i | \(-0.574577\pi\) |
0.726288 | + | 0.687391i | \(0.241244\pi\) | |||||||
\(350\) | −3.01394 | − | 20.3485i | −0.161102 | − | 1.08767i | ||||
\(351\) | −0.671518 | + | 0.179933i | −0.0358430 | + | 0.00960409i | ||||
\(352\) | 1.11019 | + | 0.640968i | 0.0591733 | + | 0.0341637i | ||||
\(353\) | −20.5678 | + | 11.8748i | −1.09472 | + | 0.632034i | −0.934828 | − | 0.355101i | \(-0.884447\pi\) |
−0.159888 | + | 0.987135i | \(0.551113\pi\) | |||||||
\(354\) | −11.4295 | − | 19.7964i | −0.607470 | − | 1.05217i | ||||
\(355\) | −16.1447 | − | 0.927342i | −0.856872 | − | 0.0492182i | ||||
\(356\) | −0.776325 | + | 0.776325i | −0.0411451 | + | 0.0411451i | ||||
\(357\) | 5.51232 | − | 9.54762i | 0.291743 | − | 0.505314i | ||||
\(358\) | −16.8534 | − | 4.51584i | −0.890728 | − | 0.238670i | ||||
\(359\) | 7.20698i | 0.380370i | 0.981748 | + | 0.190185i | \(0.0609088\pi\) | ||||
−0.981748 | + | 0.190185i | \(0.939091\pi\) | |||||||
\(360\) | 7.17795 | + | 4.71278i | 0.378311 | + | 0.248385i | ||||
\(361\) | −8.90375 | + | 5.14058i | −0.468618 | + | 0.270557i | ||||
\(362\) | 7.52011 | 0.395248 | ||||||||
\(363\) | −6.33357 | − | 23.6372i | −0.332426 | − | 1.24063i | ||||
\(364\) | 0.920432 | − | 0.920432i | 0.0482438 | − | 0.0482438i | ||||
\(365\) | −22.7648 | − | 7.52321i | −1.19157 | − | 0.393783i | ||||
\(366\) | −9.82843 | + | 17.0233i | −0.513740 | + | 0.889824i | ||||
\(367\) | −0.389839 | − | 1.45490i | −0.0203494 | − | 0.0759452i | 0.955004 | − | 0.296592i | \(-0.0958500\pi\) |
−0.975354 | + | 0.220646i | \(0.929183\pi\) | |||||||
\(368\) | −4.50869 | − | 7.80928i | −0.235032 | − | 0.407087i | ||||
\(369\) | 43.0419 | 2.24067 | ||||||||
\(370\) | 5.77612 | + | 12.3141i | 0.300286 | + | 0.640178i | ||||
\(371\) | 29.1165 | 1.51165 | ||||||||
\(372\) | 1.22418 | + | 2.12034i | 0.0634706 | + | 0.109934i | ||||
\(373\) | 3.38844 | + | 12.6458i | 0.175447 | + | 0.654777i | 0.996475 | + | 0.0838891i | \(0.0267341\pi\) |
−0.821028 | + | 0.570888i | \(0.806599\pi\) | |||||||
\(374\) | −0.656739 | + | 1.13751i | −0.0339592 | + | 0.0588190i | ||||
\(375\) | 2.61851 | + | 29.1232i | 0.135219 | + | 1.50392i | ||||
\(376\) | −2.65016 | + | 2.65016i | −0.136671 | + | 0.136671i | ||||
\(377\) | −0.651094 | − | 2.42992i | −0.0335330 | − | 0.125147i | ||||
\(378\) | −9.03977 | −0.464956 | ||||||||
\(379\) | 10.0980 | − | 5.83006i | 0.518697 | − | 0.299470i | −0.217704 | − | 0.976015i | \(-0.569857\pi\) |
0.736401 | + | 0.676545i | \(0.236524\pi\) | |||||||
\(380\) | −6.46511 | + | 1.34034i | −0.331653 | + | 0.0687580i | ||||
\(381\) | − | 28.8515i | − | 1.47811i | ||||||
\(382\) | −21.0300 | − | 5.63496i | −1.07599 | − | 0.288310i | ||||
\(383\) | 9.45011 | − | 16.3681i | 0.482878 | − | 0.836369i | −0.516929 | − | 0.856028i | \(-0.672925\pi\) |
0.999807 | + | 0.0196592i | \(0.00625811\pi\) | |||||||
\(384\) | 1.84934 | − | 1.84934i | 0.0943739 | − | 0.0943739i | ||||
\(385\) | −7.84703 | − | 8.80343i | −0.399922 | − | 0.448664i | ||||
\(386\) | −5.75000 | − | 9.95928i | −0.292667 | − | 0.506914i | ||||
\(387\) | −17.4488 | + | 10.0741i | −0.886971 | + | 0.512093i | ||||
\(388\) | −9.70707 | − | 5.60438i | −0.492802 | − | 0.284519i | ||||
\(389\) | −27.5808 | + | 7.39025i | −1.39840 | + | 0.374701i | −0.877771 | − | 0.479081i | \(-0.840970\pi\) |
−0.520631 | + | 0.853782i | \(0.674303\pi\) | |||||||
\(390\) | −1.38126 | + | 1.23120i | −0.0699426 | + | 0.0623441i | ||||
\(391\) | 8.00143 | − | 4.61963i | 0.404650 | − | 0.233625i | ||||
\(392\) | 8.59605 | − | 4.96293i | 0.434166 | − | 0.250666i | ||||
\(393\) | −51.3711 | −2.59133 | ||||||||
\(394\) | −1.89451 | − | 7.07040i | −0.0954440 | − | 0.356202i | ||||
\(395\) | 7.14809 | + | 8.01930i | 0.359660 | + | 0.403495i | ||||
\(396\) | 4.92281 | 0.247380 | ||||||||
\(397\) | 19.2370 | + | 19.2370i | 0.965477 | + | 0.965477i | 0.999424 | − | 0.0339463i | \(-0.0108075\pi\) |
−0.0339463 | + | 0.999424i | \(0.510808\pi\) | |||||||
\(398\) | 16.5524 | + | 4.43519i | 0.829695 | + | 0.222316i | ||||
\(399\) | 22.4658 | − | 22.4658i | 1.12470 | − | 1.12470i | ||||
\(400\) | 4.96712 | + | 0.572505i | 0.248356 | + | 0.0286253i | ||||
\(401\) | −6.04888 | − | 6.04888i | −0.302067 | − | 0.302067i | 0.539755 | − | 0.841822i | \(-0.318517\pi\) |
−0.841822 | + | 0.539755i | \(0.818517\pi\) | |||||||
\(402\) | −1.89245 | + | 3.27781i | −0.0943866 | + | 0.163482i | ||||
\(403\) | −0.286100 | + | 0.0766602i | −0.0142516 | + | 0.00381871i | ||||
\(404\) | 15.2335 | + | 8.79506i | 0.757894 | + | 0.437570i | ||||
\(405\) | −12.8893 | − | 0.740353i | −0.640474 | − | 0.0367884i | ||||
\(406\) | − | 32.7108i | − | 1.62341i | ||||||
\(407\) | 6.64274 | + | 4.08390i | 0.329268 | + | 0.202432i | ||||
\(408\) | 1.89485 | + | 1.89485i | 0.0938089 | + | 0.0938089i | ||||
\(409\) | −19.7000 | − | 5.27859i | −0.974100 | − | 0.261009i | −0.263542 | − | 0.964648i | \(-0.584891\pi\) |
−0.710558 | + | 0.703639i | \(0.751557\pi\) | |||||||
\(410\) | 22.3879 | − | 11.2661i | 1.10566 | − | 0.556394i | ||||
\(411\) | 15.6059 | + | 9.01008i | 0.769783 | + | 0.444435i | ||||
\(412\) | 10.1385 | + | 5.85347i | 0.499488 | + | 0.288380i | ||||
\(413\) | 35.9583 | 1.76939 | ||||||||
\(414\) | −29.9887 | − | 17.3140i | −1.47386 | − | 0.850936i | ||||
\(415\) | −3.46147 | + | 0.717629i | −0.169917 | + | 0.0352270i | ||||
\(416\) | 0.158198 | + | 0.274007i | 0.00775630 | + | 0.0134343i | ||||
\(417\) | 9.97301 | − | 9.97301i | 0.488381 | − | 0.488381i | ||||
\(418\) | −2.67658 | + | 2.67658i | −0.130916 | + | 0.130916i | ||||
\(419\) | −11.5211 | + | 6.65171i | −0.562843 | + | 0.324957i | −0.754286 | − | 0.656546i | \(-0.772017\pi\) |
0.191443 | + | 0.981504i | \(0.438683\pi\) | |||||||
\(420\) | −21.4920 | + | 10.8153i | −1.04870 | + | 0.527731i | ||||
\(421\) | −16.5257 | − | 16.5257i | −0.805413 | − | 0.805413i | 0.178523 | − | 0.983936i | \(-0.442868\pi\) |
−0.983936 | + | 0.178523i | \(0.942868\pi\) | |||||||
\(422\) | −6.68453 | − | 11.5779i | −0.325398 | − | 0.563606i | ||||
\(423\) | −3.72502 | + | 13.9020i | −0.181117 | + | 0.675937i | ||||
\(424\) | −1.83172 | + | 6.83608i | −0.0889563 | + | 0.331989i | ||||
\(425\) | −0.586592 | + | 5.08933i | −0.0284539 | + | 0.246869i | ||||
\(426\) | 4.89541 | + | 18.2699i | 0.237183 | + | 0.885180i | ||||
\(427\) | −15.4606 | − | 26.7786i | −0.748192 | − | 1.29591i | ||||
\(428\) | 8.15032 | + | 2.18387i | 0.393960 | + | 0.105561i | ||||
\(429\) | −0.274553 | + | 1.02465i | −0.0132555 | + | 0.0494704i | ||||
\(430\) | −6.43899 | + | 9.80712i | −0.310516 | + | 0.472941i | ||||
\(431\) | −6.77322 | + | 1.81488i | −0.326255 | + | 0.0874197i | −0.418229 | − | 0.908342i | \(-0.637349\pi\) |
0.0919741 | + | 0.995761i | \(0.470682\pi\) | |||||||
\(432\) | 0.568694 | − | 2.12239i | 0.0273613 | − | 0.102114i | ||||
\(433\) | 3.46329 | + | 3.46329i | 0.166435 | + | 0.166435i | 0.785410 | − | 0.618975i | \(-0.212452\pi\) |
−0.618975 | + | 0.785410i | \(0.712452\pi\) | |||||||
\(434\) | −3.85139 | −0.184873 | ||||||||
\(435\) | −2.66642 | + | 46.4214i | −0.127845 | + | 2.22573i | ||||
\(436\) | −1.30485 | − | 1.30485i | −0.0624910 | − | 0.0624910i | ||||
\(437\) | 25.7190 | − | 6.89138i | 1.23030 | − | 0.329659i | ||||
\(438\) | 28.0427i | 1.33993i | ||||||||
\(439\) | 3.93412 | + | 14.6823i | 0.187765 | + | 0.700749i | 0.994022 | + | 0.109183i | \(0.0348235\pi\) |
−0.806256 | + | 0.591566i | \(0.798510\pi\) | |||||||
\(440\) | 2.56056 | − | 1.28853i | 0.122070 | − | 0.0614284i | ||||
\(441\) | 19.0583 | − | 33.0100i | 0.907540 | − | 1.57190i | ||||
\(442\) | −0.280749 | + | 0.162091i | −0.0133539 | + | 0.00770987i | ||||
\(443\) | 0.683223 | − | 0.683223i | 0.0324609 | − | 0.0324609i | −0.690690 | − | 0.723151i | \(-0.742693\pi\) |
0.723151 | + | 0.690690i | \(0.242693\pi\) | |||||||
\(444\) | 11.5556 | − | 10.9341i | 0.548402 | − | 0.518909i | ||||
\(445\) | 0.498361 | + | 2.40384i | 0.0236246 | + | 0.113953i | ||||
\(446\) | 0.616869 | − | 2.30219i | 0.0292096 | − | 0.109012i | ||||
\(447\) | −49.4932 | + | 13.2617i | −2.34095 | + | 0.627255i | ||||
\(448\) | 1.06481 | + | 3.97392i | 0.0503075 | + | 0.187750i | ||||
\(449\) | −22.3408 | + | 5.98619i | −1.05433 | + | 0.282506i | −0.744038 | − | 0.668137i | \(-0.767092\pi\) |
−0.310287 | + | 0.950643i | \(0.600425\pi\) | |||||||
\(450\) | 17.6182 | − | 7.63325i | 0.830528 | − | 0.359835i | ||||
\(451\) | 7.18425 | − | 12.4435i | 0.338293 | − | 0.585941i | ||||
\(452\) | 15.1028i | 0.710377i | ||||||||
\(453\) | −6.23395 | + | 23.2654i | −0.292896 | + | 1.09310i | ||||
\(454\) | − | 16.1109i | − | 0.756122i | ||||||
\(455\) | −0.590871 | − | 2.85006i | −0.0277005 | − | 0.133613i | ||||
\(456\) | 3.86128 | + | 6.68794i | 0.180821 | + | 0.313191i | ||||
\(457\) | −0.394118 | − | 0.227544i | −0.0184361 | − | 0.0106441i | 0.490754 | − | 0.871298i | \(-0.336722\pi\) |
−0.509190 | + | 0.860654i | \(0.670055\pi\) | |||||||
\(458\) | 18.2605i | 0.853256i | ||||||||
\(459\) | 2.17462 | + | 0.582687i | 0.101502 | + | 0.0271975i | ||||
\(460\) | −20.1303 | − | 1.15627i | −0.938580 | − | 0.0539115i | ||||
\(461\) | 1.76440 | + | 0.472769i | 0.0821762 | + | 0.0220191i | 0.299673 | − | 0.954042i | \(-0.403122\pi\) |
−0.217497 | + | 0.976061i | \(0.569789\pi\) | |||||||
\(462\) | −6.89674 | + | 11.9455i | −0.320865 | + | 0.555755i | ||||
\(463\) | −9.85847 | + | 17.0754i | −0.458162 | + | 0.793560i | −0.998864 | − | 0.0476546i | \(-0.984825\pi\) |
0.540702 | + | 0.841214i | \(0.318159\pi\) | |||||||
\(464\) | 7.67997 | + | 2.05784i | 0.356534 | + | 0.0955329i | ||||
\(465\) | 5.46568 | + | 0.313945i | 0.253465 | + | 0.0145589i | ||||
\(466\) | 23.0424 | + | 6.17420i | 1.06742 | + | 0.286014i | ||||
\(467\) | − | 5.43514i | − | 0.251508i | −0.992061 | − | 0.125754i | \(-0.959865\pi\) | ||
0.992061 | − | 0.125754i | \(-0.0401350\pi\) | |||||||
\(468\) | 1.05223 | + | 0.607503i | 0.0486391 | + | 0.0280818i | ||||
\(469\) | −2.97691 | − | 5.15617i | −0.137461 | − | 0.238090i | ||||
\(470\) | 1.70127 | + | 8.20603i | 0.0784735 | + | 0.378516i | ||||
\(471\) | − | 63.4216i | − | 2.92231i | ||||||
\(472\) | −2.26214 | + | 8.44244i | −0.104124 | + | 0.388595i | ||||
\(473\) | 6.72595i | 0.309260i | ||||||||
\(474\) | 6.28244 | − | 10.8815i | 0.288562 | − | 0.499804i | ||||
\(475\) | −5.42890 | + | 13.7295i | −0.249095 | + | 0.629951i | ||||
\(476\) | −4.07170 | + | 1.09101i | −0.186626 | + | 0.0500063i | ||||
\(477\) | 7.03406 | + | 26.2515i | 0.322068 | + | 1.20197i | ||||
\(478\) | −3.17597 | + | 0.850999i | −0.145265 | + | 0.0389238i | ||||
\(479\) | 1.75560 | − | 6.55198i | 0.0802154 | − | 0.299368i | −0.914150 | − | 0.405376i | \(-0.867140\pi\) |
0.994365 | + | 0.106009i | \(0.0338071\pi\) | |||||||
\(480\) | −1.18718 | − | 5.72637i | −0.0541873 | − | 0.261372i | ||||
\(481\) | 0.915875 | + | 1.69267i | 0.0417603 | + | 0.0771789i | ||||
\(482\) | 0.313706 | − | 0.313706i | 0.0142889 | − | 0.0142889i | ||||
\(483\) | 84.0270 | − | 48.5130i | 3.82336 | − | 2.20742i | ||||
\(484\) | −4.67832 | + | 8.10309i | −0.212651 | + | 0.368322i | ||||
\(485\) | −22.3886 | + | 11.2664i | −1.01661 | + | 0.511583i | ||||
\(486\) | 5.61438 | + | 20.9531i | 0.254673 | + | 0.950454i | ||||
\(487\) | 6.62657i | 0.300278i | 0.988665 | + | 0.150139i | \(0.0479722\pi\) | ||||
−0.988665 | + | 0.150139i | \(0.952028\pi\) | |||||||
\(488\) | 7.25981 | − | 1.94526i | 0.328636 | − | 0.0880578i | ||||
\(489\) | −22.1829 | − | 22.1829i | −1.00315 | − | 1.00315i | ||||
\(490\) | 1.27276 | − | 22.1584i | 0.0574976 | − | 1.00101i | ||||
\(491\) | 33.6405 | 1.51818 | 0.759088 | − | 0.650988i | \(-0.225645\pi\) | ||||
0.759088 | + | 0.650988i | \(0.225645\pi\) | |||||||
\(492\) | −20.7282 | − | 20.7282i | −0.934502 | − | 0.934502i | ||||
\(493\) | −2.10848 | + | 7.86894i | −0.0949610 | + | 0.354399i | ||||
\(494\) | −0.902411 | + | 0.241800i | −0.0406014 | + | 0.0108791i | ||||
\(495\) | 6.04148 | − | 9.20167i | 0.271544 | − | 0.413584i | ||||
\(496\) | 0.242292 | − | 0.904244i | 0.0108792 | − | 0.0406018i | ||||
\(497\) | −28.7395 | − | 7.70073i | −1.28914 | − | 0.345425i | ||||
\(498\) | 2.06736 | + | 3.58077i | 0.0926406 | + | 0.160458i | ||||
\(499\) | −3.85319 | − | 14.3803i | −0.172492 | − | 0.643751i | −0.996965 | − | 0.0778489i | \(-0.975195\pi\) |
0.824473 | − | 0.565902i | \(-0.191472\pi\) | |||||||
\(500\) | 7.16598 | − | 8.58189i | 0.320472 | − | 0.383794i | ||||
\(501\) | −10.2242 | + | 38.1572i | −0.456783 | + | 1.70474i | ||||
\(502\) | −5.74721 | + | 21.4489i | −0.256511 | + | 0.957311i | ||||
\(503\) | −2.29732 | − | 3.97907i | −0.102432 | − | 0.177418i | 0.810254 | − | 0.586079i | \(-0.199329\pi\) |
−0.912686 | + | 0.408661i | \(0.865996\pi\) | |||||||
\(504\) | 11.1714 | + | 11.1714i | 0.497613 | + | 0.497613i | ||||
\(505\) | 35.1348 | − | 17.6806i | 1.56348 | − | 0.786778i | ||||
\(506\) | −10.0110 | + | 5.77985i | −0.445043 | + | 0.256946i | ||||
\(507\) | 23.8563 | − | 23.8563i | 1.05950 | − | 1.05950i | ||||
\(508\) | −7.80047 | + | 7.80047i | −0.346090 | + | 0.346090i | ||||
\(509\) | 9.21302 | + | 15.9574i | 0.408360 | + | 0.707300i | 0.994706 | − | 0.102760i | \(-0.0327674\pi\) |
−0.586346 | + | 0.810061i | \(0.699434\pi\) | |||||||
\(510\) | 5.86727 | − | 1.21640i | 0.259807 | − | 0.0538629i | ||||
\(511\) | −38.2026 | − | 22.0563i | −1.68998 | − | 0.975713i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 5.61878 | + | 3.24400i | 0.248075 | + | 0.143226i | ||||
\(514\) | 14.5578 | + | 8.40494i | 0.642116 | + | 0.370726i | ||||
\(515\) | 23.3837 | − | 11.7672i | 1.03041 | − | 0.518524i | ||||
\(516\) | 13.2545 | + | 3.55154i | 0.583498 | + | 0.156348i | ||||
\(517\) | 3.39733 | + | 3.39733i | 0.149414 | + | 0.149414i | ||||
\(518\) | 5.80680 | + | 24.3421i | 0.255136 | + | 1.06953i | ||||
\(519\) | − | 15.0432i | − | 0.660324i | ||||||
\(520\) | 0.706320 | + | 0.0405706i | 0.0309742 | + | 0.00177914i | ||||
\(521\) | 18.6627 | + | 10.7749i | 0.817629 | + | 0.472058i | 0.849598 | − | 0.527430i | \(-0.176844\pi\) |
−0.0319690 | + | 0.999489i | \(0.510178\pi\) | |||||||
\(522\) | 29.4921 | − | 7.90239i | 1.29084 | − | 0.345878i | ||||
\(523\) | −0.0543266 | + | 0.0940964i | −0.00237554 | + | 0.00411455i | −0.867211 | − | 0.497941i | \(-0.834089\pi\) |
0.864835 | + | 0.502056i | \(0.167423\pi\) | |||||||
\(524\) | 13.8890 | + | 13.8890i | 0.606745 | + | 0.606745i | ||||
\(525\) | −6.16009 | + | 53.4456i | −0.268848 | + | 2.33256i | ||||
\(526\) | 4.10042 | − | 4.10042i | 0.178787 | − | 0.178787i | ||||
\(527\) | 0.926494 | + | 0.248253i | 0.0403587 | + | 0.0108141i | ||||
\(528\) | −2.37074 | − | 2.37074i | −0.103173 | − | 0.103173i | ||||
\(529\) | 58.3132 | 2.53536 | ||||||||
\(530\) | 10.5300 | + | 11.8134i | 0.457393 | + | 0.513140i | ||||
\(531\) | 8.68694 | + | 32.4201i | 0.376981 | + | 1.40691i | ||||
\(532\) | −12.1480 | −0.526682 | ||||||||
\(533\) | 3.07119 | − | 1.77316i | 0.133028 | − | 0.0768039i | ||||
\(534\) | 2.48669 | − | 1.43569i | 0.107610 | − | 0.0621284i | ||||
\(535\) | 14.0845 | − | 12.5544i | 0.608925 | − | 0.542772i | ||||
\(536\) | 1.39786 | − | 0.374556i | 0.0603785 | − | 0.0161784i | ||||
\(537\) | 39.5190 | + | 22.8163i | 1.70537 | + | 0.984596i | ||||
\(538\) | 17.8778 | − | 10.3218i | 0.770768 | − | 0.445003i | ||||
\(539\) | −6.36216 | − | 11.0196i | −0.274038 | − | 0.474647i | ||||
\(540\) | −3.26923 | − | 3.66769i | −0.140685 | − | 0.157832i | ||||
\(541\) | −31.8709 | + | 31.8709i | −1.37024 | + | 1.37024i | −0.510155 | + | 0.860082i | \(0.670412\pi\) |
−0.860082 | + | 0.510155i | \(0.829588\pi\) | |||||||
\(542\) | −2.00895 | + | 3.47961i | −0.0862919 | + | 0.149462i | ||||
\(543\) | −18.9977 | − | 5.09041i | −0.815268 | − | 0.218450i | ||||
\(544\) | − | 1.02461i | − | 0.0439296i | ||||||
\(545\) | −4.04038 | + | 0.837648i | −0.173071 | + | 0.0358809i | ||||
\(546\) | −2.94829 | + | 1.70219i | −0.126175 | + | 0.0728472i | ||||
\(547\) | −19.5536 | −0.836050 | −0.418025 | − | 0.908435i | \(-0.637278\pi\) | ||||
−0.418025 | + | 0.908435i | \(0.637278\pi\) | |||||||
\(548\) | −1.78329 | − | 6.65534i | −0.0761785 | − | 0.284302i | ||||
\(549\) | 20.4086 | − | 20.4086i | 0.871018 | − | 0.871018i | ||||
\(550\) | 0.733915 | − | 6.36752i | 0.0312942 | − | 0.271512i | ||||
\(551\) | −11.7386 | + | 20.3318i | −0.500080 | + | 0.866164i | ||||
\(552\) | 6.10392 | + | 22.7802i | 0.259800 | + | 0.969588i | ||||
\(553\) | 9.88261 | + | 17.1172i | 0.420251 | + | 0.727896i | ||||
\(554\) | −19.2865 | −0.819405 | ||||||||
\(555\) | −6.25644 | − | 35.0183i | −0.265571 | − | 1.48644i | ||||
\(556\) | −5.39273 | −0.228703 | ||||||||
\(557\) | −16.1397 | − | 27.9548i | −0.683862 | − | 1.18448i | −0.973793 | − | 0.227436i | \(-0.926966\pi\) |
0.289931 | − | 0.957047i | \(-0.406368\pi\) | |||||||
\(558\) | −0.930432 | − | 3.47242i | −0.0393883 | − | 0.146999i | ||||
\(559\) | −0.830021 | + | 1.43764i | −0.0351062 | + | 0.0608057i | ||||
\(560\) | 8.73480 | + | 2.88663i | 0.369113 | + | 0.121982i | ||||
\(561\) | 2.42907 | − | 2.42907i | 0.102555 | − | 0.102555i | ||||
\(562\) | −4.80363 | − | 17.9274i | −0.202629 | − | 0.756222i | ||||
\(563\) | −10.5166 | −0.443221 | −0.221610 | − | 0.975135i | \(-0.571131\pi\) | ||||
−0.221610 | + | 0.975135i | \(0.571131\pi\) | |||||||
\(564\) | 8.48886 | − | 4.90105i | 0.357445 | − | 0.206371i | ||||
\(565\) | 28.2301 | + | 18.5348i | 1.18765 | + | 0.779766i | ||||
\(566\) | − | 24.0972i | − | 1.01288i | ||||||
\(567\) | −22.9445 | − | 6.14795i | −0.963577 | − | 0.258190i | ||||
\(568\) | 3.61602 | − | 6.26312i | 0.151725 | − | 0.262795i | ||||
\(569\) | 17.6830 | − | 17.6830i | 0.741311 | − | 0.741311i | −0.231520 | − | 0.972830i | \(-0.574370\pi\) |
0.972830 | + | 0.231520i | \(0.0743698\pi\) | |||||||
\(570\) | 17.2398 | + | 0.990242i | 0.722094 | + | 0.0414767i | ||||
\(571\) | −12.0264 | − | 20.8303i | −0.503289 | − | 0.871723i | −0.999993 | − | 0.00380245i | \(-0.998790\pi\) |
0.496703 | − | 0.867920i | \(-0.334544\pi\) | |||||||
\(572\) | 0.351260 | − | 0.202800i | 0.0146869 | − | 0.00847949i | ||||
\(573\) | 49.3126 | + | 28.4706i | 2.06006 | + | 1.18938i | ||||
\(574\) | 44.5415 | − | 11.9348i | 1.85912 | − | 0.498151i | ||||
\(575\) | −26.8660 | + | 36.2084i | −1.12039 | + | 1.50999i | ||||
\(576\) | −3.32566 | + | 1.92007i | −0.138569 | + | 0.0800028i | ||||
\(577\) | −23.1465 | + | 13.3636i | −0.963602 | + | 0.556336i | −0.897280 | − | 0.441462i | \(-0.854460\pi\) |
−0.0663223 | + | 0.997798i | \(0.521127\pi\) | |||||||
\(578\) | −15.9502 | −0.663440 | ||||||||
\(579\) | 7.78442 | + | 29.0518i | 0.323509 | + | 1.20735i | ||||
\(580\) | 13.2717 | − | 11.8299i | 0.551077 | − | 0.491209i | ||||
\(581\) | −6.50413 | −0.269837 | ||||||||
\(582\) | 20.7288 | + | 20.7288i | 0.859238 | + | 0.859238i | ||||
\(583\) | 8.76342 | + | 2.34815i | 0.362944 | + | 0.0972504i | ||||
\(584\) | 7.58180 | − | 7.58180i | 0.313737 | − | 0.313737i | ||||
\(585\) | 2.42687 | − | 1.22126i | 0.100339 | − | 0.0504928i | ||||
\(586\) | 6.12874 | + | 6.12874i | 0.253176 | + | 0.253176i | ||||
\(587\) | 11.5117 | − | 19.9388i | 0.475137 | − | 0.822961i | −0.524458 | − | 0.851437i | \(-0.675732\pi\) |
0.999594 | + | 0.0284753i | \(0.00906518\pi\) | |||||||
\(588\) | −25.0752 | + | 6.71888i | −1.03408 | + | 0.277082i | ||||
\(589\) | 2.39388 | + | 1.38211i | 0.0986380 | + | 0.0569487i | ||||
\(590\) | 13.0043 | + | 14.5893i | 0.535380 | + | 0.600632i | ||||
\(591\) | 19.1440i | 0.787479i | ||||||||
\(592\) | −6.08044 | − | 0.168023i | −0.249905 | − | 0.00690570i | ||||
\(593\) | −18.8196 | − | 18.8196i | −0.772828 | − | 0.772828i | 0.205772 | − | 0.978600i | \(-0.434030\pi\) |
−0.978600 | + | 0.205772i | \(0.934030\pi\) | |||||||
\(594\) | −2.72077 | − | 0.729028i | −0.111635 | − | 0.0299124i | ||||
\(595\) | −2.95766 | + | 8.94972i | −0.121252 | + | 0.366903i | ||||
\(596\) | 16.9668 | + | 9.79578i | 0.694987 | + | 0.401251i | ||||
\(597\) | −38.8132 | − | 22.4088i | −1.58852 | − | 0.917131i | ||||
\(598\) | −2.85307 | −0.116671 | ||||||||
\(599\) | 26.6032 | + | 15.3593i | 1.08698 | + | 0.627566i | 0.932770 | − | 0.360473i | \(-0.117385\pi\) |
0.154206 | + | 0.988039i | \(0.450718\pi\) | |||||||
\(600\) | −12.1606 | − | 4.80856i | −0.496456 | − | 0.196309i | ||||
\(601\) | −17.0654 | − | 29.5582i | −0.696112 | − | 1.20570i | −0.969804 | − | 0.243885i | \(-0.921578\pi\) |
0.273692 | − | 0.961817i | \(-0.411755\pi\) | |||||||
\(602\) | −15.2633 | + | 15.2633i | −0.622085 | + | 0.622085i | ||||
\(603\) | 3.92964 | − | 3.92964i | 0.160027 | − | 0.160027i | ||||
\(604\) | 7.97563 | − | 4.60473i | 0.324524 | − | 0.187364i | ||||
\(605\) | 9.40479 | + | 18.6891i | 0.382359 | + | 0.759821i | ||||
\(606\) | −32.5301 | − | 32.5301i | −1.32145 | − | 1.32145i | ||||
\(607\) | 0.365862 | + | 0.633692i | 0.0148499 | + | 0.0257208i | 0.873355 | − | 0.487084i | \(-0.161940\pi\) |
−0.858505 | + | 0.512805i | \(0.828606\pi\) | |||||||
\(608\) | 0.764232 | − | 2.85215i | 0.0309937 | − | 0.115670i | ||||
\(609\) | −22.1422 | + | 82.6356i | −0.897245 | + | 3.34857i | ||||
\(610\) | 5.27348 | − | 15.9573i | 0.213517 | − | 0.646092i | ||||
\(611\) | 0.306912 | + | 1.14541i | 0.0124163 | + | 0.0463384i | ||||
\(612\) | −1.96731 | − | 3.40749i | −0.0795239 | − | 0.137739i | ||||
\(613\) | −24.7224 | − | 6.62436i | −0.998530 | − | 0.267555i | −0.277700 | − | 0.960668i | \(-0.589572\pi\) |
−0.720829 | + | 0.693113i | \(0.756239\pi\) | |||||||
\(614\) | 0.402416 | − | 1.50184i | 0.0162402 | − | 0.0606092i | ||||
\(615\) | −64.1836 | + | 13.3065i | −2.58813 | + | 0.536569i | ||||
\(616\) | 5.09431 | − | 1.36502i | 0.205256 | − | 0.0549981i | ||||
\(617\) | −5.97970 | + | 22.3165i | −0.240733 | + | 0.898430i | 0.734747 | + | 0.678342i | \(0.237301\pi\) |
−0.975480 | + | 0.220088i | \(0.929366\pi\) | |||||||
\(618\) | −21.6501 | − | 21.6501i | −0.870896 | − | 0.870896i | ||||
\(619\) | −5.92880 | −0.238299 | −0.119149 | − | 0.992876i | \(-0.538017\pi\) | ||||
−0.119149 | + | 0.992876i | \(0.538017\pi\) | |||||||
\(620\) | −1.39286 | − | 1.56262i | −0.0559384 | − | 0.0627562i | ||||
\(621\) | 14.0103 | + | 14.0103i | 0.562214 | + | 0.562214i | ||||
\(622\) | −24.6260 | + | 6.59852i | −0.987413 | + | 0.264576i | ||||
\(623\) | 4.51683i | 0.180963i | ||||||||
\(624\) | −0.214171 | − | 0.799296i | −0.00857369 | − | 0.0319975i | ||||
\(625\) | −7.24681 | − | 23.9266i | −0.289872 | − | 0.957065i | ||||
\(626\) | 2.48821 | − | 4.30971i | 0.0994490 | − | 0.172251i | ||||
\(627\) | 8.57350 | − | 4.94992i | 0.342393 | − | 0.197681i | ||||
\(628\) | −17.1471 | + | 17.1471i | −0.684243 | + | 0.684243i | ||||
\(629\) | 0.172157 | − | 6.23005i | 0.00686436 | − | 0.248409i | ||||
\(630\) | 34.5915 | − | 7.17146i | 1.37816 | − | 0.285718i | ||||
\(631\) | −5.52933 | + | 20.6357i | −0.220119 | + | 0.821496i | 0.764182 | + | 0.645000i | \(0.223143\pi\) |
−0.984301 | + | 0.176495i | \(0.943524\pi\) | |||||||
\(632\) | −4.64055 | + | 1.24343i | −0.184591 | + | 0.0494611i | ||||
\(633\) | 9.04960 | + | 33.7736i | 0.359690 | + | 1.34238i | ||||
\(634\) | −22.7963 | + | 6.10824i | −0.905356 | + | 0.242589i | ||||
\(635\) | 5.00751 | + | 24.1536i | 0.198717 | + | 0.958508i | ||||
\(636\) | 9.25477 | − | 16.0297i | 0.366976 | − | 0.635621i | ||||
\(637\) | − | 3.14051i | − | 0.124431i | ||||||
\(638\) | 2.63802 | − | 9.84523i | 0.104440 | − | 0.389776i | ||||
\(639\) | − | 27.7720i | − | 1.09864i | ||||||
\(640\) | −1.22724 | + | 1.86919i | −0.0485110 | + | 0.0738863i | ||||
\(641\) | 3.77010 | + | 6.53000i | 0.148910 | + | 0.257919i | 0.930825 | − | 0.365466i | \(-0.119090\pi\) |
−0.781915 | + | 0.623385i | \(0.785757\pi\) | |||||||
\(642\) | −19.1115 | − | 11.0340i | −0.754269 | − | 0.435477i | ||||
\(643\) | 13.3314i | 0.525738i | 0.964832 | + | 0.262869i | \(0.0846687\pi\) | ||||
−0.964832 | + | 0.262869i | \(0.915331\pi\) | |||||||
\(644\) | −35.8344 | − | 9.60179i | −1.41207 | − | 0.378363i | ||||
\(645\) | 22.9050 | − | 20.4166i | 0.901884 | − | 0.803904i | ||||
\(646\) | 2.92233 | + | 0.783037i | 0.114978 | + | 0.0308082i | ||||
\(647\) | −11.2347 | + | 19.4591i | −0.441682 | + | 0.765016i | −0.997814 | − | 0.0660780i | \(-0.978951\pi\) |
0.556132 | + | 0.831094i | \(0.312285\pi\) | |||||||
\(648\) | 2.88688 | − | 5.00023i | 0.113407 | − | 0.196427i | ||||
\(649\) | 10.8227 | + | 2.89992i | 0.424827 | + | 0.113832i | ||||
\(650\) | 0.942659 | − | 1.27046i | 0.0369741 | − | 0.0498314i | ||||
\(651\) | 9.72957 | + | 2.60703i | 0.381332 | + | 0.102178i | ||||
\(652\) | 11.9950i | 0.469762i | ||||||||
\(653\) | −11.0498 | − | 6.37961i | −0.432412 | − | 0.249653i | 0.267962 | − | 0.963430i | \(-0.413650\pi\) |
−0.700374 | + | 0.713776i | \(0.746983\pi\) | |||||||
\(654\) | 2.41311 | + | 4.17964i | 0.0943603 | + | 0.163437i | ||||
\(655\) | 43.0064 | − | 8.91605i | 1.68040 | − | 0.348379i | ||||
\(656\) | 11.2084i | 0.437616i | ||||||||
\(657\) | 10.6569 | − | 39.7720i | 0.415764 | − | 1.55165i | ||||
\(658\) | 15.4192i | 0.601103i | ||||||||
\(659\) | −21.1866 | + | 36.6963i | −0.825314 | + | 1.42949i | 0.0763650 | + | 0.997080i | \(0.475669\pi\) |
−0.901679 | + | 0.432406i | \(0.857665\pi\) | |||||||
\(660\) | −7.34083 | + | 1.52189i | −0.285741 | + | 0.0592396i | ||||
\(661\) | −5.22723 | + | 1.40063i | −0.203316 | + | 0.0544783i | −0.359040 | − | 0.933322i | \(-0.616896\pi\) |
0.155724 | + | 0.987801i | \(0.450229\pi\) | |||||||
\(662\) | 7.76288 | + | 28.9715i | 0.301713 | + | 1.12601i | ||||
\(663\) | 0.818963 | − | 0.219441i | 0.0318059 | − | 0.00852236i | ||||
\(664\) | 0.409176 | − | 1.52707i | 0.0158791 | − | 0.0592616i | ||||
\(665\) | −14.9085 | + | 22.7069i | −0.578128 | + | 0.880537i | ||||
\(666\) | −20.5441 | + | 11.1161i | −0.796067 | + | 0.430739i | ||||
\(667\) | −50.6969 | + | 50.6969i | −1.96299 | + | 1.96299i | ||||
\(668\) | 13.0807 | − | 7.55214i | 0.506107 | − | 0.292201i | ||||
\(669\) | −3.11673 | + | 5.39833i | −0.120500 | + | 0.208712i | ||||
\(670\) | 1.01540 | − | 3.07255i | 0.0392283 | − | 0.118703i | ||||
\(671\) | −2.49370 | − | 9.30661i | −0.0962682 | − | 0.359278i | ||||
\(672\) | − | 10.7599i | − | 0.415072i | ||||||
\(673\) | −26.6381 | + | 7.13765i | −1.02682 | + | 0.275136i | −0.732642 | − | 0.680614i | \(-0.761713\pi\) |
−0.294180 | + | 0.955750i | \(0.595046\pi\) | |||||||
\(674\) | −12.7752 | − | 12.7752i | −0.492083 | − | 0.492083i | ||||
\(675\) | −10.8678 | + | 1.60969i | −0.418300 | + | 0.0619568i | ||||
\(676\) | −12.8999 | −0.496150 | ||||||||
\(677\) | 27.1242 | + | 27.1242i | 1.04247 | + | 1.04247i | 0.999057 | + | 0.0434117i | \(0.0138227\pi\) |
0.0434117 | + | 0.999057i | \(0.486177\pi\) | |||||||
\(678\) | 10.2232 | − | 38.1535i | 0.392619 | − | 1.46528i | ||||
\(679\) | −44.5427 | + | 11.9352i | −1.70939 | + | 0.458030i | ||||
\(680\) | −1.91518 | − | 1.25744i | −0.0734440 | − | 0.0482206i | ||||
\(681\) | −10.9056 | + | 40.7001i | −0.417902 | + | 1.55963i | ||||
\(682\) | −1.15918 | − | 0.310602i | −0.0443874 | − | 0.0118936i | ||||
\(683\) | −7.20750 | − | 12.4838i | −0.275787 | − | 0.477678i | 0.694546 | − | 0.719448i | \(-0.255605\pi\) |
−0.970333 | + | 0.241771i | \(0.922272\pi\) | |||||||
\(684\) | −2.93476 | − | 10.9527i | −0.112213 | − | 0.418785i | ||||
\(685\) | −14.6286 | − | 4.83440i | −0.558931 | − | 0.184713i | ||||
\(686\) | 3.11548 | − | 11.6271i | 0.118950 | − | 0.443926i | ||||
\(687\) | 12.3606 | − | 46.1305i | 0.471588 | − | 1.75999i | ||||
\(688\) | −2.62336 | − | 4.54379i | −0.100015 | − | 0.173230i | ||||
\(689\) | 1.58336 | + | 1.58336i | 0.0603213 | + | 0.0603213i | ||||
\(690\) | 50.0715 | + | 16.5474i | 1.90619 | + | 0.629947i | ||||
\(691\) | 11.9196 | − | 6.88177i | 0.453442 | − | 0.261795i | −0.255841 | − | 0.966719i | \(-0.582352\pi\) |
0.709283 | + | 0.704924i | \(0.249019\pi\) | |||||||
\(692\) | −4.06718 | + | 4.06718i | −0.154611 | + | 0.154611i | ||||
\(693\) | 14.3210 | − | 14.3210i | 0.544010 | − | 0.544010i | ||||
\(694\) | 4.24474 | + | 7.35211i | 0.161128 | + | 0.279082i | ||||
\(695\) | −6.61819 | + | 10.0801i | −0.251042 | + | 0.382358i | ||||
\(696\) | −18.0086 | − | 10.3972i | −0.682612 | − | 0.394106i | ||||
\(697\) | −11.4842 | −0.434996 | ||||||||
\(698\) | 9.23117 | + | 5.32962i | 0.349405 | + | 0.201729i | ||||
\(699\) | −54.0316 | − | 31.1951i | −2.04366 | − | 1.17991i | ||||
\(700\) | 16.1154 | − | 12.7844i | 0.609104 | − | 0.483205i | ||||
\(701\) | 15.4790 | + | 4.14760i | 0.584635 | + | 0.156653i | 0.539000 | − | 0.842306i | \(-0.318802\pi\) |
0.0456352 | + | 0.998958i | \(0.485469\pi\) | |||||||
\(702\) | −0.491585 | − | 0.491585i | −0.0185537 | − | 0.0185537i | ||||
\(703\) | 5.12610 | − | 17.2139i | 0.193334 | − | 0.649236i | ||||
\(704\) | 1.28194i | 0.0483148i | ||||||||
\(705\) | 1.25689 | − | 21.8821i | 0.0473373 | − | 0.824127i | ||||
\(706\) | −20.5678 | − | 11.8748i | −0.774081 | − | 0.446916i | ||||
\(707\) | 69.9017 | − | 18.7301i | 2.62892 | − | 0.704418i | ||||
\(708\) | 11.4295 | − | 19.7964i | 0.429546 | − | 0.743996i | ||||
\(709\) | 11.2508 | + | 11.2508i | 0.422534 | + | 0.422534i | 0.886075 | − | 0.463541i | \(-0.153421\pi\) |
−0.463541 | + | 0.886075i | \(0.653421\pi\) | |||||||
\(710\) | −7.26925 | − | 14.4454i | −0.272810 | − | 0.542126i | ||||
\(711\) | −13.0454 | + | 13.0454i | −0.489241 | + | 0.489241i | ||||
\(712\) | −1.06048 | − | 0.284155i | −0.0397432 | − | 0.0106491i | ||||
\(713\) | 5.96908 | + | 5.96908i | 0.223544 | + | 0.223544i | ||||
\(714\) | 11.0246 | 0.412587 | ||||||||
\(715\) | 0.0520089 | − | 0.905456i | 0.00194502 | − | 0.0338621i | ||||
\(716\) | −4.51584 | − | 16.8534i | −0.168765 | − | 0.629840i | ||||
\(717\) | 8.59934 | 0.321148 | ||||||||
\(718\) | −6.24143 | + | 3.60349i | −0.232928 | + | 0.134481i | ||||
\(719\) | 35.4007 | − | 20.4386i | 1.32022 | − | 0.762231i | 0.336458 | − | 0.941698i | \(-0.390771\pi\) |
0.983764 | + | 0.179468i | \(0.0574375\pi\) | |||||||
\(720\) | −0.492409 | + | 8.57268i | −0.0183510 | + | 0.319485i | ||||
\(721\) | 46.5224 | − | 12.4656i | 1.73259 | − | 0.464245i | ||||
\(722\) | −8.90375 | − | 5.14058i | −0.331363 | − | 0.191313i | ||||
\(723\) | −1.00485 | + | 0.580150i | −0.0373708 | + | 0.0215760i | ||||
\(724\) | 3.76005 | + | 6.51260i | 0.139741 | + | 0.242039i | ||||
\(725\) | −5.82472 | − | 39.3254i | −0.216325 | − | 1.46051i | ||||
\(726\) | 17.3036 | − | 17.3036i | 0.642198 | − | 0.642198i | ||||
\(727\) | 12.4215 | − | 21.5146i | 0.460687 | − | 0.797933i | −0.538308 | − | 0.842748i | \(-0.680936\pi\) |
0.998995 | + | 0.0448149i | \(0.0142698\pi\) | |||||||
\(728\) | 1.25733 | + | 0.336902i | 0.0465999 | + | 0.0124864i | ||||
\(729\) | − | 39.4120i | − | 1.45970i | ||||||
\(730\) | −4.86713 | − | 23.4765i | −0.180141 | − | 0.868905i | ||||
\(731\) | 4.65559 | − | 2.68791i | 0.172193 | − | 0.0994159i | ||||
\(732\) | −19.6569 | −0.726538 | ||||||||
\(733\) | −5.39322 | − | 20.1278i | −0.199203 | − | 0.743436i | −0.991139 | − | 0.132831i | \(-0.957593\pi\) |
0.791936 | − | 0.610604i | \(-0.209073\pi\) | |||||||
\(734\) | 1.06506 | − | 1.06506i | 0.0393121 | − | 0.0393121i | ||||
\(735\) | −18.2145 | + | 55.1160i | −0.671851 | + | 2.03299i | ||||
\(736\) | 4.50869 | − | 7.80928i | 0.166193 | − | 0.287854i | ||||
\(737\) | −0.480157 | − | 1.79197i | −0.0176868 | − | 0.0660081i | ||||
\(738\) | 21.5210 | + | 37.2754i | 0.792198 | + | 1.37213i | ||||
\(739\) | −5.96184 | −0.219310 | −0.109655 | − | 0.993970i | \(-0.534975\pi\) | ||||
−0.109655 | + | 0.993970i | \(0.534975\pi\) | |||||||
\(740\) | −7.77624 | + | 11.1593i | −0.285860 | + | 0.410224i | ||||
\(741\) | 2.44339 | 0.0897602 | ||||||||
\(742\) | 14.5582 | + | 25.2156i | 0.534450 | + | 0.925694i | ||||
\(743\) | 4.38642 | + | 16.3703i | 0.160922 | + | 0.600569i | 0.998525 | + | 0.0542899i | \(0.0172895\pi\) |
−0.837603 | + | 0.546279i | \(0.816044\pi\) | |||||||
\(744\) | −1.22418 | + | 2.12034i | −0.0448805 | + | 0.0777353i | ||||
\(745\) | 39.1325 | − | 19.6924i | 1.43371 | − | 0.721473i | ||||
\(746\) | −9.25740 | + | 9.25740i | −0.338937 | + | 0.338937i | ||||
\(747\) | −1.57129 | − | 5.86414i | −0.0574905 | − | 0.214558i | ||||
\(748\) | −1.31348 | −0.0480255 | ||||||||
\(749\) | 30.0633 | − | 17.3571i | 1.09849 | − | 0.634213i | ||||
\(750\) | −23.9122 | + | 16.8293i | −0.873149 | + | 0.614519i | ||||
\(751\) | − | 0.463178i | − | 0.0169016i | −0.999964 | − | 0.00845080i | \(-0.997310\pi\) | ||
0.999964 | − | 0.00845080i | \(-0.00269001\pi\) | |||||||
\(752\) | −3.62018 | − | 0.970024i | −0.132014 | − | 0.0353731i | ||||
\(753\) | 29.0378 | − | 50.2949i | 1.05820 | − | 1.83285i | ||||
\(754\) | 1.77882 | − | 1.77882i | 0.0647809 | − | 0.0647809i | ||||
\(755\) | 1.18090 | − | 20.5591i | 0.0429775 | − | 0.748223i | ||||
\(756\) | −4.51989 | − | 7.82867i | −0.164387 | − | 0.284726i | ||||
\(757\) | 46.5341 | − | 26.8665i | 1.69131 | − | 0.976480i | 0.737851 | − | 0.674963i | \(-0.235841\pi\) |
0.953461 | − | 0.301516i | \(-0.0974928\pi\) | |||||||
\(758\) | 10.0980 | + | 5.83006i | 0.366774 | + | 0.211757i | ||||
\(759\) | 29.2027 | − | 7.82484i | 1.05999 | − | 0.284024i | ||||
\(760\) | −4.39332 | − | 4.92878i | −0.159363 | − | 0.178786i | ||||
\(761\) | −17.6933 | + | 10.2152i | −0.641380 | + | 0.370301i | −0.785146 | − | 0.619311i | \(-0.787412\pi\) |
0.143766 | + | 0.989612i | \(0.454079\pi\) | |||||||
\(762\) | 24.9861 | − | 14.4257i | 0.905152 | − | 0.522590i | ||||
\(763\) | −7.59191 | −0.274846 | ||||||||
\(764\) | −5.63496 | − | 21.0300i | −0.203866 | − | 0.760837i | ||||
\(765\) | −8.78361 | − | 0.504525i | −0.317572 | − | 0.0182412i | ||||
\(766\) | 18.9002 | 0.682893 | ||||||||
\(767\) | 1.95542 | + | 1.95542i | 0.0706062 | + | 0.0706062i | ||||
\(768\) | 2.52625 | + | 0.676906i | 0.0911582 | + | 0.0244258i | ||||
\(769\) | −13.9242 | + | 13.9242i | −0.502119 | + | 0.502119i | −0.912096 | − | 0.409977i | \(-0.865537\pi\) |
0.409977 | + | 0.912096i | \(0.365537\pi\) | |||||||
\(770\) | 3.70047 | − | 11.1974i | 0.133356 | − | 0.403528i | ||||
\(771\) | −31.0872 | − | 31.0872i | −1.11958 | − | 1.11958i | ||||
\(772\) | 5.75000 | − | 9.95928i | 0.206947 | − | 0.358442i | ||||
\(773\) | −42.8855 | + | 11.4911i | −1.54249 | + | 0.413308i | −0.927068 | − | 0.374893i | \(-0.877679\pi\) |
−0.615418 | + | 0.788201i | \(0.711013\pi\) | |||||||
\(774\) | −17.4488 | − | 10.0741i | −0.627183 | − | 0.362105i | ||||
\(775\) | −4.63020 | + | 0.685805i | −0.166322 | + | 0.0246349i | ||||
\(776\) | − | 11.2088i | − | 0.402371i | ||||||
\(777\) | 1.80791 | − | 65.4249i | 0.0648584 | − | 2.34710i | ||||
\(778\) | −20.1905 | − | 20.1905i | −0.723866 | − | 0.723866i | ||||
\(779\) | −31.9682 | − | 8.56585i | −1.14538 | − | 0.306904i | ||||
\(780\) | −1.75688 | − | 0.580604i | −0.0629063 | − | 0.0207889i | ||||
\(781\) | −8.02892 | − | 4.63550i | −0.287297 | − | 0.165871i | ||||
\(782\) | 8.00143 | + | 4.61963i | 0.286131 | + | 0.165198i | ||||
\(783\) | −17.4702 | −0.624334 | ||||||||
\(784\) | 8.59605 | + | 4.96293i | 0.307002 | + | 0.177248i | ||||
\(785\) | 11.0076 | + | 53.0948i | 0.392876 | + | 1.89503i | ||||
\(786\) | −25.6856 | − | 44.4887i | −0.916174 | − | 1.58686i | ||||
\(787\) | −25.0442 | + | 25.0442i | −0.892729 | + | 0.892729i | −0.994779 | − | 0.102050i | \(-0.967460\pi\) |
0.102050 | + | 0.994779i | \(0.467460\pi\) | |||||||
\(788\) | 5.17589 | − | 5.17589i | 0.184384 | − | 0.184384i | ||||
\(789\) | −13.1343 | + | 7.58309i | −0.467593 | + | 0.269965i | ||||
\(790\) | −3.37087 | + | 10.2001i | −0.119930 | + | 0.362902i | ||||
\(791\) | 43.9358 | + | 43.9358i | 1.56218 | + | 1.56218i | ||||
\(792\) | 2.46140 | + | 4.26328i | 0.0874622 | + | 0.151489i | ||||
\(793\) | 0.615473 | − | 2.29698i | 0.0218561 | − | 0.0815681i | ||||
\(794\) | −7.04123 | + | 26.2782i | −0.249884 | + | 0.932580i | ||||
\(795\) | −18.6048 | − | 36.9713i | −0.659844 | − | 1.31124i | ||||
\(796\) | 4.43519 | + | 16.5524i | 0.157201 | + | 0.586683i | ||||
\(797\) | 5.65142 | + | 9.78854i | 0.200183 | + | 0.346728i | 0.948587 | − | 0.316515i | \(-0.102513\pi\) |
−0.748404 | + | 0.663243i | \(0.769180\pi\) | |||||||
\(798\) | 30.6889 | + | 8.22306i | 1.08637 | + | 0.291093i | ||||
\(799\) | 0.993892 | − | 3.70926i | 0.0351614 | − | 0.131224i | ||||
\(800\) | 1.98775 | + | 4.58790i | 0.0702777 | + | 0.162207i | ||||
\(801\) | −4.07239 | + | 1.09119i | −0.143891 | + | 0.0385554i | ||||
\(802\) | 2.21404 | − | 8.26293i | 0.0781806 | − | 0.291774i | ||||
\(803\) | −9.71938 | − | 9.71938i | −0.342989 | − | 0.342989i | ||||
\(804\) | −3.78489 | −0.133483 | ||||||||
\(805\) | −61.9250 | + | 55.1976i | −2.18257 | + | 1.94546i | ||||
\(806\) | −0.209439 | − | 0.209439i | −0.00737719 | − | 0.00737719i | ||||
\(807\) | −52.1507 | + | 13.9737i | −1.83579 | + | 0.491899i | ||||
\(808\) | 17.5901i | 0.618818i | ||||||||
\(809\) | 2.84615 | + | 10.6220i | 0.100065 | + | 0.373449i | 0.997739 | − | 0.0672127i | \(-0.0214106\pi\) |
−0.897673 | + | 0.440661i | \(0.854744\pi\) | |||||||
\(810\) | −5.80348 | − | 11.5326i | −0.203913 | − | 0.405215i | ||||
\(811\) | −0.191372 | + | 0.331467i | −0.00671999 | + | 0.0116394i | −0.869366 | − | 0.494169i | \(-0.835472\pi\) |
0.862646 | + | 0.505808i | \(0.168806\pi\) | |||||||
\(812\) | 28.3284 | − | 16.3554i | 0.994132 | − | 0.573962i | ||||
\(813\) | 7.43048 | − | 7.43048i | 0.260598 | − | 0.260598i | ||||
\(814\) | −0.215395 | + | 7.79473i | −0.00754958 | + | 0.273205i | ||||
\(815\) | 22.4210 | + | 14.7208i | 0.785374 | + | 0.515648i | ||||
\(816\) | −0.693562 | + | 2.58841i | −0.0242795 | + | 0.0906124i | ||||
\(817\) | 14.9645 | − | 4.00971i | 0.523540 | − | 0.140282i | ||||
\(818\) | −5.27859 | − | 19.7000i | −0.184561 | − | 0.688793i | ||||
\(819\) | 4.82833 | − | 1.29375i | 0.168716 | − | 0.0452072i | ||||
\(820\) | 20.9507 | + | 13.7555i | 0.731631 | + | 0.480362i | ||||
\(821\) | −4.93247 | + | 8.54328i | −0.172144 | + | 0.298163i | −0.939169 | − | 0.343455i | \(-0.888403\pi\) |
0.767025 | + | 0.641617i | \(0.221736\pi\) | |||||||
\(822\) | 18.0202i | 0.628525i | ||||||||
\(823\) | −13.5677 | + | 50.6354i | −0.472941 | + | 1.76504i | 0.156175 | + | 0.987729i | \(0.450084\pi\) |
−0.629116 | + | 0.777311i | \(0.716583\pi\) | |||||||
\(824\) | 11.7069i | 0.407830i | ||||||||
\(825\) | −6.16427 | + | 15.5892i | −0.214612 | + | 0.542745i | ||||
\(826\) | 17.9792 | + | 31.1408i | 0.625575 | + | 1.08353i | ||||
\(827\) | 26.2708 | + | 15.1675i | 0.913527 | + | 0.527425i | 0.881564 | − | 0.472064i | \(-0.156491\pi\) |
0.0319627 | + | 0.999489i | \(0.489824\pi\) | |||||||
\(828\) | − | 34.6280i | − | 1.20341i | ||||||
\(829\) | −10.4459 | − | 2.79898i | −0.362802 | − | 0.0972125i | 0.0728130 | − | 0.997346i | \(-0.476802\pi\) |
−0.435615 | + | 0.900133i | \(0.643469\pi\) | |||||||
\(830\) | −2.35222 | − | 2.63891i | −0.0816467 | − | 0.0915978i | ||||
\(831\) | 48.7225 | + | 13.0552i | 1.69017 | + | 0.452878i | ||||
\(832\) | −0.158198 | + | 0.274007i | −0.00548454 | + | 0.00949949i | ||||
\(833\) | −5.08505 | + | 8.80756i | −0.176186 | + | 0.305164i | ||||
\(834\) | 13.6234 | + | 3.65038i | 0.471739 | + | 0.126402i | ||||
\(835\) | 1.93678 | − | 33.7186i | 0.0670249 | − | 1.16688i | ||||
\(836\) | −3.65628 | − | 0.979697i | −0.126455 | − | 0.0338835i | ||||
\(837\) | 2.05695i | 0.0710986i | ||||||||
\(838\) | −11.5211 | − | 6.65171i | −0.397990 | − | 0.229780i | ||||
\(839\) | −11.6320 | − | 20.1471i | −0.401580 | − | 0.695556i | 0.592337 | − | 0.805690i | \(-0.298205\pi\) |
−0.993917 | + | 0.110134i | \(0.964872\pi\) | |||||||
\(840\) | −20.1123 | − | 13.2050i | −0.693940 | − | 0.455615i | ||||
\(841\) | − | 34.2167i | − | 1.17989i | ||||||
\(842\) | 6.04882 | − | 22.5745i | 0.208456 | − | 0.777969i | ||||
\(843\) | 48.5407i | 1.67183i | ||||||||
\(844\) | 6.68453 | − | 11.5779i | 0.230091 | − | 0.398529i | ||||
\(845\) | −15.8313 | + | 24.1124i | −0.544613 | + | 0.829491i | ||||
\(846\) | −13.9020 | + | 3.72502i | −0.477960 | + | 0.128069i | ||||
\(847\) | 9.96303 | + | 37.1826i | 0.342334 | + | 1.27761i | ||||
\(848\) | −6.83608 | + | 1.83172i | −0.234752 | + | 0.0629016i | ||||
\(849\) | −16.3116 | + | 60.8756i | −0.559812 | + | 2.08925i | ||||
\(850\) | −4.70079 | + | 2.03666i | −0.161236 | + | 0.0698570i | ||||
\(851\) | 28.7270 | − | 46.7263i | 0.984748 | − | 1.60176i | ||||
\(852\) | −13.3745 | + | 13.3745i | −0.458203 | + | 0.458203i | ||||
\(853\) | 20.6963 | − | 11.9490i | 0.708627 | − | 0.409126i | −0.101925 | − | 0.994792i | \(-0.532500\pi\) |
0.810553 | + | 0.585666i | \(0.199167\pi\) | |||||||
\(854\) | 15.4606 | − | 26.7786i | 0.529052 | − | 0.916344i | ||||
\(855\) | −24.0743 | − | 7.95594i | −0.823323 | − | 0.272088i | ||||
\(856\) | 2.18387 | + | 8.15032i | 0.0746432 | + | 0.278572i | ||||
\(857\) | − | 11.1858i | − | 0.382099i | −0.981580 | − | 0.191049i | \(-0.938811\pi\) | ||
0.981580 | − | 0.191049i | \(-0.0611890\pi\) | |||||||
\(858\) | −1.02465 | + | 0.274553i | −0.0349808 | + | 0.00937309i | ||||
\(859\) | −22.0114 | − | 22.0114i | −0.751018 | − | 0.751018i | 0.223651 | − | 0.974669i | \(-0.428202\pi\) |
−0.974669 | + | 0.223651i | \(0.928202\pi\) | |||||||
\(860\) | −11.7127 | − | 0.672771i | −0.399400 | − | 0.0229413i | ||||
\(861\) | −120.602 | −4.11009 | ||||||||
\(862\) | −4.95834 | − | 4.95834i | −0.168882 | − | 0.168882i | ||||
\(863\) | 3.78060 | − | 14.1094i | 0.128693 | − | 0.480289i | −0.871251 | − | 0.490837i | \(-0.836691\pi\) |
0.999944 | + | 0.0105483i | \(0.00335769\pi\) | |||||||
\(864\) | 2.12239 | − | 0.568694i | 0.0722053 | − | 0.0193473i | ||||
\(865\) | 2.61092 | + | 12.5938i | 0.0887741 | + | 0.428200i | ||||
\(866\) | −1.26765 | + | 4.73094i | −0.0430765 | + | 0.160764i | ||||
\(867\) | 40.2941 | + | 10.7968i | 1.36846 | + | 0.366678i | ||||
\(868\) | −1.92569 | − | 3.33540i | −0.0653623 | − | 0.113211i | ||||
\(869\) | 1.59400 | + | 5.94889i | 0.0540728 | + | 0.201802i | ||||
\(870\) | −41.5353 | + | 20.9015i | −1.40818 | + | 0.708627i | ||||
\(871\) | 0.118508 | − | 0.442279i | 0.00401550 | − | 0.0149861i | ||||
\(872\) | 0.477608 | − | 1.78246i | 0.0161739 | − | 0.0603617i | ||||
\(873\) | −21.5216 | − | 37.2765i | −0.728395 | − | 1.26162i | ||||
\(874\) | 18.8276 | + | 18.8276i | 0.636853 | + | 0.636853i | ||||
\(875\) | −4.11905 | − | 45.8123i | −0.139249 | − | 1.54874i | ||||
\(876\) | −24.2857 | + | 14.0213i | −0.820537 | + | 0.473737i | ||||
\(877\) | 15.8644 | − | 15.8644i | 0.535702 | − | 0.535702i | −0.386562 | − | 0.922264i | \(-0.626337\pi\) |
0.922264 | + | 0.386562i | \(0.126337\pi\) | |||||||
\(878\) | −10.7482 | + | 10.7482i | −0.362735 | + | 0.362735i | ||||
\(879\) | −11.3341 | − | 19.6313i | −0.382291 | − | 0.662148i | ||||
\(880\) | 2.39618 | + | 1.57325i | 0.0807753 | + | 0.0530341i | ||||
\(881\) | 8.88328 | + | 5.12876i | 0.299285 | + | 0.172792i | 0.642122 | − | 0.766603i | \(-0.278054\pi\) |
−0.342836 | + | 0.939395i | \(0.611388\pi\) | |||||||
\(882\) | 38.1167 | 1.28345 | ||||||||
\(883\) | −36.4835 | − | 21.0638i | −1.22777 | − | 0.708853i | −0.261206 | − | 0.965283i | \(-0.584120\pi\) |
−0.966563 | + | 0.256430i | \(0.917454\pi\) | |||||||
\(884\) | −0.280749 | − | 0.162091i | −0.00944263 | − | 0.00545170i | ||||
\(885\) | −22.9766 | − | 45.6589i | −0.772350 | − | 1.53481i | ||||
\(886\) | 0.933300 | + | 0.250077i | 0.0313548 | + | 0.00840150i | ||||
\(887\) | −24.3907 | − | 24.3907i | −0.818960 | − | 0.818960i | 0.166997 | − | 0.985957i | \(-0.446593\pi\) |
−0.985957 | + | 0.166997i | \(0.946593\pi\) | |||||||
\(888\) | 15.2470 | + | 4.54036i | 0.511655 | + | 0.152364i | ||||
\(889\) | 45.3849i | 1.52216i | ||||||||
\(890\) | −1.83260 | + | 1.63351i | −0.0614290 | + | 0.0547555i | ||||
\(891\) | −6.40997 | − | 3.70080i | −0.214742 | − | 0.123981i | ||||
\(892\) | 2.30219 | − | 0.616869i | 0.0770829 | − | 0.0206543i | ||||
\(893\) | 5.53332 | − | 9.58399i | 0.185165 | − | 0.320716i | ||||
\(894\) | −36.2315 | − | 36.2315i | −1.21176 | − | 1.21176i | ||||
\(895\) | −37.0442 | − | 12.2422i | −1.23825 | − | 0.409211i | ||||
\(896\) | −2.90911 | + | 2.90911i | −0.0971866 | + | 0.0971866i | ||||
\(897\) | 7.20756 | + | 1.93126i | 0.240653 | + | 0.0644829i | ||||
\(898\) | −16.3546 | − | 16.3546i | −0.545759 | − | 0.545759i | ||||
\(899\) | −7.44317 | −0.248244 | ||||||||
\(900\) | 15.4197 | + | 11.4412i | 0.513989 | + | 0.381372i | ||||
\(901\) | −1.87679 | − | 7.00429i | −0.0625251 | − | 0.233347i | ||||
\(902\) | 14.3685 | 0.478419 | ||||||||
\(903\) | 48.8907 | − | 28.2271i | 1.62698 | − | 0.939338i | ||||
\(904\) | −13.0794 | + | 7.55141i | −0.435015 | + | 0.251156i | ||||
\(905\) | 16.7878 | + | 0.964281i | 0.558045 | + | 0.0320538i | ||||
\(906\) | −23.2654 | + | 6.23395i | −0.772941 | + | 0.207109i | ||||
\(907\) | 17.9673 | + | 10.3734i | 0.596594 | + | 0.344443i | 0.767700 | − | 0.640809i | \(-0.221401\pi\) |
−0.171107 | + | 0.985252i | \(0.554734\pi\) | |||||||
\(908\) | 13.9524 | − | 8.05545i | 0.463028 | − | 0.267330i | ||||
\(909\) | 33.7742 | + | 58.4986i | 1.12022 | + | 1.94028i | ||||
\(910\) | 2.17279 | − | 1.93674i | 0.0720272 | − | 0.0642023i | ||||
\(911\) | 35.2946 | − | 35.2946i | 1.16936 | − | 1.16936i | 0.187001 | − | 0.982360i | \(-0.440123\pi\) |
0.982360 | − | 0.187001i | \(-0.0598768\pi\) | |||||||
\(912\) | −3.86128 | + | 6.68794i | −0.127860 | + | 0.221460i | ||||
\(913\) | −1.95760 | − | 0.524537i | −0.0647871 | − | 0.0173596i | ||||
\(914\) | − | 0.455088i | − | 0.0150530i | ||||||
\(915\) | −24.1237 | + | 36.7424i | −0.797505 | + | 1.21467i | ||||
\(916\) | −15.8140 | + | 9.13024i | −0.522510 | + | 0.301672i | ||||
\(917\) | 80.8094 | 2.66856 | ||||||||
\(918\) | 0.582687 | + | 2.17462i | 0.0192315 | + | 0.0717730i | ||||
\(919\) | 9.68968 | − | 9.68968i | 0.319633 | − | 0.319633i | −0.528993 | − | 0.848626i | \(-0.677430\pi\) |
0.848626 | + | 0.528993i | \(0.177430\pi\) | |||||||
\(920\) | −9.06379 | − | 18.0115i | −0.298824 | − | 0.593821i | ||||
\(921\) | −2.03321 | + | 3.52162i | −0.0669965 | + | 0.116041i | ||||
\(922\) | 0.472769 | + | 1.76440i | 0.0155698 | + | 0.0581074i | ||||
\(923\) | −1.14409 | − | 1.98163i | −0.0376583 | − | 0.0652261i | ||||
\(924\) | −13.7935 | −0.453772 | ||||||||
\(925\) | 11.3155 | + | 28.2305i | 0.372053 | + | 0.928212i | ||||
\(926\) | −19.7169 | −0.647939 | ||||||||
\(927\) | 22.4781 | + | 38.9332i | 0.738278 | + | 1.27874i | ||||
\(928\) | 2.05784 | + | 7.67997i | 0.0675520 | + | 0.252107i | ||||
\(929\) | −19.7848 | + | 34.2682i | −0.649118 | + | 1.12430i | 0.334216 | + | 0.942496i | \(0.391528\pi\) |
−0.983334 | + | 0.181808i | \(0.941805\pi\) | |||||||
\(930\) | 2.46095 | + | 4.89039i | 0.0806979 | + | 0.160362i | ||||
\(931\) | −20.7244 | + | 20.7244i | −0.679216 | + | 0.679216i | ||||
\(932\) | 6.17420 | + | 23.0424i | 0.202243 | + | 0.754780i | ||||
\(933\) | 66.6780 | 2.18294 | ||||||||
\(934\) | 4.70697 | − | 2.71757i | 0.154017 | − | 0.0889215i | ||||
\(935\) | −1.61196 | + | 2.45514i | −0.0527166 | + | 0.0802917i | ||||
\(936\) | 1.21501i | 0.0397137i | ||||||||
\(937\) | 1.46988 | + | 0.393853i | 0.0480188 | + | 0.0128666i | 0.282749 | − | 0.959194i | \(-0.408754\pi\) |
−0.234730 | + | 0.972061i | \(0.575420\pi\) | |||||||
\(938\) | 2.97691 | − | 5.15617i | 0.0971997 | − | 0.168355i | ||||
\(939\) | −9.20312 | + | 9.20312i | −0.300333 | + | 0.300333i | ||||
\(940\) | −6.25600 | + | 5.57635i | −0.204048 | + | 0.181881i | ||||
\(941\) | −26.0398 | − | 45.1023i | −0.848875 | − | 1.47029i | −0.882213 | − | 0.470850i | \(-0.843947\pi\) |
0.0333387 | − | 0.999444i | \(-0.489386\pi\) | |||||||
\(942\) | 54.9247 | − | 31.7108i | 1.78954 | − | 1.03319i | ||||
\(943\) | −87.5299 | − | 50.5354i | −2.85037 | − | 1.64566i | ||||
\(944\) | −8.44244 | + | 2.26214i | −0.274778 | + | 0.0736265i | ||||
\(945\) | −20.1803 | − | 1.15914i | −0.656465 | − | 0.0377069i | ||||
\(946\) | −5.82485 | + | 3.36298i | −0.189382 | + | 0.109340i | ||||
\(947\) | −9.43882 | + | 5.44950i | −0.306720 | + | 0.177085i | −0.645458 | − | 0.763796i | \(-0.723333\pi\) |
0.338738 | + | 0.940881i | \(0.390000\pi\) | |||||||
\(948\) | 12.5649 | 0.408088 | ||||||||
\(949\) | −0.878041 | − | 3.27689i | −0.0285024 | − | 0.106373i | ||||
\(950\) | −14.6045 | + | 2.16316i | −0.473833 | + | 0.0701821i | ||||
\(951\) | 61.7238 | 2.00153 | ||||||||
\(952\) | −2.98069 | − | 2.98069i | −0.0966048 | − | 0.0966048i | ||||
\(953\) | 5.27508 | + | 1.41345i | 0.170877 | + | 0.0457862i | 0.343243 | − | 0.939247i | \(-0.388475\pi\) |
−0.172366 | + | 0.985033i | \(0.555141\pi\) | |||||||
\(954\) | −19.2174 | + | 19.2174i | −0.622187 | + | 0.622187i | ||||
\(955\) | −46.2245 | − | 15.2760i | −1.49579 | − | 0.494321i | ||||
\(956\) | −2.32497 | − | 2.32497i | −0.0751949 | − | 0.0751949i | ||||
\(957\) | −13.3286 | + | 23.0858i | −0.430852 | + | 0.746258i | ||||
\(958\) | 6.55198 | − | 1.75560i | 0.211685 | − | 0.0567208i | ||||
\(959\) | −24.5489 | − | 14.1733i | −0.792726 | − | 0.457681i | ||||
\(960\) | 4.36559 | − | 3.89132i | 0.140899 | − | 0.125592i | ||||
\(961\) | − | 30.1236i | − | 0.971730i | ||||||
\(962\) | −1.00795 | + | 1.63950i | −0.0324978 | + | 0.0528597i | ||||
\(963\) | 22.9120 | + | 22.9120i | 0.738328 | + | 0.738328i | ||||
\(964\) | 0.428531 | + | 0.114824i | 0.0138020 | + | 0.00369825i | ||||
\(965\) | −11.5592 | − | 22.9703i | −0.372103 | − | 0.739440i | ||||
\(966\) | 84.0270 | + | 48.5130i | 2.70352 | + | 1.56088i | ||||
\(967\) | 8.96135 | + | 5.17384i | 0.288178 | + | 0.166379i | 0.637120 | − | 0.770765i | \(-0.280126\pi\) |
−0.348942 | + | 0.937144i | \(0.613459\pi\) | |||||||
\(968\) | −9.35664 | −0.300734 | ||||||||
\(969\) | −6.85250 | − | 3.95629i | −0.220134 | − | 0.127094i | ||||
\(970\) | −20.9513 | − | 13.7559i | −0.672706 | − | 0.441674i | ||||
\(971\) | 18.4005 | + | 31.8706i | 0.590499 | + | 1.02277i | 0.994165 | + | 0.107868i | \(0.0344025\pi\) |
−0.403666 | + | 0.914907i | \(0.632264\pi\) | |||||||
\(972\) | −15.3388 | + | 15.3388i | −0.491991 | + | 0.491991i | ||||
\(973\) | −15.6881 | + | 15.6881i | −0.502936 | + | 0.502936i | ||||
\(974\) | −5.73878 | + | 3.31328i | −0.183882 | + | 0.106164i | ||||
\(975\) | −3.24137 | + | 2.57140i | −0.103807 | + | 0.0823506i | ||||
\(976\) | 5.31455 | + | 5.31455i | 0.170115 | + | 0.170115i | ||||
\(977\) | 12.0811 | + | 20.9252i | 0.386510 | + | 0.669455i | 0.991977 | − | 0.126415i | \(-0.0403471\pi\) |
−0.605467 | + | 0.795870i | \(0.707014\pi\) | |||||||
\(978\) | 8.11952 | − | 30.3025i | 0.259634 | − | 0.968966i | ||||
\(979\) | −0.364268 | + | 1.35947i | −0.0116421 | + | 0.0434487i | ||||
\(980\) | 19.8261 | − | 9.97694i | 0.633322 | − | 0.318702i | ||||
\(981\) | −1.83408 | − | 6.84488i | −0.0585577 | − | 0.218540i | ||||
\(982\) | 16.8203 | + | 29.1335i | 0.536756 | + | 0.929689i | ||||
\(983\) | 30.9091 | + | 8.28207i | 0.985848 | + | 0.264157i | 0.715505 | − | 0.698607i | \(-0.246196\pi\) |
0.270342 | + | 0.962764i | \(0.412863\pi\) | |||||||
\(984\) | 7.58707 | − | 28.3153i | 0.241867 | − | 0.902659i | ||||
\(985\) | −3.32266 | − | 16.0268i | −0.105869 | − | 0.510657i | ||||
\(986\) | −7.86894 | + | 2.10848i | −0.250598 | + | 0.0671476i | ||||
\(987\) | 10.4374 | − | 38.9527i | 0.332225 | − | 1.23988i | ||||
\(988\) | −0.660611 | − | 0.660611i | −0.0210168 | − | 0.0210168i | ||||
\(989\) | 47.3117 | 1.50442 | ||||||||
\(990\) | 10.9896 | + | 0.631237i | 0.349273 | + | 0.0200620i | ||||
\(991\) | −8.81333 | − | 8.81333i | −0.279965 | − | 0.279965i | 0.553130 | − | 0.833095i | \(-0.313433\pi\) |
−0.833095 | + | 0.553130i | \(0.813433\pi\) | |||||||
\(992\) | 0.904244 | − | 0.242292i | 0.0287098 | − | 0.00769276i | ||||
\(993\) | − | 78.4439i | − | 2.48934i | ||||||
\(994\) | −7.70073 | − | 28.7395i | −0.244252 | − | 0.911562i | ||||
\(995\) | 36.3826 | + | 12.0235i | 1.15341 | + | 0.381172i | ||||
\(996\) | −2.06736 | + | 3.58077i | −0.0655068 | + | 0.113461i | ||||
\(997\) | 49.4638 | − | 28.5580i | 1.56654 | − | 0.904440i | 0.569967 | − | 0.821667i | \(-0.306956\pi\) |
0.996568 | − | 0.0827723i | \(-0.0263774\pi\) | |||||||
\(998\) | 10.5271 | − | 10.5271i | 0.333230 | − | 0.333230i | ||||
\(999\) | 13.0006 | − | 3.10130i | 0.411322 | − | 0.0981207i |
(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 | 370.2.q.f.103.2 | yes | 32 | |
5.2 | odd | 4 | 370.2.r.f.177.2 | yes | 32 | ||
37.23 | odd | 12 | 370.2.r.f.23.2 | yes | 32 | ||
185.97 | even | 12 | inner | 370.2.q.f.97.2 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.2 | ✓ | 32 | 185.97 | even | 12 | inner | |
370.2.q.f.103.2 | yes | 32 | 1.1 | even | 1 | trivial | |
370.2.r.f.23.2 | yes | 32 | 37.23 | odd | 12 | ||
370.2.r.f.177.2 | yes | 32 | 5.2 | odd | 4 |