Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(11,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bb (of order \(22\), degree \(10\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 251.2 | ||
Character | \(\chi\) | \(=\) | 920.251 |
Dual form | 920.2.bb.a.11.2 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41405 | + | 0.0214454i | −0.999885 | + | 0.0151642i | ||||
\(3\) | −0.417492 | − | 2.90372i | −0.241039 | − | 1.67647i | −0.646934 | − | 0.762546i | \(-0.723949\pi\) |
0.405895 | − | 0.913920i | \(-0.366960\pi\) | |||||||
\(4\) | 1.99908 | − | 0.0606497i | 0.999540 | − | 0.0303249i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | 0.652627 | + | 4.09706i | 0.266434 | + | 1.67262i | ||||
\(7\) | 2.59694 | − | 2.99703i | 0.981550 | − | 1.13277i | −0.00959057 | − | 0.999954i | \(-0.503053\pi\) |
0.991141 | − | 0.132815i | \(-0.0424017\pi\) | |||||||
\(8\) | −2.82550 | + | 0.128633i | −0.998965 | + | 0.0454786i | ||||
\(9\) | −5.37883 | + | 1.57937i | −1.79294 | + | 0.526456i | ||||
\(10\) | 1.36281 | + | 0.377808i | 0.430960 | + | 0.119473i | ||||
\(11\) | 1.45984 | + | 2.27156i | 0.440159 | + | 0.684901i | 0.988477 | − | 0.151369i | \(-0.0483682\pi\) |
−0.548318 | + | 0.836270i | \(0.684732\pi\) | |||||||
\(12\) | −1.01071 | − | 5.77946i | −0.291767 | − | 1.66839i | ||||
\(13\) | 1.80368 | − | 1.56290i | 0.500251 | − | 0.433470i | −0.367830 | − | 0.929893i | \(-0.619899\pi\) |
0.868081 | + | 0.496423i | \(0.165354\pi\) | |||||||
\(14\) | −3.60793 | + | 4.29364i | −0.964260 | + | 1.14752i | ||||
\(15\) | −0.417492 | + | 2.90372i | −0.107796 | + | 0.749738i | ||||
\(16\) | 3.99264 | − | 0.242487i | 0.998161 | − | 0.0606218i | ||||
\(17\) | −6.50839 | − | 2.97228i | −1.57852 | − | 0.720884i | −0.582737 | − | 0.812661i | \(-0.698018\pi\) |
−0.995780 | + | 0.0917766i | \(0.970745\pi\) | |||||||
\(18\) | 7.57208 | − | 2.34866i | 1.78476 | − | 0.553584i | ||||
\(19\) | 4.78524 | − | 2.18535i | 1.09781 | − | 0.501353i | 0.217648 | − | 0.976027i | \(-0.430161\pi\) |
0.880162 | + | 0.474674i | \(0.157434\pi\) | |||||||
\(20\) | −1.93519 | − | 0.505013i | −0.432722 | − | 0.112924i | ||||
\(21\) | −9.78674 | − | 6.28955i | −2.13564 | − | 1.37249i | ||||
\(22\) | −2.11301 | − | 3.18079i | −0.450494 | − | 0.678147i | ||||
\(23\) | −2.91434 | − | 3.80876i | −0.607682 | − | 0.794181i | ||||
\(24\) | 1.55314 | + | 8.15077i | 0.317033 | + | 1.66377i | ||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −2.51698 | + | 2.24870i | −0.493620 | + | 0.441006i | ||||
\(27\) | 3.17571 | + | 6.95383i | 0.611165 | + | 1.33827i | ||||
\(28\) | 5.00972 | − | 6.14880i | 0.946748 | − | 1.16201i | ||||
\(29\) | −3.38405 | − | 1.54544i | −0.628402 | − | 0.286982i | 0.0756452 | − | 0.997135i | \(-0.475898\pi\) |
−0.704047 | + | 0.710153i | \(0.748626\pi\) | |||||||
\(30\) | 0.528084 | − | 4.11497i | 0.0964145 | − | 0.751287i | ||||
\(31\) | −8.17242 | − | 1.17502i | −1.46781 | − | 0.211039i | −0.638411 | − | 0.769696i | \(-0.720408\pi\) |
−0.829399 | + | 0.558656i | \(0.811317\pi\) | |||||||
\(32\) | −5.64060 | + | 0.428513i | −0.997127 | + | 0.0757511i | ||||
\(33\) | 5.98650 | − | 5.18734i | 1.04212 | − | 0.902999i | ||||
\(34\) | 9.26694 | + | 4.06338i | 1.58927 | + | 0.696865i | ||||
\(35\) | −3.33610 | + | 2.14398i | −0.563904 | + | 0.362399i | ||||
\(36\) | −10.6569 | + | 3.48351i | −1.77616 | + | 0.580585i | ||||
\(37\) | −2.31872 | + | 0.680838i | −0.381195 | + | 0.111929i | −0.466716 | − | 0.884407i | \(-0.654563\pi\) |
0.0855203 | + | 0.996336i | \(0.472745\pi\) | |||||||
\(38\) | −6.71971 | + | 3.19281i | −1.09008 | + | 0.517943i | ||||
\(39\) | −5.29125 | − | 4.58489i | −0.847278 | − | 0.734170i | ||||
\(40\) | 2.74729 | + | 0.672613i | 0.434384 | + | 0.106349i | ||||
\(41\) | 7.76984 | + | 2.28143i | 1.21344 | + | 0.356299i | 0.824979 | − | 0.565164i | \(-0.191187\pi\) |
0.388466 | + | 0.921463i | \(0.373005\pi\) | |||||||
\(42\) | 13.9738 | + | 8.68387i | 2.15621 | + | 1.33995i | ||||
\(43\) | 4.51454 | − | 0.649093i | 0.688461 | − | 0.0989858i | 0.210799 | − | 0.977529i | \(-0.432393\pi\) |
0.477662 | + | 0.878544i | \(0.341484\pi\) | |||||||
\(44\) | 3.05611 | + | 4.45249i | 0.460726 | + | 0.671238i | ||||
\(45\) | 5.60591 | 0.835680 | ||||||||
\(46\) | 4.20270 | + | 5.32328i | 0.619655 | + | 0.784874i | ||||
\(47\) | 2.82882i | 0.412625i | 0.978486 | + | 0.206313i | \(0.0661464\pi\) | ||||
−0.978486 | + | 0.206313i | \(0.933854\pi\) | |||||||
\(48\) | −2.37101 | − | 11.4923i | −0.342226 | − | 1.65877i | ||||
\(49\) | −1.24187 | − | 8.63743i | −0.177411 | − | 1.23392i | ||||
\(50\) | −1.20117 | − | 0.746453i | −0.169871 | − | 0.105564i | ||||
\(51\) | −5.91348 | + | 20.1395i | −0.828053 | + | 2.82009i | ||||
\(52\) | 3.51091 | − | 3.23375i | 0.486876 | − | 0.448441i | ||||
\(53\) | 6.73907 | − | 7.77731i | 0.925683 | − | 1.06830i | −0.0718021 | − | 0.997419i | \(-0.522875\pi\) |
0.997485 | − | 0.0708763i | \(-0.0225796\pi\) | |||||||
\(54\) | −4.63974 | − | 9.76497i | −0.631389 | − | 1.32884i | ||||
\(55\) | −0.760736 | − | 2.59083i | −0.102578 | − | 0.349347i | ||||
\(56\) | −6.95213 | + | 8.80215i | −0.929018 | + | 1.17624i | ||||
\(57\) | −8.34345 | − | 12.9827i | −1.10512 | − | 1.71960i | ||||
\(58\) | 4.81836 | + | 2.11276i | 0.632681 | + | 0.277419i | ||||
\(59\) | 0.524253 | + | 0.605020i | 0.0682519 | + | 0.0787669i | 0.788849 | − | 0.614587i | \(-0.210678\pi\) |
−0.720597 | + | 0.693354i | \(0.756132\pi\) | |||||||
\(60\) | −0.658491 | + | 5.83010i | −0.0850108 | + | 0.752662i | ||||
\(61\) | −0.543398 | + | 3.77942i | −0.0695750 | + | 0.483905i | 0.925007 | + | 0.379950i | \(0.124059\pi\) |
−0.994582 | + | 0.103955i | \(0.966850\pi\) | |||||||
\(62\) | 11.5814 | + | 1.48627i | 1.47084 | + | 0.188757i | ||||
\(63\) | −9.23509 | + | 20.2220i | −1.16351 | + | 2.54774i | ||||
\(64\) | 7.96691 | − | 0.726904i | 0.995863 | − | 0.0908630i | ||||
\(65\) | −2.17094 | + | 0.991434i | −0.269272 | + | 0.122972i | ||||
\(66\) | −8.35398 | + | 7.46354i | −1.02830 | + | 0.918698i | ||||
\(67\) | −8.78544 | + | 13.6704i | −1.07331 | + | 1.67011i | −0.434705 | + | 0.900573i | \(0.643148\pi\) |
−0.638607 | + | 0.769533i | \(0.720489\pi\) | |||||||
\(68\) | −13.1911 | − | 5.54710i | −1.59965 | − | 0.672685i | ||||
\(69\) | −9.84286 | + | 10.0526i | −1.18494 | + | 1.21019i | ||||
\(70\) | 4.67144 | − | 3.10325i | 0.558344 | − | 0.370909i | ||||
\(71\) | 5.47514 | − | 8.51948i | 0.649779 | − | 1.01108i | −0.347523 | − | 0.937671i | \(-0.612977\pi\) |
0.997302 | − | 0.0734047i | \(-0.0233865\pi\) | |||||||
\(72\) | 14.9947 | − | 5.15440i | 1.76715 | − | 0.607452i | ||||
\(73\) | 1.80492 | + | 3.95221i | 0.211249 | + | 0.462572i | 0.985362 | − | 0.170477i | \(-0.0545308\pi\) |
−0.774112 | + | 0.633048i | \(0.781803\pi\) | |||||||
\(74\) | 3.26419 | − | 1.01247i | 0.379454 | − | 0.117697i | ||||
\(75\) | 1.21865 | − | 2.66848i | 0.140718 | − | 0.308130i | ||||
\(76\) | 9.43354 | − | 4.65891i | 1.08210 | − | 0.534413i | ||||
\(77\) | 10.5990 | + | 1.52391i | 1.20787 | + | 0.173666i | ||||
\(78\) | 7.58042 | + | 6.36980i | 0.858313 | + | 0.721238i | ||||
\(79\) | −5.70803 | − | 6.58742i | −0.642204 | − | 0.741143i | 0.337559 | − | 0.941304i | \(-0.390399\pi\) |
−0.979763 | + | 0.200161i | \(0.935853\pi\) | |||||||
\(80\) | −3.89923 | − | 0.892193i | −0.435947 | − | 0.0997502i | ||||
\(81\) | 4.71819 | − | 3.03220i | 0.524243 | − | 0.336911i | ||||
\(82\) | −11.0359 | − | 3.05943i | −1.21871 | − | 0.337858i | ||||
\(83\) | 3.96423 | + | 13.5009i | 0.435131 | + | 1.48192i | 0.827160 | + | 0.561967i | \(0.189955\pi\) |
−0.392029 | + | 0.919953i | \(0.628227\pi\) | |||||||
\(84\) | −19.9459 | − | 11.9798i | −2.17628 | − | 1.30710i | ||||
\(85\) | 5.40737 | + | 4.68551i | 0.586511 | + | 0.508215i | ||||
\(86\) | −6.36987 | + | 1.01467i | −0.686881 | + | 0.109414i | ||||
\(87\) | −3.07472 | + | 10.4716i | −0.329645 | + | 1.12267i | ||||
\(88\) | −4.41698 | − | 6.23051i | −0.470852 | − | 0.664174i | ||||
\(89\) | −17.0823 | + | 2.45607i | −1.81072 | + | 0.260343i | −0.962885 | − | 0.269913i | \(-0.913005\pi\) |
−0.847838 | + | 0.530256i | \(0.822096\pi\) | |||||||
\(90\) | −7.92705 | + | 0.120221i | −0.835584 | + | 0.0126724i | ||||
\(91\) | − | 9.46443i | − | 0.992141i | ||||||
\(92\) | −6.05700 | − | 7.43726i | −0.631486 | − | 0.775388i | ||||
\(93\) | 24.2210i | 2.51160i | ||||||||
\(94\) | −0.0606650 | − | 4.00009i | −0.00625712 | − | 0.412578i | ||||
\(95\) | −5.20709 | + | 0.748667i | −0.534236 | + | 0.0768116i | ||||
\(96\) | 3.59919 | + | 16.1998i | 0.367341 | + | 1.65339i | ||||
\(97\) | −2.42670 | + | 8.26459i | −0.246394 | + | 0.839142i | 0.739697 | + | 0.672940i | \(0.234969\pi\) |
−0.986092 | + | 0.166202i | \(0.946850\pi\) | |||||||
\(98\) | 1.94131 | + | 12.1871i | 0.196102 | + | 1.23109i | ||||
\(99\) | −11.4399 | − | 9.91271i | −1.14975 | − | 0.996265i | ||||
\(100\) | 1.71452 | + | 1.02976i | 0.171452 | + | 0.102976i | ||||
\(101\) | 0.816787 | + | 2.78172i | 0.0812733 | + | 0.276792i | 0.990096 | − | 0.140391i | \(-0.0448359\pi\) |
−0.908823 | + | 0.417182i | \(0.863018\pi\) | |||||||
\(102\) | 7.93007 | − | 28.6051i | 0.785194 | − | 2.83232i | ||||
\(103\) | −9.50954 | + | 6.11141i | −0.937003 | + | 0.602175i | −0.917544 | − | 0.397635i | \(-0.869831\pi\) |
−0.0194595 | + | 0.999811i | \(0.506195\pi\) | |||||||
\(104\) | −4.89526 | + | 4.64798i | −0.480020 | + | 0.455772i | ||||
\(105\) | 7.61833 | + | 8.79203i | 0.743473 | + | 0.858014i | ||||
\(106\) | −9.36261 | + | 11.1420i | −0.909377 | + | 1.08221i | ||||
\(107\) | 7.97864 | + | 1.14716i | 0.771324 | + | 0.110900i | 0.516730 | − | 0.856148i | \(-0.327149\pi\) |
0.254594 | + | 0.967048i | \(0.418058\pi\) | |||||||
\(108\) | 6.77024 | + | 13.7087i | 0.651467 | + | 1.31912i | ||||
\(109\) | 0.538879 | − | 1.17998i | 0.0516153 | − | 0.113022i | −0.882067 | − | 0.471123i | \(-0.843849\pi\) |
0.933683 | + | 0.358102i | \(0.116576\pi\) | |||||||
\(110\) | 1.13128 | + | 3.64725i | 0.107863 | + | 0.347752i | ||||
\(111\) | 2.94501 | + | 6.44868i | 0.279528 | + | 0.612082i | ||||
\(112\) | 9.64191 | − | 12.5958i | 0.911074 | − | 1.19019i | ||||
\(113\) | 9.28256 | − | 14.4440i | 0.873230 | − | 1.35877i | −0.0595116 | − | 0.998228i | \(-0.518954\pi\) |
0.932742 | − | 0.360545i | \(-0.117409\pi\) | |||||||
\(114\) | 12.0765 | + | 18.1792i | 1.13107 | + | 1.70264i | ||||
\(115\) | 1.72324 | + | 4.47554i | 0.160693 | + | 0.417346i | ||||
\(116\) | −6.85871 | − | 2.88422i | −0.636816 | − | 0.267793i | ||||
\(117\) | −7.23331 | + | 11.2552i | −0.668719 | + | 1.04055i | ||||
\(118\) | −0.754295 | − | 0.844286i | −0.0694385 | − | 0.0777229i | ||||
\(119\) | −25.8099 | + | 11.7870i | −2.36599 | + | 1.08051i | ||||
\(120\) | 0.806111 | − | 8.25818i | 0.0735875 | − | 0.753865i | ||||
\(121\) | 1.54073 | − | 3.37372i | 0.140066 | − | 0.306702i | ||||
\(122\) | 0.687341 | − | 5.35594i | 0.0622290 | − | 0.484904i | ||||
\(123\) | 3.38079 | − | 23.5139i | 0.304836 | − | 2.12018i | ||||
\(124\) | −16.4086 | − | 1.85330i | −1.47353 | − | 0.166431i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | 12.6252 | − | 28.7930i | 1.12474 | − | 2.56509i | ||||
\(127\) | −2.14629 | − | 3.33970i | −0.190453 | − | 0.296350i | 0.732875 | − | 0.680363i | \(-0.238178\pi\) |
−0.923328 | + | 0.384013i | \(0.874542\pi\) | |||||||
\(128\) | −11.2500 | + | 1.19873i | −0.994371 | + | 0.105954i | ||||
\(129\) | −3.76957 | − | 12.8380i | −0.331893 | − | 1.13032i | ||||
\(130\) | 3.04856 | − | 1.44850i | 0.267376 | − | 0.127041i | ||||
\(131\) | −2.91737 | + | 3.36682i | −0.254892 | + | 0.294161i | −0.868745 | − | 0.495259i | \(-0.835073\pi\) |
0.613854 | + | 0.789420i | \(0.289619\pi\) | |||||||
\(132\) | 11.6529 | − | 10.7330i | 1.01425 | − | 0.934186i | ||||
\(133\) | 5.87744 | − | 20.0167i | 0.509638 | − | 1.73567i | ||||
\(134\) | 12.1299 | − | 19.5191i | 1.04786 | − | 1.68619i | ||||
\(135\) | −1.08795 | − | 7.56685i | −0.0936358 | − | 0.651251i | ||||
\(136\) | 18.7718 | + | 7.56099i | 1.60967 | + | 0.648350i | ||||
\(137\) | − | 0.380632i | − | 0.0325196i | −0.999868 | − | 0.0162598i | \(-0.994824\pi\) | ||
0.999868 | − | 0.0162598i | \(-0.00517588\pi\) | |||||||
\(138\) | 13.7027 | − | 14.4259i | 1.16645 | − | 1.22802i | ||||
\(139\) | 7.59377 | 0.644095 | 0.322048 | − | 0.946723i | \(-0.395629\pi\) | ||||
0.322048 | + | 0.946723i | \(0.395629\pi\) | |||||||
\(140\) | −6.53911 | + | 4.48833i | −0.552655 | + | 0.379333i | ||||
\(141\) | 8.21410 | − | 1.18101i | 0.691752 | − | 0.0994590i | ||||
\(142\) | −7.55942 | + | 12.1644i | −0.634372 | + | 1.02081i | ||||
\(143\) | 6.18330 | + | 1.81558i | 0.517074 | + | 0.151827i | ||||
\(144\) | −21.0928 | + | 7.61015i | −1.75773 | + | 0.634179i | ||||
\(145\) | 2.81157 | + | 2.43624i | 0.233488 | + | 0.202319i | ||||
\(146\) | −2.63700 | − | 5.54992i | −0.218240 | − | 0.459315i | ||||
\(147\) | −24.5622 | + | 7.21212i | −2.02586 | + | 0.594846i | ||||
\(148\) | −4.59402 | + | 1.50168i | −0.377626 | + | 0.123437i | ||||
\(149\) | 12.5592 | − | 8.07132i | 1.02889 | − | 0.661228i | 0.0866762 | − | 0.996237i | \(-0.472375\pi\) |
0.942215 | + | 0.335008i | \(0.108739\pi\) | |||||||
\(150\) | −1.66601 | + | 3.79950i | −0.136029 | + | 0.310228i | ||||
\(151\) | 11.8155 | − | 10.2382i | 0.961529 | − | 0.833169i | −0.0245076 | − | 0.999700i | \(-0.507802\pi\) |
0.986036 | + | 0.166530i | \(0.0532563\pi\) | |||||||
\(152\) | −13.2396 | + | 6.79024i | −1.07387 | + | 0.550761i | ||||
\(153\) | 39.7019 | + | 5.70827i | 3.20971 | + | 0.461486i | ||||
\(154\) | −15.0203 | − | 1.92759i | −1.21037 | − | 0.155329i | ||||
\(155\) | 7.51034 | + | 3.42986i | 0.603245 | + | 0.275493i | ||||
\(156\) | −10.8557 | − | 8.84465i | −0.869152 | − | 0.708139i | ||||
\(157\) | −8.62870 | − | 18.8942i | −0.688645 | − | 1.50792i | −0.853216 | − | 0.521557i | \(-0.825351\pi\) |
0.164571 | − | 0.986365i | \(-0.447376\pi\) | |||||||
\(158\) | 8.21272 | + | 9.19254i | 0.653369 | + | 0.731319i | ||||
\(159\) | −25.3967 | − | 16.3214i | −2.01409 | − | 1.29437i | ||||
\(160\) | 5.53284 | + | 1.17799i | 0.437410 | + | 0.0931279i | ||||
\(161\) | −18.9833 | − | 1.15676i | −1.49609 | − | 0.0911651i | ||||
\(162\) | −6.60673 | + | 4.38886i | −0.519074 | + | 0.344822i | ||||
\(163\) | −5.21835 | − | 3.35363i | −0.408733 | − | 0.262677i | 0.320079 | − | 0.947391i | \(-0.396291\pi\) |
−0.728812 | + | 0.684714i | \(0.759927\pi\) | |||||||
\(164\) | 15.6709 | + | 4.08952i | 1.22369 | + | 0.319338i | ||||
\(165\) | −7.20545 | + | 3.29062i | −0.560944 | + | 0.256174i | ||||
\(166\) | −5.89516 | − | 19.0060i | −0.457553 | − | 1.47515i | ||||
\(167\) | 0.149124 | + | 0.0681026i | 0.0115396 | + | 0.00526994i | 0.421176 | − | 0.906979i | \(-0.361617\pi\) |
−0.409637 | + | 0.912249i | \(0.634345\pi\) | |||||||
\(168\) | 28.4615 | + | 16.5122i | 2.19585 | + | 1.27395i | ||||
\(169\) | −1.03948 | + | 7.22974i | −0.0799600 | + | 0.556134i | ||||
\(170\) | −7.74677 | − | 6.50959i | −0.594150 | − | 0.499262i | ||||
\(171\) | −22.2876 | + | 19.3123i | −1.70437 | + | 1.47685i | ||||
\(172\) | 8.98556 | − | 1.57139i | 0.685143 | − | 0.119818i | ||||
\(173\) | 0.159051 | + | 0.247488i | 0.0120924 | + | 0.0188161i | 0.847247 | − | 0.531199i | \(-0.178258\pi\) |
−0.835155 | + | 0.550015i | \(0.814622\pi\) | |||||||
\(174\) | 4.12325 | − | 14.8732i | 0.312583 | − | 1.12754i | ||||
\(175\) | 3.80500 | − | 1.11725i | 0.287631 | − | 0.0844560i | ||||
\(176\) | 6.37945 | + | 8.71553i | 0.480869 | + | 0.656958i | ||||
\(177\) | 1.53794 | − | 1.77488i | 0.115599 | − | 0.133408i | ||||
\(178\) | 24.1026 | − | 3.83934i | 1.80657 | − | 0.287771i | ||||
\(179\) | 15.1020 | + | 4.43435i | 1.12878 | + | 0.331439i | 0.792227 | − | 0.610227i | \(-0.208922\pi\) |
0.336550 | + | 0.941666i | \(0.390740\pi\) | |||||||
\(180\) | 11.2067 | − | 0.339997i | 0.835296 | − | 0.0253419i | ||||
\(181\) | 1.10560 | + | 7.68959i | 0.0821783 | + | 0.571562i | 0.988758 | + | 0.149527i | \(0.0477751\pi\) |
−0.906579 | + | 0.422035i | \(0.861316\pi\) | |||||||
\(182\) | 0.202968 | + | 13.3832i | 0.0150450 | + | 0.992027i | ||||
\(183\) | 11.2012 | 0.828020 | ||||||||
\(184\) | 8.72440 | + | 10.3868i | 0.643171 | + | 0.765723i | ||||
\(185\) | 2.41661 | 0.177673 | ||||||||
\(186\) | −0.519429 | − | 34.2498i | −0.0380864 | − | 2.51131i | ||||
\(187\) | −2.74951 | − | 19.1232i | −0.201064 | − | 1.39843i | ||||
\(188\) | 0.171567 | + | 5.65503i | 0.0125128 | + | 0.412436i | ||||
\(189\) | 29.0879 | + | 8.54099i | 2.11584 | + | 0.621265i | ||||
\(190\) | 7.34704 | − | 1.17032i | 0.533010 | − | 0.0849040i | ||||
\(191\) | −1.79097 | + | 2.06689i | −0.129590 | + | 0.149555i | −0.816836 | − | 0.576870i | \(-0.804274\pi\) |
0.687246 | + | 0.726425i | \(0.258819\pi\) | |||||||
\(192\) | −5.43685 | − | 22.8302i | −0.392371 | − | 1.64763i | ||||
\(193\) | 1.96732 | − | 0.577657i | 0.141611 | − | 0.0415806i | −0.210159 | − | 0.977667i | \(-0.567398\pi\) |
0.351770 | + | 0.936087i | \(0.385580\pi\) | |||||||
\(194\) | 3.25424 | − | 11.7386i | 0.233641 | − | 0.842782i | ||||
\(195\) | 3.78520 | + | 5.88989i | 0.271064 | + | 0.421784i | ||||
\(196\) | −3.00647 | − | 17.1916i | −0.214748 | − | 1.22797i | ||||
\(197\) | −0.118757 | + | 0.102904i | −0.00846109 | + | 0.00733158i | −0.659081 | − | 0.752072i | \(-0.729055\pi\) |
0.650620 | + | 0.759404i | \(0.274509\pi\) | |||||||
\(198\) | 16.3891 | + | 13.7717i | 1.16473 | + | 0.978715i | ||||
\(199\) | 2.62241 | − | 18.2392i | 0.185898 | − | 1.29295i | −0.656597 | − | 0.754241i | \(-0.728005\pi\) |
0.842495 | − | 0.538704i | \(-0.181086\pi\) | |||||||
\(200\) | −2.44651 | − | 1.41937i | −0.172994 | − | 0.100364i | ||||
\(201\) | 43.3629 | + | 19.8032i | 3.05859 | + | 1.39681i | ||||
\(202\) | −1.21463 | − | 3.91598i | −0.0854613 | − | 0.275527i | ||||
\(203\) | −13.4199 | + | 6.12866i | −0.941892 | + | 0.430148i | ||||
\(204\) | −10.6001 | + | 40.6191i | −0.742154 | + | 2.84390i | ||||
\(205\) | −6.81235 | − | 4.37803i | −0.475795 | − | 0.305775i | ||||
\(206\) | 13.3159 | − | 8.84578i | 0.927764 | − | 0.616315i | ||||
\(207\) | 21.6912 | + | 15.8839i | 1.50764 | + | 1.10400i | ||||
\(208\) | 6.82247 | − | 6.67746i | 0.473053 | − | 0.462999i | ||||
\(209\) | 11.9498 | + | 7.67970i | 0.826588 | + | 0.531216i | ||||
\(210\) | −10.9613 | − | 12.2690i | −0.756399 | − | 0.846641i | ||||
\(211\) | −4.89813 | − | 10.7254i | −0.337201 | − | 0.738367i | 0.662744 | − | 0.748846i | \(-0.269392\pi\) |
−0.999945 | + | 0.0104787i | \(0.996664\pi\) | |||||||
\(212\) | 13.0003 | − | 15.9562i | 0.892861 | − | 1.09588i | ||||
\(213\) | −27.0240 | − | 12.3415i | −1.85166 | − | 0.845623i | ||||
\(214\) | −11.3068 | − | 1.45103i | −0.772917 | − | 0.0991904i | ||||
\(215\) | −4.51454 | − | 0.649093i | −0.307889 | − | 0.0442678i | ||||
\(216\) | −9.86746 | − | 19.2396i | −0.671395 | − | 1.30909i | ||||
\(217\) | −24.7448 | + | 21.4415i | −1.67979 | + | 1.45554i | ||||
\(218\) | −0.736698 | + | 1.68011i | −0.0498955 | + | 0.113791i | ||||
\(219\) | 10.7226 | − | 6.89099i | 0.724566 | − | 0.465650i | ||||
\(220\) | −1.67791 | − | 5.13314i | −0.113124 | − | 0.346076i | ||||
\(221\) | −16.3844 | + | 4.81090i | −1.10214 | + | 0.323616i | ||||
\(222\) | −4.30270 | − | 9.05561i | −0.288778 | − | 0.607773i | ||||
\(223\) | 11.8047 | + | 10.2288i | 0.790500 | + | 0.684972i | 0.953413 | − | 0.301668i | \(-0.0975435\pi\) |
−0.162913 | + | 0.986640i | \(0.552089\pi\) | |||||||
\(224\) | −13.3640 | + | 18.0178i | −0.892921 | + | 1.20387i | ||||
\(225\) | −5.37883 | − | 1.57937i | −0.358589 | − | 0.105291i | ||||
\(226\) | −12.8163 | + | 20.6236i | −0.852525 | + | 1.37186i | ||||
\(227\) | −6.86109 | + | 0.986475i | −0.455386 | + | 0.0654747i | −0.366191 | − | 0.930540i | \(-0.619338\pi\) |
−0.0891948 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(228\) | −17.4666 | − | 25.4473i | −1.15675 | − | 1.68529i | ||||
\(229\) | 13.4293 | 0.887433 | 0.443717 | − | 0.896167i | \(-0.353660\pi\) | ||||
0.443717 | + | 0.896167i | \(0.353660\pi\) | |||||||
\(230\) | −2.53272 | − | 6.29169i | −0.167003 | − | 0.414861i | ||||
\(231\) | − | 31.4129i | − | 2.06682i | ||||||
\(232\) | 9.76042 | + | 3.93135i | 0.640803 | + | 0.258106i | ||||
\(233\) | −3.44109 | − | 23.9333i | −0.225433 | − | 1.56792i | −0.716993 | − | 0.697080i | \(-0.754482\pi\) |
0.491560 | − | 0.870844i | \(-0.336427\pi\) | |||||||
\(234\) | 9.98689 | − | 16.0706i | 0.652864 | − | 1.05057i | ||||
\(235\) | 0.796970 | − | 2.71423i | 0.0519886 | − | 0.177057i | ||||
\(236\) | 1.08472 | + | 1.17769i | 0.0706091 | + | 0.0766609i | ||||
\(237\) | −16.7450 | + | 19.3248i | −1.08770 | + | 1.25528i | ||||
\(238\) | 36.2437 | − | 17.2209i | 2.34933 | − | 1.11626i | ||||
\(239\) | 3.66216 | + | 12.4722i | 0.236886 | + | 0.806759i | 0.989024 | + | 0.147754i | \(0.0472043\pi\) |
−0.752138 | + | 0.659005i | \(0.770978\pi\) | |||||||
\(240\) | −0.962783 | + | 11.6948i | −0.0621473 | + | 0.754894i | ||||
\(241\) | −7.57875 | − | 11.7928i | −0.488190 | − | 0.759639i | 0.506534 | − | 0.862220i | \(-0.330926\pi\) |
−0.994725 | + | 0.102581i | \(0.967290\pi\) | |||||||
\(242\) | −2.10632 | + | 4.80366i | −0.135399 | + | 0.308791i | ||||
\(243\) | 4.24410 | + | 4.89795i | 0.272259 | + | 0.314204i | ||||
\(244\) | −0.857075 | + | 7.58831i | −0.0548686 | + | 0.485792i | ||||
\(245\) | −1.24187 | + | 8.63743i | −0.0793405 | + | 0.551825i | ||||
\(246\) | −4.27635 | + | 33.3224i | −0.272650 | + | 2.12456i | ||||
\(247\) | 5.21557 | − | 11.4205i | 0.331859 | − | 0.726670i | ||||
\(248\) | 23.2423 | + | 2.26877i | 1.47589 | + | 0.144067i | ||||
\(249\) | 37.5479 | − | 17.1476i | 2.37950 | − | 1.08668i | ||||
\(250\) | 0.942214 | + | 1.05462i | 0.0595908 | + | 0.0667003i | ||||
\(251\) | 7.24186 | − | 11.2686i | 0.457102 | − | 0.711265i | −0.533835 | − | 0.845588i | \(-0.679250\pi\) |
0.990938 | + | 0.134324i | \(0.0428862\pi\) | |||||||
\(252\) | −17.2352 | + | 40.9856i | −1.08572 | + | 2.58185i | ||||
\(253\) | 4.39734 | − | 12.1803i | 0.276458 | − | 0.765767i | ||||
\(254\) | 3.10659 | + | 4.67647i | 0.194925 | + | 0.293428i | ||||
\(255\) | 11.3479 | − | 17.6577i | 0.710633 | − | 1.10577i | ||||
\(256\) | 15.8824 | − | 1.93633i | 0.992650 | − | 0.121021i | ||||
\(257\) | −5.88964 | − | 12.8965i | −0.367386 | − | 0.804463i | −0.999561 | − | 0.0296371i | \(-0.990565\pi\) |
0.632175 | − | 0.774826i | \(-0.282162\pi\) | |||||||
\(258\) | 5.60569 | + | 18.0727i | 0.348995 | + | 1.12516i | ||||
\(259\) | −3.98109 | + | 8.71736i | −0.247373 | + | 0.541671i | ||||
\(260\) | −4.27975 | + | 2.11362i | −0.265419 | + | 0.131081i | ||||
\(261\) | 20.6431 | + | 2.96802i | 1.27777 | + | 0.183716i | ||||
\(262\) | 4.05310 | − | 4.82342i | 0.250402 | − | 0.297992i | ||||
\(263\) | −1.14086 | − | 1.31662i | −0.0703485 | − | 0.0811865i | 0.719484 | − | 0.694509i | \(-0.244378\pi\) |
−0.789833 | + | 0.613322i | \(0.789833\pi\) | |||||||
\(264\) | −16.2476 | + | 15.4269i | −0.999971 | + | 0.949459i | ||||
\(265\) | −8.65721 | + | 5.56365i | −0.531808 | + | 0.341773i | ||||
\(266\) | −7.88173 | + | 28.4307i | −0.483260 | + | 1.74320i | ||||
\(267\) | 14.2635 | + | 48.5770i | 0.872911 | + | 2.97286i | ||||
\(268\) | −16.7337 | + | 27.8611i | −1.02217 | + | 1.70189i | ||||
\(269\) | −4.89624 | − | 4.24261i | −0.298529 | − | 0.258677i | 0.492697 | − | 0.870201i | \(-0.336011\pi\) |
−0.791226 | + | 0.611524i | \(0.790557\pi\) | |||||||
\(270\) | 1.70069 | + | 10.6766i | 0.103501 | + | 0.649756i | ||||
\(271\) | −5.41170 | + | 18.4306i | −0.328737 | + | 1.11958i | 0.614903 | + | 0.788603i | \(0.289195\pi\) |
−0.943640 | + | 0.330974i | \(0.892623\pi\) | |||||||
\(272\) | −26.7064 | − | 10.2891i | −1.61931 | − | 0.623866i | ||||
\(273\) | −27.4821 | + | 3.95133i | −1.66329 | + | 0.239145i | ||||
\(274\) | 0.00816280 | + | 0.538233i | 0.000493133 | + | 0.0325159i | ||||
\(275\) | 2.70021i | 0.162829i | ||||||||
\(276\) | −19.0670 | + | 20.6928i | −1.14770 | + | 1.24556i | ||||
\(277\) | − | 24.1858i | − | 1.45319i | −0.687068 | − | 0.726593i | \(-0.741103\pi\) | ||
0.687068 | − | 0.726593i | \(-0.258897\pi\) | |||||||
\(278\) | −10.7380 | + | 0.162851i | −0.644021 | + | 0.00976717i | ||||
\(279\) | 45.8139 | − | 6.58704i | 2.74281 | − | 0.394356i | ||||
\(280\) | 9.15038 | − | 6.48696i | 0.546840 | − | 0.387670i | ||||
\(281\) | 1.99525 | − | 6.79520i | 0.119027 | − | 0.405368i | −0.878328 | − | 0.478059i | \(-0.841341\pi\) |
0.997354 | + | 0.0726912i | \(0.0231587\pi\) | |||||||
\(282\) | −11.5898 | + | 1.84616i | −0.690164 | + | 0.109937i | ||||
\(283\) | 9.33245 | + | 8.08661i | 0.554756 | + | 0.480699i | 0.886537 | − | 0.462657i | \(-0.153104\pi\) |
−0.331781 | + | 0.943356i | \(0.607649\pi\) | |||||||
\(284\) | 10.4285 | − | 17.3632i | 0.618820 | − | 1.03032i | ||||
\(285\) | 4.34784 | + | 14.8074i | 0.257544 | + | 0.877114i | ||||
\(286\) | −8.78244 | − | 2.43472i | −0.519317 | − | 0.143968i | ||||
\(287\) | 27.0153 | − | 17.3617i | 1.59466 | − | 1.02483i | ||||
\(288\) | 29.6631 | − | 11.2135i | 1.74791 | − | 0.660761i | ||||
\(289\) | 22.3920 | + | 25.8418i | 1.31718 | + | 1.52011i | ||||
\(290\) | −4.02795 | − | 3.38467i | −0.236529 | − | 0.198755i | ||||
\(291\) | 25.0112 | + | 3.59607i | 1.46618 | + | 0.210805i | ||||
\(292\) | 3.84787 | + | 7.79132i | 0.225180 | + | 0.455953i | ||||
\(293\) | −1.27492 | + | 2.79168i | −0.0744815 | + | 0.163092i | −0.943210 | − | 0.332197i | \(-0.892210\pi\) |
0.868729 | + | 0.495288i | \(0.164938\pi\) | |||||||
\(294\) | 34.5776 | − | 10.7251i | 2.01661 | − | 0.625498i | ||||
\(295\) | −0.332563 | − | 0.728212i | −0.0193626 | − | 0.0423981i | ||||
\(296\) | 6.46397 | − | 2.22197i | 0.375711 | − | 0.129150i | ||||
\(297\) | −11.1600 | + | 17.3653i | −0.647569 | + | 1.00764i | ||||
\(298\) | −17.5863 | + | 11.6826i | −1.01875 | + | 0.676755i | ||||
\(299\) | −11.2092 | − | 2.31497i | −0.648247 | − | 0.133878i | ||||
\(300\) | 2.27435 | − | 5.40842i | 0.131309 | − | 0.312255i | ||||
\(301\) | 9.77864 | − | 15.2159i | 0.563631 | − | 0.877027i | ||||
\(302\) | −16.4881 | + | 14.7307i | −0.948784 | + | 0.847654i | ||||
\(303\) | 7.73635 | − | 3.53307i | 0.444442 | − | 0.202970i | ||||
\(304\) | 18.5758 | − | 9.88567i | 1.06540 | − | 0.566982i | ||||
\(305\) | 1.58617 | − | 3.47323i | 0.0908239 | − | 0.198877i | ||||
\(306\) | −56.2629 | − | 7.22036i | −3.21634 | − | 0.412761i | ||||
\(307\) | 3.35843 | − | 23.3584i | 0.191676 | − | 1.33313i | −0.635896 | − | 0.771775i | \(-0.719369\pi\) |
0.827572 | − | 0.561360i | \(-0.189722\pi\) | |||||||
\(308\) | 21.2807 | + | 2.40359i | 1.21258 | + | 0.136957i | ||||
\(309\) | 21.7160 | + | 25.0616i | 1.23538 | + | 1.42571i | ||||
\(310\) | −10.6936 | − | 4.68893i | −0.607353 | − | 0.266313i | ||||
\(311\) | −0.336387 | − | 0.523428i | −0.0190748 | − | 0.0296809i | 0.831585 | − | 0.555397i | \(-0.187434\pi\) |
−0.850660 | + | 0.525716i | \(0.823797\pi\) | |||||||
\(312\) | 15.5402 | + | 12.2740i | 0.879790 | + | 0.694878i | ||||
\(313\) | −0.772329 | − | 2.63031i | −0.0436546 | − | 0.148674i | 0.934782 | − | 0.355223i | \(-0.115595\pi\) |
−0.978436 | + | 0.206549i | \(0.933777\pi\) | |||||||
\(314\) | 12.6066 | + | 26.5323i | 0.711432 | + | 1.49731i | ||||
\(315\) | 14.5582 | − | 16.8011i | 0.820262 | − | 0.946633i | ||||
\(316\) | −11.8103 | − | 12.8226i | −0.664384 | − | 0.721327i | ||||
\(317\) | −0.192504 | + | 0.655608i | −0.0108121 | + | 0.0368226i | −0.964722 | − | 0.263269i | \(-0.915199\pi\) |
0.953910 | + | 0.300092i | \(0.0970174\pi\) | |||||||
\(318\) | 36.2622 | + | 22.5347i | 2.03348 | + | 1.26368i | ||||
\(319\) | −1.42961 | − | 9.94316i | −0.0800428 | − | 0.556710i | ||||
\(320\) | −7.84898 | − | 1.54708i | −0.438772 | − | 0.0864843i | ||||
\(321\) | − | 23.6467i | − | 1.31983i | ||||||
\(322\) | 26.8682 | + | 1.22861i | 1.49730 | + | 0.0684676i | ||||
\(323\) | −37.6397 | −2.09433 | ||||||||
\(324\) | 9.24814 | − | 6.34776i | 0.513785 | − | 0.352653i | ||||
\(325\) | 2.36232 | − | 0.339650i | 0.131038 | − | 0.0188404i | ||||
\(326\) | 7.45094 | + | 4.63030i | 0.412669 | + | 0.256448i | ||||
\(327\) | −3.65132 | − | 1.07212i | −0.201918 | − | 0.0592886i | ||||
\(328\) | −22.2471 | − | 5.44672i | −1.22839 | − | 0.300745i | ||||
\(329\) | 8.47804 | + | 7.34626i | 0.467409 | + | 0.405012i | ||||
\(330\) | 10.1183 | − | 4.80763i | 0.556994 | − | 0.264651i | ||||
\(331\) | 1.28006 | − | 0.375858i | 0.0703582 | − | 0.0206590i | −0.246364 | − | 0.969177i | \(-0.579236\pi\) |
0.316722 | + | 0.948518i | \(0.397418\pi\) | |||||||
\(332\) | 8.74364 | + | 26.7490i | 0.479870 | + | 1.46804i | ||||
\(333\) | 11.3967 | − | 7.32423i | 0.624537 | − | 0.401365i | ||||
\(334\) | −0.212329 | − | 0.0931026i | −0.0116181 | − | 0.00509435i | ||||
\(335\) | 12.2810 | − | 10.6415i | 0.670981 | − | 0.581408i | ||||
\(336\) | −40.6001 | − | 22.7388i | −2.21492 | − | 1.24050i | ||||
\(337\) | 10.7118 | + | 1.54012i | 0.583507 | + | 0.0838957i | 0.427746 | − | 0.903899i | \(-0.359308\pi\) |
0.155761 | + | 0.987795i | \(0.450217\pi\) | |||||||
\(338\) | 1.31483 | − | 10.2455i | 0.0715175 | − | 0.557283i | ||||
\(339\) | −45.8167 | − | 20.9238i | −2.48842 | − | 1.13642i | ||||
\(340\) | 11.0939 | + | 9.03875i | 0.601653 | + | 0.490195i | ||||
\(341\) | −9.26132 | − | 20.2795i | −0.501529 | − | 1.09819i | ||||
\(342\) | 31.1016 | − | 27.7865i | 1.68178 | − | 1.50252i | ||||
\(343\) | −5.75895 | − | 3.70105i | −0.310954 | − | 0.199838i | ||||
\(344\) | −12.6723 | + | 2.41473i | −0.683247 | + | 0.130194i | ||||
\(345\) | 12.2763 | − | 6.87231i | 0.660933 | − | 0.369993i | ||||
\(346\) | −0.230213 | − | 0.346549i | −0.0123763 | − | 0.0186306i | ||||
\(347\) | −27.1339 | − | 17.4379i | −1.45662 | − | 0.936116i | −0.998894 | − | 0.0470255i | \(-0.985026\pi\) |
−0.457731 | − | 0.889091i | \(-0.651338\pi\) | |||||||
\(348\) | −5.51153 | + | 21.1200i | −0.295449 | + | 1.13215i | ||||
\(349\) | −8.97024 | + | 4.09657i | −0.480166 | + | 0.219285i | −0.640768 | − | 0.767735i | \(-0.721384\pi\) |
0.160602 | + | 0.987019i | \(0.448657\pi\) | |||||||
\(350\) | −5.35650 | + | 1.66145i | −0.286317 | + | 0.0888080i | ||||
\(351\) | 16.5961 | + | 7.57918i | 0.885834 | + | 0.404547i | ||||
\(352\) | −9.20778 | − | 12.1874i | −0.490776 | − | 0.649590i | ||||
\(353\) | 2.39019 | − | 16.6241i | 0.127217 | − | 0.884813i | −0.821842 | − | 0.569715i | \(-0.807054\pi\) |
0.949059 | − | 0.315098i | \(-0.102037\pi\) | |||||||
\(354\) | −2.13666 | + | 2.54275i | −0.113562 | + | 0.135146i | ||||
\(355\) | −7.65357 | + | 6.63186i | −0.406209 | + | 0.351982i | ||||
\(356\) | −34.0000 | + | 5.94591i | −1.80199 | + | 0.315133i | ||||
\(357\) | 45.0016 | + | 70.0238i | 2.38174 | + | 3.70605i | ||||
\(358\) | −21.4501 | − | 5.94653i | −1.13367 | − | 0.314284i | ||||
\(359\) | 13.0464 | − | 3.83076i | 0.688561 | − | 0.202180i | 0.0813088 | − | 0.996689i | \(-0.474090\pi\) |
0.607252 | + | 0.794509i | \(0.292272\pi\) | |||||||
\(360\) | −15.8395 | + | 0.721104i | −0.834816 | + | 0.0380055i | ||||
\(361\) | 5.68045 | − | 6.55559i | 0.298971 | − | 0.345031i | ||||
\(362\) | −1.72827 | − | 10.8498i | −0.0908361 | − | 0.570251i | ||||
\(363\) | −10.4396 | − | 3.06534i | −0.547937 | − | 0.160889i | ||||
\(364\) | −0.574015 | − | 18.9201i | −0.0300865 | − | 0.991685i | ||||
\(365\) | −0.618336 | − | 4.30062i | −0.0323652 | − | 0.225105i | ||||
\(366\) | −15.8391 | + | 0.240215i | −0.827924 | + | 0.0125562i | ||||
\(367\) | −28.7128 | −1.49880 | −0.749398 | − | 0.662119i | \(-0.769657\pi\) | ||||
−0.749398 | + | 0.662119i | \(0.769657\pi\) | |||||||
\(368\) | −12.5595 | − | 14.5003i | −0.654709 | − | 0.755881i | ||||
\(369\) | −45.3959 | −2.36321 | ||||||||
\(370\) | −3.41721 | + | 0.0518251i | −0.177652 | + | 0.00269426i | ||||
\(371\) | −5.80783 | − | 40.3944i | −0.301528 | − | 2.09717i | ||||
\(372\) | 1.46900 | + | 48.4198i | 0.0761640 | + | 2.51045i | ||||
\(373\) | −16.5850 | − | 4.86979i | −0.858738 | − | 0.252148i | −0.177419 | − | 0.984135i | \(-0.556775\pi\) |
−0.681318 | + | 0.731987i | \(0.738593\pi\) | |||||||
\(374\) | 4.29805 | + | 26.9823i | 0.222247 | + | 1.39522i | ||||
\(375\) | −1.92109 | + | 2.21705i | −0.0992046 | + | 0.114488i | ||||
\(376\) | −0.363879 | − | 7.99282i | −0.0187656 | − | 0.412198i | ||||
\(377\) | −8.51911 | + | 2.50144i | −0.438757 | + | 0.128831i | ||||
\(378\) | −41.3150 | − | 11.4536i | −2.12501 | − | 0.589109i | ||||
\(379\) | 2.38394 | + | 3.70949i | 0.122455 | + | 0.190543i | 0.897069 | − | 0.441891i | \(-0.145692\pi\) |
−0.774614 | + | 0.632434i | \(0.782056\pi\) | |||||||
\(380\) | −10.3640 | + | 1.81245i | −0.531661 | + | 0.0929769i | ||||
\(381\) | −8.80150 | + | 7.62654i | −0.450914 | + | 0.390719i | ||||
\(382\) | 2.48820 | − | 2.96110i | 0.127307 | − | 0.151503i | ||||
\(383\) | −0.634390 | + | 4.41228i | −0.0324158 | + | 0.225457i | −0.999589 | − | 0.0286605i | \(-0.990876\pi\) |
0.967173 | + | 0.254117i | \(0.0817849\pi\) | |||||||
\(384\) | 8.17759 | + | 32.1665i | 0.417311 | + | 1.64149i | ||||
\(385\) | −9.74037 | − | 4.44828i | −0.496415 | − | 0.226705i | ||||
\(386\) | −2.76950 | + | 0.859026i | −0.140964 | + | 0.0437233i | ||||
\(387\) | −23.2578 | + | 10.6215i | −1.18226 | + | 0.539921i | ||||
\(388\) | −4.34993 | + | 16.6688i | −0.220834 | + | 0.846228i | ||||
\(389\) | −4.01908 | − | 2.58291i | −0.203775 | − | 0.130959i | 0.434773 | − | 0.900540i | \(-0.356829\pi\) |
−0.638549 | + | 0.769581i | \(0.720465\pi\) | |||||||
\(390\) | −5.47878 | − | 8.24743i | −0.277429 | − | 0.417625i | ||||
\(391\) | 7.64695 | + | 33.4511i | 0.386723 | + | 1.69170i | ||||
\(392\) | 4.61998 | + | 24.2453i | 0.233344 | + | 1.22457i | ||||
\(393\) | 10.9943 | + | 7.06561i | 0.554589 | + | 0.356413i | ||||
\(394\) | 0.165722 | − | 0.148058i | 0.00834894 | − | 0.00745904i | ||||
\(395\) | 3.62093 | + | 7.92872i | 0.182189 | + | 0.398937i | ||||
\(396\) | −23.4704 | − | 19.1225i | −1.17943 | − | 0.960940i | ||||
\(397\) | −14.1911 | − | 6.48085i | −0.712230 | − | 0.325264i | 0.0261421 | − | 0.999658i | \(-0.491678\pi\) |
−0.738372 | + | 0.674394i | \(0.764405\pi\) | |||||||
\(398\) | −3.31707 | + | 25.8475i | −0.166270 | + | 1.29562i | ||||
\(399\) | −60.5768 | − | 8.70963i | −3.03263 | − | 0.436027i | ||||
\(400\) | 3.48992 | + | 1.95459i | 0.174496 | + | 0.0977296i | ||||
\(401\) | 11.5198 | − | 9.98198i | 0.575272 | − | 0.498476i | −0.317940 | − | 0.948111i | \(-0.602991\pi\) |
0.893213 | + | 0.449634i | \(0.148446\pi\) | |||||||
\(402\) | −61.7421 | − | 27.0728i | −3.07942 | − | 1.35027i | ||||
\(403\) | −16.5769 | + | 10.6533i | −0.825753 | + | 0.530679i | ||||
\(404\) | 1.80153 | + | 5.51134i | 0.0896296 | + | 0.274200i | ||||
\(405\) | −5.38134 | + | 1.58010i | −0.267401 | + | 0.0785160i | ||||
\(406\) | 18.8450 | − | 8.95403i | 0.935261 | − | 0.444381i | ||||
\(407\) | −4.93153 | − | 4.27320i | −0.244447 | − | 0.211814i | ||||
\(408\) | 14.1180 | − | 57.6648i | 0.698943 | − | 2.85483i | ||||
\(409\) | −29.2118 | − | 8.57736i | −1.44443 | − | 0.424123i | −0.536735 | − | 0.843751i | \(-0.680342\pi\) |
−0.907696 | + | 0.419628i | \(0.862161\pi\) | |||||||
\(410\) | 9.72690 | + | 6.04467i | 0.480377 | + | 0.298525i | ||||
\(411\) | −1.10525 | + | 0.158911i | −0.0545180 | + | 0.00783850i | ||||
\(412\) | −18.6397 | + | 12.7940i | −0.918311 | + | 0.630313i | ||||
\(413\) | 3.17471 | 0.156217 | ||||||||
\(414\) | −31.0131 | − | 21.9954i | −1.52421 | − | 1.08102i | ||||
\(415\) | − | 14.0709i | − | 0.690713i | ||||||
\(416\) | −9.50412 | + | 9.58858i | −0.465978 | + | 0.470119i | ||||
\(417\) | −3.17034 | − | 22.0502i | −0.155252 | − | 1.07980i | ||||
\(418\) | −17.0624 | − | 10.6032i | −0.834548 | − | 0.518620i | ||||
\(419\) | −3.44656 | + | 11.7379i | −0.168375 | + | 0.573434i | 0.831465 | + | 0.555577i | \(0.187503\pi\) |
−0.999841 | + | 0.0178571i | \(0.994316\pi\) | |||||||
\(420\) | 15.7629 | + | 17.1139i | 0.769151 | + | 0.835074i | ||||
\(421\) | 23.9730 | − | 27.6663i | 1.16837 | − | 1.34837i | 0.242676 | − | 0.970107i | \(-0.421975\pi\) |
0.925697 | − | 0.378267i | \(-0.123480\pi\) | |||||||
\(422\) | 7.15621 | + | 15.0612i | 0.348359 | + | 0.733169i | ||||
\(423\) | −4.46774 | − | 15.2157i | −0.217229 | − | 0.739814i | ||||
\(424\) | −18.0408 | + | 22.8416i | −0.876141 | + | 1.10929i | ||||
\(425\) | −3.86827 | − | 6.01914i | −0.187639 | − | 0.291971i | ||||
\(426\) | 38.4780 | + | 16.8719i | 1.86427 | + | 0.817447i | ||||
\(427\) | 9.91583 | + | 11.4435i | 0.479861 | + | 0.553789i | ||||
\(428\) | 16.0195 | + | 1.80935i | 0.774333 | + | 0.0874584i | ||||
\(429\) | 2.69046 | − | 18.7126i | 0.129897 | − | 0.903453i | ||||
\(430\) | 6.39771 | + | 0.821035i | 0.308525 | + | 0.0395938i | ||||
\(431\) | 9.06396 | − | 19.8473i | 0.436596 | − | 0.956011i | −0.555615 | − | 0.831440i | \(-0.687517\pi\) |
0.992211 | − | 0.124571i | \(-0.0397556\pi\) | |||||||
\(432\) | 14.3657 | + | 26.9941i | 0.691169 | + | 1.29875i | ||||
\(433\) | 10.9007 | − | 4.97819i | 0.523854 | − | 0.239236i | −0.135893 | − | 0.990723i | \(-0.543390\pi\) |
0.659748 | + | 0.751487i | \(0.270663\pi\) | |||||||
\(434\) | 34.5306 | − | 30.8501i | 1.65752 | − | 1.48085i | ||||
\(435\) | 5.90035 | − | 9.18113i | 0.282900 | − | 0.440201i | ||||
\(436\) | 1.00570 | − | 2.39156i | 0.0481642 | − | 0.114535i | ||||
\(437\) | −22.2693 | − | 11.8570i | −1.06528 | − | 0.567196i | ||||
\(438\) | −15.0145 | + | 9.97417i | −0.717421 | + | 0.476584i | ||||
\(439\) | −16.7995 | + | 26.1406i | −0.801799 | + | 1.24762i | 0.163518 | + | 0.986540i | \(0.447716\pi\) |
−0.965316 | + | 0.261083i | \(0.915921\pi\) | |||||||
\(440\) | 2.48273 | + | 7.22253i | 0.118359 | + | 0.344321i | ||||
\(441\) | 20.3215 | + | 44.4979i | 0.967692 | + | 2.11895i | ||||
\(442\) | 23.0652 | − | 7.15423i | 1.09710 | − | 0.340292i | ||||
\(443\) | 13.2235 | − | 28.9555i | 0.628269 | − | 1.37572i | −0.281081 | − | 0.959684i | \(-0.590693\pi\) |
0.909350 | − | 0.416033i | \(-0.136580\pi\) | |||||||
\(444\) | 6.27843 | + | 12.7128i | 0.297961 | + | 0.603324i | ||||
\(445\) | 17.0823 | + | 2.45607i | 0.809780 | + | 0.116429i | ||||
\(446\) | −16.9118 | − | 14.2109i | −0.800796 | − | 0.672906i | ||||
\(447\) | −28.6803 | − | 33.0988i | −1.35653 | − | 1.56552i | ||||
\(448\) | 18.5110 | − | 25.7648i | 0.874563 | − | 1.21727i | ||||
\(449\) | −24.2593 | + | 15.5905i | −1.14487 | + | 0.735761i | −0.968611 | − | 0.248583i | \(-0.920035\pi\) |
−0.176256 | + | 0.984344i | \(0.556399\pi\) | |||||||
\(450\) | 7.63982 | + | 2.11796i | 0.360144 | + | 0.0998414i | ||||
\(451\) | 6.16033 | + | 20.9802i | 0.290079 | + | 0.987917i | ||||
\(452\) | 17.6806 | − | 29.4376i | 0.831624 | − | 1.38463i | ||||
\(453\) | −34.6617 | − | 30.0345i | −1.62855 | − | 1.41114i | ||||
\(454\) | 9.68077 | − | 1.54206i | 0.454341 | − | 0.0723727i | ||||
\(455\) | −2.66644 | + | 9.08105i | −0.125004 | + | 0.425726i | ||||
\(456\) | 25.2444 | + | 35.6093i | 1.18218 | + | 1.66756i | ||||
\(457\) | 12.7643 | − | 1.83523i | 0.597089 | − | 0.0858485i | 0.162857 | − | 0.986650i | \(-0.447929\pi\) |
0.434232 | + | 0.900801i | \(0.357020\pi\) | |||||||
\(458\) | −18.9897 | + | 0.287996i | −0.887331 | + | 0.0134572i | ||||
\(459\) | − | 54.6973i | − | 2.55305i | ||||||
\(460\) | 3.71633 | + | 8.84245i | 0.173275 | + | 0.412281i | ||||
\(461\) | − | 15.8262i | − | 0.737100i | −0.929608 | − | 0.368550i | \(-0.879854\pi\) | ||
0.929608 | − | 0.368550i | \(-0.120146\pi\) | |||||||
\(462\) | 0.673661 | + | 44.4194i | 0.0313416 | + | 2.06658i | ||||
\(463\) | 9.06780 | − | 1.30375i | 0.421417 | − | 0.0605905i | 0.0716554 | − | 0.997429i | \(-0.477172\pi\) |
0.349761 | + | 0.936839i | \(0.386263\pi\) | |||||||
\(464\) | −13.8860 | − | 5.34981i | −0.644643 | − | 0.248359i | ||||
\(465\) | 6.82385 | − | 23.2399i | 0.316448 | − | 1.07772i | ||||
\(466\) | 5.37914 | + | 33.7691i | 0.249184 | + | 1.56433i | ||||
\(467\) | 14.1975 | + | 12.3022i | 0.656982 | + | 0.569278i | 0.918256 | − | 0.395986i | \(-0.129597\pi\) |
−0.261274 | + | 0.965265i | \(0.584143\pi\) | |||||||
\(468\) | −13.7773 | + | 22.9388i | −0.636857 | + | 1.06035i | ||||
\(469\) | 18.1553 | + | 61.8314i | 0.838335 | + | 2.85511i | ||||
\(470\) | −1.06875 | + | 3.85515i | −0.0492977 | + | 0.177825i | ||||
\(471\) | −51.2612 | + | 32.9435i | −2.36199 | + | 1.51796i | ||||
\(472\) | −1.55910 | − | 1.64205i | −0.0717635 | − | 0.0755814i | ||||
\(473\) | 8.06497 | + | 9.30747i | 0.370828 | + | 0.427958i | ||||
\(474\) | 23.2639 | − | 27.6853i | 1.06854 | − | 1.27163i | ||||
\(475\) | 5.20709 | + | 0.748667i | 0.238918 | + | 0.0343512i | ||||
\(476\) | −50.8812 | + | 25.1285i | −2.33213 | + | 1.15176i | ||||
\(477\) | −23.9651 | + | 52.4763i | −1.09729 | + | 2.40273i | ||||
\(478\) | −5.44596 | − | 17.5578i | −0.249092 | − | 0.803074i | ||||
\(479\) | 13.5771 | + | 29.7298i | 0.620355 | + | 1.35839i | 0.915261 | + | 0.402861i | \(0.131984\pi\) |
−0.294906 | + | 0.955526i | \(0.595288\pi\) | |||||||
\(480\) | 1.11062 | − | 16.5576i | 0.0506929 | − | 0.755750i | ||||
\(481\) | −3.11815 | + | 4.85194i | −0.142176 | + | 0.221229i | ||||
\(482\) | 10.9696 | + | 16.5130i | 0.499653 | + | 0.752148i | ||||
\(483\) | 4.56648 | + | 55.6052i | 0.207782 | + | 2.53012i | ||||
\(484\) | 2.87542 | − | 6.83778i | 0.130701 | − | 0.310808i | ||||
\(485\) | 4.65681 | − | 7.24613i | 0.211455 | − | 0.329030i | ||||
\(486\) | −6.10641 | − | 6.83494i | −0.276993 | − | 0.310039i | ||||
\(487\) | −10.9200 | + | 4.98701i | −0.494833 | + | 0.225983i | −0.647170 | − | 0.762346i | \(-0.724048\pi\) |
0.152336 | + | 0.988329i | \(0.451320\pi\) | |||||||
\(488\) | 1.04921 | − | 10.7486i | 0.0474957 | − | 0.486568i | ||||
\(489\) | −7.55940 | + | 16.5528i | −0.341848 | + | 0.748542i | ||||
\(490\) | 1.57084 | − | 12.2404i | 0.0709634 | − | 0.552965i | ||||
\(491\) | −1.19567 | + | 8.31607i | −0.0539598 | + | 0.375299i | 0.944892 | + | 0.327383i | \(0.106167\pi\) |
−0.998851 | + | 0.0479154i | \(0.984742\pi\) | |||||||
\(492\) | 5.33236 | − | 47.2113i | 0.240402 | − | 2.12845i | ||||
\(493\) | 17.4312 | + | 20.1167i | 0.785062 | + | 0.906010i | ||||
\(494\) | −7.13017 | + | 16.2610i | −0.320802 | + | 0.731619i | ||||
\(495\) | 8.18375 | + | 12.7342i | 0.367832 | + | 0.572358i | ||||
\(496\) | −32.9145 | − | 2.70972i | −1.47790 | − | 0.121670i | ||||
\(497\) | −11.3145 | − | 38.5337i | −0.507525 | − | 1.72847i | ||||
\(498\) | −52.7270 | + | 25.0528i | −2.36275 | + | 1.12264i | ||||
\(499\) | 9.34048 | − | 10.7795i | 0.418137 | − | 0.482556i | −0.507131 | − | 0.861869i | \(-0.669294\pi\) |
0.925269 | + | 0.379313i | \(0.123840\pi\) | |||||||
\(500\) | −1.35496 | − | 1.47109i | −0.0605954 | − | 0.0657890i | ||||
\(501\) | 0.135493 | − | 0.461447i | 0.00605339 | − | 0.0206159i | ||||
\(502\) | −9.99870 | + | 16.0896i | −0.446264 | + | 0.718115i | ||||
\(503\) | 0.453070 | + | 3.15117i | 0.0202014 | + | 0.140504i | 0.997426 | − | 0.0717040i | \(-0.0228437\pi\) |
−0.977225 | + | 0.212208i | \(0.931935\pi\) | |||||||
\(504\) | 23.4925 | − | 58.3253i | 1.04644 | − | 2.59801i | ||||
\(505\) | − | 2.89916i | − | 0.129011i | ||||||
\(506\) | −5.95685 | + | 17.3178i | −0.264814 | + | 0.769871i | ||||
\(507\) | 21.4271 | 0.951613 | ||||||||
\(508\) | −4.49316 | − | 6.54615i | −0.199352 | − | 0.290438i | ||||
\(509\) | 22.4461 | − | 3.22727i | 0.994908 | − | 0.143046i | 0.374418 | − | 0.927260i | \(-0.377843\pi\) |
0.620490 | + | 0.784214i | \(0.286934\pi\) | |||||||
\(510\) | −15.6678 | + | 25.2122i | −0.693783 | + | 1.11641i | ||||
\(511\) | 16.5321 | + | 4.85427i | 0.731339 | + | 0.214740i | ||||
\(512\) | −22.4170 | + | 3.07867i | −0.990701 | + | 0.136059i | ||||
\(513\) | 30.3931 | + | 26.3357i | 1.34189 | + | 1.16275i | ||||
\(514\) | 8.60483 | + | 18.1100i | 0.379543 | + | 0.798799i | ||||
\(515\) | 10.8461 | − | 3.18471i | 0.477937 | − | 0.140335i | ||||
\(516\) | −8.31430 | − | 25.4356i | −0.366017 | − | 1.11974i | ||||
\(517\) | −6.42582 | + | 4.12962i | −0.282607 | + | 0.181621i | ||||
\(518\) | 5.44251 | − | 12.4122i | 0.239130 | − | 0.545360i | ||||
\(519\) | 0.652233 | − | 0.565163i | 0.0286299 | − | 0.0248079i | ||||
\(520\) | 6.00646 | − | 3.08055i | 0.263401 | − | 0.135091i | ||||
\(521\) | 18.1624 | + | 2.61136i | 0.795710 | + | 0.114406i | 0.528167 | − | 0.849140i | \(-0.322879\pi\) |
0.267543 | + | 0.963546i | \(0.413788\pi\) | |||||||
\(522\) | −29.2540 | − | 3.75424i | −1.28041 | − | 0.164319i | ||||
\(523\) | 28.2381 | + | 12.8959i | 1.23477 | + | 0.563899i | 0.922464 | − | 0.386083i | \(-0.126172\pi\) |
0.312304 | + | 0.949982i | \(0.398899\pi\) | |||||||
\(524\) | −5.62786 | + | 6.90749i | −0.245854 | + | 0.301755i | ||||
\(525\) | −4.83274 | − | 10.5822i | −0.210918 | − | 0.461846i | ||||
\(526\) | 1.64147 | + | 1.83731i | 0.0715716 | + | 0.0801104i | ||||
\(527\) | 49.6968 | + | 31.9382i | 2.16483 | + | 1.39125i | ||||
\(528\) | 22.6441 | − | 22.1628i | 0.985459 | − | 0.964513i | ||||
\(529\) | −6.01326 | + | 22.2000i | −0.261446 | + | 0.965218i | ||||
\(530\) | 12.1224 | − | 8.05295i | 0.526565 | − | 0.349798i | ||||
\(531\) | −3.77542 | − | 2.42631i | −0.163839 | − | 0.105293i | ||||
\(532\) | 10.5355 | − | 40.3715i | 0.456770 | − | 1.75033i | ||||
\(533\) | 17.5799 | − | 8.02849i | 0.761472 | − | 0.347753i | ||||
\(534\) | −21.2110 | − | 68.3844i | −0.917892 | − | 2.95928i | ||||
\(535\) | −7.33226 | − | 3.34853i | −0.317001 | − | 0.144770i | ||||
\(536\) | 23.0648 | − | 39.7558i | 0.996247 | − | 1.71719i | ||||
\(537\) | 6.57115 | − | 45.7034i | 0.283566 | − | 1.97225i | ||||
\(538\) | 7.01451 | + | 5.89427i | 0.302417 | + | 0.254120i | ||||
\(539\) | 17.8075 | − | 15.4303i | 0.767023 | − | 0.664629i | ||||
\(540\) | −2.63382 | − | 15.0608i | −0.113342 | − | 0.648112i | ||||
\(541\) | −22.0135 | − | 34.2536i | −0.946433 | − | 1.47268i | −0.880048 | − | 0.474884i | \(-0.842490\pi\) |
−0.0663844 | − | 0.997794i | \(-0.521146\pi\) | |||||||
\(542\) | 7.25717 | − | 26.1778i | 0.311722 | − | 1.12443i | ||||
\(543\) | 21.8669 | − | 6.42069i | 0.938397 | − | 0.275538i | ||||
\(544\) | 37.9849 | + | 13.9765i | 1.62859 | + | 0.599239i | ||||
\(545\) | −0.849490 | + | 0.980364i | −0.0363881 | + | 0.0419942i | ||||
\(546\) | 38.7763 | − | 6.17674i | 1.65947 | − | 0.264340i | ||||
\(547\) | −21.8908 | − | 6.42773i | −0.935985 | − | 0.274830i | −0.222044 | − | 0.975037i | \(-0.571273\pi\) |
−0.713940 | + | 0.700207i | \(0.753091\pi\) | |||||||
\(548\) | −0.0230852 | − | 0.760914i | −0.000986152 | − | 0.0325046i | ||||
\(549\) | −3.04624 | − | 21.1871i | −0.130010 | − | 0.904242i | ||||
\(550\) | −0.0579069 | − | 3.81823i | −0.00246916 | − | 0.162810i | ||||
\(551\) | −19.5708 | −0.833745 | ||||||||
\(552\) | 26.5179 | − | 29.6696i | 1.12868 | − | 1.26282i | ||||
\(553\) | −34.5661 | −1.46990 | ||||||||
\(554\) | 0.518674 | + | 34.2000i | 0.0220364 | + | 1.45302i | ||||
\(555\) | −1.00892 | − | 7.01717i | −0.0428261 | − | 0.297862i | ||||
\(556\) | 15.1806 | − | 0.460560i | 0.643799 | − | 0.0195321i | ||||
\(557\) | 35.3582 | + | 10.3821i | 1.49818 | + | 0.439904i | 0.925140 | − | 0.379626i | \(-0.123947\pi\) |
0.573036 | + | 0.819530i | \(0.305765\pi\) | |||||||
\(558\) | −64.6419 | + | 10.2969i | −2.73651 | + | 0.435903i | ||||
\(559\) | 7.12832 | − | 8.22653i | 0.301496 | − | 0.347945i | ||||
\(560\) | −12.8000 | + | 9.36912i | −0.540898 | + | 0.395918i | ||||
\(561\) | −54.3807 | + | 15.9676i | −2.29596 | + | 0.674154i | ||||
\(562\) | −2.67566 | + | 9.65155i | −0.112866 | + | 0.407126i | ||||
\(563\) | 15.6775 | + | 24.3947i | 0.660728 | + | 1.02811i | 0.996287 | + | 0.0860933i | \(0.0274383\pi\) |
−0.335559 | + | 0.942019i | \(0.608925\pi\) | |||||||
\(564\) | 16.3490 | − | 2.85912i | 0.688418 | − | 0.120390i | ||||
\(565\) | −12.9759 | + | 11.2437i | −0.545900 | + | 0.473025i | ||||
\(566\) | −13.3700 | − | 11.2347i | −0.561982 | − | 0.472231i | ||||
\(567\) | 3.16527 | − | 22.0150i | 0.132929 | − | 0.924542i | ||||
\(568\) | −14.3741 | + | 24.7761i | −0.603125 | + | 1.03958i | ||||
\(569\) | −1.81120 | − | 0.827150i | −0.0759297 | − | 0.0346759i | 0.377088 | − | 0.926177i | \(-0.376925\pi\) |
−0.453018 | + | 0.891501i | \(0.649653\pi\) | |||||||
\(570\) | −6.46562 | − | 20.8452i | −0.270815 | − | 0.873108i | ||||
\(571\) | 33.2637 | − | 15.1910i | 1.39204 | − | 0.635725i | 0.428565 | − | 0.903511i | \(-0.359019\pi\) |
0.963479 | + | 0.267786i | \(0.0862919\pi\) | |||||||
\(572\) | 12.4710 | + | 3.25448i | 0.521440 | + | 0.136077i | ||||
\(573\) | 6.74940 | + | 4.33758i | 0.281960 | + | 0.181205i | ||||
\(574\) | −37.8287 | + | 25.1296i | −1.57894 | + | 1.04889i | ||||
\(575\) | −0.392528 | − | 4.77974i | −0.0163696 | − | 0.199329i | ||||
\(576\) | −41.7046 | + | 16.4926i | −1.73769 | + | 0.687191i | ||||
\(577\) | 22.7831 | + | 14.6418i | 0.948471 | + | 0.609545i | 0.920785 | − | 0.390071i | \(-0.127550\pi\) |
0.0276862 | + | 0.999617i | \(0.491186\pi\) | |||||||
\(578\) | −32.2177 | − | 36.0614i | −1.34008 | − | 1.49996i | ||||
\(579\) | −2.49870 | − | 5.47138i | −0.103842 | − | 0.227383i | ||||
\(580\) | 5.76831 | + | 4.69971i | 0.239516 | + | 0.195145i | ||||
\(581\) | 50.7575 | + | 23.1802i | 2.10578 | + | 0.961676i | ||||
\(582\) | −35.4443 | − | 4.54865i | −1.46921 | − | 0.188548i | ||||
\(583\) | 27.5046 | + | 3.95456i | 1.13912 | + | 0.163781i | ||||
\(584\) | −5.60817 | − | 10.9348i | −0.232068 | − | 0.452486i | ||||
\(585\) | 10.1113 | − | 8.76147i | 0.418050 | − | 0.362242i | ||||
\(586\) | 1.74293 | − | 3.97492i | 0.0719998 | − | 0.164202i | ||||
\(587\) | 9.32193 | − | 5.99084i | 0.384757 | − | 0.247268i | −0.333936 | − | 0.942596i | \(-0.608377\pi\) |
0.718693 | + | 0.695327i | \(0.244741\pi\) | |||||||
\(588\) | −48.6645 | + | 15.9073i | −2.00689 | + | 0.656006i | ||||
\(589\) | −41.6748 | + | 12.2368i | −1.71718 | + | 0.504210i | ||||
\(590\) | 0.485878 | + | 1.02260i | 0.0200033 | + | 0.0420996i | ||||
\(591\) | 0.348384 | + | 0.301876i | 0.0143306 | + | 0.0124175i | ||||
\(592\) | −9.09273 | + | 3.28060i | −0.373709 | + | 0.134832i | ||||
\(593\) | −11.2692 | − | 3.30894i | −0.462772 | − | 0.135882i | 0.0420319 | − | 0.999116i | \(-0.486617\pi\) |
−0.504804 | + | 0.863234i | \(0.668435\pi\) | |||||||
\(594\) | 15.4084 | − | 24.7947i | 0.632214 | − | 1.01734i | ||||
\(595\) | 28.0852 | − | 4.03804i | 1.15138 | − | 0.165544i | ||||
\(596\) | 24.6174 | − | 16.8969i | 1.00837 | − | 0.692125i | ||||
\(597\) | −54.0566 | −2.21239 | ||||||||
\(598\) | 15.9001 | + | 3.03309i | 0.650202 | + | 0.124032i | ||||
\(599\) | 7.73638i | 0.316100i | 0.987431 | + | 0.158050i | \(0.0505207\pi\) | ||||
−0.987431 | + | 0.158050i | \(0.949479\pi\) | |||||||
\(600\) | −3.10006 | + | 7.69656i | −0.126559 | + | 0.314211i | ||||
\(601\) | 0.791496 | + | 5.50498i | 0.0322858 | + | 0.224553i | 0.999576 | − | 0.0291200i | \(-0.00927048\pi\) |
−0.967290 | + | 0.253673i | \(0.918361\pi\) | |||||||
\(602\) | −13.5012 | + | 21.7257i | −0.550267 | + | 0.885473i | ||||
\(603\) | 25.6648 | − | 87.4063i | 1.04515 | − | 3.55946i | ||||
\(604\) | 22.9991 | − | 21.1835i | 0.935821 | − | 0.861944i | ||||
\(605\) | −2.42880 | + | 2.80299i | −0.0987449 | + | 0.113958i | ||||
\(606\) | −10.8638 | + | 5.16185i | −0.441313 | + | 0.209686i | ||||
\(607\) | 4.00465 | + | 13.6386i | 0.162544 | + | 0.553573i | 0.999975 | + | 0.00703109i | \(0.00223808\pi\) |
−0.837431 | + | 0.546542i | \(0.815944\pi\) | |||||||
\(608\) | −26.0552 | + | 14.3772i | −1.05668 | + | 0.583073i | ||||
\(609\) | 23.3986 | + | 36.4090i | 0.948161 | + | 1.47537i | ||||
\(610\) | −2.16844 | + | 4.94534i | −0.0877976 | + | 0.200231i | ||||
\(611\) | 4.42115 | + | 5.10228i | 0.178861 | + | 0.206416i | ||||
\(612\) | 79.7134 | + | 9.00338i | 3.22223 | + | 0.363940i | ||||
\(613\) | 4.44807 | − | 30.9370i | 0.179656 | − | 1.24953i | −0.677905 | − | 0.735150i | \(-0.737112\pi\) |
0.857560 | − | 0.514383i | \(-0.171979\pi\) | |||||||
\(614\) | −4.24806 | + | 33.1020i | −0.171438 | + | 1.33589i | ||||
\(615\) | −9.86849 | + | 21.6090i | −0.397936 | + | 0.871358i | ||||
\(616\) | −30.1436 | − | 2.94243i | −1.21452 | − | 0.118554i | ||||
\(617\) | 6.32033 | − | 2.88640i | 0.254447 | − | 0.116202i | −0.284108 | − | 0.958792i | \(-0.591698\pi\) |
0.538555 | + | 0.842590i | \(0.318970\pi\) | |||||||
\(618\) | −31.2450 | − | 34.9727i | −1.25686 | − | 1.40681i | ||||
\(619\) | 4.44057 | − | 6.90965i | 0.178481 | − | 0.277722i | −0.740473 | − | 0.672086i | \(-0.765399\pi\) |
0.918955 | + | 0.394363i | \(0.129035\pi\) | |||||||
\(620\) | 15.2218 | + | 6.40106i | 0.611322 | + | 0.257073i | ||||
\(621\) | 17.2304 | − | 32.3613i | 0.691431 | − | 1.29862i | ||||
\(622\) | 0.486893 | + | 0.732940i | 0.0195226 | + | 0.0293882i | ||||
\(623\) | −37.0008 | + | 57.5744i | −1.48241 | + | 2.30667i | ||||
\(624\) | −22.2378 | − | 17.0228i | −0.890226 | − | 0.681457i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 1.14852 | + | 3.70283i | 0.0459041 | + | 0.147995i | ||||
\(627\) | 17.3107 | − | 37.9053i | 0.691325 | − | 1.51379i | ||||
\(628\) | −18.3954 | − | 37.2477i | −0.734056 | − | 1.48635i | ||||
\(629\) | 17.1148 | + | 2.46074i | 0.682411 | + | 0.0981159i | ||||
\(630\) | −20.2257 | + | 24.0698i | −0.805813 | + | 0.958963i | ||||
\(631\) | −1.95427 | − | 2.25535i | −0.0777983 | − | 0.0897840i | 0.715516 | − | 0.698596i | \(-0.246192\pi\) |
−0.793314 | + | 0.608812i | \(0.791646\pi\) | |||||||
\(632\) | 16.9754 | + | 17.8785i | 0.675246 | + | 0.711170i | ||||
\(633\) | −29.0987 | + | 18.7006i | −1.15657 | + | 0.743282i | ||||
\(634\) | 0.258151 | − | 0.931192i | 0.0102525 | − | 0.0369823i | ||||
\(635\) | 1.11845 | + | 3.80910i | 0.0443844 | + | 0.151159i | ||||
\(636\) | −51.7599 | − | 31.0876i | −2.05241 | − | 1.23270i | ||||
\(637\) | −15.7394 | − | 13.6382i | −0.623616 | − | 0.540367i | ||||
\(638\) | 2.23478 | + | 14.0295i | 0.0884757 | + | 0.555432i | ||||
\(639\) | −15.9945 | + | 54.4721i | −0.632731 | + | 2.15488i | ||||
\(640\) | 11.1320 | + | 2.01932i | 0.440033 | + | 0.0798207i | ||||
\(641\) | −21.3177 | + | 3.06502i | −0.841998 | + | 0.121061i | −0.549799 | − | 0.835297i | \(-0.685296\pi\) |
−0.292198 | + | 0.956358i | \(0.594387\pi\) | |||||||
\(642\) | 0.507112 | + | 33.4376i | 0.0200141 | + | 1.31968i | ||||
\(643\) | − | 13.8501i | − | 0.546194i | −0.961987 | − | 0.273097i | \(-0.911952\pi\) | ||
0.961987 | − | 0.273097i | \(-0.0880480\pi\) | |||||||
\(644\) | −38.0193 | − | 1.16112i | −1.49817 | − | 0.0457544i | ||||
\(645\) | 13.3800i | 0.526836i | ||||||||
\(646\) | 53.2244 | − | 0.807197i | 2.09409 | − | 0.0317588i | ||||
\(647\) | 36.7399 | − | 5.28240i | 1.44439 | − | 0.207673i | 0.624875 | − | 0.780725i | \(-0.285150\pi\) |
0.819519 | + | 0.573052i | \(0.194241\pi\) | |||||||
\(648\) | −12.9412 | + | 9.17439i | −0.508379 | + | 0.360404i | ||||
\(649\) | −0.609012 | + | 2.07410i | −0.0239058 | + | 0.0814157i | ||||
\(650\) | −3.33316 | + | 0.530944i | −0.130737 | + | 0.0208253i | ||||
\(651\) | 72.5910 | + | 62.9005i | 2.84507 | + | 2.46526i | ||||
\(652\) | −10.6353 | − | 6.38769i | −0.416511 | − | 0.250161i | ||||
\(653\) | 6.47854 | + | 22.0639i | 0.253525 | + | 0.863426i | 0.983647 | + | 0.180109i | \(0.0576450\pi\) |
−0.730122 | + | 0.683317i | \(0.760537\pi\) | |||||||
\(654\) | 5.18614 | + | 1.43773i | 0.202794 | + | 0.0562198i | ||||
\(655\) | 3.74774 | − | 2.40852i | 0.146436 | − | 0.0941089i | ||||
\(656\) | 31.5754 | + | 7.22485i | 1.23281 | + | 0.282083i | ||||
\(657\) | −15.9503 | − | 18.4077i | −0.622282 | − | 0.718152i | ||||
\(658\) | −12.1459 | − | 10.2062i | −0.473497 | − | 0.397878i | ||||
\(659\) | −3.08735 | − | 0.443894i | −0.120266 | − | 0.0172917i | 0.0819189 | − | 0.996639i | \(-0.473895\pi\) |
−0.202185 | + | 0.979347i | \(0.564804\pi\) | |||||||
\(660\) | −14.2047 | + | 7.01522i | −0.552917 | + | 0.273067i | ||||
\(661\) | 8.05791 | − | 17.6444i | 0.313416 | − | 0.686286i | −0.685719 | − | 0.727867i | \(-0.740512\pi\) |
0.999135 | + | 0.0415805i | \(0.0132393\pi\) | |||||||
\(662\) | −1.80200 | + | 0.558934i | −0.0700368 | + | 0.0217236i | ||||
\(663\) | 20.8099 | + | 45.5673i | 0.808190 | + | 1.76969i | ||||
\(664\) | −12.9376 | − | 37.6370i | −0.502076 | − | 1.46060i | ||||
\(665\) | −11.2787 | + | 17.5500i | −0.437370 | + | 0.680561i | ||||
\(666\) | −15.9585 | + | 10.6012i | −0.618379 | + | 0.410790i | ||||
\(667\) | 3.97605 | + | 17.3930i | 0.153953 | + | 0.673458i | ||||
\(668\) | 0.302241 | + | 0.127098i | 0.0116941 | + | 0.00491758i | ||||
\(669\) | 24.7733 | − | 38.5480i | 0.957791 | − | 1.49035i | ||||
\(670\) | −17.1377 | + | 15.3110i | −0.662087 | + | 0.591516i | ||||
\(671\) | −9.37844 | + | 4.28299i | −0.362050 | + | 0.165343i | ||||
\(672\) | 57.8982 | + | 31.2831i | 2.23347 | + | 1.20677i | ||||
\(673\) | −2.15050 | + | 4.70894i | −0.0828958 | + | 0.181516i | −0.946541 | − | 0.322584i | \(-0.895449\pi\) |
0.863645 | + | 0.504100i | \(0.168176\pi\) | |||||||
\(674\) | −15.1800 | − | 1.94809i | −0.584712 | − | 0.0750376i | ||||
\(675\) | −1.08795 | + | 7.56685i | −0.0418752 | + | 0.291248i | ||||
\(676\) | −1.63952 | + | 14.5159i | −0.0630585 | + | 0.558303i | ||||
\(677\) | −23.8746 | − | 27.5527i | −0.917575 | − | 1.05894i | −0.998065 | − | 0.0621825i | \(-0.980194\pi\) |
0.0804899 | − | 0.996755i | \(-0.474352\pi\) | |||||||
\(678\) | 65.2358 | + | 28.6047i | 2.50537 | + | 1.09856i | ||||
\(679\) | 18.4672 | + | 28.7355i | 0.708706 | + | 1.10277i | ||||
\(680\) | −15.8812 | − | 12.5433i | −0.609017 | − | 0.481015i | ||||
\(681\) | 5.72890 | + | 19.5109i | 0.219532 | + | 0.747657i | ||||
\(682\) | 13.5309 | + | 28.4776i | 0.518124 | + | 1.09046i | ||||
\(683\) | −28.1117 | + | 32.4426i | −1.07566 | + | 1.24138i | −0.106670 | + | 0.994294i | \(0.534019\pi\) |
−0.968993 | + | 0.247087i | \(0.920527\pi\) | |||||||
\(684\) | −43.3833 | + | 39.9585i | −1.65880 | + | 1.52785i | ||||
\(685\) | −0.107236 | + | 0.365214i | −0.00409729 | + | 0.0139541i | ||||
\(686\) | 8.22282 | + | 5.10997i | 0.313949 | + | 0.195100i | ||||
\(687\) | −5.60663 | − | 38.9950i | −0.213906 | − | 1.48775i | ||||
\(688\) | 17.8676 | − | 3.68632i | 0.681194 | − | 0.140539i | ||||
\(689\) | − | 24.5603i | − | 0.935671i | ||||||
\(690\) | −17.2119 | + | 9.98106i | −0.655247 | + | 0.379973i | ||||
\(691\) | 41.1915 | 1.56700 | 0.783499 | − | 0.621394i | \(-0.213433\pi\) | ||||
0.783499 | + | 0.621394i | \(0.213433\pi\) | |||||||
\(692\) | 0.332965 | + | 0.485101i | 0.0126574 | + | 0.0184408i | ||||
\(693\) | −59.4173 | + | 8.54292i | −2.25708 | + | 0.324519i | ||||
\(694\) | 38.7427 | + | 24.0762i | 1.47065 | + | 0.913920i | ||||
\(695\) | −7.28617 | − | 2.13941i | −0.276380 | − | 0.0811526i | ||||
\(696\) | 7.34065 | − | 29.9829i | 0.278247 | − | 1.13650i | ||||
\(697\) | −43.7881 | − | 37.9426i | −1.65859 | − | 1.43718i | ||||
\(698\) | 12.5965 | − | 5.98513i | 0.476786 | − | 0.226541i | ||||
\(699\) | −68.0591 | + | 19.9840i | −2.57423 | + | 0.755863i | ||||
\(700\) | 7.53873 | − | 2.46424i | 0.284937 | − | 0.0931395i | ||||
\(701\) | −33.5137 | + | 21.5380i | −1.26580 | + | 0.813477i | −0.989066 | − | 0.147471i | \(-0.952887\pi\) |
−0.276729 | + | 0.960948i | \(0.589250\pi\) | |||||||
\(702\) | −23.6303 | − | 10.3614i | −0.891867 | − | 0.391067i | ||||
\(703\) | −9.60778 | + | 8.32519i | −0.362364 | + | 0.313990i | ||||
\(704\) | 13.2816 | + | 17.0361i | 0.500570 | + | 0.642073i | ||||
\(705\) | −8.21410 | − | 1.18101i | −0.309361 | − | 0.0444794i | ||||
\(706\) | −3.02334 | + | 23.5586i | −0.113785 | + | 0.886640i | ||||
\(707\) | 10.4580 | + | 4.77602i | 0.393315 | + | 0.179621i | ||||
\(708\) | 2.96682 | − | 3.64140i | 0.111500 | − | 0.136852i | ||||
\(709\) | −2.59606 | − | 5.68457i | −0.0974969 | − | 0.213488i | 0.854599 | − | 0.519289i | \(-0.173803\pi\) |
−0.952096 | + | 0.305801i | \(0.901076\pi\) | |||||||
\(710\) | 10.6803 | − | 9.54192i | 0.400825 | − | 0.358102i | ||||
\(711\) | 41.1065 | + | 26.4176i | 1.54162 | + | 0.990736i | ||||
\(712\) | 47.9502 | − | 9.13697i | 1.79701 | − | 0.342422i | ||||
\(713\) | 19.3419 | + | 34.5512i | 0.724358 | + | 1.29395i | ||||
\(714\) | −65.1362 | − | 98.0522i | −2.43766 | − | 3.66951i | ||||
\(715\) | −5.42133 | − | 3.48407i | −0.202746 | − | 0.130297i | ||||
\(716\) | 30.4591 | + | 7.94869i | 1.13831 | + | 0.297056i | ||||
\(717\) | 34.6869 | − | 15.8410i | 1.29540 | − | 0.591591i | ||||
\(718\) | −18.3661 | + | 5.69667i | −0.685416 | + | 0.212598i | ||||
\(719\) | −20.9320 | − | 9.55935i | −0.780634 | − | 0.356503i | −0.0150889 | − | 0.999886i | \(-0.504803\pi\) |
−0.765545 | + | 0.643383i | \(0.777530\pi\) | |||||||
\(720\) | 22.3824 | − | 1.35936i | 0.834143 | − | 0.0506604i | ||||
\(721\) | −6.37963 | + | 44.3713i | −0.237590 | + | 1.65247i | ||||
\(722\) | −7.89186 | + | 9.39176i | −0.293705 | + | 0.349525i | ||||
\(723\) | −31.0789 | + | 26.9300i | −1.15584 | + | 1.00154i | ||||
\(724\) | 2.67655 | + | 15.3050i | 0.0994730 | + | 0.568808i | ||||
\(725\) | −2.01131 | − | 3.12966i | −0.0746983 | − | 0.116233i | ||||
\(726\) | 14.8279 | + | 4.11067i | 0.550314 | + | 0.152561i | ||||
\(727\) | 39.0875 | − | 11.4771i | 1.44968 | − | 0.425663i | 0.540242 | − | 0.841510i | \(-0.318333\pi\) |
0.909435 | + | 0.415847i | \(0.136515\pi\) | |||||||
\(728\) | 1.21744 | + | 26.7417i | 0.0451212 | + | 0.991115i | ||||
\(729\) | 23.4688 | − | 27.0845i | 0.869216 | − | 1.00313i | ||||
\(730\) | 0.966588 | + | 6.06804i | 0.0357750 | + | 0.224588i | ||||
\(731\) | −31.3117 | − | 9.19394i | −1.15810 | − | 0.340050i | ||||
\(732\) | 22.3922 | − | 0.679352i | 0.827639 | − | 0.0251096i | ||||
\(733\) | 5.37159 | + | 37.3602i | 0.198404 | + | 1.37993i | 0.808916 | + | 0.587924i | \(0.200055\pi\) |
−0.610512 | + | 0.792007i | \(0.709036\pi\) | |||||||
\(734\) | 40.6014 | − | 0.615757i | 1.49862 | − | 0.0227280i | ||||
\(735\) | 25.5992 | 0.944240 | ||||||||
\(736\) | 18.0707 | + | 20.2348i | 0.666096 | + | 0.745866i | ||||
\(737\) | −43.8785 | −1.61628 | ||||||||
\(738\) | 64.1921 | − | 0.973531i | 2.36294 | − | 0.0358362i | ||||
\(739\) | 3.49281 | + | 24.2930i | 0.128485 | + | 0.893633i | 0.947476 | + | 0.319827i | \(0.103625\pi\) |
−0.818991 | + | 0.573806i | \(0.805466\pi\) | |||||||
\(740\) | 4.83100 | − | 0.146567i | 0.177591 | − | 0.00538790i | ||||
\(741\) | −35.3395 | − | 10.3766i | −1.29823 | − | 0.381194i | ||||
\(742\) | 9.07884 | + | 56.9951i | 0.333295 | + | 2.09236i | ||||
\(743\) | −4.37107 | + | 5.04448i | −0.160359 | + | 0.185064i | −0.830243 | − | 0.557402i | \(-0.811798\pi\) |
0.669884 | + | 0.742466i | \(0.266344\pi\) | |||||||
\(744\) | −3.11562 | − | 68.4365i | −0.114224 | − | 2.50900i | ||||
\(745\) | −14.3244 | + | 4.20603i | −0.524807 | + | 0.154097i | ||||
\(746\) | 23.5564 | + | 6.53046i | 0.862463 | + | 0.239097i | ||||
\(747\) | −42.6459 | − | 66.3583i | −1.56033 | − | 2.42792i | ||||
\(748\) | −6.65631 | − | 38.0621i | −0.243379 | − | 1.39169i | ||||
\(749\) | 24.1581 | − | 20.9331i | 0.882717 | − | 0.764879i | ||||
\(750\) | 2.66897 | − | 3.17623i | 0.0974571 | − | 0.115979i | ||||
\(751\) | 3.13224 | − | 21.7852i | 0.114297 | − | 0.794954i | −0.849360 | − | 0.527813i | \(-0.823012\pi\) |
0.963658 | − | 0.267141i | \(-0.0860789\pi\) | |||||||
\(752\) | 0.685952 | + | 11.2945i | 0.0250141 | + | 0.411866i | ||||
\(753\) | −35.7442 | − | 16.3238i | −1.30259 | − | 0.594873i | ||||
\(754\) | 11.9928 | − | 3.71985i | 0.436752 | − | 0.135469i | ||||
\(755\) | −14.2213 | + | 6.49464i | −0.517565 | + | 0.236364i | ||||
\(756\) | 58.6671 | + | 15.3099i | 2.13370 | + | 0.556817i | ||||
\(757\) | 6.11457 | + | 3.92959i | 0.222238 | + | 0.142823i | 0.647023 | − | 0.762471i | \(-0.276014\pi\) |
−0.424785 | + | 0.905294i | \(0.639650\pi\) | |||||||
\(758\) | −3.45057 | − | 5.19428i | −0.125330 | − | 0.188665i | ||||
\(759\) | −37.2040 | − | 7.68349i | −1.35042 | − | 0.278893i | ||||
\(760\) | 14.6163 | − | 2.78516i | 0.530190 | − | 0.101028i | ||||
\(761\) | −25.1922 | − | 16.1901i | −0.913218 | − | 0.586890i | −0.00253575 | − | 0.999997i | \(-0.500807\pi\) |
−0.910682 | + | 0.413107i | \(0.864444\pi\) | |||||||
\(762\) | 12.2822 | − | 10.9731i | 0.444938 | − | 0.397512i | ||||
\(763\) | −2.13700 | − | 4.67937i | −0.0773645 | − | 0.169405i | ||||
\(764\) | −3.45494 | + | 4.24051i | −0.124995 | + | 0.153416i | ||||
\(765\) | −36.4855 | − | 16.6624i | −1.31913 | − | 0.602429i | ||||
\(766\) | 0.802436 | − | 6.25279i | 0.0289932 | − | 0.225922i | ||||
\(767\) | 1.89117 | + | 0.271909i | 0.0682862 | + | 0.00981807i | ||||
\(768\) | −12.2534 | − | 45.3097i | −0.442155 | − | 1.63497i | ||||
\(769\) | −11.8041 | + | 10.2283i | −0.425665 | + | 0.368841i | −0.841189 | − | 0.540741i | \(-0.818144\pi\) |
0.415524 | + | 0.909582i | \(0.363598\pi\) | |||||||
\(770\) | 13.8688 | + | 6.08120i | 0.499796 | + | 0.219151i | ||||
\(771\) | −34.9891 | + | 22.4861i | −1.26010 | + | 0.809817i | ||||
\(772\) | 3.89779 | − | 1.27410i | 0.140285 | − | 0.0458558i | ||||
\(773\) | 5.77655 | − | 1.69615i | 0.207768 | − | 0.0610062i | −0.176192 | − | 0.984356i | \(-0.556378\pi\) |
0.383960 | + | 0.923350i | \(0.374560\pi\) | |||||||
\(774\) | 32.6600 | − | 15.5181i | 1.17394 | − | 0.557787i | ||||
\(775\) | −6.23982 | − | 5.40683i | −0.224141 | − | 0.194219i | ||||
\(776\) | 5.79355 | − | 23.6638i | 0.207976 | − | 0.849479i | ||||
\(777\) | 26.9749 | + | 7.92054i | 0.967719 | + | 0.284148i | ||||
\(778\) | 5.73858 | + | 3.56617i | 0.205738 | + | 0.127853i | ||||
\(779\) | 42.1663 | − | 6.06259i | 1.51076 | − | 0.217215i | ||||
\(780\) | 7.92414 | + | 11.5448i | 0.283730 | + | 0.413370i | ||||
\(781\) | 27.3453 | 0.978493 | ||||||||
\(782\) | −11.5306 | − | 47.1376i | −0.412332 | − | 1.68564i | ||||
\(783\) | − | 28.4400i | − | 1.01636i | ||||||
\(784\) | −7.05283 | − | 34.1850i | −0.251887 | − | 1.22089i | ||||
\(785\) | 2.95606 | + | 20.5598i | 0.105506 | + | 0.733812i | ||||
\(786\) | −15.6980 | − | 9.75535i | −0.559930 | − | 0.347962i | ||||
\(787\) | −3.50001 | + | 11.9200i | −0.124762 | + | 0.424900i | −0.998058 | − | 0.0622894i | \(-0.980160\pi\) |
0.873296 | + | 0.487190i | \(0.161978\pi\) | |||||||
\(788\) | −0.231164 | + | 0.212915i | −0.00823487 | + | 0.00758479i | ||||
\(789\) | −3.34681 | + | 3.86243i | −0.119150 | + | 0.137506i | ||||
\(790\) | −5.29021 | − | 11.1340i | −0.188217 | − | 0.396129i | ||||
\(791\) | −19.1827 | − | 65.3301i | −0.682057 | − | 2.32287i | ||||
\(792\) | 33.5985 | + | 26.5368i | 1.19387 | + | 0.942945i | ||||
\(793\) | 4.92672 | + | 7.66613i | 0.174953 | + | 0.272232i | ||||
\(794\) | 20.2059 | + | 8.85992i | 0.717080 | + | 0.314427i | ||||
\(795\) | 19.7696 | + | 22.8154i | 0.701157 | + | 0.809178i | ||||
\(796\) | 4.13620 | − | 36.6208i | 0.146604 | − | 1.29799i | ||||
\(797\) | −4.27810 | + | 29.7548i | −0.151538 | + | 1.05397i | 0.762105 | + | 0.647453i | \(0.224166\pi\) |
−0.913643 | + | 0.406517i | \(0.866743\pi\) | |||||||
\(798\) | 85.8454 | + | 11.0168i | 3.03890 | + | 0.389989i | ||||
\(799\) | 8.40804 | − | 18.4110i | 0.297455 | − | 0.651336i | ||||
\(800\) | −4.97685 | − | 2.68905i | −0.175958 | − | 0.0950723i | ||||
\(801\) | 88.0039 | − | 40.1901i | 3.10947 | − | 1.42005i | ||||
\(802\) | −16.0755 | + | 14.3621i | −0.567647 | + | 0.507143i | ||||
\(803\) | −6.34279 | + | 9.86957i | −0.223832 | + | 0.348290i | ||||
\(804\) | 87.8871 | + | 36.9582i | 3.09954 | + | 1.30342i | ||||
\(805\) | 17.8884 | + | 6.45811i | 0.630485 | + | 0.227619i | ||||
\(806\) | 23.2121 | − | 15.4198i | 0.817610 | − | 0.543140i | ||||
\(807\) | −10.2752 | + | 15.9886i | −0.361705 | + | 0.562825i | ||||
\(808\) | −2.66565 | − | 7.75469i | −0.0937773 | − | 0.272809i | ||||
\(809\) | −12.6170 | − | 27.6274i | −0.443591 | − | 0.971328i | −0.990925 | − | 0.134414i | \(-0.957085\pi\) |
0.547334 | − | 0.836914i | \(-0.315643\pi\) | |||||||
\(810\) | 7.57560 | − | 2.34975i | 0.266179 | − | 0.0825619i | ||||
\(811\) | 14.7235 | − | 32.2401i | 0.517014 | − | 1.13210i | −0.453544 | − | 0.891234i | \(-0.649841\pi\) |
0.970558 | − | 0.240868i | \(-0.0774322\pi\) | |||||||
\(812\) | −26.4557 | + | 13.0656i | −0.928415 | + | 0.458513i | ||||
\(813\) | 55.7766 | + | 8.01947i | 1.95617 | + | 0.281255i | ||||
\(814\) | 7.06508 | + | 5.93676i | 0.247631 | + | 0.208083i | ||||
\(815\) | 4.06214 | + | 4.68797i | 0.142291 | + | 0.164212i | ||||
\(816\) | −18.7269 | + | 81.8437i | −0.655571 | + | 2.86510i | ||||
\(817\) | 20.1847 | − | 12.9719i | 0.706173 | − | 0.453830i | ||||
\(818\) | 41.4909 | + | 11.5024i | 1.45070 | + | 0.402171i | ||||
\(819\) | 14.9478 | + | 50.9076i | 0.522319 | + | 1.77885i | ||||
\(820\) | −13.8840 | − | 8.33887i | −0.484849 | − | 0.291206i | ||||
\(821\) | 31.6509 | + | 27.4257i | 1.10463 | + | 0.957163i | 0.999305 | − | 0.0372753i | \(-0.0118678\pi\) |
0.105320 | + | 0.994438i | \(0.466413\pi\) | |||||||
\(822\) | 1.55947 | − | 0.248411i | 0.0543929 | − | 0.00866432i | ||||
\(823\) | −3.29630 | + | 11.2262i | −0.114902 | + | 0.391320i | −0.996783 | − | 0.0801528i | \(-0.974459\pi\) |
0.881881 | + | 0.471473i | \(0.156277\pi\) | |||||||
\(824\) | 26.0831 | − | 18.4910i | 0.908647 | − | 0.644166i | ||||
\(825\) | 7.84065 | − | 1.12732i | 0.272977 | − | 0.0392481i | ||||
\(826\) | −4.48921 | + | 0.0680829i | −0.156199 | + | 0.00236891i | ||||
\(827\) | 8.57638i | 0.298230i | 0.988820 | + | 0.149115i | \(0.0476425\pi\) | ||||
−0.988820 | + | 0.149115i | \(0.952358\pi\) | |||||||
\(828\) | 44.3257 | + | 30.4375i | 1.54043 | + | 1.05778i | ||||
\(829\) | − | 33.8755i | − | 1.17654i | −0.808663 | − | 0.588272i | \(-0.799808\pi\) | ||
0.808663 | − | 0.588272i | \(-0.200192\pi\) | |||||||
\(830\) | 0.301756 | + | 19.8970i | 0.0104741 | + | 0.690634i | ||||
\(831\) | −70.2290 | + | 10.0974i | −2.43622 | + | 0.350275i | ||||
\(832\) | 13.2337 | − | 13.7626i | 0.458795 | − | 0.477131i | ||||
\(833\) | −17.5903 | + | 59.9070i | −0.609467 | + | 2.07565i | ||||
\(834\) | 4.95590 | + | 31.1121i | 0.171609 | + | 1.07733i | ||||
\(835\) | −0.123897 | − | 0.107357i | −0.00428762 | − | 0.00371525i | ||||
\(836\) | 24.3545 | + | 14.6276i | 0.842317 | + | 0.505905i | ||||
\(837\) | −17.7824 | − | 60.5612i | −0.614648 | − | 2.09330i | ||||
\(838\) | 4.62189 | − | 16.6719i | 0.159660 | − | 0.575921i | ||||
\(839\) | 24.5724 | − | 15.7917i | 0.848334 | − | 0.545191i | −0.0427205 | − | 0.999087i | \(-0.513603\pi\) |
0.891055 | + | 0.453896i | \(0.149966\pi\) | |||||||
\(840\) | −22.6566 | − | 23.8619i | −0.781725 | − | 0.823314i | ||||
\(841\) | −9.92758 | − | 11.4570i | −0.342330 | − | 0.395070i | ||||
\(842\) | −33.3057 | + | 39.6357i | −1.14779 | + | 1.36594i | ||||
\(843\) | −20.5644 | − | 2.95671i | −0.708275 | − | 0.101835i | ||||
\(844\) | −10.4422 | − | 21.1439i | −0.359437 | − | 0.727802i | ||||
\(845\) | 3.03423 | − | 6.64403i | 0.104381 | − | 0.228562i | ||||
\(846\) | 6.64392 | + | 21.4200i | 0.228423 | + | 0.736435i | ||||
\(847\) | −6.10996 | − | 13.3789i | −0.209941 | − | 0.459706i | ||||
\(848\) | 25.0208 | − | 32.6861i | 0.859219 | − | 1.12245i | ||||
\(849\) | 19.5851 | − | 30.4749i | 0.672157 | − | 1.04590i | ||||
\(850\) | 5.59901 | + | 8.42842i | 0.192045 | + | 0.289092i | ||||
\(851\) | 9.35069 | + | 6.84725i | 0.320537 | + | 0.234721i | ||||
\(852\) | −54.7717 | − | 23.0326i | −1.87645 | − | 0.789083i | ||||
\(853\) | −0.546803 | + | 0.850842i | −0.0187222 | + | 0.0291323i | −0.850489 | − | 0.525994i | \(-0.823694\pi\) |
0.831766 | + | 0.555126i | \(0.187330\pi\) | |||||||
\(854\) | −14.2669 | − | 15.9690i | −0.488203 | − | 0.546449i | ||||
\(855\) | 26.8257 | − | 12.2509i | 0.917418 | − | 0.418971i | ||||
\(856\) | −22.6912 | − | 2.21497i | −0.775570 | − | 0.0757062i | ||||
\(857\) | 0.0750635 | − | 0.164366i | 0.00256412 | − | 0.00561464i | −0.908346 | − | 0.418220i | \(-0.862654\pi\) |
0.910910 | + | 0.412606i | \(0.135381\pi\) | |||||||
\(858\) | −3.40316 | + | 26.5183i | −0.116182 | + | 0.905318i | ||||
\(859\) | −6.23836 | + | 43.3888i | −0.212850 | + | 1.48041i | 0.550725 | + | 0.834687i | \(0.314351\pi\) |
−0.763575 | + | 0.645719i | \(0.776558\pi\) | |||||||
\(860\) | −9.06430 | − | 1.02378i | −0.309090 | − | 0.0349107i | ||||
\(861\) | −61.6922 | − | 71.1966i | −2.10246 | − | 2.42637i | ||||
\(862\) | −12.3913 | + | 28.2595i | −0.422048 | + | 0.962522i | ||||
\(863\) | −24.1786 | − | 37.6227i | −0.823050 | − | 1.28069i | −0.957112 | − | 0.289718i | \(-0.906439\pi\) |
0.134062 | − | 0.990973i | \(-0.457198\pi\) | |||||||
\(864\) | −20.8927 | − | 37.8630i | −0.710784 | − | 1.28812i | ||||
\(865\) | −0.0828827 | − | 0.282272i | −0.00281809 | − | 0.00959755i | ||||
\(866\) | −15.3074 | + | 7.27318i | −0.520166 | + | 0.247153i | ||||
\(867\) | 65.6889 | − | 75.8091i | 2.23091 | − | 2.57461i | ||||
\(868\) | −48.1665 | + | 44.3641i | −1.63488 | + | 1.50581i | ||||
\(869\) | 6.63089 | − | 22.5827i | 0.224937 | − | 0.766067i | ||||
\(870\) | −8.14651 | + | 13.1091i | −0.276192 | + | 0.444441i | ||||
\(871\) | 5.51933 | + | 38.3878i | 0.187015 | + | 1.30072i | ||||
\(872\) | −1.37082 | + | 3.40335i | −0.0464218 | + | 0.115252i | ||||
\(873\) | − | 48.2865i | − | 1.63425i | ||||||
\(874\) | 31.7442 | + | 16.2888i | 1.07376 | + | 0.550977i | ||||
\(875\) | −3.96563 | −0.134063 | ||||||||
\(876\) | 21.0174 | − | 14.4260i | 0.710112 | − | 0.487408i | ||||
\(877\) | −47.1899 | + | 6.78489i | −1.59349 | + | 0.229109i | −0.881189 | − | 0.472764i | \(-0.843256\pi\) |
−0.712302 | + | 0.701873i | \(0.752347\pi\) | |||||||
\(878\) | 23.1948 | − | 37.3244i | 0.782787 | − | 1.25964i | ||||
\(879\) | 8.63854 | + | 2.53650i | 0.291371 | + | 0.0855542i | ||||
\(880\) | −3.66559 | − | 10.1598i | −0.123567 | − | 0.342486i | ||||
\(881\) | 11.3449 | + | 9.83038i | 0.382218 | + | 0.331194i | 0.824686 | − | 0.565590i | \(-0.191352\pi\) |
−0.442468 | + | 0.896784i | \(0.645897\pi\) | |||||||
\(882\) | −29.6899 | − | 62.4865i | −0.999712 | − | 2.10403i | ||||
\(883\) | 7.36183 | − | 2.16163i | 0.247745 | − | 0.0727446i | −0.155502 | − | 0.987836i | \(-0.549700\pi\) |
0.403248 | + | 0.915091i | \(0.367881\pi\) | |||||||
\(884\) | −32.4620 | + | 10.6111i | −1.09182 | + | 0.356890i | ||||
\(885\) | −1.97568 | + | 1.26969i | −0.0664118 | + | 0.0426803i | ||||
\(886\) | −18.0778 | + | 41.2281i | −0.607335 | + | 1.38509i | ||||
\(887\) | −36.4077 | + | 31.5475i | −1.22245 | + | 1.05926i | −0.226084 | + | 0.974108i | \(0.572592\pi\) |
−0.996368 | + | 0.0851529i | \(0.972862\pi\) | |||||||
\(888\) | −9.15065 | − | 17.8419i | −0.307076 | − | 0.598736i | ||||
\(889\) | −15.5829 | − | 2.24049i | −0.522635 | − | 0.0751436i | ||||
\(890\) | −24.2079 | − | 3.10667i | −0.811452 | − | 0.104136i | ||||
\(891\) | 13.7756 | + | 6.29111i | 0.461501 | + | 0.210760i | ||||
\(892\) | 24.2189 | + | 19.7323i | 0.810908 | + | 0.660685i | ||||
\(893\) | 6.18195 | + | 13.5366i | 0.206871 | + | 0.452984i | ||||
\(894\) | 41.2652 | + | 46.1883i | 1.38011 | + | 1.54477i | ||||
\(895\) | −13.2410 | − | 8.50945i | −0.442597 | − | 0.284440i | ||||
\(896\) | −25.6230 | + | 36.8296i | −0.856004 | + | 1.23039i | ||||
\(897\) | −2.04225 | + | 33.5150i | −0.0681888 | + | 1.11903i | ||||
\(898\) | 33.9695 | − | 22.5660i | 1.13358 | − | 0.753038i | ||||
\(899\) | 25.8399 | + | 16.6063i | 0.861810 | + | 0.553852i | ||||
\(900\) | −10.8485 | − | 2.83106i | −0.361617 | − | 0.0943686i | ||||
\(901\) | −66.9769 | + | 30.5873i | −2.23132 | + | 1.01901i | ||||
\(902\) | −9.16095 | − | 29.5349i | −0.305026 | − | 0.983405i | ||||
\(903\) | −48.2651 | − | 22.0420i | −1.60616 | − | 0.733510i | ||||
\(904\) | −24.3699 | + | 42.0054i | −0.810532 | + | 1.39708i | ||||
\(905\) | 1.10560 | − | 7.68959i | 0.0367512 | − | 0.255610i | ||||
\(906\) | 49.6574 | + | 41.7270i | 1.64976 | + | 1.38629i | ||||
\(907\) | 21.8716 | − | 18.9518i | 0.726234 | − | 0.629286i | −0.211202 | − | 0.977442i | \(-0.567738\pi\) |
0.937436 | + | 0.348157i | \(0.113192\pi\) | |||||||
\(908\) | −13.6560 | + | 2.38817i | −0.453191 | + | 0.0792541i | ||||
\(909\) | −8.78672 | − | 13.6724i | −0.291437 | − | 0.453485i | ||||
\(910\) | 3.57573 | − | 12.8983i | 0.118534 | − | 0.427573i | ||||
\(911\) | 53.3662 | − | 15.6697i | 1.76810 | − | 0.519161i | 0.774546 | − | 0.632517i | \(-0.217978\pi\) |
0.993554 | + | 0.113356i | \(0.0361600\pi\) | |||||||
\(912\) | −36.4605 | − | 49.8119i | −1.20733 | − | 1.64944i | ||||
\(913\) | −24.8810 | + | 28.7142i | −0.823441 | + | 0.950301i | ||||
\(914\) | −18.0100 | + | 2.86884i | −0.595719 | + | 0.0948930i | ||||
\(915\) | −10.7475 | − | 3.15575i | −0.355302 | − | 0.104326i | ||||
\(916\) | 26.8463 | − | 0.814483i | 0.887025 | − | 0.0269113i | ||||
\(917\) | 2.51423 | + | 17.4869i | 0.0830272 | + | 0.577467i | ||||
\(918\) | 1.17301 | + | 77.3448i | 0.0387149 | + | 2.55276i | ||||
\(919\) | 43.0788 | 1.42104 | 0.710519 | − | 0.703678i | \(-0.248460\pi\) | ||||
0.710519 | + | 0.703678i | \(0.248460\pi\) | |||||||
\(920\) | −5.44471 | − | 12.4240i | −0.179507 | − | 0.409606i | ||||
\(921\) | −69.2285 | −2.28116 | ||||||||
\(922\) | 0.339399 | + | 22.3791i | 0.0111775 | + | 0.737016i | ||||
\(923\) | −3.43968 | − | 23.9235i | −0.113218 | − | 0.787452i | ||||
\(924\) | −1.90518 | − | 62.7969i | −0.0626759 | − | 2.06587i | ||||
\(925\) | −2.31872 | − | 0.680838i | −0.0762391 | − | 0.0223858i | ||||
\(926\) | −12.7944 | + | 2.03804i | −0.420449 | + | 0.0669740i | ||||
\(927\) | 41.4981 | − | 47.8913i | 1.36298 | − | 1.57296i | ||||
\(928\) | 19.7503 | + | 7.26712i | 0.648335 | + | 0.238555i | ||||
\(929\) | 29.9973 | − | 8.80800i | 0.984179 | − | 0.288981i | 0.250231 | − | 0.968186i | \(-0.419494\pi\) |
0.733948 | + | 0.679205i | \(0.237675\pi\) | |||||||
\(930\) | −9.15088 | + | 33.0087i | −0.300069 | + | 1.08240i | ||||
\(931\) | −24.8185 | − | 38.6183i | −0.813392 | − | 1.26566i | ||||
\(932\) | −8.33057 | − | 47.6359i | −0.272877 | − | 1.56037i | ||||
\(933\) | −1.37945 | + | 1.19530i | −0.0451612 | + | 0.0391324i | ||||
\(934\) | −20.3398 | − | 17.0915i | −0.665539 | − | 0.559250i | ||||
\(935\) | −2.74951 | + | 19.1232i | −0.0899185 | + | 0.625397i | ||||
\(936\) | 18.9899 | − | 32.7321i | 0.620705 | − | 1.06988i | ||||
\(937\) | 19.8820 | + | 9.07979i | 0.649515 | + | 0.296624i | 0.712795 | − | 0.701372i | \(-0.247429\pi\) |
−0.0632799 | + | 0.997996i | \(0.520156\pi\) | |||||||
\(938\) | −26.9986 | − | 87.0434i | −0.881534 | − | 2.84207i | ||||
\(939\) | −7.31525 | + | 3.34076i | −0.238724 | + | 0.109022i | ||||
\(940\) | 1.42859 | − | 5.47430i | 0.0465954 | − | 0.178552i | ||||
\(941\) | 24.7214 | + | 15.8875i | 0.805894 | + | 0.517916i | 0.877534 | − | 0.479514i | \(-0.159187\pi\) |
−0.0716404 | + | 0.997431i | \(0.522823\pi\) | |||||||
\(942\) | 71.7794 | − | 47.6832i | 2.33870 | − | 1.55360i | ||||
\(943\) | −13.9545 | − | 36.2423i | −0.454422 | − | 1.18021i | ||||
\(944\) | 2.23986 | + | 2.28850i | 0.0729014 | + | 0.0744845i | ||||
\(945\) | −25.5034 | − | 16.3900i | −0.829625 | − | 0.533168i | ||||
\(946\) | −11.6039 | − | 12.9883i | −0.377275 | − | 0.422285i | ||||
\(947\) | 10.5359 | + | 23.0703i | 0.342369 | + | 0.749685i | 0.999993 | − | 0.00366193i | \(-0.00116563\pi\) |
−0.657624 | + | 0.753346i | \(0.728438\pi\) | |||||||
\(948\) | −32.3025 | + | 39.6473i | −1.04914 | + | 1.28768i | ||||
\(949\) | 9.43240 | + | 4.30763i | 0.306189 | + | 0.139832i | ||||
\(950\) | −7.37915 | − | 0.946985i | −0.239411 | − | 0.0307242i | ||||
\(951\) | 1.98407 | + | 0.285267i | 0.0643380 | + | 0.00925041i | ||||
\(952\) | 71.4097 | − | 36.6241i | 2.31440 | − | 1.18699i | ||||
\(953\) | 42.1276 | − | 36.5038i | 1.36465 | − | 1.18247i | 0.400752 | − | 0.916187i | \(-0.368749\pi\) |
0.963894 | − | 0.266286i | \(-0.0857965\pi\) | |||||||
\(954\) | 32.7625 | − | 74.7181i | 1.06073 | − | 2.41909i | ||||
\(955\) | 2.30074 | − | 1.47859i | 0.0744501 | − | 0.0478462i | ||||
\(956\) | 8.07740 | + | 24.7108i | 0.261242 | + | 0.799204i | ||||
\(957\) | −28.2753 | + | 8.30239i | −0.914012 | + | 0.268378i | ||||
\(958\) | −19.8363 | − | 41.7482i | −0.640882 | − | 1.34882i | ||||
\(959\) | −1.14076 | − | 0.988478i | −0.0368372 | − | 0.0319196i | ||||
\(960\) | −1.21540 | + | 23.4372i | −0.0392267 | + | 0.756432i | ||||
\(961\) | 35.6635 | + | 10.4718i | 1.15044 | + | 0.337799i | ||||
\(962\) | 4.30517 | − | 6.92776i | 0.138804 | − | 0.223360i | ||||
\(963\) | −44.7276 | + | 6.43085i | −1.44133 | + | 0.207231i | ||||
\(964\) | −15.8658 | − | 23.1150i | −0.511002 | − | 0.744485i | ||||
\(965\) | −2.05037 | −0.0660038 | ||||||||
\(966\) | −7.64972 | − | 78.5307i | −0.246126 | − | 2.52668i | ||||
\(967\) | 10.2475i | 0.329537i | 0.986332 | + | 0.164768i | \(0.0526877\pi\) | ||||
−0.986332 | + | 0.164768i | \(0.947312\pi\) | |||||||
\(968\) | −3.91935 | + | 9.73064i | −0.125973 | + | 0.312755i | ||||
\(969\) | 15.7143 | + | 109.295i | 0.504816 | + | 3.51107i | ||||
\(970\) | −6.42957 | + | 10.3463i | −0.206441 | + | 0.332199i | ||||
\(971\) | −12.4872 | + | 42.5275i | −0.400734 | + | 1.36477i | 0.474151 | + | 0.880443i | \(0.342755\pi\) |
−0.874885 | + | 0.484330i | \(0.839063\pi\) | |||||||
\(972\) | 8.78136 | + | 9.53400i | 0.281662 | + | 0.305803i | ||||
\(973\) | 19.7206 | − | 22.7587i | 0.632212 | − | 0.729611i | ||||
\(974\) | 15.3345 | − | 7.28607i | 0.491350 | − | 0.233461i | ||||
\(975\) | −1.97250 | − | 6.71772i | −0.0631706 | − | 0.215139i | ||||
\(976\) | −1.25313 | + | 15.2216i | −0.0401118 | + | 0.487232i | ||||
\(977\) | −10.8231 | − | 16.8411i | −0.346262 | − | 0.538794i | 0.623821 | − | 0.781567i | \(-0.285579\pi\) |
−0.970083 | + | 0.242773i | \(0.921943\pi\) | |||||||
\(978\) | 10.3344 | − | 23.5686i | 0.330457 | − | 0.753640i | ||||
\(979\) | −30.5166 | − | 35.2180i | −0.975314 | − | 1.12557i | ||||
\(980\) | −1.95875 | + | 17.3422i | −0.0625700 | + | 0.553977i | ||||
\(981\) | −1.03492 | + | 7.19801i | −0.0330424 | + | 0.229815i | ||||
\(982\) | 1.51240 | − | 11.7850i | 0.0482625 | − | 0.376074i | ||||
\(983\) | 23.9740 | − | 52.4956i | 0.764650 | − | 1.67435i | 0.0265612 | − | 0.999647i | \(-0.491544\pi\) |
0.738089 | − | 0.674703i | \(-0.235728\pi\) | |||||||
\(984\) | −6.52777 | + | 66.8735i | −0.208098 | + | 2.13185i | ||||
\(985\) | 0.142938 | − | 0.0652776i | 0.00455438 | − | 0.00207992i | ||||
\(986\) | −25.0800 | − | 28.0722i | −0.798711 | − | 0.894001i | ||||
\(987\) | 17.7920 | − | 27.6849i | 0.566325 | − | 0.881220i | ||||
\(988\) | 9.73370 | − | 23.1468i | 0.309670 | − | 0.736399i | ||||
\(989\) | −15.6291 | − | 15.3031i | −0.496978 | − | 0.486611i | ||||
\(990\) | −11.8453 | − | 17.8312i | −0.376469 | − | 0.566714i | ||||
\(991\) | −2.19995 | + | 3.42319i | −0.0698837 | + | 0.108741i | −0.874437 | − | 0.485140i | \(-0.838769\pi\) |
0.804553 | + | 0.593881i | \(0.202405\pi\) | |||||||
\(992\) | 46.6009 | + | 3.12581i | 1.47958 | + | 0.0992446i | ||||
\(993\) | −1.62580 | − | 3.56001i | −0.0515933 | − | 0.112973i | ||||
\(994\) | 16.8257 | + | 54.2459i | 0.533678 | + | 1.72058i | ||||
\(995\) | −7.65477 | + | 16.7616i | −0.242673 | + | 0.531379i | ||||
\(996\) | 74.0213 | − | 36.5566i | 2.34546 | − | 1.15834i | ||||
\(997\) | −31.8879 | − | 4.58478i | −1.00990 | − | 0.145202i | −0.382546 | − | 0.923936i | \(-0.624953\pi\) |
−0.627353 | + | 0.778735i | \(0.715862\pi\) | |||||||
\(998\) | −12.9767 | + | 15.4431i | −0.410772 | + | 0.488841i | ||||
\(999\) | −12.0980 | − | 13.9619i | −0.382764 | − | 0.441734i |
(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 | 920.2.bb.a.251.2 | yes | 480 | |
8.3 | odd | 2 | 920.2.bb.b.251.20 | yes | 480 | ||
23.11 | odd | 22 | 920.2.bb.b.11.20 | yes | 480 | ||
184.11 | even | 22 | inner | 920.2.bb.a.11.2 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bb.a.11.2 | ✓ | 480 | 184.11 | even | 22 | inner | |
920.2.bb.a.251.2 | yes | 480 | 1.1 | even | 1 | trivial | |
920.2.bb.b.11.20 | yes | 480 | 23.11 | odd | 22 | ||
920.2.bb.b.251.20 | yes | 480 | 8.3 | odd | 2 |